diff options
| author | dos-reis <gdr@axiomatics.org> | 2009-05-15 19:38:25 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2009-05-15 19:38:25 +0000 |
| commit | ee573325df58dbcc33596630d2710ad2cd37a77d (patch) | |
| tree | cc70f7c9c4f174b8576a16f61da0f511ae8bc954 /src/share/algebra/browse.daase | |
| parent | 530c1ee0f24568ecb6d61c3ce2c7af1863595fdf (diff) | |
| download | open-axiom-ee573325df58dbcc33596630d2710ad2cd37a77d.tar.gz | |
* algebra/algfunc.spad.pamphlet (AlgebraicFunction): User
Identifiers for property names.
* algebra/combfunc.spad.pamphlet: Likewise.
* algebra/constant.spad.pamphlet: Likewise.
* algebra/efstruc.spad.pamphlet: Likewise.
* algebra/elemntry.spad.pamphlet: Likewise.
* algebra/expr.spad.pamphlet: Likewise.
* algebra/fspace.spad.pamphlet: Likewise.
* algebra/intef.spad.pamphlet: Likewise.
* algebra/integrat.spad.pamphlet: Likewise.
* algebra/kl.spad.pamphlet: Likewise.
* algebra/laplace.spad.pamphlet: Likewise.
* algebra/limitps.spad.pamphlet: Likewise.
* algebra/liouv.spad.pamphlet: Likewise.
* algebra/rdeef.spad.pamphlet: Likewise.
* algebra/pfo.spad.pamphlet: Likewise.
* algebra/op.spad.pamphlet: Likewise.
* algebra/odeef.spad.pamphlet: Likewise.
* algebra/manip.spad.pamphlet: Likewise.
Diffstat (limited to 'src/share/algebra/browse.daase')
| -rw-r--r-- | src/share/algebra/browse.daase | 52 |
1 files changed, 26 insertions, 26 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index beaaf23e..e3c6990f 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2283545 . 3451393490) +(2283441 . 3451403472) (-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 -2308 UP UPUP -2432) +(-40 -2308 UP UPUP -3722) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4399 |has| (-407 |#2|) (-363)) (-4404 |has| (-407 |#2|) (-363)) (-4398 |has| (-407 |#2|) (-363)) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) ((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-2797 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-2797 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-2797 (-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)))) (-2797 (|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))))) @@ -385,7 +385,7 @@ NIL NIL ((|HasCategory| |#1| (QUOTE (-846)))) (-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.") (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,{}p)} tests if property \\spad{s} is attached to \\spad{op}.") (((|Boolean|) $ (|String|)) "\\spad{has?(op,{} s)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|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|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) +((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|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.") (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,{}p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f,{} a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) NIL NIL (-115 -2308 UP) @@ -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| -3227 -2866 |exactQuo|) +(-289 S R |Mod| -4023 -4146 |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"))) ((-4399 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . 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."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (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))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (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."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (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))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (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."))) ((-4407 . T)) @@ -2307,7 +2307,7 @@ NIL (-594 |Coef|) ((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain \\indented{2}{used for creating sparse Taylor and Laurent series.}")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,{}r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,{}r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,{}refer,{}var,{}cen,{}r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,{}g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,{}g,{}taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,{}f)} returns the series \\spad{sum(fn(n) * an * x^n,{}n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,{}n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |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.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,{}str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|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 (-564)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|)))) (|HasCategory| (-564) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564)))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|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 (-564)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|)))) (|HasCategory| (-564) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564)))))) (-595 |Coef|) ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.") (($ $ |#1|) "\\spad{x*c} returns the product of \\spad{c} and the series \\spad{x}.") (($ |#1| $) "\\spad{c*x} returns the product of \\spad{c} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,{}n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) ((-4401 |has| |#1| (-556)) (-4400 |has| |#1| (-556)) ((-4408 "*") |has| |#1| (-556)) (-4399 |has| |#1| (-556)) (-4403 . 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 -4348) +(-654 A -2606) ((|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}}"))) ((-4400 . T) (-4401 . T) (-4403 . 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)))) @@ -2736,7 +2736,7 @@ NIL ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,{}b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}."))) NIL NIL -(-702 S -3930 I) +(-702 S -3932 I) ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr,{} x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) NIL NIL @@ -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| -3227 -2866 |exactQuo|) +(-707 R |Mod| -4023 -4146 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4398 . T) (-4404 . T) (-4399 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) NIL @@ -2772,7 +2772,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4401 |has| |#1| (-172)) (-4400 |has| |#1| (-172)) (-4403 . T)) ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147)))) -(-711 R |Mod| -3227 -2866 |exactQuo|) +(-711 R |Mod| -4023 -4146 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4403 . T)) NIL @@ -3472,7 +3472,7 @@ NIL ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r,{} p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,{}e1],{}...,{}[vn,{}en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var,{} expr,{} r,{} val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var,{} r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a,{} b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) NIL NIL -(-886 R -3930) +(-886 R -3932) ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p,{} v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,{}...,{}vn],{} p)} returns \\spad{f(v1,{}...,{}vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v,{} p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p,{} [a1,{}...,{}an],{} f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,{}...,{}an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p,{} [f1,{}...,{}fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p,{} f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) NIL NIL @@ -3633,7 +3633,7 @@ NIL NIL NIL (-926) -((|constructor| (NIL "Attaching assertions to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list.")) (|optional| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation)..")) (|constant| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity.")) (|assert| (((|Expression| (|Integer|)) (|Symbol|) (|String|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}."))) +((|constructor| (NIL "Attaching assertions to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list.")) (|optional| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation)..")) (|constant| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity.")) (|assert| (((|Expression| (|Integer|)) (|Symbol|) (|Identifier|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}."))) NIL NIL (-927 S A B) @@ -3660,11 +3660,11 @@ NIL ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p,{} pat,{} res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p,{} pat,{} res,{} vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -882) (|devaluate| |#1|)))) -(-933 R -2308 -3930) +(-933 R -2308 -3932) ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol."))) NIL NIL -(-934 -3930) +(-934 -3932) ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}."))) NIL NIL @@ -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."))) (((-4408 "*") -2797 (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-172)) (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4399 -2797 (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-556)) (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) -((-2797 (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-816))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-846))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-1018))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-1145))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -286) (LIST (QUOTE -1168) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)) (LIST (QUOTE -1168) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -309) (LIST (QUOTE -1168) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -514) (QUOTE (-1170)) (LIST (QUOTE -1168) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 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(|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n),{} n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n),{} n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) NIL @@ -4599,11 +4599,11 @@ NIL (-1167 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) 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We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . 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(NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) 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|#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-816))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-172)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-846))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-363)))) (-2797 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-145))))) (-1224 ZP) ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,{}flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) NIL @@ -4875,7 +4875,7 @@ NIL (-1236 S |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#2| $ |#3|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1106))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2345) (LIST (|devaluate| |#2|) (QUOTE (-1170)))))) +((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1106))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2344) (LIST (|devaluate| |#2|) (QUOTE (-1170)))))) (-1237 |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#1| $ |#2|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) @@ -4903,11 +4903,11 @@ NIL (-1243 |Coef| ULS) ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) -((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (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))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (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}."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (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))) (-2797 (|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))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|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 -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-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 -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) (((-4408 "*") |has| (-1244 |#2| |#3| |#4|) (-172)) (-4399 |has| (-1244 |#2| |#3| |#4|) (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) @@ -4927,7 +4927,7 @@ NIL (-1249 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 -2559) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4206) (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 -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3847) (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."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . 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}."))) (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|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 -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (-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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|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 -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (-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 -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (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 2283525 2283530 2283535 2283540) (-2 NIL 2283505 2283510 2283515 2283520) (-1 NIL 2283485 2283490 2283495 2283500) (0 NIL 2283465 2283470 2283475 2283480) (-1287 "ZMOD.spad" 2283274 2283287 2283403 2283460) (-1286 "ZLINDEP.spad" 2282318 2282329 2283264 2283269) (-1285 "ZDSOLVE.spad" 2272167 2272189 2282308 2282313) (-1284 "YSTREAM.spad" 2271660 2271671 2272157 2272162) (-1283 "XRPOLY.spad" 2270880 2270900 2271516 2271585) (-1282 "XPR.spad" 2268671 2268684 2270598 2270697) (-1281 "XPOLY.spad" 2268226 2268237 2268527 2268596) (-1280 "XPOLYC.spad" 2267543 2267559 2268152 2268221) (-1279 "XPBWPOLY.spad" 2265980 2266000 2267323 2267392) (-1278 "XF.spad" 2264441 2264456 2265882 2265975) (-1277 "XF.spad" 2262882 2262899 2264325 2264330) (-1276 "XFALG.spad" 2259906 2259922 2262808 2262877) (-1275 "XEXPPKG.spad" 2259157 2259183 2259896 2259901) (-1274 "XDPOLY.spad" 2258771 2258787 2259013 2259082) (-1273 "XALG.spad" 2258431 2258442 2258727 2258766) (-1272 "WUTSET.spad" 2254270 2254287 2258077 2258104) (-1271 "WP.spad" 2253469 2253513 2254128 2254195) (-1270 "WHILEAST.spad" 2253267 2253276 2253459 2253464) (-1269 "WHEREAST.spad" 2252938 2252947 2253257 2253262) (-1268 "WFFINTBS.spad" 2250501 2250523 2252928 2252933) (-1267 "WEIER.spad" 2248715 2248726 2250491 2250496) (-1266 "VSPACE.spad" 2248388 2248399 2248683 2248710) (-1265 "VSPACE.spad" 2248081 2248094 2248378 2248383) (-1264 "VOID.spad" 2247758 2247767 2248071 2248076) (-1263 "VIEW.spad" 2245380 2245389 2247748 2247753) (-1262 "VIEWDEF.spad" 2240577 2240586 2245370 2245375) (-1261 "VIEW3D.spad" 2224412 2224421 2240567 2240572) (-1260 "VIEW2D.spad" 2212149 2212158 2224402 2224407) (-1259 "VECTOR.spad" 2210824 2210835 2211075 2211102) (-1258 "VECTOR2.spad" 2209451 2209464 2210814 2210819) (-1257 "VECTCAT.spad" 2207351 2207362 2209419 2209446) (-1256 "VECTCAT.spad" 2205059 2205072 2207129 2207134) (-1255 "VARIABLE.spad" 2204839 2204854 2205049 2205054) (-1254 "UTYPE.spad" 2204483 2204492 2204829 2204834) (-1253 "UTSODETL.spad" 2203776 2203800 2204439 2204444) (-1252 "UTSODE.spad" 2201964 2201984 2203766 2203771) (-1251 "UTS.spad" 2196753 2196781 2200431 2200528) (-1250 "UTSCAT.spad" 2194204 2194220 2196651 2196748) (-1249 "UTSCAT.spad" 2191299 2191317 2193748 2193753) (-1248 "UTS2.spad" 2190892 2190927 2191289 2191294) (-1247 "URAGG.spad" 2185524 2185535 2190882 2190887) (-1246 "URAGG.spad" 2180120 2180133 2185480 2185485) (-1245 "UPXSSING.spad" 2177763 2177789 2179201 2179334) (-1244 "UPXS.spad" 2174911 2174939 2175895 2176044) (-1243 "UPXSCONS.spad" 2172668 2172688 2173043 2173192) (-1242 "UPXSCCA.spad" 2171233 2171253 2172514 2172663) (-1241 "UPXSCCA.spad" 2169940 2169962 2171223 2171228) (-1240 "UPXSCAT.spad" 2168521 2168537 2169786 2169935) (-1239 "UPXS2.spad" 2168062 2168115 2168511 2168516) (-1238 "UPSQFREE.spad" 2166474 2166488 2168052 2168057) (-1237 "UPSCAT.spad" 2164067 2164091 2166372 2166469) (-1236 "UPSCAT.spad" 2161366 2161392 2163673 2163678) (-1235 "UPOLYC.spad" 2156344 2156355 2161208 2161361) (-1234 "UPOLYC.spad" 2151214 2151227 2156080 2156085) (-1233 "UPOLYC2.spad" 2150683 2150702 2151204 2151209) (-1232 "UP.spad" 2147840 2147855 2148233 2148386) (-1231 "UPMP.spad" 2146730 2146743 2147830 2147835) (-1230 "UPDIVP.spad" 2146293 2146307 2146720 2146725) (-1229 "UPDECOMP.spad" 2144530 2144544 2146283 2146288) (-1228 "UPCDEN.spad" 2143737 2143753 2144520 2144525) (-1227 "UP2.spad" 2143099 2143120 2143727 2143732) (-1226 "UNISEG.spad" 2142452 2142463 2143018 2143023) (-1225 "UNISEG2.spad" 2141945 2141958 2142408 2142413) (-1224 "UNIFACT.spad" 2141046 2141058 2141935 2141940) (-1223 "ULS.spad" 2131598 2131626 2132691 2133120) (-1222 "ULSCONS.spad" 2123992 2124012 2124364 2124513) (-1221 "ULSCCAT.spad" 2121721 2121741 2123838 2123987) (-1220 "ULSCCAT.spad" 2119558 2119580 2121677 2121682) (-1219 "ULSCAT.spad" 2117774 2117790 2119404 2119553) (-1218 "ULS2.spad" 2117286 2117339 2117764 2117769) (-1217 "UINT8.spad" 2117163 2117172 2117276 2117281) (-1216 "UINT64.spad" 2117039 2117048 2117153 2117158) (-1215 "UINT32.spad" 2116915 2116924 2117029 2117034) (-1214 "UINT16.spad" 2116791 2116800 2116905 2116910) (-1213 "UFD.spad" 2115856 2115865 2116717 2116786) (-1212 "UFD.spad" 2114983 2114994 2115846 2115851) (-1211 "UDVO.spad" 2113830 2113839 2114973 2114978) (-1210 "UDPO.spad" 2111257 2111268 2113786 2113791) (-1209 "TYPE.spad" 2111189 2111198 2111247 2111252) (-1208 "TYPEAST.spad" 2111108 2111117 2111179 2111184) (-1207 "TWOFACT.spad" 2109758 2109773 2111098 2111103) (-1206 "TUPLE.spad" 2109242 2109253 2109657 2109662) (-1205 "TUBETOOL.spad" 2106079 2106088 2109232 2109237) (-1204 "TUBE.spad" 2104720 2104737 2106069 2106074) (-1203 "TS.spad" 2103309 2103325 2104285 2104382) (-1202 "TSETCAT.spad" 2090436 2090453 2103277 2103304) (-1201 "TSETCAT.spad" 2077549 2077568 2090392 2090397) (-1200 "TRMANIP.spad" 2071915 2071932 2077255 2077260) (-1199 "TRIMAT.spad" 2070874 2070899 2071905 2071910) (-1198 "TRIGMNIP.spad" 2069391 2069408 2070864 2070869) (-1197 "TRIGCAT.spad" 2068903 2068912 2069381 2069386) (-1196 "TRIGCAT.spad" 2068413 2068424 2068893 2068898) (-1195 "TREE.spad" 2066984 2066995 2068020 2068047) (-1194 "TRANFUN.spad" 2066815 2066824 2066974 2066979) (-1193 "TRANFUN.spad" 2066644 2066655 2066805 2066810) (-1192 "TOPSP.spad" 2066318 2066327 2066634 2066639) (-1191 "TOOLSIGN.spad" 2065981 2065992 2066308 2066313) (-1190 "TEXTFILE.spad" 2064538 2064547 2065971 2065976) (-1189 "TEX.spad" 2061670 2061679 2064528 2064533) (-1188 "TEX1.spad" 2061226 2061237 2061660 2061665) (-1187 "TEMUTL.spad" 2060781 2060790 2061216 2061221) (-1186 "TBCMPPK.spad" 2058874 2058897 2060771 2060776) (-1185 "TBAGG.spad" 2057910 2057933 2058854 2058869) (-1184 "TBAGG.spad" 2056954 2056979 2057900 2057905) (-1183 "TANEXP.spad" 2056330 2056341 2056944 2056949) (-1182 "TABLE.spad" 2054741 2054764 2055011 2055038) (-1181 "TABLEAU.spad" 2054222 2054233 2054731 2054736) (-1180 "TABLBUMP.spad" 2051005 2051016 2054212 2054217) (-1179 "SYSTEM.spad" 2050233 2050242 2050995 2051000) (-1178 "SYSSOLP.spad" 2047706 2047717 2050223 2050228) (-1177 "SYSNNI.spad" 2046886 2046897 2047696 2047701) (-1176 "SYSINT.spad" 2046290 2046301 2046876 2046881) (-1175 "SYNTAX.spad" 2042484 2042493 2046280 2046285) (-1174 "SYMTAB.spad" 2040540 2040549 2042474 2042479) (-1173 "SYMS.spad" 2036525 2036534 2040530 2040535) (-1172 "SYMPOLY.spad" 2035532 2035543 2035614 2035741) (-1171 "SYMFUNC.spad" 2035007 2035018 2035522 2035527) (-1170 "SYMBOL.spad" 2032434 2032443 2034997 2035002) (-1169 "SWITCH.spad" 2029191 2029200 2032424 2032429) (-1168 "SUTS.spad" 2026090 2026118 2027658 2027755) (-1167 "SUPXS.spad" 2023225 2023253 2024222 2024371) (-1166 "SUP.spad" 2019994 2020005 2020775 2020928) (-1165 "SUPFRACF.spad" 2019099 2019117 2019984 2019989) (-1164 "SUP2.spad" 2018489 2018502 2019089 2019094) (-1163 "SUMRF.spad" 2017455 2017466 2018479 2018484) (-1162 "SUMFS.spad" 2017088 2017105 2017445 2017450) (-1161 "SULS.spad" 2007627 2007655 2008733 2009162) (-1160 "SUCHTAST.spad" 2007396 2007405 2007617 2007622) (-1159 "SUCH.spad" 2007076 2007091 2007386 2007391) (-1158 "SUBSPACE.spad" 1999083 1999098 2007066 2007071) (-1157 "SUBRESP.spad" 1998243 1998257 1999039 1999044) (-1156 "STTF.spad" 1994342 1994358 1998233 1998238) (-1155 "STTFNC.spad" 1990810 1990826 1994332 1994337) (-1154 "STTAYLOR.spad" 1983208 1983219 1990691 1990696) (-1153 "STRTBL.spad" 1981713 1981730 1981862 1981889) (-1152 "STRING.spad" 1981122 1981131 1981136 1981163) (-1151 "STRICAT.spad" 1980910 1980919 1981090 1981117) (-1150 "STREAM.spad" 1977768 1977779 1980435 1980450) (-1149 "STREAM3.spad" 1977313 1977328 1977758 1977763) (-1148 "STREAM2.spad" 1976381 1976394 1977303 1977308) (-1147 "STREAM1.spad" 1976085 1976096 1976371 1976376) (-1146 "STINPROD.spad" 1974991 1975007 1976075 1976080) (-1145 "STEP.spad" 1974192 1974201 1974981 1974986) (-1144 "STBL.spad" 1972718 1972746 1972885 1972900) (-1143 "STAGG.spad" 1971793 1971804 1972708 1972713) (-1142 "STAGG.spad" 1970866 1970879 1971783 1971788) (-1141 "STACK.spad" 1970217 1970228 1970473 1970500) (-1140 "SREGSET.spad" 1967921 1967938 1969863 1969890) (-1139 "SRDCMPK.spad" 1966466 1966486 1967911 1967916) (-1138 "SRAGG.spad" 1961563 1961572 1966434 1966461) (-1137 "SRAGG.spad" 1956680 1956691 1961553 1961558) (-1136 "SQMATRIX.spad" 1954296 1954314 1955212 1955299) (-1135 "SPLTREE.spad" 1948848 1948861 1953732 1953759) (-1134 "SPLNODE.spad" 1945436 1945449 1948838 1948843) (-1133 "SPFCAT.spad" 1944213 1944222 1945426 1945431) (-1132 "SPECOUT.spad" 1942763 1942772 1944203 1944208) (-1131 "SPADXPT.spad" 1934902 1934911 1942753 1942758) (-1130 "spad-parser.spad" 1934367 1934376 1934892 1934897) (-1129 "SPADAST.spad" 1934068 1934077 1934357 1934362) (-1128 "SPACEC.spad" 1918081 1918092 1934058 1934063) (-1127 "SPACE3.spad" 1917857 1917868 1918071 1918076) (-1126 "SORTPAK.spad" 1917402 1917415 1917813 1917818) (-1125 "SOLVETRA.spad" 1915159 1915170 1917392 1917397) (-1124 "SOLVESER.spad" 1913679 1913690 1915149 1915154) (-1123 "SOLVERAD.spad" 1909689 1909700 1913669 1913674) (-1122 "SOLVEFOR.spad" 1908109 1908127 1909679 1909684) (-1121 "SNTSCAT.spad" 1907709 1907726 1908077 1908104) (-1120 "SMTS.spad" 1905969 1905995 1907274 1907371) (-1119 "SMP.spad" 1903408 1903428 1903798 1903925) (-1118 "SMITH.spad" 1902251 1902276 1903398 1903403) (-1117 "SMATCAT.spad" 1900361 1900391 1902195 1902246) (-1116 "SMATCAT.spad" 1898403 1898435 1900239 1900244) (-1115 "SKAGG.spad" 1897364 1897375 1898371 1898398) (-1114 "SINT.spad" 1896190 1896199 1897230 1897359) (-1113 "SIMPAN.spad" 1895918 1895927 1896180 1896185) (-1112 "SIG.spad" 1895246 1895255 1895908 1895913) (-1111 "SIGNRF.spad" 1894354 1894365 1895236 1895241) (-1110 "SIGNEF.spad" 1893623 1893640 1894344 1894349) (-1109 "SIGAST.spad" 1893004 1893013 1893613 1893618) (-1108 "SHP.spad" 1890922 1890937 1892960 1892965) (-1107 "SHDP.spad" 1880633 1880660 1881142 1881273) 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1247178 1247183) (-769 "NONE1.spad" 1246605 1246615 1246919 1246924) (-768 "NODE1.spad" 1246074 1246090 1246595 1246600) (-767 "NNI.spad" 1244961 1244969 1246048 1246069) (-766 "NLINSOL.spad" 1243583 1243593 1244951 1244956) (-765 "NIPROB.spad" 1242124 1242132 1243573 1243578) (-764 "NFINTBAS.spad" 1239584 1239601 1242114 1242119) (-763 "NETCLT.spad" 1239558 1239569 1239574 1239579) (-762 "NCODIV.spad" 1237756 1237772 1239548 1239553) (-761 "NCNTFRAC.spad" 1237398 1237412 1237746 1237751) (-760 "NCEP.spad" 1235558 1235572 1237388 1237393) (-759 "NASRING.spad" 1235154 1235162 1235548 1235553) (-758 "NASRING.spad" 1234748 1234758 1235144 1235149) (-757 "NARNG.spad" 1234092 1234100 1234738 1234743) (-756 "NARNG.spad" 1233434 1233444 1234082 1234087) (-755 "NAGSP.spad" 1232507 1232515 1233424 1233429) (-754 "NAGS.spad" 1222032 1222040 1232497 1232502) (-753 "NAGF07.spad" 1220425 1220433 1222022 1222027) (-752 "NAGF04.spad" 1214657 1214665 1220415 1220420) (-751 "NAGF02.spad" 1208466 1208474 1214647 1214652) (-750 "NAGF01.spad" 1204069 1204077 1208456 1208461) (-749 "NAGE04.spad" 1197529 1197537 1204059 1204064) (-748 "NAGE02.spad" 1187871 1187879 1197519 1197524) (-747 "NAGE01.spad" 1183755 1183763 1187861 1187866) (-746 "NAGD03.spad" 1181675 1181683 1183745 1183750) (-745 "NAGD02.spad" 1174206 1174214 1181665 1181670) (-744 "NAGD01.spad" 1168319 1168327 1174196 1174201) (-743 "NAGC06.spad" 1164106 1164114 1168309 1168314) (-742 "NAGC05.spad" 1162575 1162583 1164096 1164101) (-741 "NAGC02.spad" 1161830 1161838 1162565 1162570) (-740 "NAALG.spad" 1161365 1161375 1161798 1161825) (-739 "NAALG.spad" 1160920 1160932 1161355 1161360) (-738 "MULTSQFR.spad" 1157878 1157895 1160910 1160915) (-737 "MULTFACT.spad" 1157261 1157278 1157868 1157873) (-736 "MTSCAT.spad" 1155295 1155316 1157159 1157256) (-735 "MTHING.spad" 1154952 1154962 1155285 1155290) (-734 "MSYSCMD.spad" 1154386 1154394 1154942 1154947) (-733 "MSET.spad" 1152328 1152338 1154092 1154131) (-732 "MSETAGG.spad" 1152173 1152183 1152296 1152323) (-731 "MRING.spad" 1149144 1149156 1151881 1151948) (-730 "MRF2.spad" 1148712 1148726 1149134 1149139) (-729 "MRATFAC.spad" 1148258 1148275 1148702 1148707) (-728 "MPRFF.spad" 1146288 1146307 1148248 1148253) (-727 "MPOLY.spad" 1143723 1143738 1144082 1144209) (-726 "MPCPF.spad" 1142987 1143006 1143713 1143718) (-725 "MPC3.spad" 1142802 1142842 1142977 1142982) (-724 "MPC2.spad" 1142444 1142477 1142792 1142797) (-723 "MONOTOOL.spad" 1140779 1140796 1142434 1142439) (-722 "MONOID.spad" 1140098 1140106 1140769 1140774) (-721 "MONOID.spad" 1139415 1139425 1140088 1140093) (-720 "MONOGEN.spad" 1138161 1138174 1139275 1139410) (-719 "MONOGEN.spad" 1136929 1136944 1138045 1138050) (-718 "MONADWU.spad" 1134943 1134951 1136919 1136924) (-717 "MONADWU.spad" 1132955 1132965 1134933 1134938) (-716 "MONAD.spad" 1132099 1132107 1132945 1132950) (-715 "MONAD.spad" 1131241 1131251 1132089 1132094) (-714 "MOEBIUS.spad" 1129927 1129941 1131221 1131236) (-713 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1114014) (-694 "MFINFACT.spad" 1111935 1111957 1112525 1112530) (-693 "MESH.spad" 1109667 1109675 1111925 1111930) (-692 "MDDFACT.spad" 1107860 1107870 1109657 1109662) (-691 "MDAGG.spad" 1107147 1107157 1107840 1107855) (-690 "MCMPLX.spad" 1103121 1103129 1103735 1103936) (-689 "MCDEN.spad" 1102329 1102341 1103111 1103116) (-688 "MCALCFN.spad" 1099431 1099457 1102319 1102324) (-687 "MAYBE.spad" 1098715 1098726 1099421 1099426) (-686 "MATSTOR.spad" 1095991 1096001 1098705 1098710) (-685 "MATRIX.spad" 1094695 1094705 1095179 1095206) (-684 "MATLIN.spad" 1092021 1092045 1094579 1094584) (-683 "MATCAT.spad" 1083606 1083628 1091989 1092016) (-682 "MATCAT.spad" 1075063 1075087 1083448 1083453) (-681 "MATCAT2.spad" 1074331 1074379 1075053 1075058) (-680 "MAPPKG3.spad" 1073230 1073244 1074321 1074326) (-679 "MAPPKG2.spad" 1072564 1072576 1073220 1073225) (-678 "MAPPKG1.spad" 1071382 1071392 1072554 1072559) (-677 "MAPPAST.spad" 1070695 1070703 1071372 1071377) (-676 "MAPHACK3.spad" 1070503 1070517 1070685 1070690) (-675 "MAPHACK2.spad" 1070268 1070280 1070493 1070498) (-674 "MAPHACK1.spad" 1069898 1069908 1070258 1070263) (-673 "MAGMA.spad" 1067688 1067705 1069888 1069893) (-672 "MACROAST.spad" 1067267 1067275 1067678 1067683) (-671 "M3D.spad" 1064963 1064973 1066645 1066650) (-670 "LZSTAGG.spad" 1062191 1062201 1064953 1064958) (-669 "LZSTAGG.spad" 1059417 1059429 1062181 1062186) (-668 "LWORD.spad" 1056122 1056139 1059407 1059412) (-667 "LSTAST.spad" 1055906 1055914 1056112 1056117) (-666 "LSQM.spad" 1054132 1054146 1054530 1054581) (-665 "LSPP.spad" 1053665 1053682 1054122 1054127) (-664 "LSMP.spad" 1052505 1052533 1053655 1053660) (-663 "LSMP1.spad" 1050309 1050323 1052495 1052500) (-662 "LSAGG.spad" 1049978 1049988 1050277 1050304) (-661 "LSAGG.spad" 1049667 1049679 1049968 1049973) (-660 "LPOLY.spad" 1048621 1048640 1049523 1049592) (-659 "LPEFRAC.spad" 1047878 1047888 1048611 1048616) (-658 "LO.spad" 1047279 1047293 1047812 1047839) (-657 "LOGIC.spad" 1046881 1046889 1047269 1047274) (-656 "LOGIC.spad" 1046481 1046491 1046871 1046876) (-655 "LODOOPS.spad" 1045399 1045411 1046471 1046476) (-654 "LODO.spad" 1044783 1044799 1045079 1045118) (-653 "LODOF.spad" 1043827 1043844 1044740 1044745) (-652 "LODOCAT.spad" 1042485 1042495 1043783 1043822) (-651 "LODOCAT.spad" 1041141 1041153 1042441 1042446) (-650 "LODO2.spad" 1040414 1040426 1040821 1040860) (-649 "LODO1.spad" 1039814 1039824 1040094 1040133) (-648 "LODEEF.spad" 1038586 1038604 1039804 1039809) (-647 "LNAGG.spad" 1034388 1034398 1038576 1038581) (-646 "LNAGG.spad" 1030154 1030166 1034344 1034349) (-645 "LMOPS.spad" 1026890 1026907 1030144 1030149) (-644 "LMODULE.spad" 1026532 1026542 1026880 1026885) (-643 "LMDICT.spad" 1025815 1025825 1026083 1026110) (-642 "LITERAL.spad" 1025721 1025732 1025805 1025810) (-641 "LIST.spad" 1023439 1023449 1024868 1024895) (-640 "LIST3.spad" 1022730 1022744 1023429 1023434) (-639 "LIST2.spad" 1021370 1021382 1022720 1022725) (-638 "LIST2MAP.spad" 1018247 1018259 1021360 1021365) (-637 "LINEXP.spad" 1017679 1017689 1018227 1018242) (-636 "LINDEP.spad" 1016456 1016468 1017591 1017596) (-635 "LIMITRF.spad" 1014370 1014380 1016446 1016451) (-634 "LIMITPS.spad" 1013253 1013266 1014360 1014365) (-633 "LIE.spad" 1011267 1011279 1012543 1012688) (-632 "LIECAT.spad" 1010743 1010753 1011193 1011262) (-631 "LIECAT.spad" 1010247 1010259 1010699 1010704) (-630 "LIB.spad" 1008295 1008303 1008906 1008921) (-629 "LGROBP.spad" 1005648 1005667 1008285 1008290) (-628 "LF.spad" 1004567 1004583 1005638 1005643) (-627 "LFCAT.spad" 1003586 1003594 1004557 1004562) (-626 "LEXTRIPK.spad" 999089 999104 1003576 1003581) (-625 "LEXP.spad" 997092 997119 999069 999084) (-624 "LETAST.spad" 996791 996799 997082 997087) (-623 "LEADCDET.spad" 995175 995192 996781 996786) (-622 "LAZM3PK.spad" 993879 993901 995165 995170) (-621 "LAUPOL.spad" 992568 992581 993472 993541) (-620 "LAPLACE.spad" 992141 992157 992558 992563) (-619 "LA.spad" 991581 991595 992063 992102) (-618 "LALG.spad" 991357 991367 991561 991576) (-617 "LALG.spad" 991141 991153 991347 991352) (-616 "KVTFROM.spad" 990876 990886 991131 991136) (-615 "KTVLOGIC.spad" 990299 990307 990866 990871) (-614 "KRCFROM.spad" 990037 990047 990289 990294) (-613 "KOVACIC.spad" 988750 988767 990027 990032) (-612 "KONVERT.spad" 988472 988482 988740 988745) (-611 "KOERCE.spad" 988209 988219 988462 988467) (-610 "KERNEL.spad" 986744 986754 987993 987998) (-609 "KERNEL2.spad" 986447 986459 986734 986739) (-608 "KDAGG.spad" 985550 985572 986427 986442) (-607 "KDAGG.spad" 984661 984685 985540 985545) (-606 "KAFILE.spad" 983624 983640 983859 983886) (-605 "JORDAN.spad" 981451 981463 982914 983059) (-604 "JOINAST.spad" 981145 981153 981441 981446) (-603 "JAVACODE.spad" 981011 981019 981135 981140) (-602 "IXAGG.spad" 979134 979158 981001 981006) (-601 "IXAGG.spad" 977112 977138 978981 978986) (-600 "IVECTOR.spad" 975883 975898 976038 976065) (-599 "ITUPLE.spad" 975028 975038 975873 975878) (-598 "ITRIGMNP.spad" 973839 973858 975018 975023) (-597 "ITFUN3.spad" 973333 973347 973829 973834) (-596 "ITFUN2.spad" 973063 973075 973323 973328) (-595 "ITAYLOR.spad" 970855 970870 972899 973024) (-594 "ISUPS.spad" 963266 963281 969829 969926) (-593 "ISUMP.spad" 962763 962779 963256 963261) (-592 "ISTRING.spad" 961766 961779 961932 961959) (-591 "ISAST.spad" 961485 961493 961756 961761) (-590 "IRURPK.spad" 960198 960217 961475 961480) (-589 "IRSN.spad" 958158 958166 960188 960193) (-588 "IRRF2F.spad" 956633 956643 958114 958119) (-587 "IRREDFFX.spad" 956234 956245 956623 956628) (-586 "IROOT.spad" 954565 954575 956224 956229) (-585 "IR.spad" 952354 952368 954420 954447) (-584 "IR2.spad" 951374 951390 952344 952349) (-583 "IR2F.spad" 950574 950590 951364 951369) (-582 "IPRNTPK.spad" 950334 950342 950564 950569) (-581 "IPF.spad" 949899 949911 950139 950232) (-580 "IPADIC.spad" 949660 949686 949825 949894) (-579 "IP4ADDR.spad" 949217 949225 949650 949655) (-578 "IOMODE.spad" 948838 948846 949207 949212) (-577 "IOBFILE.spad" 948199 948207 948828 948833) (-576 "IOBCON.spad" 948064 948072 948189 948194) (-575 "INVLAPLA.spad" 947709 947725 948054 948059) (-574 "INTTR.spad" 940955 940972 947699 947704) (-573 "INTTOOLS.spad" 938666 938682 940529 940534) (-572 "INTSLPE.spad" 937972 937980 938656 938661) (-571 "INTRVL.spad" 937538 937548 937886 937967) (-570 "INTRF.spad" 935902 935916 937528 937533) (-569 "INTRET.spad" 935334 935344 935892 935897) (-568 "INTRAT.spad" 934009 934026 935324 935329) (-567 "INTPM.spad" 932372 932388 933652 933657) (-566 "INTPAF.spad" 930140 930158 932304 932309) (-565 "INTPACK.spad" 920450 920458 930130 930135) (-564 "INT.spad" 919811 919819 920304 920445) (-563 "INTHERTR.spad" 919077 919094 919801 919806) (-562 "INTHERAL.spad" 918743 918767 919067 919072) (-561 "INTHEORY.spad" 915156 915164 918733 918738) (-560 "INTG0.spad" 908619 908637 915088 915093) (-559 "INTFTBL.spad" 902648 902656 908609 908614) (-558 "INTFACT.spad" 901707 901717 902638 902643) (-557 "INTEF.spad" 900022 900038 901697 901702) (-556 "INTDOM.spad" 898637 898645 899948 900017) (-555 "INTDOM.spad" 897314 897324 898627 898632) (-554 "INTCAT.spad" 895567 895577 897228 897309) (-553 "INTBIT.spad" 895070 895078 895557 895562) (-552 "INTALG.spad" 894252 894279 895060 895065) (-551 "INTAF.spad" 893744 893760 894242 894247) (-550 "INTABL.spad" 892262 892293 892425 892452) (-549 "INT8.spad" 892142 892150 892252 892257) (-548 "INT64.spad" 892021 892029 892132 892137) (-547 "INT32.spad" 891900 891908 892011 892016) (-546 "INT16.spad" 891779 891787 891890 891895) (-545 "INS.spad" 889246 889254 891681 891774) (-544 "INS.spad" 886799 886809 889236 889241) (-543 "INPSIGN.spad" 886233 886246 886789 886794) (-542 "INPRODPF.spad" 885299 885318 886223 886228) (-541 "INPRODFF.spad" 884357 884381 885289 885294) (-540 "INNMFACT.spad" 883328 883345 884347 884352) (-539 "INMODGCD.spad" 882812 882842 883318 883323) (-538 "INFSP.spad" 881097 881119 882802 882807) (-537 "INFPROD0.spad" 880147 880166 881087 881092) (-536 "INFORM.spad" 877308 877316 880137 880142) (-535 "INFORM1.spad" 876933 876943 877298 877303) (-534 "INFINITY.spad" 876485 876493 876923 876928) (-533 "INETCLTS.spad" 876462 876470 876475 876480) (-532 "INEP.spad" 874994 875016 876452 876457) (-531 "INDE.spad" 874723 874740 874984 874989) (-530 "INCRMAPS.spad" 874144 874154 874713 874718) (-529 "INBFILE.spad" 873216 873224 874134 874139) (-528 "INBFF.spad" 868986 868997 873206 873211) (-527 "INBCON.spad" 867274 867282 868976 868981) (-526 "INBCON.spad" 865560 865570 867264 867269) (-525 "INAST.spad" 865221 865229 865550 865555) (-524 "IMPTAST.spad" 864929 864937 865211 865216) (-523 "IMATRIX.spad" 863874 863900 864386 864413) (-522 "IMATQF.spad" 862968 863012 863830 863835) (-521 "IMATLIN.spad" 861573 861597 862924 862929) (-520 "ILIST.spad" 860229 860244 860756 860783) (-519 "IIARRAY2.spad" 859617 859655 859836 859863) (-518 "IFF.spad" 859027 859043 859298 859391) (-517 "IFAST.spad" 858641 858649 859017 859022) (-516 "IFARRAY.spad" 856128 856143 857824 857851) (-515 "IFAMON.spad" 855990 856007 856084 856089) (-514 "IEVALAB.spad" 855379 855391 855980 855985) (-513 "IEVALAB.spad" 854766 854780 855369 855374) (-512 "IDPO.spad" 854564 854576 854756 854761) (-511 "IDPOAMS.spad" 854320 854332 854554 854559) (-510 "IDPOAM.spad" 854040 854052 854310 854315) (-509 "IDPC.spad" 852974 852986 854030 854035) (-508 "IDPAM.spad" 852719 852731 852964 852969) (-507 "IDPAG.spad" 852466 852478 852709 852714) (-506 "IDENT.spad" 852116 852124 852456 852461) (-505 "IDECOMP.spad" 849353 849371 852106 852111) (-504 "IDEAL.spad" 844276 844315 849288 849293) (-503 "ICDEN.spad" 843427 843443 844266 844271) (-502 "ICARD.spad" 842616 842624 843417 843422) (-501 "IBPTOOLS.spad" 841209 841226 842606 842611) (-500 "IBITS.spad" 840408 840421 840845 840872) (-499 "IBATOOL.spad" 837283 837302 840398 840403) (-498 "IBACHIN.spad" 835770 835785 837273 837278) (-497 "IARRAY2.spad" 834758 834784 835377 835404) (-496 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197548 197756 197761) (-169 "COMPLEX.spad" 191557 191567 191801 192062) (-168 "COMPLEX2.spad" 191270 191282 191547 191552) (-167 "COMPFACT.spad" 190872 190886 191260 191265) (-166 "COMPCAT.spad" 188940 188950 190606 190867) (-165 "COMPCAT.spad" 186701 186713 188369 188374) (-164 "COMMUPC.spad" 186447 186465 186691 186696) (-163 "COMMONOP.spad" 185980 185988 186437 186442) (-162 "COMM.spad" 185789 185797 185970 185975) (-161 "COMMAAST.spad" 185552 185560 185779 185784) (-160 "COMBOPC.spad" 184457 184465 185542 185547) (-159 "COMBINAT.spad" 183202 183212 184447 184452) (-158 "COMBF.spad" 180570 180586 183192 183197) (-157 "COLOR.spad" 179407 179415 180560 180565) (-156 "COLONAST.spad" 179073 179081 179397 179402) (-155 "CMPLXRT.spad" 178782 178799 179063 179068) (-154 "CLLCTAST.spad" 178444 178452 178772 178777) (-153 "CLIP.spad" 174536 174544 178434 178439) (-152 "CLIF.spad" 173175 173191 174492 174531) (-151 "CLAGG.spad" 169660 169670 173165 173170) (-150 "CLAGG.spad" 166016 166028 169523 169528) (-149 "CINTSLPE.spad" 165341 165354 166006 166011) (-148 "CHVAR.spad" 163419 163441 165331 165336) (-147 "CHARZ.spad" 163334 163342 163399 163414) (-146 "CHARPOL.spad" 162842 162852 163324 163329) (-145 "CHARNZ.spad" 162595 162603 162822 162837) (-144 "CHAR.spad" 160463 160471 162585 162590) (-143 "CFCAT.spad" 159779 159787 160453 160458) (-142 "CDEN.spad" 158937 158951 159769 159774) (-141 "CCLASS.spad" 157086 157094 158348 158387) (-140 "CATEGORY.spad" 156176 156184 157076 157081) (-139 "CATCTOR.spad" 156067 156075 156166 156171) (-138 "CATAST.spad" 155685 155693 156057 156062) (-137 "CASEAST.spad" 155399 155407 155675 155680) (-136 "CARTEN.spad" 150502 150526 155389 155394) (-135 "CARTEN2.spad" 149888 149915 150492 150497) (-134 "CARD.spad" 147177 147185 149862 149883) (-133 "CAPSLAST.spad" 146951 146959 147167 147172) (-132 "CACHSET.spad" 146573 146581 146941 146946) (-131 "CABMON.spad" 146126 146134 146563 146568) (-130 "BYTEORD.spad" 145801 145809 146116 146121) (-129 "BYTE.spad" 145226 145234 145791 145796) (-128 "BYTEBUF.spad" 143083 143091 144395 144422) (-127 "BTREE.spad" 142152 142162 142690 142717) (-126 "BTOURN.spad" 141155 141165 141759 141786) (-125 "BTCAT.spad" 140543 140553 141123 141150) (-124 "BTCAT.spad" 139951 139963 140533 140538) (-123 "BTAGG.spad" 139073 139081 139919 139946) (-122 "BTAGG.spad" 138215 138225 139063 139068) (-121 "BSTREE.spad" 136950 136960 137822 137849) (-120 "BRILL.spad" 135145 135156 136940 136945) (-119 "BRAGG.spad" 134069 134079 135135 135140) (-118 "BRAGG.spad" 132957 132969 134025 134030) (-117 "BPADICRT.spad" 130938 130950 131193 131286) (-116 "BPADIC.spad" 130602 130614 130864 130933) (-115 "BOUNDZRO.spad" 130258 130275 130592 130597) (-114 "BOP.spad" 124996 125004 130248 130253) (-113 "BOP1.spad" 122382 122392 124952 124957) (-112 "BOOLEAN.spad" 121706 121714 122372 122377) (-111 "BMODULE.spad" 121418 121430 121674 121701) (-110 "BITS.spad" 120837 120845 121054 121081) (-109 "BINDING.spad" 120256 120264 120827 120832) (-108 "BINARY.spad" 118367 118375 118723 118816) (-107 "BGAGG.spad" 117564 117574 118347 118362) (-106 "BGAGG.spad" 116769 116781 117554 117559) (-105 "BFUNCT.spad" 116333 116341 116749 116764) (-104 "BEZOUT.spad" 115467 115494 116283 116288) (-103 "BBTREE.spad" 112286 112296 115074 115101) (-102 "BASTYPE.spad" 111958 111966 112276 112281) (-101 "BASTYPE.spad" 111628 111638 111948 111953) (-100 "BALFACT.spad" 111067 111080 111618 111623) (-99 "AUTOMOR.spad" 110514 110523 111047 111062) (-98 "ATTREG.spad" 107233 107240 110266 110509) (-97 "ATTRBUT.spad" 103256 103263 107213 107228) (-96 "ATTRAST.spad" 102973 102980 103246 103251) (-95 "ATRIG.spad" 102443 102450 102963 102968) (-94 "ATRIG.spad" 101911 101920 102433 102438) (-93 "ASTCAT.spad" 101815 101822 101901 101906) (-92 "ASTCAT.spad" 101717 101726 101805 101810) (-91 "ASTACK.spad" 101050 101059 101324 101351) (-90 "ASSOCEQ.spad" 99850 99861 101006 101011) (-89 "ASP9.spad" 98931 98944 99840 99845) (-88 "ASP8.spad" 97974 97987 98921 98926) (-87 "ASP80.spad" 97296 97309 97964 97969) (-86 "ASP7.spad" 96456 96469 97286 97291) (-85 "ASP78.spad" 95907 95920 96446 96451) (-84 "ASP77.spad" 95276 95289 95897 95902) (-83 "ASP74.spad" 94368 94381 95266 95271) (-82 "ASP73.spad" 93639 93652 94358 94363) (-81 "ASP6.spad" 92506 92519 93629 93634) (-80 "ASP55.spad" 91015 91028 92496 92501) (-79 "ASP50.spad" 88832 88845 91005 91010) (-78 "ASP4.spad" 88127 88140 88822 88827) (-77 "ASP49.spad" 87126 87139 88117 88122) (-76 "ASP42.spad" 85533 85572 87116 87121) (-75 "ASP41.spad" 84112 84151 85523 85528) (-74 "ASP35.spad" 83100 83113 84102 84107) (-73 "ASP34.spad" 82401 82414 83090 83095) (-72 "ASP33.spad" 81961 81974 82391 82396) (-71 "ASP31.spad" 81101 81114 81951 81956) (-70 "ASP30.spad" 79993 80006 81091 81096) (-69 "ASP29.spad" 79459 79472 79983 79988) (-68 "ASP28.spad" 70732 70745 79449 79454) (-67 "ASP27.spad" 69629 69642 70722 70727) (-66 "ASP24.spad" 68716 68729 69619 69624) (-65 "ASP20.spad" 68180 68193 68706 68711) (-64 "ASP1.spad" 67561 67574 68170 68175) (-63 "ASP19.spad" 62247 62260 67551 67556) (-62 "ASP12.spad" 61661 61674 62237 62242) (-61 "ASP10.spad" 60932 60945 61651 61656) (-60 "ARRAY2.spad" 60292 60301 60539 60566) (-59 "ARRAY1.spad" 59127 59136 59475 59502) (-58 "ARRAY12.spad" 57796 57807 59117 59122) (-57 "ARR2CAT.spad" 53458 53479 57764 57791) (-56 "ARR2CAT.spad" 49140 49163 53448 53453) (-55 "ARITY.spad" 48512 48519 49130 49135) (-54 "APPRULE.spad" 47756 47778 48502 48507) (-53 "APPLYORE.spad" 47371 47384 47746 47751) (-52 "ANY.spad" 45713 45720 47361 47366) (-51 "ANY1.spad" 44784 44793 45703 45708) (-50 "ANTISYM.spad" 43223 43239 44764 44779) (-49 "ANON.spad" 42916 42923 43213 43218) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2283421 2283426 2283431 2283436) (-2 NIL 2283401 2283406 2283411 2283416) (-1 NIL 2283381 2283386 2283391 2283396) (0 NIL 2283361 2283366 2283371 2283376) (-1287 "ZMOD.spad" 2283170 2283183 2283299 2283356) (-1286 "ZLINDEP.spad" 2282214 2282225 2283160 2283165) (-1285 "ZDSOLVE.spad" 2272063 2272085 2282204 2282209) (-1284 "YSTREAM.spad" 2271556 2271567 2272053 2272058) (-1283 "XRPOLY.spad" 2270776 2270796 2271412 2271481) (-1282 "XPR.spad" 2268567 2268580 2270494 2270593) (-1281 "XPOLY.spad" 2268122 2268133 2268423 2268492) (-1280 "XPOLYC.spad" 2267439 2267455 2268048 2268117) (-1279 "XPBWPOLY.spad" 2265876 2265896 2267219 2267288) (-1278 "XF.spad" 2264337 2264352 2265778 2265871) (-1277 "XF.spad" 2262778 2262795 2264221 2264226) (-1276 "XFALG.spad" 2259802 2259818 2262704 2262773) (-1275 "XEXPPKG.spad" 2259053 2259079 2259792 2259797) (-1274 "XDPOLY.spad" 2258667 2258683 2258909 2258978) (-1273 "XALG.spad" 2258327 2258338 2258623 2258662) (-1272 "WUTSET.spad" 2254166 2254183 2257973 2258000) (-1271 "WP.spad" 2253365 2253409 2254024 2254091) (-1270 "WHILEAST.spad" 2253163 2253172 2253355 2253360) (-1269 "WHEREAST.spad" 2252834 2252843 2253153 2253158) (-1268 "WFFINTBS.spad" 2250397 2250419 2252824 2252829) (-1267 "WEIER.spad" 2248611 2248622 2250387 2250392) (-1266 "VSPACE.spad" 2248284 2248295 2248579 2248606) (-1265 "VSPACE.spad" 2247977 2247990 2248274 2248279) (-1264 "VOID.spad" 2247654 2247663 2247967 2247972) (-1263 "VIEW.spad" 2245276 2245285 2247644 2247649) (-1262 "VIEWDEF.spad" 2240473 2240482 2245266 2245271) (-1261 "VIEW3D.spad" 2224308 2224317 2240463 2240468) (-1260 "VIEW2D.spad" 2212045 2212054 2224298 2224303) (-1259 "VECTOR.spad" 2210720 2210731 2210971 2210998) (-1258 "VECTOR2.spad" 2209347 2209360 2210710 2210715) (-1257 "VECTCAT.spad" 2207247 2207258 2209315 2209342) (-1256 "VECTCAT.spad" 2204955 2204968 2207025 2207030) (-1255 "VARIABLE.spad" 2204735 2204750 2204945 2204950) (-1254 "UTYPE.spad" 2204379 2204388 2204725 2204730) (-1253 "UTSODETL.spad" 2203672 2203696 2204335 2204340) (-1252 "UTSODE.spad" 2201860 2201880 2203662 2203667) (-1251 "UTS.spad" 2196649 2196677 2200327 2200424) (-1250 "UTSCAT.spad" 2194100 2194116 2196547 2196644) (-1249 "UTSCAT.spad" 2191195 2191213 2193644 2193649) (-1248 "UTS2.spad" 2190788 2190823 2191185 2191190) (-1247 "URAGG.spad" 2185420 2185431 2190778 2190783) (-1246 "URAGG.spad" 2180016 2180029 2185376 2185381) (-1245 "UPXSSING.spad" 2177659 2177685 2179097 2179230) (-1244 "UPXS.spad" 2174807 2174835 2175791 2175940) (-1243 "UPXSCONS.spad" 2172564 2172584 2172939 2173088) (-1242 "UPXSCCA.spad" 2171129 2171149 2172410 2172559) (-1241 "UPXSCCA.spad" 2169836 2169858 2171119 2171124) (-1240 "UPXSCAT.spad" 2168417 2168433 2169682 2169831) (-1239 "UPXS2.spad" 2167958 2168011 2168407 2168412) (-1238 "UPSQFREE.spad" 2166370 2166384 2167948 2167953) (-1237 "UPSCAT.spad" 2163963 2163987 2166268 2166365) (-1236 "UPSCAT.spad" 2161262 2161288 2163569 2163574) (-1235 "UPOLYC.spad" 2156240 2156251 2161104 2161257) (-1234 "UPOLYC.spad" 2151110 2151123 2155976 2155981) (-1233 "UPOLYC2.spad" 2150579 2150598 2151100 2151105) (-1232 "UP.spad" 2147736 2147751 2148129 2148282) (-1231 "UPMP.spad" 2146626 2146639 2147726 2147731) (-1230 "UPDIVP.spad" 2146189 2146203 2146616 2146621) (-1229 "UPDECOMP.spad" 2144426 2144440 2146179 2146184) (-1228 "UPCDEN.spad" 2143633 2143649 2144416 2144421) (-1227 "UP2.spad" 2142995 2143016 2143623 2143628) (-1226 "UNISEG.spad" 2142348 2142359 2142914 2142919) (-1225 "UNISEG2.spad" 2141841 2141854 2142304 2142309) (-1224 "UNIFACT.spad" 2140942 2140954 2141831 2141836) (-1223 "ULS.spad" 2131494 2131522 2132587 2133016) (-1222 "ULSCONS.spad" 2123888 2123908 2124260 2124409) (-1221 "ULSCCAT.spad" 2121617 2121637 2123734 2123883) (-1220 "ULSCCAT.spad" 2119454 2119476 2121573 2121578) (-1219 "ULSCAT.spad" 2117670 2117686 2119300 2119449) (-1218 "ULS2.spad" 2117182 2117235 2117660 2117665) (-1217 "UINT8.spad" 2117059 2117068 2117172 2117177) (-1216 "UINT64.spad" 2116935 2116944 2117049 2117054) (-1215 "UINT32.spad" 2116811 2116820 2116925 2116930) (-1214 "UINT16.spad" 2116687 2116696 2116801 2116806) (-1213 "UFD.spad" 2115752 2115761 2116613 2116682) (-1212 "UFD.spad" 2114879 2114890 2115742 2115747) (-1211 "UDVO.spad" 2113726 2113735 2114869 2114874) (-1210 "UDPO.spad" 2111153 2111164 2113682 2113687) (-1209 "TYPE.spad" 2111085 2111094 2111143 2111148) (-1208 "TYPEAST.spad" 2111004 2111013 2111075 2111080) (-1207 "TWOFACT.spad" 2109654 2109669 2110994 2110999) (-1206 "TUPLE.spad" 2109138 2109149 2109553 2109558) (-1205 "TUBETOOL.spad" 2105975 2105984 2109128 2109133) (-1204 "TUBE.spad" 2104616 2104633 2105965 2105970) (-1203 "TS.spad" 2103205 2103221 2104181 2104278) (-1202 "TSETCAT.spad" 2090332 2090349 2103173 2103200) (-1201 "TSETCAT.spad" 2077445 2077464 2090288 2090293) (-1200 "TRMANIP.spad" 2071811 2071828 2077151 2077156) (-1199 "TRIMAT.spad" 2070770 2070795 2071801 2071806) (-1198 "TRIGMNIP.spad" 2069287 2069304 2070760 2070765) (-1197 "TRIGCAT.spad" 2068799 2068808 2069277 2069282) (-1196 "TRIGCAT.spad" 2068309 2068320 2068789 2068794) (-1195 "TREE.spad" 2066880 2066891 2067916 2067943) (-1194 "TRANFUN.spad" 2066711 2066720 2066870 2066875) (-1193 "TRANFUN.spad" 2066540 2066551 2066701 2066706) (-1192 "TOPSP.spad" 2066214 2066223 2066530 2066535) (-1191 "TOOLSIGN.spad" 2065877 2065888 2066204 2066209) (-1190 "TEXTFILE.spad" 2064434 2064443 2065867 2065872) (-1189 "TEX.spad" 2061566 2061575 2064424 2064429) (-1188 "TEX1.spad" 2061122 2061133 2061556 2061561) (-1187 "TEMUTL.spad" 2060677 2060686 2061112 2061117) (-1186 "TBCMPPK.spad" 2058770 2058793 2060667 2060672) (-1185 "TBAGG.spad" 2057806 2057829 2058750 2058765) (-1184 "TBAGG.spad" 2056850 2056875 2057796 2057801) (-1183 "TANEXP.spad" 2056226 2056237 2056840 2056845) (-1182 "TABLE.spad" 2054637 2054660 2054907 2054934) (-1181 "TABLEAU.spad" 2054118 2054129 2054627 2054632) (-1180 "TABLBUMP.spad" 2050901 2050912 2054108 2054113) (-1179 "SYSTEM.spad" 2050129 2050138 2050891 2050896) (-1178 "SYSSOLP.spad" 2047602 2047613 2050119 2050124) (-1177 "SYSNNI.spad" 2046782 2046793 2047592 2047597) (-1176 "SYSINT.spad" 2046186 2046197 2046772 2046777) (-1175 "SYNTAX.spad" 2042380 2042389 2046176 2046181) (-1174 "SYMTAB.spad" 2040436 2040445 2042370 2042375) (-1173 "SYMS.spad" 2036421 2036430 2040426 2040431) (-1172 "SYMPOLY.spad" 2035428 2035439 2035510 2035637) (-1171 "SYMFUNC.spad" 2034903 2034914 2035418 2035423) (-1170 "SYMBOL.spad" 2032330 2032339 2034893 2034898) (-1169 "SWITCH.spad" 2029087 2029096 2032320 2032325) (-1168 "SUTS.spad" 2025986 2026014 2027554 2027651) (-1167 "SUPXS.spad" 2023121 2023149 2024118 2024267) (-1166 "SUP.spad" 2019890 2019901 2020671 2020824) (-1165 "SUPFRACF.spad" 2018995 2019013 2019880 2019885) (-1164 "SUP2.spad" 2018385 2018398 2018985 2018990) (-1163 "SUMRF.spad" 2017351 2017362 2018375 2018380) (-1162 "SUMFS.spad" 2016984 2017001 2017341 2017346) (-1161 "SULS.spad" 2007523 2007551 2008629 2009058) (-1160 "SUCHTAST.spad" 2007292 2007301 2007513 2007518) (-1159 "SUCH.spad" 2006972 2006987 2007282 2007287) (-1158 "SUBSPACE.spad" 1998979 1998994 2006962 2006967) (-1157 "SUBRESP.spad" 1998139 1998153 1998935 1998940) (-1156 "STTF.spad" 1994238 1994254 1998129 1998134) (-1155 "STTFNC.spad" 1990706 1990722 1994228 1994233) (-1154 "STTAYLOR.spad" 1983104 1983115 1990587 1990592) (-1153 "STRTBL.spad" 1981609 1981626 1981758 1981785) (-1152 "STRING.spad" 1981018 1981027 1981032 1981059) (-1151 "STRICAT.spad" 1980806 1980815 1980986 1981013) (-1150 "STREAM.spad" 1977664 1977675 1980331 1980346) (-1149 "STREAM3.spad" 1977209 1977224 1977654 1977659) (-1148 "STREAM2.spad" 1976277 1976290 1977199 1977204) (-1147 "STREAM1.spad" 1975981 1975992 1976267 1976272) (-1146 "STINPROD.spad" 1974887 1974903 1975971 1975976) (-1145 "STEP.spad" 1974088 1974097 1974877 1974882) (-1144 "STBL.spad" 1972614 1972642 1972781 1972796) (-1143 "STAGG.spad" 1971689 1971700 1972604 1972609) (-1142 "STAGG.spad" 1970762 1970775 1971679 1971684) (-1141 "STACK.spad" 1970113 1970124 1970369 1970396) (-1140 "SREGSET.spad" 1967817 1967834 1969759 1969786) (-1139 "SRDCMPK.spad" 1966362 1966382 1967807 1967812) (-1138 "SRAGG.spad" 1961459 1961468 1966330 1966357) (-1137 "SRAGG.spad" 1956576 1956587 1961449 1961454) (-1136 "SQMATRIX.spad" 1954192 1954210 1955108 1955195) (-1135 "SPLTREE.spad" 1948744 1948757 1953628 1953655) (-1134 "SPLNODE.spad" 1945332 1945345 1948734 1948739) (-1133 "SPFCAT.spad" 1944109 1944118 1945322 1945327) (-1132 "SPECOUT.spad" 1942659 1942668 1944099 1944104) (-1131 "SPADXPT.spad" 1934798 1934807 1942649 1942654) (-1130 "spad-parser.spad" 1934263 1934272 1934788 1934793) (-1129 "SPADAST.spad" 1933964 1933973 1934253 1934258) (-1128 "SPACEC.spad" 1917977 1917988 1933954 1933959) (-1127 "SPACE3.spad" 1917753 1917764 1917967 1917972) (-1126 "SORTPAK.spad" 1917298 1917311 1917709 1917714) (-1125 "SOLVETRA.spad" 1915055 1915066 1917288 1917293) (-1124 "SOLVESER.spad" 1913575 1913586 1915045 1915050) (-1123 "SOLVERAD.spad" 1909585 1909596 1913565 1913570) (-1122 "SOLVEFOR.spad" 1908005 1908023 1909575 1909580) (-1121 "SNTSCAT.spad" 1907605 1907622 1907973 1908000) (-1120 "SMTS.spad" 1905865 1905891 1907170 1907267) (-1119 "SMP.spad" 1903304 1903324 1903694 1903821) (-1118 "SMITH.spad" 1902147 1902172 1903294 1903299) (-1117 "SMATCAT.spad" 1900257 1900287 1902091 1902142) (-1116 "SMATCAT.spad" 1898299 1898331 1900135 1900140) (-1115 "SKAGG.spad" 1897260 1897271 1898267 1898294) (-1114 "SINT.spad" 1896086 1896095 1897126 1897255) (-1113 "SIMPAN.spad" 1895814 1895823 1896076 1896081) (-1112 "SIG.spad" 1895142 1895151 1895804 1895809) (-1111 "SIGNRF.spad" 1894250 1894261 1895132 1895137) (-1110 "SIGNEF.spad" 1893519 1893536 1894240 1894245) (-1109 "SIGAST.spad" 1892900 1892909 1893509 1893514) (-1108 "SHP.spad" 1890818 1890833 1892856 1892861) (-1107 "SHDP.spad" 1880529 1880556 1881038 1881169) (-1106 "SGROUP.spad" 1880137 1880146 1880519 1880524) (-1105 "SGROUP.spad" 1879743 1879754 1880127 1880132) (-1104 "SGCF.spad" 1872624 1872633 1879733 1879738) (-1103 "SFRTCAT.spad" 1871552 1871569 1872592 1872619) (-1102 "SFRGCD.spad" 1870615 1870635 1871542 1871547) (-1101 "SFQCMPK.spad" 1865252 1865272 1870605 1870610) (-1100 "SFORT.spad" 1864687 1864701 1865242 1865247) (-1099 "SEXOF.spad" 1864530 1864570 1864677 1864682) (-1098 "SEX.spad" 1864422 1864431 1864520 1864525) (-1097 "SEXCAT.spad" 1861973 1862013 1864412 1864417) (-1096 "SET.spad" 1860273 1860284 1861394 1861433) (-1095 "SETMN.spad" 1858707 1858724 1860263 1860268) (-1094 "SETCAT.spad" 1858192 1858201 1858697 1858702) (-1093 "SETCAT.spad" 1857675 1857686 1858182 1858187) (-1092 "SETAGG.spad" 1854196 1854207 1857655 1857670) (-1091 "SETAGG.spad" 1850725 1850738 1854186 1854191) (-1090 "SEQAST.spad" 1850428 1850437 1850715 1850720) (-1089 "SEGXCAT.spad" 1849550 1849563 1850418 1850423) (-1088 "SEG.spad" 1849363 1849374 1849469 1849474) (-1087 "SEGCAT.spad" 1848270 1848281 1849353 1849358) (-1086 "SEGBIND.spad" 1847342 1847353 1848225 1848230) (-1085 "SEGBIND2.spad" 1847038 1847051 1847332 1847337) (-1084 "SEGAST.spad" 1846752 1846761 1847028 1847033) (-1083 "SEG2.spad" 1846177 1846190 1846708 1846713) (-1082 "SDVAR.spad" 1845453 1845464 1846167 1846172) (-1081 "SDPOL.spad" 1842843 1842854 1843134 1843261) (-1080 "SCPKG.spad" 1840922 1840933 1842833 1842838) (-1079 "SCOPE.spad" 1840075 1840084 1840912 1840917) (-1078 "SCACHE.spad" 1838757 1838768 1840065 1840070) (-1077 "SASTCAT.spad" 1838666 1838675 1838747 1838752) (-1076 "SAOS.spad" 1838538 1838547 1838656 1838661) (-1075 "SAERFFC.spad" 1838251 1838271 1838528 1838533) (-1074 "SAE.spad" 1836426 1836442 1837037 1837172) (-1073 "SAEFACT.spad" 1836127 1836147 1836416 1836421) (-1072 "RURPK.spad" 1833768 1833784 1836117 1836122) (-1071 "RULESET.spad" 1833209 1833233 1833758 1833763) (-1070 "RULE.spad" 1831413 1831437 1833199 1833204) (-1069 "RULECOLD.spad" 1831265 1831278 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1247070 1247075) (-769 "NONE1.spad" 1246497 1246507 1246811 1246816) (-768 "NODE1.spad" 1245966 1245982 1246487 1246492) (-767 "NNI.spad" 1244853 1244861 1245940 1245961) (-766 "NLINSOL.spad" 1243475 1243485 1244843 1244848) (-765 "NIPROB.spad" 1242016 1242024 1243465 1243470) (-764 "NFINTBAS.spad" 1239476 1239493 1242006 1242011) (-763 "NETCLT.spad" 1239450 1239461 1239466 1239471) (-762 "NCODIV.spad" 1237648 1237664 1239440 1239445) (-761 "NCNTFRAC.spad" 1237290 1237304 1237638 1237643) (-760 "NCEP.spad" 1235450 1235464 1237280 1237285) (-759 "NASRING.spad" 1235046 1235054 1235440 1235445) (-758 "NASRING.spad" 1234640 1234650 1235036 1235041) (-757 "NARNG.spad" 1233984 1233992 1234630 1234635) (-756 "NARNG.spad" 1233326 1233336 1233974 1233979) (-755 "NAGSP.spad" 1232399 1232407 1233316 1233321) (-754 "NAGS.spad" 1221924 1221932 1232389 1232394) (-753 "NAGF07.spad" 1220317 1220325 1221914 1221919) (-752 "NAGF04.spad" 1214549 1214557 1220307 1220312) (-751 "NAGF02.spad" 1208358 1208366 1214539 1214544) (-750 "NAGF01.spad" 1203961 1203969 1208348 1208353) (-749 "NAGE04.spad" 1197421 1197429 1203951 1203956) (-748 "NAGE02.spad" 1187763 1187771 1197411 1197416) (-747 "NAGE01.spad" 1183647 1183655 1187753 1187758) (-746 "NAGD03.spad" 1181567 1181575 1183637 1183642) (-745 "NAGD02.spad" 1174098 1174106 1181557 1181562) (-744 "NAGD01.spad" 1168211 1168219 1174088 1174093) (-743 "NAGC06.spad" 1163998 1164006 1168201 1168206) (-742 "NAGC05.spad" 1162467 1162475 1163988 1163993) (-741 "NAGC02.spad" 1161722 1161730 1162457 1162462) (-740 "NAALG.spad" 1161257 1161267 1161690 1161717) (-739 "NAALG.spad" 1160812 1160824 1161247 1161252) (-738 "MULTSQFR.spad" 1157770 1157787 1160802 1160807) (-737 "MULTFACT.spad" 1157153 1157170 1157760 1157765) (-736 "MTSCAT.spad" 1155187 1155208 1157051 1157148) (-735 "MTHING.spad" 1154844 1154854 1155177 1155182) (-734 "MSYSCMD.spad" 1154278 1154286 1154834 1154839) (-733 "MSET.spad" 1152220 1152230 1153984 1154023) (-732 "MSETAGG.spad" 1152065 1152075 1152188 1152215) (-731 "MRING.spad" 1149036 1149048 1151773 1151840) (-730 "MRF2.spad" 1148604 1148618 1149026 1149031) (-729 "MRATFAC.spad" 1148150 1148167 1148594 1148599) (-728 "MPRFF.spad" 1146180 1146199 1148140 1148145) (-727 "MPOLY.spad" 1143615 1143630 1143974 1144101) (-726 "MPCPF.spad" 1142879 1142898 1143605 1143610) (-725 "MPC3.spad" 1142694 1142734 1142869 1142874) (-724 "MPC2.spad" 1142336 1142369 1142684 1142689) (-723 "MONOTOOL.spad" 1140671 1140688 1142326 1142331) (-722 "MONOID.spad" 1139990 1139998 1140661 1140666) (-721 "MONOID.spad" 1139307 1139317 1139980 1139985) (-720 "MONOGEN.spad" 1138053 1138066 1139167 1139302) (-719 "MONOGEN.spad" 1136821 1136836 1137937 1137942) (-718 "MONADWU.spad" 1134835 1134843 1136811 1136816) (-717 "MONADWU.spad" 1132847 1132857 1134825 1134830) (-716 "MONAD.spad" 1131991 1131999 1132837 1132842) (-715 "MONAD.spad" 1131133 1131143 1131981 1131986) (-714 "MOEBIUS.spad" 1129819 1129833 1131113 1131128) (-713 "MODULE.spad" 1129689 1129699 1129787 1129814) (-712 "MODULE.spad" 1129579 1129591 1129679 1129684) (-711 "MODRING.spad" 1128910 1128949 1129559 1129574) (-710 "MODOP.spad" 1127569 1127581 1128732 1128799) (-709 "MODMONOM.spad" 1127298 1127316 1127559 1127564) (-708 "MODMON.spad" 1124057 1124073 1124776 1124929) (-707 "MODFIELD.spad" 1123415 1123454 1123959 1124052) (-706 "MMLFORM.spad" 1122275 1122283 1123405 1123410) (-705 "MMAP.spad" 1122015 1122049 1122265 1122270) (-704 "MLO.spad" 1120442 1120452 1121971 1122010) (-703 "MLIFT.spad" 1119014 1119031 1120432 1120437) (-702 "MKUCFUNC.spad" 1118547 1118565 1119004 1119009) (-701 "MKRECORD.spad" 1118149 1118162 1118537 1118542) (-700 "MKFUNC.spad" 1117530 1117540 1118139 1118144) (-699 "MKFLCFN.spad" 1116486 1116496 1117520 1117525) (-698 "MKBCFUNC.spad" 1115971 1115989 1116476 1116481) (-697 "MINT.spad" 1115410 1115418 1115873 1115966) (-696 "MHROWRED.spad" 1113911 1113921 1115400 1115405) (-695 "MFLOAT.spad" 1112427 1112435 1113801 1113906) (-694 "MFINFACT.spad" 1111827 1111849 1112417 1112422) (-693 "MESH.spad" 1109559 1109567 1111817 1111822) (-692 "MDDFACT.spad" 1107752 1107762 1109549 1109554) (-691 "MDAGG.spad" 1107039 1107049 1107732 1107747) (-690 "MCMPLX.spad" 1103013 1103021 1103627 1103828) (-689 "MCDEN.spad" 1102221 1102233 1103003 1103008) (-688 "MCALCFN.spad" 1099323 1099349 1102211 1102216) (-687 "MAYBE.spad" 1098607 1098618 1099313 1099318) (-686 "MATSTOR.spad" 1095883 1095893 1098597 1098602) (-685 "MATRIX.spad" 1094587 1094597 1095071 1095098) (-684 "MATLIN.spad" 1091913 1091937 1094471 1094476) (-683 "MATCAT.spad" 1083498 1083520 1091881 1091908) (-682 "MATCAT.spad" 1074955 1074979 1083340 1083345) (-681 "MATCAT2.spad" 1074223 1074271 1074945 1074950) (-680 "MAPPKG3.spad" 1073122 1073136 1074213 1074218) (-679 "MAPPKG2.spad" 1072456 1072468 1073112 1073117) (-678 "MAPPKG1.spad" 1071274 1071284 1072446 1072451) (-677 "MAPPAST.spad" 1070587 1070595 1071264 1071269) (-676 "MAPHACK3.spad" 1070395 1070409 1070577 1070582) (-675 "MAPHACK2.spad" 1070160 1070172 1070385 1070390) (-674 "MAPHACK1.spad" 1069790 1069800 1070150 1070155) (-673 "MAGMA.spad" 1067580 1067597 1069780 1069785) (-672 "MACROAST.spad" 1067159 1067167 1067570 1067575) (-671 "M3D.spad" 1064855 1064865 1066537 1066542) (-670 "LZSTAGG.spad" 1062083 1062093 1064845 1064850) (-669 "LZSTAGG.spad" 1059309 1059321 1062073 1062078) (-668 "LWORD.spad" 1056014 1056031 1059299 1059304) (-667 "LSTAST.spad" 1055798 1055806 1056004 1056009) (-666 "LSQM.spad" 1054024 1054038 1054422 1054473) (-665 "LSPP.spad" 1053557 1053574 1054014 1054019) (-664 "LSMP.spad" 1052397 1052425 1053547 1053552) (-663 "LSMP1.spad" 1050201 1050215 1052387 1052392) (-662 "LSAGG.spad" 1049870 1049880 1050169 1050196) (-661 "LSAGG.spad" 1049559 1049571 1049860 1049865) (-660 "LPOLY.spad" 1048513 1048532 1049415 1049484) (-659 "LPEFRAC.spad" 1047770 1047780 1048503 1048508) (-658 "LO.spad" 1047171 1047185 1047704 1047731) (-657 "LOGIC.spad" 1046773 1046781 1047161 1047166) (-656 "LOGIC.spad" 1046373 1046383 1046763 1046768) (-655 "LODOOPS.spad" 1045291 1045303 1046363 1046368) (-654 "LODO.spad" 1044675 1044691 1044971 1045010) (-653 "LODOF.spad" 1043719 1043736 1044632 1044637) (-652 "LODOCAT.spad" 1042377 1042387 1043675 1043714) (-651 "LODOCAT.spad" 1041033 1041045 1042333 1042338) (-650 "LODO2.spad" 1040306 1040318 1040713 1040752) (-649 "LODO1.spad" 1039706 1039716 1039986 1040025) (-648 "LODEEF.spad" 1038478 1038496 1039696 1039701) (-647 "LNAGG.spad" 1034280 1034290 1038468 1038473) (-646 "LNAGG.spad" 1030046 1030058 1034236 1034241) (-645 "LMOPS.spad" 1026782 1026799 1030036 1030041) (-644 "LMODULE.spad" 1026424 1026434 1026772 1026777) (-643 "LMDICT.spad" 1025707 1025717 1025975 1026002) (-642 "LITERAL.spad" 1025613 1025624 1025697 1025702) (-641 "LIST.spad" 1023331 1023341 1024760 1024787) (-640 "LIST3.spad" 1022622 1022636 1023321 1023326) (-639 "LIST2.spad" 1021262 1021274 1022612 1022617) (-638 "LIST2MAP.spad" 1018139 1018151 1021252 1021257) (-637 "LINEXP.spad" 1017571 1017581 1018119 1018134) (-636 "LINDEP.spad" 1016348 1016360 1017483 1017488) (-635 "LIMITRF.spad" 1014262 1014272 1016338 1016343) (-634 "LIMITPS.spad" 1013145 1013158 1014252 1014257) (-633 "LIE.spad" 1011159 1011171 1012435 1012580) (-632 "LIECAT.spad" 1010635 1010645 1011085 1011154) (-631 "LIECAT.spad" 1010139 1010151 1010591 1010596) (-630 "LIB.spad" 1008187 1008195 1008798 1008813) (-629 "LGROBP.spad" 1005540 1005559 1008177 1008182) (-628 "LF.spad" 1004459 1004475 1005530 1005535) (-627 "LFCAT.spad" 1003478 1003486 1004449 1004454) (-626 "LEXTRIPK.spad" 998981 998996 1003468 1003473) (-625 "LEXP.spad" 996984 997011 998961 998976) (-624 "LETAST.spad" 996683 996691 996974 996979) (-623 "LEADCDET.spad" 995067 995084 996673 996678) (-622 "LAZM3PK.spad" 993771 993793 995057 995062) (-621 "LAUPOL.spad" 992460 992473 993364 993433) (-620 "LAPLACE.spad" 992033 992049 992450 992455) (-619 "LA.spad" 991473 991487 991955 991994) (-618 "LALG.spad" 991249 991259 991453 991468) (-617 "LALG.spad" 991033 991045 991239 991244) (-616 "KVTFROM.spad" 990768 990778 991023 991028) (-615 "KTVLOGIC.spad" 990191 990199 990758 990763) (-614 "KRCFROM.spad" 989929 989939 990181 990186) (-613 "KOVACIC.spad" 988642 988659 989919 989924) (-612 "KONVERT.spad" 988364 988374 988632 988637) (-611 "KOERCE.spad" 988101 988111 988354 988359) (-610 "KERNEL.spad" 986636 986646 987885 987890) (-609 "KERNEL2.spad" 986339 986351 986626 986631) (-608 "KDAGG.spad" 985442 985464 986319 986334) (-607 "KDAGG.spad" 984553 984577 985432 985437) (-606 "KAFILE.spad" 983516 983532 983751 983778) (-605 "JORDAN.spad" 981343 981355 982806 982951) (-604 "JOINAST.spad" 981037 981045 981333 981338) (-603 "JAVACODE.spad" 980903 980911 981027 981032) (-602 "IXAGG.spad" 979026 979050 980893 980898) (-601 "IXAGG.spad" 977004 977030 978873 978878) (-600 "IVECTOR.spad" 975775 975790 975930 975957) (-599 "ITUPLE.spad" 974920 974930 975765 975770) (-598 "ITRIGMNP.spad" 973731 973750 974910 974915) (-597 "ITFUN3.spad" 973225 973239 973721 973726) (-596 "ITFUN2.spad" 972955 972967 973215 973220) (-595 "ITAYLOR.spad" 970747 970762 972791 972916) (-594 "ISUPS.spad" 963158 963173 969721 969818) (-593 "ISUMP.spad" 962655 962671 963148 963153) (-592 "ISTRING.spad" 961658 961671 961824 961851) (-591 "ISAST.spad" 961377 961385 961648 961653) (-590 "IRURPK.spad" 960090 960109 961367 961372) (-589 "IRSN.spad" 958050 958058 960080 960085) (-588 "IRRF2F.spad" 956525 956535 958006 958011) (-587 "IRREDFFX.spad" 956126 956137 956515 956520) (-586 "IROOT.spad" 954457 954467 956116 956121) (-585 "IR.spad" 952246 952260 954312 954339) (-584 "IR2.spad" 951266 951282 952236 952241) (-583 "IR2F.spad" 950466 950482 951256 951261) (-582 "IPRNTPK.spad" 950226 950234 950456 950461) (-581 "IPF.spad" 949791 949803 950031 950124) (-580 "IPADIC.spad" 949552 949578 949717 949786) (-579 "IP4ADDR.spad" 949109 949117 949542 949547) (-578 "IOMODE.spad" 948730 948738 949099 949104) (-577 "IOBFILE.spad" 948091 948099 948720 948725) (-576 "IOBCON.spad" 947956 947964 948081 948086) (-575 "INVLAPLA.spad" 947601 947617 947946 947951) (-574 "INTTR.spad" 940847 940864 947591 947596) (-573 "INTTOOLS.spad" 938558 938574 940421 940426) (-572 "INTSLPE.spad" 937864 937872 938548 938553) (-571 "INTRVL.spad" 937430 937440 937778 937859) (-570 "INTRF.spad" 935794 935808 937420 937425) (-569 "INTRET.spad" 935226 935236 935784 935789) (-568 "INTRAT.spad" 933901 933918 935216 935221) (-567 "INTPM.spad" 932264 932280 933544 933549) (-566 "INTPAF.spad" 930032 930050 932196 932201) (-565 "INTPACK.spad" 920342 920350 930022 930027) (-564 "INT.spad" 919703 919711 920196 920337) (-563 "INTHERTR.spad" 918969 918986 919693 919698) (-562 "INTHERAL.spad" 918635 918659 918959 918964) (-561 "INTHEORY.spad" 915048 915056 918625 918630) (-560 "INTG0.spad" 908511 908529 914980 914985) (-559 "INTFTBL.spad" 902540 902548 908501 908506) (-558 "INTFACT.spad" 901599 901609 902530 902535) (-557 "INTEF.spad" 899914 899930 901589 901594) (-556 "INTDOM.spad" 898529 898537 899840 899909) (-555 "INTDOM.spad" 897206 897216 898519 898524) (-554 "INTCAT.spad" 895459 895469 897120 897201) (-553 "INTBIT.spad" 894962 894970 895449 895454) (-552 "INTALG.spad" 894144 894171 894952 894957) (-551 "INTAF.spad" 893636 893652 894134 894139) (-550 "INTABL.spad" 892154 892185 892317 892344) (-549 "INT8.spad" 892034 892042 892144 892149) (-548 "INT64.spad" 891913 891921 892024 892029) (-547 "INT32.spad" 891792 891800 891903 891908) (-546 "INT16.spad" 891671 891679 891782 891787) (-545 "INS.spad" 889138 889146 891573 891666) (-544 "INS.spad" 886691 886701 889128 889133) (-543 "INPSIGN.spad" 886125 886138 886681 886686) (-542 "INPRODPF.spad" 885191 885210 886115 886120) (-541 "INPRODFF.spad" 884249 884273 885181 885186) (-540 "INNMFACT.spad" 883220 883237 884239 884244) (-539 "INMODGCD.spad" 882704 882734 883210 883215) (-538 "INFSP.spad" 880989 881011 882694 882699) (-537 "INFPROD0.spad" 880039 880058 880979 880984) (-536 "INFORM.spad" 877200 877208 880029 880034) (-535 "INFORM1.spad" 876825 876835 877190 877195) (-534 "INFINITY.spad" 876377 876385 876815 876820) (-533 "INETCLTS.spad" 876354 876362 876367 876372) (-532 "INEP.spad" 874886 874908 876344 876349) (-531 "INDE.spad" 874615 874632 874876 874881) (-530 "INCRMAPS.spad" 874036 874046 874605 874610) (-529 "INBFILE.spad" 873108 873116 874026 874031) (-528 "INBFF.spad" 868878 868889 873098 873103) (-527 "INBCON.spad" 867166 867174 868868 868873) (-526 "INBCON.spad" 865452 865462 867156 867161) (-525 "INAST.spad" 865113 865121 865442 865447) (-524 "IMPTAST.spad" 864821 864829 865103 865108) (-523 "IMATRIX.spad" 863766 863792 864278 864305) (-522 "IMATQF.spad" 862860 862904 863722 863727) (-521 "IMATLIN.spad" 861465 861489 862816 862821) (-520 "ILIST.spad" 860121 860136 860648 860675) (-519 "IIARRAY2.spad" 859509 859547 859728 859755) (-518 "IFF.spad" 858919 858935 859190 859283) (-517 "IFAST.spad" 858533 858541 858909 858914) (-516 "IFARRAY.spad" 856020 856035 857716 857743) (-515 "IFAMON.spad" 855882 855899 855976 855981) (-514 "IEVALAB.spad" 855271 855283 855872 855877) (-513 "IEVALAB.spad" 854658 854672 855261 855266) (-512 "IDPO.spad" 854456 854468 854648 854653) (-511 "IDPOAMS.spad" 854212 854224 854446 854451) (-510 "IDPOAM.spad" 853932 853944 854202 854207) (-509 "IDPC.spad" 852866 852878 853922 853927) (-508 "IDPAM.spad" 852611 852623 852856 852861) (-507 "IDPAG.spad" 852358 852370 852601 852606) (-506 "IDENT.spad" 852008 852016 852348 852353) (-505 "IDECOMP.spad" 849245 849263 851998 852003) (-504 "IDEAL.spad" 844168 844207 849180 849185) (-503 "ICDEN.spad" 843319 843335 844158 844163) (-502 "ICARD.spad" 842508 842516 843309 843314) (-501 "IBPTOOLS.spad" 841101 841118 842498 842503) (-500 "IBITS.spad" 840300 840313 840737 840764) (-499 "IBATOOL.spad" 837175 837194 840290 840295) (-498 "IBACHIN.spad" 835662 835677 837165 837170) (-497 "IARRAY2.spad" 834650 834676 835269 835296) (-496 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197440 197648 197653) (-169 "COMPLEX.spad" 191449 191459 191693 191954) (-168 "COMPLEX2.spad" 191162 191174 191439 191444) (-167 "COMPFACT.spad" 190764 190778 191152 191157) (-166 "COMPCAT.spad" 188832 188842 190498 190759) (-165 "COMPCAT.spad" 186593 186605 188261 188266) (-164 "COMMUPC.spad" 186339 186357 186583 186588) (-163 "COMMONOP.spad" 185872 185880 186329 186334) (-162 "COMM.spad" 185681 185689 185862 185867) (-161 "COMMAAST.spad" 185444 185452 185671 185676) (-160 "COMBOPC.spad" 184349 184357 185434 185439) (-159 "COMBINAT.spad" 183094 183104 184339 184344) (-158 "COMBF.spad" 180462 180478 183084 183089) (-157 "COLOR.spad" 179299 179307 180452 180457) (-156 "COLONAST.spad" 178965 178973 179289 179294) (-155 "CMPLXRT.spad" 178674 178691 178955 178960) (-154 "CLLCTAST.spad" 178336 178344 178664 178669) (-153 "CLIP.spad" 174428 174436 178326 178331) (-152 "CLIF.spad" 173067 173083 174384 174423) (-151 "CLAGG.spad" 169552 169562 173057 173062) (-150 "CLAGG.spad" 165908 165920 169415 169420) (-149 "CINTSLPE.spad" 165233 165246 165898 165903) (-148 "CHVAR.spad" 163311 163333 165223 165228) (-147 "CHARZ.spad" 163226 163234 163291 163306) (-146 "CHARPOL.spad" 162734 162744 163216 163221) (-145 "CHARNZ.spad" 162487 162495 162714 162729) (-144 "CHAR.spad" 160355 160363 162477 162482) (-143 "CFCAT.spad" 159671 159679 160345 160350) (-142 "CDEN.spad" 158829 158843 159661 159666) (-141 "CCLASS.spad" 156978 156986 158240 158279) (-140 "CATEGORY.spad" 156068 156076 156968 156973) (-139 "CATCTOR.spad" 155959 155967 156058 156063) (-138 "CATAST.spad" 155577 155585 155949 155954) (-137 "CASEAST.spad" 155291 155299 155567 155572) (-136 "CARTEN.spad" 150394 150418 155281 155286) (-135 "CARTEN2.spad" 149780 149807 150384 150389) (-134 "CARD.spad" 147069 147077 149754 149775) (-133 "CAPSLAST.spad" 146843 146851 147059 147064) (-132 "CACHSET.spad" 146465 146473 146833 146838) (-131 "CABMON.spad" 146018 146026 146455 146460) (-130 "BYTEORD.spad" 145693 145701 146008 146013) (-129 "BYTE.spad" 145118 145126 145683 145688) (-128 "BYTEBUF.spad" 142975 142983 144287 144314) (-127 "BTREE.spad" 142044 142054 142582 142609) (-126 "BTOURN.spad" 141047 141057 141651 141678) (-125 "BTCAT.spad" 140435 140445 141015 141042) (-124 "BTCAT.spad" 139843 139855 140425 140430) (-123 "BTAGG.spad" 138965 138973 139811 139838) (-122 "BTAGG.spad" 138107 138117 138955 138960) (-121 "BSTREE.spad" 136842 136852 137714 137741) (-120 "BRILL.spad" 135037 135048 136832 136837) (-119 "BRAGG.spad" 133961 133971 135027 135032) (-118 "BRAGG.spad" 132849 132861 133917 133922) (-117 "BPADICRT.spad" 130830 130842 131085 131178) (-116 "BPADIC.spad" 130494 130506 130756 130825) (-115 "BOUNDZRO.spad" 130150 130167 130484 130489) (-114 "BOP.spad" 124996 125004 130140 130145) (-113 "BOP1.spad" 122382 122392 124952 124957) (-112 "BOOLEAN.spad" 121706 121714 122372 122377) (-111 "BMODULE.spad" 121418 121430 121674 121701) (-110 "BITS.spad" 120837 120845 121054 121081) (-109 "BINDING.spad" 120256 120264 120827 120832) (-108 "BINARY.spad" 118367 118375 118723 118816) (-107 "BGAGG.spad" 117564 117574 118347 118362) (-106 "BGAGG.spad" 116769 116781 117554 117559) (-105 "BFUNCT.spad" 116333 116341 116749 116764) (-104 "BEZOUT.spad" 115467 115494 116283 116288) (-103 "BBTREE.spad" 112286 112296 115074 115101) (-102 "BASTYPE.spad" 111958 111966 112276 112281) (-101 "BASTYPE.spad" 111628 111638 111948 111953) (-100 "BALFACT.spad" 111067 111080 111618 111623) (-99 "AUTOMOR.spad" 110514 110523 111047 111062) (-98 "ATTREG.spad" 107233 107240 110266 110509) (-97 "ATTRBUT.spad" 103256 103263 107213 107228) (-96 "ATTRAST.spad" 102973 102980 103246 103251) (-95 "ATRIG.spad" 102443 102450 102963 102968) (-94 "ATRIG.spad" 101911 101920 102433 102438) (-93 "ASTCAT.spad" 101815 101822 101901 101906) (-92 "ASTCAT.spad" 101717 101726 101805 101810) (-91 "ASTACK.spad" 101050 101059 101324 101351) (-90 "ASSOCEQ.spad" 99850 99861 101006 101011) (-89 "ASP9.spad" 98931 98944 99840 99845) (-88 "ASP8.spad" 97974 97987 98921 98926) (-87 "ASP80.spad" 97296 97309 97964 97969) (-86 "ASP7.spad" 96456 96469 97286 97291) (-85 "ASP78.spad" 95907 95920 96446 96451) (-84 "ASP77.spad" 95276 95289 95897 95902) (-83 "ASP74.spad" 94368 94381 95266 95271) (-82 "ASP73.spad" 93639 93652 94358 94363) (-81 "ASP6.spad" 92506 92519 93629 93634) (-80 "ASP55.spad" 91015 91028 92496 92501) (-79 "ASP50.spad" 88832 88845 91005 91010) (-78 "ASP4.spad" 88127 88140 88822 88827) (-77 "ASP49.spad" 87126 87139 88117 88122) (-76 "ASP42.spad" 85533 85572 87116 87121) (-75 "ASP41.spad" 84112 84151 85523 85528) (-74 "ASP35.spad" 83100 83113 84102 84107) (-73 "ASP34.spad" 82401 82414 83090 83095) (-72 "ASP33.spad" 81961 81974 82391 82396) (-71 "ASP31.spad" 81101 81114 81951 81956) (-70 "ASP30.spad" 79993 80006 81091 81096) (-69 "ASP29.spad" 79459 79472 79983 79988) (-68 "ASP28.spad" 70732 70745 79449 79454) (-67 "ASP27.spad" 69629 69642 70722 70727) (-66 "ASP24.spad" 68716 68729 69619 69624) (-65 "ASP20.spad" 68180 68193 68706 68711) (-64 "ASP1.spad" 67561 67574 68170 68175) (-63 "ASP19.spad" 62247 62260 67551 67556) (-62 "ASP12.spad" 61661 61674 62237 62242) (-61 "ASP10.spad" 60932 60945 61651 61656) (-60 "ARRAY2.spad" 60292 60301 60539 60566) (-59 "ARRAY1.spad" 59127 59136 59475 59502) (-58 "ARRAY12.spad" 57796 57807 59117 59122) (-57 "ARR2CAT.spad" 53458 53479 57764 57791) (-56 "ARR2CAT.spad" 49140 49163 53448 53453) (-55 "ARITY.spad" 48512 48519 49130 49135) (-54 "APPRULE.spad" 47756 47778 48502 48507) (-53 "APPLYORE.spad" 47371 47384 47746 47751) (-52 "ANY.spad" 45713 45720 47361 47366) (-51 "ANY1.spad" 44784 44793 45703 45708) (-50 "ANTISYM.spad" 43223 43239 44764 44779) (-49 "ANON.spad" 42916 42923 43213 43218) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
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