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authordos-reis <gdr@axiomatics.org>2008-12-27 19:16:40 +0000
committerdos-reis <gdr@axiomatics.org>2008-12-27 19:16:40 +0000
commite51b2aa30afc0e65cca5bfc32d32dd9471fd65ea (patch)
tree4d2fd56347cc09adba11747665d1cddcbf7c8ce7 /src/share/algebra/browse.daase
parentfdc64c2abcdf53d9afee4541503d1d17763ee92c (diff)
downloadopen-axiom-e51b2aa30afc0e65cca5bfc32d32dd9471fd65ea.tar.gz
* algebra/catdef.spad.pamphlet (OrderedFinite): Export `min' and
`max' values. * algebra/si.spad.pamphlet (SingleInteger): Now satisfies OrderedFinite. Tidy.
Diffstat (limited to 'src/share/algebra/browse.daase')
-rw-r--r--src/share/algebra/browse.daase48
1 files changed, 24 insertions, 24 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index 6c7b2a3f..3f2a3e54 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
-(2276957 . 3439324113)
+(2276553 . 3439392485)
(-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 -3215 UP UPUP -4362)
+(-40 -3215 UP UPUP -1415)
((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}")))
((-4375 |has| (-406 |#2|) (-362)) (-4380 |has| (-406 |#2|) (-362)) (-4374 |has| (-406 |#2|) (-362)) ((-4384 "*") . T) (-4376 . T) (-4377 . T) (-4379 . T))
((|HasCategory| (-406 |#2|) (QUOTE (-144))) (|HasCategory| (-406 |#2|) (QUOTE (-146))) (|HasCategory| (-406 |#2|) (QUOTE (-348))) (-3998 (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-367))) (-3998 (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (-3998 (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-348))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -631) (QUOTE (-558)))) (-3998 (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-367))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))))
@@ -1080,7 +1080,7 @@ 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
-(-288 S R |Mod| -1966 -1346 |exactQuo|)
+(-288 S R |Mod| -4050 -1949 |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")))
((-4375 . T) ((-4384 "*") . T) (-4376 . T) (-4377 . T) (-4379 . T))
NIL
@@ -1203,7 +1203,7 @@ NIL
(-318 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.")))
(((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -4237) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2670) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))))
(-319 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
@@ -1819,7 +1819,7 @@ NIL
(-472 |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.")))
(((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -4237) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2670) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))))
(-473 |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.")))
((-4383 . T))
@@ -2520,7 +2520,7 @@ 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))))
-(-648 A -2610)
+(-648 A -1975)
((|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}}")))
((-4376 . T) (-4377 . T) (-4379 . T))
((|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-362))))
@@ -2716,7 +2716,7 @@ 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
-(-697 S -1867 I)
+(-697 S -1866 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
@@ -2736,7 +2736,7 @@ 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
-(-702 R |Mod| -1966 -1346 |exactQuo|)
+(-702 R |Mod| -4050 -1949 |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| $) "\\spad{modulus(x)} \\undocumented")))
((-4374 . T) (-4380 . T) (-4375 . T) ((-4384 "*") . T) (-4376 . T) (-4377 . T) (-4379 . T))
NIL
@@ -2752,7 +2752,7 @@ NIL
((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}.")))
((-4377 |has| |#1| (-171)) (-4376 |has| |#1| (-171)) (-4379 . T))
((|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))))
-(-706 R |Mod| -1966 -1346 |exactQuo|)
+(-706 R |Mod| -4050 -1949 |exactQuo|)
((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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| $) "\\spad{modulus(x)} \\undocumented")))
((-4379 . T))
NIL
@@ -3269,7 +3269,7 @@ NIL
((-4379 |has| |#1| (-839)))
((|HasCategory| |#1| (QUOTE (-839))) (-3998 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-839)))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (-3998 (|HasCategory| |#1| (QUOTE (-839))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-543))) (|HasCategory| |#1| (QUOTE (-21))))
(-835)
-((|constructor| (NIL "Ordered finite sets.")))
+((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%.")))
NIL
NIL
(-836 -3084 S)
@@ -3448,7 +3448,7 @@ 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
-(-880 R -1867)
+(-880 R -1866)
((|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
@@ -3636,11 +3636,11 @@ 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 -876) (|devaluate| |#1|))))
-(-927 R -3215 -1867)
+(-927 R -3215 -1866)
((|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
-(-928 -1867)
+(-928 -1866)
((|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
@@ -4357,7 +4357,7 @@ NIL
NIL
NIL
(-1107)
-((|constructor| (NIL "SingleInteger is intended to support machine integer arithmetic.")) (|Or| (($ $ $) "\\spad{Or(n,{}m)} returns the bit-by-bit logical {\\em or} of the single integers \\spad{n} and \\spad{m}.")) (|And| (($ $ $) "\\spad{And(n,{}m)} returns the bit-by-bit logical {\\em and} of the single integers \\spad{n} and \\spad{m}.")) (|Not| (($ $) "\\spad{Not(n)} returns the bit-by-bit logical {\\em not} of the single integer \\spad{n}.")) (|xor| (($ $ $) "\\spad{xor(n,{}m)} returns the bit-by-bit logical {\\em xor} of the single integers \\spad{n} and \\spad{m}.")) (|\\/| (($ $ $) "\\spad{n} \\spad{\\/} \\spad{m} returns the bit-by-bit logical {\\em or} of the single integers \\spad{n} and \\spad{m}.")) (|/\\| (($ $ $) "\\spad{n} \\spad{/\\} \\spad{m} returns the bit-by-bit logical {\\em and} of the single integers \\spad{n} and \\spad{m}.")) (~ (($ $) "\\spad{~ n} returns the bit-by-bit logical {\\em not } of the single integer \\spad{n}.")) (|not| (($ $) "\\spad{not(n)} returns the bit-by-bit logical {\\em not} of the single integer \\spad{n}.")) (|min| (($) "\\spad{min()} returns the smallest single integer.")) (|max| (($) "\\spad{max()} returns the largest single integer.")) (|noetherian| ((|attribute|) "\\spad{noetherian} all ideals are finitely generated (in fact principal).")) (|canonicalsClosed| ((|attribute|) "\\spad{canonicalClosed} means two positives multiply to give positive.")) (|canonical| ((|attribute|) "\\spad{canonical} means that mathematical equality is implied by data structure equality.")))
+((|constructor| (NIL "SingleInteger is intended to support machine integer arithmetic.")) (|Or| (($ $ $) "\\spad{Or(n,{}m)} returns the bit-by-bit logical {\\em or} of the single integers \\spad{n} and \\spad{m}.")) (|And| (($ $ $) "\\spad{And(n,{}m)} returns the bit-by-bit logical {\\em and} of the single integers \\spad{n} and \\spad{m}.")) (|Not| (($ $) "\\spad{Not(n)} returns the bit-by-bit logical {\\em not} of the single integer \\spad{n}.")) (|xor| (($ $ $) "\\spad{xor(n,{}m)} returns the bit-by-bit logical {\\em xor} of the single integers \\spad{n} and \\spad{m}.")) (|not| (($ $) "\\spad{not(n)} returns the bit-by-bit logical {\\em not} of the single integer \\spad{n}.")) (|noetherian| ((|attribute|) "\\spad{noetherian} all ideals are finitely generated (in fact principal).")) (|canonicalsClosed| ((|attribute|) "\\spad{canonicalClosed} means two positives multiply to give positive.")) (|canonical| ((|attribute|) "\\spad{canonical} means that mathematical equality is implied by data structure equality.")))
((-4370 . T) (-4374 . T) (-4369 . T) (-4380 . T) (-4381 . T) (-4375 . T) ((-4384 "*") . T) (-4376 . T) (-4377 . T) (-4379 . T))
NIL
(-1108 S)
@@ -4547,7 +4547,7 @@ NIL
(-1154 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|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.")))
(((-4384 "*") -3998 (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-811))) (|has| |#1| (-171)) (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-899)))) (-4375 -3998 (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-811))) (|has| |#1| (-550)) (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-899)))) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T))
-((-3998 (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-811))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-899))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-1012))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-1138))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -606) (QUOTE (-534)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -606) (LIST (QUOTE -882) (QUOTE (-378))))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -606) (LIST (QUOTE -882) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -285) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -308) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -512) (QUOTE (-1163)) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -631) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -876) (QUOTE (-378)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -876) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -1028) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (QUOTE (-144)))) (-3998 (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (QUOTE (-146)))) (-3998 (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-558)) (|devaluate| |#1|)))))) (-3998 (-12 (|HasCategory| (-1161 |#1| |#2| |#3|) (QUOTE (-232))) (|HasCategory| |#1| (QUOTE (-362)))) 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(-1155 R -3215)
((|constructor| (NIL "computes sums of top-level expressions.")) (|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
@@ -4571,11 +4571,11 @@ NIL
(-1160 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")))
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(-1161 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}.")))
(((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4376 . T) (-4377 . T) (-4379 . T))
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(-1162)
((|constructor| (NIL "This domain builds representations of boolean expressions for use with the \\axiomType{FortranCode} domain.")) (NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(s)} \\undocumented{}")))
NIL
@@ -4767,11 +4767,11 @@ NIL
(-1209 |Coef| UTS)
((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,{}f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")))
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((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} 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{UnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent series in} \\indented{2}{\\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.")))
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(-1211 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
@@ -4851,11 +4851,11 @@ NIL
(-1230 |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)}.")))
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(-1231 |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}.")))
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(-1232 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}.")))
(((-4384 "*") |has| (-1231 |#2| |#3| |#4|) (-171)) (-4375 |has| (-1231 |#2| |#3| |#4|) (-550)) (-4376 . T) (-4377 . T) (-4379 . T))
@@ -4875,7 +4875,7 @@ NIL
(-1236 S |Coef|)
((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-558)))) (|HasCategory| |#2| (QUOTE (-949))) (|HasCategory| |#2| (QUOTE (-1185))) (|HasSignature| |#2| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2656) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1163))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#2| (QUOTE (-362))))
+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#2| (QUOTE (-949))) (|HasCategory| |#2| (QUOTE (-1185))) (|HasSignature| |#2| (LIST (QUOTE -2670) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4237) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1163))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#2| (QUOTE (-362))))
(-1237 |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.")))
(((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4376 . T) (-4377 . T) (-4379 . T))
@@ -4883,7 +4883,7 @@ NIL
(-1238 |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}.")))
(((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4376 . T) (-4377 . T) (-4379 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -4237) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2670) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))))
(-1239 |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
@@ -5044,4 +5044,4 @@ NIL
NIL
NIL
NIL
-((-3 NIL 2276937 2276942 2276947 2276952) (-2 NIL 2276917 2276922 2276927 2276932) (-1 NIL 2276897 2276902 2276907 2276912) (0 NIL 2276877 2276882 2276887 2276892) (-1274 "ZMOD.spad" 2276686 2276699 2276815 2276872) (-1273 "ZLINDEP.spad" 2275730 2275741 2276676 2276681) (-1272 "ZDSOLVE.spad" 2265579 2265601 2275720 2275725) (-1271 "YSTREAM.spad" 2265072 2265083 2265569 2265574) (-1270 "XRPOLY.spad" 2264292 2264312 2264928 2264997) (-1269 "XPR.spad" 2262083 2262096 2264010 2264109) (-1268 "XPOLY.spad" 2261638 2261649 2261939 2262008) (-1267 "XPOLYC.spad" 2260955 2260971 2261564 2261633) (-1266 "XPBWPOLY.spad" 2259392 2259412 2260735 2260804) (-1265 "XF.spad" 2257853 2257868 2259294 2259387) (-1264 "XF.spad" 2256294 2256311 2257737 2257742) (-1263 "XFALG.spad" 2253318 2253334 2256220 2256289) (-1262 "XEXPPKG.spad" 2252569 2252595 2253308 2253313) (-1261 "XDPOLY.spad" 2252183 2252199 2252425 2252494) (-1260 "XALG.spad" 2251843 2251854 2252139 2252178) (-1259 "WUTSET.spad" 2247682 2247699 2251489 2251516) (-1258 "WP.spad" 2246881 2246925 2247540 2247607) (-1257 "WHILEAST.spad" 2246679 2246688 2246871 2246876) (-1256 "WHEREAST.spad" 2246350 2246359 2246669 2246674) (-1255 "WFFINTBS.spad" 2243913 2243935 2246340 2246345) (-1254 "WEIER.spad" 2242127 2242138 2243903 2243908) (-1253 "VSPACE.spad" 2241800 2241811 2242095 2242122) (-1252 "VSPACE.spad" 2241493 2241506 2241790 2241795) (-1251 "VOID.spad" 2241170 2241179 2241483 2241488) (-1250 "VIEW.spad" 2238792 2238801 2241160 2241165) (-1249 "VIEWDEF.spad" 2233989 2233998 2238782 2238787) (-1248 "VIEW3D.spad" 2217824 2217833 2233979 2233984) (-1247 "VIEW2D.spad" 2205561 2205570 2217814 2217819) (-1246 "VECTOR.spad" 2204236 2204247 2204487 2204514) (-1245 "VECTOR2.spad" 2202863 2202876 2204226 2204231) (-1244 "VECTCAT.spad" 2200763 2200774 2202831 2202858) (-1243 "VECTCAT.spad" 2198471 2198484 2200541 2200546) (-1242 "VARIABLE.spad" 2198251 2198266 2198461 2198466) (-1241 "UTYPE.spad" 2197895 2197904 2198241 2198246) (-1240 "UTSODETL.spad" 2197188 2197212 2197851 2197856) (-1239 "UTSODE.spad" 2195376 2195396 2197178 2197183) (-1238 "UTS.spad" 2190165 2190193 2193843 2193940) (-1237 "UTSCAT.spad" 2187616 2187632 2190063 2190160) (-1236 "UTSCAT.spad" 2184711 2184729 2187160 2187165) (-1235 "UTS2.spad" 2184304 2184339 2184701 2184706) (-1234 "URAGG.spad" 2178936 2178947 2184294 2184299) (-1233 "URAGG.spad" 2173532 2173545 2178892 2178897) (-1232 "UPXSSING.spad" 2171175 2171201 2172613 2172746) (-1231 "UPXS.spad" 2168323 2168351 2169307 2169456) (-1230 "UPXSCONS.spad" 2166080 2166100 2166455 2166604) (-1229 "UPXSCCA.spad" 2164645 2164665 2165926 2166075) (-1228 "UPXSCCA.spad" 2163352 2163374 2164635 2164640) (-1227 "UPXSCAT.spad" 2161933 2161949 2163198 2163347) (-1226 "UPXS2.spad" 2161474 2161527 2161923 2161928) (-1225 "UPSQFREE.spad" 2159886 2159900 2161464 2161469) (-1224 "UPSCAT.spad" 2157479 2157503 2159784 2159881) (-1223 "UPSCAT.spad" 2154778 2154804 2157085 2157090) (-1222 "UPOLYC.spad" 2149756 2149767 2154620 2154773) (-1221 "UPOLYC.spad" 2144626 2144639 2149492 2149497) (-1220 "UPOLYC2.spad" 2144095 2144114 2144616 2144621) (-1219 "UP.spad" 2141252 2141267 2141645 2141798) (-1218 "UPMP.spad" 2140142 2140155 2141242 2141247) (-1217 "UPDIVP.spad" 2139705 2139719 2140132 2140137) (-1216 "UPDECOMP.spad" 2137942 2137956 2139695 2139700) (-1215 "UPCDEN.spad" 2137149 2137165 2137932 2137937) (-1214 "UP2.spad" 2136511 2136532 2137139 2137144) (-1213 "UNISEG.spad" 2135864 2135875 2136430 2136435) (-1212 "UNISEG2.spad" 2135357 2135370 2135820 2135825) (-1211 "UNIFACT.spad" 2134458 2134470 2135347 2135352) (-1210 "ULS.spad" 2125010 2125038 2126103 2126532) (-1209 "ULSCONS.spad" 2117404 2117424 2117776 2117925) (-1208 "ULSCCAT.spad" 2115133 2115153 2117250 2117399) (-1207 "ULSCCAT.spad" 2112970 2112992 2115089 2115094) (-1206 "ULSCAT.spad" 2111186 2111202 2112816 2112965) (-1205 "ULS2.spad" 2110698 2110751 2111176 2111181) (-1204 "UFD.spad" 2109763 2109772 2110624 2110693) (-1203 "UFD.spad" 2108890 2108901 2109753 2109758) (-1202 "UDVO.spad" 2107737 2107746 2108880 2108885) (-1201 "UDPO.spad" 2105164 2105175 2107693 2107698) (-1200 "TYPE.spad" 2105096 2105105 2105154 2105159) (-1199 "TYPEAST.spad" 2105015 2105024 2105086 2105091) (-1198 "TWOFACT.spad" 2103665 2103680 2105005 2105010) (-1197 "TUPLE.spad" 2103149 2103160 2103564 2103569) (-1196 "TUBETOOL.spad" 2099986 2099995 2103139 2103144) (-1195 "TUBE.spad" 2098627 2098644 2099976 2099981) (-1194 "TS.spad" 2097216 2097232 2098192 2098289) (-1193 "TSETCAT.spad" 2084343 2084360 2097184 2097211) (-1192 "TSETCAT.spad" 2071456 2071475 2084299 2084304) (-1191 "TRMANIP.spad" 2065822 2065839 2071162 2071167) (-1190 "TRIMAT.spad" 2064781 2064806 2065812 2065817) (-1189 "TRIGMNIP.spad" 2063298 2063315 2064771 2064776) (-1188 "TRIGCAT.spad" 2062810 2062819 2063288 2063293) (-1187 "TRIGCAT.spad" 2062320 2062331 2062800 2062805) (-1186 "TREE.spad" 2060891 2060902 2061927 2061954) (-1185 "TRANFUN.spad" 2060722 2060731 2060881 2060886) (-1184 "TRANFUN.spad" 2060551 2060562 2060712 2060717) (-1183 "TOPSP.spad" 2060225 2060234 2060541 2060546) (-1182 "TOOLSIGN.spad" 2059888 2059899 2060215 2060220) (-1181 "TEXTFILE.spad" 2058445 2058454 2059878 2059883) (-1180 "TEX.spad" 2055577 2055586 2058435 2058440) (-1179 "TEX1.spad" 2055133 2055144 2055567 2055572) (-1178 "TEMUTL.spad" 2054688 2054697 2055123 2055128) (-1177 "TBCMPPK.spad" 2052781 2052804 2054678 2054683) (-1176 "TBAGG.spad" 2051817 2051840 2052761 2052776) (-1175 "TBAGG.spad" 2050861 2050886 2051807 2051812) (-1174 "TANEXP.spad" 2050237 2050248 2050851 2050856) (-1173 "TABLE.spad" 2048648 2048671 2048918 2048945) (-1172 "TABLEAU.spad" 2048129 2048140 2048638 2048643) (-1171 "TABLBUMP.spad" 2044912 2044923 2048119 2048124) (-1170 "SYSTEM.spad" 2044186 2044195 2044902 2044907) (-1169 "SYSSOLP.spad" 2041659 2041670 2044176 2044181) (-1168 "SYNTAX.spad" 2037929 2037938 2041649 2041654) (-1167 "SYMTAB.spad" 2035985 2035994 2037919 2037924) (-1166 "SYMS.spad" 2031970 2031979 2035975 2035980) (-1165 "SYMPOLY.spad" 2030977 2030988 2031059 2031186) (-1164 "SYMFUNC.spad" 2030452 2030463 2030967 2030972) (-1163 "SYMBOL.spad" 2027879 2027888 2030442 2030447) (-1162 "SWITCH.spad" 2024636 2024645 2027869 2027874) (-1161 "SUTS.spad" 2021535 2021563 2023103 2023200) (-1160 "SUPXS.spad" 2018670 2018698 2019667 2019816) (-1159 "SUP.spad" 2015439 2015450 2016220 2016373) (-1158 "SUPFRACF.spad" 2014544 2014562 2015429 2015434) (-1157 "SUP2.spad" 2013934 2013947 2014534 2014539) (-1156 "SUMRF.spad" 2012900 2012911 2013924 2013929) (-1155 "SUMFS.spad" 2012533 2012550 2012890 2012895) (-1154 "SULS.spad" 2003072 2003100 2004178 2004607) (-1153 "SUCHTAST.spad" 2002841 2002850 2003062 2003067) (-1152 "SUCH.spad" 2002521 2002536 2002831 2002836) (-1151 "SUBSPACE.spad" 1994528 1994543 2002511 2002516) (-1150 "SUBRESP.spad" 1993688 1993702 1994484 1994489) (-1149 "STTF.spad" 1989787 1989803 1993678 1993683) (-1148 "STTFNC.spad" 1986255 1986271 1989777 1989782) (-1147 "STTAYLOR.spad" 1978653 1978664 1986136 1986141) (-1146 "STRTBL.spad" 1977158 1977175 1977307 1977334) (-1145 "STRING.spad" 1976567 1976576 1976581 1976608) (-1144 "STRICAT.spad" 1976355 1976364 1976535 1976562) (-1143 "STREAM.spad" 1973213 1973224 1975880 1975895) (-1142 "STREAM3.spad" 1972758 1972773 1973203 1973208) (-1141 "STREAM2.spad" 1971826 1971839 1972748 1972753) (-1140 "STREAM1.spad" 1971530 1971541 1971816 1971821) (-1139 "STINPROD.spad" 1970436 1970452 1971520 1971525) (-1138 "STEP.spad" 1969637 1969646 1970426 1970431) (-1137 "STBL.spad" 1968163 1968191 1968330 1968345) (-1136 "STAGG.spad" 1967238 1967249 1968153 1968158) (-1135 "STAGG.spad" 1966311 1966324 1967228 1967233) (-1134 "STACK.spad" 1965662 1965673 1965918 1965945) (-1133 "SREGSET.spad" 1963366 1963383 1965308 1965335) (-1132 "SRDCMPK.spad" 1961911 1961931 1963356 1963361) (-1131 "SRAGG.spad" 1957008 1957017 1961879 1961906) (-1130 "SRAGG.spad" 1952125 1952136 1956998 1957003) (-1129 "SQMATRIX.spad" 1949741 1949759 1950657 1950744) (-1128 "SPLTREE.spad" 1944293 1944306 1949177 1949204) (-1127 "SPLNODE.spad" 1940881 1940894 1944283 1944288) (-1126 "SPFCAT.spad" 1939658 1939667 1940871 1940876) (-1125 "SPECOUT.spad" 1938208 1938217 1939648 1939653) (-1124 "SPADXPT.spad" 1930347 1930356 1938198 1938203) (-1123 "spad-parser.spad" 1929812 1929821 1930337 1930342) (-1122 "SPADAST.spad" 1929513 1929522 1929802 1929807) (-1121 "SPACEC.spad" 1913526 1913537 1929503 1929508) (-1120 "SPACE3.spad" 1913302 1913313 1913516 1913521) (-1119 "SORTPAK.spad" 1912847 1912860 1913258 1913263) (-1118 "SOLVETRA.spad" 1910604 1910615 1912837 1912842) (-1117 "SOLVESER.spad" 1909124 1909135 1910594 1910599) (-1116 "SOLVERAD.spad" 1905134 1905145 1909114 1909119) (-1115 "SOLVEFOR.spad" 1903554 1903572 1905124 1905129) (-1114 "SNTSCAT.spad" 1903154 1903171 1903522 1903549) (-1113 "SMTS.spad" 1901414 1901440 1902719 1902816) (-1112 "SMP.spad" 1898853 1898873 1899243 1899370) (-1111 "SMITH.spad" 1897696 1897721 1898843 1898848) (-1110 "SMATCAT.spad" 1895806 1895836 1897640 1897691) (-1109 "SMATCAT.spad" 1893848 1893880 1895684 1895689) (-1108 "SKAGG.spad" 1892809 1892820 1893816 1893843) (-1107 "SINT.spad" 1891117 1891126 1892675 1892804) (-1106 "SIMPAN.spad" 1890845 1890854 1891107 1891112) (-1105 "SIG.spad" 1890173 1890182 1890835 1890840) (-1104 "SIGNRF.spad" 1889281 1889292 1890163 1890168) (-1103 "SIGNEF.spad" 1888550 1888567 1889271 1889276) (-1102 "SIGAST.spad" 1887931 1887940 1888540 1888545) (-1101 "SHP.spad" 1885849 1885864 1887887 1887892) (-1100 "SHDP.spad" 1875560 1875587 1876069 1876200) (-1099 "SGROUP.spad" 1875168 1875177 1875550 1875555) (-1098 "SGROUP.spad" 1874774 1874785 1875158 1875163) (-1097 "SGCF.spad" 1867655 1867664 1874764 1874769) (-1096 "SFRTCAT.spad" 1866583 1866600 1867623 1867650) (-1095 "SFRGCD.spad" 1865646 1865666 1866573 1866578) (-1094 "SFQCMPK.spad" 1860283 1860303 1865636 1865641) (-1093 "SFORT.spad" 1859718 1859732 1860273 1860278) (-1092 "SEXOF.spad" 1859561 1859601 1859708 1859713) (-1091 "SEX.spad" 1859453 1859462 1859551 1859556) (-1090 "SEXCAT.spad" 1857004 1857044 1859443 1859448) (-1089 "SET.spad" 1855304 1855315 1856425 1856464) (-1088 "SETMN.spad" 1853738 1853755 1855294 1855299) (-1087 "SETCAT.spad" 1853223 1853232 1853728 1853733) (-1086 "SETCAT.spad" 1852706 1852717 1853213 1853218) (-1085 "SETAGG.spad" 1849227 1849238 1852686 1852701) (-1084 "SETAGG.spad" 1845756 1845769 1849217 1849222) (-1083 "SEQAST.spad" 1845459 1845468 1845746 1845751) (-1082 "SEGXCAT.spad" 1844581 1844594 1845449 1845454) (-1081 "SEG.spad" 1844394 1844405 1844500 1844505) (-1080 "SEGCAT.spad" 1843301 1843312 1844384 1844389) (-1079 "SEGBIND.spad" 1842373 1842384 1843256 1843261) (-1078 "SEGBIND2.spad" 1842069 1842082 1842363 1842368) (-1077 "SEGAST.spad" 1841783 1841792 1842059 1842064) (-1076 "SEG2.spad" 1841208 1841221 1841739 1841744) (-1075 "SDVAR.spad" 1840484 1840495 1841198 1841203) (-1074 "SDPOL.spad" 1837874 1837885 1838165 1838292) (-1073 "SCPKG.spad" 1835953 1835964 1837864 1837869) (-1072 "SCOPE.spad" 1835098 1835107 1835943 1835948) (-1071 "SCACHE.spad" 1833780 1833791 1835088 1835093) (-1070 "SASTCAT.spad" 1833689 1833698 1833770 1833775) (-1069 "SAOS.spad" 1833561 1833570 1833679 1833684) (-1068 "SAERFFC.spad" 1833274 1833294 1833551 1833556) (-1067 "SAE.spad" 1831449 1831465 1832060 1832195) (-1066 "SAEFACT.spad" 1831150 1831170 1831439 1831444) (-1065 "RURPK.spad" 1828791 1828807 1831140 1831145) (-1064 "RULESET.spad" 1828232 1828256 1828781 1828786) (-1063 "RULE.spad" 1826436 1826460 1828222 1828227) (-1062 "RULECOLD.spad" 1826288 1826301 1826426 1826431) (-1061 "RSTRCAST.spad" 1826005 1826014 1826278 1826283) (-1060 "RSETGCD.spad" 1822383 1822403 1825995 1826000) (-1059 "RSETCAT.spad" 1812167 1812184 1822351 1822378) (-1058 "RSETCAT.spad" 1801971 1801990 1812157 1812162) (-1057 "RSDCMPK.spad" 1800423 1800443 1801961 1801966) (-1056 "RRCC.spad" 1798807 1798837 1800413 1800418) (-1055 "RRCC.spad" 1797189 1797221 1798797 1798802) (-1054 "RPTAST.spad" 1796891 1796900 1797179 1797184) (-1053 "RPOLCAT.spad" 1776251 1776266 1796759 1796886) (-1052 "RPOLCAT.spad" 1755325 1755342 1775835 1775840) (-1051 "ROUTINE.spad" 1751188 1751197 1753972 1753999) (-1050 "ROMAN.spad" 1750516 1750525 1751054 1751183) (-1049 "ROIRC.spad" 1749596 1749628 1750506 1750511) (-1048 "RNS.spad" 1748499 1748508 1749498 1749591) (-1047 "RNS.spad" 1747488 1747499 1748489 1748494) (-1046 "RNG.spad" 1747223 1747232 1747478 1747483) (-1045 "RMODULE.spad" 1746861 1746872 1747213 1747218) (-1044 "RMCAT2.spad" 1746269 1746326 1746851 1746856) (-1043 "RMATRIX.spad" 1745093 1745112 1745436 1745475) (-1042 "RMATCAT.spad" 1740626 1740657 1745049 1745088) (-1041 "RMATCAT.spad" 1736049 1736082 1740474 1740479) (-1040 "RINTERP.spad" 1735937 1735957 1736039 1736044) (-1039 "RING.spad" 1735407 1735416 1735917 1735932) (-1038 "RING.spad" 1734885 1734896 1735397 1735402) (-1037 "RIDIST.spad" 1734269 1734278 1734875 1734880) (-1036 "RGCHAIN.spad" 1732848 1732864 1733754 1733781) (-1035 "RGBCSPC.spad" 1732629 1732641 1732838 1732843) (-1034 "RGBCMDL.spad" 1732159 1732171 1732619 1732624) (-1033 "RF.spad" 1729773 1729784 1732149 1732154) (-1032 "RFFACTOR.spad" 1729235 1729246 1729763 1729768) (-1031 "RFFACT.spad" 1728970 1728982 1729225 1729230) (-1030 "RFDIST.spad" 1727958 1727967 1728960 1728965) (-1029 "RETSOL.spad" 1727375 1727388 1727948 1727953) (-1028 "RETRACT.spad" 1726803 1726814 1727365 1727370) (-1027 "RETRACT.spad" 1726229 1726242 1726793 1726798) (-1026 "RETAST.spad" 1726041 1726050 1726219 1726224) (-1025 "RESULT.spad" 1724101 1724110 1724688 1724715) (-1024 "RESRING.spad" 1723448 1723495 1724039 1724096) (-1023 "RESLATC.spad" 1722772 1722783 1723438 1723443) (-1022 "REPSQ.spad" 1722501 1722512 1722762 1722767) (-1021 "REP.spad" 1720053 1720062 1722491 1722496) (-1020 "REPDB.spad" 1719758 1719769 1720043 1720048) (-1019 "REP2.spad" 1709330 1709341 1719600 1719605) (-1018 "REP1.spad" 1703320 1703331 1709280 1709285) (-1017 "REGSET.spad" 1701117 1701134 1702966 1702993) (-1016 "REF.spad" 1700446 1700457 1701072 1701077) (-1015 "REDORDER.spad" 1699622 1699639 1700436 1700441) (-1014 "RECLOS.spad" 1698405 1698425 1699109 1699202) (-1013 "REALSOLV.spad" 1697537 1697546 1698395 1698400) (-1012 "REAL.spad" 1697409 1697418 1697527 1697532) (-1011 "REAL0Q.spad" 1694691 1694706 1697399 1697404) (-1010 "REAL0.spad" 1691519 1691534 1694681 1694686) (-1009 "RDUCEAST.spad" 1691240 1691249 1691509 1691514) (-1008 "RDIV.spad" 1690891 1690916 1691230 1691235) (-1007 "RDIST.spad" 1690454 1690465 1690881 1690886) (-1006 "RDETRS.spad" 1689250 1689268 1690444 1690449) (-1005 "RDETR.spad" 1687357 1687375 1689240 1689245) (-1004 "RDEEFS.spad" 1686430 1686447 1687347 1687352) (-1003 "RDEEF.spad" 1685426 1685443 1686420 1686425) (-1002 "RCFIELD.spad" 1682612 1682621 1685328 1685421) (-1001 "RCFIELD.spad" 1679884 1679895 1682602 1682607) (-1000 "RCAGG.spad" 1677796 1677807 1679874 1679879) (-999 "RCAGG.spad" 1675636 1675648 1677715 1677720) (-998 "RATRET.spad" 1674997 1675007 1675626 1675631) (-997 "RATFACT.spad" 1674690 1674701 1674987 1674992) (-996 "RANDSRC.spad" 1674010 1674018 1674680 1674685) (-995 "RADUTIL.spad" 1673765 1673773 1674000 1674005) (-994 "RADIX.spad" 1670667 1670680 1672232 1672325) (-993 "RADFF.spad" 1669081 1669117 1669199 1669355) (-992 "RADCAT.spad" 1668675 1668683 1669071 1669076) (-991 "RADCAT.spad" 1668267 1668277 1668665 1668670) (-990 "QUEUE.spad" 1667610 1667620 1667874 1667901) (-989 "QUAT.spad" 1666192 1666202 1666534 1666599) (-988 "QUATCT2.spad" 1665811 1665829 1666182 1666187) (-987 "QUATCAT.spad" 1663976 1663986 1665741 1665806) (-986 "QUATCAT.spad" 1661892 1661904 1663659 1663664) (-985 "QUAGG.spad" 1660718 1660728 1661860 1661887) (-984 "QQUTAST.spad" 1660487 1660495 1660708 1660713) (-983 "QFORM.spad" 1659950 1659964 1660477 1660482) (-982 "QFCAT.spad" 1658653 1658663 1659852 1659945) (-981 "QFCAT.spad" 1656947 1656959 1658148 1658153) (-980 "QFCAT2.spad" 1656638 1656654 1656937 1656942) (-979 "QEQUAT.spad" 1656195 1656203 1656628 1656633) (-978 "QCMPACK.spad" 1650942 1650961 1656185 1656190) (-977 "QALGSET.spad" 1647017 1647049 1650856 1650861) (-976 "QALGSET2.spad" 1645013 1645031 1647007 1647012) (-975 "PWFFINTB.spad" 1642323 1642344 1645003 1645008) (-974 "PUSHVAR.spad" 1641652 1641671 1642313 1642318) (-973 "PTRANFN.spad" 1637778 1637788 1641642 1641647) (-972 "PTPACK.spad" 1634866 1634876 1637768 1637773) (-971 "PTFUNC2.spad" 1634687 1634701 1634856 1634861) (-970 "PTCAT.spad" 1633936 1633946 1634655 1634682) (-969 "PSQFR.spad" 1633243 1633267 1633926 1633931) (-968 "PSEUDLIN.spad" 1632101 1632111 1633233 1633238) (-967 "PSETPK.spad" 1617534 1617550 1631979 1631984) (-966 "PSETCAT.spad" 1611454 1611477 1617514 1617529) (-965 "PSETCAT.spad" 1605348 1605373 1611410 1611415) (-964 "PSCURVE.spad" 1604331 1604339 1605338 1605343) (-963 "PSCAT.spad" 1603098 1603127 1604229 1604326) (-962 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1035382) (-642 "LODEEF.spad" 1033835 1033853 1035053 1035058) (-641 "LNAGG.spad" 1029637 1029647 1033825 1033830) (-640 "LNAGG.spad" 1025403 1025415 1029593 1029598) (-639 "LMOPS.spad" 1022139 1022156 1025393 1025398) (-638 "LMODULE.spad" 1021781 1021791 1022129 1022134) (-637 "LMDICT.spad" 1021064 1021074 1021332 1021359) (-636 "LITERAL.spad" 1020970 1020981 1021054 1021059) (-635 "LIST.spad" 1018688 1018698 1020117 1020144) (-634 "LIST3.spad" 1017979 1017993 1018678 1018683) (-633 "LIST2.spad" 1016619 1016631 1017969 1017974) (-632 "LIST2MAP.spad" 1013496 1013508 1016609 1016614) (-631 "LINEXP.spad" 1012928 1012938 1013476 1013491) (-630 "LINDEP.spad" 1011705 1011717 1012840 1012845) (-629 "LIMITRF.spad" 1009619 1009629 1011695 1011700) (-628 "LIMITPS.spad" 1008502 1008515 1009609 1009614) (-627 "LIE.spad" 1006516 1006528 1007792 1007937) (-626 "LIECAT.spad" 1005992 1006002 1006442 1006511) (-625 "LIECAT.spad" 1005496 1005508 1005948 1005953) (-624 "LIB.spad" 1003544 1003552 1004155 1004170) (-623 "LGROBP.spad" 1000897 1000916 1003534 1003539) (-622 "LF.spad" 999816 999832 1000887 1000892) (-621 "LFCAT.spad" 998835 998843 999806 999811) (-620 "LEXTRIPK.spad" 994338 994353 998825 998830) (-619 "LEXP.spad" 992341 992368 994318 994333) (-618 "LETAST.spad" 992040 992048 992331 992336) (-617 "LEADCDET.spad" 990424 990441 992030 992035) (-616 "LAZM3PK.spad" 989128 989150 990414 990419) (-615 "LAUPOL.spad" 987817 987830 988721 988790) (-614 "LAPLACE.spad" 987390 987406 987807 987812) (-613 "LA.spad" 986830 986844 987312 987351) (-612 "LALG.spad" 986606 986616 986810 986825) (-611 "LALG.spad" 986390 986402 986596 986601) (-610 "KVTFROM.spad" 986125 986135 986380 986385) (-609 "KTVLOGIC.spad" 985548 985556 986115 986120) (-608 "KRCFROM.spad" 985286 985296 985538 985543) (-607 "KOVACIC.spad" 983999 984016 985276 985281) (-606 "KONVERT.spad" 983721 983731 983989 983994) (-605 "KOERCE.spad" 983458 983468 983711 983716) (-604 "KERNEL.spad" 981993 982003 983242 983247) (-603 "KERNEL2.spad" 981696 981708 981983 981988) (-602 "KDAGG.spad" 980799 980821 981676 981691) (-601 "KDAGG.spad" 979910 979934 980789 980794) (-600 "KAFILE.spad" 978873 978889 979108 979135) (-599 "JORDAN.spad" 976700 976712 978163 978308) (-598 "JOINAST.spad" 976394 976402 976690 976695) (-597 "JAVACODE.spad" 976260 976268 976384 976389) (-596 "IXAGG.spad" 974383 974407 976250 976255) (-595 "IXAGG.spad" 972361 972387 974230 974235) (-594 "IVECTOR.spad" 971132 971147 971287 971314) (-593 "ITUPLE.spad" 970277 970287 971122 971127) (-592 "ITRIGMNP.spad" 969088 969107 970267 970272) (-591 "ITFUN3.spad" 968582 968596 969078 969083) (-590 "ITFUN2.spad" 968312 968324 968572 968577) (-589 "ITAYLOR.spad" 966104 966119 968148 968273) (-588 "ISUPS.spad" 958515 958530 965078 965175) (-587 "ISUMP.spad" 958012 958028 958505 958510) (-586 "ISTRING.spad" 957015 957028 957181 957208) (-585 "ISAST.spad" 956734 956742 957005 957010) (-584 "IRURPK.spad" 955447 955466 956724 956729) (-583 "IRSN.spad" 953407 953415 955437 955442) (-582 "IRRF2F.spad" 951882 951892 953363 953368) (-581 "IRREDFFX.spad" 951483 951494 951872 951877) (-580 "IROOT.spad" 949814 949824 951473 951478) (-579 "IR.spad" 947603 947617 949669 949696) (-578 "IR2.spad" 946623 946639 947593 947598) (-577 "IR2F.spad" 945823 945839 946613 946618) (-576 "IPRNTPK.spad" 945583 945591 945813 945818) (-575 "IPF.spad" 945148 945160 945388 945481) (-574 "IPADIC.spad" 944909 944935 945074 945143) (-573 "IP4ADDR.spad" 944457 944465 944899 944904) (-572 "IOMODE.spad" 944078 944086 944447 944452) (-571 "IOBFILE.spad" 943439 943447 944068 944073) (-570 "IOBCON.spad" 943304 943312 943429 943434) (-569 "INVLAPLA.spad" 942949 942965 943294 943299) (-568 "INTTR.spad" 936195 936212 942939 942944) (-567 "INTTOOLS.spad" 933906 933922 935769 935774) (-566 "INTSLPE.spad" 933212 933220 933896 933901) (-565 "INTRVL.spad" 932778 932788 933126 933207) (-564 "INTRF.spad" 931142 931156 932768 932773) (-563 "INTRET.spad" 930574 930584 931132 931137) (-562 "INTRAT.spad" 929249 929266 930564 930569) (-561 "INTPM.spad" 927612 927628 928892 928897) (-560 "INTPAF.spad" 925380 925398 927544 927549) (-559 "INTPACK.spad" 915690 915698 925370 925375) (-558 "INT.spad" 915051 915059 915544 915685) (-557 "INTHERTR.spad" 914317 914334 915041 915046) (-556 "INTHERAL.spad" 913983 914007 914307 914312) (-555 "INTHEORY.spad" 910396 910404 913973 913978) (-554 "INTG0.spad" 903859 903877 910328 910333) (-553 "INTFTBL.spad" 897888 897896 903849 903854) (-552 "INTFACT.spad" 896947 896957 897878 897883) (-551 "INTEF.spad" 895262 895278 896937 896942) (-550 "INTDOM.spad" 893877 893885 895188 895257) (-549 "INTDOM.spad" 892554 892564 893867 893872) (-548 "INTCAT.spad" 890807 890817 892468 892549) (-547 "INTBIT.spad" 890310 890318 890797 890802) (-546 "INTALG.spad" 889492 889519 890300 890305) (-545 "INTAF.spad" 888984 889000 889482 889487) (-544 "INTABL.spad" 887502 887533 887665 887692) (-543 "INS.spad" 884969 884977 887404 887497) (-542 "INS.spad" 882522 882532 884959 884964) (-541 "INPSIGN.spad" 881956 881969 882512 882517) (-540 "INPRODPF.spad" 881022 881041 881946 881951) (-539 "INPRODFF.spad" 880080 880104 881012 881017) (-538 "INNMFACT.spad" 879051 879068 880070 880075) (-537 "INMODGCD.spad" 878535 878565 879041 879046) (-536 "INFSP.spad" 876820 876842 878525 878530) (-535 "INFPROD0.spad" 875870 875889 876810 876815) (-534 "INFORM.spad" 873031 873039 875860 875865) (-533 "INFORM1.spad" 872656 872666 873021 873026) (-532 "INFINITY.spad" 872208 872216 872646 872651) (-531 "INETCLTS.spad" 872185 872193 872198 872203) (-530 "INEP.spad" 870717 870739 872175 872180) (-529 "INDE.spad" 870446 870463 870707 870712) (-528 "INCRMAPS.spad" 869867 869877 870436 870441) (-527 "INBFILE.spad" 868939 868947 869857 869862) (-526 "INBFF.spad" 864709 864720 868929 868934) (-525 "INBCON.spad" 863953 863961 864699 864704) (-524 "INBCON.spad" 863195 863205 863943 863948) (-523 "INAST.spad" 862860 862868 863185 863190) (-522 "IMPTAST.spad" 862568 862576 862850 862855) (-521 "IMATRIX.spad" 861513 861539 862025 862052) (-520 "IMATQF.spad" 860607 860651 861469 861474) (-519 "IMATLIN.spad" 859212 859236 860563 860568) (-518 "ILIST.spad" 857868 857883 858395 858422) (-517 "IIARRAY2.spad" 857256 857294 857475 857502) (-516 "IFF.spad" 856666 856682 856937 857030) (-515 "IFAST.spad" 856280 856288 856656 856661) (-514 "IFARRAY.spad" 853767 853782 855463 855490) (-513 "IFAMON.spad" 853629 853646 853723 853728) (-512 "IEVALAB.spad" 853018 853030 853619 853624) (-511 "IEVALAB.spad" 852405 852419 853008 853013) (-510 "IDPO.spad" 852203 852215 852395 852400) (-509 "IDPOAMS.spad" 851959 851971 852193 852198) (-508 "IDPOAM.spad" 851679 851691 851949 851954) (-507 "IDPC.spad" 850613 850625 851669 851674) (-506 "IDPAM.spad" 850358 850370 850603 850608) (-505 "IDPAG.spad" 850105 850117 850348 850353) (-504 "IDENT.spad" 849877 849885 850095 850100) (-503 "IDECOMP.spad" 847114 847132 849867 849872) (-502 "IDEAL.spad" 842037 842076 847049 847054) (-501 "ICDEN.spad" 841188 841204 842027 842032) (-500 "ICARD.spad" 840377 840385 841178 841183) (-499 "IBPTOOLS.spad" 838970 838987 840367 840372) (-498 "IBITS.spad" 838169 838182 838606 838633) (-497 "IBATOOL.spad" 835044 835063 838159 838164) (-496 "IBACHIN.spad" 833531 833546 835034 835039) (-495 "IARRAY2.spad" 832519 832545 833138 833165) (-494 "IARRAY1.spad" 831564 831579 831702 831729) (-493 "IAN.spad" 829777 829785 831380 831473) (-492 "IALGFACT.spad" 829378 829411 829767 829772) (-491 "HYPCAT.spad" 828802 828810 829368 829373) (-490 "HYPCAT.spad" 828224 828234 828792 828797) (-489 "HOSTNAME.spad" 828032 828040 828214 828219) (-488 "HOMOTOP.spad" 827775 827785 828022 828027) (-487 "HOAGG.spad" 825043 825053 827765 827770) (-486 "HOAGG.spad" 822086 822098 824810 824815) (-485 "HEXADEC.spad" 820188 820196 820553 820646) (-484 "HEUGCD.spad" 819203 819214 820178 820183) (-483 "HELLFDIV.spad" 818793 818817 819193 819198) (-482 "HEAP.spad" 818185 818195 818400 818427) (-481 "HEADAST.spad" 817716 817724 818175 818180) (-480 "HDP.spad" 807559 807575 807936 808067) (-479 "HDMP.spad" 804735 804750 805353 805480) (-478 "HB.spad" 802972 802980 804725 804730) (-477 "HASHTBL.spad" 801442 801473 801653 801680) (-476 "HASAST.spad" 801158 801166 801432 801437) (-475 "HACKPI.spad" 800641 800649 801060 801153) (-474 "GTSET.spad" 799580 799596 800287 800314) (-473 "GSTBL.spad" 798099 798134 798273 798288) (-472 "GSERIES.spad" 795266 795293 796231 796380) (-471 "GROUP.spad" 794535 794543 795246 795261) (-470 "GROUP.spad" 793812 793822 794525 794530) (-469 "GROEBSOL.spad" 792300 792321 793802 793807) (-468 "GRMOD.spad" 790871 790883 792290 792295) (-467 "GRMOD.spad" 789440 789454 790861 790866) (-466 "GRIMAGE.spad" 782045 782053 789430 789435) (-465 "GRDEF.spad" 780424 780432 782035 782040) (-464 "GRAY.spad" 778883 778891 780414 780419) (-463 "GRALG.spad" 777930 777942 778873 778878) (-462 "GRALG.spad" 776975 776989 777920 777925) (-461 "GPOLSET.spad" 776429 776452 776657 776684) (-460 "GOSPER.spad" 775694 775712 776419 776424) (-459 "GMODPOL.spad" 774832 774859 775662 775689) (-458 "GHENSEL.spad" 773901 773915 774822 774827) (-457 "GENUPS.spad" 770002 770015 773891 773896) (-456 "GENUFACT.spad" 769579 769589 769992 769997) (-455 "GENPGCD.spad" 769163 769180 769569 769574) (-454 "GENMFACT.spad" 768615 768634 769153 769158) (-453 "GENEEZ.spad" 766554 766567 768605 768610) (-452 "GDMP.spad" 763572 763589 764348 764475) (-451 "GCNAALG.spad" 757467 757494 763366 763433) (-450 "GCDDOM.spad" 756639 756647 757393 757462) (-449 "GCDDOM.spad" 755873 755883 756629 756634) (-448 "GB.spad" 753391 753429 755829 755834) (-447 "GBINTERN.spad" 749411 749449 753381 753386) (-446 "GBF.spad" 745168 745206 749401 749406) (-445 "GBEUCLID.spad" 743042 743080 745158 745163) (-444 "GAUSSFAC.spad" 742339 742347 743032 743037) (-443 "GALUTIL.spad" 740661 740671 742295 742300) (-442 "GALPOLYU.spad" 739107 739120 740651 740656) (-441 "GALFACTU.spad" 737272 737291 739097 739102) (-440 "GALFACT.spad" 727405 727416 737262 737267) (-439 "FVFUN.spad" 724428 724436 727395 727400) (-438 "FVC.spad" 723480 723488 724418 724423) (-437 "FUNCTION.spad" 723329 723341 723470 723475) (-436 "FT.spad" 721622 721630 723319 723324) (-435 "FTEM.spad" 720785 720793 721612 721617) (-434 "FSUPFACT.spad" 719685 719704 720721 720726) (-433 "FST.spad" 717771 717779 719675 719680) (-432 "FSRED.spad" 717249 717265 717761 717766) (-431 "FSPRMELT.spad" 716073 716089 717206 717211) (-430 "FSPECF.spad" 714150 714166 716063 716068) (-429 "FS.spad" 708212 708222 713925 714145) (-428 "FS.spad" 702052 702064 707767 707772) (-427 "FSINT.spad" 701710 701726 702042 702047) (-426 "FSERIES.spad" 700897 700909 701530 701629) (-425 "FSCINT.spad" 700210 700226 700887 700892) (-424 "FSAGG.spad" 699327 699337 700166 700205) (-423 "FSAGG.spad" 698406 698418 699247 699252) (-422 "FSAGG2.spad" 697105 697121 698396 698401) (-421 "FS2UPS.spad" 691588 691622 697095 697100) (-420 "FS2.spad" 691233 691249 691578 691583) (-419 "FS2EXPXP.spad" 690356 690379 691223 691228) (-418 "FRUTIL.spad" 689298 689308 690346 690351) (-417 "FR.spad" 682992 683002 688322 688391) (-416 "FRNAALG.spad" 678079 678089 682934 682987) (-415 "FRNAALG.spad" 673178 673190 678035 678040) (-414 "FRNAAF2.spad" 672632 672650 673168 673173) (-413 "FRMOD.spad" 672026 672056 672563 672568) (-412 "FRIDEAL.spad" 671221 671242 672006 672021) (-411 "FRIDEAL2.spad" 670823 670855 671211 671216) (-410 "FRETRCT.spad" 670334 670344 670813 670818) (-409 "FRETRCT.spad" 669711 669723 670192 670197) (-408 "FRAMALG.spad" 668039 668052 669667 669706) (-407 "FRAMALG.spad" 666399 666414 668029 668034) (-406 "FRAC.spad" 663498 663508 663901 664074) (-405 "FRAC2.spad" 663101 663113 663488 663493) (-404 "FR2.spad" 662435 662447 663091 663096) (-403 "FPS.spad" 659244 659252 662325 662430) (-402 "FPS.spad" 656081 656091 659164 659169) (-401 "FPC.spad" 655123 655131 655983 656076) (-400 "FPC.spad" 654251 654261 655113 655118) (-399 "FPATMAB.spad" 654013 654023 654241 654246) (-398 "FPARFRAC.spad" 652486 652503 654003 654008) (-397 "FORTRAN.spad" 650992 651035 652476 652481) (-396 "FORT.spad" 649921 649929 650982 650987) (-395 "FORTFN.spad" 647091 647099 649911 649916) (-394 "FORTCAT.spad" 646775 646783 647081 647086) (-393 "FORMULA.spad" 644239 644247 646765 646770) (-392 "FORMULA1.spad" 643718 643728 644229 644234) (-391 "FORDER.spad" 643409 643433 643708 643713) (-390 "FOP.spad" 642610 642618 643399 643404) (-389 "FNLA.spad" 642034 642056 642578 642605) (-388 "FNCAT.spad" 640621 640629 642024 642029) (-387 "FNAME.spad" 640513 640521 640611 640616) (-386 "FMTC.spad" 640311 640319 640439 640508) (-385 "FMONOID.spad" 637366 637376 640267 640272) (-384 "FM.spad" 637061 637073 637300 637327) (-383 "FMFUN.spad" 634091 634099 637051 637056) (-382 "FMC.spad" 633143 633151 634081 634086) (-381 "FMCAT.spad" 630797 630815 633111 633138) (-380 "FM1.spad" 630154 630166 630731 630758) (-379 "FLOATRP.spad" 627875 627889 630144 630149) (-378 "FLOAT.spad" 621163 621171 627741 627870) (-377 "FLOATCP.spad" 618580 618594 621153 621158) (-376 "FLINEXP.spad" 618292 618302 618560 618575) (-375 "FLINEXP.spad" 617958 617970 618228 618233) (-374 "FLASORT.spad" 617278 617290 617948 617953) (-373 "FLALG.spad" 614924 614943 617204 617273) (-372 "FLAGG.spad" 611942 611952 614904 614919) (-371 "FLAGG.spad" 608861 608873 611825 611830) (-370 "FLAGG2.spad" 607542 607558 608851 608856) (-369 "FINRALG.spad" 605571 605584 607498 607537) (-368 "FINRALG.spad" 603526 603541 605455 605460) (-367 "FINITE.spad" 602678 602686 603516 603521) (-366 "FINAALG.spad" 591659 591669 602620 602673) (-365 "FINAALG.spad" 580652 580664 591615 591620) (-364 "FILE.spad" 580235 580245 580642 580647) (-363 "FILECAT.spad" 578753 578770 580225 580230) (-362 "FIELD.spad" 578159 578167 578655 578748) (-361 "FIELD.spad" 577651 577661 578149 578154) (-360 "FGROUP.spad" 576260 576270 577631 577646) (-359 "FGLMICPK.spad" 575047 575062 576250 576255) (-358 "FFX.spad" 574422 574437 574763 574856) (-357 "FFSLPE.spad" 573911 573932 574412 574417) (-356 "FFPOLY.spad" 565163 565174 573901 573906) (-355 "FFPOLY2.spad" 564223 564240 565153 565158) (-354 "FFP.spad" 563620 563640 563939 564032) (-353 "FF.spad" 563068 563084 563301 563394) (-352 "FFNBX.spad" 561580 561600 562784 562877) (-351 "FFNBP.spad" 560093 560110 561296 561389) (-350 "FFNB.spad" 558558 558579 559774 559867) (-349 "FFINTBAS.spad" 555972 555991 558548 558553) (-348 "FFIELDC.spad" 553547 553555 555874 555967) (-347 "FFIELDC.spad" 551208 551218 553537 553542) (-346 "FFHOM.spad" 549956 549973 551198 551203) (-345 "FFF.spad" 547391 547402 549946 549951) (-344 "FFCGX.spad" 546238 546258 547107 547200) (-343 "FFCGP.spad" 545127 545147 545954 546047) (-342 "FFCG.spad" 543919 543940 544808 544901) (-341 "FFCAT.spad" 536946 536968 543758 543914) (-340 "FFCAT.spad" 530052 530076 536866 536871) (-339 "FFCAT2.spad" 529797 529837 530042 530047) (-338 "FEXPR.spad" 521506 521552 529553 529592) (-337 "FEVALAB.spad" 521212 521222 521496 521501) (-336 "FEVALAB.spad" 520703 520715 520989 520994) (-335 "FDIV.spad" 520145 520169 520693 520698) (-334 "FDIVCAT.spad" 518187 518211 520135 520140) (-333 "FDIVCAT.spad" 516227 516253 518177 518182) (-332 "FDIV2.spad" 515881 515921 516217 516222) (-331 "FCPAK1.spad" 514434 514442 515871 515876) (-330 "FCOMP.spad" 513813 513823 514424 514429) (-329 "FC.spad" 503728 503736 513803 513808) (-328 "FAXF.spad" 496663 496677 503630 503723) (-327 "FAXF.spad" 489650 489666 496619 496624) (-326 "FARRAY.spad" 487796 487806 488833 488860) (-325 "FAMR.spad" 485916 485928 487694 487791) (-324 "FAMR.spad" 484020 484034 485800 485805) (-323 "FAMONOID.spad" 483670 483680 483974 483979) (-322 "FAMONC.spad" 481892 481904 483660 483665) (-321 "FAGROUP.spad" 481498 481508 481788 481815) (-320 "FACUTIL.spad" 479694 479711 481488 481493) (-319 "FACTFUNC.spad" 478870 478880 479684 479689) (-318 "EXPUPXS.spad" 475703 475726 477002 477151) (-317 "EXPRTUBE.spad" 472931 472939 475693 475698) (-316 "EXPRODE.spad" 469803 469819 472921 472926) (-315 "EXPR.spad" 465078 465088 465792 466199) (-314 "EXPR2UPS.spad" 461170 461183 465068 465073) (-313 "EXPR2.spad" 460873 460885 461160 461165) (-312 "EXPEXPAN.spad" 457811 457836 458445 458538) (-311 "EXIT.spad" 457482 457490 457801 457806) (-310 "EXITAST.spad" 457218 457226 457472 457477) (-309 "EVALCYC.spad" 456676 456690 457208 457213) (-308 "EVALAB.spad" 456240 456250 456666 456671) (-307 "EVALAB.spad" 455802 455814 456230 456235) (-306 "EUCDOM.spad" 453344 453352 455728 455797) (-305 "EUCDOM.spad" 450948 450958 453334 453339) (-304 "ESTOOLS.spad" 442788 442796 450938 450943) (-303 "ESTOOLS2.spad" 442389 442403 442778 442783) (-302 "ESTOOLS1.spad" 442074 442085 442379 442384) (-301 "ES.spad" 434621 434629 442064 442069) (-300 "ES.spad" 427074 427084 434519 434524) (-299 "ESCONT.spad" 423847 423855 427064 427069) (-298 "ESCONT1.spad" 423596 423608 423837 423842) (-297 "ES2.spad" 423091 423107 423586 423591) (-296 "ES1.spad" 422657 422673 423081 423086) (-295 "ERROR.spad" 419978 419986 422647 422652) (-294 "EQTBL.spad" 418450 418472 418659 418686) (-293 "EQ.spad" 413324 413334 416123 416235) (-292 "EQ2.spad" 413040 413052 413314 413319) (-291 "EP.spad" 409354 409364 413030 413035) (-290 "ENV.spad" 408056 408064 409344 409349) (-289 "ENTIRER.spad" 407724 407732 408000 408051) (-288 "EMR.spad" 406925 406966 407650 407719) (-287 "ELTAGG.spad" 405165 405184 406915 406920) (-286 "ELTAGG.spad" 403369 403390 405121 405126) (-285 "ELTAB.spad" 402816 402834 403359 403364) (-284 "ELFUTS.spad" 402195 402214 402806 402811) (-283 "ELEMFUN.spad" 401884 401892 402185 402190) (-282 "ELEMFUN.spad" 401571 401581 401874 401879) (-281 "ELAGG.spad" 399514 399524 401551 401566) (-280 "ELAGG.spad" 397394 397406 399433 399438) (-279 "ELABEXPR.spad" 396325 396333 397384 397389) (-278 "EFUPXS.spad" 393101 393131 396281 396286) (-277 "EFULS.spad" 389937 389960 393057 393062) (-276 "EFSTRUC.spad" 387892 387908 389927 389932) (-275 "EF.spad" 382658 382674 387882 387887) (-274 "EAB.spad" 380934 380942 382648 382653) (-273 "E04UCFA.spad" 380470 380478 380924 380929) (-272 "E04NAFA.spad" 380047 380055 380460 380465) (-271 "E04MBFA.spad" 379627 379635 380037 380042) (-270 "E04JAFA.spad" 379163 379171 379617 379622) (-269 "E04GCFA.spad" 378699 378707 379153 379158) (-268 "E04FDFA.spad" 378235 378243 378689 378694) (-267 "E04DGFA.spad" 377771 377779 378225 378230) (-266 "E04AGNT.spad" 373613 373621 377761 377766) (-265 "DVARCAT.spad" 370298 370308 373603 373608) (-264 "DVARCAT.spad" 366981 366993 370288 370293) (-263 "DSMP.spad" 364412 364426 364717 364844) (-262 "DROPT.spad" 358357 358365 364402 364407) (-261 "DROPT1.spad" 358020 358030 358347 358352) (-260 "DROPT0.spad" 352847 352855 358010 358015) (-259 "DRAWPT.spad" 351002 351010 352837 352842) (-258 "DRAW.spad" 343602 343615 350992 350997) (-257 "DRAWHACK.spad" 342910 342920 343592 343597) (-256 "DRAWCX.spad" 340352 340360 342900 342905) (-255 "DRAWCURV.spad" 339889 339904 340342 340347) (-254 "DRAWCFUN.spad" 329061 329069 339879 339884) (-253 "DQAGG.spad" 327229 327239 329029 329056) (-252 "DPOLCAT.spad" 322570 322586 327097 327224) (-251 "DPOLCAT.spad" 317997 318015 322526 322531) (-250 "DPMO.spad" 310223 310239 310361 310662) (-249 "DPMM.spad" 302462 302480 302587 302888) (-248 "DOMCTOR.spad" 302354 302362 302452 302457) (-247 "DOMAIN.spad" 301485 301493 302344 302349) (-246 "DMP.spad" 298707 298722 299279 299406) (-245 "DLP.spad" 298055 298065 298697 298702) (-244 "DLIST.spad" 296634 296644 297238 297265) (-243 "DLAGG.spad" 295045 295055 296624 296629) (-242 "DIVRING.spad" 294587 294595 294989 295040) (-241 "DIVRING.spad" 294173 294183 294577 294582) (-240 "DISPLAY.spad" 292353 292361 294163 294168) (-239 "DIRPROD.spad" 281933 281949 282573 282704) (-238 "DIRPROD2.spad" 280741 280759 281923 281928) (-237 "DIRPCAT.spad" 279683 279699 280605 280736) (-236 "DIRPCAT.spad" 278354 278372 279278 279283) (-235 "DIOSP.spad" 277179 277187 278344 278349) (-234 "DIOPS.spad" 276163 276173 277159 277174) (-233 "DIOPS.spad" 275121 275133 276119 276124) (-232 "DIFRING.spad" 274413 274421 275101 275116) (-231 "DIFRING.spad" 273713 273723 274403 274408) (-230 "DIFEXT.spad" 272872 272882 273693 273708) (-229 "DIFEXT.spad" 271948 271960 272771 272776) (-228 "DIAGG.spad" 271578 271588 271928 271943) (-227 "DIAGG.spad" 271216 271228 271568 271573) (-226 "DHMATRIX.spad" 269520 269530 270673 270700) (-225 "DFSFUN.spad" 262928 262936 269510 269515) (-224 "DFLOAT.spad" 259649 259657 262818 262923) (-223 "DFINTTLS.spad" 257858 257874 259639 259644) (-222 "DERHAM.spad" 255768 255800 257838 257853) (-221 "DEQUEUE.spad" 255086 255096 255375 255402) (-220 "DEGRED.spad" 254701 254715 255076 255081) (-219 "DEFINTRF.spad" 252226 252236 254691 254696) (-218 "DEFINTEF.spad" 250722 250738 252216 252221) (-217 "DEFAST.spad" 250090 250098 250712 250717) (-216 "DECIMAL.spad" 248196 248204 248557 248650) (-215 "DDFACT.spad" 245995 246012 248186 248191) (-214 "DBLRESP.spad" 245593 245617 245985 245990) (-213 "DBASE.spad" 244247 244257 245583 245588) (-212 "DATAARY.spad" 243709 243722 244237 244242) (-211 "D03FAFA.spad" 243537 243545 243699 243704) (-210 "D03EEFA.spad" 243357 243365 243527 243532) (-209 "D03AGNT.spad" 242437 242445 243347 243352) (-208 "D02EJFA.spad" 241899 241907 242427 242432) (-207 "D02CJFA.spad" 241377 241385 241889 241894) (-206 "D02BHFA.spad" 240867 240875 241367 241372) (-205 "D02BBFA.spad" 240357 240365 240857 240862) (-204 "D02AGNT.spad" 235161 235169 240347 240352) (-203 "D01WGTS.spad" 233480 233488 235151 235156) (-202 "D01TRNS.spad" 233457 233465 233470 233475) (-201 "D01GBFA.spad" 232979 232987 233447 233452) (-200 "D01FCFA.spad" 232501 232509 232969 232974) (-199 "D01ASFA.spad" 231969 231977 232491 232496) (-198 "D01AQFA.spad" 231415 231423 231959 231964) (-197 "D01APFA.spad" 230839 230847 231405 231410) (-196 "D01ANFA.spad" 230333 230341 230829 230834) (-195 "D01AMFA.spad" 229843 229851 230323 230328) (-194 "D01ALFA.spad" 229383 229391 229833 229838) (-193 "D01AKFA.spad" 228909 228917 229373 229378) (-192 "D01AJFA.spad" 228432 228440 228899 228904) (-191 "D01AGNT.spad" 224491 224499 228422 228427) (-190 "CYCLOTOM.spad" 223997 224005 224481 224486) (-189 "CYCLES.spad" 220829 220837 223987 223992) (-188 "CVMP.spad" 220246 220256 220819 220824) (-187 "CTRIGMNP.spad" 218736 218752 220236 220241) (-186 "CTOR.spad" 218636 218644 218726 218731) (-185 "CTORKIND.spad" 218239 218247 218626 218631) (-184 "CTORCAT.spad" 217694 217702 218229 218234) (-183 "CTORCAT.spad" 217147 217157 217684 217689) (-182 "CTORCALL.spad" 216727 216735 217137 217142) (-181 "CSTTOOLS.spad" 215970 215983 216717 216722) (-180 "CRFP.spad" 209674 209687 215960 215965) (-179 "CRCEAST.spad" 209394 209402 209664 209669) (-178 "CRAPACK.spad" 208437 208447 209384 209389) (-177 "CPMATCH.spad" 207937 207952 208362 208367) (-176 "CPIMA.spad" 207642 207661 207927 207932) (-175 "COORDSYS.spad" 202535 202545 207632 207637) (-174 "CONTOUR.spad" 201937 201945 202525 202530) (-173 "CONTFRAC.spad" 197549 197559 201839 201932) (-172 "CONDUIT.spad" 197307 197315 197539 197544) (-171 "COMRING.spad" 196981 196989 197245 197302) (-170 "COMPPROP.spad" 196495 196503 196971 196976) (-169 "COMPLPAT.spad" 196262 196277 196485 196490) (-168 "COMPLEX.spad" 190298 190308 190542 190791) (-167 "COMPLEX2.spad" 190011 190023 190288 190293) (-166 "COMPFACT.spad" 189613 189627 190001 190006) (-165 "COMPCAT.spad" 187751 187761 189359 189608) (-164 "COMPCAT.spad" 185570 185582 187180 187185) (-163 "COMMUPC.spad" 185316 185334 185560 185565) (-162 "COMMONOP.spad" 184849 184857 185306 185311) (-161 "COMM.spad" 184658 184666 184839 184844) (-160 "COMMAAST.spad" 184421 184429 184648 184653) (-159 "COMBOPC.spad" 183326 183334 184411 184416) (-158 "COMBINAT.spad" 182071 182081 183316 183321) (-157 "COMBF.spad" 179439 179455 182061 182066) (-156 "COLOR.spad" 178276 178284 179429 179434) (-155 "COLONAST.spad" 177942 177950 178266 178271) (-154 "CMPLXRT.spad" 177651 177668 177932 177937) (-153 "CLLCTAST.spad" 177313 177321 177641 177646) (-152 "CLIP.spad" 173405 173413 177303 177308) (-151 "CLIF.spad" 172044 172060 173361 173400) (-150 "CLAGG.spad" 168529 168539 172034 172039) (-149 "CLAGG.spad" 164885 164897 168392 168397) (-148 "CINTSLPE.spad" 164210 164223 164875 164880) (-147 "CHVAR.spad" 162288 162310 164200 164205) (-146 "CHARZ.spad" 162203 162211 162268 162283) (-145 "CHARPOL.spad" 161711 161721 162193 162198) (-144 "CHARNZ.spad" 161464 161472 161691 161706) (-143 "CHAR.spad" 159332 159340 161454 161459) (-142 "CFCAT.spad" 158648 158656 159322 159327) (-141 "CDEN.spad" 157806 157820 158638 158643) (-140 "CCLASS.spad" 155955 155963 157217 157256) (-139 "CATEGORY.spad" 155045 155053 155945 155950) (-138 "CATCTOR.spad" 154936 154944 155035 155040) (-137 "CATAST.spad" 154563 154571 154926 154931) (-136 "CASEAST.spad" 154277 154285 154553 154558) (-135 "CARTEN.spad" 149380 149404 154267 154272) (-134 "CARTEN2.spad" 148766 148793 149370 149375) (-133 "CARD.spad" 146055 146063 148740 148761) (-132 "CAPSLAST.spad" 145829 145837 146045 146050) (-131 "CACHSET.spad" 145451 145459 145819 145824) (-130 "CABMON.spad" 145004 145012 145441 145446) (-129 "BYTE.spad" 144325 144333 144994 144999) (-128 "BYTEBUF.spad" 142157 142165 143494 143521) (-127 "BTREE.spad" 141226 141236 141764 141791) (-126 "BTOURN.spad" 140229 140239 140833 140860) (-125 "BTCAT.spad" 139617 139627 140197 140224) (-124 "BTCAT.spad" 139025 139037 139607 139612) (-123 "BTAGG.spad" 138147 138155 138993 139020) (-122 "BTAGG.spad" 137289 137299 138137 138142) (-121 "BSTREE.spad" 136024 136034 136896 136923) (-120 "BRILL.spad" 134219 134230 136014 136019) (-119 "BRAGG.spad" 133143 133153 134209 134214) (-118 "BRAGG.spad" 132031 132043 133099 133104) (-117 "BPADICRT.spad" 130012 130024 130267 130360) (-116 "BPADIC.spad" 129676 129688 129938 130007) (-115 "BOUNDZRO.spad" 129332 129349 129666 129671) (-114 "BOP.spad" 124796 124804 129322 129327) (-113 "BOP1.spad" 122182 122192 124752 124757) (-112 "BOOLEAN.spad" 121506 121514 122172 122177) (-111 "BMODULE.spad" 121218 121230 121474 121501) (-110 "BITS.spad" 120637 120645 120854 120881) (-109 "BINDING.spad" 120056 120064 120627 120632) (-108 "BINARY.spad" 118167 118175 118523 118616) (-107 "BGAGG.spad" 117364 117374 118147 118162) (-106 "BGAGG.spad" 116569 116581 117354 117359) (-105 "BFUNCT.spad" 116133 116141 116549 116564) (-104 "BEZOUT.spad" 115267 115294 116083 116088) (-103 "BBTREE.spad" 112086 112096 114874 114901) (-102 "BASTYPE.spad" 111758 111766 112076 112081) (-101 "BASTYPE.spad" 111428 111438 111748 111753) (-100 "BALFACT.spad" 110867 110880 111418 111423) (-99 "AUTOMOR.spad" 110314 110323 110847 110862) (-98 "ATTREG.spad" 107033 107040 110066 110309) (-97 "ATTRBUT.spad" 103056 103063 107013 107028) (-96 "ATTRAST.spad" 102773 102780 103046 103051) (-95 "ATRIG.spad" 102243 102250 102763 102768) (-94 "ATRIG.spad" 101711 101720 102233 102238) (-93 "ASTCAT.spad" 101615 101622 101701 101706) (-92 "ASTCAT.spad" 101517 101526 101605 101610) (-91 "ASTACK.spad" 100850 100859 101124 101151) (-90 "ASSOCEQ.spad" 99650 99661 100806 100811) (-89 "ASP9.spad" 98731 98744 99640 99645) (-88 "ASP8.spad" 97774 97787 98721 98726) (-87 "ASP80.spad" 97096 97109 97764 97769) (-86 "ASP7.spad" 96256 96269 97086 97091) (-85 "ASP78.spad" 95707 95720 96246 96251) (-84 "ASP77.spad" 95076 95089 95697 95702) (-83 "ASP74.spad" 94168 94181 95066 95071) (-82 "ASP73.spad" 93439 93452 94158 94163) (-81 "ASP6.spad" 92306 92319 93429 93434) (-80 "ASP55.spad" 90815 90828 92296 92301) (-79 "ASP50.spad" 88632 88645 90805 90810) (-78 "ASP4.spad" 87927 87940 88622 88627) (-77 "ASP49.spad" 86926 86939 87917 87922) (-76 "ASP42.spad" 85333 85372 86916 86921) (-75 "ASP41.spad" 83912 83951 85323 85328) (-74 "ASP35.spad" 82900 82913 83902 83907) (-73 "ASP34.spad" 82201 82214 82890 82895) (-72 "ASP33.spad" 81761 81774 82191 82196) (-71 "ASP31.spad" 80901 80914 81751 81756) (-70 "ASP30.spad" 79793 79806 80891 80896) (-69 "ASP29.spad" 79259 79272 79783 79788) (-68 "ASP28.spad" 70532 70545 79249 79254) (-67 "ASP27.spad" 69429 69442 70522 70527) (-66 "ASP24.spad" 68516 68529 69419 69424) (-65 "ASP20.spad" 67980 67993 68506 68511) (-64 "ASP1.spad" 67361 67374 67970 67975) (-63 "ASP19.spad" 62047 62060 67351 67356) (-62 "ASP12.spad" 61461 61474 62037 62042) (-61 "ASP10.spad" 60732 60745 61451 61456) (-60 "ARRAY2.spad" 60092 60101 60339 60366) (-59 "ARRAY1.spad" 58927 58936 59275 59302) (-58 "ARRAY12.spad" 57596 57607 58917 58922) (-57 "ARR2CAT.spad" 53258 53279 57564 57591) (-56 "ARR2CAT.spad" 48940 48963 53248 53253) (-55 "ARITY.spad" 48508 48515 48930 48935) (-54 "APPRULE.spad" 47752 47774 48498 48503) (-53 "APPLYORE.spad" 47367 47380 47742 47747) (-52 "ANY.spad" 45709 45716 47357 47362) (-51 "ANY1.spad" 44780 44789 45699 45704) (-50 "ANTISYM.spad" 43219 43235 44760 44775) (-49 "ANON.spad" 42916 42923 43209 43214) (-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
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1035382) (-642 "LODEEF.spad" 1033835 1033853 1035053 1035058) (-641 "LNAGG.spad" 1029637 1029647 1033825 1033830) (-640 "LNAGG.spad" 1025403 1025415 1029593 1029598) (-639 "LMOPS.spad" 1022139 1022156 1025393 1025398) (-638 "LMODULE.spad" 1021781 1021791 1022129 1022134) (-637 "LMDICT.spad" 1021064 1021074 1021332 1021359) (-636 "LITERAL.spad" 1020970 1020981 1021054 1021059) (-635 "LIST.spad" 1018688 1018698 1020117 1020144) (-634 "LIST3.spad" 1017979 1017993 1018678 1018683) (-633 "LIST2.spad" 1016619 1016631 1017969 1017974) (-632 "LIST2MAP.spad" 1013496 1013508 1016609 1016614) (-631 "LINEXP.spad" 1012928 1012938 1013476 1013491) (-630 "LINDEP.spad" 1011705 1011717 1012840 1012845) (-629 "LIMITRF.spad" 1009619 1009629 1011695 1011700) (-628 "LIMITPS.spad" 1008502 1008515 1009609 1009614) (-627 "LIE.spad" 1006516 1006528 1007792 1007937) (-626 "LIECAT.spad" 1005992 1006002 1006442 1006511) (-625 "LIECAT.spad" 1005496 1005508 1005948 1005953) (-624 "LIB.spad" 1003544 1003552 1004155 1004170) (-623 "LGROBP.spad" 1000897 1000916 1003534 1003539) (-622 "LF.spad" 999816 999832 1000887 1000892) (-621 "LFCAT.spad" 998835 998843 999806 999811) (-620 "LEXTRIPK.spad" 994338 994353 998825 998830) (-619 "LEXP.spad" 992341 992368 994318 994333) (-618 "LETAST.spad" 992040 992048 992331 992336) (-617 "LEADCDET.spad" 990424 990441 992030 992035) (-616 "LAZM3PK.spad" 989128 989150 990414 990419) (-615 "LAUPOL.spad" 987817 987830 988721 988790) (-614 "LAPLACE.spad" 987390 987406 987807 987812) (-613 "LA.spad" 986830 986844 987312 987351) (-612 "LALG.spad" 986606 986616 986810 986825) (-611 "LALG.spad" 986390 986402 986596 986601) (-610 "KVTFROM.spad" 986125 986135 986380 986385) (-609 "KTVLOGIC.spad" 985548 985556 986115 986120) (-608 "KRCFROM.spad" 985286 985296 985538 985543) (-607 "KOVACIC.spad" 983999 984016 985276 985281) (-606 "KONVERT.spad" 983721 983731 983989 983994) (-605 "KOERCE.spad" 983458 983468 983711 983716) (-604 "KERNEL.spad" 981993 982003 983242 983247) (-603 "KERNEL2.spad" 981696 981708 981983 981988) (-602 "KDAGG.spad" 980799 980821 981676 981691) (-601 "KDAGG.spad" 979910 979934 980789 980794) (-600 "KAFILE.spad" 978873 978889 979108 979135) (-599 "JORDAN.spad" 976700 976712 978163 978308) (-598 "JOINAST.spad" 976394 976402 976690 976695) (-597 "JAVACODE.spad" 976260 976268 976384 976389) (-596 "IXAGG.spad" 974383 974407 976250 976255) (-595 "IXAGG.spad" 972361 972387 974230 974235) (-594 "IVECTOR.spad" 971132 971147 971287 971314) (-593 "ITUPLE.spad" 970277 970287 971122 971127) (-592 "ITRIGMNP.spad" 969088 969107 970267 970272) (-591 "ITFUN3.spad" 968582 968596 969078 969083) (-590 "ITFUN2.spad" 968312 968324 968572 968577) (-589 "ITAYLOR.spad" 966104 966119 968148 968273) (-588 "ISUPS.spad" 958515 958530 965078 965175) (-587 "ISUMP.spad" 958012 958028 958505 958510) (-586 "ISTRING.spad" 957015 957028 957181 957208) (-585 "ISAST.spad" 956734 956742 957005 957010) (-584 "IRURPK.spad" 955447 955466 956724 956729) (-583 "IRSN.spad" 953407 953415 955437 955442) (-582 "IRRF2F.spad" 951882 951892 953363 953368) (-581 "IRREDFFX.spad" 951483 951494 951872 951877) (-580 "IROOT.spad" 949814 949824 951473 951478) (-579 "IR.spad" 947603 947617 949669 949696) (-578 "IR2.spad" 946623 946639 947593 947598) (-577 "IR2F.spad" 945823 945839 946613 946618) (-576 "IPRNTPK.spad" 945583 945591 945813 945818) (-575 "IPF.spad" 945148 945160 945388 945481) (-574 "IPADIC.spad" 944909 944935 945074 945143) (-573 "IP4ADDR.spad" 944457 944465 944899 944904) (-572 "IOMODE.spad" 944078 944086 944447 944452) (-571 "IOBFILE.spad" 943439 943447 944068 944073) (-570 "IOBCON.spad" 943304 943312 943429 943434) (-569 "INVLAPLA.spad" 942949 942965 943294 943299) (-568 "INTTR.spad" 936195 936212 942939 942944) (-567 "INTTOOLS.spad" 933906 933922 935769 935774) (-566 "INTSLPE.spad" 933212 933220 933896 933901) (-565 "INTRVL.spad" 932778 932788 933126 933207) (-564 "INTRF.spad" 931142 931156 932768 932773) (-563 "INTRET.spad" 930574 930584 931132 931137) (-562 "INTRAT.spad" 929249 929266 930564 930569) (-561 "INTPM.spad" 927612 927628 928892 928897) (-560 "INTPAF.spad" 925380 925398 927544 927549) (-559 "INTPACK.spad" 915690 915698 925370 925375) (-558 "INT.spad" 915051 915059 915544 915685) (-557 "INTHERTR.spad" 914317 914334 915041 915046) (-556 "INTHERAL.spad" 913983 914007 914307 914312) (-555 "INTHEORY.spad" 910396 910404 913973 913978) (-554 "INTG0.spad" 903859 903877 910328 910333) (-553 "INTFTBL.spad" 897888 897896 903849 903854) (-552 "INTFACT.spad" 896947 896957 897878 897883) (-551 "INTEF.spad" 895262 895278 896937 896942) (-550 "INTDOM.spad" 893877 893885 895188 895257) (-549 "INTDOM.spad" 892554 892564 893867 893872) (-548 "INTCAT.spad" 890807 890817 892468 892549) (-547 "INTBIT.spad" 890310 890318 890797 890802) (-546 "INTALG.spad" 889492 889519 890300 890305) (-545 "INTAF.spad" 888984 889000 889482 889487) (-544 "INTABL.spad" 887502 887533 887665 887692) (-543 "INS.spad" 884969 884977 887404 887497) (-542 "INS.spad" 882522 882532 884959 884964) (-541 "INPSIGN.spad" 881956 881969 882512 882517) (-540 "INPRODPF.spad" 881022 881041 881946 881951) (-539 "INPRODFF.spad" 880080 880104 881012 881017) (-538 "INNMFACT.spad" 879051 879068 880070 880075) (-537 "INMODGCD.spad" 878535 878565 879041 879046) (-536 "INFSP.spad" 876820 876842 878525 878530) (-535 "INFPROD0.spad" 875870 875889 876810 876815) (-534 "INFORM.spad" 873031 873039 875860 875865) (-533 "INFORM1.spad" 872656 872666 873021 873026) (-532 "INFINITY.spad" 872208 872216 872646 872651) (-531 "INETCLTS.spad" 872185 872193 872198 872203) (-530 "INEP.spad" 870717 870739 872175 872180) (-529 "INDE.spad" 870446 870463 870707 870712) (-528 "INCRMAPS.spad" 869867 869877 870436 870441) (-527 "INBFILE.spad" 868939 868947 869857 869862) (-526 "INBFF.spad" 864709 864720 868929 868934) (-525 "INBCON.spad" 863953 863961 864699 864704) (-524 "INBCON.spad" 863195 863205 863943 863948) (-523 "INAST.spad" 862860 862868 863185 863190) (-522 "IMPTAST.spad" 862568 862576 862850 862855) (-521 "IMATRIX.spad" 861513 861539 862025 862052) (-520 "IMATQF.spad" 860607 860651 861469 861474) (-519 "IMATLIN.spad" 859212 859236 860563 860568) (-518 "ILIST.spad" 857868 857883 858395 858422) (-517 "IIARRAY2.spad" 857256 857294 857475 857502) (-516 "IFF.spad" 856666 856682 856937 857030) (-515 "IFAST.spad" 856280 856288 856656 856661) (-514 "IFARRAY.spad" 853767 853782 855463 855490) (-513 "IFAMON.spad" 853629 853646 853723 853728) (-512 "IEVALAB.spad" 853018 853030 853619 853624) (-511 "IEVALAB.spad" 852405 852419 853008 853013) (-510 "IDPO.spad" 852203 852215 852395 852400) (-509 "IDPOAMS.spad" 851959 851971 852193 852198) (-508 "IDPOAM.spad" 851679 851691 851949 851954) (-507 "IDPC.spad" 850613 850625 851669 851674) (-506 "IDPAM.spad" 850358 850370 850603 850608) (-505 "IDPAG.spad" 850105 850117 850348 850353) (-504 "IDENT.spad" 849877 849885 850095 850100) (-503 "IDECOMP.spad" 847114 847132 849867 849872) (-502 "IDEAL.spad" 842037 842076 847049 847054) (-501 "ICDEN.spad" 841188 841204 842027 842032) (-500 "ICARD.spad" 840377 840385 841178 841183) (-499 "IBPTOOLS.spad" 838970 838987 840367 840372) (-498 "IBITS.spad" 838169 838182 838606 838633) (-497 "IBATOOL.spad" 835044 835063 838159 838164) (-496 "IBACHIN.spad" 833531 833546 835034 835039) (-495 "IARRAY2.spad" 832519 832545 833138 833165) (-494 "IARRAY1.spad" 831564 831579 831702 831729) (-493 "IAN.spad" 829777 829785 831380 831473) (-492 "IALGFACT.spad" 829378 829411 829767 829772) (-491 "HYPCAT.spad" 828802 828810 829368 829373) (-490 "HYPCAT.spad" 828224 828234 828792 828797) (-489 "HOSTNAME.spad" 828032 828040 828214 828219) (-488 "HOMOTOP.spad" 827775 827785 828022 828027) (-487 "HOAGG.spad" 825043 825053 827765 827770) (-486 "HOAGG.spad" 822086 822098 824810 824815) (-485 "HEXADEC.spad" 820188 820196 820553 820646) (-484 "HEUGCD.spad" 819203 819214 820178 820183) (-483 "HELLFDIV.spad" 818793 818817 819193 819198) (-482 "HEAP.spad" 818185 818195 818400 818427) (-481 "HEADAST.spad" 817716 817724 818175 818180) (-480 "HDP.spad" 807559 807575 807936 808067) (-479 "HDMP.spad" 804735 804750 805353 805480) (-478 "HB.spad" 802972 802980 804725 804730) (-477 "HASHTBL.spad" 801442 801473 801653 801680) (-476 "HASAST.spad" 801158 801166 801432 801437) (-475 "HACKPI.spad" 800641 800649 801060 801153) (-474 "GTSET.spad" 799580 799596 800287 800314) (-473 "GSTBL.spad" 798099 798134 798273 798288) (-472 "GSERIES.spad" 795266 795293 796231 796380) (-471 "GROUP.spad" 794535 794543 795246 795261) (-470 "GROUP.spad" 793812 793822 794525 794530) (-469 "GROEBSOL.spad" 792300 792321 793802 793807) (-468 "GRMOD.spad" 790871 790883 792290 792295) (-467 "GRMOD.spad" 789440 789454 790861 790866) (-466 "GRIMAGE.spad" 782045 782053 789430 789435) (-465 "GRDEF.spad" 780424 780432 782035 782040) (-464 "GRAY.spad" 778883 778891 780414 780419) (-463 "GRALG.spad" 777930 777942 778873 778878) (-462 "GRALG.spad" 776975 776989 777920 777925) (-461 "GPOLSET.spad" 776429 776452 776657 776684) (-460 "GOSPER.spad" 775694 775712 776419 776424) (-459 "GMODPOL.spad" 774832 774859 775662 775689) (-458 "GHENSEL.spad" 773901 773915 774822 774827) (-457 "GENUPS.spad" 770002 770015 773891 773896) (-456 "GENUFACT.spad" 769579 769589 769992 769997) (-455 "GENPGCD.spad" 769163 769180 769569 769574) (-454 "GENMFACT.spad" 768615 768634 769153 769158) (-453 "GENEEZ.spad" 766554 766567 768605 768610) (-452 "GDMP.spad" 763572 763589 764348 764475) (-451 "GCNAALG.spad" 757467 757494 763366 763433) (-450 "GCDDOM.spad" 756639 756647 757393 757462) (-449 "GCDDOM.spad" 755873 755883 756629 756634) (-448 "GB.spad" 753391 753429 755829 755834) (-447 "GBINTERN.spad" 749411 749449 753381 753386) (-446 "GBF.spad" 745168 745206 749401 749406) (-445 "GBEUCLID.spad" 743042 743080 745158 745163) (-444 "GAUSSFAC.spad" 742339 742347 743032 743037) (-443 "GALUTIL.spad" 740661 740671 742295 742300) (-442 "GALPOLYU.spad" 739107 739120 740651 740656) (-441 "GALFACTU.spad" 737272 737291 739097 739102) (-440 "GALFACT.spad" 727405 727416 737262 737267) (-439 "FVFUN.spad" 724428 724436 727395 727400) (-438 "FVC.spad" 723480 723488 724418 724423) (-437 "FUNCTION.spad" 723329 723341 723470 723475) (-436 "FT.spad" 721622 721630 723319 723324) (-435 "FTEM.spad" 720785 720793 721612 721617) (-434 "FSUPFACT.spad" 719685 719704 720721 720726) (-433 "FST.spad" 717771 717779 719675 719680) (-432 "FSRED.spad" 717249 717265 717761 717766) (-431 "FSPRMELT.spad" 716073 716089 717206 717211) (-430 "FSPECF.spad" 714150 714166 716063 716068) (-429 "FS.spad" 708212 708222 713925 714145) (-428 "FS.spad" 702052 702064 707767 707772) (-427 "FSINT.spad" 701710 701726 702042 702047) (-426 "FSERIES.spad" 700897 700909 701530 701629) (-425 "FSCINT.spad" 700210 700226 700887 700892) (-424 "FSAGG.spad" 699327 699337 700166 700205) (-423 "FSAGG.spad" 698406 698418 699247 699252) (-422 "FSAGG2.spad" 697105 697121 698396 698401) (-421 "FS2UPS.spad" 691588 691622 697095 697100) (-420 "FS2.spad" 691233 691249 691578 691583) (-419 "FS2EXPXP.spad" 690356 690379 691223 691228) (-418 "FRUTIL.spad" 689298 689308 690346 690351) (-417 "FR.spad" 682992 683002 688322 688391) (-416 "FRNAALG.spad" 678079 678089 682934 682987) (-415 "FRNAALG.spad" 673178 673190 678035 678040) (-414 "FRNAAF2.spad" 672632 672650 673168 673173) (-413 "FRMOD.spad" 672026 672056 672563 672568) (-412 "FRIDEAL.spad" 671221 671242 672006 672021) (-411 "FRIDEAL2.spad" 670823 670855 671211 671216) (-410 "FRETRCT.spad" 670334 670344 670813 670818) (-409 "FRETRCT.spad" 669711 669723 670192 670197) (-408 "FRAMALG.spad" 668039 668052 669667 669706) (-407 "FRAMALG.spad" 666399 666414 668029 668034) (-406 "FRAC.spad" 663498 663508 663901 664074) (-405 "FRAC2.spad" 663101 663113 663488 663493) (-404 "FR2.spad" 662435 662447 663091 663096) (-403 "FPS.spad" 659244 659252 662325 662430) (-402 "FPS.spad" 656081 656091 659164 659169) (-401 "FPC.spad" 655123 655131 655983 656076) (-400 "FPC.spad" 654251 654261 655113 655118) (-399 "FPATMAB.spad" 654013 654023 654241 654246) (-398 "FPARFRAC.spad" 652486 652503 654003 654008) (-397 "FORTRAN.spad" 650992 651035 652476 652481) (-396 "FORT.spad" 649921 649929 650982 650987) (-395 "FORTFN.spad" 647091 647099 649911 649916) (-394 "FORTCAT.spad" 646775 646783 647081 647086) (-393 "FORMULA.spad" 644239 644247 646765 646770) (-392 "FORMULA1.spad" 643718 643728 644229 644234) (-391 "FORDER.spad" 643409 643433 643708 643713) (-390 "FOP.spad" 642610 642618 643399 643404) (-389 "FNLA.spad" 642034 642056 642578 642605) (-388 "FNCAT.spad" 640621 640629 642024 642029) (-387 "FNAME.spad" 640513 640521 640611 640616) (-386 "FMTC.spad" 640311 640319 640439 640508) (-385 "FMONOID.spad" 637366 637376 640267 640272) (-384 "FM.spad" 637061 637073 637300 637327) (-383 "FMFUN.spad" 634091 634099 637051 637056) (-382 "FMC.spad" 633143 633151 634081 634086) (-381 "FMCAT.spad" 630797 630815 633111 633138) (-380 "FM1.spad" 630154 630166 630731 630758) (-379 "FLOATRP.spad" 627875 627889 630144 630149) (-378 "FLOAT.spad" 621163 621171 627741 627870) (-377 "FLOATCP.spad" 618580 618594 621153 621158) (-376 "FLINEXP.spad" 618292 618302 618560 618575) (-375 "FLINEXP.spad" 617958 617970 618228 618233) (-374 "FLASORT.spad" 617278 617290 617948 617953) (-373 "FLALG.spad" 614924 614943 617204 617273) (-372 "FLAGG.spad" 611942 611952 614904 614919) (-371 "FLAGG.spad" 608861 608873 611825 611830) (-370 "FLAGG2.spad" 607542 607558 608851 608856) (-369 "FINRALG.spad" 605571 605584 607498 607537) (-368 "FINRALG.spad" 603526 603541 605455 605460) (-367 "FINITE.spad" 602678 602686 603516 603521) (-366 "FINAALG.spad" 591659 591669 602620 602673) (-365 "FINAALG.spad" 580652 580664 591615 591620) (-364 "FILE.spad" 580235 580245 580642 580647) (-363 "FILECAT.spad" 578753 578770 580225 580230) (-362 "FIELD.spad" 578159 578167 578655 578748) (-361 "FIELD.spad" 577651 577661 578149 578154) (-360 "FGROUP.spad" 576260 576270 577631 577646) (-359 "FGLMICPK.spad" 575047 575062 576250 576255) (-358 "FFX.spad" 574422 574437 574763 574856) (-357 "FFSLPE.spad" 573911 573932 574412 574417) (-356 "FFPOLY.spad" 565163 565174 573901 573906) (-355 "FFPOLY2.spad" 564223 564240 565153 565158) (-354 "FFP.spad" 563620 563640 563939 564032) (-353 "FF.spad" 563068 563084 563301 563394) (-352 "FFNBX.spad" 561580 561600 562784 562877) (-351 "FFNBP.spad" 560093 560110 561296 561389) (-350 "FFNB.spad" 558558 558579 559774 559867) (-349 "FFINTBAS.spad" 555972 555991 558548 558553) (-348 "FFIELDC.spad" 553547 553555 555874 555967) (-347 "FFIELDC.spad" 551208 551218 553537 553542) (-346 "FFHOM.spad" 549956 549973 551198 551203) (-345 "FFF.spad" 547391 547402 549946 549951) (-344 "FFCGX.spad" 546238 546258 547107 547200) (-343 "FFCGP.spad" 545127 545147 545954 546047) (-342 "FFCG.spad" 543919 543940 544808 544901) (-341 "FFCAT.spad" 536946 536968 543758 543914) (-340 "FFCAT.spad" 530052 530076 536866 536871) (-339 "FFCAT2.spad" 529797 529837 530042 530047) (-338 "FEXPR.spad" 521506 521552 529553 529592) (-337 "FEVALAB.spad" 521212 521222 521496 521501) (-336 "FEVALAB.spad" 520703 520715 520989 520994) (-335 "FDIV.spad" 520145 520169 520693 520698) (-334 "FDIVCAT.spad" 518187 518211 520135 520140) (-333 "FDIVCAT.spad" 516227 516253 518177 518182) (-332 "FDIV2.spad" 515881 515921 516217 516222) (-331 "FCPAK1.spad" 514434 514442 515871 515876) (-330 "FCOMP.spad" 513813 513823 514424 514429) (-329 "FC.spad" 503728 503736 513803 513808) (-328 "FAXF.spad" 496663 496677 503630 503723) (-327 "FAXF.spad" 489650 489666 496619 496624) (-326 "FARRAY.spad" 487796 487806 488833 488860) (-325 "FAMR.spad" 485916 485928 487694 487791) (-324 "FAMR.spad" 484020 484034 485800 485805) (-323 "FAMONOID.spad" 483670 483680 483974 483979) (-322 "FAMONC.spad" 481892 481904 483660 483665) (-321 "FAGROUP.spad" 481498 481508 481788 481815) (-320 "FACUTIL.spad" 479694 479711 481488 481493) (-319 "FACTFUNC.spad" 478870 478880 479684 479689) (-318 "EXPUPXS.spad" 475703 475726 477002 477151) (-317 "EXPRTUBE.spad" 472931 472939 475693 475698) (-316 "EXPRODE.spad" 469803 469819 472921 472926) (-315 "EXPR.spad" 465078 465088 465792 466199) (-314 "EXPR2UPS.spad" 461170 461183 465068 465073) (-313 "EXPR2.spad" 460873 460885 461160 461165) (-312 "EXPEXPAN.spad" 457811 457836 458445 458538) (-311 "EXIT.spad" 457482 457490 457801 457806) (-310 "EXITAST.spad" 457218 457226 457472 457477) (-309 "EVALCYC.spad" 456676 456690 457208 457213) (-308 "EVALAB.spad" 456240 456250 456666 456671) (-307 "EVALAB.spad" 455802 455814 456230 456235) (-306 "EUCDOM.spad" 453344 453352 455728 455797) (-305 "EUCDOM.spad" 450948 450958 453334 453339) (-304 "ESTOOLS.spad" 442788 442796 450938 450943) (-303 "ESTOOLS2.spad" 442389 442403 442778 442783) (-302 "ESTOOLS1.spad" 442074 442085 442379 442384) (-301 "ES.spad" 434621 434629 442064 442069) (-300 "ES.spad" 427074 427084 434519 434524) (-299 "ESCONT.spad" 423847 423855 427064 427069) (-298 "ESCONT1.spad" 423596 423608 423837 423842) (-297 "ES2.spad" 423091 423107 423586 423591) (-296 "ES1.spad" 422657 422673 423081 423086) (-295 "ERROR.spad" 419978 419986 422647 422652) (-294 "EQTBL.spad" 418450 418472 418659 418686) (-293 "EQ.spad" 413324 413334 416123 416235) (-292 "EQ2.spad" 413040 413052 413314 413319) (-291 "EP.spad" 409354 409364 413030 413035) (-290 "ENV.spad" 408056 408064 409344 409349) (-289 "ENTIRER.spad" 407724 407732 408000 408051) (-288 "EMR.spad" 406925 406966 407650 407719) (-287 "ELTAGG.spad" 405165 405184 406915 406920) (-286 "ELTAGG.spad" 403369 403390 405121 405126) (-285 "ELTAB.spad" 402816 402834 403359 403364) (-284 "ELFUTS.spad" 402195 402214 402806 402811) (-283 "ELEMFUN.spad" 401884 401892 402185 402190) (-282 "ELEMFUN.spad" 401571 401581 401874 401879) (-281 "ELAGG.spad" 399514 399524 401551 401566) (-280 "ELAGG.spad" 397394 397406 399433 399438) (-279 "ELABEXPR.spad" 396325 396333 397384 397389) (-278 "EFUPXS.spad" 393101 393131 396281 396286) (-277 "EFULS.spad" 389937 389960 393057 393062) (-276 "EFSTRUC.spad" 387892 387908 389927 389932) (-275 "EF.spad" 382658 382674 387882 387887) (-274 "EAB.spad" 380934 380942 382648 382653) (-273 "E04UCFA.spad" 380470 380478 380924 380929) (-272 "E04NAFA.spad" 380047 380055 380460 380465) (-271 "E04MBFA.spad" 379627 379635 380037 380042) (-270 "E04JAFA.spad" 379163 379171 379617 379622) (-269 "E04GCFA.spad" 378699 378707 379153 379158) (-268 "E04FDFA.spad" 378235 378243 378689 378694) (-267 "E04DGFA.spad" 377771 377779 378225 378230) (-266 "E04AGNT.spad" 373613 373621 377761 377766) (-265 "DVARCAT.spad" 370298 370308 373603 373608) (-264 "DVARCAT.spad" 366981 366993 370288 370293) (-263 "DSMP.spad" 364412 364426 364717 364844) (-262 "DROPT.spad" 358357 358365 364402 364407) (-261 "DROPT1.spad" 358020 358030 358347 358352) (-260 "DROPT0.spad" 352847 352855 358010 358015) (-259 "DRAWPT.spad" 351002 351010 352837 352842) (-258 "DRAW.spad" 343602 343615 350992 350997) (-257 "DRAWHACK.spad" 342910 342920 343592 343597) (-256 "DRAWCX.spad" 340352 340360 342900 342905) (-255 "DRAWCURV.spad" 339889 339904 340342 340347) (-254 "DRAWCFUN.spad" 329061 329069 339879 339884) (-253 "DQAGG.spad" 327229 327239 329029 329056) (-252 "DPOLCAT.spad" 322570 322586 327097 327224) (-251 "DPOLCAT.spad" 317997 318015 322526 322531) (-250 "DPMO.spad" 310223 310239 310361 310662) (-249 "DPMM.spad" 302462 302480 302587 302888) (-248 "DOMCTOR.spad" 302354 302362 302452 302457) (-247 "DOMAIN.spad" 301485 301493 302344 302349) (-246 "DMP.spad" 298707 298722 299279 299406) (-245 "DLP.spad" 298055 298065 298697 298702) (-244 "DLIST.spad" 296634 296644 297238 297265) (-243 "DLAGG.spad" 295045 295055 296624 296629) (-242 "DIVRING.spad" 294587 294595 294989 295040) (-241 "DIVRING.spad" 294173 294183 294577 294582) (-240 "DISPLAY.spad" 292353 292361 294163 294168) (-239 "DIRPROD.spad" 281933 281949 282573 282704) (-238 "DIRPROD2.spad" 280741 280759 281923 281928) (-237 "DIRPCAT.spad" 279683 279699 280605 280736) (-236 "DIRPCAT.spad" 278354 278372 279278 279283) (-235 "DIOSP.spad" 277179 277187 278344 278349) (-234 "DIOPS.spad" 276163 276173 277159 277174) (-233 "DIOPS.spad" 275121 275133 276119 276124) (-232 "DIFRING.spad" 274413 274421 275101 275116) (-231 "DIFRING.spad" 273713 273723 274403 274408) (-230 "DIFEXT.spad" 272872 272882 273693 273708) (-229 "DIFEXT.spad" 271948 271960 272771 272776) (-228 "DIAGG.spad" 271578 271588 271928 271943) (-227 "DIAGG.spad" 271216 271228 271568 271573) (-226 "DHMATRIX.spad" 269520 269530 270673 270700) (-225 "DFSFUN.spad" 262928 262936 269510 269515) (-224 "DFLOAT.spad" 259649 259657 262818 262923) (-223 "DFINTTLS.spad" 257858 257874 259639 259644) (-222 "DERHAM.spad" 255768 255800 257838 257853) (-221 "DEQUEUE.spad" 255086 255096 255375 255402) (-220 "DEGRED.spad" 254701 254715 255076 255081) (-219 "DEFINTRF.spad" 252226 252236 254691 254696) (-218 "DEFINTEF.spad" 250722 250738 252216 252221) (-217 "DEFAST.spad" 250090 250098 250712 250717) (-216 "DECIMAL.spad" 248196 248204 248557 248650) (-215 "DDFACT.spad" 245995 246012 248186 248191) (-214 "DBLRESP.spad" 245593 245617 245985 245990) (-213 "DBASE.spad" 244247 244257 245583 245588) (-212 "DATAARY.spad" 243709 243722 244237 244242) (-211 "D03FAFA.spad" 243537 243545 243699 243704) (-210 "D03EEFA.spad" 243357 243365 243527 243532) (-209 "D03AGNT.spad" 242437 242445 243347 243352) (-208 "D02EJFA.spad" 241899 241907 242427 242432) (-207 "D02CJFA.spad" 241377 241385 241889 241894) (-206 "D02BHFA.spad" 240867 240875 241367 241372) (-205 "D02BBFA.spad" 240357 240365 240857 240862) (-204 "D02AGNT.spad" 235161 235169 240347 240352) (-203 "D01WGTS.spad" 233480 233488 235151 235156) (-202 "D01TRNS.spad" 233457 233465 233470 233475) (-201 "D01GBFA.spad" 232979 232987 233447 233452) (-200 "D01FCFA.spad" 232501 232509 232969 232974) (-199 "D01ASFA.spad" 231969 231977 232491 232496) (-198 "D01AQFA.spad" 231415 231423 231959 231964) (-197 "D01APFA.spad" 230839 230847 231405 231410) (-196 "D01ANFA.spad" 230333 230341 230829 230834) (-195 "D01AMFA.spad" 229843 229851 230323 230328) (-194 "D01ALFA.spad" 229383 229391 229833 229838) (-193 "D01AKFA.spad" 228909 228917 229373 229378) (-192 "D01AJFA.spad" 228432 228440 228899 228904) (-191 "D01AGNT.spad" 224491 224499 228422 228427) (-190 "CYCLOTOM.spad" 223997 224005 224481 224486) (-189 "CYCLES.spad" 220829 220837 223987 223992) (-188 "CVMP.spad" 220246 220256 220819 220824) (-187 "CTRIGMNP.spad" 218736 218752 220236 220241) (-186 "CTOR.spad" 218636 218644 218726 218731) (-185 "CTORKIND.spad" 218239 218247 218626 218631) (-184 "CTORCAT.spad" 217694 217702 218229 218234) (-183 "CTORCAT.spad" 217147 217157 217684 217689) (-182 "CTORCALL.spad" 216727 216735 217137 217142) (-181 "CSTTOOLS.spad" 215970 215983 216717 216722) (-180 "CRFP.spad" 209674 209687 215960 215965) (-179 "CRCEAST.spad" 209394 209402 209664 209669) (-178 "CRAPACK.spad" 208437 208447 209384 209389) (-177 "CPMATCH.spad" 207937 207952 208362 208367) (-176 "CPIMA.spad" 207642 207661 207927 207932) (-175 "COORDSYS.spad" 202535 202545 207632 207637) (-174 "CONTOUR.spad" 201937 201945 202525 202530) (-173 "CONTFRAC.spad" 197549 197559 201839 201932) (-172 "CONDUIT.spad" 197307 197315 197539 197544) (-171 "COMRING.spad" 196981 196989 197245 197302) (-170 "COMPPROP.spad" 196495 196503 196971 196976) (-169 "COMPLPAT.spad" 196262 196277 196485 196490) (-168 "COMPLEX.spad" 190298 190308 190542 190791) (-167 "COMPLEX2.spad" 190011 190023 190288 190293) (-166 "COMPFACT.spad" 189613 189627 190001 190006) (-165 "COMPCAT.spad" 187751 187761 189359 189608) (-164 "COMPCAT.spad" 185570 185582 187180 187185) (-163 "COMMUPC.spad" 185316 185334 185560 185565) (-162 "COMMONOP.spad" 184849 184857 185306 185311) (-161 "COMM.spad" 184658 184666 184839 184844) (-160 "COMMAAST.spad" 184421 184429 184648 184653) (-159 "COMBOPC.spad" 183326 183334 184411 184416) (-158 "COMBINAT.spad" 182071 182081 183316 183321) (-157 "COMBF.spad" 179439 179455 182061 182066) (-156 "COLOR.spad" 178276 178284 179429 179434) (-155 "COLONAST.spad" 177942 177950 178266 178271) (-154 "CMPLXRT.spad" 177651 177668 177932 177937) (-153 "CLLCTAST.spad" 177313 177321 177641 177646) (-152 "CLIP.spad" 173405 173413 177303 177308) (-151 "CLIF.spad" 172044 172060 173361 173400) (-150 "CLAGG.spad" 168529 168539 172034 172039) (-149 "CLAGG.spad" 164885 164897 168392 168397) (-148 "CINTSLPE.spad" 164210 164223 164875 164880) (-147 "CHVAR.spad" 162288 162310 164200 164205) (-146 "CHARZ.spad" 162203 162211 162268 162283) (-145 "CHARPOL.spad" 161711 161721 162193 162198) (-144 "CHARNZ.spad" 161464 161472 161691 161706) (-143 "CHAR.spad" 159332 159340 161454 161459) (-142 "CFCAT.spad" 158648 158656 159322 159327) (-141 "CDEN.spad" 157806 157820 158638 158643) (-140 "CCLASS.spad" 155955 155963 157217 157256) (-139 "CATEGORY.spad" 155045 155053 155945 155950) (-138 "CATCTOR.spad" 154936 154944 155035 155040) (-137 "CATAST.spad" 154563 154571 154926 154931) (-136 "CASEAST.spad" 154277 154285 154553 154558) (-135 "CARTEN.spad" 149380 149404 154267 154272) (-134 "CARTEN2.spad" 148766 148793 149370 149375) (-133 "CARD.spad" 146055 146063 148740 148761) (-132 "CAPSLAST.spad" 145829 145837 146045 146050) (-131 "CACHSET.spad" 145451 145459 145819 145824) (-130 "CABMON.spad" 145004 145012 145441 145446) (-129 "BYTE.spad" 144325 144333 144994 144999) (-128 "BYTEBUF.spad" 142157 142165 143494 143521) (-127 "BTREE.spad" 141226 141236 141764 141791) (-126 "BTOURN.spad" 140229 140239 140833 140860) (-125 "BTCAT.spad" 139617 139627 140197 140224) (-124 "BTCAT.spad" 139025 139037 139607 139612) (-123 "BTAGG.spad" 138147 138155 138993 139020) (-122 "BTAGG.spad" 137289 137299 138137 138142) (-121 "BSTREE.spad" 136024 136034 136896 136923) (-120 "BRILL.spad" 134219 134230 136014 136019) (-119 "BRAGG.spad" 133143 133153 134209 134214) (-118 "BRAGG.spad" 132031 132043 133099 133104) (-117 "BPADICRT.spad" 130012 130024 130267 130360) (-116 "BPADIC.spad" 129676 129688 129938 130007) (-115 "BOUNDZRO.spad" 129332 129349 129666 129671) (-114 "BOP.spad" 124796 124804 129322 129327) (-113 "BOP1.spad" 122182 122192 124752 124757) (-112 "BOOLEAN.spad" 121506 121514 122172 122177) (-111 "BMODULE.spad" 121218 121230 121474 121501) (-110 "BITS.spad" 120637 120645 120854 120881) (-109 "BINDING.spad" 120056 120064 120627 120632) (-108 "BINARY.spad" 118167 118175 118523 118616) (-107 "BGAGG.spad" 117364 117374 118147 118162) (-106 "BGAGG.spad" 116569 116581 117354 117359) (-105 "BFUNCT.spad" 116133 116141 116549 116564) (-104 "BEZOUT.spad" 115267 115294 116083 116088) (-103 "BBTREE.spad" 112086 112096 114874 114901) (-102 "BASTYPE.spad" 111758 111766 112076 112081) (-101 "BASTYPE.spad" 111428 111438 111748 111753) (-100 "BALFACT.spad" 110867 110880 111418 111423) (-99 "AUTOMOR.spad" 110314 110323 110847 110862) (-98 "ATTREG.spad" 107033 107040 110066 110309) (-97 "ATTRBUT.spad" 103056 103063 107013 107028) (-96 "ATTRAST.spad" 102773 102780 103046 103051) (-95 "ATRIG.spad" 102243 102250 102763 102768) (-94 "ATRIG.spad" 101711 101720 102233 102238) (-93 "ASTCAT.spad" 101615 101622 101701 101706) (-92 "ASTCAT.spad" 101517 101526 101605 101610) (-91 "ASTACK.spad" 100850 100859 101124 101151) (-90 "ASSOCEQ.spad" 99650 99661 100806 100811) (-89 "ASP9.spad" 98731 98744 99640 99645) (-88 "ASP8.spad" 97774 97787 98721 98726) (-87 "ASP80.spad" 97096 97109 97764 97769) (-86 "ASP7.spad" 96256 96269 97086 97091) (-85 "ASP78.spad" 95707 95720 96246 96251) (-84 "ASP77.spad" 95076 95089 95697 95702) (-83 "ASP74.spad" 94168 94181 95066 95071) (-82 "ASP73.spad" 93439 93452 94158 94163) (-81 "ASP6.spad" 92306 92319 93429 93434) (-80 "ASP55.spad" 90815 90828 92296 92301) (-79 "ASP50.spad" 88632 88645 90805 90810) (-78 "ASP4.spad" 87927 87940 88622 88627) (-77 "ASP49.spad" 86926 86939 87917 87922) (-76 "ASP42.spad" 85333 85372 86916 86921) (-75 "ASP41.spad" 83912 83951 85323 85328) (-74 "ASP35.spad" 82900 82913 83902 83907) (-73 "ASP34.spad" 82201 82214 82890 82895) (-72 "ASP33.spad" 81761 81774 82191 82196) (-71 "ASP31.spad" 80901 80914 81751 81756) (-70 "ASP30.spad" 79793 79806 80891 80896) (-69 "ASP29.spad" 79259 79272 79783 79788) (-68 "ASP28.spad" 70532 70545 79249 79254) (-67 "ASP27.spad" 69429 69442 70522 70527) (-66 "ASP24.spad" 68516 68529 69419 69424) (-65 "ASP20.spad" 67980 67993 68506 68511) (-64 "ASP1.spad" 67361 67374 67970 67975) (-63 "ASP19.spad" 62047 62060 67351 67356) (-62 "ASP12.spad" 61461 61474 62037 62042) (-61 "ASP10.spad" 60732 60745 61451 61456) (-60 "ARRAY2.spad" 60092 60101 60339 60366) (-59 "ARRAY1.spad" 58927 58936 59275 59302) (-58 "ARRAY12.spad" 57596 57607 58917 58922) (-57 "ARR2CAT.spad" 53258 53279 57564 57591) (-56 "ARR2CAT.spad" 48940 48963 53248 53253) (-55 "ARITY.spad" 48508 48515 48930 48935) (-54 "APPRULE.spad" 47752 47774 48498 48503) (-53 "APPLYORE.spad" 47367 47380 47742 47747) (-52 "ANY.spad" 45709 45716 47357 47362) (-51 "ANY1.spad" 44780 44789 45699 45704) (-50 "ANTISYM.spad" 43219 43235 44760 44775) (-49 "ANON.spad" 42916 42923 43209 43214) (-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