diff options
author | dos-reis <gdr@axiomatics.org> | 2011-03-09 21:09:56 +0000 |
---|---|---|
committer | dos-reis <gdr@axiomatics.org> | 2011-03-09 21:09:56 +0000 |
commit | ccd024277fb8eab4a8b22ed160f4da1609dd94e9 (patch) | |
tree | a2433cda3749f32855a7252949e4c6056e1893b4 | |
parent | bcff036777b4f79aa17513849fc0e0a2ee5f9099 (diff) | |
download | open-axiom-ccd024277fb8eab4a8b22ed160f4da1609dd94e9.tar.gz |
* algebra/catdef.spad.pamphlet (EuclideanDomain)
[expressIdealMember]: Now returns Maybe List %.
* algebra/Makefile.in: Tidy.
(axiom_algebra_bootstrap_last_layer): Remove.
-rw-r--r-- | src/ChangeLog | 7 | ||||
-rw-r--r-- | src/algebra/Makefile.in | 42 | ||||
-rw-r--r-- | src/algebra/catdef.spad.pamphlet | 12 | ||||
-rw-r--r-- | src/share/algebra/browse.daase | 390 | ||||
-rw-r--r-- | src/share/algebra/category.daase | 1574 | ||||
-rw-r--r-- | src/share/algebra/compress.daase | 1347 | ||||
-rw-r--r-- | src/share/algebra/interp.daase | 8912 | ||||
-rw-r--r-- | src/share/algebra/operation.daase | 25945 |
8 files changed, 19111 insertions, 19118 deletions
diff --git a/src/ChangeLog b/src/ChangeLog index cb7cff4e..a601f084 100644 --- a/src/ChangeLog +++ b/src/ChangeLog @@ -1,5 +1,12 @@ 2011-03-09 Gabriel Dos Reis <gdr@cs.tamu.edu> + * algebra/catdef.spad.pamphlet (EuclideanDomain) + [expressIdealMember]: Now returns Maybe List %. + * algebra/Makefile.in: Tidy. + (axiom_algebra_bootstrap_last_layer): Remove. + +2011-03-09 Gabriel Dos Reis <gdr@cs.tamu.edu> + * interp/g-opt.boot: %pair, %list, %vector, %bitvector are now considered side-effect free functions. * algebra/boolean.spad.pamphlet: Reflect change. diff --git a/src/algebra/Makefile.in b/src/algebra/Makefile.in index 721df237..554fbf18 100644 --- a/src/algebra/Makefile.in +++ b/src/algebra/Makefile.in @@ -689,28 +689,11 @@ TESTS=${INPUT}/INTHEORY.input ${INPUT}/VIEW2D.input ${INPUT}/TESTFR.input subdir = src/algebra/ +$(OUT)/SINT.$(FASLEXT): $(OUT)/INT.$(FASLEXT) +$(OUT)/NNI.$(FASLEXT): $(OUT)/INT.$(FASLEXT) +$(OUT)/PI.$(FASLEXT): $(OUT)/NNI.$(FASLEXT) -axiom_algebra_bootstrap_last_layer = \ - DFLOAT \ - DIVRING DIVRING- \ - EUCDOM EUCDOM- FFIELDC \ - FFIELDC- FPS FPS- \ - INS INS- INT \ - MTSCAT NNI \ - OUTFORM PI \ - POLYCAT POLYCAT- \ - QFCAT QFCAT- \ - RNS RNS- \ - SINT \ - SYMBOL \ - VECTOR - - -axiom_algebra_bootstrap_last_layer_objects = \ - $(addprefix $(OUT)/, \ - $(addsuffix .$(FASLEXT), $(axiom_algebra_bootstrap_last_layer))) - - +$(OUT)/TYPE.$(FASLEXT): $(OUT)/SINT.$(FASLEXT) $(OUT)/IEVALAB.$(FASLEXT): $(OUT)/TYPE.$(FASLEXT) $(OUT)/EVALAB.$(FASLEXT): $(OUT)/IEVALAB.$(FASLEXT) $(OUT)/ELTAB.$(FASLEXT): $(OUT)/TYPE.$(FASLEXT) @@ -791,8 +774,8 @@ $(OUT)/REAL.$(FASLEXT): $(OUT)/KONVERT.$(FASLEXT) $(OUT)/LOGIC.$(FASLEXT): $(OUT)/TYPE.$(FASLEXT) $(OUT)/BOOLE.$(FASLEXT): $(OUT)/LOGIC.$(FASLEXT) - -$(OUT)/SGROUP.$(FASLEXT) $(OUT)/SGROUP-.$(FASLEXT): $(OUT)/SETCAT.$(FASLEXT) +$(OUT)/SGROUP.$(FASLEXT) $(OUT)/SGROUP-.$(FASLEXT): $(OUT)/SETCAT.$(FASLEXT) \ + $(OUT)/PI.$(FASLEXT) $(OUT)/ABELSG.$(FASLEXT) $(OUT)/ABELSG-.$(FASLEXT): $(OUT)/SETCAT.$(FASLEXT) $(OUT)/LMODULE.$(FASLEXT): $(OUT)/SETCAT.$(FASLEXT) \ $(OUT)/LLINSET.$(FASLEXT) $(OUT)/SGROUP.$(FASLEXT) @@ -858,7 +841,11 @@ axiom_algebra_layer_0 = \ LINEXP PATMAB REAL CHARZ LOGIC LOGIC- \ RTVALUE SYSPTR PDDOM PDDOM- PDSPC PDSPC- \ DSEXT DSEXT- ORDTYPE ORDTYPE- ORDSTRCT \ - BOOLE BOOLE- REF ALIST PRIMARR SRING + BOOLE BOOLE- REF ALIST PRIMARR SRING \ + INS INS- DIVRING DIVRING- EUCDOM EUCDOM- \ + FPS FPS- RNS RNS- \ + POLYCAT POLYCAT- QFCAT QFCAT- \ + INT NNI PI SINT SYMBOL DFLOAT axiom_algebra_layer_0_nrlibs = \ $(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_0)) @@ -1156,7 +1143,7 @@ axiom_algebra_layer_11 = \ TS TUPLE UPSCAT UPSCAT- \ XDPOLY XEXPPKG \ XF XF- XPOLY \ - XRPOLY + XRPOLY FFIELDC FFIELDC- MTSCAT axiom_algebra_layer_11_nrlibs = \ $(addsuffix .NRLIB/code.$(FASLEXT),$(axiom_algebra_layer_11)) @@ -1190,7 +1177,7 @@ axiom_algebra_layer_13 = \ ODESYS ODETOOLS ORDFUNS PERMAN \ PFECAT PFECAT- POINT PSEUDLIN \ PTPACK REP2 SETMN \ - SYMFUNC VECTOR2 CHAR \ + SYMFUNC VECTOR2 VECTOR CHAR \ INBCON INBCON- OUTBCON OUTBCON- axiom_algebra_layer_13_nrlibs = \ @@ -1683,7 +1670,6 @@ $(axiom_algebra_layer_20_objects): 19-stamp $(axiom_algebra_layer_21_objects): 20-stamp $(axiom_algebra_layer_22_objects): 21-stamp $(axiom_algebra_layer_23_objects): 22-stamp -$(axiom_algebra_bootstrap_last_layer_objects): 23-stamp $(axiom_algebra_layer_user_objects): bootstrap-stamp .PHONY: all-algstrap @@ -1864,7 +1850,7 @@ strap-stamp: strap-2/.finished @ echo === layer 23 of 23 complete ====== @ echo ================================== -bootstrap-stamp: 23-stamp $(axiom_algebra_bootstrap_last_layer_objects) +bootstrap-stamp: 23-stamp @ rm -f bootstrap-stamp @ $(STAMP) bootstrap-stamp @ echo ================================== diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet index fe745809..2ca2216b 100644 --- a/src/algebra/catdef.spad.pamphlet +++ b/src/algebra/catdef.spad.pamphlet @@ -822,10 +822,10 @@ EuclideanDomain(): Category == PrincipalIdealDomain with u:= extendedEuclidean(first l,v.generator) [[u.coef1,:[u.coef2*vv for vv in v.coef]],u.generator] expressIdealMember(l,z) == - z = 0 => [0 for v in l] + z = 0 => just [0 for v in l] pid := principalIdeal l - (q := z exquo (pid.generator)) case "failed" => "failed" - [q*v for v in pid.coef] + (q := z exquo (pid.generator)) case "failed" => nothing + just [q*v for v in pid.coef] multiEuclidean(l,z) == n := #l zero? n => error "empty list passed to multiEuclidean" @@ -1765,9 +1765,9 @@ PrincipalIdealDomain(): Category == GcdDomain with ++ generator component is a generator of the ideal ++ generated by \spad{[f1,...,fn]} whose coef component satisfies ++ \spad{generator = sum (input.i * coef.i)} - expressIdealMember: (List %,%) -> Union(List %,"failed") - ++ expressIdealMember([f1,...,fn],h) returns a representation - ++ of h as a linear combination of the fi or "failed" if h + expressIdealMember: (List %,%) -> Maybe List % + ++ \spad{expressIdealMember([f1,...,fn],h)} returns a representation + ++ of h as a linear combination of the fi or \spad{nothing} if h ++ is not in the ideal generated by the fi. @ diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 02c34ec0..779c7d5b 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2294618 . 3508548018) +(2294614 . 3508691457) (-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 @@ -88,10 +88,10 @@ 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 \\spad{a1},{}...,{}an."))) NIL NIL -(-40 -1633 UP UPUP -1720) +(-40 -1633 UP UPUP -2336) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4502 |has| (-421 |#2|) (-376)) (-4507 |has| (-421 |#2|) (-376)) (-4501 |has| (-421 |#2|) (-376)) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-421 |#2|) (QUOTE (-147))) (|HasCategory| (-421 |#2|) (QUOTE (-149))) (|HasCategory| (-421 |#2|) (QUOTE (-363))) (-2215 (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-381))) (-2215 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2215 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2215 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-363))))) (-2215 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -660) (QUOTE (-560)))) (-2215 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) +((|HasCategory| (-421 |#2|) (QUOTE (-147))) (|HasCategory| (-421 |#2|) (QUOTE (-149))) (|HasCategory| (-421 |#2|) (QUOTE (-363))) (-2217 (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-381))) (-2217 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2217 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2217 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-363))))) (-2217 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -660) (QUOTE (-560)))) (-2217 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (-41 R -1633) ((|constructor| (NIL "AlgebraicManipulations provides functions to simplify and expand expressions involving algebraic operators.")) (|rootKerSimp| ((|#2| (|BasicOperator|) |#2| (|NonNegativeInteger|)) "\\spad{rootKerSimp(op,f,n)} should be local but conditional.")) (|rootSimp| ((|#2| |#2|) "\\spad{rootSimp(f)} transforms every radical of the form \\spad{(a * b**(q*n+r))**(1/n)} appearing in \\spad{f} into \\spad{b**q * (a * b**r)**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{b}.")) (|rootProduct| ((|#2| |#2|) "\\spad{rootProduct(f)} combines every product of the form \\spad{(a**(1/n))**m * (a**(1/s))**t} into a single power of a root of \\spad{a},{} and transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form.")) (|rootPower| ((|#2| |#2|) "\\spad{rootPower(f)} transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form if \\spad{m} and \\spad{n} have a common factor.")) (|ratPoly| (((|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{ratPoly(f)} returns a polynomial \\spad{p} such that \\spad{p} has no algebraic coefficients,{} and \\spad{p(f) = 0}.")) (|ratDenom| ((|#2| |#2| (|List| (|Kernel| |#2|))) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}'s which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}'s which are algebraic kernels from the denominators in \\spad{f}.") ((|#2| |#2| |#2|) "\\spad{ratDenom(f, a)} removes \\spad{a} from the denominators in \\spad{f} if \\spad{a} is an algebraic kernel.") ((|#2| |#2|) "\\spad{ratDenom(f)} rationalizes the denominators appearing in \\spad{f} by moving all the algebraic quantities into the numerators.")) (|rootSplit| ((|#2| |#2|) "\\spad{rootSplit(f)} transforms every radical of the form \\spad{(a/b)**(1/n)} appearing in \\spad{f} into \\spad{a**(1/n) / b**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{a} and \\spad{b}.")) (|coerce| (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(x)} \\undocumented")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(x)} \\undocumented")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(x)} \\undocumented"))) NIL @@ -111,7 +111,7 @@ NIL (-45 |Key| |Entry|) ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) ((-4509 . T) (-4510 . T)) -((-2215 (-12 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#2|))))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-871))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#2|))))))) +((-2217 (-12 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#2|))))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-871))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#2|))))))) (-46 S R E) ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) NIL @@ -163,7 +163,7 @@ NIL (-58 S) ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|NonNegativeInteger|) |#1|) "\\spad{oneDimensionalArray(n,s)} creates an array from \\spad{n} copies of element \\spad{s}") (($ (|List| |#1|)) "\\spad{oneDimensionalArray(l)} creates an array from a list of elements \\spad{l}"))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-59 A B) ((|constructor| (NIL "\\indented{1}{This package provides tools for operating on one-dimensional arrays} with unary and binary functions involving different underlying types")) (|map| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1|) (|OneDimensionalArray| |#1|)) "\\spad{map(f,a)} applies function \\spad{f} to each member of one-dimensional array \\spad{a} resulting in a new one-dimensional array over a possibly different underlying domain.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the one-dimensional array \\spad{a} and an accumulant initialized to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,[1,2,3],0)} does \\spad{3+(2+(1+0))}. Note: third argument \\spad{r} may be regarded as the identity element for the function \\spad{f}.")) (|scan| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-arrays \\spad{x} of one-dimensional array \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad{[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}."))) NIL @@ -171,64 +171,64 @@ NIL (-60 R) ((|constructor| (NIL "\\indented{1}{A TwoDimensionalArray is a two dimensional array with} 1-based indexing for both rows and columns.")) (|shallowlyMutable| ((|attribute|) "One may destructively alter TwoDimensionalArray's."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) -(-61 -3955) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +(-61 -3956) ((|constructor| (NIL "\\spadtype{Asp1} produces Fortran for Type 1 ASPs,{} needed for various NAG routines. Type 1 ASPs take a univariate expression (in the symbol \\spad{X}) and turn it into a Fortran Function like the following:\\begin{verbatim} DOUBLE PRECISION FUNCTION F(X) DOUBLE PRECISION X F=DSIN(X) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-62 -3955) +(-62 -3956) ((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. This ASP computes the values of a set of functions,{} for example:\\begin{verbatim} SUBROUTINE COEFFN(P,Q,DQDL,X,ELAM,JINT) DOUBLE PRECISION ELAM,P,Q,X,DQDL INTEGER JINT P=1.0D0 Q=((-1.0D0*X**3)+ELAM*X*X-2.0D0)/(X*X) DQDL=1.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-63 -3955) +(-63 -3956) ((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package} etc.,{} for example:\\begin{verbatim} SUBROUTINE MONIT (MAXIT,IFLAG,ELAM,FINFO) DOUBLE PRECISION ELAM,FINFO(15) INTEGER MAXIT,IFLAG IF(MAXIT.EQ.-1)THEN PRINT*,\"Output from Monit\" ENDIF PRINT*,MAXIT,IFLAG,ELAM,(FINFO(I),I=1,4) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}."))) NIL NIL -(-64 -3955) +(-64 -3956) ((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example:\\begin{verbatim} SUBROUTINE LSFUN2(M,N,XC,FVECC,FJACC,LJC) DOUBLE PRECISION FVECC(M),FJACC(LJC,N),XC(N) INTEGER M,N,LJC INTEGER I,J DO 25003 I=1,LJC DO 25004 J=1,N FJACC(I,J)=0.0D025004 CONTINUE25003 CONTINUE FVECC(1)=((XC(1)-0.14D0)*XC(3)+(15.0D0*XC(1)-2.1D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-0.18D0)*XC(3)+(7.0D0*XC(1)-1.26D0)*XC(2)+1.0D0)/( &XC(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-0.22D0)*XC(3)+(4.333333333333333D0*XC(1)-0.953333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-0.25D0)*XC(3)+(3.0D0*XC(1)-0.75D0)*XC(2)+1.0D0)/( &XC(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-0.29D0)*XC(3)+(2.2D0*XC(1)-0.6379999999999999D0)* &XC(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-0.32D0)*XC(3)+(1.666666666666667D0*XC(1)-0.533333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-0.35D0)*XC(3)+(1.285714285714286D0*XC(1)-0.45D0)* &XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-0.39D0)*XC(3)+(XC(1)-0.39D0)*XC(2)+1.0D0)/(XC(3)+ &XC(2)) FVECC(9)=((XC(1)-0.37D0)*XC(3)+(XC(1)-0.37D0)*XC(2)+1.285714285714 &286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-0.58D0)*XC(3)+(XC(1)-0.58D0)*XC(2)+1.66666666666 &6667D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-0.73D0)*XC(3)+(XC(1)-0.73D0)*XC(2)+2.2D0)/(XC(3) &+XC(2)) FVECC(12)=((XC(1)-0.96D0)*XC(3)+(XC(1)-0.96D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) FJACC(1,1)=1.0D0 FJACC(1,2)=-15.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(1,3)=-1.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(2,1)=1.0D0 FJACC(2,2)=-7.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(2,3)=-1.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(3,1)=1.0D0 FJACC(3,2)=((-0.1110223024625157D-15*XC(3))-4.333333333333333D0)/( &XC(3)**2+8.666666666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2) &**2) FJACC(3,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+8.666666 &666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)**2) FJACC(4,1)=1.0D0 FJACC(4,2)=-3.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(4,3)=-1.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(5,1)=1.0D0 FJACC(5,2)=((-0.1110223024625157D-15*XC(3))-2.2D0)/(XC(3)**2+4.399 &999999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(5,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+4.399999 &999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(6,1)=1.0D0 FJACC(6,2)=((-0.2220446049250313D-15*XC(3))-1.666666666666667D0)/( &XC(3)**2+3.333333333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2) &**2) FJACC(6,3)=(0.2220446049250313D-15*XC(2)-1.0D0)/(XC(3)**2+3.333333 &333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)**2) FJACC(7,1)=1.0D0 FJACC(7,2)=((-0.5551115123125783D-16*XC(3))-1.285714285714286D0)/( &XC(3)**2+2.571428571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2) &**2) FJACC(7,3)=(0.5551115123125783D-16*XC(2)-1.0D0)/(XC(3)**2+2.571428 &571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)**2) FJACC(8,1)=1.0D0 FJACC(8,2)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(8,3)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(9,1)=1.0D0 FJACC(9,2)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(9,3)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(10,1)=1.0D0 FJACC(10,2)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(10,3)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(11,1)=1.0D0 FJACC(11,2)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(11,3)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,1)=1.0D0 FJACC(12,2)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,3)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(13,1)=1.0D0 FJACC(13,2)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(13,3)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(14,1)=1.0D0 FJACC(14,2)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(14,3)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,1)=1.0D0 FJACC(15,2)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,3)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-65 -3955) +(-65 -3956) ((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example:\\begin{verbatim} SUBROUTINE QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX) DOUBLE PRECISION HX(N),X(N),HESS(NROWH,NCOLH) INTEGER JTHCOL,N,NROWH,NCOLH HX(1)=2.0D0*X(1) HX(2)=2.0D0*X(2) HX(3)=2.0D0*X(4)+2.0D0*X(3) HX(4)=2.0D0*X(4)+2.0D0*X(3) HX(5)=2.0D0*X(5) HX(6)=(-2.0D0*X(7))+(-2.0D0*X(6)) HX(7)=(-2.0D0*X(7))+(-2.0D0*X(6)) RETURN END\\end{verbatim}"))) NIL NIL -(-66 -3955) +(-66 -3956) ((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine \\axiomOpFrom{e04jaf}{e04Package}),{} for example:\\begin{verbatim} SUBROUTINE FUNCT1(N,XC,FC) DOUBLE PRECISION FC,XC(N) INTEGER N FC=10.0D0*XC(4)**4+(-40.0D0*XC(1)*XC(4)**3)+(60.0D0*XC(1)**2+5 &.0D0)*XC(4)**2+((-10.0D0*XC(3))+(-40.0D0*XC(1)**3))*XC(4)+16.0D0*X &C(3)**4+(-32.0D0*XC(2)*XC(3)**3)+(24.0D0*XC(2)**2+5.0D0)*XC(3)**2+ &(-8.0D0*XC(2)**3*XC(3))+XC(2)**4+100.0D0*XC(2)**2+20.0D0*XC(1)*XC( &2)+10.0D0*XC(1)**4+XC(1)**2 RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-67 -3955) +(-67 -3956) ((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package} ,{}for example:\\begin{verbatim} FUNCTION DOT(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION W(N),Z(N),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOT=(W(16)+(-0.5D0*W(15)))*Z(16)+((-0.5D0*W(16))+W(15)+(-0.5D0*W(1 &4)))*Z(15)+((-0.5D0*W(15))+W(14)+(-0.5D0*W(13)))*Z(14)+((-0.5D0*W( &14))+W(13)+(-0.5D0*W(12)))*Z(13)+((-0.5D0*W(13))+W(12)+(-0.5D0*W(1 &1)))*Z(12)+((-0.5D0*W(12))+W(11)+(-0.5D0*W(10)))*Z(11)+((-0.5D0*W( &11))+W(10)+(-0.5D0*W(9)))*Z(10)+((-0.5D0*W(10))+W(9)+(-0.5D0*W(8)) &)*Z(9)+((-0.5D0*W(9))+W(8)+(-0.5D0*W(7)))*Z(8)+((-0.5D0*W(8))+W(7) &+(-0.5D0*W(6)))*Z(7)+((-0.5D0*W(7))+W(6)+(-0.5D0*W(5)))*Z(6)+((-0. &5D0*W(6))+W(5)+(-0.5D0*W(4)))*Z(5)+((-0.5D0*W(5))+W(4)+(-0.5D0*W(3 &)))*Z(4)+((-0.5D0*W(4))+W(3)+(-0.5D0*W(2)))*Z(3)+((-0.5D0*W(3))+W( &2)+(-0.5D0*W(1)))*Z(2)+((-0.5D0*W(2))+W(1))*Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-68 -3955) +(-68 -3956) ((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE IMAGE(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION Z(N),W(N),IWORK(LRWORK),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK W(1)=0.01707454969713436D0*Z(16)+0.001747395874954051D0*Z(15)+0.00 &2106973900813502D0*Z(14)+0.002957434991769087D0*Z(13)+(-0.00700554 &0882865317D0*Z(12))+(-0.01219194009813166D0*Z(11))+0.0037230647365 &3087D0*Z(10)+0.04932374658377151D0*Z(9)+(-0.03586220812223305D0*Z( &8))+(-0.04723268012114625D0*Z(7))+(-0.02434652144032987D0*Z(6))+0. &2264766947290192D0*Z(5)+(-0.1385343580686922D0*Z(4))+(-0.116530050 &8238904D0*Z(3))+(-0.2803531651057233D0*Z(2))+1.019463911841327D0*Z &(1) W(2)=0.0227345011107737D0*Z(16)+0.008812321197398072D0*Z(15)+0.010 &94012210519586D0*Z(14)+(-0.01764072463999744D0*Z(13))+(-0.01357136 &72105995D0*Z(12))+0.00157466157362272D0*Z(11)+0.05258889186338282D &0*Z(10)+(-0.01981532388243379D0*Z(9))+(-0.06095390688679697D0*Z(8) &)+(-0.04153119955569051D0*Z(7))+0.2176561076571465D0*Z(6)+(-0.0532 &5555586632358D0*Z(5))+(-0.1688977368984641D0*Z(4))+(-0.32440166056 &67343D0*Z(3))+0.9128222941872173D0*Z(2)+(-0.2419652703415429D0*Z(1 &)) W(3)=0.03371198197190302D0*Z(16)+0.02021603150122265D0*Z(15)+(-0.0 &06607305534689702D0*Z(14))+(-0.03032392238968179D0*Z(13))+0.002033 &305231024948D0*Z(12)+0.05375944956767728D0*Z(11)+(-0.0163213312502 &9967D0*Z(10))+(-0.05483186562035512D0*Z(9))+(-0.04901428822579872D &0*Z(8))+0.2091097927887612D0*Z(7)+(-0.05760560341383113D0*Z(6))+(- &0.1236679206156403D0*Z(5))+(-0.3523683853026259D0*Z(4))+0.88929961 &32269974D0*Z(3)+(-0.2995429545781457D0*Z(2))+(-0.02986582812574917 &D0*Z(1)) W(4)=0.05141563713660119D0*Z(16)+0.005239165960779299D0*Z(15)+(-0. &01623427735779699D0*Z(14))+(-0.01965809746040371D0*Z(13))+0.054688 &97337339577D0*Z(12)+(-0.014224695935687D0*Z(11))+(-0.0505181779315 &6355D0*Z(10))+(-0.04353074206076491D0*Z(9))+0.2012230497530726D0*Z &(8)+(-0.06630874514535952D0*Z(7))+(-0.1280829963720053D0*Z(6))+(-0 &.305169742604165D0*Z(5))+0.8600427128450191D0*Z(4)+(-0.32415033802 &68184D0*Z(3))+(-0.09033531980693314D0*Z(2))+0.09089205517109111D0* &Z(1) W(5)=0.04556369767776375D0*Z(16)+(-0.001822737697581869D0*Z(15))+( &-0.002512226501941856D0*Z(14))+0.02947046460707379D0*Z(13)+(-0.014 &45079632086177D0*Z(12))+(-0.05034242196614937D0*Z(11))+(-0.0376966 &3291725935D0*Z(10))+0.2171103102175198D0*Z(9)+(-0.0824949256021352 &4D0*Z(8))+(-0.1473995209288945D0*Z(7))+(-0.315042193418466D0*Z(6)) &+0.9591623347824002D0*Z(5)+(-0.3852396953763045D0*Z(4))+(-0.141718 &5427288274D0*Z(3))+(-0.03423495461011043D0*Z(2))+0.319820917706851 &6D0*Z(1) W(6)=0.04015147277405744D0*Z(16)+0.01328585741341559D0*Z(15)+0.048 &26082005465965D0*Z(14)+(-0.04319641116207706D0*Z(13))+(-0.04931323 &319055762D0*Z(12))+(-0.03526886317505474D0*Z(11))+0.22295383396730 &01D0*Z(10)+(-0.07375317649315155D0*Z(9))+(-0.1589391311991561D0*Z( &8))+(-0.328001910890377D0*Z(7))+0.952576555482747D0*Z(6)+(-0.31583 &09975786731D0*Z(5))+(-0.1846882042225383D0*Z(4))+(-0.0703762046700 &4427D0*Z(3))+0.2311852964327382D0*Z(2)+0.04254083491825025D0*Z(1) W(7)=0.06069778964023718D0*Z(16)+0.06681263884671322D0*Z(15)+(-0.0 &2113506688615768D0*Z(14))+(-0.083996867458326D0*Z(13))+(-0.0329843 &8523869648D0*Z(12))+0.2276878326327734D0*Z(11)+(-0.067356038933017 &95D0*Z(10))+(-0.1559813965382218D0*Z(9))+(-0.3363262957694705D0*Z( &8))+0.9442791158560948D0*Z(7)+(-0.3199955249404657D0*Z(6))+(-0.136 &2463839920727D0*Z(5))+(-0.1006185171570586D0*Z(4))+0.2057504515015 &423D0*Z(3)+(-0.02065879269286707D0*Z(2))+0.03160990266745513D0*Z(1 &) W(8)=0.126386868896738D0*Z(16)+0.002563370039476418D0*Z(15)+(-0.05 &581757739455641D0*Z(14))+(-0.07777893205900685D0*Z(13))+0.23117338 &45834199D0*Z(12)+(-0.06031581134427592D0*Z(11))+(-0.14805474755869 &52D0*Z(10))+(-0.3364014128402243D0*Z(9))+0.9364014128402244D0*Z(8) &+(-0.3269452524413048D0*Z(7))+(-0.1396841886557241D0*Z(6))+(-0.056 &1733845834199D0*Z(5))+0.1777789320590069D0*Z(4)+(-0.04418242260544 &359D0*Z(3))+(-0.02756337003947642D0*Z(2))+0.07361313110326199D0*Z( &1) W(9)=0.07361313110326199D0*Z(16)+(-0.02756337003947642D0*Z(15))+(- &0.04418242260544359D0*Z(14))+0.1777789320590069D0*Z(13)+(-0.056173 &3845834199D0*Z(12))+(-0.1396841886557241D0*Z(11))+(-0.326945252441 &3048D0*Z(10))+0.9364014128402244D0*Z(9)+(-0.3364014128402243D0*Z(8 &))+(-0.1480547475586952D0*Z(7))+(-0.06031581134427592D0*Z(6))+0.23 &11733845834199D0*Z(5)+(-0.07777893205900685D0*Z(4))+(-0.0558175773 &9455641D0*Z(3))+0.002563370039476418D0*Z(2)+0.126386868896738D0*Z( &1) W(10)=0.03160990266745513D0*Z(16)+(-0.02065879269286707D0*Z(15))+0 &.2057504515015423D0*Z(14)+(-0.1006185171570586D0*Z(13))+(-0.136246 &3839920727D0*Z(12))+(-0.3199955249404657D0*Z(11))+0.94427911585609 &48D0*Z(10)+(-0.3363262957694705D0*Z(9))+(-0.1559813965382218D0*Z(8 &))+(-0.06735603893301795D0*Z(7))+0.2276878326327734D0*Z(6)+(-0.032 &98438523869648D0*Z(5))+(-0.083996867458326D0*Z(4))+(-0.02113506688 &615768D0*Z(3))+0.06681263884671322D0*Z(2)+0.06069778964023718D0*Z( &1) W(11)=0.04254083491825025D0*Z(16)+0.2311852964327382D0*Z(15)+(-0.0 &7037620467004427D0*Z(14))+(-0.1846882042225383D0*Z(13))+(-0.315830 &9975786731D0*Z(12))+0.952576555482747D0*Z(11)+(-0.328001910890377D &0*Z(10))+(-0.1589391311991561D0*Z(9))+(-0.07375317649315155D0*Z(8) &)+0.2229538339673001D0*Z(7)+(-0.03526886317505474D0*Z(6))+(-0.0493 &1323319055762D0*Z(5))+(-0.04319641116207706D0*Z(4))+0.048260820054 &65965D0*Z(3)+0.01328585741341559D0*Z(2)+0.04015147277405744D0*Z(1) W(12)=0.3198209177068516D0*Z(16)+(-0.03423495461011043D0*Z(15))+(- &0.1417185427288274D0*Z(14))+(-0.3852396953763045D0*Z(13))+0.959162 &3347824002D0*Z(12)+(-0.315042193418466D0*Z(11))+(-0.14739952092889 &45D0*Z(10))+(-0.08249492560213524D0*Z(9))+0.2171103102175198D0*Z(8 &)+(-0.03769663291725935D0*Z(7))+(-0.05034242196614937D0*Z(6))+(-0. &01445079632086177D0*Z(5))+0.02947046460707379D0*Z(4)+(-0.002512226 &501941856D0*Z(3))+(-0.001822737697581869D0*Z(2))+0.045563697677763 &75D0*Z(1) W(13)=0.09089205517109111D0*Z(16)+(-0.09033531980693314D0*Z(15))+( &-0.3241503380268184D0*Z(14))+0.8600427128450191D0*Z(13)+(-0.305169 &742604165D0*Z(12))+(-0.1280829963720053D0*Z(11))+(-0.0663087451453 &5952D0*Z(10))+0.2012230497530726D0*Z(9)+(-0.04353074206076491D0*Z( &8))+(-0.05051817793156355D0*Z(7))+(-0.014224695935687D0*Z(6))+0.05 &468897337339577D0*Z(5)+(-0.01965809746040371D0*Z(4))+(-0.016234277 &35779699D0*Z(3))+0.005239165960779299D0*Z(2)+0.05141563713660119D0 &*Z(1) W(14)=(-0.02986582812574917D0*Z(16))+(-0.2995429545781457D0*Z(15)) &+0.8892996132269974D0*Z(14)+(-0.3523683853026259D0*Z(13))+(-0.1236 &679206156403D0*Z(12))+(-0.05760560341383113D0*Z(11))+0.20910979278 &87612D0*Z(10)+(-0.04901428822579872D0*Z(9))+(-0.05483186562035512D &0*Z(8))+(-0.01632133125029967D0*Z(7))+0.05375944956767728D0*Z(6)+0 &.002033305231024948D0*Z(5)+(-0.03032392238968179D0*Z(4))+(-0.00660 &7305534689702D0*Z(3))+0.02021603150122265D0*Z(2)+0.033711981971903 &02D0*Z(1) W(15)=(-0.2419652703415429D0*Z(16))+0.9128222941872173D0*Z(15)+(-0 &.3244016605667343D0*Z(14))+(-0.1688977368984641D0*Z(13))+(-0.05325 &555586632358D0*Z(12))+0.2176561076571465D0*Z(11)+(-0.0415311995556 &9051D0*Z(10))+(-0.06095390688679697D0*Z(9))+(-0.01981532388243379D &0*Z(8))+0.05258889186338282D0*Z(7)+0.00157466157362272D0*Z(6)+(-0. &0135713672105995D0*Z(5))+(-0.01764072463999744D0*Z(4))+0.010940122 &10519586D0*Z(3)+0.008812321197398072D0*Z(2)+0.0227345011107737D0*Z &(1) W(16)=1.019463911841327D0*Z(16)+(-0.2803531651057233D0*Z(15))+(-0. &1165300508238904D0*Z(14))+(-0.1385343580686922D0*Z(13))+0.22647669 &47290192D0*Z(12)+(-0.02434652144032987D0*Z(11))+(-0.04723268012114 &625D0*Z(10))+(-0.03586220812223305D0*Z(9))+0.04932374658377151D0*Z &(8)+0.00372306473653087D0*Z(7)+(-0.01219194009813166D0*Z(6))+(-0.0 &07005540882865317D0*Z(5))+0.002957434991769087D0*Z(4)+0.0021069739 &00813502D0*Z(3)+0.001747395874954051D0*Z(2)+0.01707454969713436D0* &Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-69 -3955) +(-69 -3956) ((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE MONIT(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) DOUBLE PRECISION D(K),F(K) INTEGER K,NEXTIT,NEVALS,NVECS,ISTATE CALL F02FJZ(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}."))) NIL NIL -(-70 -3955) +(-70 -3956) ((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine \\axiomOpFrom{f04qaf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE APROD(MODE,M,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION X(N),Y(M),RWORK(LRWORK) INTEGER M,N,LIWORK,IFAIL,LRWORK,IWORK(LIWORK),MODE DOUBLE PRECISION A(5,5) EXTERNAL F06PAF A(1,1)=1.0D0 A(1,2)=0.0D0 A(1,3)=0.0D0 A(1,4)=-1.0D0 A(1,5)=0.0D0 A(2,1)=0.0D0 A(2,2)=1.0D0 A(2,3)=0.0D0 A(2,4)=0.0D0 A(2,5)=-1.0D0 A(3,1)=0.0D0 A(3,2)=0.0D0 A(3,3)=1.0D0 A(3,4)=-1.0D0 A(3,5)=0.0D0 A(4,1)=-1.0D0 A(4,2)=0.0D0 A(4,3)=-1.0D0 A(4,4)=4.0D0 A(4,5)=-1.0D0 A(5,1)=0.0D0 A(5,2)=-1.0D0 A(5,3)=0.0D0 A(5,4)=-1.0D0 A(5,5)=4.0D0 IF(MODE.EQ.1)THEN CALL F06PAF('N',M,N,1.0D0,A,M,X,1,1.0D0,Y,1) ELSEIF(MODE.EQ.2)THEN CALL F06PAF('T',M,N,1.0D0,A,M,Y,1,1.0D0,X,1) ENDIF RETURN END\\end{verbatim}"))) NIL NIL -(-71 -3955) +(-71 -3956) ((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine \\axiomOpFrom{d02ejf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE PEDERV(X,Y,PW) DOUBLE PRECISION X,Y(*) DOUBLE PRECISION PW(3,3) PW(1,1)=-0.03999999999999999D0 PW(1,2)=10000.0D0*Y(3) PW(1,3)=10000.0D0*Y(2) PW(2,1)=0.03999999999999999D0 PW(2,2)=(-10000.0D0*Y(3))+(-60000000.0D0*Y(2)) PW(2,3)=-10000.0D0*Y(2) PW(3,1)=0.0D0 PW(3,2)=60000000.0D0*Y(2) PW(3,3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-72 -3955) +(-72 -3956) ((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. The code is a dummy ASP:\\begin{verbatim} SUBROUTINE REPORT(X,V,JINT) DOUBLE PRECISION V(3),X INTEGER JINT RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}."))) NIL NIL -(-73 -3955) +(-73 -3956) ((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine \\axiomOpFrom{f04mbf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE MSOLVE(IFLAG,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION RWORK(LRWORK),X(N),Y(N) INTEGER I,J,N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOUBLE PRECISION W1(3),W2(3),MS(3,3) IFLAG=-1 MS(1,1)=2.0D0 MS(1,2)=1.0D0 MS(1,3)=0.0D0 MS(2,1)=1.0D0 MS(2,2)=2.0D0 MS(2,3)=1.0D0 MS(3,1)=0.0D0 MS(3,2)=1.0D0 MS(3,3)=2.0D0 CALL F04ASF(MS,N,X,N,Y,W1,W2,IFLAG) IFLAG=-IFLAG RETURN END\\end{verbatim}"))) NIL NIL -(-74 -3955) +(-74 -3956) ((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines \\axiomOpFrom{c05pbf}{c05Package},{} \\axiomOpFrom{c05pcf}{c05Package},{} for example:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,FJAC,LDFJAC,IFLAG) DOUBLE PRECISION X(N),FVEC(N),FJAC(LDFJAC,N) INTEGER LDFJAC,N,IFLAG IF(IFLAG.EQ.1)THEN FVEC(1)=(-1.0D0*X(2))+X(1) FVEC(2)=(-1.0D0*X(3))+2.0D0*X(2) FVEC(3)=3.0D0*X(3) ELSEIF(IFLAG.EQ.2)THEN FJAC(1,1)=1.0D0 FJAC(1,2)=-1.0D0 FJAC(1,3)=0.0D0 FJAC(2,1)=0.0D0 FJAC(2,2)=2.0D0 FJAC(2,3)=-1.0D0 FJAC(3,1)=0.0D0 FJAC(3,2)=0.0D0 FJAC(3,3)=3.0D0 ENDIF END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-75 -3955) +(-75 -3956) ((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form:\\begin{verbatim} DOUBLE PRECISION FUNCTION FUNCTN(NDIM,X) DOUBLE PRECISION X(NDIM) INTEGER NDIM FUNCTN=(4.0D0*X(1)*X(3)**2*DEXP(2.0D0*X(1)*X(3)))/(X(4)**2+(2.0D0* &X(2)+2.0D0)*X(4)+X(2)**2+2.0D0*X(2)+1.0D0) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL @@ -240,51 +240,51 @@ NIL ((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines \\axiomOpFrom{d02raf}{d02Package} and \\axiomOpFrom{d02saf}{d02Package} in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives wrt \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example:\\begin{verbatim} SUBROUTINE G(EPS,YA,YB,BC,N) DOUBLE PRECISION EPS,YA(N),YB(N),BC(N) INTEGER N BC(1)=YA(1) BC(2)=YA(2) BC(3)=YB(2)-1.0D0 RETURN END SUBROUTINE JACOBG(EPS,YA,YB,AJ,BJ,N) DOUBLE PRECISION EPS,YA(N),AJ(N,N),BJ(N,N),YB(N) INTEGER N AJ(1,1)=1.0D0 AJ(1,2)=0.0D0 AJ(1,3)=0.0D0 AJ(2,1)=0.0D0 AJ(2,2)=1.0D0 AJ(2,3)=0.0D0 AJ(3,1)=0.0D0 AJ(3,2)=0.0D0 AJ(3,3)=0.0D0 BJ(1,1)=0.0D0 BJ(1,2)=0.0D0 BJ(1,3)=0.0D0 BJ(2,1)=0.0D0 BJ(2,2)=0.0D0 BJ(2,3)=0.0D0 BJ(3,1)=0.0D0 BJ(3,2)=1.0D0 BJ(3,3)=0.0D0 RETURN END SUBROUTINE JACGEP(EPS,YA,YB,BCEP,N) DOUBLE PRECISION EPS,YA(N),YB(N),BCEP(N) INTEGER N BCEP(1)=0.0D0 BCEP(2)=0.0D0 BCEP(3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-78 -3955) +(-78 -3956) ((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package},{} \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER) DOUBLE PRECISION X(N),OBJF,OBJGRD(N),USER(*) INTEGER N,IUSER(*),MODE,NSTATE OBJF=X(4)*X(9)+((-1.0D0*X(5))+X(3))*X(8)+((-1.0D0*X(3))+X(1))*X(7) &+(-1.0D0*X(2)*X(6)) OBJGRD(1)=X(7) OBJGRD(2)=-1.0D0*X(6) OBJGRD(3)=X(8)+(-1.0D0*X(7)) OBJGRD(4)=X(9) OBJGRD(5)=-1.0D0*X(8) OBJGRD(6)=-1.0D0*X(2) OBJGRD(7)=(-1.0D0*X(3))+X(1) OBJGRD(8)=(-1.0D0*X(5))+X(3) OBJGRD(9)=X(4) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-79 -3955) +(-79 -3956) ((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine \\axiomOpFrom{e04fdf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE LSFUN1(M,N,XC,FVECC) DOUBLE PRECISION FVECC(M),XC(N) INTEGER I,M,N FVECC(1)=((XC(1)-2.4D0)*XC(3)+(15.0D0*XC(1)-36.0D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-2.8D0)*XC(3)+(7.0D0*XC(1)-19.6D0)*XC(2)+1.0D0)/(X &C(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-3.2D0)*XC(3)+(4.333333333333333D0*XC(1)-13.866666 &66666667D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-3.5D0)*XC(3)+(3.0D0*XC(1)-10.5D0)*XC(2)+1.0D0)/(X &C(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-3.9D0)*XC(3)+(2.2D0*XC(1)-8.579999999999998D0)*XC &(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-4.199999999999999D0)*XC(3)+(1.666666666666667D0*X &C(1)-7.0D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-4.5D0)*XC(3)+(1.285714285714286D0*XC(1)-5.7857142 &85714286D0)*XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-4.899999999999999D0)*XC(3)+(XC(1)-4.8999999999999 &99D0)*XC(2)+1.0D0)/(XC(3)+XC(2)) FVECC(9)=((XC(1)-4.699999999999999D0)*XC(3)+(XC(1)-4.6999999999999 &99D0)*XC(2)+1.285714285714286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-6.8D0)*XC(3)+(XC(1)-6.8D0)*XC(2)+1.6666666666666 &67D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-8.299999999999999D0)*XC(3)+(XC(1)-8.299999999999 &999D0)*XC(2)+2.2D0)/(XC(3)+XC(2)) FVECC(12)=((XC(1)-10.6D0)*XC(3)+(XC(1)-10.6D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-80 -3955) +(-80 -3956) ((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package} and \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,IUSER &,USER) DOUBLE PRECISION C(NCNLN),X(N),CJAC(NROWJ,N),USER(*) INTEGER N,IUSER(*),NEEDC(NCNLN),NROWJ,MODE,NCNLN,NSTATE IF(NEEDC(1).GT.0)THEN C(1)=X(6)**2+X(1)**2 CJAC(1,1)=2.0D0*X(1) CJAC(1,2)=0.0D0 CJAC(1,3)=0.0D0 CJAC(1,4)=0.0D0 CJAC(1,5)=0.0D0 CJAC(1,6)=2.0D0*X(6) ENDIF IF(NEEDC(2).GT.0)THEN C(2)=X(2)**2+(-2.0D0*X(1)*X(2))+X(1)**2 CJAC(2,1)=(-2.0D0*X(2))+2.0D0*X(1) CJAC(2,2)=2.0D0*X(2)+(-2.0D0*X(1)) CJAC(2,3)=0.0D0 CJAC(2,4)=0.0D0 CJAC(2,5)=0.0D0 CJAC(2,6)=0.0D0 ENDIF IF(NEEDC(3).GT.0)THEN C(3)=X(3)**2+(-2.0D0*X(1)*X(3))+X(2)**2+X(1)**2 CJAC(3,1)=(-2.0D0*X(3))+2.0D0*X(1) CJAC(3,2)=2.0D0*X(2) CJAC(3,3)=2.0D0*X(3)+(-2.0D0*X(1)) CJAC(3,4)=0.0D0 CJAC(3,5)=0.0D0 CJAC(3,6)=0.0D0 ENDIF RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-81 -3955) +(-81 -3956) ((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines \\axiomOpFrom{c05nbf}{c05Package},{} \\axiomOpFrom{c05ncf}{c05Package}. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,IFLAG) DOUBLE PRECISION X(N),FVEC(N) INTEGER N,IFLAG FVEC(1)=(-2.0D0*X(2))+(-2.0D0*X(1)**2)+3.0D0*X(1)+1.0D0 FVEC(2)=(-2.0D0*X(3))+(-2.0D0*X(2)**2)+3.0D0*X(2)+(-1.0D0*X(1))+1. &0D0 FVEC(3)=(-2.0D0*X(4))+(-2.0D0*X(3)**2)+3.0D0*X(3)+(-1.0D0*X(2))+1. &0D0 FVEC(4)=(-2.0D0*X(5))+(-2.0D0*X(4)**2)+3.0D0*X(4)+(-1.0D0*X(3))+1. &0D0 FVEC(5)=(-2.0D0*X(6))+(-2.0D0*X(5)**2)+3.0D0*X(5)+(-1.0D0*X(4))+1. &0D0 FVEC(6)=(-2.0D0*X(7))+(-2.0D0*X(6)**2)+3.0D0*X(6)+(-1.0D0*X(5))+1. &0D0 FVEC(7)=(-2.0D0*X(8))+(-2.0D0*X(7)**2)+3.0D0*X(7)+(-1.0D0*X(6))+1. &0D0 FVEC(8)=(-2.0D0*X(9))+(-2.0D0*X(8)**2)+3.0D0*X(8)+(-1.0D0*X(7))+1. &0D0 FVEC(9)=(-2.0D0*X(9)**2)+3.0D0*X(9)+(-1.0D0*X(8))+1.0D0 RETURN END\\end{verbatim}"))) NIL NIL -(-82 -3955) +(-82 -3956) ((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bbf}{d02Package},{} \\axiomOpFrom{d02gaf}{d02Package}. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like:\\begin{verbatim} SUBROUTINE FCN(X,Z,F) DOUBLE PRECISION F(*),X,Z(*) F(1)=DTAN(Z(3)) F(2)=((-0.03199999999999999D0*DCOS(Z(3))*DTAN(Z(3)))+(-0.02D0*Z(2) &**2))/(Z(2)*DCOS(Z(3))) F(3)=-0.03199999999999999D0/(X*Z(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-83 -3955) +(-83 -3956) ((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE PDEF(X,Y,ALPHA,BETA,GAMMA,DELTA,EPSOLN,PHI,PSI) DOUBLE PRECISION ALPHA,EPSOLN,PHI,X,Y,BETA,DELTA,GAMMA,PSI ALPHA=DSIN(X) BETA=Y GAMMA=X*Y DELTA=DCOS(X)*DSIN(Y) EPSOLN=Y+X PHI=X PSI=Y RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-84 -3955) +(-84 -3956) ((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE BNDY(X,Y,A,B,C,IBND) DOUBLE PRECISION A,B,C,X,Y INTEGER IBND IF(IBND.EQ.0)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(X) ELSEIF(IBND.EQ.1)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.2)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.3)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(Y) ENDIF END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-85 -3955) +(-85 -3956) ((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNF(X,F) DOUBLE PRECISION X DOUBLE PRECISION F(2,2) F(1,1)=0.0D0 F(1,2)=1.0D0 F(2,1)=0.0D0 F(2,2)=-10.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-86 -3955) +(-86 -3956) ((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNG(X,G) DOUBLE PRECISION G(*),X G(1)=0.0D0 G(2)=0.0D0 END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-87 -3955) +(-87 -3956) ((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine \\axiomOpFrom{d02bbf}{d02Package}. This ASP prints intermediate values of the computed solution of an ODE and might look like:\\begin{verbatim} SUBROUTINE OUTPUT(XSOL,Y,COUNT,M,N,RESULT,FORWRD) DOUBLE PRECISION Y(N),RESULT(M,N),XSOL INTEGER M,N,COUNT LOGICAL FORWRD DOUBLE PRECISION X02ALF,POINTS(8) EXTERNAL X02ALF INTEGER I POINTS(1)=1.0D0 POINTS(2)=2.0D0 POINTS(3)=3.0D0 POINTS(4)=4.0D0 POINTS(5)=5.0D0 POINTS(6)=6.0D0 POINTS(7)=7.0D0 POINTS(8)=8.0D0 COUNT=COUNT+1 DO 25001 I=1,N RESULT(COUNT,I)=Y(I)25001 CONTINUE IF(COUNT.EQ.M)THEN IF(FORWRD)THEN XSOL=X02ALF() ELSE XSOL=-X02ALF() ENDIF ELSE XSOL=POINTS(COUNT) ENDIF END\\end{verbatim}"))) NIL NIL -(-88 -3955) +(-88 -3956) ((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE BDYVAL(XL,XR,ELAM,YL,YR) DOUBLE PRECISION ELAM,XL,YL(3),XR,YR(3) YL(1)=XL YL(2)=2.0D0 YR(1)=1.0D0 YR(2)=-1.0D0*DSQRT(XR+(-1.0D0*ELAM)) RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-89 -3955) +(-89 -3956) ((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bhf}{d02Package},{} \\axiomOpFrom{d02cjf}{d02Package},{} \\axiomOpFrom{d02ejf}{d02Package}. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example:\\begin{verbatim} DOUBLE PRECISION FUNCTION G(X,Y) DOUBLE PRECISION X,Y(*) G=X+Y(1) RETURN END\\end{verbatim} If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL @@ -295,7 +295,7 @@ NIL (-91 S) ((|constructor| (NIL "A stack represented as a flexible array.")) (|arrayStack| (($ (|List| |#1|)) "\\spad{arrayStack([x,y,...,z])} creates an array stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-92 S) ((|constructor| (NIL "This is the category of Spad abstract syntax trees."))) NIL @@ -343,7 +343,7 @@ NIL (-103 S) ((|constructor| (NIL "\\spadtype{BalancedBinaryTree(S)} is the domain of balanced binary trees (bbtree). A balanced binary tree of \\spad{2**k} leaves,{} for some \\spad{k > 0},{} is symmetric,{} that is,{} the left and right subtree of each interior node have identical shape. In general,{} the left and right subtree of a given node can differ by at most leaf node.")) (|mapDown!| (($ $ |#1| (|Mapping| (|List| |#1|) |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. Let \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t}. The root value \\spad{x} of \\spad{t} is replaced by \\spad{p}. Then \\spad{f}(value \\spad{l},{} value \\spad{r},{} \\spad{p}),{} where \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t},{} is evaluated producing two values pl and pr. Then \\spad{mapDown!(l,pl,f)} and \\spad{mapDown!(l,pr,f)} are evaluated.") (($ $ |#1| (|Mapping| |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. The root value \\spad{x} is replaced by \\spad{q} := \\spad{f}(\\spad{p},{}\\spad{x}). The mapDown!(\\spad{l},{}\\spad{q},{}\\spad{f}) and mapDown!(\\spad{r},{}\\spad{q},{}\\spad{f}) are evaluated for the left and right subtrees \\spad{l} and \\spad{r} of \\spad{t}.")) (|mapUp!| (($ $ $ (|Mapping| |#1| |#1| |#1| |#1| |#1|)) "\\spad{mapUp!(t,t1,f)} traverses \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r},{}\\spad{l1},{}\\spad{r1}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes. Values \\spad{l1} and \\spad{r1} are values at the corresponding nodes of a balanced binary tree \\spad{t1},{} of identical shape at \\spad{t}.") ((|#1| $ (|Mapping| |#1| |#1| |#1|)) "\\spad{mapUp!(t,f)} traverses balanced binary tree \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes.")) (|setleaves!| (($ $ (|List| |#1|)) "\\spad{setleaves!(t, ls)} sets the leaves of \\spad{t} in left-to-right order to the elements of ls.")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\spad{balancedBinaryTree(n, s)} creates a balanced binary tree with \\spad{n} nodes each with value \\spad{s}."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-104 R UP M |Row| |Col|) ((|constructor| (NIL "\\spadtype{BezoutMatrix} contains functions for computing resultants and discriminants using Bezout matrices.")) (|bezoutDiscriminant| ((|#1| |#2|) "\\spad{bezoutDiscriminant(p)} computes the discriminant of a polynomial \\spad{p} by computing the determinant of a Bezout matrix.")) (|bezoutResultant| ((|#1| |#2| |#2|) "\\spad{bezoutResultant(p,q)} computes the resultant of the two polynomials \\spad{p} and \\spad{q} by computing the determinant of a Bezout matrix.")) (|bezoutMatrix| ((|#3| |#2| |#2|) "\\spad{bezoutMatrix(p,q)} returns the Bezout matrix for the two polynomials \\spad{p} and \\spad{q}.")) (|sylvesterMatrix| ((|#3| |#2| |#2|) "\\spad{sylvesterMatrix(p,q)} returns the Sylvester matrix for the two polynomials \\spad{p} and \\spad{q}."))) NIL @@ -363,7 +363,7 @@ NIL (-108) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating binary expansions.")) (|binary| (($ (|Fraction| (|Integer|))) "\\spad{binary(r)} converts a rational number to a binary expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(b)} returns the fractional part of a binary expansion."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2215 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2217 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) (-109) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Binding' is a name asosciated with a collection of properties.")) (|binding| (($ (|Identifier|) (|List| (|Property|))) "\\spad{binding(n,props)} constructs a binding with name `n' and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) NIL @@ -407,7 +407,7 @@ NIL (-119 |p|) ((|constructor| (NIL "Stream-based implementation of Qp: numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-118 |#1|) (QUOTE (-939))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-149))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-118 |#1|) (QUOTE (-1051))) (|HasCategory| (-118 |#1|) (QUOTE (-842))) (|HasCategory| (-118 |#1|) (QUOTE (-871))) (-2215 (|HasCategory| (-118 |#1|) (QUOTE (-842))) (|HasCategory| (-118 |#1|) (QUOTE (-871)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-1183))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-239))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-118 |#1|) (QUOTE (-240))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -528) (QUOTE (-1208)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -118) (|devaluate| |#1|)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (QUOTE (-319))) (|HasCategory| (-118 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-939)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))))) +((|HasCategory| (-118 |#1|) (QUOTE (-939))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-149))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-118 |#1|) (QUOTE (-1051))) (|HasCategory| (-118 |#1|) (QUOTE (-842))) (|HasCategory| (-118 |#1|) (QUOTE (-871))) (-2217 (|HasCategory| (-118 |#1|) (QUOTE (-842))) (|HasCategory| (-118 |#1|) (QUOTE (-871)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-1183))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-239))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-118 |#1|) (QUOTE (-240))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -528) (QUOTE (-1208)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -118) (|devaluate| |#1|)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (QUOTE (-319))) (|HasCategory| (-118 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-939)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))))) (-120 A S) ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,\"right\",b)} (also written \\axiom{\\spad{b} . right := \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,\"left\",b)} (also written \\axiom{a . left := \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) NIL @@ -423,7 +423,7 @@ NIL (-123 S) ((|constructor| (NIL "BinarySearchTree(\\spad{S}) is the domain of a binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an \\spad{S},{} and a right and left which are both BinaryTree(\\spad{S}) Elements are ordered across the tree.")) (|split| (((|Record| (|:| |less| $) (|:| |greater| $)) |#1| $) "\\spad{split(x,b)} splits binary tree \\spad{b} into two trees,{} one with elements greater than \\spad{x},{} the other with elements less than \\spad{x}.")) (|insertRoot!| (($ |#1| $) "\\spad{insertRoot!(x,b)} inserts element \\spad{x} as a root of binary search tree \\spad{b}.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary search tree \\spad{b}.")) (|binarySearchTree| (($ (|List| |#1|)) "\\spad{binarySearchTree(l)} \\undocumented"))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-124 S) ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}."))) NIL @@ -443,11 +443,11 @@ NIL (-128 S) ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary tournament \\spad{b}.")) (|binaryTournament| (($ (|List| |#1|)) "\\spad{binaryTournament(ls)} creates a binary tournament with the elements of \\spad{ls} as values at the nodes."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-129 S) ((|constructor| (NIL "\\spadtype{BinaryTree(S)} is the domain of all binary trees. A binary tree over \\spad{S} is either empty or has a \\spadfun{value} which is an \\spad{S} and a \\spadfun{right} and \\spadfun{left} which are both binary trees.")) (|binaryTree| (($ $ |#1| $) "\\spad{binaryTree(l,v,r)} creates a binary tree with value \\spad{v} with left subtree \\spad{l} and right subtree \\spad{r}.") (($ |#1|) "\\spad{binaryTree(v)} is an non-empty binary tree with value \\spad{v},{} and left and right empty."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-130) ((|constructor| (NIL "Byte is the datatype of 8-bit sized unsigned integer values.")) (|sample| (($) "\\spad{sample} gives a sample datum of type Byte.")) (|bitior| (($ $ $) "bitor(\\spad{x},{}\\spad{y}) returns the bitwise `inclusive or' of `x' and `y'.")) (|bitand| (($ $ $) "\\spad{bitand(x,y)} returns the bitwise `and' of `x' and `y'.")) (|byte| (($ (|NonNegativeInteger|)) "\\spad{byte(x)} injects the unsigned integer value `v' into the Byte algebra. `v' must be non-negative and less than 256."))) NIL @@ -455,7 +455,7 @@ NIL (-131) ((|constructor| (NIL "ByteBuffer provides datatype for buffers of bytes. This domain differs from PrimitiveArray Byte in that it is not as rigid as PrimitiveArray Byte. That is,{} the typical use of ByteBuffer is to pre-allocate a vector of Byte of some capacity `n'. The array can then store up to `n' bytes. The actual interesting bytes count (the length of the buffer) is therefore different from the capacity. The length is no more than the capacity,{} but it can be set dynamically as needed. This functionality is used for example when reading bytes from input/output devices where we use buffers to transfer data in and out of the system. Note: a value of type ByteBuffer is 0-based indexed,{} as opposed \\indented{6}{Vector,{} but not unlike PrimitiveArray Byte.}")) (|finiteAggregate| ((|attribute|) "A ByteBuffer object is a finite aggregate")) (|setLength!| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{setLength!(buf,n)} sets the number of active bytes in the `buf'. Error if `n' is more than the capacity.")) (|capacity| (((|NonNegativeInteger|) $) "\\spad{capacity(buf)} returns the pre-allocated maximum size of `buf'.")) (|byteBuffer| (($ (|NonNegativeInteger|)) "\\spad{byteBuffer(n)} creates a buffer of capacity \\spad{n},{} and length 0."))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| (-130) (QUOTE (-871))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) (-2215 (-12 (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-130) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| (-130) (QUOTE (-871))) (|HasCategory| (-130) (QUOTE (-1132)))) (|HasCategory| (-130) (QUOTE (-871))) (-2215 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-871))) (|HasCategory| (-130) (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) +((-2217 (-12 (|HasCategory| (-130) (QUOTE (-871))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) (-2217 (-12 (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-130) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| (-130) (QUOTE (-871))) (|HasCategory| (-130) (QUOTE (-1132)))) (|HasCategory| (-130) (QUOTE (-871))) (-2217 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-871))) (|HasCategory| (-130) (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1132))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) (-132) ((|constructor| (NIL "This datatype describes byte order of machine values stored memory.")) (|unknownEndian| (($) "\\spad{unknownEndian} for none of the above.")) (|bigEndian| (($) "\\spad{bigEndian} describes big endian host")) (|littleEndian| (($) "\\spad{littleEndian} describes little endian host"))) NIL @@ -476,11 +476,11 @@ NIL ((|constructor| (NIL "Members of the domain CardinalNumber are values indicating the cardinality of sets,{} both finite and infinite. Arithmetic operations are defined on cardinal numbers as follows. \\blankline If \\spad{x = \\#X} and \\spad{y = \\#Y} then \\indented{2}{\\spad{x+y\\space{2}= \\#(X+Y)}\\space{3}\\tab{30}disjoint union} \\indented{2}{\\spad{x-y\\space{2}= \\#(X-Y)}\\space{3}\\tab{30}relative complement} \\indented{2}{\\spad{x*y\\space{2}= \\#(X*Y)}\\space{3}\\tab{30}cartesian product} \\indented{2}{\\spad{x**y = \\#(X**Y)}\\space{2}\\tab{30}\\spad{X**Y = \\{g| g:Y->X\\}}} \\blankline The non-negative integers have a natural construction as cardinals \\indented{2}{\\spad{0 = \\#\\{\\}},{} \\spad{1 = \\{0\\}},{} \\spad{2 = \\{0, 1\\}},{} ...,{} \\spad{n = \\{i| 0 <= i < n\\}}.} \\blankline That \\spad{0} acts as a zero for the multiplication of cardinals is equivalent to the axiom of choice. \\blankline The generalized continuum hypothesis asserts \\center{\\spad{2**Aleph i = Aleph(i+1)}} and is independent of the axioms of set theory [Goedel 1940]. \\blankline Three commonly encountered cardinal numbers are \\indented{3}{\\spad{a = \\#Z}\\space{7}\\tab{30}countable infinity} \\indented{3}{\\spad{c = \\#R}\\space{7}\\tab{30}the continuum} \\indented{3}{\\spad{f = \\#\\{g| g:[0,1]->R\\}}} \\blankline In this domain,{} these values are obtained using \\indented{3}{\\spad{a := Aleph 0},{} \\spad{c := 2**a},{} \\spad{f := 2**c}.} \\blankline")) (|generalizedContinuumHypothesisAssumed| (((|Boolean|) (|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed(bool)} is used to dictate whether the hypothesis is to be assumed.")) (|generalizedContinuumHypothesisAssumed?| (((|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed?()} tests if the hypothesis is currently assumed.")) (|countable?| (((|Boolean|) $) "\\spad{countable?(\\spad{a})} determines whether \\spad{a} is a countable cardinal,{} \\spadignore{i.e.} an integer or \\spad{Aleph 0}.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(\\spad{a})} determines whether \\spad{a} is a finite cardinal,{} \\spadignore{i.e.} an integer.")) (|Aleph| (($ (|NonNegativeInteger|)) "\\spad{Aleph(n)} provides the named (infinite) cardinal number.")) (** (($ $ $) "\\spad{x**y} returns \\spad{\\#(X**Y)} where \\spad{X**Y} is defined \\indented{1}{as \\spad{\\{g| g:Y->X\\}}.}")) (- (((|Union| $ "failed") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative."))) (((-4511 "*") . T)) NIL -(-137 |minix| -4332 R) +(-137 |minix| -4330 R) ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\spad{ravel(t)} produces a list of components from a tensor such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|leviCivitaSymbol| (($) "\\spad{leviCivitaSymbol()} is the rank \\spad{dim} tensor defined by \\spad{leviCivitaSymbol()(i1,...idim) = +1/0/-1} if \\spad{i1,...,idim} is an even/is nota /is an odd permutation of \\spad{minix,...,minix+dim-1}.")) (|kroneckerDelta| (($) "\\spad{kroneckerDelta()} is the rank 2 tensor defined by \\indented{3}{\\spad{kroneckerDelta()(i,j)}} \\indented{6}{\\spad{= 1\\space{2}if i = j}} \\indented{6}{\\spad{= 0 if\\space{2}i \\~= j}}")) (|reindex| (($ $ (|List| (|Integer|))) "\\spad{reindex(t,[i1,...,idim])} permutes the indices of \\spad{t}. For example,{} if \\spad{r = reindex(t, [4,1,2,3])} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank for tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,i,j,k)}.}")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\spad{transpose(t,i,j)} exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,2,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(i,k,j,l)}.}") (($ $) "\\spad{transpose(t)} exchanges the first and last indices of \\spad{t}. For example,{} if \\spad{r = transpose(t)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,j,k,i)}.}")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\spad{contract(t,i,j)} is the contraction of tensor \\spad{t} which sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices. For example,{} if \\spad{r = contract(t,1,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by \\indented{4}{\\spad{r(i,j) = sum(h=1..dim,t(h,i,h,j))}.}") (($ $ (|Integer|) $ (|Integer|)) "\\spad{contract(t,i,s,j)} is the inner product of tenors \\spad{s} and \\spad{t} which sums along the \\spad{k1}\\spad{-}th index of \\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}. For example,{} if \\spad{r = contract(s,2,t,1)} for rank 3 tensors rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is the rank 4 \\spad{(= 3 + 3 - 2)} tensor given by \\indented{4}{\\spad{r(i,j,k,l) = sum(h=1..dim,s(i,h,j)*t(h,k,l))}.}")) (* (($ $ $) "\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts the last index of \\spad{s} with the first index of \\spad{t},{} \\spadignore{i.e.} \\indented{4}{\\spad{t*s = contract(t,rank t, s, 1)}} \\indented{4}{\\spad{t*s = sum(k=1..N, t[i1,..,iN,k]*s[k,j1,..,jM])}} This is compatible with the use of \\spad{M*v} to denote the matrix-vector inner product.")) (|product| (($ $ $) "\\spad{product(s,t)} is the outer product of the tensors \\spad{s} and \\spad{t}. For example,{} if \\spad{r = product(s,t)} for rank 2 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = s(i,j)*t(k,l)}.}")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\spad{elt(t,[i1,...,iN])} gives a component of a rank \\spad{N} tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k,l)} gives a component of a rank 4 tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k)} gives a component of a rank 3 tensor.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(t,i,j)} gives a component of a rank 2 tensor.") ((|#3| $) "\\spad{elt(t)} gives the component of a rank 0 tensor.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(t)} returns the tensorial rank of \\spad{t} (that is,{} the number of indices). This is the same as the graded module degree.")) (|coerce| (($ (|List| $)) "\\spad{coerce([t_1,...,t_dim])} allows tensors to be constructed using lists.") (($ (|List| |#3|)) "\\spad{coerce([r_1,...,r_dim])} allows tensors to be constructed using lists.") (($ (|SquareMatrix| |#2| |#3|)) "\\spad{coerce(m)} views a matrix as a rank 2 tensor.") (($ (|DirectProduct| |#2| |#3|)) "\\spad{coerce(v)} views a vector as a rank 1 tensor."))) NIL NIL -(-138 |minix| -4332 S T$) +(-138 |minix| -4330 S T$) ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) NIL NIL @@ -503,7 +503,7 @@ NIL (-143) ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\spad{alphanumeric()} returns the class of all characters for which \\spadfunFrom{alphanumeric?}{Character} is \\spad{true}.")) (|alphabetic| (($) "\\spad{alphabetic()} returns the class of all characters for which \\spadfunFrom{alphabetic?}{Character} is \\spad{true}.")) (|lowerCase| (($) "\\spad{lowerCase()} returns the class of all characters for which \\spadfunFrom{lowerCase?}{Character} is \\spad{true}.")) (|upperCase| (($) "\\spad{upperCase()} returns the class of all characters for which \\spadfunFrom{upperCase?}{Character} is \\spad{true}.")) (|hexDigit| (($) "\\spad{hexDigit()} returns the class of all characters for which \\spadfunFrom{hexDigit?}{Character} is \\spad{true}.")) (|digit| (($) "\\spad{digit()} returns the class of all characters for which \\spadfunFrom{digit?}{Character} is \\spad{true}.")) (|charClass| (($ (|List| (|Character|))) "\\spad{charClass(l)} creates a character class which contains exactly the characters given in the list \\spad{l}.") (($ (|String|)) "\\spad{charClass(s)} creates a character class which contains exactly the characters given in the string \\spad{s}."))) ((-4509 . T) (-4499 . T) (-4510 . T)) -((-2215 (-12 (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) +((-2217 (-12 (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-144 R Q A) ((|constructor| (NIL "CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}'s.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}'s.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}qn."))) NIL @@ -602,7 +602,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-939))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-1033))) (|HasCategory| |#2| (QUOTE (-1234))) (|HasCategory| |#2| (QUOTE (-1091))) (|HasCategory| |#2| (QUOTE (-1051))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4505)) (|HasAttribute| |#2| (QUOTE -4508)) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-571)))) (-168 R) ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#1|) (|:| |phi| |#1|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(x, r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#1| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#1| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#1| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#1| |#1|) "\\spad{complex(x,y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) -((-4502 -2215 (|has| |#1| (-571)) (-12 (|has| |#1| (-319)) (|has| |#1| (-939)))) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4505 |has| |#1| (-6 -4505)) (-4508 |has| |#1| (-6 -4508)) (-3005 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) +((-4502 -2217 (|has| |#1| (-571)) (-12 (|has| |#1| (-319)) (|has| |#1| (-939)))) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4505 |has| |#1| (-6 -4505)) (-4508 |has| |#1| (-6 -4508)) (-3011 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-169 RR PR) ((|constructor| (NIL "\\indented{1}{Author:} Date Created: Date Last Updated: Basic Functions: Related Constructors: Complex,{} UnivariatePolynomial Also See: AMS Classifications: Keywords: complex,{} polynomial factorization,{} factor References:")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} factorizes the polynomial \\spad{p} with complex coefficients."))) @@ -614,8 +614,8 @@ NIL NIL (-171 R) ((|constructor| (NIL "\\spadtype {Complex(R)} creates the domain of elements of the form \\spad{a + b * i} where \\spad{a} and \\spad{b} come from the ring \\spad{R},{} and \\spad{i} is a new element such that \\spad{i**2 = -1}."))) -((-4502 -2215 (|has| |#1| (-571)) (-12 (|has| |#1| (-319)) (|has| |#1| (-939)))) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4505 |has| |#1| (-6 -4505)) (-4508 |has| |#1| (-6 -4508)) (-3005 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . 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T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . 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(|map| (((|Complex| |#2|) (|Mapping| |#2| |#1|) (|Complex| |#1|)) "\\spad{map(f,u)} maps \\spad{f} onto real and imaginary parts of \\spad{u}."))) NIL @@ -815,7 +815,7 @@ NIL (-221) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions.")) (|decimal| (($ (|Fraction| (|Integer|))) "\\spad{decimal(r)} converts a rational number to a decimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(d)} returns the fractional part of a decimal expansion."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2215 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2217 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) (-222) ((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition `d'.")) (|signature| (((|Signature|) $) "\\spad{signature(d)} returns the signature of the operation being defined. Note that this list may be partial in that it contains only the types actually specified in the definition.")) (|head| (((|HeadAst|) $) "\\spad{head(d)} returns the head of the definition `d'. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) NIL @@ -835,7 +835,7 @@ NIL (-226 S) ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|List| |#1|)) "\\spad{dequeue([x,y,...,z])} creates a dequeue with first (top or front) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-227 |CoefRing| |listIndVar|) ((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|map| (($ (|Mapping| (|Expression| |#1|) (|Expression| |#1|)) $) "\\spad{map(f,df)} replaces each coefficient \\spad{x} of differential form \\spad{df} by \\spad{f(x)}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) ((-4506 . T)) @@ -846,7 +846,7 @@ NIL NIL (-229) ((|constructor| (NIL "\\indented{1}{\\spadtype{DoubleFloat} is intended to make accessible} hardware floating point arithmetic in \\Language{},{} either native double precision,{} or IEEE. On most machines,{} there will be hardware support for the arithmetic operations: \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and possibly also the \\spadfunFrom{sqrt}{DoubleFloat} operation. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat},{} \\spadfunFrom{atan}{DoubleFloat} are normally coded in software based on minimax polynomial/rational approximations. Note that under Lisp/VM,{} \\spadfunFrom{atan}{DoubleFloat} is not available at this time. Some general comments about the accuracy of the operations: the operations \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and \\spadfunFrom{sqrt}{DoubleFloat} are expected to be fully accurate. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat} and \\spadfunFrom{atan}{DoubleFloat} are not expected to be fully accurate. In particular,{} \\spadfunFrom{sin}{DoubleFloat} and \\spadfunFrom{cos}{DoubleFloat} will lose all precision for large arguments. \\blankline The \\spadtype{Float} domain provides an alternative to the \\spad{DoubleFloat} domain. It provides an arbitrary precision model of floating point arithmetic. This means that accuracy problems like those above are eliminated by increasing the working precision where necessary. \\spadtype{Float} provides some special functions such as \\spadfunFrom{erf}{DoubleFloat},{} the error function in addition to the elementary functions. The disadvantage of \\spadtype{Float} is that it is much more expensive than small floats when the latter can be used.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)} (that is,{} \\spad{|(r-f)/f| < b**(-n)}).") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|Beta| (($ $ $) "\\spad{Beta(x,y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm with base 10 for \\spad{x}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm with base 2 for \\spad{x}.")) (|exp1| (($) "\\spad{exp1()} returns the natural log base \\spad{2.718281828...}.")) (** (($ $ $) "\\spad{x ** y} returns the \\spad{y}th power of \\spad{x} (equal to \\spad{exp(y log x)}).")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) -((-2993 . T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) +((-3000 . T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-230) ((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}"))) @@ -855,7 +855,7 @@ NIL (-231 R) ((|constructor| (NIL "\\indented{1}{A Denavit-Hartenberg Matrix is a 4x4 Matrix of the form:} \\indented{1}{\\spad{nx ox ax px}} \\indented{1}{\\spad{ny oy ay py}} \\indented{1}{\\spad{nz oz az pz}} \\indented{2}{\\spad{0\\space{2}0\\space{2}0\\space{2}1}} (\\spad{n},{} \\spad{o},{} and a are the direction cosines)")) (|translate| (($ |#1| |#1| |#1|) "\\spad{translate(X,Y,Z)} returns a dhmatrix for translation by \\spad{X},{} \\spad{Y},{} and \\spad{Z}")) (|scale| (($ |#1| |#1| |#1|) "\\spad{scale(sx,sy,sz)} returns a dhmatrix for scaling in the \\spad{X},{} \\spad{Y} and \\spad{Z} directions")) (|rotatez| (($ |#1|) "\\spad{rotatez(r)} returns a dhmatrix for rotation about axis \\spad{Z} for \\spad{r} degrees")) (|rotatey| (($ |#1|) "\\spad{rotatey(r)} returns a dhmatrix for rotation about axis \\spad{Y} for \\spad{r} degrees")) (|rotatex| (($ |#1|) "\\spad{rotatex(r)} returns a dhmatrix for rotation about axis \\spad{X} for \\spad{r} degrees")) (|identity| (($) "\\spad{identity()} create the identity dhmatrix")) (* (((|Point| |#1|) $ (|Point| |#1|)) "\\spad{t*p} applies the dhmatrix \\spad{t} to point \\spad{p}"))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4511 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4511 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-232 A S) ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) NIL @@ -904,19 +904,19 @@ NIL ((|constructor| (NIL "any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets: \\indented{3}{1. all minimal inhomogeneous solutions} \\indented{3}{2. all minimal homogeneous solutions} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation"))) NIL NIL -(-244 S -4332 R) +(-244 S -4330 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#3| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) NIL ((|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (QUOTE (-815))) (|HasCategory| |#3| (QUOTE (-871))) (|HasAttribute| |#3| (QUOTE -4506)) (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (QUOTE (-381))) (|HasCategory| |#3| (QUOTE (-748))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-133))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1080))) (|HasCategory| |#3| (QUOTE (-1132)))) -(-245 -4332 R) +(-245 -4330 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#2| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) ((-4503 |has| |#2| (-1080)) (-4504 |has| |#2| (-1080)) (-4506 |has| |#2| (-6 -4506)) (-4509 . T)) NIL -(-246 -4332 R) +(-246 -4330 R) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation."))) ((-4503 |has| |#2| (-1080)) (-4504 |has| |#2| (-1080)) (-4506 |has| |#2| (-6 -4506)) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-381))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-748))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-815))) 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(QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#2| (QUOTE (-376))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-1080)))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-376)))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-1080))) (|HasCategory| |#2| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-815))) (-2215 (|HasCategory| |#2| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-871)))) (|HasCategory| |#2| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-381))) (-2215 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208))))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-175)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE 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The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) NIL NIL @@ -939,7 +939,7 @@ NIL (-252 S) ((|constructor| (NIL "This domain provides some nice functions on lists")) (|elt| (((|NonNegativeInteger|) $ "count") "\\axiom{\\spad{l}.\"count\"} returns the number of elements in \\axiom{\\spad{l}}.") (($ $ "sort") "\\axiom{\\spad{l}.sort} returns \\axiom{\\spad{l}} with elements sorted. Note: \\axiom{\\spad{l}.sort = sort(\\spad{l})}") (($ $ "unique") "\\axiom{\\spad{l}.unique} returns \\axiom{\\spad{l}} with duplicates removed. Note: \\axiom{\\spad{l}.unique = removeDuplicates(\\spad{l})}.")) (|datalist| (($ (|List| |#1|)) "\\spad{datalist(l)} creates a datalist from \\spad{l}"))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-253 M) ((|constructor| (NIL "DiscreteLogarithmPackage implements help functions for discrete logarithms in monoids using small cyclic groups.")) (|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,a,p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank's algorithm. Note: this is a subroutine of the function \\spadfun{discreteLog}.")) (** ((|#1| |#1| (|Integer|)) "\\spad{x ** n} returns \\spad{x} raised to the integer power \\spad{n}"))) NIL @@ -951,7 +951,7 @@ NIL (-255 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is lexicographic specified by the variable list parameter with the most significant variable first in the list.")) 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T)) -((|HasCategory| |#2| (QUOTE (-939))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4507)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) +((|HasCategory| |#2| (QUOTE (-939))) (-2217 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2217 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4507)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) (-256) ((|showSummary| (((|Void|) $) "\\spad{showSummary(d)} prints out implementation detail information of domain `d'.")) (|reflect| (($ (|ConstructorCall| (|DomainConstructor|))) "\\spad{reflect cc} returns the domain object designated by the ConstructorCall syntax `cc'. The constructor implied by `cc' must be known to the system since it is instantiated.")) (|reify| (((|ConstructorCall| (|DomainConstructor|)) $) "\\spad{reify(d)} returns the abstract syntax for the domain `x'.")) (|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Create: October 18,{} 2007. Date Last Updated: December 20,{} 2008. Basic Operations: coerce,{} reify Related Constructors: Type,{} Syntax,{} OutputForm Also See: Type,{} ConstructorCall") (((|DomainConstructor|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object `d'."))) 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(QUOTE (-887)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (-261 A R S V E) ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p, s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p, s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p, s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} := makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) NIL @@ -1031,7 +1031,7 @@ NIL (-275 R S V) ((|constructor| (NIL "\\spadtype{DifferentialSparseMultivariatePolynomial} implements an ordinary differential polynomial ring by combining a domain belonging to the category \\spadtype{DifferentialVariableCategory} with the domain \\spadtype{SparseMultivariatePolynomial}. \\blankline"))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-939))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#3| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#3| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#3| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-939))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#3| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#3| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#3| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) (-276 A S) ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s, n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) NIL @@ -1132,7 +1132,7 @@ 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 -(-301 S R |Mod| -1744 -3549 |exactQuo|) +(-301 S R |Mod| -1354 -4237 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) ((-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL @@ -1150,8 +1150,8 @@ NIL NIL (-305 S) ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the lhs of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations \\spad{e1} and \\spad{e2}.")) (|factorAndSplit| (((|List| $) $) "\\spad{factorAndSplit(eq)} make the right hand side 0 and factors the new left hand side. Each factor is equated to 0 and put into the resulting list without repetitions.")) (|rightOne| (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side.") (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side,{} if possible.")) (|leftOne| (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side.") (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side,{} if possible.")) (* (($ $ |#1|) "\\spad{eqn*x} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.") (($ |#1| $) "\\spad{x*eqn} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.")) (- (($ $ |#1|) "\\spad{eqn-x} produces a new equation by subtracting \\spad{x} from both sides of equation eqn.") (($ |#1| $) "\\spad{x-eqn} produces a new equation by subtracting both sides of equation eqn from \\spad{x}.")) (|rightZero| (($ $) "\\spad{rightZero(eq)} subtracts the right hand side.")) (|leftZero| (($ $) "\\spad{leftZero(eq)} subtracts the left hand side.")) (+ (($ $ |#1|) "\\spad{eqn+x} produces a new equation by adding \\spad{x} to both sides of equation eqn.") (($ |#1| $) "\\spad{x+eqn} produces a new equation by adding \\spad{x} to both sides of equation eqn.")) (|eval| (($ $ (|List| $)) "\\spad{eval(eqn, [x1=v1, ... xn=vn])} replaces \\spad{xi} by \\spad{vi} in equation \\spad{eqn}.") (($ $ $) "\\spad{eval(eqn, x=f)} replaces \\spad{x} by \\spad{f} in equation \\spad{eqn}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,eqn)} constructs a new equation by applying \\spad{f} to both sides of \\spad{eqn}.")) (|rhs| ((|#1| $) "\\spad{rhs(eqn)} returns the right hand side of equation \\spad{eqn}.")) (|lhs| ((|#1| $) "\\spad{lhs(eqn)} returns the left hand side of equation \\spad{eqn}.")) (|swap| (($ $) "\\spad{swap(eq)} interchanges left and right hand side of equation \\spad{eq}.")) (|equation| (($ |#1| |#1|) "\\spad{equation(a,b)} creates an equation.")) (= (($ |#1| |#1|) "\\spad{a=b} creates an equation."))) -((-4506 -2215 (|has| |#1| (-1080)) (|has| |#1| (-487))) (-4503 |has| |#1| (-1080)) (-4504 |has| |#1| (-1080))) -((|HasCategory| |#1| (QUOTE (-376))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2215 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748)))) (|HasCategory| |#1| (QUOTE (-487))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1143)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-310))) (-2215 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487)))) (-2215 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748)))) (-2215 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-748)))) +((-4506 -2217 (|has| |#1| (-1080)) (|has| |#1| (-487))) (-4503 |has| |#1| (-1080)) (-4504 |has| |#1| (-1080))) +((|HasCategory| |#1| (QUOTE (-376))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-1080)))) (-2217 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748)))) (|HasCategory| |#1| (QUOTE (-487))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1143)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-310))) (-2217 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487)))) (-2217 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748)))) (-2217 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-748)))) (-306 S R) ((|constructor| (NIL "This package provides operations for mapping the sides of equations.")) (|map| (((|Equation| |#2|) (|Mapping| |#2| |#1|) (|Equation| |#1|)) "\\spad{map(f,eq)} returns an equation where \\spad{f} is applied to the sides of \\spad{eq}"))) NIL @@ -1159,7 +1159,7 @@ NIL (-307 |Key| |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are compared using \\spadfun{eq?}. Thus keys are considered equal only if they are the same instance of a structure."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#2|)))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#2|)))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102)))) (-308) ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) NIL @@ -1231,11 +1231,11 @@ NIL (-325 R FE |var| |cen|) ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent essential singularities of functions. Objects in this domain are quotients of sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) "\\spad{coerce(f)} converts a \\spadtype{UnivariatePuiseuxSeries} to an \\spadtype{ExponentialExpansion}.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> a+,f(var))}."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-939))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-1051))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-842))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-871))) (-2215 (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-842))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-871)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-1183))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-239))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-240))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -528) (QUOTE (-1208)) (|%list| (QUOTE -1285) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -321) (|%list| (QUOTE -1285) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -298) (|%list| (QUOTE -1285) (|devaluate| |#1|) 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(-842))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-871))) (-2217 (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-842))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-871)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-1183))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-239))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-240))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -528) (QUOTE (-1208)) (|%list| (QUOTE -1285) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -321) (|%list| (QUOTE -1285) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -298) (|%list| (QUOTE -1285) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (|%list| (QUOTE -1285) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-319))) (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-559))) (-12 (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-939))) (|HasCategory| $ (QUOTE (-147)))) (-2217 (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-147))) (-12 (|HasCategory| (-1285 |#1| |#2| |#3| |#4|) (QUOTE (-939))) (|HasCategory| $ (QUOTE (-147)))))) (-326 R) ((|constructor| (NIL "Expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} \\undocumented{}")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} \\undocumented{}")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) \\undocumented{}")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) -((-4506 -2215 (-12 (|has| |#1| (-571)) (-2215 (|has| |#1| (-1080)) (|has| |#1| (-487)))) (|has| |#1| (-1080)) (|has| |#1| (-487))) (-4504 |has| |#1| (-175)) (-4503 |has| |#1| (-175)) ((-4511 "*") |has| |#1| (-571)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-571)) (-4501 |has| |#1| (-571))) -((-2215 (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE 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(QUOTE (-1080))) (|HasCategory| $ (|%list| (QUOTE -1069) (QUOTE (-560))))) (-327 R S) ((|constructor| (NIL "Lifting of maps to Expressions. Date Created: 16 Jan 1989 Date Last Updated: 22 Jan 1990")) (|map| (((|Expression| |#2|) (|Mapping| |#2| |#1|) (|Expression| |#1|)) "\\spad{map(f, e)} applies \\spad{f} to all the constants appearing in \\spad{e}."))) NIL @@ -1255,7 +1255,7 @@ NIL (-331 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."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4503 . T) (-4504 . T) (-4506 . 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(|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,b1),...,(am,bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f, n)} returns \\spad{(p, r, [r1,...,rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}rm are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1287,7 +1287,7 @@ NIL (-339 S) ((|constructor| (NIL "\\indented{1}{A FlexibleArray is the notion of an array intended to allow for growth} at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets."))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-340 S -1633) ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\$SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#2|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#2|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\$SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#2| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(q**(d*i)) for \\spad{i} in 0..n/d])") ((|#2| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#2|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}vn are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}'s with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\$ as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\$ as \\spad{F}-vectorspace."))) NIL @@ -1343,7 +1343,7 @@ NIL (-353 |p| |n|) ((|constructor| (NIL "FiniteField(\\spad{p},{}\\spad{n}) implements finite fields with p**n elements. This packages checks that \\spad{p} is prime. For a non-checking version,{} see \\spadtype{InnerFiniteField}."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| (-935 |#1|) (QUOTE (-147))) (|HasCategory| (-935 |#1|) (QUOTE (-381)))) (|HasCategory| (-935 |#1|) (QUOTE (-149))) (|HasCategory| (-935 |#1|) (QUOTE (-381))) (|HasCategory| (-935 |#1|) (QUOTE (-147)))) +((-2217 (|HasCategory| (-935 |#1|) (QUOTE (-147))) (|HasCategory| (-935 |#1|) (QUOTE (-381)))) (|HasCategory| (-935 |#1|) (QUOTE (-149))) (|HasCategory| (-935 |#1|) (QUOTE (-381))) (|HasCategory| (-935 |#1|) (QUOTE (-147)))) (-354 S -1633 UP UPUP) ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#2|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#2|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in \\spad{u1},{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#3|) (|:| |derivden| |#3|) (|:| |gd| |#3|)) $ (|Mapping| |#3| |#3|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#3| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#3| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#2| $ |#2| |#2|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#3| |#3|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#3|)) (|:| |den| |#3|)) (|Mapping| |#3| |#3|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#3|) |#3|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#3|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#2|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#3|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#2|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#3|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#2|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#3|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#2|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#2| |#2|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) NIL @@ -1359,15 +1359,15 @@ NIL (-357 |p| |extdeg|) ((|constructor| (NIL "FiniteFieldCyclicGroup(\\spad{p},{}\\spad{n}) implements a finite field extension of degee \\spad{n} over the prime field with \\spad{p} elements. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. The Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| (-935 |#1|) (QUOTE (-147))) (|HasCategory| (-935 |#1|) (QUOTE (-381)))) (|HasCategory| (-935 |#1|) (QUOTE (-149))) (|HasCategory| (-935 |#1|) (QUOTE (-381))) (|HasCategory| (-935 |#1|) (QUOTE (-147)))) +((-2217 (|HasCategory| (-935 |#1|) (QUOTE (-147))) (|HasCategory| (-935 |#1|) (QUOTE (-381)))) (|HasCategory| (-935 |#1|) (QUOTE (-149))) (|HasCategory| (-935 |#1|) (QUOTE (-381))) (|HasCategory| (-935 |#1|) (QUOTE (-147)))) (-358 GF |defpol|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(GF,{}defpol) implements a finite extension field of the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial {\\em defpol},{} which MUST be primitive (user responsibility). Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field it is used to perform additions in the field quickly."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2217 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-359 GF |extdeg|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtension(GF,{}\\spad{n}) implements a extension of degree \\spad{n} over the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2217 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-360 GF) ((|constructor| (NIL "FiniteFieldFunctions(GF) is a package with functions concerning finite extension fields of the finite ground field {\\em GF},{} \\spadignore{e.g.} Zech logarithms.")) (|createLowComplexityNormalBasis| (((|Union| (|SparseUnivariatePolynomial| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) (|PositiveInteger|)) "\\spad{createLowComplexityNormalBasis(n)} tries to find a a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix If no low complexity basis is found it calls \\axiomFunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}(\\spad{n}) to produce a normal polynomial of degree {\\em n} over {\\em GF}")) (|createLowComplexityTable| (((|Union| (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) "failed") (|PositiveInteger|)) "\\spad{createLowComplexityTable(n)} tries to find a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix Fails,{} if it does not find a low complexity basis")) (|sizeMultiplication| (((|NonNegativeInteger|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{sizeMultiplication(m)} returns the number of entries of the multiplication table {\\em m}.")) (|createMultiplicationMatrix| (((|Matrix| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{createMultiplicationMatrix(m)} forms the multiplication table {\\em m} into a matrix over the ground field.")) (|createMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createMultiplicationTable(f)} generates a multiplication table for the normal basis of the field extension determined by {\\em f}. This is needed to perform multiplications between elements represented as coordinate vectors to this basis. See \\spadtype{FFNBP},{} \\spadtype{FFNBX}.")) (|createZechTable| (((|PrimitiveArray| (|SingleInteger|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createZechTable(f)} generates a Zech logarithm table for the cyclic group representation of a extension of the ground field by the primitive polynomial {\\em f(x)},{} \\spadignore{i.e.} \\spad{Z(i)},{} defined by {\\em x**Z(i) = 1+x**i} is stored at index \\spad{i}. This is needed in particular to perform addition of field elements in finite fields represented in this way. See \\spadtype{FFCGP},{} \\spadtype{FFCGX}."))) NIL @@ -1391,19 +1391,19 @@ NIL (-365 |p| |extdeg|) ((|constructor| (NIL "FiniteFieldNormalBasis(\\spad{p},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the prime field with \\spad{p} elements. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial created by \\spadfunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}.")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: The time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| (|PrimeField| |#1|))) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| (|PrimeField| |#1|)) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| (-935 |#1|) (QUOTE (-147))) (|HasCategory| (-935 |#1|) (QUOTE (-381)))) (|HasCategory| (-935 |#1|) (QUOTE (-149))) (|HasCategory| (-935 |#1|) (QUOTE (-381))) (|HasCategory| (-935 |#1|) (QUOTE (-147)))) +((-2217 (|HasCategory| (-935 |#1|) (QUOTE (-147))) (|HasCategory| (-935 |#1|) (QUOTE (-381)))) (|HasCategory| (-935 |#1|) (QUOTE (-149))) (|HasCategory| (-935 |#1|) (QUOTE (-381))) (|HasCategory| (-935 |#1|) (QUOTE (-147)))) (-366 GF |uni|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(GF,{}uni) implements a finite extension of the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to. a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element,{} where \\spad{q} is the size of {\\em GF}. The normal element is chosen as a root of the extension polynomial,{} which MUST be normal over {\\em GF} (user responsibility)")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2217 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-367 GF |extdeg|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(GF,{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial,{} created by {\\em createNormalPoly} from \\spadtype{FiniteFieldPolynomialPackage}")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2217 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-368 GF |defpol|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(GF,{} defpol) implements the extension of the finite field {\\em GF} generated by the extension polynomial {\\em defpol} which MUST be irreducible. Note: the user has the responsibility to ensure that {\\em defpol} is irreducible."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2217 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-369 GF) ((|constructor| (NIL "This package provides a number of functions for generating,{} counting and testing irreducible,{} normal,{} primitive,{} random polynomials over finite fields.")) (|reducedQPowers| (((|PrimitiveArray| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{reducedQPowers(f)} generates \\spad{[x,x**q,x**(q**2),...,x**(q**(n-1))]} reduced modulo \\spad{f} where \\spad{q = size()\\$GF} and \\spad{n = degree f}.")) (|leastAffineMultiple| (((|SparseUnivariatePolynomial| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{leastAffineMultiple(f)} computes the least affine polynomial which is divisible by the polynomial \\spad{f} over the finite field {\\em GF},{} \\spadignore{i.e.} a polynomial whose exponents are 0 or a power of \\spad{q},{} the size of {\\em GF}.")) (|random| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{random(m,n)}\\$FFPOLY(GF) generates a random monic polynomial of degree \\spad{d} over the finite field {\\em GF},{} \\spad{d} between \\spad{m} and \\spad{n}.") (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{random(n)}\\$FFPOLY(GF) generates a random monic polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|nextPrimitiveNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitiveNormalPoly(f)} yields the next primitive normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or,{} in case these numbers are equal,{} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. If these numbers are equals,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g},{} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are coefficients according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextNormalPrimitivePoly(\\spad{f}).")) (|nextNormalPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPrimitivePoly(f)} yields the next normal primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or if {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. Otherwise,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextPrimitiveNormalPoly(\\spad{f}).")) (|nextNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPoly(f)} yields the next normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than that for \\spad{g}. In case these numbers are equal,{} \\spad{f < g} if if the number of monomials of \\spad{f} is less that for \\spad{g} or if the list of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitivePoly(f)} yields the next primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g}. If these values are equal,{} then \\spad{f < g} if if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextIrreduciblePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextIrreduciblePoly(f)} yields the next monic irreducible polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than this number for \\spad{g}. If \\spad{f} and \\spad{g} have the same number of monomials,{} the lists of exponents are compared lexicographically. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|createPrimitiveNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitiveNormalPoly(n)}\\$FFPOLY(GF) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. polynomial of degree \\spad{n} over the field {\\em GF}.")) (|createNormalPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPrimitivePoly(n)}\\$FFPOLY(GF) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. Note: this function is equivalent to createPrimitiveNormalPoly(\\spad{n})")) (|createNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPoly(n)}\\$FFPOLY(GF) generates a normal polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(GF) generates a primitive polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(GF) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(GF) yields the number of normal polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(GF) yields the number of primitive polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(GF) yields the number of monic irreducible univariate polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|normal?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{normal?(f)} tests whether the polynomial \\spad{f} over a finite field is normal,{} \\spadignore{i.e.} its roots are linearly independent over the field.")) (|primitive?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{primitive?(f)} tests whether the polynomial \\spad{f} over a finite field is primitive,{} \\spadignore{i.e.} all its roots are primitive."))) NIL @@ -1419,7 +1419,7 @@ NIL (-372 GF |n|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(GF,{} \\spad{n}) implements an extension of the finite field {\\em GF} of degree \\spad{n} generated by the extension polynomial constructed by \\spadfunFrom{createIrreduciblePoly}{FiniteFieldPolynomialPackage} from \\spadtype{FiniteFieldPolynomialPackage}."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2217 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-373 R |ls|) ((|constructor| (NIL "This is just an interface between several packages and domains. The goal is to compute lexicographical Groebner bases of sets of polynomial with type \\spadtype{Polynomial R} by the {\\em FGLM} algorithm if this is possible (\\spadignore{i.e.} if the input system generates a zero-dimensional ideal).")) (|groebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|))) "\\axiom{groebner(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}}. If \\axiom{\\spad{lq1}} generates a zero-dimensional ideal then the {\\em FGLM} strategy is used,{} otherwise the {\\em Sugar} strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|Polynomial| |#1|)) "failed") (|List| (|Polynomial| |#1|))) "\\axiom{fglmIfCan(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}} by using the {\\em FGLM} strategy,{} if \\axiom{zeroDimensional?(\\spad{lq1})} holds.")) (|zeroDimensional?| (((|Boolean|) (|List| (|Polynomial| |#1|))) "\\axiom{zeroDimensional?(\\spad{lq1})} returns \\spad{true} iff \\axiom{\\spad{lq1}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables of \\axiom{ls}."))) NIL @@ -1494,7 +1494,7 @@ NIL NIL (-391) ((|constructor| (NIL "\\spadtype{Float} implements arbitrary precision floating point arithmetic. The number of significant digits of each operation can be set to an arbitrary value (the default is 20 decimal digits). The operation \\spad{float(mantissa,exponent,\\spadfunFrom{base}{FloatingPointSystem})} for integer \\spad{mantissa},{} \\spad{exponent} specifies the number \\spad{mantissa * \\spadfunFrom{base}{FloatingPointSystem} ** exponent} The underlying representation for floats is binary not decimal. The implications of this are described below. \\blankline The model adopted is that arithmetic operations are rounded to to nearest unit in the last place,{} that is,{} accurate to within \\spad{2**(-\\spadfunFrom{bits}{FloatingPointSystem})}. Also,{} the elementary functions and constants are accurate to one unit in the last place. A float is represented as a record of two integers,{} the mantissa and the exponent. The \\spadfunFrom{base}{FloatingPointSystem} of the representation is binary,{} hence a \\spad{Record(m:mantissa,e:exponent)} represents the number \\spad{m * 2 ** e}. Though it is not assumed that the underlying integers are represented with a binary \\spadfunFrom{base}{FloatingPointSystem},{} the code will be most efficient when this is the the case (this is \\spad{true} in most implementations of Lisp). The decision to choose the \\spadfunFrom{base}{FloatingPointSystem} to be binary has some unfortunate consequences. First,{} decimal numbers like 0.3 cannot be represented exactly. Second,{} there is a further loss of accuracy during conversion to decimal for output. To compensate for this,{} if \\spad{d} digits of precision are specified,{} \\spad{1 + ceiling(log2 d)} bits are used. Two numbers that are displayed identically may therefore be not equal. On the other hand,{} a significant efficiency loss would be incurred if we chose to use a decimal \\spadfunFrom{base}{FloatingPointSystem} when the underlying integer base is binary. \\blankline Algorithms used: For the elementary functions,{} the general approach is to apply identities so that the taylor series can be used,{} and,{} so that it will converge within \\spad{O( sqrt n )} steps. For example,{} using the identity \\spad{exp(x) = exp(x/2)**2},{} we can compute \\spad{exp(1/3)} to \\spad{n} digits of precision as follows. We have \\spad{exp(1/3) = exp(2 ** (-sqrt s) / 3) ** (2 ** sqrt s)}. The taylor series will converge in less than sqrt \\spad{n} steps and the exponentiation requires sqrt \\spad{n} multiplications for a total of \\spad{2 sqrt n} multiplications. Assuming integer multiplication costs \\spad{O( n**2 )} the overall running time is \\spad{O( sqrt(n) n**2 )}. This approach is the best known approach for precisions up to about 10,{}000 digits at which point the methods of Brent which are \\spad{O( log(n) n**2 )} become competitive. Note also that summing the terms of the taylor series for the elementary functions is done using integer operations. This avoids the overhead of floating point operations and results in efficient code at low precisions. This implementation makes no attempt to reuse storage,{} relying on the underlying system to do \\spadgloss{garbage collection}. \\spad{I} estimate that the efficiency of this package at low precisions could be improved by a factor of 2 if in-place operations were available. \\blankline Running times: in the following,{} \\spad{n} is the number of bits of precision \\indented{5}{\\spad{*},{} \\spad{/},{} \\spad{sqrt},{} \\spad{pi},{} \\spad{exp1},{} \\spad{log2},{} \\spad{log10}: \\spad{ O( n**2 )}} \\indented{5}{\\spad{exp},{} \\spad{log},{} \\spad{sin},{} \\spad{atan}:\\space{2}\\spad{ O( sqrt(n) n**2 )}} The other elementary functions are coded in terms of the ones above.")) (|outputSpacing| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputSpacing(n)} inserts a space after \\spad{n} (default 10) digits on output; outputSpacing(0) means no spaces are inserted.")) (|outputGeneral| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputGeneral(n)} sets the output mode to general notation with \\spad{n} significant digits displayed.") (((|Void|)) "\\spad{outputGeneral()} sets the output mode (default mode) to general notation; numbers will be displayed in either fixed or floating (scientific) notation depending on the magnitude.")) (|outputFixed| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFixed(n)} sets the output mode to fixed point notation,{} with \\spad{n} digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFixed()} sets the output mode to fixed point notation; the output will contain a decimal point.")) (|outputFloating| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFloating(n)} sets the output mode to floating (scientific) notation with \\spad{n} significant digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFloating()} sets the output mode to floating (scientific) notation,{} \\spadignore{i.e.} \\spad{mantissa * 10 exponent} is displayed as \\spad{0.mantissa E exponent}.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|exp1| (($) "\\spad{exp1()} returns exp 1: \\spad{2.7182818284...}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm for \\spad{x} to base 10.") (($) "\\spad{log10()} returns \\spad{ln 10}: \\spad{2.3025809299...}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm for \\spad{x} to base 2.") (($) "\\spad{log2()} returns \\spad{ln 2},{} \\spadignore{i.e.} \\spad{0.6931471805...}.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)},{} that is \\spad{|(r-f)/f| < b**(-n)}.") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(x,n)} adds \\spad{n} to the exponent of float \\spad{x}.")) (|relerror| (((|Integer|) $ $) "\\spad{relerror(x,y)} computes the absolute value of \\spad{x - y} divided by \\spad{y},{} when \\spad{y \\~= 0}.")) (|normalize| (($ $) "\\spad{normalize(x)} normalizes \\spad{x} at current precision.")) (** (($ $ $) "\\spad{x ** y} computes \\spad{exp(y log x)} where \\spad{x >= 0}.")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) -((-4492 . T) (-4500 . T) (-2993 . T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) +((-4492 . T) (-4500 . T) (-3000 . T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-392 |Par|) ((|constructor| (NIL "\\indented{3}{This is a package for the approximation of complex solutions for} systems of equations of rational functions with complex rational coefficients. The results are expressed as either complex rational numbers or complex floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|complexRoots| (((|List| (|List| (|Complex| |#1|))) (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) (|List| (|Symbol|)) |#1|) "\\spad{complexRoots(lrf, lv, eps)} finds all the complex solutions of a list of rational functions with rational number coefficients with respect the the variables appearing in \\spad{lv}. Each solution is computed to precision eps and returned as list corresponding to the order of variables in \\spad{lv}.") (((|List| (|Complex| |#1|)) (|Fraction| (|Polynomial| (|Complex| (|Integer|)))) |#1|) "\\spad{complexRoots(rf, eps)} finds all the complex solutions of a univariate rational function with rational number coefficients. The solutions are computed to precision eps.")) (|complexSolve| (((|List| (|Equation| (|Polynomial| (|Complex| |#1|)))) (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) |#1|) "\\spad{complexSolve(eq,eps)} finds all the complex solutions of the equation \\spad{eq} of rational functions with rational rational coefficients with respect to all the variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| (|Complex| |#1|)))) (|Fraction| (|Polynomial| (|Complex| (|Integer|)))) |#1|) "\\spad{complexSolve(p,eps)} find all the complex solutions of the rational function \\spad{p} with complex rational coefficients with respect to all the variables appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| (|Complex| |#1|))))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))) |#1|) "\\spad{complexSolve(leq,eps)} finds all the complex solutions to precision \\spad{eps} of the system \\spad{leq} of equations of rational functions over complex rationals with respect to all the variables appearing in lp.") (((|List| (|List| (|Equation| (|Polynomial| (|Complex| |#1|))))) (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) |#1|) "\\spad{complexSolve(lp,eps)} finds all the complex solutions to precision \\spad{eps} of the system \\spad{lp} of rational functions over the complex rationals with respect to all the variables appearing in \\spad{lp}."))) @@ -1576,7 +1576,7 @@ NIL ((|constructor| (NIL "\\axiomType{FortranFunctionCategory} is the category of arguments to NAG Library routines which return (sets of) function values.")) (|retractIfCan| (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Polynomial| (|Float|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Expression| (|Integer|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Expression| (|Float|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|retract| (($ (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Polynomial| (|Integer|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Polynomial| (|Float|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Expression| (|Integer|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Expression| (|Float|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}"))) NIL NIL -(-412 -3955 |returnType| -4073 |symbols|) +(-412 -3956 |returnType| -3421 |symbols|) ((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} \\undocumented{}") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} \\undocumented{}") (($ (|FortranCode|)) "\\spad{coerce(fc)} \\undocumented{}"))) NIL NIL @@ -1602,12 +1602,12 @@ NIL ((|HasAttribute| |#1| (QUOTE -4492)) (|HasAttribute| |#1| (QUOTE -4500))) (-418) ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\"+\") does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling's precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling's precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note: \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,e,b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) -((-2993 . T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) +((-3000 . T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-419 R) ((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and gcd are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps the function \\userfun{\\spad{fn}} across the factors of \\spadvar{\\spad{u}} and creates a new factored object. Note: this clears the information flags (sets them to \"nil\") because the effect of \\userfun{\\spad{fn}} is clearly not known in general.")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\spad{unit(u)} extracts the unit part of the factorization.")) (|flagFactor| (($ |#1| (|Integer|) (|Union| "nil" "sqfr" "irred" "prime")) "\\spad{flagFactor(base,exponent,flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\spad{sqfrFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be square-free (flag = \"sqfr\").")) (|primeFactor| (($ |#1| (|Integer|)) "\\spad{primeFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be prime (flag = \"prime\").")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\spad{numberOfFactors(u)} returns the number of factors in \\spadvar{\\spad{u}}.")) (|nthFlag| (((|Union| "nil" "sqfr" "irred" "prime") $ (|Integer|)) "\\spad{nthFlag(u,n)} returns the information flag of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} \"nil\" is returned.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(u,n)} returns the base of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 1 is returned. If \\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\spad{nthExponent(u,n)} returns the exponent of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 0 is returned.")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\spad{irreducibleFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be irreducible (flag = \"irred\").")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\spad{factors(u)} returns a list of the factors in a form suitable for iteration. That is,{} it returns a list where each element is a record containing a base and exponent. The original object is the product of all the factors and the unit (which can be extracted by \\axiom{unit(\\spad{u})}).")) (|nilFactor| (($ |#1| (|Integer|)) "\\spad{nilFactor(base,exponent)} creates a factored object with a single factor with no information about the kind of \\spad{base} (flag = \"nil\").")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\spad{factorList(u)} returns the list of factors with flags (for use by factoring code).")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\spad{makeFR(unit,listOfFactors)} creates a factored object (for use by factoring code).")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of the first factor of \\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.")) (|expand| ((|#1| $) "\\spad{expand(f)} multiplies the unit and factors together,{} yielding an \"unfactored\" object. Note: this is purposely not called \\spadfun{coerce} which would cause the interpreter to do this automatically."))) ((-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -321) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -298) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1253))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-1253)))) (|HasCategory| |#1| (QUOTE (-1051))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-466)))) +((|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -321) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -298) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1253))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-1253)))) (|HasCategory| |#1| (QUOTE (-1051))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-466)))) (-420 R S) ((|constructor| (NIL "\\spadtype{FactoredFunctions2} contains functions that involve factored objects whose underlying domains may not be the same. For example,{} \\spadfun{map} might be used to coerce an object of type \\spadtype{Factored(Integer)} to \\spadtype{Factored(Complex(Integer))}.")) (|map| (((|Factored| |#2|) (|Mapping| |#2| |#1|) (|Factored| |#1|)) "\\spad{map(fn,u)} is used to apply the function \\userfun{\\spad{fn}} to every factor of \\spadvar{\\spad{u}}. The new factored object will have all its information flags set to \"nil\". This function is used,{} for example,{} to coerce every factor base to another type."))) NIL @@ -1615,7 +1615,7 @@ NIL (-421 S) ((|constructor| (NIL "Fraction takes an IntegralDomain \\spad{S} and produces the domain of Fractions with numerators and denominators from \\spad{S}. If \\spad{S} is also a GcdDomain,{} then gcd's between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical."))) ((-4496 -12 (|has| |#1| (-6 -4507)) (|has| |#1| (-466)) (|has| |#1| (-6 -4496))) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-939))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (QUOTE (-1051))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-871)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-1183))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843))))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-559))) (-12 (|HasAttribute| |#1| (QUOTE -4507)) (|HasAttribute| |#1| (QUOTE -4496)) (|HasCategory| |#1| (QUOTE (-466)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-939))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (QUOTE (-1051))) (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-842))) (|HasCategory| |#1| (QUOTE (-871)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-1183))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843))))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-843)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-559))) (-12 (|HasAttribute| |#1| (QUOTE -4507)) (|HasAttribute| |#1| (QUOTE -4496)) (|HasCategory| |#1| (QUOTE (-466)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) (-422 A B) ((|constructor| (NIL "This package extends a map between integral domains to a map between Fractions over those domains by applying the map to the numerators and denominators.")) (|map| (((|Fraction| |#2|) (|Mapping| |#2| |#1|) (|Fraction| |#1|)) "\\spad{map(func,frac)} applies the function \\spad{func} to the numerator and denominator of the fraction \\spad{frac}."))) NIL @@ -1670,7 +1670,7 @@ NIL ((|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-1080))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-1143))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (-435 R) ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f, k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $)) (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#1|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#1|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#1|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n, x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,f)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,op)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a1,...,am)**n} in \\spad{x} by \\spad{f(a1,...,am)} for any \\spad{a1},{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)**ni} in \\spad{x} by \\spad{fi(a1,...,an)} for any \\spad{a1},{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a)**ni} in \\spad{x} by \\spad{fi(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x, [s1,...,sm], [f1,...,fm], y)} replaces every \\spad{si(a)} in \\spad{x} by \\spad{fi(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x, s, f, y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f, [foo1,...,foon])} unquotes all the \\spad{fooi}'s in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f, foo)} unquotes all the foo's in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo, [x1,...,xn])} returns \\spad{'foo(x1,...,xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo, x, y, z, t)} returns \\spad{'foo(x,y,z,t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo, x, y, z)} returns \\spad{'foo(x,y,z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo, x, y)} returns \\spad{'foo(x,y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo, x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) -((-4506 -2215 (|has| |#1| (-1080)) (|has| |#1| (-487))) (-4504 |has| |#1| (-175)) (-4503 |has| |#1| (-175)) ((-4511 "*") |has| |#1| (-571)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-571)) (-4501 |has| |#1| (-571))) +((-4506 -2217 (|has| |#1| (-1080)) (|has| |#1| (-487))) (-4504 |has| |#1| (-175)) (-4503 |has| |#1| (-175)) ((-4511 "*") |has| |#1| (-571)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-571)) (-4501 |has| |#1| (-571))) NIL (-436 R A S B) ((|constructor| (NIL "This package allows a mapping \\spad{R} -> \\spad{S} to be lifted to a mapping from a function space over \\spad{R} to a function space over \\spad{S}.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, a)} applies \\spad{f} to all the constants in \\spad{R} appearing in \\spad{a}."))) @@ -1803,7 +1803,7 @@ NIL (-468 |vl| R E) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is specified by its third parameter. Suggested types which define term orderings include: \\spadtype{DirectProduct},{} \\spadtype{HomogeneousDirectProduct},{} \\spadtype{SplitHomogeneousDirectProduct} and finally \\spadtype{OrderedDirectProduct} which accepts an arbitrary user function to define a term ordering.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) (((-4511 "*") |has| |#2| (-175)) (-4502 |has| |#2| (-571)) (-4507 |has| |#2| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#2| (QUOTE (-939))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4507)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) +((|HasCategory| |#2| (QUOTE (-939))) (-2217 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2217 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4507)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) (-469 R BP) ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni.} January 1990 The equation \\spad{Af+Bg=h} and its generalization to \\spad{n} polynomials is solved for solutions over the \\spad{R},{} euclidean domain. A table containing the solutions of \\spad{Af+Bg=x**k} is used. The operations are performed modulus a prime which are in principle big enough,{} but the solutions are tested and,{} in case of failure,{} a hensel lifting process is used to get to the right solutions. It will be used in the factorization of multivariate polynomials over finite field,{} with \\spad{R=F[x]}.")) (|testModulus| (((|Boolean|) |#1| (|List| |#2|)) "\\spad{testModulus(p,lp)} returns \\spad{true} if the the prime \\spad{p} is valid for the list of polynomials \\spad{lp},{} \\spadignore{i.e.} preserves the degree and they remain relatively prime.")) (|solveid| (((|Union| (|List| |#2|) "failed") |#2| |#1| (|Vector| (|List| |#2|))) "\\spad{solveid(h,table)} computes the coefficients of the extended euclidean algorithm for a list of polynomials whose tablePow is \\spad{table} and with right side \\spad{h}.")) (|tablePow| (((|Union| (|Vector| (|List| |#2|)) "failed") (|NonNegativeInteger|) |#1| (|List| |#2|)) "\\spad{tablePow(maxdeg,prime,lpol)} constructs the table with the coefficients of the Extended Euclidean Algorithm for \\spad{lpol}. Here the right side is \\spad{x**k},{} for \\spad{k} less or equal to \\spad{maxdeg}. The operation returns \"failed\" when the elements are not coprime modulo \\spad{prime}.")) (|compBound| (((|NonNegativeInteger|) |#2| (|List| |#2|)) "\\spad{compBound(p,lp)} computes a bound for the coefficients of the solution polynomials. Given a polynomial right hand side \\spad{p},{} and a list \\spad{lp} of left hand side polynomials. Exported because it depends on the valuation.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(p,prime)} reduces the polynomial \\spad{p} modulo \\spad{prime} of \\spad{R}. Note: this function is exported only because it's conditional."))) NIL @@ -1883,11 +1883,11 @@ NIL (-488 |Coef| |var| |cen|) ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4503 . T) (-4504 . T) (-4506 . 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The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) ((-4510 . T) (-4509 . T)) @@ -1903,7 +1903,7 @@ NIL (-493 |Key| |Entry| |hashfn|) ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) ((-4509 . T) (-4510 . 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Hall as given in Serre's book Lie Groups -- Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens, maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens, leftCandidate, rightCandidate, left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,wt,rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight <= \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) NIL @@ -1911,11 +1911,11 @@ NIL (-495 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is total degree ordering refined by reverse lexicographic ordering with respect to the position that the variables appear in the list of variables parameter.")) 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(|parameters| (((|List| (|ParameterAst|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header `h'.")) (|name| (((|Identifier|) $) "\\spad{name(h)} returns the name of the operation defined defined.")) (|headAst| (($ (|Identifier|) (|List| (|ParameterAst|))) "\\spad{headAst(f,[x1,..,xn])} constructs a function definition header."))) NIL @@ -1923,7 +1923,7 @@ NIL (-498 S) ((|constructor| (NIL "Heap implemented in a flexible array to allow for insertions")) (|heap| (($ (|List| |#1|)) "\\spad{heap(ls)} creates a heap of elements consisting of the elements of \\spad{ls}."))) ((-4509 . T) (-4510 . 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The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree."))) NIL @@ -1935,7 +1935,7 @@ NIL (-501) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating hexadecimal expansions.")) (|hex| (($ (|Fraction| (|Integer|))) "\\spad{hex(r)} converts a rational number to a hexadecimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(h)} returns the fractional part of a hexadecimal expansion."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2215 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2217 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) (-502 A S) ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#2| $) "\\spad{member?(x,u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#2|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#2|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#2| $) "\\spad{count(x,u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{count(p,u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{every?(f,u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{any?(p,u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#2| |#2|) $) "\\spad{map!(f,u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) NIL @@ -1971,11 +1971,11 @@ NIL (-510 S |mn|) ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan \\spad{Aug/87}} This is the basic one dimensional array data type."))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-511 R |mnRow| |mnCol|) ((|constructor| (NIL "\\indented{1}{An IndexedTwoDimensionalArray is a 2-dimensional array where} the minimal row and column indices are parameters of the type. Rows and columns are returned as IndexedOneDimensionalArray's with minimal indices matching those of the IndexedTwoDimensionalArray. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-512 K R UP) ((|constructor| (NIL "\\indented{1}{Author: Clifton Williamson} Date Created: 9 August 1993 Date Last Updated: 3 December 1993 Basic Operations: chineseRemainder,{} factorList Related Domains: PAdicWildFunctionFieldIntegralBasis(\\spad{K},{}\\spad{R},{}UP,{}\\spad{F}) Also See: WildFunctionFieldIntegralBasis,{} FunctionFieldIntegralBasis AMS Classifications: Keywords: function field,{} finite field,{} integral basis Examples: References: Description:")) (|chineseRemainder| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|List| |#3|) (|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|NonNegativeInteger|)) "\\spad{chineseRemainder(lu,lr,n)} \\undocumented")) (|listConjugateBases| (((|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{listConjugateBases(bas,q,n)} returns the list \\spad{[bas,bas^Frob,bas^(Frob^2),...bas^(Frob^(n-1))]},{} where \\spad{Frob} raises the coefficients of all polynomials appearing in the basis \\spad{bas} to the \\spad{q}th power.")) (|factorList| (((|List| (|SparseUnivariatePolynomial| |#1|)) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorList(k,n,m,j)} \\undocumented"))) NIL @@ -2051,7 +2051,7 @@ NIL (-530 S |mn|) ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan \\spad{July/87},{} modified SMW \\spad{June/91}} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|Integer|)) "\\spad{physicalLength!(x,n)} changes the physical length of \\spad{x} to be \\spad{n} and returns the new array.")) (|physicalLength| (((|NonNegativeInteger|) $) "\\spad{physicalLength(x)} returns the number of elements \\spad{x} can accomodate before growing")) (|flexibleArray| (($ (|List| |#1|)) "\\spad{flexibleArray(l)} creates a flexible array from the list of elements \\spad{l}"))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-531) ((|constructor| (NIL "This domain represents AST for conditional expressions.")) (|elseBranch| (((|SpadAst|) $) "thenBranch(\\spad{e}) returns the `else-branch' of `e'.")) (|thenBranch| (((|SpadAst|) $) "\\spad{thenBranch(e)} returns the `then-branch' of `e'.")) (|condition| (((|SpadAst|) $) "\\spad{condition(e)} returns the condition of the if-expression `e'."))) NIL @@ -2059,15 +2059,15 @@ NIL (-532 |p| |n|) ((|constructor| (NIL "InnerFiniteField(\\spad{p},{}\\spad{n}) implements finite fields with \\spad{p**n} elements where \\spad{p} is assumed prime but does not check. For a version which checks that \\spad{p} is prime,{} see \\spadtype{FiniteField}."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((-2215 (|HasCategory| (-595 |#1|) (QUOTE (-147))) (|HasCategory| (-595 |#1|) (QUOTE (-381)))) (|HasCategory| (-595 |#1|) (QUOTE (-149))) (|HasCategory| (-595 |#1|) (QUOTE (-381))) (|HasCategory| (-595 |#1|) (QUOTE (-147)))) +((-2217 (|HasCategory| (-595 |#1|) (QUOTE (-147))) (|HasCategory| (-595 |#1|) (QUOTE (-381)))) (|HasCategory| (-595 |#1|) (QUOTE (-149))) (|HasCategory| (-595 |#1|) (QUOTE (-381))) (|HasCategory| (-595 |#1|) (QUOTE (-147)))) (-533 R |mnRow| |mnCol| |Row| |Col|) ((|constructor| (NIL "\\indented{1}{This is an internal type which provides an implementation of} 2-dimensional arrays as PrimitiveArray's of PrimitiveArray's."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-534 S |mn|) ((|constructor| (NIL "\\spadtype{IndexedList} is a basic implementation of the functions in \\spadtype{ListAggregate},{} often using functions in the underlying LISP system. The second parameter to the constructor (\\spad{mn}) is the beginning index of the list. That is,{} if \\spad{l} is a list,{} then \\spad{elt(l,mn)} is the first value. This constructor is probably best viewed as the implementation of singly-linked lists that are addressable by index rather than as a mere wrapper for LISP lists."))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-535 R |Row| |Col| M) ((|constructor| (NIL "\\spadtype{InnerMatrixLinearAlgebraFunctions} is an internal package which provides standard linear algebra functions on domains in \\spad{MatrixCategory}")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|generalizedInverse| ((|#4| |#4|) "\\spad{generalizedInverse(m)} returns the generalized (Moore--Penrose) inverse of the matrix \\spad{m},{} \\spadignore{i.e.} the matrix \\spad{h} such that m*h*m=h,{} h*m*h=m,{} m*h and h*m are both symmetric matrices.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}."))) NIL @@ -2079,7 +2079,7 @@ NIL (-537 R |mnRow| |mnCol|) ((|constructor| (NIL "An \\spad{IndexedMatrix} is a matrix where the minimal row and column indices are parameters of the type. The domains Row and Col are both IndexedVectors. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a 'Row' is the same as the index of the first column in a matrix and vice versa."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4511 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4511 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-538) ((|constructor| (NIL "This domain represents an `import' of types.")) (|imports| (((|List| (|TypeAst|)) $) "\\spad{imports(x)} returns the list of imported types.")) (|coerce| (($ (|List| (|TypeAst|))) "ts::ImportAst constructs an ImportAst for the list if types `ts'."))) NIL @@ -2191,7 +2191,7 @@ NIL (-565 |Key| |Entry| |addDom|) ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#2|)))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#2|)))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102)))) (-566 R -1633) ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f, x, y, d)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) NIL @@ -2206,7 +2206,7 @@ NIL NIL (-569 R) ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This category implements of interval arithmetic and transcendental + functions over intervals.")) (|contains?| (((|Boolean|) $ |#1|) "\\spad{contains?(i,f)} returns \\spad{true} if \\axiom{\\spad{f}} is contained within the interval \\axiom{\\spad{i}},{} \\spad{false} otherwise.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is negative,{} \\axiom{\\spad{false}} otherwise.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is positive,{} \\axiom{\\spad{false}} otherwise.")) (|width| ((|#1| $) "\\spad{width(u)} returns \\axiom{sup(\\spad{u}) - inf(\\spad{u})}.")) (|sup| ((|#1| $) "\\spad{sup(u)} returns the supremum of \\axiom{\\spad{u}}.")) (|inf| ((|#1| $) "\\spad{inf(u)} returns the infinum of \\axiom{\\spad{u}}.")) (|qinterval| (($ |#1| |#1|) "\\spad{qinterval(inf,sup)} creates a new interval \\axiom{[\\spad{inf},{}\\spad{sup}]},{} without checking the ordering on the elements.")) (|interval| (($ (|Fraction| (|Integer|))) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1|) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1| |#1|) "\\spad{interval(inf,sup)} creates a new interval,{} either \\axiom{[\\spad{inf},{}\\spad{sup}]} if \\axiom{\\spad{inf} <= \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise."))) -((-2993 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) +((-3000 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-570 S) ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) @@ -2270,7 +2270,7 @@ NIL NIL (-585 R) ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This domain is an implementation of interval arithmetic and transcendental + functions over intervals."))) -((-2993 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) +((-3000 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-586) ((|constructor| (NIL "This package provides the implementation for the \\spadfun{solveLinearPolynomialEquation} operation over the integers. It uses a lifting technique from the package GenExEuclid")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| (|Integer|))) "failed") (|List| (|SparseUnivariatePolynomial| (|Integer|))) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}'s exists."))) @@ -2359,7 +2359,7 @@ NIL (-607 |mn|) ((|constructor| (NIL "This domain implements low-level strings"))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2215 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-146) (QUOTE (-871))) (-2215 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) +((-2217 (-12 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2217 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-146) (QUOTE (-871))) (-2217 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-608 E V R P) ((|constructor| (NIL "tools for the summation packages.")) (|sum| (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2|) "\\spad{sum(p(n), n)} returns \\spad{P(n)},{} the indefinite sum of \\spad{p(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{P(n+1) - P(n) = a(n)}.") (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2| (|Segment| |#4|)) "\\spad{sum(p(n), n = a..b)} returns \\spad{p(a) + p(a+1) + ... + p(b)}."))) NIL @@ -2367,7 +2367,7 @@ NIL (-609 |Coef|) ((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain \\indented{2}{used for creating sparse Taylor and Laurent series.}")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,refer,var,cen,r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,g,taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,f)} returns the series \\spad{sum(fn(n) * an * x^n,n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|)))) (|HasCategory| (-560) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2582) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560)))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|)))) (|HasCategory| (-560) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2584) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560)))))) (-610 |Coef|) ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) (((-4511 "*") |has| |#1| (-571)) (-4502 |has| |#1| (-571)) (-4503 . T) (-4504 . T) (-4506 . T)) @@ -2395,7 +2395,7 @@ NIL (-616 R |mn|) ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (-12 (|HasCategory| |#1| (QUOTE (-1033))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (-12 (|HasCategory| |#1| (QUOTE (-1033))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-617 S |Index| |Entry|) ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#2| |#2|) "\\spad{swap!(u,i,j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#3|) "\\spad{fill!(u,x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#3| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#2| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#2| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#3| $) "\\spad{entry?(x,u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#2|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order.")) (|index?| (((|Boolean|) |#2| $) "\\spad{index?(i,u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#3|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) NIL @@ -2410,8 +2410,8 @@ NIL NIL (-620 R A) ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A}} \\indented{1}{to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2}} \\indented{1}{(anticommutator).} \\indented{1}{The usual notation \\spad{{a,b}_+} cannot be used due to} \\indented{1}{restrictions in the current language.} \\indented{1}{This domain only gives a Jordan algebra if the} \\indented{1}{Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds} \\indented{1}{for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}.} \\indented{1}{This relation can be checked by} \\indented{1}{\\spadfun{jordanAdmissible?()\\$A}.} \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) -((-4506 -2215 (-1384 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4504 . T) (-4503 . T)) -((-2215 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) +((-4506 -2217 (-1384 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4504 . T) (-4503 . T)) +((-2217 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-621) ((|constructor| (NIL "This is the datatype for the JVM bytecodes."))) NIL @@ -2439,7 +2439,7 @@ NIL (-627 |Entry|) ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (QUOTE (-1190))) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| (-1190) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (QUOTE (-1190))) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| (-1190) (QUOTE (-871))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-102)))) (-628 S |Key| |Entry|) ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,t)} tests if \\spad{k} is a key in table \\spad{t}."))) NIL @@ -2535,11 +2535,11 @@ NIL (-651) ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) ((-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (QUOTE (-1190))) (|%list| (QUOTE |:|) (QUOTE -2710) (QUOTE (-51))))))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-1190) (QUOTE (-871))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (QUOTE (-1132)))) +((-12 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (QUOTE (-1190))) (|%list| (QUOTE |:|) (QUOTE -2715) (QUOTE (-51))))))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-1190) (QUOTE (-871))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (QUOTE (-1132)))) (-652 R A) ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) -((-4506 -2215 (-1384 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4504 . T) (-4503 . T)) -((-2215 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) +((-4506 -2217 (-1384 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4504 . T) (-4503 . T)) +((-2217 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-653 S R) ((|constructor| (NIL "\\axiom{JacobiIdentity} means that \\axiom{[\\spad{x},{}[\\spad{y},{}\\spad{z}]]+[\\spad{y},{}[\\spad{z},{}\\spad{x}]]+[\\spad{z},{}[\\spad{x},{}\\spad{y}]] = 0} holds.")) (/ (($ $ |#2|) "\\axiom{x/r} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) NIL @@ -2563,7 +2563,7 @@ NIL (-658 S R) ((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}'s exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}'s exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,...,vn])} returns \\spad{[c1,...,cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}'s are 0,{} \"failed\" if the \\spad{vi}'s are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,...,vn])} returns \\spad{true} if the \\spad{vi}'s are linearly dependent over \\spad{S},{} \\spad{false} otherwise."))) NIL -((-1372 (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-376)))) +((-1373 (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-376)))) (-659 K B) ((|constructor| (NIL "A simple data structure for elements that form a vector space of finite dimension over a given field,{} with a given symbolic basis.")) (|coordinates| (((|Vector| |#1|) $) "\\spad{coordinates x} returns the coordinates of the linear element with respect to the basis \\spad{B}.")) (|linearElement| (($ (|List| |#1|)) "\\spad{linearElement [x1,..,xn]} returns a linear element \\indented{1}{with coordinates \\spad{[x1,..,xn]} with respect to} the basis elements \\spad{B}."))) ((-4504 . T) (-4503 . T)) @@ -2583,7 +2583,7 @@ NIL (-663 S) ((|constructor| (NIL "\\spadtype{List} implements singly-linked lists that are addressable by indices; the index of the first element is 1. In addition to the operations provided by \\spadtype{IndexedList},{} this constructor provides some LISP-like functions such as \\spadfun{null} and \\spadfun{cons}.")) (|setDifference| (($ $ $) "\\spad{setDifference(u1,u2)} returns a list of the elements of \\spad{u1} that are not also in \\spad{u2}. The order of elements in the resulting list is unspecified.")) (|setIntersection| (($ $ $) "\\spad{setIntersection(u1,u2)} returns a list of the elements that lists \\spad{u1} and \\spad{u2} have in common. The order of elements in the resulting list is unspecified.")) (|setUnion| (($ $ $) "\\spad{setUnion(u1,u2)} appends the two lists \\spad{u1} and \\spad{u2},{} then removes all duplicates. The order of elements in the resulting list is unspecified.")) (|append| (($ $ $) "\\spad{append(u1,u2)} appends the elements of list \\spad{u1} onto the front of list \\spad{u2}. This new list and \\spad{u2} will share some structure.")) (|cons| (($ |#1| $) "\\spad{cons(element,u)} appends \\spad{element} onto the front of list \\spad{u} and returns the new list. This new list and the old one will share some structure.")) (|null| (((|Boolean|) $) "\\spad{null(u)} tests if list \\spad{u} is the empty list.")) (|nil| (($) "\\spad{nil} is the empty list."))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-843))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-664 A B) ((|constructor| (NIL "\\spadtype{ListFunctions2} implements utility functions that operate on two kinds of lists,{} each with a possibly different type of element.")) (|map| (((|List| |#2|) (|Mapping| |#2| |#1|) (|List| |#1|)) "\\spad{map(fn,u)} applies \\spad{fn} to each element of list \\spad{u} and returns a new list with the results. For example \\spad{map(square,[1,2,3]) = [1,4,9]}.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|List| |#1|) |#2|) "\\spad{reduce(fn,u,ident)} successively uses the binary function \\spad{fn} on the elements of list \\spad{u} and the result of previous applications. \\spad{ident} is returned if the \\spad{u} is empty. Note the order of application in the following examples: \\spad{reduce(fn,[1,2,3],0) = fn(3,fn(2,fn(1,0)))} and \\spad{reduce(*,[2,3],1) = 3 * (2 * 1)}.")) (|scan| (((|List| |#2|) (|Mapping| |#2| |#1| |#2|) (|List| |#1|) |#2|) "\\spad{scan(fn,u,ident)} successively uses the binary function \\spad{fn} to reduce more and more of list \\spad{u}. \\spad{ident} is returned if the \\spad{u} is empty. The result is a list of the reductions at each step. See \\spadfun{reduce} for more information. Examples: \\spad{scan(fn,[1,2],0) = [fn(2,fn(1,0)),fn(1,0)]} and \\spad{scan(*,[2,3],1) = [2 * 1, 3 * (2 * 1)]}."))) NIL @@ -2607,7 +2607,7 @@ NIL (-669 S) ((|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,y,d)} replace \\spad{x}'s with \\spad{y}'s in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-670 R) ((|constructor| (NIL "The category of left modules over an rng (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the rng. \\blankline"))) NIL @@ -2632,7 +2632,7 @@ NIL ((|constructor| (NIL "\\spad{ElementaryFunctionLODESolver} provides the top-level functions for finding closed form solutions of linear ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#3| |#2| (|Symbol|) |#2| (|List| |#2|)) "\\spad{solve(op, g, x, a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{op y = g, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) "failed") |#3| |#2| (|Symbol|)) "\\spad{solve(op, g, x)} returns either a solution of the ordinary differential equation \\spad{op y = g} or \"failed\" if no non-trivial solution can be found; When found,{} the solution is returned in the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{op y = 0}. A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; \\spad{x} is the dependent variable."))) NIL NIL -(-676 A -3919) +(-676 A -3375) ((|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}}"))) ((-4503 . T) (-4504 . T) (-4506 . T)) ((|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-376)))) @@ -2699,7 +2699,7 @@ NIL (-692 |n| R) ((|constructor| (NIL "LieSquareMatrix(\\spad{n},{}\\spad{R}) implements the Lie algebra of the \\spad{n} by \\spad{n} matrices over the commutative ring \\spad{R}. The Lie bracket (commutator) of the algebra is given by \\spad{a*b := (a *\\$SQMATRIX(n,R) b - b *\\$SQMATRIX(n,R) a)},{} where \\spadfun{*\\$SQMATRIX(\\spad{n},{}\\spad{R})} is the usual matrix multiplication."))) ((-4506 . T) (-4509 . T) (-4503 . T) (-4504 . T)) -((|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-571))) (-2215 (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) +((|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-571))) (-2217 (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) (-693) ((|constructor| (NIL "This domain represents `literal sequence' syntax.")) (|elements| (((|List| (|SpadAst|)) $) "\\spad{elements(e)} returns the list of expressions in the `literal' list `e'."))) NIL @@ -2719,7 +2719,7 @@ NIL (-697 R) ((|constructor| (NIL "This domain represents three dimensional matrices over a general object type")) (|matrixDimensions| (((|Vector| (|NonNegativeInteger|)) $) "\\spad{matrixDimensions(x)} returns the dimensions of a matrix")) (|matrixConcat3D| (($ (|Symbol|) $ $) "\\spad{matrixConcat3D(s,x,y)} concatenates two 3-\\spad{D} matrices along a specified axis")) (|coerce| (((|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|))) $) "\\spad{coerce(x)} moves from the domain to the representation type") (($ (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|)))) "\\spad{coerce(p)} moves from the representation type (PrimitiveArray PrimitiveArray PrimitiveArray \\spad{R}) to the domain")) (|setelt!| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{setelt!(x,i,j,k,s)} (or \\spad{x}.\\spad{i}.\\spad{j}.k:=s) sets a specific element of the array to some value of type \\spad{R}")) (|elt| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{elt(x,i,j,k)} extract an element from the matrix \\spad{x}")) (|construct| (($ (|List| (|List| (|List| |#1|)))) "\\spad{construct(lll)} creates a 3-\\spad{D} matrix from a List List List \\spad{R} \\spad{lll}")) (|plus| (($ $ $) "\\spad{plus(x,y)} adds two matrices,{} term by term we note that they must be the same size")) (|identityMatrix| (($ (|NonNegativeInteger|)) "\\spad{identityMatrix(n)} create an identity matrix we note that this must be square")) (|zeroMatrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zeroMatrix(i,j,k)} create a matrix with all zero terms"))) NIL -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (QUOTE (-1080))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-698) ((|constructor| (NIL "This domain represents the syntax of a macro definition.")) (|body| (((|SpadAst|) $) "\\spad{body(m)} returns the right hand side of the definition `m'.")) (|head| (((|HeadAst|) $) "\\spad{head(m)} returns the head of the macro definition `m'. This is a list of identifiers starting with the name of the macro followed by the name of the parameters,{} if any."))) NIL @@ -2775,7 +2775,7 @@ NIL (-711 R) ((|constructor| (NIL "\\spadtype{Matrix} is a matrix domain where 1-based indexing is used for both rows and columns.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|diagonalMatrix| (($ (|Vector| |#1|)) "\\spad{diagonalMatrix(v)} returns a diagonal matrix where the elements of \\spad{v} appear on the diagonal."))) ((-4509 . T) (-4510 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4511 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4511 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-712 R) ((|constructor| (NIL "This package provides standard arithmetic operations on matrices. The functions in this package store the results of computations in existing matrices,{} rather than creating new matrices. This package works only for matrices of type Matrix and uses the internal representation of this type.")) (** (((|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{x ** n} computes the \\spad{n}-th power of a square matrix. The power \\spad{n} is assumed greater than 1.")) (|power!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{power!(a,b,c,m,n)} computes \\spad{m} ** \\spad{n} and stores the result in \\spad{a}. The matrices \\spad{b} and \\spad{c} are used to store intermediate results. Error: if \\spad{a},{} \\spad{b},{} \\spad{c},{} and \\spad{m} are not square and of the same dimensions.")) (|times!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{times!(c,a,b)} computes the matrix product \\spad{a * b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have compatible dimensions.")) (|rightScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rightScalarTimes!(c,a,r)} computes the scalar product \\spad{a * r} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|leftScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Matrix| |#1|)) "\\spad{leftScalarTimes!(c,r,a)} computes the scalar product \\spad{r * a} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|minus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{!minus!(c,a,b)} computes the matrix difference \\spad{a - b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{minus!(c,a)} computes \\spad{-a} and stores the result in the matrix \\spad{c}. Error: if a and \\spad{c} do not have the same dimensions.")) (|plus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{plus!(c,a,b)} computes the matrix sum \\spad{a + b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.")) (|copy!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{copy!(c,a)} copies the matrix \\spad{a} into the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions."))) NIL @@ -2794,8 +2794,8 @@ NIL NIL (-716) ((|constructor| (NIL "A domain which models the complex number representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Complex| (|Float|)) $) "\\spad{coerce(u)} transforms \\spad{u} into a COmplex Float") (($ (|Complex| (|MachineInteger|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|MachineFloat|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Integer|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Float|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex"))) -((-4502 . T) (-4507 |has| (-721) (-376)) (-4501 |has| (-721) (-376)) (-3005 . T) (-4508 |has| (-721) (-6 -4508)) (-4505 |has| (-721) (-6 -4505)) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . 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As for any dictionary,{} its size is assumed large so that copying (non-destructive) operations are generally to be avoided.")) (|duplicates| (((|List| (|Record| (|:| |entry| |#1|) (|:| |count| (|NonNegativeInteger|)))) $) "\\spad{duplicates(d)} returns a list of values which have duplicates in \\spad{d}")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(d)} destructively removes any duplicate values in dictionary \\spad{d}.")) (|insert!| (($ |#1| $ (|NonNegativeInteger|)) "\\spad{insert!(x,d,n)} destructively inserts \\spad{n} copies of \\spad{x} into dictionary \\spad{d}."))) ((-4510 . T)) @@ -2814,7 +2814,7 @@ NIL NIL (-721) ((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) 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T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) +((-3000 . T) (-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-722 R) ((|constructor| (NIL "\\indented{1}{Modular hermitian row reduction.} Author: Manuel Bronstein Date Created: 22 February 1989 Date Last Updated: 24 November 1993 Keywords: matrix,{} reduction.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelonLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| |#1|) "\\spad{rowEchelonLocal(m, d, p)} computes the row-echelon form of \\spad{m} concatenated with \\spad{d} times the identity matrix over a local ring where \\spad{p} is the only prime.")) (|rowEchLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchLocal(m,p)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus over a local ring where \\spad{p} is the only prime.")) (|rowEchelon| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchelon(m, d)} computes a modular row-echelon form mod \\spad{d} of \\indented{3}{[\\spad{d}\\space{5}]} \\indented{3}{[\\space{2}\\spad{d}\\space{3}]} \\indented{3}{[\\space{4}. ]} \\indented{3}{[\\space{5}\\spad{d}]} \\indented{3}{[\\space{3}\\spad{M}\\space{2}]} where \\spad{M = m mod d}.")) (|rowEch| (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{rowEch(m)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus."))) @@ -2860,14 +2860,14 @@ 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.")) 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(|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1183))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-240))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) (-735 IS E |ff|) ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) NIL @@ -2876,7 +2876,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be \\spad{op2}. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4504 |has| |#1| (-175)) (-4503 |has| |#1| (-175)) (-4506 . T)) ((|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149)))) -(-737 R |Mod| -1744 -3549 |exactQuo|) +(-737 R |Mod| -1354 -4237 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4506 . T)) NIL @@ -2943,7 +2943,7 @@ NIL (-753 |vl| R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are from a user specified list of symbols. The ordering is specified by the position of the variable in the list. The coefficient ring may be non commutative,{} but the variables are assumed to commute."))) (((-4511 "*") |has| |#2| (-175)) (-4502 |has| |#2| (-571)) (-4507 |has| |#2| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#2| (QUOTE (-939))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2215 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4507)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) +((|HasCategory| |#2| (QUOTE (-939))) (-2217 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2217 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-888 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4507)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) (-754 E OV R PRF) ((|constructor| (NIL "\\indented{3}{This package exports a factor operation for multivariate polynomials} with coefficients which are rational functions over some ring \\spad{R} over which we can factor. It is used internally by packages such as primary decomposition which need to work with polynomials with rational function coefficients,{} \\spadignore{i.e.} themselves fractions of polynomials.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(prf)} factors a polynomial with rational function coefficients.")) (|pushuconst| ((|#4| (|Fraction| (|Polynomial| |#3|)) |#2|) "\\spad{pushuconst(r,var)} takes a rational function and raises all occurances of the variable \\spad{var} to the polynomial level.")) (|pushucoef| ((|#4| (|SparseUnivariatePolynomial| (|Polynomial| |#3|)) |#2|) "\\spad{pushucoef(upoly,var)} converts the anonymous univariate polynomial \\spad{upoly} to a polynomial in \\spad{var} over rational functions.")) (|pushup| ((|#4| |#4| |#2|) "\\spad{pushup(prf,var)} raises all occurences of the variable \\spad{var} in the coefficients of the polynomial \\spad{prf} back to the polynomial level.")) (|pushdterm| ((|#4| (|SparseUnivariatePolynomial| |#4|) |#2|) "\\spad{pushdterm(monom,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the monomial \\spad{monom}.")) (|pushdown| ((|#4| |#4| |#2|) "\\spad{pushdown(prf,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the polynomial \\spad{prf}.")) (|totalfract| (((|Record| (|:| |sup| (|Polynomial| |#3|)) (|:| |inf| (|Polynomial| |#3|))) |#4|) "\\spad{totalfract(prf)} takes a polynomial whose coefficients are themselves fractions of polynomials and returns a record containing the numerator and denominator resulting from putting \\spad{prf} over a common denominator.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) NIL @@ -3139,11 +3139,11 @@ NIL (-802 R |VarSet|) ((|constructor| (NIL "A post-facto extension for \\axiomType{SMP} in order to speed up operations related to pseudo-division and gcd. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-939))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE 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(|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-376))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208))))) (-2217 (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208)))) (-1373 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208)))))) (-2217 (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208)))) (-1373 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-1373 (|HasCategory| |#1| (QUOTE (-559))))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208)))) (-1373 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-1373 (|HasCategory| |#1| (|%list| (QUOTE -38) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-1208)))) (-1373 (|HasCategory| |#1| (|%list| (QUOTE -1022) (QUOTE (-560))))))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) (-803 R) ((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and gcd for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedResultant2}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} cb]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedResultant1}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} cb]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}cb]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + cb * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}cb]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} cb]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} cb]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} cb]} such that \\axiom{\\spad{g}} is a gcd of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{R^(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + cb * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial gcd in \\axiom{R^(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{c^n * a = q*b +r} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the \\axiomOpFrom{fmecg}{NewSparseUnivariatePolynomial} operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{c^n * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) 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mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) NIL @@ -3211,8 +3211,8 @@ NIL (-820 R) ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) 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The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) NIL NIL @@ -3276,14 +3276,14 @@ NIL ((|constructor| (NIL "\\spad{ODETools} provides tools for the linear ODE solver.")) (|particularSolution| (((|Union| |#1| "failed") |#2| |#1| (|List| |#1|) (|Mapping| |#1| |#1|)) "\\spad{particularSolution(op, g, [f1,...,fm], I)} returns a particular solution \\spad{h} of the equation \\spad{op y = g} where \\spad{[f1,...,fm]} are linearly independent and \\spad{op(fi)=0}. The value \"failed\" is returned if no particular solution is found. Note: the method of variations of parameters is used.")) 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(|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))))) (-838 R) ((|constructor| (NIL "\\spadtype{OrderlyDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-939))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-939))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-840 (-1208)) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) (-839 |Kernels| R |var|) ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable."))) (((-4511 "*") |has| |#2| (-376)) (-4502 |has| |#2| (-376)) (-4507 |has| |#2| (-376)) (-4501 |has| |#2| (-376)) (-4506 . T) (-4504 . T) (-4503 . T)) @@ -3347,7 +3347,7 @@ NIL (-854 R) ((|constructor| (NIL "Adjunction of a complex infinity to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one,{} \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is infinite.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|infinity| (($) "\\spad{infinity()} returns infinity."))) ((-4506 |has| |#1| (-870))) -((|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-21))) (-2215 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-870)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2215 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) +((|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-21))) (-2217 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-870)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2217 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) (-855 R S) ((|constructor| (NIL "Lifting of maps to one-point completions. Date Created: 4 Oct 1989 Date Last Updated: 4 Oct 1989")) (|map| (((|OnePointCompletion| |#2|) (|Mapping| |#2| |#1|) (|OnePointCompletion| |#1|) (|OnePointCompletion| |#2|)) "\\spad{map(f, r, i)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(infinity) = \\spad{i}.") (((|OnePointCompletion| |#2|) (|Mapping| |#2| |#1|) (|OnePointCompletion| |#1|)) "\\spad{map(f, r)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(infinity) = infinity."))) NIL @@ -3387,7 +3387,7 @@ NIL (-864 R) ((|constructor| (NIL "Adjunction of two real infinites quantities to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} cannot be so converted.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|whatInfinity| (((|SingleInteger|) $) "\\spad{whatInfinity(x)} returns 0 if \\spad{x} is finite,{} 1 if \\spad{x} is +infinity,{} and \\spad{-1} if \\spad{x} is -infinity.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is +infinity or -infinity,{}")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|minusInfinity| (($) "\\spad{minusInfinity()} returns -infinity.")) (|plusInfinity| (($) "\\spad{plusInfinity()} returns +infinity."))) ((-4506 |has| |#1| (-870))) -((|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-21))) (-2215 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-870)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2215 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) +((|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-21))) (-2217 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-870)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2217 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) (-865 R S) ((|constructor| (NIL "Lifting of maps to ordered completions. Date Created: 4 Oct 1989 Date Last Updated: 4 Oct 1989")) (|map| (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{map(f, r, p, m)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = \\spad{p} and that \\spad{f}(minusInfinity) = \\spad{m}.") (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|)) "\\spad{map(f, r)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = plusInfinity and that \\spad{f}(minusInfinity) = minusInfinity."))) NIL @@ -3396,7 +3396,7 @@ NIL ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) NIL NIL -(-867 -4332 S) +(-867 -4330 S) ((|constructor| (NIL "\\indented{3}{This package provides ordering functions on vectors which} are suitable parameters for OrderedDirectProduct.")) (|reverseLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{reverseLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by the reverse lexicographic ordering.")) (|totalLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{totalLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by lexicographic ordering.")) (|pureLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{pureLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the lexicographic ordering."))) NIL NIL @@ -3440,11 +3440,11 @@ NIL ((|constructor| (NIL "\\spad{UnivariateSkewPolynomialCategoryOps} provides products and \\indented{1}{divisions of univariate skew polynomials.}")) (|rightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{rightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division''. \\spad{\\sigma} is the morphism to use.")) (|leftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{leftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division''. \\spad{\\sigma} is the morphism to use.")) (|monicRightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicRightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division''. \\spad{\\sigma} is the morphism to use.")) (|monicLeftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicLeftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division''. \\spad{\\sigma} is the morphism to use.")) (|apply| ((|#1| |#2| |#1| |#1| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{apply(p, c, m, sigma, delta)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|times| ((|#2| |#2| |#2| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{times(p, q, sigma, delta)} returns \\spad{p * q}. \\spad{\\sigma} and \\spad{\\delta} are the maps to use."))) NIL ((|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) -(-878 R |sigma| -3700) +(-878 R |sigma| -3057) ((|constructor| (NIL "This is the domain of sparse univariate skew polynomials over an Ore coefficient field. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}.")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p, x)} returns the output form of \\spad{p} using \\spad{x} for the otherwise anonymous variable."))) ((-4503 . T) (-4504 . T) (-4506 . T)) ((|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-376)))) -(-879 |x| R |sigma| -3700) +(-879 |x| R |sigma| -3057) ((|constructor| (NIL "This is the domain of univariate skew polynomials over an Ore coefficient field in a named variable. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}."))) ((-4503 . T) (-4504 . T) (-4506 . T)) ((|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-376)))) @@ -3511,15 +3511,15 @@ NIL (-895 |p|) ((|constructor| (NIL "Stream-based implementation of Qp: numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i) where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-893 |#1|) (QUOTE (-939))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-893 |#1|) (QUOTE (-147))) (|HasCategory| (-893 |#1|) (QUOTE (-149))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-893 |#1|) (QUOTE (-1051))) (|HasCategory| (-893 |#1|) (QUOTE (-842))) (|HasCategory| (-893 |#1|) (QUOTE (-871))) (-2215 (|HasCategory| (-893 |#1|) (QUOTE (-842))) (|HasCategory| (-893 |#1|) (QUOTE (-871)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-893 |#1|) (QUOTE (-1183))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-893 |#1|) (QUOTE (-239))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-893 |#1|) (QUOTE (-240))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -528) (QUOTE (-1208)) (|%list| (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -893) (|devaluate| |#1|)) (|%list| (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (QUOTE (-319))) (|HasCategory| (-893 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-893 |#1|) (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-893 |#1|) (QUOTE (-939)))) (|HasCategory| (-893 |#1|) (QUOTE (-147))))) +((|HasCategory| (-893 |#1|) (QUOTE (-939))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-893 |#1|) (QUOTE (-147))) (|HasCategory| (-893 |#1|) (QUOTE (-149))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-893 |#1|) (QUOTE (-1051))) (|HasCategory| (-893 |#1|) (QUOTE (-842))) (|HasCategory| (-893 |#1|) (QUOTE (-871))) (-2217 (|HasCategory| (-893 |#1|) (QUOTE (-842))) (|HasCategory| (-893 |#1|) (QUOTE (-871)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-893 |#1|) (QUOTE (-1183))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-893 |#1|) (QUOTE (-239))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-893 |#1|) (QUOTE (-240))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -528) (QUOTE (-1208)) (|%list| (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -893) (|devaluate| |#1|)) (|%list| (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (QUOTE (-319))) (|HasCategory| (-893 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-893 |#1|) (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-893 |#1|) (QUOTE (-939)))) (|HasCategory| (-893 |#1|) (QUOTE (-147))))) (-896 |p| PADIC) ((|constructor| (NIL "This is the category of stream-based representations of Qp.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,x)} removes up to \\spad{n} leading zeroes from the \\spad{p}-adic rational \\spad{x}.") (($ $) "\\spad{removeZeroes(x)} removes leading zeroes from the representation of the \\spad{p}-adic rational \\spad{x}. A \\spad{p}-adic rational is represented by (1) an exponent and (2) a \\spad{p}-adic integer which may have leading zero digits. When the \\spad{p}-adic integer has a leading zero digit,{} a 'leading zero' is removed from the \\spad{p}-adic rational as follows: the number is rewritten by increasing the exponent by 1 and dividing the \\spad{p}-adic integer by \\spad{p}. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}.")) (|continuedFraction| (((|ContinuedFraction| (|Fraction| (|Integer|))) $) "\\spad{continuedFraction(x)} converts the \\spad{p}-adic rational number \\spad{x} to a continued fraction.")) (|approximate| (((|Fraction| (|Integer|)) $ (|Integer|)) "\\spad{approximate(x,n)} returns a rational number \\spad{y} such that \\spad{y = x (mod p^n)}."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#2| (QUOTE (-939))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1051))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-871))) (-2215 (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-871)))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-1183))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -298) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) +((|HasCategory| |#2| (QUOTE (-939))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1051))) (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-871))) (-2217 (|HasCategory| |#2| (QUOTE (-842))) (|HasCategory| |#2| (QUOTE (-871)))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-1183))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -298) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) (-897 S T$) ((|constructor| (NIL "\\indented{1}{This domain provides a very simple representation} of the notion of `pair of objects'. It does not try to achieve all possible imaginable things.")) (|second| ((|#2| $) "\\spad{second(p)} extracts the second components of `p'.")) (|first| ((|#1| $) "\\spad{first(p)} extracts the first component of `p'.")) (|construct| (($ |#1| |#2|) "\\spad{construct(s,t)} is same as pair(\\spad{s},{}\\spad{t}),{} with syntactic sugar.")) (|pair| (($ |#1| |#2|) "\\spad{pair(s,t)} returns a pair object composed of `s' and `t'."))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))))) (-898) ((|constructor| (NIL "This domain describes four groups of color shades (palettes).")) (|coerce| (($ (|Color|)) "\\spad{coerce(c)} sets the average shade for the palette to that of the indicated color \\spad{c}.")) (|shade| (((|Integer|) $) "\\spad{shade(p)} returns the shade index of the indicated palette \\spad{p}.")) (|hue| (((|Color|) $) "\\spad{hue(p)} returns the hue field of the indicated palette \\spad{p}.")) (|light| (($ (|Color|)) "\\spad{light(c)} sets the shade of a hue,{} \\spad{c},{} to it's highest value.")) (|pastel| (($ (|Color|)) "\\spad{pastel(c)} sets the shade of a hue,{} \\spad{c},{} above bright,{} but below light.")) (|bright| (($ (|Color|)) "\\spad{bright(c)} sets the shade of a hue,{} \\spad{c},{} above dim,{} but below pastel.")) (|dim| (($ (|Color|)) "\\spad{dim(c)} sets the shade of a hue,{} \\spad{c},{} above dark,{} but below bright.")) (|dark| (($ (|Color|)) "\\spad{dark(c)} sets the shade of the indicated hue of \\spad{c} to it's lowest value."))) NIL @@ -3579,7 +3579,7 @@ NIL (-912 |Base| |Subject| |Pat|) ((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,...,vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,...,en], pat)} matches the pattern pat on the list of expressions \\spad{[e1,...,en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,...,en], pat)} tests if the list of expressions \\spad{[e1,...,en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr, pat)} tests if the expression \\spad{expr} matches the pattern pat."))) NIL -((-12 (-1372 (|HasCategory| |#2| (QUOTE (-1080)))) (-1372 (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208)))))) (-12 (|HasCategory| |#2| (QUOTE (-1080))) (-1372 (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208))))) +((-12 (-1373 (|HasCategory| |#2| (QUOTE (-1080)))) (-1373 (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208)))))) (-12 (|HasCategory| |#2| (QUOTE (-1080))) (-1373 (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208)))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-1208))))) (-913 R S) ((|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'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},{}\\spad{e1}),{}...,{}(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|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) NIL @@ -3651,11 +3651,11 @@ NIL (-930 S) ((|constructor| (NIL "\\indented{1}{A PendantTree(\\spad{S})is either a leaf? and is an \\spad{S} or has} a left and a right both PendantTree(\\spad{S})'s")) (|ptree| (($ $ $) "\\spad{ptree(x,y)} \\undocumented") (($ |#1|) "\\spad{ptree(s)} is a leaf? pendant tree"))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-931 S) ((|constructor| (NIL "Permutation(\\spad{S}) implements the group of all bijections \\indented{2}{on a set \\spad{S},{} which move only a finite number of points.} \\indented{2}{A permutation is considered as a map from \\spad{S} into \\spad{S}. In particular} \\indented{2}{multiplication is defined as composition of maps:} \\indented{2}{{\\em pi1 * pi2 = pi1 o pi2}.} \\indented{2}{The internal representation of permuatations are two lists} \\indented{2}{of equal length representing preimages and images.}")) (|coerceImages| (($ (|List| |#1|)) "\\spad{coerceImages(ls)} coerces the list {\\em ls} to a permutation whose image is given by {\\em ls} and the preimage is fixed to be {\\em [1,...,n]}. Note: {coerceImages(\\spad{ls})=coercePreimagesImages([1,{}...,{}\\spad{n}],{}\\spad{ls})}. We assume that both preimage and image do not contain repetitions.")) (|fixedPoints| (((|Set| |#1|) $) "\\spad{fixedPoints(p)} returns the points fixed by the permutation \\spad{p}.")) (|sort| (((|List| $) (|List| $)) "\\spad{sort(lp)} sorts a list of permutations {\\em lp} according to cycle structure first according to length of cycles,{} second,{} if \\spad{S} has \\spadtype{Finite} or \\spad{S} has \\spadtype{OrderedSet} according to lexicographical order of entries in cycles of equal length.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(p)} returns \\spad{true} if and only if \\spad{p} is an odd permutation \\spadignore{i.e.} {\\em sign(p)} is {\\em -1}.")) (|even?| (((|Boolean|) $) "\\spad{even?(p)} returns \\spad{true} if and only if \\spad{p} is an even permutation,{} \\spadignore{i.e.} {\\em sign(p)} is 1.")) (|sign| (((|Integer|) $) "\\spad{sign(p)} returns the signum of the permutation \\spad{p},{} \\spad{+1} or \\spad{-1}.")) (|numberOfCycles| (((|NonNegativeInteger|) $) "\\spad{numberOfCycles(p)} returns the number of non-trivial cycles of the permutation \\spad{p}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of a permutation \\spad{p} as a group element.")) (|cyclePartition| (((|Partition|) $) "\\spad{cyclePartition(p)} returns the cycle structure of a permutation \\spad{p} including cycles of length 1 only if \\spad{S} is finite.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} retuns the number of points moved by the permutation \\spad{p}.")) (|coerceListOfPairs| (($ (|List| (|List| |#1|))) "\\spad{coerceListOfPairs(lls)} coerces a list of pairs {\\em lls} to a permutation. Error: if not consistent,{} \\spadignore{i.e.} the set of the first elements coincides with the set of second elements. coerce(\\spad{p}) generates output of the permutation \\spad{p} with domain OutputForm.")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(ls)} coerces a cycle {\\em ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list. Error: if repetitions occur.") (($ (|List| (|List| |#1|))) "\\spad{coerce(lls)} coerces a list of cycles {\\em lls} to a permutation,{} each cycle being a list with no repetitions,{} is coerced to the permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|coercePreimagesImages| (($ (|List| (|List| |#1|))) "\\spad{coercePreimagesImages(lls)} coerces the representation {\\em lls} of a permutation as a list of preimages and images to a permutation. We assume that both preimage and image do not contain repetitions.")) (|listRepresentation| (((|Record| (|:| |preimage| (|List| |#1|)) (|:| |image| (|List| |#1|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation."))) ((-4506 . T)) -((-2215 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-871)))) +((-2217 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-871)))) (-932 |n| R) ((|constructor| (NIL "Permanent implements the functions {\\em permanent},{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The {\\em permanent} is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the {\\em determinant}. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} Ch. 19]. Note: permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of x:\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} ch.19,{}\\spad{p}.158]; if 2 has no inverse,{}} \\indented{3}{some modifications are necessary:} \\item 2. if {\\em n > 6} and \\spad{R} is an integral domain with characteristic \\indented{3}{different from 2 (the algorithm works if and only 2 is not a} \\indented{3}{zero-divisor of \\spad{R} and {\\em characteristic()\\$R ~= 2},{}} \\indented{3}{but how to check that for any given \\spad{R} ?),{}} \\indented{3}{the local function {\\em permanent2} is called;} \\item 3. else,{} the local function {\\em permanent3} is called \\indented{3}{(works for all commutative rings \\spad{R}).} \\end{items}"))) NIL @@ -3729,7 +3729,7 @@ NIL NIL NIL (-950) -((|constructor| (NIL "The category of constructive principal ideal domains,{} \\spadignore{i.e.} where a single generator can be constructively found for any ideal given by a finite set of generators. Note that this constructive definition only implies that finitely generated ideals are principal. It is not clear what we would mean by an infinitely generated ideal.")) (|expressIdealMember| (((|Union| (|List| $) "failed") (|List| $) $) "\\spad{expressIdealMember([f1,...,fn],h)} returns a representation of \\spad{h} as a linear combination of the \\spad{fi} or \"failed\" if \\spad{h} is not in the ideal generated by the \\spad{fi}.")) (|principalIdeal| (((|Record| (|:| |coef| (|List| $)) (|:| |generator| $)) (|List| $)) "\\spad{principalIdeal([f1,...,fn])} returns a record whose generator component is a generator of the ideal generated by \\spad{[f1,...,fn]} whose coef component satisfies \\spad{generator = sum (input.i * coef.i)}"))) +((|constructor| (NIL "The category of constructive principal ideal domains,{} \\spadignore{i.e.} where a single generator can be constructively found for any ideal given by a finite set of generators. Note that this constructive definition only implies that finitely generated ideals are principal. It is not clear what we would mean by an infinitely generated ideal.")) (|expressIdealMember| (((|Maybe| (|List| $)) (|List| $) $) "\\spad{expressIdealMember([f1,...,fn],h)} returns a representation of \\spad{h} as a linear combination of the \\spad{fi} or \\spad{nothing} if \\spad{h} is not in the ideal generated by the \\spad{fi}.")) (|principalIdeal| (((|Record| (|:| |coef| (|List| $)) (|:| |generator| $)) (|List| $)) "\\spad{principalIdeal([f1,...,fn])} returns a record whose generator component is a generator of the ideal generated by \\spad{[f1,...,fn]} whose coef component satisfies \\spad{generator = sum (input.i * coef.i)}"))) ((-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) NIL (-951 |xx| -1633) @@ -3819,7 +3819,7 @@ NIL (-972 R) ((|constructor| (NIL "This domain implements points in coordinate space"))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (-12 (|HasCategory| |#1| (QUOTE (-1033))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (-12 (|HasCategory| |#1| (QUOTE (-1033))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-973 |lv| R) ((|constructor| (NIL "Package with the conversion functions among different kind of polynomials")) (|pToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToDmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{DMP}.")) (|dmpToP| (((|Polynomial| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToP(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{POLY}.")) (|hdmpToP| (((|Polynomial| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToP(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{POLY}.")) (|pToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToHdmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{HDMP}.")) (|hdmpToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToDmp(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{DMP}.")) (|dmpToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToHdmp(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{HDMP}."))) NIL @@ -3831,7 +3831,7 @@ NIL (-975 R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-939))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-939))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| (-1208) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) (-976 R S) ((|constructor| (NIL "\\indented{2}{This package takes a mapping between coefficient rings,{} and lifts} it to a mapping between polynomials over those rings.")) (|map| (((|Polynomial| |#2|) (|Mapping| |#2| |#1|) (|Polynomial| |#1|)) "\\spad{map(f, p)} produces a new polynomial as a result of applying the function \\spad{f} to every coefficient of the polynomial \\spad{p}."))) NIL @@ -3871,7 +3871,7 @@ NIL (-985 R E) ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and terms indexed by their exponents (from an arbitrary ordered abelian monoid). This type is used,{} for example,{} by the \\spadtype{DistributedMultivariatePolynomial} domain where the exponent domain is a direct product of non negative integers.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (|fmecg| (($ $ |#2| |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-133)))) (|HasAttribute| |#1| (QUOTE -4507))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-133)))) (|HasAttribute| |#1| (QUOTE -4507))) (-986 R L) ((|constructor| (NIL "\\spadtype{PrecomputedAssociatedEquations} stores some generic precomputations which speed up the computations of the associated equations needed for factoring operators.")) (|firstUncouplingMatrix| (((|Union| (|Matrix| |#1|) "failed") |#2| (|PositiveInteger|)) "\\spad{firstUncouplingMatrix(op, m)} returns the matrix A such that \\spad{A w = (W',W'',...,W^N)} in the corresponding associated equations for right-factors of order \\spad{m} of \\spad{op}. Returns \"failed\" if the matrix A has not been precomputed for the particular combination \\spad{degree(L), m}."))) NIL @@ -3879,7 +3879,7 @@ NIL (-987 S) ((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt's.} Minimum index is 0 in this type,{} cannot be changed"))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-988 A B) ((|constructor| (NIL "\\indented{1}{This package provides tools for operating on primitive arrays} with unary and binary functions involving different underlying types")) (|map| (((|PrimitiveArray| |#2|) (|Mapping| |#2| |#1|) (|PrimitiveArray| |#1|)) "\\spad{map(f,a)} applies function \\spad{f} to each member of primitive array \\spad{a} resulting in a new primitive array over a possibly different underlying domain.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|PrimitiveArray| |#1|) |#2|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the primitive array \\spad{a} and an accumulant initialized to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,[1,2,3],0)} does \\spad{3+(2+(1+0))}. Note: third argument \\spad{r} may be regarded as the identity element for the function \\spad{f}.")) (|scan| (((|PrimitiveArray| |#2|) (|Mapping| |#2| |#1| |#2|) (|PrimitiveArray| |#1|) |#2|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-arrays \\spad{x} of primitive array \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad{[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}."))) NIL @@ -3903,7 +3903,7 @@ NIL (-993 A B) ((|constructor| (NIL "This domain implements cartesian product")) (|selectsecond| ((|#2| $) "\\spad{selectsecond(x)} \\undocumented")) (|selectfirst| ((|#1| $) "\\spad{selectfirst(x)} \\undocumented")) (|makeprod| (($ |#1| |#2|) "\\spad{makeprod(a,b)} \\undocumented"))) ((-4506 -12 (|has| |#2| (-487)) (|has| |#1| (-487)))) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815)))) (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-871))))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815))))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748))))) (-12 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#2| (QUOTE (-381)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815))))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-871))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815)))) (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-871))))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815))))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748))))) (-12 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#2| (QUOTE (-381)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-815))) (|HasCategory| |#2| (QUOTE (-815))))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-871))))) (-994) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. An `Property' is a pair of name and value.")) (|property| (($ (|Identifier|) (|SExpression|)) "\\spad{property(n,val)} constructs a property with name `n' and value `val'.")) (|value| (((|SExpression|) $) "\\spad{value(p)} returns value of property \\spad{p}")) (|name| (((|Identifier|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) NIL @@ -4039,7 +4039,7 @@ NIL (-1027 R) ((|constructor| (NIL "\\spadtype{Quaternion} implements quaternions over a \\indented{2}{commutative ring. The main constructor function is \\spadfun{quatern}} \\indented{2}{which takes 4 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j}} \\indented{2}{imaginary part and the \\spad{k} imaginary part.}"))) ((-4502 |has| |#1| (-302)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-376))) (-2215 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (QUOTE (-559)))) +((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-376))) (-2217 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1208)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1091))) (|HasCategory| |#1| (QUOTE (-559)))) (-1028 S R) ((|constructor| (NIL "\\spadtype{QuaternionCategory} describes the category of quaternions and implements functions that are not representation specific.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(q)} returns \\spad{q} as a rational number,{} or \"failed\" if this is not possible. Note: if \\spad{rational?(q)} is \\spad{true},{} the conversion can be done and the rational number will be returned.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(q)} tries to convert \\spad{q} into a rational number. Error: if this is not possible. If \\spad{rational?(q)} is \\spad{true},{} the conversion will be done and the rational number returned.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(q)} returns {\\it \\spad{true}} if all the imaginary parts of \\spad{q} are zero and the real part can be converted into a rational number,{} and {\\it \\spad{false}} otherwise.")) (|abs| ((|#2| $) "\\spad{abs(q)} computes the absolute value of quaternion \\spad{q} (sqrt of norm).")) (|real| ((|#2| $) "\\spad{real(q)} extracts the real part of quaternion \\spad{q}.")) (|quatern| (($ |#2| |#2| |#2| |#2|) "\\spad{quatern(r,i,j,k)} constructs a quaternion from scalars.")) (|norm| ((|#2| $) "\\spad{norm(q)} computes the norm of \\spad{q} (the sum of the squares of the components).")) (|imagK| ((|#2| $) "\\spad{imagK(q)} extracts the imaginary \\spad{k} part of quaternion \\spad{q}.")) (|imagJ| ((|#2| $) "\\spad{imagJ(q)} extracts the imaginary \\spad{j} part of quaternion \\spad{q}.")) (|imagI| ((|#2| $) "\\spad{imagI(q)} extracts the imaginary \\spad{i} part of quaternion \\spad{q}.")) (|conjugate| (($ $) "\\spad{conjugate(q)} negates the imaginary parts of quaternion \\spad{q}."))) NIL @@ -4055,7 +4055,7 @@ NIL (-1031 S) ((|constructor| (NIL "Linked List implementation of a Queue")) (|queue| (($ (|List| |#1|)) "\\spad{queue([x,y,...,z])} creates a queue with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom) element \\spad{z}."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1032 S) ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL @@ -4067,11 +4067,11 @@ NIL (-1034 -1633 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4502 |has| (-421 |#2|) (-376)) (-4507 |has| (-421 |#2|) (-376)) (-4501 |has| (-421 |#2|) (-376)) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-421 |#2|) (QUOTE (-147))) (|HasCategory| (-421 |#2|) (QUOTE (-149))) (|HasCategory| (-421 |#2|) (QUOTE (-363))) (-2215 (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-381))) (-2215 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2215 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2215 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-363))))) (-2215 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -660) (QUOTE (-560)))) (-2215 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) +((|HasCategory| (-421 |#2|) (QUOTE (-147))) (|HasCategory| (-421 |#2|) (QUOTE (-149))) (|HasCategory| (-421 |#2|) (QUOTE (-363))) (-2217 (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-381))) (-2217 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2217 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2217 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-363))))) (-2217 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -660) (QUOTE (-560)))) (-2217 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (-1035 |bb|) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions or more generally as repeating expansions in any base.")) (|fractRadix| (($ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{fractRadix(pre,cyc)} creates a fractional radix expansion from a list of prefix ragits and a list of cyclic ragits. For example,{} \\spad{fractRadix([1],[6])} will return \\spad{0.16666666...}.")) (|wholeRadix| (($ (|List| (|Integer|))) "\\spad{wholeRadix(l)} creates an integral radix expansion from a list of ragits. For example,{} \\spad{wholeRadix([1,3,4])} will return \\spad{134}.")) (|cycleRagits| (((|List| (|Integer|)) $) "\\spad{cycleRagits(rx)} returns the cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{cycleRagits(x) = [7,1,4,2,8,5]}.")) (|prefixRagits| (((|List| (|Integer|)) $) "\\spad{prefixRagits(rx)} returns the non-cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{prefixRagits(x)=[1,0]}.")) (|fractRagits| (((|Stream| (|Integer|)) $) "\\spad{fractRagits(rx)} returns the ragits of the fractional part of a radix expansion.")) (|wholeRagits| (((|List| (|Integer|)) $) "\\spad{wholeRagits(rx)} returns the ragits of the integer part of a radix expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(rx)} returns the fractional part of a radix expansion."))) ((-4501 . T) (-4507 . T) (-4502 . T) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2215 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-939))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1051))) (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871))) (-2217 (|HasCategory| (-560) (QUOTE (-842))) (|HasCategory| (-560) (QUOTE (-871)))) (|HasCategory| (-560) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1183))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1208)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-939)))) (|HasCategory| (-560) (QUOTE (-147))))) (-1036) ((|constructor| (NIL "This package provides tools for creating radix expansions.")) (|radix| (((|Any|) (|Fraction| (|Integer|)) (|Integer|)) "\\spad{radix(x,b)} converts \\spad{x} to a radix expansion in base \\spad{b}."))) NIL @@ -4151,7 +4151,7 @@ NIL (-1055 |TheField|) ((|constructor| (NIL "This domain implements the real closure of an ordered field.")) (|relativeApprox| (((|Fraction| (|Integer|)) $ $) "\\axiom{relativeApprox(\\spad{n},{}\\spad{p})} gives a relative approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|mainCharacterization| (((|Union| (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) "failed") $) "\\axiom{mainCharacterization(\\spad{x})} is the main algebraic quantity of \\axiom{\\spad{x}} (\\axiom{SEG})")) (|algebraicOf| (($ (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) (|OutputForm|)) "\\axiom{algebraicOf(char)} is the external number"))) ((-4502 . T) (-4507 . T) (-4501 . T) (-4504 . T) (-4503 . T) ((-4511 "*") . T) (-4506 . T)) -((-2215 (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1069) (QUOTE (-560))))) +((-2217 (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1069) (QUOTE (-560))))) (-1056 -1633 L) ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op, [f1,...,fk])} returns \\spad{[op1,[g1,...,gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{fi} must satisfy \\spad{op fi = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op, s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) NIL @@ -4195,7 +4195,7 @@ NIL (-1066) ((|constructor| (NIL "A domain used to return the results from a call to the NAG Library. It prints as a list of names and types,{} though the user may choose to display values automatically if he or she wishes.")) (|showArrayValues| (((|Boolean|) (|Boolean|)) "\\spad{showArrayValues(true)} forces the values of array components to be \\indented{1}{displayed rather than just their types.}")) (|showScalarValues| (((|Boolean|) (|Boolean|)) "\\spad{showScalarValues(true)} forces the values of scalar components to be \\indented{1}{displayed rather than just their types.}"))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (QUOTE (-1208))) (|%list| (QUOTE |:|) (QUOTE -2710) (QUOTE (-51))))))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-1132))) (|HasCategory| (-1208) (QUOTE (-871))) (|HasCategory| (-51) (QUOTE (-1132))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (QUOTE (-1208))) (|%list| (QUOTE |:|) (QUOTE -2715) (QUOTE (-51))))))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1132))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-1132))) (|HasCategory| (-1208) (QUOTE (-871))) (|HasCategory| (-51) (QUOTE (-1132))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887))))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (QUOTE (-102)))) (-1067) ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) NIL @@ -4271,7 +4271,7 @@ NIL (-1085 |m| |n| R) ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) ((-4509 . T) (-4504 . T) (-4503 . T)) -((|HasCategory| |#3| (QUOTE (-175))) (-2215 (-12 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (QUOTE (-376)))) (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (QUOTE (-319))) (|HasCategory| |#3| (QUOTE (-571))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (|%list| (QUOTE -632) (QUOTE (-887))))) +((|HasCategory| |#3| (QUOTE (-175))) (-2217 (-12 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (QUOTE (-376)))) (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (QUOTE (-319))) (|HasCategory| |#3| (QUOTE (-571))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (|%list| (QUOTE -632) (QUOTE (-887))))) (-1086 |m| |n| R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) ((|constructor| (NIL "\\spadtype{RectangularMatrixCategoryFunctions2} provides functions between two matrix domains. The functions provided are \\spadfun{map} and \\spadfun{reduce}.")) (|reduce| ((|#7| (|Mapping| |#7| |#3| |#7|) |#6| |#7|) "\\spad{reduce(f,m,r)} returns a matrix \\spad{n} where \\spad{n[i,j] = f(m[i,j],r)} for all indices spad{\\spad{i}} and \\spad{j}.")) (|map| ((|#10| (|Mapping| |#7| |#3|) |#6|) "\\spad{map(f,m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}."))) NIL @@ -4307,7 +4307,7 @@ NIL (-1094) ((|constructor| (NIL "\\axiomType{RoutinesTable} implements a database and associated tuning mechanisms for a set of known NAG routines")) (|recoverAfterFail| (((|Union| (|String|) "failed") $ (|String|) (|Integer|)) "\\spad{recoverAfterFail(routs,routineName,ifailValue)} acts on the instructions given by the ifail list")) (|showTheRoutinesTable| (($) "\\spad{showTheRoutinesTable()} returns the current table of NAG routines.")) (|deleteRoutine!| (($ $ (|Symbol|)) "\\spad{deleteRoutine!(R,s)} destructively deletes the given routine from the current database of NAG routines")) (|getExplanations| (((|List| (|String|)) $ (|String|)) "\\spad{getExplanations(R,s)} gets the explanations of the output parameters for the given NAG routine.")) (|getMeasure| (((|Float|) $ (|Symbol|)) "\\spad{getMeasure(R,s)} gets the current value of the maximum measure for the given NAG routine.")) (|changeMeasure| (($ $ (|Symbol|) (|Float|)) "\\spad{changeMeasure(R,s,newValue)} changes the maximum value for a measure of the given NAG routine.")) (|changeThreshhold| (($ $ (|Symbol|) (|Float|)) "\\spad{changeThreshhold(R,s,newValue)} changes the value below which,{} given a NAG routine generating a higher measure,{} the routines will make no attempt to generate a measure.")) (|selectMultiDimensionalRoutines| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE's")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE's")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,y)} merges two tables \\spad{x} and \\spad{y}"))) ((-4509 . 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When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#2| |#2| $) "\\axiom{gcd(\\spad{r},{}\\spad{p})} returns the gcd of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{\\spad{nextsubResultant2}(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{\\spad{next_sousResultant2}}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{\\spad{LazardQuotient2}(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo b**(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo b**(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}cb]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}cb]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}cb]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}cb,{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + cb * cb = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a gcd of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#2|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#2|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a gcd-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#2|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)*r = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)*r = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)*r = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#4|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#4|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#4|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#4|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}lp)} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{lp}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}lp)} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{lp}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}lp)} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{lp}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}lp)} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{lp}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#4|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#4|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) NIL @@ -4371,7 +4371,7 @@ NIL (-1110 R UP M) ((|constructor| (NIL "Domain which represents simple algebraic extensions of arbitrary rings. The first argument to the domain,{} \\spad{R},{} is the underlying ring,{} the second argument is a domain of univariate polynomials over \\spad{K},{} while the last argument specifies the defining minimal polynomial. The elements of the domain are canonically represented as polynomials of degree less than that of the minimal polynomial with coefficients in \\spad{R}. The second argument is both the type of the third argument and the underlying representation used by \\spadtype{SAE} itself."))) ((-4502 |has| |#1| (-376)) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) ((-4511 "*") . T) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-363))) (-2215 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208))))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))))) +((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-363))) (-2217 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208))))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208)))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -929) (QUOTE (-1208))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))))) (-1111 UP SAE UPA) ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of the rational numbers (\\spadtype{Fraction Integer}).")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) NIL @@ -4403,7 +4403,7 @@ NIL (-1118 R) ((|constructor| (NIL "\\spadtype{SequentialDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is sequential. \\blankline"))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . 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A sequential ranking is a ranking \\spadfun{<} of the derivatives with the property that for any derivative \\spad{v},{} there are only a finite number of derivatives \\spad{u} with \\spad{u} \\spadfun{<} \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines a sequential ranking \\spadfun{<} on derivatives \\spad{u} by the lexicographic order on the pair (\\spadfun{variable}(\\spad{u}),{} \\spadfun{order}(\\spad{u}))."))) NIL @@ -4443,7 +4443,7 @@ NIL (-1128 S) ((|constructor| (NIL "A set over a domain \\spad{D} models the usual mathematical notion of a finite set of elements from \\spad{D}. Sets are unordered collections of distinct elements (that is,{} order and duplication does not matter). The notation \\spad{set [a,b,c]} can be used to create a set and the usual operations such as union and intersection are available to form new sets. In our implementation,{} \\Language{} maintains the entries in sorted order. Specifically,{} the parts function returns the entries as a list in ascending order and the extract operation returns the maximum entry. Given two sets \\spad{s} and \\spad{t} where \\spad{\\#s = m} and \\spad{\\#t = n},{} the complexity of \\indented{2}{\\spad{s = t} is \\spad{O(min(n,m))}} \\indented{2}{\\spad{s < t} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{union(s,t)},{} \\spad{intersect(s,t)},{} \\spad{minus(s,t)},{} \\spad{symmetricDifference(s,t)} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{member(x,t)} is \\spad{O(n log n)}} \\indented{2}{\\spad{insert(x,t)} and \\spad{remove(x,t)} is \\spad{O(n)}}"))) ((-4509 . T) (-4499 . T) (-4510 . 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Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#2| $) "\\spad{union(x,u)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{x},{}\\spad{u})} returns a copy of \\spad{u}.") (($ $ |#2|) "\\spad{union(u,x)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{u},{}\\spad{x})} returns a copy of \\spad{u}.") (($ $ $) "\\spad{union(u,v)} returns the set aggregate of elements which are members of either set aggregate \\spad{u} or \\spad{v}.")) (|subset?| (((|Boolean|) $ $) "\\spad{subset?(u,v)} tests if \\spad{u} is a subset of \\spad{v}. Note: equivalent to \\axiom{reduce(and,{}{member?(\\spad{x},{}\\spad{v}) for \\spad{x} in \\spad{u}},{}\\spad{true},{}\\spad{false})}.")) (|symmetricDifference| (($ $ $) "\\spad{symmetricDifference(u,v)} returns the set aggregate of elements \\spad{x} which are members of set aggregate \\spad{u} or set aggregate \\spad{v} but not both. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{symmetricDifference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note: \\axiom{symmetricDifference(\\spad{u},{}\\spad{v}) = union(difference(\\spad{u},{}\\spad{v}),{}difference(\\spad{v},{}\\spad{u}))}")) (|difference| (($ $ |#2|) "\\spad{difference(u,x)} returns the set aggregate \\spad{u} with element \\spad{x} removed. If \\spad{u} does not contain \\spad{x},{} a copy of \\spad{u} is returned. Note: \\axiom{difference(\\spad{s},{} \\spad{x}) = difference(\\spad{s},{} {\\spad{x}})}.") (($ $ $) "\\spad{difference(u,v)} returns the set aggregate \\spad{w} consisting of elements in set aggregate \\spad{u} but not in set aggregate \\spad{v}. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{difference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note: equivalent to the notation (not currently supported) \\axiom{{\\spad{x} for \\spad{x} in \\spad{u} | not member?(\\spad{x},{}\\spad{v})}}.")) (|intersect| (($ $ $) "\\spad{intersect(u,v)} returns the set aggregate \\spad{w} consisting of elements common to both set aggregates \\spad{u} and \\spad{v}. Note: equivalent to the notation (not currently supported) {\\spad{x} for \\spad{x} in \\spad{u} | member?(\\spad{x},{}\\spad{v})}.")) (|set| (($ (|List| |#2|)) "\\spad{set([x,y,...,z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.") (($) "\\spad{set()}\\$\\spad{D} creates an empty set aggregate of type \\spad{D}.")) (|brace| (($ (|List| |#2|)) "\\spad{brace([x,y,...,z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}. This form is considered obsolete. Use \\axiomFun{set} instead.") (($) "\\spad{brace()}\\$\\spad{D} (otherwise written {}\\$\\spad{D}) creates an empty set aggregate of type \\spad{D}. This form is considered obsolete. Use \\axiomFun{set} instead.")) (|part?| (((|Boolean|) $ $) "\\spad{s} < \\spad{t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) NIL @@ -4507,7 +4507,7 @@ NIL (-1144 |dimtot| |dim1| S) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered as if they were split into two blocks. The \\spad{dim1} parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. 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(-1080)))) (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (QUOTE (-1080)))) (-12 (|HasCategory| |#3| (QUOTE (-1080))) (|HasCategory| |#3| (|%list| (QUOTE -929) (QUOTE (-1208))))) (-2217 (|HasCategory| |#3| (QUOTE (-1080))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -1069) (QUOTE (-560)))))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -1069) (QUOTE (-560))))) (-12 (|HasCategory| |#3| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#3| (QUOTE (-1132)))) (|HasAttribute| |#3| (QUOTE -4506)) (-12 (|HasCategory| |#3| (QUOTE (-240))) (|HasCategory| |#3| (QUOTE (-1080)))) (-12 (|HasCategory| |#3| (QUOTE (-1080))) (|HasCategory| |#3| (|%list| (QUOTE -927) (QUOTE (-1208))))) (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-133))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1132))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (-1145 R |x|) ((|constructor| (NIL "This package produces functions for counting etc. real roots of univariate polynomials in \\spad{x} over \\spad{R},{} which must be an OrderedIntegralDomain")) (|countRealRootsMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRootsMultiple(p)} says how many real roots \\spad{p} has,{} counted with multiplicity")) (|SturmHabichtMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtMultiple(p1,p2)} computes c_{+}-c_{-} where c_{+} is the number of real roots of \\spad{p1} with \\spad{p2>0} and c_{-} is the number of real roots of \\spad{p1} with \\spad{p2<0}. If \\spad{p2=1} what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,p2)} computes c_{+}-c_{-} where c_{+} is the number of real roots of \\spad{p1} with \\spad{p2>0} and c_{-} is the number of real roots of \\spad{p1} with \\spad{p2<0}. If \\spad{p2=1} what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}"))) NIL @@ -4555,11 +4555,11 @@ NIL (-1156 R |VarSet|) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials. It is parameterized by the coefficient ring and the variable set which may be infinite. The variable ordering is determined by the variable set parameter. The coefficient ring may be non-commutative,{} but the variables are assumed to commute."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-939))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2215 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-939))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -911) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -911) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -915) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4507)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-939)))) (|HasCategory| |#1| (QUOTE (-147))))) (-1157 |Coef| |Var| SMP) ((|constructor| (NIL "This domain provides multivariate Taylor series with variables from an arbitrary ordered set. A Taylor series is represented by a stream of polynomials from the polynomial domain SMP. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial SMP.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) (-1158 R E V P) ((|constructor| (NIL "The category of square-free and normalized triangular sets. Thus,{} up to the primitivity axiom of [1],{} these sets are Lazard triangular sets.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991}"))) ((-4510 . T) (-4509 . T)) @@ -4619,11 +4619,11 @@ NIL (-1172 V C) ((|constructor| (NIL "This domain exports a modest implementation of splitting trees. Spliiting trees are needed when the evaluation of some quantity under some hypothesis requires to split the hypothesis into sub-cases. For instance by adding some new hypothesis on one hand and its negation on another hand. The computations are terminated is a splitting tree \\axiom{a} when \\axiom{status(value(a))} is \\axiom{\\spad{true}}. Thus,{} if for the splitting tree \\axiom{a} the flag \\axiom{status(value(a))} is \\axiom{\\spad{true}},{} then \\axiom{status(value(\\spad{d}))} is \\axiom{\\spad{true}} for any subtree \\axiom{\\spad{d}} of \\axiom{a}. This property of splitting trees is called the termination condition. If no vertex in a splitting tree \\axiom{a} is equal to another,{} \\axiom{a} is said to satisfy the no-duplicates condition. The splitting tree \\axiom{a} will satisfy this condition if nodes are added to \\axiom{a} by mean of \\axiom{splitNodeOf!} and if \\axiom{construct} is only used to create the root of \\axiom{a} with no children.")) (|splitNodeOf!| (($ $ $ (|List| (|SplittingNode| |#1| |#2|)) (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}ls,{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in ls | not subNodeOf?(\\spad{s},{}a,{}sub?)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.") (($ $ $ (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}ls)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in ls | not nodeOf?(\\spad{s},{}a)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.")) (|remove!| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove!(\\spad{s},{}a)} replaces a by remove(\\spad{s},{}a)")) (|remove| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove(\\spad{s},{}a)} returns the splitting tree obtained from a by removing every sub-tree \\axiom{\\spad{b}} such that \\axiom{value(\\spad{b})} and \\axiom{\\spad{s}} have the same value,{} condition and status.")) (|subNodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $ (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{subNodeOf?(\\spad{s},{}a,{}sub?)} returns \\spad{true} iff for some node \\axiom{\\spad{n}} in \\axiom{a} we have \\axiom{\\spad{s} = \\spad{n}} or \\axiom{status(\\spad{n})} and \\axiom{subNode?(\\spad{s},{}\\spad{n},{}sub?)}.")) (|nodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $) "\\axiom{nodeOf?(\\spad{s},{}a)} returns \\spad{true} iff some node of \\axiom{a} is equal to \\axiom{\\spad{s}}")) (|result| (((|List| (|Record| (|:| |val| |#1|) (|:| |tower| |#2|))) $) "\\axiom{result(a)} where \\axiom{ls} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$VT for \\spad{s} in ls]} if the computations are terminated in \\axiom{a} else an error is produced.")) (|conditions| (((|List| |#2|) $) "\\axiom{conditions(a)} returns the list of the conditions of the leaves of a")) (|construct| (($ |#1| |#2| |#1| (|List| |#2|)) "\\axiom{construct(\\spad{v1},{}\\spad{t},{}\\spad{v2},{}lt)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[[\\spad{v},{}\\spad{t}]\\$\\spad{S}]\\$\\% for \\spad{s} in ls]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}ls)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in ls]}.") (($ |#1| |#2| (|List| $)) "\\axiom{construct(\\spad{v},{}\\spad{t},{}la)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with \\axiom{la} as children list.") (($ (|SplittingNode| |#1| |#2|)) "\\axiom{construct(\\spad{s})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{\\spad{s}} and no children. Thus,{} if the status of \\axiom{\\spad{s}} is \\spad{false},{} \\axiom{[\\spad{s}]} represents the starting point of the evaluation \\axiom{value(\\spad{s})} under the hypothesis \\axiom{condition(\\spad{s})}.")) (|updateStatus!| (($ $) "\\axiom{updateStatus!(a)} returns a where the status of the vertices are updated to satisfy the \"termination condition\".")) (|extractSplittingLeaf| (((|Union| $ "failed") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1171) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132))) (-2215 (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132)))) (-2215 (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-887)))) (-12 (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1171) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132))))) (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-102)))) +((-12 (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1171) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132))) (-2217 (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132)))) (-2217 (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-887)))) (-12 (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1171) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-1132))))) (|HasCategory| (-1171 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-1171 |#1| |#2|) (QUOTE (-102)))) (-1173 |ndim| R) ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|Matrix| |#2|)) "\\spad{squareMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spadtype{SquareMatrix}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.")) (|new| (($ |#2|) "\\spad{new(c)} constructs a new \\spadtype{SquareMatrix} object of dimension \\spad{ndim} with initial entries equal to \\spad{c}."))) ((-4506 . T) (-4498 |has| |#2| (-6 (-4511 "*"))) (-4509 . T) (-4503 . T) (-4504 . T)) -((|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2215 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-376))) (-2215 (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) +((|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1069) (QUOTE (-560)))) (-2217 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-376))) (-2217 (|HasAttribute| |#2| (QUOTE (-4511 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) (-1174 S) ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,t,i)} returns the position \\axiom{\\spad{j} >= \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,t,i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} >= \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,i..j,t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,t,c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,s,wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\"*\")} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,t,i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note: \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note: \\axiom{suffix?(\\spad{s},{}\\spad{t}) == reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) == reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) NIL @@ -4647,7 +4647,7 @@ NIL (-1179 S) ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|List| |#1|)) "\\spad{stack([x,y,...,z])} creates a stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1180 A S) ((|constructor| (NIL "A stream aggregate is a linear aggregate which possibly has an infinite number of elements. A basic domain constructor which builds stream aggregates is \\spadtype{Stream}. From streams,{} a number of infinite structures such power series can be built. A stream aggregate may also be infinite since it may be cyclic. For example,{} see \\spadtype{DecimalExpansion}.")) (|possiblyInfinite?| (((|Boolean|) $) "\\spad{possiblyInfinite?(s)} tests if the stream \\spad{s} could possibly have an infinite number of elements. Note: for many datatypes,{} \\axiom{possiblyInfinite?(\\spad{s}) = not explictlyFinite?(\\spad{s})}.")) (|explicitlyFinite?| (((|Boolean|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note: for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) NIL @@ -4659,7 +4659,7 @@ NIL (-1182 |Key| |Ent| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) ((-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#2|)))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132)))) +((-12 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#2|)))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132)))) (-1183) ((|constructor| (NIL "A class of objects which can be 'stepped through'. Repeated applications of \\spadfun{nextItem} is guaranteed never to return duplicate items and only return \"failed\" after exhausting all elements of the domain. This assumes that the sequence starts with \\spad{init()}. For infinite domains,{} repeated application of \\spadfun{nextItem} is not required to reach all possible domain elements starting from any initial element. \\blankline Conditional attributes: \\indented{2}{infinite\\tab{15}repeated \\spad{nextItem}'s are never \"failed\".}")) (|nextItem| (((|Union| $ "failed") $) "\\spad{nextItem(x)} returns the next item,{} or \"failed\" if domain is exhausted.")) (|init| (($) "\\spad{init()} chooses an initial object for stepping."))) NIL @@ -4675,7 +4675,7 @@ NIL (-1186 S) ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,s)} returns \\spad{[x0,x1,...,x(n)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = true}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,s)} returns \\spad{[x0,x1,...,x(n-1)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = false}.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,x)} creates an infinite stream whose first element is \\spad{x} and whose \\spad{n}th element (\\spad{n > 1}) is \\spad{f} applied to the previous element. Note: \\spad{generate(f,x) = [x,f(x),f(f(x)),...]}.") (($ (|Mapping| |#1|)) "\\spad{generate(f)} creates an infinite stream all of whose elements are equal to \\spad{f()}. Note: \\spad{generate(f) = [f(),f(),f(),...]}.")) (|setrest!| (($ $ (|Integer|) $) "\\spad{setrest!(x,n,y)} sets rest(\\spad{x},{}\\spad{n}) to \\spad{y}. The function will expand cycles if necessary.")) (|showAll?| (((|Boolean|)) "\\spad{showAll?()} returns \\spad{true} if all computed entries of streams will be displayed.")) (|showAllElements| (((|OutputForm|) $) "\\spad{showAllElements(s)} creates an output form which displays all computed elements.")) (|output| (((|Void|) (|Integer|) $) "\\spad{output(n,st)} computes and displays the first \\spad{n} entries of \\spad{st}.")) (|cons| (($ |#1| $) "\\spad{cons(a,s)} returns a stream whose \\spad{first} is \\spad{a} and whose \\spad{rest} is \\spad{s}. Note: \\spad{cons(a,s) = concat(a,s)}.")) (|delay| (($ (|Mapping| $)) "\\spad{delay(f)} creates a stream with a lazy evaluation defined by function \\spad{f}. Caution: This function can only be called in compiled code.")) (|findCycle| (((|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|))) (|NonNegativeInteger|) $) "\\spad{findCycle(n,st)} determines if \\spad{st} is periodic within \\spad{n}.")) (|repeating?| (((|Boolean|) (|List| |#1|) $) "\\spad{repeating?(l,s)} returns \\spad{true} if a stream \\spad{s} is periodic with period \\spad{l},{} and \\spad{false} otherwise.")) (|repeating| (($ (|List| |#1|)) "\\spad{repeating(l)} is a repeating stream whose period is the list \\spad{l}.")) (|shallowlyMutable| ((|attribute|) "one may destructively alter a stream by assigning new values to its entries."))) ((-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1187 S) ((|constructor| (NIL "Functions defined on streams with entries in one set.")) (|concat| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{concat(u)} returns the left-to-right concatentation of the streams in \\spad{u}. Note: \\spad{concat(u) = reduce(concat,u)}."))) NIL @@ -4691,11 +4691,11 @@ NIL (-1190) ((|string| (($ (|DoubleFloat|)) "\\spad{string f} returns the decimal representation of \\spad{f} in a string") (($ (|Integer|)) "\\spad{string i} returns the decimal representation of \\spad{i} in a string"))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2215 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-146) (QUOTE (-871))) (-2215 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) +((-2217 (-12 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2217 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-146) (QUOTE (-871))) (-2217 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1132))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-1191 |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (QUOTE (-1190))) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#1|)))))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-1132))) (|HasCategory| (-1190) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2215 (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-102)))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (QUOTE (-1190))) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#1|)))))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-1132))) (|HasCategory| (-1190) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2217 (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-102)))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (QUOTE (-102)))) (-1192 A) ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,r,g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,a1,..],[b0,b1,..])} returns \\spad{[a0/b0,a1/b1,..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,0>,b<0,1>,...],[b<1,0>,b<1,1>,.],...]}. the differential equation has the form \\spad{y' = sum(i=0 to infinity,j=0 to infinity,b<i,j>*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,[a0,a1,a2,...]) = [a,a0,a1/2,a2/3,...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,b,st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,b,st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,0>,a<0,1>,..],[a<1,0>,a<1,1>,..],[a<2,0>,a<2,1>,..],..]} and \\spad{addiag(x) = [b<0,b<1>,...], then b<k> = sum(i+j=k,a<i,j>)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient should be invertible.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,[a0,a1,a2,..])} returns \\spad{[f(0)*a0,f(1)*a1,f(2)*a2,..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,a1,a2,...])} returns \\spad{[a1,2 a2,3 a3,...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,a1,..],[b0,b1,..])} returns \\spad{[a0*b0,a1*b1,..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,n+2,n+4,...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,n+1,n+2,...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by r: \\spad{[a0,a1,...] * r = [a0 * r,a1 * r,...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,a1,...] = [r * a0,r * a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and b: \\spad{[a0,a1,...] * [b0,b1,...] = [c0,c1,...]} where \\spad{ck = sum(i + j = k,ai * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,a1,...] = [- a0,- a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] - [b0,b1,..] = [a0 - b0,a1 - b1,..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] + [b0,b1,..] = [a0 + b0,a1 + b1,..]}"))) NIL @@ -4726,8 +4726,8 @@ NIL NIL (-1199 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,x,3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. 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(|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n), n = a..b)} returns \\spad{f}(a) + \\spad{f}(\\spad{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 @@ -4739,7 +4739,7 @@ NIL (-1202 R) ((|constructor| (NIL "This domain represents univariate polynomials over arbitrary (not necessarily commutative) coefficient rings. The variable is unspecified so that the variable displays as \\spad{?} on output. If it is necessary to specify the variable name,{} use type \\spadtype{UnivariatePolynomial}. The representation is sparse in the sense that only non-zero terms are represented.")) 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mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|SparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{map(func, poly)} creates a new polynomial by applying \\spad{func} to every non-zero coefficient of the polynomial poly."))) NIL @@ -4751,11 +4751,11 @@ NIL (-1205 |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."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2215 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2582) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2215 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2284) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3595) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2217 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2584) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2217 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2941) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3599) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) (-1206 |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.")) (|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}."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1143))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2582) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2215 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2284) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3595) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1143))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2584) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2217 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2941) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3599) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) (-1207) ((|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 @@ -4771,7 +4771,7 @@ NIL (-1210 R) ((|constructor| (NIL "This domain implements symmetric polynomial"))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-6 -4507)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2215 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| (-1002) (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasAttribute| |#1| (QUOTE -4507))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2217 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| (-1002) (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasAttribute| |#1| (QUOTE -4507))) (-1211) ((|constructor| (NIL "Creates and manipulates one global symbol table for FORTRAN code generation,{} containing details of types,{} dimensions,{} and argument lists.")) (|symbolTableOf| (((|SymbolTable|) (|Symbol|) $) "\\spad{symbolTableOf(f,tab)} returns the symbol table of \\spad{f}")) (|argumentListOf| (((|List| (|Symbol|)) (|Symbol|) $) "\\spad{argumentListOf(f,tab)} returns the argument list of \\spad{f}")) (|returnTypeOf| (((|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) (|Symbol|) $) "\\spad{returnTypeOf(f,tab)} returns the type of the object returned by \\spad{f}")) (|empty| (($) "\\spad{empty()} creates a new,{} empty symbol table.")) (|printTypes| (((|Void|) (|Symbol|)) "\\spad{printTypes(tab)} produces FORTRAN type declarations from \\spad{tab},{} on the current FORTRAN output stream")) (|printHeader| (((|Void|)) "\\spad{printHeader()} produces the FORTRAN header for the current subprogram in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|)) "\\spad{printHeader(f)} produces the FORTRAN header for subprogram \\spad{f} in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|) $) "\\spad{printHeader(f,tab)} produces the FORTRAN header for subprogram \\spad{f} in symbol table \\spad{tab} on the current FORTRAN output stream.")) (|returnType!| (((|Void|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(t)} declares that the return type of he current subprogram in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(f,t)} declares that the return type of subprogram \\spad{f} in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) $) "\\spad{returnType!(f,t,tab)} declares that the return type of subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{t}.")) (|argumentList!| (((|Void|) (|List| (|Symbol|))) "\\spad{argumentList!(l)} declares that the argument list for the current subprogram in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|))) "\\spad{argumentList!(f,l)} declares that the argument list for subprogram \\spad{f} in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|)) $) "\\spad{argumentList!(f,l,tab)} declares that the argument list for subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{l}.")) (|endSubProgram| (((|Symbol|)) "\\spad{endSubProgram()} asserts that we are no longer processing the current subprogram.")) (|currentSubProgram| (((|Symbol|)) "\\spad{currentSubProgram()} returns the name of the current subprogram being processed")) (|newSubProgram| (((|Void|) (|Symbol|)) "\\spad{newSubProgram(f)} asserts that from now on type declarations are part of subprogram \\spad{f}.")) (|declare!| (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|)) "\\spad{declare!(u,t,asp)} declares the parameter \\spad{u} to have type \\spad{t} in \\spad{asp}.") (((|FortranType|) (|Symbol|) (|FortranType|)) "\\spad{declare!(u,t)} declares the parameter \\spad{u} to have type \\spad{t} in the current level of the symbol table.") (((|FortranType|) (|List| (|Symbol|)) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameters \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.") (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameter \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.")) (|clearTheSymbolTable| (((|Void|) (|Symbol|)) "\\spad{clearTheSymbolTable(x)} removes the symbol \\spad{x} from the table") (((|Void|)) "\\spad{clearTheSymbolTable()} clears the current symbol table.")) (|showTheSymbolTable| (($) "\\spad{showTheSymbolTable()} returns the current symbol table."))) NIL @@ -4811,7 +4811,7 @@ NIL (-1220 |Key| |Entry|) ((|constructor| (NIL "This is the general purpose table type. The keys are hashed to look up the entries. This creates a \\spadtype{HashTable} if equal for the Key domain is consistent with Lisp EQUAL otherwise an \\spadtype{AssociationList}"))) ((-4509 . T) (-4510 . T)) -((-12 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3829) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2710) (|devaluate| |#2|)))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2215 (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3830) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -2715) (|devaluate| |#2|)))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1132)))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1132))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#2| (QUOTE (-1132))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887))))) (-2217 (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (QUOTE (-102)))) (-1221 S) ((|constructor| (NIL "\\indented{1}{The tableau domain is for printing Young tableaux,{} and} coercions to and from List List \\spad{S} where \\spad{S} is a set.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(t)} converts a tableau \\spad{t} to an output form.")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\spad{listOfLists t} converts a tableau \\spad{t} to a list of lists.")) (|tableau| (($ (|List| (|List| |#1|))) "\\spad{tableau(ll)} converts a list of lists \\spad{ll} to a tableau."))) NIL @@ -4871,7 +4871,7 @@ NIL (-1235 S) ((|constructor| (NIL "\\spadtype{Tree(S)} is a basic domains of tree structures. Each tree is either empty or else is a {\\it node} consisting of a value and a list of (sub)trees.")) (|cyclicParents| (((|List| $) $) "\\spad{cyclicParents(t)} returns a list of cycles that are parents of \\spad{t}.")) (|cyclicEqual?| (((|Boolean|) $ $) "\\spad{cyclicEqual?(t1, t2)} tests of two cyclic trees have the same structure.")) (|cyclicEntries| (((|List| $) $) "\\spad{cyclicEntries(t)} returns a list of top-level cycles in tree \\spad{t}.")) (|cyclicCopy| (($ $) "\\spad{cyclicCopy(l)} makes a copy of a (possibly) cyclic tree \\spad{l}.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(t)} tests if \\spad{t} is a cyclic tree.")) (|tree| (($ |#1|) "\\spad{tree(nd)} creates a tree with value \\spad{nd},{} and no children") (($ (|List| |#1|)) "\\spad{tree(ls)} creates a tree from a list of elements of \\spad{s}.") (($ |#1| (|List| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) ((-4510 . T) (-4509 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1132))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1132)))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1236 S) ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL @@ -4895,7 +4895,7 @@ NIL (-1241 |Coef|) ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|Mapping| $) (|Symbol|) |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ (|Symbol|) |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|coerce| (($ (|Polynomial| |#1|)) "\\spad{coerce(s)} regroups terms of \\spad{s} by total degree \\indented{1}{and forms a series.}") (($ (|Symbol|)) "\\spad{coerce(s)} converts a variable to a Taylor series")) (|coefficient| (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4504 . T) (-4503 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) (-1242 S R E V P) ((|constructor| (NIL "The category of triangular sets of multivariate polynomials with coefficients in an integral domain. Let \\axiom{\\spad{R}} be an integral domain and \\axiom{\\spad{V}} a finite ordered set of variables,{} say \\axiom{\\spad{X1} < \\spad{X2} < ... < Xn}. A set \\axiom{\\spad{S}} of polynomials in \\axiom{\\spad{R}[\\spad{X1},{}\\spad{X2},{}...,{}Xn]} is triangular if no elements of \\axiom{\\spad{S}} lies in \\axiom{\\spad{R}},{} and if two distinct elements of \\axiom{\\spad{S}} have distinct main variables. Note that the empty set is a triangular set. A triangular set is not necessarily a (lexicographical) Groebner basis and the notion of reduction related to triangular sets is based on the recursive view of polynomials. We recall this notion here and refer to [1] for more details. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a non-constant polynomial \\axiom{\\spad{Q}} if the degree of \\axiom{\\spad{P}} in the main variable of \\axiom{\\spad{Q}} is less than the main degree of \\axiom{\\spad{Q}}. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a triangular set \\axiom{\\spad{T}} if it is reduced \\spad{w}.\\spad{r}.\\spad{t}. every polynomial of \\axiom{\\spad{T}}. \\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}")) (|coHeight| (((|NonNegativeInteger|) $) "\\axiom{coHeight(ts)} returns \\axiom{size()\\$\\spad{V}} minus \\axiom{\\#ts}.")) (|extend| (($ $ |#5|) "\\axiom{extend(ts,{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{ts},{} according to the properties of triangular sets of the current category If the required properties do not hold an error is returned.")) (|extendIfCan| (((|Union| $ "failed") $ |#5|) "\\axiom{extendIfCan(ts,{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{ts},{} according to the properties of triangular sets of the current domain. If the required properties do not hold then \"failed\" is returned. This operation encodes in some sense the properties of the triangular sets of the current category. Is is used to implement the \\axiom{construct} operation to guarantee that every triangular set build from a list of polynomials has the required properties.")) (|select| (((|Union| |#5| "failed") $ |#4|) "\\axiom{select(ts,{}\\spad{v})} returns the polynomial of \\axiom{ts} with \\axiom{\\spad{v}} as main variable,{} if any.")) (|algebraic?| (((|Boolean|) |#4| $) "\\axiom{algebraic?(\\spad{v},{}ts)} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{ts}.")) (|algebraicVariables| (((|List| |#4|) $) "\\axiom{algebraicVariables(ts)} returns the decreasingly sorted list of the main variables of the polynomials of \\axiom{ts}.")) (|rest| (((|Union| $ "failed") $) "\\axiom{rest(ts)} returns the polynomials of \\axiom{ts} with smaller main variable than \\axiom{mvar(ts)} if \\axiom{ts} is not empty,{} otherwise returns \"failed\"")) (|last| (((|Union| |#5| "failed") $) "\\axiom{last(ts)} returns the polynomial of \\axiom{ts} with smallest main variable if \\axiom{ts} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|first| (((|Union| |#5| "failed") $) "\\axiom{first(ts)} returns the polynomial of \\axiom{ts} with greatest main variable if \\axiom{ts} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|zeroSetSplitIntoTriangularSystems| (((|List| (|Record| (|:| |close| $) (|:| |open| (|List| |#5|)))) (|List| |#5|)) "\\axiom{zeroSetSplitIntoTriangularSystems(lp)} returns a list of triangular systems \\axiom{[[\\spad{ts1},{}\\spad{qs1}],{}...,{}[tsn,{}qsn]]} such that the zero set of \\axiom{lp} is the union of the closures of the \\axiom{W_i} where \\axiom{W_i} consists of the zeros of \\axiom{ts} which do not cancel any polynomial in \\axiom{qsi}.")) (|zeroSetSplit| (((|List| $) (|List| |#5|)) "\\axiom{zeroSetSplit(lp)} returns a list \\axiom{lts} of triangular sets such that the zero set of \\axiom{lp} is the union of the closures of the regular zero sets of the members of \\axiom{lts}.")) (|reduceByQuasiMonic| ((|#5| |#5| $) "\\axiom{reduceByQuasiMonic(\\spad{p},{}ts)} returns the same as \\axiom{remainder(\\spad{p},{}collectQuasiMonic(ts)).polnum}.")) (|collectQuasiMonic| (($ $) "\\axiom{collectQuasiMonic(ts)} returns the subset of \\axiom{ts} consisting of the polynomials with initial in \\axiom{\\spad{R}}.")) (|removeZero| ((|#5| |#5| $) "\\axiom{removeZero(\\spad{p},{}ts)} returns \\axiom{0} if \\axiom{\\spad{p}} reduces to \\axiom{0} by pseudo-division \\spad{w}.\\spad{r}.\\spad{t} \\axiom{ts} otherwise returns a polynomial \\axiom{\\spad{q}} computed from \\axiom{\\spad{p}} by removing any coefficient in \\axiom{\\spad{p}} reducing to \\axiom{0}.")) (|initiallyReduce| ((|#5| |#5| $) "\\axiom{initiallyReduce(\\spad{p},{}ts)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}ts)} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}.")) (|headReduce| ((|#5| |#5| $) "\\axiom{headReduce(\\spad{p},{}ts)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduce?(\\spad{r},{}ts)} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}.")) (|stronglyReduce| ((|#5| |#5| $) "\\axiom{stronglyReduce(\\spad{p},{}ts)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{stronglyReduced?(\\spad{r},{}ts)} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}.")) (|rewriteSetWithReduction| (((|List| |#5|) (|List| |#5|) $ (|Mapping| |#5| |#5| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{rewriteSetWithReduction(lp,{}ts,{}redOp,{}redOp?)} returns a list \\axiom{lq} of polynomials such that \\axiom{[reduce(\\spad{p},{}ts,{}redOp,{}redOp?) for \\spad{p} in lp]} and \\axiom{lp} have the same zeros inside the regular zero set of \\axiom{ts}. Moreover,{} for every polynomial \\axiom{\\spad{q}} in \\axiom{lq} and every polynomial \\axiom{\\spad{t}} in \\axiom{ts} \\axiom{redOp?(\\spad{q},{}\\spad{t})} holds and there exists a polynomial \\axiom{\\spad{p}} in the ideal generated by \\axiom{lp} and a product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = f*q + redOp(\\spad{p},{}\\spad{q})}.")) (|reduce| ((|#5| |#5| $ (|Mapping| |#5| |#5| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{reduce(\\spad{p},{}ts,{}redOp,{}redOp?)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{redOp?(\\spad{r},{}\\spad{p})} holds for every \\axiom{\\spad{p}} of \\axiom{ts} and there exists some product \\axiom{\\spad{h}} of the initials of the members of \\axiom{ts} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = f*q + redOp(\\spad{p},{}\\spad{q})}.")) (|autoReduced?| (((|Boolean|) $ (|Mapping| (|Boolean|) |#5| (|List| |#5|))) "\\axiom{autoReduced?(ts,{}redOp?)} returns \\spad{true} iff every element of \\axiom{ts} is reduced \\spad{w}.\\spad{r}.\\spad{t} to every other in the sense of \\axiom{redOp?}")) (|initiallyReduced?| (((|Boolean|) $) "\\spad{initiallyReduced?(ts)} returns \\spad{true} iff for every element \\axiom{\\spad{p}} of \\axiom{\\spad{ts}} \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the other elements of \\axiom{\\spad{ts}} with the same main variable.") (((|Boolean|) |#5| $) "\\axiom{initiallyReduced?(\\spad{p},{}ts)} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the elements of \\axiom{ts} with the same main variable.")) (|headReduced?| (((|Boolean|) $) "\\spad{headReduced?(ts)} returns \\spad{true} iff the head of every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#5| $) "\\axiom{headReduced?(\\spad{p},{}ts)} returns \\spad{true} iff the head of \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{ts}.")) (|stronglyReduced?| (((|Boolean|) $) "\\axiom{stronglyReduced?(ts)} returns \\spad{true} iff every element of \\axiom{ts} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{ts}.") (((|Boolean|) |#5| $) "\\axiom{stronglyReduced?(\\spad{p},{}ts)} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{ts}.")) (|reduced?| (((|Boolean|) |#5| $ (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{reduced?(\\spad{p},{}ts,{}redOp?)} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. in the sense of the operation \\axiom{redOp?},{} that is if for every \\axiom{\\spad{t}} in \\axiom{ts} \\axiom{redOp?(\\spad{p},{}\\spad{t})} holds.")) (|normalized?| (((|Boolean|) $) "\\axiom{normalized?(ts)} returns \\spad{true} iff for every axiom{\\spad{p}} in axiom{ts} we have \\axiom{normalized?(\\spad{p},{}us)} where \\axiom{us} is \\axiom{collectUnder(ts,{}mvar(\\spad{p}))}.") (((|Boolean|) |#5| $) "\\axiom{normalized?(\\spad{p},{}ts)} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variables of the polynomials of \\axiom{ts}")) (|quasiComponent| (((|Record| (|:| |close| (|List| |#5|)) (|:| |open| (|List| |#5|))) $) "\\axiom{quasiComponent(ts)} returns \\axiom{[lp,{}lq]} where \\axiom{lp} is the list of the members of \\axiom{ts} and \\axiom{lq}is \\axiom{initials(ts)}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(ts)} returns the product of main degrees of the members of \\axiom{ts}.")) (|initials| (((|List| |#5|) $) "\\axiom{initials(ts)} returns the list of the non-constant initials of the members of \\axiom{ts}.")) (|basicSet| (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#5|))) "failed") (|List| |#5|) (|Mapping| (|Boolean|) |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{basicSet(ps,{}pred?,{}redOp?)} returns the same as \\axiom{basicSet(qs,{}redOp?)} where \\axiom{qs} consists of the polynomials of \\axiom{ps} satisfying property \\axiom{pred?}.") (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#5|))) "failed") (|List| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{basicSet(ps,{}redOp?)} returns \\axiom{[bs,{}ts]} where \\axiom{concat(bs,{}ts)} is \\axiom{ps} and \\axiom{bs} is a basic set in Wu Wen Tsun sense of \\axiom{ps} \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?},{} if no non-zero constant polynomial lie in \\axiom{ps},{} otherwise \\axiom{\"failed\"} is returned.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(\\spad{ts1},{}\\spad{ts2})} returns \\spad{true} iff \\axiom{\\spad{ts2}} has higher rank than \\axiom{\\spad{ts1}} in Wu Wen Tsun sense."))) NIL @@ -4962,8 +4962,8 @@ NIL NIL (-1258 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariateLaurentSeries(Integer,x,3)} represents Laurent series in} \\indented{2}{\\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. 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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 @@ -4999,7 +4999,7 @@ NIL (-1267 |x| R) ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4511 "*") |has| |#2| (-175)) (-4502 |has| |#2| (-571)) (-4505 |has| |#2| (-376)) (-4507 |has| |#2| (-6 -4507)) (-4504 . T) (-4503 . T) (-4506 . 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(-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-1183))) (|HasCategory| |#2| (|%list| (QUOTE -929) (QUOTE (-1208)))) (|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-240))) (|HasAttribute| |#2| (QUOTE -4507)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (-2217 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-939)))) (|HasCategory| |#2| (QUOTE (-147))))) (-1268 |x| R |y| S) ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from \\spadtype{UnivariatePolynomial}(\\spad{x},{}\\spad{R}) to \\spadtype{UnivariatePolynomial}(\\spad{y},{}\\spad{S}). Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|UnivariatePolynomial| |#3| |#4|) (|Mapping| |#4| |#2|) (|UnivariatePolynomial| |#1| |#2|)) "\\spad{map(func, poly)} creates a new polynomial by applying \\spad{func} to every non-zero coefficient of the polynomial poly."))) NIL @@ -5035,7 +5035,7 @@ NIL (-1276 S |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree <= \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#2| (|%list| (QUOTE *) (|%list| (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1143))) (|HasSignature| |#2| (|%list| (QUOTE **) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (|%list| (QUOTE -2582) (|%list| (|devaluate| |#2|) (QUOTE (-1208)))))) +((|HasCategory| |#2| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#2| (|%list| (QUOTE *) (|%list| (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1143))) (|HasSignature| |#2| (|%list| (QUOTE **) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (|%list| (QUOTE -2584) (|%list| (|devaluate| |#2|) (QUOTE (-1208)))))) (-1277 |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree <= \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4503 . T) (-4504 . T) (-4506 . T)) @@ -5047,7 +5047,7 @@ NIL (-1279 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|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."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2215 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2582) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2215 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2284) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3595) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2217 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2584) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2217 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2941) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3599) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) (-1280 |Coef1| |Coef2| |var1| |var2| |cen1| |cen2|) ((|constructor| (NIL "Mapping package for univariate Puiseux series. This package allows one to apply a function to the coefficients of a univariate Puiseux series.")) (|map| (((|UnivariatePuiseuxSeries| |#2| |#4| |#6|) (|Mapping| |#2| |#1|) (|UnivariatePuiseuxSeries| |#1| |#3| |#5|)) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of the Puiseux series \\spad{g(x)}."))) NIL @@ -5067,11 +5067,11 @@ NIL (-1284 |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)}."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4507 |has| |#1| (-376)) (-4501 |has| |#1| (-376)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2215 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2582) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2215 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2284) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3595) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560)))))) +((|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1143))) (|HasCategory| |#1| (QUOTE (-376))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2217 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2584) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2217 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2941) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3599) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-1285 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))}."))) (((-4511 "*") |has| (-1279 |#2| |#3| |#4|) (-175)) (-4502 |has| (-1279 |#2| |#3| |#4|) (-571)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-175))) (-2215 (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-376))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-466))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-571)))) +((|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-175))) (-2217 (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -1069) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1279 |#2| |#3| |#4|) (|%list| (QUOTE -1069) (QUOTE (-560)))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-376))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-466))) (|HasCategory| (-1279 |#2| |#3| |#4|) (QUOTE (-571)))) (-1286 A S) ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note: afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#2| $ |#2|) "\\spad{setlast!(u,x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#2| $ "last" |#2|) "\\spad{setelt(u,\"last\",x)} (also written: \\axiom{\\spad{u}.last := \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,\"rest\",v)} (also written: \\axiom{\\spad{u}.rest := \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#2| $ "first" |#2|) "\\spad{setelt(u,\"first\",x)} (also written: \\axiom{\\spad{u}.first := \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#2| $ |#2|) "\\spad{setfirst!(u,x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#2|) "\\spad{concat!(u,x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note: \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note: \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#2| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note: \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#2| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note: \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note: if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} >= 0}) nodes of \\spad{u}. Note: \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#2| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note: for lists,{} \\axiom{last(\\spad{u}) = \\spad{u} . (maxIndex \\spad{u}) = \\spad{u} . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,n)} returns the \\axiom{\\spad{n}}th (\\spad{n} >= 0) node of \\spad{u}. Note: \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#2| $ "last") "\\spad{elt(u,\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#2| $ "first") "\\spad{elt(u,\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} >= 0}) elements of \\spad{u}.") ((|#2| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#2| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) NIL @@ -5083,7 +5083,7 @@ NIL (-1288 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,b,f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,b,f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and invertible 1st order coefficient.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4503 . T) (-4504 . T) (-4506 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2215 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1143))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2582) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2215 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2284) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3595) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2217 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -927) (QUOTE (-1208)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1143))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2584) (|%list| (|devaluate| |#1|) (QUOTE (-1208)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2217 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-989))) (|HasCategory| |#1| (QUOTE (-1234)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2941) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1208))))) (|HasSignature| |#1| (|%list| (QUOTE -3599) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#1|))))))) (-1289 |Coef1| |Coef2| UTS1 UTS2) ((|constructor| (NIL "Mapping package for univariate Taylor series. \\indented{2}{This package allows one to apply a function to the coefficients of} \\indented{2}{a univariate Taylor series.}")) (|map| ((|#4| (|Mapping| |#2| |#1|) |#3|) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of \\indented{1}{the Taylor series \\spad{g(x)}.}"))) NIL @@ -5091,7 +5091,7 @@ NIL (-1290 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 (-560)))) (|HasCategory| |#2| (QUOTE (-989))) (|HasCategory| |#2| (QUOTE (-1234))) (|HasSignature| |#2| (|%list| (QUOTE -3595) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#2|)))) (|HasSignature| |#2| (|%list| (QUOTE -2284) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1208))))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376)))) +((|HasCategory| |#2| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-989))) (|HasCategory| |#2| (QUOTE (-1234))) (|HasSignature| |#2| (|%list| (QUOTE -3599) (|%list| (|%list| (QUOTE -663) (QUOTE (-1208))) (|devaluate| |#2|)))) (|HasSignature| |#2| (|%list| (QUOTE -2941) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1208))))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376)))) (-1291 |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."))) (((-4511 "*") |has| |#1| (-175)) (-4502 |has| |#1| (-571)) (-4503 . T) (-4504 . T) (-4506 . T)) @@ -5123,7 +5123,7 @@ NIL (-1298 R) ((|constructor| (NIL "This type represents vector like objects with varying lengths and indexed by a finite segment of integers starting at 1.")) (|vector| (($ (|List| |#1|)) "\\spad{vector(l)} converts the list \\spad{l} to a vector."))) ((-4510 . T) (-4509 . T)) -((-2215 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2215 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2215 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2215 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (-12 (|HasCategory| |#1| (QUOTE (-1033))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2217 (-12 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2217 (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2217 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| |#1| (QUOTE (-871))) (-2217 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132)))) (|HasCategory| (-560) (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1080))) (-12 (|HasCategory| |#1| (QUOTE (-1033))) (|HasCategory| |#1| (QUOTE (-1080)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-887)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1132))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-1299 A B) ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} vectors of elements of some type \\spad{A} and functions from \\spad{A} to another of type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a vector over \\spad{B}.")) (|map| (((|Union| (|Vector| |#2|) "failed") (|Mapping| (|Union| |#2| "failed") |#1|) (|Vector| |#1|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values or \\spad{\"failed\"}.") (((|Vector| |#2|) (|Mapping| |#2| |#1|) (|Vector| |#1|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if \\spad{vec} is empty.")) (|scan| (((|Vector| |#2|) (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) NIL @@ -5260,4 +5260,4 @@ NIL NIL NIL NIL -((-3 NIL 2294598 2294603 2294608 2294613) (-2 NIL 2294578 2294583 2294588 2294593) (-1 NIL 2294558 2294563 2294568 2294573) (0 NIL 2294538 2294543 2294548 2294553) (-1328 "ZMOD.spad" 2294347 2294360 2294476 2294533) (-1327 "ZLINDEP.spad" 2293445 2293456 2294337 2294342) (-1326 "ZDSOLVE.spad" 2283405 2283427 2293435 2293440) (-1325 "YSTREAM.spad" 2282900 2282911 2283395 2283400) (-1324 "YDIAGRAM.spad" 2282534 2282543 2282890 2282895) (-1323 "XRPOLY.spad" 2281754 2281774 2282390 2282459) (-1322 "XPR.spad" 2279549 2279562 2281472 2281571) (-1321 "XPOLYC.spad" 2278868 2278884 2279475 2279544) (-1320 "XPOLY.spad" 2278423 2278434 2278724 2278793) (-1319 "XPBWPOLY.spad" 2276862 2276882 2278197 2278266) (-1318 "XFALG.spad" 2273910 2273926 2276788 2276857) (-1317 "XF.spad" 2272373 2272388 2273812 2273905) (-1316 "XF.spad" 2270816 2270833 2272257 2272262) (-1315 "XEXPPKG.spad" 2270075 2270101 2270806 2270811) (-1314 "XDPOLY.spad" 2269689 2269705 2269931 2270000) (-1313 "XALG.spad" 2269357 2269368 2269645 2269684) (-1312 "WUTSET.spad" 2265327 2265344 2268958 2268985) (-1311 "WP.spad" 2264534 2264578 2265185 2265252) (-1310 "WHILEAST.spad" 2264332 2264341 2264524 2264529) (-1309 "WHEREAST.spad" 2264003 2264012 2264322 2264327) (-1308 "WFFINTBS.spad" 2261666 2261688 2263993 2263998) (-1307 "WEIER.spad" 2259888 2259899 2261656 2261661) (-1306 "VSPACE.spad" 2259561 2259572 2259856 2259883) (-1305 "VSPACE.spad" 2259254 2259267 2259551 2259556) (-1304 "VOID.spad" 2258931 2258940 2259244 2259249) (-1303 "VIEWDEF.spad" 2254132 2254141 2258921 2258926) (-1302 "VIEW3D.spad" 2238093 2238102 2254122 2254127) (-1301 "VIEW2D.spad" 2225992 2226001 2238083 2238088) (-1300 "VIEW.spad" 2223712 2223721 2225982 2225987) (-1299 "VECTOR2.spad" 2222351 2222364 2223702 2223707) (-1298 "VECTOR.spad" 2220851 2220862 2221102 2221129) (-1297 "VECTCAT.spad" 2218763 2218774 2220819 2220846) (-1296 "VECTCAT.spad" 2216482 2216495 2218540 2218545) (-1295 "VARIABLE.spad" 2216262 2216277 2216472 2216477) (-1294 "UTYPE.spad" 2215906 2215915 2216252 2216257) (-1293 "UTSODETL.spad" 2215201 2215225 2215862 2215867) (-1292 "UTSODE.spad" 2213417 2213437 2215191 2215196) (-1291 "UTSCAT.spad" 2210896 2210912 2213315 2213412) (-1290 "UTSCAT.spad" 2207995 2208013 2210416 2210421) (-1289 "UTS2.spad" 2207590 2207625 2207985 2207990) (-1288 "UTS.spad" 2202468 2202496 2205988 2206085) (-1287 "URAGG.spad" 2197189 2197200 2202458 2202463) (-1286 "URAGG.spad" 2191874 2191887 2197145 2197150) (-1285 "UPXSSING.spad" 2189492 2189518 2190928 2191061) (-1284 "UPXSCONS.spad" 2187170 2187190 2187543 2187692) (-1283 "UPXSCCA.spad" 2185741 2185761 2187016 2187165) (-1282 "UPXSCCA.spad" 2184454 2184476 2185731 2185736) (-1281 "UPXSCAT.spad" 2183043 2183059 2184300 2184449) (-1280 "UPXS2.spad" 2182586 2182639 2183033 2183038) (-1279 "UPXS.spad" 2179801 2179829 2180637 2180786) (-1278 "UPSQFREE.spad" 2178215 2178229 2179791 2179796) (-1277 "UPSCAT.spad" 2176010 2176034 2178113 2178210) (-1276 "UPSCAT.spad" 2173490 2173516 2175595 2175600) (-1275 "UPOLYC2.spad" 2172961 2172980 2173480 2173485) (-1274 "UPOLYC.spad" 2168041 2168052 2172803 2172956) (-1273 "UPOLYC.spad" 2163007 2163020 2167771 2167776) (-1272 "UPMP.spad" 2161939 2161952 2162997 2163002) (-1271 "UPDIVP.spad" 2161504 2161518 2161929 2161934) (-1270 "UPDECOMP.spad" 2159765 2159779 2161494 2161499) (-1269 "UPCDEN.spad" 2158982 2158998 2159755 2159760) (-1268 "UP2.spad" 2158346 2158367 2158972 2158977) (-1267 "UP.spad" 2155374 2155389 2155761 2155914) (-1266 "UNISEG2.spad" 2154871 2154884 2155330 2155335) (-1265 "UNISEG.spad" 2154224 2154235 2154790 2154795) (-1264 "UNIFACT.spad" 2153327 2153339 2154214 2154219) (-1263 "ULSCONS.spad" 2144239 2144259 2144609 2144758) (-1262 "ULSCCAT.spad" 2141976 2141996 2144085 2144234) (-1261 "ULSCCAT.spad" 2139821 2139843 2141932 2141937) (-1260 "ULSCAT.spad" 2138061 2138077 2139667 2139816) (-1259 "ULS2.spad" 2137575 2137628 2138051 2138056) (-1258 "ULS.spad" 2127146 2127174 2128091 2128520) (-1257 "UINT8.spad" 2127023 2127032 2127136 2127141) (-1256 "UINT64.spad" 2126899 2126908 2127013 2127018) (-1255 "UINT32.spad" 2126775 2126784 2126889 2126894) (-1254 "UINT16.spad" 2126651 2126660 2126765 2126770) (-1253 "UFD.spad" 2125716 2125725 2126577 2126646) (-1252 "UFD.spad" 2124843 2124854 2125706 2125711) (-1251 "UDVO.spad" 2123724 2123733 2124833 2124838) (-1250 "UDPO.spad" 2121305 2121316 2123680 2123685) (-1249 "TYPEAST.spad" 2121224 2121233 2121295 2121300) (-1248 "TYPE.spad" 2121156 2121165 2121214 2121219) (-1247 "TWOFACT.spad" 2119808 2119823 2121146 2121151) (-1246 "TUPLE.spad" 2119299 2119310 2119704 2119709) (-1245 "TUBETOOL.spad" 2116166 2116175 2119289 2119294) (-1244 "TUBE.spad" 2114813 2114830 2116156 2116161) (-1243 "TSETCAT.spad" 2102884 2102901 2114781 2114808) (-1242 "TSETCAT.spad" 2090941 2090960 2102840 2102845) (-1241 "TS.spad" 2089534 2089550 2090500 2090597) (-1240 "TRMANIP.spad" 2083898 2083915 2089222 2089227) (-1239 "TRIMAT.spad" 2082861 2082886 2083888 2083893) (-1238 "TRIGMNIP.spad" 2081388 2081405 2082851 2082856) (-1237 "TRIGCAT.spad" 2080900 2080909 2081378 2081383) (-1236 "TRIGCAT.spad" 2080410 2080421 2080890 2080895) (-1235 "TREE.spad" 2078856 2078867 2079888 2079915) (-1234 "TRANFUN.spad" 2078695 2078704 2078846 2078851) (-1233 "TRANFUN.spad" 2078532 2078543 2078685 2078690) (-1232 "TOPSP.spad" 2078206 2078215 2078522 2078527) (-1231 "TOOLSIGN.spad" 2077869 2077880 2078196 2078201) (-1230 "TEXTFILE.spad" 2076430 2076439 2077859 2077864) (-1229 "TEX1.spad" 2075986 2075997 2076420 2076425) (-1228 "TEX.spad" 2073180 2073189 2075976 2075981) (-1227 "TEMUTL.spad" 2072735 2072744 2073170 2073175) (-1226 "TBCMPPK.spad" 2070836 2070859 2072725 2072730) (-1225 "TBAGG.spad" 2069894 2069917 2070816 2070831) (-1224 "TBAGG.spad" 2068960 2068985 2069884 2069889) (-1223 "TANEXP.spad" 2068368 2068379 2068950 2068955) (-1222 "TALGOP.spad" 2068092 2068103 2068358 2068363) (-1221 "TABLEAU.spad" 2067573 2067584 2068082 2068087) (-1220 "TABLE.spad" 2065506 2065529 2065776 2065803) (-1219 "TABLBUMP.spad" 2062285 2062296 2065496 2065501) (-1218 "SYSTEM.spad" 2061513 2061522 2062275 2062280) (-1217 "SYSSOLP.spad" 2058996 2059007 2061503 2061508) (-1216 "SYSPTR.spad" 2058895 2058904 2058986 2058991) (-1215 "SYSNNI.spad" 2058118 2058129 2058885 2058890) (-1214 "SYSINT.spad" 2057522 2057533 2058108 2058113) (-1213 "SYNTAX.spad" 2053856 2053865 2057512 2057517) (-1212 "SYMTAB.spad" 2051924 2051933 2053846 2053851) (-1211 "SYMS.spad" 2047947 2047956 2051914 2051919) (-1210 "SYMPOLY.spad" 2046926 2046937 2047008 2047135) (-1209 "SYMFUNC.spad" 2046427 2046438 2046916 2046921) (-1208 "SYMBOL.spad" 2043922 2043931 2046417 2046422) (-1207 "SWITCH.spad" 2040693 2040702 2043912 2043917) (-1206 "SUTS.spad" 2037672 2037700 2039091 2039188) (-1205 "SUPXS.spad" 2034874 2034902 2035723 2035872) (-1204 "SUPFRACF.spad" 2033979 2033997 2034864 2034869) (-1203 "SUP2.spad" 2033371 2033384 2033969 2033974) (-1202 "SUP.spad" 2030013 2030024 2030786 2030939) (-1201 "SUMRF.spad" 2028987 2028998 2030003 2030008) (-1200 "SUMFS.spad" 2028616 2028633 2028977 2028982) (-1199 "SULS.spad" 2018174 2018202 2019132 2019561) (-1198 "SUCHTAST.spad" 2017943 2017952 2018164 2018169) (-1197 "SUCH.spad" 2017633 2017648 2017933 2017938) (-1196 "SUBSPACE.spad" 2009764 2009779 2017623 2017628) (-1195 "SUBRESP.spad" 2008934 2008948 2009720 2009725) (-1194 "STTFNC.spad" 2005402 2005418 2008924 2008929) (-1193 "STTF.spad" 2001501 2001517 2005392 2005397) (-1192 "STTAYLOR.spad" 1994146 1994157 2001376 2001381) (-1191 "STRTBL.spad" 1992161 1992178 1992310 1992337) (-1190 "STRING.spad" 1990927 1990936 1991148 1991175) (-1189 "STREAM3.spad" 1990500 1990515 1990917 1990922) (-1188 "STREAM2.spad" 1989628 1989641 1990490 1990495) (-1187 "STREAM1.spad" 1989334 1989345 1989618 1989623) (-1186 "STREAM.spad" 1986120 1986131 1988727 1988742) (-1185 "STINPROD.spad" 1985056 1985072 1986110 1986115) (-1184 "STEPAST.spad" 1984290 1984299 1985046 1985051) (-1183 "STEP.spad" 1983499 1983508 1984280 1984285) (-1182 "STBL.spad" 1981547 1981575 1981714 1981729) (-1181 "STAGG.spad" 1980622 1980633 1981537 1981542) (-1180 "STAGG.spad" 1979695 1979708 1980612 1980617) (-1179 "STACK.spad" 1978923 1978934 1979173 1979200) (-1178 "SRING.spad" 1978683 1978692 1978913 1978918) (-1177 "SREGSET.spad" 1976382 1976399 1978284 1978311) (-1176 "SRDCMPK.spad" 1974959 1974979 1976372 1976377) (-1175 "SRAGG.spad" 1970142 1970151 1974927 1974954) (-1174 "SRAGG.spad" 1965345 1965356 1970132 1970137) (-1173 "SQMATRIX.spad" 1962840 1962858 1963756 1963843) (-1172 "SPLTREE.spad" 1957306 1957319 1962102 1962129) (-1171 "SPLNODE.spad" 1953926 1953939 1957296 1957301) (-1170 "SPFCAT.spad" 1952735 1952744 1953916 1953921) (-1169 "SPECOUT.spad" 1951287 1951296 1952725 1952730) (-1168 "SPADXPT.spad" 1943378 1943387 1951277 1951282) (-1167 "spad-parser.spad" 1942843 1942852 1943368 1943373) (-1166 "SPADAST.spad" 1942544 1942553 1942833 1942838) (-1165 "SPACEC.spad" 1926759 1926770 1942534 1942539) (-1164 "SPACE3.spad" 1926535 1926546 1926749 1926754) (-1163 "SORTPAK.spad" 1926084 1926097 1926491 1926496) (-1162 "SOLVETRA.spad" 1923847 1923858 1926074 1926079) (-1161 "SOLVESER.spad" 1922303 1922314 1923837 1923842) (-1160 "SOLVERAD.spad" 1918329 1918340 1922293 1922298) (-1159 "SOLVEFOR.spad" 1916791 1916809 1918319 1918324) (-1158 "SNTSCAT.spad" 1916391 1916408 1916759 1916786) (-1157 "SMTS.spad" 1914673 1914699 1915950 1916047) (-1156 "SMP.spad" 1912076 1912096 1912466 1912593) (-1155 "SMITH.spad" 1910921 1910946 1912066 1912071) (-1154 "SMATCAT.spad" 1909039 1909069 1910865 1910916) (-1153 "SMATCAT.spad" 1907089 1907121 1908917 1908922) (-1152 "SKAGG.spad" 1906058 1906069 1907057 1907084) (-1151 "SINT.spad" 1904998 1905007 1905924 1906053) (-1150 "SIMPAN.spad" 1904726 1904735 1904988 1904993) (-1149 "SIGNRF.spad" 1903844 1903855 1904716 1904721) (-1148 "SIGNEF.spad" 1903123 1903140 1903834 1903839) (-1147 "SIGAST.spad" 1902540 1902549 1903113 1903118) (-1146 "SIG.spad" 1901902 1901911 1902530 1902535) (-1145 "SHP.spad" 1899846 1899861 1901858 1901863) (-1144 "SHDP.spad" 1887201 1887228 1887718 1887817) (-1143 "SGROUP.spad" 1886809 1886818 1887191 1887196) (-1142 "SGROUP.spad" 1886415 1886426 1886799 1886804) (-1141 "SGCF.spad" 1879554 1879563 1886405 1886410) (-1140 "SFRTCAT.spad" 1878500 1878517 1879522 1879549) (-1139 "SFRGCD.spad" 1877563 1877583 1878490 1878495) (-1138 "SFQCMPK.spad" 1872376 1872396 1877553 1877558) (-1137 "SFORT.spad" 1871815 1871829 1872366 1872371) (-1136 "SEXOF.spad" 1871658 1871698 1871805 1871810) (-1135 "SEXCAT.spad" 1869486 1869526 1871648 1871653) (-1134 "SEX.spad" 1869378 1869387 1869476 1869481) (-1133 "SETMN.spad" 1867836 1867853 1869368 1869373) (-1132 "SETCAT.spad" 1867321 1867330 1867826 1867831) (-1131 "SETCAT.spad" 1866804 1866815 1867311 1867316) (-1130 "SETAGG.spad" 1863353 1863364 1866784 1866799) (-1129 "SETAGG.spad" 1859910 1859923 1863343 1863348) (-1128 "SET.spad" 1858183 1858194 1859280 1859319) (-1127 "SEQAST.spad" 1857886 1857895 1858173 1858178) (-1126 "SEGXCAT.spad" 1857042 1857055 1857876 1857881) (-1125 "SEGCAT.spad" 1855967 1855978 1857032 1857037) (-1124 "SEGBIND2.spad" 1855665 1855678 1855957 1855962) (-1123 "SEGBIND.spad" 1855423 1855434 1855612 1855617) (-1122 "SEGAST.spad" 1855153 1855162 1855413 1855418) (-1121 "SEG2.spad" 1854588 1854601 1855109 1855114) (-1120 "SEG.spad" 1854401 1854412 1854507 1854512) (-1119 "SDVAR.spad" 1853677 1853688 1854391 1854396) (-1118 "SDPOL.spad" 1850932 1850943 1851223 1851350) (-1117 "SCPKG.spad" 1849021 1849032 1850922 1850927) (-1116 "SCOPE.spad" 1848198 1848207 1849011 1849016) (-1115 "SCACHE.spad" 1846894 1846905 1848188 1848193) (-1114 "SASTCAT.spad" 1846803 1846812 1846884 1846889) (-1113 "SAOS.spad" 1846675 1846684 1846793 1846798) (-1112 "SAERFFC.spad" 1846388 1846408 1846665 1846670) (-1111 "SAEFACT.spad" 1846089 1846109 1846378 1846383) (-1110 "SAE.spad" 1843523 1843539 1844134 1844269) (-1109 "RURPK.spad" 1841182 1841198 1843513 1843518) (-1108 "RULESET.spad" 1840635 1840659 1841172 1841177) (-1107 "RULECOLD.spad" 1840487 1840500 1840625 1840630) (-1106 "RULE.spad" 1838735 1838759 1840477 1840482) (-1105 "RTVALUE.spad" 1838470 1838479 1838725 1838730) (-1104 "RSTRCAST.spad" 1838187 1838196 1838460 1838465) (-1103 "RSETGCD.spad" 1834629 1834649 1838177 1838182) (-1102 "RSETCAT.spad" 1824597 1824614 1834597 1834624) (-1101 "RSETCAT.spad" 1814585 1814604 1824587 1824592) (-1100 "RSDCMPK.spad" 1813085 1813105 1814575 1814580) (-1099 "RRCC.spad" 1811469 1811499 1813075 1813080) (-1098 "RRCC.spad" 1809851 1809883 1811459 1811464) (-1097 "RPTAST.spad" 1809553 1809562 1809841 1809846) (-1096 "RPOLCAT.spad" 1789057 1789072 1809421 1809548) (-1095 "RPOLCAT.spad" 1768256 1768273 1788622 1788627) (-1094 "ROUTINE.spad" 1763657 1763666 1766405 1766432) (-1093 "ROMAN.spad" 1762985 1762994 1763523 1763652) (-1092 "ROIRC.spad" 1762065 1762097 1762975 1762980) (-1091 "RNS.spad" 1760968 1760977 1761967 1762060) (-1090 "RNS.spad" 1759957 1759968 1760958 1760963) (-1089 "RNGBIND.spad" 1759117 1759131 1759912 1759917) (-1088 "RNG.spad" 1758852 1758861 1759107 1759112) (-1087 "RMODULE.spad" 1758633 1758644 1758842 1758847) (-1086 "RMCAT2.spad" 1758053 1758110 1758623 1758628) (-1085 "RMATRIX.spad" 1756823 1756842 1757166 1757205) (-1084 "RMATCAT.spad" 1752402 1752433 1756779 1756818) (-1083 "RMATCAT.spad" 1747871 1747904 1752250 1752255) (-1082 "RLINSET.spad" 1747575 1747586 1747861 1747866) (-1081 "RINTERP.spad" 1747463 1747483 1747565 1747570) (-1080 "RING.spad" 1746933 1746942 1747443 1747458) (-1079 "RING.spad" 1746411 1746422 1746923 1746928) (-1078 "RIDIST.spad" 1745803 1745812 1746401 1746406) (-1077 "RGCHAIN.spad" 1744324 1744340 1745218 1745245) (-1076 "RGBCSPC.spad" 1744113 1744125 1744314 1744319) (-1075 "RGBCMDL.spad" 1743675 1743687 1744103 1744108) (-1074 "RFFACTOR.spad" 1743137 1743148 1743665 1743670) (-1073 "RFFACT.spad" 1742872 1742884 1743127 1743132) (-1072 "RFDIST.spad" 1741868 1741877 1742862 1742867) (-1071 "RF.spad" 1739542 1739553 1741858 1741863) (-1070 "RETSOL.spad" 1738961 1738974 1739532 1739537) (-1069 "RETRACT.spad" 1738389 1738400 1738951 1738956) (-1068 "RETRACT.spad" 1737815 1737828 1738379 1738384) (-1067 "RETAST.spad" 1737627 1737636 1737805 1737810) (-1066 "RESULT.spad" 1735189 1735198 1735776 1735803) (-1065 "RESRING.spad" 1734536 1734583 1735127 1735184) (-1064 "RESLATC.spad" 1733860 1733871 1734526 1734531) (-1063 "REPSQ.spad" 1733591 1733602 1733850 1733855) (-1062 "REPDB.spad" 1733298 1733309 1733581 1733586) (-1061 "REP2.spad" 1723012 1723023 1733140 1733145) (-1060 "REP1.spad" 1717232 1717243 1722962 1722967) (-1059 "REP.spad" 1714786 1714795 1717222 1717227) (-1058 "REGSET.spad" 1712578 1712595 1714387 1714414) (-1057 "REF.spad" 1711913 1711924 1712533 1712538) (-1056 "REDORDER.spad" 1711119 1711136 1711903 1711908) (-1055 "RECLOS.spad" 1709878 1709898 1710582 1710675) (-1054 "REALSOLV.spad" 1709018 1709027 1709868 1709873) (-1053 "REAL0Q.spad" 1706316 1706331 1709008 1709013) (-1052 "REAL0.spad" 1703160 1703175 1706306 1706311) (-1051 "REAL.spad" 1703032 1703041 1703150 1703155) (-1050 "RDUCEAST.spad" 1702753 1702762 1703022 1703027) (-1049 "RDIV.spad" 1702408 1702433 1702743 1702748) (-1048 "RDIST.spad" 1701975 1701986 1702398 1702403) (-1047 "RDETRS.spad" 1700839 1700857 1701965 1701970) (-1046 "RDETR.spad" 1698978 1698996 1700829 1700834) (-1045 "RDEEFS.spad" 1698077 1698094 1698968 1698973) (-1044 "RDEEF.spad" 1697087 1697104 1698067 1698072) (-1043 "RCFIELD.spad" 1694305 1694314 1696989 1697082) (-1042 "RCFIELD.spad" 1691609 1691620 1694295 1694300) (-1041 "RCAGG.spad" 1689545 1689556 1691599 1691604) (-1040 "RCAGG.spad" 1687408 1687421 1689464 1689469) (-1039 "RATRET.spad" 1686768 1686779 1687398 1687403) (-1038 "RATFACT.spad" 1686460 1686472 1686758 1686763) (-1037 "RANDSRC.spad" 1685779 1685788 1686450 1686455) (-1036 "RADUTIL.spad" 1685535 1685544 1685769 1685774) (-1035 "RADIX.spad" 1682314 1682328 1683860 1683953) (-1034 "RADFF.spad" 1680017 1680054 1680136 1680292) (-1033 "RADCAT.spad" 1679612 1679621 1680007 1680012) (-1032 "RADCAT.spad" 1679205 1679216 1679602 1679607) (-1031 "QUEUE.spad" 1678424 1678435 1678683 1678710) (-1030 "QUATCT2.spad" 1678044 1678063 1678414 1678419) (-1029 "QUATCAT.spad" 1676214 1676225 1677974 1678039) (-1028 "QUATCAT.spad" 1674132 1674145 1675894 1675899) (-1027 "QUAT.spad" 1672584 1672595 1672927 1672992) (-1026 "QUAGG.spad" 1671417 1671428 1672552 1672579) (-1025 "QQUTAST.spad" 1671185 1671194 1671407 1671412) (-1024 "QFORM.spad" 1670803 1670818 1671175 1671180) (-1023 "QFCAT2.spad" 1670495 1670512 1670793 1670798) (-1022 "QFCAT.spad" 1669197 1669208 1670397 1670490) (-1021 "QFCAT.spad" 1667481 1667494 1668683 1668688) (-1020 "QEQUAT.spad" 1667039 1667048 1667471 1667476) (-1019 "QCMPACK.spad" 1661953 1661973 1667029 1667034) (-1018 "QALGSET2.spad" 1659948 1659967 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122793 122798) (-112 "BOOLE.spad" 122101 122111 122443 122448) (-111 "BMODULE.spad" 121813 121825 122069 122096) (-110 "BITS.spad" 121187 121195 121402 121429) (-109 "BINDING.spad" 120608 120616 121177 121182) (-108 "BINARY.spad" 118577 118585 118933 119026) (-107 "BGAGG.spad" 117782 117792 118557 118572) (-106 "BGAGG.spad" 116995 117007 117772 117777) (-105 "BFUNCT.spad" 116559 116567 116975 116990) (-104 "BEZOUT.spad" 115699 115726 116509 116514) (-103 "BBTREE.spad" 112447 112457 115177 115204) (-102 "BASTYPE.spad" 111946 111954 112437 112442) (-101 "BASTYPE.spad" 111443 111453 111936 111941) (-100 "BALFACT.spad" 110902 110915 111433 111438) (-99 "AUTOMOR.spad" 110353 110362 110882 110897) (-98 "ATTREG.spad" 107076 107083 110105 110348) (-97 "ATTRBUT.spad" 103099 103106 107056 107071) (-96 "ATTRAST.spad" 102816 102823 103089 103094) (-95 "ATRIG.spad" 102286 102293 102806 102811) (-94 "ATRIG.spad" 101754 101763 102276 102281) (-93 "ASTCAT.spad" 101658 101665 101744 101749) (-92 "ASTCAT.spad" 101560 101569 101648 101653) (-91 "ASTACK.spad" 100770 100779 101038 101065) (-90 "ASSOCEQ.spad" 99604 99615 100726 100731) (-89 "ASP9.spad" 98685 98698 99594 99599) (-88 "ASP80.spad" 98007 98020 98675 98680) (-87 "ASP8.spad" 97050 97063 97997 98002) (-86 "ASP78.spad" 96501 96514 97040 97045) (-85 "ASP77.spad" 95870 95883 96491 96496) (-84 "ASP74.spad" 94962 94975 95860 95865) (-83 "ASP73.spad" 94233 94246 94952 94957) (-82 "ASP7.spad" 93393 93406 94223 94228) (-81 "ASP6.spad" 92260 92273 93383 93388) (-80 "ASP55.spad" 90769 90782 92250 92255) (-79 "ASP50.spad" 88586 88599 90759 90764) (-78 "ASP49.spad" 87585 87598 88576 88581) (-77 "ASP42.spad" 86000 86039 87575 87580) (-76 "ASP41.spad" 84587 84626 85990 85995) (-75 "ASP4.spad" 83882 83895 84577 84582) (-74 "ASP35.spad" 82870 82883 83872 83877) (-73 "ASP34.spad" 82171 82184 82860 82865) (-72 "ASP33.spad" 81731 81744 82161 82166) (-71 "ASP31.spad" 80871 80884 81721 81726) (-70 "ASP30.spad" 79763 79776 80861 80866) (-69 "ASP29.spad" 79229 79242 79753 79758) (-68 "ASP28.spad" 70502 70515 79219 79224) (-67 "ASP27.spad" 69399 69412 70492 70497) (-66 "ASP24.spad" 68486 68499 69389 69394) (-65 "ASP20.spad" 67950 67963 68476 68481) (-64 "ASP19.spad" 62636 62649 67940 67945) (-63 "ASP12.spad" 62050 62063 62626 62631) (-62 "ASP10.spad" 61321 61334 62040 62045) (-61 "ASP1.spad" 60702 60715 61311 61316) (-60 "ARRAY2.spad" 59941 59950 60180 60207) (-59 "ARRAY12.spad" 58654 58665 59931 59936) (-58 "ARRAY1.spad" 57317 57326 57663 57690) (-57 "ARR2CAT.spad" 53099 53120 57285 57312) (-56 "ARR2CAT.spad" 48901 48924 53089 53094) (-55 "ARITY.spad" 48273 48280 48891 48896) (-54 "APPRULE.spad" 47557 47579 48263 48268) (-53 "APPLYORE.spad" 47176 47189 47547 47552) (-52 "ANY1.spad" 46247 46256 47166 47171) (-51 "ANY.spad" 45098 45105 46237 46242) (-50 "ANTISYM.spad" 43543 43559 45078 45093) (-49 "ANON.spad" 43252 43259 43533 43538) (-48 "AN.spad" 41558 41565 43065 43158) (-47 "AMR.spad" 39743 39754 41456 41553) (-46 "AMR.spad" 37759 37772 39474 39479) (-45 "ALIST.spad" 34599 34620 34949 34976) (-44 "ALGSC.spad" 33734 33760 34471 34524) (-43 "ALGPKG.spad" 29517 29528 33690 33695) (-42 "ALGMFACT.spad" 28710 28724 29507 29512) (-41 "ALGMANIP.spad" 26194 26209 28537 28542) (-40 "ALGFF.spad" 23799 23826 24016 24172) (-39 "ALGFACT.spad" 22918 22928 23789 23794) (-38 "ALGEBRA.spad" 22751 22760 22874 22913) (-37 "ALGEBRA.spad" 22616 22627 22741 22746) (-36 "ALAGG.spad" 22128 22149 22584 22611) (-35 "AHYP.spad" 21509 21516 22118 22123) (-34 "AGG.spad" 19842 19849 21499 21504) (-33 "AGG.spad" 18139 18148 19798 19803) (-32 "AF.spad" 16567 16582 18071 18076) (-31 "ADDAST.spad" 16253 16260 16557 16562) (-30 "ACPLOT.spad" 14844 14851 16243 16248) (-29 "ACFS.spad" 12701 12710 14746 14839) (-28 "ACFS.spad" 10644 10655 12691 12696) (-27 "ACF.spad" 7398 7405 10546 10639) (-26 "ACF.spad" 4238 4247 7388 7393) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2294594 2294599 2294604 2294609) (-2 NIL 2294574 2294579 2294584 2294589) (-1 NIL 2294554 2294559 2294564 2294569) (0 NIL 2294534 2294539 2294544 2294549) (-1328 "ZMOD.spad" 2294343 2294356 2294472 2294529) (-1327 "ZLINDEP.spad" 2293441 2293452 2294333 2294338) (-1326 "ZDSOLVE.spad" 2283401 2283423 2293431 2293436) (-1325 "YSTREAM.spad" 2282896 2282907 2283391 2283396) (-1324 "YDIAGRAM.spad" 2282530 2282539 2282886 2282891) (-1323 "XRPOLY.spad" 2281750 2281770 2282386 2282455) (-1322 "XPR.spad" 2279545 2279558 2281468 2281567) (-1321 "XPOLYC.spad" 2278864 2278880 2279471 2279540) (-1320 "XPOLY.spad" 2278419 2278430 2278720 2278789) (-1319 "XPBWPOLY.spad" 2276858 2276878 2278193 2278262) (-1318 "XFALG.spad" 2273906 2273922 2276784 2276853) (-1317 "XF.spad" 2272369 2272384 2273808 2273901) (-1316 "XF.spad" 2270812 2270829 2272253 2272258) (-1315 "XEXPPKG.spad" 2270071 2270097 2270802 2270807) (-1314 "XDPOLY.spad" 2269685 2269701 2269927 2269996) (-1313 "XALG.spad" 2269353 2269364 2269641 2269680) (-1312 "WUTSET.spad" 2265323 2265340 2268954 2268981) (-1311 "WP.spad" 2264530 2264574 2265181 2265248) (-1310 "WHILEAST.spad" 2264328 2264337 2264520 2264525) (-1309 "WHEREAST.spad" 2263999 2264008 2264318 2264323) (-1308 "WFFINTBS.spad" 2261662 2261684 2263989 2263994) (-1307 "WEIER.spad" 2259884 2259895 2261652 2261657) (-1306 "VSPACE.spad" 2259557 2259568 2259852 2259879) (-1305 "VSPACE.spad" 2259250 2259263 2259547 2259552) (-1304 "VOID.spad" 2258927 2258936 2259240 2259245) (-1303 "VIEWDEF.spad" 2254128 2254137 2258917 2258922) (-1302 "VIEW3D.spad" 2238089 2238098 2254118 2254123) (-1301 "VIEW2D.spad" 2225988 2225997 2238079 2238084) (-1300 "VIEW.spad" 2223708 2223717 2225978 2225983) (-1299 "VECTOR2.spad" 2222347 2222360 2223698 2223703) (-1298 "VECTOR.spad" 2220847 2220858 2221098 2221125) (-1297 "VECTCAT.spad" 2218759 2218770 2220815 2220842) (-1296 "VECTCAT.spad" 2216478 2216491 2218536 2218541) (-1295 "VARIABLE.spad" 2216258 2216273 2216468 2216473) (-1294 "UTYPE.spad" 2215902 2215911 2216248 2216253) (-1293 "UTSODETL.spad" 2215197 2215221 2215858 2215863) (-1292 "UTSODE.spad" 2213413 2213433 2215187 2215192) (-1291 "UTSCAT.spad" 2210892 2210908 2213311 2213408) (-1290 "UTSCAT.spad" 2207991 2208009 2210412 2210417) (-1289 "UTS2.spad" 2207586 2207621 2207981 2207986) (-1288 "UTS.spad" 2202464 2202492 2205984 2206081) (-1287 "URAGG.spad" 2197185 2197196 2202454 2202459) (-1286 "URAGG.spad" 2191870 2191883 2197141 2197146) (-1285 "UPXSSING.spad" 2189488 2189514 2190924 2191057) (-1284 "UPXSCONS.spad" 2187166 2187186 2187539 2187688) (-1283 "UPXSCCA.spad" 2185737 2185757 2187012 2187161) (-1282 "UPXSCCA.spad" 2184450 2184472 2185727 2185732) (-1281 "UPXSCAT.spad" 2183039 2183055 2184296 2184445) (-1280 "UPXS2.spad" 2182582 2182635 2183029 2183034) (-1279 "UPXS.spad" 2179797 2179825 2180633 2180782) (-1278 "UPSQFREE.spad" 2178211 2178225 2179787 2179792) (-1277 "UPSCAT.spad" 2176006 2176030 2178109 2178206) (-1276 "UPSCAT.spad" 2173486 2173512 2175591 2175596) (-1275 "UPOLYC2.spad" 2172957 2172976 2173476 2173481) (-1274 "UPOLYC.spad" 2168037 2168048 2172799 2172952) (-1273 "UPOLYC.spad" 2163003 2163016 2167767 2167772) (-1272 "UPMP.spad" 2161935 2161948 2162993 2162998) (-1271 "UPDIVP.spad" 2161500 2161514 2161925 2161930) (-1270 "UPDECOMP.spad" 2159761 2159775 2161490 2161495) (-1269 "UPCDEN.spad" 2158978 2158994 2159751 2159756) (-1268 "UP2.spad" 2158342 2158363 2158968 2158973) (-1267 "UP.spad" 2155370 2155385 2155757 2155910) (-1266 "UNISEG2.spad" 2154867 2154880 2155326 2155331) (-1265 "UNISEG.spad" 2154220 2154231 2154786 2154791) (-1264 "UNIFACT.spad" 2153323 2153335 2154210 2154215) (-1263 "ULSCONS.spad" 2144235 2144255 2144605 2144754) (-1262 "ULSCCAT.spad" 2141972 2141992 2144081 2144230) (-1261 "ULSCCAT.spad" 2139817 2139839 2141928 2141933) (-1260 "ULSCAT.spad" 2138057 2138073 2139663 2139812) (-1259 "ULS2.spad" 2137571 2137624 2138047 2138052) (-1258 "ULS.spad" 2127142 2127170 2128087 2128516) (-1257 "UINT8.spad" 2127019 2127028 2127132 2127137) (-1256 "UINT64.spad" 2126895 2126904 2127009 2127014) (-1255 "UINT32.spad" 2126771 2126780 2126885 2126890) (-1254 "UINT16.spad" 2126647 2126656 2126761 2126766) (-1253 "UFD.spad" 2125712 2125721 2126573 2126642) (-1252 "UFD.spad" 2124839 2124850 2125702 2125707) (-1251 "UDVO.spad" 2123720 2123729 2124829 2124834) (-1250 "UDPO.spad" 2121301 2121312 2123676 2123681) (-1249 "TYPEAST.spad" 2121220 2121229 2121291 2121296) (-1248 "TYPE.spad" 2121152 2121161 2121210 2121215) (-1247 "TWOFACT.spad" 2119804 2119819 2121142 2121147) (-1246 "TUPLE.spad" 2119295 2119306 2119700 2119705) (-1245 "TUBETOOL.spad" 2116162 2116171 2119285 2119290) (-1244 "TUBE.spad" 2114809 2114826 2116152 2116157) (-1243 "TSETCAT.spad" 2102880 2102897 2114777 2114804) (-1242 "TSETCAT.spad" 2090937 2090956 2102836 2102841) (-1241 "TS.spad" 2089530 2089546 2090496 2090593) (-1240 "TRMANIP.spad" 2083894 2083911 2089218 2089223) (-1239 "TRIMAT.spad" 2082857 2082882 2083884 2083889) (-1238 "TRIGMNIP.spad" 2081384 2081401 2082847 2082852) (-1237 "TRIGCAT.spad" 2080896 2080905 2081374 2081379) (-1236 "TRIGCAT.spad" 2080406 2080417 2080886 2080891) (-1235 "TREE.spad" 2078852 2078863 2079884 2079911) (-1234 "TRANFUN.spad" 2078691 2078700 2078842 2078847) (-1233 "TRANFUN.spad" 2078528 2078539 2078681 2078686) (-1232 "TOPSP.spad" 2078202 2078211 2078518 2078523) (-1231 "TOOLSIGN.spad" 2077865 2077876 2078192 2078197) (-1230 "TEXTFILE.spad" 2076426 2076435 2077855 2077860) (-1229 "TEX1.spad" 2075982 2075993 2076416 2076421) (-1228 "TEX.spad" 2073176 2073185 2075972 2075977) (-1227 "TEMUTL.spad" 2072731 2072740 2073166 2073171) (-1226 "TBCMPPK.spad" 2070832 2070855 2072721 2072726) (-1225 "TBAGG.spad" 2069890 2069913 2070812 2070827) (-1224 "TBAGG.spad" 2068956 2068981 2069880 2069885) (-1223 "TANEXP.spad" 2068364 2068375 2068946 2068951) (-1222 "TALGOP.spad" 2068088 2068099 2068354 2068359) (-1221 "TABLEAU.spad" 2067569 2067580 2068078 2068083) (-1220 "TABLE.spad" 2065502 2065525 2065772 2065799) (-1219 "TABLBUMP.spad" 2062281 2062292 2065492 2065497) (-1218 "SYSTEM.spad" 2061509 2061518 2062271 2062276) (-1217 "SYSSOLP.spad" 2058992 2059003 2061499 2061504) (-1216 "SYSPTR.spad" 2058891 2058900 2058982 2058987) (-1215 "SYSNNI.spad" 2058114 2058125 2058881 2058886) (-1214 "SYSINT.spad" 2057518 2057529 2058104 2058109) (-1213 "SYNTAX.spad" 2053852 2053861 2057508 2057513) (-1212 "SYMTAB.spad" 2051920 2051929 2053842 2053847) (-1211 "SYMS.spad" 2047943 2047952 2051910 2051915) (-1210 "SYMPOLY.spad" 2046922 2046933 2047004 2047131) (-1209 "SYMFUNC.spad" 2046423 2046434 2046912 2046917) (-1208 "SYMBOL.spad" 2043918 2043927 2046413 2046418) (-1207 "SWITCH.spad" 2040689 2040698 2043908 2043913) (-1206 "SUTS.spad" 2037668 2037696 2039087 2039184) (-1205 "SUPXS.spad" 2034870 2034898 2035719 2035868) (-1204 "SUPFRACF.spad" 2033975 2033993 2034860 2034865) (-1203 "SUP2.spad" 2033367 2033380 2033965 2033970) (-1202 "SUP.spad" 2030009 2030020 2030782 2030935) (-1201 "SUMRF.spad" 2028983 2028994 2029999 2030004) (-1200 "SUMFS.spad" 2028612 2028629 2028973 2028978) (-1199 "SULS.spad" 2018170 2018198 2019128 2019557) (-1198 "SUCHTAST.spad" 2017939 2017948 2018160 2018165) (-1197 "SUCH.spad" 2017629 2017644 2017929 2017934) (-1196 "SUBSPACE.spad" 2009760 2009775 2017619 2017624) (-1195 "SUBRESP.spad" 2008930 2008944 2009716 2009721) (-1194 "STTFNC.spad" 2005398 2005414 2008920 2008925) (-1193 "STTF.spad" 2001497 2001513 2005388 2005393) (-1192 "STTAYLOR.spad" 1994142 1994153 2001372 2001377) (-1191 "STRTBL.spad" 1992157 1992174 1992306 1992333) (-1190 "STRING.spad" 1990923 1990932 1991144 1991171) (-1189 "STREAM3.spad" 1990496 1990511 1990913 1990918) (-1188 "STREAM2.spad" 1989624 1989637 1990486 1990491) (-1187 "STREAM1.spad" 1989330 1989341 1989614 1989619) (-1186 "STREAM.spad" 1986116 1986127 1988723 1988738) (-1185 "STINPROD.spad" 1985052 1985068 1986106 1986111) (-1184 "STEPAST.spad" 1984286 1984295 1985042 1985047) (-1183 "STEP.spad" 1983495 1983504 1984276 1984281) (-1182 "STBL.spad" 1981543 1981571 1981710 1981725) (-1181 "STAGG.spad" 1980618 1980629 1981533 1981538) (-1180 "STAGG.spad" 1979691 1979704 1980608 1980613) (-1179 "STACK.spad" 1978919 1978930 1979169 1979196) (-1178 "SRING.spad" 1978679 1978688 1978909 1978914) (-1177 "SREGSET.spad" 1976378 1976395 1978280 1978307) (-1176 "SRDCMPK.spad" 1974955 1974975 1976368 1976373) (-1175 "SRAGG.spad" 1970138 1970147 1974923 1974950) (-1174 "SRAGG.spad" 1965341 1965352 1970128 1970133) (-1173 "SQMATRIX.spad" 1962836 1962854 1963752 1963839) (-1172 "SPLTREE.spad" 1957302 1957315 1962098 1962125) (-1171 "SPLNODE.spad" 1953922 1953935 1957292 1957297) (-1170 "SPFCAT.spad" 1952731 1952740 1953912 1953917) (-1169 "SPECOUT.spad" 1951283 1951292 1952721 1952726) (-1168 "SPADXPT.spad" 1943374 1943383 1951273 1951278) (-1167 "spad-parser.spad" 1942839 1942848 1943364 1943369) (-1166 "SPADAST.spad" 1942540 1942549 1942829 1942834) (-1165 "SPACEC.spad" 1926755 1926766 1942530 1942535) (-1164 "SPACE3.spad" 1926531 1926542 1926745 1926750) (-1163 "SORTPAK.spad" 1926080 1926093 1926487 1926492) (-1162 "SOLVETRA.spad" 1923843 1923854 1926070 1926075) (-1161 "SOLVESER.spad" 1922299 1922310 1923833 1923838) (-1160 "SOLVERAD.spad" 1918325 1918336 1922289 1922294) (-1159 "SOLVEFOR.spad" 1916787 1916805 1918315 1918320) (-1158 "SNTSCAT.spad" 1916387 1916404 1916755 1916782) (-1157 "SMTS.spad" 1914669 1914695 1915946 1916043) (-1156 "SMP.spad" 1912072 1912092 1912462 1912589) (-1155 "SMITH.spad" 1910917 1910942 1912062 1912067) (-1154 "SMATCAT.spad" 1909035 1909065 1910861 1910912) (-1153 "SMATCAT.spad" 1907085 1907117 1908913 1908918) (-1152 "SKAGG.spad" 1906054 1906065 1907053 1907080) (-1151 "SINT.spad" 1904994 1905003 1905920 1906049) (-1150 "SIMPAN.spad" 1904722 1904731 1904984 1904989) (-1149 "SIGNRF.spad" 1903840 1903851 1904712 1904717) (-1148 "SIGNEF.spad" 1903119 1903136 1903830 1903835) (-1147 "SIGAST.spad" 1902536 1902545 1903109 1903114) (-1146 "SIG.spad" 1901898 1901907 1902526 1902531) (-1145 "SHP.spad" 1899842 1899857 1901854 1901859) (-1144 "SHDP.spad" 1887197 1887224 1887714 1887813) (-1143 "SGROUP.spad" 1886805 1886814 1887187 1887192) (-1142 "SGROUP.spad" 1886411 1886422 1886795 1886800) (-1141 "SGCF.spad" 1879550 1879559 1886401 1886406) (-1140 "SFRTCAT.spad" 1878496 1878513 1879518 1879545) (-1139 "SFRGCD.spad" 1877559 1877579 1878486 1878491) (-1138 "SFQCMPK.spad" 1872372 1872392 1877549 1877554) (-1137 "SFORT.spad" 1871811 1871825 1872362 1872367) (-1136 "SEXOF.spad" 1871654 1871694 1871801 1871806) (-1135 "SEXCAT.spad" 1869482 1869522 1871644 1871649) (-1134 "SEX.spad" 1869374 1869383 1869472 1869477) (-1133 "SETMN.spad" 1867832 1867849 1869364 1869369) (-1132 "SETCAT.spad" 1867317 1867326 1867822 1867827) (-1131 "SETCAT.spad" 1866800 1866811 1867307 1867312) (-1130 "SETAGG.spad" 1863349 1863360 1866780 1866795) (-1129 "SETAGG.spad" 1859906 1859919 1863339 1863344) (-1128 "SET.spad" 1858179 1858190 1859276 1859315) (-1127 "SEQAST.spad" 1857882 1857891 1858169 1858174) (-1126 "SEGXCAT.spad" 1857038 1857051 1857872 1857877) (-1125 "SEGCAT.spad" 1855963 1855974 1857028 1857033) (-1124 "SEGBIND2.spad" 1855661 1855674 1855953 1855958) (-1123 "SEGBIND.spad" 1855419 1855430 1855608 1855613) (-1122 "SEGAST.spad" 1855149 1855158 1855409 1855414) (-1121 "SEG2.spad" 1854584 1854597 1855105 1855110) (-1120 "SEG.spad" 1854397 1854408 1854503 1854508) (-1119 "SDVAR.spad" 1853673 1853684 1854387 1854392) (-1118 "SDPOL.spad" 1850928 1850939 1851219 1851346) (-1117 "SCPKG.spad" 1849017 1849028 1850918 1850923) (-1116 "SCOPE.spad" 1848194 1848203 1849007 1849012) (-1115 "SCACHE.spad" 1846890 1846901 1848184 1848189) (-1114 "SASTCAT.spad" 1846799 1846808 1846880 1846885) (-1113 "SAOS.spad" 1846671 1846680 1846789 1846794) (-1112 "SAERFFC.spad" 1846384 1846404 1846661 1846666) (-1111 "SAEFACT.spad" 1846085 1846105 1846374 1846379) (-1110 "SAE.spad" 1843519 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(-1091 "RNS.spad" 1760964 1760973 1761963 1762056) (-1090 "RNS.spad" 1759953 1759964 1760954 1760959) (-1089 "RNGBIND.spad" 1759113 1759127 1759908 1759913) (-1088 "RNG.spad" 1758848 1758857 1759103 1759108) (-1087 "RMODULE.spad" 1758629 1758640 1758838 1758843) (-1086 "RMCAT2.spad" 1758049 1758106 1758619 1758624) (-1085 "RMATRIX.spad" 1756819 1756838 1757162 1757201) (-1084 "RMATCAT.spad" 1752398 1752429 1756775 1756814) (-1083 "RMATCAT.spad" 1747867 1747900 1752246 1752251) (-1082 "RLINSET.spad" 1747571 1747582 1747857 1747862) (-1081 "RINTERP.spad" 1747459 1747479 1747561 1747566) (-1080 "RING.spad" 1746929 1746938 1747439 1747454) (-1079 "RING.spad" 1746407 1746418 1746919 1746924) (-1078 "RIDIST.spad" 1745799 1745808 1746397 1746402) (-1077 "RGCHAIN.spad" 1744320 1744336 1745214 1745241) (-1076 "RGBCSPC.spad" 1744109 1744121 1744310 1744315) (-1075 "RGBCMDL.spad" 1743671 1743683 1744099 1744104) (-1074 "RFFACTOR.spad" 1743133 1743144 1743661 1743666) (-1073 "RFFACT.spad" 1742868 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T)) ((((-421 (-560))) . T) (($) . T)) @@ -228,7 +228,7 @@ (((|#1|) . T)) (|has| |#2| (-376)) ((((-1265 (-560)) $) . T) (((-560) |#1|) . T)) -((($) -2215 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) +((($) -2217 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) ((($) . T) (((-560)) . T) (((-421 (-560))) . T)) (((|#1| |#2|) . T)) ((((-887)) . T)) @@ -241,13 +241,13 @@ ((((-887)) . T)) ((((-887)) . T)) (((|#1| |#1|) . T)) -(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . T) (($ $) -2215 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939)))) -((($ $) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560))))) +(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . 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T)) @@ -349,15 +349,15 @@ (|has| |#1| (-1132)) ((((-935 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) (((|#1|) . T)) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-871)) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-871)) (|has| |#1| (-1132)))) ((((-549)) |has| |#1| (-633 (-549)))) ((((-887)) . T) (((-1213)) . T)) -((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) +((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) ((((-1213)) . 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T)) (((|#1| (-1002)) . T)) ((((-560)) . T) ((|#2|) . T)) @@ -369,7 +369,7 @@ (((|#1|) . T)) (((|#2| |#2|) . T)) (|has| |#1| (-1183)) -((((-2 (|:| -3829 (-1190)) (|:| -2710 |#1|))) . T)) +((((-2 (|:| -3830 (-1190)) (|:| -2715 |#1|))) . T)) (|has| (-1285 |#1| |#2| |#3| |#4|) (-147)) (|has| (-1285 |#1| |#2| |#3| |#4|) (-149)) (|has| |#1| (-147)) @@ -381,28 +381,28 @@ (((|#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) -((((-1156 |#1| (-1208))) . T) (((-560)) . T) (((-840 (-1208))) . T) (($) -2215 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) . T) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1069 (-421 (-560))))) (((-1208)) . T)) +((((-1156 |#1| (-1208))) . T) (((-560)) . T) (((-840 (-1208))) . T) (($) -2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) . T) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1069 (-421 (-560))))) (((-1208)) . 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T)) -((($) -2215 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) -2217 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) ((((-887)) . T)) ((((-887)) . T)) (|has| (-1279 |#2| |#3| |#4|) (-149)) @@ -415,18 +415,18 @@ (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-2215 (|has| |#1| (-21)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080))) +(-2217 (|has| |#1| (-21)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080))) (((|#1|) . T)) ((($) . T)) ((((-560) |#1|) . T)) (((|#2|) |has| |#2| (-175))) (((|#1|) . T)) (((|#1|) |has| |#1| (-175))) -(-2215 (|has| |#1| (-21)) (|has| |#1| (-870))) +(-2217 (|has| |#1| (-21)) (|has| |#1| (-870))) ((((-887)) |has| |#1| (-1132))) -((($) -2215 (|has| |#1| (-240)) (|has| |#1| (-239)))) -(-2215 (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)) (|has| |#1| (-1143))) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-363))) +((($) -2217 (|has| |#1| (-240)) (|has| |#1| (-239)))) +(-2217 (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)) (|has| |#1| (-1143))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-363))) ((((-935 |#1|)) . T)) ((((-421 |#2|) |#3|) . T)) (|has| |#1| (-15 * (|#1| (-560) |#1|))) @@ -437,7 +437,7 @@ ((((-887)) . T)) ((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571))) (|has| |#1| (-376)) -(-2215 (-12 (|has| (-1288 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) +(-2217 (-12 (|has| (-1288 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-376)) (|has| |#1| (-15 * (|#1| (-793) |#1|))) @@ -451,23 +451,23 @@ ((((-1265 (-560)) $) . T) (((-560) |#1|) . T)) ((((-887)) . T)) (((|#2|) . T)) -(-2215 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) +(-2217 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) ((((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571))) ((($) |has| |#1| (-571)) (((-560)) . T)) (|has| |#2| (-815)) (|has| |#2| (-815)) -((((-1288 |#1| |#2| |#3|)) . 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T)) @@ -840,8 +840,8 @@ (|has| |#3| (-1080)) (|has| |#3| (-815)) (|has| |#3| (-815)) -((((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2215 (|has| |#1| (-376)) (|has| |#1| (-571))) ((|#2|) |has| |#1| (-376)) ((|#1|) |has| |#1| (-175))) -(((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2215 (|has| |#1| (-376)) (|has| |#1| (-571)))) +((((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2217 (|has| |#1| (-376)) (|has| |#1| (-571))) ((|#2|) |has| |#1| (-376)) ((|#1|) |has| |#1| (-175))) +(((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2217 (|has| |#1| (-376)) (|has| |#1| (-571)))) (((|#2|) . T)) ((((-887)) . T)) ((((-887)) . T)) @@ -855,37 +855,37 @@ ((((-421 (-560))) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) ((($) . T) (((-421 (-560))) . 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T) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#1|) . T)) +((($) . T) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#1|) . T)) (|has| |#1| (-843)) ((((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) (((-560)) |has| |#1| (-1069 (-560))) ((|#1|) . T)) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) (((|#1| $) |has| |#1| (-298 |#1| |#1|))) ((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571))) ((($) |has| |#1| (-571))) @@ -1065,49 +1065,49 @@ (((|#4|) |has| |#4| (-1132))) (((|#3|) |has| |#3| (-1132))) (|has| |#3| (-381)) -((($) |has| |#1| (-571)) ((|#1|) . T) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1069 (-421 (-560))))) (((-560)) . T)) +((($) |has| |#1| (-571)) ((|#1|) . T) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1069 (-421 (-560))))) (((-560)) . T)) ((((-887)) . 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T)) -(-2215 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-571)) (|has| |#1| (-1080))) +(-2217 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-571)) (|has| |#1| (-1080))) (((|#1|) |has| |#1| (-175))) (|has| $ (-149)) (|has| $ (-149)) ((((-1213)) . T)) (((|#1|) |has| |#1| (-175))) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) ((((-887)) . T)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-487)) (|has| |#1| (-571)) (|has| |#1| (-1080)) (|has| |#1| (-1143))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-487)) (|has| |#1| (-571)) (|has| |#1| (-1080)) (|has| |#1| (-1143))) ((($ $) |has| |#1| (-298 $ $)) ((|#1| $) |has| |#1| (-298 |#1| |#1|))) (((|#1| (-421 (-560))) . T)) (((|#1|) . T)) @@ -1116,8 +1116,8 @@ (((|#1|) . T)) ((((-1208)) . T)) (|has| |#1| (-571)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-571)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) @@ -1129,7 +1129,7 @@ (|has| |#1| (-149)) (|has| |#1| (-147)) (|has| |#1| (-149)) -(((|#2| (-246 (-2338 |#1|) (-793)) (-888 |#1|)) . T)) +(((|#2| (-246 (-2340 |#1|) (-793)) (-888 |#1|)) . T)) (((|#1| (-545 |#3|) |#3|) . T)) (|has| |#1| (-147)) (((#0=(-421 (-560)) #0#) |has| |#2| (-376)) (($ $) . T)) @@ -1143,12 +1143,12 @@ (|has| |#1| (-147)) ((((-421 (-560))) |has| |#2| (-376)) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) -(-2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) -(-2215 (|has| |#1| (-363)) (|has| |#1| (-381))) +(-2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) +(-2217 (|has| |#1| (-363)) (|has| |#1| (-381))) ((((-1173 |#2| |#1|)) . T) ((|#1|) . T)) (((|#1| |#2|) . T)) (-12 (|has| |#2| (-240)) (|has| |#2| (-1080))) -(((|#2|) . T) (((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (|has| |#3| (-815)) (|has| |#3| (-815)) ((((-887)) . T)) @@ -1176,18 +1176,18 @@ ((((-887)) . T)) ((((-887)) . T)) (((|#1| |#2|) . T)) -((((-1208)) -2215 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208)))) (((-1113)) . T)) +((((-1208)) -2217 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208)))) (((-1113)) . T)) (((|#1|) . T)) (((|#3|) . T) (((-630 $)) . T)) (((|#1| (-421 (-560))) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1|) . T) (($) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) ((($ (-1295 |#2|)) . T) (($ (-1208)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208))))) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) -((((-560)) -2215 (-12 (|has| |#2| (-1069 (-560))) (|has| |#2| (-1132))) (|has| |#2| (-1080))) ((|#2|) |has| |#2| (-1132)) (((-421 (-560))) -12 (|has| |#2| (-1069 (-421 (-560)))) (|has| |#2| (-1132)))) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) +((((-560)) -2217 (-12 (|has| |#2| (-1069 (-560))) (|has| |#2| (-1132))) (|has| |#2| (-1080))) ((|#2|) |has| |#2| (-1132)) (((-421 (-560))) -12 (|has| |#2| (-1069 (-421 (-560)))) (|has| |#2| (-1132)))) (((|#1|) . T) (((-421 (-560))) . T) (($) . T)) ((($ $) . T) ((|#2| $) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . T)) @@ -1195,15 +1195,15 @@ ((((-887)) . T)) ((((-887)) . T)) (((|#1| |#1|) . T)) -(((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) (((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) |has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-321 (-2 (|:| -3829 |#1|) (|:| -2710 |#2|))))) -(((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132))) (((-2 (|:| -3829 (-1190)) (|:| -2710 |#1|))) |has| (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|)) (-321 (-2 (|:| -3829 (-1190)) (|:| -2710 |#1|))))) +(((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) (((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) |has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-321 (-2 (|:| -3830 |#1|) (|:| -2715 |#2|))))) +(((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132))) (((-2 (|:| -3830 (-1190)) (|:| -2715 |#1|))) |has| (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|)) (-321 (-2 (|:| -3830 (-1190)) (|:| -2715 |#1|))))) ((((-887)) . T)) (((|#1|) . T)) (((|#3| |#3|) . T)) (((|#1|) . T)) ((($) . T) ((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) ((((-1208) (-51)) . T)) -((((-1208)) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208))))) +((((-1208)) -2217 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208))))) (((|#3|) . T)) ((($ $) . T) ((#0=(-888 |#1|) $) . T) ((#0# |#2|) . T)) (|has| |#1| (-843)) @@ -1211,10 +1211,10 @@ ((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T)) ((((-560)) . T) (($) . T) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (|has| (-1120 |#1|) (-1132)) -(((|#2| |#2|) -2215 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) -(((|#2|) -2215 (|has| |#2| (-175)) (|has| |#2| (-376)))) -((((-560) (-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T) ((|#1| |#2|) . T)) -(((|#2|) -2215 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) +(((|#2| |#2|) -2217 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) +(((|#2|) -2217 (|has| |#2| (-175)) (|has| |#2| (-376)))) +((((-560) (-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T) ((|#1| |#2|) . T)) +(((|#2|) -2217 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) ((((-560)) . T)) ((((-1213)) . T)) ((((-793)) . T)) @@ -1233,34 +1233,34 @@ (((|#1|) . T)) ((((-421 (-560))) . T) (($) . T)) ((($) . T) (((-421 (-560))) . T)) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-571))) ((((-1213)) . T)) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((((-560)) . T)) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-571))) (|has| |#1| (-147)) ((((-560)) . 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T)) -((($) -2215 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2215 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) -((($) -2215 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) +((($) -2217 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2217 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) +((($) -2217 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) ((((-560) |#2|) . T)) -((($ (-1208)) -2215 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) +((($ (-1208)) -2217 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) (((|#1| |#2|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-381)) @@ -1280,46 +1280,46 @@ ((((-887)) . 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T)) (((|#1|) |has| |#1| (-321 |#1|))) @@ -1329,21 +1329,21 @@ (|has| |#1| (-381)) ((((-1208) $) |has| |#1| (-528 (-1208) $)) (($ $) |has| |#1| (-321 $)) ((|#1| |#1|) |has| |#1| (-321 |#1|)) (((-1208) |#1|) |has| |#1| (-528 (-1208) |#1|))) ((((-1208)) |has| |#1| (-927 (-1208)))) -(-2215 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (|has| |#1| (-363))) +(-2217 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (|has| |#1| (-363))) (((|#1| |#4|) . T)) (((|#1| |#3|) . T)) ((($) . T)) ((((-402) |#1|) . T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-363))) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) (((|#2|) . T) (((-887)) . T)) ((((-887)) . T)) (((|#2|) . T)) ((((-935 |#1|)) . T)) ((((-887)) . T) (((-1213)) . T)) ((((-1213)) . T)) -((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) -((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) -2215 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939)))) +((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) +((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) -2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939)))) (((|#1| |#2|) . T)) ((($) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . T)) @@ -1352,7 +1352,7 @@ (((|#1|) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) (((|#1| |#1|) . T)) (((#0=(-893 |#1|)) |has| #0# (-321 #0#))) -((((-560)) . T) (($) -2215 (|has| |#1| (-376)) (|has| |#1| (-363))) (((-421 (-560))) -2215 (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-1069 (-421 (-560))))) ((|#1|) . T)) +((((-560)) . T) (($) -2217 (|has| |#1| (-376)) (|has| |#1| (-363))) (((-421 (-560))) -2217 (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-1069 (-421 (-560))))) ((|#1|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-815)) (|has| |#2| (-815)) @@ -1361,7 +1361,7 @@ (-12 (|has| |#1| (-815)) (|has| |#2| (-815))) (|has| |#2| (-1080)) ((($) . T) (((-560)) . T) ((|#2|) . T)) -(((|#2|) . T) (((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#2|) . T) (($) . T)) (|has| |#1| (-1234)) (((#0=(-560) #0#) . T) ((#1=(-421 (-560)) #1#) . T) (($ $) . T)) @@ -1375,7 +1375,7 @@ (((|#1| |#1|) . T) (($ $) . T) ((#0=(-421 (-560)) #0#) . T)) (|has| |#1| (-376)) ((((-560)) . T) (((-421 (-560))) . T) (($) . T)) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) (((|#1|) . T) (($) . T) (((-421 (-560))) . T)) ((((-887)) . T)) ((((-887)) . T)) @@ -1383,39 +1383,39 @@ (((|#1|) . T) (($) . T) (((-421 (-560))) . T)) (((|#1|) . T)) ((((-887)) . T)) -((($ $) . T) ((#0=(-421 (-560)) #0#) -2215 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1| |#1|) . T)) +((($ $) . T) ((#0=(-421 (-560)) #0#) -2217 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1| |#1|) . T)) ((((-549)) |has| |#3| (-633 (-549)))) (((|#1| |#2|) . T)) (|has| |#1| (-870)) (|has| |#1| (-870)) ((((-711 |#3|)) . T) (((-887)) . T)) -((($) . T) (((-421 (-560))) -2215 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) +((($) . T) (((-421 (-560))) -2217 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) (((|#1|) . T)) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-571))) ((($) . 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T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560))))) +((($) -2217 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) ((|#2|) . T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560))))) ((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T)) ((($) . T) (((-560)) . T)) ((((-560) (-146)) . T)) -((((-560) (-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T) ((|#1| |#2|) . T)) +((((-560) (-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T) ((|#1| |#2|) . T)) ((((-421 (-560))) . T) (($) . T)) (((|#1|) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) ((((-887)) . T)) ((((-935 |#1|)) . T)) (|has| |#1| (-376)) @@ -1423,11 +1423,11 @@ (|has| |#1| (-376)) (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-870)) -((($) -2215 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2215 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) +((($) -2217 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2217 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) (|has| |#1| (-376)) (((|#1|) . T) (($) . T)) (|has| |#1| (-870)) -((($) . T) (((-421 (-560))) -2215 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) +((($) . T) (((-421 (-560))) -2217 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) ((((-1208)) |has| |#1| (-927 (-1208)))) (|has| |#1| (-870)) ((((-520)) . T)) @@ -1443,7 +1443,7 @@ ((((-549)) . T)) ((((-887)) . T)) ((($) . T)) -((((-560) (-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T) (((-1265 (-560)) $) . T) ((|#1| |#2|) . T)) +((((-560) (-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T) (((-1265 (-560)) $) . T) ((|#1| |#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (($) . T)) (((|#1|) |has| |#1| (-175))) @@ -1453,22 +1453,22 @@ (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) (((|#3|) . 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T)) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-871)) (|has| |#1| (-1132))) -(((|#2| |#2|) -2215 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-871)) (|has| |#1| (-1132))) +(((|#2| |#2|) -2217 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) (((|#2|) . T) (((-560)) . T)) ((((-887)) . T)) ((((-887)) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T) ((|#2|) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T) ((|#2|) . T)) ((((-887)) . T)) ((((-887)) . T)) ((((-1190) (-1208) (-560) (-229) (-887)) . T)) @@ -1559,9 +1559,9 @@ ((((-421 (-560))) . T) (($) . T)) ((((-887)) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) ((($) . T) (((-421 (-560))) . T)) -(((|#2|) -2215 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) +(((|#2|) -2217 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080)))) (|has| $ (-149)) ((((-421 |#2|)) . T)) ((((-421 (-560))) |has| #0=(-421 |#2|) (-1069 (-421 (-560)))) (((-560)) |has| #0# (-1069 (-560))) ((#0#) . T)) @@ -1570,11 +1570,11 @@ (|has| |#2| (-149)) (|has| |#1| (-149)) (|has| |#1| (-147)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) (((|#1|) . T)) (|has| |#2| (-240)) @@ -1611,9 +1611,9 @@ ((((-887)) . T)) ((((-887)) . T)) ((((-1027 |#1|)) . T) ((|#1|) . T)) -((((-1208)) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208)))) (((-840 (-1208))) . 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T)) ((((-1208)) -12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208))))) (|has| |#1| (-813)) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-571))) -((((-1208)) -2215 (-12 (|has| (-1288 |#1| |#2| |#3|) (-927 (-1208))) (|has| |#1| (-376))) (-12 (|has| (-1288 |#1| |#2| |#3|) (-929 (-1208))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208)))))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-571))) +((((-1208)) -2217 (-12 (|has| (-1288 |#1| |#2| |#3|) (-927 (-1208))) (|has| |#1| (-376))) (-12 (|has| (-1288 |#1| |#2| |#3|) (-929 (-1208))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208)))))) ((((-1208)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208))))) ((((-1208)) -12 (|has| |#1| (-15 * (|#1| (-793) |#1|))) (|has| |#1| (-927 (-1208))))) (((|#1|) |has| |#1| (-175))) (((|#4|) . T)) (((|#4|) . T)) (((|#1| |#2|) . T)) -(-2215 (|has| |#1| (-149)) (-12 (|has| |#1| (-376)) (|has| |#2| (-149)))) +(-2217 (|has| |#1| (-149)) (-12 (|has| |#1| (-376)) (|has| |#2| (-149)))) (((|#4|) . T)) -(-2215 (|has| |#1| (-147)) (-12 (|has| |#1| (-376)) (|has| |#2| (-147)))) +(-2217 (|has| |#1| (-147)) (-12 (|has| |#1| (-376)) (|has| |#2| (-147)))) ((((-1190) |#1|) . T)) (|has| |#1| (-147)) (|has| |#1| (-149)) @@ -1719,24 +1719,24 @@ (((|#3|) . T)) ((((-1288 |#1| |#2| |#3|)) |has| |#1| (-376))) ((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T)) -((((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1206 |#1| |#2| |#3|)) |has| |#1| (-376)) (((-560)) . T) (($) . T) ((|#1|) . T)) -(((|#1|) . T) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) . T)) +((((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1206 |#1| |#2| |#3|)) |has| |#1| (-376)) (((-560)) . T) (($) . T) ((|#1|) . T)) +(((|#1|) . T) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) . T)) ((((-887)) . T)) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-871)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-871)) (|has| |#1| (-1132))) (((|#1|) . T)) (((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) (((-560)) . T) (($) . T)) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132))) (((-987 |#1|)) . T)) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132))) (((-987 |#1|)) . T)) (|has| |#1| (-870)) (|has| |#1| (-870)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) ((((-987 |#1|)) . T)) -(((|#4|) -2215 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)))) -(((|#3|) -2215 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)))) +(((|#4|) -2217 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)))) +(((|#3|) -2217 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)))) (|has| |#2| (-376)) (((|#1|) |has| |#1| (-175))) -(((|#4|) -2215 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)) (|has| |#4| (-1080)))) -(((|#3|) -2215 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)) (|has| |#3| (-1080)))) +(((|#4|) -2217 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)) (|has| |#4| (-1080)))) +(((|#3|) -2217 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)) (|has| |#3| (-1080)))) (((|#2|) |has| |#2| (-1080))) (((|#2|) |has| |#2| (-1080))) ((((-1190) |#1|) . T)) @@ -1748,8 +1748,8 @@ ((((-402) (-1190)) . T)) ((($ (-1208)) . T)) ((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((((-887)) -2215 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-632 (-887))) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-381)) (|has| |#2| (-748)) (|has| |#2| (-815)) (|has| |#2| (-871)) (|has| |#2| (-1080)) (|has| |#2| (-1132))) (((-1298 |#2|)) . T)) -(((#0=(-51)) . T) (((-2 (|:| -3829 (-1190)) (|:| -2710 #0#))) . T)) +((((-887)) -2217 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-632 (-887))) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-381)) (|has| |#2| (-748)) (|has| |#2| (-815)) (|has| |#2| (-871)) (|has| |#2| (-1080)) (|has| |#2| (-1132))) (((-1298 |#2|)) . T)) +(((#0=(-51)) . T) (((-2 (|:| -3830 (-1190)) (|:| -2715 #0#))) . T)) (((|#1|) . T)) ((((-887)) . T)) (((|#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132)))) @@ -1758,7 +1758,7 @@ ((((-560)) . T)) (|has| |#2| (-149)) (|has| |#1| (-487)) -(-2215 (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080))) +(-2217 (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080))) (|has| |#1| (-376)) ((((-887)) . T)) (|has| |#1| (-38 (-421 (-560)))) @@ -1769,8 +1769,8 @@ (|has| |#1| (-870)) ((((-887)) . T)) (((|#2|) . T)) -((((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2215 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-1288 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) |has| |#1| (-175))) -(((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2215 (|has| |#1| (-376)) (|has| |#1| (-571)))) +((((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2217 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-1288 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) |has| |#1| (-175))) +(((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2217 (|has| |#1| (-376)) (|has| |#1| (-571)))) ((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (((|#2|) . T) (((-560)) . T) (((-841 |#1|)) . T)) (((|#1| |#2|) . T)) @@ -1779,8 +1779,8 @@ ((((-935 |#1|)) . T) (((-421 (-560))) . T) (($) . T)) ((((-887)) . T)) ((((-887)) . T)) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) -(((|#2| (-496 (-2338 |#1|) (-793)) (-888 |#1|)) . T)) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(((|#2| (-496 (-2340 |#1|) (-793)) (-888 |#1|)) . T)) ((((-421 (-560))) . #0=(|has| |#2| (-376))) (($) . #0#)) (((|#1| (-545 (-1208)) (-1208)) . T)) (((|#1|) . T)) @@ -1801,19 +1801,19 @@ (((|#2|) |has| |#2| (-175))) (((|#1|) . T)) (((|#2|) . T)) -(((|#1|) . T) (((-2 (|:| -3829 (-1190)) (|:| -2710 |#1|))) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -3830 (-1190)) (|:| -2715 |#1|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#2|) . T)) -((((-2 (|:| -3829 (-1208)) (|:| -2710 (-51)))) . T)) +((((-2 (|:| -3830 (-1208)) (|:| -2715 (-51)))) . T)) ((((-1206 |#1| |#2| |#3|)) |has| |#1| (-376))) ((((-1206 |#1| |#2| |#3|)) |has| |#1| (-376))) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) ((((-1208) (-51)) . T)) ((((-421 (-560)) |#1|) . T) (($ $) . T)) (((|#1| (-560)) . T)) ((((-935 |#1|)) . T)) -(((|#1|) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1080))) (($) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)))) -((((-1208)) -2215 (-12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080))) (-12 (|has| |#2| (-929 (-1208))) (|has| |#2| (-1080))))) +(((|#1|) -2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1080))) (($) -2217 (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)))) +((((-1208)) -2217 (-12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080))) (-12 (|has| |#2| (-929 (-1208))) (|has| |#2| (-1080))))) (((|#1|) . T) (((-560)) |has| |#1| (-1069 (-560))) (((-421 (-560))) |has| |#1| (-1069 (-421 (-560))))) (|has| |#1| (-871)) (|has| |#1| (-871)) @@ -1834,15 +1834,15 @@ (((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1132)))) (((|#1|) |has| |#1| (-175))) (((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1132)))) -(((|#3|) -2215 (|has| |#3| (-175)) (|has| |#3| (-376)))) -((($) -2215 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -(-2215 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-939))) -((($) -2215 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +(((|#3|) -2217 (|has| |#3| (-175)) (|has| |#3| (-376)))) +((($) -2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +(-2217 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-939))) +((($) -2217 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) ((($ |#2|) . T)) -((($ (-1208)) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208)))) (($ (-1113)) . T)) +((($ (-1208)) -2217 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208)))) (($ (-1113)) . T)) ((($ $) . T) ((#0=(-421 (-560)) #0#) . T)) ((((-560) |#2|) . T)) -(((|#2|) -2215 (|has| |#2| (-175)) (|has| |#2| (-376)))) +(((|#2|) -2217 (|has| |#2| (-175)) (|has| |#2| (-376)))) (|has| |#1| (-363)) (((|#3| |#3|) -12 (|has| |#3| (-321 |#3|)) (|has| |#3| (-1132)))) (((|#2|) . T) (((-560)) . T)) @@ -1851,7 +1851,7 @@ (|has| |#1| (-842)) (|has| |#1| (-842)) (((|#1|) . T)) -(-2215 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2217 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) (|has| |#1| (-870)) (|has| |#1| (-870)) (|has| |#1| (-870)) @@ -1860,14 +1860,14 @@ ((((-560)) . T) (($) . T) (((-421 (-560))) . T)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-363))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) ((((-1208)) |has| |#1| (-927 (-1208))) (((-1113)) . T)) (((|#1|) . T)) (|has| |#1| (-870)) -(((#0=(-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) #0#) |has| (-2 (|:| -3829 (-1190)) (|:| -2710 (-51))) (-321 (-2 (|:| -3829 (-1190)) (|:| -2710 (-51)))))) +(((#0=(-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) #0#) |has| (-2 (|:| -3830 (-1190)) (|:| -2715 (-51))) (-321 (-2 (|:| -3830 (-1190)) (|:| -2715 (-51)))))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) (|has| |#1| (-1132)) ((((-887)) . T) (((-1213)) . T)) @@ -1891,14 +1891,14 @@ (((|#3|) . T)) (((|#1| (-793) (-1113)) . T)) ((((-146)) . T)) -((((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) (((-560)) -2215 (|has| |#1| (-870)) (|has| |#1| (-1069 (-560)))) ((|#1|) . T)) +((((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) (((-560)) -2217 (|has| |#1| (-870)) (|has| |#1| (-1069 (-560)))) ((|#1|) . T)) (((|#1|) . T)) (((|#2|) . T)) ((((-146)) . 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T)) (|has| |#1| (-147)) (|has| |#1| (-149)) @@ -1917,31 +1917,31 @@ ((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571))) ((($) |has| |#1| (-571))) (((|#2|) . T)) -((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2215 (|has| |#1| (-175)) (|has| |#1| (-571)))) +((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2217 (|has| |#1| (-175)) (|has| |#1| (-571)))) ((($) |has| |#1| (-571)) ((|#1|) . T)) ((($) |has| |#1| (-870))) ((((-1206 |#1| |#2| |#3|)) |has| |#1| (-376))) (|has| |#1| (-939)) ((((-1208)) . T)) ((((-887)) . T)) -((($) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1288 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) . 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T)) +((((-2 (|:| -3830 (-1208)) (|:| -2715 (-51)))) . T)) ((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T) (((-421 (-560))) . T) (($) . T)) ((((-694 |#1|)) . T)) (((|#1| |#2| |#3| |#4|) . T)) @@ -1975,7 +1975,7 @@ ((((-887)) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) ((((-887)) . T)) -((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) +((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) ((((-1213)) . T)) ((((-421 (-560))) . T) (($) . T) (((-421 |#1|)) . T) ((|#1|) . T) (((-560)) . T)) (((|#3|) . T) (((-560)) . T) (((-630 $)) . T)) @@ -1983,12 +1983,12 @@ ((((-887)) . T)) ((((-887)) . T)) (((|#2|) . 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T)) +((($) -2217 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (-12 (|has| |#1| (-376)) (|has| |#2| (-239))))) ((($) |has| |#1| (-15 * (|#1| (-421 (-560)) |#1|)))) ((((-1002)) . T)) ((((-1002)) . T) (((-887)) . T)) @@ -2058,7 +2058,7 @@ ((($) . T)) (((|#1|) . T)) ((((-114)) . T)) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((((-560)) . T)) (((|#1| (-560)) . T)) ((($) . T)) @@ -2081,7 +2081,7 @@ (((|#1| (-1258 |#1| |#2| |#3|)) . T)) ((((-887)) . T)) (|has| |#1| (-1132)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#1| (-793)) . T)) ((((-1190) |#1|) . T)) (((|#1|) . T)) @@ -2102,20 +2102,20 @@ ((((-560)) . T)) ((((-560)) . T)) ((((-887)) . T)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-363))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-363))) ((((-887)) . T)) (|has| |#1| (-149)) (((|#3|) . 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T)) @@ -2159,8 +2159,8 @@ (|has| |#1| (-870)) (|has| |#1| (-870)) (((|#1| (-560) (-1113)) . T)) -(-2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080))) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +(-2217 (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080))) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#1| (-421 (-560)) (-1113)) . T)) (((|#1| (-793) (-1113)) . T)) (|has| |#1| (-871)) @@ -2174,41 +2174,41 @@ ((((-935 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) (|has| |#1| (-1132)) ((((-421 (-560))) |has| |#2| (-376)) (($) . T) (((-560)) . T)) -((((-560)) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)))) +((((-560)) -2217 (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)))) (((|#1|) . 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T)) (((|#1|) |has| |#1| (-175))) (((|#1|) . T)) @@ -2320,37 +2320,37 @@ ((((-721)) . T)) ((((-721)) . T)) (((|#2|) |has| |#2| (-175))) -(-2215 (|has| |#1| (-240)) (|has| |#1| (-239))) +(-2217 (|has| |#1| (-240)) (|has| |#1| (-239))) ((((-560)) . T) ((|#2|) . T) (((-421 (-560))) |has| |#2| (-1069 (-421 (-560))))) -((((-114)) |has| |#1| (-1132)) (((-887)) -2215 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)) (|has| |#1| (-1143)) (|has| |#1| (-1132)))) +((((-114)) |has| |#1| (-1132)) (((-887)) -2217 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)) (|has| |#1| (-1143)) (|has| |#1| (-1132)))) (((|#1|) . T) (($) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-560)) . T) (((-421 (-560))) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . 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T) (((-421 (-560))) -2217 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) ((((-560) |#1|) . T)) -(((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) (((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) |has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-321 (-2 (|:| -3829 |#1|) (|:| -2710 |#2|))))) +(((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) (((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) |has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-321 (-2 (|:| -3830 |#1|) (|:| -2715 |#2|))))) ((((-391)) . T)) ((((-721)) . T)) ((((-421 (-560))) . #0=(|has| |#2| (-376))) (($) . #0#)) (((|#1|) |has| |#1| (-175))) ((((-421 (-975 |#1|))) . T)) (((|#2| |#2|) . T)) -(-2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) -(-2215 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) +(-2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) +(-2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) (((|#1|) . T)) (((|#2|) . T)) (((|#3|) |has| |#3| (-1080))) @@ -2362,7 +2362,7 @@ ((((-1208)) |has| |#2| (-927 (-1208)))) (|has| |#1| (-871)) ((((-887)) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (|has| |#1| (-813)) ((((-421 (-560))) . T) (($) . T)) (|has| |#1| (-487)) @@ -2370,8 +2370,8 @@ (|has| |#1| (-381)) (|has| |#1| (-381)) (|has| |#1| (-376)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-487)) (|has| |#1| (-571)) (|has| |#1| (-1080)) (|has| |#1| (-1143))) -((($) -2215 (|has| |#1| (-240)) (|has| |#1| (-239)) (|has| |#1| (-363)))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-487)) (|has| |#1| (-571)) (|has| |#1| (-1080)) (|has| |#1| (-1143))) +((($) -2217 (|has| |#1| (-240)) (|has| |#1| (-239)) (|has| |#1| (-363)))) ((((-118 |#1|)) . T)) ((((-118 |#1|)) . T)) (|has| |#1| (-363)) @@ -2383,7 +2383,7 @@ (|has| |#1| (-38 (-421 (-560)))) (((|#2|) . T) (((-887)) . T)) (((|#2|) . T) (((-887)) . T)) -((($ (-1208)) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208))))) +((($ (-1208)) -2217 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208))))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) @@ -2393,18 +2393,18 @@ (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-871)) -((((-2 (|:| -3829 (-1190)) (|:| -2710 |#1|))) . T)) +((((-2 (|:| -3830 (-1190)) (|:| -2715 |#1|))) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-560)) . T)) (|has| |#1| (-149)) (|has| |#1| (-147)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) |has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-321 (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)))) ((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132)))) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) |has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-321 (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)))) ((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132)))) (((|#2|) . T)) (|has| |#1| (-15 * (|#1| (-560) |#1|))) (((|#3|) . T)) ((((-118 |#1|)) . T)) (|has| |#1| (-381)) -(-2215 (-12 (|has| (-1288 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1288 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) +(-2217 (-12 (|has| (-1288 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1288 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-871)) (((|#2|) . T) (((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) (((-560)) |has| |#1| (-1069 (-560))) ((|#1|) . T)) @@ -2423,17 +2423,17 @@ (((|#1|) |has| |#1| (-376))) (((|#1|) |has| |#1| (-376))) ((((-887)) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) ((($ $) . T) (((-630 $) $) . T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) ((($) . 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T)) -((((-1208)) -2215 (-12 (|has| |#3| (-927 (-1208))) (|has| |#3| (-1080))) (-12 (|has| |#3| (-929 (-1208))) (|has| |#3| (-1080))))) +((((-1208)) -2217 (-12 (|has| |#3| (-927 (-1208))) (|has| |#3| (-1080))) (-12 (|has| |#3| (-929 (-1208))) (|has| |#3| (-1080))))) ((((-663 (-802 |#1| (-888 |#2|)))) . T) (((-887)) . T)) ((((-549)) |has| (-802 |#1| (-888 |#2|)) (-633 (-549)))) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) @@ -2442,17 +2442,17 @@ (((|#3|) -12 (|has| |#3| (-321 |#3|)) (|has| |#3| (-1132)))) (((|#1|) |has| |#1| (-175))) ((((-887)) . T)) -(-2215 (|has| |#2| (-466)) (|has| |#2| (-939))) +(-2217 (|has| |#2| (-466)) (|has| |#2| (-939))) (((|#1|) . T)) ((($) . T)) ((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((($) -2215 (|has| |#1| (-175)) (|has| |#1| (-571))) ((|#1|) . 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T)) ((((-560)) -12 (|has| |#1| (-21)) (|has| |#2| (-21)))) @@ -2460,13 +2460,13 @@ (|has| |#1| (-147)) (|has| |#1| (-149)) ((((-560)) . T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) (((#0=(-1279 |#2| |#3| |#4|)) . T) (((-421 (-560))) |has| #0# (-38 (-421 (-560)))) (($) . T)) ((((-560)) . T)) ((($) . T)) -(-2215 (-12 (|has| (-1288 |#1| |#2| |#3|) (-149)) (|has| |#1| (-376))) (|has| |#1| (-149))) -(-2215 (-12 (|has| (-1288 |#1| |#2| |#3|) (-147)) (|has| |#1| (-376))) (|has| |#1| (-147))) +(-2217 (-12 (|has| (-1288 |#1| |#2| |#3|) (-149)) (|has| |#1| (-376))) (|has| |#1| (-149))) +(-2217 (-12 (|has| (-1288 |#1| |#2| |#3|) (-147)) (|has| |#1| (-376))) (|has| |#1| (-147))) (|has| |#1| (-376)) (|has| |#1| (-147)) (|has| |#1| (-149)) @@ -2488,29 +2488,29 @@ ((((-421 (-560))) . #0=(|has| |#2| (-376))) (($) . #0#)) (|has| |#1| (-871)) ((((-421 (-560))) |has| |#2| (-376)) (($) . T)) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) ((((-1173 |#2| |#1|)) . T) ((|#1|) . T) (((-560)) . T)) (((|#1| |#2|) . T)) -((((-560)) . T) ((|#1|) . 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T) (($ $) -2215 (|has| |#1| (-302)) (|has| |#1| (-376))) ((#0=(-421 (-560)) #0#) |has| |#1| (-376))) +(((|#1| |#1|) . T) (($ $) -2217 (|has| |#1| (-302)) (|has| |#1| (-376))) ((#0=(-421 (-560)) #0#) |has| |#1| (-376))) ((((-975 |#1|)) . T)) -((((-2 (|:| -3829 (-1208)) (|:| -2710 (-51)))) . T)) +((((-2 (|:| -3830 (-1208)) (|:| -2715 (-51)))) . T)) ((($) . T)) ((((-560) |#1|) . T)) ((((-1208)) |has| (-421 |#2|) (-927 (-1208)))) -(((|#1|) . T) (($) -2215 (|has| |#1| (-302)) (|has| |#1| (-376))) (((-421 (-560))) |has| |#1| (-376))) +(((|#1|) . T) (($) -2217 (|has| |#1| (-302)) (|has| |#1| (-376))) (((-421 (-560))) |has| |#1| (-376))) ((((-549)) |has| |#2| (-633 (-549)))) ((((-711 |#2|)) . T) (((-887)) . T)) (((|#1|) . T)) @@ -2518,24 +2518,24 @@ (((|#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1132)))) ((((-893 |#1|)) . 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T)) @@ -2642,13 +2642,13 @@ ((((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) ((|#1|) . T) (((-560)) . T)) (|has| |#2| (-147)) (|has| |#2| (-149)) -(-2215 (|has| |#2| (-842)) (|has| |#2| (-871))) +(-2217 (|has| |#2| (-842)) (|has| |#2| (-871))) ((((-935 |#1|)) . T) (((-421 (-560))) . T) (($) . T)) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) ((((-560)) . T) ((|#1|) . T)) (((|#2|) . T) (($) . T) (((-560)) . T)) (((|#2|) . T)) -((((-1208)) -2215 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) +((((-1208)) -2217 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) (((|#1| |#1|) . T)) (((|#3|) |has| |#3| (-376))) ((((-421 |#2|)) . T)) @@ -2657,10 +2657,10 @@ ((((-887)) . T)) ((((-887)) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . 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T) (((-560)) . T)) -((((-2 (|:| -3829 (-1190)) (|:| -2710 (-51)))) . T)) +((((-2 (|:| -3830 (-1190)) (|:| -2715 (-51)))) . T)) (((|#1|) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) ((((-887)) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-560)) . T)) (((|#1| (-421 (-560))) . T)) (((|#1|) . T)) -(-2215 (|has| |#1| (-302)) (|has| |#1| (-376))) +(-2217 (|has| |#1| (-302)) (|has| |#1| (-376))) ((((-146)) . T)) ((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T) (((-421 (-560))) . T) (($) . T)) (|has| |#1| (-870)) @@ -2880,7 +2880,7 @@ ((((-887)) . T)) ((((-887)) . T)) ((((-186)) . T) (((-887)) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#2| |#2|) . T) ((|#1| |#1|) . T)) ((((-887)) . T)) ((((-887)) . T)) @@ -2897,8 +2897,8 @@ (|has| |#1| (-871)) ((((-887)) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-2 (|:| -3829 (-1190)) (|:| -2710 |#1|))) . T)) -((($) -2215 (-12 (|has| (-1206 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1206 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|))))) +((((-2 (|:| -3830 (-1190)) (|:| -2715 |#1|))) . T)) +((($) -2217 (-12 (|has| (-1206 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1206 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|))))) ((((-887)) . T)) (((|#2|) |has| |#2| (-376))) ((((-887)) . T)) @@ -2913,19 +2913,19 @@ (|has| |#3| (-1080)) (|has| |#1| (-1132)) ((((-1208) (-51)) . T)) -(-2215 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) +(-2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . 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T) (($ $) . T)) ((((-560)) . T)) (((|#1|) . T)) @@ -2937,12 +2937,12 @@ (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) (|has| |#1| (-842)) (((#0=(-935 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T)) ((((-421 |#2|)) . T)) (|has| |#1| (-870)) -((((-1235 |#1|)) . T) (((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-1235 |#1|)) . T) (((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) (((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) . T) ((#1=(-560) #1#) . T) (($ $) . T)) ((((-935 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) (((|#2|) |has| |#2| (-1080)) (((-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1080)))) @@ -2961,36 +2961,36 @@ (((|#2|) |has| |#2| (-175))) (((|#1|) . T)) (((|#2|) . 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T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-363))) (((#0=(-421 (-560)) #0#) . T) ((#1=(-721) #1#) . T) (($ $) . T)) ((((-326 |#1|)) . T) (($) . T)) (((|#1|) . T) (((-421 (-560))) |has| |#1| (-376))) ((((-887)) . T)) (|has| |#1| (-1132)) (((|#1|) . T)) -(((|#1|) -2215 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) -(((|#1|) -2215 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) +(((|#1|) -2217 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) +(((|#1|) -2217 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) (((|#2|) . T)) ((((-421 (-560))) . T) (((-721)) . T) (($) . T)) ((((-593)) . T)) (((|#3| |#3|) . T)) -((($ (-1208)) -2215 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) +((($ (-1208)) -2217 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) (|has| |#1| (-871)) (|has| |#2| (-240)) ((((-888 |#1|)) . T)) @@ -3011,10 +3011,10 @@ (|has| |#1| (-1132)) (((|#2|) . T)) (((|#1|) . T)) -((($) -2215 (|has| |#1| (-240)) (|has| |#1| (-239)))) +((($) -2217 (|has| |#1| (-240)) (|has| |#1| (-239)))) ((((-560)) . T)) (((|#2|) . T) (((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) ((|#1|) . T) (($) . T) (((-560)) . T)) -(-2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) +(-2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) (((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) (((|#1| |#2|) . T)) ((($) . T)) @@ -3057,7 +3057,7 @@ (|has| |#2| (-1051)) ((($) . T)) (|has| |#1| (-939)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#4|) . T)) ((($) . T)) (((|#2|) . T)) @@ -3067,32 +3067,32 @@ (|has| |#1| (-376)) ((((-935 |#1|)) . T)) ((($) . T) (((-560)) . T) ((|#1|) . T) (((-421 (-560))) . T)) -((($) -2215 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((($) |has| |#1| (-870)) (((-560)) -2215 (|has| |#1| (-21)) (|has| |#1| (-870)))) +((($) -2217 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) |has| |#1| (-870)) (((-560)) -2217 (|has| |#1| (-21)) (|has| |#1| (-870)))) ((($ $) . T) ((#0=(-421 (-560)) #0#) . T)) -(-2215 (|has| |#1| (-381)) (|has| |#1| (-871))) +(-2217 (|has| |#1| (-381)) (|has| |#1| (-871))) (((|#1|) . T)) ((((-793)) . T)) ((((-887)) . T)) ((((-1208)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208))))) ((((-421 |#2|) |#3|) . T)) -(-2215 (-12 (|has| |#3| (-240)) (|has| |#3| (-1080))) (-12 (|has| |#3| (-239)) (|has| |#3| (-1080)))) +(-2217 (-12 (|has| |#3| (-240)) (|has| |#3| (-1080))) (-12 (|has| |#3| (-239)) (|has| |#3| (-1080)))) ((($) . T) (((-421 (-560))) . T)) ((($) . T) (((-560)) . T) (((-421 (-560))) . T) (((-630 $)) . T)) ((((-560)) . T) (($) . T)) ((((-560)) . T) (($) . T)) ((((-793) |#1|) . T)) -(((|#2| (-246 (-2338 |#1|) (-793))) . T)) +(((|#2| (-246 (-2340 |#1|) (-793))) . T)) (((|#1| (-545 |#3|)) . T)) ((((-421 (-560))) . T)) -(-2215 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) +(-2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((((-1190)) . T) (((-887)) . T)) -(((#0=(-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) #0#) |has| (-2 (|:| -3829 (-1208)) (|:| -2710 (-51))) (-321 (-2 (|:| -3829 (-1208)) (|:| -2710 (-51)))))) +(((#0=(-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) #0#) |has| (-2 (|:| -3830 (-1208)) (|:| -2715 (-51))) (-321 (-2 (|:| -3830 (-1208)) (|:| -2715 (-51)))))) ((((-1190)) . T)) (|has| |#1| (-939)) (|has| |#2| (-376)) (((|#1|) . T) (($) . T) (((-560)) . T)) -(-2215 (|has| |#2| (-21)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-815)) (|has| |#2| (-1080))) +(-2217 (|has| |#2| (-21)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-815)) (|has| |#2| (-1080))) ((((-171 (-391))) . T) (((-229)) . T) (((-391)) . T)) ((((-887)) . T)) (((|#1|) . T)) @@ -3109,12 +3109,12 @@ (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -(-2215 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2217 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) (|has| |#1| (-38 (-421 (-560)))) (-12 (|has| |#1| (-559)) (|has| |#1| (-843))) ((((-887)) . T)) (|has| |#1| (-376)) -((((-1208)) -2215 (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-927 (-1208)))))) +((((-1208)) -2217 (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-927 (-1208)))))) (|has| |#1| (-376)) ((((-1208)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208))))) ((((-421 (-560))) . T) (($) . T)) @@ -3126,13 +3126,13 @@ ((((-560) |#1|) . T)) ((((-1208)) |has| |#1| (-927 (-1208)))) (((|#1|) . T)) -(-2215 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363))) +(-2217 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363))) (((|#2|) |has| |#1| (-376))) (((|#2|) |has| |#1| (-376))) -(-2215 (|has| |#4| (-815)) (|has| |#4| (-871))) -(-2215 (|has| |#3| (-815)) (|has| |#3| (-871))) +(-2217 (|has| |#4| (-815)) (|has| |#4| (-871))) +(-2217 (|has| |#3| (-815)) (|has| |#3| (-871))) ((((-560)) . T) (($) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) |has| |#1| (-175))) @@ -3167,7 +3167,7 @@ (|has| |#1| (-871)) ((((-887)) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) (((|#1|) . T)) ((($) . T) (((-560)) . T) ((|#2|) . T)) @@ -3176,27 +3176,27 @@ (((|#3|) . T)) ((((-1190)) . T) (((-520)) . T) (((-229)) . T) (((-560)) . T)) (((|#1|) . T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) (|has| |#1| (-571)) (((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1132)))) ((((-421 |#2|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) -(-2215 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-815)) (|has| |#2| (-1080))) +(-2217 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-815)) (|has| |#2| (-1080))) (((|#2|) . T)) (((|#2|) . T)) (|has| |#2| (-1080)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) -((((-2 (|:| -3829 (-1190)) (|:| -2710 |#1|))) . T)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) +((((-2 (|:| -3830 (-1190)) (|:| -2715 |#1|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (|has| |#1| (-38 (-421 (-560)))) (((|#1| |#2|) . T)) (|has| |#1| (-38 (-421 (-560)))) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-381))) ((($) . T)) (|has| |#1| (-149)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) ((($) . T)) ((((-595 |#1|)) . T)) @@ -3212,7 +3212,7 @@ ((((-421 (-560))) |has| |#2| (-1069 (-560))) (((-560)) |has| |#2| (-1069 (-560))) (((-1208)) |has| |#2| (-1069 (-1208))) ((|#2|) . T)) (((#0=(-421 |#2|) #0#) . T) ((#1=(-421 (-560)) #1#) . T) (($ $) . T)) (((|#1|) . T)) -(-2215 (|has| |#1| (-147)) (|has| |#1| (-363))) +(-2217 (|has| |#1| (-147)) (|has| |#1| (-363))) (|has| |#1| (-149)) ((((-887)) . T)) ((($) . T)) @@ -3232,15 +3232,15 @@ ((((-421 |#2|)) . T)) ((((-887)) . T)) (((|#1|) . T)) -((((-1208)) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208))))) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +((((-1208)) -2217 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208))))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) (|has| |#1| (-813)) (|has| |#1| (-813)) ((((-887)) . T)) ((((-935 |#1|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) ((((-887)) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-871)) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-871)) (|has| |#1| (-1132)))) ((((-115)) . T) ((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) @@ -3250,7 +3250,7 @@ (((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)) (((-421 (-560))) |has| |#1| (-571))) ((((-887)) . T)) ((((-887)) . T)) -(-2215 (-12 (|has| |#2| (-240)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1080)))) +(-2217 (-12 (|has| |#2| (-240)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1080)))) (((#0=(-935 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T)) (((|#2|) . T)) (((|#1|) . T)) @@ -3262,10 +3262,10 @@ ((((-887)) . T)) (((|#2|) . T)) ((((-560)) . T)) -((((-1208)) -2215 (|has| (-421 |#2|) (-927 (-1208))) (|has| (-421 |#2|) (-929 (-1208))))) +((((-1208)) -2217 (|has| (-421 |#2|) (-927 (-1208))) (|has| (-421 |#2|) (-929 (-1208))))) ((((-887)) . T)) ((((-560)) . T)) -(-2215 (|has| |#2| (-815)) (|has| |#2| (-871))) +(-2217 (|has| |#2| (-815)) (|has| |#2| (-871))) ((((-171 (-391))) . T) (((-229)) . T) (((-391)) . T)) ((((-887)) . T)) ((((-887)) . T)) @@ -3277,11 +3277,11 @@ (((|#1|) . T) (($) . T) (((-421 (-560))) . T)) (|has| |#1| (-376)) (|has| |#1| (-376)) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) ((((-887)) . T)) ((((-560) $) . T) (((-663 (-560)) $) . T)) -(-2215 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)) (|has| |#1| (-1143)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-927 (-1208))) (|has| |#1| (-1080)) (|has| |#1| (-1143)) (|has| |#1| (-1132))) (|has| |#1| (-1183)) ((((-935 |#1|)) . T) (((-421 (-560))) . T) (($) . T)) ((($) . T)) @@ -3291,22 +3291,22 @@ (((#0=(-118 |#1|) $) |has| #0# (-298 #0# #0#))) (((|#1|) |has| |#1| (-175))) ((((-326 |#1|)) . T) (((-560)) . T)) -(-2215 (|has| |#2| (-240)) (|has| |#2| (-239))) +(-2217 (|has| |#2| (-240)) (|has| |#2| (-239))) (((|#1|) . T)) (((|#1| |#1|) . T)) ((((-887)) . T)) (((|#1|) . T)) ((((-115)) . T) ((|#1|) . T)) ((((-887)) . T)) -((((-1208)) -2215 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) +((((-1208)) -2217 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) (((|#1|) |has| |#1| (-321 |#1|))) ((((-560) |#1|) . T) (((-1265 (-560)) $) . T)) (((|#1| |#2|) . T)) ((((-1208) |#1|) . T)) -(((|#1|) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)))) +(((|#1|) -2217 (|has| |#1| (-175)) (|has| |#1| (-376)))) (((|#1|) . T)) ((($ (-1208)) . T)) -(((|#1|) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1080)))) +(((|#1|) -2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1080)))) ((((-560)) . T) (((-421 (-560))) . T)) (((|#1|) . T)) (|has| |#1| (-571)) @@ -3315,15 +3315,15 @@ (((|#1|) . T)) (((|#1|) . T)) ((((-421 |#2|)) . T) (((-421 (-560))) . T) (($) . T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) (|has| |#1| (-571)) ((($) . T)) (|has| |#1| (-1132)) ((((-802 |#1| (-888 |#2|))) |has| (-802 |#1| (-888 |#2|)) (-321 (-802 |#1| (-888 |#2|))))) -(-2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) +(-2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) (((|#1|) . T)) (((|#2| |#3|) . T)) (((|#1|) . T)) @@ -3332,17 +3332,17 @@ (((|#1| (-793)) . T)) (|has| |#1| (-240)) (((|#1| (-545 (-1119 (-1208)))) . T)) -((($) -2215 (-12 (|has| |#2| (-240)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1080))))) +((($) -2217 (-12 (|has| |#2| (-240)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1080))))) ((((-595 |#1|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) ((((-560)) . T) (((-421 (-560))) . T) (($) . T)) -((((-2 (|:| -3829 (-1190)) (|:| -2710 (-51)))) . T)) +((((-2 (|:| -3830 (-1190)) (|:| -2715 (-51)))) . T)) (((|#1|) . T)) (((|#1|) . T) (((-560)) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) (|has| |#2| (-376)) ((((-887)) . T)) ((((-887)) . T)) -(-2215 (|has| |#3| (-815)) (|has| |#3| (-871))) +(-2217 (|has| |#3| (-815)) (|has| |#3| (-871))) ((((-887)) . T)) ((((-1151)) . T) (((-887)) . T)) ((((-549)) . T) (((-887)) . T)) @@ -3353,14 +3353,14 @@ ((((-560)) . T)) (((|#3|) . T)) ((((-887)) . T)) -(-2215 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) -((((-560)) . 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T) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1069 (-421 (-560))))) (((-1208)) . T)) +((((-1156 |#1| (-1208))) . T) (((-560)) . T) (((-1119 (-1208))) . T) (($) -2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1|) . T) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1069 (-421 (-560))))) (((-1208)) . T)) (((|#1|) |has| |#1| (-175))) (((|#1| (-1298 |#1|) (-1298 |#1|)) . T)) ((((-595 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) @@ -3375,7 +3375,7 @@ ((((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) ((|#1|) . T) (((-560)) . T)) (((|#1|) . T)) ((((-887)) . T)) -(((#0=(-421 (-560)) #0#) |has| |#2| (-38 (-421 (-560)))) ((|#2| |#2|) . T) (($ $) -2215 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) +(((#0=(-421 (-560)) #0#) |has| |#2| (-38 (-421 (-560)))) ((|#2| |#2|) . T) (($ $) -2217 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) (((|#2| |#2|) . T) ((|#6| |#6|) . T)) ((((-305 |#3|)) . T)) (((|#1|) . T)) @@ -3384,30 +3384,30 @@ (((|#1|) . T) (((-421 (-560))) . T) (($) . T)) (((|#1|) . T) (((-421 (-560))) . T) (($) . T)) (((|#1|) . T) (((-421 (-560))) . T) (($) . T)) -((($ $) -2215 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560))))) -((($ $) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560))))) +((($ $) -2217 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560))))) +((($ $) -2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560))))) (((|#2|) . 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T)) -(-2215 (|has| |#2| (-815)) (|has| |#2| (-871))) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(-2217 (|has| |#2| (-815)) (|has| |#2| (-871))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) (((|#1|) . T)) (((|#1|) . T) (($) . T) (((-421 (-560))) . T)) ((((-1208)) . T) ((|#1|) . T)) @@ -3419,15 +3419,15 @@ (((#0=(-421 (-560)) #0#) . T)) ((((-421 (-560))) . T)) (((|#1|) |has| |#1| (-175))) -(-2215 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080))) +(-2217 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1080))) (((|#1|) . T)) (((|#1|) . T)) -(-2215 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-815)) (|has| |#2| (-1080))) +(-2217 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-815)) (|has| |#2| (-1080))) (((|#1|) . T)) ((((-421 (-560))) . T) (((-560)) . 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T) (((-560)) |has| |#2| (-1069 (-560))) (((-421 (-560))) |has| |#2| (-1069 (-421 (-560))))) ((((-1113)) . T) ((|#2|) . T) (((-560)) |has| |#2| (-1069 (-560))) (((-421 (-560))) |has| |#2| (-1069 (-421 (-560))))) (((|#1|) . T)) @@ -3477,11 +3477,11 @@ ((($) |has| |#1| (-381))) (|has| |#2| (-842)) (|has| |#2| (-842)) -((((-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2|) |has| |#1| (-376)) (($) . T) ((|#1|) . T)) +((((-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2|) |has| |#1| (-376)) (($) . T) ((|#1|) . T)) ((($ (-1208)) |has| |#1| (-927 (-1208)))) (((|#1|) . T) (((-560)) |has| |#1| (-1069 (-560))) (((-421 (-560))) |has| |#1| (-1069 (-421 (-560))))) -((($) -2215 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363)))) -(((|#1|) . T) (((-421 (-560))) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) . T)) +((($) -2217 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363)))) +(((|#1|) . T) (((-421 (-560))) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) ((((-560)) |has| |#1| (-911 (-560))) (((-391)) |has| |#1| (-911 (-391)))) (((|#1|) . T)) @@ -3496,7 +3496,7 @@ (-12 (|has| |#1| (-376)) (|has| |#2| (-939))) (|has| |#1| (-376)) (((|#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1132)))) -(((|#2|) -2215 (|has| |#2| (-6 (-4511 "*"))) (|has| |#2| (-175)))) +(((|#2|) -2217 (|has| |#2| (-6 (-4511 "*"))) (|has| |#2| (-175)))) (((|#2|) . T)) (|has| |#1| (-376)) (((|#2|) . T)) @@ -3510,12 +3510,12 @@ (((|#2| (-793)) . T)) ((((-1208)) . T)) ((((-893 |#1|)) . 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T) (((-421 (-560))) . T) (((-560)) |has| |#2| (-660 (-560)))) -(-2215 (|has| |#1| (-102)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-102)) (|has| |#1| (-1132))) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) @@ -3542,7 +3542,7 @@ (((|#1|) . T)) ((((-887)) . T)) (|has| |#2| (-939)) -((((-2 (|:| -3829 (-1208)) (|:| -2710 (-51)))) . T)) +((((-2 (|:| -3830 (-1208)) (|:| -2715 (-51)))) . T)) ((((-549)) |has| |#2| (-633 (-549))) (((-915 (-391))) |has| |#2| (-633 (-915 (-391)))) (((-915 (-560))) |has| |#2| (-633 (-915 (-560))))) ((((-887)) . T)) ((((-887)) . T)) @@ -3553,7 +3553,7 @@ ((((-1202 |#1|)) . T) (((-887)) . T)) ((((-887)) . T)) ((((-421 (-560))) |has| |#2| (-1069 (-421 (-560)))) (((-560)) |has| |#2| (-1069 (-560))) ((|#2|) . T) (((-888 |#1|)) . T)) -((((-1208)) -2215 (|has| |#1| (-927 (-1208))) (|has| |#1| (-929 (-1208)))) (((-1113)) . 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T) (((-560)) |has| |#1| (-1069 (-560))) (((-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) (((-1208)) . T)) ((($) . T)) @@ -3810,12 +3810,12 @@ (((#0=(-1285 |#1| |#2| |#3| |#4|)) |has| #0# (-321 #0#))) ((($) . T)) (((|#1|) . T)) -((($ $) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2| |#2|) |has| |#1| (-376)) ((|#1| |#1|) . T)) -(((|#1| |#1|) . T) (($ $) -2215 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2215 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376)))) +((($ $) -2217 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2217 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2| |#2|) |has| |#1| (-376)) ((|#1| |#1|) . T)) +(((|#1| |#1|) . 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T)) (((|#2| |#2|) . T) ((#0=(-421 (-560)) #0#) . T) (($ $) . T)) (((|#2|) . T) (((-421 (-560))) . T) (($) . T)) @@ -3886,7 +3886,7 @@ ((((-887)) . T)) ((((-887)) . T)) ((((-887)) . T)) -(-2215 (|has| |#1| (-240)) (|has| |#1| (-239))) +(-2217 (|has| |#1| (-240)) (|has| |#1| (-239))) (((|#1|) . T) (((-887)) . T) (((-1213)) . T)) ((((-1213)) . T)) ((((-887)) . T)) @@ -3895,21 +3895,21 @@ ((((-657 |#2|)) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) (((|#1| (-545 (-888 |#2|)) (-888 |#2|) (-802 |#1| (-888 |#2|))) . T)) -((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) +((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939)))) (((|#2|) . T) ((|#6|) . T)) ((($) . T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) ((($) . 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T)) ((((-1208)) -12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080)))) (|has| |#2| (-1080)) -(-2215 (-12 (|has| |#1| (-487)) (|has| |#2| (-487))) (-12 (|has| |#1| (-748)) (|has| |#2| (-748)))) +(-2217 (-12 (|has| |#1| (-487)) (|has| |#2| (-487))) (-12 (|has| |#1| (-748)) (|has| |#2| (-748)))) (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-376)) @@ -4010,7 +4010,7 @@ (((|#1| |#2|) . T)) ((((-560)) . T) ((|#2|) |has| |#2| (-175))) ((((-115)) . T) ((|#1|) . T) (((-560)) . T)) -(-2215 (|has| |#1| (-363)) (|has| |#1| (-381))) +(-2217 (|has| |#1| (-363)) (|has| |#1| (-381))) (((|#1| |#2|) . T)) ((((-229)) . T)) ((((-421 (-560))) . T) (($) . T) (((-560)) . T)) @@ -4019,11 +4019,11 @@ ((($) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (((-560)) |has| |#1| (-660 (-560)))) ((($) . T) (((-560)) |has| |#1| (-660 (-560))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (((|#2|) |has| |#2| (-1132)) (((-560)) -12 (|has| |#2| (-1069 (-560))) (|has| |#2| (-1132))) (((-421 (-560))) -12 (|has| |#2| (-1069 (-421 (-560)))) (|has| |#2| (-1132)))) -(-2215 (|has| |#2| (-240)) (|has| |#2| (-239))) +(-2217 (|has| |#2| (-240)) (|has| |#2| (-239))) (((|#1|) . T)) (((|#1|) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-871)) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-871)) (|has| |#1| (-1132)))) ((((-560) $) . T) (((-663 (-560)) $) . T)) ((($) . T) (((-421 (-560))) . T)) (|has| |#1| (-939)) @@ -4035,14 +4035,14 @@ (((|#1| |#1|) |has| |#1| (-175))) (((|#1|) . T) (((-560)) . T)) ((((-1213)) . T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2215 (|has| |#1| (-21)) (|has| |#1| (-870))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2217 (|has| |#1| (-21)) (|has| |#1| (-870))) (((|#2|) . T)) -(-2215 (|has| |#1| (-21)) (|has| |#1| (-870))) +(-2217 (|has| |#1| (-21)) (|has| |#1| (-870))) (((|#1|) |has| |#1| (-175))) (((|#1|) . T)) (((|#1|) . T)) -((((-887)) -2215 (-12 (|has| |#1| (-632 (-887))) (|has| |#2| (-632 (-887)))) (-12 (|has| |#1| (-1132)) (|has| |#2| (-1132))))) +((((-887)) -2217 (-12 (|has| |#1| (-632 (-887))) (|has| |#2| (-632 (-887)))) (-12 (|has| |#1| (-1132)) (|has| |#2| (-1132))))) ((((-421 |#2|) |#3|) . T)) ((((-421 (-560))) . T) (($) . T)) (|has| |#1| (-38 (-421 (-560)))) @@ -4051,7 +4051,7 @@ ((($) . T) (((-560)) . T)) (|has| (-421 |#2|) (-149)) (|has| (-421 |#2|) (-147)) -(-2215 (|has| |#3| (-815)) (|has| |#3| (-871))) +(-2217 (|has| |#3| (-815)) (|has| |#3| (-871))) ((($) . T)) ((((-721)) . T)) (((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T)) @@ -4067,7 +4067,7 @@ ((((-1213)) . T)) ((((-560)) . T)) (((|#2|) . T)) -((((-1208)) -2215 (-12 (|has| (-1206 |#1| |#2| |#3|) (-927 (-1208))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208)))))) +((((-1208)) -2217 (-12 (|has| (-1206 |#1| |#2| |#3|) (-927 (-1208))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208)))))) ((((-1208)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208))))) ((((-1208)) -12 (|has| |#1| (-15 * (|#1| (-793) |#1|))) (|has| |#1| (-927 (-1208))))) (((|#1| |#1|) . T) (($ $) . T)) @@ -4083,11 +4083,11 @@ ((((-1206 |#1| |#2| |#3|)) |has| |#1| (-376))) ((((-1171 |#1| |#2|)) . T)) ((((-1206 |#1| |#2| |#3|)) |has| |#1| (-376))) -(((|#2|) . T) (((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) -((((-2 (|:| -3829 (-1208)) (|:| -2710 (-51)))) . T)) +(((|#2|) . T) (((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) +((((-2 (|:| -3830 (-1208)) (|:| -2715 (-51)))) . T)) ((($) . T)) (|has| |#1| (-1051)) -(((|#2|) . T) (((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) ((($) . T)) ((((-887)) . T)) ((((-549)) |has| |#2| (-633 (-549))) (((-915 (-560))) |has| |#2| (-633 (-915 (-560)))) (((-915 (-391))) |has| |#2| (-633 (-915 (-391)))) (((-391)) . #0=(|has| |#2| (-1051))) (((-229)) . #0#)) @@ -4096,7 +4096,7 @@ (((|#1|) . T)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -((((-1208)) -2215 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) +((((-1208)) -2217 (|has| |#2| (-927 (-1208))) (|has| |#2| (-929 (-1208))))) ((((-887)) . T)) (((|#2|) . T)) ((((-887)) . T)) @@ -4106,15 +4106,15 @@ ((((-1206 |#1| |#2| |#3|)) . T)) ((((-1206 |#1| |#2| |#3|)) . T) (((-1199 |#1| |#2| |#3|)) . T)) ((((-887)) . T)) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) ((((-560) |#1|) . T)) ((((-1206 |#1| |#2| |#3|)) |has| |#1| (-376))) (((|#1| |#2| |#3| |#4|) . T)) (((|#1|) . T)) (((|#2|) . T)) (|has| |#2| (-376)) -(((|#3|) . T) ((|#2|) . T) ((|#4|) -2215 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-1080))) (($) |has| |#4| (-1080)) (((-560)) -12 (|has| |#4| (-660 (-560))) (|has| |#4| (-1080)))) -(((|#2|) . T) ((|#3|) -2215 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1080))) (($) |has| |#3| (-1080)) (((-560)) -12 (|has| |#3| (-660 (-560))) (|has| |#3| (-1080)))) +(((|#3|) . T) ((|#2|) . T) ((|#4|) -2217 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-1080))) (($) |has| |#4| (-1080)) (((-560)) -12 (|has| |#4| (-660 (-560))) (|has| |#4| (-1080)))) +(((|#2|) . T) ((|#3|) -2217 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1080))) (($) |has| |#3| (-1080)) (((-560)) -12 (|has| |#3| (-660 (-560))) (|has| |#3| (-1080)))) (((|#1|) . T)) (((|#1|) . T)) ((((-118 |#1|)) . T)) @@ -4128,7 +4128,7 @@ ((((-186)) . T) (((-887)) . T)) ((((-887)) . T)) (((|#1|) . T)) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) ((((-560) |#1|) . T) (((-1265 (-560)) $) . T)) ((((-887)) . T)) (((|#1|) . T)) @@ -4136,14 +4136,14 @@ (((|#1|) . T)) (((|#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) (($ $) . T) (((-560) |#1|) . T)) ((($ $) . T) (((-421 (-560)) |#1|) . T)) -(-2215 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-939))) +(-2217 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-939))) ((($ (-1208)) |has| |#1| (-1080))) -(-2215 (|has| |#1| (-871)) (|has| |#1| (-1132))) +(-2217 (|has| |#1| (-871)) (|has| |#1| (-1132))) ((((-887)) . T)) ((((-887)) . T)) ((((-887)) . T)) (((|#1| (-545 |#2|)) . T)) -((((-2 (|:| -3829 (-1208)) (|:| -2710 (-51)))) . T)) +((((-2 (|:| -3830 (-1208)) (|:| -2715 (-51)))) . T)) ((((-560) (-130)) . T)) (((|#1| (-560)) . T)) (((|#1| (-421 (-560))) . T)) @@ -4158,8 +4158,8 @@ ((((-1213)) . T)) ((((-887)) . T) (((-1213)) . T)) ((((-887)) . T) (((-1213)) . T)) -(-2215 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) -(-2215 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) +(-2217 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) +(-2217 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-939))) ((($) . T)) (((|#2| (-545 (-888 |#1|))) . T)) ((((-1213)) . T)) @@ -4174,7 +4174,7 @@ ((((-1213)) . T)) ((((-887)) . T) (((-1213)) . T)) ((((-1213)) . T)) -((((-887)) -2215 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) +((((-887)) -2217 (|has| |#1| (-632 (-887))) (|has| |#1| (-1132)))) (((|#1| |#2|) . T)) (((|#1|) . T)) ((((-1190) |#1|) . T)) @@ -4182,7 +4182,7 @@ ((((-421 |#2|)) . T)) (|has| |#1| (-571)) (|has| |#1| (-571)) -((((-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T)) +((((-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T)) (((|#2| (-793)) . T)) ((($) . T) ((|#2|) . T)) ((($) . T) (((-421 (-560))) . T)) @@ -4192,14 +4192,14 @@ ((((-560)) . T) (($) . 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T) (($) -2217 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-939))) (((-1113)) . T) ((|#2|) . T) (((-421 (-560))) -2217 (|has| |#2| (-38 (-421 (-560)))) (|has| |#2| (-1069 (-421 (-560)))))) +((((-1027 |#1|)) . T) ((|#1|) . T) (((-560)) -2217 (|has| (-1027 |#1|) (-1069 (-560))) (|has| |#1| (-1069 (-560)))) (((-421 (-560))) -2217 (|has| (-1027 |#1|) (-1069 (-421 (-560)))) (|has| |#1| (-1069 (-421 (-560)))))) ((((-935 |#1|)) . T) (((-421 (-560))) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132)))) @@ -4216,11 +4216,11 @@ (((|#1| |#2| |#3| |#4|) . T)) (((#0=(-1171 |#1| |#2|) #0#) |has| (-1171 |#1| |#2|) (-321 (-1171 |#1| |#2|)))) (((|#1|) . 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196913) ((-1202 . -670) 196802) ((-1156 . -670) 196691) ((-878 . -670) 196665) ((-740 . -632) 196647) ((-561 . -381) T) ((-1320 . -23) T) ((-716 . -929) NIL) ((-1319 . -23) T) ((-505 . -1132) T) ((-391 . -635) 196597) ((-391 . -637) 196579) ((-1065 . -1080) T) ((-889 . -102) T) ((-1220 . -298) 196558) ((-171 . -381) 196509) ((-1035 . -1248) T) ((-1002 . -1248) T) ((-943 . -1248) T) ((-856 . -635) 196463) ((-850 . -635) 196418) ((-44 . -23) T) ((-1328 . -102) T) ((-493 . -298) 196397) ((-597 . -1132) T) ((-1177 . -1140) 196366) ((-443 . -1248) T) ((-1134 . -1135) 196318) ((-404 . -21) T) ((-404 . -25) T) ((-154 . -1143) T) ((-1241 . -739) 196215) ((-1228 . -1132) T) ((-1035 . -909) 196197) ((-1035 . -911) 196179) ((-642 . -234) 196163) ((-642 . -274) 196147) ((-638 . -21) T) ((-301 . -571) T) ((-638 . -25) T) ((-1035 . -1069) 196107) ((-733 . -739) 196072) ((-246 . -390) 196041) ((-391 . -1080) T) ((-227 . -1088) T) ((-119 . -274) 196018) ((-119 . -234) 195995) ((-58 . -298) 195947) 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T) ((-530 . -19) 194521) ((-510 . -19) 194505) ((-58 . -618) 194482) ((-1034 . -239) 194419) ((-930 . -102) 194369) ((-878 . -748) T) ((-803 . -1132) T) ((-530 . -618) 194346) ((-510 . -618) 194323) ((-802 . -1132) T) ((-802 . -1096) 194290) ((-475 . -1132) T) ((-468 . -1132) T) ((-597 . -739) 194265) ((-671 . -1132) T) ((-1288 . -47) 194242) ((-1285 . -102) T) ((-1279 . -47) 194212) ((-1258 . -47) 194189) ((-1241 . -175) 194140) ((-1205 . -319) 194119) ((-1199 . -319) 194098) ((-1127 . -635) 194079) ((-1122 . -635) 194060) ((-1110 . -571) 194011) ((-1110 . -1253) 193962) ((-1104 . -635) 193943) ((-1035 . -927) NIL) ((-1097 . -635) 193924) ((-692 . -133) T) ((-646 . -1143) T) ((-1067 . -635) 193905) ((-1050 . -635) 193886) ((-736 . -1087) 193856) ((-734 . -921) 193759) ((-721 . -668) 193709) ((-286 . -1132) T) ((-86 . -455) T) ((-86 . -410) T) ((-733 . -175) T) ((-659 . -1087) 193693) ((-50 . -1132) T) ((-609 . -47) 193670) ((-229 . -670) 193635) ((-595 . -1132) T) ((-532 . -1132) T) 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T) ((-492 . -93) T) ((-421 . -239) 191161) ((-368 . -632) 191143) ((-366 . -632) 191125) ((-358 . -632) 191107) ((-275 . -633) 190855) ((-275 . -632) 190837) ((-255 . -632) 190819) ((-255 . -633) 190680) ((-140 . -93) T) ((-139 . -93) T) ((-135 . -93) T) ((-1172 . -632) 190662) ((-1151 . -662) 190649) ((-1151 . -1082) 190636) ((-841 . -748) T) ((-841 . -881) T) ((-616 . -300) 190613) ((-595 . -739) 190578) ((-493 . -633) NIL) ((-493 . -632) 190560) ((-532 . -739) 190505) ((-326 . -102) T) ((-325 . -102) T) ((-301 . -23) T) ((-154 . -133) T) ((-935 . -632) 190487) ((-935 . -633) 190469) ((-400 . -748) T) ((-896 . -1087) 190421) ((-896 . -111) 190359) ((-736 . -1080) T) ((-734 . -1274) 190343) ((-716 . -363) NIL) ((-115 . -102) T) ((-141 . -102) T) ((-137 . -102) T) ((-533 . -632) 190275) ((-391 . -819) T) ((-170 . -1248) T) ((-227 . -1132) T) ((-391 . -814) T) ((-58 . -633) 190236) ((-229 . -816) T) ((-229 . -813) T) ((-58 . -632) 190148) ((-229 . -748) T) ((-530 . -633) 190109) ((-530 . -632) 190021) ((-511 . -632) 189953) ((-510 . -633) 189914) ((-510 . -632) 189826) ((-1110 . -376) 189777) ((-40 . -426) 189754) ((-78 . -1248) T) ((-895 . -939) NIL) ((-372 . -341) 189738) ((-372 . -376) T) ((-367 . -341) 189722) ((-367 . -376) T) ((-359 . -341) 189706) ((-359 . -376) T) ((-326 . -296) 189685) ((-108 . -376) T) ((-70 . -1248) T) ((-661 . -1132) T) ((-1258 . -351) 189637) ((-895 . -670) 189582) ((-1258 . -390) 189534) ((-993 . -133) 189389) ((-837 . -133) 189260) ((-45 . -874) NIL) ((-987 . -673) 189244) ((-1257 . -684) T) ((-1118 . -175) 189155) ((-987 . -385) 189139) ((-1093 . -816) T) ((-1093 . -813) T) ((-896 . -635) 189037) ((-803 . -175) 188928) ((-802 . -175) 188839) ((-838 . -47) 188801) ((-1093 . -748) T) ((-339 . -503) 188785) ((-975 . -748) T) ((-1312 . -321) 188723) ((-1288 . -927) 188636) ((-468 . -175) 188547) ((-252 . -298) 188499) ((-1284 . -1087) 188334) ((-1279 . -927) 188240) ((-1263 . -1087) 188048) ((-495 . -748) T) ((-1258 . -927) 187881) 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186944) ((-1263 . -111) 186733) ((-252 . -1287) 186717) ((-560 . -870) T) ((-372 . -23) T) ((-353 . -363) T) ((-326 . -321) 186704) ((-325 . -321) 186645) ((-367 . -23) T) ((-331 . -133) T) ((-359 . -23) T) ((-1035 . -1051) T) ((-31 . -635) 186626) ((-108 . -23) T) ((-678 . -1082) 186610) ((-252 . -618) 186587) ((-661 . -739) 186571) ((-345 . -1132) T) ((-678 . -662) 186541) ((-1285 . -38) 186433) ((-1267 . -939) 186412) ((-114 . -1132) T) ((-838 . -1248) T) ((-427 . -1248) T) ((-1066 . -102) T) ((-1267 . -670) 186301) ((-895 . -816) NIL) ((-879 . -670) 186275) ((-895 . -813) NIL) ((-838 . -911) NIL) ((-895 . -748) T) ((-1118 . -528) 186148) ((-803 . -528) 186095) ((-802 . -528) 186047) ((-585 . -670) 186034) ((-838 . -1069) 185862) ((-468 . -528) 185805) ((-402 . -403) T) ((-1284 . -635) 185618) ((-1263 . -635) 185366) ((-60 . -1248) T) ((-638 . -871) 185345) ((-514 . -684) T) ((-1177 . -1007) 185314) ((-1055 . -668) 185251) ((-1034 . -466) T) ((-721 . -870) T) ((-525 . -814) T) 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-1132) T) ((-918 . -102) T) ((-803 . -302) 183568) ((-339 . -19) 183552) ((-58 . -300) 183529) ((-802 . -302) 183460) ((-879 . -748) T) ((-119 . -870) NIL) ((-530 . -300) 183437) ((-339 . -618) 183414) ((-510 . -300) 183391) ((-468 . -302) 183322) ((-1066 . -321) 183173) ((-900 . -504) 183154) ((-900 . -632) 183120) ((-703 . -504) 183101) ((-585 . -748) T) ((-698 . -504) 183082) ((-703 . -632) 183032) ((-698 . -632) 182998) ((-674 . -632) 182980) ((-492 . -504) 182961) ((-492 . -632) 182927) ((-252 . -633) 182888) ((-252 . -504) 182865) ((-140 . -504) 182846) ((-139 . -504) 182827) ((-135 . -504) 182808) ((-252 . -632) 182700) ((-216 . -102) T) ((-140 . -632) 182666) ((-139 . -632) 182632) ((-135 . -632) 182598) ((-1179 . -34) T) ((-972 . -1248) T) ((-357 . -739) 182543) ((-692 . -25) T) ((-692 . -21) T) ((-1208 . -635) 182524) ((-343 . -1248) T) ((-488 . -1080) T) ((-652 . -432) 182489) ((-620 . -432) 182454) ((-1151 . -1183) T) ((-1279 . -319) 182433) ((-734 . -1082) 182256) ((-595 . -302) T) ((-532 . -302) T) ((-1258 . -319) 182235) ((-488 . -240) 182187) ((-488 . -250) 182166) ((-453 . -1248) T) ((-734 . -662) 181995) ((-1258 . -1051) NIL) ((-1110 . -133) T) ((-896 . -819) 181974) ((-146 . -102) T) ((-40 . -1132) T) ((-896 . -814) 181953) ((-663 . -1041) 181937) ((-594 . -1088) T) ((-560 . -1088) T) ((-509 . -1088) T) ((-421 . -466) T) ((-372 . -133) T) ((-326 . -414) 181921) ((-325 . -414) 181882) ((-367 . -133) T) ((-359 . -133) T) ((-1213 . -1132) T) ((-1151 . -38) 181869) ((-1120 . -632) 181836) ((-108 . -133) T) ((-983 . -1132) T) ((-948 . -1132) T) ((-793 . -1132) T) ((-694 . -1132) T) ((-723 . -149) T) ((-623 . -102) T) ((-118 . -149) T) ((-1320 . -21) T) ((-1320 . -25) T) ((-1319 . -21) T) ((-1319 . -25) T) ((-686 . -1087) 181820) ((-545 . -871) T) ((-514 . -871) T) ((-377 . -1248) T) ((-368 . -1087) 181772) ((-366 . -1087) 181724) ((-358 . -1087) 181676) ((-260 . -1248) T) ((-259 . -1248) T) ((-275 . -1087) 181519) ((-255 . -1087) 181362) ((-686 . -111) 181341) ((-839 . -1253) 181320) ((-562 . -866) T) ((-326 . -929) 181286) ((-368 . -111) 181224) ((-366 . -111) 181162) ((-358 . -111) 181100) ((-275 . -111) 180929) ((-255 . -111) 180758) ((-325 . -929) NIL) ((-642 . -426) 180742) ((-44 . -21) T) ((-44 . -25) T) ((-931 . -874) 180693) ((-130 . -684) T) ((-837 . -660) 180599) ((-839 . -571) 180578) ((-501 . -874) T) ((-260 . -1069) 180405) ((-259 . -1069) 180232) ((-128 . -121) 180216) ((-221 . -874) T) ((-935 . -1087) 180181) ((-734 . -102) T) ((-721 . -1088) T) ((-611 . -635) 180162) ((-600 . -635) 180143) ((-549 . -637) 180046) ((-357 . -175) T) ((-154 . -21) T) ((-154 . -25) T) ((-87 . -632) 180028) ((-935 . -111) 179984) ((-40 . -739) 179929) ((-893 . -1132) T) ((-686 . -635) 179906) ((-667 . -635) 179887) ((-368 . -635) 179824) ((-366 . -635) 179761) ((-358 . -635) 179698) ((-562 . -1132) T) ((-339 . -633) 179659) ((-339 . -632) 179571) ((-275 . -635) 179324) ((-255 . -635) 179109) ((-190 . -1248) T) ((-1263 . -814) 179062) 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177526) ((-1085 . -23) T) ((-1055 . -870) T) ((-935 . -1080) T) ((-334 . -670) 177508) ((-723 . -239) T) ((-692 . -236) 177453) ((-1205 . -950) 177432) ((-1199 . -950) 177411) ((-1199 . -842) NIL) ((-1027 . -1082) 177307) ((-996 . -1248) T) ((-935 . -250) T) ((-839 . -376) 177286) ((-218 . -1132) T) ((-394 . -23) T) ((-129 . -1132) 177264) ((-123 . -1132) 177242) ((-935 . -240) T) ((-131 . -34) T) ((-391 . -670) 177207) ((-1027 . -662) 177155) ((-893 . -739) 177142) ((-1328 . -668) 177114) ((-1077 . -153) 177079) ((-1024 . -1248) T) ((-887 . -1248) T) ((-40 . -175) T) ((-716 . -426) 177061) ((-734 . -321) 177048) ((-856 . -670) 177008) ((-850 . -670) 176982) ((-331 . -25) T) ((-331 . -21) T) ((-676 . -298) 176961) ((-594 . -1132) T) ((-560 . -1132) T) ((-509 . -1132) T) ((-1202 . -1248) T) ((-252 . -300) 176938) ((-1156 . -1248) T) ((-878 . -1248) T) ((-325 . -274) 176899) ((-325 . -234) 176860) ((-1254 . -874) T) ((-1202 . -911) NIL) ((-55 . -1132) T) ((-1156 . -911) 176719) ((-130 . -871) T) ((-1202 . -1069) 176599) ((-1156 . -1069) 176482) ((-187 . -632) 176464) ((-878 . -1069) 176360) ((-803 . -298) 176287) ((-839 . -1143) T) ((-1065 . -748) T) ((-1077 . -1007) 176216) ((-616 . -673) 176200) ((-1034 . -921) 176107) ((-1027 . -102) T) ((-839 . -23) T) ((-734 . -1183) 176085) ((-716 . -1088) T) ((-616 . -385) 176069) ((-365 . -466) T) ((-357 . -302) T) ((-1301 . -1132) T) ((-256 . -1132) T) ((-413 . -102) T) ((-301 . -21) T) ((-301 . -25) T) ((-374 . -748) T) ((-732 . -1132) T) ((-721 . -1132) T) ((-374 . -487) T) ((-1241 . -632) 176051) ((-1202 . -390) 176035) ((-1156 . -390) 176019) ((-1055 . -426) 175981) ((-143 . -233) 175963) ((-391 . -816) T) ((-391 . -813) T) ((-893 . -175) T) ((-391 . -748) T) ((-733 . -632) 175945) ((-734 . -38) 175774) ((-1298 . -1297) 175758) ((-365 . -416) T) ((-1298 . -1132) 175708) ((-1222 . -1132) T) ((-594 . -739) 175695) ((-560 . -739) 175682) ((-509 . -739) 175647) ((-1285 . -668) 175537) ((-326 . -649) 175516) ((-856 . -748) T) 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T) ((-900 . -635) 174698) ((-736 . -670) 174658) ((-501 . -1253) T) ((-703 . -635) 174639) ((-698 . -635) 174620) ((-659 . -670) 174604) ((-221 . -1253) T) ((-421 . -921) 174525) ((-229 . -1069) 174485) ((-40 . -302) T) ((-501 . -571) T) ((-492 . -635) 174466) ((-372 . -25) T) ((-326 . -668) 174121) ((-325 . -668) 174035) ((-372 . -21) T) ((-367 . -25) T) ((-367 . -21) T) ((-221 . -571) T) ((-359 . -25) T) ((-359 . -21) T) ((-331 . -236) 173981) ((-252 . -635) 173958) ((-140 . -635) 173939) ((-139 . -635) 173920) ((-135 . -635) 173901) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1088) T) ((-594 . -175) T) ((-560 . -175) T) ((-509 . -175) T) ((-1093 . -1248) T) ((-975 . -1248) T) ((-735 . -1248) T) ((-661 . -298) 173868) ((-676 . -632) 173850) ((-495 . -1248) T) ((-758 . -759) 173834) ((-346 . -632) 173816) ((-68 . -396) T) ((-68 . -410) T) ((-1128 . -107) 173800) ((-1093 . -911) 173782) ((-975 . -911) 173707) ((-677 . -1143) T) ((-642 . -739) 173694) ((-495 . -911) NIL) ((-1177 . -102) T) ((-1120 . -637) 173678) ((-1093 . -1069) 173660) ((-97 . -632) 173642) ((-491 . -149) T) ((-975 . -1069) 173522) ((-119 . -739) 173467) ((-734 . -929) 173374) ((-677 . -23) T) ((-495 . -1069) 173250) ((-1118 . -633) NIL) ((-1118 . -632) 173232) ((-803 . -633) NIL) ((-803 . -632) 173193) ((-802 . -633) 172827) ((-802 . -632) 172741) ((-1144 . -660) 172647) ((-820 . -874) 172626) ((-475 . -632) 172608) ((-468 . -632) 172590) ((-468 . -633) 172451) ((-1066 . -233) 172397) ((-896 . -939) 172376) ((-128 . -34) T) ((-839 . -133) T) ((-671 . -632) 172358) ((-592 . -102) T) ((-368 . -1317) 172342) ((-366 . -1317) 172326) ((-358 . -1317) 172310) ((-123 . -528) 172243) ((-129 . -528) 172176) ((-526 . -814) T) ((-526 . -819) T) ((-525 . -816) T) ((-103 . -321) 172114) ((-226 . -102) 172064) ((-721 . -175) T) ((-716 . -1132) T) ((-896 . -670) 171980) ((-65 . -398) T) ((-286 . -632) 171962) ((-65 . -410) T) ((-975 . -390) 171946) ((-893 . -302) T) ((-50 . -632) 171928) ((-1151 . -668) 171900) 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169722) ((-359 . -236) 169695) ((-177 . -466) T) ((-82 . -455) T) ((-226 . -321) 169633) ((-82 . -410) T) ((-227 . -632) 169615) ((-108 . -236) 169602) ((-221 . -23) T) ((-1323 . -1318) 169581) ((-699 . -1069) 169565) ((-594 . -302) T) ((-560 . -302) T) ((-509 . -302) T) ((-1267 . -1248) T) ((-137 . -484) 169520) ((-879 . -1248) T) ((-678 . -668) 169479) ((-48 . -1132) T) ((-734 . -274) 169463) ((-734 . -234) 169447) ((-895 . -927) NIL) ((-585 . -1248) T) ((-1267 . -911) NIL) ((-913 . -102) T) ((-910 . -102) T) ((-661 . -632) 169429) ((-402 . -1132) T) ((-171 . -390) 169413) ((-171 . -351) 169397) ((-1267 . -1069) 169277) ((-879 . -1069) 169173) ((-1173 . -102) T) ((-1027 . -929) 169096) ((-677 . -133) T) ((-674 . -814) 169075) ((-674 . -819) 169054) ((-119 . -528) 168962) ((-585 . -1069) 168944) ((-305 . -1306) 168914) ((-1199 . -874) NIL) ((-890 . -102) T) ((-985 . -571) 168893) ((-1241 . -1087) 168776) ((-1034 . -1082) 168721) ((-496 . -660) 168627) ((-934 . -1132) T) ((-1055 . -739) 168564) ((-733 . -1087) 168529) ((-1034 . -662) 168474) ((-636 . -102) T) ((-616 . -34) T) ((-1179 . -1248) T) ((-1241 . -111) 168343) ((-488 . -670) 168240) ((-353 . -739) 168185) ((-171 . -927) 168144) ((-721 . -302) T) ((-716 . -175) T) ((-733 . -111) 168100) ((-1328 . -1088) T) ((-1267 . -390) 168084) ((-419 . -1253) 168062) ((-1146 . -632) 168044) ((-325 . -870) NIL) ((-419 . -571) T) ((-229 . -319) T) ((-1263 . -813) 167997) ((-1263 . -816) 167950) ((-1284 . -748) T) ((-1263 . -748) T) ((-48 . -739) 167915) ((-229 . -1051) T) ((-1285 . -426) 167881) ((-1267 . -927) 167824) ((-365 . -1306) 167801) ((-1241 . -635) 167683) ((-740 . -748) T) ((-345 . -632) 167665) ((-534 . -874) 167644) ((-1144 . -236) 167535) ((-114 . -632) 167517) ((-114 . -633) 167499) ((-740 . -487) T) ((-733 . -635) 167449) ((-1322 . -1082) 167433) ((-496 . -25) 167266) ((-129 . -503) 167250) ((-123 . -503) 167234) ((-496 . -21) 167145) ((-1322 . -662) 167115) ((-642 . -302) T) ((-597 . -1087) 167090) 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-1248) T) ((-48 . -175) T) ((-723 . -401) T) ((-723 . -145) T) ((-1322 . -102) T) ((-1230 . -1248) T) ((-1228 . -635) 166423) ((-1119 . -1248) T) ((-1118 . -1087) 166266) ((-1106 . -1248) T) ((-275 . -939) 166245) ((-255 . -939) 166224) ((-803 . -1087) 166047) ((-802 . -1087) 165890) ((-627 . -1248) T) ((-1196 . -632) 165872) ((-1118 . -111) 165701) ((-1077 . -102) T) ((-489 . -1248) T) ((-475 . -1087) 165672) ((-468 . -1087) 165515) ((-686 . -670) 165499) ((-895 . -319) T) ((-803 . -111) 165308) ((-802 . -111) 165137) ((-368 . -670) 165089) ((-366 . -670) 165041) ((-358 . -670) 164993) ((-275 . -670) 164882) ((-255 . -670) 164771) ((-1190 . -871) T) ((-1119 . -1069) 164755) ((-1106 . -1069) 164732) ((-1035 . -874) T) ((-1031 . -34) T) ((-475 . -111) 164693) ((-468 . -111) 164522) ((-1002 . -874) T) ((-995 . -632) 164504) ((-987 . -1248) T) ((-985 . -1143) T) ((-128 . -1041) 164488) ((-872 . -1248) T) ((-895 . -1051) NIL) ((-757 . -1143) T) ((-737 . -1143) T) ((-676 . -635) 164406) ((-1298 . -503) 164390) ((-1216 . -1248) T) ((-1215 . -1248) T) ((-1173 . -38) 164350) ((-985 . -23) T) ((-935 . -670) 164315) ((-889 . -1132) T) ((-864 . -102) T) ((-839 . -21) T) ((-652 . -1082) 164299) ((-620 . -1082) 164283) ((-839 . -25) T) ((-757 . -23) T) ((-737 . -23) T) ((-652 . -662) 164267) ((-110 . -684) T) ((-620 . -662) 164251) ((-595 . -1087) 164216) ((-532 . -1087) 164161) ((-231 . -57) 164119) ((-467 . -23) T) ((-421 . -102) T) ((-1214 . -1248) T) ((-270 . -102) T) ((-110 . -113) T) ((-716 . -302) T) ((-890 . -38) 164089) ((-1118 . -635) 163825) ((-595 . -111) 163781) ((-532 . -111) 163710) ((-419 . -1143) T) ((-326 . -1088) 163600) ((-325 . -1088) T) ((-132 . -1248) T) ((-131 . -1248) T) ((-803 . -635) 163348) ((-802 . -635) 163114) ((-676 . -1080) T) ((-1328 . -1132) T) ((-468 . -635) 162899) ((-171 . -319) 162830) ((-419 . -23) T) ((-40 . -632) 162812) ((-40 . -633) 162796) ((-108 . -1022) 162778) ((-118 . -894) 162762) ((-671 . -635) 162746) ((-48 . -528) 162712) 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-1132) T) ((-421 . -321) 161010) ((-1173 . -929) 160933) ((-893 . -632) 160915) ((-856 . -1069) 160884) ((-661 . -1087) 160868) ((-206 . -809) T) ((-205 . -809) T) ((-204 . -809) T) ((-203 . -809) T) ((-202 . -809) T) ((-201 . -809) T) ((-200 . -809) T) ((-199 . -809) T) ((-198 . -809) T) ((-197 . -809) T) ((-562 . -632) 160850) ((-509 . -1033) T) ((-285 . -861) T) ((-284 . -861) T) ((-283 . -861) T) ((-282 . -861) T) ((-48 . -302) T) ((-281 . -861) T) ((-280 . -861) T) ((-279 . -861) T) ((-196 . -809) T) ((-661 . -111) 160829) ((-630 . -871) T) ((-678 . -426) 160813) ((-692 . -239) 160764) ((-227 . -635) 160726) ((-110 . -871) T) ((-677 . -21) T) ((-677 . -25) T) ((-1322 . -38) 160696) ((-119 . -298) 160647) ((-1298 . -19) 160631) ((-1258 . -874) NIL) ((-1298 . -618) 160608) ((-1312 . -1132) T) ((-365 . -1082) 160553) ((-1108 . -1132) T) ((-1017 . -1132) T) ((-985 . -133) T) ((-839 . -236) 160540) ((-758 . -1132) T) ((-365 . -662) 160485) ((-757 . -133) T) ((-737 . -133) T) ((-526 . -815) T) ((-526 . -816) T) ((-467 . -133) T) ((-421 . -1183) 160463) ((-227 . -1080) T) ((-305 . -102) 160245) ((-143 . -1132) T) ((-721 . -1033) T) ((-1136 . -298) 160201) ((-91 . -1248) T) ((-218 . -632) 160183) ((-129 . -632) 160115) ((-123 . -632) 160047) ((-1328 . -175) T) ((-1205 . -376) 160026) ((-1199 . -376) 160005) ((-326 . -1132) T) ((-419 . -133) T) ((-325 . -1132) T) ((-421 . -38) 159957) ((-1164 . -102) T) ((-1285 . -739) 159849) ((-1166 . -1294) T) ((-1127 . -1248) T) ((-1122 . -1248) T) ((-678 . -1088) T) ((-1104 . -1248) T) ((-1097 . -1248) T) ((-1067 . -1248) T) ((-1050 . -1248) T) ((-331 . -147) 159828) ((-331 . -149) 159807) ((-141 . -1132) T) ((-137 . -1132) T) ((-115 . -1132) T) ((-882 . -102) T) ((-645 . -1248) T) ((-497 . -1248) T) ((-594 . -632) 159789) ((-560 . -633) 159688) ((-560 . -632) 159670) ((-509 . -632) 159652) ((-509 . -633) 159597) ((-499 . -23) T) ((-222 . -1248) T) ((-496 . -871) 159548) ((-501 . -660) 159530) ((-994 . -632) 159512) ((-1034 . 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-1132) 146013) ((-1256 . -866) T) ((-331 . -1004) 145975) ((-105 . -102) T) ((-48 . -1087) 145940) ((-895 . -874) NIL) ((-1323 . -102) T) ((-395 . -102) T) ((-1285 . -632) 145922) ((-1164 . -1165) 145906) ((-1035 . -660) 145888) ((-900 . -1248) T) ((-48 . -111) 145844) ((-703 . -1248) T) ((-698 . -1248) T) ((-674 . -1248) T) ((-837 . -921) 145711) ((-492 . -1248) T) ((-252 . -1248) T) ((-545 . -102) T) ((-514 . -102) T) ((-154 . -1306) 145695) ((-140 . -1248) T) ((-139 . -1248) T) ((-135 . -1248) T) ((-1249 . -102) T) ((-1055 . -635) 145632) ((-839 . -239) T) ((-1202 . -1253) 145611) ((-218 . -381) T) ((-353 . -635) 145541) ((-1156 . -1253) 145520) ((-246 . -25) 145353) ((-246 . -21) 145264) ((-129 . -121) 145248) ((-123 . -121) 145232) ((-44 . -766) 145216) ((-1202 . -571) 145127) ((-1156 . -571) 145058) ((-1256 . -1132) T) ((-561 . -874) T) ((-1066 . -298) 145033) ((-1198 . -1114) T) ((-1025 . -1114) T) ((-838 . -133) T) ((-119 . -819) NIL) ((-119 . -814) NIL) ((-368 . -319) T) 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143042) ((-1220 . -107) 142992) ((-669 . -153) 142976) ((-651 . -153) 142922) ((-118 . -668) 142894) ((-493 . -1225) 142873) ((-501 . -149) T) ((-501 . -147) NIL) ((-1151 . -633) 142788) ((-452 . -632) 142770) ((-221 . -149) T) ((-221 . -147) NIL) ((-1151 . -632) 142752) ((-130 . -102) T) ((-51 . -102) T) ((-1258 . -660) 142704) ((-493 . -107) 142654) ((-1024 . -23) T) ((-1323 . -38) 142624) ((-1202 . -1143) T) ((-1156 . -1143) T) ((-1093 . -1253) T) ((-246 . -236) 142515) ((-324 . -102) T) ((-878 . -1143) T) ((-975 . -1253) 142494) ((-495 . -1253) 142473) ((-1093 . -571) T) ((-975 . -571) 142404) ((-1202 . -23) T) ((-1184 . -1114) T) ((-1156 . -23) T) ((-878 . -23) T) ((-495 . -571) 142335) ((-1173 . -739) 142267) ((-692 . -1082) 142251) ((-1177 . -528) 142184) ((-692 . -662) 142168) ((-1066 . -633) NIL) ((-1066 . -632) 142150) ((-96 . -1114) T) ((-1328 . -1087) 142137) ((-890 . -739) 142107) ((-1328 . -111) 142092) ((-1241 . -47) 142061) ((-1199 . -871) NIL) ((-260 . -133) T) ((-259 . -133) T) ((-1134 . -1132) T) ((-1034 . -1132) T) ((-63 . -632) 142043) ((-1110 . -921) 141912) ((-1055 . -814) T) ((-1055 . -819) T) ((-1288 . -25) T) ((-1288 . -21) T) ((-1279 . -21) T) ((-1279 . -25) T) ((-893 . -670) 141899) ((-1258 . -21) T) ((-1258 . -25) T) ((-1058 . -153) 141883) ((-1035 . -236) 141870) ((-896 . -842) 141849) ((-896 . -950) T) ((-734 . -298) 141776) ((-610 . -21) T) ((-352 . -668) 141735) ((-108 . -921) NIL) ((-610 . -25) T) ((-609 . -21) T) ((-177 . -668) 141652) ((-40 . -748) T) ((-226 . -528) 141585) ((-609 . -25) T) ((-490 . -153) 141569) ((-477 . -153) 141553) ((-187 . -1248) T) ((-948 . -816) T) ((-948 . -748) T) ((-793 . -815) T) ((-793 . -816) T) ((-520 . -1132) T) ((-516 . -1132) T) ((-793 . -748) T) ((-229 . -376) T) ((-1320 . -1082) 141537) ((-1319 . -1082) 141521) ((-1320 . -662) 141491) ((-1186 . -1132) 141469) ((-895 . -1253) T) ((-1319 . -662) 141439) ((-1119 . -874) T) ((-678 . -632) 141421) ((-895 . -571) T) ((-716 . -381) NIL) ((-44 . -1082) 141405) ((-1328 . -635) 141387) ((-1322 . -1132) T) ((-692 . -102) T) ((-372 . -1306) 141371) ((-367 . -1306) 141355) ((-44 . -662) 141339) ((-359 . -1306) 141323) ((-563 . -102) T) ((-1241 . -1248) T) ((-534 . -871) 141302) ((-733 . -1248) T) ((-987 . -874) 141281) ((-872 . -874) T) ((-501 . -239) T) ((-221 . -239) T) ((-1077 . -1132) T) ((-839 . -466) 141260) ((-154 . -1082) 141244) ((-1077 . -1102) 141173) ((-1058 . -1007) 141142) ((-841 . -1143) T) ((-1034 . -739) 141087) ((-154 . -662) 141071) ((-400 . -1143) T) ((-490 . -1007) 141040) ((-477 . -1007) 141009) ((-1215 . -874) T) ((-110 . -153) 140991) ((-73 . -632) 140973) ((-918 . -632) 140955) ((-1214 . -874) T) ((-1110 . -746) 140934) ((-1328 . -1080) T) ((-838 . -660) 140882) ((-305 . -1088) 140824) ((-171 . -1253) 140729) ((-229 . -1143) T) ((-336 . -23) T) ((-1199 . -1022) 140681) ((-1285 . -1087) 140586) ((-864 . -1132) T) ((-131 . -874) T) ((-1157 . -762) 140565) ((-1284 . -950) 140544) ((-1263 . -950) 140523) ((-893 . -748) T) ((-171 . -571) 140434) ((-594 . -670) 140421) ((-560 . -670) 140393) ((-421 . -1132) T) ((-270 . -1132) T) ((-216 . -632) 140375) ((-509 . -670) 140325) ((-229 . -23) T) ((-1263 . -842) 140278) ((-1320 . -102) T) ((-505 . -1248) T) ((-353 . -1317) 140255) ((-1319 . -102) T) ((-1285 . -111) 140147) ((-1144 . -921) 140014) ((-837 . -1082) 139915) ((-837 . -662) 139837) ((-146 . -632) 139819) ((-1024 . -133) T) ((-44 . -102) T) ((-246 . -871) 139770) ((-597 . -1248) T) ((-1267 . -1253) 139749) ((-103 . -503) 139733) ((-1322 . -739) 139703) ((-1118 . -47) 139664) ((-1093 . -1143) T) ((-975 . -1143) T) ((-129 . -34) T) ((-123 . -34) T) ((-1267 . -571) 139575) ((-803 . -47) 139552) ((-802 . -47) 139524) ((-1228 . -1248) T) ((-1202 . -133) T) ((-353 . -381) T) ((-495 . -1143) T) ((-1156 . -133) T) ((-895 . -376) T) ((-468 . -47) 139503) ((-878 . -133) T) ((-334 . -874) 139482) ((-154 . -102) T) ((-1093 . -23) T) ((-975 . -23) T) ((-585 . -571) T) ((-838 . -25) T) ((-838 . -21) T) 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137363) ((-1118 . -1248) T) ((-1066 . -300) 137338) ((-594 . -748) T) ((-560 . -816) T) ((-171 . -376) 137289) ((-560 . -813) T) ((-560 . -748) T) ((-509 . -748) T) ((-803 . -1248) T) ((-802 . -1248) T) ((-1177 . -503) 137273) ((-475 . -1248) T) ((-468 . -1248) T) ((-1320 . -1321) 137249) ((-1118 . -911) NIL) ((-895 . -1143) T) ((-119 . -939) NIL) ((-1319 . -1321) 137228) ((-671 . -1248) T) ((-803 . -911) NIL) ((-802 . -911) 137087) ((-1314 . -25) T) ((-1314 . -21) T) ((-1246 . -102) 137065) ((-1137 . -410) T) ((-642 . -670) 137052) ((-468 . -911) NIL) ((-697 . -102) 137002) ((-1118 . -1069) 136829) ((-895 . -23) T) ((-803 . -1069) 136688) ((-802 . -1069) 136545) ((-119 . -670) 136490) ((-468 . -1069) 136366) ((-286 . -1248) T) ((-326 . -635) 135930) ((-325 . -635) 135813) ((-50 . -1248) T) ((-404 . -668) 135782) ((-671 . -1069) 135766) ((-646 . -102) T) ((-595 . -1248) T) ((-532 . -1248) T) ((-226 . -503) 135750) ((-1298 . -34) T) ((-638 . -668) 135709) ((-301 . -1082) 135696) ((-137 . -635) 135680) ((-301 . -662) 135667) ((-652 . -739) 135651) ((-620 . -739) 135635) ((-692 . -38) 135595) ((-331 . -102) T) ((-1151 . -1087) 135582) ((-86 . -632) 135564) ((-50 . -1069) 135548) ((-1118 . -390) 135532) ((-803 . -390) 135516) ((-721 . -748) T) ((-721 . -816) T) ((-721 . -813) T) ((-60 . -57) 135478) ((-595 . -1069) 135465) ((-532 . -1069) 135442) ((-174 . -1248) T) ((-336 . -133) T) ((-326 . -1080) 135332) ((-325 . -1080) T) ((-171 . -1143) T) ((-802 . -390) 135316) ((-45 . -153) 135266) ((-1035 . -1022) 135248) ((-468 . -390) 135232) ((-421 . -175) T) ((-326 . -250) 135211) ((-325 . -250) T) ((-325 . -240) NIL) ((-305 . -1132) 134993) ((-229 . -133) T) ((-1151 . -111) 134978) ((-171 . -23) T) ((-820 . -149) 134957) ((-820 . -147) 134936) ((-260 . -660) 134842) ((-259 . -660) 134748) ((-331 . -296) 134714) ((-1186 . -528) 134647) ((-491 . -668) 134597) ((-657 . -866) T) ((-496 . -921) 134464) ((-1164 . -1132) T) ((-229 . -1091) T) ((-837 . -321) 134402) ((-1118 . -927) 134337) ((-803 . -927) 134280) ((-802 . -927) 134264) ((-1320 . -38) 134234) ((-1319 . -38) 134204) ((-1267 . -1143) T) ((-879 . -1143) T) ((-468 . -927) 134181) ((-882 . -1132) T) ((-1267 . -23) T) ((-1151 . -635) 134153) ((-1093 . -133) T) ((-879 . -23) T) ((-585 . -1143) T) ((-642 . -748) T) ((-525 . -874) T) ((-368 . -950) T) ((-366 . -950) T) ((-301 . -102) T) ((-358 . -950) T) ((-1001 . -1114) T) ((-975 . -133) T) ((-838 . -236) 134098) ((-119 . -816) NIL) ((-119 . -813) NIL) ((-119 . -748) T) ((-1077 . -528) 133999) ((-716 . -939) NIL) ((-585 . -23) T) ((-495 . -133) T) ((-419 . -239) 133950) ((-697 . -321) 133888) ((-227 . -1248) T) ((-657 . -1132) T) ((-652 . -783) T) ((-620 . -783) T) ((-1258 . -871) NIL) ((-1110 . -1082) 133798) ((-1034 . -302) T) ((-716 . -670) 133748) ((-260 . -25) T) ((-365 . -1132) T) ((-260 . -21) T) ((-259 . -25) T) ((-259 . -21) T) ((-154 . -38) 133732) ((-2 . -102) T) ((-935 . -950) T) ((-1110 . -662) 133600) ((-496 . -1306) 133570) ((-1151 . -1080) T) ((-733 . -319) T) ((-723 . -1088) T) ((-372 . -1082) 133522) ((-367 . -1082) 133474) ((-359 . -1082) 133426) ((-372 . -662) 133378) ((-227 . -1069) 133355) ((-367 . -662) 133307) ((-108 . -1082) 133257) ((-359 . -662) 133209) ((-305 . -739) 133151) ((-661 . -1248) T) ((-501 . -466) T) ((-421 . -528) 133063) ((-108 . -662) 133013) ((-221 . -466) T) ((-1151 . -240) T) ((-307 . -153) 132963) ((-1027 . -633) 132924) ((-1027 . -632) 132906) ((-1020 . -632) 132888) ((-118 . -1088) T) ((-678 . -1087) 132872) ((-229 . -507) T) ((-413 . -632) 132854) ((-413 . -633) 132831) ((-1085 . -1306) 132801) ((-678 . -111) 132780) ((-692 . -929) 132703) ((-1173 . -503) 132687) ((-1323 . -668) 132646) ((-395 . -668) 132615) ((-64 . -455) T) ((-64 . -410) T) ((-1191 . -102) T) ((-895 . -133) T) ((-498 . -102) 132565) ((-1146 . -1248) T) ((-1255 . -874) T) ((-1328 . -381) T) ((-1110 . -102) T) ((-1092 . -102) T) ((-365 . -739) 132510) ((-896 . -874) 132461) ((-753 . -149) 132440) ((-753 . -147) 132419) 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131166) ((-1190 . -102) T) ((-1267 . -133) T) ((-1263 . -874) 131065) ((-1202 . -25) T) ((-1202 . -21) T) ((-1191 . -321) 130860) ((-357 . -1248) T) ((-1156 . -25) T) ((-879 . -133) T) ((-407 . -1248) T) ((-1156 . -21) T) ((-878 . -25) T) ((-878 . -21) T) ((-803 . -319) 130839) ((-1186 . -503) 130823) ((-1182 . -153) 130773) ((-1177 . -632) 130735) ((-669 . -102) 130685) ((-651 . -102) T) ((-1177 . -633) 130646) ((-585 . -133) T) ((-638 . -870) 130625) ((-1055 . -813) T) ((-1055 . -816) T) ((-1055 . -748) T) ((-837 . -929) 130494) ((-734 . -1087) 130317) ((-616 . -874) 130296) ((-498 . -321) 130234) ((-467 . -432) 130204) ((-365 . -175) T) ((-301 . -38) 130191) ((-260 . -236) 130082) ((-259 . -236) 129973) ((-285 . -102) T) ((-284 . -102) T) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-357 . -1069) 129950) ((-279 . -102) T) ((-215 . -102) T) ((-214 . -102) T) ((-212 . -102) T) ((-211 . -102) T) ((-210 . -102) T) ((-209 . -102) T) ((-206 . -102) T) ((-205 . -102) T) ((-204 . -102) T) ((-203 . -102) T) ((-202 . -102) T) ((-201 . -102) T) ((-200 . -102) T) ((-199 . -102) T) ((-198 . -102) T) ((-197 . -102) T) ((-196 . -102) T) ((-734 . -111) 129759) ((-353 . -748) T) ((-692 . -274) 129743) ((-692 . -234) 129727) ((-595 . -319) T) ((-532 . -319) T) ((-305 . -528) 129676) ((-1196 . -1248) T) ((-108 . -321) NIL) ((-72 . -410) T) ((-1144 . -102) 129408) ((-854 . -426) 129392) ((-1151 . -819) T) ((-1151 . -814) T) ((-723 . -1132) T) ((-592 . -632) 129374) ((-391 . -376) T) ((-171 . -507) 129352) ((-226 . -632) 129284) ((-136 . -1132) T) ((-118 . -1132) T) ((-995 . -1248) T) ((-48 . -748) T) ((-1077 . -503) 129249) ((-143 . -440) 129231) ((-143 . -381) T) ((-1058 . -102) T) ((-524 . -523) 129210) ((-734 . -635) 128966) ((-1256 . -632) 128948) ((-1213 . -1248) T) ((-1213 . -1069) 128884) ((-1206 . -239) 128843) ((-490 . -102) T) ((-477 . -102) T) ((-1205 . -239) 128795) ((-1199 . -239) 128618) ((-1065 . -1143) T) ((-331 . -929) 128524) ((-1208 . -874) T) ((-1206 . -35) 128490) ((-1206 . -95) 128456) ((-1206 . -1237) 128422) ((-1206 . -1234) 128388) ((-1205 . -1234) 128354) ((-1205 . -1237) 128320) ((-1205 . -95) 128286) ((-1205 . -35) 128252) ((-1199 . -1234) 128218) ((-1199 . -1237) 128184) ((-1190 . -321) NIL) ((-89 . -411) T) ((-89 . -410) T) ((-1110 . -1183) 128163) ((-40 . -1248) T) ((-1199 . -95) 128129) ((-1065 . -23) T) ((-1199 . -35) 128095) ((-585 . -507) T) ((-1157 . -35) 128061) ((-1157 . -95) 128027) ((-1157 . -1237) 127993) ((-1157 . -1234) 127959) ((-374 . -1143) T) ((-372 . -1183) 127938) ((-367 . -1183) 127917) ((-359 . -1183) 127896) ((-1134 . -298) 127852) ((-983 . -1248) T) ((-948 . -1248) T) ((-108 . -1183) T) ((-854 . -1088) 127831) ((-793 . -1248) T) ((-669 . -321) 127769) ((-651 . -321) 127620) ((-694 . -1248) T) ((-734 . -1080) T) ((-1093 . -660) 127602) ((-1110 . -38) 127470) ((-975 . -660) 127418) ((-1035 . -149) T) ((-1035 . -147) NIL) ((-391 . -1143) T) ((-336 . -25) T) ((-334 . -23) T) ((-972 . -871) 127397) ((-734 . -338) 127374) ((-495 . -660) 127322) ((-40 . -1069) 127210) ((-734 . -240) T) ((-723 . -739) 127197) ((-352 . -1132) T) ((-177 . -1132) T) ((-343 . -871) T) ((-419 . -466) 127147) ((-391 . -23) T) ((-372 . -38) 127112) ((-367 . -38) 127077) ((-359 . -38) 127042) ((-80 . -455) T) ((-80 . -410) T) ((-229 . -25) T) ((-229 . -21) T) ((-856 . -1143) T) ((-108 . -38) 126992) ((-850 . -1143) T) ((-795 . -1132) T) ((-118 . -739) 126979) ((-694 . -1069) 126963) ((-630 . -102) T) ((-856 . -23) T) ((-850 . -23) T) ((-1186 . -298) 126915) ((-1144 . -321) 126853) ((-496 . -1082) 126754) ((-1128 . -242) 126738) ((-61 . -411) T) ((-61 . -410) T) ((-1184 . -102) T) ((-110 . -102) T) ((-496 . -662) 126660) ((-40 . -390) 126637) ((-96 . -102) T) ((-677 . -876) 126621) ((-1202 . -236) 126608) ((-1166 . -1114) T) ((-1093 . -21) T) ((-1093 . -25) T) ((-1085 . -1082) 126592) ((-837 . -274) 126561) ((-837 . -234) 126530) ((-975 . -25) T) ((-975 . -21) T) ((-1151 . -381) T) ((-1085 . -662) 126472) ((-638 . -1088) T) ((-1058 . -321) 126410) ((-913 . -632) 126392) ((-692 . -668) 126351) ((-495 . -25) T) ((-495 . -21) T) ((-394 . -1082) 126335) ((-910 . -632) 126317) ((-893 . -1248) T) ((-537 . -528) 126250) ((-260 . -871) 126201) ((-259 . -871) 126152) ((-394 . -662) 126122) ((-895 . -660) 126099) ((-490 . -321) 126037) ((-562 . -1248) T) ((-477 . -321) 125975) ((-365 . -302) T) ((-1186 . -1287) 125959) ((-1173 . -632) 125921) ((-1173 . -633) 125882) ((-1171 . -102) T) ((-1027 . -1087) 125778) ((-40 . -927) 125730) ((-1186 . -618) 125707) ((-1328 . -670) 125694) ((-1094 . -153) 125640) ((-501 . -921) NIL) ((-890 . -504) 125617) ((-1027 . -111) 125499) ((-896 . -1253) T) ((-221 . -921) NIL) ((-352 . -739) 125483) ((-890 . -632) 125445) ((-177 . -739) 125377) ((-896 . -571) T) ((-421 . -298) 125335) ((-246 . -239) 125232) ((-108 . -414) 125214) ((-85 . -398) T) ((-85 . -410) T) ((-723 . -175) T) ((-636 . -632) 125196) ((-99 . -748) T) ((-496 . -102) 124928) ((-99 . 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-1234) 84069) ((-1284 . -1237) 84035) ((-1267 . -921) 83938) ((-1202 . -1082) 83761) ((-1173 . -1248) T) ((-1156 . -1082) 83604) ((-878 . -1082) 83588) ((-651 . -618) 83563) ((-1284 . -95) 83529) ((-1284 . -239) 83481) ((-1265 . -102) 83459) ((-1202 . -662) 83288) ((-1156 . -662) 83137) ((-878 . -662) 83107) ((-1263 . -1234) 83073) ((-1118 . -25) T) ((-564 . -1132) T) ((-1118 . -21) T) ((-985 . -1088) T) ((-545 . -814) T) ((-545 . -819) T) ((-119 . -1253) T) ((-890 . -1248) T) ((-642 . -571) T) ((-803 . -25) T) ((-803 . -21) T) ((-802 . -21) T) ((-802 . -25) T) ((-757 . -1088) T) ((-737 . -1088) T) ((-692 . -1087) 83057) ((-531 . -1114) T) ((-475 . -25) T) ((-119 . -571) T) ((-475 . -21) T) ((-468 . -25) T) ((-468 . -21) T) ((-1263 . -1237) 83023) ((-1184 . -93) T) ((-1173 . -1069) 82919) ((-839 . -302) 82898) ((-1263 . -239) 82757) ((-846 . -1132) T) ((-995 . -998) T) ((-692 . -111) 82736) ((-636 . -1248) T) ((-307 . -528) 82528) ((-1258 . -234) 82480) ((-1258 . -274) 82432) ((-1257 . 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80530) ((-1025 . -504) 80511) ((-74 . -455) T) ((-74 . -410) T) ((-1094 . -1132) T) ((-154 . -1087) 80495) ((-1025 . -632) 80461) ((-692 . -240) 80440) ((-585 . -569) 80424) ((-368 . -149) 80403) ((-368 . -147) 80354) ((-366 . -149) 80333) ((-366 . -147) 80284) ((-358 . -149) 80263) ((-358 . -147) 80214) ((-275 . -147) 80193) ((-275 . -149) 80172) ((-255 . -149) 80151) ((-119 . -376) T) ((-255 . -147) 80130) ((-1190 . -633) NIL) ((-154 . -111) 80109) ((-1034 . -1069) 79997) ((-1186 . -1248) T) ((-716 . -1253) T) ((-820 . -1088) T) ((-721 . -1143) T) ((-1034 . -390) 79974) ((-520 . -1248) T) ((-516 . -1248) T) ((-935 . -147) T) ((-935 . -149) 79956) ((-893 . -133) T) ((-837 . -1087) 79877) ((-721 . -23) T) ((-716 . -571) T) ((-229 . -1082) 79842) ((-669 . -632) 79774) ((-669 . -633) 79735) ((-651 . -633) NIL) ((-651 . -632) 79717) ((-501 . -175) T) ((-229 . -662) 79682) ((-221 . -175) T) ((-227 . -21) T) ((-227 . -25) T) ((-488 . -1237) 79648) ((-488 . -1234) 79614) ((-285 . -632) 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T) ((-895 . -321) 69641) ((-677 . -298) 69620) ((-657 . -1248) T) ((-114 . -684) T) ((-365 . -1248) T) ((-372 . -635) 69557) ((-367 . -635) 69494) ((-359 . -635) 69431) ((-77 . -1248) T) ((-108 . -635) 69381) ((-114 . -113) T) ((-1093 . -38) 69368) ((-686 . -387) 69347) ((-975 . -38) 69196) ((-753 . -1132) T) ((-495 . -38) 69045) ((-82 . -1248) T) ((-606 . -504) 69026) ((-1258 . -870) NIL) ((-1206 . -1132) T) ((-585 . -296) T) ((-1205 . -1132) T) ((-606 . -632) 68992) ((-1199 . -1132) T) ((-1151 . -874) T) ((-1110 . -1080) T) ((-365 . -1069) 68969) ((-839 . -504) 68953) ((-1035 . -1088) T) ((-45 . -632) 68935) ((-45 . -633) NIL) ((-943 . -1088) T) ((-839 . -632) 68904) ((-1179 . -102) 68854) ((-1110 . -250) 68805) ((-443 . -1088) T) ((-372 . -1080) T) ((-367 . -1080) T) ((-377 . -378) 68782) ((-359 . -1080) T) ((-357 . -236) 68769) ((-260 . -245) 68748) ((-259 . -245) 68727) ((-1110 . -240) 68652) ((-1157 . -1132) T) ((-305 . -927) 68611) ((-108 . -1080) T) ((-716 . -133) T) ((-419 . -528) 68453) ((-372 . -240) 68432) ((-372 . -250) T) ((-44 . -742) T) ((-367 . -240) 68411) ((-367 . -250) T) ((-359 . -240) 68390) ((-359 . -250) T) ((-1198 . -635) 68371) ((-171 . -321) 68336) ((-108 . -250) T) ((-108 . -240) T) ((-1025 . -635) 68317) ((-331 . -814) T) ((-893 . -21) T) ((-893 . -25) T) ((-421 . -319) T) ((-514 . -34) T) ((-110 . -300) 68292) ((-1144 . -1087) 68213) ((-895 . -1183) NIL) ((-342 . -632) 68195) ((-421 . -1051) 68173) ((-1144 . -111) 68089) ((-713 . -1294) T) ((-451 . -1132) T) ((-258 . -1132) T) ((-1323 . -748) T) ((-64 . -632) 68071) ((-895 . -38) 68016) ((-616 . -153) 68000) ((-537 . -1248) T) ((-524 . -632) 67940) ((-1267 . -321) 67927) ((-753 . -739) 67776) ((-545 . -815) T) ((-545 . -816) T) ((-560 . -660) 67758) ((-509 . -660) 67718) ((-518 . -1248) T) ((-659 . -1306) 67702) ((-368 . -466) T) ((-366 . -466) T) ((-358 . -466) T) ((-275 . -466) 67653) ((-539 . -1132) T) ((-534 . -1132) 67603) ((-255 . -466) 67554) ((-1182 . -298) 67533) ((-1210 . 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|orthonormalBasis| |sinh2csch| |chineseRemainder| |cyclePartition| - |null| |selectfirst| |accuracyIF| |reciprocalPolynomial| - |quasiMonicPolynomials| |topPredicate| |iisinh| - |unprotectedRemoveRedundantFactors| |duplicates| |possiblyNewVariety?| - |not| |partialFraction| |LowTriBddDenomInv| |cache| - |solveLinearPolynomialEquationByFractions| |ReduceOrder| - |createLowComplexityNormalBasis| |squareFreePart| |errorKind| - |B1solve| |rightTraceMatrix| |normalForm| |and| |bumptab1| - |deleteProperty!| |makeObject| |semiResultantEuclidean2| |less?| - |prinshINFO| |laguerreL| |dequeue!| |notelem| |fortranCompilerName| - |kmax| |or| |bipolarCylindrical| |youngDiagram| |closedCurve| |coef| - |tanintegrate| |top!| |setEmpty!| |purelyAlgebraicLeadingMonomial?| - |initiallyReduced?| |xor| |cubic| |isOpen?| |zeroOf| |leadingTerm| - |writable?| |erf| |operators| |genericRightDiscriminant| |parametric?| - |trivialIdeal?| |withPredicates| |case| |f04faf| - |conditionsForIdempotents| |uniform01| |failed?| - |genericRightTraceForm| |fintegrate| |quasiMonic?| |initials| |Zero| - |countRealRootsMultiple| |removeRedundantFactorsInPols| - |numberOfPrimitivePoly| |bernoulliB| |dihedralGroup| |left| - |subscript| |getCurve| |exponentialOrder| |lfintegrate| |One| - |setPrologue!| |shift| |retractIfCan| |hclf| |readInt16!| |s13aaf| - |gensym| |taylorIfCan| |dilog| |right| |size| |someBasis| |key?| - |nthFactor| |generic?| |radicalEigenvectors| |pade| |root| |pushup| - |cylindrical| |sin| |palgextint| |zeroMatrix| |voidMode| |meshPar2Var| - |high| |fortran| |finiteBound| |iiacoth| |dec| |lexico| - |expextendedint| |cos| |minGbasis| |removeSuperfluousQuasiComponents| - |nextSublist| |totalDegree| |getGraph| |numeric| |fractRadix| - |testDim| |e02dcf| |c06fpf| |tan| |depth| |extract!| |associates?| - |abelianGroup| |mapmult| |quasiRegular| |directory| |radical| - |wholeRadix| |factorOfDegree| |hex| |addiag| |cot| |matrixGcd| - |changeThreshhold| |chebyshevU| |csc2sin| |powerAssociative?| |elt| - |e02dff| |OMgetVariable| |invertibleSet| |extendedResultant| EQ |sec| - 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|generalizedEigenvectors| |gcdPolynomial| |viewPosDefault| |myDegree| - |isQuotient| |refine| |lllp| |leftReducedSystem| |recip| |doubleRank| - |safetyMargin| |unitCanonical| |exists?| |jvmFloatConstantTag| - |nextSubsetGray| |toroidal| |rdHack1| |rightMult| |presub| |iiperm| - |setnext!| |neglist| |fibonacci| |member?| |youngGroup| - |characteristic| |lprop| |nextPrimitivePoly| |putGraph| - |hyperelliptic| |merge| |setClipValue| |splitLinear| |pleskenSplit| - |elementary| |firstNumer| |rightGcd| |quotedOperators| |hexDigit| - |lepol| |sumOfDivisors| |cosSinInfo| |generate| - |indicialEquationAtInfinity| |sorted?| |gderiv| |backOldPos| - |unaryFunction| |monomial| |light| |cyclotomic| |putColorInfo| - |representationType| |coefficients| |fullPartialFraction| |copy!| - |s18aef| |rationalIfCan| |multinomial| |subst| |const| |multivariate| - |iicosh| |FormatArabic| |setClosed| |incrementBy| |lfextlimint| - |height| |cyclic?| |c06gbf| |mesh?| |setleaves!| |composites| - |partialQuotients| |id| |logpart| |variables| |enterPointData| - 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|changeName| |xn| |laurent| |floor| |readLine!| |hMonic| - |leadingBasisTerm| |frobenius| |scalarTypeOf| |child?| |typeForm| - |OMgetInteger| |pseudoRemainder| |puiseux| |oddInfiniteProduct| - |univariateSolve| |tryFunctionalDecomposition| |showAttributes| |call| - |rspace| |useSingleFactorBound?| |bat1| |dualSignature| - |inputBinaryFile| |bsolve| |readable?| |delta| |trueEqual| |e04fdf| - |split!| |numberOfFactors| |showTheSymbolTable| |normal?| |open?| - |polynomialZeros| |bandedHessian| |makeRecord| |showAllElements| - |dflist| |romberg| |rotatey| |leftScalarTimes!| |e02bef| - |addMatchRestricted| |plotPolar| |leftUnits| |conjugate| - |exprHasLogarithmicWeights| |reduceBasisAtInfinity| |iicsch| |e04ycf| - |acothIfCan| |components| |factorsOfDegree| |generators| |crest| - |makeVariable| |discriminant| |setleft!| |frst| |appendPoint| - |pushuconst| |upDateBranches| |int| |setIntersection| |outputAsScript| - |decimal| |internal?| |readUInt32!| |conjugates| - |generalizedContinuumHypothesisAssumed?| |constant| |gethi| - 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|decrease| |f02aef| |clipSurface| |tanh2trigh| |homogeneous?| - |scripts| |cAsinh| |key| |solveLinear| |unitsColorDefault| |s15aef| - |OMputError| |interactiveEnv| |topFortranOutputStack| |setfirst!| - |iicot| |cos2sec| |insertMatch| |point| |stirling1| |setchildren!| - |pointPlot| |seed| |vark| |repeating?| |minimalPolynomial| |squareTop| - |filename| |escape| |fglmIfCan| |iroot| |perfectNthPower?| - |processTemplate| |factor1| |subQuasiComponent?| |startStats!| |lfunc| - |leftFactor| |getOrder| |clipWithRanges| |ref| |corrPoly| - |fixedDivisor| |build| |mathieu11| |palgintegrate| |series| |parse| - |basisOfLeftNucloid| |e02agf| |cCsch| |cycleTail| |iisin| - |rectangularMatrix| |factorsOfCyclicGroupSize| |fractRagits| - |RittWuCompare| |diagonal?| |loopPoints| |c05nbf| |rootOf| - |cycleEntry| |pointColorDefault| |shufflein| |nlde| |sylvesterMatrix| - |e02ahf| |univariate?| |positive?| |paren| |baseRDE| |OMputString| - |lyndon?| UP2UTS |e01saf| |fixedPointExquo| |underscore| |input| - |retractable?| |lambert| |carriageReturn| |triangSolve| |rowEchLocal| - |leftOne| |minPoints| |changeMeasure| |upperCase| |iisqrt3| |library| - |min| |subNodeOf?| |expintegrate| |plus| |stoseLastSubResultant| - |character?| |coerceS| |primPartElseUnitCanonical| |diff| - |stosePrepareSubResAlgo| |integral?| |part?| |selectPolynomials| - |complex?| |graphImage| |norm| |tanSum| |showTheIFTable| |bernoulli| - |e02akf| |leftPower| |value| |coHeight| |iiacosh| - |solveLinearPolynomialEquationByRecursion| |iiabs| - |internalSubQuasiComponent?| |subResultantChain| |primeFrobenius| - |divergence| |e02bcf| |hspace| |f07adf| |genericLeftTrace| - |degreeSubResultantEuclidean| |leftTrace| - |genericRightMinimalPolynomial| |commaSeparate| |setColumn!| |iicos| - |rotate!| |showTheFTable| |times| |laurentRep| |name| |reset| - |listYoungTableaus| |irCtor| |mr| |setOrder| |clearTheFTable| - |minIndex| |squareFreePrim| |jvmDoubleConstantTag| |s15adf| |solve| - |cyclicParents| |body| |simpleBounds?| |polygon?| |viewWriteDefault| - |fixPredicate| |preprocess| |vedf2vef| |recur| |setPoly| |radix| - |setPredicates| |quasiComponent| |lazyPseudoQuotient| |write| |maxint| - |leadingCoefficientRicDE| |alphabetic?| |option?| |invmultisect| - |OMreadStr| |totalGroebner| |setvalue!| |setsubMatrix!| |algDsolve| - |resetAttributeButtons| |save| |OMencodingXML| |hermiteH| |ratDenom| - |distdfact| |imagK| |kind| |setImagSteps| |dn| |index| |whitePoint| - |monom| |ramified?| |setMaxPoints3D| |green| |setLabelValue| - |regularRepresentation| |rightTrace| |unit| |UpTriBddDenomInv| - |d01anf| |d01asf| |critpOrder| |acoshIfCan| |integer?| - |createPrimitiveNormalPoly| |separate| |zeroDim?| |lex| |qualifier| - |mapUnivariate| |pair| |normal01| |quotient| |readBytes!| - |showClipRegion| ** |oblateSpheroidal| |useEisensteinCriterion?| - |maximumExponent| |lp| |bfKeys| |solveLinearlyOverQ| |multMonom| - |common| |acotIfCan| |outputForm| |clip| |polyRDE| |algebraicSort| - |c06frf| |badValues| |double?| |s21bbf| |enumerate| |complexRoots| - |coord| |algebraicCoefficients?| |tanhIfCan| |showScalarValues| - |minRowIndex| |linefeed| |swap!| |jordanAdmissible?| |approxSqrt| - |rootRadius| |noLinearFactor?| |primintfldpoly| |jacobiIdentity?| - |palgextint0| |OMgetString| |port| |iilog| |sizeMultiplication| - |coefChoose| |increment| |removeConstantTerm| |symbol?| |show| - |reverse| |arguments| |minPol| |factorSquareFreePolynomial| |cotIfCan| - |style| GF2FG |c06gsf| |hasHi| |controlPanel| |qinterval| - |scanOneDimSubspaces| |contractSolve| |say| |just| |yCoord| |host| - |meshFun2Var| |debug3D| |s20acf| |indicialEquation| |sumSquares| |rst| - |quadratic?| |trace| |duplicates?| |expint| |red| |tab| |expIfCan| - |makeCrit| |acscIfCan| |f02fjf| |getGoodPrime| |integralMatrix| - |OMread| |graphStates| |cAcoth| |s17dcf| |interReduce| |addmod| |rk4f| - |solveLinearPolynomialEquation| |makeprod| |rightExactQuotient| - |newLine| |moreAlgebraic?| |integralBasisAtInfinity| |setMinPoints| - |setStatus| |iCompose| |numberOfVariables| |conjunction| - |karatsubaOnce| |d02gbf| |read!| |OMputObject| |e02ajf| - |leftExtendedGcd| |coleman| |eq?| |e01bef| |fullDisplay| |rowEch| - |coordinate| |e04mbf| |complement| |monic?| |nthExpon| - |isAbsolutelyIrreducible?| |aQuadratic| |SFunction| |leftZero| - |search| |maxrow| |resultant| |numericalIntegration| - |probablyZeroDim?| |setProperties| |leftLcm| |useSingleFactorBound| - |isAnd| |coercePreimagesImages| |OMgetEndAtp| |cycles| |minus!| - |oddintegers| |bat| |colorDef| |union| |cAtanh| - |lazyIrreducibleFactors| |complexExpand| |determinant| |setEpilogue!| - |setLegalFortranSourceExtensions| |numericIfCan| |constantOpIfCan| - |sqfrFactor| |headAst| |basisOfLeftNucleus| |disjunction| - |OMgetSymbol| |symbolTable| |computeInt| |extensionDegree| - |createZechTable| |LyndonWordsList1| |ListOfTerms| - |combineFeatureCompatibility| |strongGenerators| |cosh2sech| - |curveColorPalette| |rightOne| |makeFR| |rootsOf| |identification| - |functionIsContinuousAtEndPoints| |horizontalTab| |cCos| |eof?| - |jvmInterface| |iiasinh| |pushFortranOutputStack| |fracPart| |bracket| - |subtractIfCan| |collect| |c06gqf| |rightDiscriminant| F2FG |submod| - |commutativeEquality| |iiasec| |popFortranOutputStack| - |jvmMethodrefConstantTag| |mainContent| |jvmSuper| |OMgetError| - |taylorRep| |monomialIntegrate| |e01bhf| |rk4| |OMputEndAttr| - |maxColIndex| |factorials| |dual| |outputAsFortran| |OMsupportsCD?| - |digits| |f01qef| |rule| |lazyResidueClass| |tab1| - |integralRepresents| |nthRoot| |rur| |typeList| |outputMeasure| - |setScreenResolution3D| |scaleRoots| |cSin| |dequeue| |power!| |sign| - |ran| |leastAffineMultiple| |signatureAst| |hitherPlane| |changeVar| - RF2UTS |rightRegularRepresentation| |cycleSplit!| |subHeight| |range| - |extractIndex| |minColIndex| |airyBi| |expandTrigProducts| - |pmintegrate| |plusInfinity| |possiblyInfinite?| |dimensions| - |writeUInt8!| |wrregime| |simplify| |divisor| - |irreducibleRepresentation| |curve?| |nonQsign| |space| - |symmetricProduct| |minusInfinity| |ode1| |GospersMethod| |OMlistCDs| - |size?| |binarySearchTree| |tableForDiscreteLogarithm| |diagonals| - |direction| |bigEndian| |setStatus!| |zeroDimPrime?| |mindeg| |ipow| - |subspace| |iiasin| |jvmStrict| |radicalOfLeftTraceForm| - |inHallBasis?| |monomRDE| |unitNormal| |ScanFloatIgnoreSpaces| - |monomRDEsys| |scan| |pol| |jacobian| |mainMonomials| |e02bbf| - |basicSet| |messagePrint| |bivariateSLPEBR| |pattern| |debug| - |parabolic| |graphCurves| |ScanFloatIgnoreSpacesIfCan| |leftRemainder| - |lquo| |localUnquote| |countRealRoots| |schwerpunkt| |jordanAlgebra?| - D |Ei| |createGenericMatrix| |ksec| |purelyTranscendental?| - |getProperty| |intermediateResultsIF| |type| |normalize| |reopen!| - |viewPhiDefault| |adaptive| |pushNewContour| |showIntensityFunctions| - |normalized?| |ramifiedAtInfinity?| |edf2df| |printCode| |vector| - |getButtonValue| |linearPart| |genericRightTrace| |curry| - |selectsecond| |beauzamyBound| |trailingCoefficient| |dim| - |differentiate| |ratpart| |e01sff| |primitive?| |perfectSquare?| - |rootBound| |diagonalMatrix| |powerSum| |concat| |cAcsc| |UnVectorise| - |basisOfLeftAnnihilator| |leftMinimalPolynomial| - |branchPointAtInfinity?| |sin2csc| |convergents| |limit| |bringDown| - |elem?| |semiSubResultantGcdEuclidean1| |tablePow| |e01sef| - |infiniteProduct| |headReduced?| |extendedSubResultantGcd| |repeating| - |delay| |squareFreePolynomial| |critT| |bitLength| |zeroVector| - |clearCache| |noKaratsuba| |getMultiplicationTable| |scripted?| - |OMmakeConn| |back| |cRationalPower| |stFuncN| |setScreenResolution| - |viewWriteAvailable| |intensity| |uncouplingMatrices| |dimensionsOf| - |queue| |ScanRoman| |jvmAbstract| |subTriSet?| |constantOperator| - |birth| |nextItem| |pack!| |headRemainder| |knownInfBasis| - |leastMonomial| |pop!| |principalAncestors| |fortranCarriageReturn| - |sturmVariationsOf| |print| LODO2FUN |cAcos| |bits| |removeSinSq| - |inconsistent?| |lazyIntegrate| |resolve| |SturmHabichtMultiple| - |primextintfrac| |addBadValue| |Si| |selectFiniteRoutines| - |numerators| |reify| |evenlambert| |moebiusMu| |cSech| |convert| - |extension| |integers| |dmp2rfi| |resultantReduitEuclidean| - |rewriteIdealWithHeadRemainder| |numer| |bottom!| |solveInField| - |setref| |symbolIfCan| |axes| |newReduc| |schema| |deriv| |denom| - |lllip| |readUInt16!| |ptree| |push| |prinpolINFO| |Aleph| |leader| - |hypergeometric0F1| |normalizedAssociate| |zeroDimPrimary?| - |genericPosition| |numberOfComputedEntries| |generalPosition| |euler| - |iibinom| |dictionary| |returnType!| |linear| |title| |e04ucf| |pi| - |summation| |traceMatrix| |f02adf| |nextPartition| - |reduceByQuasiMonic| |getMatch| |whileLoop| |decompose| |f02bbf| - |infinity| |rangePascalTriangle| |noncommutativeJordanAlgebra?| - |cot2tan| |idealiser| |basis| |LiePoly| |s17akf| |polynomial| - |fortranInteger| |argscript| |closed| |cExp| |s20adf| |mightHaveRoots| - |e| |OMputEndBind| |getRef| |purelyAlgebraic?| |csch2sinh| - |linearDependenceOverZ| |d02raf| |leftGcd| |mappingMode| - |OMunhandledSymbol| |kernel| |weighted| - |semiSubResultantGcdEuclidean2| |Hausdorff| |e02def| |linearMatrix| - |internalSubPolSet?| |square?| |typeLists| |nil| |infinite| - |arbitraryExponent| |approximate| |complex| |shallowMutable| - |canonical| |noetherian| |central| |partiallyOrderedSet| - |arbitraryPrecision| |canonicalsClosed| |noZeroDivisors| - |rightUnitary| |leftUnitary| |additiveValuation| |unitsKnown| - |canonicalUnitNormal| |multiplicativeValuation| |finiteAggregate| - |shallowlyMutable| |commutative|)
\ No newline at end of file + |Enumeration| |Mapping| |Record| |Union| |upperCase?| + |selectMultiDimensionalRoutines| |float?| |list| |s20acf| + |algebraicDecompose| |fprindINFO| |integerIfCan| + |drawComplexVectorField| |contours| |draw| |primintegrate| |universe| + |OMputAtp| |indicialEquation| |drawComplex| |semicolonSeparate| + |janko2| |rroot| |bright| |pop!| |reduction| |functorData| + |changeBase| |sumSquares| |palgint0| |karatsubaDivide| + |rationalPoint?| |setelt!| |principalAncestors| |null| + |semiResultantReduitEuclidean| |denomRicDE| |nextColeman| |rst| + |exprHasAlgebraicWeight| |froot| |indicialEquations| |divide| + |fortranCarriageReturn| |not| |torsionIfCan| |cache| |printStatement| + |stronglyReduced?| |quadratic?| |expandLog| |makingStats?| + |setVariableOrder| |lookupFunction| |removeSinhSq| |and| + |sturmVariationsOf| |makeObject| |identityMatrix| |elseBranch| + |wordInGenerators| |duplicates?| |leftRankPolynomial| |linGenPos| + |imagk| |roughUnitIdeal?| |or| LODO2FUN |exptMod| |OMsupportsSymbol?| + |factorByRecursion| |coef| |expint| |normalizeAtInfinity| + |collectQuasiMonic| |swapColumns!| |semiDegreeSubResultantEuclidean| + |cAcos| |xor| |OMgetAttr| |OMputEndObject| |selectODEIVPRoutines| + |red| |erf| |specialTrigs| |f04arf| |imagJ| |rational?| |bits| |case| + |hermite| |nand| |e04dgf| |tab| |brillhartTrials| |setOfMinN| |yellow| + |airyAi| |Zero| |removeSinSq| |internalDecompose| |getStream| + |sech2cosh| |expIfCan| |left| |polar| |compactFraction| |cPower| + |ParCond| |One| |inconsistent?| |shift| |retractIfCan| + |lowerPolynomial| |lflimitedint| |insertionSort!| |eigenvalues| + |makeCrit| |dilog| |right| |size| |imagi| |divideIfCan| + |taylorQuoByVar| |characteristicPolynomial| |lazyIntegrate| |more?| + |fortranLiteralLine| |negative?| |acscIfCan| |sin| |Vectorise| + |lazyPseudoDivide| |outputGeneral| |measure| |SturmHabichtMultiple| + |fortran| |algSplitSimple| |ffactor| |dec| |totolex| |f02fjf| |cos| + |reseed| |rewriteSetWithReduction| |tan2trig| |localIntegralBasis| + |primextintfrac| |numeric| |iterationVar| |makeCos| |eyeDistance| + |getGoodPrime| |tan| |depth| |idealiserMatrix| |nextsousResultant2| + |elaborate| |paraboloidal| |addBadValue| |directory| |radical| + |jvmClassConstantTag| |weakBiRank| |areEquivalent?| |integralMatrix| + |cot| |setDifference| |pseudoQuotient| |halfExtendedResultant2| + |nthRootIfCan| |Si| |elt| |denominators| |atom?| |diagonal| |OMread| + EQ |sec| |anfactor| |lifting| |complexLimit| |csubst| + |selectFiniteRoutines| |signature| |screenResolution| |setPosition| + |countable?| |prinb| |graphStates| |csc| |associator| |product| + |fi2df| |logical?| |numerators| |monomials| |nullSpace| |ord| + |clikeUniv| |cAcoth| |asin| |e02daf| |doubleDisc| |setAdaptive3D| + |completeSmith| |reify| |minordet| |alphanumeric?| |normalizeIfCan| + |matrixDimensions| |s17dcf| |acos| |monicLeftDivide| |tube| + |substitute| |unitVector| |evenlambert| |tracePowMod| |aspFilename| + |decomposeFunc| |interReduce| |atan| |node| |rightRank| |digit?| + |curve| |printTypes| |moebiusMu| |rationalApproximation| |shiftRoots| + |cSinh| |addmod| |fixedPoint| |acot| |leftTraceMatrix| |groebner?| + |f01qdf| |laurentIfCan| |cSech| |e02gaf| |lastSubResultant| |move| + |rk4f| |extractProperty| |asec| |symbol| |low| |lineColorDefault| + |nsqfree| |ceiling| |extension| |sinhcosh| SEGMENT |linearForm| + |thetaCoord| |solveLinearPolynomialEquation| |acsc| |expression| + |selectPDERoutines| |complexNormalize| |relerror| |baseRDEsys| + |integers| |unknown| |stoseIntegralLastSubResultant| |f04mbf| + |wholePart| |makeprod| |sinh| |integer| |incrementKthElement| + |twoFactor| |chiSquare| |selectOptimizationRoutines| |dmp2rfi| + |script| |findConstructor| |elColumn2!| |showArrayValues| + |rightExactQuotient| |cosh| |s13adf| |removeZeroes| |dAndcExp| + |constDsolve| |resultantReduitEuclidean| |colorFunction| + |antiAssociative?| |leftFactorIfCan| |newLine| |tanh| |permutation| + |infRittWu?| |physicalLength| |groebner| + |rewriteIdealWithHeadRemainder| |symmetricRemainder| |charpol| + |invmod| |moreAlgebraic?| |coth| |elaborateFile| + |inverseIntegralMatrixAtInfinity| F |permutationGroup| |distance| + |bottom!| |tex| |hcrf| |deepExpand| |partitions| + |integralBasisAtInfinity| |sech| |increasePrecision| |isOr| + |callForm?| |plenaryPower| |solveInField| |cond| |pile| + |fortranDoubleComplex| |complexNumericIfCan| |setMinPoints| |csch| + |npcoef| |relativeApprox| |f02aaf| |s17acf| |setref| |difference| + |scalarMatrix| |simplifyLog| |setStatus| |cyclicGroup| |normalise| + |tanNa| |quoByVar| |symbolIfCan| |initiallyReduce| + |associatedEquations| |binaryTree| |iCompose| |morphism| |simplifyExp| + |sylvesterSequence| |mainCharacterization| |axes| |writeLine!| + |hexDigit?| |unrankImproperPartitions1| |kmax| |numberOfVariables| + |select!| |unitNormalize| |decreasePrecision| |expt| |newReduc| + |redmat| |var2Steps| |newSubProgram| |bipolarCylindrical| + |conjunction| |equation| |problemPoints| |mapCoef| |irVar| |f02ajf| + |schema| |any?| |makeUnit| |maxRowIndex| |karatsubaOnce| + |youngDiagram| |nilFactor| |linearlyDependent?| |euclideanGroebner| + |reorder| |deriv| |changeWeightLevel| |nthFlag| |bothWays| |d02gbf| + |inputOutputBinaryFile| |car| |polCase| |semiResultantEuclidean1| + |lllip| |cap| |cTanh| |coordinates| |read!| |nthCoef| |readInt8!| + |tryFunctionalDecomposition?| |squareFreeLexTriangular| |readUInt16!| + |optAttributes| |finiteBasis| |linearDependence| |generic?| + |OMputObject| |expintfldpoly| |fractionFreeGauss!| |dmpToHdmp| + |printInfo!| |push| |compBound| |mkAnswer| |super| |padicFraction| + |radicalEigenvectors| |e02ajf| |elRow2!| |minrank| |decrease| + |randomLC| |prinpolINFO| |createMultiplicationMatrix| |primlimintfrac| + |one?| |pade| |leftExtendedGcd| |insert| |lastSubResultantEuclidean| + |monicRightFactorIfCan| |invertIfCan| |f02aef| |Aleph| |coshIfCan| + |reducedQPowers| |jvmIntegerConstantTag| |coleman| |rangeIsFinite| + |df2st| |create| |clipSurface| |hypergeometric0F1| |rombergo| + |resultantnaif| |eq?| |numberOfOperations| |f07aef| |OMopenString| + |tanh2trigh| |normalizedAssociate| |characteristicSerie| + |createNormalPrimitivePoly| |zeroSetSplitIntoTriangularSystems| + |e01bef| |s17agf| |mathieu22| |homogeneous?| |OMgetBind| + |zeroDimPrimary?| |stop| |cAcot| |functionIsOscillatory| + |infieldIntegrate| |fullDisplay| |lazyPseudoRemainder| |hue| |cAsinh| + |partition| |genericPosition| |diagonalProduct| |basisOfRightNucloid| + |middle| |assert| |rowEch| |systemCommand| |cyclotomicDecomposition| + |solveLinear| |numberOfComputedEntries| |discriminantEuclidean| + |leadingIdeal| |imports| |coordinate| |polarCoordinates| |inRadical?| + |rational| |unitsColorDefault| |generalPosition| |copyInto!| |d01aqf| + |mindegTerm| |e04mbf| |normal| |open| |d01apf| |shade| |s15aef| + |var1StepsDefault| |euler| |headReduce| |linearElement| |root| |mdeg| + |complement| |nor| |makeViewport3D| |recolor| |OMputError| |iibinom| + |perfectSqrt| |monic?| |realRoots| |numberOfFractionalTerms| + |interactiveEnv| |userOrdered?| |dictionary| |rightFactorCandidate| + |skewSFunction| |splitConstant| |nthExpon| |iExquo| |psolve| + |topFortranOutputStack| |prindINFO| |returnType!| |e01sbf| + |absolutelyIrreducible?| |polygamma| |isAbsolutelyIrreducible?| + |operations| |scopes| |removeCoshSq| |inspect| |setfirst!| |eq| + |e04ucf| |makeop| |OMgetEndBVar| |rightLcm| |log| |aQuadratic| + |encodingDirectory| |firstSubsetGray| |iter| |summation| |substring?| + |identitySquareMatrix| |mulmod| |check| |SFunction| |close| |OMputApp| + |OMputBind| |removeDuplicates| |polynomialZeros| |traceMatrix| + |LowTriBddDenomInv| |position!| |prevPrime| |times!| |predicate| + |leftZero| |ptFunc| |recoverAfterFail| |bandedHessian| |eigenMatrix| + |solveLinearPolynomialEquationByFractions| |f02adf| |suffix?| + |safeFloor| |wholeRadix| |lazyEvaluate| |s21bdf| |maxrow| |display| + |f02agf| |sample| |squareMatrix| |showAllElements| |ReduceOrder| + |nextPartition| |factorOfDegree| |tan2cot| |separateDegrees| + |limitedint| |increase| |sparsityIF| |doubleResultant| |dflist| + |leaves| |prefix?| |reduceByQuasiMonic| |hex| |reducedDiscriminant| + |s14abf| |regime| |normal01| |balancedFactorisation| |contains?| |lhs| + |virtualDegree| |romberg| |getMatch| |string?| |s17ahf| |child| + |quotient| |binaryTournament| |e01daf| |rhs| |rotatey| |isExpt| + |whileLoop| |measure2Result| |stirling2| |expandPower| |readBytes!| + |exp| |commutative?| |hclf| |multiplyExponents| |leftScalarTimes!| + |monicDecomposeIfCan| |arg1| |removeIrreducibleRedundantFactors| + |validExponential| |viewDeltaXDefault| |showClipRegion| |currentEnv| + |integralMatrixAtInfinity| |readInt16!| |omError| |width| |e02bef| + |rCoord| |curry| |arg2| |numberOfCycles| |makeGraphImage| + |closedCurve?| |oblateSpheroidal| |output| |divisorCascade| + |mapMatrixIfCan| |symmetricTensors| |s13aaf| |addMatchRestricted| + |selectsecond| |resetNew| |makeResult| |children| |test| + |useEisensteinCriterion?| |comment| |antisymmetricTensors| |powern| + |OMgetEndObject| |plotPolar| |beauzamyBound| |parameters| |li| + |c06fpf| |gcdcofact| |conditions| |d01bbf| |resultantEuclideannaif| + |maximumExponent| |getMultiplicationMatrix| |explicitlyFinite?| + |leftUnits| |evaluate| |trailingCoefficient| |dequeue!| |extract!| + |match| |tubeRadiusDefault| |radPoly| |makeEq| |bfKeys| + |sumOfKthPowerDivisors| |legendre| |conjugate| |upperBound| |notelem| + |ratpart| |associates?| |s17aef| |c06gcf| |hasoln| + |solveLinearlyOverQ| |exprHasLogarithmicWeights| |variable?| + |readByte!| |ldf2vmf| |loadNativeModule| |e01sff| + |fortranCompilerName| |augment| |firstUncouplingMatrix| |rowEchelon| + |multMonom| |message| |cCsc| |OMconnectTCP| |optional| + |reduceBasisAtInfinity| |genericLeftDiscriminant| |primitive?| + |getConstant| |OMputBVar| |allRootsOf| |acotIfCan| |infix?| + |insertBottom!| |leftMult| |iicsch| |innerSolve| |perfectSquare?| + |exponentialOrder| |cAtan| |splitSquarefree| |viewDefaults| |remove| + |outputForm| |mask| |rootProduct| |deleteRoutine!| |ignore?| |e04ycf| + |rootBound| |result| |spherical| |principal?| |lfintegrate| |simpson| + |clip| |jvmUTF8ConstantTag| |octon| |acothIfCan| |supRittWu?| + |diagonalMatrix| |inc| |directSum| |rightPower| |reduceLODE| + |setPrologue!| |last| |polyRDE| |bezoutDiscriminant| + |subscriptedVariables| |subCase?| |components| |powerSum| |assoc| + |conjug| |computeCycleEntry| |jvmNameAndTypeConstantTag| + |algebraicSort| |setProperty| |content| |factorsOfDegree| |An| |cAcsc| + |graphState| |presuper| |algebraic?| |c06frf| |map| + |generalizedEigenvector| |OMputEndAtp| |rightExtendedGcd| |generators| + |UnVectorise| |s17aff| |iicoth| |OMconnOutDevice| |badValues| |expr| + |redPol| |pureLex| |optpair| |crest| |basisOfLeftAnnihilator| + |shiftRight| |rightMinimalPolynomial| |OMwrite| |double?| + |infinityNorm| |OMgetBVar| |makeVariable| |compose| + |leftMinimalPolynomial| |label| |basisOfNucleus| |heap| |inverse| + |s21bbf| |factorAndSplit| |f01ref| |makeViewport2D| |discriminant| BY + |branchPointAtInfinity?| |condition| |goodnessOfFit| |minimize| + |PollardSmallFactor| |enumerate| |setleft!| |multiEuclideanTree| + |halfExtendedSubResultantGcd2| |setMaxPoints| |rules| |sin2csc| + |prefix| |qelt| |OMUnknownCD?| |quotientByP| |monicModulo| + |complexRoots| |variable| |addPointLast| |symFunc| |frst| |isPlus| + |convergents| |operation| |qsetelt| |completeEchelonBasis| |reverse!| + |writeInt8!| |coord| |iterators| |lexico| |bitTruth| + |stoseInvertible?sqfreg| |internalIntegrate0| |appendPoint| |limit| + |xRange| |expPot| |balancedBinaryTree| |traverse| + |algebraicCoefficients?| |expextendedint| |nonSingularModel| |cAsin| + |pushuconst| |removeZero| |bringDown| |yRange| |groebnerFactorize| + |binaryFunction| |init| |insert!| |tanhIfCan| |minGbasis| + |LyndonBasis| |continuedFraction| |flexibleArray| |upDateBranches| + |elem?| |roughBasicSet| |zRange| |fillPascalTriangle| |latex| + |connect| |showScalarValues| |next| |stoseInvertible?| + |stoseInvertibleSet| |binding| |setIntersection| + |semiSubResultantGcdEuclidean1| |option| |map!| |pointColor| + |logIfCan| LE |removeCosSq| |minRowIndex| NOT |fractionPart| + |primitivePart| |reverseLex| |outputAsScript| |tablePow| |qsetelt!| + |antiCommutative?| |testModulus| |f07fef| LT |linefeed| OR + |reducedContinuedFraction| |getProperties| |decimal| |getIdentifier| + |e01sef| |elaboration| |antisymmetric?| |update| |lowerCase!| |swap!| + AND |packageCall| |supDimElseRittWu?| |padicallyExpand| |internal?| + |infiniteProduct| |iiatan| |associatorDependence| |leadingTerm| + |doubleComplex?| |jordanAdmissible?| |less?| |d01gaf| |rightQuotient| + |readUInt32!| |removeRedundantFactors| |headReduced?| |biRank| + |e04jaf| |writable?| |compiledFunction| |approxSqrt| |prinshINFO| + |leftCharacteristicPolynomial| + |removeRoughlyRedundantFactorsInContents| |nary?| |conjugates| + |extendedSubResultantGcd| |brillhartIrreducible?| |radicalEigenvector| + |operators| |mapSolve| |rootRadius| |laguerreL| |basisOfRightNucleus| + |modularFactor| |generalizedContinuumHypothesisAssumed?| + |shallowExpand| |repeating| |acsch| |entry?| |external?| |extendIfCan| + |noLinearFactor?| |rem| |tubeRadius| |d01gbf| |gethi| + |createMultiplicationTable| |delay| |droot| |f02axf| |mantissa| |is?| + |primintfldpoly| |quo| |removeSuperfluousQuasiComponents| + |reducedForm| |trigs2explogs| |geometric| |numberOfImproperPartitions| + |squareFreePolynomial| |triangular?| |setprevious!| |reduced?| + |jacobiIdentity?| |nextSublist| |univcase| |permutationRepresentation| + |normFactors| |OMgetAtp| |critT| |setTex!| |moebius| |merge!| + |palgextint0| |div| |totalDegree| |changeNameToObjf| |sequences| + |getSyntaxFormsFromFile| |clearTable!| |bitLength| |rootSimp| |sin?| + |genericRightDiscriminant| |atanhIfCan| |OMgetString| |exquo| + |att2Result| |double| |numerator| |totalfract| |orbits| |zeroVector| + |Ci| |OMputInteger| |parametric?| |isNot| |iilog| * ~= |leftRank| + |collectUnder| |hdmpToDmp| |modifyPoint| |noKaratsuba| + |rightRankPolynomial| |modulus| |pushucoef| |trivialIdeal?| + |sizeMultiplication| |#| |cot2trig| |viewpoint| |UP2ifCan| |extend| + |getMultiplicationTable| |functionIsFracPolynomial?| |addiag| + |asimpson| |definingEquations| |coefChoose| ~ |d03eef| |squareFree| + |rubiksGroup| |parametersOf| |scripted?| |matrixGcd| + |semiDiscriminantEuclidean| |kroneckerDelta| |OMsend| |increment| = + |compound?| |monomial?| |pomopo!| |c06ekf| |OMmakeConn| |cn| + |thenBranch| |inR?| |changeThreshhold| |function| |besselJ| + |removeConstantTerm| |jokerMode| |LyndonWordsList| |algintegrate| + |numFunEvals3D| |back| |showAll?| |push!| |rquo| |symbol?| |/\\| < + |fTable| |charthRoot| |ScanArabic| |OMgetEndBind| |cRationalPower| + |noValueMode| |s13acf| |minPol| |\\/| > |e02zaf| |declare!| + |enterInCache| |setCondition!| |monicCompleteDecompose| |stFuncN| + |lfextendedint| |partialDenominators| |startTableGcd!| + |factorSquareFreePolynomial| <= |domainTemplate| |BasicMethod| |block| + |nil?| |setScreenResolution| |singleFactorBound| |capacity| + |cyclotomicFactorization| |cotIfCan| >= |delete!| FG2F |subMatrix| + |atanIfCan| |viewWriteAvailable| |denominator| |linearAssociatedOrder| + |formula| |closed?| |style| |empty?| |nativeModuleExtension| + |intensity| |lfinfieldint| |makeSketch| |iiatanh| |f2df| GF2FG |cons| + |true| |iprint| |inv| |constantIfCan| |bandedJacobian| + |uncouplingMatrices| |commutator| |showFortranOutputStack| |declare| + |blankSeparate| |c06gsf| |integralDerivationMatrix| + |ground?| + |c06fuf| |principalIdeal| |pair?| |dimensionsOf| |palgRDE| |ravel| + |createRandomElement| |extractClosed| |ground| |hasHi| |flatten| - + |OMgetObject| |vspace| |hasPredicate?| |roughBase?| |queue| + |OMencodingUnknown| |nrows| |reshape| |controlPanel| / + |leadingMonomial| |prem| |currentCategoryFrame| |segment| + |extractTop!| |nullity| |ScanRoman| |setValue!| + |removeRoughlyRedundantFactorsInPol| |degree| |ncols| |qinterval| + |entries| |patternVariable| |leadingCoefficient| |slash| + |mainPrimitivePart| |jvmAbstract| |LyndonCoordinates| |coth2trigh| + |max| |mainExpression| |lcm| |scanOneDimSubspaces| |computeBasis| + |source| |halfExtendedResultant1| |primitiveMonomials| |varselect| + |choosemon| |repSq| |subTriSet?| |OMputEndApp| |coefficient| |rank| + |buildSyntax| |contractSolve| |infinite?| |root?| |reductum| + |constantOperator| |unrankImproperPartitions0| |digamma| |unit?| + |truncate| |append| |just| |set| |insertRoot!| |iisec| |generalSqFr| + |stoseSquareFreePart| |printInfo| |birth| |isMult| |s01eaf| + |quadraticNorm| |computePowers| |gcd| |yCoord| |target| + |removeDuplicates!| |lighting| |iomode| |integralBasis| |nextItem| + |rightScalarTimes!| |lazyPquo| |deepestTail| |bumptab| |false| |host| + |gcdprim| |c06ebf| |graeffe| |gcdcofactprim| |pack!| |f04axf| + |stopTableInvSet!| |setErrorBound| |lazyPrem| |copies| |f07fdf| + |tubePlot| |jvmStatic| |headRemainder| |stFunc1| |shape| |permanent| + |power| |minIndex| |withPredicates| |iitanh| |table| |outerProduct| + |hasTopPredicate?| |realEigenvectors| |exponential1| |knownInfBasis| + |lieAdmissible?| |viewport3D| |mathieu12| |unexpand| |squareFreePrim| + |f04faf| |credPol| |new| |listRepresentation| |position| |elRow1!| + |writeByte!| |stoseInvertibleSetreg| |coerce| |leastMonomial| + |quasiRegular?| |lists| |tanh2coth| |cycleLength| + |conditionsForIdempotents| |jvmDoubleConstantTag| |cup| + |stronglyReduce| |isTimes| |irreducibleFactors| |repeatUntilLoop| + |construct| |oddlambert| |before?| |sizeLess?| |s15adf| |freeOf?| + |maxPoints| |asechIfCan| |mpsode| |OMlistCDs| |jvmFinal| + |inverseColeman| |degreePartition| |constantCoefficientRicDE| |solve| + |clearFortranOutputStack| |leftDiscriminant| |fortranLiteral| |cSec| + |void| |size?| |fortranCharacter| |infieldint| |lowerBound| |zero?| + |second| |cyclicParents| |branchPoint?| |s17adf| |complexEigenvalues| + |rename!| |binarySearchTree| |putProperties| |randnum| |permutations| + |third| UTS2UP |simpleBounds?| |iipow| |phiCoord| |associative?| |dot| + |tableForDiscreteLogarithm| |iiexp| |isList| |every?| |boundOfCauchy| + |polygon?| |zero| |seriesSolve| |subPolSet?| |isConnected?| |equiv| + |diagonals| |iidsum| |genericLeftNorm| |minimumDegree| |primes| |box| + |viewWriteDefault| |leadingExponent| |multisect| |f01bsf| + |internalLastSubResultant| |direction| |OMputVariable| |plot| + |integralCoordinates| |stoseInternalLastSubResultant| |fixPredicate| + |And| |lazy?| |tableau| |nullary?| |generalTwoFactor| |bigEndian| + |lookup| |sinhIfCan| |differentialVariables| |structuralConstants| + |preprocess| |Or| |iiacos| |categoryFrame| |d03faf| + |resultantEuclidean| |setStatus!| |fill!| |ddFact| |OMputAttr| + |radicalSimplify| |vedf2vef| |Not| |elliptic| |ricDsolve| |exponent| + |derivationCoordinates| |zeroDimPrime?| |computeCycleLength| |cAsec| + |bezoutMatrix| |shellSort| |recur| |setFormula!| |leadingIndex| + |f01qcf| |mathieu23| |mindeg| |cyclic| |c06ecf| |interval| |d01ajf| + |setPoly| |in?| |rightRecip| |iidprod| |limitPlus| |ipow| |entry| + |linears| |e01bff| |euclideanNormalForm| |outlineRender| |failed| + |radix| |nonLinearPart| |match?| |leftAlternative?| |irDef| + |rischNormalize| |gensym| |subspace| |shanksDiscLogAlgorithm| |abs| + |explicitEntries?| |OMsetEncoding| |setPredicates| |verticalTab| + |sort| |separant| |anticoord| |tanIfCan| |taylorIfCan| |iiasin| |keys| + |OMgetFloat| |orthonormalBasis| |goodPoint| + |univariatePolynomialsGcds| |quasiComponent| |someBasis| |eulerE| + |RemainderList| |contract| |palgLODE| |jvmStrict| + |componentUpperBound| |sinh2csch| |setelt| |complexZeros| |socf2socdf| + |lazyPseudoQuotient| |random| |randomR| |mainCoefficients| + |totalDifferential| |graphs| |radicalOfLeftTraceForm| |error| + |chineseRemainder| |sec2cos| |twist| |remainder| |maxint| + |euclideanSize| |semiLastSubResultantEuclidean| |singularAtInfinity?| + |primitivePart!| |inHallBasis?| |cyclePartition| |indiceSubResultant| + |copy| |d02cjf| |rewriteIdealWithQuasiMonicGenerators| + |leadingCoefficientRicDE| |makeSeries| |sub| |partialNumerators| + |cLog| |monomRDE| |selectfirst| |printStats!| |exprToXXP| |totalLex| + |alphabetic?| |bitCoef| |wholeRagits| |close!| |intersect| + |unitNormal| |accuracyIF| |identity| |autoCoerce| |littleEndian| + |sincos| |option?| |subSet| |axesColorDefault| |firstDenom| + |bivariatePolynomials| |ScanFloatIgnoreSpaces| |reciprocalPolynomial| + |pushdterm| |dioSolve| |poisson| |invmultisect| |qroot| + |cyclicSubmodule| |linear?| |primPartElseUnitCanonical!| |monomRDEsys| + |top| |sncndn| |quasiMonicPolynomials| |createPrimitiveElement| + |f04asf| |OMreadStr| |newline| |bombieriNorm| |changeName| + |inGroundField?| |scan| |continue| |OMbindTCP| |topPredicate| + |monicRightDivide| |externalList| |totalGroebner| |getGraph| + |outputSpacing| |genericLeftTraceForm| |xn| |divideExponents| + |parents| |pol| |approximants| |iisinh| |tanQ| |sdf2lst| |t| + |setvalue!| |jacobi| |aLinear| |singular?| |floor| |jacobian| |eval| + |unprotectedRemoveRedundantFactors| |BumInSepFFE| |rotatex| + |wordInStrongGenerators| |setsubMatrix!| |prolateSpheroidal| |s17dgf| + |subset?| |readLine!| |mainMonomials| |invertible?| |digit| + |lazyVariations| |algDsolve| |sum| + |dimensionOfIrreducibleRepresentation| |blue| |hMonic| |palgRDE0| + |e02bbf| |curveColor| |f01rcf| |cschIfCan| |resetAttributeButtons| + |datalist| |s18dcf| |sinIfCan| |leadingBasisTerm| |viewZoomDefault| + |basicSet| |leastPower| |f04atf| |subNode?| |OMencodingXML| |bounds| + |constant?| |symmetricSquare| |frobenius| |messagePrint| |zeroMatrix| + |OMParseError?| |tensorProduct| |argumentList!| |hermiteH| |comp| + |macroExpand| |LazardQuotient| |hostByteOrder| |scalarTypeOf| + |factorList| |bivariateSLPEBR| |voidMode| |branchIfCan| |updatD| + |ideal| |ratDenom| |comparison| |df2fi| |interpret| |palginfieldint| + |child?| |closedCurve| |parabolic| |cCot| |meshPar2Var| |mix| + |interpretString| |distdfact| |exponents| |tanintegrate| + |explogs2trigs| |OMgetInteger| |cross| |graphCurves| |constantRight| + |alternative?| |triangularSystems| |imagK| |associatedSystem| |top!| + |linearPolynomials| |point?| |pseudoRemainder| + |ScanFloatIgnoreSpacesIfCan| |mapExpon| |duplicates| |chiSquare1| + |integrate| |setImagSteps| |indices| |factorPolynomial| |prefixRagits| + |oddInfiniteProduct| |leftRemainder| |pole?| |possiblyNewVariety?| + |wreath| |curryRight| |dn| |explimitedint| |llprop| |B1solve| + |alphanumeric| |univariateSolve| |lquo| |laplacian| |partialFraction| + |even?| |fmecg| |whitePoint| |sumOfSquares| |nil| |rightTraceMatrix| + |bumptab1| |tryFunctionalDecomposition| |splitDenominator| + |drawToScale| |categories| |localUnquote| |sequence| |iisqrt2| + |pmComplexintegrate| |ramified?| |deleteProperty!| |primeFactor| + |untab| |normalForm| |call| |swapRows!| |countRealRoots| |leftRecip| + |solve1| |stopTable!| |setMaxPoints3D| |semiResultantEuclidean2| + |level| |rightZero| |clearDenominator| |OMgetEndError| |rspace| + |schwerpunkt| |checkForZero| |checkPrecision| |solveRetract| |real?| + |green| |approximate| |asinh| |iitan| |uniform| + |useSingleFactorBound?| |makeSUP| |jordanAlgebra?| |quote| + |resultantReduit| |getExplanations| |setLabelValue| |complex| |acosh| + |f02bjf| |null?| |realZeros| |bat1| |Ei| |lexTriangular| + |mergeDifference| |trapezoidalo| |regularRepresentation| |atanh| |dom| + |findCycle| |coth2tanh| |dualSignature| |showRegion| + |createGenericMatrix| |rationalPoints| |mainForm| |rightTrace| |acoth| + |obj| |exprToUPS| |d01amf| |inputBinaryFile| |remove!| |ksec| + |positiveRemainder| |patternMatchTimes| |unit| |asech| |typeForm| + |redPo| |OMlistSymbols| |bsolve| |vectorise| |purelyTranscendental?| + |tRange| |addPoint| |UpTriBddDenomInv| |readable?| |op| |c06eaf| + |s21baf| |powmod| |delta| |getProperty| |nthFractionalTerm| + |factorset| |smith| |d01anf| |multiple| |trueEqual| |hdmpToP| + |intermediateResultsIF| |OMcloseConn| |hostPlatform| + |pointSizeDefault| |d01asf| |applyQuote| |factors| |listBranches| + |iicsc| |e04fdf| |subResultantGcdEuclidean| |normalize| + |mainVariable?| |evaluateInverse| |rename| |critpOrder| |front| + |dominantTerm| |exp1| |pushdown| |split!| |reopen!| |updatF| |largest| + |scale| |acoshIfCan| |doublyTransitive?| |charClass| |numberOfFactors| + |empty| |viewPhiDefault| |nextIrreduciblePoly| |integer?| |ruleset| + |makeTerm| |OMReadError?| |showTheSymbolTable| |prologue| |adaptive| + |critBonD| |odd?| |resetVariableOrder| |createPrimitiveNormalPoly| + |optimize| |stoseInvertible?reg| |zeroSetSplit| |normal?| + |subResultantGcd| |pushNewContour| |s18adf| |s19acf| |errorInfo| + |separate| |fortranComplex| |HermiteIntegrate| |lambda| |open?| + |order| |showIntensityFunctions| |retract| |findBinding| |iFTable| + |cdr| |zeroDim?| |bindings| |suchThat| |f2st| |OMopenFile| + |normalized?| |eigenvectors| |atrapezoidal| |concat!| |lex| |key?| + |expressIdealMember| |tanAn| |unaryFunction| + |removeRedundantFactorsInContents| |ramifiedAtInfinity?| |d02gaf| + |quadraticForm| |medialSet| |qualifier| |derivative| |insertTop!| + |f01rdf| |nthFactor| |light| |edf2df| |rightNorm| |zerosOf| + |ratDsolve| |mapUnivariate| |ranges| |symmetricPower| |cyclotomic| + |mvar| |printCode| |complexSolve| |extendedint| |dark| |round| + |shallowCopy| |putColorInfo| |infix| |getButtonValue| |stopTableGcd!| + |numberOfIrreduciblePoly| |companionBlocks| |symbolTableOf| + |fixedPointExquo| |edf2fi| |OMconnInDevice| |representationType| + |outputFixed| |linearPart| |satisfy?| |supersub| |listOfLists| + |underscore| |magnitude| |genus| |OMclose| |split| |coefficients| + |genericRightTrace| |splitNodeOf!| |leviCivitaSymbol| |reindex| + |retractable?| |cscIfCan| |mainValue| |epilogue| |fullPartialFraction| + |saturate| |imaginary| |clipPointsDefault| |collectUpper| |cartesian| + |lambert| |ef2edf| |numberOfNormalPoly| |hash| |copy!| |OMserve| + |jvmMethodrefConstantTag| |s19adf| |jvmProtected| |s18acf| + |carriageReturn| |minimumExponent| |linearAssociatedLog| |count| + |acosIfCan| |raisePolynomial| |s18aef| |mainContent| |category| + |categoryMode| |d02ejf| |factorFraction| |s19abf| |triangSolve| + |fortranLinkerArgs| |quadratic| |createIrreduciblePoly| + |rationalIfCan| |jvmSuper| |domain| |readUInt8!| |pointLists| |c02aff| + |rowEchLocal| |toseInvertibleSet| |multinomial| |f04maf| + |leftQuotient| |plus!| |generator| |OMgetError| |ellipticCylindrical| + |package| |innerEigenvectors| |bivariate?| |leftOne| |multiEuclidean| + |lifting1| |rk4qc| |const| |enqueue!| |taylorRep| |LiePolyIfCan| + |implies| |updateStatus!| |oneDimensionalArray| |minPoints| |unravel| + |mainSquareFreePart| |rightTrim| |iicosh| |sechIfCan| |properties| + |monomialIntegrate| |var1Steps| |numberOfChildren| |cfirst| + |setButtonValue| |changeMeasure| |innerSolve1| |palglimint0| + |leftTrim| |FormatArabic| |rationalPower| |e01bhf| |translate| |char| + |solveid| |jvmLongConstantTag| |ip4Address| |setEmpty!| |binomThmExpt| + |upperCase| |tower| |constantLeft| |mainDefiningPolynomial| |iiacot| + |setClosed| |rk4| |whatInfinity| |status| |sqfree| + |purelyAlgebraicLeadingMonomial?| |iisqrt3| |OMUnknownSymbol?| + |rootPoly| |hessian| |linkToFortran| |lfextlimint| |OMputEndAttr| + |solid| |nodeOf?| |coerceListOfPairs| |initiallyReduced?| + |outputAsTex| |subNodeOf?| |s17dhf| |endOfFile?| |iisech| |cyclic?| + |maxColIndex| |clipParametric| |element?| |overset?| |expintegrate| + |lagrange| |gradient| |gramschmidt| |groebnerIdeal| |c06gbf| + |factorials| |dmpToP| |quatern| |row| |stoseLastSubResultant| + |listLoops| |float| |inrootof| |alternating| |restorePrecision| + |mesh?| |dual| |stripCommentsAndBlanks| |pdf2df| |multiset| + |character?| |shiftLeft| |units| |matrix| |distFact| |imagI| + |setleaves!| |mappingAst| |OMsupportsCD?| |unparse| |completeHensel| + |optional?| |coerceS| |e02bdf| |relationsIdeal| |d02bhf| + |complexNumeric| |incr| |exponential| |composites| |digits| + |integralAtInfinity?| |degreeSubResultant| + |removeRoughlyRedundantFactorsInPols| |initializeGroupForWordProblem| + |primPartElseUnitCanonical| |partialQuotients| |singRicDE| |pointData| + |normDeriv2| |hi| |f01qef| |internalZeroSetSplit| |adjoint| + |toseLastSubResultant| |diff| |viewThetaDefault| |kernels| + |nextPrimitiveNormalPoly| |maxIndex| |logpart| |pToDmp| + |lazyResidueClass| |discreteLog| |component| |index?| |rootKerSimp| + |stosePrepareSubResAlgo| |s14aaf| |superHeight| |operator| + |rightUnits| |enterPointData| |tab1| |abelianGroup| + |commonDenominator| |makeYoungTableau| |resize| |mat| |integral?| + |code| |primextendedint| |isOp| |univariate| |f02aff| |weierstrass| + |integralRepresents| |mapmult| |options| |toScale| |complexIntegrate| + |lowerCase| |part?| |rationalFunction| |center| |constructor| + |midpoints| |transcendenceDegree| |e02aef| |members| |nthRoot| + |arguments| |quasiRegular| |viewport2D| |OMgetType| |positiveSolve| + |selectPolynomials| |transcendentalDecompose| GE |primlimitedint| + |stFunc2| |goto| |cyclicEqual?| |rur| |ratPoly| |string| |getlo| + |highCommonTerms| |parts| |argumentListOf| |complex?| GT |jvmNative| + |padecf| |factor| |jvmVolatile| |primitiveElement| |typeList| + |property| |radicalRoots| |replace| |rotatez| |graphImage| |btwFact| + |cosIfCan| |sqrt| |outputBinaryFile| |startTable!| |outputMeasure| + |sort!| |minPoints3D| |dimension| |lexGroebner| |norm| |connectTo| + |asinhIfCan| |real| |number?| |generic| |setScreenResolution3D| |rk4a| + |weight| |semiResultantEuclideannaif| |radicalEigenvalues| |tanSum| + |attributeData| |curryLeft| |precision| |imag| |bytes| |checkRur| + |scaleRoots| |alphabetic| |nextNormalPoly| |delete| |nodes| + |showTheIFTable| |leaf?| |expenseOfEvaluationIF| |directProduct| + |zCoord| |iiacsc| |moduloP| |cSin| |lift| |interpolate| + |sizePascalTriangle| |limitedIntegrate| |c06fqf| |bernoulli| + |jvmPublic| |toseSquareFreePart| |Gamma| |unmakeSUP| |dequeue| + |expenseOfEvaluation| |reduce| |tree| |cycleRagits| + |characteristicSet| |e02akf| |po| |shrinkable| |d01alf| |brace| + |OMreceive| |addMatch| |power!| |modTree| |createNormalPoly| + |jvmSynchronized| |leftPower| |points| |signAround| + |definingInequation| |destruct| |alternatingGroup| |slex| |sign| + |leftNorm| |isQuotient| |f02akf| |trigs| |leftUnit| |coHeight| + |factorGroebnerBasis| |bumprow| |quasiAlgebraicSet| |initTable!| |ran| + |OMgetEndAttr| |prime?| |irreducible?| |physicalLength!| |iiacosh| + |monicDivide| |rightCharacteristicPolynomial| |gcdPrimitive| |dfRange| + |d01fcf| |leastAffineMultiple| |makeFloatFunction| |region| + |pascalTriangle| |Lazard| |sPol| + |solveLinearPolynomialEquationByRecursion| |definingPolynomial| + |printingInfo?| |jvmFieldrefConstantTag| |f02wef| |signatureAst| + |numberOfDivisors| |e01baf| |ode| |generate| |overbar| |iiabs| + |s17dlf| |has?| |monomial| |revert| |c05adf| |isAtom| |hitherPlane| + |mainKernel| |pquo| |rewriteSetByReducingWithParticularGenerators| + |elements| |internalSubQuasiComponent?| |rightFactorIfCan| |subst| + |completeEval| |asinIfCan| |multivariate| |rischDE| + |invertibleElseSplit?| |changeVar| |incrementBy| |compdegd| |height| + |maxrank| |meshPar1Var| |coerceL| |module| |subResultantChain| + |tubePoints| |id| |divisors| |variables| |pointColorPalette| |meatAxe| + RF2UTS |useNagFunctions| |genericLeftMinimalPolynomial| |expand| + |showTheRoutinesTable| |primeFrobenius| |cothIfCan| |nothing| |lo| + |rischDEsys| |head| |postfix| |numberOfComposites| + |rightRegularRepresentation| |createLowComplexityNormalBasis| + |critMTonD1| |compile| |filterWhile| |assign| |generalLambert| + |divergence| |defineProperty| |step| |getCode| + |nextLatticePermutation| |fortranLogical| |palgint| |cycleSplit!| + |rightUnit| |represents| |e02bcf| |filterUntil| |superscript| + |squareFreePart| |leftExactQuotient| |any| |genericRightNorm| + |objects| |eulerPhi| |cAcosh| |factorSquareFreeByRecursion| |stack| + |subHeight| |zeroSquareMatrix| |log10| |select| |OMreadFile| + |rewriteIdealWithRemainder| |removeSquaresIfCan| |errorKind| |hspace| + |base| |ldf2lst| |autoReduced?| |unary?| |newTypeLists| |range| + |setright!| |bitand| |integral| |numberOfComponents| |f07adf| + |listexp| |exprex| |completeHermite| |taylor| + |generalizedContinuumHypothesisAssumed| |logGamma| |showSummary| + |extractIndex| |byte| |critMonD1| |s14baf| |bitior| |genericLeftTrace| + |horizConcat| |central?| |laurent| |trunc| |backspace| |c02agf| + |minColIndex| |setRealSteps| |lyndon| |singularitiesOf| + |degreeSubResultantEuclidean| |inverseLaplace| |e04gcf| |puiseux| + |iflist2Result| |besselK| |showAttributes| |airyBi| |vertConcat| + |LagrangeInterpolation| |leftTrace| |selectAndPolynomials| + |lieAlgebra?| |cyclicEntries| |imagj| |halfExtendedSubResultantGcd1| + |expandTrigProducts| |getBadValues| |semiIndiceSubResultantEuclidean| + |reflect| |genericRightMinimalPolynomial| |zeroDimensional?| + |symmetricDifference| |pmintegrate| |makeRecord| |ParCondList| + |selectSumOfSquaresRoutines| |commaSeparate| |sturmSequence| |exQuo| + |rootDirectory| |diophantineSystem| |parent| |possiblyInfinite?| + |adaptive?| |getOperator| |setColumn!| |leadingSupport| |inf| + |tubePointsDefault| |torsion?| |minset| |dimensions| |iiasech| + |selectOrPolynomials| |iicos| |getPickedPoints| |generalizedInverse| + |nullary| |doubleFloatFormat| |getMeasure| |writeUInt8!| |int| + |weights| |rotate!| |d01akf| |viewDeltaYDefault| |mkcomm| + |extractSplittingLeaf| |wrregime| |constant| |exteriorDifferential| + |rightRemainder| |showTheFTable| |f02xef| |mkPrim| |shuffle| |tail| + |iiacsch| |flagFactor| |simplify| |printHeader| |setlast!| |algint| + |laurentRep| |previous| |bit?| |normalDenom| + |leftRegularRepresentation| |symmetric?| |divisor| |nthExponent| + |linSolve| |initial| |irForm| |listYoungTableaus| |OMgetEndApp| + |color| |irreducibleRepresentation| |constantToUnaryFunction| + |pseudoDivide| |irCtor| |rowEchelonLocal| |setFieldInfo| |f02abf| + |harmonic| |closeComponent| |curve?| |finite?| |replaceKthElement| + |outputList| |intPatternMatch| |setOrder| |intChoose| |fortranTypeOf| + |rootNormalize| |drawStyle| |nonQsign| |apply| |basisOfCenter| + |internalAugment| |clearTheFTable| |transpose| |cAcsch| |adaptive3D?| + |sh| |particularSolution| Y |space| |sn| |makeMulti| |first| + |usingTable?| |varList| |basisOfCentroid| |outputFloating| |uniform01| + |pastel| |isPower| |length| |symmetricProduct| |rest| |orbit| |qqq| + |iicot| |cCoth| |exprToGenUPS| |intcompBasis| |matrixConcat3D| + |failed?| |figureUnits| |scripts| |ode1| |key| |getZechTable| + |routines| |arbitrary| |cos2sec| |exportedOperators| + |genericRightTraceForm| |currentScope| |mapExponents| + |createNormalElement| |GospersMethod| |point| |palgLODE0| + |mainMonomial| |log2| |insertMatch| |formfeed| |systemSizeIF| + |rightAlternative?| |monomialIntPoly| |filename| |groebgen| + |OMencodingSGML| |stirling1| |outputArgs| |generateIrredPoly| |f04jgf| + |createPrimitivePoly| |mainVariables| |resultant| |edf2ef| |qPot| + |lowerCase?| |setchildren!| |bag| |setMinPoints3D| |internalIntegrate| + |clearTheSymbolTable| |numericalIntegration| |series| |parse| |cCosh| + |s19aaf| |pointPlot| |subresultantSequence| |s17def| |trapezoidal| + |find| |maxPoints3D| |probablyZeroDim?| |lazyGintegrate| + |readLineIfCan!| |subResultantsChain| |seed| |Lazard2| |powers| + |henselFact| |transcendent?| |setProperties| |bernoulliB| |predicates| + |ode2| |vark| |Frobenius| |decompose| |f01mcf| |s21bcf| |conical| + |generalizedEigenvectors| |input| |leftLcm| |df2ef| |critB| + |repeating?| |maxdeg| |f02bbf| |unvectorise| |besselY| |gcdPolynomial| + |exactQuotient| |useSingleFactorBound| |library| |min| |dihedralGroup| + |plus| |numberOfMonomials| |c05pbf| |minimalPolynomial| + |seriesToOutputForm| |rangePascalTriangle| |fortranReal| + |roughEqualIdeals?| |readIfCan!| |viewPosDefault| |isAnd| |subscript| + |chebyshevU| |OMputEndError| |returnTypeOf| |squareTop| |besselI| + |noncommutativeJordanAlgebra?| |PDESolve| |nextsubResultant2| |value| + |nextNormalPrimitivePoly| |myDegree| |coercePreimagesImages| + |getCurve| |csc2sin| |secIfCan| |aCubic| |escape| |symmetricGroup| + |cot2tan| |mkIntegral| |support| |gbasis| |refine| |OMgetEndAtp| + |powerAssociative?| |fglmIfCan| |explicitlyEmpty?| |FormatRoman| + |times| |subresultantVector| |name| |idealiser| |reset| + |startPolynomial| |mr| |resetBadValues| |mergeFactors| |lllp| |cycles| + |iroot| |se2rfi| |roughSubIdeal?| |multiple?| |body| |basis| + |factorial| |chebyshevT| |leftReducedSystem| |mapGen| |minus!| + |s18def| |over| |pushup| |dihedral| |perfectNthPower?| |LiePoly| + |write| |cTan| |selectNonFiniteRoutines| |sortConstraints| |recip| + |oddintegers| |cylindrical| |idealSimplify| |cyclicCopy| + |processTemplate| |eisensteinIrreducible?| |save| |s17akf| |d02bbf| + |htrigs| |doubleRank| |f02awf| |bat| |modularGcdPrimitive| + |palgextint| |index| |cycle| |monom| |environment| |factor1| + |fortranInteger| |eigenvector| |node?| |safetyMargin| |upperCase!| + |colorDef| |basisOfRightAnnihilator| |lazyPremWithDefault| + |consnewpol| |subQuasiComponent?| |argscript| |writeBytes!| |sts2stst| + |unitCanonical| |argument| |cAtanh| |applyRules| |pdf2ef| |pair| + |equality| |Nul| |startStats!| ** |closed| |hasSolution?| |lp| + |complexForm| |exists?| |OMencodingBinary| |lazyIrreducibleFactors| + |common| |f04mcf| |prepareSubResAlgo| |lfunc| |palglimint| |cExp| + |aQuartic| |getOperands| |primaryDecomp| |jvmFloatConstantTag| + |complexExpand| |wronskianMatrix| |OMputSymbol| |pr2dmp| |leftFactor| + |createThreeSpace| |s20adf| |algebraicVariables| |viewSizeDefault| + |nextSubsetGray| |zag| |determinant| |rootSplit| |exactQuotient!| + |bezoutResultant| |extractBottom!| |getOrder| |port| |mightHaveRoots| + |byteBuffer| |reducedSystem| |toroidal| |ocf2ocdf| |setEpilogue!| + |show| |kind| |reverse| |composite| |irreducibleFactor| + |univariatePolynomial| |clipWithRanges| |bipolar| |OMputEndBind| + |listOfMonoms| |setAdaptive| |e02ddf| |rdHack1| + |setLegalFortranSourceExtensions| |say| |localAbs| |vconcat| |polyred| + |ref| |getRef| |e02adf| |aromberg| |useEisensteinCriterion| + |rightMult| |numericIfCan| |trace| |numFunEvals| |factorSquareFree| + |overlap| |corrPoly| |purelyAlgebraic?| |coerceP| |s17ajf| + |jvmStringConstantTag| |presub| |constantOpIfCan| + |basisOfMiddleNucleus| |sup| |screenResolution3D| |fixedDivisor| + |csch2sinh| |setLength!| |rightDivide| |iiperm| + |generalInfiniteProduct| |sqfrFactor| |df2mf| |yCoordinates| |build| + |readInt32!| |linearDependenceOverZ| |listConjugateBases| |prime| + |setnext!| |realEigenvalues| |headAst| |constantKernel| |complete| + |laplace| |mathieu11| |d02raf| |jvmPrivate| |integralLastSubResultant| + |neglist| |legendreP| |basisOfLeftNucleus| |ODESolve| |arrayStack| + |solid?| |palgintegrate| |isImplies| |leftGcd| |returns| |search| + |pow| |fibonacci| |d03edf| |critM| |disjunction| |mapUnivariateIfCan| + |pToHdmp| |basisOfLeftNucloid| |HenselLift| |mappingMode| + |unknownEndian| |pdct| |prod| |member?| |OMgetSymbol| |nextPrime| + |asecIfCan| |startTableInvSet!| |e02agf| |ridHack1| + |OMunhandledSymbol| |basisOfCommutingElements| |nthr| + |inverseIntegralMatrix| |youngGroup| |computeInt| |integerBound| + |jvmTransient| |removeSuperfluousCases| |symbolTable| |qfactor| + |cCsch| |weighted| |realElementary| |numericalOptimization| + |characteristic| |trim| |extensionDegree| |wordsForStrongGenerators| + |cycleElt| |binomial| |terms| |cycleTail| + |semiSubResultantGcdEuclidean2| |crushedSet| |Beta| |diag| |lprop| + |createZechTable| |linearAssociatedExp| |pushFortranOutputStack| + |create3Space| |iisin| |isEquiv| |Hausdorff| |midpoint| |column| + |nextPrimitivePoly| |belong?| |LyndonWordsList1| + |createLowComplexityTable| |popFortranOutputStack| |imagE| |elliptic?| + |rectangularMatrix| |e02def| |overlabel| |modifyPointData| + |variationOfParameters| |putGraph| |ListOfTerms| + |rootOfIrreduciblePoly| |fortranDouble| |outputAsFortran| + |factorsOfCyclicGroupSize| |antiCommutator| |linearMatrix| |rule| + |normalElement| |complexElementary| |exprHasWeightCosWXorSinWX| + |hyperelliptic| |combineFeatureCompatibility| |e02dff| |write!| + |rarrow| |mapBivariate| |fractRagits| |internalSubPolSet?| |minPoly| + |deepestInitial| |squareFreeFactors| |merge| |strongGenerators| + |OMgetVariable| |OMgetApp| |stoseInvertibleSetsqfreg| + |setTopPredicate| |RittWuCompare| |square?| |d02kef| |f01brf| + |setClipValue| |modularGcd| |cosh2sech| |parseString| |invertibleSet| + |plusInfinity| |OMputFloat| |moduleSum| |diagonal?| |typeLists| + |isobaric?| |swap| |splitLinear| |musserTrials| |curveColorPalette| + |union| |minusInfinity| |xCoord| |endSubProgram| |quoted?| + |loopPoints| |normInvertible?| |algebraicOf| |pleskenSplit| + |addPoint2| |rightOne| |simplifyPower| |perfectNthRoot| |c05nbf| + |SturmHabichtCoefficients| |sayLength| |simpsono| |elementary| + |trace2PowMod| |makeFR| |setAttributeButtonStep| |divideIfCan!| + |jvmInterfaceMethodConstantTag| |rootOf| |forLoop| + |multiplyCoefficients| |lSpaceBasis| |firstNumer| |rootsOf| + |distribute| |heapSort| |normalizedDivide| |cycleEntry| |pattern| + |debug| |prepareDecompose| |mapdiv| |rightGcd| |patternMatch| + |identification| |cAsech| |LazardQuotient2| |parabolicCylindrical| + |pointColorDefault| D |redpps| |extractPoint| |opeval| + |quotedOperators| |functionIsContinuousAtEndPoints| |type| |mathieu24| + |karatsuba| |edf2efi| |shufflein| |selectIntegrationRoutines| |zoom| + |hexDigit| |extractIfCan| |horizontalTab| |cardinality| + |evenInfiniteProduct| |vector| |SturmHabichtSequence| |nlde| + |clipBoolean| |lepol| |cCos| |dim| |toseInvertible?| |differentiate| + |setrest!| |sylvesterMatrix| |factorSFBRlcUnit| |f04adf| |iiGamma| + |flexible?| |sumOfDivisors| |eof?| |concat| |mirror| |realSolve| + |e02ahf| |KrullNumber| |fintegrate| |f04qaf| |e02baf| |cosSinInfo| + |jvmInterface| |quickSort| |iteratedInitials| |univariate?| + |standardBasisOfCyclicSubmodule| |quasiMonic?| |fixedPoints| + |complexEigenvectors| |indicialEquationAtInfinity| |iiasinh| |high| + |rdregime| |positive?| |clearCache| |initials| |triangulate| |sorted?| + |badNum| |fracPart| |finiteBound| |makeSin| |internalInfRittWu?| + |paren| |mainVariable| |Is| |radicalSolve| |gderiv| |bracket| + |iiacoth| |bfEntry| |polyRicDE| |complementaryBasis| |baseRDE| + |linearlyDependentOverZ?| |backOldPos| |coerceImages| |subtractIfCan| + |localReal?| |infLex?| |OMputString| |acschIfCan| |fractRadix| |print| + |chainSubResultants| |collect| |binary| |arity| |lyndon?| |laguerre| + |testDim| |resolve| |cubic| |perspective| |lintgcd| |approxNthRoot| + |c06gqf| |surface| |mesh| |extendedIntegrate| UP2UTS |convert| + |stiffnessAndStabilityFactor| |e02dcf| |s18aff| |isOpen?| |numer| + |currentSubProgram| |rightDiscriminant| |denomLODE| |tValues| |e01saf| + |roman| |zeroOf| |bubbleSort!| |leftDivide| |denom| |polygon| F2FG + |ptree| |lastSubResultantElseSplit| |list?| |leader| |f01maf| + |putProperty| |SturmHabicht| |submod| |normalDeriv| |getVariableOrder| + |setUnion| |quartic| |setRow!| |e04naf| |countRealRootsMultiple| + |linear| |title| |pi| |rotate| |commutativeEquality| |kovacic| + |calcRanges| |innerint| |safeCeiling| |removeRedundantFactorsInPols| + |mapUp!| |transform| |infinity| |getDatabase| |iiasec| + |stopMusserTrials| |deref| |polyPart| |atoms| |numberOfPrimitivePoly| + |stiffnessAndStabilityOfODEIF| |polynomial| |OMputEndBVar| + |var2StepsDefault| |indiceSubResultantEuclidean| |deepCopy| |hconcat| + |certainlySubVariety?| |e| |drawCurves| |mapDown!| |lyndonIfCan| + |meshFun2Var| |extendedResultant| |numberOfHues| |iifact| |rootPower| + |groebSolve| |chvar| |univariatePolynomials| |kernel| |e01bgf| + |debug3D| |extendedEuclidean| |conditionP| |separateFactors| + |clearTheIFTable| |nil| |infinite| |arbitraryExponent| |approximate| + |complex| |shallowMutable| |canonical| |noetherian| |central| + |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed| + |noZeroDivisors| |rightUnitary| |leftUnitary| |additiveValuation| + |unitsKnown| |canonicalUnitNormal| |multiplicativeValuation| + |finiteAggregate| |shallowlyMutable| |commutative|)
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|t#1| |t#2|) (-688 (-2 (|:| -3829 |t#1|) (|:| -2710 |t#2|))) (-10 -8 (-15 -2078 ((-3 (-2 (|:| -3829 |t#1|) (|:| -2710 |t#2|)) "failed") |t#1| $)))) -(((-34) . T) ((-107 #0=(-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T) ((-102) -2215 (|has| |#2| (-1132)) (|has| |#2| (-102)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-871)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-102))) ((-632 (-887)) -2215 (|has| |#2| (-1132)) (|has| |#2| (-632 (-887))) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-871)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-632 (-887)))) ((-153 #1=(-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T) ((-633 (-549)) |has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-633 (-549))) ((-233 #0#) . T) ((-242 #0#) . T) ((-298 #2=(-560) #1#) . T) ((-298 (-1265 (-560)) $) . T) ((-298 |#1| |#2|) . T) ((-300 #2# #1#) . T) ((-300 |#1| |#2|) . T) ((-321 #1#) -12 (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-321 (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)))) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132))) ((-321 |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-294 #1#) . T) ((-385 #1#) . T) ((-503 #1#) . T) ((-503 |#2|) . T) ((-618 #2# #1#) . T) ((-618 |#1| |#2|) . T) ((-528 #1# #1#) -12 (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-321 (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)))) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132))) ((-528 |#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-629 |#1| |#2|) . T) ((-673 #1#) . T) ((-688 #1#) . T) ((-871) |has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-871)) ((-874) |has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-871)) ((-1041 #1#) . T) ((-1132) -2215 (|has| |#2| (-1132)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-871))) ((-1181 #1#) . T) ((-1225 |#1| |#2|) . T) ((-1248) . T) ((-1287 #1#) . 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T) ((-107 #0=(-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T) ((-102) -2217 (|has| |#2| (-1132)) (|has| |#2| (-102)) (|has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-1132)) (|has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-871)) (|has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-102))) ((-632 (-887)) -2217 (|has| |#2| (-1132)) (|has| |#2| (-632 (-887))) (|has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-1132)) (|has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-871)) (|has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-632 (-887)))) ((-153 #1=(-2 (|:| -3830 |#1|) (|:| -2715 |#2|))) . T) ((-633 (-549)) |has| (-2 (|:| -3830 |#1|) (|:| -2715 |#2|)) (-633 (-549))) ((-233 #0#) . T) ((-242 #0#) . T) ((-298 #2=(-560) #1#) . T) ((-298 (-1265 (-560)) $) . T) ((-298 |#1| |#2|) . T) ((-300 #2# #1#) . T) ((-300 |#1| |#2|) . 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T) ((-102) -2215 (|has| |#2| (-1132)) (|has| |#2| (-1080)) (|has| |#2| (-871)) (|has| |#2| (-815)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-102)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-111 |#2| |#2|) -2215 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-133) -2215 (|has| |#2| (-1080)) (|has| |#2| (-815)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-21))) ((-635 #0=(-421 (-560))) -12 (|has| |#2| (-1069 (-421 (-560)))) (|has| |#2| (-1132))) ((-635 (-560)) -2215 (|has| |#2| (-1080)) (-12 (|has| |#2| (-1069 (-560))) (|has| |#2| (-1132)))) ((-635 |#2|) |has| |#2| (-1132)) ((-632 (-887)) -2215 (|has| |#2| (-1132)) (|has| |#2| (-1080)) (|has| |#2| (-871)) (|has| |#2| (-815)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-632 (-887))) (|has| |#2| (-133)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-632 (-1298 |#2|)) . T) ((-236 $) -2215 (-12 (|has| |#2| (-239)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-240)) (|has| |#2| (-1080)))) ((-234 |#2|) |has| |#2| (-1080)) ((-240) -12 (|has| |#2| (-240)) (|has| |#2| (-1080))) ((-239) -2215 (-12 (|has| |#2| (-239)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-240)) (|has| |#2| (-1080)))) ((-274 |#2|) |has| |#2| (-1080)) ((-298 #1=(-560) |#2|) . T) ((-300 #1# |#2|) . T) ((-321 |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-381) |has| |#2| (-381)) ((-390 |#2|) |has| |#2| (-1080)) ((-426 |#2|) |has| |#2| (-1132)) ((-503 |#2|) . T) ((-618 #1# |#2|) . T) ((-528 |#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-668 (-560)) -2215 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-21))) ((-668 |#2|) -2215 (|has| |#2| (-1080)) (|has| |#2| (-748)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-668 $) |has| |#2| (-1080)) ((-670 #2=(-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1080))) ((-670 |#2|) -2215 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-670 $) |has| |#2| (-1080)) ((-662 |#2|) -2215 (|has| |#2| (-748)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-660 #2#) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1080))) ((-660 |#2|) |has| |#2| (-1080)) ((-739 |#2|) -2215 (|has| |#2| (-376)) (|has| |#2| (-175))) ((-748) |has| |#2| (-1080)) ((-814) |has| |#2| (-815)) ((-815) |has| |#2| (-815)) ((-816) |has| |#2| (-815)) ((-819) |has| |#2| (-815)) ((-871) -2215 (|has| |#2| (-871)) (|has| |#2| (-815))) ((-874) -2215 (|has| |#2| (-871)) (|has| |#2| (-815))) ((-921 $ #3=(-1208)) -2215 (-12 (|has| |#2| (-929 (-1208))) (|has| |#2| (-1080))) (-12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080)))) ((-927 (-1208)) -12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080))) ((-929 #3#) -2215 (-12 (|has| |#2| (-929 (-1208))) (|has| |#2| (-1080))) (-12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080)))) ((-1069 #0#) -12 (|has| |#2| (-1069 (-421 (-560)))) (|has| |#2| (-1132))) ((-1069 (-560)) -12 (|has| |#2| (-1069 (-560))) (|has| |#2| (-1132))) ((-1069 |#2|) |has| |#2| (-1132)) ((-1082 |#2|) -2215 (|has| |#2| (-1080)) (|has| |#2| (-748)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-1087 |#2|) -2215 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-1080) |has| |#2| (-1080)) ((-1088) |has| |#2| (-1080)) ((-1143) |has| |#2| (-1080)) ((-1132) -2215 (|has| |#2| (-1132)) (|has| |#2| (-1080)) (|has| |#2| (-871)) (|has| |#2| (-815)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-1248) . 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T) ((-102) -2217 (|has| |#2| (-1132)) (|has| |#2| (-1080)) (|has| |#2| (-871)) (|has| |#2| (-815)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-102)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-111 |#2| |#2|) -2217 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-133) -2217 (|has| |#2| (-1080)) (|has| |#2| (-815)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-21))) ((-635 #0=(-421 (-560))) -12 (|has| |#2| (-1069 (-421 (-560)))) (|has| |#2| (-1132))) ((-635 (-560)) -2217 (|has| |#2| (-1080)) (-12 (|has| |#2| (-1069 (-560))) (|has| |#2| (-1132)))) ((-635 |#2|) |has| |#2| (-1132)) ((-632 (-887)) -2217 (|has| |#2| (-1132)) (|has| |#2| (-1080)) (|has| |#2| (-871)) (|has| |#2| (-815)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-632 (-887))) (|has| |#2| (-133)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-632 (-1298 |#2|)) . T) ((-236 $) -2217 (-12 (|has| |#2| (-239)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-240)) (|has| |#2| (-1080)))) ((-234 |#2|) |has| |#2| (-1080)) ((-240) -12 (|has| |#2| (-240)) (|has| |#2| (-1080))) ((-239) -2217 (-12 (|has| |#2| (-239)) (|has| |#2| (-1080))) (-12 (|has| |#2| (-240)) (|has| |#2| (-1080)))) ((-274 |#2|) |has| |#2| (-1080)) ((-298 #1=(-560) |#2|) . T) ((-300 #1# |#2|) . T) ((-321 |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-381) |has| |#2| (-381)) ((-390 |#2|) |has| |#2| (-1080)) ((-426 |#2|) |has| |#2| (-1132)) ((-503 |#2|) . T) ((-618 #1# |#2|) . T) ((-528 |#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-668 (-560)) -2217 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-21))) ((-668 |#2|) -2217 (|has| |#2| (-1080)) (|has| |#2| (-748)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-668 $) |has| |#2| (-1080)) ((-670 #2=(-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1080))) ((-670 |#2|) -2217 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-670 $) |has| |#2| (-1080)) ((-662 |#2|) -2217 (|has| |#2| (-748)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-660 #2#) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1080))) ((-660 |#2|) |has| |#2| (-1080)) ((-739 |#2|) -2217 (|has| |#2| (-376)) (|has| |#2| (-175))) ((-748) |has| |#2| (-1080)) ((-814) |has| |#2| (-815)) ((-815) |has| |#2| (-815)) ((-816) |has| |#2| (-815)) ((-819) |has| |#2| (-815)) ((-871) -2217 (|has| |#2| (-871)) (|has| |#2| (-815))) ((-874) -2217 (|has| |#2| (-871)) (|has| |#2| (-815))) ((-921 $ #3=(-1208)) -2217 (-12 (|has| |#2| (-929 (-1208))) (|has| |#2| (-1080))) (-12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080)))) ((-927 (-1208)) -12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080))) ((-929 #3#) -2217 (-12 (|has| |#2| (-929 (-1208))) (|has| |#2| (-1080))) (-12 (|has| |#2| (-927 (-1208))) (|has| |#2| (-1080)))) ((-1069 #0#) -12 (|has| |#2| (-1069 (-421 (-560)))) (|has| |#2| (-1132))) ((-1069 (-560)) -12 (|has| |#2| (-1069 (-560))) (|has| |#2| (-1132))) ((-1069 |#2|) |has| |#2| (-1132)) ((-1082 |#2|) -2217 (|has| |#2| (-1080)) (|has| |#2| (-748)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-1087 |#2|) -2217 (|has| |#2| (-1080)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-1080) |has| |#2| (-1080)) ((-1088) |has| |#2| (-1080)) ((-1143) |has| |#2| (-1080)) ((-1132) -2217 (|has| |#2| (-1132)) (|has| |#2| (-1080)) (|has| |#2| (-871)) (|has| |#2| (-815)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-1248) . 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T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2215 (|has| |#1| (-1069 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-635 |#2|) . T) ((-635 |#3|) . T) ((-635 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-632 (-887)) . T) ((-175) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| |#1| (-633 (-549))) (|has| |#3| (-633 (-549)))) ((-633 (-915 (-391))) -12 (|has| |#1| (-633 (-915 (-391)))) (|has| |#3| (-633 (-915 (-391))))) ((-633 (-915 (-560))) -12 (|has| |#1| (-633 (-915 (-560)))) (|has| |#3| (-633 (-915 (-560))))) ((-236 $) -2215 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-234 |#1|) . T) ((-240) |has| |#1| (-240)) ((-239) -2215 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-274 |#1|) . T) ((-302) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-321 $) . T) ((-338 |#1| |#4|) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2215 (|has| |#1| (-939)) (|has| |#1| (-466))) ((-528 |#2| |#1|) |has| |#1| (-240)) ((-528 |#2| $) |has| |#1| (-240)) ((-528 |#3| |#1|) . T) ((-528 |#3| $) . T) ((-528 $ $) . T) ((-571) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-668 #0#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 #1=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-660 #1#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-748) . T) ((-921 $ #2=(-1208)) -2215 (|has| |#1| (-929 (-1208))) (|has| |#1| (-927 (-1208)))) ((-921 $ |#3|) . T) ((-927 (-1208)) |has| |#1| (-927 (-1208))) ((-927 |#3|) . T) ((-929 #2#) -2215 (|has| |#1| (-929 (-1208))) (|has| |#1| (-927 (-1208)))) ((-929 |#3|) . T) ((-911 (-391)) -12 (|has| |#1| (-911 (-391))) (|has| |#3| (-911 (-391)))) ((-911 (-560)) -12 (|has| |#1| (-911 (-560))) (|has| |#3| (-911 (-560)))) ((-979 |#1| |#4| |#3|) . T) ((-939) |has| |#1| (-939)) ((-1069 (-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) ((-1069 (-560)) |has| |#1| (-1069 (-560))) ((-1069 |#1|) . T) ((-1069 |#2|) . T) ((-1069 |#3|) . T) ((-1082 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1082 |#1|) . T) ((-1082 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1087 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1087 |#1|) . T) ((-1087 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1080) . T) ((-1088) . T) ((-1143) . T) ((-1132) . T) ((-1248) . T) ((-1253) |has| |#1| (-939))) -((-2327 (((-114) $ $) 22 (|has| |#1| (-102)) ELT)) (-1402 ((|#1| $) 61 T ELT)) (-2814 ((|#1| $) 51 T ELT)) (-4268 (((-114) $ (-793)) 8 T ELT)) (-1990 (($) 7 T CONST)) (-3951 (($ $) 67 T ELT)) (-3405 (($ $) 55 T ELT)) (-3430 ((|#1| |#1| $) 53 T ELT)) (-4388 ((|#1| $) 52 T ELT)) (-3432 (((-663 |#1|) $) 33 (|has| $ (-6 -4509)) ELT)) (-1754 (((-114) $ (-793)) 9 T ELT)) (-2536 (((-663 |#1|) $) 32 (|has| $ (-6 -4509)) ELT)) (-3542 (((-114) |#1| $) 30 (-12 (|has| |#1| (-1132)) (|has| $ (-6 -4509))) ELT)) (-2199 (($ (-1 |#1| |#1|) $) 37 (|has| $ (-6 -4510)) ELT)) (-2092 (($ (-1 |#1| |#1|) $) 38 T ELT)) (-1389 (((-114) $ (-793)) 10 T ELT)) (-3815 (((-793) $) 68 T ELT)) (-3411 (((-1190) $) 25 (|has| |#1| (-1132)) ELT)) (-2755 ((|#1| $) 46 T ELT)) (-2507 ((|#1| |#1| $) 59 T ELT)) (-3088 ((|#1| |#1| $) 58 T ELT)) (-2334 (($ |#1| $) 47 T ELT)) (-3586 (((-793) $) 62 T ELT)) (-3199 (((-1151) $) 24 (|has| |#1| (-1132)) ELT)) (-1845 ((|#1| $) 69 T ELT)) (-2690 ((|#1| $) 57 T ELT)) (-2138 ((|#1| $) 56 T ELT)) (-1484 ((|#1| $) 48 T ELT)) (-3324 (((-114) (-1 (-114) |#1|) $) 35 (|has| $ (-6 -4509)) ELT)) (-2849 (($ $ (-663 (-305 |#1|))) 29 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132))) ELT) (($ $ (-305 |#1|)) 28 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132))) ELT) (($ $ |#1| |#1|) 27 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132))) ELT) (($ $ (-663 |#1|) (-663 |#1|)) 26 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1132))) ELT)) (-4132 (((-114) $ $) 14 T ELT)) (-2520 ((|#1| |#1| $) 65 T ELT)) (-2686 (((-114) $) 11 T ELT)) (-2628 (($) 12 T ELT)) (-1392 ((|#1| $) 66 T ELT)) (-4234 (($) 64 T ELT) (($ (-663 |#1|)) 63 T ELT)) (-1483 (((-793) $) 50 T ELT)) (-3208 (((-793) (-1 (-114) |#1|) $) 34 (|has| $ (-6 -4509)) ELT) (((-793) |#1| $) 31 (-12 (|has| |#1| (-1132)) (|has| $ (-6 -4509))) ELT)) (-2773 (($ $) 13 T ELT)) (-2582 (((-887) $) 20 (|has| |#1| (-632 (-887))) ELT)) (-4417 ((|#1| $) 60 T ELT)) (-3320 (((-114) $ $) 23 (|has| |#1| (-102)) ELT)) (-2895 (($ (-663 |#1|)) 49 T ELT)) (-4369 ((|#1| $) 70 T ELT)) (-1776 (((-114) (-1 (-114) |#1|) $) 36 (|has| $ (-6 -4509)) ELT)) (-2361 (((-114) $ $) 21 (|has| |#1| (-102)) ELT)) (-2338 (((-793) $) 6 (|has| $ (-6 -4509)) ELT))) +((-2113 (*1 *2 *3) (-12 (-4 *4 (-1080)) (-4 *3 (-871)) (-4 *5 (-277 *3)) (-4 *6 (-815)) (-5 *2 (-1 *1 (-793))) (-4 *1 (-262 *4 *3 *5 *6)))) (-2675 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-277 *4)) (-4 *6 (-815)) (-5 *2 (-663 *4)))) (-3123 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1080)) (-4 *3 (-871)) (-4 *5 (-277 *3)) (-4 *6 (-815)) (-5 *2 (-793)))) (-3123 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-277 *4)) (-4 *6 (-815)) (-5 *2 (-793)))) (-2481 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1080)) (-4 *3 (-871)) (-4 *5 (-277 *3)) (-4 *6 (-815)) (-5 *2 (-793)))) (-3740 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-277 *4)) (-4 *6 (-815)) (-5 *2 (-663 (-793))))) (-3471 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-277 *4)) (-4 *6 (-815)) (-5 *2 (-793)))) (-3740 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1080)) (-4 *3 (-871)) (-4 *5 (-277 *3)) (-4 *6 (-815)) (-5 *2 (-663 (-793))))) (-3471 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1080)) (-4 *3 (-871)) (-4 *5 (-277 *3)) (-4 *6 (-815)) (-5 *2 (-793)))) (-4257 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-277 *4)) (-4 *6 (-815)) (-5 *2 (-114)))) (-4431 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *2 *5)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-815)) (-4 *2 (-277 *4)))) (-3770 (*1 *1 *1) (-12 (-4 *1 (-262 *2 *3 *4 *5)) (-4 *2 (-1080)) (-4 *3 (-871)) (-4 *4 (-277 *3)) (-4 *5 (-815)))) (-2736 (*1 *1 *1) (-12 (-4 *1 (-262 *2 *3 *4 *5)) (-4 *2 (-1080)) (-4 *3 (-871)) (-4 *4 (-277 *3)) (-4 *5 (-815)))) (-2113 (*1 *2 *1) (-12 (-4 *3 (-240)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-277 *4)) (-4 *6 (-815)) (-5 *2 (-1 *1 (-793))) (-4 *1 (-262 *3 *4 *5 *6))))) +(-13 (-979 |t#1| |t#4| |t#3|) (-234 |t#1|) (-1069 |t#2|) (-10 -8 (-15 -2113 ((-1 $ (-793)) |t#2|)) (-15 -2675 ((-663 |t#2|) $)) (-15 -3123 ((-793) $ |t#2|)) (-15 -3123 ((-793) $)) (-15 -2481 ((-793) $ |t#2|)) (-15 -3740 ((-663 (-793)) $)) (-15 -3471 ((-793) $)) (-15 -3740 ((-663 (-793)) $ |t#2|)) (-15 -3471 ((-793) $ |t#2|)) (-15 -4257 ((-114) $)) (-15 -4431 (|t#3| $)) (-15 -3770 ($ $)) (-15 -2736 ($ $)) (IF (|has| |t#1| (-240)) (PROGN (-6 (-528 |t#2| |t#1|)) (-6 (-528 |t#2| $)) (-6 (-321 $)) (-15 -2113 ((-1 $ (-793)) $))) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2217 (|has| |#1| (-1069 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-635 |#2|) . T) ((-635 |#3|) . T) ((-635 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-632 (-887)) . T) ((-175) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| |#1| (-633 (-549))) (|has| |#3| (-633 (-549)))) ((-633 (-915 (-391))) -12 (|has| |#1| (-633 (-915 (-391)))) (|has| |#3| (-633 (-915 (-391))))) ((-633 (-915 (-560))) -12 (|has| |#1| (-633 (-915 (-560)))) (|has| |#3| (-633 (-915 (-560))))) ((-236 $) -2217 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-234 |#1|) . T) ((-240) |has| |#1| (-240)) ((-239) -2217 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-274 |#1|) . T) ((-302) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-321 $) . T) ((-338 |#1| |#4|) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2217 (|has| |#1| (-939)) (|has| |#1| (-466))) ((-528 |#2| |#1|) |has| |#1| (-240)) ((-528 |#2| $) |has| |#1| (-240)) ((-528 |#3| |#1|) . T) ((-528 |#3| $) . T) ((-528 $ $) . T) ((-571) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-668 #0#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 #1=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-660 #1#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-748) . T) ((-921 $ #2=(-1208)) -2217 (|has| |#1| (-929 (-1208))) (|has| |#1| (-927 (-1208)))) ((-921 $ |#3|) . T) ((-927 (-1208)) |has| |#1| (-927 (-1208))) ((-927 |#3|) . T) ((-929 #2#) -2217 (|has| |#1| (-929 (-1208))) (|has| |#1| (-927 (-1208)))) ((-929 |#3|) . T) ((-911 (-391)) -12 (|has| |#1| (-911 (-391))) (|has| |#3| (-911 (-391)))) ((-911 (-560)) -12 (|has| |#1| (-911 (-560))) (|has| |#3| (-911 (-560)))) ((-979 |#1| |#4| |#3|) . T) ((-939) |has| |#1| (-939)) ((-1069 (-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) ((-1069 (-560)) |has| |#1| (-1069 (-560))) ((-1069 |#1|) . T) ((-1069 |#2|) . T) ((-1069 |#3|) . T) ((-1082 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1082 |#1|) . T) ((-1082 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1087 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1087 |#1|) . T) ((-1087 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1080) . T) ((-1088) . T) ((-1143) . T) ((-1132) . T) ((-1248) . 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T) ((-107 #0=(-2 (|:| -3829 |#1|) (|:| -2710 |#2|))) . T) ((-102) -2215 (|has| |#2| (-1132)) (|has| |#2| (-102)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-102))) ((-632 (-887)) -2215 (|has| |#2| (-1132)) (|has| |#2| (-632 (-887))) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-632 (-887)))) ((-153 #0#) . T) ((-633 (-549)) |has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-633 (-549))) ((-233 #0#) . T) ((-242 #0#) . T) ((-298 |#1| |#2|) . T) ((-300 |#1| |#2|) . T) ((-321 #0#) -12 (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-321 (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)))) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132))) ((-321 |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-503 #0#) . T) ((-503 |#2|) . T) ((-618 |#1| |#2|) . T) ((-528 #0# #0#) -12 (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-321 (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)))) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132))) ((-528 |#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1132))) ((-629 |#1| |#2|) . T) ((-1132) -2215 (|has| |#2| (-1132)) (|has| (-2 (|:| -3829 |#1|) (|:| -2710 |#2|)) (-1132))) ((-1248) . 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T) ((-23) . T) ((-47 |#1| #0=(-560)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-38 |#1|) |has| |#1| (-175)) ((-38 |#2|) |has| |#1| (-376)) ((-38 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-35) |has| |#1| (-38 (-421 (-560)))) ((-95) |has| |#1| (-38 (-421 (-560)))) ((-102) . T) ((-111 #1# #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-111 |#1| |#1|) . T) ((-111 |#2| |#2|) |has| |#1| (-376)) ((-111 $ $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) -2215 (-12 (|has| |#1| (-376)) (|has| |#2| (-147))) (|has| |#1| (-147))) ((-149) -2215 (-12 (|has| |#1| (-376)) (|has| |#2| (-149))) (|has| |#1| (-149))) ((-635 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1208)) -12 (|has| |#1| (-376)) (|has| |#2| (-1069 (-1208)))) ((-635 |#1|) |has| |#1| (-175)) ((-635 |#2|) . 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T) ((-175) -2215 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-229)) -12 (|has| |#1| (-376)) (|has| |#2| (-1051))) ((-633 (-391)) -12 (|has| |#1| (-376)) (|has| |#2| (-1051))) ((-633 (-549)) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-549)))) ((-633 (-915 (-391))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-915 (-391))))) ((-633 (-915 (-560))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-915 (-560))))) ((-236 $) -2215 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-234 |#2|) |has| |#1| (-376)) ((-240) -2215 (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-239) -2215 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-274 |#2|) |has| |#1| (-376)) ((-250) |has| |#1| (-376)) ((-296) |has| |#1| (-38 (-421 (-560)))) ((-298 #0# |#1|) . T) ((-298 |#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) ((-298 $ $) |has| (-560) (-1143)) ((-302) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-376) |has| |#1| (-376)) ((-351 |#2|) |has| |#1| (-376)) ((-390 |#2|) |has| |#1| (-376)) ((-414 |#2|) |has| |#1| (-376)) ((-466) |has| |#1| (-376)) ((-507) |has| |#1| (-38 (-421 (-560)))) ((-528 (-1208) |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-528 (-1208) |#2|))) ((-528 |#2| |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-571) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-668 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 |#2|) |has| |#1| (-376)) ((-668 $) . T) ((-670 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-670 #3=(-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-670 |#1|) . T) ((-670 |#2|) |has| |#1| (-376)) ((-670 $) . T) ((-662 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-662 |#1|) |has| |#1| (-175)) ((-662 |#2|) |has| |#1| (-376)) ((-662 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-660 #3#) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-660 |#2|) |has| |#1| (-376)) ((-739 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-739 |#1|) |has| |#1| (-175)) ((-739 |#2|) |has| |#1| (-376)) ((-739 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-748) . 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T) ((-23) . T) ((-47 |#1| #0=(-560)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-38 |#1|) |has| |#1| (-175)) ((-38 |#2|) |has| |#1| (-376)) ((-38 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-35) |has| |#1| (-38 (-421 (-560)))) ((-95) |has| |#1| (-38 (-421 (-560)))) ((-102) . T) ((-111 #1# #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-111 |#1| |#1|) . T) ((-111 |#2| |#2|) |has| |#1| (-376)) ((-111 $ $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-147))) (|has| |#1| (-147))) ((-149) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-149))) (|has| |#1| (-149))) ((-635 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1208)) -12 (|has| |#1| (-376)) (|has| |#2| (-1069 (-1208)))) ((-635 |#1|) |has| |#1| (-175)) ((-635 |#2|) . T) ((-635 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-632 (-887)) . T) ((-175) -2217 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-229)) -12 (|has| |#1| (-376)) (|has| |#2| (-1051))) ((-633 (-391)) -12 (|has| |#1| (-376)) (|has| |#2| (-1051))) ((-633 (-549)) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-549)))) ((-633 (-915 (-391))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-915 (-391))))) ((-633 (-915 (-560))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-915 (-560))))) ((-236 $) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-234 |#2|) |has| |#1| (-376)) ((-240) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-239) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-274 |#2|) |has| |#1| (-376)) ((-250) |has| |#1| (-376)) ((-296) |has| |#1| (-38 (-421 (-560)))) ((-298 #0# |#1|) . T) ((-298 |#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) ((-298 $ $) |has| (-560) (-1143)) ((-302) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-376) |has| |#1| (-376)) ((-351 |#2|) |has| |#1| (-376)) ((-390 |#2|) |has| |#1| (-376)) ((-414 |#2|) |has| |#1| (-376)) ((-466) |has| |#1| (-376)) ((-507) |has| |#1| (-38 (-421 (-560)))) ((-528 (-1208) |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-528 (-1208) |#2|))) ((-528 |#2| |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-571) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-668 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 |#2|) |has| |#1| (-376)) ((-668 $) . T) ((-670 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-670 #3=(-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-670 |#1|) . T) ((-670 |#2|) |has| |#1| (-376)) ((-670 $) . T) ((-662 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-662 |#1|) |has| |#1| (-175)) ((-662 |#2|) |has| |#1| (-376)) ((-662 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-660 #3#) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-660 |#2|) |has| |#1| (-376)) ((-739 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-739 |#1|) |has| |#1| (-175)) ((-739 |#2|) |has| |#1| (-376)) ((-739 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-748) . T) ((-813) -12 (|has| |#1| (-376)) (|has| |#2| (-842))) ((-814) -12 (|has| |#1| (-376)) (|has| |#2| (-842))) ((-816) -12 (|has| |#1| (-376)) (|has| |#2| (-842))) ((-819) -12 (|has| |#1| (-376)) (|has| |#2| (-842))) ((-842) -12 (|has| |#1| (-376)) (|has| |#2| (-842))) ((-870) -12 (|has| |#1| (-376)) (|has| |#2| (-842))) ((-871) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-871))) (-12 (|has| |#1| (-376)) (|has| |#2| (-842)))) ((-874) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-871))) (-12 (|has| |#1| (-376)) (|has| |#2| (-842)))) ((-921 $ #4=(-1208)) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-929 (-1208)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-927 (-1208)))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208))))) ((-927 (-1208)) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-927 (-1208)))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208))))) ((-929 #4#) -2217 (-12 (|has| |#1| (-376)) (|has| |#2| (-929 (-1208)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-927 (-1208)))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-927 (-1208))))) ((-911 (-391)) -12 (|has| |#1| (-376)) (|has| |#2| (-911 (-391)))) ((-911 (-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-911 (-560)))) ((-909 |#2|) |has| |#1| (-376)) ((-939) -12 (|has| |#1| (-376)) (|has| |#2| (-939))) ((-1004 |#1| #0# (-1113)) . T) ((-950) |has| |#1| (-376)) ((-1022 |#2|) |has| |#1| (-376)) ((-1033) |has| |#1| (-38 (-421 (-560)))) ((-1051) -12 (|has| |#1| (-376)) (|has| |#2| (-1051))) ((-1069 (-421 (-560))) -12 (|has| |#1| (-376)) (|has| |#2| (-1069 (-560)))) ((-1069 (-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-1069 (-560)))) ((-1069 #2#) -12 (|has| |#1| (-376)) (|has| |#2| (-1069 (-1208)))) ((-1069 |#2|) . T) ((-1082 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1082 |#1|) . T) ((-1082 |#2|) |has| |#1| (-376)) ((-1082 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1087 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1087 |#1|) . T) ((-1087 |#2|) |has| |#1| (-376)) ((-1087 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1080) . T) ((-1088) . T) ((-1143) . T) ((-1132) . T) ((-1183) -12 (|has| |#1| (-376)) (|has| |#2| (-1183))) ((-1234) |has| |#1| (-38 (-421 (-560)))) ((-1237) |has| |#1| (-38 (-421 (-560)))) ((-1248) . T) ((-1253) |has| |#1| (-376)) ((-1260 |#1|) . T) ((-1277 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-793)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #1#) -2215 (|has| |#1| (-1069 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1113)) . T) ((-635 |#1|) . T) ((-635 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-632 (-887)) . T) ((-175) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| (-1113) (-633 (-549))) (|has| |#1| (-633 (-549)))) ((-633 (-915 (-391))) -12 (|has| (-1113) (-633 (-915 (-391)))) (|has| |#1| (-633 (-915 (-391))))) ((-633 (-915 (-560))) -12 (|has| (-1113) (-633 (-915 (-560)))) (|has| |#1| (-633 (-915 (-560))))) ((-236 $) . T) ((-234 |#1|) . T) ((-240) . T) ((-239) . T) ((-274 |#1|) . T) ((-298 (-421 $) (-421 $)) |has| |#1| (-571)) ((-298 |#1| |#1|) . T) ((-298 $ $) . T) ((-302) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 $) . T) ((-338 |#1| #0#) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2215 (|has| |#1| (-939)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-528 #2# |#1|) . T) ((-528 #2# $) . T) ((-528 $ $) . T) ((-571) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-668 #1#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #1#) |has| |#1| (-38 (-421 (-560)))) ((-670 #3=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #1#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-660 #3#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #1#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-748) . T) ((-921 $ #2#) . T) ((-921 $ #4=(-1208)) -2215 (|has| |#1| (-929 (-1208))) (|has| |#1| (-927 (-1208)))) ((-927 #2#) . T) ((-927 (-1208)) |has| |#1| (-927 (-1208))) ((-929 #2#) . T) ((-929 #4#) -2215 (|has| |#1| (-929 (-1208))) (|has| |#1| (-927 (-1208)))) ((-911 (-391)) -12 (|has| (-1113) (-911 (-391))) (|has| |#1| (-911 (-391)))) ((-911 (-560)) -12 (|has| (-1113) (-911 (-560))) (|has| |#1| (-911 (-560)))) ((-979 |#1| #0# #2#) . T) ((-939) |has| |#1| (-939)) ((-950) |has| |#1| (-376)) ((-1069 (-421 (-560))) |has| |#1| (-1069 (-421 (-560)))) ((-1069 (-560)) |has| |#1| (-1069 (-560))) ((-1069 #2#) . T) ((-1069 |#1|) . T) ((-1082 #1#) |has| |#1| (-38 (-421 (-560)))) ((-1082 |#1|) . T) ((-1082 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1087 #1#) |has| |#1| (-38 (-421 (-560)))) ((-1087 |#1|) . T) ((-1087 $) -2215 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1080) . T) ((-1088) . T) ((-1143) . T) ((-1132) . T) ((-1183) |has| |#1| (-1183)) ((-1248) . 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T) ((-23) . T) ((-47 |#1| #0=(-793)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #1#) -2217 (|has| |#1| (-1069 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1113)) . T) ((-635 |#1|) . T) ((-635 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-632 (-887)) . T) ((-175) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| (-1113) (-633 (-549))) (|has| |#1| (-633 (-549)))) ((-633 (-915 (-391))) -12 (|has| (-1113) (-633 (-915 (-391)))) (|has| |#1| (-633 (-915 (-391))))) ((-633 (-915 (-560))) -12 (|has| (-1113) (-633 (-915 (-560)))) (|has| |#1| (-633 (-915 (-560))))) ((-236 $) . T) ((-234 |#1|) . T) ((-240) . T) ((-239) . T) ((-274 |#1|) . T) ((-298 (-421 $) (-421 $)) |has| |#1| (-571)) ((-298 |#1| |#1|) . T) ((-298 $ $) . T) ((-302) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 $) . T) ((-338 |#1| #0#) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2217 (|has| |#1| (-939)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-528 #2# |#1|) . T) ((-528 #2# $) . T) ((-528 $ $) . T) ((-571) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-668 #1#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #1#) |has| |#1| (-38 (-421 (-560)))) ((-670 #3=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #1#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-660 #3#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #1#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2217 (|has| |#1| (-939)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-748) . T) ((-921 $ #2#) . T) ((-921 $ #4=(-1208)) -2217 (|has| |#1| (-929 (-1208))) (|has| |#1| (-927 (-1208)))) ((-927 #2#) . T) ((-927 (-1208)) |has| |#1| (-927 (-1208))) ((-929 #2#) . 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T) ((-662 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-739 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-748) . T) ((-921 $ #2=(-1208)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208)))) ((-927 #2#) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208)))) ((-929 #2#) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-927 (-1208)))) ((-1004 |#1| #0# (-1113)) . T) ((-950) |has| |#1| (-376)) ((-1033) |has| |#1| (-38 (-421 (-560)))) ((-1082 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1082 |#1|) . T) ((-1082 $) -2217 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1087 #1#) -2217 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1087 |#1|) . 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T) ((-23) . T) ((-47 |#1| #0=(-421 (-560))) . T) ((-25) . T) ((-38 #1=(-421 (-560))) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-35) |has| |#1| (-38 (-421 (-560)))) ((-95) |has| |#1| (-38 (-421 (-560)))) ((-102) . T) ((-111 #1# #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 |#1|) |has| |#1| (-175)) ((-635 |#2|) . T) ((-635 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-632 (-887)) . T) ((-175) -2215 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-236 $) |has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) ((-240) |has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) ((-239) |has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) ((-250) |has| |#1| (-376)) ((-296) |has| |#1| (-38 (-421 (-560)))) ((-298 #0# |#1|) . T) ((-298 $ $) |has| (-421 (-560)) (-1143)) ((-302) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-376) |has| |#1| (-376)) ((-466) |has| |#1| (-376)) ((-507) |has| |#1| (-38 (-421 (-560)))) ((-571) -2215 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-668 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #1#) -2215 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-670 |#1|) . T) ((-670 $) . 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T) ((-1087 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1080) . T) ((-1088) . T) ((-1143) . T) ((-1132) . T) ((-1234) |has| |#1| (-38 (-421 (-560)))) ((-1237) |has| |#1| (-38 (-421 (-560)))) ((-1248) . T) ((-1253) |has| |#1| (-376)) ((-1277 |#1| #0#) . T) ((-1281 |#1|) . 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T) ((-23) . T) ((-47 |#1| #0=(-793)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) |has| |#1| (-571)) ((-35) |has| |#1| (-38 (-421 (-560)))) ((-95) |has| |#1| (-38 (-421 (-560)))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2215 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #1#) |has| |#1| (-38 (-421 (-560)))) ((-635 (-560)) . T) ((-635 |#1|) |has| |#1| (-175)) ((-635 $) |has| |#1| (-571)) ((-632 (-887)) . T) ((-175) -2215 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-236 $) |has| |#1| (-15 * (|#1| (-793) |#1|))) ((-240) |has| |#1| (-15 * (|#1| (-793) |#1|))) ((-239) |has| |#1| (-15 * (|#1| (-793) |#1|))) ((-296) |has| |#1| (-38 (-421 (-560)))) ((-298 #0# |#1|) . 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T) ((-1082 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-1087 #1#) |has| |#1| (-38 (-421 (-560)))) ((-1087 |#1|) . T) ((-1087 $) -2215 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-1080) . T) ((-1088) . T) ((-1143) . T) ((-1132) . T) ((-1234) |has| |#1| (-38 (-421 (-560)))) ((-1237) |has| |#1| (-38 (-421 (-560)))) ((-1248) . T) ((-1277 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-793)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) |has| |#1| (-571)) ((-35) |has| |#1| (-38 (-421 (-560)))) ((-95) |has| |#1| (-38 (-421 (-560)))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2217 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #1#) |has| |#1| (-38 (-421 (-560)))) ((-635 (-560)) . T) ((-635 |#1|) |has| |#1| (-175)) ((-635 $) |has| |#1| (-571)) ((-632 (-887)) . T) ((-175) -2217 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-236 $) |has| |#1| (-15 * (|#1| (-793) |#1|))) ((-240) |has| |#1| (-15 * (|#1| (-793) |#1|))) ((-239) |has| |#1| (-15 * (|#1| (-793) |#1|))) ((-296) |has| |#1| (-38 (-421 (-560)))) ((-298 #0# |#1|) . 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3473718 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3473693 3473698 3473703 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3473678 3473683 3473688 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3473663 3473668 3473673 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1328 3472649 3473538 3473615 "ZMOD" 3473620 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1327 3471685 3471867 3472090 "ZLINDEP" 3472481 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1326 3460847 3462753 3464725 "ZDSOLVE" 3469815 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1325 3460081 3460234 3460423 "YSTREAM" 3460693 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1324 3459441 3459750 3459865 "YDIAGRAM" 3459988 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1323 3456889 3458742 3458946 "XRPOLY" 3459284 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1322 3453156 3454760 3455335 "XPR" 3456361 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1321 3450487 3452163 3452218 "XPOLYC" 3452506 NIL XPOLYC (NIL T T) -9 NIL 3452619 NIL) (-1320 3447882 3449818 3450022 "XPOLY" 3450318 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1319 3443828 3446399 3446787 "XPBWPOLY" 3447540 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1318 3438720 3440299 3440354 "XFALG" 3442526 NIL XFALG (NIL T T) -9 NIL 3443315 NIL) (-1317 3433983 3436696 3436738 "XF" 3437359 NIL XF (NIL T) -9 NIL 3437759 NIL) (-1316 3433580 3433692 3433861 "XF-" 3433866 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1315 3432695 3432817 3433022 "XEXPPKG" 3433472 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1314 3430436 3432545 3432641 "XDPOLY" 3432646 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1313 3429091 3429829 3429872 "XALG" 3429877 NIL XALG (NIL T) -9 NIL 3429988 NIL) (-1312 3422001 3427068 3427562 "WUTSET" 3428683 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1311 3420103 3421053 3421376 "WP" 3421812 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1310 3419651 3419925 3419995 "WHILEAST" 3420055 T WHILEAST (NIL) -8 NIL NIL NIL) (-1309 3419063 3419368 3419462 "WHEREAST" 3419579 T WHEREAST (NIL) -8 NIL NIL NIL) (-1308 3417937 3418147 3418442 "WFFINTBS" 3418860 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1307 3415805 3416268 3416730 "WEIER" 3417509 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1306 3414729 3415287 3415329 "VSPACE" 3415465 NIL VSPACE (NIL T) -9 NIL 3415539 NIL) (-1305 3414561 3414594 3414685 "VSPACE-" 3414690 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1304 3414358 3414412 3414480 "VOID" 3414515 T VOID (NIL) -8 NIL NIL NIL) (-1303 3410626 3411421 3412158 "VIEWDEF" 3413643 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1302 3399570 3402174 3404347 "VIEW3D" 3408475 T VIEW3D (NIL) -8 NIL NIL NIL) (-1301 3391587 3393481 3395060 "VIEW2D" 3398013 T VIEW2D (NIL) -8 NIL NIL NIL) (-1300 3389687 3390082 3390488 "VIEW" 3391203 T VIEW (NIL) -7 NIL NIL NIL) (-1299 3388240 3388523 3388841 "VECTOR2" 3389417 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1298 3383146 3388010 3388102 "VECTOR" 3388183 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1297 3376091 3380850 3380893 "VECTCAT" 3381888 NIL VECTCAT (NIL T) -9 NIL 3382475 NIL) (-1296 3375033 3375359 3375749 "VECTCAT-" 3375754 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1295 3374439 3374684 3374804 "VARIABLE" 3374948 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1294 3374372 3374377 3374407 "UTYPE" 3374412 T UTYPE (NIL) -9 NIL NIL NIL) (-1293 3373180 3373356 3373618 "UTSODETL" 3374198 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1292 3370572 3371080 3371604 "UTSODE" 3372721 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1291 3360575 3366505 3366548 "UTSCAT" 3367660 NIL UTSCAT (NIL T) -9 NIL 3368418 NIL) (-1290 3357701 3358645 3359634 "UTSCAT-" 3359639 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1289 3357322 3357371 3357504 "UTS2" 3357652 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1288 3348632 3355083 3355563 "UTS" 3356900 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1287 3342499 3345442 3345485 "URAGG" 3347555 NIL URAGG (NIL T) -9 NIL 3348278 NIL) (-1286 3339222 3340301 3341424 "URAGG-" 3341429 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1285 3334591 3337857 3338322 "UPXSSING" 3338886 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1284 3327006 3334495 3334567 "UPXSCONS" 3334572 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1283 3315750 3323208 3323270 "UPXSCCA" 3323844 NIL UPXSCCA (NIL T T) -9 NIL 3324077 NIL) (-1282 3315370 3315473 3315647 "UPXSCCA-" 3315652 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1281 3304014 3311197 3311240 "UPXSCAT" 3311888 NIL UPXSCAT (NIL T) -9 NIL 3312497 NIL) (-1280 3303438 3303523 3303702 "UPXS2" 3303929 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1279 3294916 3302820 3303084 "UPXS" 3303232 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1278 3293552 3293823 3294174 "UPSQFREE" 3294659 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1277 3286376 3289818 3289873 "UPSCAT" 3290953 NIL UPSCAT (NIL T T) -9 NIL 3291719 NIL) (-1276 3285532 3285787 3286114 "UPSCAT-" 3286119 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1275 3285153 3285202 3285335 "UPOLYC2" 3285483 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1274 3269280 3278280 3278323 "UPOLYC" 3280424 NIL UPOLYC (NIL T) -9 NIL 3281645 NIL) (-1273 3260128 3263034 3266181 "UPOLYC-" 3266186 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1272 3259449 3259574 3259738 "UPMP" 3260017 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1271 3258996 3259083 3259222 "UPDIVP" 3259362 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1270 3257534 3257813 3258129 "UPDECOMP" 3258745 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1269 3256747 3256877 3257063 "UPCDEN" 3257418 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1268 3256260 3256335 3256484 "UP2" 3256672 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1267 3246835 3255943 3256072 "UP" 3256179 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1266 3246040 3246177 3246382 "UNISEG2" 3246678 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1265 3244393 3245244 3245521 "UNISEG" 3245798 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1264 3243435 3243633 3243859 "UNIFACT" 3244209 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1263 3230145 3243339 3243411 "ULSCONS" 3243416 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1262 3209941 3223225 3223287 "ULSCCAT" 3223925 NIL ULSCCAT (NIL T T) -9 NIL 3224214 NIL) (-1261 3208937 3209236 3209624 "ULSCCAT-" 3209629 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1260 3197378 3204483 3204526 "ULSCAT" 3205389 NIL ULSCAT (NIL T) -9 NIL 3206120 NIL) (-1259 3196802 3196887 3197066 "ULS2" 3197293 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1258 3178612 3196114 3196356 "ULS" 3196618 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1257 3177531 3178231 3178345 "UINT8" 3178456 T UINT8 (NIL) -8 NIL NIL 3178548) (-1256 3176449 3177149 3177263 "UINT64" 3177374 T UINT64 (NIL) -8 NIL NIL 3177466) (-1255 3175367 3176067 3176181 "UINT32" 3176292 T UINT32 (NIL) -8 NIL NIL 3176384) (-1254 3174285 3174985 3175099 "UINT16" 3175210 T UINT16 (NIL) -8 NIL NIL 3175302) (-1253 3172364 3173531 3173561 "UFD" 3173773 T UFD (NIL) -9 NIL 3173887 NIL) (-1252 3172146 3172204 3172299 "UFD-" 3172304 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1251 3171204 3171411 3171627 "UDVO" 3171952 T UDVO (NIL) -7 NIL NIL NIL) (-1250 3168970 3169429 3169900 "UDPO" 3170768 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1249 3168682 3168925 3168956 "TYPEAST" 3168961 T TYPEAST (NIL) -8 NIL NIL NIL) (-1248 3168615 3168620 3168650 "TYPE" 3168655 T TYPE (NIL) -9 NIL NIL NIL) (-1247 3167568 3167788 3168028 "TWOFACT" 3168409 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1246 3166543 3166977 3167212 "TUPLE" 3167368 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1245 3164180 3164753 3165292 "TUBETOOL" 3166026 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1244 3162986 3163227 3163469 "TUBE" 3163973 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1243 3151121 3155743 3155840 "TSETCAT" 3161109 NIL TSETCAT (NIL T T T T) -9 NIL 3162641 NIL) (-1242 3145589 3147453 3149344 "TSETCAT-" 3149349 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1241 3139768 3144561 3144844 "TS" 3145341 NIL TS (NIL T) -8 NIL NIL NIL) (-1240 3134241 3135254 3136183 "TRMANIP" 3138904 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1239 3133670 3133745 3133908 "TRIMAT" 3134173 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1238 3131482 3131773 3132130 "TRIGMNIP" 3133419 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1237 3130966 3131115 3131145 "TRIGCAT" 3131358 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1236 3130611 3130714 3130855 "TRIGCAT-" 3130860 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1235 3127225 3129469 3129750 "TREE" 3130365 NIL TREE (NIL T) -8 NIL NIL NIL) (-1234 3126331 3127027 3127057 "TRANFUN" 3127092 T TRANFUN (NIL) -9 NIL 3127158 NIL) (-1233 3125550 3125801 3126081 "TRANFUN-" 3126086 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1232 3125348 3125386 3125447 "TOPSP" 3125511 T TOPSP (NIL) -7 NIL NIL NIL) (-1231 3124678 3124811 3124965 "TOOLSIGN" 3125229 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1230 3123192 3123855 3124094 "TEXTFILE" 3124461 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1229 3122967 3123004 3123076 "TEX1" 3123155 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1228 3120771 3121420 3121849 "TEX" 3122560 T TEX (NIL) -8 NIL NIL NIL) (-1227 3120407 3120482 3120572 "TEMUTL" 3120703 T TEMUTL (NIL) -7 NIL NIL NIL) (-1226 3118501 3118841 3119166 "TBCMPPK" 3120130 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1225 3109821 3116587 3116643 "TBAGG" 3117043 NIL TBAGG (NIL T T) -9 NIL 3117254 NIL) (-1224 3104705 3106379 3108133 "TBAGG-" 3108138 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1223 3104071 3104196 3104341 "TANEXP" 3104594 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1222 3103522 3103846 3103936 "TALGOP" 3104016 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1221 3102916 3103033 3103171 "TABLEAU" 3103419 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1220 3095930 3102773 3102866 "TABLE" 3102871 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1219 3090460 3091758 3093006 "TABLBUMP" 3094716 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1218 3089670 3089829 3090010 "SYSTEM" 3090301 T SYSTEM (NIL) -8 NIL NIL NIL) (-1217 3086075 3086828 3087611 "SYSSOLP" 3088921 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1216 3085837 3086030 3086061 "SYSPTR" 3086066 T SYSPTR (NIL) -8 NIL NIL NIL) (-1215 3084676 3085368 3085494 "SYSNNI" 3085680 NIL SYSNNI (NIL NIL) -8 NIL NIL 3085772) (-1214 3083883 3084438 3084517 "SYSINT" 3084577 NIL SYSINT (NIL NIL) -8 NIL NIL 3084622) (-1213 3079981 3081161 3081871 "SYNTAX" 3083195 T SYNTAX (NIL) -8 NIL NIL NIL) (-1212 3077061 3077741 3078373 "SYMTAB" 3079371 T SYMTAB (NIL) -8 NIL NIL NIL) (-1211 3072160 3073212 3074195 "SYMS" 3076100 T SYMS (NIL) -8 NIL NIL NIL) (-1210 3069059 3071611 3071844 "SYMPOLY" 3071962 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1209 3068564 3068651 3068774 "SYMFUNC" 3068971 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1208 3064362 3065876 3066689 "SYMBOL" 3067773 T SYMBOL (NIL) -8 NIL NIL NIL) (-1207 3057835 3059590 3061310 "SWITCH" 3062664 T SWITCH (NIL) -8 NIL NIL NIL) (-1206 3050589 3056791 3057085 "SUTS" 3057599 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1205 3042067 3049971 3050235 "SUPXS" 3050383 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1204 3041214 3041353 3041570 "SUPFRACF" 3041935 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1203 3040829 3040894 3041007 "SUP2" 3041149 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1202 3031352 3040447 3040573 "SUP" 3040738 NIL SUP (NIL T) -8 NIL NIL NIL) (-1201 3029776 3030074 3030430 "SUMRF" 3031051 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1200 3029099 3029177 3029369 "SUMFS" 3029697 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1199 3010944 3028411 3028653 "SULS" 3028915 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1198 3010492 3010766 3010836 "SUCHTAST" 3010896 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1197 3009733 3010017 3010157 "SUCH" 3010400 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1196 3003372 3004639 3005598 "SUBSPACE" 3008821 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1195 3002792 3002892 3003056 "SUBRESP" 3003260 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1194 2996803 2998085 2999232 "STTFNC" 3001692 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1193 2989997 2991468 2992779 "STTF" 2995539 NIL STTF (NIL T) -7 NIL NIL NIL) (-1192 2981114 2983179 2984973 "STTAYLOR" 2988238 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1191 2973868 2980978 2981061 "STRTBL" 2981066 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1190 2968265 2973577 2973676 "STRING" 2973791 T STRING (NIL) -8 NIL NIL NIL) (-1189 2967769 2967852 2967996 "STREAM3" 2968182 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1188 2966733 2966934 2967169 "STREAM2" 2967582 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1187 2966415 2966473 2966566 "STREAM1" 2966675 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1186 2958529 2964034 2964645 "STREAM" 2965839 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1185 2957521 2957726 2957957 "STINPROD" 2958345 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1184 2956636 2957010 2957158 "STEPAST" 2957395 T STEPAST (NIL) -8 NIL NIL NIL) (-1183 2956132 2956384 2956414 "STEP" 2956494 T STEP (NIL) -9 NIL 2956572 NIL) (-1182 2949188 2956031 2956108 "STBL" 2956113 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1181 2943738 2948351 2948394 "STAGG" 2948547 NIL STAGG (NIL T) -9 NIL 2948636 NIL) (-1180 2941290 2942042 2942914 "STAGG-" 2942919 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1179 2939262 2941060 2941152 "STACK" 2941233 NIL STACK (NIL T) -8 NIL NIL NIL) (-1178 2938579 2939092 2939122 "SRING" 2939127 T SRING (NIL) -9 NIL 2939147 NIL) (-1177 2930586 2936720 2937176 "SREGSET" 2938209 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1176 2922933 2924380 2925893 "SRDCMPK" 2929192 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1175 2915233 2920292 2920322 "SRAGG" 2921625 T SRAGG (NIL) -9 NIL 2922233 NIL) (-1174 2914184 2914505 2914884 "SRAGG-" 2914889 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1173 2907768 2913131 2913552 "SQMATRIX" 2913810 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1172 2901180 2904486 2905213 "SPLTREE" 2907113 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1171 2897005 2897836 2898482 "SPLNODE" 2900606 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1170 2895980 2896285 2896315 "SPFCAT" 2896759 T SPFCAT (NIL) -9 NIL NIL NIL) (-1169 2894675 2894927 2895191 "SPECOUT" 2895738 T SPECOUT (NIL) -7 NIL NIL NIL) (-1168 2885321 2887639 2887669 "SPADXPT" 2892347 T SPADXPT (NIL) -9 NIL 2894513 NIL) (-1167 2885076 2885122 2885191 "SPADPRSR" 2885274 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1166 2882679 2885031 2885062 "SPADAST" 2885067 T SPADAST (NIL) -8 NIL NIL NIL) (-1165 2874280 2876383 2876426 "SPACEC" 2880799 NIL SPACEC (NIL T) -9 NIL 2882615 NIL) (-1164 2872080 2874212 2874261 "SPACE3" 2874266 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1163 2870812 2871003 2871294 "SORTPAK" 2871885 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1162 2868874 2869207 2869619 "SOLVETRA" 2870476 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1161 2867912 2868146 2868407 "SOLVESER" 2868647 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1160 2863144 2864104 2865099 "SOLVERAD" 2866964 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1159 2858869 2859568 2860297 "SOLVEFOR" 2862511 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1158 2852473 2858217 2858314 "SNTSCAT" 2858319 NIL SNTSCAT (NIL T T T T) -9 NIL 2858389 NIL) (-1157 2846017 2850796 2851187 "SMTS" 2852163 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1156 2839732 2845905 2845982 "SMP" 2845987 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1155 2837861 2838192 2838590 "SMITH" 2839429 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1154 2829386 2834440 2834543 "SMATCAT" 2835894 NIL SMATCAT (NIL NIL T T T) -9 NIL 2836444 NIL) (-1153 2826158 2827149 2828327 "SMATCAT-" 2828332 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1152 2823627 2825366 2825409 "SKAGG" 2825670 NIL SKAGG (NIL T) -9 NIL 2825805 NIL) (-1151 2819131 2823110 2823287 "SINT" 2823439 T SINT (NIL) -8 NIL NIL 2823594) (-1150 2818897 2818941 2819007 "SIMPAN" 2819087 T SIMPAN (NIL) -7 NIL NIL NIL) (-1149 2817717 2817956 2818231 "SIGNRF" 2818656 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1148 2816532 2816701 2816985 "SIGNEF" 2817546 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1147 2815772 2816115 2816239 "SIGAST" 2816430 T SIGAST (NIL) -8 NIL NIL NIL) (-1146 2814997 2815307 2815447 "SIG" 2815654 T SIG (NIL) -8 NIL NIL NIL) (-1145 2812649 2813141 2813647 "SHP" 2814538 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1144 2806022 2812550 2812626 "SHDP" 2812631 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1143 2805533 2805773 2805803 "SGROUP" 2805896 T SGROUP (NIL) -9 NIL 2805958 NIL) (-1142 2805385 2805417 2805490 "SGROUP-" 2805495 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1141 2802104 2802874 2803597 "SGCF" 2804684 T SGCF (NIL) -7 NIL NIL NIL) (-1140 2795806 2801550 2801647 "SFRTCAT" 2801652 NIL SFRTCAT (NIL T T T T) -9 NIL 2801691 NIL) (-1139 2789125 2790245 2791381 "SFRGCD" 2794789 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1138 2782143 2783324 2784510 "SFQCMPK" 2788058 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1137 2781745 2781852 2781963 "SFORT" 2782084 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1136 2780671 2781585 2781706 "SEXOF" 2781711 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1135 2776260 2777167 2777262 "SEXCAT" 2779884 NIL SEXCAT (NIL T T T T T) -9 NIL 2780444 NIL) (-1134 2775175 2776141 2776209 "SEX" 2776214 T SEX (NIL) -8 NIL NIL NIL) (-1133 2773297 2773888 2774193 "SETMN" 2774916 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1132 2772827 2773015 2773045 "SETCAT" 2773162 T SETCAT (NIL) -9 NIL 2773247 NIL) (-1131 2772595 2772659 2772758 "SETCAT-" 2772763 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1130 2768698 2771056 2771099 "SETAGG" 2771969 NIL SETAGG (NIL T) -9 NIL 2772309 NIL) (-1129 2768120 2768272 2768509 "SETAGG-" 2768514 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1128 2764929 2768054 2768102 "SET" 2768107 NIL SET (NIL T) -8 NIL NIL NIL) (-1127 2764312 2764625 2764726 "SEQAST" 2764850 T SEQAST (NIL) -8 NIL NIL NIL) (-1126 2763439 2763805 2763866 "SEGXCAT" 2764152 NIL SEGXCAT (NIL T T) -9 NIL 2764272 NIL) (-1125 2762364 2762632 2762675 "SEGCAT" 2763197 NIL SEGCAT (NIL T) -9 NIL 2763418 NIL) (-1124 2761979 2762044 2762157 "SEGBIND2" 2762299 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1123 2760869 2761342 2761550 "SEGBIND" 2761806 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1122 2760388 2760670 2760747 "SEGAST" 2760814 T SEGAST (NIL) -8 NIL NIL NIL) (-1121 2759597 2759733 2759937 "SEG2" 2760232 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1120 2758513 2759263 2759445 "SEG" 2759450 NIL SEG (NIL T) -8 NIL NIL NIL) (-1119 2757746 2758448 2758495 "SDVAR" 2758500 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1118 2749097 2757516 2757646 "SDPOL" 2757651 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1117 2747666 2747956 2748275 "SCPKG" 2748812 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1116 2746788 2747002 2747194 "SCOPE" 2747496 T SCOPE (NIL) -8 NIL NIL NIL) (-1115 2745984 2746142 2746321 "SCACHE" 2746643 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1114 2745568 2745802 2745832 "SASTCAT" 2745837 T SASTCAT (NIL) -9 NIL 2745850 NIL) (-1113 2744971 2745403 2745479 "SAOS" 2745514 T SAOS (NIL) -8 NIL NIL NIL) (-1112 2744530 2744571 2744744 "SAERFFC" 2744930 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1111 2744117 2744158 2744317 "SAEFACT" 2744489 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1110 2737144 2744014 2744094 "SAE" 2744099 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1109 2735447 2735779 2736180 "RURPK" 2736810 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1108 2734024 2734390 2734695 "RULESET" 2735281 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1107 2733594 2733818 2733901 "RULECOLD" 2733976 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1106 2730709 2731347 2731805 "RULE" 2733275 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1105 2730493 2730527 2730598 "RTVALUE" 2730660 T RTVALUE (NIL) -8 NIL NIL NIL) (-1104 2729904 2730210 2730304 "RSTRCAST" 2730421 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1103 2724674 2725547 2726467 "RSETGCD" 2729103 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1102 2713238 2718982 2719079 "RSETCAT" 2723198 NIL RSETCAT (NIL T T T T) -9 NIL 2724295 NIL) (-1101 2711057 2711704 2712528 "RSETCAT-" 2712533 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1100 2703365 2704819 2706339 "RSDCMPK" 2709656 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1099 2701234 2701797 2701871 "RRCC" 2702957 NIL RRCC (NIL T T) -9 NIL 2703301 NIL) (-1098 2700555 2700759 2701038 "RRCC-" 2701043 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1097 2699938 2700251 2700352 "RPTAST" 2700476 T RPTAST (NIL) -8 NIL NIL NIL) (-1096 2672317 2683050 2683117 "RPOLCAT" 2693783 NIL RPOLCAT (NIL T T T) -9 NIL 2696943 NIL) (-1095 2663287 2666155 2669277 "RPOLCAT-" 2669282 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1094 2653740 2661498 2661980 "ROUTINE" 2662827 T ROUTINE (NIL) -8 NIL NIL NIL) (-1093 2649789 2653366 2653506 "ROMAN" 2653622 T ROMAN (NIL) -8 NIL NIL NIL) (-1092 2647901 2648649 2648909 "ROIRC" 2649594 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1091 2643614 2646390 2646420 "RNS" 2646724 T RNS (NIL) -9 NIL 2646998 NIL) (-1090 2642021 2642506 2643040 "RNS-" 2643115 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1089 2640982 2641386 2641588 "RNGBIND" 2641872 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1088 2640275 2640779 2640809 "RNG" 2640814 T RNG (NIL) -9 NIL 2640835 NIL) (-1087 2639570 2640048 2640091 "RMODULE" 2640096 NIL RMODULE (NIL T) -9 NIL 2640123 NIL) (-1086 2638394 2638500 2638836 "RMCAT2" 2639471 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1085 2634896 2637740 2638037 "RMATRIX" 2638156 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1084 2627395 2629983 2630098 "RMATCAT" 2633457 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2634439 NIL) (-1083 2626734 2626917 2627224 "RMATCAT-" 2627229 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1082 2626307 2626521 2626564 "RLINSET" 2626626 NIL RLINSET (NIL T) -9 NIL 2626670 NIL) (-1081 2625868 2625949 2626077 "RINTERP" 2626226 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1080 2624792 2625466 2625496 "RING" 2625552 T RING (NIL) -9 NIL 2625644 NIL) (-1079 2624572 2624628 2624725 "RING-" 2624730 NIL RING- (NIL T) -8 NIL NIL NIL) (-1078 2623383 2623650 2623908 "RIDIST" 2624336 T RIDIST (NIL) -7 NIL NIL NIL) (-1077 2614008 2622851 2623057 "RGCHAIN" 2623231 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1076 2613266 2613750 2613791 "RGBCSPC" 2613849 NIL RGBCSPC (NIL T) -9 NIL 2613901 NIL) (-1075 2612332 2612791 2612832 "RGBCMDL" 2613064 NIL RGBCMDL (NIL T) -9 NIL 2613178 NIL) (-1074 2611972 2612041 2612144 "RFFACTOR" 2612263 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1073 2611691 2611732 2611829 "RFFACT" 2611931 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1072 2609742 2610172 2610554 "RFDIST" 2611331 T RFDIST (NIL) -7 NIL NIL NIL) (-1071 2606682 2607350 2608020 "RF" 2609106 NIL RF (NIL T) -7 NIL NIL NIL) (-1070 2606129 2606227 2606390 "RETSOL" 2606584 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1069 2605747 2605845 2605888 "RETRACT" 2606021 NIL RETRACT (NIL T) -9 NIL 2606108 NIL) (-1068 2605590 2605621 2605708 "RETRACT-" 2605713 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1067 2605138 2605412 2605482 "RETAST" 2605542 T RETAST (NIL) -8 NIL NIL NIL) (-1066 2597488 2604791 2604918 "RESULT" 2605033 T RESULT (NIL) -8 NIL NIL NIL) (-1065 2595923 2596757 2596956 "RESRING" 2597391 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1064 2595547 2595608 2595706 "RESLATC" 2595860 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1063 2595246 2595287 2595394 "REPSQ" 2595506 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1062 2594937 2594978 2595089 "REPDB" 2595205 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1061 2588769 2590226 2591449 "REP2" 2593749 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1060 2585072 2585827 2586635 "REP1" 2587996 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1059 2582452 2583074 2583676 "REP" 2584492 T REP (NIL) -7 NIL NIL NIL) (-1058 2574460 2580593 2581049 "REGSET" 2582082 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1057 2573169 2573608 2573858 "REF" 2574245 NIL REF (NIL T) -8 NIL NIL NIL) (-1056 2572534 2572649 2572816 "REDORDER" 2573053 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1055 2567898 2571747 2571974 "RECLOS" 2572362 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1054 2566932 2567131 2567346 "REALSOLV" 2567705 T REALSOLV (NIL) -7 NIL NIL NIL) (-1053 2563379 2564217 2565101 "REAL0Q" 2566097 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1052 2558932 2559968 2561029 "REAL0" 2562360 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1051 2558766 2558819 2558849 "REAL" 2558854 T REAL (NIL) -9 NIL 2558889 NIL) (-1050 2558177 2558483 2558577 "RDUCEAST" 2558694 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1049 2557576 2557654 2557861 "RDIV" 2558099 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1048 2556626 2556818 2557031 "RDIST" 2557398 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1047 2555211 2555510 2555882 "RDETRS" 2556334 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1046 2553005 2553477 2554015 "RDETR" 2554753 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1045 2551624 2551908 2552305 "RDEEFS" 2552721 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1044 2550127 2550439 2550864 "RDEEF" 2551312 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1043 2543599 2547081 2547111 "RCFIELD" 2548406 T RCFIELD (NIL) -9 NIL 2549137 NIL) (-1042 2541555 2542167 2542863 "RCFIELD-" 2542938 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1041 2537607 2539628 2539671 "RCAGG" 2540755 NIL RCAGG (NIL T) -9 NIL 2541220 NIL) (-1040 2537217 2537329 2537492 "RCAGG-" 2537497 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1039 2536534 2536664 2536829 "RATRET" 2537101 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1038 2536075 2536154 2536275 "RATFACT" 2536462 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1037 2535353 2535503 2535655 "RANDSRC" 2535945 T RANDSRC (NIL) -7 NIL NIL NIL) (-1036 2535081 2535131 2535204 "RADUTIL" 2535302 T RADUTIL (NIL) -7 NIL NIL NIL) (-1035 2527205 2533912 2534223 "RADIX" 2534804 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1034 2516799 2527047 2527177 "RADFF" 2527182 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1033 2516428 2516521 2516551 "RADCAT" 2516711 T RADCAT (NIL) -9 NIL NIL NIL) (-1032 2516198 2516258 2516358 "RADCAT-" 2516363 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1031 2514109 2515968 2516060 "QUEUE" 2516141 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1030 2513734 2513783 2513914 "QUATCT2" 2514060 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1029 2506105 2510157 2510199 "QUATCAT" 2510990 NIL QUATCAT (NIL T) -9 NIL 2511756 NIL) (-1028 2501986 2503281 2504671 "QUATCAT-" 2504767 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1027 2497825 2501919 2501967 "QUAT" 2501972 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1026 2495081 2496873 2496916 "QUAGG" 2497297 NIL QUAGG (NIL T) -9 NIL 2497472 NIL) (-1025 2494629 2494903 2494973 "QQUTAST" 2495033 T QQUTAST (NIL) -8 NIL NIL NIL) (-1024 2493540 2494142 2494307 "QFORM" 2494510 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1023 2493165 2493214 2493345 "QFCAT2" 2493491 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1022 2482841 2489012 2489054 "QFCAT" 2489722 NIL QFCAT (NIL T) -9 NIL 2490723 NIL) (-1021 2478156 2479609 2481203 "QFCAT-" 2481299 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1020 2477587 2477721 2477853 "QEQUAT" 2478046 T QEQUAT (NIL) -8 NIL NIL NIL) (-1019 2470605 2471786 2472972 "QCMPACK" 2476520 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1018 2469834 2470016 2470252 "QALGSET2" 2470423 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1017 2467284 2467820 2468250 "QALGSET" 2469489 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1016 2465951 2466193 2466512 "PWFFINTB" 2467057 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1015 2464096 2464294 2464650 "PUSHVAR" 2465765 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1014 2459823 2461039 2461082 "PTRANFN" 2462993 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1013 2458160 2458505 2458829 "PTPACK" 2459534 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1012 2457783 2457846 2457957 "PTFUNC2" 2458097 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1011 2451699 2456572 2456615 "PTCAT" 2456915 NIL PTCAT (NIL T) -9 NIL 2457068 NIL) (-1010 2451348 2451389 2451515 "PSQFR" 2451658 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1009 2449920 2450236 2450572 "PSEUDLIN" 2451046 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1008 2436440 2439015 2441341 "PSETPK" 2447680 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1007 2429148 2432176 2432274 "PSETCAT" 2435315 NIL PSETCAT (NIL T T T T) -9 NIL 2436129 NIL) (-1006 2426873 2427615 2428439 "PSETCAT-" 2428444 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1005 2426186 2426381 2426411 "PSCURVE" 2426683 T PSCURVE (NIL) -9 NIL 2426850 NIL) (-1004 2421902 2423676 2423743 "PSCAT" 2424595 NIL PSCAT (NIL T T T) -9 NIL 2424835 NIL) (-1003 2420896 2421178 2421581 "PSCAT-" 2421586 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-1002 2419095 2419955 2420220 "PRTITION" 2420653 T PRTITION (NIL) -8 NIL NIL NIL) (-1001 2418506 2418812 2418906 "PRTDAST" 2419023 T PRTDAST (NIL) -8 NIL NIL NIL) (-1000 2407350 2409772 2411962 "PRS" 2416368 NIL PRS (NIL T T) -7 NIL NIL NIL) (-999 2404970 2406672 2406712 "PRQAGG" 2406895 NIL PRQAGG (NIL T) -9 NIL 2406997 NIL) (-998 2404149 2404598 2404626 "PROPLOG" 2404765 T PROPLOG (NIL) -9 NIL 2404880 NIL) (-997 2403747 2403810 2403933 "PROPFUN2" 2404072 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-996 2403044 2403183 2403355 "PROPFUN1" 2403608 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-995 2401025 2401791 2402088 "PROPFRML" 2402780 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-994 2400470 2400601 2400729 "PROPERTY" 2400917 T PROPERTY (NIL) -8 NIL NIL NIL) (-993 2394358 2398636 2399456 "PRODUCT" 2399696 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-992 2394148 2394186 2394245 "PRINT" 2394319 T PRINT (NIL) -7 NIL NIL NIL) (-991 2393464 2393605 2393757 "PRIMES" 2394028 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-990 2391511 2391930 2392396 "PRIMELT" 2393043 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-989 2391228 2391289 2391317 "PRIMCAT" 2391441 T PRIMCAT (NIL) -9 NIL NIL NIL) (-988 2390217 2390413 2390641 "PRIMARR2" 2391046 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-987 2385939 2390155 2390200 "PRIMARR" 2390205 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-986 2385576 2385638 2385749 "PREASSOC" 2385877 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-985 2382534 2385034 2385268 "PR" 2385387 NIL PR (NIL T T) -8 NIL NIL NIL) (-984 2381985 2382142 2382170 "PPCURVE" 2382375 T PPCURVE (NIL) -9 NIL 2382511 NIL) (-983 2381532 2381780 2381863 "PORTNUM" 2381922 T PORTNUM (NIL) -8 NIL NIL NIL) (-982 2378869 2379290 2379882 "POLYROOT" 2381113 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-981 2378246 2378310 2378544 "POLYLIFT" 2378805 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-980 2374467 2374970 2375599 "POLYCATQ" 2377791 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-979 2360108 2366214 2366279 "POLYCAT" 2369793 NIL POLYCAT (NIL T T T) -9 NIL 2371671 NIL) (-978 2353227 2355419 2357803 "POLYCAT-" 2357808 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-977 2352808 2352882 2353002 "POLY2UP" 2353153 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-976 2352434 2352497 2352606 "POLY2" 2352745 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-975 2345642 2352038 2352198 "POLY" 2352307 NIL POLY (NIL T) -8 NIL NIL NIL) (-974 2344303 2344566 2344842 "POLUTIL" 2345416 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-973 2342622 2342935 2343266 "POLTOPOL" 2344025 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-972 2337618 2342556 2342603 "POINT" 2342608 NIL POINT (NIL T) -8 NIL NIL NIL) (-971 2335751 2336162 2336537 "PNTHEORY" 2337263 T PNTHEORY (NIL) -7 NIL NIL NIL) (-970 2334197 2334506 2334905 "PMTOOLS" 2335449 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-969 2333784 2333868 2333985 "PMSYM" 2334113 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-968 2333286 2333361 2333536 "PMQFCAT" 2333709 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-967 2332667 2332765 2332927 "PMPREDFS" 2333187 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-966 2332010 2332132 2332288 "PMPRED" 2332544 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-965 2330664 2330882 2331260 "PMPLCAT" 2331772 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-964 2330190 2330275 2330427 "PMLSAGG" 2330579 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-963 2329657 2329739 2329921 "PMKERNEL" 2330108 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-962 2329268 2329349 2329462 "PMINS" 2329576 NIL PMINS (NIL T) -7 NIL NIL NIL) (-961 2328704 2328779 2328988 "PMFS" 2329193 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-960 2327920 2328050 2328255 "PMDOWN" 2328581 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-959 2327169 2327303 2327466 "PMASSFS" 2327807 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-958 2326312 2326494 2326675 "PMASS" 2327008 T PMASS (NIL) -7 NIL NIL NIL) (-957 2325961 2326035 2326129 "PLOTTOOL" 2326238 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-956 2321613 2322807 2323729 "PLOT3D" 2325059 T PLOT3D (NIL) -8 NIL NIL NIL) (-955 2320501 2320702 2320937 "PLOT1" 2321417 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-954 2314922 2316312 2317460 "PLOT" 2319373 T PLOT (NIL) -8 NIL NIL NIL) (-953 2290097 2294988 2299839 "PLEQN" 2310188 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-952 2289784 2289837 2289940 "PINTERPA" 2290044 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-951 2289090 2289224 2289404 "PINTERP" 2289649 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-950 2287175 2288348 2288376 "PID" 2288558 T PID (NIL) -9 NIL 2288692 NIL) (-949 2286920 2286963 2287038 "PICOERCE" 2287132 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-948 2286016 2286684 2286771 "PI" 2286811 T PI (NIL) -8 NIL NIL 2286878) (-947 2285324 2285475 2285651 "PGROEB" 2285872 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-946 2280763 2281722 2282628 "PGE" 2284438 T PGE (NIL) -7 NIL NIL NIL) (-945 2278844 2279133 2279499 "PGCD" 2280480 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-944 2278170 2278285 2278446 "PFRPAC" 2278728 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-943 2274421 2276718 2277071 "PFR" 2277849 NIL PFR (NIL T) -8 NIL NIL NIL) (-942 2272774 2273054 2273379 "PFOTOOLS" 2274168 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-941 2271289 2271546 2271897 "PFOQ" 2272531 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-940 2269772 2270002 2270358 "PFO" 2271073 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-939 2266850 2268363 2268391 "PFECAT" 2268976 T PFECAT (NIL) -9 NIL 2269360 NIL) (-938 2266277 2266449 2266663 "PFECAT-" 2266668 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-937 2264850 2265132 2265433 "PFBRU" 2266026 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-936 2262680 2263068 2263500 "PFBR" 2264501 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-935 2258605 2262569 2262638 "PF" 2262643 NIL PF (NIL NIL) -8 NIL NIL NIL) (-934 2253659 2254812 2255682 "PERMGRP" 2257768 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-933 2251571 2252683 2252724 "PERMCAT" 2253124 NIL PERMCAT (NIL T) -9 NIL 2253422 NIL) (-932 2251218 2251265 2251389 "PERMAN" 2251524 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-931 2247020 2248727 2249375 "PERM" 2250603 NIL PERM (NIL T) -8 NIL NIL NIL) (-930 2244261 2246685 2246807 "PENDTREE" 2246931 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-929 2243142 2243405 2243446 "PDSPC" 2243979 NIL PDSPC (NIL T) -9 NIL 2244224 NIL) (-928 2242197 2242463 2242825 "PDSPC-" 2242830 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-927 2240911 2241847 2241888 "PDRING" 2241893 NIL PDRING (NIL T) -9 NIL 2241921 NIL) (-926 2239654 2240416 2240470 "PDMOD" 2240475 NIL PDMOD (NIL T T) -9 NIL 2240579 NIL) (-925 2236821 2237647 2238315 "PDEPROB" 2239006 T PDEPROB (NIL) -8 NIL NIL NIL) (-924 2234330 2234870 2235425 "PDEPACK" 2236286 T PDEPACK (NIL) -7 NIL NIL NIL) (-923 2233218 2233432 2233683 "PDECOMP" 2234129 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-922 2230735 2231626 2231654 "PDECAT" 2232441 T PDECAT (NIL) -9 NIL 2233154 NIL) (-921 2230352 2230419 2230473 "PDDOM" 2230638 NIL PDDOM (NIL T T) -9 NIL 2230718 NIL) (-920 2230165 2230201 2230308 "PDDOM-" 2230313 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-919 2229910 2229949 2230039 "PCOMP" 2230126 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-918 2227950 2228711 2229008 "PBWLB" 2229639 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-917 2227576 2227639 2227748 "PATTERN2" 2227887 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-916 2225285 2225721 2226178 "PATTERN1" 2227165 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-915 2217464 2219358 2220696 "PATTERN" 2223968 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-914 2217022 2217095 2217227 "PATRES2" 2217391 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-913 2214288 2214971 2215452 "PATRES" 2216587 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-912 2212141 2212576 2212983 "PATMATCH" 2213955 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-911 2211595 2211846 2211887 "PATMAB" 2211994 NIL PATMAB (NIL T) -9 NIL 2212077 NIL) (-910 2210041 2210449 2210707 "PATLRES" 2211400 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-909 2209579 2209710 2209751 "PATAB" 2209756 NIL PATAB (NIL T) -9 NIL 2209928 NIL) (-908 2207719 2208156 2208579 "PARTPERM" 2209176 T PARTPERM (NIL) -7 NIL NIL NIL) (-907 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NIL NIL) (-847 2101126 2101435 2101571 "OMERR" 2101773 T OMERR (NIL) -8 NIL NIL NIL) (-846 2100517 2100803 2100911 "OMENC" 2101038 T OMENC (NIL) -8 NIL NIL NIL) (-845 2094154 2095597 2096768 "OMDEV" 2099366 T OMDEV (NIL) -8 NIL NIL NIL) (-844 2093187 2093394 2093588 "OMCONN" 2093980 T OMCONN (NIL) -8 NIL NIL NIL) (-843 2092593 2092720 2092748 "OM" 2093047 T OM (NIL) -9 NIL NIL NIL) (-842 2090871 2092063 2092091 "OINTDOM" 2092096 T OINTDOM (NIL) -9 NIL 2092117 NIL) (-841 2087946 2089559 2089896 "OFMONOID" 2090566 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-840 2087180 2087883 2087928 "ODVAR" 2087933 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-839 2084317 2086925 2087080 "ODR" 2087085 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-838 2075722 2084093 2084219 "ODPOL" 2084224 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-837 2069065 2075594 2075699 "ODP" 2075704 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-836 2067807 2068046 2068321 "ODETOOLS" 2068839 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-835 2064750 2065432 2066148 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2030275 2030370 2030593 "ODECONST" 2030837 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-822 2028338 2029047 2029075 "ODECAT" 2029680 T ODECAT (NIL) -9 NIL 2030211 NIL) (-821 2027970 2028019 2028146 "OCTCT2" 2028289 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-820 2024463 2027675 2027797 "OCT" 2027880 NIL OCT (NIL T) -8 NIL NIL NIL) (-819 2023686 2024256 2024284 "OCAMON" 2024289 T OCAMON (NIL) -9 NIL 2024310 NIL) (-818 2017950 2020729 2020769 "OC" 2021866 NIL OC (NIL T) -9 NIL 2022724 NIL) (-817 2014985 2015925 2016915 "OC-" 2017009 NIL OC- (NIL T T) -8 NIL NIL NIL) (-816 2014405 2014830 2014858 "OASGP" 2014863 T OASGP (NIL) -9 NIL 2014883 NIL) (-815 2013531 2014128 2014156 "OAMONS" 2014196 T OAMONS (NIL) -9 NIL 2014239 NIL) (-814 2012822 2013351 2013379 "OAMON" 2013384 T OAMON (NIL) -9 NIL 2013404 NIL) (-813 2011933 2012571 2012599 "OAGROUP" 2012604 T OAGROUP (NIL) -9 NIL 2012624 NIL) (-812 2011615 2011671 2011760 "NUMTUBE" 2011877 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-811 2005134 2006706 2008242 "NUMQUAD" 2010099 T NUMQUAD (NIL) -7 NIL NIL NIL) (-810 2000814 2001848 2002883 "NUMODE" 2004119 T NUMODE (NIL) -7 NIL NIL NIL) (-809 1998095 1999035 1999063 "NUMINT" 1999986 T NUMINT (NIL) -9 NIL 2000750 NIL) (-808 1997007 1997240 1997458 "NUMFMT" 1997897 T NUMFMT (NIL) -7 NIL NIL NIL) (-807 1983190 1986311 1988843 "NUMERIC" 1994514 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-806 1976894 1982638 1982733 "NTSCAT" 1982738 NIL NTSCAT (NIL T T T T) -9 NIL 1982777 NIL) (-805 1976074 1976253 1976446 "NTPOLFN" 1976733 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-804 1975700 1975763 1975872 "NSUP2" 1976011 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-803 1962461 1972525 1973337 "NSUP" 1974921 NIL NSUP (NIL T) -8 NIL NIL NIL) (-802 1951297 1962235 1962368 "NSMP" 1962373 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-801 1949705 1950030 1950387 "NREP" 1950985 NIL NREP (NIL T) -7 NIL NIL NIL) (-800 1948284 1948548 1948906 "NPCOEF" 1949448 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-799 1947332 1947465 1947681 "NORMRETR" 1948165 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-798 1945343 1945663 1946072 "NORMPK" 1947040 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-797 1945022 1945056 1945180 "NORMMA" 1945309 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-796 1944805 1944840 1944909 "NONE1" 1944986 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-795 1944569 1944762 1944791 "NONE" 1944796 T NONE (NIL) -8 NIL NIL NIL) (-794 1944060 1944128 1944307 "NODE1" 1944501 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-793 1942152 1943183 1943438 "NNI" 1943785 T NNI (NIL) -8 NIL NIL 1944020) (-792 1940548 1940885 1941249 "NLINSOL" 1941820 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-791 1936729 1937784 1938683 "NIPROB" 1939669 T NIPROB (NIL) -8 NIL NIL NIL) (-790 1935468 1935720 1936022 "NFINTBAS" 1936491 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-789 1934552 1935118 1935159 "NETCLT" 1935331 NIL NETCLT (NIL T) -9 NIL 1935413 NIL) (-788 1933224 1933491 1933772 "NCODIV" 1934320 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-787 1932980 1933023 1933098 "NCNTFRAC" 1933181 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-786 1931136 1931524 1931944 "NCEP" 1932605 NIL NCEP (NIL T) -7 NIL NIL NIL) (-785 1929799 1930746 1930774 "NASRING" 1930884 T NASRING (NIL) -9 NIL 1930964 NIL) (-784 1929582 1929638 1929732 "NASRING-" 1929737 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-783 1928549 1929200 1929228 "NARNG" 1929345 T NARNG (NIL) -9 NIL 1929436 NIL) (-782 1928223 1928308 1928442 "NARNG-" 1928447 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-781 1927060 1927309 1927544 "NAGSP" 1928008 T NAGSP (NIL) -7 NIL NIL NIL) (-780 1918104 1920016 1921689 "NAGS" 1925407 T NAGS (NIL) -7 NIL NIL NIL) (-779 1916628 1916960 1917291 "NAGF07" 1917793 T NAGF07 (NIL) -7 NIL NIL NIL) (-778 1911100 1912457 1913764 "NAGF04" 1915341 T NAGF04 (NIL) -7 NIL NIL NIL) (-777 1903972 1905682 1907315 "NAGF02" 1909487 T NAGF02 (NIL) -7 NIL NIL NIL) (-776 1899136 1900296 1901413 "NAGF01" 1902875 T NAGF01 (NIL) -7 NIL NIL NIL) (-775 1892716 1894330 1895915 "NAGE04" 1897571 T NAGE04 (NIL) -7 NIL NIL NIL) (-774 1883777 1886006 1888136 "NAGE02" 1890606 T NAGE02 (NIL) -7 NIL NIL NIL) (-773 1879670 1880677 1881641 "NAGE01" 1882833 T NAGE01 (NIL) -7 NIL NIL NIL) (-772 1877447 1877999 1878557 "NAGD03" 1879132 T NAGD03 (NIL) -7 NIL NIL NIL) (-771 1869143 1871125 1873079 "NAGD02" 1875513 T NAGD02 (NIL) -7 NIL NIL NIL) (-770 1862882 1864379 1865819 "NAGD01" 1867723 T NAGD01 (NIL) -7 NIL NIL NIL) (-769 1859019 1859913 1860750 "NAGC06" 1862065 T NAGC06 (NIL) -7 NIL NIL NIL) (-768 1857466 1857816 1858172 "NAGC05" 1858683 T NAGC05 (NIL) -7 NIL NIL NIL) (-767 1856830 1856961 1857105 "NAGC02" 1857342 T NAGC02 (NIL) -7 NIL NIL NIL) (-766 1855631 1856358 1856398 "NAALG" 1856477 NIL NAALG (NIL T) -9 NIL 1856538 NIL) (-765 1855460 1855495 1855585 "NAALG-" 1855590 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-764 1849332 1850518 1851705 "MULTSQFR" 1854356 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-763 1848639 1848726 1848910 "MULTFACT" 1849244 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-762 1840777 1845222 1845275 "MTSCAT" 1846345 NIL MTSCAT (NIL T T) -9 NIL 1846861 NIL) (-761 1840483 1840543 1840635 "MTHING" 1840717 NIL MTHING (NIL T) -7 NIL NIL NIL) (-760 1840269 1840308 1840368 "MSYSCMD" 1840443 T MSYSCMD (NIL) -7 NIL NIL NIL) (-759 1837014 1839830 1839871 "MSETAGG" 1839876 NIL MSETAGG (NIL T) -9 NIL 1839910 NIL) (-758 1832728 1835769 1836089 "MSET" 1836727 NIL MSET (NIL T) -8 NIL NIL NIL) (-757 1828320 1830107 1830852 "MRING" 1832028 NIL MRING (NIL T T) -8 NIL NIL NIL) (-756 1827880 1827953 1828084 "MRF2" 1828247 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-755 1827492 1827533 1827677 "MRATFAC" 1827839 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-754 1825062 1825399 1825830 "MPRFF" 1827197 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-753 1818389 1824916 1825013 "MPOLY" 1825018 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-752 1817873 1817914 1818122 "MPCPF" 1818348 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-751 1817381 1817430 1817614 "MPC3" 1817824 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-750 1816564 1816657 1816878 "MPC2" 1817296 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-749 1814841 1815202 1815592 "MONOTOOL" 1816224 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-748 1813986 1814369 1814397 "MONOID" 1814616 T MONOID (NIL) -9 NIL 1814763 NIL) (-747 1813502 1813651 1813832 "MONOID-" 1813837 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-746 1802454 1809322 1809381 "MONOGEN" 1810055 NIL MONOGEN (NIL T T) -9 NIL 1810511 NIL) (-745 1799504 1800407 1801407 "MONOGEN-" 1801526 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-744 1798221 1798769 1798797 "MONADWU" 1799189 T MONADWU (NIL) -9 NIL 1799427 NIL) (-743 1797551 1797752 1798000 "MONADWU-" 1798005 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-742 1796836 1797140 1797168 "MONAD" 1797375 T MONAD (NIL) -9 NIL 1797487 NIL) (-741 1796503 1796599 1796731 "MONAD-" 1796736 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-740 1794642 1795416 1795695 "MOEBIUS" 1796256 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-739 1793810 1794310 1794350 "MODULE" 1794355 NIL MODULE (NIL T) -9 NIL 1794394 NIL) (-738 1793348 1793474 1793664 "MODULE-" 1793669 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-737 1790878 1791712 1792039 "MODRING" 1793172 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-736 1787600 1788983 1789504 "MODOP" 1790407 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-735 1786086 1786667 1786944 "MODMONOM" 1787463 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-734 1774826 1784377 1784791 "MODMON" 1785723 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-733 1771652 1773670 1773946 "MODFIELD" 1774701 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-732 1770563 1770933 1771123 "MMLFORM" 1771482 T MMLFORM (NIL) -8 NIL NIL NIL) (-731 1770083 1770132 1770311 "MMAP" 1770514 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-730 1767976 1768915 1768956 "MLO" 1769379 NIL MLO (NIL T) -9 NIL 1769621 NIL) (-729 1765324 1765858 1766460 "MLIFT" 1767457 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-728 1764703 1764799 1764953 "MKUCFUNC" 1765235 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-727 1764296 1764372 1764495 "MKRECORD" 1764626 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-726 1763319 1763505 1763733 "MKFUNC" 1764107 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-725 1762695 1762811 1762967 "MKFLCFN" 1763202 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-724 1761960 1762074 1762259 "MKBCFUNC" 1762588 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-723 1757943 1761514 1761650 "MINT" 1761844 T MINT (NIL) -8 NIL NIL NIL) (-722 1756725 1756998 1757275 "MHROWRED" 1757698 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-721 1751469 1755260 1755665 "MFLOAT" 1756340 T MFLOAT (NIL) -8 NIL NIL NIL) (-720 1750814 1750902 1751073 "MFINFACT" 1751381 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-719 1747093 1747977 1748861 "MESH" 1749950 T MESH (NIL) -7 NIL NIL NIL) (-718 1745447 1745795 1746148 "MDDFACT" 1746780 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-717 1741983 1744578 1744619 "MDAGG" 1744874 NIL MDAGG (NIL T) -9 NIL 1745017 NIL) (-716 1729685 1741276 1741483 "MCMPLX" 1741796 T MCMPLX (NIL) -8 NIL NIL NIL) (-715 1728804 1728968 1729169 "MCDEN" 1729534 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-714 1726652 1726964 1727344 "MCALCFN" 1728534 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-713 1725529 1725817 1726050 "MAYBE" 1726458 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-712 1723087 1723664 1724226 "MATSTOR" 1725000 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-711 1718509 1722459 1722707 "MATRIX" 1722872 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-710 1714209 1714982 1715718 "MATLIN" 1717866 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-709 1712785 1712956 1713289 "MATCAT2" 1714044 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-708 1702124 1705842 1705919 "MATCAT" 1710951 NIL MATCAT (NIL T T T) -9 NIL 1712423 NIL) (-707 1698077 1699387 1700800 "MATCAT-" 1700805 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-706 1696153 1696513 1696897 "MAPPKG3" 1697752 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-705 1695110 1695307 1695529 "MAPPKG2" 1695977 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-704 1693567 1693893 1694220 "MAPPKG1" 1694816 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-703 1692568 1692973 1693150 "MAPPAST" 1693410 T MAPPAST (NIL) -8 NIL NIL NIL) (-702 1692173 1692237 1692360 "MAPHACK3" 1692504 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-701 1691753 1691826 1691940 "MAPHACK2" 1692105 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-700 1691179 1691294 1691436 "MAPHACK1" 1691644 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-699 1689102 1689879 1690183 "MAGMA" 1690907 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-698 1688521 1688826 1688917 "MACROAST" 1689031 T MACROAST (NIL) -8 NIL NIL NIL) (-697 1684764 1686760 1687221 "M3D" 1688093 NIL M3D (NIL T) -8 NIL NIL NIL) (-696 1678236 1683075 1683116 "LZSTAGG" 1683898 NIL LZSTAGG (NIL T) -9 NIL 1684193 NIL) (-695 1673918 1675367 1676824 "LZSTAGG-" 1676829 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-694 1670831 1671809 1672296 "LWORD" 1673463 NIL LWORD (NIL T) -8 NIL NIL NIL) (-693 1670353 1670635 1670710 "LSTAST" 1670776 T LSTAST (NIL) -8 NIL NIL NIL) (-692 1662281 1670124 1670258 "LSQM" 1670263 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-691 1661499 1661644 1661872 "LSPP" 1662136 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-690 1658236 1658952 1659682 "LSMP1" 1660801 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-689 1656018 1656349 1656805 "LSMP" 1657925 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-688 1649146 1655108 1655149 "LSAGG" 1655211 NIL LSAGG (NIL T) -9 NIL 1655289 NIL) (-687 1645655 1646765 1647978 "LSAGG-" 1647983 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-686 1642950 1644799 1645048 "LPOLY" 1645450 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-685 1642526 1642617 1642740 "LPEFRAC" 1642859 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-684 1642209 1642288 1642316 "LOGIC" 1642427 T LOGIC (NIL) -9 NIL 1642509 NIL) (-683 1642065 1642094 1642165 "LOGIC-" 1642170 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-682 1641240 1641398 1641591 "LODOOPS" 1641921 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-681 1639764 1640013 1640366 "LODOF" 1640987 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-680 1635640 1638399 1638440 "LODOCAT" 1638878 NIL LODOCAT (NIL T) -9 NIL 1639089 NIL) (-679 1635355 1635431 1635558 "LODOCAT-" 1635563 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-678 1632341 1635196 1635314 "LODO2" 1635319 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-677 1629448 1632278 1632323 "LODO1" 1632328 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-676 1626543 1629364 1629430 "LODO" 1629435 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-675 1625412 1625589 1625894 "LODEEF" 1626366 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-674 1623589 1624506 1624759 "LO" 1625244 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1618561 1621755 1621796 "LNAGG" 1622658 NIL LNAGG (NIL T) -9 NIL 1623093 NIL) (-672 1617654 1617922 1618264 "LNAGG-" 1618269 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-671 1613634 1614579 1615218 "LMOPS" 1617069 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-670 1612933 1613411 1613452 "LMODULE" 1613457 NIL LMODULE (NIL T) -9 NIL 1613483 NIL) (-669 1609888 1612578 1612701 "LMDICT" 1612843 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-668 1609464 1609678 1609719 "LLINSET" 1609780 NIL LLINSET (NIL T) -9 NIL 1609824 NIL) (-667 1609109 1609372 1609432 "LITERAL" 1609437 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-666 1608628 1608708 1608847 "LIST3" 1609029 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-665 1606726 1607074 1607473 "LIST2MAP" 1608275 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-664 1605715 1605911 1606139 "LIST2" 1606544 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-663 1598169 1604649 1604953 "LIST" 1605444 NIL LIST (NIL T) -8 NIL NIL NIL) (-662 1597752 1597988 1598029 "LINSET" 1598034 NIL LINSET (NIL T) -9 NIL 1598068 NIL) (-661 1596566 1597260 1597427 "LINFORM" 1597637 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-660 1594865 1595593 1595634 "LINEXP" 1596124 NIL LINEXP (NIL T) -9 NIL 1596397 NIL) (-659 1593441 1594345 1594526 "LINELT" 1594736 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-658 1591998 1592278 1592589 "LINDEP" 1593193 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-657 1591134 1591730 1591840 "LINBASIS" 1591928 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-656 1587871 1588620 1589397 "LIMITRF" 1590389 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-655 1586156 1586470 1586879 "LIMITPS" 1587566 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-654 1584984 1585559 1585599 "LIECAT" 1585739 NIL LIECAT (NIL T) -9 NIL 1585890 NIL) (-653 1584819 1584852 1584940 "LIECAT-" 1584945 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-652 1578839 1584330 1584558 "LIE" 1584640 NIL LIE (NIL T T) -8 NIL NIL NIL) (-651 1571024 1578379 1578535 "LIB" 1578703 T LIB (NIL) -8 NIL NIL NIL) (-650 1566593 1567542 1568477 "LGROBP" 1570141 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-649 1565217 1566125 1566153 "LFCAT" 1566360 T LFCAT (NIL) -9 NIL 1566499 NIL) (-648 1563155 1563489 1563839 "LF" 1564938 NIL LF (NIL T T) -7 NIL NIL NIL) (-647 1560015 1560687 1561375 "LEXTRIPK" 1562519 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-646 1556603 1557585 1558088 "LEXP" 1559595 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-645 1556019 1556324 1556416 "LETAST" 1556531 T LETAST (NIL) -8 NIL NIL NIL) (-644 1554405 1554730 1555131 "LEADCDET" 1555701 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-643 1553583 1553669 1553898 "LAZM3PK" 1554326 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-642 1548094 1551660 1552198 "LAUPOL" 1553095 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-641 1547667 1547717 1547878 "LAPLACE" 1548044 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-640 1546515 1547231 1547272 "LALG" 1547334 NIL LALG (NIL T) -9 NIL 1547393 NIL) (-639 1546211 1546288 1546424 "LALG-" 1546429 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-638 1543948 1545312 1545563 "LA" 1546044 NIL LA (NIL T T T) -8 NIL NIL NIL) (-637 1543777 1543807 1543848 "KVTFROM" 1543910 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-636 1542534 1543144 1543329 "KTVLOGIC" 1543612 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-635 1542363 1542393 1542434 "KRCFROM" 1542496 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-634 1541255 1541454 1541753 "KOVACIC" 1542163 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-633 1541084 1541114 1541155 "KONVERT" 1541217 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-632 1540913 1540943 1540984 "KOERCE" 1541046 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-631 1540397 1540490 1540622 "KERNEL2" 1540827 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-630 1538084 1538990 1539367 "KERNEL" 1540053 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-629 1531555 1536561 1536615 "KDAGG" 1536992 NIL KDAGG (NIL T T) -9 NIL 1537198 NIL) (-628 1531066 1531208 1531413 "KDAGG-" 1531418 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-627 1523766 1530727 1530882 "KAFILE" 1530944 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-626 1523370 1523655 1523718 "JVMOP" 1523723 T JVMOP (NIL) -8 NIL NIL NIL) (-625 1522106 1522610 1522859 "JVMMDACC" 1523141 T JVMMDACC (NIL) -8 NIL NIL NIL) (-624 1521042 1521496 1521701 "JVMFDACC" 1521921 T JVMFDACC (NIL) -8 NIL NIL NIL) (-623 1519623 1520118 1520418 "JVMCSTTG" 1520762 T JVMCSTTG (NIL) -8 NIL NIL NIL) (-622 1518759 1519163 1519324 "JVMCFACC" 1519482 T JVMCFACC (NIL) -8 NIL NIL NIL) (-621 1518437 1518676 1518725 "JVMBCODE" 1518730 T JVMBCODE (NIL) -8 NIL NIL NIL) (-620 1512456 1517948 1518176 "JORDAN" 1518258 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-619 1511769 1512105 1512226 "JOINAST" 1512355 T JOINAST (NIL) -8 NIL NIL NIL) (-618 1507804 1509946 1510000 "IXAGG" 1510929 NIL IXAGG (NIL T T) -9 NIL 1511388 NIL) (-617 1506657 1507029 1507448 "IXAGG-" 1507453 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-616 1501746 1506579 1506638 "IVECTOR" 1506643 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-615 1500471 1500749 1501015 "ITUPLE" 1501513 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-614 1498943 1499150 1499445 "ITRIGMNP" 1500293 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-613 1497670 1497892 1498175 "ITFUN3" 1498719 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-612 1497268 1497331 1497454 "ITFUN2" 1497593 NIL ITFUN2 (NIL T T) -8 NIL NIL NIL) (-611 1496373 1496748 1496922 "ITFORM" 1497114 T ITFORM (NIL) -8 NIL NIL NIL) (-610 1494142 1495393 1495671 "ITAYLOR" 1496128 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-609 1482539 1488279 1489442 "ISUPS" 1493012 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-608 1481631 1481783 1482019 "ISUMP" 1482386 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-607 1476481 1481576 1481617 "ISTRING" 1481622 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-606 1475897 1476202 1476294 "ISAST" 1476409 T ISAST (NIL) -8 NIL NIL NIL) (-605 1475094 1475188 1475404 "IRURPK" 1475811 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-604 1474006 1474231 1474471 "IRSN" 1474874 T IRSN (NIL) -7 NIL NIL NIL) (-603 1472051 1472432 1472861 "IRRF2F" 1473644 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-602 1471792 1471836 1471912 "IRREDFFX" 1472007 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-601 1470365 1470666 1470965 "IROOT" 1471525 NIL IROOT (NIL T) -7 NIL NIL NIL) (-600 1469504 1469858 1470009 "IRFORM" 1470234 T IRFORM (NIL) -8 NIL NIL NIL) (-599 1468586 1468717 1468931 "IR2F" 1469387 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-598 1466175 1466694 1467260 "IR2" 1468064 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-597 1462615 1463859 1464551 "IR" 1465515 NIL IR (NIL T) -8 NIL NIL NIL) (-596 1462400 1462440 1462500 "IPRNTPK" 1462575 T IPRNTPK (NIL) -7 NIL NIL NIL) (-595 1458353 1462289 1462358 "IPF" 1462363 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-594 1456374 1458278 1458335 "IPADIC" 1458340 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-593 1455632 1455934 1456064 "IP4ADDR" 1456264 T IP4ADDR (NIL) -8 NIL NIL NIL) (-592 1454970 1455261 1455393 "IOMODE" 1455520 T IOMODE (NIL) -8 NIL NIL NIL) (-591 1453941 1454567 1454694 "IOBFILE" 1454863 T IOBFILE (NIL) -8 NIL NIL NIL) (-590 1453351 1453845 1453873 "IOBCON" 1453878 T IOBCON (NIL) -9 NIL 1453899 NIL) (-589 1452856 1452920 1453103 "INVLAPLA" 1453287 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-588 1442426 1444858 1447244 "INTTR" 1450520 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-587 1438719 1439503 1440368 "INTTOOLS" 1441611 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-586 1438299 1438396 1438513 "INTSLPE" 1438622 T INTSLPE (NIL) -7 NIL NIL NIL) (-585 1435766 1438222 1438281 "INTRVL" 1438286 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-584 1433344 1433880 1434455 "INTRF" 1435251 NIL INTRF (NIL T) -7 NIL NIL NIL) (-583 1432737 1432852 1432994 "INTRET" 1433242 NIL INTRET (NIL T) -7 NIL NIL NIL) (-582 1430710 1431123 1431593 "INTRAT" 1432345 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-581 1427955 1428556 1429175 "INTPM" 1430195 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-580 1424672 1425299 1426037 "INTPAF" 1427341 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-579 1419773 1420813 1421864 "INTPACK" 1423641 T INTPACK (NIL) -7 NIL NIL NIL) (-578 1419019 1419177 1419385 "INTHERTR" 1419615 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-577 1418452 1418538 1418726 "INTHERAL" 1418933 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-576 1416220 1416741 1417198 "INTHEORY" 1418015 T INTHEORY (NIL) -7 NIL NIL NIL) (-575 1407552 1409247 1411019 "INTG0" 1414572 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-574 1388077 1392915 1397725 "INTFTBL" 1402762 T INTFTBL (NIL) -8 NIL NIL NIL) (-573 1387302 1387464 1387637 "INTFACT" 1387936 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-572 1384699 1385175 1385732 "INTEF" 1386856 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-571 1382896 1383791 1383819 "INTDOM" 1384120 T INTDOM (NIL) -9 NIL 1384327 NIL) (-570 1382235 1382439 1382681 "INTDOM-" 1382686 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-569 1378103 1380524 1380578 "INTCAT" 1381377 NIL INTCAT (NIL T) -9 NIL 1381698 NIL) (-568 1377557 1377678 1377806 "INTBIT" 1377995 T INTBIT (NIL) -7 NIL NIL NIL) (-567 1376238 1376410 1376717 "INTALG" 1377402 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-566 1375715 1375811 1375968 "INTAF" 1376142 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-565 1368682 1375525 1375665 "INTABL" 1375670 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-564 1367923 1368485 1368550 "INT8" 1368584 T INT8 (NIL) -8 NIL NIL 1368629) (-563 1367163 1367725 1367790 "INT64" 1367824 T INT64 (NIL) -8 NIL NIL 1367869) (-562 1366403 1366965 1367030 "INT32" 1367064 T INT32 (NIL) -8 NIL NIL 1367109) (-561 1365643 1366205 1366270 "INT16" 1366304 T INT16 (NIL) -8 NIL NIL 1366349) (-560 1361831 1365440 1365549 "INT" 1365554 T INT (NIL) -8 NIL NIL NIL) (-559 1355926 1359379 1359407 "INS" 1360341 T INS (NIL) -9 NIL 1361006 NIL) (-558 1352980 1353937 1354911 "INS-" 1354984 NIL INS- (NIL T) -8 NIL NIL NIL) (-557 1351737 1351982 1352280 "INPSIGN" 1352733 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-556 1350831 1350972 1351169 "INPRODPF" 1351617 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-555 1349701 1349842 1350079 "INPRODFF" 1350711 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-554 1348689 1348853 1349113 "INNMFACT" 1349537 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-553 1347868 1347983 1348171 "INMODGCD" 1348588 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-552 1346352 1346621 1346945 "INFSP" 1347613 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-551 1345512 1345653 1345836 "INFPROD0" 1346232 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-550 1345110 1345182 1345280 "INFORM1" 1345447 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-549 1341677 1343175 1343690 "INFORM" 1344603 T INFORM (NIL) -8 NIL NIL NIL) (-548 1341182 1341289 1341403 "INFINITY" 1341583 T INFINITY (NIL) -7 NIL NIL NIL) (-547 1340256 1340902 1341003 "INETCLTS" 1341101 T INETCLTS (NIL) -8 NIL NIL NIL) (-546 1338854 1339122 1339443 "INEP" 1340004 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-545 1337915 1338751 1338816 "INDE" 1338821 NIL INDE (NIL T) -8 NIL NIL NIL) (-544 1337467 1337547 1337664 "INCRMAPS" 1337842 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-543 1336189 1336736 1336942 "INBFILE" 1337281 T INBFILE (NIL) -8 NIL NIL NIL) (-542 1331368 1332425 1333369 "INBFF" 1335277 NIL INBFF (NIL T) -7 NIL NIL NIL) (-541 1330222 1330545 1330573 "INBCON" 1331086 T INBCON (NIL) -9 NIL 1331352 NIL) (-540 1329432 1329697 1329973 "INBCON-" 1329978 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-539 1328851 1329156 1329247 "INAST" 1329361 T INAST (NIL) -8 NIL NIL NIL) (-538 1328218 1328530 1328636 "IMPTAST" 1328765 T IMPTAST (NIL) -8 NIL NIL NIL) (-537 1324139 1328062 1328166 "IMATRIX" 1328171 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-536 1322831 1322970 1323286 "IMATQF" 1323995 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-535 1321011 1321278 1321615 "IMATLIN" 1322587 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-534 1314926 1320935 1320993 "ILIST" 1320998 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-533 1312592 1314786 1314899 "IIARRAY2" 1314904 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-532 1307392 1312503 1312567 "IFF" 1312572 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-531 1306673 1307009 1307125 "IFAST" 1307296 T IFAST (NIL) -8 NIL NIL NIL) (-530 1301185 1305965 1306153 "IFARRAY" 1306530 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-529 1300223 1301089 1301162 "IFAMON" 1301167 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-528 1299795 1299872 1299926 "IEVALAB" 1300133 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-527 1299458 1299538 1299698 "IEVALAB-" 1299703 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-526 1298522 1299347 1299422 "IDPOAMS" 1299427 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-525 1297655 1298411 1298486 "IDPOAM" 1298491 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-524 1297036 1297570 1297632 "IDPO" 1297637 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1295516 1296043 1296095 "IDPC" 1296607 NIL IDPC (NIL T T) -9 NIL 1296888 NIL) (-522 1294848 1295408 1295481 "IDPAM" 1295486 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-521 1294063 1294740 1294813 "IDPAG" 1294818 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-520 1293607 1293869 1293959 "IDENT" 1293993 T IDENT (NIL) -8 NIL NIL NIL) (-519 1289826 1290710 1291605 "IDECOMP" 1292764 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-518 1282461 1283749 1284796 "IDEAL" 1288862 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-517 1281603 1281733 1281933 "ICDEN" 1282345 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-516 1280578 1281083 1281230 "ICARD" 1281476 T ICARD (NIL) -8 NIL NIL NIL) (-515 1278608 1278951 1279356 "IBPTOOLS" 1280255 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-514 1273723 1278228 1278341 "IBITS" 1278527 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-513 1270398 1271022 1271717 "IBATOOL" 1273140 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-512 1268159 1268639 1269172 "IBACHIN" 1269933 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-511 1265749 1268005 1268108 "IARRAY2" 1268113 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-510 1261462 1265675 1265732 "IARRAY1" 1265737 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-509 1254472 1259874 1260355 "IAN" 1261001 T IAN (NIL) -8 NIL NIL NIL) (-508 1253977 1254040 1254213 "IALGFACT" 1254409 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-507 1253469 1253618 1253646 "HYPCAT" 1253853 T HYPCAT (NIL) -9 NIL NIL NIL) (-506 1252971 1253124 1253310 "HYPCAT-" 1253315 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-505 1252518 1252766 1252849 "HOSTNAME" 1252908 T HOSTNAME (NIL) -8 NIL NIL NIL) (-504 1252351 1252400 1252441 "HOMOTOP" 1252446 NIL HOMOTOP (NIL T) -9 NIL 1252479 NIL) (-503 1248784 1250283 1250324 "HOAGG" 1251305 NIL HOAGG (NIL T) -9 NIL 1252034 NIL) (-502 1247300 1247777 1248303 "HOAGG-" 1248308 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-501 1240336 1246893 1247043 "HEXADEC" 1247170 T HEXADEC (NIL) -8 NIL NIL NIL) (-500 1239048 1239306 1239569 "HEUGCD" 1240113 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-499 1237980 1238885 1239015 "HELLFDIV" 1239020 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-498 1235990 1237757 1237845 "HEAP" 1237924 NIL HEAP (NIL T) -8 NIL NIL NIL) (-497 1235187 1235542 1235676 "HEADAST" 1235876 T HEADAST (NIL) -8 NIL NIL NIL) (-496 1228574 1235102 1235164 "HDP" 1235169 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-495 1221586 1228209 1228361 "HDMP" 1228475 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-494 1220892 1221050 1221214 "HB" 1221442 T HB (NIL) -7 NIL NIL NIL) (-493 1213902 1220738 1220842 "HASHTBL" 1220847 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-492 1213318 1213623 1213715 "HASAST" 1213830 T HASAST (NIL) -8 NIL NIL NIL) (-491 1210724 1212940 1213122 "HACKPI" 1213156 T HACKPI (NIL) -8 NIL NIL NIL) (-490 1205896 1210577 1210690 "GTSET" 1210695 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-489 1198935 1205774 1205872 "GSTBL" 1205877 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-488 1190684 1198100 1198356 "GSERIES" 1198735 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-487 1189715 1190228 1190256 "GROUP" 1190459 T GROUP (NIL) -9 NIL 1190593 NIL) (-486 1189039 1189240 1189491 "GROUP-" 1189496 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-485 1187388 1187727 1188114 "GROEBSOL" 1188716 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-484 1186216 1186576 1186627 "GRMOD" 1187156 NIL GRMOD (NIL T T) -9 NIL 1187324 NIL) (-483 1185972 1186020 1186148 "GRMOD-" 1186153 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-482 1181112 1182326 1183326 "GRIMAGE" 1184992 T GRIMAGE (NIL) -8 NIL NIL NIL) (-481 1179506 1179839 1180163 "GRDEF" 1180808 T GRDEF (NIL) -7 NIL NIL NIL) (-480 1178938 1179066 1179207 "GRAY" 1179385 T GRAY (NIL) -7 NIL NIL NIL) (-479 1178015 1178517 1178568 "GRALG" 1178721 NIL GRALG (NIL T T) -9 NIL 1178814 NIL) (-478 1177652 1177749 1177912 "GRALG-" 1177917 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-477 1174133 1177235 1177414 "GPOLSET" 1177558 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-476 1173481 1173544 1173802 "GOSPER" 1174070 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-475 1169051 1169919 1170445 "GMODPOL" 1173180 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-474 1168038 1168240 1168478 "GHENSEL" 1168863 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-473 1162110 1163037 1164057 "GENUPS" 1167122 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-472 1161801 1161858 1161947 "GENUFACT" 1162053 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-471 1161201 1161290 1161455 "GENPGCD" 1161719 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-470 1160669 1160710 1160923 "GENMFACT" 1161160 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-469 1159205 1159492 1159799 "GENEEZ" 1160412 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-468 1152377 1158816 1158978 "GDMP" 1159128 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-467 1141115 1146148 1147254 "GCNAALG" 1151360 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-466 1139242 1140290 1140318 "GCDDOM" 1140573 T GCDDOM (NIL) -9 NIL 1140730 NIL) (-465 1138682 1138839 1139054 "GCDDOM-" 1139059 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-464 1127154 1129628 1132020 "GBINTERN" 1136373 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-463 1124955 1125283 1125704 "GBF" 1126829 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-462 1123712 1123901 1124168 "GBEUCLID" 1124771 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-461 1122362 1122569 1122873 "GB" 1123491 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-460 1121693 1121836 1121985 "GAUSSFAC" 1122233 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-459 1120014 1120362 1120676 "GALUTIL" 1121412 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-458 1118274 1118596 1118920 "GALPOLYU" 1119741 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-457 1115573 1115929 1116336 "GALFACTU" 1117971 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-456 1107187 1108878 1110486 "GALFACT" 1114005 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-455 1104473 1105233 1105261 "FVFUN" 1106417 T FVFUN (NIL) -9 NIL 1107137 NIL) (-454 1103703 1103921 1103949 "FVC" 1104240 T FVC (NIL) -9 NIL 1104423 NIL) (-453 1103304 1103528 1103596 "FUNDESC" 1103655 T FUNDESC (NIL) -8 NIL NIL NIL) (-452 1102877 1103101 1103182 "FUNCTION" 1103256 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-451 1101554 1102178 1102381 "FTEM" 1102694 T FTEM (NIL) -8 NIL NIL NIL) (-450 1099184 1099876 1100342 "FT" 1101108 T FT (NIL) -8 NIL NIL NIL) (-449 1097453 1097764 1098161 "FSUPFACT" 1098875 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-448 1095772 1096139 1096471 "FST" 1097141 T FST (NIL) -8 NIL NIL NIL) (-447 1094953 1095077 1095265 "FSRED" 1095654 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-446 1093642 1093908 1094255 "FSPRMELT" 1094668 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-445 1090852 1091386 1091872 "FSPECF" 1093205 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-444 1090374 1090434 1090604 "FSINT" 1090793 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-443 1088510 1089367 1089670 "FSERIES" 1090153 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-442 1087534 1087668 1087892 "FSCINT" 1088390 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-441 1086558 1086719 1086946 "FSAGG2" 1087387 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-440 1082422 1085502 1085543 "FSAGG" 1085913 NIL FSAGG (NIL T) -9 NIL 1086172 NIL) (-439 1080022 1080785 1081581 "FSAGG-" 1081676 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-438 1077682 1077980 1078528 "FS2UPS" 1079740 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-437 1076548 1076731 1077033 "FS2EXPXP" 1077507 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-436 1076176 1076225 1076354 "FS2" 1076499 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-435 1056400 1065950 1065991 "FS" 1069875 NIL FS (NIL T) -9 NIL 1072164 NIL) (-434 1044461 1048036 1052093 "FS-" 1052393 NIL FS- (NIL T T) -8 NIL NIL NIL) (-433 1043875 1044002 1044154 "FRUTIL" 1044341 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-432 1038386 1041564 1041604 "FRNAALG" 1042924 NIL FRNAALG (NIL T) -9 NIL 1043522 NIL) (-431 1033867 1035135 1036410 "FRNAALG-" 1037160 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-430 1033499 1033548 1033675 "FRNAAF2" 1033818 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-429 1031786 1032348 1032644 "FRMOD" 1033311 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-428 1030971 1031064 1031355 "FRIDEAL2" 1031693 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-427 1028576 1029346 1029664 "FRIDEAL" 1030762 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-426 1027667 1028123 1028164 "FRETRCT" 1028169 NIL FRETRCT (NIL T) -9 NIL 1028345 NIL) (-425 1026725 1027010 1027361 "FRETRCT-" 1027366 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-424 1023539 1025009 1025068 "FRAMALG" 1025950 NIL FRAMALG (NIL T T) -9 NIL 1026242 NIL) (-423 1021577 1022128 1022758 "FRAMALG-" 1022981 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-422 1021207 1021270 1021377 "FRAC2" 1021514 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-421 1014178 1020680 1020957 "FRAC" 1020962 NIL FRAC (NIL T) -8 NIL NIL NIL) (-420 1013808 1013871 1013978 "FR2" 1014115 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-419 1004725 1009303 1010661 "FR" 1012482 NIL FR (NIL T) -8 NIL NIL NIL) (-418 998637 1002104 1002132 "FPS" 1003251 T FPS (NIL) -9 NIL 1003808 NIL) (-417 998062 998195 998359 "FPS-" 998505 NIL FPS- (NIL T) -8 NIL NIL NIL) (-416 995014 997019 997047 "FPC" 997272 T FPC (NIL) -9 NIL 997414 NIL) (-415 994795 994847 994944 "FPC-" 994949 NIL FPC- (NIL T) -8 NIL NIL NIL) (-414 993553 994283 994324 "FPATMAB" 994329 NIL FPATMAB (NIL T) -9 NIL 994481 NIL) (-413 991696 992295 992642 "FPARFRAC" 993269 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-412 986988 987588 988270 "FORTRAN" 991128 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-411 984562 985226 985254 "FORTFN" 986314 T FORTFN (NIL) -9 NIL 986938 NIL) (-410 984314 984376 984404 "FORTCAT" 984463 T FORTCAT (NIL) -9 NIL 984525 NIL) (-409 982000 982530 983069 "FORT" 983795 T FORT (NIL) -7 NIL NIL NIL) (-408 981782 981818 981887 "FORMULA1" 981964 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-407 979786 980398 980788 "FORMULA" 981412 T FORMULA (NIL) -8 NIL NIL NIL) (-406 979303 979361 979534 "FORDER" 979728 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-405 978363 978563 978756 "FOP" 979130 T FOP (NIL) -7 NIL NIL NIL) (-404 976776 977643 977817 "FNLA" 978245 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-403 975395 975906 975934 "FNCAT" 976394 T FNCAT (NIL) -9 NIL 976654 NIL) (-402 974838 975354 975382 "FNAME" 975387 T FNAME (NIL) -8 NIL NIL NIL) (-401 973164 974337 974365 "FMTC" 974370 T FMTC (NIL) -9 NIL 974406 NIL) (-400 971713 973100 973146 "FMONOID" 973151 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-399 968302 969668 969709 "FMONCAT" 970926 NIL FMONCAT (NIL T) -9 NIL 971531 NIL) (-398 965624 966372 966400 "FMFUN" 967544 T FMFUN (NIL) -9 NIL 968252 NIL) (-397 962497 963549 963603 "FMCAT" 964798 NIL FMCAT (NIL T T) -9 NIL 965293 NIL) (-396 961730 961947 961975 "FMC" 962265 T FMC (NIL) -9 NIL 962447 NIL) (-395 960398 961496 961596 "FM1" 961675 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-394 959416 960140 960289 "FM" 960294 NIL FM (NIL T T) -8 NIL NIL NIL) (-393 957154 957606 958100 "FLOATRP" 958967 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-392 954556 955092 955670 "FLOATCP" 956621 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-391 947212 952285 952906 "FLOAT" 953955 T FLOAT (NIL) -8 NIL NIL NIL) (-390 945730 946804 946845 "FLINEXP" 946850 NIL FLINEXP (NIL T) -9 NIL 946943 NIL) (-389 944860 945119 945447 "FLINEXP-" 945452 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-388 943918 944080 944304 "FLASORT" 944712 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-387 940836 941888 941940 "FLALG" 943167 NIL FLALG (NIL T T) -9 NIL 943634 NIL) (-386 939860 940021 940248 "FLAGG2" 940689 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-385 933115 937269 937310 "FLAGG" 938572 NIL FLAGG (NIL T) -9 NIL 939224 NIL) (-384 931769 932180 932670 "FLAGG-" 932675 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 928400 929614 929673 "FINRALG" 930801 NIL FINRALG (NIL T T) -9 NIL 931309 NIL) (-382 927524 927789 928128 "FINRALG-" 928133 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-381 926830 927129 927157 "FINITE" 927353 T FINITE (NIL) -9 NIL 927460 NIL) (-380 918781 921360 921400 "FINAALG" 925067 NIL FINAALG (NIL T) -9 NIL 926520 NIL) (-379 913897 915163 916307 "FINAALG-" 917686 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-378 912457 912879 912933 "FILECAT" 913617 NIL FILECAT (NIL T T) -9 NIL 913833 NIL) (-377 911735 912212 912315 "FILE" 912387 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 909131 910965 910993 "FIELD" 911033 T FIELD (NIL) -9 NIL 911113 NIL) (-375 907673 908136 908647 "FIELD-" 908652 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-374 905356 906308 906655 "FGROUP" 907359 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-373 904428 904610 904830 "FGLMICPK" 905188 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-372 899662 904353 904410 "FFX" 904415 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-371 899257 899324 899459 "FFSLPE" 899595 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-370 898755 898797 899006 "FFPOLY2" 899215 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-369 894631 895527 896323 "FFPOLY" 897991 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 889879 894550 894613 "FFP" 894618 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-367 884389 889222 889412 "FFNBX" 889733 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-366 878701 883524 883782 "FFNBP" 884243 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-365 872718 877985 878196 "FFNB" 878534 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-364 871538 871748 872063 "FFINTBAS" 872515 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-363 867110 869785 869813 "FFIELDC" 870433 T FFIELDC (NIL) -9 NIL 870809 NIL) (-362 865688 866143 866640 "FFIELDC-" 866645 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-361 865245 865303 865427 "FFHOM" 865630 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-360 862904 863427 863944 "FFF" 864760 NIL FFF (NIL T) -7 NIL NIL NIL) (-359 857918 862646 862747 "FFCGX" 862847 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-358 852936 857650 857757 "FFCGP" 857861 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-357 847515 852663 852771 "FFCG" 852872 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-356 846920 846969 847204 "FFCAT2" 847466 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-355 825581 836652 836738 "FFCAT" 841903 NIL FFCAT (NIL T T T) -9 NIL 843354 NIL) (-354 820592 821826 823140 "FFCAT-" 824370 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-353 815392 820503 820567 "FF" 820572 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-352 804045 808364 809584 "FEXPR" 814244 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-351 802973 803442 803483 "FEVALAB" 803567 NIL FEVALAB (NIL T) -9 NIL 803828 NIL) (-350 802090 802342 802680 "FEVALAB-" 802685 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-349 798952 799837 799952 "FDIVCAT" 801520 NIL FDIVCAT (NIL T T T T) -9 NIL 801957 NIL) (-348 798708 798741 798911 "FDIVCAT-" 798916 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-347 797922 798015 798292 "FDIV2" 798615 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-346 796332 797305 797508 "FDIV" 797821 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-345 795240 795627 795829 "FCTRDATA" 796150 T FCTRDATA (NIL) -8 NIL NIL NIL) (-344 793896 794185 794474 "FCPAK1" 794971 T FCPAK1 (NIL) -7 NIL NIL NIL) (-343 792899 793396 793537 "FCOMP" 793787 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-342 776213 780049 783587 "FC" 789381 T FC (NIL) -8 NIL NIL NIL) (-341 767902 772534 772574 "FAXF" 774376 NIL FAXF (NIL T) -9 NIL 775068 NIL) (-340 765023 765836 766661 "FAXF-" 767126 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-339 759592 764399 764575 "FARRAY" 764880 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-338 754151 756539 756592 "FAMR" 757615 NIL FAMR (NIL T T) -9 NIL 758075 NIL) (-337 752975 753343 753778 "FAMR-" 753783 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-336 752002 752897 752950 "FAMONOID" 752955 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-335 749632 750484 750537 "FAMONC" 751478 NIL FAMONC (NIL T T) -9 NIL 751864 NIL) (-334 748106 749386 749523 "FAGROUP" 749528 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-333 745859 746220 746623 "FACUTIL" 747787 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-332 744946 745143 745365 "FACTFUNC" 745669 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-331 736704 744249 744448 "EXPUPXS" 744802 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-330 734157 734727 735313 "EXPRTUBE" 736138 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-329 730368 731020 731750 "EXPRODE" 733496 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-328 724802 725509 726315 "EXPR2UPS" 729666 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-327 724428 724491 724600 "EXPR2" 724739 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-326 708722 723077 723506 "EXPR" 724032 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 699039 707873 708164 "EXPEXPAN" 708558 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-324 698459 698763 698854 "EXITAST" 698968 T EXITAST (NIL) -8 NIL NIL NIL) (-323 698223 698416 698445 "EXIT" 698450 T EXIT (NIL) -8 NIL NIL NIL) (-322 697844 697912 698025 "EVALCYC" 698155 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-321 697361 697503 697544 "EVALAB" 697714 NIL EVALAB (NIL T) -9 NIL 697818 NIL) (-320 696818 696964 697185 "EVALAB-" 697190 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-319 693926 695474 695502 "EUCDOM" 696057 T EUCDOM (NIL) -9 NIL 696407 NIL) (-318 692265 692773 693363 "EUCDOM-" 693368 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-317 691891 691954 692063 "ESTOOLS2" 692202 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-316 691636 691684 691764 "ESTOOLS1" 691843 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-315 678953 681934 684684 "ESTOOLS" 688906 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 678692 678730 678812 "ESCONT1" 678915 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-313 675000 675827 676607 "ESCONT" 677932 T ESCONT (NIL) -7 NIL NIL NIL) (-312 674669 674725 674825 "ES2" 674944 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-311 674293 674357 674466 "ES1" 674605 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-310 667994 669924 669952 "ES" 672720 T ES (NIL) -9 NIL 674130 NIL) (-309 662671 664228 666045 "ES-" 666209 NIL ES- (NIL T) -8 NIL NIL NIL) (-308 661863 662016 662192 "ERROR" 662515 T ERROR (NIL) -7 NIL NIL NIL) (-307 654879 661722 661813 "EQTBL" 661818 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-306 654505 654568 654677 "EQ2" 654816 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-305 646764 649819 651268 "EQ" 653089 NIL -1506 (NIL T) -8 NIL NIL NIL) (-304 642007 643102 644195 "EP" 645703 NIL EP (NIL T) -7 NIL NIL NIL) (-303 640547 640898 641204 "ENV" 641721 T ENV (NIL) -8 NIL NIL NIL) (-302 639507 640181 640209 "ENTIRER" 640214 T ENTIRER (NIL) -9 NIL 640260 NIL) (-301 635919 637689 638050 "EMR" 639315 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-300 635023 635234 635288 "ELTAGG" 635668 NIL ELTAGG (NIL T T) -9 NIL 635879 NIL) (-299 634730 634804 634945 "ELTAGG-" 634950 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-298 634488 634523 634577 "ELTAB" 634661 NIL ELTAB (NIL T T) -9 NIL 634713 NIL) (-297 633590 633760 633959 "ELFUTS" 634339 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-296 633314 633388 633416 "ELEMFUN" 633521 T ELEMFUN (NIL) -9 NIL NIL NIL) (-295 633178 633205 633273 "ELEMFUN-" 633278 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-294 627589 631220 631261 "ELAGG" 632201 NIL ELAGG (NIL T) -9 NIL 632664 NIL) (-293 625766 626308 626971 "ELAGG-" 626976 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-292 625048 625215 625371 "ELABOR" 625630 T ELABOR (NIL) -8 NIL NIL NIL) (-291 623654 623988 624282 "ELABEXPR" 624774 T ELABEXPR (NIL) -8 NIL NIL NIL) (-290 616166 618291 619120 "EFUPXS" 622929 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-289 609292 611415 612226 "EFULS" 615441 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-288 606729 607135 607607 "EFSTRUC" 608924 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-287 596166 598086 599634 "EF" 605244 NIL EF (NIL T T) -7 NIL NIL NIL) (-286 595144 595651 595800 "EAB" 596037 T EAB (NIL) -8 NIL NIL NIL) (-285 594266 595103 595131 "E04UCFA" 595136 T E04UCFA (NIL) -8 NIL NIL NIL) (-284 593388 594225 594253 "E04NAFA" 594258 T E04NAFA (NIL) -8 NIL NIL NIL) (-283 592510 593347 593375 "E04MBFA" 593380 T E04MBFA (NIL) -8 NIL NIL NIL) (-282 591632 592469 592497 "E04JAFA" 592502 T E04JAFA (NIL) -8 NIL NIL NIL) (-281 590756 591591 591619 "E04GCFA" 591624 T E04GCFA (NIL) -8 NIL NIL NIL) (-280 589880 590715 590743 "E04FDFA" 590748 T E04FDFA (NIL) -8 NIL NIL NIL) (-279 589002 589839 589867 "E04DGFA" 589872 T E04DGFA (NIL) -8 NIL NIL NIL) (-278 583079 584527 585891 "E04AGNT" 587658 T E04AGNT (NIL) -7 NIL NIL NIL) (-277 581699 582380 582420 "DVARCAT" 582761 NIL DVARCAT (NIL T) -9 NIL 582924 NIL) (-276 580849 581115 581429 "DVARCAT-" 581434 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-275 572810 580648 580777 "DSMP" 580782 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-274 571161 571952 571993 "DSEXT" 572356 NIL DSEXT (NIL T) -9 NIL 572650 NIL) (-273 569350 569874 570540 "DSEXT-" 570545 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-272 569009 569074 569172 "DROPT1" 569285 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-271 564028 565250 566387 "DROPT0" 567892 T DROPT0 (NIL) -7 NIL NIL NIL) (-270 558611 559973 561041 "DROPT" 562980 T DROPT (NIL) -8 NIL NIL NIL) (-269 556920 557281 557667 "DRAWPT" 558245 T DRAWPT (NIL) -7 NIL NIL NIL) (-268 556547 556606 556724 "DRAWHACK" 556861 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-267 555248 555547 555838 "DRAWCX" 556276 T DRAWCX (NIL) -7 NIL NIL NIL) (-266 554757 554832 554983 "DRAWCURV" 555174 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-265 545075 547187 549302 "DRAWCFUN" 552662 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-264 539566 540585 541664 "DRAW" 544049 NIL DRAW (NIL T) -7 NIL NIL NIL) (-263 536037 538231 538272 "DQAGG" 538901 NIL DQAGG (NIL T) -9 NIL 539175 NIL) (-262 522613 530248 530331 "DPOLCAT" 532183 NIL DPOLCAT (NIL T T T T) -9 NIL 532728 NIL) (-261 517132 518798 520756 "DPOLCAT-" 520761 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-260 509989 516993 517091 "DPMO" 517096 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-259 502743 509769 509936 "DPMM" 509941 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-258 502265 502527 502616 "DOMTMPLT" 502674 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-257 501614 502067 502147 "DOMCTOR" 502205 T DOMCTOR (NIL) -8 NIL NIL NIL) (-256 500766 501094 501245 "DOMAIN" 501483 T DOMAIN (NIL) -8 NIL NIL NIL) (-255 493778 500401 500553 "DMP" 500667 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-254 491555 492845 492886 "DMEXT" 492891 NIL DMEXT (NIL T) -9 NIL 493067 NIL) (-253 491149 491211 491355 "DLP" 491493 NIL DLP (NIL T) -7 NIL NIL NIL) (-252 484272 490476 490666 "DLIST" 490991 NIL DLIST (NIL T) -8 NIL NIL NIL) (-251 480810 483097 483138 "DLAGG" 483688 NIL DLAGG (NIL T) -9 NIL 483918 NIL) (-250 479322 480136 480164 "DIVRING" 480256 T DIVRING (NIL) -9 NIL 480339 NIL) (-249 478505 478749 479049 "DIVRING-" 479054 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-248 476547 476964 477370 "DISPLAY" 478119 T DISPLAY (NIL) -7 NIL NIL NIL) (-247 475377 475598 475863 "DIRPROD2" 476340 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-246 468784 475291 475354 "DIRPROD" 475359 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 456996 463495 463548 "DIRPCAT" 463806 NIL DIRPCAT (NIL NIL T) -9 NIL 464681 NIL) (-244 454196 454964 455845 "DIRPCAT-" 456182 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-243 453477 453643 453829 "DIOSP" 454030 T DIOSP (NIL) -7 NIL NIL NIL) (-242 449891 452361 452402 "DIOPS" 452836 NIL DIOPS (NIL T) -9 NIL 453065 NIL) (-241 449410 449554 449745 "DIOPS-" 449750 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-240 448317 449089 449117 "DIFRING" 449122 T DIFRING (NIL) -9 NIL 449144 NIL) (-239 447965 448063 448091 "DIFFSPC" 448210 T DIFFSPC (NIL) -9 NIL 448285 NIL) (-238 447586 447688 447840 "DIFFSPC-" 447845 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-237 446522 447120 447161 "DIFFMOD" 447166 NIL DIFFMOD (NIL T) -9 NIL 447264 NIL) (-236 446218 446275 446316 "DIFFDOM" 446437 NIL DIFFDOM (NIL T) -9 NIL 446505 NIL) (-235 446065 446095 446179 "DIFFDOM-" 446184 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-234 443805 445269 445310 "DIFEXT" 445315 NIL DIFEXT (NIL T) -9 NIL 445468 NIL) (-233 440839 443309 443350 "DIAGG" 443355 NIL DIAGG (NIL T) -9 NIL 443375 NIL) (-232 440187 440380 440632 "DIAGG-" 440637 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-231 435037 439146 439423 "DHMATRIX" 439956 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-230 430505 431558 432568 "DFSFUN" 434047 T DFSFUN (NIL) -7 NIL NIL NIL) (-229 424739 429436 429748 "DFLOAT" 430213 T DFLOAT (NIL) -8 NIL NIL NIL) (-228 422978 423283 423672 "DFINTTLS" 424447 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-227 419797 420999 421399 "DERHAM" 422644 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-226 417333 419572 419661 "DEQUEUE" 419741 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-225 416575 416720 416903 "DEGRED" 417195 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-224 412981 413750 414596 "DEFINTRF" 415803 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-223 410518 411005 411597 "DEFINTEF" 412500 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-222 409802 410138 410253 "DEFAST" 410423 T DEFAST (NIL) -8 NIL NIL NIL) (-221 402838 409395 409545 "DECIMAL" 409672 T DECIMAL (NIL) -8 NIL NIL NIL) (-220 400296 400808 401314 "DDFACT" 402382 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-219 399886 399935 400086 "DBLRESP" 400247 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-218 399087 399656 399747 "DBASIS" 399835 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-217 396871 397317 397678 "DBASE" 398853 NIL DBASE (NIL T) -8 NIL NIL NIL) (-216 396059 396351 396497 "DATAARY" 396770 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-215 395117 396018 396046 "D03FAFA" 396051 T D03FAFA (NIL) -8 NIL NIL NIL) (-214 394176 395076 395104 "D03EEFA" 395109 T D03EEFA (NIL) -8 NIL NIL NIL) (-213 392102 392592 393081 "D03AGNT" 393707 T D03AGNT (NIL) -7 NIL NIL NIL) (-212 391343 392061 392089 "D02EJFA" 392094 T D02EJFA (NIL) -8 NIL NIL NIL) (-211 390584 391302 391330 "D02CJFA" 391335 T D02CJFA (NIL) -8 NIL NIL NIL) (-210 389825 390543 390571 "D02BHFA" 390576 T D02BHFA (NIL) -8 NIL NIL NIL) (-209 389066 389784 389812 "D02BBFA" 389817 T D02BBFA (NIL) -8 NIL NIL NIL) (-208 382197 383852 385458 "D02AGNT" 387480 T D02AGNT (NIL) -7 NIL NIL NIL) (-207 379947 380488 381034 "D01WGTS" 381671 T D01WGTS (NIL) -7 NIL NIL NIL) (-206 378954 379906 379934 "D01TRNS" 379939 T D01TRNS (NIL) -8 NIL NIL NIL) (-205 377962 378913 378941 "D01GBFA" 378946 T D01GBFA (NIL) -8 NIL NIL NIL) (-204 376970 377921 377949 "D01FCFA" 377954 T D01FCFA (NIL) -8 NIL NIL NIL) (-203 375978 376929 376957 "D01ASFA" 376962 T D01ASFA (NIL) -8 NIL NIL NIL) (-202 374986 375937 375965 "D01AQFA" 375970 T D01AQFA (NIL) -8 NIL NIL NIL) (-201 373994 374945 374973 "D01APFA" 374978 T D01APFA (NIL) -8 NIL NIL NIL) (-200 373002 373953 373981 "D01ANFA" 373986 T D01ANFA (NIL) -8 NIL NIL NIL) (-199 372010 372961 372989 "D01AMFA" 372994 T D01AMFA (NIL) -8 NIL NIL NIL) (-198 371018 371969 371997 "D01ALFA" 372002 T D01ALFA (NIL) -8 NIL NIL NIL) (-197 370026 370977 371005 "D01AKFA" 371010 T D01AKFA (NIL) -8 NIL NIL NIL) (-196 369034 369985 370013 "D01AJFA" 370018 T D01AJFA (NIL) -8 NIL NIL NIL) (-195 362257 363882 365443 "D01AGNT" 367493 T D01AGNT (NIL) -7 NIL NIL NIL) (-194 361576 361722 361874 "CYCLOTOM" 362125 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-193 358231 359024 359751 "CYCLES" 360869 T CYCLES (NIL) -7 NIL NIL NIL) (-192 357531 357677 357848 "CVMP" 358092 NIL CVMP (NIL T) -7 NIL NIL NIL) (-191 355318 355630 355999 "CTRIGMNP" 357259 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-190 354791 355049 355150 "CTORKIND" 355237 T CTORKIND (NIL) -8 NIL NIL NIL) (-189 353996 354384 354412 "CTORCAT" 354594 T CTORCAT (NIL) -9 NIL 354707 NIL) (-188 353570 353705 353864 "CTORCAT-" 353869 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-187 352984 353244 353352 "CTORCALL" 353494 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-186 352342 352778 352851 "CTOR" 352931 T CTOR (NIL) -8 NIL NIL NIL) (-185 351698 351815 351968 "CSTTOOLS" 352239 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-184 347395 348154 348912 "CRFP" 351010 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-183 346810 347116 347208 "CRCEAST" 347323 T CRCEAST (NIL) -8 NIL NIL NIL) (-182 345833 346042 346270 "CRAPACK" 346614 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-181 345213 345318 345522 "CPMATCH" 345709 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-180 344932 344966 345072 "CPIMA" 345179 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-179 341190 341952 342671 "COORDSYS" 344267 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-178 340578 340723 340865 "CONTOUR" 341068 T CONTOUR (NIL) -8 NIL NIL NIL) (-177 336043 338581 339073 "CONTFRAC" 340118 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-176 335917 335944 335972 "CONDUIT" 336009 T CONDUIT (NIL) -9 NIL NIL NIL) (-175 334871 335545 335573 "COMRING" 335578 T COMRING (NIL) -9 NIL 335630 NIL) (-174 333853 334229 334413 "COMPPROP" 334707 T COMPPROP (NIL) -8 NIL NIL NIL) (-173 333508 333549 333677 "COMPLPAT" 333812 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-172 333138 333201 333308 "COMPLEX2" 333445 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-171 321521 332947 333056 "COMPLEX" 333061 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320842 320981 321141 "COMPILER" 321381 T COMPILER (NIL) -8 NIL NIL NIL) (-169 320554 320595 320693 "COMPFACT" 320801 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-168 301927 314258 314298 "COMPCAT" 315302 NIL COMPCAT (NIL T) -9 NIL 316650 NIL) (-167 290815 294366 297993 "COMPCAT-" 298349 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-166 290538 290572 290675 "COMMUPC" 290781 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-165 290326 290366 290425 "COMMONOP" 290499 T COMMONOP (NIL) -7 NIL NIL NIL) (-164 289848 290130 290205 "COMMAAST" 290271 T COMMAAST (NIL) -8 NIL NIL NIL) (-163 289355 289599 289686 "COMM" 289781 T COMM (NIL) -8 NIL NIL NIL) (-162 288550 288798 288826 "COMBOPC" 289164 T COMBOPC (NIL) -9 NIL 289339 NIL) (-161 287404 287656 287898 "COMBINAT" 288340 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-160 283747 284435 285062 "COMBF" 286826 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-159 282409 282863 283098 "COLOR" 283532 T COLOR (NIL) -8 NIL NIL NIL) (-158 281825 282130 282222 "COLONAST" 282337 T COLONAST (NIL) -8 NIL NIL NIL) (-157 281459 281512 281637 "CMPLXRT" 281772 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-156 280847 281159 281258 "CLLCTAST" 281380 T CLLCTAST (NIL) -8 NIL NIL NIL) (-155 276306 277377 278457 "CLIP" 279787 T CLIP (NIL) -7 NIL NIL NIL) (-154 274479 275407 275647 "CLIF" 276133 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-153 270461 272597 272638 "CLAGG" 273567 NIL CLAGG (NIL T) -9 NIL 274103 NIL) (-152 268805 269340 269923 "CLAGG-" 269928 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-151 268343 268434 268574 "CINTSLPE" 268714 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-150 265808 266315 266863 "CHVAR" 267871 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-149 264848 265522 265550 "CHARZ" 265555 T CHARZ (NIL) -9 NIL 265570 NIL) (-148 264596 264642 264720 "CHARPOL" 264802 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-147 263514 264227 264255 "CHARNZ" 264302 T CHARNZ (NIL) -9 NIL 264358 NIL) (-146 260458 261568 262097 "CHAR" 263005 T CHAR (NIL) -8 NIL NIL NIL) (-145 260166 260245 260273 "CFCAT" 260384 T CFCAT (NIL) -9 NIL NIL NIL) (-144 259389 259518 259701 "CDEN" 260050 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-143 254986 258542 258822 "CCLASS" 259129 T CCLASS (NIL) -8 NIL NIL NIL) (-142 254207 254394 254571 "CATEGORY" 254829 T -10 (NIL) -8 NIL NIL NIL) (-141 253702 254126 254174 "CATCTOR" 254179 T CATCTOR (NIL) -8 NIL NIL NIL) (-140 253093 253405 253503 "CATAST" 253624 T CATAST (NIL) -8 NIL NIL NIL) (-139 252509 252814 252906 "CASEAST" 253021 T CASEAST (NIL) -8 NIL NIL NIL) (-138 251605 251765 251986 "CARTEN2" 252356 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-137 246503 247762 248506 "CARTEN" 250917 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 244633 245653 245910 "CARD" 246266 T CARD (NIL) -8 NIL NIL NIL) (-135 244155 244437 244512 "CAPSLAST" 244578 T CAPSLAST (NIL) -8 NIL NIL NIL) (-134 243597 243853 243881 "CACHSET" 244013 T CACHSET (NIL) -9 NIL 244091 NIL) (-133 242987 243375 243403 "CABMON" 243453 T CABMON (NIL) -9 NIL 243509 NIL) (-132 242424 242691 242801 "BYTEORD" 242897 T BYTEORD (NIL) -8 NIL NIL NIL) (-131 237351 241929 242101 "BYTEBUF" 242272 T BYTEBUF (NIL) -8 NIL NIL NIL) (-130 236109 236866 237015 "BYTE" 237178 T BYTE (NIL) -8 NIL NIL 237307) (-129 233371 235801 235908 "BTREE" 236035 NIL BTREE (NIL T) -8 NIL NIL NIL) (-128 230573 233019 233141 "BTOURN" 233281 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-127 227680 230015 230056 "BTCAT" 230124 NIL BTCAT (NIL T) -9 NIL 230201 NIL) (-126 227329 227427 227576 "BTCAT-" 227581 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-125 222218 226575 226603 "BTAGG" 226717 T BTAGG (NIL) -9 NIL 226827 NIL) (-124 221672 221833 222039 "BTAGG-" 222044 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-123 218408 220950 221165 "BSTREE" 221489 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-122 217516 217672 217856 "BRILL" 218264 NIL BRILL (NIL T) -7 NIL NIL NIL) (-121 213911 216214 216255 "BRAGG" 216904 NIL BRAGG (NIL T) -9 NIL 217162 NIL) (-120 212344 212846 213401 "BRAGG-" 213406 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-119 204580 211688 211873 "BPADICRT" 212191 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-118 202589 204517 204562 "BPADIC" 204567 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-117 202281 202317 202431 "BOUNDZRO" 202553 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-116 200008 200466 200941 "BOP1" 201839 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-115 194990 196434 197346 "BOP" 199116 T BOP (NIL) -8 NIL NIL NIL) (-114 193655 194578 194720 "BOOLEAN" 194868 T BOOLEAN (NIL) -8 NIL NIL NIL) (-113 193248 193405 193433 "BOOLE" 193544 T BOOLE (NIL) -9 NIL 193625 NIL) (-112 193116 193143 193209 "BOOLE-" 193214 NIL BOOLE- (NIL T) -8 NIL NIL NIL) (-111 192285 192785 192839 "BMODULE" 192844 NIL BMODULE (NIL T T) -9 NIL 192909 NIL) (-110 187606 192083 192156 "BITS" 192232 T BITS (NIL) -8 NIL NIL NIL) (-109 187003 187146 187286 "BINDING" 187486 T BINDING (NIL) -8 NIL NIL NIL) (-108 180042 186598 186747 "BINARY" 186874 T BINARY (NIL) -8 NIL NIL NIL) (-107 177649 179269 179310 "BGAGG" 179570 NIL BGAGG (NIL T) -9 NIL 179707 NIL) (-106 177474 177512 177603 "BGAGG-" 177608 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176497 176858 177063 "BFUNCT" 177289 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175167 175365 175653 "BEZOUT" 176321 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171365 174019 174349 "BBTREE" 174870 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170948 171044 171072 "BASTYPE" 171249 T BASTYPE (NIL) -9 NIL 171348 NIL) (-101 170606 170705 170840 "BASTYPE-" 170845 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 170028 170116 170268 "BALFACT" 170517 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168764 169443 169629 "AUTOMOR" 169873 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168490 168495 168521 "ATTREG" 168526 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166652 167187 167539 "ATTRBUT" 168156 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166206 166480 166546 "ATTRAST" 166604 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165706 165855 165881 "ATRIG" 166082 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165503 165556 165643 "ATRIG-" 165648 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165086 165320 165346 "ASTCAT" 165351 T ASTCAT (NIL) -9 NIL 165381 NIL) (-92 164795 164872 164991 "ASTCAT-" 164996 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162769 164571 164659 "ASTACK" 164738 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161258 161571 161936 "ASSOCEQ" 162451 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160182 160917 161041 "ASP9" 161165 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 158942 159787 159929 "ASP80" 160071 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-87 158669 158890 158929 "ASP8" 158934 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-86 157515 158346 158464 "ASP78" 158582 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-85 156376 157195 157312 "ASP77" 157429 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-84 155180 156014 156145 "ASP74" 156276 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-83 153972 154815 154947 "ASP73" 155079 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-82 152762 153607 153739 "ASP7" 153871 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-81 151758 152588 152688 "ASP6" 152693 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150597 151435 151553 "ASP55" 151671 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149438 150271 150390 "ASP50" 150509 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148418 149139 149249 "ASP49" 149359 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-77 147094 147957 148125 "ASP42" 148307 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-76 145763 146627 146797 "ASP41" 146981 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144743 145464 145574 "ASP4" 145684 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-74 143585 144420 144538 "ASP35" 144656 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143314 143533 143572 "ASP34" 143577 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 143033 143118 143194 "ASP33" 143269 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141819 142668 142800 "ASP31" 142932 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141548 141767 141806 "ASP30" 141811 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141265 141352 141428 "ASP29" 141503 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140994 141213 141252 "ASP28" 141257 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140723 140942 140981 "ASP27" 140986 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139699 140421 140532 "ASP24" 140643 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138668 139501 139613 "ASP20" 139618 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137503 138342 138461 "ASP19" 138580 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-63 137222 137307 137383 "ASP12" 137458 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-62 135966 136821 136965 "ASP10" 137109 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-61 134946 135667 135777 "ASP1" 135887 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-60 132558 134790 134881 "ARRAY2" 134886 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 131572 131763 131984 "ARRAY12" 132381 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-58 126932 131220 131334 "ARRAY1" 131489 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-57 120977 123134 123209 "ARR2CAT" 125839 NIL ARR2CAT (NIL T T T) -9 NIL 126597 NIL) (-56 118267 119155 120109 "ARR2CAT-" 120114 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117518 117894 118019 "ARITY" 118160 T ARITY (NIL) -8 NIL NIL NIL) (-54 116276 116446 116745 "APPRULE" 117354 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115921 115975 116094 "APPLYORE" 116222 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115175 115322 115479 "ANY1" 115795 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-51 114475 114768 114888 "ANY" 115073 T ANY (NIL) -8 NIL NIL NIL) (-50 111801 112912 113239 "ANTISYM" 114199 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111245 111508 111604 "ANON" 111723 T ANON (NIL) -8 NIL NIL NIL) (-48 104401 109784 110238 "AN" 110809 T AN (NIL) -8 NIL NIL NIL) (-47 100057 101673 101724 "AMR" 102472 NIL AMR (NIL T T) -9 NIL 103072 NIL) (-46 99109 99390 99753 "AMR-" 99758 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82578 99026 99087 "ALIST" 99092 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78875 82172 82341 "ALGSC" 82496 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75325 75985 76592 "ALGPKG" 78315 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74590 74703 74887 "ALGMFACT" 75211 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70573 71204 71798 "ALGMANIP" 74174 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59912 70199 70349 "ALGFF" 70506 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59084 59239 59418 "ALGFACT" 59770 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57873 58611 58649 "ALGEBRA" 58654 NIL ALGEBRA (NIL T) -9 NIL 58695 NIL) (-37 57573 57650 57782 "ALGEBRA-" 57787 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38527 55410 55462 "ALAGG" 55598 NIL ALAGG (NIL T T) -9 NIL 55759 NIL) (-35 38027 38176 38202 "AHYP" 38403 T AHYP (NIL) -9 NIL NIL NIL) (-34 36912 37206 37232 "AGG" 37731 T AGG (NIL) -9 NIL 38010 NIL) (-33 36310 36508 36722 "AGG-" 36727 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34070 34539 34944 "AF" 35952 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33490 33795 33885 "ADDAST" 33998 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32722 33017 33173 "ACPLOT" 33352 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20273 29654 29692 "ACFS" 30299 NIL ACFS (NIL T) -9 NIL 30538 NIL) (-28 18180 18790 19552 "ACFS-" 19557 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13882 16213 16239 "ACF" 17118 T ACF (NIL) -9 NIL 17531 NIL) (-26 12514 12920 13413 "ACF-" 13418 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12024 12267 12293 "ABELSG" 12385 T ABELSG (NIL) -9 NIL 12450 NIL) (-24 11885 11916 11982 "ABELSG-" 11987 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11154 11501 11527 "ABELMON" 11697 T ABELMON (NIL) -9 NIL 11809 NIL) (-22 10794 10902 11040 "ABELMON-" 11045 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10044 10500 10526 "ABELGRP" 10598 T ABELGRP (NIL) -9 NIL 10673 NIL) (-20 9471 9636 9852 "ABELGRP-" 9857 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8733 8772 "A1AGG" 8777 NIL A1AGG (NIL T) -9 NIL 8817 NIL) (-18 30 1497 3059 "A1AGG-" 3064 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3473118 3473123 3473128 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3473103 3473108 3473113 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3473088 3473093 3473098 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3473073 3473078 3473083 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1328 3472059 3472948 3473025 "ZMOD" 3473030 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1327 3471095 3471277 3471500 "ZLINDEP" 3471891 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1326 3460257 3462163 3464135 "ZDSOLVE" 3469225 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1325 3459491 3459644 3459833 "YSTREAM" 3460103 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1324 3458851 3459160 3459275 "YDIAGRAM" 3459398 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1323 3456299 3458152 3458356 "XRPOLY" 3458694 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1322 3452566 3454170 3454745 "XPR" 3455771 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1321 3449897 3451573 3451628 "XPOLYC" 3451916 NIL XPOLYC (NIL T T) -9 NIL 3452029 NIL) (-1320 3447292 3449228 3449432 "XPOLY" 3449728 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1319 3443238 3445809 3446197 "XPBWPOLY" 3446950 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1318 3438130 3439709 3439764 "XFALG" 3441936 NIL XFALG (NIL T T) -9 NIL 3442725 NIL) (-1317 3433399 3436106 3436148 "XF" 3436769 NIL XF (NIL T) -9 NIL 3437169 NIL) (-1316 3432996 3433108 3433277 "XF-" 3433282 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1315 3432111 3432233 3432438 "XEXPPKG" 3432888 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1314 3429852 3431961 3432057 "XDPOLY" 3432062 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1313 3428507 3429245 3429288 "XALG" 3429293 NIL XALG (NIL T) -9 NIL 3429404 NIL) (-1312 3421417 3426484 3426978 "WUTSET" 3428099 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1311 3419519 3420469 3420792 "WP" 3421228 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1310 3419067 3419341 3419411 "WHILEAST" 3419471 T WHILEAST (NIL) -8 NIL NIL NIL) (-1309 3418479 3418784 3418878 "WHEREAST" 3418995 T WHEREAST (NIL) -8 NIL NIL NIL) (-1308 3417353 3417563 3417858 "WFFINTBS" 3418276 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1307 3415221 3415684 3416146 "WEIER" 3416925 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1306 3414145 3414703 3414745 "VSPACE" 3414881 NIL VSPACE (NIL T) -9 NIL 3414955 NIL) (-1305 3413977 3414010 3414101 "VSPACE-" 3414106 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1304 3413774 3413828 3413896 "VOID" 3413931 T VOID (NIL) -8 NIL NIL NIL) (-1303 3410042 3410837 3411574 "VIEWDEF" 3413059 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1302 3398986 3401590 3403763 "VIEW3D" 3407891 T VIEW3D (NIL) -8 NIL NIL NIL) (-1301 3391003 3392897 3394476 "VIEW2D" 3397429 T VIEW2D (NIL) -8 NIL NIL NIL) (-1300 3389103 3389498 3389904 "VIEW" 3390619 T VIEW (NIL) -7 NIL NIL NIL) (-1299 3387656 3387939 3388257 "VECTOR2" 3388833 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1298 3382562 3387426 3387518 "VECTOR" 3387599 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1297 3375507 3380266 3380309 "VECTCAT" 3381304 NIL VECTCAT (NIL T) -9 NIL 3381891 NIL) (-1296 3374449 3374775 3375165 "VECTCAT-" 3375170 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1295 3373855 3374100 3374220 "VARIABLE" 3374364 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1294 3373788 3373793 3373823 "UTYPE" 3373828 T UTYPE (NIL) -9 NIL NIL NIL) (-1293 3372596 3372772 3373034 "UTSODETL" 3373614 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1292 3369988 3370496 3371020 "UTSODE" 3372137 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1291 3359991 3365921 3365964 "UTSCAT" 3367076 NIL UTSCAT (NIL T) -9 NIL 3367834 NIL) (-1290 3357117 3358061 3359050 "UTSCAT-" 3359055 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1289 3356738 3356787 3356920 "UTS2" 3357068 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1288 3348048 3354499 3354979 "UTS" 3356316 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1287 3341915 3344858 3344901 "URAGG" 3346971 NIL URAGG (NIL T) -9 NIL 3347694 NIL) (-1286 3338638 3339717 3340840 "URAGG-" 3340845 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1285 3334007 3337273 3337738 "UPXSSING" 3338302 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1284 3326429 3333911 3333983 "UPXSCONS" 3333988 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1283 3315180 3322631 3322693 "UPXSCCA" 3323267 NIL UPXSCCA (NIL T T) -9 NIL 3323500 NIL) (-1282 3314800 3314903 3315077 "UPXSCCA-" 3315082 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1281 3303451 3310627 3310670 "UPXSCAT" 3311318 NIL UPXSCAT (NIL T) -9 NIL 3311927 NIL) (-1280 3302875 3302960 3303139 "UPXS2" 3303366 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1279 3294360 3302257 3302521 "UPXS" 3302669 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1278 3292996 3293267 3293618 "UPSQFREE" 3294103 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1277 3285820 3289262 3289317 "UPSCAT" 3290397 NIL UPSCAT (NIL T T) -9 NIL 3291163 NIL) (-1276 3284976 3285231 3285558 "UPSCAT-" 3285563 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1275 3284597 3284646 3284779 "UPOLYC2" 3284927 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1274 3268731 3277724 3277767 "UPOLYC" 3279868 NIL UPOLYC (NIL T) -9 NIL 3281089 NIL) (-1273 3259579 3262485 3265632 "UPOLYC-" 3265637 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1272 3258900 3259025 3259189 "UPMP" 3259468 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1271 3258447 3258534 3258673 "UPDIVP" 3258813 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1270 3256985 3257264 3257580 "UPDECOMP" 3258196 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1269 3256198 3256328 3256514 "UPCDEN" 3256869 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1268 3255711 3255786 3255935 "UP2" 3256123 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1267 3246293 3255394 3255523 "UP" 3255630 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1266 3245498 3245635 3245840 "UNISEG2" 3246136 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1265 3243851 3244702 3244979 "UNISEG" 3245256 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1264 3242893 3243091 3243317 "UNIFACT" 3243667 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1263 3229610 3242797 3242869 "ULSCONS" 3242874 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1262 3209413 3222690 3222752 "ULSCCAT" 3223390 NIL ULSCCAT (NIL T T) -9 NIL 3223679 NIL) (-1261 3208409 3208708 3209096 "ULSCCAT-" 3209101 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1260 3196857 3203955 3203998 "ULSCAT" 3204861 NIL ULSCAT (NIL T) -9 NIL 3205592 NIL) (-1259 3196281 3196366 3196545 "ULS2" 3196772 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1258 3178098 3195593 3195835 "ULS" 3196097 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1257 3177017 3177717 3177831 "UINT8" 3177942 T UINT8 (NIL) -8 NIL NIL 3178034) (-1256 3175935 3176635 3176749 "UINT64" 3176860 T UINT64 (NIL) -8 NIL NIL 3176952) (-1255 3174853 3175553 3175667 "UINT32" 3175778 T UINT32 (NIL) -8 NIL NIL 3175870) (-1254 3173771 3174471 3174585 "UINT16" 3174696 T UINT16 (NIL) -8 NIL NIL 3174788) (-1253 3171850 3173017 3173047 "UFD" 3173259 T UFD (NIL) -9 NIL 3173373 NIL) (-1252 3171632 3171690 3171785 "UFD-" 3171790 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1251 3170690 3170897 3171113 "UDVO" 3171438 T UDVO (NIL) -7 NIL NIL NIL) (-1250 3168456 3168915 3169386 "UDPO" 3170254 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1249 3168168 3168411 3168442 "TYPEAST" 3168447 T TYPEAST (NIL) -8 NIL NIL NIL) (-1248 3168101 3168106 3168136 "TYPE" 3168141 T TYPE (NIL) -9 NIL NIL NIL) (-1247 3167054 3167274 3167514 "TWOFACT" 3167895 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1246 3166029 3166463 3166698 "TUPLE" 3166854 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1245 3163666 3164239 3164778 "TUBETOOL" 3165512 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1244 3162472 3162713 3162955 "TUBE" 3163459 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1243 3150607 3155229 3155326 "TSETCAT" 3160595 NIL TSETCAT (NIL T T T T) -9 NIL 3162127 NIL) (-1242 3145075 3146939 3148830 "TSETCAT-" 3148835 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1241 3139254 3144047 3144330 "TS" 3144827 NIL TS (NIL T) -8 NIL NIL NIL) (-1240 3133727 3134740 3135669 "TRMANIP" 3138390 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1239 3133156 3133231 3133394 "TRIMAT" 3133659 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1238 3130968 3131259 3131616 "TRIGMNIP" 3132905 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1237 3130452 3130601 3130631 "TRIGCAT" 3130844 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1236 3130097 3130200 3130341 "TRIGCAT-" 3130346 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1235 3126711 3128955 3129236 "TREE" 3129851 NIL TREE (NIL T) -8 NIL NIL NIL) (-1234 3125817 3126513 3126543 "TRANFUN" 3126578 T TRANFUN (NIL) -9 NIL 3126644 NIL) (-1233 3125036 3125287 3125567 "TRANFUN-" 3125572 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1232 3124834 3124872 3124933 "TOPSP" 3124997 T TOPSP (NIL) -7 NIL NIL NIL) (-1231 3124164 3124297 3124451 "TOOLSIGN" 3124715 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1230 3122678 3123341 3123580 "TEXTFILE" 3123947 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1229 3122453 3122490 3122562 "TEX1" 3122641 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1228 3120257 3120906 3121335 "TEX" 3122046 T TEX (NIL) -8 NIL NIL NIL) (-1227 3119893 3119968 3120058 "TEMUTL" 3120189 T TEMUTL (NIL) -7 NIL NIL NIL) (-1226 3117987 3118327 3118652 "TBCMPPK" 3119616 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1225 3109307 3116073 3116129 "TBAGG" 3116529 NIL TBAGG (NIL T T) -9 NIL 3116740 NIL) (-1224 3104191 3105865 3107619 "TBAGG-" 3107624 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1223 3103557 3103682 3103827 "TANEXP" 3104080 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1222 3103008 3103332 3103422 "TALGOP" 3103502 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1221 3102402 3102519 3102657 "TABLEAU" 3102905 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1220 3095416 3102259 3102352 "TABLE" 3102357 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1219 3089946 3091244 3092492 "TABLBUMP" 3094202 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1218 3089156 3089315 3089496 "SYSTEM" 3089787 T SYSTEM (NIL) -8 NIL NIL NIL) (-1217 3085561 3086314 3087097 "SYSSOLP" 3088407 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1216 3085323 3085516 3085547 "SYSPTR" 3085552 T SYSPTR (NIL) -8 NIL NIL NIL) (-1215 3084162 3084854 3084980 "SYSNNI" 3085166 NIL SYSNNI (NIL NIL) -8 NIL NIL 3085258) (-1214 3083369 3083924 3084003 "SYSINT" 3084063 NIL SYSINT (NIL NIL) -8 NIL NIL 3084108) (-1213 3079467 3080647 3081357 "SYNTAX" 3082681 T SYNTAX (NIL) -8 NIL NIL NIL) (-1212 3076547 3077227 3077859 "SYMTAB" 3078857 T SYMTAB (NIL) -8 NIL NIL NIL) (-1211 3071646 3072698 3073681 "SYMS" 3075586 T SYMS (NIL) -8 NIL NIL NIL) (-1210 3068545 3071097 3071330 "SYMPOLY" 3071448 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1209 3068050 3068137 3068260 "SYMFUNC" 3068457 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1208 3063848 3065362 3066175 "SYMBOL" 3067259 T SYMBOL (NIL) -8 NIL NIL NIL) (-1207 3057321 3059076 3060796 "SWITCH" 3062150 T SWITCH (NIL) -8 NIL NIL NIL) (-1206 3050075 3056277 3056571 "SUTS" 3057085 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1205 3041560 3049457 3049721 "SUPXS" 3049869 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1204 3040707 3040846 3041063 "SUPFRACF" 3041428 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1203 3040322 3040387 3040500 "SUP2" 3040642 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1202 3030852 3039940 3040066 "SUP" 3040231 NIL SUP (NIL T) -8 NIL NIL NIL) (-1201 3029276 3029574 3029930 "SUMRF" 3030551 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1200 3028599 3028677 3028869 "SUMFS" 3029197 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1199 3010451 3027911 3028153 "SULS" 3028415 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1198 3009999 3010273 3010343 "SUCHTAST" 3010403 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1197 3009240 3009524 3009664 "SUCH" 3009907 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1196 3002879 3004146 3005105 "SUBSPACE" 3008328 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1195 3002299 3002399 3002563 "SUBRESP" 3002767 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1194 2996310 2997592 2998739 "STTFNC" 3001199 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1193 2989504 2990975 2992286 "STTF" 2995046 NIL STTF (NIL T) -7 NIL NIL NIL) (-1192 2980621 2982686 2984480 "STTAYLOR" 2987745 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1191 2973375 2980485 2980568 "STRTBL" 2980573 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1190 2967772 2973084 2973183 "STRING" 2973298 T STRING (NIL) -8 NIL NIL NIL) (-1189 2967276 2967359 2967503 "STREAM3" 2967689 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1188 2966240 2966441 2966676 "STREAM2" 2967089 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1187 2965922 2965980 2966073 "STREAM1" 2966182 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1186 2958036 2963541 2964152 "STREAM" 2965346 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1185 2957028 2957233 2957464 "STINPROD" 2957852 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1184 2956143 2956517 2956665 "STEPAST" 2956902 T STEPAST (NIL) -8 NIL NIL NIL) (-1183 2955639 2955891 2955921 "STEP" 2956001 T STEP (NIL) -9 NIL 2956079 NIL) (-1182 2948695 2955538 2955615 "STBL" 2955620 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1181 2943245 2947858 2947901 "STAGG" 2948054 NIL STAGG (NIL T) -9 NIL 2948143 NIL) (-1180 2940797 2941549 2942421 "STAGG-" 2942426 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1179 2938769 2940567 2940659 "STACK" 2940740 NIL STACK (NIL T) -8 NIL NIL NIL) (-1178 2938086 2938599 2938629 "SRING" 2938634 T SRING (NIL) -9 NIL 2938654 NIL) (-1177 2930093 2936227 2936683 "SREGSET" 2937716 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1176 2922440 2923887 2925400 "SRDCMPK" 2928699 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1175 2914740 2919799 2919829 "SRAGG" 2921132 T SRAGG (NIL) -9 NIL 2921740 NIL) (-1174 2913691 2914012 2914391 "SRAGG-" 2914396 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1173 2907275 2912638 2913059 "SQMATRIX" 2913317 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1172 2900687 2903993 2904720 "SPLTREE" 2906620 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1171 2896512 2897343 2897989 "SPLNODE" 2900113 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1170 2895487 2895792 2895822 "SPFCAT" 2896266 T SPFCAT (NIL) -9 NIL NIL NIL) (-1169 2894182 2894434 2894698 "SPECOUT" 2895245 T SPECOUT (NIL) -7 NIL NIL NIL) (-1168 2884828 2887146 2887176 "SPADXPT" 2891854 T SPADXPT (NIL) -9 NIL 2894020 NIL) (-1167 2884583 2884629 2884698 "SPADPRSR" 2884781 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1166 2882186 2884538 2884569 "SPADAST" 2884574 T SPADAST (NIL) -8 NIL NIL NIL) (-1165 2873787 2875890 2875933 "SPACEC" 2880306 NIL SPACEC (NIL T) -9 NIL 2882122 NIL) (-1164 2871587 2873719 2873768 "SPACE3" 2873773 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1163 2870319 2870510 2870801 "SORTPAK" 2871392 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1162 2868381 2868714 2869126 "SOLVETRA" 2869983 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1161 2867419 2867653 2867914 "SOLVESER" 2868154 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1160 2862651 2863611 2864606 "SOLVERAD" 2866471 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1159 2858376 2859075 2859804 "SOLVEFOR" 2862018 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1158 2851980 2857724 2857821 "SNTSCAT" 2857826 NIL SNTSCAT (NIL T T T T) -9 NIL 2857896 NIL) (-1157 2845524 2850303 2850694 "SMTS" 2851670 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1156 2839239 2845412 2845489 "SMP" 2845494 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1155 2837368 2837699 2838097 "SMITH" 2838936 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1154 2828893 2833947 2834050 "SMATCAT" 2835401 NIL SMATCAT (NIL NIL T T T) -9 NIL 2835951 NIL) (-1153 2825665 2826656 2827834 "SMATCAT-" 2827839 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1152 2823134 2824873 2824916 "SKAGG" 2825177 NIL SKAGG (NIL T) -9 NIL 2825312 NIL) (-1151 2818645 2822617 2822794 "SINT" 2822946 T SINT (NIL) -8 NIL NIL 2823101) (-1150 2818411 2818455 2818521 "SIMPAN" 2818601 T SIMPAN (NIL) -7 NIL NIL NIL) (-1149 2817231 2817470 2817745 "SIGNRF" 2818170 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1148 2816046 2816215 2816499 "SIGNEF" 2817060 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1147 2815286 2815629 2815753 "SIGAST" 2815944 T SIGAST (NIL) -8 NIL NIL NIL) (-1146 2814511 2814821 2814961 "SIG" 2815168 T SIG (NIL) -8 NIL NIL NIL) (-1145 2812163 2812655 2813161 "SHP" 2814052 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1144 2805536 2812064 2812140 "SHDP" 2812145 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1143 2805047 2805287 2805317 "SGROUP" 2805410 T SGROUP (NIL) -9 NIL 2805472 NIL) (-1142 2804899 2804931 2805004 "SGROUP-" 2805009 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1141 2801618 2802388 2803111 "SGCF" 2804198 T SGCF (NIL) -7 NIL NIL NIL) (-1140 2795320 2801064 2801161 "SFRTCAT" 2801166 NIL SFRTCAT (NIL T T T T) -9 NIL 2801205 NIL) (-1139 2788639 2789759 2790895 "SFRGCD" 2794303 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1138 2781657 2782838 2784024 "SFQCMPK" 2787572 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1137 2781259 2781366 2781477 "SFORT" 2781598 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1136 2780185 2781099 2781220 "SEXOF" 2781225 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1135 2775774 2776681 2776776 "SEXCAT" 2779398 NIL SEXCAT (NIL T T T T T) -9 NIL 2779958 NIL) (-1134 2774689 2775655 2775723 "SEX" 2775728 T SEX (NIL) -8 NIL NIL NIL) (-1133 2772811 2773402 2773707 "SETMN" 2774430 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1132 2772341 2772529 2772559 "SETCAT" 2772676 T SETCAT (NIL) -9 NIL 2772761 NIL) (-1131 2772109 2772173 2772272 "SETCAT-" 2772277 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1130 2768212 2770570 2770613 "SETAGG" 2771483 NIL SETAGG (NIL T) -9 NIL 2771823 NIL) (-1129 2767634 2767786 2768023 "SETAGG-" 2768028 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1128 2764443 2767568 2767616 "SET" 2767621 NIL SET (NIL T) -8 NIL NIL NIL) (-1127 2763826 2764139 2764240 "SEQAST" 2764364 T SEQAST (NIL) -8 NIL NIL NIL) (-1126 2762953 2763319 2763380 "SEGXCAT" 2763666 NIL SEGXCAT (NIL T T) -9 NIL 2763786 NIL) (-1125 2761878 2762146 2762189 "SEGCAT" 2762711 NIL SEGCAT (NIL T) -9 NIL 2762932 NIL) (-1124 2761493 2761558 2761671 "SEGBIND2" 2761813 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1123 2760383 2760856 2761064 "SEGBIND" 2761320 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1122 2759902 2760184 2760261 "SEGAST" 2760328 T SEGAST (NIL) -8 NIL NIL NIL) (-1121 2759111 2759247 2759451 "SEG2" 2759746 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1120 2758027 2758777 2758959 "SEG" 2758964 NIL SEG (NIL T) -8 NIL NIL NIL) (-1119 2757260 2757962 2758009 "SDVAR" 2758014 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1118 2748611 2757030 2757160 "SDPOL" 2757165 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1117 2747180 2747470 2747789 "SCPKG" 2748326 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1116 2746302 2746516 2746708 "SCOPE" 2747010 T SCOPE (NIL) -8 NIL NIL NIL) (-1115 2745498 2745656 2745835 "SCACHE" 2746157 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1114 2745082 2745316 2745346 "SASTCAT" 2745351 T SASTCAT (NIL) -9 NIL 2745364 NIL) (-1113 2744485 2744917 2744993 "SAOS" 2745028 T SAOS (NIL) -8 NIL NIL NIL) (-1112 2744044 2744085 2744258 "SAERFFC" 2744444 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1111 2743631 2743672 2743831 "SAEFACT" 2744003 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1110 2736665 2743528 2743608 "SAE" 2743613 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1109 2734968 2735300 2735701 "RURPK" 2736331 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1108 2733545 2733911 2734216 "RULESET" 2734802 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1107 2733115 2733339 2733422 "RULECOLD" 2733497 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1106 2730230 2730868 2731326 "RULE" 2732796 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1105 2730014 2730048 2730119 "RTVALUE" 2730181 T RTVALUE (NIL) -8 NIL NIL NIL) (-1104 2729425 2729731 2729825 "RSTRCAST" 2729942 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1103 2724195 2725068 2725988 "RSETGCD" 2728624 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1102 2712759 2718503 2718600 "RSETCAT" 2722719 NIL RSETCAT (NIL T T T T) -9 NIL 2723816 NIL) (-1101 2710578 2711225 2712049 "RSETCAT-" 2712054 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1100 2702886 2704340 2705860 "RSDCMPK" 2709177 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1099 2700755 2701318 2701392 "RRCC" 2702478 NIL RRCC (NIL T T) -9 NIL 2702822 NIL) (-1098 2700076 2700280 2700559 "RRCC-" 2700564 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1097 2699459 2699772 2699873 "RPTAST" 2699997 T RPTAST (NIL) -8 NIL NIL NIL) (-1096 2671838 2682571 2682638 "RPOLCAT" 2693304 NIL RPOLCAT (NIL T T T) -9 NIL 2696464 NIL) (-1095 2662808 2665676 2668798 "RPOLCAT-" 2668803 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1094 2653261 2661019 2661501 "ROUTINE" 2662348 T ROUTINE (NIL) -8 NIL NIL NIL) (-1093 2649317 2652887 2653027 "ROMAN" 2653143 T ROMAN (NIL) -8 NIL NIL NIL) (-1092 2647429 2648177 2648437 "ROIRC" 2649122 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1091 2643149 2645918 2645948 "RNS" 2646252 T RNS (NIL) -9 NIL 2646526 NIL) (-1090 2641556 2642041 2642575 "RNS-" 2642650 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1089 2640517 2640921 2641123 "RNGBIND" 2641407 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1088 2639810 2640314 2640344 "RNG" 2640349 T RNG (NIL) -9 NIL 2640370 NIL) (-1087 2639105 2639583 2639626 "RMODULE" 2639631 NIL RMODULE (NIL T) -9 NIL 2639658 NIL) (-1086 2637929 2638035 2638371 "RMCAT2" 2639006 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1085 2634431 2637275 2637572 "RMATRIX" 2637691 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1084 2626930 2629518 2629633 "RMATCAT" 2632992 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2633974 NIL) (-1083 2626269 2626452 2626759 "RMATCAT-" 2626764 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1082 2625842 2626056 2626099 "RLINSET" 2626161 NIL RLINSET (NIL T) -9 NIL 2626205 NIL) (-1081 2625403 2625484 2625612 "RINTERP" 2625761 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1080 2624327 2625001 2625031 "RING" 2625087 T RING (NIL) -9 NIL 2625179 NIL) (-1079 2624107 2624163 2624260 "RING-" 2624265 NIL RING- (NIL T) -8 NIL NIL NIL) (-1078 2622918 2623185 2623443 "RIDIST" 2623871 T RIDIST (NIL) -7 NIL NIL NIL) (-1077 2613543 2622386 2622592 "RGCHAIN" 2622766 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1076 2612801 2613285 2613326 "RGBCSPC" 2613384 NIL RGBCSPC (NIL T) -9 NIL 2613436 NIL) (-1075 2611867 2612326 2612367 "RGBCMDL" 2612599 NIL RGBCMDL (NIL T) -9 NIL 2612713 NIL) (-1074 2611507 2611576 2611679 "RFFACTOR" 2611798 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1073 2611226 2611267 2611364 "RFFACT" 2611466 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1072 2609277 2609707 2610089 "RFDIST" 2610866 T RFDIST (NIL) -7 NIL NIL NIL) (-1071 2606217 2606885 2607555 "RF" 2608641 NIL RF (NIL T) -7 NIL NIL NIL) (-1070 2605664 2605762 2605925 "RETSOL" 2606119 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1069 2605282 2605380 2605423 "RETRACT" 2605556 NIL RETRACT (NIL T) -9 NIL 2605643 NIL) (-1068 2605125 2605156 2605243 "RETRACT-" 2605248 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1067 2604673 2604947 2605017 "RETAST" 2605077 T RETAST (NIL) -8 NIL NIL NIL) (-1066 2597023 2604326 2604453 "RESULT" 2604568 T RESULT (NIL) -8 NIL NIL NIL) (-1065 2595458 2596292 2596491 "RESRING" 2596926 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1064 2595082 2595143 2595241 "RESLATC" 2595395 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1063 2594781 2594822 2594929 "REPSQ" 2595041 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1062 2594472 2594513 2594624 "REPDB" 2594740 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1061 2588304 2589761 2590984 "REP2" 2593284 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1060 2584607 2585362 2586170 "REP1" 2587531 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1059 2581987 2582609 2583211 "REP" 2584027 T REP (NIL) -7 NIL NIL NIL) (-1058 2573995 2580128 2580584 "REGSET" 2581617 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1057 2572704 2573143 2573393 "REF" 2573780 NIL REF (NIL T) -8 NIL NIL NIL) (-1056 2572069 2572184 2572351 "REDORDER" 2572588 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1055 2567440 2571282 2571509 "RECLOS" 2571897 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1054 2566474 2566673 2566888 "REALSOLV" 2567247 T REALSOLV (NIL) -7 NIL NIL NIL) (-1053 2562921 2563759 2564643 "REAL0Q" 2565639 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1052 2558474 2559510 2560571 "REAL0" 2561902 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1051 2558308 2558361 2558391 "REAL" 2558396 T REAL (NIL) -9 NIL 2558431 NIL) (-1050 2557719 2558025 2558119 "RDUCEAST" 2558236 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1049 2557118 2557196 2557403 "RDIV" 2557641 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1048 2556168 2556360 2556573 "RDIST" 2556940 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1047 2554753 2555052 2555424 "RDETRS" 2555876 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1046 2552547 2553019 2553557 "RDETR" 2554295 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1045 2551166 2551450 2551847 "RDEEFS" 2552263 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1044 2549669 2549981 2550406 "RDEEF" 2550854 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1043 2543148 2546623 2546653 "RCFIELD" 2547948 T RCFIELD (NIL) -9 NIL 2548679 NIL) (-1042 2541104 2541716 2542412 "RCFIELD-" 2542487 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1041 2537156 2539177 2539220 "RCAGG" 2540304 NIL RCAGG (NIL T) -9 NIL 2540769 NIL) (-1040 2536766 2536878 2537041 "RCAGG-" 2537046 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1039 2536083 2536213 2536378 "RATRET" 2536650 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1038 2535624 2535703 2535824 "RATFACT" 2536011 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1037 2534902 2535052 2535204 "RANDSRC" 2535494 T RANDSRC (NIL) -7 NIL NIL NIL) (-1036 2534630 2534680 2534753 "RADUTIL" 2534851 T RADUTIL (NIL) -7 NIL NIL NIL) (-1035 2526761 2533461 2533772 "RADIX" 2534353 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1034 2516362 2526603 2526733 "RADFF" 2526738 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1033 2515991 2516084 2516114 "RADCAT" 2516274 T RADCAT (NIL) -9 NIL NIL NIL) (-1032 2515761 2515821 2515921 "RADCAT-" 2515926 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1031 2513672 2515531 2515623 "QUEUE" 2515704 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1030 2513297 2513346 2513477 "QUATCT2" 2513623 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1029 2505668 2509720 2509762 "QUATCAT" 2510553 NIL QUATCAT (NIL T) -9 NIL 2511319 NIL) (-1028 2501549 2502844 2504234 "QUATCAT-" 2504330 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1027 2497388 2501482 2501530 "QUAT" 2501535 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1026 2494644 2496436 2496479 "QUAGG" 2496860 NIL QUAGG (NIL T) -9 NIL 2497035 NIL) (-1025 2494192 2494466 2494536 "QQUTAST" 2494596 T QQUTAST (NIL) -8 NIL NIL NIL) (-1024 2493103 2493705 2493870 "QFORM" 2494073 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1023 2492728 2492777 2492908 "QFCAT2" 2493054 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1022 2482411 2488575 2488617 "QFCAT" 2489285 NIL QFCAT (NIL T) -9 NIL 2490286 NIL) (-1021 2477726 2479179 2480773 "QFCAT-" 2480869 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1020 2477157 2477291 2477423 "QEQUAT" 2477616 T QEQUAT (NIL) -8 NIL NIL NIL) (-1019 2470175 2471356 2472542 "QCMPACK" 2476090 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1018 2469404 2469586 2469822 "QALGSET2" 2469993 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1017 2466854 2467390 2467820 "QALGSET" 2469059 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1016 2465521 2465763 2466082 "PWFFINTB" 2466627 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1015 2463666 2463864 2464220 "PUSHVAR" 2465335 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1014 2459393 2460609 2460652 "PTRANFN" 2462563 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1013 2457730 2458075 2458399 "PTPACK" 2459104 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1012 2457353 2457416 2457527 "PTFUNC2" 2457667 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1011 2451269 2456142 2456185 "PTCAT" 2456485 NIL PTCAT (NIL T) -9 NIL 2456638 NIL) (-1010 2450918 2450959 2451085 "PSQFR" 2451228 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1009 2449490 2449806 2450142 "PSEUDLIN" 2450616 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1008 2436010 2438585 2440911 "PSETPK" 2447250 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1007 2428718 2431746 2431844 "PSETCAT" 2434885 NIL PSETCAT (NIL T T T T) -9 NIL 2435699 NIL) (-1006 2426443 2427185 2428009 "PSETCAT-" 2428014 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1005 2425756 2425951 2425981 "PSCURVE" 2426253 T PSCURVE (NIL) -9 NIL 2426420 NIL) (-1004 2421472 2423246 2423313 "PSCAT" 2424165 NIL PSCAT (NIL T T T) -9 NIL 2424405 NIL) (-1003 2420466 2420748 2421151 "PSCAT-" 2421156 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-1002 2418665 2419525 2419790 "PRTITION" 2420223 T PRTITION (NIL) -8 NIL NIL NIL) (-1001 2418076 2418382 2418476 "PRTDAST" 2418593 T PRTDAST (NIL) -8 NIL NIL NIL) (-1000 2406920 2409342 2411532 "PRS" 2415938 NIL PRS (NIL T T) -7 NIL NIL NIL) (-999 2404540 2406242 2406282 "PRQAGG" 2406465 NIL PRQAGG (NIL T) -9 NIL 2406567 NIL) (-998 2403719 2404168 2404196 "PROPLOG" 2404335 T PROPLOG (NIL) -9 NIL 2404450 NIL) (-997 2403317 2403380 2403503 "PROPFUN2" 2403642 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-996 2402614 2402753 2402925 "PROPFUN1" 2403178 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-995 2400595 2401361 2401658 "PROPFRML" 2402350 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-994 2400040 2400171 2400299 "PROPERTY" 2400487 T PROPERTY (NIL) -8 NIL NIL NIL) (-993 2393928 2398206 2399026 "PRODUCT" 2399266 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-992 2393718 2393756 2393815 "PRINT" 2393889 T PRINT (NIL) -7 NIL NIL NIL) (-991 2393034 2393175 2393327 "PRIMES" 2393598 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-990 2391081 2391500 2391966 "PRIMELT" 2392613 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-989 2390798 2390859 2390887 "PRIMCAT" 2391011 T PRIMCAT (NIL) -9 NIL NIL NIL) (-988 2389787 2389983 2390211 "PRIMARR2" 2390616 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-987 2385509 2389725 2389770 "PRIMARR" 2389775 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-986 2385146 2385208 2385319 "PREASSOC" 2385447 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-985 2382104 2384604 2384838 "PR" 2384957 NIL PR (NIL T T) -8 NIL NIL NIL) (-984 2381555 2381712 2381740 "PPCURVE" 2381945 T PPCURVE (NIL) -9 NIL 2382081 NIL) (-983 2381102 2381350 2381433 "PORTNUM" 2381492 T PORTNUM (NIL) -8 NIL NIL NIL) (-982 2378439 2378860 2379452 "POLYROOT" 2380683 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-981 2377816 2377880 2378114 "POLYLIFT" 2378375 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-980 2374037 2374540 2375169 "POLYCATQ" 2377361 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-979 2359678 2365784 2365849 "POLYCAT" 2369363 NIL POLYCAT (NIL T T T) -9 NIL 2371241 NIL) (-978 2352797 2354989 2357373 "POLYCAT-" 2357378 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-977 2352378 2352452 2352572 "POLY2UP" 2352723 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-976 2352004 2352067 2352176 "POLY2" 2352315 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-975 2345212 2351608 2351768 "POLY" 2351877 NIL POLY (NIL T) -8 NIL NIL NIL) (-974 2343873 2344136 2344412 "POLUTIL" 2344986 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-973 2342192 2342505 2342836 "POLTOPOL" 2343595 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-972 2337188 2342126 2342173 "POINT" 2342178 NIL POINT (NIL T) -8 NIL NIL NIL) (-971 2335321 2335732 2336107 "PNTHEORY" 2336833 T PNTHEORY (NIL) -7 NIL NIL NIL) (-970 2333767 2334076 2334475 "PMTOOLS" 2335019 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-969 2333354 2333438 2333555 "PMSYM" 2333683 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-968 2332856 2332931 2333106 "PMQFCAT" 2333279 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-967 2332237 2332335 2332497 "PMPREDFS" 2332757 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-966 2331580 2331702 2331858 "PMPRED" 2332114 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-965 2330234 2330452 2330830 "PMPLCAT" 2331342 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-964 2329760 2329845 2329997 "PMLSAGG" 2330149 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-963 2329227 2329309 2329491 "PMKERNEL" 2329678 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-962 2328838 2328919 2329032 "PMINS" 2329146 NIL PMINS (NIL T) -7 NIL NIL NIL) (-961 2328274 2328349 2328558 "PMFS" 2328763 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-960 2327490 2327620 2327825 "PMDOWN" 2328151 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-959 2326739 2326873 2327036 "PMASSFS" 2327377 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-958 2325882 2326064 2326245 "PMASS" 2326578 T PMASS (NIL) -7 NIL NIL NIL) (-957 2325531 2325605 2325699 "PLOTTOOL" 2325808 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-956 2321183 2322377 2323299 "PLOT3D" 2324629 T PLOT3D (NIL) -8 NIL NIL NIL) (-955 2320071 2320272 2320507 "PLOT1" 2320987 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-954 2314492 2315882 2317030 "PLOT" 2318943 T PLOT (NIL) -8 NIL NIL NIL) (-953 2289667 2294558 2299409 "PLEQN" 2309758 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-952 2289354 2289407 2289510 "PINTERPA" 2289614 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-951 2288660 2288794 2288974 "PINTERP" 2289219 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-950 2286744 2287910 2287938 "PID" 2288135 T PID (NIL) -9 NIL 2288262 NIL) (-949 2286489 2286532 2286607 "PICOERCE" 2286701 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-948 2285585 2286253 2286340 "PI" 2286380 T PI (NIL) -8 NIL NIL 2286447) (-947 2284893 2285044 2285220 "PGROEB" 2285441 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-946 2280332 2281291 2282197 "PGE" 2284007 T PGE (NIL) -7 NIL NIL NIL) (-945 2278413 2278702 2279068 "PGCD" 2280049 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-944 2277739 2277854 2278015 "PFRPAC" 2278297 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-943 2273997 2276287 2276640 "PFR" 2277418 NIL PFR (NIL T) -8 NIL NIL NIL) (-942 2272350 2272630 2272955 "PFOTOOLS" 2273744 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-941 2270865 2271122 2271473 "PFOQ" 2272107 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-940 2269348 2269578 2269934 "PFO" 2270649 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-939 2266426 2267939 2267967 "PFECAT" 2268552 T PFECAT (NIL) -9 NIL 2268936 NIL) (-938 2265853 2266025 2266239 "PFECAT-" 2266244 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-937 2264426 2264708 2265009 "PFBRU" 2265602 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-936 2262256 2262644 2263076 "PFBR" 2264077 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-935 2258188 2262145 2262214 "PF" 2262219 NIL PF (NIL NIL) -8 NIL NIL NIL) (-934 2253242 2254395 2255265 "PERMGRP" 2257351 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-933 2251154 2252266 2252307 "PERMCAT" 2252707 NIL PERMCAT (NIL T) -9 NIL 2253005 NIL) (-932 2250801 2250848 2250972 "PERMAN" 2251107 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-931 2246603 2248310 2248958 "PERM" 2250186 NIL PERM (NIL T) -8 NIL NIL NIL) (-930 2243844 2246268 2246390 "PENDTREE" 2246514 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-929 2242725 2242988 2243029 "PDSPC" 2243562 NIL PDSPC (NIL T) -9 NIL 2243807 NIL) (-928 2241780 2242046 2242408 "PDSPC-" 2242413 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-927 2240494 2241430 2241471 "PDRING" 2241476 NIL PDRING (NIL T) -9 NIL 2241504 NIL) (-926 2239237 2239999 2240053 "PDMOD" 2240058 NIL PDMOD (NIL T T) -9 NIL 2240162 NIL) (-925 2236404 2237230 2237898 "PDEPROB" 2238589 T PDEPROB (NIL) -8 NIL NIL NIL) (-924 2233913 2234453 2235008 "PDEPACK" 2235869 T PDEPACK (NIL) -7 NIL NIL NIL) (-923 2232801 2233015 2233266 "PDECOMP" 2233712 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-922 2230318 2231209 2231237 "PDECAT" 2232024 T PDECAT (NIL) -9 NIL 2232737 NIL) (-921 2229935 2230002 2230056 "PDDOM" 2230221 NIL PDDOM (NIL T T) -9 NIL 2230301 NIL) (-920 2229748 2229784 2229891 "PDDOM-" 2229896 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-919 2229493 2229532 2229622 "PCOMP" 2229709 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-918 2227533 2228294 2228591 "PBWLB" 2229222 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-917 2227159 2227222 2227331 "PATTERN2" 2227470 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-916 2224868 2225304 2225761 "PATTERN1" 2226748 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-915 2217047 2218941 2220279 "PATTERN" 2223551 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-914 2216605 2216678 2216810 "PATRES2" 2216974 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-913 2213871 2214554 2215035 "PATRES" 2216170 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-912 2211724 2212159 2212566 "PATMATCH" 2213538 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-911 2211178 2211429 2211470 "PATMAB" 2211577 NIL PATMAB (NIL T) -9 NIL 2211660 NIL) (-910 2209624 2210032 2210290 "PATLRES" 2210983 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-909 2209162 2209293 2209334 "PATAB" 2209339 NIL PATAB (NIL T) -9 NIL 2209511 NIL) (-908 2207302 2207739 2208162 "PARTPERM" 2208759 T PARTPERM (NIL) -7 NIL NIL NIL) (-907 2206911 2206986 2207088 "PARSURF" 2207233 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-906 2206537 2206600 2206709 "PARSU2" 2206848 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-905 2206295 2206341 2206408 "PARSER" 2206490 T PARSER (NIL) -7 NIL NIL NIL) (-904 2205904 2205979 2206081 "PARSCURV" 2206226 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-903 2205530 2205593 2205702 "PARSC2" 2205841 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-902 2205157 2205227 2205324 "PARPCURV" 2205466 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-901 2204783 2204846 2204955 "PARPC2" 2205094 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-900 2203772 2204156 2204338 "PARAMAST" 2204621 T PARAMAST (NIL) -8 NIL NIL NIL) (-899 2203280 2203378 2203497 "PAN2EXPR" 2203673 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-898 2201973 2202401 2202629 "PALETTE" 2203072 T PALETTE (NIL) -8 NIL NIL NIL) (-897 2200318 2200978 2201338 "PAIR" 2201659 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-896 2193237 2199575 2199770 "PADICRC" 2200172 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-895 2185480 2192581 2192766 "PADICRAT" 2193084 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-894 2182277 2184140 2184180 "PADICCT" 2184761 NIL PADICCT (NIL NIL) -9 NIL 2185043 NIL) (-893 2180293 2182214 2182259 "PADIC" 2182264 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-892 2179238 2179450 2179718 "PADEPAC" 2180080 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-891 2178438 2178583 2178789 "PADE" 2179100 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-890 2176671 2177646 2177926 "OWP" 2178242 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-889 2176116 2176377 2176474 "OVERSET" 2176594 T OVERSET (NIL) -8 NIL NIL NIL) (-888 2175036 2175721 2175893 "OVAR" 2175984 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-887 2163272 2166145 2168345 "OUTFORM" 2172856 T OUTFORM (NIL) -8 NIL NIL NIL) (-886 2162554 2162869 2162996 "OUTBFILE" 2163165 T OUTBFILE (NIL) -8 NIL NIL NIL) (-885 2161831 2162026 2162054 "OUTBCON" 2162372 T OUTBCON (NIL) -9 NIL 2162538 NIL) (-884 2161414 2161544 2161701 "OUTBCON-" 2161706 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-883 2160654 2160799 2160960 "OUT" 2161273 T OUT (NIL) -7 NIL NIL NIL) (-882 2159950 2160383 2160472 "OSI" 2160585 T OSI (NIL) -8 NIL NIL NIL) (-881 2159369 2159791 2159819 "OSGROUP" 2159824 T OSGROUP (NIL) -9 NIL 2159846 NIL) (-880 2158080 2158341 2158626 "ORTHPOL" 2159116 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-879 2155331 2157915 2158036 "OREUP" 2158041 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-878 2152434 2155022 2155149 "ORESUP" 2155273 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-877 2149934 2150462 2151023 "OREPCTO" 2151923 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-876 2143312 2145807 2145848 "OREPCAT" 2148196 NIL OREPCAT (NIL T) -9 NIL 2149300 NIL) (-875 2140285 2141241 2142299 "OREPCAT-" 2142304 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-874 2139477 2139755 2139783 "ORDTYPE" 2140092 T ORDTYPE (NIL) -9 NIL 2140255 NIL) (-873 2138778 2138994 2139249 "ORDTYPE-" 2139254 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-872 2138134 2138517 2138675 "ORDSTRCT" 2138680 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-871 2137632 2138002 2138030 "ORDSET" 2138035 T ORDSET (NIL) -9 NIL 2138057 NIL) (-870 2135990 2136961 2136989 "ORDRING" 2137191 T ORDRING (NIL) -9 NIL 2137316 NIL) (-869 2135611 2135729 2135873 "ORDRING-" 2135878 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-868 2134862 2135427 2135455 "ORDMON" 2135460 T ORDMON (NIL) -9 NIL 2135481 NIL) (-867 2134006 2134171 2134366 "ORDFUNS" 2134711 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-866 2133221 2133736 2133764 "ORDFIN" 2133829 T ORDFIN (NIL) -9 NIL 2133903 NIL) (-865 2132475 2132614 2132800 "ORDCOMP2" 2133081 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-864 2128822 2131061 2131470 "ORDCOMP" 2132099 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-863 2125343 2126313 2127127 "OPTPROB" 2128028 T OPTPROB (NIL) -8 NIL NIL NIL) (-862 2122085 2122784 2123488 "OPTPACK" 2124659 T OPTPACK (NIL) -7 NIL NIL NIL) (-861 2119698 2120524 2120552 "OPTCAT" 2121371 T OPTCAT (NIL) -9 NIL 2122021 NIL) (-860 2119016 2119375 2119480 "OPSIG" 2119613 T OPSIG (NIL) -8 NIL NIL NIL) (-859 2118778 2118823 2118889 "OPQUERY" 2118970 T OPQUERY (NIL) -7 NIL NIL NIL) (-858 2118084 2118364 2118405 "OPERCAT" 2118617 NIL OPERCAT (NIL T) -9 NIL 2118714 NIL) (-857 2117827 2117895 2118012 "OPERCAT-" 2118017 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-856 2114736 2116138 2116642 "OP" 2117356 NIL OP (NIL T) -8 NIL NIL NIL) (-855 2114029 2114156 2114330 "ONECOMP2" 2114608 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-854 2110642 2112826 2113195 "ONECOMP" 2113693 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-853 2110043 2110167 2110297 "OMSERVER" 2110532 T OMSERVER (NIL) -7 NIL NIL NIL) (-852 2106557 2109483 2109523 "OMSAGG" 2109584 NIL OMSAGG (NIL T) -9 NIL 2109648 NIL) (-851 2105132 2105443 2105725 "OMPKG" 2106295 T OMPKG (NIL) -7 NIL NIL NIL) (-850 2103479 2104681 2104850 "OMLO" 2105013 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-849 2102415 2102586 2102806 "OMEXPR" 2103305 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-848 2101500 2101836 2101996 "OMERRK" 2102275 T OMERRK (NIL) -8 NIL NIL NIL) (-847 2100737 2101046 2101182 "OMERR" 2101384 T OMERR (NIL) -8 NIL NIL NIL) (-846 2100128 2100414 2100522 "OMENC" 2100649 T OMENC (NIL) -8 NIL NIL NIL) (-845 2093765 2095208 2096379 "OMDEV" 2098977 T OMDEV (NIL) -8 NIL NIL NIL) (-844 2092798 2093005 2093199 "OMCONN" 2093591 T OMCONN (NIL) -8 NIL NIL NIL) (-843 2092204 2092331 2092359 "OM" 2092658 T OM (NIL) -9 NIL NIL NIL) (-842 2090482 2091674 2091702 "OINTDOM" 2091707 T OINTDOM (NIL) -9 NIL 2091728 NIL) (-841 2087557 2089170 2089507 "OFMONOID" 2090177 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-840 2086791 2087494 2087539 "ODVAR" 2087544 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-839 2083935 2086536 2086691 "ODR" 2086696 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-838 2075340 2083711 2083837 "ODPOL" 2083842 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-837 2068683 2075212 2075317 "ODP" 2075322 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-836 2067425 2067664 2067939 "ODETOOLS" 2068457 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-835 2064368 2065050 2065766 "ODESYS" 2066758 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-834 2059198 2060158 2061183 "ODERTRIC" 2063443 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-833 2058618 2058706 2058900 "ODERED" 2059110 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-832 2055470 2056054 2056731 "ODERAT" 2058041 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-831 2052386 2052894 2053491 "ODEPRRIC" 2054999 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-830 2050281 2050925 2051411 "ODEPROB" 2051920 T ODEPROB (NIL) -8 NIL NIL NIL) (-829 2046747 2047286 2047933 "ODEPRIM" 2049760 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-828 2045990 2046098 2046358 "ODEPAL" 2046639 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-827 2042092 2042943 2043807 "ODEPACK" 2045146 T ODEPACK (NIL) -7 NIL NIL NIL) (-826 2041135 2041260 2041482 "ODEINT" 2041981 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-825 2035200 2036661 2038108 "ODEIFTBL" 2039708 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-824 2030550 2031384 2032336 "ODEEF" 2034359 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-823 2029893 2029988 2030211 "ODECONST" 2030455 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-822 2027956 2028665 2028693 "ODECAT" 2029298 T ODECAT (NIL) -9 NIL 2029829 NIL) (-821 2027588 2027637 2027764 "OCTCT2" 2027907 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-820 2024081 2027293 2027415 "OCT" 2027498 NIL OCT (NIL T) -8 NIL NIL NIL) (-819 2023304 2023874 2023902 "OCAMON" 2023907 T OCAMON (NIL) -9 NIL 2023928 NIL) (-818 2017568 2020347 2020387 "OC" 2021484 NIL OC (NIL T) -9 NIL 2022342 NIL) (-817 2014603 2015543 2016533 "OC-" 2016627 NIL OC- (NIL T T) -8 NIL NIL NIL) (-816 2014023 2014448 2014476 "OASGP" 2014481 T OASGP (NIL) -9 NIL 2014501 NIL) (-815 2013149 2013746 2013774 "OAMONS" 2013814 T OAMONS (NIL) -9 NIL 2013857 NIL) (-814 2012440 2012969 2012997 "OAMON" 2013002 T OAMON (NIL) -9 NIL 2013022 NIL) (-813 2011551 2012189 2012217 "OAGROUP" 2012222 T OAGROUP (NIL) -9 NIL 2012242 NIL) (-812 2011233 2011289 2011378 "NUMTUBE" 2011495 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-811 2004752 2006324 2007860 "NUMQUAD" 2009717 T NUMQUAD (NIL) -7 NIL NIL NIL) (-810 2000432 2001466 2002501 "NUMODE" 2003737 T NUMODE (NIL) -7 NIL NIL NIL) (-809 1997713 1998653 1998681 "NUMINT" 1999604 T NUMINT (NIL) -9 NIL 2000368 NIL) (-808 1996625 1996858 1997076 "NUMFMT" 1997515 T NUMFMT (NIL) -7 NIL NIL NIL) (-807 1982808 1985929 1988461 "NUMERIC" 1994132 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-806 1976512 1982256 1982351 "NTSCAT" 1982356 NIL NTSCAT (NIL T T T T) -9 NIL 1982395 NIL) (-805 1975692 1975871 1976064 "NTPOLFN" 1976351 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-804 1975318 1975381 1975490 "NSUP2" 1975629 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-803 1962086 1972143 1972955 "NSUP" 1974539 NIL NSUP (NIL T) -8 NIL NIL NIL) (-802 1950922 1961860 1961993 "NSMP" 1961998 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-801 1949330 1949655 1950012 "NREP" 1950610 NIL NREP (NIL T) -7 NIL NIL NIL) (-800 1947909 1948173 1948531 "NPCOEF" 1949073 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-799 1946957 1947090 1947306 "NORMRETR" 1947790 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-798 1944968 1945288 1945697 "NORMPK" 1946665 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-797 1944647 1944681 1944805 "NORMMA" 1944934 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-796 1944430 1944465 1944534 "NONE1" 1944611 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-795 1944194 1944387 1944416 "NONE" 1944421 T NONE (NIL) -8 NIL NIL NIL) (-794 1943685 1943753 1943932 "NODE1" 1944126 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-793 1941777 1942808 1943063 "NNI" 1943410 T NNI (NIL) -8 NIL NIL 1943645) (-792 1940173 1940510 1940874 "NLINSOL" 1941445 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-791 1936354 1937409 1938308 "NIPROB" 1939294 T NIPROB (NIL) -8 NIL NIL NIL) (-790 1935093 1935345 1935647 "NFINTBAS" 1936116 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-789 1934177 1934743 1934784 "NETCLT" 1934956 NIL NETCLT (NIL T) -9 NIL 1935038 NIL) (-788 1932849 1933116 1933397 "NCODIV" 1933945 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-787 1932605 1932648 1932723 "NCNTFRAC" 1932806 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-786 1930761 1931149 1931569 "NCEP" 1932230 NIL NCEP (NIL T) -7 NIL NIL NIL) (-785 1929424 1930371 1930399 "NASRING" 1930509 T NASRING (NIL) -9 NIL 1930589 NIL) (-784 1929207 1929263 1929357 "NASRING-" 1929362 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-783 1928174 1928825 1928853 "NARNG" 1928970 T NARNG (NIL) -9 NIL 1929061 NIL) (-782 1927848 1927933 1928067 "NARNG-" 1928072 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-781 1926685 1926934 1927169 "NAGSP" 1927633 T NAGSP (NIL) -7 NIL NIL NIL) (-780 1917729 1919641 1921314 "NAGS" 1925032 T NAGS (NIL) -7 NIL NIL NIL) (-779 1916253 1916585 1916916 "NAGF07" 1917418 T NAGF07 (NIL) -7 NIL NIL NIL) (-778 1910725 1912082 1913389 "NAGF04" 1914966 T NAGF04 (NIL) -7 NIL NIL NIL) (-777 1903597 1905307 1906940 "NAGF02" 1909112 T NAGF02 (NIL) -7 NIL NIL NIL) (-776 1898761 1899921 1901038 "NAGF01" 1902500 T NAGF01 (NIL) -7 NIL NIL NIL) (-775 1892341 1893955 1895540 "NAGE04" 1897196 T NAGE04 (NIL) -7 NIL NIL NIL) (-774 1883402 1885631 1887761 "NAGE02" 1890231 T NAGE02 (NIL) -7 NIL NIL NIL) (-773 1879295 1880302 1881266 "NAGE01" 1882458 T NAGE01 (NIL) -7 NIL NIL NIL) (-772 1877072 1877624 1878182 "NAGD03" 1878757 T NAGD03 (NIL) -7 NIL NIL NIL) (-771 1868768 1870750 1872704 "NAGD02" 1875138 T NAGD02 (NIL) -7 NIL NIL NIL) (-770 1862507 1864004 1865444 "NAGD01" 1867348 T NAGD01 (NIL) -7 NIL NIL NIL) (-769 1858644 1859538 1860375 "NAGC06" 1861690 T NAGC06 (NIL) -7 NIL NIL NIL) (-768 1857091 1857441 1857797 "NAGC05" 1858308 T NAGC05 (NIL) -7 NIL NIL NIL) (-767 1856455 1856586 1856730 "NAGC02" 1856967 T NAGC02 (NIL) -7 NIL NIL NIL) (-766 1855256 1855983 1856023 "NAALG" 1856102 NIL NAALG (NIL T) -9 NIL 1856163 NIL) (-765 1855085 1855120 1855210 "NAALG-" 1855215 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-764 1848957 1850143 1851330 "MULTSQFR" 1853981 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-763 1848264 1848351 1848535 "MULTFACT" 1848869 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-762 1840402 1844847 1844900 "MTSCAT" 1845970 NIL MTSCAT (NIL T T) -9 NIL 1846486 NIL) (-761 1840108 1840168 1840260 "MTHING" 1840342 NIL MTHING (NIL T) -7 NIL NIL NIL) (-760 1839894 1839933 1839993 "MSYSCMD" 1840068 T MSYSCMD (NIL) -7 NIL NIL NIL) (-759 1836639 1839455 1839496 "MSETAGG" 1839501 NIL MSETAGG (NIL T) -9 NIL 1839535 NIL) (-758 1832353 1835394 1835714 "MSET" 1836352 NIL MSET (NIL T) -8 NIL NIL NIL) (-757 1827945 1829732 1830477 "MRING" 1831653 NIL MRING (NIL T T) -8 NIL NIL NIL) (-756 1827505 1827578 1827709 "MRF2" 1827872 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-755 1827117 1827158 1827302 "MRATFAC" 1827464 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-754 1824687 1825024 1825455 "MPRFF" 1826822 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-753 1818014 1824541 1824638 "MPOLY" 1824643 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-752 1817498 1817539 1817747 "MPCPF" 1817973 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-751 1817006 1817055 1817239 "MPC3" 1817449 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-750 1816189 1816282 1816503 "MPC2" 1816921 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-749 1814466 1814827 1815217 "MONOTOOL" 1815849 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-748 1813611 1813994 1814022 "MONOID" 1814241 T MONOID (NIL) -9 NIL 1814388 NIL) (-747 1813127 1813276 1813457 "MONOID-" 1813462 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-746 1802086 1808947 1809006 "MONOGEN" 1809680 NIL MONOGEN (NIL T T) -9 NIL 1810136 NIL) (-745 1799136 1800039 1801039 "MONOGEN-" 1801158 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-744 1797853 1798401 1798429 "MONADWU" 1798821 T MONADWU (NIL) -9 NIL 1799059 NIL) (-743 1797183 1797384 1797632 "MONADWU-" 1797637 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-742 1796468 1796772 1796800 "MONAD" 1797007 T MONAD (NIL) -9 NIL 1797119 NIL) (-741 1796135 1796231 1796363 "MONAD-" 1796368 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-740 1794274 1795048 1795327 "MOEBIUS" 1795888 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-739 1793442 1793942 1793982 "MODULE" 1793987 NIL MODULE (NIL T) -9 NIL 1794026 NIL) (-738 1792980 1793106 1793296 "MODULE-" 1793301 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-737 1790510 1791344 1791671 "MODRING" 1792804 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-736 1787232 1788615 1789136 "MODOP" 1790039 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-735 1785718 1786299 1786576 "MODMONOM" 1787095 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-734 1774465 1784009 1784423 "MODMON" 1785355 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-733 1771298 1773309 1773585 "MODFIELD" 1774340 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-732 1770209 1770579 1770769 "MMLFORM" 1771128 T MMLFORM (NIL) -8 NIL NIL NIL) (-731 1769729 1769778 1769957 "MMAP" 1770160 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-730 1767622 1768561 1768602 "MLO" 1769025 NIL MLO (NIL T) -9 NIL 1769267 NIL) (-729 1764970 1765504 1766106 "MLIFT" 1767103 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-728 1764349 1764445 1764599 "MKUCFUNC" 1764881 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-727 1763942 1764018 1764141 "MKRECORD" 1764272 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-726 1762965 1763151 1763379 "MKFUNC" 1763753 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-725 1762341 1762457 1762613 "MKFLCFN" 1762848 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-724 1761606 1761720 1761905 "MKBCFUNC" 1762234 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-723 1757596 1761160 1761296 "MINT" 1761490 T MINT (NIL) -8 NIL NIL NIL) (-722 1756378 1756651 1756928 "MHROWRED" 1757351 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-721 1751129 1754913 1755318 "MFLOAT" 1755993 T MFLOAT (NIL) -8 NIL NIL NIL) (-720 1750474 1750562 1750733 "MFINFACT" 1751041 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-719 1746753 1747637 1748521 "MESH" 1749610 T MESH (NIL) -7 NIL NIL NIL) (-718 1745107 1745455 1745808 "MDDFACT" 1746440 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-717 1741643 1744238 1744279 "MDAGG" 1744534 NIL MDAGG (NIL T) -9 NIL 1744677 NIL) (-716 1729352 1740936 1741143 "MCMPLX" 1741456 T MCMPLX (NIL) -8 NIL NIL NIL) (-715 1728471 1728635 1728836 "MCDEN" 1729201 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-714 1726319 1726631 1727011 "MCALCFN" 1728201 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-713 1725196 1725484 1725717 "MAYBE" 1726125 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-712 1722754 1723331 1723893 "MATSTOR" 1724667 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-711 1718176 1722126 1722374 "MATRIX" 1722539 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-710 1713876 1714649 1715385 "MATLIN" 1717533 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-709 1712452 1712623 1712956 "MATCAT2" 1713711 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-708 1701791 1705509 1705586 "MATCAT" 1710618 NIL MATCAT (NIL T T T) -9 NIL 1712090 NIL) (-707 1697744 1699054 1700467 "MATCAT-" 1700472 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-706 1695820 1696180 1696564 "MAPPKG3" 1697419 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-705 1694777 1694974 1695196 "MAPPKG2" 1695644 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-704 1693234 1693560 1693887 "MAPPKG1" 1694483 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-703 1692235 1692640 1692817 "MAPPAST" 1693077 T MAPPAST (NIL) -8 NIL NIL NIL) (-702 1691840 1691904 1692027 "MAPHACK3" 1692171 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-701 1691420 1691493 1691607 "MAPHACK2" 1691772 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-700 1690846 1690961 1691103 "MAPHACK1" 1691311 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-699 1688769 1689546 1689850 "MAGMA" 1690574 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-698 1688188 1688493 1688584 "MACROAST" 1688698 T MACROAST (NIL) -8 NIL NIL NIL) (-697 1684431 1686427 1686888 "M3D" 1687760 NIL M3D (NIL T) -8 NIL NIL NIL) (-696 1677903 1682742 1682783 "LZSTAGG" 1683565 NIL LZSTAGG (NIL T) -9 NIL 1683860 NIL) (-695 1673585 1675034 1676491 "LZSTAGG-" 1676496 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-694 1670498 1671476 1671963 "LWORD" 1673130 NIL LWORD (NIL T) -8 NIL NIL NIL) (-693 1670020 1670302 1670377 "LSTAST" 1670443 T LSTAST (NIL) -8 NIL NIL NIL) (-692 1661948 1669791 1669925 "LSQM" 1669930 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-691 1661166 1661311 1661539 "LSPP" 1661803 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-690 1657903 1658619 1659349 "LSMP1" 1660468 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-689 1655685 1656016 1656472 "LSMP" 1657592 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-688 1648813 1654775 1654816 "LSAGG" 1654878 NIL LSAGG (NIL T) -9 NIL 1654956 NIL) (-687 1645322 1646432 1647645 "LSAGG-" 1647650 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-686 1642617 1644466 1644715 "LPOLY" 1645117 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-685 1642193 1642284 1642407 "LPEFRAC" 1642526 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-684 1641876 1641955 1641983 "LOGIC" 1642094 T LOGIC (NIL) -9 NIL 1642176 NIL) (-683 1641732 1641761 1641832 "LOGIC-" 1641837 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-682 1640907 1641065 1641258 "LODOOPS" 1641588 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-681 1639431 1639680 1640033 "LODOF" 1640654 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-680 1635307 1638066 1638107 "LODOCAT" 1638545 NIL LODOCAT (NIL T) -9 NIL 1638756 NIL) (-679 1635022 1635098 1635225 "LODOCAT-" 1635230 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-678 1632008 1634863 1634981 "LODO2" 1634986 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-677 1629115 1631945 1631990 "LODO1" 1631995 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-676 1626210 1629031 1629097 "LODO" 1629102 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-675 1625079 1625256 1625561 "LODEEF" 1626033 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-674 1623256 1624173 1624426 "LO" 1624911 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1618228 1621422 1621463 "LNAGG" 1622325 NIL LNAGG (NIL T) -9 NIL 1622760 NIL) (-672 1617321 1617589 1617931 "LNAGG-" 1617936 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-671 1613301 1614246 1614885 "LMOPS" 1616736 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-670 1612600 1613078 1613119 "LMODULE" 1613124 NIL LMODULE (NIL T) -9 NIL 1613150 NIL) (-669 1609555 1612245 1612368 "LMDICT" 1612510 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-668 1609131 1609345 1609386 "LLINSET" 1609447 NIL LLINSET (NIL T) -9 NIL 1609491 NIL) (-667 1608776 1609039 1609099 "LITERAL" 1609104 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-666 1608295 1608375 1608514 "LIST3" 1608696 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-665 1606393 1606741 1607140 "LIST2MAP" 1607942 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-664 1605382 1605578 1605806 "LIST2" 1606211 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-663 1597836 1604316 1604620 "LIST" 1605111 NIL LIST (NIL T) -8 NIL NIL NIL) (-662 1597419 1597655 1597696 "LINSET" 1597701 NIL LINSET (NIL T) -9 NIL 1597735 NIL) (-661 1596233 1596927 1597094 "LINFORM" 1597304 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-660 1594532 1595260 1595301 "LINEXP" 1595791 NIL LINEXP (NIL T) -9 NIL 1596064 NIL) (-659 1593108 1594012 1594193 "LINELT" 1594403 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-658 1591665 1591945 1592256 "LINDEP" 1592860 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-657 1590801 1591397 1591507 "LINBASIS" 1591595 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-656 1587538 1588287 1589064 "LIMITRF" 1590056 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-655 1585823 1586137 1586546 "LIMITPS" 1587233 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-654 1584651 1585226 1585266 "LIECAT" 1585406 NIL LIECAT (NIL T) -9 NIL 1585557 NIL) (-653 1584486 1584519 1584607 "LIECAT-" 1584612 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-652 1578506 1583997 1584225 "LIE" 1584307 NIL LIE (NIL T T) -8 NIL NIL NIL) (-651 1570691 1578046 1578202 "LIB" 1578370 T LIB (NIL) -8 NIL NIL NIL) (-650 1566260 1567209 1568144 "LGROBP" 1569808 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-649 1564884 1565792 1565820 "LFCAT" 1566027 T LFCAT (NIL) -9 NIL 1566166 NIL) (-648 1562822 1563156 1563506 "LF" 1564605 NIL LF (NIL T T) -7 NIL NIL NIL) (-647 1559682 1560354 1561042 "LEXTRIPK" 1562186 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-646 1556270 1557252 1557755 "LEXP" 1559262 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-645 1555686 1555991 1556083 "LETAST" 1556198 T LETAST (NIL) -8 NIL NIL NIL) (-644 1554072 1554397 1554798 "LEADCDET" 1555368 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-643 1553250 1553336 1553565 "LAZM3PK" 1553993 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-642 1547768 1551327 1551865 "LAUPOL" 1552762 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-641 1547341 1547391 1547552 "LAPLACE" 1547718 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-640 1546189 1546905 1546946 "LALG" 1547008 NIL LALG (NIL T) -9 NIL 1547067 NIL) (-639 1545885 1545962 1546098 "LALG-" 1546103 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-638 1543622 1544986 1545237 "LA" 1545718 NIL LA (NIL T T T) -8 NIL NIL NIL) (-637 1543451 1543481 1543522 "KVTFROM" 1543584 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-636 1542208 1542818 1543003 "KTVLOGIC" 1543286 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-635 1542037 1542067 1542108 "KRCFROM" 1542170 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-634 1540929 1541128 1541427 "KOVACIC" 1541837 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-633 1540758 1540788 1540829 "KONVERT" 1540891 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-632 1540587 1540617 1540658 "KOERCE" 1540720 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-631 1540071 1540164 1540296 "KERNEL2" 1540501 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-630 1537758 1538664 1539041 "KERNEL" 1539727 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-629 1531229 1536235 1536289 "KDAGG" 1536666 NIL KDAGG (NIL T T) -9 NIL 1536872 NIL) (-628 1530740 1530882 1531087 "KDAGG-" 1531092 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-627 1523440 1530401 1530556 "KAFILE" 1530618 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-626 1523044 1523329 1523392 "JVMOP" 1523397 T JVMOP (NIL) -8 NIL NIL NIL) (-625 1521780 1522284 1522533 "JVMMDACC" 1522815 T JVMMDACC (NIL) -8 NIL NIL NIL) (-624 1520716 1521170 1521375 "JVMFDACC" 1521595 T JVMFDACC (NIL) -8 NIL NIL NIL) (-623 1519297 1519792 1520092 "JVMCSTTG" 1520436 T JVMCSTTG (NIL) -8 NIL NIL NIL) (-622 1518433 1518837 1518998 "JVMCFACC" 1519156 T JVMCFACC (NIL) -8 NIL NIL NIL) (-621 1518111 1518350 1518399 "JVMBCODE" 1518404 T JVMBCODE (NIL) -8 NIL NIL NIL) (-620 1512130 1517622 1517850 "JORDAN" 1517932 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-619 1511443 1511779 1511900 "JOINAST" 1512029 T JOINAST (NIL) -8 NIL NIL NIL) (-618 1507478 1509620 1509674 "IXAGG" 1510603 NIL IXAGG (NIL T T) -9 NIL 1511062 NIL) (-617 1506331 1506703 1507122 "IXAGG-" 1507127 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-616 1501420 1506253 1506312 "IVECTOR" 1506317 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-615 1500145 1500423 1500689 "ITUPLE" 1501187 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-614 1498617 1498824 1499119 "ITRIGMNP" 1499967 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-613 1497344 1497566 1497849 "ITFUN3" 1498393 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-612 1496942 1497005 1497128 "ITFUN2" 1497267 NIL ITFUN2 (NIL T T) -8 NIL NIL NIL) (-611 1496047 1496422 1496596 "ITFORM" 1496788 T ITFORM (NIL) -8 NIL NIL NIL) (-610 1493816 1495067 1495345 "ITAYLOR" 1495802 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-609 1482213 1487953 1489116 "ISUPS" 1492686 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-608 1481305 1481457 1481693 "ISUMP" 1482060 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-607 1476155 1481250 1481291 "ISTRING" 1481296 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-606 1475571 1475876 1475968 "ISAST" 1476083 T ISAST (NIL) -8 NIL NIL NIL) (-605 1474768 1474862 1475078 "IRURPK" 1475485 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-604 1473680 1473905 1474145 "IRSN" 1474548 T IRSN (NIL) -7 NIL NIL NIL) (-603 1471725 1472106 1472535 "IRRF2F" 1473318 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-602 1471466 1471510 1471586 "IRREDFFX" 1471681 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-601 1470039 1470340 1470639 "IROOT" 1471199 NIL IROOT (NIL T) -7 NIL NIL NIL) (-600 1469178 1469532 1469683 "IRFORM" 1469908 T IRFORM (NIL) -8 NIL NIL NIL) (-599 1468260 1468391 1468605 "IR2F" 1469061 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-598 1465849 1466368 1466934 "IR2" 1467738 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-597 1462289 1463533 1464225 "IR" 1465189 NIL IR (NIL T) -8 NIL NIL NIL) (-596 1462074 1462114 1462174 "IPRNTPK" 1462249 T IPRNTPK (NIL) -7 NIL NIL NIL) (-595 1458034 1461963 1462032 "IPF" 1462037 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-594 1456062 1457959 1458016 "IPADIC" 1458021 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-593 1455320 1455622 1455752 "IP4ADDR" 1455952 T IP4ADDR (NIL) -8 NIL NIL NIL) (-592 1454658 1454949 1455081 "IOMODE" 1455208 T IOMODE (NIL) -8 NIL NIL NIL) (-591 1453629 1454255 1454382 "IOBFILE" 1454551 T IOBFILE (NIL) -8 NIL NIL NIL) (-590 1453039 1453533 1453561 "IOBCON" 1453566 T IOBCON (NIL) -9 NIL 1453587 NIL) (-589 1452544 1452608 1452791 "INVLAPLA" 1452975 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-588 1442114 1444546 1446932 "INTTR" 1450208 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-587 1438407 1439191 1440056 "INTTOOLS" 1441299 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-586 1437987 1438084 1438201 "INTSLPE" 1438310 T INTSLPE (NIL) -7 NIL NIL NIL) (-585 1435454 1437910 1437969 "INTRVL" 1437974 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-584 1433032 1433568 1434143 "INTRF" 1434939 NIL INTRF (NIL T) -7 NIL NIL NIL) (-583 1432425 1432540 1432682 "INTRET" 1432930 NIL INTRET (NIL T) -7 NIL NIL NIL) (-582 1430398 1430811 1431281 "INTRAT" 1432033 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-581 1427643 1428244 1428863 "INTPM" 1429883 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-580 1424360 1424987 1425725 "INTPAF" 1427029 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-579 1419461 1420501 1421552 "INTPACK" 1423329 T INTPACK (NIL) -7 NIL NIL NIL) (-578 1418707 1418865 1419073 "INTHERTR" 1419303 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-577 1418140 1418226 1418414 "INTHERAL" 1418621 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-576 1415908 1416429 1416886 "INTHEORY" 1417703 T INTHEORY (NIL) -7 NIL NIL NIL) (-575 1407240 1408935 1410707 "INTG0" 1414260 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-574 1387765 1392603 1397413 "INTFTBL" 1402450 T INTFTBL (NIL) -8 NIL NIL NIL) (-573 1386990 1387152 1387325 "INTFACT" 1387624 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-572 1384387 1384863 1385420 "INTEF" 1386544 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-571 1382584 1383479 1383507 "INTDOM" 1383808 T INTDOM (NIL) -9 NIL 1384015 NIL) (-570 1381923 1382127 1382369 "INTDOM-" 1382374 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-569 1377791 1380212 1380266 "INTCAT" 1381065 NIL INTCAT (NIL T) -9 NIL 1381386 NIL) (-568 1377245 1377366 1377494 "INTBIT" 1377683 T INTBIT (NIL) -7 NIL NIL NIL) (-567 1375926 1376098 1376405 "INTALG" 1377090 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-566 1375403 1375499 1375656 "INTAF" 1375830 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-565 1368370 1375213 1375353 "INTABL" 1375358 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-564 1367611 1368173 1368238 "INT8" 1368272 T INT8 (NIL) -8 NIL NIL 1368317) (-563 1366851 1367413 1367478 "INT64" 1367512 T INT64 (NIL) -8 NIL NIL 1367557) (-562 1366091 1366653 1366718 "INT32" 1366752 T INT32 (NIL) -8 NIL NIL 1366797) (-561 1365331 1365893 1365958 "INT16" 1365992 T INT16 (NIL) -8 NIL NIL 1366037) (-560 1361526 1365128 1365237 "INT" 1365242 T INT (NIL) -8 NIL NIL NIL) (-559 1355628 1359074 1359102 "INS" 1360036 T INS (NIL) -9 NIL 1360701 NIL) (-558 1352682 1353639 1354613 "INS-" 1354686 NIL INS- (NIL T) -8 NIL NIL NIL) (-557 1351439 1351684 1351982 "INPSIGN" 1352435 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-556 1350533 1350674 1350871 "INPRODPF" 1351319 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-555 1349403 1349544 1349781 "INPRODFF" 1350413 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-554 1348391 1348555 1348815 "INNMFACT" 1349239 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-553 1347570 1347685 1347873 "INMODGCD" 1348290 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-552 1346054 1346323 1346647 "INFSP" 1347315 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-551 1345214 1345355 1345538 "INFPROD0" 1345934 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-550 1344812 1344884 1344982 "INFORM1" 1345149 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-549 1341379 1342877 1343392 "INFORM" 1344305 T INFORM (NIL) -8 NIL NIL NIL) (-548 1340884 1340991 1341105 "INFINITY" 1341285 T INFINITY (NIL) -7 NIL NIL NIL) (-547 1339958 1340604 1340705 "INETCLTS" 1340803 T INETCLTS (NIL) -8 NIL NIL NIL) (-546 1338556 1338824 1339145 "INEP" 1339706 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-545 1337617 1338453 1338518 "INDE" 1338523 NIL INDE (NIL T) -8 NIL NIL NIL) (-544 1337169 1337249 1337366 "INCRMAPS" 1337544 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-543 1335891 1336438 1336644 "INBFILE" 1336983 T INBFILE (NIL) -8 NIL NIL NIL) (-542 1331070 1332127 1333071 "INBFF" 1334979 NIL INBFF (NIL T) -7 NIL NIL NIL) (-541 1329924 1330247 1330275 "INBCON" 1330788 T INBCON (NIL) -9 NIL 1331054 NIL) (-540 1329134 1329399 1329675 "INBCON-" 1329680 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-539 1328553 1328858 1328949 "INAST" 1329063 T INAST (NIL) -8 NIL NIL NIL) (-538 1327920 1328232 1328338 "IMPTAST" 1328467 T IMPTAST (NIL) -8 NIL NIL NIL) (-537 1323841 1327764 1327868 "IMATRIX" 1327873 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-536 1322533 1322672 1322988 "IMATQF" 1323697 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-535 1320713 1320980 1321317 "IMATLIN" 1322289 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-534 1314628 1320637 1320695 "ILIST" 1320700 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-533 1312294 1314488 1314601 "IIARRAY2" 1314606 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-532 1307101 1312205 1312269 "IFF" 1312274 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-531 1306382 1306718 1306834 "IFAST" 1307005 T IFAST (NIL) -8 NIL NIL NIL) (-530 1300894 1305674 1305862 "IFARRAY" 1306239 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-529 1299932 1300798 1300871 "IFAMON" 1300876 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-528 1299504 1299581 1299635 "IEVALAB" 1299842 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-527 1299167 1299247 1299407 "IEVALAB-" 1299412 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-526 1298231 1299056 1299131 "IDPOAMS" 1299136 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-525 1297364 1298120 1298195 "IDPOAM" 1298200 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-524 1296745 1297279 1297341 "IDPO" 1297346 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1295225 1295752 1295804 "IDPC" 1296316 NIL IDPC (NIL T T) -9 NIL 1296597 NIL) (-522 1294557 1295117 1295190 "IDPAM" 1295195 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-521 1293772 1294449 1294522 "IDPAG" 1294527 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-520 1293316 1293578 1293668 "IDENT" 1293702 T IDENT (NIL) -8 NIL NIL NIL) (-519 1289535 1290419 1291314 "IDECOMP" 1292473 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-518 1282170 1283458 1284505 "IDEAL" 1288571 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-517 1281312 1281442 1281642 "ICDEN" 1282054 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-516 1280287 1280792 1280939 "ICARD" 1281185 T ICARD (NIL) -8 NIL NIL NIL) (-515 1278317 1278660 1279065 "IBPTOOLS" 1279964 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-514 1273432 1277937 1278050 "IBITS" 1278236 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-513 1270107 1270731 1271426 "IBATOOL" 1272849 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-512 1267868 1268348 1268881 "IBACHIN" 1269642 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-511 1265458 1267714 1267817 "IARRAY2" 1267822 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-510 1261171 1265384 1265441 "IARRAY1" 1265446 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-509 1254188 1259583 1260064 "IAN" 1260710 T IAN (NIL) -8 NIL NIL NIL) (-508 1253693 1253756 1253929 "IALGFACT" 1254125 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-507 1253185 1253334 1253362 "HYPCAT" 1253569 T HYPCAT (NIL) -9 NIL NIL NIL) (-506 1252687 1252840 1253026 "HYPCAT-" 1253031 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-505 1252234 1252482 1252565 "HOSTNAME" 1252624 T HOSTNAME (NIL) -8 NIL NIL NIL) (-504 1252067 1252116 1252157 "HOMOTOP" 1252162 NIL HOMOTOP (NIL T) -9 NIL 1252195 NIL) (-503 1248500 1249999 1250040 "HOAGG" 1251021 NIL HOAGG (NIL T) -9 NIL 1251750 NIL) (-502 1247016 1247493 1248019 "HOAGG-" 1248024 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-501 1240059 1246609 1246759 "HEXADEC" 1246886 T HEXADEC (NIL) -8 NIL NIL NIL) (-500 1238771 1239029 1239292 "HEUGCD" 1239836 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-499 1237703 1238608 1238738 "HELLFDIV" 1238743 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-498 1235713 1237480 1237568 "HEAP" 1237647 NIL HEAP (NIL T) -8 NIL NIL NIL) (-497 1234910 1235265 1235399 "HEADAST" 1235599 T HEADAST (NIL) -8 NIL NIL NIL) (-496 1228297 1234825 1234887 "HDP" 1234892 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-495 1221309 1227932 1228084 "HDMP" 1228198 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-494 1220615 1220773 1220937 "HB" 1221165 T HB (NIL) -7 NIL NIL NIL) (-493 1213625 1220461 1220565 "HASHTBL" 1220570 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-492 1213041 1213346 1213438 "HASAST" 1213553 T HASAST (NIL) -8 NIL NIL NIL) (-491 1210454 1212663 1212845 "HACKPI" 1212879 T HACKPI (NIL) -8 NIL NIL NIL) (-490 1205626 1210307 1210420 "GTSET" 1210425 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-489 1198665 1205504 1205602 "GSTBL" 1205607 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-488 1190421 1197830 1198086 "GSERIES" 1198465 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-487 1189452 1189965 1189993 "GROUP" 1190196 T GROUP (NIL) -9 NIL 1190330 NIL) (-486 1188776 1188977 1189228 "GROUP-" 1189233 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-485 1187125 1187464 1187851 "GROEBSOL" 1188453 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-484 1185953 1186313 1186364 "GRMOD" 1186893 NIL GRMOD (NIL T T) -9 NIL 1187061 NIL) (-483 1185709 1185757 1185885 "GRMOD-" 1185890 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-482 1180849 1182063 1183063 "GRIMAGE" 1184729 T GRIMAGE (NIL) -8 NIL NIL NIL) (-481 1179243 1179576 1179900 "GRDEF" 1180545 T GRDEF (NIL) -7 NIL NIL NIL) (-480 1178675 1178803 1178944 "GRAY" 1179122 T GRAY (NIL) -7 NIL NIL NIL) (-479 1177752 1178254 1178305 "GRALG" 1178458 NIL GRALG (NIL T T) -9 NIL 1178551 NIL) (-478 1177389 1177486 1177649 "GRALG-" 1177654 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-477 1173870 1176972 1177151 "GPOLSET" 1177295 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-476 1173218 1173281 1173539 "GOSPER" 1173807 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-475 1168788 1169656 1170182 "GMODPOL" 1172917 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-474 1167775 1167977 1168215 "GHENSEL" 1168600 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-473 1161847 1162774 1163794 "GENUPS" 1166859 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-472 1161538 1161595 1161684 "GENUFACT" 1161790 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-471 1160938 1161027 1161192 "GENPGCD" 1161456 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-470 1160406 1160447 1160660 "GENMFACT" 1160897 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-469 1158942 1159229 1159536 "GENEEZ" 1160149 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-468 1152114 1158553 1158715 "GDMP" 1158865 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-467 1140852 1145885 1146991 "GCNAALG" 1151097 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-466 1138979 1140027 1140055 "GCDDOM" 1140310 T GCDDOM (NIL) -9 NIL 1140467 NIL) (-465 1138419 1138576 1138791 "GCDDOM-" 1138796 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-464 1126891 1129365 1131757 "GBINTERN" 1136110 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-463 1124692 1125020 1125441 "GBF" 1126566 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-462 1123449 1123638 1123905 "GBEUCLID" 1124508 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-461 1122099 1122306 1122610 "GB" 1123228 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-460 1121430 1121573 1121722 "GAUSSFAC" 1121970 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-459 1119751 1120099 1120413 "GALUTIL" 1121149 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-458 1118011 1118333 1118657 "GALPOLYU" 1119478 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-457 1115310 1115666 1116073 "GALFACTU" 1117708 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-456 1106924 1108615 1110223 "GALFACT" 1113742 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-455 1104210 1104970 1104998 "FVFUN" 1106154 T FVFUN (NIL) -9 NIL 1106874 NIL) (-454 1103440 1103658 1103686 "FVC" 1103977 T FVC (NIL) -9 NIL 1104160 NIL) (-453 1103041 1103265 1103333 "FUNDESC" 1103392 T FUNDESC (NIL) -8 NIL NIL NIL) (-452 1102614 1102838 1102919 "FUNCTION" 1102993 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-451 1101291 1101915 1102118 "FTEM" 1102431 T FTEM (NIL) -8 NIL NIL NIL) (-450 1098921 1099613 1100079 "FT" 1100845 T FT (NIL) -8 NIL NIL NIL) (-449 1097190 1097501 1097898 "FSUPFACT" 1098612 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-448 1095509 1095876 1096208 "FST" 1096878 T FST (NIL) -8 NIL NIL NIL) (-447 1094690 1094814 1095002 "FSRED" 1095391 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-446 1093379 1093645 1093992 "FSPRMELT" 1094405 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-445 1090589 1091123 1091609 "FSPECF" 1092942 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-444 1090111 1090171 1090341 "FSINT" 1090530 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-443 1088247 1089104 1089407 "FSERIES" 1089890 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-442 1087271 1087405 1087629 "FSCINT" 1088127 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-441 1086295 1086456 1086683 "FSAGG2" 1087124 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-440 1082159 1085239 1085280 "FSAGG" 1085650 NIL FSAGG (NIL T) -9 NIL 1085909 NIL) (-439 1079759 1080522 1081318 "FSAGG-" 1081413 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-438 1077419 1077717 1078265 "FS2UPS" 1079477 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-437 1076285 1076468 1076770 "FS2EXPXP" 1077244 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-436 1075913 1075962 1076091 "FS2" 1076236 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-435 1056144 1065687 1065728 "FS" 1069612 NIL FS (NIL T) -9 NIL 1071901 NIL) (-434 1044205 1047780 1051837 "FS-" 1052137 NIL FS- (NIL T T) -8 NIL NIL NIL) (-433 1043619 1043746 1043898 "FRUTIL" 1044085 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-432 1038130 1041308 1041348 "FRNAALG" 1042668 NIL FRNAALG (NIL T) -9 NIL 1043266 NIL) (-431 1033611 1034879 1036154 "FRNAALG-" 1036904 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-430 1033243 1033292 1033419 "FRNAAF2" 1033562 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-429 1031530 1032092 1032388 "FRMOD" 1033055 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-428 1030715 1030808 1031099 "FRIDEAL2" 1031437 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-427 1028320 1029090 1029408 "FRIDEAL" 1030506 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-426 1027411 1027867 1027908 "FRETRCT" 1027913 NIL FRETRCT (NIL T) -9 NIL 1028089 NIL) (-425 1026469 1026754 1027105 "FRETRCT-" 1027110 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-424 1023283 1024753 1024812 "FRAMALG" 1025694 NIL FRAMALG (NIL T T) -9 NIL 1025986 NIL) (-423 1021321 1021872 1022502 "FRAMALG-" 1022725 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-422 1020951 1021014 1021121 "FRAC2" 1021258 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-421 1013929 1020424 1020701 "FRAC" 1020706 NIL FRAC (NIL T) -8 NIL NIL NIL) (-420 1013559 1013622 1013729 "FR2" 1013866 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-419 1004476 1009054 1010412 "FR" 1012233 NIL FR (NIL T) -8 NIL NIL NIL) (-418 998395 1001855 1001883 "FPS" 1003002 T FPS (NIL) -9 NIL 1003559 NIL) (-417 997820 997953 998117 "FPS-" 998263 NIL FPS- (NIL T) -8 NIL NIL NIL) (-416 994779 996777 996805 "FPC" 997030 T FPC (NIL) -9 NIL 997172 NIL) (-415 994560 994612 994709 "FPC-" 994714 NIL FPC- (NIL T) -8 NIL NIL NIL) (-414 993318 994048 994089 "FPATMAB" 994094 NIL FPATMAB (NIL T) -9 NIL 994246 NIL) (-413 991461 992060 992407 "FPARFRAC" 993034 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-412 986753 987353 988035 "FORTRAN" 990893 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-411 984327 984991 985019 "FORTFN" 986079 T FORTFN (NIL) -9 NIL 986703 NIL) (-410 984079 984141 984169 "FORTCAT" 984228 T FORTCAT (NIL) -9 NIL 984290 NIL) (-409 981765 982295 982834 "FORT" 983560 T FORT (NIL) -7 NIL NIL NIL) (-408 981547 981583 981652 "FORMULA1" 981729 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-407 979551 980163 980553 "FORMULA" 981177 T FORMULA (NIL) -8 NIL NIL NIL) (-406 979068 979126 979299 "FORDER" 979493 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-405 978128 978328 978521 "FOP" 978895 T FOP (NIL) -7 NIL NIL NIL) (-404 976541 977408 977582 "FNLA" 978010 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-403 975160 975671 975699 "FNCAT" 976159 T FNCAT (NIL) -9 NIL 976419 NIL) (-402 974603 975119 975147 "FNAME" 975152 T FNAME (NIL) -8 NIL NIL NIL) (-401 972929 974102 974130 "FMTC" 974135 T FMTC (NIL) -9 NIL 974171 NIL) (-400 971478 972865 972911 "FMONOID" 972916 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-399 968067 969433 969474 "FMONCAT" 970691 NIL FMONCAT (NIL T) -9 NIL 971296 NIL) (-398 965389 966137 966165 "FMFUN" 967309 T FMFUN (NIL) -9 NIL 968017 NIL) (-397 962262 963314 963368 "FMCAT" 964563 NIL FMCAT (NIL T T) -9 NIL 965058 NIL) (-396 961495 961712 961740 "FMC" 962030 T FMC (NIL) -9 NIL 962212 NIL) (-395 960163 961261 961361 "FM1" 961440 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-394 959181 959905 960054 "FM" 960059 NIL FM (NIL T T) -8 NIL NIL NIL) (-393 956919 957371 957865 "FLOATRP" 958732 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-392 954321 954857 955435 "FLOATCP" 956386 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-391 946984 952050 952671 "FLOAT" 953720 T FLOAT (NIL) -8 NIL NIL NIL) (-390 945502 946576 946617 "FLINEXP" 946622 NIL FLINEXP (NIL T) -9 NIL 946715 NIL) (-389 944632 944891 945219 "FLINEXP-" 945224 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-388 943690 943852 944076 "FLASORT" 944484 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-387 940608 941660 941712 "FLALG" 942939 NIL FLALG (NIL T T) -9 NIL 943406 NIL) (-386 939632 939793 940020 "FLAGG2" 940461 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-385 932887 937041 937082 "FLAGG" 938344 NIL FLAGG (NIL T) -9 NIL 938996 NIL) (-384 931541 931952 932442 "FLAGG-" 932447 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 928172 929386 929445 "FINRALG" 930573 NIL FINRALG (NIL T T) -9 NIL 931081 NIL) (-382 927296 927561 927900 "FINRALG-" 927905 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-381 926602 926901 926929 "FINITE" 927125 T FINITE (NIL) -9 NIL 927232 NIL) (-380 918553 921132 921172 "FINAALG" 924839 NIL FINAALG (NIL T) -9 NIL 926292 NIL) (-379 913669 914935 916079 "FINAALG-" 917458 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-378 912229 912651 912705 "FILECAT" 913389 NIL FILECAT (NIL T T) -9 NIL 913605 NIL) (-377 911507 911984 912087 "FILE" 912159 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 908910 910737 910765 "FIELD" 910805 T FIELD (NIL) -9 NIL 910885 NIL) (-375 907452 907915 908426 "FIELD-" 908431 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-374 905135 906087 906434 "FGROUP" 907138 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-373 904207 904389 904609 "FGLMICPK" 904967 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-372 899448 904132 904189 "FFX" 904194 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-371 899043 899110 899245 "FFSLPE" 899381 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-370 898541 898583 898792 "FFPOLY2" 899001 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-369 894417 895313 896109 "FFPOLY" 897777 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 889672 894336 894399 "FFP" 894404 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-367 884189 889015 889205 "FFNBX" 889526 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-366 878508 883324 883582 "FFNBP" 884043 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-365 872532 877792 878003 "FFNB" 878341 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-364 871352 871562 871877 "FFINTBAS" 872329 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-363 866931 869599 869627 "FFIELDC" 870247 T FFIELDC (NIL) -9 NIL 870623 NIL) (-362 865509 865964 866461 "FFIELDC-" 866466 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-361 865066 865124 865248 "FFHOM" 865451 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-360 862725 863248 863765 "FFF" 864581 NIL FFF (NIL T) -7 NIL NIL NIL) (-359 857746 862467 862568 "FFCGX" 862668 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-358 852771 857478 857585 "FFCGP" 857689 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-357 847357 852498 852606 "FFCG" 852707 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-356 846762 846811 847046 "FFCAT2" 847308 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-355 825430 836494 836580 "FFCAT" 841745 NIL FFCAT (NIL T T T) -9 NIL 843196 NIL) (-354 820441 821675 822989 "FFCAT-" 824219 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-353 815248 820352 820416 "FF" 820421 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-352 803901 808220 809440 "FEXPR" 814100 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-351 802829 803298 803339 "FEVALAB" 803423 NIL FEVALAB (NIL T) -9 NIL 803684 NIL) (-350 801946 802198 802536 "FEVALAB-" 802541 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-349 798808 799693 799808 "FDIVCAT" 801376 NIL FDIVCAT (NIL T T T T) -9 NIL 801813 NIL) (-348 798564 798597 798767 "FDIVCAT-" 798772 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-347 797778 797871 798148 "FDIV2" 798471 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-346 796188 797161 797364 "FDIV" 797677 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-345 795096 795483 795685 "FCTRDATA" 796006 T FCTRDATA (NIL) -8 NIL NIL NIL) (-344 793752 794041 794330 "FCPAK1" 794827 T FCPAK1 (NIL) -7 NIL NIL NIL) (-343 792755 793252 793393 "FCOMP" 793643 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-342 776069 779905 783443 "FC" 789237 T FC (NIL) -8 NIL NIL NIL) (-341 767764 772390 772430 "FAXF" 774232 NIL FAXF (NIL T) -9 NIL 774924 NIL) (-340 764885 765698 766523 "FAXF-" 766988 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-339 759454 764261 764437 "FARRAY" 764742 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-338 754013 756401 756454 "FAMR" 757477 NIL FAMR (NIL T T) -9 NIL 757937 NIL) (-337 752837 753205 753640 "FAMR-" 753645 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-336 751864 752759 752812 "FAMONOID" 752817 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-335 749494 750346 750399 "FAMONC" 751340 NIL FAMONC (NIL T T) -9 NIL 751726 NIL) (-334 747968 749248 749385 "FAGROUP" 749390 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-333 745721 746082 746485 "FACUTIL" 747649 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-332 744808 745005 745227 "FACTFUNC" 745531 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-331 736573 744111 744310 "EXPUPXS" 744664 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-330 734026 734596 735182 "EXPRTUBE" 736007 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-329 730237 730889 731619 "EXPRODE" 733365 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-328 724671 725378 726184 "EXPR2UPS" 729535 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-327 724297 724360 724469 "EXPR2" 724608 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-326 708598 722946 723375 "EXPR" 723901 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 698922 707749 708040 "EXPEXPAN" 708434 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-324 698342 698646 698737 "EXITAST" 698851 T EXITAST (NIL) -8 NIL NIL NIL) (-323 698106 698299 698328 "EXIT" 698333 T EXIT (NIL) -8 NIL NIL NIL) (-322 697727 697795 697908 "EVALCYC" 698038 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-321 697244 697386 697427 "EVALAB" 697597 NIL EVALAB (NIL T) -9 NIL 697701 NIL) (-320 696701 696847 697068 "EVALAB-" 697073 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-319 693816 695357 695385 "EUCDOM" 695940 T EUCDOM (NIL) -9 NIL 696290 NIL) (-318 692176 692677 693260 "EUCDOM-" 693265 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-317 691802 691865 691974 "ESTOOLS2" 692113 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-316 691547 691595 691675 "ESTOOLS1" 691754 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-315 678864 681845 684595 "ESTOOLS" 688817 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 678603 678641 678723 "ESCONT1" 678826 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-313 674911 675738 676518 "ESCONT" 677843 T ESCONT (NIL) -7 NIL NIL NIL) (-312 674580 674636 674736 "ES2" 674855 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-311 674204 674268 674377 "ES1" 674516 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-310 667905 669835 669863 "ES" 672631 T ES (NIL) -9 NIL 674041 NIL) (-309 662582 664139 665956 "ES-" 666120 NIL ES- (NIL T) -8 NIL NIL NIL) (-308 661774 661927 662103 "ERROR" 662426 T ERROR (NIL) -7 NIL NIL NIL) (-307 654790 661633 661724 "EQTBL" 661729 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-306 654416 654479 654588 "EQ2" 654727 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-305 646675 649730 651179 "EQ" 653000 NIL -1506 (NIL T) -8 NIL NIL NIL) (-304 641918 643013 644106 "EP" 645614 NIL EP (NIL T) -7 NIL NIL NIL) (-303 640458 640809 641115 "ENV" 641632 T ENV (NIL) -8 NIL NIL NIL) (-302 639418 640092 640120 "ENTIRER" 640125 T ENTIRER (NIL) -9 NIL 640171 NIL) (-301 635837 637600 637961 "EMR" 639226 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-300 634941 635152 635206 "ELTAGG" 635586 NIL ELTAGG (NIL T T) -9 NIL 635797 NIL) (-299 634648 634722 634863 "ELTAGG-" 634868 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-298 634406 634441 634495 "ELTAB" 634579 NIL ELTAB (NIL T T) -9 NIL 634631 NIL) (-297 633508 633678 633877 "ELFUTS" 634257 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-296 633232 633306 633334 "ELEMFUN" 633439 T ELEMFUN (NIL) -9 NIL NIL NIL) (-295 633096 633123 633191 "ELEMFUN-" 633196 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-294 627507 631138 631179 "ELAGG" 632119 NIL ELAGG (NIL T) -9 NIL 632582 NIL) (-293 625684 626226 626889 "ELAGG-" 626894 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-292 624966 625133 625289 "ELABOR" 625548 T ELABOR (NIL) -8 NIL NIL NIL) (-291 623572 623906 624200 "ELABEXPR" 624692 T ELABEXPR (NIL) -8 NIL NIL NIL) (-290 616084 618209 619038 "EFUPXS" 622847 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-289 609210 611333 612144 "EFULS" 615359 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-288 606647 607053 607525 "EFSTRUC" 608842 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-287 596084 598004 599552 "EF" 605162 NIL EF (NIL T T) -7 NIL NIL NIL) (-286 595062 595569 595718 "EAB" 595955 T EAB (NIL) -8 NIL NIL NIL) (-285 594184 595021 595049 "E04UCFA" 595054 T E04UCFA (NIL) -8 NIL NIL NIL) (-284 593306 594143 594171 "E04NAFA" 594176 T E04NAFA (NIL) -8 NIL NIL NIL) (-283 592428 593265 593293 "E04MBFA" 593298 T E04MBFA (NIL) -8 NIL NIL NIL) (-282 591550 592387 592415 "E04JAFA" 592420 T E04JAFA (NIL) -8 NIL NIL NIL) (-281 590674 591509 591537 "E04GCFA" 591542 T E04GCFA (NIL) -8 NIL NIL NIL) (-280 589798 590633 590661 "E04FDFA" 590666 T E04FDFA (NIL) -8 NIL NIL NIL) (-279 588920 589757 589785 "E04DGFA" 589790 T E04DGFA (NIL) -8 NIL NIL NIL) (-278 582997 584445 585809 "E04AGNT" 587576 T E04AGNT (NIL) -7 NIL NIL NIL) (-277 581617 582298 582338 "DVARCAT" 582679 NIL DVARCAT (NIL T) -9 NIL 582842 NIL) (-276 580767 581033 581347 "DVARCAT-" 581352 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-275 572728 580566 580695 "DSMP" 580700 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-274 571079 571870 571911 "DSEXT" 572274 NIL DSEXT (NIL T) -9 NIL 572568 NIL) (-273 569268 569792 570458 "DSEXT-" 570463 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-272 568927 568992 569090 "DROPT1" 569203 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-271 563946 565168 566305 "DROPT0" 567810 T DROPT0 (NIL) -7 NIL NIL NIL) (-270 558529 559891 560959 "DROPT" 562898 T DROPT (NIL) -8 NIL NIL NIL) (-269 556838 557199 557585 "DRAWPT" 558163 T DRAWPT (NIL) -7 NIL NIL NIL) (-268 556465 556524 556642 "DRAWHACK" 556779 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-267 555166 555465 555756 "DRAWCX" 556194 T DRAWCX (NIL) -7 NIL NIL NIL) (-266 554675 554750 554901 "DRAWCURV" 555092 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-265 544993 547105 549220 "DRAWCFUN" 552580 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-264 539484 540503 541582 "DRAW" 543967 NIL DRAW (NIL T) -7 NIL NIL NIL) (-263 535955 538149 538190 "DQAGG" 538819 NIL DQAGG (NIL T) -9 NIL 539093 NIL) (-262 522531 530166 530249 "DPOLCAT" 532101 NIL DPOLCAT (NIL T T T T) -9 NIL 532646 NIL) (-261 517050 518716 520674 "DPOLCAT-" 520679 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-260 509907 516911 517009 "DPMO" 517014 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-259 502661 509687 509854 "DPMM" 509859 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-258 502183 502445 502534 "DOMTMPLT" 502592 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-257 501532 501985 502065 "DOMCTOR" 502123 T DOMCTOR (NIL) -8 NIL NIL NIL) (-256 500684 501012 501163 "DOMAIN" 501401 T DOMAIN (NIL) -8 NIL NIL NIL) (-255 493696 500319 500471 "DMP" 500585 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-254 491473 492763 492804 "DMEXT" 492809 NIL DMEXT (NIL T) -9 NIL 492985 NIL) (-253 491067 491129 491273 "DLP" 491411 NIL DLP (NIL T) -7 NIL NIL NIL) (-252 484190 490394 490584 "DLIST" 490909 NIL DLIST (NIL T) -8 NIL NIL NIL) (-251 480728 483015 483056 "DLAGG" 483606 NIL DLAGG (NIL T) -9 NIL 483836 NIL) (-250 479240 480054 480082 "DIVRING" 480174 T DIVRING (NIL) -9 NIL 480257 NIL) (-249 478423 478667 478967 "DIVRING-" 478972 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-248 476465 476882 477288 "DISPLAY" 478037 T DISPLAY (NIL) -7 NIL NIL NIL) (-247 475295 475516 475781 "DIRPROD2" 476258 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-246 468702 475209 475272 "DIRPROD" 475277 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 456914 463413 463466 "DIRPCAT" 463724 NIL DIRPCAT (NIL NIL T) -9 NIL 464599 NIL) (-244 454114 454882 455763 "DIRPCAT-" 456100 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-243 453395 453561 453747 "DIOSP" 453948 T DIOSP (NIL) -7 NIL NIL NIL) (-242 449809 452279 452320 "DIOPS" 452754 NIL DIOPS (NIL T) -9 NIL 452983 NIL) (-241 449328 449472 449663 "DIOPS-" 449668 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-240 448235 449007 449035 "DIFRING" 449040 T DIFRING (NIL) -9 NIL 449062 NIL) (-239 447883 447981 448009 "DIFFSPC" 448128 T DIFFSPC (NIL) -9 NIL 448203 NIL) (-238 447504 447606 447758 "DIFFSPC-" 447763 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-237 446440 447038 447079 "DIFFMOD" 447084 NIL DIFFMOD (NIL T) -9 NIL 447182 NIL) (-236 446136 446193 446234 "DIFFDOM" 446355 NIL DIFFDOM (NIL T) -9 NIL 446423 NIL) (-235 445983 446013 446097 "DIFFDOM-" 446102 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-234 443723 445187 445228 "DIFEXT" 445233 NIL DIFEXT (NIL T) -9 NIL 445386 NIL) (-233 440757 443227 443268 "DIAGG" 443273 NIL DIAGG (NIL T) -9 NIL 443293 NIL) (-232 440105 440298 440550 "DIAGG-" 440555 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-231 434955 439064 439341 "DHMATRIX" 439874 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-230 430423 431476 432486 "DFSFUN" 433965 T DFSFUN (NIL) -7 NIL NIL NIL) (-229 424664 429354 429666 "DFLOAT" 430131 T DFLOAT (NIL) -8 NIL NIL NIL) (-228 422903 423208 423597 "DFINTTLS" 424372 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-227 419722 420924 421324 "DERHAM" 422569 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-226 417258 419497 419586 "DEQUEUE" 419666 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-225 416500 416645 416828 "DEGRED" 417120 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-224 412906 413675 414521 "DEFINTRF" 415728 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-223 410443 410930 411522 "DEFINTEF" 412425 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-222 409727 410063 410178 "DEFAST" 410348 T DEFAST (NIL) -8 NIL NIL NIL) (-221 402770 409320 409470 "DECIMAL" 409597 T DECIMAL (NIL) -8 NIL NIL NIL) (-220 400228 400740 401246 "DDFACT" 402314 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-219 399818 399867 400018 "DBLRESP" 400179 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-218 399019 399588 399679 "DBASIS" 399767 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-217 396803 397249 397610 "DBASE" 398785 NIL DBASE (NIL T) -8 NIL NIL NIL) (-216 395991 396283 396429 "DATAARY" 396702 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-215 395049 395950 395978 "D03FAFA" 395983 T D03FAFA (NIL) -8 NIL NIL NIL) (-214 394108 395008 395036 "D03EEFA" 395041 T D03EEFA (NIL) -8 NIL NIL NIL) (-213 392034 392524 393013 "D03AGNT" 393639 T D03AGNT (NIL) -7 NIL NIL NIL) (-212 391275 391993 392021 "D02EJFA" 392026 T D02EJFA (NIL) -8 NIL NIL NIL) (-211 390516 391234 391262 "D02CJFA" 391267 T D02CJFA (NIL) -8 NIL NIL NIL) (-210 389757 390475 390503 "D02BHFA" 390508 T D02BHFA (NIL) -8 NIL NIL NIL) (-209 388998 389716 389744 "D02BBFA" 389749 T D02BBFA (NIL) -8 NIL NIL NIL) (-208 382129 383784 385390 "D02AGNT" 387412 T D02AGNT (NIL) -7 NIL NIL NIL) (-207 379879 380420 380966 "D01WGTS" 381603 T D01WGTS (NIL) -7 NIL NIL NIL) (-206 378886 379838 379866 "D01TRNS" 379871 T D01TRNS (NIL) -8 NIL NIL NIL) (-205 377894 378845 378873 "D01GBFA" 378878 T D01GBFA (NIL) -8 NIL NIL NIL) (-204 376902 377853 377881 "D01FCFA" 377886 T D01FCFA (NIL) -8 NIL NIL NIL) (-203 375910 376861 376889 "D01ASFA" 376894 T D01ASFA (NIL) -8 NIL NIL NIL) (-202 374918 375869 375897 "D01AQFA" 375902 T D01AQFA (NIL) -8 NIL NIL NIL) (-201 373926 374877 374905 "D01APFA" 374910 T D01APFA (NIL) -8 NIL NIL NIL) (-200 372934 373885 373913 "D01ANFA" 373918 T D01ANFA (NIL) -8 NIL NIL NIL) (-199 371942 372893 372921 "D01AMFA" 372926 T D01AMFA (NIL) -8 NIL NIL NIL) (-198 370950 371901 371929 "D01ALFA" 371934 T D01ALFA (NIL) -8 NIL NIL NIL) (-197 369958 370909 370937 "D01AKFA" 370942 T D01AKFA (NIL) -8 NIL NIL NIL) (-196 368966 369917 369945 "D01AJFA" 369950 T D01AJFA (NIL) -8 NIL NIL NIL) (-195 362189 363814 365375 "D01AGNT" 367425 T D01AGNT (NIL) -7 NIL NIL NIL) (-194 361508 361654 361806 "CYCLOTOM" 362057 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-193 358163 358956 359683 "CYCLES" 360801 T CYCLES (NIL) -7 NIL NIL NIL) (-192 357463 357609 357780 "CVMP" 358024 NIL CVMP (NIL T) -7 NIL NIL NIL) (-191 355250 355562 355931 "CTRIGMNP" 357191 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-190 354723 354981 355082 "CTORKIND" 355169 T CTORKIND (NIL) -8 NIL NIL NIL) (-189 353928 354316 354344 "CTORCAT" 354526 T CTORCAT (NIL) -9 NIL 354639 NIL) (-188 353502 353637 353796 "CTORCAT-" 353801 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-187 352916 353176 353284 "CTORCALL" 353426 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-186 352274 352710 352783 "CTOR" 352863 T CTOR (NIL) -8 NIL NIL NIL) (-185 351630 351747 351900 "CSTTOOLS" 352171 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-184 347327 348086 348844 "CRFP" 350942 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-183 346742 347048 347140 "CRCEAST" 347255 T CRCEAST (NIL) -8 NIL NIL NIL) (-182 345765 345974 346202 "CRAPACK" 346546 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-181 345145 345250 345454 "CPMATCH" 345641 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-180 344864 344898 345004 "CPIMA" 345111 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-179 341122 341884 342603 "COORDSYS" 344199 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-178 340510 340655 340797 "CONTOUR" 341000 T CONTOUR (NIL) -8 NIL NIL NIL) (-177 335982 338513 339005 "CONTFRAC" 340050 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-176 335856 335883 335911 "CONDUIT" 335948 T CONDUIT (NIL) -9 NIL NIL NIL) (-175 334810 335484 335512 "COMRING" 335517 T COMRING (NIL) -9 NIL 335569 NIL) (-174 333792 334168 334352 "COMPPROP" 334646 T COMPPROP (NIL) -8 NIL NIL NIL) (-173 333447 333488 333616 "COMPLPAT" 333751 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-172 333077 333140 333247 "COMPLEX2" 333384 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-171 321467 332886 332995 "COMPLEX" 333000 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320788 320927 321087 "COMPILER" 321327 T COMPILER (NIL) -8 NIL NIL NIL) (-169 320500 320541 320639 "COMPFACT" 320747 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-168 301880 314204 314244 "COMPCAT" 315248 NIL COMPCAT (NIL T) -9 NIL 316596 NIL) (-167 290768 294319 297946 "COMPCAT-" 298302 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-166 290491 290525 290628 "COMMUPC" 290734 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-165 290279 290319 290378 "COMMONOP" 290452 T COMMONOP (NIL) -7 NIL NIL NIL) (-164 289801 290083 290158 "COMMAAST" 290224 T COMMAAST (NIL) -8 NIL NIL NIL) (-163 289308 289552 289639 "COMM" 289734 T COMM (NIL) -8 NIL NIL NIL) (-162 288503 288751 288779 "COMBOPC" 289117 T COMBOPC (NIL) -9 NIL 289292 NIL) (-161 287357 287609 287851 "COMBINAT" 288293 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-160 283700 284388 285015 "COMBF" 286779 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-159 282362 282816 283051 "COLOR" 283485 T COLOR (NIL) -8 NIL NIL NIL) (-158 281778 282083 282175 "COLONAST" 282290 T COLONAST (NIL) -8 NIL NIL NIL) (-157 281412 281465 281590 "CMPLXRT" 281725 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-156 280800 281112 281211 "CLLCTAST" 281333 T CLLCTAST (NIL) -8 NIL NIL NIL) (-155 276259 277330 278410 "CLIP" 279740 T CLIP (NIL) -7 NIL NIL NIL) (-154 274432 275360 275600 "CLIF" 276086 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-153 270414 272550 272591 "CLAGG" 273520 NIL CLAGG (NIL T) -9 NIL 274056 NIL) (-152 268758 269293 269876 "CLAGG-" 269881 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-151 268296 268387 268527 "CINTSLPE" 268667 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-150 265761 266268 266816 "CHVAR" 267824 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-149 264801 265475 265503 "CHARZ" 265508 T CHARZ (NIL) -9 NIL 265523 NIL) (-148 264549 264595 264673 "CHARPOL" 264755 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-147 263467 264180 264208 "CHARNZ" 264255 T CHARNZ (NIL) -9 NIL 264311 NIL) (-146 260411 261521 262050 "CHAR" 262958 T CHAR (NIL) -8 NIL NIL NIL) (-145 260119 260198 260226 "CFCAT" 260337 T CFCAT (NIL) -9 NIL NIL NIL) (-144 259342 259471 259654 "CDEN" 260003 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-143 254939 258495 258775 "CCLASS" 259082 T CCLASS (NIL) -8 NIL NIL NIL) (-142 254160 254347 254524 "CATEGORY" 254782 T -10 (NIL) -8 NIL NIL NIL) (-141 253655 254079 254127 "CATCTOR" 254132 T CATCTOR (NIL) -8 NIL NIL NIL) (-140 253046 253358 253456 "CATAST" 253577 T CATAST (NIL) -8 NIL NIL NIL) (-139 252462 252767 252859 "CASEAST" 252974 T CASEAST (NIL) -8 NIL NIL NIL) (-138 251558 251718 251939 "CARTEN2" 252309 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-137 246456 247715 248459 "CARTEN" 250870 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 244586 245606 245863 "CARD" 246219 T CARD (NIL) -8 NIL NIL NIL) (-135 244108 244390 244465 "CAPSLAST" 244531 T CAPSLAST (NIL) -8 NIL NIL NIL) (-134 243550 243806 243834 "CACHSET" 243966 T CACHSET (NIL) -9 NIL 244044 NIL) (-133 242940 243328 243356 "CABMON" 243406 T CABMON (NIL) -9 NIL 243462 NIL) (-132 242377 242644 242754 "BYTEORD" 242850 T BYTEORD (NIL) -8 NIL NIL NIL) (-131 237304 241882 242054 "BYTEBUF" 242225 T BYTEBUF (NIL) -8 NIL NIL NIL) (-130 236062 236819 236968 "BYTE" 237131 T BYTE (NIL) -8 NIL NIL 237260) (-129 233324 235754 235861 "BTREE" 235988 NIL BTREE (NIL T) -8 NIL NIL NIL) (-128 230526 232972 233094 "BTOURN" 233234 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-127 227633 229968 230009 "BTCAT" 230077 NIL BTCAT (NIL T) -9 NIL 230154 NIL) (-126 227282 227380 227529 "BTCAT-" 227534 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-125 222171 226528 226556 "BTAGG" 226670 T BTAGG (NIL) -9 NIL 226780 NIL) (-124 221625 221786 221992 "BTAGG-" 221997 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-123 218361 220903 221118 "BSTREE" 221442 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-122 217469 217625 217809 "BRILL" 218217 NIL BRILL (NIL T) -7 NIL NIL NIL) (-121 213864 216167 216208 "BRAGG" 216857 NIL BRAGG (NIL T) -9 NIL 217115 NIL) (-120 212297 212799 213354 "BRAGG-" 213359 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-119 204540 211641 211826 "BPADICRT" 212144 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-118 202556 204477 204522 "BPADIC" 204527 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-117 202248 202284 202398 "BOUNDZRO" 202520 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-116 199975 200433 200908 "BOP1" 201806 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-115 194957 196401 197313 "BOP" 199083 T BOP (NIL) -8 NIL NIL NIL) (-114 193622 194545 194687 "BOOLEAN" 194835 T BOOLEAN (NIL) -8 NIL NIL NIL) (-113 193215 193372 193400 "BOOLE" 193511 T BOOLE (NIL) -9 NIL 193592 NIL) (-112 193083 193110 193176 "BOOLE-" 193181 NIL BOOLE- (NIL T) -8 NIL NIL NIL) (-111 192252 192752 192806 "BMODULE" 192811 NIL BMODULE (NIL T T) -9 NIL 192876 NIL) (-110 187573 192050 192123 "BITS" 192199 T BITS (NIL) -8 NIL NIL NIL) (-109 186970 187113 187253 "BINDING" 187453 T BINDING (NIL) -8 NIL NIL NIL) (-108 180016 186565 186714 "BINARY" 186841 T BINARY (NIL) -8 NIL NIL NIL) (-107 177623 179243 179284 "BGAGG" 179544 NIL BGAGG (NIL T) -9 NIL 179681 NIL) (-106 177448 177486 177577 "BGAGG-" 177582 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176471 176832 177037 "BFUNCT" 177263 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175141 175339 175627 "BEZOUT" 176295 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171339 173993 174323 "BBTREE" 174844 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170922 171018 171046 "BASTYPE" 171223 T BASTYPE (NIL) -9 NIL 171322 NIL) (-101 170580 170679 170814 "BASTYPE-" 170819 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 170002 170090 170242 "BALFACT" 170491 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168738 169417 169603 "AUTOMOR" 169847 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168464 168469 168495 "ATTREG" 168500 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166626 167161 167513 "ATTRBUT" 168130 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166180 166454 166520 "ATTRAST" 166578 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165680 165829 165855 "ATRIG" 166056 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165477 165530 165617 "ATRIG-" 165622 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165060 165294 165320 "ASTCAT" 165325 T ASTCAT (NIL) -9 NIL 165355 NIL) (-92 164769 164846 164965 "ASTCAT-" 164970 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162743 164545 164633 "ASTACK" 164712 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161232 161545 161910 "ASSOCEQ" 162425 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160156 160891 161015 "ASP9" 161139 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 158916 159761 159903 "ASP80" 160045 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-87 158643 158864 158903 "ASP8" 158908 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-86 157489 158320 158438 "ASP78" 158556 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-85 156350 157169 157286 "ASP77" 157403 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-84 155154 155988 156119 "ASP74" 156250 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-83 153946 154789 154921 "ASP73" 155053 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-82 152736 153581 153713 "ASP7" 153845 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-81 151732 152562 152662 "ASP6" 152667 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150571 151409 151527 "ASP55" 151645 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149412 150245 150364 "ASP50" 150483 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148392 149113 149223 "ASP49" 149333 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-77 147068 147931 148099 "ASP42" 148281 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-76 145737 146601 146771 "ASP41" 146955 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144717 145438 145548 "ASP4" 145658 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-74 143559 144394 144512 "ASP35" 144630 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143288 143507 143546 "ASP34" 143551 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 143007 143092 143168 "ASP33" 143243 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141793 142642 142774 "ASP31" 142906 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141522 141741 141780 "ASP30" 141785 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141239 141326 141402 "ASP29" 141477 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140968 141187 141226 "ASP28" 141231 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140697 140916 140955 "ASP27" 140960 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139673 140395 140506 "ASP24" 140617 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138642 139475 139587 "ASP20" 139592 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137477 138316 138435 "ASP19" 138554 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-63 137196 137281 137357 "ASP12" 137432 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-62 135940 136795 136939 "ASP10" 137083 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-61 134920 135641 135751 "ASP1" 135861 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-60 132532 134764 134855 "ARRAY2" 134860 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 131546 131737 131958 "ARRAY12" 132355 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-58 126906 131194 131308 "ARRAY1" 131463 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-57 120951 123108 123183 "ARR2CAT" 125813 NIL ARR2CAT (NIL T T T) -9 NIL 126571 NIL) (-56 118241 119129 120083 "ARR2CAT-" 120088 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117492 117868 117993 "ARITY" 118134 T ARITY (NIL) -8 NIL NIL NIL) (-54 116250 116420 116719 "APPRULE" 117328 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115895 115949 116068 "APPLYORE" 116196 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115149 115296 115453 "ANY1" 115769 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-51 114449 114742 114862 "ANY" 115047 T ANY (NIL) -8 NIL NIL NIL) (-50 111775 112886 113213 "ANTISYM" 114173 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111219 111482 111578 "ANON" 111697 T ANON (NIL) -8 NIL NIL NIL) (-48 104382 109758 110212 "AN" 110783 T AN (NIL) -8 NIL NIL NIL) (-47 100038 101654 101705 "AMR" 102453 NIL AMR (NIL T T) -9 NIL 103053 NIL) (-46 99090 99371 99734 "AMR-" 99739 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82559 99007 99068 "ALIST" 99073 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78856 82153 82322 "ALGSC" 82477 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75306 75966 76573 "ALGPKG" 78296 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74571 74684 74868 "ALGMFACT" 75192 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70554 71185 71779 "ALGMANIP" 74155 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59900 70180 70330 "ALGFF" 70487 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59072 59227 59406 "ALGFACT" 59758 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57861 58599 58637 "ALGEBRA" 58642 NIL ALGEBRA (NIL T) -9 NIL 58683 NIL) (-37 57561 57638 57770 "ALGEBRA-" 57775 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38515 55398 55450 "ALAGG" 55586 NIL ALAGG (NIL T T) -9 NIL 55747 NIL) (-35 38015 38164 38190 "AHYP" 38391 T AHYP (NIL) -9 NIL NIL NIL) (-34 36900 37194 37220 "AGG" 37719 T AGG (NIL) -9 NIL 37998 NIL) (-33 36298 36496 36710 "AGG-" 36715 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34058 34527 34932 "AF" 35940 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33478 33783 33873 "ADDAST" 33986 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32710 33005 33161 "ACPLOT" 33340 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20267 29642 29680 "ACFS" 30287 NIL ACFS (NIL T) -9 NIL 30526 NIL) (-28 18174 18784 19546 "ACFS-" 19551 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13882 16207 16233 "ACF" 17112 T ACF (NIL) -9 NIL 17525 NIL) (-26 12514 12920 13413 "ACF-" 13418 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12024 12267 12293 "ABELSG" 12385 T ABELSG (NIL) -9 NIL 12450 NIL) (-24 11885 11916 11982 "ABELSG-" 11987 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11154 11501 11527 "ABELMON" 11697 T ABELMON (NIL) -9 NIL 11809 NIL) (-22 10794 10902 11040 "ABELMON-" 11045 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10044 10500 10526 "ABELGRP" 10598 T ABELGRP (NIL) -9 NIL 10673 NIL) (-20 9471 9636 9852 "ABELGRP-" 9857 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8733 8772 "A1AGG" 8777 NIL A1AGG (NIL T) -9 NIL 8817 NIL) (-18 30 1497 3059 "A1AGG-" 3064 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase index 9e459220..d40d1d24 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,86 +1,104 @@ -(733360 . 3508548019) -(((*1 *2 *1) - (-12 - (-5 *2 - (-663 - (-663 - (-3 (|:| -3955 (-1208)) - (|:| -1957 (-663 (-3 (|:| S (-1208)) (|:| P (-975 (-560)))))))))) - (-5 *1 (-1212))))) -(((*1 *2 *1) - (-12 (-4 *1 (-708 *3 *4 *5)) (-4 *3 (-1080)) (-4 *4 (-385 *3)) - (-4 *5 (-385 *3)) (-5 *2 (-114)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1084 *3 *4 *5 *6 *7)) (-4 *5 (-1080)) - (-4 *6 (-245 *4 *5)) (-4 *7 (-245 *3 *5)) (-5 *2 (-114))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-663 *7)) (-4 *7 (-1096 *4 *5 *6)) (-4 *4 (-466)) - (-4 *5 (-815)) (-4 *6 (-871)) (-5 *2 (-114)) - (-5 *1 (-1019 *4 *5 *6 *7 *8)) (-4 *8 (-1102 *4 *5 *6 *7)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-663 *7)) (-4 *7 (-1096 *4 *5 *6)) (-4 *4 (-466)) - (-4 *5 (-815)) (-4 *6 (-871)) (-5 *2 (-114)) - (-5 *1 (-1138 *4 *5 *6 *7 *8)) (-4 *8 (-1102 *4 *5 *6 *7))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-663 (-326 (-229)))) (-5 *4 (-793)) - (-5 *2 (-711 (-229))) (-5 *1 (-278))))) -(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) - (-5 *1 (-774))))) -(((*1 *2 *2 *2 *3) - (-12 (-5 *3 (-793)) (-4 *4 (-13 (-1080) (-739 (-421 (-560))))) - (-4 *5 (-871)) (-5 *1 (-1315 *4 *5 *2)) (-4 *2 (-1321 *5 *4))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-571)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -2505 *3))) - (-5 *1 (-1000 *4 *3)) (-4 *3 (-1274 *4))))) +(733377 . 3508691458) +(((*1 *2) (-12 (-5 *2 (-1304)) (-5 *1 (-825))))) (((*1 *2 *3) - (-12 (-5 *3 (-663 (-2 (|:| -3932 *4) (|:| -3286 (-560))))) - (-4 *4 (-1132)) (-5 *2 (-1 *4)) (-5 *1 (-1048 *4))))) + (-12 (-5 *3 (-663 (-2 (|:| |deg| (-793)) (|:| -4157 *5)))) + (-4 *5 (-1274 *4)) (-4 *4 (-363)) (-5 *2 (-663 *5)) + (-5 *1 (-220 *4 *5)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-663 (-2 (|:| -3444 *5) (|:| -2481 (-560))))) + (-5 *4 (-560)) (-4 *5 (-1274 *4)) (-5 *2 (-663 *5)) + (-5 *1 (-718 *5))))) +(((*1 *2 *3) + (|partial| -12 (-5 *3 (-711 *1)) (-4 *1 (-363)) (-5 *2 (-1298 *1)))) + ((*1 *2 *3) + (|partial| -12 (-5 *3 (-711 *1)) (-4 *1 (-147)) (-4 *1 (-939)) + (-5 *2 (-1298 *1))))) +(((*1 *2 *1 *1 *1) + (|partial| -12 (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1))) + (-4 *1 (-319)))) + ((*1 *2 *1 *1) + (-12 (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -3244 *1))) + (-4 *1 (-319))))) +(((*1 *2 *2) (-12 (-5 *2 (-114)) (-5 *1 (-956))))) +(((*1 *2 *3 *4 *4 *4 *3 *4 *3) + (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) + (-5 *1 (-773))))) (((*1 *1 *2 *3) (-12 (-5 *2 (-115)) (-5 *3 (-663 *1)) (-4 *1 (-310)))) ((*1 *1 *2 *1) (-12 (-4 *1 (-310)) (-5 *2 (-115)))) ((*1 *1 *2) (-12 (-5 *2 (-1208)) (-5 *1 (-630 *3)) (-4 *3 (-1132)))) ((*1 *1 *2 *3 *4) (-12 (-5 *2 (-115)) (-5 *3 (-663 *5)) (-5 *4 (-793)) (-4 *5 (-1132)) (-5 *1 (-630 *5))))) -(((*1 *2 *3 *3) (-12 (-5 *3 (-1190)) (-5 *2 (-323)) (-5 *1 (-851))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-611))) (-5 *1 (-611))))) -(((*1 *2 *2 *2) - (-12 (-4 *3 (-376)) (-5 *1 (-788 *2 *3)) (-4 *2 (-730 *3)))) - ((*1 *1 *1 *1) (-12 (-4 *1 (-876 *2)) (-4 *2 (-1080)) (-4 *2 (-376))))) -(((*1 *2 *3 *3 *3 *3 *4 *3 *3 *3 *3 *3 *3 *5 *5 *4 *3 *6 *7) - (-12 (-5 *3 (-560)) (-5 *5 (-711 (-229))) - (-5 *6 (-3 (|:| |fn| (-402)) (|:| |fp| (-76 FCN JACOBF JACEPS)))) - (-5 *7 (-3 (|:| |fn| (-402)) (|:| |fp| (-77 G JACOBG JACGEP)))) - (-5 *4 (-229)) (-5 *2 (-1066)) (-5 *1 (-771))))) (((*1 *2 *3) - (|partial| -12 (-5 *3 (-1298 *4)) (-4 *4 (-13 (-1080) (-660 (-560)))) - (-5 *2 (-1298 (-560))) (-5 *1 (-1327 *4))))) + (-12 (-4 *4 (-571)) (-4 *5 (-815)) (-4 *6 (-871)) + (-4 *7 (-1096 *4 *5 *6)) + (-5 *2 (-2 (|:| |goodPols| (-663 *7)) (|:| |badPols| (-663 *7)))) + (-5 *1 (-1008 *4 *5 *6 *7)) (-5 *3 (-663 *7))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-1253)) (-4 *5 (-1274 *4)) + (-5 *2 + (-2 (|:| |func| *3) (|:| |poly| *3) (|:| |c1| (-421 *5)) + (|:| |c2| (-421 *5)) (|:| |deg| (-793)))) + (-5 *1 (-150 *4 *5 *3)) (-4 *3 (-1274 (-421 *5)))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-663 (-888 *5))) (-14 *5 (-663 (-1208))) (-4 *6 (-466)) + (-5 *2 (-663 (-663 (-255 *5 *6)))) (-5 *1 (-485 *5 *6 *7)) + (-5 *3 (-663 (-255 *5 *6))) (-4 *7 (-466))))) (((*1 *2 *2) - (-12 (-4 *3 (-466)) (-5 *1 (-1240 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1234)))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1102 *3 *4 *5 *6)) (-4 *3 (-466)) (-4 *4 (-815)) - (-4 *5 (-871)) (-4 *6 (-1096 *3 *4 *5)) (-5 *2 (-114)))) - ((*1 *2 *3 *1) - (-12 (-4 *1 (-1102 *4 *5 *6 *3)) (-4 *4 (-466)) (-4 *5 (-815)) - (-4 *6 (-871)) (-4 *3 (-1096 *4 *5 *6)) (-5 *2 (-114))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1057 (-864 (-560)))) (-5 *1 (-609 *3)) (-4 *3 (-1080))))) -(((*1 *2 *1) (-12 (-5 *2 (-1304)) (-5 *1 (-845))))) + (-12 (-4 *3 (-13 (-466) (-1069 (-560)))) (-4 *3 (-571)) + (-5 *1 (-41 *3 *2)) (-4 *2 (-435 *3)) + (-4 *2 + (-13 (-376) (-310) + (-10 -8 (-15 -4415 ((-1156 *3 (-630 $)) $)) + (-15 -4425 ((-1156 *3 (-630 $)) $)) + (-15 -2584 ($ (-1156 *3 (-630 $)))))))))) +(((*1 *2 *2) + (-12 (-4 *3 (-571)) (-5 *1 (-160 *3 *2)) (-4 *2 (-435 *3))))) +(((*1 *2) (-12 (-5 *2 (-948)) (-5 *1 (-159))))) +(((*1 *2 *1 *1) + (-12 + (-5 *2 + (-2 (|:| -3859 *3) (|:| |coef1| (-803 *3)) (|:| |coef2| (-803 *3)))) + (-5 *1 (-803 *3)) (-4 *3 (-571)) (-4 *3 (-1080))))) +(((*1 *2 *3 *4 *5 *5 *6) + (-12 (-5 *3 (-1 (-229) (-229) (-229))) + (-5 *4 (-3 (-1 (-229) (-229) (-229) (-229)) "undefined")) + (-5 *5 (-1120 (-229))) (-5 *6 (-663 (-270))) (-5 *2 (-1164 (-229))) + (-5 *1 (-719))))) +(((*1 *1 *2) + (|partial| -12 (-5 *2 (-841 *3)) (-4 *3 (-871)) (-5 *1 (-694 *3))))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *3 (-1 (-663 *2) *2 *2 *2)) (-4 *2 (-1132)) + (-5 *1 (-103 *2)))) + ((*1 *1 *1 *2 *3) + (-12 (-5 *3 (-1 *2 *2 *2)) (-4 *2 (-1132)) (-5 *1 (-103 *2))))) +(((*1 *2 *3 *4 *4 *5 *6) + (-12 (-5 *3 (-663 (-663 (-972 (-229))))) (-5 *4 (-898)) + (-5 *5 (-948)) (-5 *6 (-663 (-270))) (-5 *2 (-1301)) + (-5 *1 (-1300)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-663 (-663 (-972 (-229))))) (-5 *4 (-663 (-270))) + (-5 *2 (-1301)) (-5 *1 (-1300))))) (((*1 *1 *2) (-12 (-5 *2 (-948)) (-5 *1 (-154 *3 *4 *5)) (-14 *3 *2) (-4 *4 (-376)) (-14 *5 (-1024 *3 *4))))) -(((*1 *2 *3 *1) - (-12 (-4 *4 (-13 (-870) (-376))) (-5 *2 (-114)) (-5 *1 (-1092 *4 *3)) - (-4 *3 (-1274 *4))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1066)) (-5 *1 (-780))))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-663 *7)) (-4 *7 (-1096 *4 *5 *6)) (-4 *4 (-571)) + (-4 *5 (-815)) (-4 *6 (-871)) (-5 *2 (-114)) + (-5 *1 (-1008 *4 *5 *6 *7))))) +(((*1 *1 *2) (-12 (-5 *2 (-663 (-887))) (-5 *1 (-887)))) + ((*1 *1 *1 *1) (-5 *1 (-887)))) (((*1 *1 *1) - (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1080))))) -(((*1 *1) (-5 *1 (-592)))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-887))) (-5 *1 (-1208))))) -(((*1 *1) (-5 *1 (-450)))) + (-12 (-5 *1 (-1196 *2 *3)) (-14 *2 (-948)) (-4 *3 (-1080))))) +(((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-793)) (-4 *5 (-571)) + (-5 *2 + (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3))) + (-5 *1 (-1000 *5 *3)) (-4 *3 (-1274 *5))))) +(((*1 *2) (-12 (-5 *2 (-948)) (-5 *1 (-1303)))) + ((*1 *2 *2) (-12 (-5 *2 (-948)) (-5 *1 (-1303))))) +(((*1 *2 *1) (-12 (-5 *2 (-1304)) (-5 *1 (-845))))) (((*1 *2 *1 *3 *3) (-12 (-5 *3 (-793)) (-4 *1 (-762 *4 *5)) (-4 *4 (-1080)) (-4 *5 (-871)) (-5 *2 (-975 *4)))) @@ -93,121 +111,78 @@ ((*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-4 *1 (-1291 *4)) (-4 *4 (-1080)) (-5 *2 (-975 *4))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1066)) (-5 *1 (-780))))) -(((*1 *1 *2) - (-12 (-5 *2 (-694 *3)) (-4 *3 (-871)) (-4 *1 (-387 *3 *4)) - (-4 *4 (-175))))) -(((*1 *2 *2) - (-12 (-5 *2 (-1298 *4)) (-4 *4 (-432 *3)) (-4 *3 (-319)) - (-4 *3 (-571)) (-5 *1 (-43 *3 *4)))) - ((*1 *2 *3) - (-12 (-5 *3 (-948)) (-4 *4 (-376)) (-5 *2 (-1298 *1)) - (-4 *1 (-341 *4)))) - ((*1 *2) (-12 (-4 *3 (-376)) (-5 *2 (-1298 *1)) (-4 *1 (-341 *3)))) - ((*1 *2) - (-12 (-4 *3 (-175)) (-4 *4 (-1274 *3)) (-5 *2 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(-1304)) (-5 *1 (-1302))))) (((*1 *2) (-12 (-4 *2 (-13 (-435 *3) (-1033))) (-5 *1 (-287 *3 *2)) (-4 *3 (-571)))) @@ -215,14 +190,6 @@ (-12 (-5 *1 (-352 *2 *3 *4)) (-14 *2 (-663 (-1208))) (-14 *3 (-663 (-1208))) (-4 *4 (-401)))) ((*1 *1) (-5 *1 (-491))) ((*1 *1) (-4 *1 (-1234)))) -(((*1 *2 *3 *3 *3 *3 *3 *3 *4 *4 *4 *3 *3 *5 *6 *3 *6 *6 *5 *6 *6 *6 *6 - *5 *3 *3 *3 *3 *3 *6 *6 *6 *3 *3 *3 *3 *3 *7 *4 *4 *4 *4 *3 *8 - *9) - (-12 (-5 *4 (-711 (-229))) (-5 *5 (-114)) (-5 *6 (-229)) - (-5 *7 (-711 (-560))) - (-5 *8 (-3 (|:| |fn| (-402)) (|:| |fp| (-80 CONFUN)))) - (-5 *9 (-3 (|:| |fn| (-402)) (|:| |fp| (-78 OBJFUN)))) - (-5 *3 (-560)) (-5 *2 (-1066)) (-5 *1 (-775))))) (((*1 *1 *2) (-12 (-5 *2 (-1190)) (-5 *1 (-270)))) ((*1 *2 *3 *2) (-12 (-5 *2 (-1190)) (-5 *3 (-663 (-270))) (-5 *1 (-271)))) @@ -235,65 +202,65 @@ (-12 (-4 *3 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560))))))) (-5 *2 (-663 *3)) (-5 *1 (-1159 *4 *3)) (-4 *4 (-1274 *3))))) (((*1 *2 *3) - (-12 (-5 *3 (-3 (|:| |fst| (-448)) (|:| -2612 "void"))) - (-5 *2 (-1304)) (-5 *1 (-1211)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-1208)) - (-5 *4 (-3 (|:| |fst| (-448)) (|:| -2612 "void"))) (-5 *2 (-1304)) - (-5 *1 (-1211)))) - ((*1 *2 *3 *4 *1) - (-12 (-5 *3 (-1208)) - (-5 *4 (-3 (|:| |fst| (-448)) (|:| -2612 "void"))) (-5 *2 (-1304)) - (-5 *1 (-1211))))) -(((*1 *1 *2) (-12 (-5 *2 (-663 *3)) (-4 *3 (-1132)) (-4 *1 (-242 *3)))) - ((*1 *1) (-12 (-4 *1 (-242 *2)) (-4 *2 (-1132))))) -(((*1 *2 *3) - (-12 (-5 *3 (-663 *2)) (-4 *2 (-435 *4)) (-5 *1 (-160 *4 *2)) - (-4 *4 (-571))))) -(((*1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-576)))) - ((*1 *2 *3) - (-12 (-5 *2 (-1202 (-421 (-560)))) (-5 *1 (-971)) (-5 *3 (-560))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-663 *6)) (-4 *6 (-871)) (-4 *4 (-376)) (-4 *5 (-815)) - (-5 *2 - (-2 (|:| |mval| (-711 *4)) (|:| |invmval| (-711 *4)) - (|:| |genIdeal| (-518 *4 *5 *6 *7)))) - (-5 *1 (-518 *4 *5 *6 *7)) (-4 *7 (-979 *4 *5 *6))))) -(((*1 *2 *1) (-12 (-4 *1 (-696 *3)) (-4 *3 (-1248)) (-5 *2 (-793))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-663 (-888 *5))) (-14 *5 (-663 (-1208))) (-4 *6 (-466)) - (-5 *2 - (-2 (|:| |dpolys| (-663 (-255 *5 *6))) - (|:| |coords| (-663 (-560))))) - (-5 *1 (-485 *5 *6 *7)) (-5 *3 (-663 (-255 *5 *6))) (-4 *7 (-466))))) + (-12 (-5 *3 (-1267 *5 *4)) (-4 *4 (-466)) (-4 *4 (-842)) + (-14 *5 (-1208)) (-5 *2 (-560)) (-5 *1 (-1145 *4 *5))))) +(((*1 *2 *3 *3 *3 *3 *3 *3 *3 *3 *4 *5 *5 *5 *5 *5 *5 *6 *6 *6 *3 *3 *5 + *7 *3 *8) + (-12 (-5 *5 (-711 (-229))) (-5 *6 (-114)) (-5 *7 (-711 (-560))) + (-5 *8 (-3 (|:| |fn| (-402)) (|:| |fp| (-65 QPHESS)))) + (-5 *3 (-560)) (-5 *4 (-229)) (-5 *2 (-1066)) (-5 *1 (-775))))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-560)) (-4 *1 (-57 *4 *3 *5)) (-4 *4 (-1248)) + (-4 *3 (-385 *4)) (-4 *5 (-385 *4))))) (((*1 *2 *3) + (-12 (-4 *4 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560))))))) + (-5 *2 (-663 *4)) (-5 *1 (-1159 *3 *4)) (-4 *3 (-1274 *4)))) + ((*1 *2 *3 *3 *3 *3 *3) + (-12 (-4 *3 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560))))))) + (-5 *2 (-663 *3)) (-5 *1 (-1159 *4 *3)) (-4 *4 (-1274 *3))))) +(((*1 *1 *1 *1) + (-12 (-5 *1 (-663 *2)) (-4 *2 (-1132)) (-4 *2 (-1248))))) +(((*1 *2) (-12 - (-5 *3 - (-518 (-421 (-560)) (-246 *5 (-793)) (-888 *4) - (-255 *4 (-421 (-560))))) - (-14 *4 (-663 (-1208))) (-14 *5 (-793)) (-5 *2 (-114)) - (-5 *1 (-519 *4 *5))))) + (-5 *2 (-2 (|:| -4360 (-663 (-1208))) (|:| -1576 (-663 (-1208))))) + (-5 *1 (-1251))))) (((*1 *2 *2 *3) - (-12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) - (-4 *2 (-1096 *4 *5 *6)) (-5 *1 (-798 *4 *5 *6 *2 *3)) - (-4 *3 (-1102 *4 *5 *6 *2))))) -(((*1 *2 *2 *2) (-12 (-5 *2 (-229)) (-5 *1 (-230)))) - ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-229))) (-5 *1 (-230))))) + (-12 (-5 *2 (-1202 *7)) (-5 *3 (-560)) (-4 *7 (-979 *6 *4 *5)) + (-4 *4 (-815)) (-4 *5 (-871)) (-4 *6 (-1080)) + (-5 *1 (-333 *4 *5 *6 *7))))) +(((*1 *1 *1 *1 *1) (-4 *1 (-559)))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-1267 *5 *4)) (-4 *4 (-842)) (-14 *5 (-1208)) + (-5 *2 (-560)) (-5 *1 (-1145 *4 *5))))) +(((*1 *1 *2 *2 *3 *1) + (-12 (-5 *2 (-520)) (-5 *3 (-1134)) (-5 *1 (-303))))) +(((*1 *2 *3 *3 *3 *3 *4 *5 *6 *6 *7 *7 *3) + (-12 (-5 *4 (-663 (-114))) (-5 *5 (-711 (-229))) + (-5 *6 (-711 (-560))) (-5 *7 (-229)) (-5 *3 (-560)) (-5 *2 (-1066)) + (-5 *1 (-776))))) (((*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *2 *5)) (-4 *3 (-1080)) (-4 *4 (-871)) (-4 *5 (-815)) (-4 *2 (-277 *4))))) -(((*1 *1 *2) (-12 (-5 *2 (-793)) (-5 *1 (-136))))) -(((*1 *2 *3) - (-12 (-5 *3 (-663 *7)) (-4 *7 (-979 *4 *5 *6)) (-4 *4 (-466)) - (-4 *5 (-815)) (-4 *6 (-871)) (-5 *2 (-1304)) - (-5 *1 (-464 *4 *5 *6 *7))))) -(((*1 *1 *2 *1) (-12 (-5 *2 (-109)) (-5 *1 (-178))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1135 *3 *4 *5 *6 *7)) (-4 *3 (-1132)) (-4 *4 (-1132)) + (-4 *5 (-1132)) (-4 *6 (-1132)) (-4 *7 (-1132)) (-5 *2 (-114))))) +(((*1 *2 *3 *3 *1) + (-12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) + (-4 *3 (-1096 *4 *5 *6)) (-5 *2 (-3 *3 (-663 *1))) + (-4 *1 (-1102 *4 *5 *6 *3))))) (((*1 *1 *1 *1) (-12 (-5 *1 (-930 *2)) (-4 *2 (-1132)))) ((*1 *1 *2) (-12 (-5 *1 (-930 *2)) (-4 *2 (-1132))))) -(((*1 *2 *1) (-12 (-4 *1 (-541)) (-5 *2 (-713 (-1254)))))) +(((*1 *2 *3) + (-12 (-4 *4 (-571)) (-4 *2 (-13 (-435 (-171 *4)) (-1033) (-1234))) + (-5 *1 (-614 *4 *3 *2)) (-4 *3 (-13 (-435 *4) (-1033) (-1234)))))) (((*1 *2 *1) - (-12 (-4 *1 (-1165 *3)) (-4 *3 (-1080)) - (-5 *2 (-663 (-663 (-663 (-793)))))))) + (-12 (-4 *1 (-1165 *3)) (-4 *3 (-1080)) (-5 *2 (-663 (-972 *3))))) + ((*1 *1 *2) + (-12 (-5 *2 (-663 (-972 *3))) (-4 *3 (-1080)) (-4 *1 (-1165 *3)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-663 (-663 *3))) (-4 *1 (-1165 *3)) (-4 *3 (-1080)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-663 (-972 *3))) (-4 *1 (-1165 *3)) (-4 *3 (-1080))))) (((*1 *2 *1) (-12 (-5 *2 (-1156 (-560) (-630 (-48)))) (-5 *1 (-48)))) ((*1 *2 *1) (-12 (-4 *3 (-1022 *2)) (-4 *4 (-1274 *3)) (-4 *2 (-319)) @@ -309,39 +276,47 @@ (-12 (-4 *4 (-175)) (-4 *2 (|SubsetCategory| (-748) *4)) (-5 *1 (-674 *3 *4 *2)) (-4 *3 (-739 *4)))) ((*1 *2 *1) (-12 (-4 *1 (-1022 *2)) (-4 *2 (-571))))) -(((*1 *2 *2) 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(|:| -1930 *3) (|:| -2769 *3))) (-5 *1 (-877 *5 *3)) + (-4 *3 (-876 *5))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-1 (-114) *4 *4)) (-4 *4 (-1248)) (-5 *1 (-1163 *4 *2)) + (-4 *2 (-13 (-618 (-560) *4) (-10 -7 (-6 -4509) (-6 -4510)))))) + ((*1 *2 *2) + (-12 (-4 *3 (-871)) (-4 *3 (-1248)) (-5 *1 (-1163 *3 *2)) + (-4 *2 (-13 (-618 (-560) *3) (-10 -7 (-6 -4509) (-6 -4510))))))) +(((*1 *1 *2 *3) (-12 (-5 *2 (-1202 *1)) (-5 *3 (-1208)) (-4 *1 (-27)))) + ((*1 *1 *2) (-12 (-5 *2 (-1202 *1)) (-4 *1 (-27)))) + ((*1 *1 *2) (-12 (-5 *2 (-975 *1)) (-4 *1 (-27)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-1208)) (-4 *1 (-29 *3)) (-4 *3 (-571)))) + ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-571))))) +(((*1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-1093)))) + ((*1 *1 *2) (-12 (-5 *2 (-1208)) (-5 *1 (-1093))))) +(((*1 *2 *3 *4 *4 *4 *3) + (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) + (-5 *1 (-773))))) +(((*1 *2 *1) (-12 (-5 *2 (-663 (-663 (-229)))) (-5 *1 (-956))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-663 (-975 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(-1298 *1)) (-4 *1 (-380 *2)) (-4 *2 (-175)))) + ((*1 *2) (-12 (-4 *2 (-175)) (-5 *1 (-431 *3 *2)) (-4 *3 (-432 *2)))) + ((*1 *2) (-12 (-4 *1 (-432 *2)) (-4 *2 (-175))))) +(((*1 *2) (-12 (-5 *2 (-1208)) (-5 *1 (-1211))))) (((*1 *2 *1) (-12 (-5 *2 (-1156 (-560) (-630 (-48)))) (-5 *1 (-48)))) ((*1 *2 *1) (-12 (-4 *3 (-319)) (-4 *4 (-1022 *3)) (-4 *5 (-1274 *4)) @@ -358,32 +333,19 @@ (-12 (-4 *3 (-175)) (-4 *2 (-739 *3)) (-5 *1 (-674 *2 *3 *4)) (-4 *4 (|SubsetCategory| (-748) *3)))) ((*1 *2 *1) (-12 (-4 *1 (-1022 *2)) (-4 *2 (-571))))) -(((*1 *2 *2 *1) - (-12 (-5 *2 (-663 *6)) (-4 *1 (-1007 *3 *4 *5 *6)) (-4 *3 (-1080)) - (-4 *4 (-815)) (-4 *5 (-871)) (-4 *6 (-1096 *3 *4 *5)) - (-4 *3 (-571))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-466)) (-4 *4 (-571)) - (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3362 *4))) - (-5 *1 (-1000 *4 *3)) (-4 *3 (-1274 *4))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-319) (-149))) (-4 *5 (-13 (-871) (-633 (-1208)))) - (-4 *6 (-815)) (-5 *2 (-421 (-975 *4))) (-5 *1 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(-560))))) -(((*1 *2 *1) (-12 (-4 *1 (-403)) (-5 *2 (-1190))))) + (-12 (-5 *3 (-711 (-326 (-229)))) + (-5 *2 + (-2 (|:| |stiffnessFactor| (-391)) (|:| |stabilityFactor| (-391)))) + (-5 *1 (-208))))) (((*1 *2 *3) (-12 (-4 *5 (-13 (-633 *2) (-175))) (-5 *2 (-915 *4)) (-5 *1 (-173 *4 *5 *3)) (-4 *4 (-1132)) (-4 *3 (-168 *5)))) @@ -416,9 +378,9 @@ (-12 (-5 *2 (-975 *3)) (-4 *3 (-1080)) (-4 *1 (-1096 *3 *4 *5)) (-4 *5 (-633 (-1208))) (-4 *4 (-815)) (-4 *5 (-871)))) ((*1 *1 *2) - (-2215 + (-2217 (-12 (-5 *2 (-975 (-560))) (-4 *1 (-1096 *3 *4 *5)) - (-12 (-1372 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560))) + (-12 (-1373 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560))) (-4 *5 (-633 (-1208)))) (-4 *3 (-1080)) (-4 *4 (-815)) (-4 *5 (-871))) (-12 (-5 *2 (-975 (-560))) (-4 *1 (-1096 *3 *4 *5)) @@ -429,12 +391,12 @@ (-4 *3 (-38 (-421 (-560)))) (-4 *5 (-633 (-1208))) (-4 *3 (-1080)) (-4 *4 (-815)) (-4 *5 (-871)))) ((*1 *2 *3) - (-12 (-5 *3 (-2 (|:| |val| (-663 *7)) (|:| -3280 *8))) + (-12 (-5 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|continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| "There are singularities at both end points") + (|:| |notEvaluated| "End point continuity not yet evaluated"))) + (-5 *1 (-195))))) +(((*1 *2 *1) + (-12 (-4 *3 (-1132)) (-4 *4 (-13 (-1080) (-911 *3) (-633 (-915 *3)))) + (-5 *2 (-663 (-1208))) (-5 *1 (-1106 *3 *4 *5)) + (-4 *5 (-13 (-435 *4) (-911 *3) (-633 (-915 *3))))))) +(((*1 *2 *3 *2) + (-12 (-5 *3 (-115)) (-4 *4 (-1080)) (-5 *1 (-736 *4 *2)) + (-4 *2 (-670 *4)))) + ((*1 *2 *3 *2) (-12 (-5 *3 (-115)) (-5 *1 (-856 *2)) (-4 *2 (-1080))))) +(((*1 *2 *1) + (-12 (-5 *2 (-972 *4)) (-5 *1 (-1196 *3 *4)) (-14 *3 (-948)) (-4 *4 (-1080))))) -(((*1 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-648 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1033) (-1234))))) - ((*1 *1 *1) (-4 *1 (-649)))) +(((*1 *2 *2 *3) + (-12 + (-5 *2 + (-2 (|:| |partsol| (-1298 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(-229)) + (|:| -3658 (-1120 (-864 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (-5 *2 (-2 @@ -3837,7 +3734,7 @@ (-3 (|:| |str| (-1186 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) - (|:| -4246 + (|:| -3658 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") @@ -3845,50 +3742,18 @@ "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-574))))) -(((*1 *2 *2) - (-12 (-5 *2 (-114)) (-5 *1 (-456 *3)) (-4 *3 (-1274 (-560)))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-229)) (-5 *1 (-230)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-229))) (-5 *1 (-230)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-571)) (-5 *1 (-445 *3 *2)) (-4 *2 (-435 *3)))) + ((*1 *1 *1 *1) (-4 *1 (-1170)))) (((*1 *2 *3) - (-12 (-5 *3 (-1077 *4 *5)) (-4 *4 (-13 (-870) (-319) (-149) (-1051))) - (-14 *5 (-663 (-1208))) - (-5 *2 - (-663 (-2 (|:| -4048 (-1202 *4)) 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(-663 (-975 *4)))))) - (-5 *1 (-1326 *4 *5 *6)) (-5 *3 (-663 (-975 *4))) - (-14 *5 (-663 (-1208))) (-14 *6 (-663 (-1208)))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-571) (-149))) (-5 *1 (-551 *3 *2)) - (-4 *2 (-1291 *3)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-376) (-381) (-633 (-560)))) (-4 *4 (-1274 *3)) - (-4 *5 (-746 *3 *4)) (-5 *1 (-555 *3 *4 *5 *2)) (-4 *2 (-1291 *5)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-376) (-381) (-633 (-560)))) (-5 *1 (-556 *3 *2)) - (-4 *2 (-1291 *3)))) - ((*1 *2 *2) - (-12 (-5 *2 (-1186 *3)) (-4 *3 (-13 (-571) (-149))) - (-5 *1 (-1185 *3))))) + (-12 + (-5 *3 + (-2 (|:| |stiffness| (-391)) (|:| |stability| (-391)) + (|:| |expense| (-391)) (|:| |accuracy| (-391)) + (|:| |intermediateResults| (-391)))) + (-5 *2 (-1066)) (-5 *1 (-315))))) (((*1 *2 *3) (-12 (-5 *3 (-1208)) (-4 *4 (-13 (-466) (-1069 (-560)) (-660 (-560)))) (-5 *2 (-51)) @@ -3923,29 +3788,51 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-421 (-560))) (-4 *4 (-1080)) (-4 *1 (-1283 *4 *3)) (-4 *3 (-1260 *4))))) -(((*1 *1 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(-229)))) (|:| -2817 (-663 (-229))))) + (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -2177 (-663 (-229))))) (-5 *2 (-663 (-1208))) (-5 *1 (-278)))) ((*1 *2 *3) (-12 (-5 *3 (-1202 *7)) (-4 *7 (-979 *6 *4 *5)) (-4 *4 (-815)) @@ -4424,7 +4318,7 @@ (-5 *1 (-980 *4 *5 *6 *7 *3)) (-4 *3 (-13 (-376) - (-10 -8 (-15 -2582 ($ *7)) (-15 -4416 (*7 $)) (-15 -4425 (*7 $))))))) + (-10 -8 (-15 -2584 ($ *7)) (-15 -4415 (*7 $)) (-15 -4425 (*7 $))))))) ((*1 *2 *1) (-12 (-4 *1 (-1004 *3 *4 *5)) (-4 *3 (-1080)) (-4 *4 (-814)) (-4 *5 (-871)) (-5 *2 (-663 *5)))) @@ -4434,25 +4328,40 @@ ((*1 *2 *3) (-12 (-5 *3 (-421 (-975 *4))) (-4 *4 (-571)) (-5 *2 (-663 (-1208))) (-5 *1 (-1071 *4))))) -(((*1 *2 *1) +(((*1 *2 *3) (-12 (-5 *2 (-663 (-560))) (-5 *1 (-576)) (-5 *3 (-560))))) +(((*1 *2 *2) (-12 (-5 *1 (-704 *2)) (-4 *2 (-1132))))) +(((*1 *1 *2) (-12 (-5 *2 (-948)) (-5 *1 (-270)))) + ((*1 *2 *3 *2) + (-12 (-5 *2 (-948)) (-5 *3 (-663 (-270))) (-5 *1 (-271))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-571)) (-4 *3 (-1080)) 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(-12 (-4 *3 (-1080)) (-5 *2 (-663 *1)) (-4 *1 (-1165 *3))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-663 *3)) (-4 *3 (-1132)) (-5 *1 (-103 *3))))) -(((*1 *2 *1) (-12 (-4 *1 (-1165 *3)) (-4 *3 (-1080)) (-5 *2 (-114))))) -(((*1 *2 *3 *4 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) - (-5 *1 (-769))))) -(((*1 *2 *1) (-12 (-4 *1 (-1041 *3)) (-4 *3 (-1248)) (-5 *2 (-114)))) - ((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-1235 *3)) (-4 *3 (-1132))))) + (-2 (|:| -2506 (-793)) + (|:| |eqns| + (-663 + (-2 (|:| |det| *7) (|:| |rows| (-663 (-560))) + (|:| |cols| (-663 (-560)))))) + (|:| |fgb| (-663 *7))))) + (-4 *7 (-979 *4 *6 *5)) (-4 *4 (-13 (-319) (-149))) + (-4 *5 (-13 (-871) (-633 (-1208)))) (-4 *6 (-815)) (-5 *2 (-793)) + (-5 *1 (-953 *4 *5 *6 *7))))) (((*1 *2 *1) (-12 (-4 *1 (-263 *3)) (-4 *3 (-1248)) (-5 *2 (-793)))) ((*1 *2 *1) (-12 (-4 *1 (-310)) (-5 *2 (-793)))) ((*1 *2 *3) @@ -4462,20 +4371,40 @@ ((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-630 *3)) (-4 *3 (-1132)))) ((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-887)))) ((*1 *2 *1) (-12 (-5 *2 (-560)) (-5 *1 (-887))))) -(((*1 *2 *3 *4 *5 *6) - (|partial| -12 (-5 *4 (-1208)) (-5 *6 (-663 (-630 *3))) - (-5 *5 (-630 *3)) (-4 *3 (-13 (-27) (-1234) (-435 *7))) - (-4 *7 (-13 (-466) (-149) (-1069 (-560)) (-660 (-560)))) - (-5 *2 (-2 (|:| -4334 *3) (|:| |coeff| *3))) - (-5 *1 (-572 *7 *3))))) +(((*1 *2 *3) + (-12 (-5 *3 (-663 (-2 (|:| -3444 (-1202 *6)) (|:| -2692 (-560))))) + (-4 *6 (-319)) (-4 *4 (-815)) (-4 *5 (-871)) (-5 *2 (-560)) + (-5 *1 (-764 *4 *5 *6 *7)) (-4 *7 (-979 *6 *4 *5))))) (((*1 *2 *3) (-12 (-5 *2 (-1 *3 *3)) (-5 *1 (-544 *3)) (-4 *3 (-13 (-748) (-25)))))) -(((*1 *2 *1 *2) - (-12 (-5 *2 (-114)) (-5 *1 (-1244 *3)) (-4 *3 (-1005))))) -(((*1 *2 *3) (-12 (-5 *3 (-948)) (-5 *2 (-1190)) (-5 *1 (-808))))) -(((*1 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1033)))))) +(((*1 *2 *2 *3) + (-12 (-4 *4 (-13 (-376) (-149) (-1069 (-421 (-560))))) + (-4 *3 (-1274 *4)) (-5 *1 (-831 *4 *3 *2 *5)) (-4 *2 (-680 *3)) + (-4 *5 (-680 (-421 *3))))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-421 *5)) + (-4 *4 (-13 (-376) (-149) (-1069 (-421 (-560))))) (-4 *5 (-1274 *4)) + (-5 *1 (-831 *4 *5 *2 *6)) (-4 *2 (-680 *5)) (-4 *6 (-680 *3))))) +(((*1 *2 *3 *1) + (-12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) + (-4 *3 (-1096 *4 *5 *6)) (-5 *2 (-3 (-114) (-663 *1))) + (-4 *1 (-1102 *4 *5 *6 *3))))) +(((*1 *2 *3 *4 *4 *5 *6 *7) + (-12 (-5 *5 (-1208)) + (-5 *6 + (-1 + (-3 + (-2 (|:| |mainpart| *4) + (|:| |limitedlogs| + (-663 (-2 (|:| |coeff| *4) (|:| |logand| *4))))) + "failed") + *4 (-663 *4))) + (-5 *7 + (-1 (-3 (-2 (|:| -2008 *4) (|:| |coeff| *4)) "failed") *4 *4)) + (-4 *4 (-13 (-1234) (-27) (-435 *8))) + (-4 *8 (-13 (-466) (-149) (-1069 *3) (-660 *3))) (-5 *3 (-560)) + (-5 *2 (-2 (|:| |ans| *4) (|:| -1448 *4) (|:| |sol?| (-114)))) + (-5 *1 (-1044 *8 *4))))) (((*1 *2 *3 *4 *2) (-12 (-5 *3 (-1202 (-421 (-1202 *2)))) (-5 *4 (-630 *2)) (-4 *2 (-13 (-435 *5) (-27) (-1234))) @@ -4492,76 +4421,59 @@ (-4 *6 (-1080)) (-4 *2 (-13 (-376) - (-10 -8 (-15 -2582 ($ *7)) (-15 -4416 (*7 $)) (-15 -4425 (*7 $))))) + (-10 -8 (-15 -2584 ($ *7)) (-15 -4415 (*7 $)) (-15 -4425 (*7 $))))) (-5 *1 (-980 *5 *4 *6 *7 *2)) (-4 *7 (-979 *6 *5 *4)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-421 (-1202 (-421 (-975 *5))))) (-5 *4 (-1208)) (-5 *2 (-421 (-975 *5))) (-5 *1 (-1071 *5)) (-4 *5 (-571))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1 *3 *4)) (-5 *1 (-705 *4 *3)) (-4 *4 (-1132)) - (-4 *3 (-1132))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-1014 *2)) (-4 *2 (-1234))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-1202 *9)) (-5 *4 (-663 *7)) (-5 *5 (-663 *8)) + (-4 *7 (-871)) (-4 *8 (-1080)) (-4 *9 (-979 *8 *6 *7)) + (-4 *6 (-815)) (-5 *2 (-1202 *8)) (-5 *1 (-333 *6 *7 *8 *9))))) (((*1 *1 *1 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-310)) (-4 *2 (-1248)))) ((*1 *1 *1 *2 *3) (-12 (-5 *2 (-663 (-630 *1))) (-5 *3 (-663 *1)) (-4 *1 (-310)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-305 *1))) (-4 *1 (-310)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-305 *1)) (-4 *1 (-310))))) -(((*1 *2 *2 *3) - (-12 (-5 *3 (-663 *2)) (-4 *2 (-559)) (-5 *1 (-161 *2))))) -(((*1 *2 *1) - (|partial| -12 (-4 *1 (-168 *3)) (-4 *3 (-175)) (-4 *3 (-559)) - (-5 *2 (-421 (-560))))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-421 (-560))) (-5 *1 (-419 *3)) (-4 *3 (-559)) - (-4 *3 (-571)))) - ((*1 *2 *1) (|partial| -12 (-4 *1 (-559)) (-5 *2 (-421 (-560))))) - ((*1 *2 *1) - (|partial| -12 (-4 *1 (-818 *3)) (-4 *3 (-175)) (-4 *3 (-559)) - (-5 *2 (-421 (-560))))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-421 (-560))) (-5 *1 (-854 *3)) (-4 *3 (-559)) - (-4 *3 (-1132)))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-421 (-560))) (-5 *1 (-864 *3)) (-4 *3 (-559)) - (-4 *3 (-1132)))) - ((*1 *2 *1) - (|partial| -12 (-4 *1 (-1029 *3)) (-4 *3 (-175)) (-4 *3 (-559)) - (-5 *2 (-421 (-560))))) - ((*1 *2 *3) - (|partial| -12 (-5 *2 (-421 (-560))) (-5 *1 (-1039 *3)) - (-4 *3 (-1069 *2))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1066)) (-5 *1 (-780))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-711 *3)) (-4 *3 (-1080)) (-5 *1 (-712 *3))))) -(((*1 *1 *2) - (-12 (-5 *2 (-421 *4)) (-4 *4 (-1274 *3)) (-4 *3 (-13 (-376) (-149))) - (-5 *1 (-413 *3 *4))))) -(((*1 *2 *1) - (-12 (-4 *1 (-338 *3 *4)) (-4 *3 (-1080)) (-4 *4 (-814)) - (-5 *2 (-663 *3)))) - ((*1 *2 *1) - (-12 (-4 *1 (-397 *3 *4)) (-4 *3 (-1080)) (-4 *4 (-1132)) - (-5 *2 (-663 *3)))) - ((*1 *2 *1) - (-12 (-5 *2 (-1186 *3)) (-5 *1 (-610 *3)) (-4 *3 (-1080)))) - ((*1 *2 *1) - (-12 (-5 *2 (-663 *3)) (-5 *1 (-757 *3 *4)) (-4 *3 (-1080)) - (-4 *4 (-748)))) - ((*1 *2 *1) (-12 (-4 *1 (-876 *3)) (-4 *3 (-1080)) (-5 *2 (-663 *3)))) +(((*1 *2 *2 *3 *4) + (|partial| -12 (-5 *3 (-793)) (-4 *4 (-13 (-571) (-149))) + (-5 *1 (-1270 *4 *2)) (-4 *2 (-1274 *4))))) +(((*1 *2 *3 *3) + (|partial| -12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) + (-4 *7 (-1096 *4 *5 *6)) (-5 *2 (-114)) + (-5 *1 (-1019 *4 *5 *6 *7 *3)) (-4 *3 (-1102 *4 *5 *6 *7)))) + ((*1 *2 *3 *3) + (|partial| -12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) + (-4 *7 (-1096 *4 *5 *6)) (-5 *2 (-114)) + (-5 *1 (-1138 *4 *5 *6 *7 *3)) (-4 *3 (-1102 *4 *5 *6 *7))))) +(((*1 *2 *1) (-12 (-5 *2 (-663 (-1166))) (-5 *1 (-693)))) ((*1 *2 *1) - (-12 (-4 *1 (-1291 *3)) (-4 *3 (-1080)) (-5 *2 (-1186 *3))))) -(((*1 *2) - (-12 (-4 *1 (-363)) - (-5 *2 (-3 "prime" "polynomial" "normal" "cyclic"))))) -(((*1 *2 *2 *3) - (-12 (-5 *2 (-663 (-663 (-972 (-229))))) (-5 *3 (-663 (-898))) - (-5 *1 (-482))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1202 (-560))) (-5 *1 (-194)) (-5 *3 (-560)))) - ((*1 *2 *3 *2) (-12 (-5 *3 (-793)) (-5 *1 (-805 *2)) (-4 *2 (-175)))) - ((*1 *2 *3) - (-12 (-5 *2 (-1202 (-560))) (-5 *1 (-971)) (-5 *3 (-560))))) -(((*1 *1 *2) (-12 (-5 *2 (-159)) (-5 *1 (-898))))) + (-12 (-5 *2 (-663 (-948))) (-5 *1 (-1133 *3 *4)) (-14 *3 (-948)) + (-14 *4 (-948))))) +(((*1 *2 *2 *3 *4 *5) + (-12 (-5 *2 (-663 *9)) (-5 *3 (-1 (-114) *9)) + (-5 *4 (-1 (-114) *9 *9)) (-5 *5 (-1 *9 *9 *9)) + (-4 *9 (-1096 *6 *7 *8)) (-4 *6 (-571)) (-4 *7 (-815)) + (-4 *8 (-871)) (-5 *1 (-1008 *6 *7 *8 *9))))) +(((*1 *1 *1 *1 *2) + (-12 (-4 *1 (-1096 *3 *4 *2)) (-4 *3 (-1080)) (-4 *4 (-815)) + (-4 *2 (-871)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1096 *2 *3 *4)) (-4 *2 (-1080)) (-4 *3 (-815)) + (-4 *4 (-871))))) +(((*1 *2 *1) (|partial| -12 (-5 *2 (-630 *1)) (-4 *1 (-310))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-391)) (-5 *2 (-1304)) (-5 *1 (-1302))))) +(((*1 *2 *1) (-12 (-5 *2 (-713 *3)) (-5 *1 (-995 *3)) (-4 *3 (-1132))))) +(((*1 *2 *3 *3 *3 *3 *4 *5) + (-12 (-5 *3 (-229)) (-5 *4 (-560)) + (-5 *5 (-3 (|:| |fn| (-402)) (|:| |fp| (-61 -1633)))) + (-5 *2 (-1066)) (-5 *1 (-768))))) +(((*1 *2 *2) + (-12 (-5 *2 (-1186 *3)) (-4 *3 (-1080)) (-5 *1 (-1192 *3)))) + ((*1 *1 *1) + (-12 (-5 *1 (-1288 *2 *3 *4)) (-4 *2 (-1080)) (-14 *3 (-1208)) + (-14 *4 *2)))) (((*1 *1 *2 *3) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1080)) (-4 *3 (-814)))) ((*1 *1 *2 *3) @@ -4569,10 +4481,10 @@ (-4 *2 (-376)) (-14 *5 (-1024 *4 *2)))) ((*1 *1 *2 *3) (-12 (-5 *3 (-735 *5 *6 *7)) (-4 *5 (-871)) - (-4 *6 (-245 (-2338 *4) (-793))) + (-4 *6 (-245 (-2340 *4) (-793))) (-14 *7 - (-1 (-114) (-2 (|:| -4002 *5) (|:| -2588 *6)) - (-2 (|:| -4002 *5) (|:| -2588 *6)))) + (-1 (-114) (-2 (|:| -4002 *5) (|:| -2692 *6)) + (-2 (|:| -4002 *5) (|:| -2692 *6)))) (-14 *4 (-663 (-1208))) (-4 *2 (-175)) (-5 *1 (-475 *4 *2 *5 *6 *7 *8)) (-4 *8 (-979 *2 *6 (-888 *4))))) ((*1 *1 *2 *3) @@ -4602,31 +4514,13 @@ ((*1 *1 *1 *2 *3) (-12 (-4 *1 (-1004 *4 *3 *2)) (-4 *4 (-1080)) (-4 *3 (-814)) (-4 *2 (-871))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1208)) (-5 *2 (-1 *6 *5)) (-5 *1 (-728 *4 *5 *6)) - (-4 *4 (-633 (-549))) (-4 *5 (-1248)) (-4 *6 (-1248))))) -(((*1 *1 *2) - (-12 - (-5 *2 - (-2 (|:| |mval| (-711 *3)) (|:| |invmval| (-711 *3)) - (|:| |genIdeal| (-518 *3 *4 *5 *6)))) - (-4 *3 (-376)) (-4 *4 (-815)) (-4 *5 (-871)) - (-5 *1 (-518 *3 *4 *5 *6)) (-4 *6 (-979 *3 *4 *5))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-1186 *4)) (-5 *3 (-1 *4 (-560))) (-4 *4 (-1080)) - (-5 *1 (-1192 *4))))) -(((*1 *2 *1) - (-12 (-4 *1 (-385 *3)) (-4 *3 (-1248)) (-4 *3 (-871)) (-5 *2 (-114)))) - ((*1 *2 *3 *1) - (-12 (-5 *3 (-1 (-114) *4 *4)) (-4 *1 (-385 *4)) (-4 *4 (-1248)) - (-5 *2 (-114))))) -(((*1 *2 *3) - (-12 (-5 *3 (-677 (-421 *2))) (-4 *2 (-1274 *4)) (-5 *1 (-832 *4 *2)) - (-4 *4 (-13 (-376) (-149) (-1069 (-560)) (-1069 (-421 (-560))))))) - ((*1 *2 *3) - (-12 (-5 *3 (-678 *2 (-421 *2))) (-4 *2 (-1274 *4)) - (-5 *1 (-832 *4 *2)) - (-4 *4 (-13 (-376) (-149) (-1069 (-560)) (-1069 (-421 (-560)))))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-520)) (-5 *2 (-114)) (-5 *1 (-115))))) +(((*1 *2 *3 *4 *5 *3 *6 *3) + (-12 (-5 *3 (-560)) (-5 *5 (-171 (-229))) (-5 *6 (-1190)) + (-5 *4 (-229)) (-5 *2 (-1066)) (-5 *1 (-780))))) +(((*1 *2 *2) + (-12 (-4 *3 (-571)) (-5 *1 (-445 *3 *2)) (-4 *2 (-435 *3))))) +(((*1 *1 *1) (-5 *1 (-887)))) (((*1 *2 *3 *3) (-12 (-5 *3 (-793)) (-5 *2 (-1298 (-663 (-560)))) (-5 *1 (-494)))) ((*1 *1 *2 *3) @@ -4634,281 +4528,245 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1248)) (-5 *1 (-1186 *3)))) ((*1 *1 *2) (-12 (-5 *2 (-1 *3)) (-4 *3 (-1248)) (-5 *1 (-1186 *3))))) -(((*1 *2 *3) - (-12 (-5 *3 (-560)) (-5 *2 (-663 (-663 (-229)))) (-5 *1 (-1245))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-1 *2 (-663 *2))) (-5 *4 (-663 *5)) + (-4 *5 (-38 (-421 (-560)))) (-4 *2 (-1291 *5)) + (-5 *1 (-1292 *5 *2))))) +(((*1 *2 *3 *4 *4 *3 *3 *3) + (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) + (-5 *1 (-773))))) (((*1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-576))))) -(((*1 *2 *3) - (-12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) (-5 *2 (-560)) - (-5 *1 (-464 *4 *5 *6 *3)) (-4 *3 (-979 *4 *5 *6))))) -(((*1 *1) (-5 *1 (-143)))) -(((*1 *2 *1) - (-12 (-4 *3 (-1132)) (-4 *4 (-13 (-1080) (-911 *3) (-633 (-915 *3)))) - (-5 *2 (-663 (-1208))) (-5 *1 (-1106 *3 *4 *5)) - (-4 *5 (-13 (-435 *4) (-911 *3) (-633 (-915 *3))))))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-876 *2)) (-4 *2 (-1080)) (-4 *2 (-376))))) -(((*1 *2 *1) (-12 (-5 *1 (-943 *2)) (-4 *2 (-319))))) -(((*1 *2 *3) - (-12 (-5 *3 (-948)) (-5 *2 (-1210 (-421 (-560)))) (-5 *1 (-193))))) 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*5))) (-5 *4 (-663 (-1208))) + (-4 *5 (-13 (-376) (-149))) + (-5 *2 + (-2 (|:| -1400 (-663 (-560))) (|:| |poly| (-663 (-1202 *5))) + (|:| |prim| (-1202 *5)))) + (-5 *1 (-990 *5)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-663 (-975 *6))) (-5 *4 (-663 (-1208))) (-5 *5 (-1208)) + (-4 *6 (-13 (-376) (-149))) + (-5 *2 + (-2 (|:| -1400 (-663 (-560))) (|:| |poly| (-663 (-1202 *6))) + (|:| |prim| (-1202 *6)))) + (-5 *1 (-990 *6))))) +(((*1 *1) (-5 *1 (-624)))) (((*1 *2 *3 *4) (-12 (-5 *4 (-663 (-48))) (-5 *2 (-419 *3)) (-5 *1 (-39 *3)) (-4 *3 (-1274 (-48))))) @@ -5354,7 +5241,7 @@ (-4 *4 (-13 (-871) (-10 -8 (-15 -4410 ((-1208) $)) - (-15 -2145 ((-3 $ "failed") (-1208)))))) + (-15 -2144 ((-3 $ "failed") (-1208)))))) (-4 *5 (-815)) (-4 *7 (-571)) (-5 *2 (-419 *3)) (-5 *1 (-470 *4 *5 *6 *7 *3)) (-4 *6 (-571)) (-4 *3 (-979 *7 *5 *4)))) @@ -5404,7 +5291,7 @@ (-4 *5 (-13 (-871) (-10 -8 (-15 -4410 ((-1208) $)) - (-15 -2145 ((-3 $ "failed") (-1208)))))) + (-15 -2144 ((-3 $ "failed") (-1208)))))) (-4 *6 (-319)) (-5 *2 (-419 *3)) (-5 *1 (-752 *4 *5 *6 *3)) (-4 *3 (-979 (-975 *6) *4 *5)))) ((*1 *2 *3) @@ -5445,16 +5332,19 @@ ((*1 *2 *1) (-12 (-5 *2 (-419 *1)) (-4 *1 (-1253)))) ((*1 *2 *3) (-12 (-5 *2 (-419 *3)) (-5 *1 (-1264 *3)) (-4 *3 (-1274 (-560)))))) -(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-174)))) - ((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-1244 *3)) (-4 *3 (-1005))))) -(((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-131))))) +(((*1 *2 *3 *3 *4 *4) + (|partial| -12 (-5 *3 (-793)) (-4 *5 (-376)) (-5 *2 (-177 *6)) + (-5 *1 (-891 *5 *4 *6)) (-4 *4 (-1291 *5)) (-4 *6 (-1274 *5))))) +(((*1 *1) (-5 *1 (-625)))) (((*1 *1 *2 *2) (-12 (-5 *2 (-3 (|:| I (-326 (-560))) (|:| -1633 (-326 (-391))) (|:| CF (-326 (-171 (-391)))) (|:| |switch| (-1207)))) (-5 *1 (-1207))))) -(((*1 *2 *1) (-12 (-5 *2 (-1186 *3)) (-5 *1 (-177 *3)) (-4 *3 (-319))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-448))))) +(((*1 *2 *3 *1) + (-12 (-5 *2 (-663 (-1208))) (-5 *1 (-1211)) (-5 *3 (-1208))))) (((*1 *2 *1) (-12 (-4 *1 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(|:| |fn| (-326 (-229))) - (|:| -4246 (-663 (-1120 (-864 (-229))))) + (|:| -3658 (-663 (-1120 (-864 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))))) (-5 *1 (-791)))) ((*1 *2 *1) @@ -7159,13 +6919,13 @@ (-5 *2 (-3 (|:| |noa| - (-2 (|:| |fn| (-326 (-229))) (|:| -2817 (-663 (-229))) + (-2 (|:| |fn| (-326 (-229))) (|:| -2177 (-663 (-229))) (|:| |lb| (-663 (-864 (-229)))) (|:| |cf| (-663 (-326 (-229)))) (|:| |ub| (-663 (-864 (-229)))))) (|:| |lsa| (-2 (|:| |lfn| (-663 (-326 (-229)))) - (|:| -2817 (-663 (-229))))))) + (|:| -2177 (-663 (-229))))))) (-5 *1 (-863)))) ((*1 *2 *1) (-12 @@ -7184,26 +6944,26 @@ (-4 *4 (-815)) (-4 *5 (-871)) (-4 *1 (-1007 *3 *4 *5 *6)))) ((*1 *2 *1) (-12 (-4 *1 (-1069 *2)) (-4 *2 (-1248)))) ((*1 *1 *2) - (-2215 + (-2217 (-12 (-5 *2 (-975 *3)) - (-12 (-1372 (-4 *3 (-38 (-421 (-560))))) - (-1372 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1208)))) + (-12 (-1373 (-4 *3 (-38 (-421 (-560))))) + (-1373 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1208)))) (-4 *3 (-1080)) (-4 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singularity at the lower end point") - (|:| |upperSingular| - "There is a singularity at the upper end point") - (|:| |bothSingular| - "There are singularities at both end points") - (|:| |notEvaluated| - "End point continuity not yet evaluated"))) - (|:| |singularitiesStream| - (-3 (|:| |str| (-1186 (-229))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -4246 - (-3 (|:| |finite| "The range is finite") - (|:| |lowerInfinite| - "The bottom of range is infinite") - (|:| |upperInfinite| "The top of range is infinite") - (|:| |bothInfinite| - "Both top and bottom points are infinite") - (|:| |notEvaluated| "Range not yet evaluated")))))))) - (-5 *1 (-574)))) - ((*1 *2 *1) - (-12 (-4 *1 (-618 *3 *4)) (-4 *3 (-1132)) (-4 *4 (-1248)) - (-5 *2 (-663 *4))))) + (-663 (-2 (|:| -1433 (-421 (-560))) (|:| -1448 (-421 (-560)))))) + (-5 *1 (-1052 *3)) (-4 *3 (-1274 (-560))))) + ((*1 *2 *3 *4) + (-12 + (-5 *2 + (-663 (-2 (|:| -1433 (-421 (-560))) (|:| -1448 (-421 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(-948)) (-5 *2 (-1202 *4)) (-5 *1 (-369 *4)) (-4 *4 (-363)))) @@ -9023,19 +9026,19 @@ (-12 (-5 *3 (-560)) (-5 *2 (-931 *4)) (-5 *1 (-934 *4)) (-4 *4 (-1132)))) ((*1 *1) (-12 (-4 *1 (-1022 *2)) (-4 *2 (-559)) (-4 *2 (-571))))) -(((*1 *2 *3 *4 *4 *2 *2 *2) - (-12 (-5 *2 (-560)) - (-5 *3 - (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-793)) (|:| |poli| *4) - (|:| |polj| *4))) - (-4 *6 (-815)) (-4 *4 (-979 *5 *6 *7)) (-4 *5 (-466)) (-4 *7 (-871)) - (-5 *1 (-464 *5 *6 *7 *4))))) -(((*1 *2) (-12 (-5 *2 (-114)) (-5 *1 (-1250 *3)) (-4 *3 (-1132))))) -(((*1 *2 *2 *3) - (-12 (-5 *2 (-1 (-972 (-229)) (-229) (-229))) - (-5 *3 (-1 (-229) (-229) (-229) (-229))) (-5 *1 (-265))))) -(((*1 *2) (-12 (-5 *2 (-948)) (-5 *1 (-1303)))) - ((*1 *2 *2) (-12 (-5 *2 (-948)) (-5 *1 (-1303))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-803 *2)) (-4 *2 (-1080))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1120 (-864 (-391)))) (-5 *2 (-1120 (-864 (-229)))) + (-5 *1 (-315))))) +(((*1 *2 *3 *4) + (-12 (-5 *2 (-663 (-171 *4))) (-5 *1 (-157 *3 *4)) + 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(-922)) (-5 *3 (-1094)) - (-5 *4 - (-2 (|:| |pde| (-663 (-326 (-229)))) - (|:| |constraints| - (-663 - (-2 (|:| |start| (-229)) (|:| |finish| (-229)) - (|:| |grid| (-793)) (|:| |boundaryType| (-560)) - (|:| |dStart| (-711 (-229))) (|:| |dFinish| (-711 (-229)))))) - (|:| |f| (-663 (-663 (-326 (-229))))) (|:| |st| (-1190)) - (|:| |tol| (-229)))) - (-5 *2 (-2 (|:| -2711 (-391)) (|:| |explanations| (-1190)))))) - ((*1 *2 *3) - (-12 (-5 *3 (-925)) - (-5 *2 - (-2 (|:| -2711 (-391)) (|:| -3955 (-1190)) - (|:| |explanations| (-663 (-1190))))) - (-5 *1 (-924)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-925)) (-5 *4 (-1094)) - (-5 *2 - (-2 (|:| -2711 (-391)) (|:| -3955 (-1190)) - (|:| |explanations| (-663 (-1190))))) - (-5 *1 (-924))))) + (-12 (-5 *3 (-663 *2)) (-4 *2 (-979 *4 *5 *6)) (-4 *4 (-319)) + (-4 *5 (-815)) (-4 *6 (-871)) (-5 *1 (-462 *4 *5 *6 *2))))) +(((*1 *2 *3 *4 *4 *4 *3 *4 *3) + (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) + (-5 *1 (-773))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 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- (-5 *2 (-2 (|:| |localSymbols| (-1212)) (|:| -3393 (-663 (-342))))) + (-5 *2 (-2 (|:| |localSymbols| (-1212)) (|:| -3400 (-663 (-342))))) (-4 *1 (-455)))) ((*1 *1 *2) (-12 (-5 *2 (-342)) (-4 *1 (-455)))) ((*1 *1 *2) (-12 (-5 *2 (-663 (-342))) (-4 *1 (-455)))) @@ -10411,25 +10431,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1208)) (|:| |fn| (-326 (-229))) - (|:| -4246 (-1120 (-864 (-229)))) (|:| |abserr| (-229)) + (|:| -3658 (-1120 (-864 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (|:| |mdnia| (-2 (|:| |fn| (-326 (-229))) - (|:| -4246 (-663 (-1120 (-864 (-229))))) + (|:| -3658 (-663 (-1120 (-864 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))))) (-5 *1 (-791)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-326 (-229))) - (|:| -4246 (-663 (-1120 (-864 (-229))))) (|:| |abserr| (-229)) + (|:| -3658 (-663 (-1120 (-864 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (-5 *1 (-791)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1208)) (|:| |fn| (-326 (-229))) - (|:| -4246 (-1120 (-864 (-229)))) (|:| |abserr| (-229)) + (|:| -3658 (-1120 (-864 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (-5 *1 (-791)))) ((*1 *2 *3) (-12 (-5 *2 (-795)) (-5 *1 (-796 *3)) (-4 *3 (-1248)))) @@ -10447,23 +10467,23 @@ (-5 *2 (-3 (|:| |noa| - (-2 (|:| |fn| (-326 (-229))) (|:| -2817 (-663 (-229))) + (-2 (|:| |fn| (-326 (-229))) (|:| -2177 (-663 (-229))) (|:| |lb| (-663 (-864 (-229)))) (|:| |cf| (-663 (-326 (-229)))) (|:| |ub| (-663 (-864 (-229)))))) (|:| |lsa| (-2 (|:| |lfn| (-663 (-326 (-229)))) - (|:| -2817 (-663 (-229))))))) + (|:| -2177 (-663 (-229))))))) (-5 *1 (-863)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -2817 (-663 (-229))))) + (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -2177 (-663 (-229))))) (-5 *1 (-863)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |fn| (-326 (-229))) (|:| -2817 (-663 (-229))) + (-2 (|:| |fn| (-326 (-229))) (|:| -2177 (-663 (-229))) (|:| |lb| (-663 (-864 (-229)))) (|:| |cf| (-663 (-326 (-229)))) (|:| |ub| (-663 (-864 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(-47 *2 *3)) (-4 *3 (-814)) (-4 *2 (-1080)))) ((*1 *2 *1) (-12 (-4 *2 (-1080)) (-5 *1 (-50 *2 *3)) (-14 *3 (-663 (-1208))))) @@ -11142,10 +11068,10 @@ ((*1 *2 *1) (-12 (-4 *1 (-397 *2 *3)) (-4 *3 (-1132)) (-4 *2 (-1080)))) ((*1 *2 *1) - (-12 (-14 *3 (-663 (-1208))) (-4 *5 (-245 (-2338 *3) (-793))) + (-12 (-14 *3 (-663 (-1208))) (-4 *5 (-245 (-2340 *3) (-793))) (-14 *6 - (-1 (-114) (-2 (|:| -4002 *4) (|:| -2588 *5)) - (-2 (|:| -4002 *4) (|:| -2588 *5)))) + (-1 (-114) (-2 (|:| -4002 *4) (|:| -2692 *5)) + (-2 (|:| -4002 *4) (|:| -2692 *5)))) (-4 *2 (-175)) (-5 *1 (-475 *3 *2 *4 *5 *6 *7)) (-4 *4 (-871)) (-4 *7 (-979 *2 *5 (-888 *3))))) ((*1 *2 *1) (-12 (-4 *1 (-523 *2 *3)) (-4 *3 (-874)) (-4 *2 (-102)))) @@ -11162,83 +11088,147 @@ ((*1 *1 *1 *2) (-12 (-4 *1 (-1096 *3 *4 *2)) (-4 *3 (-1080)) (-4 *4 (-815)) (-4 *2 (-871))))) -(((*1 *2 *3 *4 *5) - (|partial| -12 (-5 *5 (-663 *4)) (-4 *4 (-376)) (-5 *2 (-1298 *4)) - (-5 *1 (-836 *4 *3)) (-4 *3 (-680 *4))))) -(((*1 *2 *3) - (-12 (-5 *3 (-115)) 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(-1132)) (-5 *1 (-1031 *3))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1007 *3 *4 *5 *6)) (-4 *3 (-1080)) (-4 *4 (-815)) + (-4 *5 (-871)) (-4 *6 (-1096 *3 *4 *5)) (-4 *3 (-571)) + (-5 *2 (-114))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-915 *3)) (-4 *3 (-1132))))) +(((*1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-887))))) +(((*1 *2 *1) (-12 (-5 *2 (-1304)) (-5 *1 (-845))))) (((*1 *1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1 *1) (|partial| -5 *1 (-136))) ((*1 *1 *1 *1) @@ -11347,7 +11324,7 @@ (-4 *2 (-13 (-871) (-10 -8 (-15 -1501 ((-1190) $ (-1208))) (-15 -1898 ((-1304) $)) - (-15 -4134 ((-1304) $))))))) + (-15 -1788 ((-1304) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-305 *2)) (-4 *2 (-21)) (-4 *2 (-1248)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-21)) (-4 *2 (-1248)))) ((*1 *1 *1 *1) @@ -11368,55 +11345,51 @@ ((*1 *1 *1 *1) (-12 (-4 *1 (-1297 *2)) (-4 *2 (-1248)) (-4 *2 (-21)))) ((*1 *1 *1) (-12 (-4 *1 (-1297 *2)) (-4 *2 (-1248)) (-4 *2 (-21))))) (((*1 *1 *1) (-5 *1 (-549)))) 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*1) (-4 *1 (-25))) ((*1 *1 *1 *1) (-5 *1 (-159))) ((*1 *1 *1 *1) (-12 (-5 *1 (-217 *2)) (-4 *2 (-13 (-871) (-10 -8 (-15 -1501 ((-1190) $ (-1208))) (-15 -1898 ((-1304) $)) - (-15 -4134 ((-1304) $))))))) + (-15 -1788 ((-1304) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-305 *2)) (-4 *2 (-25)) (-4 *2 (-1248)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-25)) (-4 *2 (-1248)))) ((*1 *1 *2 *1) @@ -11439,36 +11412,28 @@ (-12 (-5 *2 (-1186 *3)) (-4 *3 (-1080)) (-5 *1 (-1192 *3)))) ((*1 *2 *2 *2) (-12 (-5 *2 (-972 (-229))) (-5 *1 (-1245)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1297 *2)) (-4 *2 (-1248)) (-4 *2 (-25))))) -(((*1 *2 *1) - (-12 (-4 *1 (-338 *3 *4)) (-4 *3 (-1080)) (-4 *4 (-814)) - (-5 *2 (-114)))) - ((*1 *2 *1) (-12 (-4 *1 (-435 *3)) (-4 *3 (-1132)) (-5 *2 (-114))))) -(((*1 *2 *3 *3) - (-12 (-5 *2 (-1 (-972 *3) (-972 *3))) (-5 *1 (-179 *3)) - (-4 *3 (-13 (-376) (-1234) (-1033)))))) -(((*1 *2 *1) (-12 (-4 *1 (-1317 *3)) (-4 *3 (-376)) (-5 *2 (-114))))) -(((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 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- (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1274 *5)) (-4 *5 (-376)) - (-5 *2 (-2 (|:| |answer| *3) (|:| |polypart| *3))) - (-5 *1 (-588 *5 *3))))) -(((*1 *1 *2 *1) - (-12 (-5 *2 (-1 *4 *4)) (-4 *1 (-338 *3 *4)) (-4 *3 (-1080)) - (-4 *4 (-814))))) + (-12 (-4 *4 (-571)) (-5 *2 (-1298 (-711 *4))) (-5 *1 (-90 *4 *5)) + (-5 *3 (-711 *4)) (-4 *5 (-680 *4))))) +(((*1 *2 *3 *4 *5 *5) + (-12 (-5 *5 (-793)) (-4 *6 (-1132)) (-4 *7 (-927 *6)) + (-5 *2 (-711 *7)) (-5 *1 (-714 *6 *7 *3 *4)) (-4 *3 (-385 *7)) + (-4 *4 (-13 (-385 *6) (-10 -7 (-6 -4509))))))) +(((*1 *2 *3) + (|partial| -12 (-5 *3 (-630 *4)) (-4 *4 (-1132)) (-4 *2 (-1132)) + (-5 *1 (-631 *2 *4))))) (((*1 *1 *1) (-4 *1 (-250))) ((*1 *1 *1) (-12 (-4 *2 (-175)) (-5 *1 (-301 *2 *3 *4 *5 *6 *7)) @@ -11476,7 +11441,7 @@ (-14 *6 (-1 (-3 *4 "failed") *4 *4)) (-14 *7 (-1 (-3 *3 "failed") *3 *3 *4)))) ((*1 *1 *1) - (-2215 (-12 (-5 *1 (-305 *2)) (-4 *2 (-376)) (-4 *2 (-1248))) + (-2217 (-12 (-5 *1 (-305 *2)) (-4 *2 (-376)) (-4 *2 (-1248))) (-12 (-5 *1 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+ (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -3090 (-229)) + (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229)) + (|:| |deltaX| (-229)) (|:| |deltaY| (-229)))) + (-5 *3 (-663 (-270))) (-5 *1 (-271)))) + ((*1 *2 *1 *3 *3 *3) + (-12 (-5 *3 (-391)) (-5 *2 (-1304)) (-5 *1 (-1302)))) + ((*1 *2 *1 *3 *3) + (-12 (-5 *3 (-391)) (-5 *2 (-1304)) (-5 *1 (-1302)))) + ((*1 *2 *1 *3 *3 *4 *4 *4) + (-12 (-5 *3 (-560)) (-5 *4 (-391)) (-5 *2 (-1304)) (-5 *1 (-1302)))) + ((*1 *2 *1 *3) + (-12 + (-5 *3 + (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -3090 (-229)) + (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229)) + (|:| |deltaX| (-229)) (|:| |deltaY| (-229)))) + (-5 *2 (-1304)) (-5 *1 (-1302)))) + ((*1 *2 *1) + (-12 + (-5 *2 + (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -3090 (-229)) + (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229)) + (|:| |deltaX| (-229)) (|:| |deltaY| (-229)))) + (-5 *1 (-1302)))) + ((*1 *2 *1 *3 *3 *3 *3 *3) + (-12 (-5 *3 (-391)) (-5 *2 (-1304)) (-5 *1 (-1302))))) +(((*1 *2 *2) + (-12 (-4 *3 (-466)) (-5 *1 (-1240 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1234)))))) (((*1 *2 *1) (-12 (|has| *1 (-6 -4509)) (-4 *1 (-34)) (-5 *2 (-793)))) ((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-258)))) ((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-1002)))) @@ -11839,85 +11880,74 @@ ((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-1322 *3 *4)) (-4 *3 (-1080)) (-4 *4 (-868))))) -(((*1 *2 *3 *4 *4 *5 *4 *4 *5) - (-12 (-5 *3 (-1190)) (-5 *4 (-560)) (-5 *5 (-711 (-229))) - (-5 *2 (-1066)) (-5 *1 (-779))))) -(((*1 *2 *2) - (-12 (-4 *3 (-466)) (-5 *1 (-1240 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1234)))))) -(((*1 *2 *1 *3 *4) - (-12 (-5 *3 (-948)) (-5 *4 (-1190)) (-5 *2 (-1304)) (-5 *1 (-1301))))) -(((*1 *1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1248)))) - ((*1 *1 *2 *1) (-12 (-5 *1 (-123 *2)) (-4 *2 (-871)))) - ((*1 *1 *2 *1) (-12 (-5 *1 (-128 *2)) (-4 *2 (-871)))) - ((*1 *1 *1 *1 *2) - (-12 (-5 *2 (-560)) (-4 *1 (-294 *3)) (-4 *3 (-1248)))) - ((*1 *1 *2 *1 *3) - (-12 (-5 *3 (-560)) (-4 *1 (-294 *2)) (-4 *2 (-1248)))) - ((*1 *1 *2) - (-12 - (-5 *2 - (-2 - (|:| -3829 - (-2 (|:| |var| (-1208)) (|:| |fn| (-326 (-229))) - (|:| -4246 (-1120 (-864 (-229)))) (|:| |abserr| (-229)) - (|:| |relerr| (-229)))) - (|:| -2710 - (-2 - (|:| |endPointContinuity| - (-3 (|:| |continuous| "Continuous at the end points") - (|:| |lowerSingular| - "There is a singularity at the lower end point") - (|:| |upperSingular| - "There is a singularity at the upper end point") - (|:| |bothSingular| - "There are singularities at both end points") - (|:| |notEvaluated| - "End point continuity not yet evaluated"))) - (|:| |singularitiesStream| - (-3 (|:| |str| (-1186 (-229))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -4246 - (-3 (|:| |finite| "The range is finite") - (|:| |lowerInfinite| - "The bottom of range is infinite") - (|:| |upperInfinite| "The top of range is infinite") - (|:| |bothInfinite| - "Both top and bottom points are infinite") - (|:| |notEvaluated| "Range not yet evaluated"))))))) - (-5 *1 (-574)))) - ((*1 *1 *2 *1 *3) - (-12 (-5 *3 (-793)) (-4 *1 (-717 *2)) (-4 *2 (-1132)))) - ((*1 *1 *2) - (-12 - (-5 *2 - (-2 - (|:| -3829 - (-2 (|:| |xinit| (-229)) (|:| |xend| (-229)) - (|:| |fn| (-1298 (-326 (-229)))) (|:| |yinit| (-663 (-229))) - (|:| |intvals| (-663 (-229))) (|:| |g| (-326 (-229))) - (|:| |abserr| (-229)) (|:| |relerr| (-229)))) - (|:| -2710 - (-2 (|:| |stiffness| (-391)) (|:| |stability| (-391)) - (|:| |expense| (-391)) (|:| |accuracy| (-391)) - (|:| |intermediateResults| (-391)))))) - (-5 *1 (-825)))) - ((*1 *2 *3 *4) - (-12 (-5 *2 (-1304)) (-5 *1 (-1226 *3 *4)) (-4 *3 (-1132)) - (-4 *4 (-1132))))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-793)) (-5 *1 (-103 *3)) (-4 *3 (-1132))))) -(((*1 *2 *1 *3) - (-12 (-4 *1 (-885)) (-5 *2 (-713 (-564))) (-5 *3 (-564))))) -(((*1 *1 *1 *1) (-12 (-5 *1 (-803 *2)) (-4 *2 (-1080)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1096 *2 *3 *4)) (-4 *2 (-1080)) (-4 *3 (-815)) - (-4 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(-13 (-871) (-10 -8 (-15 -4410 ((-1208) $)))))))) +(((*1 *2 *1) + (-12 (-4 *3 (-175)) (-4 *2 (-23)) (-5 *1 (-301 *3 *4 *2 *5 *6 *7)) + (-4 *4 (-1274 *3)) (-14 *5 (-1 *4 *4 *2)) + (-14 *6 (-1 (-3 *2 "failed") *2 *2)) + (-14 *7 (-1 (-3 *4 "failed") *4 *4 *2)))) + ((*1 *2 *1) + (-12 (-4 *2 (-23)) (-5 *1 (-733 *3 *2 *4 *5 *6)) (-4 *3 (-175)) + (-14 *4 (-1 *3 *3 *2)) (-14 *5 (-1 (-3 *2 "failed") *2 *2)) + (-14 *6 (-1 (-3 *3 "failed") *3 *3 *2)))) + ((*1 *2) + (-12 (-4 *2 (-1274 *3)) (-5 *1 (-734 *3 *2)) (-4 *3 (-1080)))) + ((*1 *2 *1) + (-12 (-4 *2 (-23)) (-5 *1 (-737 *3 *2 *4 *5 *6)) (-4 *3 (-175)) + (-14 *4 (-1 *3 *3 *2)) (-14 *5 (-1 (-3 *2 "failed") *2 *2)) + (-14 *6 (-1 (-3 *3 "failed") *3 *3 *2)))) + ((*1 *2) (-12 (-4 *1 (-894 *3)) (-5 *2 (-560))))) +(((*1 *2) + (-12 (-4 *4 (-175)) (-5 *2 (-1202 (-975 *4))) (-5 *1 (-431 *3 *4)) + (-4 *3 (-432 *4)))) + ((*1 *2) + (-12 (-4 *1 (-432 *3)) (-4 *3 (-175)) (-4 *3 (-376)) + (-5 *2 (-1202 (-975 *3))))) + ((*1 *2) + (-12 (-5 *2 (-1202 (-421 (-975 *3)))) (-5 *1 (-467 *3 *4 *5 *6)) + (-4 *3 (-571)) (-4 *3 (-175)) (-14 *4 (-948)) + (-14 *5 (-663 (-1208))) (-14 *6 (-1298 (-711 *3)))))) +(((*1 *2 *2 *2) + (-12 (-4 *3 (-1080)) (-5 *1 (-1272 *3 *2)) (-4 *2 (-1274 *3))))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-793)) (-5 *3 (-972 *5)) (-4 *5 (-1080)) + (-5 *1 (-1196 *4 *5)) (-14 *4 (-948)))) + ((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-663 (-793))) (-5 *3 (-793)) (-5 *1 (-1196 *4 *5)) + (-14 *4 (-948)) (-4 *5 (-1080)))) + ((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-663 (-793))) (-5 *3 (-972 *5)) (-4 *5 (-1080)) + (-5 *1 (-1196 *4 *5)) (-14 *4 (-948))))) +(((*1 *2 *3) + (-12 (-5 *3 (-495 *4 *5)) (-14 *4 (-663 (-1208))) (-4 *5 (-1080)) + (-5 *2 (-255 *4 *5)) (-5 *1 (-973 *4 *5))))) +(((*1 *1 *1 *2) + (-12 (-4 *1 (-1007 *3 *4 *2 *5)) (-4 *3 (-1080)) (-4 *4 (-815)) + (-4 *2 (-871)) (-4 *5 (-1096 *3 *4 *2))))) +(((*1 *2 *3) + (-12 (-4 *4 (-571)) (-5 *2 (-793)) (-5 *1 (-43 *4 *3)) + (-4 *3 (-432 *4))))) (((*1 *2 *1 *1) (-12 (-4 *1 (-102)) (-5 *2 (-114)))) ((*1 *1 *1 *1) (-5 *1 (-887)))) (((*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-793)))) @@ -11946,10 +11976,10 @@ ((*1 *1 *2 *1) (-12 (-4 *1 (-399 *2)) (-4 *2 (-1132)))) ((*1 *1 *2 *1) (-12 (-14 *3 (-663 (-1208))) (-4 *4 (-175)) - (-4 *6 (-245 (-2338 *3) (-793))) + (-4 *6 (-245 (-2340 *3) (-793))) (-14 *7 - (-1 (-114) (-2 (|:| -4002 *5) (|:| -2588 *6)) - (-2 (|:| -4002 *5) (|:| -2588 *6)))) + (-1 (-114) (-2 (|:| -4002 *5) (|:| -2692 *6)) + (-2 (|:| -4002 *5) (|:| -2692 *6)))) (-5 *1 (-475 *3 *4 *5 *6 *7 *2)) (-4 *5 (-871)) (-4 *2 (-979 *4 *6 (-888 *3))))) ((*1 *1 *1 *2) @@ -12023,45 +12053,58 @@ (-12 (-4 *1 (-1318 *3 *2)) (-4 *3 (-871)) (-4 *2 (-1080)))) ((*1 *1 *1 *2) (-12 (-5 *1 (-1322 *2 *3)) (-4 *2 (-1080)) (-4 *3 (-868))))) -(((*1 *2 *1) (-12 (-5 *2 (-845)) (-5 *1 (-844))))) -(((*1 *1 *1 *1) (-5 *1 (-887)))) -(((*1 *1) (-5 *1 (-623)))) -(((*1 *1 *1 *2) (-12 (-4 *1 (-742)) (-5 *2 (-948)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-744)) (-5 *2 (-793))))) (((*1 *2 *2) - (-12 (-5 *2 (-972 *3)) (-4 *3 (-13 (-376) (-1234) (-1033))) - (-5 *1 (-179 *3))))) + (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1033)))))) +(((*1 *2 *1) + (-12 (-5 *2 (-713 (-995 *3))) (-5 *1 (-995 *3)) (-4 *3 (-1132))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-954))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-560)) (-5 *2 (-1304)) (-5 *1 (-845))))) +(((*1 *2 *2) + (-12 (-4 *3 (-571)) (-5 *1 (-648 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1033) (-1234))))) + ((*1 *1 *1) (-4 *1 (-649)))) (((*1 *2 *3 *4) - (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1274 *5)) (-4 *5 (-376)) - (-5 *2 (-2 (|:| -1816 (-419 *3)) (|:| |special| (-419 *3)))) - (-5 *1 (-749 *5 *3))))) + (-12 (-5 *3 (-1208)) (-5 *4 (-975 (-560))) (-5 *2 (-342)) + (-5 *1 (-344))))) +(((*1 *2 *1) + (-12 (-5 *2 (-1128 (-1128 *3))) (-5 *1 (-934 *3)) (-4 *3 (-1132))))) (((*1 *2 *3) - (-12 (-5 *3 (-975 (-560))) (-5 *2 (-663 *1)) (-4 *1 (-1043)))) - ((*1 *2 *3) - (-12 (-5 *3 (-975 (-421 (-560)))) (-5 *2 (-663 *1)) (-4 *1 (-1043)))) - ((*1 *2 *3) (-12 (-5 *3 (-975 *1)) (-4 *1 (-1043)) (-5 *2 (-663 *1)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1202 (-560))) (-5 *2 (-663 *1)) (-4 *1 (-1043)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1202 (-421 (-560)))) (-5 *2 (-663 *1)) (-4 *1 (-1043)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1202 *1)) (-4 *1 (-1043)) (-5 *2 (-663 *1)))) - ((*1 *2 *3) - (-12 (-4 *4 (-13 (-870) (-376))) (-4 *3 (-1274 *4)) (-5 *2 (-663 *1)) - (-4 *1 (-1099 *4 *3))))) -(((*1 *2 *3 *4) - (|partial| -12 (-5 *4 (-948)) (-4 *5 (-571)) (-5 *2 (-711 *5)) - (-5 *1 (-986 *5 *3)) (-4 *3 (-680 *5))))) + (-12 (-4 *4 (-815)) + (-4 *5 (-13 (-871) (-10 -8 (-15 -4410 ((-1208) $))))) (-4 *6 (-571)) + (-5 *2 (-2 (|:| -4108 (-975 *6)) (|:| -3725 (-975 *6)))) + (-5 *1 (-754 *4 *5 *6 *3)) (-4 *3 (-979 (-421 (-975 *6)) *4 *5))))) +(((*1 *1 *1) (-12 (-4 *1 (-435 *2)) (-4 *2 (-1132)) (-4 *2 (-1080)))) + ((*1 *1 *1) (-12 (-4 *1 (-1022 *2)) (-4 *2 (-571))))) (((*1 *2 *3 *2) (-12 (-5 *3 (-948)) (-5 *1 (-1062 *2)) - (-4 *2 (-13 (-1132) (-10 -8 (-15 -2444 ($ $ $)))))))) -(((*1 *2 *3 *4 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) - (-5 *1 (-769))))) + (-4 *2 (-13 (-1132) (-10 -8 (-15 -2448 ($ $ $)))))))) (((*1 *2 *3) - (|partial| -12 (-4 *4 (-1253)) (-4 *5 (-1274 *4)) - (-5 *2 (-2 (|:| |radicand| (-421 *5)) (|:| |deg| (-793)))) - (-5 *1 (-150 *4 *5 *3)) (-4 *3 (-1274 (-421 *5)))))) + (-12 + (-5 *3 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1186 (-229))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -3658 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated"))))) + (-5 *2 (-1066)) (-5 *1 (-315))))) (((*1 *1 *1 *2) (|partial| -12 (-4 *1 (-168 *2)) (-4 *2 (-175)) (-4 *2 (-571)))) ((*1 *1 *1 *2) @@ -12083,316 +12126,193 @@ (-4 *5 (-245 *4 *2)) (-4 *6 (-245 *3 *2)) (-4 *2 (-571)))) ((*1 *2 *2 *2) (|partial| -12 (-5 *2 (-1186 *3)) (-4 *3 (-1080)) (-5 *1 (-1192 *3))))) -(((*1 *2 *3 *3 *4 *4 *4 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1066)) (-5 *1 (-770))))) -(((*1 *2 *1) - (-12 (-4 *3 (-1248)) (-5 *2 (-663 *1)) (-4 *1 (-1041 *3)))) - ((*1 *2 *1) - (-12 (-5 *2 (-663 (-1196 *3 *4))) (-5 *1 (-1196 *3 *4)) - (-14 *3 (-948)) (-4 *4 (-1080))))) -(((*1 *2 *1) (-12 (-4 *1 (-1165 *3)) (-4 *3 (-1080)) (-5 *2 (-114))))) -(((*1 *2 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1302)))) - ((*1 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1302))))) -(((*1 *2 *2 *2) (-12 (-5 *1 (-161 *2)) (-4 *2 (-559))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-793)) (-5 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(-12 (-5 *2 (-560)) (-14 *3 *2) (-5 *1 (-896 *3 *4)) + (-4 *4 (-894 *3)))) + ((*1 *1 *1) + (-12 (-14 *2 (-560)) (-5 *1 (-896 *2 *3)) (-4 *3 (-894 *2)))) + ((*1 *1 *2 *1) + (-12 (-5 *2 (-560)) (-4 *1 (-1262 *3 *4)) (-4 *3 (-1080)) + (-4 *4 (-1291 *3)))) + ((*1 *1 *1) + (-12 (-4 *1 (-1262 *2 *3)) (-4 *2 (-1080)) (-4 *3 (-1291 *2))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1066)) (-5 *1 (-780))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1033))))) @@ -15755,45 +15661,44 @@ ((*1 *2 *2) (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3))))) -(((*1 *2 *2 *2 *2 *3 *3 *4) - (|partial| -12 (-5 *3 (-630 *2)) - (-5 *4 (-1 (-3 *2 "failed") *2 *2 (-1208))) - (-4 *2 (-13 (-435 *5) (-27) (-1234))) - (-4 *5 (-13 (-466) (-1069 (-560)) (-149) (-660 (-560)))) - (-5 *1 (-580 *5 *2 *6)) (-4 *6 (-1132))))) -(((*1 *1 *1 *1) (-4 *1 (-487))) ((*1 *1 *1 *1) (-4 *1 (-783)))) -(((*1 *2 *2 *3) - (|partial| -12 (-5 *3 (-1208)) - (-4 *4 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(-1298 *5) (-391))) + (-5 *3 (-1298 (-391))) (-5 *5 (-391)) (-5 *2 (-1304)) + (-5 *1 (-810))))) +(((*1 *2 *1 *3 *3) + (-12 (-5 *3 (-793)) (-5 *2 (-1304)) (-5 *1 (-1301)))) + ((*1 *2 *1 *3 *3) + (-12 (-5 *3 (-793)) (-5 *2 (-1304)) (-5 *1 (-1302))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-803 *2)) (-4 *2 (-571)) (-4 *2 (-1080)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-571)) (-5 *1 (-1000 *3 *2)) (-4 *2 (-1274 *3)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1096 *2 *3 *4)) (-4 *2 (-1080)) (-4 *3 (-815)) + (-4 *4 (-871)) (-4 *2 (-571)))) + ((*1 *2 *3 *3 *1) + (-12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) + (-4 *3 (-1096 *4 *5 *6)) + (-5 *2 (-663 (-2 (|:| |val| *3) (|:| -3288 *1)))) + (-4 *1 (-1102 *4 *5 *6 *3))))) +(((*1 *2 *3 *3 *3 *4 *5 *5 *3) + (-12 (-5 *3 (-560)) (-5 *5 (-711 (-229))) (-5 *4 (-229)) + (-5 *2 (-1066)) (-5 *1 (-774))))) +(((*1 *1 *1) + (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1080))))) (((*1 *2 *1) - (|partial| -12 (-4 *3 (-466)) (-4 *4 (-871)) (-4 *5 (-815)) - (-5 *2 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(-391)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-793)) (-5 *2 (-421 (-560))) (-5 *1 (-391))))) +(((*1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-576))))) +(((*1 *2 *3) (-12 (-5 *3 (-1208)) (-5 *2 (-1304)) (-5 *1 (-1211)))) + ((*1 *2 *1) (-12 (-5 *2 (-1304)) (-5 *1 (-1212))))) +(((*1 *1 *2 *2) (-12 (-5 *1 (-902 *2)) (-4 *2 (-1248)))) + ((*1 *1 *2 *2 *2) (-12 (-5 *1 (-904 *2)) (-4 *2 (-1248)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1165 *3)) (-4 *3 (-1080)) (-5 *2 (-663 (-972 *3))))) + ((*1 *1 *2) + (-12 (-5 *2 (-663 (-972 *3))) (-4 *3 (-1080)) (-4 *1 (-1165 *3)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-663 (-663 *3))) (-4 *1 (-1165 *3)) (-4 *3 (-1080)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-663 (-972 *3))) (-4 *1 (-1165 *3)) (-4 *3 (-1080))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-146))))) +(((*1 *2 *3) + (-12 (-4 *4 (-571)) (-5 *2 (-793)) (-5 *1 (-43 *4 *3)) + (-4 *3 (-432 *4))))) (((*1 *1 *1 *2 *1) (-12 (-4 *1 (-127 *2)) (-4 *2 (-1132))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *1 *1 *1) (-5 *1 (-229))) ((*1 *2 *2) @@ -16067,59 +15955,47 @@ ((*1 *2 *2) (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3))))) -(((*1 *2) - (-12 (-4 *3 (-466)) (-4 *4 (-815)) (-4 *5 (-871)) - (-4 *6 (-1096 *3 *4 *5)) (-5 *2 (-1304)) - (-5 *1 (-1103 *3 *4 *5 *6 *7)) (-4 *7 (-1102 *3 *4 *5 *6)))) - ((*1 *2) - (-12 (-4 *3 (-466)) (-4 *4 (-815)) (-4 *5 (-871)) - (-4 *6 (-1096 *3 *4 *5)) (-5 *2 (-1304)) - (-5 *1 (-1139 *3 *4 *5 *6 *7)) (-4 *7 (-1102 *3 *4 *5 *6))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-663 (-421 (-975 (-171 (-560)))))) - (-5 *2 (-663 (-663 (-305 (-975 (-171 *4)))))) (-5 *1 (-392 *4)) - (-4 *4 (-13 (-376) (-870))))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-663 (-305 (-421 (-975 (-171 (-560))))))) - (-5 *2 (-663 (-663 (-305 (-975 (-171 *4)))))) (-5 *1 (-392 *4)) - (-4 *4 (-13 (-376) (-870))))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-421 (-975 (-171 (-560))))) - (-5 *2 (-663 (-305 (-975 (-171 *4))))) (-5 *1 (-392 *4)) - (-4 *4 (-13 (-376) (-870))))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-305 (-421 (-975 (-171 (-560)))))) - (-5 *2 (-663 (-305 (-975 (-171 *4))))) (-5 *1 (-392 *4)) - (-4 *4 (-13 (-376) (-870)))))) -(((*1 *2 *1) (-12 (-4 *1 (-380 *2)) (-4 *2 (-175))))) -(((*1 *2 *3 *3 *4 *5 *5 *5 *4 *4 *4 *3 *4 *4 *6) - (-12 (-5 *3 (-711 (-229))) (-5 *4 (-560)) (-5 *5 (-229)) - (-5 *6 (-3 (|:| |fn| (-402)) (|:| |fp| (-82 FCN)))) (-5 *2 (-1066)) - (-5 *1 (-771))))) -(((*1 *2 *3) - (-12 (-4 *4 (-466)) - (-5 *2 - (-663 - (-2 (|:| |eigval| (-3 (-421 (-975 *4)) (-1197 (-1208) (-975 *4)))) - (|:| |eigmult| (-793)) - (|:| |eigvec| (-663 (-711 (-421 (-975 *4)))))))) - (-5 *1 (-304 *4)) (-5 *3 (-711 (-421 (-975 *4))))))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-520)) (-5 *2 (-713 (-109))) (-5 *1 (-178)))) - ((*1 *2 *3 *1) - (-12 (-5 *3 (-520)) (-5 *2 (-713 (-109))) (-5 *1 (-1116))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1066)) (-5 *1 (-780))))) -(((*1 *2 *3 *2) - (-12 - (-5 *2 - (-663 - (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-793)) (|:| |poli| *3) - (|:| |polj| *3)))) - (-4 *5 (-815)) (-4 *3 (-979 *4 *5 *6)) (-4 *4 (-466)) (-4 *6 (-871)) - (-5 *1 (-464 *4 *5 *6 *3))))) (((*1 *2 *2) - (|partial| -12 (-5 *2 (-1202 *3)) (-4 *3 (-363)) (-5 *1 (-369 *3))))) + (-12 (-5 *2 (-663 *6)) (-4 *6 (-1096 *3 *4 *5)) (-4 *3 (-571)) + (-4 *4 (-815)) (-4 *5 (-871)) (-5 *1 (-1008 *3 *4 *5 *6))))) +(((*1 *2 *2 *2 *2) + (-12 (-5 *2 (-421 (-1202 (-326 *3)))) (-4 *3 (-571)) + (-5 *1 (-1161 *3))))) +(((*1 *2 *2) (-12 (-5 *2 (-1190)) (-5 *1 (-781))))) +(((*1 *2 *2 *3 *2) + (-12 (-5 *3 (-793)) (-4 *4 (-363)) (-5 *1 (-220 *4 *2)) + (-4 *2 (-1274 *4))))) +(((*1 *2 *2) + (-12 (-5 *2 (-1186 *3)) (-4 *3 (-1080)) (-5 *1 (-1192 *3)))) + ((*1 *1 *1) + (-12 (-5 *1 (-1288 *2 *3 *4)) (-4 *2 (-1080)) (-14 *3 (-1208)) + (-14 *4 *2)))) +(((*1 *1 *2) + (-12 (-5 *2 (-948)) (-4 *1 (-245 *3 *4)) (-4 *4 (-1080)) + (-4 *4 (-1248)))) + ((*1 *1 *2) + (-12 (-14 *3 (-663 (-1208))) (-4 *4 (-175)) + (-4 *5 (-245 (-2340 *3) (-793))) + (-14 *6 + (-1 (-114) (-2 (|:| -4002 *2) (|:| -2692 *5)) + (-2 (|:| -4002 *2) (|:| -2692 *5)))) + (-5 *1 (-475 *3 *4 *2 *5 *6 *7)) (-4 *2 (-871)) + (-4 *7 (-979 *4 *5 (-888 *3))))) + ((*1 *2 *2) (-12 (-5 *2 (-972 (-229))) (-5 *1 (-1245))))) +(((*1 *1 *2 *2 *1) (-12 (-5 *1 (-669 *2)) (-4 *2 (-1132))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-229)) (-5 *5 (-560)) (-5 *2 (-1244 *3)) + (-5 *1 (-812 *3)) (-4 *3 (-1005)))) + ((*1 *1 *2 *3 *4) + (-12 (-5 *3 (-663 (-663 (-972 (-229))))) (-5 *4 (-114)) + (-5 *1 (-1244 *2)) (-4 *2 (-1005))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-571)) (-4 *3 (-1080)) + (-5 *2 (-2 (|:| -1930 *1) (|:| -2769 *1))) (-4 *1 (-876 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-571)) (-4 *5 (-1080)) + (-5 *2 (-2 (|:| -1930 *3) (|:| -2769 *3))) (-5 *1 (-877 *5 *3)) + (-4 *3 (-876 *5))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) @@ -16139,47 +16015,38 @@ ((*1 *2 *2) (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3))))) -(((*1 *2 *3 *4 *2) - (-12 (-5 *2 (-663 (-2 (|:| |totdeg| (-793)) (|:| 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(-5 *4 (-711 (-229))) (-5 *2 (-1066)) - (-5 *1 (-773))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-1208)) (-5 *2 (-1 (-229) (-229))) (-5 *1 (-725 *3)) - (-4 *3 (-633 (-549))))) - ((*1 *2 *3 *4 *4) - (-12 (-5 *4 (-1208)) (-5 *2 (-1 (-229) (-229) (-229))) - (-5 *1 (-725 *3)) (-4 *3 (-633 (-549)))))) -(((*1 *1) (-5 *1 (-229))) ((*1 *1) (-5 *1 (-391)))) +(((*1 *2 *3 *4 *5 *6 *5) + (-12 (-5 *4 (-171 (-229))) (-5 *5 (-560)) (-5 *6 (-1190)) + (-5 *3 (-229)) (-5 *2 (-1066)) (-5 *1 (-780))))) +(((*1 *2 *1) + (-12 (-5 *2 (-1298 (-793))) (-5 *1 (-697 *3)) (-4 *3 (-1132))))) (((*1 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1033)))))) + (-12 (-4 *3 (-466)) (-4 *4 (-815)) (-4 *5 (-871)) + (-4 *6 (-1096 *3 *4 *5)) (-5 *1 (-643 *3 *4 *5 *6 *7 *2)) + (-4 *7 (-1102 *3 *4 *5 *6)) (-4 *2 (-1140 *3 *4 *5 *6))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-146))))) +(((*1 *2 *1) + (-12 (-4 *1 (-708 *2 *3 *4)) (-4 *3 (-385 *2)) (-4 *4 (-385 *2)) + (|has| *2 (-6 (-4511 "*"))) (-4 *2 (-1080)))) + ((*1 *2 *3) + (-12 (-4 *4 (-385 *2)) (-4 *5 (-385 *2)) (-4 *2 (-175)) + (-5 *1 (-710 *2 *4 *5 *3)) (-4 *3 (-708 *2 *4 *5)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1154 *3 *2 *4 *5)) (-4 *4 (-245 *3 *2)) + (-4 *5 (-245 *3 *2)) (|has| *2 (-6 (-4511 "*"))) (-4 *2 (-1080))))) +(((*1 *2 *1) (-12 (-5 *2 (-187 (-257))) (-5 *1 (-256))))) +(((*1 *2 *3) + (-12 (-4 *4 (-319)) (-4 *5 (-385 *4)) (-4 *6 (-385 *4)) + (-5 *2 + (-2 (|:| |Smith| *3) (|:| |leftEqMat| *3) (|:| |rightEqMat| *3))) + (-5 *1 (-1155 *4 *5 *6 *3)) (-4 *3 (-708 *4 *5 *6))))) +(((*1 *2 *2) (-12 (-5 *2 (-114)) (-5 *1 (-956))))) +(((*1 *2 *3) + (-12 (-4 *4 (-1274 (-421 *2))) (-5 *2 (-560)) (-5 *1 (-942 *4 *3)) + (-4 *3 (-1274 (-421 *4)))))) +(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3) + (-12 (-5 *4 (-711 (-229))) (-5 *5 (-711 (-560))) (-5 *6 (-229)) + (-5 *3 (-560)) (-5 *2 (-1066)) (-5 *1 (-774))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) @@ -16199,25 +16066,33 @@ ((*1 *2 *2) (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3))))) +(((*1 *1 *1) + (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1080))))) (((*1 *2 *3) - (|partial| -12 (-4 *4 (-571)) (-4 *5 (-815)) (-4 *6 (-871)) - (-4 *7 (-1096 *4 *5 *6)) - (-5 *2 (-2 (|:| |bas| (-490 *4 *5 *6 *7)) (|:| -2814 (-663 *7)))) - (-5 *1 (-1008 *4 *5 *6 *7)) (-5 *3 (-663 *7))))) -(((*1 *2 *2) (-12 (-5 *1 (-991 *2)) (-4 *2 (-559))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-466)) (-4 *3 (-815)) (-4 *5 (-871)) (-5 *2 (-114)) - (-5 *1 (-464 *4 *3 *5 *6)) (-4 *6 (-979 *4 *3 *5))))) -(((*1 *2 *1) (-12 (-5 *2 (-1304)) (-5 *1 (-845))))) -(((*1 *2 *1) - (-12 (-4 *1 (-708 *2 *3 *4)) (-4 *3 (-385 *2)) (-4 *4 (-385 *2)) - (|has| *2 (-6 (-4511 "*"))) (-4 *2 (-1080)))) + (-12 (-5 *3 (-1208)) (-5 *2 (-1 (-1202 (-975 *4)) (-975 *4))) + (-5 *1 (-1307 *4)) (-4 *4 (-376))))) +(((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-146))))) +(((*1 *2 *3) + (-12 (|has| *6 (-6 -4510)) (-4 *4 (-376)) (-4 *5 (-385 *4)) + (-4 *6 (-385 *4)) (-5 *2 (-663 *6)) (-5 *1 (-535 *4 *5 *6 *3)) + (-4 *3 (-708 *4 *5 *6)))) ((*1 *2 *3) - (-12 (-4 *4 (-385 *2)) (-4 *5 (-385 *2)) (-4 *2 (-175)) - (-5 *1 (-710 *2 *4 *5 *3)) (-4 *3 (-708 *2 *4 *5)))) + (-12 (|has| *9 (-6 -4510)) (-4 *4 (-571)) (-4 *5 (-385 *4)) + (-4 *6 (-385 *4)) (-4 *7 (-1022 *4)) (-4 *8 (-385 *7)) + (-4 *9 (-385 *7)) (-5 *2 (-663 *6)) + (-5 *1 (-536 *4 *5 *6 *3 *7 *8 *9 *10)) (-4 *3 (-708 *4 *5 *6)) + (-4 *10 (-708 *7 *8 *9)))) ((*1 *2 *1) - (-12 (-4 *1 (-1154 *3 *2 *4 *5)) (-4 *4 (-245 *3 *2)) - (-4 *5 (-245 *3 *2)) (|has| *2 (-6 (-4511 "*"))) (-4 *2 (-1080))))) + (-12 (-4 *1 (-708 *3 *4 *5)) (-4 *3 (-1080)) (-4 *4 (-385 *3)) + (-4 *5 (-385 *3)) (-4 *3 (-571)) (-5 *2 (-663 *5)))) + ((*1 *2 *3) + (-12 (-4 *4 (-571)) (-4 *4 (-175)) (-4 *5 (-385 *4)) + (-4 *6 (-385 *4)) (-5 *2 (-663 *6)) (-5 *1 (-710 *4 *5 *6 *3)) + (-4 *3 (-708 *4 *5 *6)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1084 *3 *4 *5 *6 *7)) (-4 *5 (-1080)) + (-4 *6 (-245 *4 *5)) (-4 *7 (-245 *3 *5)) (-4 *5 (-571)) + (-5 *2 (-663 *7))))) (((*1 *2 *1) (-12 (-4 *3 (-1080)) (-4 *4 (-1132)) (-5 *2 (-663 *1)) (-4 *1 (-397 *3 *4)))) @@ -16227,15 +16102,26 @@ ((*1 *2 *1) (-12 (-4 *3 (-1080)) (-4 *4 (-815)) (-4 *5 (-871)) (-5 *2 (-663 *1)) (-4 *1 (-979 *3 *4 *5))))) -(((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-481)))) - ((*1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-481)))) - ((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-954))))) -(((*1 *2 *3 *4 *3 *3 *3 *3 *4 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-711 (-171 (-229)))) (-5 *2 (-1066)) - (-5 *1 (-778))))) -(((*1 *2 *1) - (-12 (-5 *2 (-663 (-663 (-793)))) (-5 *1 (-934 *3)) (-4 *3 (-1132))))) -(((*1 *1) (-5 *1 (-624)))) +(((*1 *2 *1) (-12 (-5 *2 (-1186 *3)) (-5 *1 (-177 *3)) (-4 *3 (-319))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-448))))) +(((*1 *2 *3) (-12 (-5 *3 (-421 (-560))) (-5 *2 (-229)) (-5 *1 (-315))))) +(((*1 *1 *1 *1) + (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-560)) (-14 *3 (-793)) + (-4 *4 (-175)))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-1208)) (-4 *4 (-571)) (-5 *1 (-160 *4 *2)) + (-4 *2 (-435 *4)))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-1123 *2)) (-4 *2 (-435 *4)) (-4 *4 (-571)) + (-5 *1 (-160 *4 *2)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-1123 *1)) (-4 *1 (-162)))) + ((*1 *1 *1 *2) (-12 (-4 *1 (-162)) (-5 *2 (-1208)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-479 *2 *3)) (-4 *2 (-175)) (-4 *3 (-23)))) + ((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-793)) (-5 *1 (-1319 *3 *4)) (-4 *3 (-871)) + (-4 *4 (-175))))) +(((*1 *1 *1 *1 *1) (-4 *1 (-783)))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1033))))) @@ -16252,70 +16138,58 @@ (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3)))) ((*1 *1 *1) (-4 *1 (-1237)))) +(((*1 *2 *1) + (-12 + (-5 *2 + (-1298 + (-2 (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) + (|:| |deltaX| (-229)) (|:| |deltaY| (-229)) (|:| -3522 (-560)) + (|:| -2190 (-560)) (|:| |spline| (-560)) (|:| -1676 (-560)) + (|:| |axesColor| (-898)) (|:| -3342 (-560)) + (|:| |unitsColor| (-898)) (|:| |showing| (-560))))) + (-5 *1 (-1301))))) (((*1 *2 *3) - (-12 (-4 *1 (-822)) - (-5 *3 - (-2 (|:| |xinit| (-229)) (|:| |xend| (-229)) - (|:| |fn| (-1298 (-326 (-229)))) (|:| |yinit| (-663 (-229))) - (|:| |intvals| (-663 (-229))) (|:| |g| (-326 (-229))) - (|:| |abserr| (-229)) (|:| |relerr| (-229)))) - (-5 *2 (-1066))))) -(((*1 *1 *2) - (-12 (-5 *2 (-663 *1)) (-4 *1 (-1165 *3)) (-4 *3 (-1080)))) - ((*1 *2 *2 *1) - (|partial| -12 (-5 *2 (-421 *1)) (-4 *1 (-1274 *3)) (-4 *3 (-1080)) - (-4 *3 (-571)))) - ((*1 *1 *1 *1) - (|partial| -12 (-4 *1 (-1274 *2)) (-4 *2 (-1080)) (-4 *2 (-571))))) -(((*1 *1 *1 *1) - (-12 (-4 *1 (-1096 *2 *3 *4)) (-4 *2 (-1080)) (-4 *3 (-815)) - (-4 *4 (-871)) (-4 *2 (-571)))) - ((*1 *1 *1 *2) - (-12 (-4 *1 (-1096 *2 *3 *4)) (-4 *2 (-1080)) (-4 *3 (-815)) - (-4 *4 (-871)) (-4 *2 (-571))))) -(((*1 *2 *3) - (-12 (-5 *3 (-663 *4)) (-4 *4 (-376)) (-5 *2 (-711 *4)) - (-5 *1 (-836 *4 *5)) (-4 *5 (-680 *4)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-663 *5)) (-5 *4 (-793)) (-4 *5 (-376)) - (-5 *2 (-711 *5)) (-5 *1 (-836 *5 *6)) (-4 *6 (-680 *5))))) + (-12 (-5 *3 (-560)) (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) + (-5 *2 (-1304)) (-5 *1 (-464 *4 *5 *6 *7)) (-4 *7 (-979 *4 *5 *6))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-136))))) +(((*1 *2 *1 *3) (-12 (-4 *1 (-134)) (-5 *3 (-793)) (-5 *2 (-1304))))) +(((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-481)))) + ((*1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-481)))) + ((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-954))))) (((*1 *2 *1) (-12 (-5 *2 (-1146)) (-5 *1 (-222)))) ((*1 *2 *1) (-12 (-5 *2 (-1146)) (-5 *1 (-453)))) ((*1 *2 *1) (-12 (-5 *2 (-1146)) (-5 *1 (-860)))) ((*1 *1 *2 *3) (-12 (-5 *2 (-663 (-1213))) (-5 *3 (-1213)) (-5 *1 (-1146)))) ((*1 *2 *1) (-12 (-5 *2 (-1146)) (-5 *1 (-1147))))) -(((*1 *2 *3) - (-12 (-5 *3 (-975 (-229))) (-5 *2 (-326 (-391))) (-5 *1 (-315))))) -(((*1 *2 *1) - (-12 (-5 *2 (-174)) (-5 *1 (-1196 *3 *4)) (-14 *3 (-948)) - (-4 *4 (-1080))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1 *2 *2)) (-5 *1 (-704 *2)) (-4 *2 (-1132)))) +(((*1 *1 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- (-5 *1 (-1100 *6 *7 *8 *3 *4)) (-4 *4 (-1102 *6 *7 *8 *3)))) + (-12 (-5 *4 (-305 (-854 (-975 *5)))) (-4 *5 (-466)) + (-5 *2 (-854 (-421 (-975 *5)))) (-5 *1 (-656 *5)) + (-5 *3 (-421 (-975 *5))))) ((*1 *2 *3 *4) - (-12 (-4 *5 (-466)) (-4 *6 (-815)) (-4 *7 (-871)) - (-4 *3 (-1096 *5 *6 *7)) - (-5 *2 - (-2 (|:| |done| (-663 *4)) - (|:| |todo| (-663 (-2 (|:| |val| (-663 *3)) (|:| -3280 *4)))))) - (-5 *1 (-1176 *5 *6 *7 *3 *4)) (-4 *4 (-1140 *5 *6 *7 *3))))) + (-12 (-5 *4 (-305 (-421 (-975 *5)))) (-5 *3 (-421 (-975 *5))) + (-4 *5 (-466)) (-5 *2 (-854 *3)) (-5 *1 (-656 *5))))) +(((*1 *2 *3 *4 *5 *6 *7 *8 *9) + (|partial| -12 (-5 *4 (-663 *11)) (-5 *5 (-663 (-1202 *9))) + (-5 *6 (-663 *9)) (-5 *7 (-663 *12)) (-5 *8 (-663 (-793))) + (-4 *11 (-871)) (-4 *9 (-319)) (-4 *12 (-979 *9 *10 *11)) + (-4 *10 (-815)) (-5 *2 (-663 (-1202 *12))) + (-5 *1 (-729 *10 *11 *9 *12)) (-5 *3 (-1202 *12))))) +(((*1 *2 *3) + (|partial| -12 (-4 *5 (-1069 (-48))) + (-4 *4 (-13 (-571) (-1069 (-560)))) (-4 *5 (-435 *4)) + (-5 *2 (-419 (-1202 (-48)))) (-5 *1 (-449 *4 *5 *3)) + (-4 *3 (-1274 *5))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1033))))) @@ -16338,19 +16212,14 @@ (-3 (|:| I (-326 (-560))) (|:| -1633 (-326 (-391))) (|:| CF (-326 (-171 (-391)))) (|:| |switch| (-1207)))) (-5 *1 (-1207))))) -(((*1 *2 *1 *1) - (-12 - (-5 *2 - (-2 (|:| -4147 *3) (|:| |coef1| (-803 *3)) (|:| |coef2| (-803 *3)))) - (-5 *1 (-803 *3)) (-4 *3 (-571)) (-4 *3 (-1080))))) -(((*1 *2 *3 *1) - (-12 (-4 *4 (-466)) (-4 *5 (-815)) (-4 *6 (-871)) - (-4 *3 (-1096 *4 *5 *6)) (-5 *2 (-663 *1)) - (-4 *1 (-1102 *4 *5 *6 *3))))) -(((*1 *2 *1) (-12 (-5 *2 (-1208)) (-5 *1 (-845))))) -(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *4 *4 *3 *3 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1066)) - (-5 *1 (-774))))) +(((*1 *2 *3) (-12 (-5 *3 (-845)) (-5 *2 (-51)) (-5 *1 (-851))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1154 *3 *4 *2 *5)) (-4 *4 (-1080)) (-4 *5 (-245 *3 *4)) + (-4 *2 (-245 *3 *4))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1135 *3 *4 *5 *6 *7)) (-4 *3 (-1132)) (-4 *4 (-1132)) + (-4 *5 (-1132)) (-4 *6 (-1132)) (-4 *7 (-1132)) (-5 *2 (-114))))) +(((*1 *2 *1) (-12 (-5 *2 (-1186 *3)) (-5 *1 (-177 *3)) (-4 *3 (-319))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-560)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1248)) (-4 *4 (-385 *2)) (-4 *5 (-385 *2)))) @@ -16380,13 +16249,13 @@ (-4 *4 (-13 (-871) (-10 -8 (-15 -1501 ((-1190) $ *3)) (-15 -1898 ((-1304) $)) - (-15 -4134 ((-1304) $))))))) + (-15 -1788 ((-1304) $))))))) ((*1 *1 *1 *2) (-12 (-5 *2 (-1020)) (-5 *1 (-217 *3)) (-4 *3 (-13 (-871) (-10 -8 (-15 -1501 ((-1190) $ (-1208))) (-15 -1898 ((-1304) $)) - (-15 -4134 ((-1304) $))))))) + (-15 -1788 ((-1304) $))))))) ((*1 *2 *1 *3) (-12 (-5 *3 "count") (-5 *2 (-793)) (-5 *1 (-252 *4)) (-4 *4 (-871)))) ((*1 *1 *1 *2) (-12 (-5 *2 "sort") (-5 *1 (-252 *3)) (-4 *3 (-871)))) @@ -16450,19 +16319,19 @@ (-12 (-5 *2 "rest") (-4 *1 (-1287 *3)) (-4 *3 (-1248)))) ((*1 *2 *1 *3) (-12 (-5 *3 "first") (-4 *1 (-1287 *2)) (-4 *2 (-1248))))) -(((*1 *2) (-12 (-4 *1 (-380 *3)) (-4 *3 (-175)) (-5 *2 (-114))))) (((*1 *2 *2) - (-12 (-4 *3 (-466)) (-5 *1 (-1240 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1234)))))) -(((*1 *2 *3 *2) (-12 (-5 *3 (-793)) (-5 *1 (-880 *2)) (-4 *2 (-175)))) - ((*1 *2 *3) - (-12 (-5 *2 (-1202 (-560))) (-5 *1 (-971)) (-5 *3 (-560))))) -(((*1 *1 *1 *2 *3) - (-12 (-5 *2 (-1208)) (-5 *3 (-391)) (-5 *1 (-1094))))) -(((*1 *2 *3 *2 *4) - (-12 (-5 *3 (-711 *2)) (-5 *4 (-793)) - (-4 *2 (-13 (-319) (-10 -8 (-15 -3119 ((-419 $) $))))) - (-4 *5 (-1274 *2)) (-5 *1 (-513 *2 *5 *6)) (-4 *6 (-424 *2 *5))))) + (-12 (-4 *3 (-571)) (-5 *1 (-648 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1033) (-1234))))) + ((*1 *1 *1) (-4 *1 (-649)))) +(((*1 *2 *2 *3) + (|partial| -12 (-5 *3 (-793)) (-4 *1 (-1014 *2)) (-4 *2 (-1234))))) +(((*1 *2 *1 *1) + (-12 (-5 *2 (-2 (|:| -3859 *3) (|:| |coef2| (-803 *3)))) + (-5 *1 (-803 *3)) (-4 *3 (-571)) (-4 *3 (-1080))))) +(((*1 *1 *1 *1) + (-12 (-4 *1 (-1274 *2)) (-4 *2 (-1080)) (-4 *2 (-571))))) +(((*1 *1 *1 *1) + (-12 (-5 *1 (-663 *2)) (-4 *2 (-1132)) (-4 *2 (-1248))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1033))))) @@ -16479,30 +16348,22 @@ (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3)))) ((*1 *1 *1) (-4 *1 (-1237)))) +(((*1 *2) + (-12 (-4 *1 (-355 *3 *4 *5)) (-4 *3 (-1253)) (-4 *4 (-1274 *3)) + (-4 *5 (-1274 (-421 *4))) (-5 *2 (-711 (-421 *4)))))) +(((*1 *2 *3 *3 *4 *5) + (-12 (-5 *3 (-663 (-711 *6))) (-5 *4 (-114)) (-5 *5 (-560)) + (-5 *2 (-711 *6)) (-5 *1 (-1061 *6)) (-4 *6 (-376)) (-4 *6 (-1080)))) + ((*1 *2 *3 *3) + (-12 (-5 *3 (-663 (-711 *4))) (-5 *2 (-711 *4)) (-5 *1 (-1061 *4)) + (-4 *4 (-376)) (-4 *4 (-1080)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *3 (-663 (-711 *5))) (-5 *4 (-560)) (-5 *2 (-711 *5)) + (-5 *1 (-1061 *5)) (-4 *5 (-376)) (-4 *5 (-1080))))) (((*1 *2 *3) - (-12 (-5 *3 (-1186 (-1186 *4))) (-5 *2 (-1186 *4)) (-5 *1 (-1192 *4)) - (-4 *4 (-1080))))) -(((*1 *1 *2) (-12 (-5 *2 (-421 (-560))) (-5 *1 (-501))))) -(((*1 *2 *3 *2) - (|partial| -12 (-5 *3 (-948)) (-5 *1 (-456 *2)) - (-4 *2 (-1274 (-560))))) - ((*1 *2 *3 *2 *4) - (|partial| -12 (-5 *3 (-948)) (-5 *4 (-793)) (-5 *1 (-456 *2)) - (-4 *2 (-1274 (-560))))) - ((*1 *2 *3 *2 *4) - (|partial| -12 (-5 *3 (-948)) (-5 *4 (-663 (-793))) (-5 *1 (-456 *2)) - (-4 *2 (-1274 (-560))))) - ((*1 *2 *3 *2 *4 *5) - (|partial| -12 (-5 *3 (-948)) (-5 *4 (-663 (-793))) (-5 *5 (-793)) - (-5 *1 (-456 *2)) (-4 *2 (-1274 (-560))))) - ((*1 *2 *3 *2 *4 *5 *6) - (|partial| -12 (-5 *3 (-948)) (-5 *4 (-663 (-793))) (-5 *5 (-793)) - (-5 *6 (-114)) (-5 *1 (-456 *2)) (-4 *2 (-1274 (-560))))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-948)) (-5 *4 (-419 *2)) (-4 *2 (-1274 *5)) - (-5 *1 (-458 *5 *2)) (-4 *5 (-1080))))) -(((*1 *1 *2) - (-12 (-5 *2 (-663 (-560))) (-5 *1 (-1035 *3)) (-14 *3 (-560))))) + (-12 (-4 *4 (-571)) (-5 *2 (-793)) (-5 *1 (-43 *4 *3)) + (-4 *3 (-432 *4))))) +(((*1 *1) (-5 *1 (-623)))) (((*1 *2 *2) (-12 (-5 *2 @@ -16510,16 +16371,21 @@ (-255 *3 (-421 (-560))))) (-14 *3 (-663 (-1208))) (-14 *4 (-793)) (-5 *1 (-519 *3 *4))))) (((*1 *2 *1) (-12 (-4 *1 (-403)) (-5 *2 (-1190))))) -(((*1 *1 *1) - (-12 (-4 *1 (-1318 *2 *3)) (-4 *2 (-871)) (-4 *3 (-1080)))) - ((*1 *1 *1) - (-12 (-5 *1 (-1322 *2 *3)) (-4 *2 (-1080)) (-4 *3 (-868))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-1186 *3)) (-4 *3 (-1080)) (-5 *1 (-1192 *3))))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-51)) (-5 *1 (-915 *3)) (-4 *3 (-1132)))) + ((*1 *2 *2 *3) + (-12 (-5 *2 (-915 *4)) (-4 *4 (-1132)) (-5 *1 (-916 *4 *3)) + (-4 *3 (-1248))))) +(((*1 *2 *2) + (-12 (-5 *2 (-972 *3)) (-4 *3 (-13 (-376) (-1234) (-1033))) + (-5 *1 (-179 *3))))) (((*1 *2 *3) - (-12 (-5 *3 (-663 (-948))) (-5 *2 (-934 (-560))) (-5 *1 (-946))))) -(((*1 *2 *1 *1) (-12 (-4 *1 (-571)) (-5 *2 (-114))))) -(((*1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1248))))) + (-12 (-5 *3 (-1166)) (-5 *2 (-713 (-292))) (-5 *1 (-170))))) +(((*1 *2 *2 *2 *2 *3) + (-12 (-4 *3 (-571)) (-5 *1 (-1000 *3 *2)) (-4 *2 (-1274 *3))))) +(((*1 *2 *2 *2) + (-12 (-5 *2 (-711 *3)) + (-4 *3 (-13 (-319) (-10 -8 (-15 -2353 ((-419 $) $))))) + (-4 *4 (-1274 *3)) (-5 *1 (-513 *3 *4 *5)) (-4 *5 (-424 *3 *4))))) (((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-915 *3)) (-4 *3 (-1132)))) ((*1 *2 *1) (-12 (-4 *1 (-1152 *3)) (-4 *3 (-1248)) (-5 *2 (-793))))) (((*1 *2 *2) @@ -16541,18 +16407,15 @@ (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3)))) ((*1 *1 *1) (-4 *1 (-1237)))) -(((*1 *2 *3 *3 *4 *5 *5 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-1190)) (-5 *5 (-711 (-229))) - (-5 *2 (-1066)) (-5 *1 (-769))))) -(((*1 *2 *3 *4 *5 *4 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *7 *4) - (-12 (-5 *3 (-1190)) (-5 *5 (-711 (-229))) (-5 *6 (-229)) - (-5 *7 (-711 (-560))) (-5 *4 (-560)) (-5 *2 (-1066)) (-5 *1 (-774))))) -(((*1 *2 *2 *3) - (|partial| -12 (-5 *2 (-663 (-495 *4 *5))) (-5 *3 (-663 (-888 *4))) - (-14 *4 (-663 (-1208))) (-4 *5 (-466)) (-5 *1 (-485 *4 *5 *6)) - (-4 *6 (-466))))) -(((*1 *1 *2 *2) - (-12 (-5 *2 (-663 (-560))) (-5 *1 (-1035 *3)) (-14 *3 (-560))))) +(((*1 *2 *3) + (-12 (-5 *3 (-560)) (-4 *4 (-1274 (-421 *3))) (-5 *2 (-948)) + (-5 *1 (-942 *4 *5)) (-4 *5 (-1274 (-421 *4)))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-391)) (-5 *2 (-1304)) (-5 *1 (-1302))))) +(((*1 *1 *2 *3) + (-12 (-5 *1 (-443 *3 *2)) (-4 *3 (-13 (-175) (-38 (-421 (-560))))) + (-4 *2 (-13 (-871) (-21)))))) +(((*1 *2 *1) (-12 (-5 *2 (-520)) (-5 *1 (-539)))) + ((*1 *2 *1) (-12 (-5 *2 (-520)) (-5 *1 (-1184))))) (((*1 *2 *3) (-12 (-5 *2 (-391)) (-5 *1 (-807 *3)) (-4 *3 (-633 *2)))) ((*1 *2 *3 *4) (-12 (-5 *4 (-948)) (-5 *2 (-391)) (-5 *1 (-807 *3)) @@ -16575,28 +16438,43 @@ ((*1 *2 *3 *4) (-12 (-5 *3 (-326 *5)) (-5 *4 (-948)) (-4 *5 (-571)) (-4 *5 (-871)) (-4 *5 (-633 *2)) (-5 *2 (-391)) (-5 *1 (-807 *5))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-948)) (-5 *2 (-482)) (-5 *1 (-1301))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-663 *6)) (-4 *1 (-979 *4 *5 *6)) (-4 *4 (-1080)) - (-4 *5 (-815)) (-4 *6 (-871)) (-5 *2 (-793)))) - ((*1 *2 *1) - (-12 (-4 *1 (-979 *3 *4 *5)) (-4 *3 (-1080)) (-4 *4 (-815)) - (-4 *5 (-871)) (-5 *2 (-793))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-13 (-319) (-149))) (-4 *5 (-13 (-871) (-633 (-1208)))) - (-4 *6 (-815)) (-5 *2 (-663 (-663 (-560)))) - (-5 *1 (-953 *4 *5 *6 *7)) (-5 *3 (-560)) (-4 *7 (-979 *4 *6 *5))))) -(((*1 *2 *2) - (-12 (-5 *2 (-663 *7)) (-4 *7 (-1102 *3 *4 *5 *6)) (-4 *3 (-466)) - (-4 *4 (-815)) (-4 *5 (-871)) (-4 *6 (-1096 *3 *4 *5)) - (-5 *1 (-1019 *3 *4 *5 *6 *7)))) - ((*1 *2 *2) - (-12 (-5 *2 (-663 *7)) (-4 *7 (-1102 *3 *4 *5 *6)) (-4 *3 (-466)) - (-4 *4 (-815)) (-4 *5 (-871)) (-4 *6 (-1096 *3 *4 *5)) - (-5 *1 (-1138 *3 *4 *5 *6 *7))))) +(((*1 *2 *3 *4 *3) + (|partial| -12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1274 *5)) (-4 *5 (-376)) + (-5 *2 (-2 (|:| -2008 (-421 *6)) (|:| |coeff| (-421 *6)))) + (-5 *1 (-588 *5 *6)) (-5 *3 (-421 *6))))) +(((*1 *2 *3) + (-12 (-4 *3 (-13 (-319) (-10 -8 (-15 -2353 ((-419 $) $))))) + (-4 *4 (-1274 *3)) + (-5 *2 + (-2 (|:| -3970 (-711 *3)) (|:| |basisDen| *3) + (|:| |basisInv| (-711 *3)))) + (-5 *1 (-364 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(-4 *5 (-571)) + (-4 *6 (-815)) (-4 *7 (-871)) (-4 *8 (-1096 *5 *6 *7))))) +(((*1 *2 *3) (-12 (-5 *3 (-560)) (-5 *2 (-1304)) (-5 *1 (-1037))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1033))))) @@ -16617,57 +16495,157 @@ (-12 (-5 *2 (-1186 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1194 *3)))) ((*1 *1 *1) (-4 *1 (-1237)))) -(((*1 *2 *3 *4 *5 *3) - (-12 (-5 *4 (-1 *7 *7)) - (-5 *5 - (-1 (-2 (|:| |ans| *6) (|:| -1448 *6) (|:| |sol?| (-114))) (-560) - *6)) - (-4 *6 (-376)) (-4 *7 (-1274 *6)) - (-5 *2 - (-3 (-2 (|:| |answer| (-421 *7)) (|:| |a0| *6)) - (-2 (|:| -4334 (-421 *7)) (|:| |coeff| (-421 *7))) "failed")) - (-5 *1 (-588 *6 *7)) (-5 *3 (-421 *7))))) -(((*1 *2 *1 *1) (-12 (-5 *2 (-114)) (-5 *1 (-694 *3)) (-4 *3 (-871)))) - ((*1 *2 *1 *1) (-12 (-5 *2 (-114)) (-5 *1 (-699 *3)) (-4 *3 (-871)))) - ((*1 *2 *1 *1) (-12 (-5 *2 (-114)) (-5 *1 (-841 *3)) (-4 *3 (-871))))) +(((*1 *2 *3 *3 *4 *3 *3 *3 *3 *3 *3 *3 *5 *3 *6 *7) + (-12 (-5 *3 (-560)) (-5 *5 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