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authordos-reis <gdr@axiomatics.org>2010-07-22 21:44:34 +0000
committerdos-reis <gdr@axiomatics.org>2010-07-22 21:44:34 +0000
commit024f4b2055594e528ec98e733bd50684b2366db0 (patch)
treecf3da9fdf92fe71c354e720428fa4f4c43bb98b1
parent510c2f70ce377d60eed221e46294767f7f548f5d (diff)
downloadopen-axiom-024f4b2055594e528ec98e733bd50684b2366db0.tar.gz
* interp/g-util.boot (expandIeq): New expander for %ieq.
* interp/g-opt.boot (optIeq): New. (optIadd): Likewise. (optIsub): Likewise. (optImul): Likewise. (optIneg): Likewise. (lispize): Remove.
Diffstat
-rw-r--r--src/ChangeLog10
-rw-r--r--src/algebra/strap/DFLOAT.lsp2
-rw-r--r--src/algebra/strap/FFIELDC-.lsp5
-rw-r--r--src/algebra/strap/GCDDOM-.lsp27
-rw-r--r--src/algebra/strap/INT.lsp2
-rw-r--r--src/algebra/strap/ISTRING.lsp2
-rw-r--r--src/algebra/strap/POLYCAT-.lsp12
-rw-r--r--src/algebra/strap/RNS-.lsp2
-rw-r--r--src/interp/define.boot2
-rw-r--r--src/interp/g-opt.boot33
-rw-r--r--src/interp/g-timer.boot4
-rw-r--r--src/interp/g-util.boot9
-rw-r--r--src/interp/nruncomp.boot2
-rw-r--r--src/share/algebra/browse.daase646
-rw-r--r--src/share/algebra/category.daase1576
-rw-r--r--src/share/algebra/compress.daase1346
-rw-r--r--src/share/algebra/interp.daase9132
-rw-r--r--src/share/algebra/operation.daase30482
18 files changed, 21667 insertions, 21627 deletions
diff --git a/src/ChangeLog b/src/ChangeLog
index accd5363..78f7dc8e 100644
--- a/src/ChangeLog
+++ b/src/ChangeLog
@@ -1,5 +1,15 @@
2010-07-22 Gabriel Dos Reis <gdr@cs.tamu.edu>
+ * interp/g-util.boot (expandIeq): New expander for %ieq.
+ * interp/g-opt.boot (optIeq): New.
+ (optIadd): Likewise.
+ (optIsub): Likewise.
+ (optImul): Likewise.
+ (optIneg): Likewise.
+ (lispize): Remove.
+
+2010-07-22 Gabriel Dos Reis <gdr@cs.tamu.edu>
+
* interp/g-opt.boot (simplifyVMForm): New.
(optRetract): Simplify the predicate when possible.
(optNot): New transformer.
diff --git a/src/algebra/strap/DFLOAT.lsp b/src/algebra/strap/DFLOAT.lsp
index 6f32c302..8f162868 100644
--- a/src/algebra/strap/DFLOAT.lsp
+++ b/src/algebra/strap/DFLOAT.lsp
@@ -763,7 +763,7 @@
(+ (* |q| |q1|) |q0|)
|DFLOAT;rationalApproximation;$2NniF;87|)
(COND
- ((OR (EQL |r| 0)
+ ((OR (ZEROP |r|)
(<
(SPADCALL |tol|
(ABS
diff --git a/src/algebra/strap/FFIELDC-.lsp b/src/algebra/strap/FFIELDC-.lsp
index 1c17371d..12fb4f77 100644
--- a/src/algebra/strap/FFIELDC-.lsp
+++ b/src/algebra/strap/FFIELDC-.lsp
@@ -298,10 +298,9 @@
|FFIELDC-;discreteLog;SNni;11|)
(EXIT
(COND
- ((EQL
+ ((ZEROP
(CAR
- |rho|)
- 0)
+ |rho|))
(SEQ
(SETQ
|found|
diff --git a/src/algebra/strap/GCDDOM-.lsp b/src/algebra/strap/GCDDOM-.lsp
index ff12789d..34e0980e 100644
--- a/src/algebra/strap/GCDDOM-.lsp
+++ b/src/algebra/strap/GCDDOM-.lsp
@@ -29,7 +29,7 @@
(|getShellEntry| $ 12))
|GCDDOM-;lcm;3S;1|)
(EXIT (COND
- ((EQL (CAR LCM) 0)
+ ((ZEROP (CAR LCM))
(SPADCALL |x| (CDR LCM)
(|getShellEntry| $ 13)))
('T (|error| "bad gcd in lcm computation")))))))))))
@@ -59,7 +59,7 @@
(LET ((#0=#:G1418
(SPADCALL |p1| |c1|
(|getShellEntry| $ 27))))
- (|check-union| (EQL (CAR #0#) 0)
+ (|check-union| (ZEROP (CAR #0#))
(|SparseUnivariatePolynomial|
(|getShellEntry| $ 6))
#0#)
@@ -67,7 +67,7 @@
(SETQ |p2|
(LET ((#0# (SPADCALL |p2| |c2|
(|getShellEntry| $ 27))))
- (|check-union| (EQL (CAR #0#) 0)
+ (|check-union| (ZEROP (CAR #0#))
(|SparseUnivariatePolynomial|
(|getShellEntry| $ 6))
#0#)
@@ -86,7 +86,7 @@
(|getShellEntry| $ 34))
(|getShellEntry| $ 35))))
(|check-union|
- (EQL (CAR #0#) 0)
+ (ZEROP (CAR #0#))
(|SparseUnivariatePolynomial|
(|getShellEntry| $ 6))
#0#)
@@ -105,7 +105,7 @@
(|getShellEntry| $ 34))
(|getShellEntry| $ 35))))
(|check-union|
- (EQL (CAR #0#) 0)
+ (ZEROP (CAR #0#))
(|SparseUnivariatePolynomial|
(|getShellEntry| $ 6))
#0#)
@@ -116,12 +116,10 @@
(SPADCALL |c1| |c2| (|getShellEntry| $ 10)))
(SETQ |p1|
(COND
- ((OR (EQL (SPADCALL |p1|
- (|getShellEntry| $ 37))
- 0)
- (EQL (SPADCALL |p2|
- (|getShellEntry| $ 37))
- 0))
+ ((OR (ZEROP (SPADCALL |p1|
+ (|getShellEntry| $ 37)))
+ (ZEROP (SPADCALL |p2|
+ (|getShellEntry| $ 37))))
(SPADCALL |c1| 0 (|getShellEntry| $ 34)))
('T
(SEQ (LETT |p|
@@ -129,10 +127,9 @@
(|getShellEntry| $ 39))
|GCDDOM-;gcdPolynomial;3Sup;4|)
(EXIT (COND
- ((EQL
+ ((ZEROP
(SPADCALL |p|
- (|getShellEntry| $ 37))
- 0)
+ (|getShellEntry| $ 37)))
(SPADCALL |c1| 0
(|getShellEntry| $ 34)))
('T
@@ -160,7 +157,7 @@
(|getShellEntry| $
27))))
(|check-union|
- (EQL (CAR #0#) 0)
+ (ZEROP (CAR #0#))
(|SparseUnivariatePolynomial|
(|getShellEntry| $
6))
diff --git a/src/algebra/strap/INT.lsp b/src/algebra/strap/INT.lsp
index 28fee72a..c294d8df 100644
--- a/src/algebra/strap/INT.lsp
+++ b/src/algebra/strap/INT.lsp
@@ -476,7 +476,7 @@
(SPADCALL |pp|
(|getShellEntry| $ 108))
(|getShellEntry| $ 112))))
- (|check-union| (EQL (CAR #0#) 0) $ #0#)
+ (|check-union| (ZEROP (CAR #0#)) $ #0#)
(CDR #0#))
(|getShellEntry| $ 114))
(|getShellEntry| $ 118))
diff --git a/src/algebra/strap/ISTRING.lsp b/src/algebra/strap/ISTRING.lsp
index e8a3de19..e1760a16 100644
--- a/src/algebra/strap/ISTRING.lsp
+++ b/src/algebra/strap/ISTRING.lsp
@@ -134,7 +134,7 @@
(DEFUN |ISTRING;empty;$;2| ($) (MAKE-FULL-CVEC 0))
-(DEFUN |ISTRING;empty?;$B;3| (|s| $) (EQL (QCSIZE |s|) 0))
+(DEFUN |ISTRING;empty?;$B;3| (|s| $) (ZEROP (QCSIZE |s|)))
(DEFUN |ISTRING;#;$Nni;4| (|s| $) (DECLARE (IGNORE $)) (QCSIZE |s|))
diff --git a/src/algebra/strap/POLYCAT-.lsp b/src/algebra/strap/POLYCAT-.lsp
index ca0cad36..30873d70 100644
--- a/src/algebra/strap/POLYCAT-.lsp
+++ b/src/algebra/strap/POLYCAT-.lsp
@@ -308,7 +308,7 @@
(DEFUN |POLYCAT-;retract;SVarSet;9| (|p| $)
(LET ((|q| (LET ((#0=#:G1478 (SPADCALL |p| (|getShellEntry| $ 53))))
- (|check-union| (EQL (CAR #0#) 0) (|getShellEntry| $ 9)
+ (|check-union| (ZEROP (CAR #0#)) (|getShellEntry| $ 9)
#0#)
(CDR #0#))))
(COND
@@ -324,7 +324,7 @@
(SPADCALL |p| (|getShellEntry| $ 53))
|POLYCAT-;retractIfCan;SU;10|)
(EXIT (COND
- ((EQL (CAR |q|) 0)
+ ((ZEROP (CAR |q|))
(COND
((SPADCALL
(SPADCALL (CDR |q|)
@@ -362,7 +362,7 @@
(LET ((#0=#:G1492
(SPADCALL |p|
(|getShellEntry| $ 53))))
- (|check-union| (EQL (CAR #0#) 0)
+ (|check-union| (ZEROP (CAR #0#))
(|getShellEntry| $ 9) #0#)
(CDR #0#))
(|getShellEntry| $ 59))
@@ -400,7 +400,7 @@
((#0=#:G1500
(SPADCALL |p|
(|getShellEntry| $ 53))))
- (|check-union| (EQL (CAR #0#) 0)
+ (|check-union| (ZEROP (CAR #0#))
(|getShellEntry| $ 9) #0#)
(CDR #0#))
|POLYCAT-;totalDegree;SLNni;14|)
@@ -1055,7 +1055,7 @@
(SPADCALL |p|
(SPADCALL |p| (|getShellEntry| $ 206))
(|getShellEntry| $ 207))))
- (|check-union| (EQL (CAR #0#) 0) (|getShellEntry| $ 6)
+ (|check-union| (ZEROP (CAR #0#)) (|getShellEntry| $ 6)
#0#)
(CDR #0#))
(|getShellEntry| $ 209))
@@ -1067,7 +1067,7 @@
(SPADCALL |p|
(SPADCALL |p| |v| (|getShellEntry| $ 211))
(|getShellEntry| $ 212))))
- (|check-union| (EQL (CAR #0#) 0) (|getShellEntry| $ 6)
+ (|check-union| (ZEROP (CAR #0#)) (|getShellEntry| $ 6)
#0#)
(CDR #0#))
(|getShellEntry| $ 209))
diff --git a/src/algebra/strap/RNS-.lsp b/src/algebra/strap/RNS-.lsp
index 18ebf104..e7be74cf 100644
--- a/src/algebra/strap/RNS-.lsp
+++ b/src/algebra/strap/RNS-.lsp
@@ -110,7 +110,7 @@
(SEQ (LETT |r| (SPADCALL |p| (|getShellEntry| $ 51))
|RNS-;patternMatch;SP2Pmr;10|)
(EXIT (COND
- ((EQL (CAR |r|) 0)
+ ((ZEROP (CAR |r|))
(COND
((SPADCALL
(SPADCALL |x|
diff --git a/src/interp/define.boot b/src/interp/define.boot
index dbd8bfc7..c2f08f1d 100644
--- a/src/interp/define.boot
+++ b/src/interp/define.boot
@@ -1414,7 +1414,7 @@ compSubDomain1(domainForm,predicate,m,e) ==
compCompilerPredicate(predicate,e) or
stackSemanticError(["predicate: ",predicate,
" cannot be interpreted with #1: ",domainForm],nil)
- pred := lispize u.expr
+ pred := simplifyVMForm u.expr
-- For now, reject predicates that directly reference domains
CONTAINED("$",pred) =>
stackAndThrow('"predicate %1pb is not simple enough",[predicate])
diff --git a/src/interp/g-opt.boot b/src/interp/g-opt.boot
index b29d9034..1c8964f6 100644
--- a/src/interp/g-opt.boot
+++ b/src/interp/g-opt.boot
@@ -694,6 +694,12 @@ optOr(x is ['%or,a,b]) ==
a = '%true => '%true
x
+optIeq(x is ['%ieq,a,b]) ==
+ integer? a and integer? b =>
+ a = b => '%true
+ '%false
+ x
+
optIlt(x is ['%ilt,a,b]) ==
integer? a and integer? b =>
a < b => '%true
@@ -709,11 +715,27 @@ optIgt x ==
optIge x ==
optNot ['%not,optIlt ['%ilt,second x,third x]]
---%
+--% Integer operations
-lispize x == simplifyVMForm x
-
+optIadd(x is ['%iadd,a,b]) ==
+ integer? a and integer? b => a + b
+ x
+
+optIsub(x is ['%isub,a,b]) ==
+ integer? a and integer? b => a - b
+ x
+
+optImul(x is ['%imul,a,b]) ==
+ integer? a and integer? b => a * b
+ x
+
+optIneg(x is ['%ineg,a]) ==
+ integer? a => -a
+ x
+
+--%
--% optimizer hash table
+--%
for x in '( (%call optCall) _
(SEQ optSEQ)_
@@ -723,10 +745,15 @@ for x in '( (%call optCall) _
(%not optNot)_
(%and optAnd)_
(%or optOr)_
+ (%ieq optIeq)_
(%ilt optIlt)_
(%ile optIle)_
(%igt optIgt)_
(%ige optIge)_
+ (%ineg optIneg)_
+ (%iadd optIadd)_
+ (%isub optIsub)_
+ (%imul optImul)_
(LIST optLIST)_
(MINUS optMINUS)_
(QSMINUS optQSMINUS)_
diff --git a/src/interp/g-timer.boot b/src/interp/g-timer.boot
index edd7020d..9f1fd02f 100644
--- a/src/interp/g-timer.boot
+++ b/src/interp/g-timer.boot
@@ -246,9 +246,9 @@ timedAlgebraEvaluation(code) ==
timedOptimization(code) ==
startTimingProcess 'optimization
$getDomainCode : local := NIL
- r := lispize code
+ r := simplifyVMForm code
if $reportOptimization then
- sayBrightlyI bright '"Optimized LISP code:"
+ sayBrightlyI bright '"Optimized intermediate code:"
pp r
stopTimingProcess 'optimization
r
diff --git a/src/interp/g-util.boot b/src/interp/g-util.boot
index 012a9ccc..669998cd 100644
--- a/src/interp/g-util.boot
+++ b/src/interp/g-util.boot
@@ -250,6 +250,13 @@ expandIneg ['%ineg,x] ==
integer? x => -x
['_-,x]
+expandIeq ['%ieq,a,b] ==
+ a := expandToVMForm a
+ integer? a and a = 0 => ['ZEROP,expandToVMForm b]
+ b := expandToVMForm b
+ integer? b and b = 0 => ['ZEROP,a]
+ ['EQL,a,b]
+
expandIlt ['%ilt,x,y] ==
integer? x and x = 0 =>
integer? y => y > 0
@@ -358,7 +365,6 @@ for x in [
['%ismall?, :'FIXNUMP],
-- binary integer operations.
['%iadd,:"+"],
- ['%ieq, :"EQL"],
['%igcd,:'GCD],
['%ige, :">="],
['%iinc,:"1+"],
@@ -437,6 +443,7 @@ for x in [
['%bge, :function expandBge],
['%bcompl, :function expandBcompl],
+ ['%ieq, :function expandIeq],
['%igt, :function expandIgt],
['%ilt, :function expandIlt],
['%ineg, :function expandIneg],
diff --git a/src/interp/nruncomp.boot b/src/interp/nruncomp.boot
index 4c5c3b11..965c851f 100644
--- a/src/interp/nruncomp.boot
+++ b/src/interp/nruncomp.boot
@@ -129,7 +129,7 @@ NRTencode(x,y) == encode(x,y,true) where encode(x,compForm,firstTime) ==
-- enumeration constants are like field names, they do not need
-- to be encoded.
op = "Enumeration" => x
- ["NRTEVAL",NRTreplaceAllLocalReferences COPY_-TREE lispize compForm]
+ ["NRTEVAL",NRTreplaceAllLocalReferences COPY_-TREE simplifyVMForm compForm]
MEMQ(x,$formalArgList) =>
v := $FormalMapVariableList.(POSN1(x,$formalArgList))
firstTime => ["local",v]
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index b5dad787..abfaa051 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
-(2296416 . 3488491117)
+(2299819 . 3488813772)
(-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
@@ -56,7 +56,7 @@ NIL
((|constructor| (NIL "This domain represents the syntax for an add-expression.")) (|body| (((|SpadAst|) $) "base(\\spad{d}) returns the actual body of the add-domain expression \\spad{`d'}.")) (|base| (((|SpadAst|) $) "\\spad{base(d)} returns the base domain(\\spad{s}) of the add-domain expression.")))
NIL
NIL
-(-32 R -2057)
+(-32 R -2068)
((|constructor| (NIL "This package provides algebraic functions over an integral domain.")) (|iroot| ((|#2| |#1| (|Integer|)) "\\spad{iroot(p, n)} should be a non-exported function.")) (|definingPolynomial| ((|#2| |#2|) "\\spad{definingPolynomial(f)} returns the defining polynomial of \\spad{f} as an element of \\spad{F}. Error: if \\spad{f} is not a kernel.")) (|minPoly| (((|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{minPoly(k)} returns the defining polynomial of \\spad{k}.")) (** ((|#2| |#2| (|Fraction| (|Integer|))) "\\spad{x ** q} is \\spad{x} raised to the rational power \\spad{q}.")) (|droot| (((|OutputForm|) (|List| |#2|)) "\\spad{droot(l)} should be a non-exported function.")) (|inrootof| ((|#2| (|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{inrootof(p, x)} should be a non-exported function.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}. Error: if \\spad{op} is not an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|rootOf| ((|#2| (|SparseUnivariatePolynomial| |#2|) (|Symbol|)) "\\spad{rootOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}.")))
NIL
((|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))))
@@ -88,11 +88,11 @@ NIL
((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p, [a1,...,an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an.")))
NIL
NIL
-(-40 -2057 UP UPUP -3351)
+(-40 -2068 UP UPUP -3700)
((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}")))
((-4492 |has| (-420 |#2|) (-375)) (-4497 |has| (-420 |#2|) (-375)) (-4491 |has| (-420 |#2|) (-375)) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| (-420 |#2|) (QUOTE (-146))) (|HasCategory| (-420 |#2|) (QUOTE (-148))) (|HasCategory| (-420 |#2|) (QUOTE (-361))) (-2867 (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-380))) (-2867 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2867 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2867 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-361))))) (-2867 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -659) (QUOTE (-577)))) (-2867 (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))))
-(-41 R -2057)
+((|HasCategory| (-420 |#2|) (QUOTE (-146))) (|HasCategory| (-420 |#2|) (QUOTE (-148))) (|HasCategory| (-420 |#2|) (QUOTE (-361))) (-2816 (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-380))) (-2816 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2816 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2816 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-361))))) (-2816 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -659) (QUOTE (-577)))) (-2816 (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))))
+(-41 R -2068)
((|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}\\spad{'s} which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'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
((-12 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -443) (|devaluate| |#1|)))))
@@ -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.")))
((-4499 . T) (-4500 . T))
-((-2867 (-12 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4376) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2727) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4376) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2727) (|devaluate| |#2|))))))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-870))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4376) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2727) (|devaluate| |#2|)))))))
+((-2816 (-12 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3988) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3988) (|devaluate| |#2|))))))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-870))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3988) (|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| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}.")))
NIL
@@ -144,7 +144,7 @@ NIL
((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}.")))
NIL
NIL
-(-54 |Base| R -2057)
+(-54 |Base| R -2068)
((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression.")))
NIL
NIL
@@ -167,64 +167,64 @@ NIL
(-59 S)
((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|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}")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-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\\spad{'s}.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
-(-61 -2758)
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+(-61 -2721)
((|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
-(-62 -2758)
+(-62 -2721)
((|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
-(-63 -2758)
+(-63 -2721)
((|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
-(-64 -2758)
+(-64 -2721)
((|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
-(-65 -2758)
+(-65 -2721)
((|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 -2758)
+(-66 -2721)
((|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 -2758)
+(-67 -2721)
((|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 -2758)
+(-68 -2721)
((|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 -2758)
+(-69 -2721)
((|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 -2758)
+(-70 -2721)
((|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 -2758)
+(-71 -2721)
((|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 -2758)
+(-72 -2721)
((|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 -2758)
+(-73 -2721)
((|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 -2758)
+(-74 -2721)
((|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
@@ -236,55 +236,55 @@ 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 \\spad{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
-(-77 -2758)
+(-77 -2721)
((|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
-(-78 -2758)
+(-78 -2721)
((|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
-(-79 -2758)
+(-79 -2721)
((|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 -2758)
+(-80 -2721)
((|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 -2758)
+(-81 -2721)
((|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 -2758)
+(-82 -2721)
((|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
-(-83 -2758)
+(-83 -2721)
((|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
-(-84 -2758)
+(-84 -2721)
((|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
-(-85 -2758)
+(-85 -2721)
((|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
-(-86 -2758)
+(-86 -2721)
((|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
-(-87 -2758)
+(-87 -2721)
((|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
-(-88 -2758)
+(-88 -2721)
((|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
-(-89 -2758)
+(-89 -2721)
((|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}.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|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 \\spad{pl} and \\spad{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{:=} \\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 \\spad{ls}.")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\spad{balancedBinaryTree(n, s)} creates a balanced binary tree with \\spad{n} nodes each with value \\spad{s}.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| (-577) (QUOTE (-937))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1052))) (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870))) (-2867 (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870)))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1182))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (-2867 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (|HasCategory| (-577) (QUOTE (-146)))))
+((|HasCategory| (-577) (QUOTE (-937))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1052))) (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870))) (-2816 (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870)))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1182))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (|HasCategory| (-577) (QUOTE (-146)))))
(-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 \\spad{`n'} and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}")))
NIL
@@ -392,7 +392,7 @@ NIL
((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op, l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op, p, v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op, s, v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op, p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op, s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op, p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op, s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op, p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op, foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to InputForm as \\spad{f(a1,...,an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to OutputForm as \\spad{f(a1,...,an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op, foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op, foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op, n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f, a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f, n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}.")))
NIL
NIL
-(-116 -2057 UP)
+(-116 -2068 UP)
((|constructor| (NIL "\\spadtype{BoundIntegerRoots} provides functions to find lower bounds on the integer roots of a polynomial.")) (|integerBound| (((|Integer|) |#2|) "\\spad{integerBound(p)} returns a lower bound on the negative integer roots of \\spad{p},{} and 0 if \\spad{p} has no negative integer roots.")))
NIL
NIL
@@ -403,7 +403,7 @@ NIL
(-118 |p|)
((|constructor| (NIL "Stream-based implementation of \\spad{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}.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| (-117 |#1|) (QUOTE (-937))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-117 |#1|) (QUOTE (-1052))) (|HasCategory| (-117 |#1|) (QUOTE (-841))) (|HasCategory| (-117 |#1|) (QUOTE (-870))) (-2867 (|HasCategory| (-117 |#1|) (QUOTE (-841))) (|HasCategory| (-117 |#1|) (QUOTE (-870)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-1182))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-117 |#1|) (QUOTE (-239))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -527) (QUOTE (-1206)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -320) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -297) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-318))) (|HasCategory| (-117 |#1|) (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-937)))) (-2867 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-937)))) (|HasCategory| (-117 |#1|) (QUOTE (-146)))))
+((|HasCategory| (-117 |#1|) (QUOTE (-937))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-117 |#1|) (QUOTE (-1052))) (|HasCategory| (-117 |#1|) (QUOTE (-841))) (|HasCategory| (-117 |#1|) (QUOTE (-870))) (-2816 (|HasCategory| (-117 |#1|) (QUOTE (-841))) (|HasCategory| (-117 |#1|) (QUOTE (-870)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-1182))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-117 |#1|) (QUOTE (-239))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -527) (QUOTE (-1206)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -320) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -297) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-318))) (|HasCategory| (-117 |#1|) (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-937)))) (|HasCategory| (-117 |#1|) (QUOTE (-146)))))
(-119 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" $) "\\spad{setelt(a,\"right\",b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,\"left\",b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "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
@@ -419,7 +419,7 @@ NIL
(-122 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")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-123 S)
((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")))
NIL
@@ -439,15 +439,15 @@ NIL
(-127 S)
((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#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.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-128 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.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-129)
((|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 \\spad{`n'}. The array can then store up to \\spad{`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 \\spad{`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.")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| (-130) (QUOTE (-870))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130)))))) (-2867 (-12 (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-130) (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| (-130) (QUOTE (-870))) (|HasCategory| (-130) (QUOTE (-1130)))) (|HasCategory| (-130) (QUOTE (-870))) (-2867 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-870))) (|HasCategory| (-130) (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))))
+((-2816 (-12 (|HasCategory| (-130) (QUOTE (-870))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130)))))) (-2816 (-12 (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-130) (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| (-130) (QUOTE (-870))) (|HasCategory| (-130) (QUOTE (-1130)))) (|HasCategory| (-130) (QUOTE (-870))) (-2816 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-870))) (|HasCategory| (-130) (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1130))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))))
(-130)
((|constructor| (NIL "Byte is the datatype of 8-bit sized unsigned integer values.")) (|sample| (($) "\\spad{sample} gives a sample datum of type Byte.")) (|bitior| (($ $ $) "bitor(\\spad{x},{}\\spad{y}) returns the bitwise `inclusive or' of \\spad{`x'} and \\spad{`y'}.")) (|bitand| (($ $ $) "\\spad{bitand(x,y)} returns the bitwise `and' of \\spad{`x'} and \\spad{`y'}.")) (|byte| (($ (|NonNegativeInteger|)) "\\spad{byte(x)} injects the unsigned integer value \\spad{`v'} into the Byte algebra. \\spad{`v'} must be non-negative and less than 256.")))
NIL
@@ -472,11 +472,11 @@ 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") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative.")))
(((-4501 "*") . T))
NIL
-(-136 |minix| -3651 S T$)
+(-136 |minix| -3746 S T$)
((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}.")))
NIL
NIL
-(-137 |minix| -3651 R)
+(-137 |minix| -3746 R)
((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\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
@@ -499,7 +499,7 @@ NIL
(-142)
((|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}.")))
((-4499 . T) (-4489 . T) (-4500 . T))
-((-2867 (-12 (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))))
+((-2816 (-12 (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))))
(-143 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}\\spad{'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}\\spad{'s}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}.")))
NIL
@@ -524,7 +524,7 @@ NIL
((|constructor| (NIL "Rings of Characteristic Zero.")))
((-4496 . T))
NIL
-(-149 -2057 UP UPUP)
+(-149 -2068 UP UPUP)
((|constructor| (NIL "Tools to send a point to infinity on an algebraic curve.")) (|chvar| (((|Record| (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) |#3| |#3|) "\\spad{chvar(f(x,y), p(x,y))} returns \\spad{[g(z,t), q(z,t), c1(z), c2(z), n]} such that under the change of variable \\spad{x = c1(z)},{} \\spad{y = t * c2(z)},{} one gets \\spad{f(x,y) = g(z,t)}. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{z} and \\spad{t} is \\spad{q(z, t) = 0}.")) (|eval| ((|#3| |#3| (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{eval(p(x,y), f(x), g(x))} returns \\spad{p(f(x), y * g(x))}.")) (|goodPoint| ((|#1| |#3| |#3|) "\\spad{goodPoint(p, q)} returns an integer a such that a is neither a pole of \\spad{p(x,y)} nor a branch point of \\spad{q(x,y) = 0}.")) (|rootPoly| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| (|Fraction| |#2|)) (|:| |radicand| |#2|)) (|Fraction| |#2|) (|NonNegativeInteger|)) "\\spad{rootPoly(g, n)} returns \\spad{[m, c, P]} such that \\spad{c * g ** (1/n) = P ** (1/m)} thus if \\spad{y**n = g},{} then \\spad{z**m = P} where \\spad{z = c * y}.")) (|radPoly| (((|Union| (|Record| (|:| |radicand| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) "failed") |#3|) "\\spad{radPoly(p(x, y))} returns \\spad{[c(x), n]} if \\spad{p} is of the form \\spad{y**n - c(x)},{} \"failed\" otherwise.")) (|mkIntegral| (((|Record| (|:| |coef| (|Fraction| |#2|)) (|:| |poly| |#3|)) |#3|) "\\spad{mkIntegral(p(x,y))} returns \\spad{[c(x), q(x,z)]} such that \\spad{z = c * y} is integral. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{x} and \\spad{z} is \\spad{q(x, z) = 0}.")))
NIL
NIL
@@ -564,7 +564,7 @@ NIL
((|constructor| (NIL "Color() specifies a domain of 27 colors provided in the \\Language{} system (the colors mix additively).")) (|color| (($ (|Integer|)) "\\spad{color(i)} returns a color of the indicated hue \\spad{i}.")) (|numberOfHues| (((|PositiveInteger|)) "\\spad{numberOfHues()} returns the number of total hues,{} set in totalHues.")) (|hue| (((|Integer|) $) "\\spad{hue(c)} returns the hue index of the indicated color \\spad{c}.")) (|blue| (($) "\\spad{blue()} returns the position of the blue hue from total hues.")) (|green| (($) "\\spad{green()} returns the position of the green hue from total hues.")) (|yellow| (($) "\\spad{yellow()} returns the position of the yellow hue from total hues.")) (|red| (($) "\\spad{red()} returns the position of the red hue from total hues.")) (+ (($ $ $) "\\spad{c1 + c2} additively mixes the two colors \\spad{c1} and \\spad{c2}.")) (* (($ (|DoubleFloat|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}.") (($ (|PositiveInteger|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}.")))
NIL
NIL
-(-159 R -2057)
+(-159 R -2068)
((|constructor| (NIL "Provides combinatorial functions over an integral domain.")) (|ipow| ((|#2| (|List| |#2|)) "\\spad{ipow(l)} should be local but conditional.")) (|iidprod| ((|#2| (|List| |#2|)) "\\spad{iidprod(l)} should be local but conditional.")) (|iidsum| ((|#2| (|List| |#2|)) "\\spad{iidsum(l)} should be local but conditional.")) (|iipow| ((|#2| (|List| |#2|)) "\\spad{iipow(l)} should be local but conditional.")) (|iiperm| ((|#2| (|List| |#2|)) "\\spad{iiperm(l)} should be local but conditional.")) (|iibinom| ((|#2| (|List| |#2|)) "\\spad{iibinom(l)} should be local but conditional.")) (|iifact| ((|#2| |#2|) "\\spad{iifact(x)} should be local but conditional.")) (|product| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{product(f(n), n = a..b)} returns \\spad{f}(a) * ... * \\spad{f}(\\spad{b}) as a formal product.") ((|#2| |#2| (|Symbol|)) "\\spad{product(f(n), n)} returns the formal product \\spad{P}(\\spad{n}) which verifies \\spad{P}(\\spad{n+1})\\spad{/P}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|summation| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{summation(f(n), n = a..b)} returns \\spad{f}(a) + ... + \\spad{f}(\\spad{b}) as a formal sum.") ((|#2| |#2| (|Symbol|)) "\\spad{summation(f(n), n)} returns the formal sum \\spad{S}(\\spad{n}) which verifies \\spad{S}(\\spad{n+1}) - \\spad{S}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|factorials| ((|#2| |#2| (|Symbol|)) "\\spad{factorials(f, x)} rewrites the permutations and binomials in \\spad{f} involving \\spad{x} in terms of factorials.") ((|#2| |#2|) "\\spad{factorials(f)} rewrites the permutations and binomials in \\spad{f} in terms of factorials.")) (|factorial| ((|#2| |#2|) "\\spad{factorial(n)} returns the factorial of \\spad{n},{} \\spadignore{i.e.} \\spad{n!}.")) (|permutation| ((|#2| |#2| |#2|) "\\spad{permutation(n, r)} returns the number of permutations of \\spad{n} objects taken \\spad{r} at a time,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{n}-\\spad{r})!.")) (|binomial| ((|#2| |#2| |#2|) "\\spad{binomial(n, r)} returns the number of subsets of \\spad{r} objects taken among \\spad{n} objects,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{r!} * (\\spad{n}-\\spad{r})!).")) (** ((|#2| |#2| |#2|) "\\spad{a ** b} is the formal exponential a**b.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a combinatorial operator.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a combinatorial operator.")))
NIL
NIL
@@ -598,7 +598,7 @@ NIL
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(-167 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})")))
-((-4492 -2867 (|has| |#1| (-569)) (-12 (|has| |#1| (-318)) (|has| |#1| (-937)))) (-4497 |has| |#1| (-375)) (-4491 |has| |#1| (-375)) (-4495 |has| |#1| (-6 -4495)) (-4498 |has| |#1| (-6 -4498)) (-4225 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
+((-4492 -2816 (|has| |#1| (-569)) (-12 (|has| |#1| (-318)) (|has| |#1| (-937)))) (-4497 |has| |#1| (-375)) (-4491 |has| |#1| (-375)) (-4495 |has| |#1| (-6 -4495)) (-4498 |has| |#1| (-6 -4498)) (-4185 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-168 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}.")))
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(-172 R S CS)
((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern")))
NIL
@@ -688,7 +688,7 @@ NIL
((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}.")))
NIL
NIL
-(-190 R -2057)
+(-190 R -2068)
((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels.")))
NIL
NIL
@@ -800,23 +800,23 @@ NIL
((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: July 2,{} 2010 Date Last Modified: July 2,{} 2010 Descrption: \\indented{2}{Representation of a dual vector space basis,{} given by symbols.}")) (|dual| (($ (|LinearBasis| |#1|)) "\\spad{dual x} constructs the dual vector of a linear element which is part of a basis.")))
NIL
NIL
-(-218 -2057 UP UPUP R)
+(-218 -2068 UP UPUP R)
((|constructor| (NIL "This package provides functions for computing the residues of a function on an algebraic curve.")) (|doubleResultant| ((|#2| |#4| (|Mapping| |#2| |#2|)) "\\spad{doubleResultant(f, ')} returns \\spad{p}(\\spad{x}) whose roots are rational multiples of the residues of \\spad{f} at all its finite poles. Argument ' is the derivation to use.")))
NIL
NIL
-(-219 -2057 FP)
+(-219 -2068 FP)
((|constructor| (NIL "Package for the factorization of a univariate polynomial with coefficients in a finite field. The algorithm used is the \"distinct degree\" algorithm of Cantor-Zassenhaus,{} modified to use trace instead of the norm and a table for computing Frobenius as suggested by Naudin and Quitte .")) (|irreducible?| (((|Boolean|) |#2|) "\\spad{irreducible?(p)} tests whether the polynomial \\spad{p} is irreducible.")) (|tracePowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{tracePowMod(u,k,v)} produces the sum of \\spad{u**(q**i)} for \\spad{i} running and \\spad{q=} size \\spad{F}")) (|trace2PowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{trace2PowMod(u,k,v)} produces the sum of \\spad{u**(2**i)} for \\spad{i} running from 1 to \\spad{k} all computed modulo the polynomial \\spad{v}.")) (|exptMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{exptMod(u,k,v)} raises the polynomial \\spad{u} to the \\spad{k}th power modulo the polynomial \\spad{v}.")) (|separateFactors| (((|List| |#2|) (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|)))) "\\spad{separateFactors(lfact)} takes the list produced by \\spadfunFrom{separateDegrees}{DistinctDegreeFactorization} and produces the complete list of factors.")) (|separateDegrees| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|))) |#2|) "\\spad{separateDegrees(p)} splits the square free polynomial \\spad{p} into factors each of which is a product of irreducibles of the same degree.")) (|distdfact| (((|Record| (|:| |cont| |#1|) (|:| |factors| (|List| (|Record| (|:| |irr| |#2|) (|:| |pow| (|Integer|)))))) |#2| (|Boolean|)) "\\spad{distdfact(p,sqfrflag)} produces the complete factorization of the polynomial \\spad{p} returning an internal data structure. If argument \\spad{sqfrflag} is \\spad{true},{} the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#2|) |#2|) "\\spad{factorSquareFree(p)} produces the complete factorization of the square free polynomial \\spad{p}.")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} produces the complete factorization of the polynomial \\spad{p}.")))
NIL
NIL
(-220)
((|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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
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(-221)
((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition \\spad{`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|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any.")))
NIL
NIL
-(-222 R -2057)
+(-222 R -2068)
((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}.")))
NIL
NIL
@@ -831,18 +831,18 @@ NIL
(-225 S)
((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|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}.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-226 |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}.")))
((-4496 . T))
NIL
-(-227 R -2057)
+(-227 R -2068)
((|constructor| (NIL "\\spadtype{DefiniteIntegrationTools} provides common tools used by the definite integration of both rational and elementary functions.")) (|checkForZero| (((|Union| (|Boolean|) "failed") (|SparseUnivariatePolynomial| |#2|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.") (((|Union| (|Boolean|) "failed") (|Polynomial| |#1|) (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, x, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero for \\spad{x} between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.")) (|computeInt| (((|Union| (|OrderedCompletion| |#2|) "failed") (|Kernel| |#2|) |#2| (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{computeInt(x, g, a, b, eval?)} returns the integral of \\spad{f} for \\spad{x} between a and \\spad{b},{} assuming that \\spad{g} is an indefinite integral of \\spad{f} and \\spad{f} has no pole between a and \\spad{b}. If \\spad{eval?} is \\spad{true},{} then \\spad{g} can be evaluated safely at \\spad{a} and \\spad{b},{} provided that they are finite values. Otherwise,{} limits must be computed.")) (|ignore?| (((|Boolean|) (|String|)) "\\spad{ignore?(s)} is \\spad{true} if \\spad{s} is the string that tells the integrator to assume that the function has no pole in the integration interval.")))
NIL
NIL
(-228)
((|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}.")))
-((-4215 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
+((-4179 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-229)
((|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)}.}")))
@@ -851,7 +851,7 @@ NIL
(-230 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}")))
((-4499 . T) (-4500 . T))
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(-231 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
@@ -900,22 +900,22 @@ 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
-(-243 S -3651 R)
+(-243 S -3746 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
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-(-244 -3651 R)
+(-244 -3746 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")))
((-4493 |has| |#2| (-1079)) (-4494 |has| |#2| (-1079)) (-4496 |has| |#2| (-6 -4496)) (-4499 . T))
NIL
-(-245 -3651 A B)
+(-245 -3746 A B)
((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}.")))
NIL
NIL
-(-246 -3651 R)
+(-246 -3746 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.")))
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(-577))))) (-12 (|HasCategory| |#2| (QUOTE (-747))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-814))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-870))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))))) (|HasCategory| (-577) (QUOTE (-870))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-1079)))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -928) (QUOTE (-1206))))) (-2816 (|HasCategory| |#2| (QUOTE (-1079))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-1130)))) (|HasAttribute| |#2| (QUOTE -4496)) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1079)))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206))))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))))
(-247)
((|constructor| (NIL "DisplayPackage allows one to print strings in a nice manner,{} including highlighting substrings.")) (|sayLength| (((|Integer|) (|List| (|String|))) "\\spad{sayLength(l)} returns the length of a list of strings \\spad{l} as an integer.") (((|Integer|) (|String|)) "\\spad{sayLength(s)} returns the length of a string \\spad{s} as an integer.")) (|say| (((|Void|) (|List| (|String|))) "\\spad{say(l)} sends a list of strings \\spad{l} to output.") (((|Void|) (|String|)) "\\spad{say(s)} sends a string \\spad{s} to output.")) (|center| (((|List| (|String|)) (|List| (|String|)) (|Integer|) (|String|)) "\\spad{center(l,i,s)} takes a list of strings \\spad{l},{} and centers them within a list of strings which is \\spad{i} characters long,{} in which the remaining spaces are filled with strings composed of as many repetitions as possible of the last string parameter \\spad{s}.") (((|String|) (|String|) (|Integer|) (|String|)) "\\spad{center(s,i,s)} takes the first string \\spad{s},{} and centers it within a string of length \\spad{i},{} in which the other elements of the string are composed of as many replications as possible of the second indicated string,{} \\spad{s} which must have a length greater than that of an empty string.")) (|copies| (((|String|) (|Integer|) (|String|)) "\\spad{copies(i,s)} will take a string \\spad{s} and create a new string composed of \\spad{i} copies of \\spad{s}.")) (|newLine| (((|String|)) "\\spad{newLine()} sends a new line command to output.")) (|bright| (((|List| (|String|)) (|List| (|String|))) "\\spad{bright(l)} sets the font property of a list of strings,{} \\spad{l},{} to bold-face type.") (((|List| (|String|)) (|String|)) "\\spad{bright(s)} sets the font property of the string \\spad{s} to bold-face type.")))
NIL
@@ -935,7 +935,7 @@ NIL
(-251 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}")))
((-4500 . T) (-4499 . T))
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(-252 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\\spad{'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
@@ -947,7 +947,7 @@ NIL
(-254 |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.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial")))
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(-255)
((|showSummary| (((|Void|) $) "\\spad{showSummary(d)} prints out implementation detail information of domain \\spad{`d'}.")) (|reflect| (($ (|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 \\spad{`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 \\spad{`d'}.")))
NIL
@@ -962,12 +962,12 @@ NIL
NIL
(-258 |n| R M S)
((|constructor| (NIL "This constructor provides a direct product type with a left matrix-module view.")))
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(QUOTE (-577)))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#3| (QUOTE (-1130)))) (-2816 (|HasAttribute| |#3| (QUOTE -4496)) (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (QUOTE (-1079)))) (-12 (|HasCategory| |#3| (QUOTE (-1079))) (|HasCategory| |#3| (LIST (QUOTE -926) (QUOTE (-1206)))))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1079)))) (-12 (|HasCategory| |#3| (QUOTE (-1079))) (|HasCategory| |#3| (LIST (QUOTE -928) (QUOTE (-1206))))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))))
(-260 A R S V E)
((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p, s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p, s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p, s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.")))
NIL
@@ -1027,7 +1027,7 @@ NIL
(-274 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")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-6 -4497)) (-4494 . T) (-4493 . T) (-4496 . T))
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(-275 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
@@ -1072,11 +1072,11 @@ NIL
((|constructor| (NIL "A domain used in the construction of the exterior algebra on a set \\spad{X} over a ring \\spad{R}. This domain represents the set of all ordered subsets of the set \\spad{X},{} assumed to be in correspondance with {1,{}2,{}3,{} ...}. The ordered subsets are themselves ordered lexicographically and are in bijective correspondance with an ordered basis of the exterior algebra. In this domain we are dealing strictly with the exponents of basis elements which can only be 0 or 1. \\blankline The multiplicative identity element of the exterior algebra corresponds to the empty subset of \\spad{X}. A coerce from List Integer to an ordered basis element is provided to allow the convenient input of expressions. Another exported function forgets the ordered structure and simply returns the list corresponding to an ordered subset.")) (|Nul| (($ (|NonNegativeInteger|)) "\\spad{Nul()} gives the basis element 1 for the algebra generated by \\spad{n} generators.")) (|exponents| (((|List| (|Integer|)) $) "\\spad{exponents(x)} converts a domain element into a list of zeros and ones corresponding to the exponents in the basis element that \\spad{x} represents.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(x)} gives the numbers of 1\\spad{'s} in \\spad{x},{} \\spadignore{i.e.} the number of non-zero exponents in the basis element that \\spad{x} represents.")) (|coerce| (($ (|List| (|Integer|))) "\\spad{coerce(l)} converts a list of 0\\spad{'s} and 1\\spad{'s} into a basis element,{} where 1 (respectively 0) designates that the variable of the corresponding index of \\spad{l} is (respectively,{} is not) present. Error: if an element of \\spad{l} is not 0 or 1.")))
NIL
NIL
-(-286 R -2057)
+(-286 R -2068)
((|constructor| (NIL "Provides elementary functions over an integral domain.")) (|localReal?| (((|Boolean|) |#2|) "\\spad{localReal?(x)} should be local but conditional")) (|specialTrigs| (((|Union| |#2| "failed") |#2| (|List| (|Record| (|:| |func| |#2|) (|:| |pole| (|Boolean|))))) "\\spad{specialTrigs(x,l)} should be local but conditional")) (|iiacsch| ((|#2| |#2|) "\\spad{iiacsch(x)} should be local but conditional")) (|iiasech| ((|#2| |#2|) "\\spad{iiasech(x)} should be local but conditional")) (|iiacoth| ((|#2| |#2|) "\\spad{iiacoth(x)} should be local but conditional")) (|iiatanh| ((|#2| |#2|) "\\spad{iiatanh(x)} should be local but conditional")) (|iiacosh| ((|#2| |#2|) "\\spad{iiacosh(x)} should be local but conditional")) (|iiasinh| ((|#2| |#2|) "\\spad{iiasinh(x)} should be local but conditional")) (|iicsch| ((|#2| |#2|) "\\spad{iicsch(x)} should be local but conditional")) (|iisech| ((|#2| |#2|) "\\spad{iisech(x)} should be local but conditional")) (|iicoth| ((|#2| |#2|) "\\spad{iicoth(x)} should be local but conditional")) (|iitanh| ((|#2| |#2|) "\\spad{iitanh(x)} should be local but conditional")) (|iicosh| ((|#2| |#2|) "\\spad{iicosh(x)} should be local but conditional")) (|iisinh| ((|#2| |#2|) "\\spad{iisinh(x)} should be local but conditional")) (|iiacsc| ((|#2| |#2|) "\\spad{iiacsc(x)} should be local but conditional")) (|iiasec| ((|#2| |#2|) "\\spad{iiasec(x)} should be local but conditional")) (|iiacot| ((|#2| |#2|) "\\spad{iiacot(x)} should be local but conditional")) (|iiatan| ((|#2| |#2|) "\\spad{iiatan(x)} should be local but conditional")) (|iiacos| ((|#2| |#2|) "\\spad{iiacos(x)} should be local but conditional")) (|iiasin| ((|#2| |#2|) "\\spad{iiasin(x)} should be local but conditional")) (|iicsc| ((|#2| |#2|) "\\spad{iicsc(x)} should be local but conditional")) (|iisec| ((|#2| |#2|) "\\spad{iisec(x)} should be local but conditional")) (|iicot| ((|#2| |#2|) "\\spad{iicot(x)} should be local but conditional")) (|iitan| ((|#2| |#2|) "\\spad{iitan(x)} should be local but conditional")) (|iicos| ((|#2| |#2|) "\\spad{iicos(x)} should be local but conditional")) (|iisin| ((|#2| |#2|) "\\spad{iisin(x)} should be local but conditional")) (|iilog| ((|#2| |#2|) "\\spad{iilog(x)} should be local but conditional")) (|iiexp| ((|#2| |#2|) "\\spad{iiexp(x)} should be local but conditional")) (|iisqrt3| ((|#2|) "\\spad{iisqrt3()} should be local but conditional")) (|iisqrt2| ((|#2|) "\\spad{iisqrt2()} should be local but conditional")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(p)} returns an elementary operator with the same symbol as \\spad{p}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(p)} returns \\spad{true} if operator \\spad{p} is elementary")) (|pi| ((|#2|) "\\spad{pi()} returns the \\spad{pi} operator")) (|acsch| ((|#2| |#2|) "\\spad{acsch(x)} applies the inverse hyperbolic cosecant operator to \\spad{x}")) (|asech| ((|#2| |#2|) "\\spad{asech(x)} applies the inverse hyperbolic secant operator to \\spad{x}")) (|acoth| ((|#2| |#2|) "\\spad{acoth(x)} applies the inverse hyperbolic cotangent operator to \\spad{x}")) (|atanh| ((|#2| |#2|) "\\spad{atanh(x)} applies the inverse hyperbolic tangent operator to \\spad{x}")) (|acosh| ((|#2| |#2|) "\\spad{acosh(x)} applies the inverse hyperbolic cosine operator to \\spad{x}")) (|asinh| ((|#2| |#2|) "\\spad{asinh(x)} applies the inverse hyperbolic sine operator to \\spad{x}")) (|csch| ((|#2| |#2|) "\\spad{csch(x)} applies the hyperbolic cosecant operator to \\spad{x}")) (|sech| ((|#2| |#2|) "\\spad{sech(x)} applies the hyperbolic secant operator to \\spad{x}")) (|coth| ((|#2| |#2|) "\\spad{coth(x)} applies the hyperbolic cotangent operator to \\spad{x}")) (|tanh| ((|#2| |#2|) "\\spad{tanh(x)} applies the hyperbolic tangent operator to \\spad{x}")) (|cosh| ((|#2| |#2|) "\\spad{cosh(x)} applies the hyperbolic cosine operator to \\spad{x}")) (|sinh| ((|#2| |#2|) "\\spad{sinh(x)} applies the hyperbolic sine operator to \\spad{x}")) (|acsc| ((|#2| |#2|) "\\spad{acsc(x)} applies the inverse cosecant operator to \\spad{x}")) (|asec| ((|#2| |#2|) "\\spad{asec(x)} applies the inverse secant operator to \\spad{x}")) (|acot| ((|#2| |#2|) "\\spad{acot(x)} applies the inverse cotangent operator to \\spad{x}")) (|atan| ((|#2| |#2|) "\\spad{atan(x)} applies the inverse tangent operator to \\spad{x}")) (|acos| ((|#2| |#2|) "\\spad{acos(x)} applies the inverse cosine operator to \\spad{x}")) (|asin| ((|#2| |#2|) "\\spad{asin(x)} applies the inverse sine operator to \\spad{x}")) (|csc| ((|#2| |#2|) "\\spad{csc(x)} applies the cosecant operator to \\spad{x}")) (|sec| ((|#2| |#2|) "\\spad{sec(x)} applies the secant operator to \\spad{x}")) (|cot| ((|#2| |#2|) "\\spad{cot(x)} applies the cotangent operator to \\spad{x}")) (|tan| ((|#2| |#2|) "\\spad{tan(x)} applies the tangent operator to \\spad{x}")) (|cos| ((|#2| |#2|) "\\spad{cos(x)} applies the cosine operator to \\spad{x}")) (|sin| ((|#2| |#2|) "\\spad{sin(x)} applies the sine operator to \\spad{x}")) (|log| ((|#2| |#2|) "\\spad{log(x)} applies the logarithm operator to \\spad{x}")) (|exp| ((|#2| |#2|) "\\spad{exp(x)} applies the exponential operator to \\spad{x}")))
NIL
NIL
-(-287 R -2057)
+(-287 R -2068)
((|constructor| (NIL "ElementaryFunctionStructurePackage provides functions to test the algebraic independence of various elementary functions,{} using the Risch structure theorem (real and complex versions). It also provides transformations on elementary functions which are not considered simplifications.")) (|tanQ| ((|#2| (|Fraction| (|Integer|)) |#2|) "\\spad{tanQ(q,a)} is a local function with a conditional implementation.")) (|rootNormalize| ((|#2| |#2| (|Kernel| |#2|)) "\\spad{rootNormalize(f, k)} returns \\spad{f} rewriting either \\spad{k} which must be an \\spad{n}th-root in terms of radicals already in \\spad{f},{} or some radicals in \\spad{f} in terms of \\spad{k}.")) (|validExponential| (((|Union| |#2| "failed") (|List| (|Kernel| |#2|)) |#2| (|Symbol|)) "\\spad{validExponential([k1,...,kn],f,x)} returns \\spad{g} if \\spad{exp(f)=g} and \\spad{g} involves only \\spad{k1...kn},{} and \"failed\" otherwise.")) (|realElementary| ((|#2| |#2| (|Symbol|)) "\\spad{realElementary(f,x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.") ((|#2| |#2|) "\\spad{realElementary(f)} rewrites \\spad{f} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.")) (|rischNormalize| (((|Record| (|:| |func| |#2|) (|:| |kers| (|List| (|Kernel| |#2|))) (|:| |vals| (|List| |#2|))) |#2| (|Symbol|)) "\\spad{rischNormalize(f, x)} returns \\spad{[g, [k1,...,kn], [h1,...,hn]]} such that \\spad{g = normalize(f, x)} and each \\spad{ki} was rewritten as \\spad{hi} during the normalization.")) (|normalize| ((|#2| |#2| (|Symbol|)) "\\spad{normalize(f, x)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{normalize(f)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels.")))
NIL
NIL
@@ -1128,7 +1128,7 @@ 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
-(-300 S R |Mod| -3530 -3771 |exactQuo|)
+(-300 S R |Mod| -1773 -2269 |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| $) "\\spad{modulus(x)} \\undocumented")))
((-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
@@ -1150,21 +1150,21 @@ NIL
NIL
(-305 S)
((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations e1 and 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.")))
-((-4496 -2867 (|has| |#1| (-1079)) (|has| |#1| (-486))) (-4493 |has| |#1| (-1079)) (-4494 |has| |#1| (-1079)))
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+((-4496 -2816 (|has| |#1| (-1079)) (|has| |#1| (-486))) (-4493 |has| |#1| (-1079)) (-4494 |has| |#1| (-1079)))
+((|HasCategory| |#1| (QUOTE (-375))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-1079)))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-1079)))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-1079)))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-1079)))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-1079)))) (-2816 (|HasCategory| |#1| (QUOTE (-486))) (|HasCategory| |#1| (QUOTE (-747)))) (|HasCategory| |#1| (QUOTE (-486))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-486))) (|HasCategory| |#1| (QUOTE (-747))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-1142))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (|HasCategory| |#1| (QUOTE (-486))) (|HasCategory| |#1| (QUOTE (-747))) (|HasCategory| |#1| (QUOTE (-1142)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1206)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-313))) (-2816 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-486)))) (-2816 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-747)))) (-2816 (|HasCategory| |#1| (QUOTE (-486))) (|HasCategory| |#1| (QUOTE (-1079)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1142))) (|HasCategory| |#1| (QUOTE (-747))))
(-306 |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.")))
((-4499 . T) (-4500 . T))
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(-307)
((|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
NIL
-(-308 -2057 S)
+(-308 -2068 S)
((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f, p, k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}.")))
NIL
NIL
-(-309 E -2057)
+(-309 E -2068)
((|constructor| (NIL "This package allows a mapping \\spad{E} \\spad{->} \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f, k)} returns \\spad{g = op(f(a1),...,f(an))} where \\spad{k = op(a1,...,an)}.")))
NIL
NIL
@@ -1212,7 +1212,7 @@ NIL
((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#1|))) "\\spad{eval(f, [x1 = v1,...,xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#1|)) "\\spad{eval(f,x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}.")))
NIL
NIL
-(-321 -2057)
+(-321 -2068)
((|constructor| (NIL "This package is to be used in conjuction with \\indented{12}{the CycleIndicators package. It provides an evaluation} \\indented{12}{function for SymmetricPolynomials.}")) (|eval| ((|#1| (|Mapping| |#1| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{eval(f,s)} evaluates the cycle index \\spad{s} by applying \\indented{1}{the function \\spad{f} to each integer in a monomial partition,{}} \\indented{1}{forms their product and sums the results over all monomials.}")))
NIL
NIL
@@ -1227,7 +1227,7 @@ NIL
(-324 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))}.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
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(-325 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
@@ -1238,9 +1238,9 @@ NIL
NIL
(-327 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.")))
-((-4496 -2867 (-12 (|has| |#1| (-569)) (-2867 (|has| |#1| (-1079)) (|has| |#1| (-486)))) (|has| |#1| (-1079)) (|has| |#1| (-486))) (-4494 |has| |#1| (-174)) (-4493 |has| |#1| (-174)) ((-4501 "*") |has| |#1| (-569)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-569)) (-4491 |has| |#1| (-569)))
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-(-328 R -2057)
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+(-328 R -2068)
((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq, y, x = a, [b0,...,bn])} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, [b0,...,b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq, y, x = a, y a = b)} is equivalent to \\spad{seriesSolve(eq=0, y, x=a, y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq, y, x = a, b)} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,y, x=a, b)} is equivalent to \\spad{seriesSolve(eq, y, x=a, y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a,[y1 a = b1,..., yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x=a, [b1,...,bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn],[y1,...,yn],x = a,[y1 a = b1,...,yn a = bn])} returns a taylor series solution of \\spad{[eq1,...,eqn]} around \\spad{x = a} with initial conditions \\spad{yi(a) = bi}. Note: eqi must be of the form \\spad{fi(x, y1 x, y2 x,..., yn x) y1'(x) + gi(x, y1 x, y2 x,..., yn x) = h(x, y1 x, y2 x,..., yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,y,x=a,[b0,...,b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x, y x, y'(x),..., y(n-1)(x)) y(n)(x) + g(x,y x,y'(x),...,y(n-1)(x)) = h(x,y x, y'(x),..., y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,y,x=a, y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x, y x) y'(x) + g(x, y x) = h(x, y x)}.")))
NIL
NIL
@@ -1251,7 +1251,7 @@ NIL
(-330 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.")))
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(-331 M)
((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,b1),...,(am,bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f, n)} returns \\spad{(p, r, [r1,...,rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}.")))
NIL
@@ -1283,12 +1283,12 @@ NIL
(-338 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.")))
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+(-339 S -2068)
((|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})\\spad{\\$}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})\\spad{\\$}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**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{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},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'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| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace.")))
NIL
((|HasCategory| |#2| (QUOTE (-380))))
-(-340 -2057)
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((|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})\\spad{\\$}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| |#1|) "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| |#1|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#1|)) "\\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})\\spad{\\$}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])}.") ((|#1| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|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**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#1| $) "\\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| |#1|)) "\\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| |#1|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'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| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
@@ -1312,15 +1312,15 @@ NIL
((|constructor| (NIL "\\indented{1}{Lift a map to finite divisors.} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 19 May 1993")) (|map| (((|FiniteDivisor| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{map(f,d)} \\undocumented{}")))
NIL
NIL
-(-346 S -2057 UP UPUP R)
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((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#5| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) (|:| |principalPart| |#5|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#5| |#3| |#3| |#3| |#2|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#2| |#2| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#2| |#2|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#5|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}.")))
NIL
NIL
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((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#4| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#4| |#2| |#2| |#2| |#1|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#1| |#1| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#1| |#1|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#4|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}.")))
NIL
NIL
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((|constructor| (NIL "This domains implements finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|lSpaceBasis| (((|Vector| |#4|) $) "\\spad{lSpaceBasis(d)} returns a basis for \\spad{L(d) = {f | (f) >= -d}} as a module over \\spad{K[x]}.")) (|finiteBasis| (((|Vector| |#4|) $) "\\spad{finiteBasis(d)} returns a basis for \\spad{d} as a module over {\\em K[x]}.")))
NIL
NIL
@@ -1340,26 +1340,26 @@ NIL
((|constructor| (NIL "Lifts a map from rings to function fields over them.")) (|map| ((|#8| (|Mapping| |#5| |#1|) |#4|) "\\spad{map(f, p)} lifts \\spad{f} to \\spad{F1} and applies it to \\spad{p}.")))
NIL
NIL
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((|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 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
((|HasCategory| |#2| (QUOTE (-380))) (|HasCategory| |#2| (QUOTE (-375))))
-(-354 -2057 UP UPUP)
+(-354 -2068 UP UPUP)
((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#1|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#2|) (|:| |derivden| |#2|) (|:| |gd| |#2|)) $ (|Mapping| |#2| |#2|)) "\\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| |#2| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#2| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#1| $ |#1| |#1|) "\\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| |#2| |#2|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#2|)) (|:| |den| |#2|)) (|Mapping| |#2| |#2|)) "\\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| |#2|) |#2|) "\\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| |#2|)) (|:| |den| |#2|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\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| |#2|))) "\\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| |#2|))) "\\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| |#2|))) "\\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|) $ |#2|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#1|) "\\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|) |#2|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#1|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#2|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#1|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#2|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#1|) "\\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|) |#1| |#1|) "\\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.")))
((-4492 |has| (-420 |#2|) (-375)) (-4497 |has| (-420 |#2|) (-375)) (-4491 |has| (-420 |#2|) (-375)) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-355 |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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| (-938 |#1|) (QUOTE (-146))) (|HasCategory| (-938 |#1|) (QUOTE (-380)))) (|HasCategory| (-938 |#1|) (QUOTE (-148))) (|HasCategory| (-938 |#1|) (QUOTE (-380))) (|HasCategory| (-938 |#1|) (QUOTE (-146))))
+((-2816 (|HasCategory| (-938 |#1|) (QUOTE (-146))) (|HasCategory| (-938 |#1|) (QUOTE (-380)))) (|HasCategory| (-938 |#1|) (QUOTE (-148))) (|HasCategory| (-938 |#1|) (QUOTE (-380))) (|HasCategory| (-938 |#1|) (QUOTE (-146))))
(-356 GF |defpol|)
((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(\\spad{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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
+((-2816 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
(-357 GF |extdeg|)
((|constructor| (NIL "FiniteFieldCyclicGroupExtension(\\spad{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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
+((-2816 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
(-358 GF)
((|constructor| (NIL "FiniteFieldFunctions(\\spad{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
@@ -1376,31 +1376,31 @@ NIL
((|constructor| (NIL "FiniteFieldCategory is the category of finite fields")) (|representationType| (((|Union| "prime" "polynomial" "normal" "cyclic")) "\\spad{representationType()} returns the type of the representation,{} one of: \\spad{prime},{} \\spad{polynomial},{} \\spad{normal},{} or \\spad{cyclic}.")) (|order| (((|PositiveInteger|) $) "\\spad{order(b)} computes the order of an element \\spad{b} in the multiplicative group of the field. Error: if \\spad{b} equals 0.")) (|discreteLog| (((|NonNegativeInteger|) $) "\\spad{discreteLog(a)} computes the discrete logarithm of \\spad{a} with respect to \\spad{primitiveElement()} of the field.")) (|primitive?| (((|Boolean|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note: see \\spad{ch}.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\spad{primitiveElement()} returns a primitive element stored in a global variable in the domain. At first call,{} the primitive element is computed by calling \\spadfun{createPrimitiveElement}.")) (|createPrimitiveElement| (($) "\\spad{createPrimitiveElement()} computes a generator of the (cyclic) multiplicative group of the field.")) (|tableForDiscreteLogarithm| (((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|)) "\\spad{tableForDiscreteLogarithm(a,n)} returns a table of the discrete logarithms of \\spad{a**0} up to \\spad{a**(n-1)} which,{} called with key \\spad{lookup(a**i)} returns \\spad{i} for \\spad{i} in \\spad{0..n-1}. Error: if not called for prime divisors of order of \\indented{7}{multiplicative group.}")) (|factorsOfCyclicGroupSize| (((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|))))) "\\spad{factorsOfCyclicGroupSize()} returns the factorization of size()\\spad{-1}")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(mat)},{} given a matrix representing a homogeneous system of equations,{} returns a vector whose characteristic'th powers is a non-trivial solution,{} or \"failed\" if no such vector exists.")) (|charthRoot| (($ $) "\\spad{charthRoot(a)} takes the characteristic'th root of {\\em a}. Note: such a root is alway defined in finite fields.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
-(-362 R UP -2057)
+(-362 R UP -2068)
((|constructor| (NIL "In this package \\spad{R} is a Euclidean domain and \\spad{F} is a framed algebra over \\spad{R}. The package provides functions to compute the integral closure of \\spad{R} in the quotient field of \\spad{F}. It is assumed that \\spad{char(R/P) = char(R)} for any prime \\spad{P} of \\spad{R}. A typical instance of this is when \\spad{R = K[x]} and \\spad{F} is a function field over \\spad{R}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) |#1|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}")))
NIL
NIL
(-363 |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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| (-938 |#1|) (QUOTE (-146))) (|HasCategory| (-938 |#1|) (QUOTE (-380)))) (|HasCategory| (-938 |#1|) (QUOTE (-148))) (|HasCategory| (-938 |#1|) (QUOTE (-380))) (|HasCategory| (-938 |#1|) (QUOTE (-146))))
+((-2816 (|HasCategory| (-938 |#1|) (QUOTE (-146))) (|HasCategory| (-938 |#1|) (QUOTE (-380)))) (|HasCategory| (-938 |#1|) (QUOTE (-148))) (|HasCategory| (-938 |#1|) (QUOTE (-380))) (|HasCategory| (-938 |#1|) (QUOTE (-146))))
(-364 GF |uni|)
((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
+((-2816 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
(-365 GF |extdeg|)
((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
+((-2816 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
(-366 |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}.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| (-938 |#1|) (QUOTE (-146))) (|HasCategory| (-938 |#1|) (QUOTE (-380)))) (|HasCategory| (-938 |#1|) (QUOTE (-148))) (|HasCategory| (-938 |#1|) (QUOTE (-380))) (|HasCategory| (-938 |#1|) (QUOTE (-146))))
+((-2816 (|HasCategory| (-938 |#1|) (QUOTE (-146))) (|HasCategory| (-938 |#1|) (QUOTE (-380)))) (|HasCategory| (-938 |#1|) (QUOTE (-148))) (|HasCategory| (-938 |#1|) (QUOTE (-380))) (|HasCategory| (-938 |#1|) (QUOTE (-146))))
(-367 GF |defpol|)
((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
-(-368 -2057 GF)
+((-2816 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
+(-368 -2068 GF)
((|constructor| (NIL "FiniteFieldPolynomialPackage2(\\spad{F},{}\\spad{GF}) exports some functions concerning finite fields,{} which depend on a finite field {\\em GF} and an algebraic extension \\spad{F} of {\\em GF},{} \\spadignore{e.g.} a zero of a polynomial over {\\em GF} in \\spad{F}.")) (|rootOfIrreduciblePoly| ((|#1| (|SparseUnivariatePolynomial| |#2|)) "\\spad{rootOfIrreduciblePoly(f)} computes one root of the monic,{} irreducible polynomial \\spad{f},{} which degree must divide the extension degree of {\\em F} over {\\em GF},{} \\spadignore{i.e.} \\spad{f} splits into linear factors over {\\em F}.")) (|Frobenius| ((|#1| |#1|) "\\spad{Frobenius(x)} \\undocumented{}")) (|basis| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{}")) (|lookup| (((|PositiveInteger|) |#1|) "\\spad{lookup(x)} \\undocumented{}")) (|coerce| ((|#1| |#2|) "\\spad{coerce(x)} \\undocumented{}")))
NIL
NIL
@@ -1408,14 +1408,14 @@ NIL
((|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(\\spad{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(\\spad{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(\\spad{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(\\spad{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(\\spad{GF}) generates a normal polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a primitive polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of normal polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of primitive polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(\\spad{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
NIL
-(-370 -2057 FP FPP)
+(-370 -2068 FP FPP)
((|constructor| (NIL "This package solves linear diophantine equations for Bivariate polynomials over finite fields")) (|solveLinearPolynomialEquation| (((|Union| (|List| |#3|) "failed") (|List| |#3|) |#3|) "\\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}\\spad{'s} exists.")))
NIL
NIL
(-371 GF |n|)
((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{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}.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
+((-2816 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146))))
(-372 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{\\spad{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}.")))
-((-4482 . T) (-4490 . T) (-4215 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
+((-4482 . T) (-4490 . T) (-4179 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-392 |Par|)
((|constructor| (NIL "\\indented{3}{This is a package for the approximation of real solutions for} systems of polynomial equations over the rational numbers. The results are expressed as either rational numbers or floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|realRoots| (((|List| |#1|) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{realRoots(rf, eps)} finds the real zeros of a univariate rational function with precision given by eps.") (((|List| (|List| |#1|)) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|Symbol|)) |#1|) "\\spad{realRoots(lp,lv,eps)} computes the list of the real solutions of the list \\spad{lp} of rational functions with rational coefficients with respect to the variables in \\spad{lv},{} with precision \\spad{eps}. Each solution is expressed as a list of numbers in order corresponding to the variables in \\spad{lv}.")) (|solve| (((|List| (|Equation| (|Polynomial| |#1|))) (|Equation| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(eq,eps)} finds all of the real solutions of the univariate equation \\spad{eq} of rational functions with respect to the unique variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{solve(p,eps)} finds all of the real solutions of the univariate rational function \\spad{p} with rational coefficients with respect to the unique variable appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Integer|))))) |#1|) "\\spad{solve(leq,eps)} finds all of the real solutions of the system \\spad{leq} of equationas of rational functions with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(lp,eps)} finds all of the real solutions of the system \\spad{lp} of rational functions over the rational numbers with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}.")))
@@ -1548,7 +1548,7 @@ NIL
((|constructor| (NIL "Code to manipulate Fortran Output Stack")) (|topFortranOutputStack| (((|String|)) "\\spad{topFortranOutputStack()} returns the top element of the Fortran output stack")) (|pushFortranOutputStack| (((|Void|) (|String|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack") (((|Void|) (|FileName|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack")) (|popFortranOutputStack| (((|Void|)) "\\spad{popFortranOutputStack()} pops the Fortran output stack")) (|showFortranOutputStack| (((|Stack| (|String|))) "\\spad{showFortranOutputStack()} returns the Fortran output stack")) (|clearFortranOutputStack| (((|Stack| (|String|))) "\\spad{clearFortranOutputStack()} clears the Fortran output stack")))
NIL
NIL
-(-405 -2057 UP UPUP R)
+(-405 -2068 UP UPUP R)
((|constructor| (NIL "\\indented{1}{Finds the order of a divisor over a finite field} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 11 Jul 1990")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{order(x)} \\undocumented")))
NIL
NIL
@@ -1572,11 +1572,11 @@ NIL
((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,t,lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,l,ll,lv,t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,ll,lv)} \\undocumented{}")))
NIL
NIL
-(-411 -2758 |returnType| -2112 |symbols|)
+(-411 -2721 |returnType| -3667 |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
-(-412 -2057 UP)
+(-412 -2068 UP)
((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: June 18,{} 2010 References: \\spad{M}.Bronstein & \\spad{B}.Salvy,{} \\indented{12}{Full Partial Fraction Decomposition of Rational Functions,{}} \\indented{12}{in Proceedings of ISSAC'93,{} Kiev,{} ACM Press.}")) (|construct| (($ (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|)))) "\\spad{construct(l)} is the inverse of fracPart.")) (|fracPart| (((|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|))) $) "\\spad{fracPart(f)} returns the list of summands of the fractional part of \\spad{f}.")) (|polyPart| ((|#2| $) "\\spad{polyPart(f)} returns the polynomial part of \\spad{f}.")) (|fullPartialFraction| (($ (|Fraction| |#2|)) "\\spad{fullPartialFraction(f)} returns \\spad{[p, [[j, Dj, Hj]...]]} such that \\spad{f = p(x) + \\sum_{[j,Dj,Hj] in l} \\sum_{Dj(a)=0} Hj(a)/(x - a)\\^j}.")) (+ (($ |#2| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}")))
NIL
NIL
@@ -1598,7 +1598,7 @@ NIL
((|HasAttribute| |#1| (QUOTE -4482)) (|HasAttribute| |#1| (QUOTE -4490)))
(-417)
((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\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\\spad{'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\\spad{'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\".")))
-((-4215 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
+((-4179 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-418 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.")))
@@ -1611,7 +1611,7 @@ NIL
(-420 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 \\spad{gcd}\\spad{'s} between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical.")))
((-4486 -12 (|has| |#1| (-6 -4497)) (|has| |#1| (-465)) (|has| |#1| (-6 -4486))) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
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+((|HasCategory| |#1| (QUOTE (-937))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-849)))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549))))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-870)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-849)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-1182))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-391)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-849)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-849))))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-849))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1206)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-849)))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-558))) (-12 (|HasAttribute| |#1| (QUOTE -4497)) (|HasAttribute| |#1| (QUOTE -4486)) (|HasCategory| |#1| (QUOTE (-465)))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-146)))))
(-421 S R UP)
((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#2|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#2|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#2|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(vi * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#2|)) "\\spad{convert([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#2|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'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{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis.")))
NIL
@@ -1632,11 +1632,11 @@ NIL
((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,i)} \\undocumented{}")))
NIL
NIL
-(-426 R -2057 UP A)
+(-426 R -2068 UP A)
((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,x)} should be local but conditional.")) (|minimize| (($ $) "\\spad{minimize(I)} returns a reduced set of generators for \\spad{I}.")) (|denom| ((|#1| $) "\\spad{denom(1/d * (f1,...,fn))} returns \\spad{d}.")) (|numer| (((|Vector| |#4|) $) "\\spad{numer(1/d * (f1,...,fn))} = the vector \\spad{[f1,...,fn]}.")) (|norm| ((|#2| $) "\\spad{norm(I)} returns the norm of the ideal \\spad{I}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} returns the vector \\spad{[f1,...,fn]}.")) (|ideal| (($ (|Vector| |#4|)) "\\spad{ideal([f1,...,fn])} returns the ideal \\spad{(f1,...,fn)}.")))
((-4496 . T))
NIL
-(-427 R -2057 UP A |ibasis|)
+(-427 R -2068 UP A |ibasis|)
((|constructor| (NIL "Module representation of fractional ideals.")) (|module| (($ (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{module(I)} returns \\spad{I} viewed has a module over \\spad{R}.") (($ (|Vector| |#4|)) "\\spad{module([f1,...,fn])} = the module generated by \\spad{(f1,...,fn)} over \\spad{R}.")) (|norm| ((|#2| $) "\\spad{norm(f)} returns the norm of the module \\spad{f}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} = the vector \\spad{[f1,...,fn]}.")))
NIL
((|HasCategory| |#4| (LIST (QUOTE -1068) (|devaluate| |#2|))))
@@ -1655,7 +1655,7 @@ NIL
(-431 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 \\spad{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.")))
((-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -320) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -297) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1251))) (-2867 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-1251)))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1206)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-465))))
+((|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -320) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -297) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1251))) (-2816 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-1251)))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1206)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-465))))
(-432 R)
((|constructor| (NIL "\\spadtype{FactoredFunctionUtilities} implements some utility functions for manipulating factored objects.")) (|mergeFactors| (((|Factored| |#1|) (|Factored| |#1|) (|Factored| |#1|)) "\\spad{mergeFactors(u,v)} is used when the factorizations of \\spadvar{\\spad{u}} and \\spadvar{\\spad{v}} are known to be disjoint,{} \\spadignore{e.g.} resulting from a content/primitive part split. Essentially,{} it creates a new factored object by multiplying the units together and appending the lists of factors.")) (|refine| (((|Factored| |#1|) (|Factored| |#1|) (|Mapping| (|Factored| |#1|) |#1|)) "\\spad{refine(u,fn)} is used to apply the function \\userfun{\\spad{fn}} to each factor of \\spadvar{\\spad{u}} and then build a new factored object from the results. For example,{} if \\spadvar{\\spad{u}} were created by calling \\spad{nilFactor(10,2)} then \\spad{refine(u,factor)} would create a factored object equal to that created by \\spad{factor(100)} or \\spad{primeFactor(2,2) * primeFactor(5,2)}.")))
NIL
@@ -1684,7 +1684,7 @@ NIL
((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#1| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}.")))
((-4499 . T) (-4489 . T) (-4500 . T))
NIL
-(-439 R -2057)
+(-439 R -2068)
((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")))
NIL
NIL
@@ -1692,7 +1692,7 @@ NIL
((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#2| |#1|) "\\spad{makeCos(e,r)} makes a sin expression with given argument and coefficient")) (|makeSin| (($ |#2| |#1|) "\\spad{makeSin(e,r)} makes a sin expression with given argument and coefficient")) (|coerce| (($ (|FourierComponent| |#2|)) "\\spad{coerce(c)} converts sin/cos terms into Fourier Series") (($ |#1|) "\\spad{coerce(r)} converts coefficients into Fourier Series")))
((-4486 -12 (|has| |#1| (-6 -4486)) (|has| |#2| (-6 -4486))) (-4493 . T) (-4494 . T) (-4496 . T))
((-12 (|HasAttribute| |#1| (QUOTE -4486)) (|HasAttribute| |#2| (QUOTE -4486))))
-(-441 R -2057)
+(-441 R -2068)
((|constructor| (NIL "\\spadtype{FunctionSpaceIntegration} provides functions for the indefinite integration of real-valued functions.")) (|integrate| (((|Union| |#2| (|List| |#2|)) |#2| (|Symbol|)) "\\spad{integrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a real variable.")))
NIL
NIL
@@ -1702,17 +1702,17 @@ NIL
((|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-486))) (|HasCategory| |#2| (QUOTE (-1142))) (|HasCategory| |#2| (LIST (QUOTE -632) (QUOTE (-549)))))
(-443 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| $))) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a1,...,am)**n} in \\spad{x} by \\spad{f(a1,...,am)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)**ni} in \\spad{x} by \\spad{fi(a1,...,an)} for any a1,{}...,{}am.") (($ $ (|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}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f, foo)} unquotes all the foo\\spad{'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}.")))
-((-4496 -2867 (|has| |#1| (-1079)) (|has| |#1| (-486))) (-4494 |has| |#1| (-174)) (-4493 |has| |#1| (-174)) ((-4501 "*") |has| |#1| (-569)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-569)) (-4491 |has| |#1| (-569)))
+((-4496 -2816 (|has| |#1| (-1079)) (|has| |#1| (-486))) (-4494 |has| |#1| (-174)) (-4493 |has| |#1| (-174)) ((-4501 "*") |has| |#1| (-569)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-569)) (-4491 |has| |#1| (-569)))
NIL
-(-444 R -2057)
+(-444 R -2068)
((|constructor| (NIL "Provides some special functions over an integral domain.")) (|iiabs| ((|#2| |#2|) "\\spad{iiabs(x)} should be local but conditional.")) (|iiGamma| ((|#2| |#2|) "\\spad{iiGamma(x)} should be local but conditional.")) (|airyBi| ((|#2| |#2|) "\\spad{airyBi(x)} returns the airybi function applied to \\spad{x}")) (|airyAi| ((|#2| |#2|) "\\spad{airyAi(x)} returns the airyai function applied to \\spad{x}")) (|besselK| ((|#2| |#2| |#2|) "\\spad{besselK(x,y)} returns the besselk function applied to \\spad{x} and \\spad{y}")) (|besselI| ((|#2| |#2| |#2|) "\\spad{besselI(x,y)} returns the besseli function applied to \\spad{x} and \\spad{y}")) (|besselY| ((|#2| |#2| |#2|) "\\spad{besselY(x,y)} returns the bessely function applied to \\spad{x} and \\spad{y}")) (|besselJ| ((|#2| |#2| |#2|) "\\spad{besselJ(x,y)} returns the besselj function applied to \\spad{x} and \\spad{y}")) (|polygamma| ((|#2| |#2| |#2|) "\\spad{polygamma(x,y)} returns the polygamma function applied to \\spad{x} and \\spad{y}")) (|digamma| ((|#2| |#2|) "\\spad{digamma(x)} returns the digamma function applied to \\spad{x}")) (|Beta| ((|#2| |#2| |#2|) "\\spad{Beta(x,y)} returns the beta function applied to \\spad{x} and \\spad{y}")) (|Gamma| ((|#2| |#2| |#2|) "\\spad{Gamma(a,x)} returns the incomplete Gamma function applied to a and \\spad{x}") ((|#2| |#2|) "\\spad{Gamma(f)} returns the formal Gamma function applied to \\spad{f}")) (|abs| ((|#2| |#2|) "\\spad{abs(f)} returns the absolute value operator applied to \\spad{f}")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a special function operator")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a special function operator.")))
NIL
NIL
-(-445 R -2057)
+(-445 R -2068)
((|constructor| (NIL "FunctionsSpacePrimitiveElement provides functions to compute primitive elements in functions spaces.")) (|primitiveElement| (((|Record| (|:| |primelt| |#2|) (|:| |pol1| (|SparseUnivariatePolynomial| |#2|)) (|:| |pol2| (|SparseUnivariatePolynomial| |#2|)) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) |#2| |#2|) "\\spad{primitiveElement(a1, a2)} returns \\spad{[a, q1, q2, q]} such that \\spad{k(a1, a2) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The minimal polynomial for a2 may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve a2; This operations uses \\spadfun{resultant}.") (((|Record| (|:| |primelt| |#2|) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#2|))) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) (|List| |#2|)) "\\spad{primitiveElement([a1,...,an])} returns \\spad{[a, [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.")))
NIL
((|HasCategory| |#2| (QUOTE (-27))))
-(-446 R -2057)
+(-446 R -2068)
((|constructor| (NIL "This package provides function which replaces transcendental kernels in a function space by random integers. The correspondence between the kernels and the integers is fixed between calls to new().")) (|newReduc| (((|Void|)) "\\spad{newReduc()} \\undocumented")) (|bringDown| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) |#2| (|Kernel| |#2|)) "\\spad{bringDown(f,k)} \\undocumented") (((|Fraction| (|Integer|)) |#2|) "\\spad{bringDown(f)} \\undocumented")))
NIL
NIL
@@ -1720,7 +1720,7 @@ NIL
((|constructor| (NIL "Creates and manipulates objects which correspond to the basic FORTRAN data types: REAL,{} INTEGER,{} COMPLEX,{} LOGICAL and CHARACTER")) (= (((|Boolean|) $ $) "\\spad{x=y} tests for equality")) (|logical?| (((|Boolean|) $) "\\spad{logical?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type LOGICAL.")) (|character?| (((|Boolean|) $) "\\spad{character?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type CHARACTER.")) (|doubleComplex?| (((|Boolean|) $) "\\spad{doubleComplex?(t)} tests whether \\spad{t} is equivalent to the (non-standard) FORTRAN type DOUBLE COMPLEX.")) (|complex?| (((|Boolean|) $) "\\spad{complex?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type COMPLEX.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type INTEGER.")) (|double?| (((|Boolean|) $) "\\spad{double?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type DOUBLE PRECISION")) (|real?| (((|Boolean|) $) "\\spad{real?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type REAL.")) (|coerce| (((|SExpression|) $) "\\spad{coerce(x)} returns the \\spad{s}-expression associated with \\spad{x}") (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol associated with \\spad{x}") (($ (|Symbol|)) "\\spad{coerce(s)} transforms the symbol \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of real,{} complex,{}double precision,{} logical,{} integer,{} character,{} REAL,{} COMPLEX,{} LOGICAL,{} INTEGER,{} CHARACTER,{} DOUBLE PRECISION") (($ (|String|)) "\\spad{coerce(s)} transforms the string \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of \"real\",{} \"double precision\",{} \"complex\",{} \"logical\",{} \"integer\",{} \"character\",{} \"REAL\",{} \"COMPLEX\",{} \"LOGICAL\",{} \"INTEGER\",{} \"CHARACTER\",{} \"DOUBLE PRECISION\"")))
NIL
NIL
-(-448 R -2057 UP)
+(-448 R -2068 UP)
((|constructor| (NIL "\\indented{1}{Used internally by IR2F} Author: Manuel Bronstein Date Created: 12 May 1988 Date Last Updated: 22 September 1993 Keywords: function,{} space,{} polynomial,{} factoring")) (|anfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) "failed") |#3|) "\\spad{anfactor(p)} tries to factor \\spad{p} over algebraic numbers,{} returning \"failed\" if it cannot")) (|UP2ifCan| (((|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|))) |#3|) "\\spad{UP2ifCan(x)} should be local but conditional.")) (|qfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "failed") |#3|) "\\spad{qfactor(p)} tries to factor \\spad{p} over fractions of integers,{} returning \"failed\" if it cannot")) (|ffactor| (((|Factored| |#3|) |#3|) "\\spad{ffactor(p)} tries to factor a univariate polynomial \\spad{p} over \\spad{F}")))
NIL
((|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-48)))))
@@ -1752,7 +1752,7 @@ NIL
((|constructor| (NIL "\\spadtype{GaloisGroupFactorizer} provides functions to factor resolvents.")) (|btwFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|) (|Set| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{btwFact(p,sqf,pd,r)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors). \\spad{pd} is the \\spadtype{Set} of possible degrees. \\spad{r} is a lower bound for the number of factors of \\spad{p}. Please do not use this function in your code because its design may change.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(p,sqf)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).")) (|factorOfDegree| (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|) (|Boolean|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r,sqf)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorOfDegree(d,p,listOfDegrees)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1|) "\\spad{factorOfDegree(d,p)} returns a factor of \\spad{p} of degree \\spad{d}.")) (|factorSquareFree| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorSquareFree(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} returns the factorization of \\spad{p} which is supposed not having any repeated factor (this is not checked).")) (|factor| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factor(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factor(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factor(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factor(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns the factorization of \\spad{p} over the integers.")) (|tryFunctionalDecomposition| (((|Boolean|) (|Boolean|)) "\\spad{tryFunctionalDecomposition(b)} chooses whether factorizers have to look for functional decomposition of polynomials (\\spad{true}) or not (\\spad{false}). Returns the previous value.")) (|tryFunctionalDecomposition?| (((|Boolean|)) "\\spad{tryFunctionalDecomposition?()} returns \\spad{true} if factorizers try functional decomposition of polynomials before factoring them.")) (|eisensteinIrreducible?| (((|Boolean|) |#1|) "\\spad{eisensteinIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by Eisenstein\\spad{'s} criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein\\spad{'s} criterion before factoring: \\spad{true} for using it,{} \\spad{false} else. Returns the previous value.")) (|useEisensteinCriterion?| (((|Boolean|)) "\\spad{useEisensteinCriterion?()} returns \\spad{true} if factorizers check Eisenstein\\spad{'s} criterion before factoring.")) (|useSingleFactorBound| (((|Boolean|) (|Boolean|)) "\\spad{useSingleFactorBound(b)} chooses the algorithm to be used by the factorizers: \\spad{true} for algorithm with single factor bound,{} \\spad{false} for algorithm with overall bound. Returns the previous value.")) (|useSingleFactorBound?| (((|Boolean|)) "\\spad{useSingleFactorBound?()} returns \\spad{true} if algorithm with single factor bound is used for factorization,{} \\spad{false} for algorithm with overall bound.")) (|modularFactor| (((|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| |#1|))) |#1|) "\\spad{modularFactor(f)} chooses a \"good\" prime and returns the factorization of \\spad{f} modulo this prime in a form that may be used by \\spadfunFrom{completeHensel}{GeneralHenselPackage}. If prime is zero it means that \\spad{f} has been proved to be irreducible over the integers or that \\spad{f} is a unit (\\spadignore{i.e.} 1 or \\spad{-1}). \\spad{f} shall be primitive (\\spadignore{i.e.} content(\\spad{p})\\spad{=1}) and square free (\\spadignore{i.e.} without repeated factors).")) (|numberOfFactors| (((|NonNegativeInteger|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{numberOfFactors(ddfactorization)} returns the number of factors of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|stopMusserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{stopMusserTrials(n)} sets to \\spad{n} the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**n} trials. Returns the previous value.") (((|PositiveInteger|)) "\\spad{stopMusserTrials()} returns the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**stopMusserTrials()} trials.")) (|musserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{musserTrials(n)} sets to \\spad{n} the number of primes to be tried in \\spadfun{modularFactor} and returns the previous value.") (((|PositiveInteger|)) "\\spad{musserTrials()} returns the number of primes that are tried in \\spadfun{modularFactor}.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{degreePartition(ddfactorization)} returns the degree partition of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|makeFR| (((|Factored| |#1|) (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|))))))) "\\spad{makeFR(flist)} turns the final factorization of henselFact into a \\spadtype{Factored} object.")))
NIL
NIL
-(-456 R UP -2057)
+(-456 R UP -2068)
((|constructor| (NIL "\\spadtype{GaloisGroupFactorizationUtilities} provides functions that will be used by the factorizer.")) (|length| ((|#3| |#2|) "\\spad{length(p)} returns the sum of the absolute values of the coefficients of the polynomial \\spad{p}.")) (|height| ((|#3| |#2|) "\\spad{height(p)} returns the maximal absolute value of the coefficients of the polynomial \\spad{p}.")) (|infinityNorm| ((|#3| |#2|) "\\spad{infinityNorm(f)} returns the maximal absolute value of the coefficients of the polynomial \\spad{f}.")) (|quadraticNorm| ((|#3| |#2|) "\\spad{quadraticNorm(f)} returns the \\spad{l2} norm of the polynomial \\spad{f}.")) (|norm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{norm(f,p)} returns the \\spad{lp} norm of the polynomial \\spad{f}.")) (|singleFactorBound| (((|Integer|) |#2|) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{p} shall be of degree higher or equal to 2.") (((|Integer|) |#2| (|NonNegativeInteger|)) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{r} is a lower bound for the number of factors of \\spad{p}. \\spad{p} shall be of degree higher or equal to 2.")) (|rootBound| (((|Integer|) |#2|) "\\spad{rootBound(p)} returns a bound on the largest norm of the complex roots of \\spad{p}.")) (|bombieriNorm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{bombieriNorm(p,n)} returns the \\spad{n}th Bombieri\\spad{'s} norm of \\spad{p}.") ((|#3| |#2|) "\\spad{bombieriNorm(p)} returns quadratic Bombieri\\spad{'s} norm of \\spad{p}.")) (|beauzamyBound| (((|Integer|) |#2|) "\\spad{beauzamyBound(p)} returns a bound on the larger coefficient of any factor of \\spad{p}.")))
NIL
NIL
@@ -1799,7 +1799,7 @@ NIL
(-467 |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")))
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(-468 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\\spad{'s} conditional.")))
NIL
@@ -1864,7 +1864,7 @@ NIL
((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module\\spad{''},{} \\spadignore{i.e.} collection of \\spad{R}-modules indexed by an abelian monoid \\spad{E}. An element \\spad{g} of \\spad{G[s]} for some specific \\spad{s} in \\spad{E} is said to be an element of \\spad{G} with {\\em degree} \\spad{s}. Sums are defined in each module \\spad{G[s]} so two elements of \\spad{G} have a sum if they have the same degree. \\blankline Morphisms can be defined and composed by degree to give the mathematical category of graded modules.")) (+ (($ $ $) "\\spad{g+h} is the sum of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.")) (- (($ $ $) "\\spad{g-h} is the difference of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.") (($ $) "\\spad{-g} is the additive inverse of \\spad{g} in the module of elements of the same grade as \\spad{g}.")) (* (($ $ |#1|) "\\spad{g*r} is right module multiplication.") (($ |#1| $) "\\spad{r*g} is left module multiplication.")) ((|Zero|) (($) "0 denotes the zero of degree 0.")) (|degree| ((|#2| $) "\\spad{degree(g)} names the degree of \\spad{g}. The set of all elements of a given degree form an \\spad{R}-module.")))
NIL
NIL
-(-484 |lv| -2057 R)
+(-484 |lv| -2068 R)
((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni,{} Summer \\spad{'88},{} revised November \\spad{'89}} Solve systems of polynomial equations using Groebner bases Total order Groebner bases are computed and then converted to lex ones This package is mostly intended for internal use.")) (|genericPosition| (((|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |coords| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{genericPosition(lp,lv)} puts a radical zero dimensional ideal in general position,{} for system \\spad{lp} in variables \\spad{lv}.")) (|testDim| (((|Union| (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "failed") (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{testDim(lp,lv)} tests if the polynomial system \\spad{lp} in variables \\spad{lv} is zero dimensional.")) (|groebSolve| (((|List| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{groebSolve(lp,lv)} reduces the polynomial system \\spad{lp} in variables \\spad{lv} to triangular form. Algorithm based on groebner bases algorithm with linear algebra for change of ordering. Preprocessing for the general solver. The polynomials in input are of type \\spadtype{DMP}.")))
NIL
NIL
@@ -1879,11 +1879,11 @@ NIL
(-487 |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.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-375)) (-4491 |has| |#1| (-375)) (-4493 . T) (-4494 . T) (-4496 . T))
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(-488 |Key| |Entry| |Tbl| |dent|)
((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key.")))
((-4500 . T))
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(-489 R E V P)
((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. 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)}")))
((-4500 . T) (-4499 . T))
@@ -1899,7 +1899,7 @@ NIL
(-492 |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.")))
((-4499 . T) (-4500 . T))
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(-493)
((|constructor| (NIL "\\indented{1}{Author : Larry Lambe} Date Created : August 1988 Date Last Updated : March 9 1990 Related Constructors: OrderedSetInts,{} Commutator,{} FreeNilpotentLie AMS Classification: Primary 17B05,{} 17B30; Secondary 17A50 Keywords: free Lie algebra,{} Hall basis,{} basic commutators Description : Generate a basis for the free Lie algebra on \\spad{n} generators over a ring \\spad{R} with identity up to basic commutators of length \\spad{c} using the algorithm of \\spad{P}. Hall as given in Serre\\spad{'s} book Lie Groups \\spad{--} 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{<=} \\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
@@ -1907,11 +1907,11 @@ NIL
(-494 |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.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial")))
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((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered first by the sum of their components,{} and then refined using a reverse lexicographic ordering. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}.")))
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((|constructor| (NIL "This domain represents the header of a definition.")) (|parameters| (((|List| (|ParameterAst|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header \\spad{`h'}.")) (|name| (((|Identifier|) $) "\\spad{name(h)} returns the name of the operation defined defined.")) (|headAst| (($ (|Identifier|) (|List| (|ParameterAst|))) "\\spad{headAst(f,[x1,..,xn])} constructs a function definition header.")))
NIL
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+(-498 -2068 UP UPUP R)
((|constructor| (NIL "This domains implements finite rational divisors on an hyperelliptic curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve. The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree.")))
NIL
NIL
@@ -1931,7 +1931,7 @@ NIL
(-500)
((|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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| (-577) (QUOTE (-937))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1052))) (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870))) (-2867 (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870)))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1182))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (-2867 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (|HasCategory| (-577) (QUOTE (-146)))))
+((|HasCategory| (-577) (QUOTE (-937))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1052))) (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870))) (-2816 (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870)))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1182))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (|HasCategory| (-577) (QUOTE (-146)))))
(-501 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|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}.")))
NIL
@@ -1956,7 +1956,7 @@ NIL
((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}.")))
NIL
NIL
-(-507 -2057 UP |AlExt| |AlPol|)
+(-507 -2068 UP |AlExt| |AlPol|)
((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of a field over which we can factor UP\\spad{'s}.")) (|factor| (((|Factored| |#4|) |#4| (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{factor(p, f)} returns a prime factorisation of \\spad{p}; \\spad{f} is a factorisation map for elements of UP.")))
NIL
NIL
@@ -1967,16 +1967,16 @@ NIL
(-509 S |mn|)
((|constructor| (NIL "\\indented{1}{Author Micheal Monagan Aug/87} This is the basic one dimensional array data type.")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-510 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\\spad{'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.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-511 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
NIL
-(-512 R UP -2057)
+(-512 R UP -2068)
((|constructor| (NIL "This package contains functions used in the packages FunctionFieldIntegralBasis and NumberFieldIntegralBasis.")) (|moduleSum| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{moduleSum(m1,m2)} returns the sum of two modules in the framed algebra \\spad{F}. Each module \\spad{mi} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn} and \\spad{mi} is a record \\spad{[basis,basisDen,basisInv]}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then a basis \\spad{v1,...,vn} for \\spad{mi} is given by \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|idealiserMatrix| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiserMatrix(m1, m2)} returns the matrix representing the linear conditions on the Ring associatied with an ideal defined by \\spad{m1} and \\spad{m2}.")) (|idealiser| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{idealiser(m1,m2,d)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2} where \\spad{d} is the known part of the denominator") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiser(m1,m2)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2}")) (|leastPower| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{leastPower(p,n)} returns \\spad{e},{} where \\spad{e} is the smallest integer such that \\spad{p **e >= n}")) (|divideIfCan!| ((|#1| (|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Integer|)) "\\spad{divideIfCan!(matrix,matrixOut,prime,n)} attempts to divide the entries of \\spad{matrix} by \\spad{prime} and store the result in \\spad{matrixOut}. If it is successful,{} 1 is returned and if not,{} \\spad{prime} is returned. Here both \\spad{matrix} and \\spad{matrixOut} are \\spad{n}-by-\\spad{n} upper triangular matrices.")) (|matrixGcd| ((|#1| (|Matrix| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{matrixGcd(mat,sing,n)} is \\spad{gcd(sing,g)} where \\spad{g} is the \\spad{gcd} of the entries of the \\spad{n}-by-\\spad{n} upper-triangular matrix \\spad{mat}.")) (|diagonalProduct| ((|#1| (|Matrix| |#1|)) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}")))
NIL
NIL
@@ -1996,7 +1996,7 @@ NIL
((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}.")))
NIL
NIL
-(-517 -2057 |Expon| |VarSet| |DPoly|)
+(-517 -2068 |Expon| |VarSet| |DPoly|)
((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#4| (|List| |#3|)) "\\spad{saturate(I,f,lvar)} is the saturation with respect to the prime principal ideal which is generated by \\spad{f} in the polynomial ring \\spad{F[lvar]}.") (($ $ |#4|) "\\spad{saturate(I,f)} is the saturation of the ideal \\spad{I} with respect to the multiplicative set generated by the polynomial \\spad{f}.")) (|coerce| (($ (|List| |#4|)) "\\spad{coerce(polyList)} converts the list of polynomials \\spad{polyList} to an ideal.")) (|generators| (((|List| |#4|) $) "\\spad{generators(I)} returns a list of generators for the ideal \\spad{I}.")) (|groebner?| (((|Boolean|) $) "\\spad{groebner?(I)} tests if the generators of the ideal \\spad{I} are a Groebner basis.")) (|groebnerIdeal| (($ (|List| |#4|)) "\\spad{groebnerIdeal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList} which are assumed to be a Groebner basis. Note: this operation avoids a Groebner basis computation.")) (|ideal| (($ (|List| |#4|)) "\\spad{ideal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList}.")) (|leadingIdeal| (($ $) "\\spad{leadingIdeal(I)} is the ideal generated by the leading terms of the elements of the ideal \\spad{I}.")) (|dimension| (((|Integer|) $) "\\spad{dimension(I)} gives the dimension of the ideal \\spad{I}. in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Integer|) $ (|List| |#3|)) "\\spad{dimension(I,lvar)} gives the dimension of the ideal \\spad{I},{} in the ring \\spad{F[lvar]}")) (|backOldPos| (($ (|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $))) "\\spad{backOldPos(genPos)} takes the result produced by \\spadfunFrom{generalPosition}{PolynomialIdeals} and performs the inverse transformation,{} returning the original ideal \\spad{backOldPos(generalPosition(I,listvar))} = \\spad{I}.")) (|generalPosition| (((|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $)) $ (|List| |#3|)) "\\spad{generalPosition(I,listvar)} perform a random linear transformation on the variables in \\spad{listvar} and returns the transformed ideal along with the change of basis matrix.")) (|groebner| (($ $) "\\spad{groebner(I)} returns a set of generators of \\spad{I} that are a Groebner basis for \\spad{I}.")) (|quotient| (($ $ |#4|) "\\spad{quotient(I,f)} computes the quotient of the ideal \\spad{I} by the principal ideal generated by the polynomial \\spad{f},{} \\spad{(I:(f))}.") (($ $ $) "\\spad{quotient(I,J)} computes the quotient of the ideals \\spad{I} and \\spad{J},{} \\spad{(I:J)}.")) (|intersect| (($ (|List| $)) "\\spad{intersect(LI)} computes the intersection of the list of ideals \\spad{LI}.") (($ $ $) "\\spad{intersect(I,J)} computes the intersection of the ideals \\spad{I} and \\spad{J}.")) (|zeroDim?| (((|Boolean|) $) "\\spad{zeroDim?(I)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Boolean|) $ (|List| |#3|)) "\\spad{zeroDim?(I,lvar)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]}")) (|inRadical?| (((|Boolean|) |#4| $) "\\spad{inRadical?(f,I)} tests if some power of the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|in?| (((|Boolean|) $ $) "\\spad{in?(I,J)} tests if the ideal \\spad{I} is contained in the ideal \\spad{J}.")) (|element?| (((|Boolean|) |#4| $) "\\spad{element?(f,I)} tests whether the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|zero?| (((|Boolean|) $) "\\spad{zero?(I)} tests whether the ideal \\spad{I} is the zero ideal")) (|one?| (((|Boolean|) $) "\\spad{one?(I)} tests whether the ideal \\spad{I} is the unit ideal,{} \\spadignore{i.e.} contains 1.")) (+ (($ $ $) "\\spad{I+J} computes the ideal generated by the union of \\spad{I} and \\spad{J}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{I**n} computes the \\spad{n}th power of the ideal \\spad{I}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}.")))
NIL
((|HasCategory| |#3| (LIST (QUOTE -632) (QUOTE (-1206)))))
@@ -2047,7 +2047,7 @@ NIL
(-529 S |mn|)
((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|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}")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-530)
((|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
@@ -2055,15 +2055,15 @@ NIL
(-531 |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}.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((-2867 (|HasCategory| (-594 |#1|) (QUOTE (-146))) (|HasCategory| (-594 |#1|) (QUOTE (-380)))) (|HasCategory| (-594 |#1|) (QUOTE (-148))) (|HasCategory| (-594 |#1|) (QUOTE (-380))) (|HasCategory| (-594 |#1|) (QUOTE (-146))))
+((-2816 (|HasCategory| (-594 |#1|) (QUOTE (-146))) (|HasCategory| (-594 |#1|) (QUOTE (-380)))) (|HasCategory| (-594 |#1|) (QUOTE (-148))) (|HasCategory| (-594 |#1|) (QUOTE (-380))) (|HasCategory| (-594 |#1|) (QUOTE (-146))))
(-532 R |mnRow| |mnCol| |Row| |Col|)
((|constructor| (NIL "\\indented{1}{This is an internal type which provides an implementation of} 2-dimensional arrays as PrimitiveArray\\spad{'s} of PrimitiveArray\\spad{'s}.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-533 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.")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-534 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,{} \\spad{m*h} and \\spad{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
@@ -2075,7 +2075,7 @@ NIL
(-536 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.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4501 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4501 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-537)
((|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
@@ -2108,7 +2108,7 @@ NIL
((|constructor| (NIL "\\indented{2}{IndexedExponents of an ordered set of variables gives a representation} for the degree of polynomials in commuting variables. It gives an ordered pairing of non negative integer exponents with variables")))
NIL
((-12 (|HasCategory| (-792) (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-1130)))))
-(-545 K -2057 |Par|)
+(-545 K -2068 |Par|)
((|constructor| (NIL "This package is the inner package to be used by NumericRealEigenPackage and NumericComplexEigenPackage for the computation of numeric eigenvalues and eigenvectors.")) (|innerEigenvectors| (((|List| (|Record| (|:| |outval| |#2|) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| |#2|))))) (|Matrix| |#1|) |#3| (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|))) "\\spad{innerEigenvectors(m,eps,factor)} computes explicitly the eigenvalues and the correspondent eigenvectors of the matrix \\spad{m}. The parameter \\spad{eps} determines the type of the output,{} \\spad{factor} is the univariate factorizer to \\spad{br} used to reduce the characteristic polynomial into irreducible factors.")) (|solve1| (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{solve1(pol, eps)} finds the roots of the univariate polynomial polynomial \\spad{pol} to precision eps. If \\spad{K} is \\spad{Fraction Integer} then only the real roots are returned,{} if \\spad{K} is \\spad{Complex Fraction Integer} then all roots are found.")) (|charpol| (((|SparseUnivariatePolynomial| |#1|) (|Matrix| |#1|)) "\\spad{charpol(m)} computes the characteristic polynomial of a matrix \\spad{m} with entries in \\spad{K}. This function returns a polynomial over \\spad{K},{} while the general one (that is in EiegenPackage) returns Fraction \\spad{P} \\spad{K}")))
NIL
NIL
@@ -2132,7 +2132,7 @@ NIL
((|constructor| (NIL "This package computes infinite products of univariate Taylor series over an integral domain of characteristic 0.")) (|generalInfiniteProduct| ((|#2| |#2| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),a,d)} computes \\spad{product(n=a,a+d,a+2*d,...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#2| |#2|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,3,5...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#2| |#2|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,4,6...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#2| |#2|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,2,3...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")))
NIL
NIL
-(-551 K -2057 |Par|)
+(-551 K -2068 |Par|)
((|constructor| (NIL "This is an internal package for computing approximate solutions to systems of polynomial equations. The parameter \\spad{K} specifies the coefficient field of the input polynomials and must be either \\spad{Fraction(Integer)} or \\spad{Complex(Fraction Integer)}. The parameter \\spad{F} specifies where the solutions must lie and can be one of the following: \\spad{Float},{} \\spad{Fraction(Integer)},{} \\spad{Complex(Float)},{} \\spad{Complex(Fraction Integer)}. The last parameter specifies the type of the precision operand and must be either \\spad{Fraction(Integer)} or \\spad{Float}.")) (|makeEq| (((|List| (|Equation| (|Polynomial| |#2|))) (|List| |#2|) (|List| (|Symbol|))) "\\spad{makeEq(lsol,lvar)} returns a list of equations formed by corresponding members of \\spad{lvar} and \\spad{lsol}.")) (|innerSolve| (((|List| (|List| |#2|)) (|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) |#3|) "\\spad{innerSolve(lnum,lden,lvar,eps)} returns a list of solutions of the system of polynomials \\spad{lnum},{} with the side condition that none of the members of \\spad{lden} vanish identically on any solution. Each solution is expressed as a list corresponding to the list of variables in \\spad{lvar} and with precision specified by \\spad{eps}.")) (|innerSolve1| (((|List| |#2|) (|Polynomial| |#1|) |#3|) "\\spad{innerSolve1(p,eps)} returns the list of the zeros of the polynomial \\spad{p} with precision \\spad{eps}.") (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{innerSolve1(up,eps)} returns the list of the zeros of the univariate polynomial \\spad{up} with precision \\spad{eps}.")))
NIL
NIL
@@ -2183,12 +2183,12 @@ NIL
(-563 |Key| |Entry| |addDom|)
((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4376) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2727) (|devaluate| |#2|)))))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#2| (QUOTE (-1130))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (-2867 (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (QUOTE (-102))))
-(-564 R -2057)
+((-12 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3988) (|devaluate| |#2|)))))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#2| (QUOTE (-1130))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))))
+(-564 R -2068)
((|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
NIL
-(-565 R0 -2057 UP UPUP R)
+(-565 R0 -2068 UP UPUP R)
((|constructor| (NIL "This package provides functions for integrating a function on an algebraic curve.")) (|palginfieldint| (((|Union| |#5| "failed") |#5| (|Mapping| |#3| |#3|)) "\\spad{palginfieldint(f, d)} returns an algebraic function \\spad{g} such that \\spad{dg = f} if such a \\spad{g} exists,{} \"failed\" otherwise. Argument \\spad{f} must be a pure algebraic function.")) (|palgintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{palgintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}. Argument \\spad{f} must be a pure algebraic function.")) (|algintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{algintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}.")))
NIL
NIL
@@ -2198,7 +2198,7 @@ NIL
NIL
(-567 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{<=} \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise.")))
-((-4215 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
+((-4179 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-568 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.")))
@@ -2208,7 +2208,7 @@ NIL
((|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.")))
((-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
-(-570 R -2057)
+(-570 R -2068)
((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for elemntary functions.")) (|lfextlimint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) (|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{lfextlimint(f,x,k,[k1,...,kn])} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - c dk/dx}. Value \\spad{h} is looked for in a field containing \\spad{f} and \\spad{k1},{}...,{}\\spad{kn} (the \\spad{ki}\\spad{'s} must be logs).")) (|lfintegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{lfintegrate(f, x)} = \\spad{g} such that \\spad{dg/dx = f}.")) (|lfinfieldint| (((|Union| |#2| "failed") |#2| (|Symbol|)) "\\spad{lfinfieldint(f, x)} returns a function \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|lflimitedint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Symbol|) (|List| |#2|)) "\\spad{lflimitedint(f,x,[g1,...,gn])} returns functions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} and \\spad{d(h+sum(ci log(gi)))/dx = f},{} if possible,{} \"failed\" otherwise.")) (|lfextendedint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) |#2|) "\\spad{lfextendedint(f, x, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - cg},{} if (\\spad{h},{} \\spad{c}) exist,{} \"failed\" otherwise.")))
NIL
NIL
@@ -2220,7 +2220,7 @@ NIL
((|constructor| (NIL "\\blankline")) (|entry| (((|Record| (|:| |endPointContinuity| (|Union| (|:| |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| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |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")))) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{entry(n)} \\undocumented{}")) (|entries| (((|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |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| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |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"))))))) $) "\\spad{entries(x)} \\undocumented{}")) (|showAttributes| (((|Union| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showAttributes(x)} \\undocumented{}")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |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| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |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"))))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|fTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |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| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |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")))))))) "\\spad{fTable(l)} creates a functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(f)} returns the list of keys of \\spad{f}")) (|clearTheFTable| (((|Void|)) "\\spad{clearTheFTable()} clears the current table of functions.")) (|showTheFTable| (($) "\\spad{showTheFTable()} returns the current table of functions.")))
NIL
NIL
-(-573 R -2057 L)
+(-573 R -2068 L)
((|constructor| (NIL "This internal package rationalises integrands on curves of the form: \\indented{2}{\\spad{y\\^2 = a x\\^2 + b x + c}} \\indented{2}{\\spad{y\\^2 = (a x + b) / (c x + d)}} \\indented{2}{\\spad{f(x, y) = 0} where \\spad{f} has degree 1 in \\spad{x}} The rationalization is done for integration,{} limited integration,{} extended integration and the risch differential equation.")) (|palgLODE0| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgLODE0(op,g,x,y,z,t,c)} returns the solution of \\spad{op f = g} Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgLODE0(op, g, x, y, d, p)} returns the solution of \\spad{op f = g}. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|lift| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{lift(u,k)} \\undocumented")) (|multivariate| ((|#2| (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|Kernel| |#2|) |#2|) "\\spad{multivariate(u,k,f)} \\undocumented")) (|univariate| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|SparseUnivariatePolynomial| |#2|)) "\\spad{univariate(f,k,k,p)} \\undocumented")) (|palgRDE0| (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgRDE0(f, g, x, y, foo, t, c)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.") (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgRDE0(f, g, x, y, foo, d, p)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.")) (|palglimint0| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palglimint0(f, x, y, [u1,...,un], z, t, c)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palglimint0(f, x, y, [u1,...,un], d, p)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|palgextint0| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgextint0(f, x, y, g, z, t, c)} returns functions \\spad{[h, d]} such that \\spad{dh/dx = f(x,y) - d g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy},{} and \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}. The operation returns \"failed\" if no such functions exist.") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgextint0(f, x, y, g, d, p)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)},{} or \"failed\" if no such functions exist.")) (|palgint0| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgint0(f, x, y, z, t, c)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}.") (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgint0(f, x, y, d, p)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)}.")))
NIL
((|HasCategory| |#3| (LIST (QUOTE -677) (|devaluate| |#2|))))
@@ -2228,11 +2228,11 @@ NIL
((|constructor| (NIL "This package provides various number theoretic functions on the integers.")) (|sumOfKthPowerDivisors| (((|Integer|) (|Integer|) (|NonNegativeInteger|)) "\\spad{sumOfKthPowerDivisors(n,k)} returns the sum of the \\spad{k}th powers of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. the sum of the \\spad{k}th powers of the divisors of \\spad{n} is often denoted by \\spad{sigma_k(n)}.")) (|sumOfDivisors| (((|Integer|) (|Integer|)) "\\spad{sumOfDivisors(n)} returns the sum of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The sum of the divisors of \\spad{n} is often denoted by \\spad{sigma(n)}.")) (|numberOfDivisors| (((|Integer|) (|Integer|)) "\\spad{numberOfDivisors(n)} returns the number of integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The number of divisors of \\spad{n} is often denoted by \\spad{tau(n)}.")) (|moebiusMu| (((|Integer|) (|Integer|)) "\\spad{moebiusMu(n)} returns the Moebius function \\spad{mu(n)}. \\spad{mu(n)} is either \\spad{-1},{}0 or 1 as follows: \\spad{mu(n) = 0} if \\spad{n} is divisible by a square > 1,{} \\spad{mu(n) = (-1)^k} if \\spad{n} is square-free and has \\spad{k} distinct prime divisors.")) (|legendre| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{legendre(a,p)} returns the Legendre symbol \\spad{L(a/p)}. \\spad{L(a/p) = (-1)**((p-1)/2) mod p} (\\spad{p} prime),{} which is 0 if \\spad{a} is 0,{} 1 if \\spad{a} is a quadratic residue \\spad{mod p} and \\spad{-1} otherwise. Note: because the primality test is expensive,{} if it is known that \\spad{p} is prime then use \\spad{jacobi(a,p)}.")) (|jacobi| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{jacobi(a,b)} returns the Jacobi symbol \\spad{J(a/b)}. When \\spad{b} is odd,{} \\spad{J(a/b) = product(L(a/p) for p in factor b )}. Note: by convention,{} 0 is returned if \\spad{gcd(a,b) ~= 1}. Iterative \\spad{O(log(b)^2)} version coded by Michael Monagan June 1987.")) (|harmonic| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{harmonic(n)} returns the \\spad{n}th harmonic number. This is \\spad{H[n] = sum(1/k,k=1..n)}.")) (|fibonacci| (((|Integer|) (|Integer|)) "\\spad{fibonacci(n)} returns the \\spad{n}th Fibonacci number. the Fibonacci numbers \\spad{F[n]} are defined by \\spad{F[0] = F[1] = 1} and \\spad{F[n] = F[n-1] + F[n-2]}. The algorithm has running time \\spad{O(log(n)^3)}. Reference: Knuth,{} The Art of Computer Programming Vol 2,{} Semi-Numerical Algorithms.")) (|eulerPhi| (((|Integer|) (|Integer|)) "\\spad{eulerPhi(n)} returns the number of integers between 1 and \\spad{n} (including 1) which are relatively prime to \\spad{n}. This is the Euler phi function \\spad{\\phi(n)} is also called the totient function.")) (|euler| (((|Integer|) (|Integer|)) "\\spad{euler(n)} returns the \\spad{n}th Euler number. This is \\spad{2^n E(n,1/2)},{} where \\spad{E(n,x)} is the \\spad{n}th Euler polynomial.")) (|divisors| (((|List| (|Integer|)) (|Integer|)) "\\spad{divisors(n)} returns a list of the divisors of \\spad{n}.")) (|chineseRemainder| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{chineseRemainder(x1,m1,x2,m2)} returns \\spad{w},{} where \\spad{w} is such that \\spad{w = x1 mod m1} and \\spad{w = x2 mod m2}. Note: \\spad{m1} and \\spad{m2} must be relatively prime.")) (|bernoulli| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{bernoulli(n)} returns the \\spad{n}th Bernoulli number. this is \\spad{B(n,0)},{} where \\spad{B(n,x)} is the \\spad{n}th Bernoulli polynomial.")))
NIL
NIL
-(-575 -2057 UP UPUP R)
+(-575 -2068 UP UPUP R)
((|constructor| (NIL "algebraic Hermite redution.")) (|HermiteIntegrate| (((|Record| (|:| |answer| |#4|) (|:| |logpart| |#4|)) |#4| (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, ')} returns \\spad{[g,h]} such that \\spad{f = g' + h} and \\spad{h} has a only simple finite normal poles.")))
NIL
NIL
-(-576 -2057 UP)
+(-576 -2068 UP)
((|constructor| (NIL "Hermite integration,{} transcendental case.")) (|HermiteIntegrate| (((|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |logpart| (|Fraction| |#2|)) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, D)} returns \\spad{[g, h, s, p]} such that \\spad{f = Dg + h + s + p},{} \\spad{h} has a squarefree denominator normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. Furthermore,{} \\spad{h} and \\spad{s} have no polynomial parts. \\spad{D} is the derivation to use on \\spadtype{UP}.")))
NIL
NIL
@@ -2244,15 +2244,15 @@ NIL
((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.")) (|integrate| (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|Symbol|)) "\\spad{integrate(exp, x = a..b, numerical)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error if the last argument is not {\\spad{\\tt} numerical}.") (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|String|)) "\\spad{integrate(exp, x = a..b, \"numerical\")} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error of the last argument is not {\\spad{\\tt} \"numerical\"}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel, routines)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy,{} using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|))))) "\\spad{integrate(exp, [a..b,c..d,...])} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|)))) "\\spad{integrate(exp, a..b)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|)) "\\spad{integrate(exp, a..b, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|)) "\\spad{integrate(exp, a..b, epsabs, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|NumericalIntegrationProblem|)) "\\spad{integrate(IntegrationProblem)} is a top level ANNA function to integrate an expression over a given range or ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, a..b, epsrel, routines)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.")))
NIL
NIL
-(-579 R -2057 L)
+(-579 R -2068 L)
((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for pure algebraic integrands.")) (|palgLODE| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Symbol|)) "\\spad{palgLODE(op, g, kx, y, x)} returns the solution of \\spad{op f = g}. \\spad{y} is an algebraic function of \\spad{x}.")) (|palgRDE| (((|Union| |#2| "failed") |#2| |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|))) "\\spad{palgRDE(nfp, f, g, x, y, foo)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}; \\spad{foo(a, b, x)} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}. \\spad{nfp} is \\spad{n * df/dx}.")) (|palglimint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|)) "\\spad{palglimint(f, x, y, [u1,...,un])} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}.")) (|palgextint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2|) "\\spad{palgextint(f, x, y, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x}; returns \"failed\" if no such functions exist.")) (|palgint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|)) "\\spad{palgint(f, x, y)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}.")))
NIL
((|HasCategory| |#3| (LIST (QUOTE -677) (|devaluate| |#2|))))
-(-580 R -2057)
+(-580 R -2068)
((|constructor| (NIL "\\spadtype{PatternMatchIntegration} provides functions that use the pattern matcher to find some indefinite and definite integrals involving special functions and found in the litterature.")) (|pmintegrate| (((|Union| |#2| "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{pmintegrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b} if it can be found by the built-in pattern matching rules.") (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}.")) (|pmComplexintegrate| (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmComplexintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}. It only looks for special complex integrals that pmintegrate does not return.")) (|splitConstant| (((|Record| (|:| |const| |#2|) (|:| |nconst| |#2|)) |#2| (|Symbol|)) "\\spad{splitConstant(f, x)} returns \\spad{[c, g]} such that \\spad{f = c * g} and \\spad{c} does not involve \\spad{t}.")))
NIL
((-12 (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-1169)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-647)))))
-(-581 -2057 UP)
+(-581 -2068 UP)
((|constructor| (NIL "This package provides functions for the base case of the Risch algorithm.")) (|limitedint| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|List| (|Fraction| |#2|))) "\\spad{limitedint(f, [g1,...,gn])} returns fractions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(ci log(gi)))' = f},{} if possible,{} \"failed\" otherwise.")) (|extendedint| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{extendedint(f, g)} returns fractions \\spad{[h, c]} such that \\spad{c' = 0} and \\spad{h' = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|infieldint| (((|Union| (|Fraction| |#2|) "failed") (|Fraction| |#2|)) "\\spad{infieldint(f)} returns \\spad{g} such that \\spad{g' = f} or \"failed\" if the integral of \\spad{f} is not a rational function.")) (|integrate| (((|IntegrationResult| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{integrate(f)} returns \\spad{g} such that \\spad{g' = f}.")))
NIL
NIL
@@ -2260,27 +2260,27 @@ NIL
((|constructor| (NIL "Provides integer testing and retraction functions. Date Created: March 1990 Date Last Updated: 9 April 1991")) (|integerIfCan| (((|Union| (|Integer|) "failed") |#1|) "\\spad{integerIfCan(x)} returns \\spad{x} as an integer,{} \"failed\" if \\spad{x} is not an integer.")) (|integer?| (((|Boolean|) |#1|) "\\spad{integer?(x)} is \\spad{true} if \\spad{x} is an integer,{} \\spad{false} otherwise.")) (|integer| (((|Integer|) |#1|) "\\spad{integer(x)} returns \\spad{x} as an integer; error if \\spad{x} is not an integer.")))
NIL
NIL
-(-583 -2057)
+(-583 -2068)
((|constructor| (NIL "This package provides functions for the integration of rational functions.")) (|extendedIntegrate| (((|Union| (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| |#1|))) (|:| |coeff| (|Fraction| (|Polynomial| |#1|)))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{extendedIntegrate(f, x, g)} returns fractions \\spad{[h, c]} such that \\spad{dc/dx = 0} and \\spad{dh/dx = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|limitedIntegrate| (((|Union| (|Record| (|:| |mainpart| (|Fraction| (|Polynomial| |#1|))) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| (|Polynomial| |#1|))) (|:| |logand| (|Fraction| (|Polynomial| |#1|))))))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limitedIntegrate(f, x, [g1,...,gn])} returns fractions \\spad{[h, [[ci,gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(ci log(gi)))/dx = f} if possible,{} \"failed\" otherwise.")) (|infieldIntegrate| (((|Union| (|Fraction| (|Polynomial| |#1|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{infieldIntegrate(f, x)} returns a fraction \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|internalIntegrate| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns \\spad{g} such that \\spad{dg/dx = f}.")))
NIL
NIL
(-584 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.")))
-((-4215 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
+((-4179 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-585)
((|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}\\spad{'s} exists.")))
NIL
NIL
-(-586 R -2057)
+(-586 R -2068)
((|constructor| (NIL "\\indented{1}{Tools for the integrator} Author: Manuel Bronstein Date Created: 25 April 1990 Date Last Updated: 9 June 1993 Keywords: elementary,{} function,{} integration.")) (|intPatternMatch| (((|IntegrationResult| |#2|) |#2| (|Symbol|) (|Mapping| (|IntegrationResult| |#2|) |#2| (|Symbol|)) (|Mapping| (|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|))) "\\spad{intPatternMatch(f, x, int, pmint)} tries to integrate \\spad{f} first by using the integration function \\spad{int},{} and then by using the pattern match intetgration function \\spad{pmint} on any remaining unintegrable part.")) (|mkPrim| ((|#2| |#2| (|Symbol|)) "\\spad{mkPrim(f, x)} makes the logs in \\spad{f} which are linear in \\spad{x} primitive with respect to \\spad{x}.")) (|removeConstantTerm| ((|#2| |#2| (|Symbol|)) "\\spad{removeConstantTerm(f, x)} returns \\spad{f} minus any additive constant with respect to \\spad{x}.")) (|vark| (((|List| (|Kernel| |#2|)) (|List| |#2|) (|Symbol|)) "\\spad{vark([f1,...,fn],x)} returns the set-theoretic union of \\spad{(varselect(f1,x),...,varselect(fn,x))}.")) (|union| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|))) "\\spad{union(l1, l2)} returns set-theoretic union of \\spad{l1} and \\spad{l2}.")) (|ksec| (((|Kernel| |#2|) (|Kernel| |#2|) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{ksec(k, [k1,...,kn], x)} returns the second top-level \\spad{ki} after \\spad{k} involving \\spad{x}.")) (|kmax| (((|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{kmax([k1,...,kn])} returns the top-level \\spad{ki} for integration.")) (|varselect| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{varselect([k1,...,kn], x)} returns the \\spad{ki} which involve \\spad{x}.")))
NIL
((-12 (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-295))) (|HasCategory| |#2| (QUOTE (-647))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206))))) (-12 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-295)))) (|HasCategory| |#1| (QUOTE (-569))))
-(-587 -2057 UP)
+(-587 -2068 UP)
((|constructor| (NIL "This package provides functions for the transcendental case of the Risch algorithm.")) (|monomialIntPoly| (((|Record| (|:| |answer| |#2|) (|:| |polypart| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{monomialIntPoly(p, ')} returns [\\spad{q},{} \\spad{r}] such that \\spad{p = q' + r} and \\spad{degree(r) < degree(t')}. Error if \\spad{degree(t') < 2}.")) (|monomialIntegrate| (((|Record| (|:| |ir| (|IntegrationResult| (|Fraction| |#2|))) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomialIntegrate(f, ')} returns \\spad{[ir, s, p]} such that \\spad{f = ir' + s + p} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t} the derivation '.")) (|expintfldpoly| (((|Union| (|LaurentPolynomial| |#1| |#2|) "failed") (|LaurentPolynomial| |#1| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintfldpoly(p, foo)} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument foo is a Risch differential equation function on \\spad{F}.")) (|primintfldpoly| (((|Union| |#2| "failed") |#2| (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) |#1|) "\\spad{primintfldpoly(p, ', t')} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument \\spad{t'} is the derivative of the primitive generating the extension.")) (|primlimintfrac| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|List| (|Fraction| |#2|))) "\\spad{primlimintfrac(f, ', [u1,...,un])} returns \\spad{[v, [c1,...,cn]]} such that \\spad{ci' = 0} and \\spad{f = v' + +/[ci * ui'/ui]}. Error: if \\spad{degree numer f >= degree denom f}.")) (|primextintfrac| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Fraction| |#2|)) "\\spad{primextintfrac(f, ', g)} returns \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0}. Error: if \\spad{degree numer f >= degree denom f} or if \\spad{degree numer g >= degree denom g} or if \\spad{denom g} is not squarefree.")) (|explimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|List| (|Fraction| |#2|))) "\\spad{explimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primlimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|List| (|Fraction| |#2|))) "\\spad{primlimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|expextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|Fraction| |#2|)) "\\spad{expextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|Fraction| |#2|)) "\\spad{primextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|tanintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|List| |#1|) "failed") (|Integer|) |#1| |#1|)) "\\spad{tanintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential system solver on \\spad{F}.")) (|expintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential equation solver on \\spad{F}.")) (|primintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|)) "\\spad{primintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Argument foo is an extended integration function on \\spad{F}.")))
NIL
NIL
-(-588 R -2057)
+(-588 R -2068)
((|constructor| (NIL "This package computes the inverse Laplace Transform.")) (|inverseLaplace| (((|Union| |#2| "failed") |#2| (|Symbol|) (|Symbol|)) "\\spad{inverseLaplace(f, s, t)} returns the Inverse Laplace transform of \\spad{f(s)} using \\spad{t} as the new variable or \"failed\" if unable to find a closed form.")))
NIL
NIL
@@ -2312,11 +2312,11 @@ NIL
((|constructor| (NIL "A package to print strings without line-feed nor carriage-return.")) (|iprint| (((|Void|) (|String|)) "\\axiom{iprint(\\spad{s})} prints \\axiom{\\spad{s}} at the current position of the cursor.")))
NIL
NIL
-(-596 R -2057)
+(-596 R -2068)
((|constructor| (NIL "This package allows a sum of logs over the roots of a polynomial to be expressed as explicit logarithms and arc tangents,{} provided that the indexing polynomial can be factored into quadratics.")) (|complexExpand| ((|#2| (|IntegrationResult| |#2|)) "\\spad{complexExpand(i)} returns the expanded complex function corresponding to \\spad{i}.")) (|expand| (((|List| |#2|) (|IntegrationResult| |#2|)) "\\spad{expand(i)} returns the list of possible real functions corresponding to \\spad{i}.")) (|split| (((|IntegrationResult| |#2|) (|IntegrationResult| |#2|)) "\\spad{split(u(x) + sum_{P(a)=0} Q(a,x))} returns \\spad{u(x) + sum_{P1(a)=0} Q(a,x) + ... + sum_{Pn(a)=0} Q(a,x)} where \\spad{P1},{}...,{}\\spad{Pn} are the factors of \\spad{P}.")))
NIL
NIL
-(-597 E -2057)
+(-597 E -2068)
((|constructor| (NIL "\\indented{1}{Internally used by the integration packages} Author: Manuel Bronstein Date Created: 1987 Date Last Updated: 12 August 1992 Keywords: integration.")) (|map| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |mainpart| |#1|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#1|) (|:| |logand| |#1|))))) "failed")) "\\spad{map(f,ufe)} \\undocumented") (((|Union| |#2| "failed") (|Mapping| |#2| |#1|) (|Union| |#1| "failed")) "\\spad{map(f,ue)} \\undocumented") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed")) "\\spad{map(f,ure)} \\undocumented") (((|IntegrationResult| |#2|) (|Mapping| |#2| |#1|) (|IntegrationResult| |#1|)) "\\spad{map(f,ire)} \\undocumented")))
NIL
NIL
@@ -2324,7 +2324,7 @@ NIL
((|constructor| (NIL "This domain provides representations for the intermediate form data structure used by the Spad elaborator.")) (|irDef| (($ (|Identifier|) (|InternalTypeForm|) $) "\\spad{irDef(f,ts,e)} returns an IR representation for a definition of a function named \\spad{f},{} with signature \\spad{ts} and body \\spad{e}.")) (|irCtor| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irCtor(n,t)} returns an IR for a constructor reference of type designated by the type form \\spad{t}")) (|irVar| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irVar(x,t)} returns an IR for a variable reference of type designated by the type form \\spad{t}")))
NIL
NIL
-(-599 -2057)
+(-599 -2068)
((|constructor| (NIL "If a function \\spad{f} has an elementary integral \\spad{g},{} then \\spad{g} can be written in the form \\spad{g = h + c1 log(u1) + c2 log(u2) + ... + cn log(un)} where \\spad{h},{} which is in the same field than \\spad{f},{} is called the rational part of the integral,{} and \\spad{c1 log(u1) + ... cn log(un)} is called the logarithmic part of the integral. This domain manipulates integrals represented in that form,{} by keeping both parts separately. The logs are not explicitly computed.")) (|differentiate| ((|#1| $ (|Symbol|)) "\\spad{differentiate(ir,x)} differentiates \\spad{ir} with respect to \\spad{x}") ((|#1| $ (|Mapping| |#1| |#1|)) "\\spad{differentiate(ir,D)} differentiates \\spad{ir} with respect to the derivation \\spad{D}.")) (|integral| (($ |#1| (|Symbol|)) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}") (($ |#1| |#1|) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}")) (|elem?| (((|Boolean|) $) "\\spad{elem?(ir)} tests if an integration result is elementary over \\spad{F?}")) (|notelem| (((|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|))) $) "\\spad{notelem(ir)} returns the non-elementary part of an integration result")) (|logpart| (((|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) $) "\\spad{logpart(ir)} returns the logarithmic part of an integration result")) (|ratpart| ((|#1| $) "\\spad{ratpart(ir)} returns the rational part of an integration result")) (|mkAnswer| (($ |#1| (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) (|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|)))) "\\spad{mkAnswer(r,l,ne)} creates an integration result from a rational part \\spad{r},{} a logarithmic part \\spad{l},{} and a non-elementary part \\spad{ne}.")))
((-4494 . T) (-4493 . T))
((|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-1206)))))
@@ -2355,7 +2355,7 @@ NIL
(-606 |mn|)
((|constructor| (NIL "This domain implements low-level strings")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-2867 (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130)))) (|HasCategory| (-145) (QUOTE (-870))) (-2867 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))))
+((-2816 (-12 (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-2816 (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130)))) (|HasCategory| (-145) (QUOTE (-870))) (-2816 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))))
(-607 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
@@ -2363,7 +2363,7 @@ NIL
(-608 |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}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|)))) (|HasCategory| (-577) (QUOTE (-1142))) (|HasCategory| |#1| (QUOTE (-375))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -3709) (LIST (|devaluate| |#1|) (QUOTE (-1206)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|)))) (|HasCategory| (-577) (QUOTE (-1142))) (|HasCategory| |#1| (QUOTE (-375))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -3630) (LIST (|devaluate| |#1|) (QUOTE (-1206)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577))))))
(-609 |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.}")))
(((-4501 "*") |has| |#1| (-569)) (-4492 |has| |#1| (-569)) (-4493 . T) (-4494 . T) (-4496 . T))
@@ -2380,7 +2380,7 @@ NIL
((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|map| (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|Stream| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|Stream| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|InfiniteTuple| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented")))
NIL
NIL
-(-613 R -2057 FG)
+(-613 R -2068 FG)
((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and \\spad{FG} should be the same type of function space.")) (|trigs2explogs| ((|#3| |#3| (|List| (|Kernel| |#3|)) (|List| (|Symbol|))) "\\spad{trigs2explogs(f, [k1,...,kn], [x1,...,xm])} rewrites all the trigonometric functions appearing in \\spad{f} and involving one of the \\spad{xi's} in terms of complex logarithms and exponentials. A kernel of the form \\spad{tan(u)} is expressed using \\spad{exp(u)**2} if it is one of the \\spad{ki's},{} in terms of \\spad{exp(2*u)} otherwise.")) (|explogs2trigs| (((|Complex| |#2|) |#3|) "\\spad{explogs2trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (F2FG ((|#3| |#2|) "\\spad{F2FG(a + sqrt(-1) b)} returns \\spad{a + i b}.")) (FG2F ((|#2| |#3|) "\\spad{FG2F(a + i b)} returns \\spad{a + sqrt(-1) b}.")) (GF2FG ((|#3| (|Complex| |#2|)) "\\spad{GF2FG(a + i b)} returns \\spad{a + i b} viewed as a function with the \\spad{i} pushed down into the coefficient domain.")))
NIL
NIL
@@ -2391,7 +2391,7 @@ NIL
(-615 R |mn|)
((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index.")))
((-4500 . T) (-4499 . T))
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+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-747))) (|HasCategory| |#1| (QUOTE (-1079))) (-12 (|HasCategory| |#1| (QUOTE (-1032))) (|HasCategory| |#1| (QUOTE (-1079)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-616 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|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order.")))
NIL
@@ -2406,26 +2406,26 @@ NIL
NIL
(-619 R A)
((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$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).")))
-((-4496 -2867 (-2790 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4494 . T) (-4493 . T))
-((-2867 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))))
+((-4496 -2816 (-2750 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4494 . T) (-4493 . T))
+((-2816 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))))
(-620)
((|constructor| (NIL "This is the datatype for the \\spad{JVM} bytecodes.")))
NIL
NIL
(-621)
-NIL
+((|constructor| (NIL "\\spad{JVM} class file access bitmask and values.")) (|jvmAbstract| (($) "The class was declared abstract; therefore object of this class may not be created.")) (|jvmInterface| (($) "The class file represents an interface,{} not a class.")) (|jvmSuper| (($) "Instruct the \\spad{JVM} to treat base clss method invokation specially.")) (|jvmFinal| (($) "The class was declared final; therefore no derived class allowed.")) (|jvmPublic| (($) "The class was declared public,{} therefore may be accessed from outside its package")))
NIL
NIL
(-622)
-NIL
+((|constructor| (NIL "\\spad{JVM} class file constant pool tags.")) (|jvmNameAndTypeConstantTag| (($) "The correspondong constant pool entry represents the name and type of a field or method info.")) (|jvmInterfaceMethodConstantTag| (($) "The correspondong constant pool entry represents an interface method info.")) (|jvmMethodrefConstantTag| (($) "The correspondong constant pool entry represents a class method info.")) (|jvmFieldrefConstantTag| (($) "The corresponding constant pool entry represents a class field info.")) (|jvmStringConstantTag| (($) "The corresponding constant pool entry is a string constant info.")) (|jvmClassConstantTag| (($) "The corresponding constant pool entry represents a class or and interface.")) (|jvmDoubleConstantTag| (($) "The corresponding constant pool entry is a double constant info.")) (|jvmLongConstantTag| (($) "The corresponding constant pool entry is a long constant info.")) (|jvmFloatConstantTag| (($) "The corresponding constant pool entry is a float constant info.")) (|jvmIntegerConstantTag| (($) "The corresponding constant pool entry is an integer constant info.")) (|jvmUTF8ConstantTag| (($) "The corresponding constant pool entry is sequence of bytes representing Java UTF8 string constant.")))
NIL
NIL
(-623)
-NIL
+((|constructor| (NIL "\\spad{JVM} class field access bitmask and values.")) (|jvmTransient| (($) "The field was declared transient.")) (|jvmVolatile| (($) "The field was declared volatile.")) (|jvmFinal| (($) "The field was declared final; therefore may not be modified after initialization.")) (|jvmStatic| (($) "The field was declared static.")) (|jvmProtected| (($) "The field was declared protected; therefore may be accessed withing derived classes.")) (|jvmPrivate| (($) "The field was declared private; threfore can be accessed only within the defining class.")) (|jvmPublic| (($) "The field was declared public; therefore mey accessed from outside its package.")))
NIL
NIL
(-624)
-NIL
+((|constructor| (NIL "\\spad{JVM} class method access bitmask and values.")) (|jvmStrict| (($) "The method was declared fpstrict; therefore floating-point mode is \\spad{FP}-strict.")) (|jvmAbstract| (($) "The method was declared abstract; therefore no implementation is provided.")) (|jvmNative| (($) "The method was declared native; therefore implemented in a language other than Java.")) (|jvmSynchronized| (($) "The method was declared synchronized.")) (|jvmFinal| (($) "The method was declared final; therefore may not be overriden. in derived classes.")) (|jvmStatic| (($) "The method was declared static.")) (|jvmProtected| (($) "The method was declared protected; therefore may be accessed withing derived classes.")) (|jvmPrivate| (($) "The method was declared private; threfore can be accessed only within the defining class.")) (|jvmPublic| (($) "The method was declared public; therefore mey accessed from outside its package.")))
NIL
NIL
(-625)
@@ -2435,7 +2435,7 @@ NIL
(-626 |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.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4376) (QUOTE (-1188))) (LIST (QUOTE |:|) (QUOTE -2727) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| (-1188) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (QUOTE (-102))))
+((-12 (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (QUOTE (-1188))) (LIST (QUOTE |:|) (QUOTE -3988) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| (-1188) (QUOTE (-870))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (QUOTE (-102))))
(-627 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
@@ -2460,7 +2460,7 @@ NIL
((|constructor| (NIL "A is convertible to \\spad{B} means any element of A can be converted into an element of \\spad{B},{} but not automatically by the interpreter.")) (|convert| ((|#1| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}.")))
NIL
NIL
-(-633 -2057 UP)
+(-633 -2068 UP)
((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{\\$a_2 y'' + a_1 y' + a0 y = 0\\$}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{kovacic(a_0,a_1,a_2)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{a_2 y'' + a_1 y' + a0 y = 0}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions.")))
NIL
NIL
@@ -2488,7 +2488,7 @@ NIL
((|constructor| (NIL "LocalAlgebra produces the localization of an algebra,{} \\spadignore{i.e.} fractions whose numerators come from some \\spad{R} algebra.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{a / d} divides the element \\spad{a} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}.")))
((-4493 . T) (-4494 . T) (-4496 . T))
((|HasCategory| |#1| (QUOTE (-869))))
-(-640 R -2057)
+(-640 R -2068)
((|constructor| (NIL "This package computes the forward Laplace Transform.")) (|laplace| ((|#2| |#2| (|Symbol|) (|Symbol|)) "\\spad{laplace(f, t, s)} returns the Laplace transform of \\spad{f(t)} using \\spad{s} as the new variable. This is \\spad{integral(exp(-s*t)*f(t), t = 0..\\%plusInfinity)}. Returns the formal object \\spad{laplace(f, t, s)} if it cannot compute the transform.")))
NIL
NIL
@@ -2520,18 +2520,18 @@ NIL
((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%pi)} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{li(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{Ci(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{Si(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{Ei(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}.")))
NIL
NIL
-(-648 R -2057)
+(-648 R -2068)
((|constructor| (NIL "This package provides liouvillian functions over an integral domain.")) (|integral| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{integral(f,x = a..b)} denotes the definite integral of \\spad{f} with respect to \\spad{x} from \\spad{a} to \\spad{b}.") ((|#2| |#2| (|Symbol|)) "\\spad{integral(f,x)} indefinite integral of \\spad{f} with respect to \\spad{x}.")) (|dilog| ((|#2| |#2|) "\\spad{dilog(f)} denotes the dilogarithm")) (|erf| ((|#2| |#2|) "\\spad{erf(f)} denotes the error function")) (|li| ((|#2| |#2|) "\\spad{li(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{Ci(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{Si(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{Ei(f)} denotes the exponential integral")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns the Liouvillian operator based on \\spad{op}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} checks if \\spad{op} is Liouvillian")))
NIL
NIL
-(-649 |lv| -2057)
+(-649 |lv| -2068)
((|constructor| (NIL "\\indented{1}{Given a Groebner basis \\spad{B} with respect to the total degree ordering for} a zero-dimensional ideal \\spad{I},{} compute a Groebner basis with respect to the lexicographical ordering by using linear algebra.")) (|transform| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{transform }\\undocumented")) (|choosemon| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{choosemon }\\undocumented")) (|intcompBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{intcompBasis }\\undocumented")) (|anticoord| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|List| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{anticoord }\\undocumented")) (|coord| (((|Vector| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{coord }\\undocumented")) (|computeBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{computeBasis }\\undocumented")) (|minPol| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented") (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented")) (|totolex| (((|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{totolex }\\undocumented")) (|groebgen| (((|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |glval| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{groebgen }\\undocumented")) (|linGenPos| (((|Record| (|:| |gblist| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |gvlist| (|List| (|Integer|)))) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{linGenPos }\\undocumented")))
NIL
NIL
(-650)
((|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.")))
((-4500 . T))
-((-12 (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4376) (QUOTE (-1188))) (LIST (QUOTE |:|) (QUOTE -2727) (QUOTE (-52))))))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-1188) (QUOTE (-870))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (QUOTE (-1130))))
+((-12 (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (QUOTE (-1188))) (LIST (QUOTE |:|) (QUOTE -3988) (QUOTE (-52))))))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-1188) (QUOTE (-870))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (QUOTE (-1130))))
(-651 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{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}.")))
NIL
@@ -2542,8 +2542,8 @@ NIL
NIL
(-653 R A)
((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$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).")))
-((-4496 -2867 (-2790 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4494 . T) (-4493 . T))
-((-2867 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))))
+((-4496 -2816 (-2750 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4494 . T) (-4493 . T))
+((-2816 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))))
(-654 R FE)
((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),x = a)} computes the complex limit \\spad{lim(x -> a,f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),x=a,\"left\")} computes the left hand real limit \\spad{lim(x -> a-,f(x))}; \\spad{limit(f(x),x=a,\"right\")} computes the right hand real limit \\spad{lim(x -> a+,f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),x = a)} computes the real limit \\spad{lim(x -> a,f(x))}.")))
NIL
@@ -2559,7 +2559,7 @@ NIL
(-657 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}\\spad{'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}\\spad{'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}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,...,vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over \\spad{S},{} \\spad{false} otherwise.")))
NIL
-((-2779 (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-375))))
+((-2740 (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-375))))
(-658 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}.")))
((-4494 . T) (-4493 . T))
@@ -2591,7 +2591,7 @@ NIL
(-665 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.")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-849))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-849))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-666 T$)
((|constructor| (NIL "This domain represents AST for Spad literals.")))
NIL
@@ -2603,7 +2603,7 @@ NIL
(-668 S)
((|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,y,d)} replace \\spad{x}\\spad{'s} with \\spad{y}\\spad{'s} in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-669 R)
((|constructor| (NIL "The category of left modules over an \\spad{rng} (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the \\spad{rng}. \\blankline")))
NIL
@@ -2620,7 +2620,7 @@ NIL
((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,i..j,x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,u,k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,u,i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,u,v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}.")))
NIL
NIL
-(-673 R -2057 L)
+(-673 R -2068 L)
((|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
@@ -2640,11 +2640,11 @@ NIL
((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorCategory} is the category 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}}")) (|directSum| (($ $ $) "\\spad{directSum(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}.")))
((-4493 . T) (-4494 . T) (-4496 . T))
NIL
-(-678 -2057 UP)
+(-678 -2068 UP)
((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a, zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}.")))
NIL
((|HasCategory| |#1| (QUOTE (-27))))
-(-679 A -1357)
+(-679 A -1426)
((|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}}")))
((-4493 . T) (-4494 . T) (-4496 . T))
((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-375))))
@@ -2680,11 +2680,11 @@ NIL
((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#1|) "\\spad{list(x)} returns the list of one element \\spad{x}.")))
((-4500 . T) (-4499 . T))
NIL
-(-688 -2057)
+(-688 -2068)
((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}. It is essentially a particular instantiation of the package \\spadtype{LinearSystemMatrixPackage} for Matrix and Vector. This package\\spad{'s} existence makes it easier to use \\spadfun{solve} in the AXIOM interpreter.")) (|rank| (((|NonNegativeInteger|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| (|Vector| |#1|) "failed") (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|List| (|List| |#1|)) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|Matrix| |#1|) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|List| (|List| |#1|)) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.")))
NIL
NIL
-(-689 -2057 |Row| |Col| M)
+(-689 -2068 |Row| |Col| M)
((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}.")) (|rank| (((|NonNegativeInteger|) |#4| |#3|) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) |#4| |#3|) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| |#3| "failed") |#4| |#3|) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|)))) |#4| (|List| |#3|)) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.")))
NIL
NIL
@@ -2695,7 +2695,7 @@ NIL
(-691 |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.")))
((-4496 . T) (-4499 . T) (-4493 . T) (-4494 . T))
-((|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#2| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE (-4501 "*"))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))) (-2867 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-569))) (-2867 (|HasAttribute| |#2| (QUOTE (-4501 "*"))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174))))
+((|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#2| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE (-4501 "*"))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))) (-2816 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-569))) (-2816 (|HasAttribute| |#2| (QUOTE (-4501 "*"))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174))))
(-692)
((|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
@@ -2715,7 +2715,7 @@ NIL
(-696 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
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-697)
((|constructor| (NIL "This domain represents the syntax of a macro definition.")) (|body| (((|SpadAst|) $) "\\spad{body(m)} returns the right hand side of the definition \\spad{`m'}.")) (|head| (((|HeadAst|) $) "\\spad{head(m)} returns the head of the macro definition \\spad{`m'}. This is a list of identifiers starting with the name of the macro followed by the name of the parameters,{} if any.")))
NIL
@@ -2771,7 +2771,7 @@ NIL
(-710 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.")))
((-4499 . T) (-4500 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4501 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4501 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-711 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{**} \\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
@@ -2780,7 +2780,7 @@ NIL
((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "\\spad{nothing} represents failure or absence of value.")) (|autoCoerce| ((|#1| $) "\\spad{autoCoerce} is a courtesy coercion function used by the compiler in case it knows that \\spad{`x'} really is a \\spadtype{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} holds if the value for \\spad{x} is missing.") (((|Boolean|) $ (|[\|\|]| |#1|)) "\\spad{x case T} returns \\spad{true} if \\spad{x} is actually a data of type \\spad{T}.")) (|just| (($ |#1|) "\\spad{just x} injects the value \\spad{`x'} into \\%.")))
NIL
NIL
-(-713 S -2057 FLAF FLAS)
+(-713 S -2068 FLAF FLAS)
((|constructor| (NIL "\\indented{1}{\\spadtype{MultiVariableCalculusFunctions} Package provides several} \\indented{1}{functions for multivariable calculus.} These include gradient,{} hessian and jacobian,{} divergence and laplacian. Various forms for banded and sparse storage of matrices are included.")) (|bandedJacobian| (((|Matrix| |#2|) |#3| |#4| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{bandedJacobian(vf,xlist,kl,ku)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist},{} \\spad{kl} is the number of nonzero subdiagonals,{} \\spad{ku} is the number of nonzero superdiagonals,{} kl+ku+1 being actual bandwidth. Stores the nonzero band in a matrix,{} dimensions kl+ku+1 by \\#xlist. The upper triangle is in the top \\spad{ku} rows,{} the diagonal is in row ku+1,{} the lower triangle in the last \\spad{kl} rows. Entries in a column in the band store correspond to entries in same column of full store. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|jacobian| (((|Matrix| |#2|) |#3| |#4|) "\\spad{jacobian(vf,xlist)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|bandedHessian| (((|Matrix| |#2|) |#2| |#4| (|NonNegativeInteger|)) "\\spad{bandedHessian(v,xlist,k)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist},{} \\spad{k} is the semi-bandwidth,{} the number of nonzero subdiagonals,{} 2*k+1 being actual bandwidth. Stores the nonzero band in lower triangle in a matrix,{} dimensions \\spad{k+1} by \\#xlist,{} whose rows are the vectors formed by diagonal,{} subdiagonal,{} etc. of the real,{} full-matrix,{} hessian. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|hessian| (((|Matrix| |#2|) |#2| |#4|) "\\spad{hessian(v,xlist)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|laplacian| ((|#2| |#2| |#4|) "\\spad{laplacian(v,xlist)} computes the laplacian of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|divergence| ((|#2| |#3| |#4|) "\\spad{divergence(vf,xlist)} computes the divergence of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|gradient| (((|Vector| |#2|) |#2| |#4|) "\\spad{gradient(v,xlist)} computes the gradient,{} the vector of first partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")))
NIL
NIL
@@ -2790,8 +2790,8 @@ NIL
NIL
(-715)
((|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")))
-((-4492 . T) (-4497 |has| (-720) (-375)) (-4491 |has| (-720) (-375)) (-4225 . T) (-4498 |has| (-720) (-6 -4498)) (-4495 |has| (-720) (-6 -4495)) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
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(-716 S)
((|constructor| (NIL "A multi-dictionary is a dictionary which may contain duplicates. 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}.")))
((-4500 . T))
@@ -2804,13 +2804,13 @@ NIL
((|constructor| (NIL "\\indented{1}{<description of package>} Author: Jim Wen Date Created: \\spad{??} Date Last Updated: October 1991 by Jon Steinbach Keywords: Examples: References:")) (|ptFunc| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{ptFunc(a,b,c,d)} is an internal function exported in order to compile packages.")) (|meshPar1Var| (((|ThreeSpace| (|DoubleFloat|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar1Var(s,t,u,f,s1,l)} \\undocumented")) (|meshFun2Var| (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshFun2Var(f,g,s1,s2,l)} \\undocumented")) (|meshPar2Var| (((|ThreeSpace| (|DoubleFloat|)) (|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(sp,f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,g,h,j,s1,s2,l)} \\undocumented")))
NIL
NIL
-(-719 OV E -2057 PG)
+(-719 OV E -2068 PG)
((|constructor| (NIL "Package for factorization of multivariate polynomials over finite fields.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field. \\spad{p} is represented as a univariate polynomial with multivariate coefficients over a finite field.") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field.")))
NIL
NIL
(-720)
((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) (|changeBase| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{changeBase(exp,man,base)} \\undocumented{}")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of \\spad{u}")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(u)} returns the mantissa of \\spad{u}")) (|coerce| (($ (|MachineInteger|)) "\\spad{coerce(u)} transforms a MachineInteger into a MachineFloat") (((|Float|) $) "\\spad{coerce(u)} transforms a MachineFloat to a standard Float")) (|minimumExponent| (((|Integer|)) "\\spad{minimumExponent()} returns the minimum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{minimumExponent(e)} sets the minimum exponent in the model to \\spad{e}")) (|maximumExponent| (((|Integer|)) "\\spad{maximumExponent()} returns the maximum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{maximumExponent(e)} sets the maximum exponent in the model to \\spad{e}")) (|base| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{base(b)} sets the base of the model to \\spad{b}")) (|precision| (((|PositiveInteger|)) "\\spad{precision()} returns the number of digits in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(p)} sets the number of digits in the model to \\spad{p}")))
-((-4215 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
+((-4179 . T) (-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-721 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.")))
@@ -2836,7 +2836,7 @@ NIL
((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}.")))
NIL
NIL
-(-727 S -2389 I)
+(-727 S -3740 I)
((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr, x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function")))
NIL
NIL
@@ -2856,14 +2856,14 @@ 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.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format.")))
NIL
NIL
-(-732 R |Mod| -3530 -3771 |exactQuo|)
+(-732 R |Mod| -1773 -2269 |exactQuo|)
((|constructor| (NIL "\\indented{1}{These domains are used for the factorization and gcds} of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-733 R |Rep|)
((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\spad{frobenius(x)} \\undocumented")) (|computePowers| (((|PrimitiveArray| $)) "\\spad{computePowers()} \\undocumented")) (|pow| (((|PrimitiveArray| $)) "\\spad{pow()} \\undocumented")) (|An| (((|Vector| |#1|) $) "\\spad{An(x)} \\undocumented")) (|UnVectorise| (($ (|Vector| |#1|)) "\\spad{UnVectorise(v)} \\undocumented")) (|Vectorise| (((|Vector| |#1|) $) "\\spad{Vectorise(x)} \\undocumented")) (|lift| ((|#2| $) "\\spad{lift(x)} \\undocumented")) (|reduce| (($ |#2|) "\\spad{reduce(x)} \\undocumented")) (|modulus| ((|#2|) "\\spad{modulus()} \\undocumented")) (|setPoly| ((|#2| |#2|) "\\spad{setPoly(x)} \\undocumented")))
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(-734 IS E |ff|)
((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented")))
NIL
@@ -2872,7 +2872,7 @@ NIL
((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f, u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}.")))
((-4494 |has| |#1| (-174)) (-4493 |has| |#1| (-174)) (-4496 . T))
((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))))
-(-736 R |Mod| -3530 -3771 |exactQuo|)
+(-736 R |Mod| -1773 -2269 |exactQuo|)
((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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")))
((-4496 . T))
NIL
@@ -2884,7 +2884,7 @@ NIL
((|constructor| (NIL "The category of modules over a commutative ring. \\blankline")))
((-4494 . T) (-4493 . T))
NIL
-(-739 -2057)
+(-739 -2068)
((|constructor| (NIL "\\indented{1}{MoebiusTransform(\\spad{F}) is the domain of fractional linear (Moebius)} transformations over \\spad{F}.")) (|eval| (((|OnePointCompletion| |#1|) $ (|OnePointCompletion| |#1|)) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).") ((|#1| $ |#1|) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).")) (|recip| (($ $) "\\spad{recip(m)} = recip() * \\spad{m}") (($) "\\spad{recip()} returns \\spad{matrix [[0,1],[1,0]]} representing the map \\spad{x -> 1 / x}.")) (|scale| (($ $ |#1|) "\\spad{scale(m,h)} returns \\spad{scale(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{scale(k)} returns \\spad{matrix [[k,0],[0,1]]} representing the map \\spad{x -> k * x}.")) (|shift| (($ $ |#1|) "\\spad{shift(m,h)} returns \\spad{shift(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{shift(k)} returns \\spad{matrix [[1,k],[0,1]]} representing the map \\spad{x -> x + k}.")) (|moebius| (($ |#1| |#1| |#1| |#1|) "\\spad{moebius(a,b,c,d)} returns \\spad{matrix [[a,b],[c,d]]}.")))
((-4496 . T))
NIL
@@ -2920,7 +2920,7 @@ NIL
((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity.")))
NIL
NIL
-(-748 -2057 UP)
+(-748 -2068 UP)
((|constructor| (NIL "Tools for handling monomial extensions.")) (|decompose| (((|Record| (|:| |poly| |#2|) (|:| |normal| (|Fraction| |#2|)) (|:| |special| (|Fraction| |#2|))) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{decompose(f, D)} returns \\spad{[p,n,s]} such that \\spad{f = p+n+s},{} all the squarefree factors of \\spad{denom(n)} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{denom(s)} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{n} and \\spad{s} are proper fractions (no pole at infinity). \\spad{D} is the derivation to use.")) (|normalDenom| ((|#2| (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{normalDenom(f, D)} returns the product of all the normal factors of \\spad{denom(f)}. \\spad{D} is the derivation to use.")) (|splitSquarefree| (((|Record| (|:| |normal| (|Factored| |#2|)) (|:| |special| (|Factored| |#2|))) |#2| (|Mapping| |#2| |#2|)) "\\spad{splitSquarefree(p, D)} returns \\spad{[n_1 n_2\\^2 ... n_m\\^m, s_1 s_2\\^2 ... s_q\\^q]} such that \\spad{p = n_1 n_2\\^2 ... n_m\\^m s_1 s_2\\^2 ... s_q\\^q},{} each \\spad{n_i} is normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D} and each \\spad{s_i} is special \\spad{w}.\\spad{r}.\\spad{t} \\spad{D}. \\spad{D} is the derivation to use.")) (|split| (((|Record| (|:| |normal| |#2|) (|:| |special| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{split(p, D)} returns \\spad{[n,s]} such that \\spad{p = n s},{} all the squarefree factors of \\spad{n} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{s} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. \\spad{D} is the derivation to use.")))
NIL
NIL
@@ -2939,7 +2939,7 @@ NIL
(-752 |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.")))
(((-4501 "*") |has| |#2| (-174)) (-4492 |has| |#2| (-569)) (-4497 |has| |#2| (-6 -4497)) (-4494 . T) (-4493 . T) (-4496 . T))
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(-753 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
@@ -3072,11 +3072,11 @@ NIL
((|constructor| (NIL "This package computes explicitly eigenvalues and eigenvectors of matrices with entries over the complex rational numbers. The results are expressed either as complex floating numbers or as complex rational numbers depending on the type of the precision parameter.")) (|complexEigenvectors| (((|List| (|Record| (|:| |outval| (|Complex| |#1|)) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| (|Complex| |#1|)))))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvectors(m,eps)} returns a list of records each one containing a complex eigenvalue,{} its algebraic multiplicity,{} and a list of associated eigenvectors. All these results are computed to precision \\spad{eps} and are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|complexEigenvalues| (((|List| (|Complex| |#1|)) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvalues(m,eps)} computes the eigenvalues of the matrix \\spad{m} to precision \\spad{eps}. The eigenvalues are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|characteristicPolynomial| (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) (|Symbol|)) "\\spad{characteristicPolynomial(m,x)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over Complex Rationals with variable \\spad{x}.") (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|))))) "\\spad{characteristicPolynomial(m)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over complex rationals with a new symbol as variable.")))
NIL
NIL
-(-786 -2057)
+(-786 -2068)
((|constructor| (NIL "\\spadtype{NumericContinuedFraction} provides functions \\indented{2}{for converting floating point numbers to continued fractions.}")) (|continuedFraction| (((|ContinuedFraction| (|Integer|)) |#1|) "\\spad{continuedFraction(f)} converts the floating point number \\spad{f} to a reduced continued fraction.")))
NIL
NIL
-(-787 P -2057)
+(-787 P -2068)
((|constructor| (NIL "This package provides a division and related operations for \\spadtype{MonogenicLinearOperator}\\spad{s} over a \\spadtype{Field}. Since the multiplication is in general non-commutative,{} these operations all have left- and right-hand versions. This package provides the operations based on left-division.")) (|leftLcm| ((|#1| |#1| |#1|) "\\spad{leftLcm(a,b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftGcd| ((|#1| |#1| |#1|) "\\spad{leftGcd(a,b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftExactQuotient(a,b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| ((|#1| |#1| |#1|) "\\spad{leftRemainder(a,b)} computes 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}. The value \\spad{r} is returned.")) (|leftQuotient| ((|#1| |#1| |#1|) "\\spad{leftQuotient(a,b)} computes 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}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{leftDivide(a,b)} 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{''}.")))
NIL
NIL
@@ -3084,7 +3084,7 @@ NIL
NIL
NIL
NIL
-(-789 UP -2057)
+(-789 UP -2068)
((|constructor| (NIL "In this package \\spad{F} is a framed algebra over the integers (typically \\spad{F = Z[a]} for some algebraic integer a). The package provides functions to compute the integral closure of \\spad{Z} in the quotient quotient field of \\spad{F}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|)))) (|Integer|)) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{Z} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{Z} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|discriminant| (((|Integer|)) "\\spad{discriminant()} returns the discriminant of the integral closure of \\spad{Z} in the quotient field of the framed algebra \\spad{F}.")))
NIL
NIL
@@ -3100,7 +3100,7 @@ NIL
((|constructor| (NIL "\\spadtype{NonNegativeInteger} provides functions for non \\indented{2}{negative integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : \\spad{x*y = y*x}.")) (|random| (($ $) "\\spad{random(n)} returns a random integer from 0 to \\spad{n-1}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(a,i)} shift \\spad{a} by \\spad{i} bits.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} returns the quotient of \\spad{a} and \\spad{b},{} or \"failed\" if \\spad{b} is zero or \\spad{a} rem \\spad{b} is zero.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(a,b)} returns a record containing both remainder and quotient.")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two non negative integers \\spad{a} and \\spad{b}.")) (|rem| (($ $ $) "\\spad{a rem b} returns the remainder of \\spad{a} and \\spad{b}.")) (|quo| (($ $ $) "\\spad{a quo b} returns the quotient of \\spad{a} and \\spad{b},{} forgetting the remainder.")))
(((-4501 "*") . T))
NIL
-(-793 R -2057)
+(-793 R -2068)
((|constructor| (NIL "NonLinearFirstOrderODESolver provides a function for finding closed form first integrals of nonlinear ordinary differential equations of order 1.")) (|solve| (((|Union| |#2| "failed") |#2| |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(M(x,y), N(x,y), y, x)} returns \\spad{F(x,y)} such that \\spad{F(x,y) = c} for a constant \\spad{c} is a first integral of the equation \\spad{M(x,y) dx + N(x,y) dy = 0},{} or \"failed\" if no first-integral can be found.")))
NIL
NIL
@@ -3120,7 +3120,7 @@ NIL
((|constructor| (NIL "A package for computing normalized assocites of univariate polynomials with coefficients in a tower of simple extensions of a field.\\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} \\indented{1}{[2] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"Calculs de pgcd au-dessus des tours} \\indented{5}{d'extensions simples et resolution des systemes d'equations} \\indented{5}{algebriques\" These,{} Universite \\spad{P}.etM. Curie,{} Paris,{} 1997.}")) (|normInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normInvertible?(\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|outputArgs| (((|Void|) (|String|) (|String|) |#4| |#5|) "\\axiom{outputArgs(\\spad{s1},{}\\spad{s2},{}\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|normalize| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normalize(\\spad{p},{}\\spad{ts})} normalizes \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|normalizedAssociate| ((|#4| |#4| |#5|) "\\axiom{normalizedAssociate(\\spad{p},{}\\spad{ts})} returns a normalized polynomial \\axiom{\\spad{n}} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts} such that \\axiom{\\spad{n}} and \\axiom{\\spad{p}} are associates \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} and assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|recip| (((|Record| (|:| |num| |#4|) (|:| |den| |#4|)) |#4| |#5|) "\\axiom{recip(\\spad{p},{}\\spad{ts})} returns the inverse of \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")))
NIL
NIL
-(-798 -2057 |ExtF| |SUEx| |ExtP| |n|)
+(-798 -2068 |ExtF| |SUEx| |ExtP| |n|)
((|constructor| (NIL "This package \\undocumented")) (|Frobenius| ((|#4| |#4|) "\\spad{Frobenius(x)} \\undocumented")) (|retractIfCan| (((|Union| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) "failed") |#4|) "\\spad{retractIfCan(x)} \\undocumented")) (|normFactors| (((|List| |#4|) |#4|) "\\spad{normFactors(x)} \\undocumented")))
NIL
NIL
@@ -3135,7 +3135,7 @@ NIL
(-801 R |VarSet|)
((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor.")))
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(-802 R S)
((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a 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
@@ -3143,7 +3143,7 @@ NIL
(-803 R)
((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedResultant2(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedResultant1(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{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| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\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|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}")))
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(-804 R)
((|constructor| (NIL "This package provides polynomials as functions on a ring.")) (|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,r)} \\undocumented")))
NIL
@@ -3204,23 +3204,23 @@ NIL
((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#1| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#1| |#1| |#1| |#1| |#1| |#1| |#1| |#1|) "\\spad{octon(re,ri,rj,rk,rE,rI,rJ,rK)} constructs an octonion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#1| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#1| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#1| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#1| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#1| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#1| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#1| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}.")))
((-4493 . T) (-4494 . T) (-4496 . T))
NIL
-(-819 -2867 R OS S)
+(-819 -2816 R OS S)
((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}.")))
NIL
NIL
(-820 R)
((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}.")))
((-4493 . T) (-4494 . T) (-4496 . T))
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(-821)
((|ODESolve| (((|Result|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{ODESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far.")))
NIL
NIL
-(-822 R -2057 L)
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((|constructor| (NIL "Solution of linear ordinary differential equations,{} constant coefficient case.")) (|constDsolve| (((|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Symbol|)) "\\spad{constDsolve(op, g, x)} returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular solution of the equation \\spad{op y = g},{} and the \\spad{yi}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}.")))
NIL
NIL
-(-823 R -2057)
+(-823 R -2068)
((|constructor| (NIL "\\spad{ElementaryFunctionODESolver} provides the top-level functions for finding closed form solutions of ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of 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{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}; error if the equation is not one of those 2 forms.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| |#2|) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|List| (|Vector| |#2|)) "failed") (|Matrix| |#2|) (|Symbol|)) "\\spad{solve(m, x)} returns a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|Matrix| |#2|) (|Vector| |#2|) (|Symbol|)) "\\spad{solve(m, v, x)} returns \\spad{[v_p, [v_1,...,v_m]]} such that the solutions of the system \\spad{D y = m y + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable.")))
NIL
NIL
@@ -3228,7 +3228,7 @@ NIL
((|constructor| (NIL "\\axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of functions to store details found out about sets of ODE\\spad{'s}.")) (|showIntensityFunctions| (((|Union| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))) "failed") (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showIntensityFunctions(k)} returns the entries in the table of intensity functions \\spad{k}.")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|iFTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) "\\spad{iFTable(l)} creates an intensity-functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(tab)} returns the list of keys of \\spad{f}")) (|clearTheIFTable| (((|Void|)) "\\spad{clearTheIFTable()} clears the current table of intensity functions.")) (|showTheIFTable| (($) "\\spad{showTheIFTable()} returns the current table of intensity functions.")))
NIL
NIL
-(-825 R -2057)
+(-825 R -2068)
((|constructor| (NIL "\\spadtype{ODEIntegration} provides an interface to the integrator. This package is intended for use by the differential equations solver but not at top-level.")) (|diff| (((|Mapping| |#2| |#2|) (|Symbol|)) "\\spad{diff(x)} returns the derivation with respect to \\spad{x}.")) (|expint| ((|#2| |#2| (|Symbol|)) "\\spad{expint(f, x)} returns e^{the integral of \\spad{f} with respect to \\spad{x}}.")) (|int| ((|#2| |#2| (|Symbol|)) "\\spad{int(f, x)} returns the integral of \\spad{f} with respect to \\spad{x}.")))
NIL
NIL
@@ -3236,11 +3236,11 @@ NIL
((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.")) (|solve| (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,epsabs,epsrel)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to an absolute error requirement \\axiom{\\spad{epsabs}} and relative error \\axiom{\\spad{epsrel}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|))) "\\spad{solve(f,xStart,xEnd,yInitial)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with a starting value for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions) and a final value of \\spad{X}. A default value is used for the accuracy requirement. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{solve(odeProblem,R)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|)) "\\spad{solve(odeProblem)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.")))
NIL
NIL
-(-827 -2057 UP UPUP R)
+(-827 -2068 UP UPUP R)
((|constructor| (NIL "In-field solution of an linear ordinary differential equation,{} pure algebraic case.")) (|algDsolve| (((|Record| (|:| |particular| (|Union| |#4| "failed")) (|:| |basis| (|List| |#4|))) (|LinearOrdinaryDifferentialOperator1| |#4|) |#4|) "\\spad{algDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no solution in \\spad{R}. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{y_i's} form a basis for the solutions in \\spad{R} of the homogeneous equation.")))
NIL
NIL
-(-828 -2057 UP L LQ)
+(-828 -2068 UP L LQ)
((|constructor| (NIL "\\spad{PrimitiveRatDE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the transcendental case.} \\indented{1}{The derivation to use is given by the parameter \\spad{L}.}")) (|splitDenominator| (((|Record| (|:| |eq| |#3|) (|:| |rh| (|List| (|Fraction| |#2|)))) |#4| (|List| (|Fraction| |#2|))) "\\spad{splitDenominator(op, [g1,...,gm])} returns \\spad{op0, [h1,...,hm]} such that the equations \\spad{op y = c1 g1 + ... + cm gm} and \\spad{op0 y = c1 h1 + ... + cm hm} have the same solutions.")) (|indicialEquation| ((|#2| |#4| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.") ((|#2| |#3| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.")) (|indicialEquations| (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.")) (|denomLODE| ((|#2| |#3| (|List| (|Fraction| |#2|))) "\\spad{denomLODE(op, [g1,...,gm])} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{p/d} for some polynomial \\spad{p}.") (((|Union| |#2| "failed") |#3| (|Fraction| |#2|)) "\\spad{denomLODE(op, g)} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = g} is of the form \\spad{p/d} for some polynomial \\spad{p},{} and \"failed\",{} if the equation has no rational solution.")))
NIL
NIL
@@ -3248,38 +3248,38 @@ NIL
((|retract| (((|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) $) "\\spad{retract(x)} \\undocumented{}")) (|coerce| (($ (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} \\undocumented{}")))
NIL
NIL
-(-830 -2057 UP L LQ)
+(-830 -2068 UP L LQ)
((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, zeros, ezfactor)} returns \\spad{[[f1, L1], [f2, L2], ... , [fk, Lk]]} such that the singular part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z=0}. \\spad{zeros(C(x),H(x,y))} returns all the \\spad{P_i(x)}\\spad{'s} such that \\spad{H(x,P_i(x)) = 0 modulo C(x)}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk, Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z =0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|constantCoefficientRicDE| (((|List| (|Record| (|:| |constant| |#1|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{constantCoefficientRicDE(op, ric)} returns \\spad{[[a1, L1], [a2, L2], ... , [ak, Lk]]} such that any rational solution with no polynomial part of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{ai}\\spad{'s} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. \\spad{ric} is a Riccati equation solver over \\spad{F},{} whose input is the associated linear equation.")) (|leadingCoefficientRicDE| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| |#2|))) |#3|) "\\spad{leadingCoefficientRicDE(op)} returns \\spad{[[m1, p1], [m2, p2], ... , [mk, pk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must have degree \\spad{mj} for some \\spad{j},{} and its leading coefficient is then a zero of \\spad{pj}. In addition,{}\\spad{m1>m2> ... >mk}.")) (|denomRicDE| ((|#2| |#3|) "\\spad{denomRicDE(op)} returns a polynomial \\spad{d} such that any rational solution of the associated Riccati equation of \\spad{op y = 0} is of the form \\spad{p/d + q'/q + r} for some polynomials \\spad{p} and \\spad{q} and a reduced \\spad{r}. Also,{} \\spad{deg(p) < deg(d)} and {\\spad{gcd}(\\spad{d},{}\\spad{q}) = 1}.")))
NIL
NIL
-(-831 -2057 UP)
+(-831 -2068 UP)
((|constructor| (NIL "\\spad{RationalLODE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the rational case.}")) (|indicialEquationAtInfinity| ((|#2| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.") ((|#2| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.")) (|ratDsolve| (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation.") (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation.")))
NIL
NIL
-(-832 -2057 L UP A LO)
+(-832 -2068 L UP A LO)
((|constructor| (NIL "Elimination of an algebraic from the coefficentss of a linear ordinary differential equation.")) (|reduceLODE| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) |#5| |#4|) "\\spad{reduceLODE(op, g)} returns \\spad{[m, v]} such that any solution in \\spad{A} of \\spad{op z = g} is of the form \\spad{z = (z_1,...,z_m) . (b_1,...,b_m)} where the \\spad{b_i's} are the basis of \\spad{A} over \\spad{F} returned by \\spadfun{basis}() from \\spad{A},{} and the \\spad{z_i's} satisfy the differential system \\spad{M.z = v}.")))
NIL
NIL
-(-833 -2057 UP)
+(-833 -2068 UP)
((|constructor| (NIL "In-field solution of Riccati equations,{} rational case.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk,Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int p}} is \\spad{Li z = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, ezfactor)} returns \\spad{[[f1,L1], [f2,L2],..., [fk,Lk]]} such that the singular \\spad{++} part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|ricDsolve| (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")))
NIL
((|HasCategory| |#1| (QUOTE (-27))))
-(-834 -2057 LO)
+(-834 -2068 LO)
((|constructor| (NIL "SystemODESolver provides tools for triangulating and solving some systems of linear ordinary differential equations.")) (|solveInField| (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#2|) (|Vector| |#1|) (|Mapping| (|Record| (|:| |particular| (|Union| |#1| "failed")) (|:| |basis| (|List| |#1|))) |#2| |#1|)) "\\spad{solveInField(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{m x = v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{m x = 0}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|solve| (((|Union| (|Record| (|:| |particular| (|Vector| |#1|)) (|:| |basis| (|Matrix| |#1|))) "failed") (|Matrix| |#1|) (|Vector| |#1|) (|Mapping| (|Union| (|Record| (|:| |particular| |#1|) (|:| |basis| (|List| |#1|))) "failed") |#2| |#1|)) "\\spad{solve(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{D x = m x + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D x = m x}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|triangulate| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| |#2|) (|Vector| |#1|)) "\\spad{triangulate(m, v)} returns \\spad{[m_0, v_0]} such that \\spad{m_0} is upper triangular and the system \\spad{m_0 x = v_0} is equivalent to \\spad{m x = v}.") (((|Record| (|:| A (|Matrix| |#1|)) (|:| |eqs| (|List| (|Record| (|:| C (|Matrix| |#1|)) (|:| |g| (|Vector| |#1|)) (|:| |eq| |#2|) (|:| |rh| |#1|))))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{triangulate(M,v)} returns \\spad{A,[[C_1,g_1,L_1,h_1],...,[C_k,g_k,L_k,h_k]]} such that under the change of variable \\spad{y = A z},{} the first order linear system \\spad{D y = M y + v} is uncoupled as \\spad{D z_i = C_i z_i + g_i} and each \\spad{C_i} is a companion matrix corresponding to the scalar equation \\spad{L_i z_j = h_i}.")))
NIL
NIL
-(-835 -2057 LODO)
+(-835 -2068 LODO)
((|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.")) (|variationOfParameters| (((|Union| (|Vector| |#1|) "failed") |#2| |#1| (|List| |#1|)) "\\spad{variationOfParameters(op, g, [f1,...,fm])} returns \\spad{[u1,...,um]} such that a particular solution of the equation \\spad{op y = g} is \\spad{f1 int(u1) + ... + fm int(um)} where \\spad{[f1,...,fm]} are linearly independent and \\spad{op(fi)=0}. The value \"failed\" is returned if \\spad{m < n} and no particular solution is found.")) (|wronskianMatrix| (((|Matrix| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{wronskianMatrix([f1,...,fn], q, D)} returns the \\spad{q x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}.") (((|Matrix| |#1|) (|List| |#1|)) "\\spad{wronskianMatrix([f1,...,fn])} returns the \\spad{n x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}.")))
NIL
NIL
-(-836 -3651 S |f|)
+(-836 -3746 S |f|)
((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The ordering on the type is determined by its third argument which represents the less than function on vectors. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}.")))
((-4493 |has| |#2| (-1079)) (-4494 |has| |#2| (-1079)) (-4496 |has| |#2| (-6 -4496)) (-4499 . T))
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(-577))))) (-12 (|HasCategory| |#2| (QUOTE (-747))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-814))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-870))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))))) (|HasCategory| (-577) (QUOTE (-870))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-1079)))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -928) (QUOTE (-1206))))) (-2816 (|HasCategory| |#2| (QUOTE (-1079))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-1130)))) (|HasAttribute| |#2| (QUOTE -4496)) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1079)))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206))))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))))
(-837 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")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-6 -4497)) (-4494 . T) (-4493 . T) (-4496 . T))
-((|HasCategory| |#1| (QUOTE (-937))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2867 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2867 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-391))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577)))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (-2867 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4497)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (-2867 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-146)))))
+((|HasCategory| |#1| (QUOTE (-937))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2816 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2816 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-391))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577)))))) (-12 (|HasCategory| (-839 (-1206)) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4497)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-146)))))
(-838 |Kernels| R |var|)
((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable.")))
(((-4501 "*") |has| |#2| (-375)) (-4492 |has| |#2| (-375)) (-4497 |has| |#2| (-375)) (-4491 |has| |#2| (-375)) (-4496 . T) (-4494 . T) (-4493 . 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.")))
((-4496 |has| |#1| (-869)))
-((|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (QUOTE (-21))) (-2867 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-869)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (-2867 (|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558))))
+((|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (QUOTE (-21))) (-2816 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-869)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (-2816 (|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558))))
(-855 A S)
((|constructor| (NIL "This category specifies the interface for operators used to build terms,{} in the sense of Universal Algebra. The domain parameter \\spad{S} provides representation for the `external name' of an operator.")) (|is?| (((|Boolean|) $ |#2|) "\\spad{is?(op,n)} holds if the name of the operator \\spad{op} is \\spad{n}.")) (|arity| (((|Arity|) $) "\\spad{arity(op)} returns the arity of the operator \\spad{op}.")) (|name| ((|#2| $) "\\spad{name(op)} returns the externam name of \\spad{op}.")))
NIL
@@ -3387,12 +3387,12 @@ 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| (($) "\\spad{plusInfinity()} returns +infinity.")))
((-4496 |has| |#1| (-869)))
-((|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (QUOTE (-21))) (-2867 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-869)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (-2867 (|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558))))
+((|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (QUOTE (-21))) (-2816 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-869)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (-2816 (|HasCategory| |#1| (QUOTE (-869))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558))))
(-865)
((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%.")))
NIL
NIL
-(-866 -3651 S)
+(-866 -3746 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
@@ -3436,11 +3436,11 @@ 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{''}. \\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{''}. \\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{''}. \\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{''}. \\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 (-375))) (|HasCategory| |#1| (QUOTE (-569))))
-(-877 R |sigma| -1797)
+(-877 R |sigma| -3852)
((|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.")))
((-4493 . T) (-4494 . T) (-4496 . T))
((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-375))))
-(-878 |x| R |sigma| -1797)
+(-878 |x| R |sigma| -3852)
((|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}.")))
((-4493 . T) (-4494 . T) (-4496 . T))
((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-375))))
@@ -3507,15 +3507,15 @@ NIL
(-894 |p|)
((|constructor| (NIL "Stream-based implementation of \\spad{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).")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
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+((|HasCategory| (-893 |#1|) (QUOTE (-937))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-893 |#1|) (QUOTE (-146))) (|HasCategory| (-893 |#1|) (QUOTE (-148))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-893 |#1|) (QUOTE (-1052))) (|HasCategory| (-893 |#1|) (QUOTE (-841))) (|HasCategory| (-893 |#1|) (QUOTE (-870))) (-2816 (|HasCategory| (-893 |#1|) (QUOTE (-841))) (|HasCategory| (-893 |#1|) (QUOTE (-870)))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-893 |#1|) (QUOTE (-1182))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| (-893 |#1|) (QUOTE (-238))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-893 |#1|) (QUOTE (-239))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -527) (QUOTE (-1206)) (LIST (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -320) (LIST (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (LIST (QUOTE -297) (LIST (QUOTE -893) (|devaluate| |#1|)) (LIST (QUOTE -893) (|devaluate| |#1|)))) (|HasCategory| (-893 |#1|) (QUOTE (-318))) (|HasCategory| (-893 |#1|) (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-893 |#1|) (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-893 |#1|) (QUOTE (-937)))) (|HasCategory| (-893 |#1|) (QUOTE (-146)))))
(-895 |p| PADIC)
((|constructor| (NIL "This is the category of stream-based representations of \\spad{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)}.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| |#2| (QUOTE (-937))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1052))) (|HasCategory| |#2| (QUOTE (-841))) (|HasCategory| |#2| (QUOTE (-870))) (-2867 (|HasCategory| |#2| (QUOTE (-841))) (|HasCategory| |#2| (QUOTE (-870)))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-1182))) (|HasCategory| |#2| (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#2| (LIST (QUOTE -527) (QUOTE (-1206)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -297) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-937)))) (-2867 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-937)))) (|HasCategory| |#2| (QUOTE (-146)))))
+((|HasCategory| |#2| (QUOTE (-937))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1052))) (|HasCategory| |#2| (QUOTE (-841))) (|HasCategory| |#2| (QUOTE (-870))) (-2816 (|HasCategory| |#2| (QUOTE (-841))) (|HasCategory| |#2| (QUOTE (-870)))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-1182))) (|HasCategory| |#2| (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| |#2| (LIST (QUOTE -527) (QUOTE (-1206)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -297) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-937)))) (|HasCategory| |#2| (QUOTE (-146)))))
(-896 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 \\spad{`p'}.")) (|first| ((|#1| $) "\\spad{first(p)} extracts the first component of \\spad{`p'}.")) (|construct| (($ |#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 \\spad{`s'} and \\spad{`t'}.")))
NIL
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))))
(-897)
((|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\\spad{'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\\spad{'s} lowest value.")))
NIL
@@ -3575,7 +3575,7 @@ NIL
(-911 |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 (-2779 (|HasCategory| |#2| (QUOTE (-1079)))) (-2779 (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (-2779 (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))))
+((-12 (-2740 (|HasCategory| |#2| (QUOTE (-1079)))) (-2740 (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))))) (-12 (|HasCategory| |#2| (QUOTE (-1079))) (-2740 (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))))) (|HasCategory| |#2| (LIST (QUOTE -1068) (QUOTE (-1206)))))
(-912 R A B)
((|constructor| (NIL "Lifts maps to pattern matching results.")) (|map| (((|PatternMatchResult| |#1| |#3|) (|Mapping| |#3| |#2|) (|PatternMatchResult| |#1| |#2|)) "\\spad{map(f, [(v1,a1),...,(vn,an)])} returns the matching result [(\\spad{v1},{}\\spad{f}(a1)),{}...,{}(\\spad{vn},{}\\spad{f}(an))].")))
NIL
@@ -3584,7 +3584,7 @@ NIL
((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r, p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,e1],...,[vn,en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var, expr, r, val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var, r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a, b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match.")))
NIL
NIL
-(-914 R -2389)
+(-914 R -3740)
((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p, v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,...,vn], p)} returns \\spad{f(v1,...,vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v, p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p, [a1,...,an], f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,...,an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p, [f1,...,fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p, f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned.")))
NIL
NIL
@@ -3616,7 +3616,7 @@ NIL
((|PDESolve| (((|Result|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{PDESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far.")))
NIL
NIL
-(-922 UP -2057)
+(-922 UP -2068)
((|constructor| (NIL "This package \\undocumented")) (|rightFactorCandidate| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{rightFactorCandidate(p,n)} \\undocumented")) (|leftFactor| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftFactor(p,q)} \\undocumented")) (|decompose| (((|Union| (|Record| (|:| |left| |#1|) (|:| |right| |#1|)) "failed") |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{decompose(up,m,n)} \\undocumented") (((|List| |#1|) |#1|) "\\spad{decompose(up)} \\undocumented")))
NIL
NIL
@@ -3647,7 +3647,7 @@ NIL
(-929 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})\\spad{'s}")) (|ptree| (($ $ $) "\\spad{ptree(x,y)} \\undocumented") (($ |#1|) "\\spad{ptree(s)} is a leaf? pendant tree")))
NIL
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-930 |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,{} \\spad{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 \\spad{x:}\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} \\spad{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
@@ -3663,7 +3663,7 @@ NIL
(-933 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.")))
((-4496 . T))
-((-2867 (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-870)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-870))))
+((-2816 (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-870)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-870))))
(-934 R E |VarSet| S)
((|constructor| (NIL "PolynomialFactorizationByRecursion(\\spad{R},{}\\spad{E},{}\\spad{VarSet},{}\\spad{S}) is used for factorization of sparse univariate polynomials over a domain \\spad{S} of multivariate polynomials over \\spad{R}.")) (|factorSFBRlcUnit| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|List| |#3|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSFBRlcUnit(p)} returns the square free factorization of polynomial \\spad{p} (see \\spadfun{factorSquareFreeByRecursion}{PolynomialFactorizationByRecursionUnivariate}) in the case where the leading coefficient of \\spad{p} is a unit.")) (|bivariateSLPEBR| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|) |#3|) "\\spad{bivariateSLPEBR(lp,p,v)} implements the bivariate case of \\spadfunFrom{solveLinearPolynomialEquationByRecursion}{PolynomialFactorizationByRecursionUnivariate}; its implementation depends on \\spad{R}")) (|randomR| ((|#1|) "\\spad{randomR produces} a random element of \\spad{R}")) (|factorSquareFreeByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSquareFreeByRecursion(p)} returns the square free factorization of \\spad{p}. This functions performs the recursion step for factorSquareFreePolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorSquareFreePolynomial}).")) (|factorByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorByRecursion(p)} factors polynomial \\spad{p}. This function performs the recursion step for factorPolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorPolynomial})")) (|solveLinearPolynomialEquationByRecursion| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{solveLinearPolynomialEquationByRecursion([p1,...,pn],p)} returns the list of polynomials \\spad{[q1,...,qn]} such that \\spad{sum qi/pi = p / prod pi},{} a recursion step for solveLinearPolynomialEquation as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{solveLinearPolynomialEquation}). If no such list of \\spad{qi} exists,{} then \"failed\" is returned.")))
NIL
@@ -3684,7 +3684,7 @@ NIL
((|constructor| (NIL "PrimeField(\\spad{p}) implements the field with \\spad{p} elements if \\spad{p} is a prime number. Error: if \\spad{p} is not prime. Note: this domain does not check that argument is a prime.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-380))))
-(-939 R0 -2057 UP UPUP R)
+(-939 R0 -2068 UP UPUP R)
((|constructor| (NIL "This package provides function for testing whether a divisor on a curve is a torsion divisor.")) (|torsionIfCan| (((|Union| (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| |#5|)) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsionIfCan(f)}\\\\ undocumented")) (|torsion?| (((|Boolean|) (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsion?(f)} \\undocumented")) (|order| (((|Union| (|NonNegativeInteger|) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{order(f)} \\undocumented")))
NIL
NIL
@@ -3712,7 +3712,7 @@ NIL
((|constructor| (NIL "PermutationGroupExamples provides permutation groups for some classes of groups: symmetric,{} alternating,{} dihedral,{} cyclic,{} direct products of cyclic,{} which are in fact the finite abelian groups of symmetric groups called Young subgroups. Furthermore,{} Rubik\\spad{'s} group as permutation group of 48 integers and a list of sporadic simple groups derived from the atlas of finite groups.")) (|youngGroup| (((|PermutationGroup| (|Integer|)) (|Partition|)) "\\spad{youngGroup(lambda)} constructs the direct product of the symmetric groups given by the parts of the partition {\\em lambda}.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{youngGroup([n1,...,nk])} constructs the direct product of the symmetric groups {\\em Sn1},{}...,{}{\\em Snk}.")) (|rubiksGroup| (((|PermutationGroup| (|Integer|))) "\\spad{rubiksGroup constructs} the permutation group representing Rubic\\spad{'s} Cube acting on integers {\\em 10*i+j} for {\\em 1 <= i <= 6},{} {\\em 1 <= j <= 8}. The faces of Rubik\\spad{'s} Cube are labelled in the obvious way Front,{} Right,{} Up,{} Down,{} Left,{} Back and numbered from 1 to 6 in this given ordering,{} the pieces on each face (except the unmoveable center piece) are clockwise numbered from 1 to 8 starting with the piece in the upper left corner. The moves of the cube are represented as permutations on these pieces,{} represented as a two digit integer {\\em ij} where \\spad{i} is the numer of theface (1 to 6) and \\spad{j} is the number of the piece on this face. The remaining ambiguities are resolved by looking at the 6 generators,{} which represent a 90 degree turns of the faces,{} or from the following pictorial description. Permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=8}. \\blankline\\begin{verbatim}Rubik's Cube: +-----+ +-- B where: marks Side # : / U /|/ / / | F(ront) <-> 1 L --> +-----+ R| R(ight) <-> 2 | | + U(p) <-> 3 | F | / D(own) <-> 4 | |/ L(eft) <-> 5 +-----+ B(ack) <-> 6 ^ | DThe Cube's surface: The pieces on each side +---+ (except the unmoveable center |567| piece) are clockwise numbered |4U8| from 1 to 8 starting with the |321| piece in the upper left +---+---+---+ corner (see figure on the |781|123|345| left). The moves of the cube |6L2|8F4|2R6| are represented as |543|765|187| permutations on these pieces. +---+---+---+ Each of the pieces is |123| represented as a two digit |8D4| integer ij where i is the |765| # of the side ( 1 to 6 for +---+ F to B (see table above )) |567| and j is the # of the piece. |4B8| |321| +---+\\end{verbatim}")) (|janko2| (((|PermutationGroup| (|Integer|))) "\\spad{janko2 constructs} the janko group acting on the integers 1,{}...,{}100.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{janko2(li)} constructs the janko group acting on the 100 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 100 different entries")) (|mathieu24| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu24 constructs} the mathieu group acting on the integers 1,{}...,{}24.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu24(li)} constructs the mathieu group acting on the 24 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 24 different entries.")) (|mathieu23| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu23 constructs} the mathieu group acting on the integers 1,{}...,{}23.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu23(li)} constructs the mathieu group acting on the 23 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 23 different entries.")) (|mathieu22| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu22 constructs} the mathieu group acting on the integers 1,{}...,{}22.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu22(li)} constructs the mathieu group acting on the 22 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 22 different entries.")) (|mathieu12| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu12 constructs} the mathieu group acting on the integers 1,{}...,{}12.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu12(li)} constructs the mathieu group acting on the 12 integers given in the list {\\em li}. Note: duplicates in the list will be removed Error: if {\\em li} has less or more than 12 different entries.")) (|mathieu11| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu11 constructs} the mathieu group acting on the integers 1,{}...,{}11.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu11(li)} constructs the mathieu group acting on the 11 integers given in the list {\\em li}. Note: duplicates in the list will be removed. error,{} if {\\em li} has less or more than 11 different entries.")) (|dihedralGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{dihedralGroup([i1,...,ik])} constructs the dihedral group of order 2k acting on the integers out of {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{dihedralGroup(n)} constructs the dihedral group of order 2n acting on integers 1,{}...,{}\\spad{N}.")) (|cyclicGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{cyclicGroup([i1,...,ik])} constructs the cyclic group of order \\spad{k} acting on the integers {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{cyclicGroup(n)} constructs the cyclic group of order \\spad{n} acting on the integers 1,{}...,{}\\spad{n}.")) (|abelianGroup| (((|PermutationGroup| (|Integer|)) (|List| (|PositiveInteger|))) "\\spad{abelianGroup([n1,...,nk])} constructs the abelian group that is the direct product of cyclic groups with order {\\em ni}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(li)} constructs the alternating group acting on the integers in the list {\\em li},{} generators are in general the {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is odd and product of the 2-cycle {\\em (li.1,li.2)} with {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is even. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{alternatingGroup(n)} constructs the alternating group {\\em An} acting on the integers 1,{}...,{}\\spad{n},{} generators are in general the {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is odd and the product of the 2-cycle {\\em (1,2)} with {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is even.")) (|symmetricGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{symmetricGroup(li)} constructs the symmetric group acting on the integers in the list {\\em li},{} generators are the cycle given by {\\em li} and the 2-cycle {\\em (li.1,li.2)}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{symmetricGroup(n)} constructs the symmetric group {\\em Sn} acting on the integers 1,{}...,{}\\spad{n},{} generators are the {\\em n}-cycle {\\em (1,...,n)} and the 2-cycle {\\em (1,2)}.")))
NIL
NIL
-(-946 -2057)
+(-946 -2068)
((|constructor| (NIL "Groebner functions for \\spad{P} \\spad{F} \\indented{2}{This package is an interface package to the groebner basis} package which allows you to compute groebner bases for polynomials in either lexicographic ordering or total degree ordering refined by reverse lex. The input is the ordinary polynomial type which is internally converted to a type with the required ordering. The resulting grobner basis is converted back to ordinary polynomials. The ordering among the variables is controlled by an explicit list of variables which is passed as a second argument. The coefficient domain is allowed to be any \\spad{gcd} domain,{} but the groebner basis is computed as if the polynomials were over a field.")) (|totalGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{totalGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} with the terms ordered first by total degree and then refined by reverse lexicographic ordering. The variables are ordered by their position in the list \\spad{lv}.")) (|lexGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{lexGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} in lexicographic order. The variables are ordered by their position in the list \\spad{lv}.")))
NIL
NIL
@@ -3728,11 +3728,11 @@ NIL
((|constructor| (NIL "\\spadtype{PositiveInteger} provides functions for \\indented{2}{positive integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : x*y = \\spad{y*x}")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two positive integers \\spad{a} and \\spad{b}.")))
(((-4501 "*") . T))
NIL
-(-950 -2057 P)
+(-950 -2068 P)
((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented")))
NIL
NIL
-(-951 |xx| -2057)
+(-951 |xx| -2068)
((|constructor| (NIL "This package exports interpolation algorithms")) (|interpolate| (((|SparseUnivariatePolynomial| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(lf,lg)} \\undocumented") (((|UnivariatePolynomial| |#1| |#2|) (|UnivariatePolynomial| |#1| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(u,lf,lg)} \\undocumented")))
NIL
NIL
@@ -3756,7 +3756,7 @@ NIL
((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented")))
NIL
NIL
-(-957 R -2057)
+(-957 R -2068)
((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|Identifier|)) "\\spad{assert(x, s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol.")))
NIL
NIL
@@ -3768,7 +3768,7 @@ NIL
((|constructor| (NIL "This packages provides tools for matching recursively in type towers.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#2| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches. Note: this function handles type towers by changing the predicates and calling the matching function provided by \\spad{A}.")) (|fixPredicate| (((|Mapping| (|Boolean|) |#2|) (|Mapping| (|Boolean|) |#3|)) "\\spad{fixPredicate(f)} returns \\spad{g} defined by \\spad{g}(a) = \\spad{f}(a::B).")))
NIL
NIL
-(-960 S R -2057)
+(-960 S R -2068)
((|constructor| (NIL "This package provides pattern matching functions on function spaces.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches.")))
NIL
NIL
@@ -3788,11 +3788,11 @@ NIL
((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p, pat, res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p, pat, res, vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables.")))
NIL
((|HasCategory| |#3| (LIST (QUOTE -910) (|devaluate| |#1|))))
-(-965 R -2057 -2389)
+(-965 R -2068 -3740)
((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x, [f1, f2, ..., fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol.")))
NIL
NIL
-(-966 -2389)
+(-966 -3740)
((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x, [f1, f2, ..., fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}.")))
NIL
NIL
@@ -3815,7 +3815,7 @@ NIL
(-971 R)
((|constructor| (NIL "This domain implements points in coordinate space")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-747))) (|HasCategory| |#1| (QUOTE (-1079))) (-12 (|HasCategory| |#1| (QUOTE (-1032))) (|HasCategory| |#1| (QUOTE (-1079)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-747))) (|HasCategory| |#1| (QUOTE (-1079))) (-12 (|HasCategory| |#1| (QUOTE (-1032))) (|HasCategory| |#1| (QUOTE (-1079)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-972 |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
@@ -3840,7 +3840,7 @@ NIL
((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#3|) "\\spad{primitivePart(p,v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#3|) "\\spad{content(p,v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#3|) "\\spad{discriminant(p,v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#3|) "\\spad{resultant(p,q,v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note: \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),...,X^(n)]}.")) (|variables| (((|List| |#3|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#3|)) "\\spad{totalDegree(p, lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#3|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,[v1..vn],[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{monomial(a,x,n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\spad{monicDivide(a,b,v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{minimumDegree(p, lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#3|) "\\spad{minimumDegree(p,v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#3| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#3|) "\\spad{univariate(p,v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),...,a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p, lv, ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{coefficient(p,v,n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{degree(p,lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-6 -4497)) (-4494 . T) (-4493 . T) (-4496 . T))
NIL
-(-978 E V R P -2057)
+(-978 E V R P -2068)
((|constructor| (NIL "This package transforms multivariate polynomials or fractions into univariate polynomials or fractions,{} and back.")) (|isPower| (((|Union| (|Record| (|:| |val| |#5|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#2|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1 ... an} and \\spad{n > 1},{} \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isPlus(p)} returns [\\spad{m1},{}...,{}\\spad{mn}] if \\spad{p = m1 + ... + mn} and \\spad{n > 1},{} \"failed\" otherwise.")) (|multivariate| ((|#5| (|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#2|) "\\spad{multivariate(f, v)} applies both the numerator and denominator of \\spad{f} to \\spad{v}.")) (|univariate| (((|SparseUnivariatePolynomial| |#5|) |#5| |#2| (|SparseUnivariatePolynomial| |#5|)) "\\spad{univariate(f, x, p)} returns \\spad{f} viewed as a univariate polynomial in \\spad{x},{} using the side-condition \\spad{p(x) = 0}.") (((|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#5| |#2|) "\\spad{univariate(f, v)} returns \\spad{f} viewed as a univariate rational function in \\spad{v}.")) (|mainVariable| (((|Union| |#2| "failed") |#5|) "\\spad{mainVariable(f)} returns the highest variable appearing in the numerator or the denominator of \\spad{f},{} \"failed\" if \\spad{f} has no variables.")) (|variables| (((|List| |#2|) |#5|) "\\spad{variables(f)} returns the list of variables appearing in the numerator or the denominator of \\spad{f}.")))
NIL
NIL
@@ -3851,8 +3851,8 @@ NIL
(-980 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}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-6 -4497)) (-4494 . T) (-4493 . T) (-4496 . T))
-((|HasCategory| |#1| (QUOTE (-937))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2867 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2867 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-391))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577)))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (-2867 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4497)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (-2867 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-146)))))
-(-981 E V R P -2057)
+((|HasCategory| |#1| (QUOTE (-937))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2816 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-937)))) (-2816 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-391))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -910) (QUOTE (-577))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577)))))) (-12 (|HasCategory| (-1206) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4497)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-937)))) (|HasCategory| |#1| (QUOTE (-146)))))
+(-981 E V R P -2068)
((|constructor| (NIL "computes \\spad{n}-th roots of quotients of multivariate polynomials")) (|nthr| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#4|) (|:| |radicand| (|List| |#4|))) |#4| (|NonNegativeInteger|)) "\\spad{nthr(p,n)} should be local but conditional")) (|froot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#5| (|NonNegativeInteger|)) "\\spad{froot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|qroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) (|Fraction| (|Integer|)) (|NonNegativeInteger|)) "\\spad{qroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|rroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#3| (|NonNegativeInteger|)) "\\spad{rroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|denom| ((|#4| $) "\\spad{denom(x)} \\undocumented")) (|numer| ((|#4| $) "\\spad{numer(x)} \\undocumented")))
NIL
((|HasCategory| |#3| (QUOTE (-465))))
@@ -3875,12 +3875,12 @@ NIL
(-986 S)
((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt\\spad{'s}.} Minimum index is 0 in this type,{} cannot be changed")))
((-4500 . T) (-4499 . T))
-((-2867 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2867 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
+((-2816 (-12 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| |#1| (QUOTE (-870))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))))
(-987)
((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f, x = a..b)} returns the formal definite integral of \\spad{f} \\spad{dx} for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f, x)} returns the formal integral of \\spad{f} \\spad{dx}.")))
NIL
NIL
-(-988 -2057)
+(-988 -2068)
((|constructor| (NIL "PrimitiveElement provides functions to compute primitive elements in algebraic extensions.")) (|primitiveElement| (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|Symbol|)) "\\spad{primitiveElement([p1,...,pn], [a1,...,an], a)} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{primitiveElement([p1,...,pn], [a1,...,an])} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|Polynomial| |#1|) (|Symbol|) (|Polynomial| |#1|) (|Symbol|)) "\\spad{primitiveElement(p1, a1, p2, a2)} returns \\spad{[c1, c2, q]} such that \\spad{k(a1, a2) = k(a)} where \\spad{a = c1 a1 + c2 a2, and q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve a2. This operation uses \\spadfun{resultant}.")))
NIL
NIL
@@ -3895,11 +3895,11 @@ NIL
(-991 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}")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-6 -4497)) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2867 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4497)))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4497)))
(-992 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")))
((-4496 -12 (|has| |#2| (-486)) (|has| |#1| (-486))))
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(-993)
((|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 \\spad{`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
@@ -3988,7 +3988,7 @@ NIL
((|constructor| (NIL "This package \\undocumented{}")) (|map| ((|#4| (|Mapping| |#4| (|Polynomial| |#1|)) |#4|) "\\spad{map(f,p)} \\undocumented{}")) (|pushup| ((|#4| |#4| (|List| |#3|)) "\\spad{pushup(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushup(p,v)} \\undocumented{}")) (|pushdown| ((|#4| |#4| (|List| |#3|)) "\\spad{pushdown(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushdown(p,v)} \\undocumented{}")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol")))
NIL
NIL
-(-1015 K R UP -2057)
+(-1015 K R UP -2068)
((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a monogenic algebra over \\spad{R}. We require that \\spad{F} is monogenic,{} \\spadignore{i.e.} that \\spad{F = K[x,y]/(f(x,y))},{} because the integral basis algorithm used will factor the polynomial \\spad{f(x,y)}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|reducedDiscriminant| ((|#2| |#3|) "\\spad{reducedDiscriminant(up)} \\undocumented")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the integral closure of \\spad{R} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")))
NIL
NIL
@@ -4047,11 +4047,11 @@ NIL
(-1029 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.}")))
((-4492 |has| |#1| (-301)) (-4493 . T) (-4494 . T) (-4496 . T))
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+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-375))) (-2816 (|HasCategory| |#1| (QUOTE (-301))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-301))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#1| (LIST (QUOTE -659) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1206)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-1090))) (|HasCategory| |#1| (QUOTE (-558))))
(-1030 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}.")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-1031 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| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}.")))
NIL
@@ -4060,14 +4060,14 @@ NIL
((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|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
NIL
-(-1033 -2057 UP UPUP |radicnd| |n|)
+(-1033 -2068 UP UPUP |radicnd| |n|)
((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x}).")))
((-4492 |has| (-420 |#2|) (-375)) (-4497 |has| (-420 |#2|) (-375)) (-4491 |has| (-420 |#2|) (-375)) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
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+((|HasCategory| (-420 |#2|) (QUOTE (-146))) (|HasCategory| (-420 |#2|) (QUOTE (-148))) (|HasCategory| (-420 |#2|) (QUOTE (-361))) (-2816 (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-380))) (-2816 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2816 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2816 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-361))))) (-2816 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -659) (QUOTE (-577)))) (-2816 (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))))
(-1034 |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.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| (-577) (QUOTE (-937))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1052))) (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870))) (-2867 (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870)))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1182))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (-2867 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (|HasCategory| (-577) (QUOTE (-146)))))
+((|HasCategory| (-577) (QUOTE (-937))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -632) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1052))) (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870))) (-2816 (|HasCategory| (-577) (QUOTE (-841))) (|HasCategory| (-577) (QUOTE (-870)))) (|HasCategory| (-577) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1182))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -910) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -632) (LIST (QUOTE -916) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1206)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -659) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-937)))) (|HasCategory| (-577) (QUOTE (-146)))))
(-1035)
((|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
@@ -4100,19 +4100,19 @@ NIL
((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|PositiveInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}")))
((-4492 . T) (-4497 . T) (-4491 . T) (-4494 . T) (-4493 . T) ((-4501 "*") . T) (-4496 . T))
NIL
-(-1043 R -2057)
+(-1043 R -2068)
((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 1 February 1988 Date Last Updated: 2 November 1995 Keywords: elementary,{} function,{} integration.")) (|rischDE| (((|Record| (|:| |ans| |#2|) (|:| |right| |#2|) (|:| |sol?| (|Boolean|))) (|Integer|) |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDE(n, f, g, x, lim, ext)} returns \\spad{[y, h, b]} such that \\spad{dy/dx + n df/dx y = h} and \\spad{b := h = g}. The equation \\spad{dy/dx + n df/dx y = g} has no solution if \\spad{h \\~~= g} (\\spad{y} is a partial solution in that case). Notes: \\spad{lim} is a limited integration function,{} and ext is an extended integration function.")))
NIL
NIL
-(-1044 R -2057)
+(-1044 R -2068)
((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 12 August 1992 Date Last Updated: 17 August 1992 Keywords: elementary,{} function,{} integration.")) (|rischDEsys| (((|Union| (|List| |#2|) "failed") (|Integer|) |#2| |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDEsys(n, f, g_1, g_2, x,lim,ext)} returns \\spad{y_1.y_2} such that \\spad{(dy1/dx,dy2/dx) + ((0, - n df/dx),(n df/dx,0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise. \\spad{lim} is a limited integration function,{} \\spad{ext} is an extended integration function.")))
NIL
NIL
-(-1045 -2057 UP)
+(-1045 -2068 UP)
((|constructor| (NIL "\\indented{1}{Risch differential equation,{} transcendental case.} Author: Manuel Bronstein Date Created: Jan 1988 Date Last Updated: 2 November 1995")) (|polyRDE| (((|Union| (|:| |ans| (|Record| (|:| |ans| |#2|) (|:| |nosol| (|Boolean|)))) (|:| |eq| (|Record| (|:| |b| |#2|) (|:| |c| |#2|) (|:| |m| (|Integer|)) (|:| |alpha| |#2|) (|:| |beta| |#2|)))) |#2| |#2| |#2| (|Integer|) (|Mapping| |#2| |#2|)) "\\spad{polyRDE(a, B, C, n, D)} returns either: 1. \\spad{[Q, b]} such that \\spad{degree(Q) <= n} and \\indented{3}{\\spad{a Q'+ B Q = C} if \\spad{b = true},{} \\spad{Q} is a partial solution} \\indented{3}{otherwise.} 2. \\spad{[B1, C1, m, \\alpha, \\beta]} such that any polynomial solution \\indented{3}{of degree at most \\spad{n} of \\spad{A Q' + BQ = C} must be of the form} \\indented{3}{\\spad{Q = \\alpha H + \\beta} where \\spad{degree(H) <= m} and} \\indented{3}{\\spad{H} satisfies \\spad{H' + B1 H = C1}.} \\spad{D} is the derivation to use.")) (|baseRDE| (((|Record| (|:| |ans| (|Fraction| |#2|)) (|:| |nosol| (|Boolean|))) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDE(f, g)} returns a \\spad{[y, b]} such that \\spad{y' + fy = g} if \\spad{b = true},{} \\spad{y} is a partial solution otherwise (no solution in that case). \\spad{D} is the derivation to use.")) (|monomRDE| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |c| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDE(f,g,D)} returns \\spad{[A, B, C, T]} such that \\spad{y' + f y = g} has a solution if and only if \\spad{y = Q / T},{} where \\spad{Q} satisfies \\spad{A Q' + B Q = C} and has no normal pole. A and \\spad{T} are polynomials and \\spad{B} and \\spad{C} have no normal poles. \\spad{D} is the derivation to use.")))
NIL
NIL
-(-1046 -2057 UP)
+(-1046 -2068 UP)
((|constructor| (NIL "\\indented{1}{Risch differential equation system,{} transcendental case.} Author: Manuel Bronstein Date Created: 17 August 1992 Date Last Updated: 3 February 1994")) (|baseRDEsys| (((|Union| (|List| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDEsys(f, g1, g2)} returns fractions \\spad{y_1.y_2} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise.")) (|monomRDEsys| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |h| |#2|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDEsys(f,g1,g2,D)} returns \\spad{[A, B, H, C1, C2, T]} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} has a solution if and only if \\spad{y1 = Q1 / T, y2 = Q2 / T},{} where \\spad{B,C1,C2,Q1,Q2} have no normal poles and satisfy A \\spad{(Q1', Q2') + ((H, -B), (B, H)) (Q1,Q2) = (C1,C2)} \\spad{D} is the derivation to use.")))
NIL
NIL
@@ -4147,8 +4147,8 @@ NIL
(-1054 |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")))
((-4492 . T) (-4497 . T) (-4491 . T) (-4494 . T) (-4493 . T) ((-4501 "*") . T) (-4496 . T))
-((-2867 (|HasCategory| (-420 (-577)) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1068) (QUOTE (-577)))))
-(-1055 -2057 L)
+((-2816 (|HasCategory| (-420 (-577)) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1068) (QUOTE (-577)))))
+(-1055 -2068 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
NIL
@@ -4184,14 +4184,14 @@ NIL
((|constructor| (NIL "This package provides coercions for the special types \\spadtype{Exit} and \\spadtype{Void}.")) (|coerce| ((|#1| (|Exit|)) "\\spad{coerce(e)} is never really evaluated. This coercion is used for formal type correctness when a function will not return directly to its caller.") (((|Void|) |#1|) "\\spad{coerce(s)} throws all information about \\spad{s} away. This coercion allows values of any type to appear in contexts where they will not be used. For example,{} it allows the resolution of different types in the \\spad{then} and \\spad{else} branches when an \\spad{if} is in a context where the resulting value is not used.")))
NIL
NIL
-(-1064 -2057 |Expon| |VarSet| |FPol| |LFPol|)
+(-1064 -2068 |Expon| |VarSet| |FPol| |LFPol|)
((|constructor| (NIL "ResidueRing is the quotient of a polynomial ring by an ideal. The ideal is given as a list of generators. The elements of the domain are equivalence classes expressed in terms of reduced elements")) (|lift| ((|#4| $) "\\spad{lift(x)} return the canonical representative of the equivalence class \\spad{x}")) (|coerce| (($ |#4|) "\\spad{coerce(f)} produces the equivalence class of \\spad{f} in the residue ring")) (|reduce| (($ |#4|) "\\spad{reduce(f)} produces the equivalence class of \\spad{f} in the residue ring")))
(((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
(-1065)
((|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.}")))
((-4499 . T) (-4500 . T))
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+((-12 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (QUOTE (-1206))) (LIST (QUOTE |:|) (QUOTE -3988) (QUOTE (-52))))))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-1206) (QUOTE (-870))) (|HasCategory| (-52) (QUOTE (-1130))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-102))))
(-1066)
((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'.")))
NIL
@@ -4248,7 +4248,7 @@ NIL
((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists.")))
((-4496 . T))
NIL
-(-1080 |xx| -2057)
+(-1080 |xx| -2068)
((|constructor| (NIL "This package exports rational interpolation algorithms")))
NIL
NIL
@@ -4267,7 +4267,7 @@ NIL
(-1084 |m| |n| R)
((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}.")))
((-4499 . T) (-4494 . T) (-4493 . T))
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+((|HasCategory| |#3| (QUOTE (-174))) (-2816 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-375)))) (|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (QUOTE (-318))) (|HasCategory| |#3| (QUOTE (-569))) (-12 (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (LIST (QUOTE -631) (QUOTE (-885)))))
(-1085 |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
@@ -4303,7 +4303,7 @@ NIL
(-1093)
((|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| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE\\spad{'s}")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE\\spad{'s}")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,y)} merges two tables \\spad{x} and \\spad{y}")))
((-4499 . T) (-4500 . T))
-((-12 (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4376) (QUOTE (-1206))) (LIST (QUOTE |:|) (QUOTE -2727) (QUOTE (-52))))))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-1130))) (|HasCategory| (-1206) (QUOTE (-870))) (|HasCategory| (-52) (QUOTE (-1130))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (-2867 (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (QUOTE (-102))))
+((-12 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (QUOTE (-1206))) (LIST (QUOTE |:|) (QUOTE -3988) (QUOTE (-52))))))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1130))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-1130))) (|HasCategory| (-1206) (QUOTE (-870))) (|HasCategory| (-52) (QUOTE (-1130))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885))))) (-2816 (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (QUOTE (-102))))
(-1094 S R E V)
((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. 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| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{nextsubResultant2(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{next_sousResultant2}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient2(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{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 \\spad{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{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#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!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|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)\\spad{*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)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#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},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{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},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{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},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{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},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{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
@@ -4352,11 +4352,11 @@ NIL
((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol")))
NIL
NIL
-(-1106 |Base| R -2057)
+(-1106 |Base| R -2068)
((|constructor| (NIL "\\indented{1}{Rules for the pattern matcher} Author: Manuel Bronstein Date Created: 24 Oct 1988 Date Last Updated: 26 October 1993 Keywords: pattern,{} matching,{} rule.")) (|quotedOperators| (((|List| (|Symbol|)) $) "\\spad{quotedOperators(r)} returns the list of operators on the right hand side of \\spad{r} that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies the rule \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rhs| ((|#3| $) "\\spad{rhs(r)} returns the right hand side of the rule \\spad{r}.")) (|lhs| ((|#3| $) "\\spad{lhs(r)} returns the left hand side of the rule \\spad{r}.")) (|pattern| (((|Pattern| |#1|) $) "\\spad{pattern(r)} returns the pattern corresponding to the left hand side of the rule \\spad{r}.")) (|suchThat| (($ $ (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#3|))) "\\spad{suchThat(r, [a1,...,an], f)} returns the rewrite rule \\spad{r} with the predicate \\spad{f(a1,...,an)} attached to it.")) (|rule| (($ |#3| |#3| (|List| (|Symbol|))) "\\spad{rule(f, g, [f1,...,fn])} creates the rewrite rule \\spad{f == eval(eval(g, g is f), [f1,...,fn])},{} that is a rule with left-hand side \\spad{f} and right-hand side \\spad{g}; The symbols \\spad{f1},{}...,{}\\spad{fn} are the operators that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.") (($ |#3| |#3|) "\\spad{rule(f, g)} creates the rewrite rule: \\spad{f == eval(g, g is f)},{} with left-hand side \\spad{f} and right-hand side \\spad{g}.")))
NIL
NIL
-(-1107 |Base| R -2057)
+(-1107 |Base| R -2068)
((|constructor| (NIL "A ruleset is a set of pattern matching rules grouped together.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies all the rules of \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rules| (((|List| (|RewriteRule| |#1| |#2| |#3|)) $) "\\spad{rules(r)} returns the rules contained in \\spad{r}.")) (|ruleset| (($ (|List| (|RewriteRule| |#1| |#2| |#3|))) "\\spad{ruleset([r1,...,rn])} creates the rule set \\spad{{r1,...,rn}}.")))
NIL
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.")))
((-4492 |has| |#1| (-375)) (-4497 |has| |#1| (-375)) (-4491 |has| |#1| (-375)) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
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(-1111 UP SAE UPA)
((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of \\spadtype{Fraction Polynomial Integer}.")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}.")))
NIL
@@ -4399,7 +4399,7 @@ NIL
(-1117 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")))
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(-1118 S)
((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. 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
@@ -4459,7 +4459,7 @@ NIL
(-1132 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)}}")))
((-4499 . T) (-4489 . T) (-4500 . T))
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(-1133 |Str| |Sym| |Int| |Flt| |Expr|)
((|constructor| (NIL "This category allows the manipulation of Lisp values while keeping the grunge fairly localized.")) (|#| (((|Integer|) $) "\\spad{\\#((a1,...,an))} returns \\spad{n}.")) (|cdr| (($ $) "\\spad{cdr((a1,...,an))} returns \\spad{(a2,...,an)}.")) (|car| (($ $) "\\spad{car((a1,...,an))} returns a1.")) (|expr| ((|#5| $) "\\spad{expr(s)} returns \\spad{s} as an element of Expr; Error: if \\spad{s} is not an atom that also belongs to Expr.")) (|float| ((|#4| $) "\\spad{float(s)} returns \\spad{s} as an element of \\spad{Flt}; Error: if \\spad{s} is not an atom that also belongs to \\spad{Flt}.")) (|integer| ((|#3| $) "\\spad{integer(s)} returns \\spad{s} as an element of Int. Error: if \\spad{s} is not an atom that also belongs to Int.")) (|symbol| ((|#2| $) "\\spad{symbol(s)} returns \\spad{s} as an element of \\spad{Sym}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Sym}.")) (|string| ((|#1| $) "\\spad{string(s)} returns \\spad{s} as an element of \\spad{Str}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Str}.")) (|destruct| (((|List| $) $) "\\spad{destruct((a1,...,an))} returns the list [a1,{}...,{}an].")) (|float?| (((|Boolean|) $) "\\spad{float?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Flt}.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(s)} is \\spad{true} if \\spad{s} is an atom and belong to Int.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Sym}.")) (|string?| (((|Boolean|) $) "\\spad{string?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Str}.")) (|list?| (((|Boolean|) $) "\\spad{list?(s)} is \\spad{true} if \\spad{s} is a Lisp list,{} possibly ().")) (|pair?| (((|Boolean|) $) "\\spad{pair?(s)} is \\spad{true} if \\spad{s} has is a non-null Lisp list.")) (|atom?| (((|Boolean|) $) "\\spad{atom?(s)} is \\spad{true} if \\spad{s} is a Lisp atom.")) (|null?| (((|Boolean|) $) "\\spad{null?(s)} is \\spad{true} if \\spad{s} is the \\spad{S}-expression ().")) (|eq| (((|Boolean|) $ $) "\\spad{eq(s, t)} is \\spad{true} if \\%peq(\\spad{s},{}\\spad{t}) is \\spad{true} for pointers.")))
NIL
@@ -4503,7 +4503,7 @@ NIL
(-1143 |dimtot| |dim1| S)
((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered as if they were split into two blocks. The dim1 parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}.")))
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(-577))))) (-12 (|HasCategory| |#3| (QUOTE (-747))) (|HasCategory| |#3| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-814))) (|HasCategory| |#3| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-870))) (|HasCategory| |#3| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-1079))) (|HasCategory| |#3| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (LIST (QUOTE -1068) (QUOTE (-577)))))) (|HasCategory| (-577) (QUOTE (-870))) (-12 (|HasCategory| |#3| (QUOTE (-1079))) (|HasCategory| |#3| (LIST (QUOTE -659) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1079)))) (-12 (|HasCategory| |#3| (QUOTE (-1079))) (|HasCategory| |#3| (LIST (QUOTE -928) (QUOTE (-1206))))) (-2816 (|HasCategory| |#3| (QUOTE (-1079))) (-12 (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (LIST (QUOTE -1068) (QUOTE (-577)))))) (-12 (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (LIST (QUOTE -1068) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#3| (QUOTE (-1130)))) (|HasAttribute| |#3| (QUOTE -4496)) (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (QUOTE (-1079)))) (-12 (|HasCategory| |#3| (QUOTE (-1079))) (|HasCategory| |#3| (LIST (QUOTE -926) (QUOTE (-1206))))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1130))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))))
(-1144 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 \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}")))
NIL
@@ -4512,7 +4512,7 @@ NIL
((|constructor| (NIL "This domain represents a signature AST. A signature AST \\indented{2}{is a description of an exported operation,{} \\spadignore{e.g.} its name,{} result} \\indented{2}{type,{} and the list of its argument types.}")) (|signature| (((|Signature|) $) "\\spad{signature(s)} returns AST of the declared signature for \\spad{`s'}.")) (|name| (((|Identifier|) $) "\\spad{name(s)} returns the name of the signature \\spad{`s'}.")) (|signatureAst| (($ (|Identifier|) (|Signature|)) "\\spad{signatureAst(n,s,t)} builds the signature AST \\spad{n:} \\spad{s} \\spad{->} \\spad{t}")))
NIL
NIL
-(-1146 R -2057)
+(-1146 R -2068)
((|constructor| (NIL "This package provides functions to determine the sign of an elementary function around a point or infinity.")) (|sign| (((|Union| (|Integer|) "failed") |#2| (|Symbol|) |#2| (|String|)) "\\spad{sign(f, x, a, s)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a} from below if \\spad{s} is \"left\",{} or above if \\spad{s} is \"right\".") (((|Union| (|Integer|) "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|)) "\\spad{sign(f, x, a)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a},{} from both sides if \\spad{a} is finite.") (((|Union| (|Integer|) "failed") |#2|) "\\spad{sign(f)} returns the sign of \\spad{f} if it is constant everywhere.")))
NIL
NIL
@@ -4551,16 +4551,16 @@ NIL
(-1155 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.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-6 -4497)) (-4494 . T) (-4493 . T) (-4496 . T))
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(-1156 |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 \\spad{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| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#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}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4494 . T) (-4493 . T) (-4496 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375))))
(-1157 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}")))
((-4500 . T) (-4499 . T))
NIL
-(-1158 UP -2057)
+(-1158 UP -2068)
((|constructor| (NIL "This package factors the formulas out of the general solve code,{} allowing their recursive use over different domains. Care is taken to introduce few radicals so that radical extension domains can more easily simplify the results.")) (|aQuartic| ((|#2| |#2| |#2| |#2| |#2| |#2|) "\\spad{aQuartic(f,g,h,i,k)} \\undocumented")) (|aCubic| ((|#2| |#2| |#2| |#2| |#2|) "\\spad{aCubic(f,g,h,j)} \\undocumented")) (|aQuadratic| ((|#2| |#2| |#2| |#2|) "\\spad{aQuadratic(f,g,h)} \\undocumented")) (|aLinear| ((|#2| |#2| |#2|) "\\spad{aLinear(f,g)} \\undocumented")) (|quartic| (((|List| |#2|) |#2| |#2| |#2| |#2| |#2|) "\\spad{quartic(f,g,h,i,j)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quartic(u)} \\undocumented")) (|cubic| (((|List| |#2|) |#2| |#2| |#2| |#2|) "\\spad{cubic(f,g,h,i)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{cubic(u)} \\undocumented")) (|quadratic| (((|List| |#2|) |#2| |#2| |#2|) "\\spad{quadratic(f,g,h)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quadratic(u)} \\undocumented")) (|linear| (((|List| |#2|) |#2| |#2|) "\\spad{linear(f,g)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{linear(u)} \\undocumented")) (|mapSolve| (((|Record| (|:| |solns| (|List| |#2|)) (|:| |maps| (|List| (|Record| (|:| |arg| |#2|) (|:| |res| |#2|))))) |#1| (|Mapping| |#2| |#2|)) "\\spad{mapSolve(u,f)} \\undocumented")) (|particularSolution| ((|#2| |#1|) "\\spad{particularSolution(u)} \\undocumented")) (|solve| (((|List| |#2|) |#1|) "\\spad{solve(u)} \\undocumented")))
NIL
NIL
@@ -4615,11 +4615,11 @@ NIL
(-1171 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,{}\\spad{ls},{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{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,{}\\spad{ls})} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{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|))) $) "\\axiom{result(a)} where \\axiom{\\spad{ls}} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$\\spad{VT} for \\spad{s} in \\spad{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},{}\\spad{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 \\spad{ls}]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{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 \\spad{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") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned.")))
((-4499 . T) (-4500 . T))
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(-1172 |ndim| R)
((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|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}.")))
((-4496 . T) (-4488 |has| |#2| (-6 (-4501 "*"))) (-4499 . T) (-4493 . T) (-4494 . T))
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(-1173 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{>=} \\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{>=} \\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\",{}\\spad{\"*\"})} 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}) \\spad{==} 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|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case.")))
NIL
@@ -4639,7 +4639,7 @@ NIL
(-1177 S)
((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|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}.")))
((-4499 . T) (-4500 . T))
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(-1178 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
@@ -4651,7 +4651,7 @@ NIL
(-1180 |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.")))
((-4500 . T))
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(-1181)
((|constructor| (NIL "This domain represents an arithmetic progression iterator syntax.")) (|step| (((|SpadAst|) $) "\\spad{step(i)} returns the Spad AST denoting the step of the arithmetic progression represented by the iterator \\spad{i}.")) (|upperBound| (((|Maybe| (|SpadAst|)) $) "If the set of values assumed by the iteration variable is bounded from above,{} \\spad{upperBound(i)} returns the upper bound. Otherwise,{} its returns \\spad{nothing}.")) (|lowerBound| (((|SpadAst|) $) "\\spad{lowerBound(i)} returns the lower bound on the values assumed by the iteration variable.")) (|iterationVar| (((|Identifier|) $) "\\spad{iterationVar(i)} returns the name of the iterating variable of the arithmetic progression iterator \\spad{i}.")))
NIL
@@ -4679,15 +4679,15 @@ NIL
(-1187 S)
((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|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.")))
((-4500 . T))
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(-1188)
((|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")))
((-4500 . T) (-4499 . T))
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+((-2816 (-12 (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-2816 (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -632) (QUOTE (-549)))) (-2816 (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130)))) (|HasCategory| (-145) (QUOTE (-870))) (-2816 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130)))) (|HasCategory| (-577) (QUOTE (-870))) (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1130))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))))
(-1189 |Entry|)
((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used.")))
((-4499 . T) (-4500 . T))
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(-1190 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 \\spad{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 \\spad{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
@@ -4718,9 +4718,9 @@ NIL
NIL
(-1197 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,x,3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series.")))
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+(-1198 R -2068)
((|constructor| (NIL "computes sums of top-level expressions.")) (|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n), n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n), n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n}).")))
NIL
NIL
@@ -4739,15 +4739,15 @@ 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.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,var)} converts the SparseUnivariatePolynomial \\spad{p} to an output form (see \\spadtype{OutputForm}) printed as a polynomial in the output form variable.")))
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(-1203 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")))
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(-1204 |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}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-792)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-792)) (|devaluate| |#1|)))) (|HasCategory| (-792) (QUOTE (-1142))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-792))))) (|HasSignature| |#1| (LIST (QUOTE -3709) (LIST (|devaluate| |#1|) (QUOTE (-1206)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-792))))) (|HasCategory| |#1| (QUOTE (-375))) (-2867 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-987))) (|HasCategory| |#1| (QUOTE (-1232))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -1869) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1206))))) (|HasSignature| |#1| (LIST (QUOTE -3891) (LIST (LIST (QUOTE -665) (QUOTE (-1206))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-792)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-792)) (|devaluate| |#1|)))) (|HasCategory| (-792) (QUOTE (-1142))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-792))))) (|HasSignature| |#1| (LIST (QUOTE -3630) (LIST (|devaluate| |#1|) (QUOTE (-1206)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-792))))) (|HasCategory| |#1| (QUOTE (-375))) (-2816 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-987))) (|HasCategory| |#1| (QUOTE (-1232))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -4311) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1206))))) (|HasSignature| |#1| (LIST (QUOTE -2104) (LIST (LIST (QUOTE -665) (QUOTE (-1206))) (|devaluate| |#1|)))))))
(-1205)
((|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
@@ -4763,7 +4763,7 @@ NIL
(-1208 R)
((|constructor| (NIL "This domain implements symmetric polynomial")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-6 -4497)) (-4493 . T) (-4494 . T) (-4496 . T))
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+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2816 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| (-1001) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasAttribute| |#1| (QUOTE -4497)))
(-1209)
((|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
@@ -4807,7 +4807,7 @@ NIL
(-1219 |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}")))
((-4499 . T) (-4500 . T))
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+((-12 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4375) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3988) (|devaluate| |#2|)))))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1130)))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -632) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1130))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-1130))) (|HasCategory| |#1| (QUOTE (-870))) (|HasCategory| |#2| (QUOTE (-1130))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885))))) (-2816 (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (QUOTE (-102))))
(-1220 S)
((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: April 17,{} 2010 Date Last Modified: April 17,{} 2010")) (|operator| (($ |#1| (|Arity|)) "\\spad{operator(n,a)} returns an operator named \\spad{n} and with arity \\spad{a}.")))
NIL
@@ -4863,7 +4863,7 @@ NIL
(-1233 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| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}.")))
((-4500 . T) (-4499 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2867 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2867 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1130))) (-2816 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1130)))) (-2816 (-12 (|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885))))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))) (|HasCategory| |#1| (QUOTE (-102))))
(-1234 S)
((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}.")))
NIL
@@ -4872,7 +4872,7 @@ NIL
((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}.")))
NIL
NIL
-(-1236 R -2057)
+(-1236 R -2068)
((|constructor| (NIL "\\spadtype{TrigonometricManipulations} provides transformations from trigonometric functions to complex exponentials and logarithms,{} and back.")) (|complexForm| (((|Complex| |#2|) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| ((|#2| |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| ((|#2| |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels.")))
NIL
NIL
@@ -4880,7 +4880,7 @@ NIL
((|constructor| (NIL "This package provides functions that compute \"fraction-free\" inverses of upper and lower triangular matrices over a integral domain. By \"fraction-free inverses\" we mean the following: given a matrix \\spad{B} with entries in \\spad{R} and an element \\spad{d} of \\spad{R} such that \\spad{d} * inv(\\spad{B}) also has entries in \\spad{R},{} we return \\spad{d} * inv(\\spad{B}). Thus,{} it is not necessary to pass to the quotient field in any of our computations.")) (|LowTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{LowTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular lower triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}.")) (|UpTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{UpTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular upper triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}.")))
NIL
NIL
-(-1238 R -2057)
+(-1238 R -2068)
((|constructor| (NIL "TranscendentalManipulations provides functions to simplify and expand expressions involving transcendental operators.")) (|expandTrigProducts| ((|#2| |#2|) "\\spad{expandTrigProducts(e)} replaces \\axiom{sin(\\spad{x})*sin(\\spad{y})} by \\spad{(cos(x-y)-cos(x+y))/2},{} \\axiom{cos(\\spad{x})*cos(\\spad{y})} by \\spad{(cos(x-y)+cos(x+y))/2},{} and \\axiom{sin(\\spad{x})*cos(\\spad{y})} by \\spad{(sin(x-y)+sin(x+y))/2}. Note that this operation uses the pattern matcher and so is relatively expensive. To avoid getting into an infinite loop the transformations are applied at most ten times.")) (|removeSinhSq| ((|#2| |#2|) "\\spad{removeSinhSq(f)} converts every \\spad{sinh(u)**2} appearing in \\spad{f} into \\spad{1 - cosh(x)**2},{} and also reduces higher powers of \\spad{sinh(u)} with that formula.")) (|removeCoshSq| ((|#2| |#2|) "\\spad{removeCoshSq(f)} converts every \\spad{cosh(u)**2} appearing in \\spad{f} into \\spad{1 - sinh(x)**2},{} and also reduces higher powers of \\spad{cosh(u)} with that formula.")) (|removeSinSq| ((|#2| |#2|) "\\spad{removeSinSq(f)} converts every \\spad{sin(u)**2} appearing in \\spad{f} into \\spad{1 - cos(x)**2},{} and also reduces higher powers of \\spad{sin(u)} with that formula.")) (|removeCosSq| ((|#2| |#2|) "\\spad{removeCosSq(f)} converts every \\spad{cos(u)**2} appearing in \\spad{f} into \\spad{1 - sin(x)**2},{} and also reduces higher powers of \\spad{cos(u)} with that formula.")) (|coth2tanh| ((|#2| |#2|) "\\spad{coth2tanh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{1/tanh(u)}.")) (|cot2tan| ((|#2| |#2|) "\\spad{cot2tan(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{1/tan(u)}.")) (|tanh2coth| ((|#2| |#2|) "\\spad{tanh2coth(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{1/coth(u)}.")) (|tan2cot| ((|#2| |#2|) "\\spad{tan2cot(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{1/cot(u)}.")) (|tanh2trigh| ((|#2| |#2|) "\\spad{tanh2trigh(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{sinh(u)/cosh(u)}.")) (|tan2trig| ((|#2| |#2|) "\\spad{tan2trig(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{sin(u)/cos(u)}.")) (|sinh2csch| ((|#2| |#2|) "\\spad{sinh2csch(f)} converts every \\spad{sinh(u)} appearing in \\spad{f} into \\spad{1/csch(u)}.")) (|sin2csc| ((|#2| |#2|) "\\spad{sin2csc(f)} converts every \\spad{sin(u)} appearing in \\spad{f} into \\spad{1/csc(u)}.")) (|sech2cosh| ((|#2| |#2|) "\\spad{sech2cosh(f)} converts every \\spad{sech(u)} appearing in \\spad{f} into \\spad{1/cosh(u)}.")) (|sec2cos| ((|#2| |#2|) "\\spad{sec2cos(f)} converts every \\spad{sec(u)} appearing in \\spad{f} into \\spad{1/cos(u)}.")) (|csch2sinh| ((|#2| |#2|) "\\spad{csch2sinh(f)} converts every \\spad{csch(u)} appearing in \\spad{f} into \\spad{1/sinh(u)}.")) (|csc2sin| ((|#2| |#2|) "\\spad{csc2sin(f)} converts every \\spad{csc(u)} appearing in \\spad{f} into \\spad{1/sin(u)}.")) (|coth2trigh| ((|#2| |#2|) "\\spad{coth2trigh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{cosh(u)/sinh(u)}.")) (|cot2trig| ((|#2| |#2|) "\\spad{cot2trig(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{cos(u)/sin(u)}.")) (|cosh2sech| ((|#2| |#2|) "\\spad{cosh2sech(f)} converts every \\spad{cosh(u)} appearing in \\spad{f} into \\spad{1/sech(u)}.")) (|cos2sec| ((|#2| |#2|) "\\spad{cos2sec(f)} converts every \\spad{cos(u)} appearing in \\spad{f} into \\spad{1/sec(u)}.")) (|expandLog| ((|#2| |#2|) "\\spad{expandLog(f)} converts every \\spad{log(a/b)} appearing in \\spad{f} into \\spad{log(a) - log(b)},{} and every \\spad{log(a*b)} into \\spad{log(a) + log(b)}..")) (|expandPower| ((|#2| |#2|) "\\spad{expandPower(f)} converts every power \\spad{(a/b)**c} appearing in \\spad{f} into \\spad{a**c * b**(-c)}.")) (|simplifyLog| ((|#2| |#2|) "\\spad{simplifyLog(f)} converts every \\spad{log(a) - log(b)} appearing in \\spad{f} into \\spad{log(a/b)},{} every \\spad{log(a) + log(b)} into \\spad{log(a*b)} and every \\spad{n*log(a)} into \\spad{log(a^n)}.")) (|simplifyExp| ((|#2| |#2|) "\\spad{simplifyExp(f)} converts every product \\spad{exp(a)*exp(b)} appearing in \\spad{f} into \\spad{exp(a+b)}.")) (|htrigs| ((|#2| |#2|) "\\spad{htrigs(f)} converts all the exponentials in \\spad{f} into hyperbolic sines and cosines.")) (|simplify| ((|#2| |#2|) "\\spad{simplify(f)} performs the following simplifications on \\spad{f:}\\begin{items} \\item 1. rewrites trigs and hyperbolic trigs in terms of \\spad{sin} ,{}\\spad{cos},{} \\spad{sinh},{} \\spad{cosh}. \\item 2. rewrites \\spad{sin**2} and \\spad{sinh**2} in terms of \\spad{cos} and \\spad{cosh},{} \\item 3. rewrites \\spad{exp(a)*exp(b)} as \\spad{exp(a+b)}. \\item 4. rewrites \\spad{(a**(1/n))**m * (a**(1/s))**t} as a single power of a single radical of \\spad{a}. \\end{items}")) (|expand| ((|#2| |#2|) "\\spad{expand(f)} performs the following expansions on \\spad{f:}\\begin{items} \\item 1. logs of products are expanded into sums of logs,{} \\item 2. trigonometric and hyperbolic trigonometric functions of sums are expanded into sums of products of trigonometric and hyperbolic trigonometric functions. \\item 3. formal powers of the form \\spad{(a/b)**c} are expanded into \\spad{a**c * b**(-c)}. \\end{items}")))
NIL
((-12 (|HasCategory| |#1| (LIST (QUOTE -632) (LIST (QUOTE -916) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -910) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -632) (LIST (QUOTE -916) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -910) (|devaluate| |#1|)))))
@@ -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}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4494 . T) (-4493 . T) (-4496 . T))
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+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375))))
(-1242 |Curve|)
((|constructor| (NIL "\\indented{2}{Package for constructing tubes around 3-dimensional parametric curves.} Domain of tubes around 3-dimensional parametric curves.")) (|tube| (($ |#1| (|List| (|List| (|Point| (|DoubleFloat|)))) (|Boolean|)) "\\spad{tube(c,ll,b)} creates a tube of the domain \\spadtype{TubePlot} from a space curve \\spad{c} of the category \\spadtype{PlottableSpaceCurveCategory},{} a list of lists of points (loops) \\spad{ll} and a boolean \\spad{b} which if \\spad{true} indicates a closed tube,{} or if \\spad{false} an open tube.")) (|setClosed| (((|Boolean|) $ (|Boolean|)) "\\spad{setClosed(t,b)} declares the given tube plot \\spad{t} to be closed if \\spad{b} is \\spad{true},{} or if \\spad{b} is \\spad{false},{} \\spad{t} is set to be open.")) (|open?| (((|Boolean|) $) "\\spad{open?(t)} tests whether the given tube plot \\spad{t} is open.")) (|closed?| (((|Boolean|) $) "\\spad{closed?(t)} tests whether the given tube plot \\spad{t} is closed.")) (|listLoops| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listLoops(t)} returns the list of lists of points,{} or the 'loops',{} of the given tube plot \\spad{t}.")) (|getCurve| ((|#1| $) "\\spad{getCurve(t)} returns the \\spadtype{PlottableSpaceCurveCategory} representing the parametric curve of the given tube plot \\spad{t}.")))
NIL
@@ -4908,7 +4908,7 @@ NIL
((|constructor| (NIL "\\indented{1}{This domain is used to interface with the interpreter\\spad{'s} notion} of comma-delimited sequences of values.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(x)} returns the number of elements in tuple \\spad{x}")) (|select| ((|#1| $ (|NonNegativeInteger|)) "\\spad{select(x,n)} returns the \\spad{n}-th element of tuple \\spad{x}. tuples are 0-based")))
NIL
((|HasCategory| |#1| (QUOTE (-1130))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-885)))))
-(-1245 -2057)
+(-1245 -2068)
((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")))
NIL
NIL
@@ -4971,11 +4971,11 @@ NIL
(-1260 |Coef| UTS)
((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-375)) (-4491 |has| |#1| (-375)) (-4493 . T) (-4494 . T) (-4496 . T))
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((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariateLaurentSeries(Integer,x,3)} represents Laurent series in} \\indented{2}{\\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series.")))
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(LIST (LIST (QUOTE -665) (QUOTE (-1206))) (|devaluate| |#1|)))))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-937))) (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-146))) (-2816 (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-937))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-569)))) (-2816 (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-2816 (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-937))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-174)))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (LIST (QUOTE -928) (QUOTE (-1206)))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-870))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-937))) (|HasCategory| |#1| (QUOTE (-375)))) (-2816 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-937))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| (-1289 |#1| |#2| |#3|) (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-146)))))
(-1262 ZP)
((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}")))
NIL
@@ -5011,7 +5011,7 @@ NIL
(-1270 |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}")))
(((-4501 "*") |has| |#2| (-174)) (-4492 |has| |#2| (-569)) (-4495 |has| |#2| (-375)) (-4497 |has| |#2| (-6 -4497)) (-4494 . T) (-4493 . T) (-4496 . T))
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(-1271 R PR S PS)
((|constructor| (NIL "Mapping from polynomials over \\spad{R} to polynomials over \\spad{S} given a map from \\spad{R} to \\spad{S} assumed to send zero to zero.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note: since the map is not applied to zero elements,{} it may map zero to zero.")))
NIL
@@ -5027,7 +5027,7 @@ NIL
(-1274 S |Coef| |Expon|)
((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|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 -926) (QUOTE (-1206)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1142))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -3709) (LIST (|devaluate| |#2|) (QUOTE (-1206))))))
+((|HasCategory| |#2| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1142))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -3630) (LIST (|devaluate| |#2|) (QUOTE (-1206))))))
(-1275 |Coef| |Expon|)
((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4493 . T) (-4494 . T) (-4496 . T))
@@ -5055,15 +5055,15 @@ NIL
(-1281 |Coef| ULS)
((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-375)) (-4491 |has| |#1| (-375)) (-4493 . T) (-4494 . T) (-4496 . T))
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(-1282 |Coef| |var| |cen|)
((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|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.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4497 |has| |#1| (-375)) (-4491 |has| |#1| (-375)) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|)))) (|HasCategory| (-420 (-577)) (QUOTE (-1142))) (|HasCategory| |#1| (QUOTE (-375))) (-2867 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-2867 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasSignature| |#1| (LIST (QUOTE -3709) (LIST (|devaluate| |#1|) (QUOTE (-1206)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (-2867 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-987))) (|HasCategory| |#1| (QUOTE (-1232))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -1869) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1206))))) (|HasSignature| |#1| (LIST (QUOTE -3891) (LIST (LIST (QUOTE -665) (QUOTE (-1206))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -926) (QUOTE (-1206)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|)))) (|HasCategory| (-420 (-577)) (QUOTE (-1142))) (|HasCategory| |#1| (QUOTE (-375))) (-2816 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-2816 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasSignature| |#1| (LIST (QUOTE -3630) (LIST (|devaluate| |#1|) (QUOTE (-1206)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (-2816 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-987))) (|HasCategory| |#1| (QUOTE (-1232))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -4311) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1206))))) (|HasSignature| |#1| (LIST (QUOTE -2104) (LIST (LIST (QUOTE -665) (QUOTE (-1206))) (|devaluate| |#1|)))))))
(-1283 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))}.")))
(((-4501 "*") |has| (-1282 |#2| |#3| |#4|) (-174)) (-4492 |has| (-1282 |#2| |#3| |#4|) (-569)) (-4493 . T) (-4494 . T) (-4496 . T))
-((|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-174))) (-2867 (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-375))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-465))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-569))))
+((|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-174))) (-2816 (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -1068) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1282 |#2| |#3| |#4|) (LIST (QUOTE -1068) (QUOTE (-577)))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-375))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-465))) (|HasCategory| (-1282 |#2| |#3| |#4|) (QUOTE (-569))))
(-1284 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{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,\"rest\",v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\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{:=} \\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} \\spad{>=} 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} \\spad{>=} 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} \\spad{>=} 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| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}.")))
NIL
@@ -5079,7 +5079,7 @@ NIL
(-1287 S |Coef|)
((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-577)))) (|HasCategory| |#2| (QUOTE (-987))) (|HasCategory| |#2| (QUOTE (-1232))) (|HasSignature| |#2| (LIST (QUOTE -3891) (LIST (LIST (QUOTE -665) (QUOTE (-1206))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1869) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1206))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375))))
+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-987))) (|HasCategory| |#2| (QUOTE (-1232))) (|HasSignature| |#2| (LIST (QUOTE -2104) (LIST (LIST (QUOTE -665) (QUOTE (-1206))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4311) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1206))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375))))
(-1288 |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.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4493 . T) (-4494 . T) (-4496 . T))
@@ -5087,12 +5087,12 @@ NIL
(-1289 |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}.")))
(((-4501 "*") |has| |#1| (-174)) (-4492 |has| |#1| (-569)) (-4493 . T) (-4494 . T) (-4496 . T))
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(-1290 |Coef| UTS)
((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,y[1],y[2],...,y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,cl)} is the solution to \\spad{y<n>=f(y,y',..,y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,c0,c1)} is the solution to \\spad{y'' = f(y,y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")))
NIL
NIL
-(-1291 -2057 UP L UTS)
+(-1291 -2068 UP L UTS)
((|constructor| (NIL "\\spad{RUTSodetools} provides tools to interface with the series \\indented{1}{ODE solver when presented with linear ODEs.}")) (RF2UTS ((|#4| (|Fraction| |#2|)) "\\spad{RF2UTS(f)} converts \\spad{f} to a Taylor series.")) (LODO2FUN (((|Mapping| |#4| (|List| |#4|)) |#3|) "\\spad{LODO2FUN(op)} returns the function to pass to the series ODE solver in order to solve \\spad{op y = 0}.")) (UTS2UP ((|#2| |#4| (|NonNegativeInteger|)) "\\spad{UTS2UP(s, n)} converts the first \\spad{n} terms of \\spad{s} to a univariate polynomial.")) (UP2UTS ((|#4| |#2|) "\\spad{UP2UTS(p)} converts \\spad{p} to a Taylor series.")))
NIL
((|HasCategory| |#1| (QUOTE (-569))))
@@ -5119,7 +5119,7 @@ NIL
(-1297 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.")))
((-4500 . T) (-4499 . T))
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(-1298)
((|constructor| (NIL "TwoDimensionalViewport creates viewports to display graphs.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(v)} returns the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport} as output of the domain \\spadtype{OutputForm}.")) (|key| (((|Integer|) $) "\\spad{key(v)} returns the process ID number of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|reset| (((|Void|) $) "\\spad{reset(v)} sets the current state of the graph characteristics of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} back to their initial settings.")) (|write| (((|String|) $ (|String|) (|List| (|String|))) "\\spad{write(v,s,lf)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and the optional file types indicated by the list \\spad{lf}.") (((|String|) $ (|String|) (|String|)) "\\spad{write(v,s,f)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and an optional file type \\spad{f}.") (((|String|) $ (|String|)) "\\spad{write(v,s)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v}.")) (|resize| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{resize(v,w,h)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with a width of \\spad{w} and a height of \\spad{h},{} keeping the upper left-hand corner position unchanged.")) (|update| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{update(v,gr,n)} drops the graph \\spad{gr} in slot \\spad{n} of viewport \\spad{v}. The graph \\spad{gr} must have been transmitted already and acquired an integer key.")) (|move| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{move(v,x,y)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the upper left-hand corner of the viewport window at the screen coordinate position \\spad{x},{} \\spad{y}.")) (|show| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{show(v,n,s)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the graph if \\spad{s} is \"off\".")) (|translate| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{translate(v,n,dx,dy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} translated by \\spad{dx} in the \\spad{x}-coordinate direction from the center of the viewport,{} and by \\spad{dy} in the \\spad{y}-coordinate direction from the center. Setting \\spad{dx} and \\spad{dy} to \\spad{0} places the center of the graph at the center of the viewport.")) (|scale| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{scale(v,n,sx,sy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} scaled by the factor \\spad{sx} in the \\spad{x}-coordinate direction and by the factor \\spad{sy} in the \\spad{y}-coordinate direction.")) (|dimensions| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{dimensions(v,x,y,width,height)} sets the position of the upper left-hand corner of the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to the window coordinate \\spad{x},{} \\spad{y},{} and sets the dimensions of the window to that of \\spad{width},{} \\spad{height}. The new dimensions are not displayed until the function \\spadfun{makeViewport2D} is executed again for \\spad{v}.")) (|close| (((|Void|) $) "\\spad{close(v)} closes the viewport window of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and terminates the corresponding process ID.")) (|controlPanel| (((|Void|) $ (|String|)) "\\spad{controlPanel(v,s)} displays the control panel of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or hides the control panel if \\spad{s} is \"off\".")) (|connect| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{connect(v,n,s)} displays the lines connecting the graph points in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the lines if \\spad{s} is \"off\".")) (|region| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{region(v,n,s)} displays the bounding box of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the bounding box if \\spad{s} is \"off\".")) (|points| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{points(v,n,s)} displays the points of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the points if \\spad{s} is \"off\".")) (|units| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{units(v,n,c)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the units color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{units(v,n,s)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the units if \\spad{s} is \"off\".")) (|axes| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{axes(v,n,c)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the axes color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{axes(v,n,s)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the axes if \\spad{s} is \"off\".")) (|getGraph| (((|GraphImage|) $ (|PositiveInteger|)) "\\spad{getGraph(v,n)} returns the graph which is of the domain \\spadtype{GraphImage} which is located in graph field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of the domain \\spadtype{TwoDimensionalViewport}.")) (|putGraph| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{putGraph(v,gi,n)} sets the graph field indicated by \\spad{n},{} of the indicated two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to be the graph,{} \\spad{gi} of domain \\spadtype{GraphImage}. The contents of viewport,{} \\spad{v},{} will contain \\spad{gi} when the function \\spadfun{makeViewport2D} is called to create the an updated viewport \\spad{v}.")) (|title| (((|Void|) $ (|String|)) "\\spad{title(v,s)} changes the title which is shown in the two-dimensional viewport window,{} \\spad{v} of domain \\spadtype{TwoDimensionalViewport}.")) (|graphs| (((|Vector| (|Union| (|GraphImage|) "undefined")) $) "\\spad{graphs(v)} returns a vector,{} or list,{} which is a union of all the graphs,{} of the domain \\spadtype{GraphImage},{} which are allocated for the two-dimensional viewport,{} \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport}. Those graphs which have no data are labeled \"undefined\",{} otherwise their contents are shown.")) (|graphStates| (((|Vector| (|Record| (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)) (|:| |points| (|Integer|)) (|:| |connect| (|Integer|)) (|:| |spline| (|Integer|)) (|:| |axes| (|Integer|)) (|:| |axesColor| (|Palette|)) (|:| |units| (|Integer|)) (|:| |unitsColor| (|Palette|)) (|:| |showing| (|Integer|)))) $) "\\spad{graphStates(v)} returns and shows a listing of a record containing the current state of the characteristics of each of the ten graph records in the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|graphState| (((|Void|) $ (|PositiveInteger|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Palette|) (|Integer|) (|Palette|) (|Integer|)) "\\spad{graphState(v,num,sX,sY,dX,dY,pts,lns,box,axes,axesC,un,unC,cP)} sets the state of the characteristics for the graph indicated by \\spad{num} in the given two-dimensional viewport \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport},{} to the values given as parameters. The scaling of the graph in the \\spad{x} and \\spad{y} component directions is set to be \\spad{sX} and \\spad{sY}; the window translation in the \\spad{x} and \\spad{y} component directions is set to be \\spad{dX} and \\spad{dY}; The graph points,{} lines,{} bounding \\spad{box},{} \\spad{axes},{} or units will be shown in the viewport if their given parameters \\spad{pts},{} \\spad{lns},{} \\spad{box},{} \\spad{axes} or \\spad{un} are set to be \\spad{1},{} but will not be shown if they are set to \\spad{0}. The color of the \\spad{axes} and the color of the units are indicated by the palette colors \\spad{axesC} and \\spad{unC} respectively. To display the control panel when the viewport window is displayed,{} set \\spad{cP} to \\spad{1},{} otherwise set it to \\spad{0}.")) (|options| (($ $ (|List| (|DrawOption|))) "\\spad{options(v,lopt)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns \\spad{v} with it\\spad{'s} draw options modified to be those which are indicated in the given list,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (((|List| (|DrawOption|)) $) "\\spad{options(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns a list containing the draw options from the domain \\spadtype{DrawOption} for \\spad{v}.")) (|makeViewport2D| (($ (|GraphImage|) (|List| (|DrawOption|))) "\\spad{makeViewport2D(gi,lopt)} creates and displays a viewport window of the domain \\spadtype{TwoDimensionalViewport} whose graph field is assigned to be the given graph,{} \\spad{gi},{} of domain \\spadtype{GraphImage},{} and whose options field is set to be the list of options,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (($ $) "\\spad{makeViewport2D(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and displays a viewport window on the screen which contains the contents of \\spad{v}.")) (|viewport2D| (($) "\\spad{viewport2D()} returns an undefined two-dimensional viewport of the domain \\spadtype{TwoDimensionalViewport} whose contents are empty.")) (|getPickedPoints| (((|List| (|Point| (|DoubleFloat|))) $) "\\spad{getPickedPoints(x)} returns a list of small floats for the points the user interactively picked on the viewport for full integration into the system,{} some design issues need to be addressed: \\spadignore{e.g.} how to go through the GraphImage interface,{} how to default to graphs,{} etc.")))
NIL
@@ -5152,7 +5152,7 @@ NIL
((|constructor| (NIL "This package implements the Weierstrass preparation theorem \\spad{f} or multivariate power series. weierstrass(\\spad{v},{}\\spad{p}) where \\spad{v} is a variable,{} and \\spad{p} is a TaylorSeries(\\spad{R}) in which the terms of lowest degree \\spad{s} must include c*v**s where \\spad{c} is a constant,{}\\spad{s>0},{} is a list of TaylorSeries coefficients A[\\spad{i}] of the equivalent polynomial A = A[0] + A[1]\\spad{*v} + A[2]*v**2 + ... + A[\\spad{s}-1]*v**(\\spad{s}-1) + v**s such that p=A*B ,{} \\spad{B} being a TaylorSeries of minimum degree 0")) (|qqq| (((|Mapping| (|Stream| (|TaylorSeries| |#1|)) (|Stream| (|TaylorSeries| |#1|))) (|NonNegativeInteger|) (|TaylorSeries| |#1|) (|Stream| (|TaylorSeries| |#1|))) "\\spad{qqq(n,s,st)} is used internally.")) (|weierstrass| (((|List| (|TaylorSeries| |#1|)) (|Symbol|) (|TaylorSeries| |#1|)) "\\spad{weierstrass(v,ts)} where \\spad{v} is a variable and \\spad{ts} is \\indented{1}{a TaylorSeries,{} impements the Weierstrass Preparation} \\indented{1}{Theorem. The result is a list of TaylorSeries that} \\indented{1}{are the coefficients of the equivalent series.}")) (|clikeUniv| (((|Mapping| (|SparseUnivariatePolynomial| (|Polynomial| |#1|)) (|Polynomial| |#1|)) (|Symbol|)) "\\spad{clikeUniv(v)} is used internally.")) (|sts2stst| (((|Stream| (|Stream| (|Polynomial| |#1|))) (|Symbol|) (|Stream| (|Polynomial| |#1|))) "\\spad{sts2stst(v,s)} is used internally.")) (|cfirst| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{cfirst n} is used internally.")) (|crest| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{crest n} is used internally.")))
NIL
NIL
-(-1306 K R UP -2057)
+(-1306 K R UP -2068)
((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a framed algebra over \\spad{R}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")))
NIL
NIL
@@ -5188,11 +5188,11 @@ NIL
((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero.")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}.")))
((-4492 |has| |#2| (-6 -4492)) (-4494 . T) (-4493 . T) (-4496 . T))
NIL
-(-1315 S -2057)
+(-1315 S -2068)
((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}.")))
NIL
((|HasCategory| |#2| (QUOTE (-380))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))))
-(-1316 -2057)
+(-1316 -2068)
((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}.")))
((-4491 . T) (-4497 . T) (-4492 . T) ((-4501 "*") . T) (-4493 . T) (-4494 . T) (-4496 . T))
NIL
@@ -5252,4 +5252,4 @@ NIL
NIL
NIL
NIL
-((-3 NIL 2296396 2296401 2296406 2296411) (-2 NIL 2296376 2296381 2296386 2296391) (-1 NIL 2296356 2296361 2296366 2296371) (0 NIL 2296336 2296341 2296346 2296351) (-1326 "ZMOD.spad" 2296145 2296158 2296274 2296331) (-1325 "ZLINDEP.spad" 2295211 2295222 2296135 2296140) (-1324 "ZDSOLVE.spad" 2285156 2285178 2295201 2295206) (-1323 "YSTREAM.spad" 2284651 2284662 2285146 2285151) (-1322 "YDIAGRAM.spad" 2284285 2284294 2284641 2284646) (-1321 "XRPOLY.spad" 2283505 2283525 2284141 2284210) (-1320 "XPR.spad" 2281300 2281313 2283223 2283322) (-1319 "XPOLY.spad" 2280855 2280866 2281156 2281225) (-1318 "XPOLYC.spad" 2280174 2280190 2280781 2280850) (-1317 "XPBWPOLY.spad" 2278611 2278631 2279954 2280023) (-1316 "XF.spad" 2277074 2277089 2278513 2278606) (-1315 "XF.spad" 2275517 2275534 2276958 2276963) (-1314 "XFALG.spad" 2272565 2272581 2275443 2275512) (-1313 "XEXPPKG.spad" 2271816 2271842 2272555 2272560) (-1312 "XDPOLY.spad" 2271430 2271446 2271672 2271741) (-1311 "XALG.spad" 2271090 2271101 2271386 2271425) (-1310 "WUTSET.spad" 2266893 2266910 2270700 2270727) (-1309 "WP.spad" 2266092 2266136 2266751 2266818) (-1308 "WHILEAST.spad" 2265890 2265899 2266082 2266087) (-1307 "WHEREAST.spad" 2265561 2265570 2265880 2265885) (-1306 "WFFINTBS.spad" 2263224 2263246 2265551 2265556) (-1305 "WEIER.spad" 2261446 2261457 2263214 2263219) (-1304 "VSPACE.spad" 2261119 2261130 2261414 2261441) (-1303 "VSPACE.spad" 2260812 2260825 2261109 2261114) (-1302 "VOID.spad" 2260489 2260498 2260802 2260807) (-1301 "VIEW.spad" 2258169 2258178 2260479 2260484) (-1300 "VIEWDEF.spad" 2253370 2253379 2258159 2258164) (-1299 "VIEW3D.spad" 2237331 2237340 2253360 2253365) (-1298 "VIEW2D.spad" 2225222 2225231 2237321 2237326) (-1297 "VECTOR.spad" 2223743 2223754 2223994 2224021) (-1296 "VECTOR2.spad" 2222382 2222395 2223733 2223738) (-1295 "VECTCAT.spad" 2220286 2220297 2222350 2222377) (-1294 "VECTCAT.spad" 2217997 2218010 2220063 2220068) (-1293 "VARIABLE.spad" 2217777 2217792 2217987 2217992) (-1292 "UTYPE.spad" 2217421 2217430 2217767 2217772) (-1291 "UTSODETL.spad" 2216716 2216740 2217377 2217382) (-1290 "UTSODE.spad" 2214932 2214952 2216706 2216711) (-1289 "UTS.spad" 2209879 2209907 2213399 2213496) (-1288 "UTSCAT.spad" 2207358 2207374 2209777 2209874) (-1287 "UTSCAT.spad" 2204481 2204499 2206902 2206907) (-1286 "UTS2.spad" 2204076 2204111 2204471 2204476) (-1285 "URAGG.spad" 2198749 2198760 2204066 2204071) (-1284 "URAGG.spad" 2193386 2193399 2198705 2198710) (-1283 "UPXSSING.spad" 2191031 2191057 2192467 2192600) (-1282 "UPXS.spad" 2188327 2188355 2189163 2189312) (-1281 "UPXSCONS.spad" 2186086 2186106 2186459 2186608) (-1280 "UPXSCCA.spad" 2184657 2184677 2185932 2186081) (-1279 "UPXSCCA.spad" 2183370 2183392 2184647 2184652) (-1278 "UPXSCAT.spad" 2181959 2181975 2183216 2183365) (-1277 "UPXS2.spad" 2181502 2181555 2181949 2181954) (-1276 "UPSQFREE.spad" 2179916 2179930 2181492 2181497) (-1275 "UPSCAT.spad" 2177703 2177727 2179814 2179911) (-1274 "UPSCAT.spad" 2175196 2175222 2177309 2177314) (-1273 "UPOLYC.spad" 2170236 2170247 2175038 2175191) (-1272 "UPOLYC.spad" 2165168 2165181 2169972 2169977) (-1271 "UPOLYC2.spad" 2164639 2164658 2165158 2165163) (-1270 "UP.spad" 2161745 2161760 2162132 2162285) (-1269 "UPMP.spad" 2160645 2160658 2161735 2161740) (-1268 "UPDIVP.spad" 2160210 2160224 2160635 2160640) (-1267 "UPDECOMP.spad" 2158455 2158469 2160200 2160205) (-1266 "UPCDEN.spad" 2157664 2157680 2158445 2158450) (-1265 "UP2.spad" 2157028 2157049 2157654 2157659) (-1264 "UNISEG.spad" 2156381 2156392 2156947 2156952) (-1263 "UNISEG2.spad" 2155878 2155891 2156337 2156342) (-1262 "UNIFACT.spad" 2154981 2154993 2155868 2155873) (-1261 "ULS.spad" 2144765 2144793 2145710 2146139) (-1260 "ULSCONS.spad" 2135899 2135919 2136269 2136418) (-1259 "ULSCCAT.spad" 2133636 2133656 2135745 2135894) (-1258 "ULSCCAT.spad" 2131481 2131503 2133592 2133597) (-1257 "ULSCAT.spad" 2129713 2129729 2131327 2131476) (-1256 "ULS2.spad" 2129227 2129280 2129703 2129708) (-1255 "UINT8.spad" 2129104 2129113 2129217 2129222) (-1254 "UINT64.spad" 2128980 2128989 2129094 2129099) (-1253 "UINT32.spad" 2128856 2128865 2128970 2128975) (-1252 "UINT16.spad" 2128732 2128741 2128846 2128851) (-1251 "UFD.spad" 2127797 2127806 2128658 2128727) (-1250 "UFD.spad" 2126924 2126935 2127787 2127792) (-1249 "UDVO.spad" 2125805 2125814 2126914 2126919) (-1248 "UDPO.spad" 2123298 2123309 2125761 2125766) (-1247 "TYPE.spad" 2123230 2123239 2123288 2123293) (-1246 "TYPEAST.spad" 2123149 2123158 2123220 2123225) (-1245 "TWOFACT.spad" 2121801 2121816 2123139 2123144) (-1244 "TUPLE.spad" 2121287 2121298 2121700 2121705) (-1243 "TUBETOOL.spad" 2118154 2118163 2121277 2121282) (-1242 "TUBE.spad" 2116801 2116818 2118144 2118149) (-1241 "TS.spad" 2115400 2115416 2116366 2116463) (-1240 "TSETCAT.spad" 2102527 2102544 2115368 2115395) (-1239 "TSETCAT.spad" 2089640 2089659 2102483 2102488) (-1238 "TRMANIP.spad" 2084006 2084023 2089346 2089351) (-1237 "TRIMAT.spad" 2082969 2082994 2083996 2084001) (-1236 "TRIGMNIP.spad" 2081496 2081513 2082959 2082964) (-1235 "TRIGCAT.spad" 2081008 2081017 2081486 2081491) (-1234 "TRIGCAT.spad" 2080518 2080529 2080998 2081003) (-1233 "TREE.spad" 2078976 2078987 2080008 2080035) (-1232 "TRANFUN.spad" 2078815 2078824 2078966 2078971) (-1231 "TRANFUN.spad" 2078652 2078663 2078805 2078810) (-1230 "TOPSP.spad" 2078326 2078335 2078642 2078647) (-1229 "TOOLSIGN.spad" 2077989 2078000 2078316 2078321) (-1228 "TEXTFILE.spad" 2076550 2076559 2077979 2077984) (-1227 "TEX.spad" 2073696 2073705 2076540 2076545) (-1226 "TEX1.spad" 2073252 2073263 2073686 2073691) (-1225 "TEMUTL.spad" 2072807 2072816 2073242 2073247) (-1224 "TBCMPPK.spad" 2070900 2070923 2072797 2072802) (-1223 "TBAGG.spad" 2069950 2069973 2070880 2070895) (-1222 "TBAGG.spad" 2069008 2069033 2069940 2069945) (-1221 "TANEXP.spad" 2068416 2068427 2068998 2069003) (-1220 "TALGOP.spad" 2068140 2068151 2068406 2068411) (-1219 "TABLE.spad" 2066109 2066132 2066379 2066406) (-1218 "TABLEAU.spad" 2065590 2065601 2066099 2066104) (-1217 "TABLBUMP.spad" 2062393 2062404 2065580 2065585) (-1216 "SYSTEM.spad" 2061621 2061630 2062383 2062388) (-1215 "SYSSOLP.spad" 2059104 2059115 2061611 2061616) (-1214 "SYSPTR.spad" 2059003 2059012 2059094 2059099) (-1213 "SYSNNI.spad" 2058194 2058205 2058993 2058998) (-1212 "SYSINT.spad" 2057598 2057609 2058184 2058189) (-1211 "SYNTAX.spad" 2053804 2053813 2057588 2057593) (-1210 "SYMTAB.spad" 2051872 2051881 2053794 2053799) (-1209 "SYMS.spad" 2047895 2047904 2051862 2051867) (-1208 "SYMPOLY.spad" 2046901 2046912 2046983 2047110) (-1207 "SYMFUNC.spad" 2046402 2046413 2046891 2046896) (-1206 "SYMBOL.spad" 2043905 2043914 2046392 2046397) (-1205 "SWITCH.spad" 2040676 2040685 2043895 2043900) (-1204 "SUTS.spad" 2037724 2037752 2039143 2039240) (-1203 "SUPXS.spad" 2035007 2035035 2035856 2036005) (-1202 "SUP.spad" 2031727 2031738 2032500 2032653) (-1201 "SUPFRACF.spad" 2030832 2030850 2031717 2031722) (-1200 "SUP2.spad" 2030224 2030237 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"RFDIST.spad" 1739290 1739299 1740284 1740289) (-1069 "RETSOL.spad" 1738709 1738722 1739280 1739285) (-1068 "RETRACT.spad" 1738137 1738148 1738699 1738704) (-1067 "RETRACT.spad" 1737563 1737576 1738127 1738132) (-1066 "RETAST.spad" 1737375 1737384 1737553 1737558) (-1065 "RESULT.spad" 1734973 1734982 1735560 1735587) (-1064 "RESRING.spad" 1734320 1734367 1734911 1734968) (-1063 "RESLATC.spad" 1733644 1733655 1734310 1734315) (-1062 "REPSQ.spad" 1733375 1733386 1733634 1733639) (-1061 "REP.spad" 1730929 1730938 1733365 1733370) (-1060 "REPDB.spad" 1730636 1730647 1730919 1730924) (-1059 "REP2.spad" 1720294 1720305 1730478 1730483) (-1058 "REP1.spad" 1714490 1714501 1720244 1720249) (-1057 "REGSET.spad" 1712251 1712268 1714100 1714127) (-1056 "REF.spad" 1711586 1711597 1712206 1712211) (-1055 "REDORDER.spad" 1710792 1710809 1711576 1711581) (-1054 "RECLOS.spad" 1709575 1709595 1710279 1710372) (-1053 "REALSOLV.spad" 1708715 1708724 1709565 1709570) (-1052 "REAL.spad" 1708587 1708596 1708705 1708710) (-1051 "REAL0Q.spad" 1705885 1705900 1708577 1708582) (-1050 "REAL0.spad" 1702729 1702744 1705875 1705880) (-1049 "RDUCEAST.spad" 1702450 1702459 1702719 1702724) (-1048 "RDIV.spad" 1702105 1702130 1702440 1702445) (-1047 "RDIST.spad" 1701672 1701683 1702095 1702100) (-1046 "RDETRS.spad" 1700536 1700554 1701662 1701667) (-1045 "RDETR.spad" 1698675 1698693 1700526 1700531) (-1044 "RDEEFS.spad" 1697774 1697791 1698665 1698670) (-1043 "RDEEF.spad" 1696784 1696801 1697764 1697769) (-1042 "RCFIELD.spad" 1693970 1693979 1696686 1696779) (-1041 "RCFIELD.spad" 1691242 1691253 1693960 1693965) (-1040 "RCAGG.spad" 1689170 1689181 1691232 1691237) (-1039 "RCAGG.spad" 1687025 1687038 1689089 1689094) (-1038 "RATRET.spad" 1686385 1686396 1687015 1687020) (-1037 "RATFACT.spad" 1686077 1686089 1686375 1686380) (-1036 "RANDSRC.spad" 1685396 1685405 1686067 1686072) (-1035 "RADUTIL.spad" 1685152 1685161 1685386 1685391) (-1034 "RADIX.spad" 1681976 1681990 1683522 1683615) (-1033 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1653047 1655600 1655605) (-1014 "PUSHVAR.spad" 1652363 1652383 1653015 1653020) (-1013 "PTRANFN.spad" 1648490 1648501 1652353 1652358) (-1012 "PTPACK.spad" 1645577 1645588 1648480 1648485) (-1011 "PTFUNC2.spad" 1645399 1645414 1645567 1645572) (-1010 "PTCAT.spad" 1644653 1644664 1645367 1645394) (-1009 "PSQFR.spad" 1643959 1643984 1644643 1644648) (-1008 "PSEUDLIN.spad" 1642844 1642855 1643949 1643954) (-1007 "PSETPK.spad" 1628276 1628293 1642722 1642727) (-1006 "PSETCAT.spad" 1622195 1622219 1628256 1628271) (-1005 "PSETCAT.spad" 1616088 1616114 1622151 1622156) (-1004 "PSCURVE.spad" 1615070 1615079 1616078 1616083) (-1003 "PSCAT.spad" 1613852 1613882 1614968 1615065) (-1002 "PSCAT.spad" 1612724 1612756 1613842 1613847) (-1001 "PRTITION.spad" 1611421 1611430 1612714 1612719) (-1000 "PRTDAST.spad" 1611139 1611148 1611411 1611416) (-999 "PRS.spad" 1600701 1600718 1611095 1611100) (-998 "PRQAGG.spad" 1600136 1600146 1600669 1600696) (-997 "PROPLOG.spad" 1599708 1599716 1600126 1600131) (-996 "PROPFUN2.spad" 1599331 1599344 1599698 1599703) (-995 "PROPFUN1.spad" 1598729 1598740 1599321 1599326) (-994 "PROPFRML.spad" 1597297 1597308 1598719 1598724) (-993 "PROPERTY.spad" 1596785 1596793 1597287 1597292) (-992 "PRODUCT.spad" 1594467 1594479 1594751 1594806) (-991 "PR.spad" 1592859 1592871 1593558 1593685) (-990 "PRINT.spad" 1592611 1592619 1592849 1592854) (-989 "PRIMES.spad" 1590864 1590874 1592601 1592606) (-988 "PRIMELT.spad" 1588945 1588959 1590854 1590859) (-987 "PRIMCAT.spad" 1588572 1588580 1588935 1588940) (-986 "PRIMARR.spad" 1587424 1587434 1587602 1587629) (-985 "PRIMARR2.spad" 1586191 1586203 1587414 1587419) (-984 "PREASSOC.spad" 1585573 1585585 1586181 1586186) (-983 "PPCURVE.spad" 1584710 1584718 1585563 1585568) (-982 "PORTNUM.spad" 1584485 1584493 1584700 1584705) (-981 "POLYROOT.spad" 1583334 1583356 1584441 1584446) (-980 "POLY.spad" 1580669 1580679 1581184 1581311) (-979 "POLYLIFT.spad" 1579934 1579957 1580659 1580664) (-978 "POLYCATQ.spad" 1578052 1578074 1579924 1579929) (-977 "POLYCAT.spad" 1571522 1571543 1577920 1578047) (-976 "POLYCAT.spad" 1564330 1564353 1570730 1570735) (-975 "POLY2UP.spad" 1563782 1563796 1564320 1564325) (-974 "POLY2.spad" 1563379 1563391 1563772 1563777) (-973 "POLUTIL.spad" 1562320 1562349 1563335 1563340) (-972 "POLTOPOL.spad" 1561068 1561083 1562310 1562315) (-971 "POINT.spad" 1559753 1559763 1559840 1559867) (-970 "PNTHEORY.spad" 1556455 1556463 1559743 1559748) (-969 "PMTOOLS.spad" 1555230 1555244 1556445 1556450) (-968 "PMSYM.spad" 1554779 1554789 1555220 1555225) (-967 "PMQFCAT.spad" 1554370 1554384 1554769 1554774) (-966 "PMPRED.spad" 1553849 1553863 1554360 1554365) (-965 "PMPREDFS.spad" 1553303 1553325 1553839 1553844) (-964 "PMPLCAT.spad" 1552383 1552401 1553235 1553240) (-963 "PMLSAGG.spad" 1551968 1551982 1552373 1552378) (-962 "PMKERNEL.spad" 1551547 1551559 1551958 1551963) (-961 "PMINS.spad" 1551127 1551137 1551537 1551542) (-960 "PMFS.spad" 1550704 1550722 1551117 1551122) (-959 "PMDOWN.spad" 1549994 1550008 1550694 1550699) (-958 "PMASS.spad" 1549004 1549012 1549984 1549989) (-957 "PMASSFS.spad" 1547971 1547987 1548994 1548999) (-956 "PLOTTOOL.spad" 1547751 1547759 1547961 1547966) (-955 "PLOT.spad" 1542674 1542682 1547741 1547746) (-954 "PLOT3D.spad" 1539138 1539146 1542664 1542669) (-953 "PLOT1.spad" 1538295 1538305 1539128 1539133) (-952 "PLEQN.spad" 1525585 1525612 1538285 1538290) (-951 "PINTERP.spad" 1525207 1525226 1525575 1525580) (-950 "PINTERPA.spad" 1524991 1525007 1525197 1525202) (-949 "PI.spad" 1524600 1524608 1524965 1524986) (-948 "PID.spad" 1523570 1523578 1524526 1524595) (-947 "PICOERCE.spad" 1523227 1523237 1523560 1523565) (-946 "PGROEB.spad" 1521828 1521842 1523217 1523222) (-945 "PGE.spad" 1513445 1513453 1521818 1521823) (-944 "PGCD.spad" 1512335 1512352 1513435 1513440) (-943 "PFRPAC.spad" 1511484 1511494 1512325 1512330) (-942 "PFR.spad" 1508147 1508157 1511386 1511479) (-941 "PFOTOOLS.spad" 1507405 1507421 1508137 1508142) (-940 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"DROPT.spad" 361712 361720 367743 367748) (-270 "DROPT1.spad" 361377 361387 361702 361707) (-269 "DROPT0.spad" 356234 356242 361367 361372) (-268 "DRAWPT.spad" 354407 354415 356224 356229) (-267 "DRAW.spad" 347283 347296 354397 354402) (-266 "DRAWHACK.spad" 346591 346601 347273 347278) (-265 "DRAWCX.spad" 344061 344069 346581 346586) (-264 "DRAWCURV.spad" 343608 343623 344051 344056) (-263 "DRAWCFUN.spad" 333140 333148 343598 343603) (-262 "DQAGG.spad" 331318 331328 333108 333135) (-261 "DPOLCAT.spad" 326667 326683 331186 331313) (-260 "DPOLCAT.spad" 322102 322120 326623 326628) (-259 "DPMO.spad" 313862 313878 314000 314213) (-258 "DPMM.spad" 305635 305653 305760 305973) (-257 "DOMTMPLT.spad" 305406 305414 305625 305630) (-256 "DOMCTOR.spad" 305161 305169 305396 305401) (-255 "DOMAIN.spad" 304248 304256 305151 305156) (-254 "DMP.spad" 301508 301523 302078 302205) (-253 "DMEXT.spad" 301375 301385 301476 301503) (-252 "DLP.spad" 300727 300737 301365 301370) (-251 "DLIST.spad" 299153 299163 299757 299784) (-250 "DLAGG.spad" 297570 297580 299143 299148) (-249 "DIVRING.spad" 297112 297120 297514 297565) (-248 "DIVRING.spad" 296698 296708 297102 297107) (-247 "DISPLAY.spad" 294888 294896 296688 296693) (-246 "DIRPROD.spad" 282435 282451 283075 283174) (-245 "DIRPROD2.spad" 281253 281271 282425 282430) (-244 "DIRPCAT.spad" 280446 280462 281149 281248) (-243 "DIRPCAT.spad" 279266 279284 279971 279976) (-242 "DIOSP.spad" 278091 278099 279256 279261) (-241 "DIOPS.spad" 277087 277097 278071 278086) (-240 "DIOPS.spad" 276057 276069 277043 277048) (-239 "DIFRING.spad" 275895 275903 276037 276052) (-238 "DIFFSPC.spad" 275474 275482 275885 275890) (-237 "DIFFSPC.spad" 275051 275061 275464 275469) (-236 "DIFFMOD.spad" 274540 274550 275019 275046) (-235 "DIFFDOM.spad" 273705 273716 274530 274535) (-234 "DIFFDOM.spad" 272868 272881 273695 273700) (-233 "DIFEXT.spad" 272687 272697 272848 272863) (-232 "DIAGG.spad" 272317 272327 272667 272682) (-231 "DIAGG.spad" 271955 271967 272307 272312) (-230 "DHMATRIX.spad" 270150 270160 271295 271322) (-229 "DFSFUN.spad" 263790 263798 270140 270145) (-228 "DFLOAT.spad" 260521 260529 263680 263785) (-227 "DFINTTLS.spad" 258752 258768 260511 260516) (-226 "DERHAM.spad" 256666 256698 258732 258747) (-225 "DEQUEUE.spad" 255873 255883 256156 256183) (-224 "DEGRED.spad" 255490 255504 255863 255868) (-223 "DEFINTRF.spad" 253027 253037 255480 255485) (-222 "DEFINTEF.spad" 251537 251553 253017 253022) (-221 "DEFAST.spad" 250905 250913 251527 251532) (-220 "DECIMAL.spad" 248914 248922 249275 249368) (-219 "DDFACT.spad" 246727 246744 248904 248909) (-218 "DBLRESP.spad" 246327 246351 246717 246722) (-217 "DBASIS.spad" 245953 245968 246317 246322) (-216 "DBASE.spad" 244617 244627 245943 245948) (-215 "DATAARY.spad" 244079 244092 244607 244612) (-214 "D03FAFA.spad" 243907 243915 244069 244074) (-213 "D03EEFA.spad" 243727 243735 243897 243902) (-212 "D03AGNT.spad" 242813 242821 243717 243722) (-211 "D02EJFA.spad" 242275 242283 242803 242808) (-210 "D02CJFA.spad" 241753 241761 242265 242270) (-209 "D02BHFA.spad" 241243 241251 241743 241748) (-208 "D02BBFA.spad" 240733 240741 241233 241238) (-207 "D02AGNT.spad" 235547 235555 240723 240728) (-206 "D01WGTS.spad" 233866 233874 235537 235542) (-205 "D01TRNS.spad" 233843 233851 233856 233861) (-204 "D01GBFA.spad" 233365 233373 233833 233838) (-203 "D01FCFA.spad" 232887 232895 233355 233360) (-202 "D01ASFA.spad" 232355 232363 232877 232882) (-201 "D01AQFA.spad" 231801 231809 232345 232350) (-200 "D01APFA.spad" 231225 231233 231791 231796) (-199 "D01ANFA.spad" 230719 230727 231215 231220) (-198 "D01AMFA.spad" 230229 230237 230709 230714) (-197 "D01ALFA.spad" 229769 229777 230219 230224) (-196 "D01AKFA.spad" 229295 229303 229759 229764) (-195 "D01AJFA.spad" 228818 228826 229285 229290) (-194 "D01AGNT.spad" 224885 224893 228808 228813) (-193 "CYCLOTOM.spad" 224391 224399 224875 224880) (-192 "CYCLES.spad" 221183 221191 224381 224386) (-191 "CVMP.spad" 220600 220610 221173 221178) (-190 "CTRIGMNP.spad" 219100 219116 220590 220595) (-189 "CTOR.spad" 218791 218799 219090 219095) (-188 "CTORKIND.spad" 218394 218402 218781 218786) (-187 "CTORCAT.spad" 217643 217651 218384 218389) (-186 "CTORCAT.spad" 216890 216900 217633 217638) (-185 "CTORCALL.spad" 216479 216489 216880 216885) (-184 "CSTTOOLS.spad" 215724 215737 216469 216474) (-183 "CRFP.spad" 209448 209461 215714 215719) (-182 "CRCEAST.spad" 209168 209176 209438 209443) (-181 "CRAPACK.spad" 208219 208229 209158 209163) (-180 "CPMATCH.spad" 207723 207738 208144 208149) (-179 "CPIMA.spad" 207428 207447 207713 207718) (-178 "COORDSYS.spad" 202437 202447 207418 207423) (-177 "CONTOUR.spad" 201848 201856 202427 202432) (-176 "CONTFRAC.spad" 197598 197608 201750 201843) (-175 "CONDUIT.spad" 197356 197364 197588 197593) (-174 "COMRING.spad" 197030 197038 197294 197351) (-173 "COMPPROP.spad" 196548 196556 197020 197025) (-172 "COMPLPAT.spad" 196315 196330 196538 196543) (-171 "COMPLEX.spad" 191692 191702 191936 192197) (-170 "COMPLEX2.spad" 191407 191419 191682 191687) (-169 "COMPILER.spad" 190956 190964 191397 191402) (-168 "COMPFACT.spad" 190558 190572 190946 190951) (-167 "COMPCAT.spad" 188630 188640 190292 190553) (-166 "COMPCAT.spad" 186430 186442 188094 188099) (-165 "COMMUPC.spad" 186178 186196 186420 186425) (-164 "COMMONOP.spad" 185711 185719 186168 186173) (-163 "COMM.spad" 185522 185530 185701 185706) (-162 "COMMAAST.spad" 185285 185293 185512 185517) (-161 "COMBOPC.spad" 184200 184208 185275 185280) (-160 "COMBINAT.spad" 182967 182977 184190 184195) (-159 "COMBF.spad" 180349 180365 182957 182962) (-158 "COLOR.spad" 179186 179194 180339 180344) (-157 "COLONAST.spad" 178852 178860 179176 179181) (-156 "CMPLXRT.spad" 178563 178580 178842 178847) (-155 "CLLCTAST.spad" 178225 178233 178553 178558) (-154 "CLIP.spad" 174333 174341 178215 178220) (-153 "CLIF.spad" 172988 173004 174289 174328) (-152 "CLAGG.spad" 169493 169503 172978 172983) (-151 "CLAGG.spad" 165869 165881 169356 169361) (-150 "CINTSLPE.spad" 165200 165213 165859 165864) (-149 "CHVAR.spad" 163338 163360 165190 165195) (-148 "CHARZ.spad" 163253 163261 163318 163333) (-147 "CHARPOL.spad" 162763 162773 163243 163248) (-146 "CHARNZ.spad" 162516 162524 162743 162758) (-145 "CHAR.spad" 160390 160398 162506 162511) (-144 "CFCAT.spad" 159718 159726 160380 160385) (-143 "CDEN.spad" 158914 158928 159708 159713) (-142 "CCLASS.spad" 157025 157033 158287 158326) (-141 "CATEGORY.spad" 156067 156075 157015 157020) (-140 "CATCTOR.spad" 155958 155966 156057 156062) (-139 "CATAST.spad" 155576 155584 155948 155953) (-138 "CASEAST.spad" 155290 155298 155566 155571) (-137 "CARTEN.spad" 150657 150681 155280 155285) (-136 "CARTEN2.spad" 150047 150074 150647 150652) (-135 "CARD.spad" 147342 147350 150021 150042) (-134 "CAPSLAST.spad" 147116 147124 147332 147337) (-133 "CACHSET.spad" 146740 146748 147106 147111) (-132 "CABMON.spad" 146295 146303 146730 146735) (-131 "BYTEORD.spad" 145970 145978 146285 146290) (-130 "BYTE.spad" 145397 145405 145960 145965) (-129 "BYTEBUF.spad" 143095 143103 144405 144432) (-128 "BTREE.spad" 142051 142061 142585 142612) (-127 "BTOURN.spad" 140939 140949 141541 141568) (-126 "BTCAT.spad" 140331 140341 140907 140934) (-125 "BTCAT.spad" 139743 139755 140321 140326) (-124 "BTAGG.spad" 139209 139217 139711 139738) (-123 "BTAGG.spad" 138695 138705 139199 139204) (-122 "BSTREE.spad" 137319 137329 138185 138212) (-121 "BRILL.spad" 135516 135527 137309 137314) (-120 "BRAGG.spad" 134456 134466 135506 135511) (-119 "BRAGG.spad" 133360 133372 134412 134417) (-118 "BPADICRT.spad" 131234 131246 131489 131582) (-117 "BPADIC.spad" 130898 130910 131160 131229) (-116 "BOUNDZRO.spad" 130554 130571 130888 130893) (-115 "BOP.spad" 125736 125744 130544 130549) (-114 "BOP1.spad" 123202 123212 125726 125731) (-113 "BOOLE.spad" 122852 122860 123192 123197) (-112 "BOOLEAN.spad" 122290 122298 122842 122847) (-111 "BMODULE.spad" 122002 122014 122258 122285) (-110 "BITS.spad" 121385 121393 121600 121627) (-109 "BINDING.spad" 120798 120806 121375 121380) (-108 "BINARY.spad" 118812 118820 119168 119261) (-107 "BGAGG.spad" 118017 118027 118792 118807) (-106 "BGAGG.spad" 117230 117242 118007 118012) (-105 "BFUNCT.spad" 116794 116802 117210 117225) (-104 "BEZOUT.spad" 115934 115961 116744 116749) (-103 "BBTREE.spad" 112662 112672 115424 115451) (-102 "BASTYPE.spad" 112158 112166 112652 112657) (-101 "BASTYPE.spad" 111652 111662 112148 112153) (-100 "BALFACT.spad" 111111 111124 111642 111647) (-99 "AUTOMOR.spad" 110562 110571 111091 111106) (-98 "ATTREG.spad" 107285 107292 110314 110557) (-97 "ATTRBUT.spad" 103308 103315 107265 107280) (-96 "ATTRAST.spad" 103025 103032 103298 103303) (-95 "ATRIG.spad" 102495 102502 103015 103020) (-94 "ATRIG.spad" 101963 101972 102485 102490) (-93 "ASTCAT.spad" 101867 101874 101953 101958) (-92 "ASTCAT.spad" 101769 101778 101857 101862) (-91 "ASTACK.spad" 100991 101000 101259 101286) (-90 "ASSOCEQ.spad" 99817 99828 100947 100952) (-89 "ASP9.spad" 98898 98911 99807 99812) (-88 "ASP8.spad" 97941 97954 98888 98893) (-87 "ASP80.spad" 97263 97276 97931 97936) (-86 "ASP7.spad" 96423 96436 97253 97258) (-85 "ASP78.spad" 95874 95887 96413 96418) (-84 "ASP77.spad" 95243 95256 95864 95869) (-83 "ASP74.spad" 94335 94348 95233 95238) (-82 "ASP73.spad" 93606 93619 94325 94330) (-81 "ASP6.spad" 92473 92486 93596 93601) (-80 "ASP55.spad" 90982 90995 92463 92468) (-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 "ARR2CAT.spad" 49107 49130 53303 53308) (-55 "ARITY.spad" 48479 48486 49097 49102) (-54 "APPRULE.spad" 47739 47761 48469 48474) (-53 "APPLYORE.spad" 47358 47371 47729 47734) (-52 "ANY.spad" 46217 46224 47348 47353) (-51 "ANY1.spad" 45288 45297 46207 46212) (-50 "ANTISYM.spad" 43733 43749 45268 45283) (-49 "ANON.spad" 43426 43433 43723 43728) (-48 "AN.spad" 41735 41742 43242 43335) (-47 "AMR.spad" 39920 39931 41633 41730) (-46 "AMR.spad" 37942 37955 39657 39662) (-45 "ALIST.spad" 34842 34863 35192 35219) (-44 "ALGSC.spad" 33977 34003 34714 34767) (-43 "ALGPKG.spad" 29760 29771 33933 33938) (-42 "ALGMFACT.spad" 28953 28967 29750 29755) (-41 "ALGMANIP.spad" 26427 26442 28786 28791) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) \ No newline at end of file
+((-3 NIL 2299799 2299804 2299809 2299814) (-2 NIL 2299779 2299784 2299789 2299794) (-1 NIL 2299759 2299764 2299769 2299774) (0 NIL 2299739 2299744 2299749 2299754) (-1326 "ZMOD.spad" 2299548 2299561 2299677 2299734) (-1325 "ZLINDEP.spad" 2298614 2298625 2299538 2299543) (-1324 "ZDSOLVE.spad" 2288559 2288581 2298604 2298609) (-1323 "YSTREAM.spad" 2288054 2288065 2288549 2288554) (-1322 "YDIAGRAM.spad" 2287688 2287697 2288044 2288049) (-1321 "XRPOLY.spad" 2286908 2286928 2287544 2287613) (-1320 "XPR.spad" 2284703 2284716 2286626 2286725) (-1319 "XPOLY.spad" 2284258 2284269 2284559 2284628) (-1318 "XPOLYC.spad" 2283577 2283593 2284184 2284253) (-1317 "XPBWPOLY.spad" 2282014 2282034 2283357 2283426) (-1316 "XF.spad" 2280477 2280492 2281916 2282009) (-1315 "XF.spad" 2278920 2278937 2280361 2280366) (-1314 "XFALG.spad" 2275968 2275984 2278846 2278915) (-1313 "XEXPPKG.spad" 2275219 2275245 2275958 2275963) (-1312 "XDPOLY.spad" 2274833 2274849 2275075 2275144) (-1311 "XALG.spad" 2274493 2274504 2274789 2274828) (-1310 "WUTSET.spad" 2270296 2270313 2274103 2274130) (-1309 "WP.spad" 2269495 2269539 2270154 2270221) (-1308 "WHILEAST.spad" 2269293 2269302 2269485 2269490) (-1307 "WHEREAST.spad" 2268964 2268973 2269283 2269288) (-1306 "WFFINTBS.spad" 2266627 2266649 2268954 2268959) (-1305 "WEIER.spad" 2264849 2264860 2266617 2266622) (-1304 "VSPACE.spad" 2264522 2264533 2264817 2264844) (-1303 "VSPACE.spad" 2264215 2264228 2264512 2264517) (-1302 "VOID.spad" 2263892 2263901 2264205 2264210) (-1301 "VIEW.spad" 2261572 2261581 2263882 2263887) (-1300 "VIEWDEF.spad" 2256773 2256782 2261562 2261567) (-1299 "VIEW3D.spad" 2240734 2240743 2256763 2256768) (-1298 "VIEW2D.spad" 2228625 2228634 2240724 2240729) (-1297 "VECTOR.spad" 2227146 2227157 2227397 2227424) (-1296 "VECTOR2.spad" 2225785 2225798 2227136 2227141) (-1295 "VECTCAT.spad" 2223689 2223700 2225753 2225780) (-1294 "VECTCAT.spad" 2221400 2221413 2223466 2223471) (-1293 "VARIABLE.spad" 2221180 2221195 2221390 2221395) (-1292 "UTYPE.spad" 2220824 2220833 2221170 2221175) (-1291 "UTSODETL.spad" 2220119 2220143 2220780 2220785) (-1290 "UTSODE.spad" 2218335 2218355 2220109 2220114) (-1289 "UTS.spad" 2213282 2213310 2216802 2216899) (-1288 "UTSCAT.spad" 2210761 2210777 2213180 2213277) (-1287 "UTSCAT.spad" 2207884 2207902 2210305 2210310) (-1286 "UTS2.spad" 2207479 2207514 2207874 2207879) (-1285 "URAGG.spad" 2202152 2202163 2207469 2207474) (-1284 "URAGG.spad" 2196789 2196802 2202108 2202113) (-1283 "UPXSSING.spad" 2194434 2194460 2195870 2196003) (-1282 "UPXS.spad" 2191730 2191758 2192566 2192715) (-1281 "UPXSCONS.spad" 2189489 2189509 2189862 2190011) (-1280 "UPXSCCA.spad" 2188060 2188080 2189335 2189484) (-1279 "UPXSCCA.spad" 2186773 2186795 2188050 2188055) (-1278 "UPXSCAT.spad" 2185362 2185378 2186619 2186768) (-1277 "UPXS2.spad" 2184905 2184958 2185352 2185357) (-1276 "UPSQFREE.spad" 2183319 2183333 2184895 2184900) (-1275 "UPSCAT.spad" 2181106 2181130 2183217 2183314) (-1274 "UPSCAT.spad" 2178599 2178625 2180712 2180717) (-1273 "UPOLYC.spad" 2173639 2173650 2178441 2178594) (-1272 "UPOLYC.spad" 2168571 2168584 2173375 2173380) (-1271 "UPOLYC2.spad" 2168042 2168061 2168561 2168566) (-1270 "UP.spad" 2165148 2165163 2165535 2165688) (-1269 "UPMP.spad" 2164048 2164061 2165138 2165143) (-1268 "UPDIVP.spad" 2163613 2163627 2164038 2164043) (-1267 "UPDECOMP.spad" 2161858 2161872 2163603 2163608) (-1266 "UPCDEN.spad" 2161067 2161083 2161848 2161853) (-1265 "UP2.spad" 2160431 2160452 2161057 2161062) (-1264 "UNISEG.spad" 2159784 2159795 2160350 2160355) (-1263 "UNISEG2.spad" 2159281 2159294 2159740 2159745) (-1262 "UNIFACT.spad" 2158384 2158396 2159271 2159276) (-1261 "ULS.spad" 2148168 2148196 2149113 2149542) (-1260 "ULSCONS.spad" 2139302 2139322 2139672 2139821) (-1259 "ULSCCAT.spad" 2137039 2137059 2139148 2139297) (-1258 "ULSCCAT.spad" 2134884 2134906 2136995 2137000) (-1257 "ULSCAT.spad" 2133116 2133132 2134730 2134879) (-1256 "ULS2.spad" 2132630 2132683 2133106 2133111) (-1255 "UINT8.spad" 2132507 2132516 2132620 2132625) (-1254 "UINT64.spad" 2132383 2132392 2132497 2132502) (-1253 "UINT32.spad" 2132259 2132268 2132373 2132378) (-1252 "UINT16.spad" 2132135 2132144 2132249 2132254) (-1251 "UFD.spad" 2131200 2131209 2132061 2132130) (-1250 "UFD.spad" 2130327 2130338 2131190 2131195) (-1249 "UDVO.spad" 2129208 2129217 2130317 2130322) (-1248 "UDPO.spad" 2126701 2126712 2129164 2129169) (-1247 "TYPE.spad" 2126633 2126642 2126691 2126696) (-1246 "TYPEAST.spad" 2126552 2126561 2126623 2126628) (-1245 "TWOFACT.spad" 2125204 2125219 2126542 2126547) (-1244 "TUPLE.spad" 2124690 2124701 2125103 2125108) (-1243 "TUBETOOL.spad" 2121557 2121566 2124680 2124685) (-1242 "TUBE.spad" 2120204 2120221 2121547 2121552) (-1241 "TS.spad" 2118803 2118819 2119769 2119866) (-1240 "TSETCAT.spad" 2105930 2105947 2118771 2118798) (-1239 "TSETCAT.spad" 2093043 2093062 2105886 2105891) (-1238 "TRMANIP.spad" 2087409 2087426 2092749 2092754) (-1237 "TRIMAT.spad" 2086372 2086397 2087399 2087404) (-1236 "TRIGMNIP.spad" 2084899 2084916 2086362 2086367) (-1235 "TRIGCAT.spad" 2084411 2084420 2084889 2084894) (-1234 "TRIGCAT.spad" 2083921 2083932 2084401 2084406) (-1233 "TREE.spad" 2082379 2082390 2083411 2083438) (-1232 "TRANFUN.spad" 2082218 2082227 2082369 2082374) (-1231 "TRANFUN.spad" 2082055 2082066 2082208 2082213) (-1230 "TOPSP.spad" 2081729 2081738 2082045 2082050) (-1229 "TOOLSIGN.spad" 2081392 2081403 2081719 2081724) (-1228 "TEXTFILE.spad" 2079953 2079962 2081382 2081387) (-1227 "TEX.spad" 2077099 2077108 2079943 2079948) (-1226 "TEX1.spad" 2076655 2076666 2077089 2077094) (-1225 "TEMUTL.spad" 2076210 2076219 2076645 2076650) (-1224 "TBCMPPK.spad" 2074303 2074326 2076200 2076205) (-1223 "TBAGG.spad" 2073353 2073376 2074283 2074298) (-1222 "TBAGG.spad" 2072411 2072436 2073343 2073348) (-1221 "TANEXP.spad" 2071819 2071830 2072401 2072406) (-1220 "TALGOP.spad" 2071543 2071554 2071809 2071814) (-1219 "TABLE.spad" 2069512 2069535 2069782 2069809) (-1218 "TABLEAU.spad" 2068993 2069004 2069502 2069507) (-1217 "TABLBUMP.spad" 2065796 2065807 2068983 2068988) (-1216 "SYSTEM.spad" 2065024 2065033 2065786 2065791) (-1215 "SYSSOLP.spad" 2062507 2062518 2065014 2065019) (-1214 "SYSPTR.spad" 2062406 2062415 2062497 2062502) (-1213 "SYSNNI.spad" 2061597 2061608 2062396 2062401) (-1212 "SYSINT.spad" 2061001 2061012 2061587 2061592) (-1211 "SYNTAX.spad" 2057207 2057216 2060991 2060996) (-1210 "SYMTAB.spad" 2055275 2055284 2057197 2057202) (-1209 "SYMS.spad" 2051298 2051307 2055265 2055270) (-1208 "SYMPOLY.spad" 2050304 2050315 2050386 2050513) (-1207 "SYMFUNC.spad" 2049805 2049816 2050294 2050299) (-1206 "SYMBOL.spad" 2047308 2047317 2049795 2049800) (-1205 "SWITCH.spad" 2044079 2044088 2047298 2047303) (-1204 "SUTS.spad" 2041127 2041155 2042546 2042643) (-1203 "SUPXS.spad" 2038410 2038438 2039259 2039408) (-1202 "SUP.spad" 2035130 2035141 2035903 2036056) (-1201 "SUPFRACF.spad" 2034235 2034253 2035120 2035125) (-1200 "SUP2.spad" 2033627 2033640 2034225 2034230) (-1199 "SUMRF.spad" 2032601 2032612 2033617 2033622) (-1198 "SUMFS.spad" 2032238 2032255 2032591 2032596) (-1197 "SULS.spad" 2022009 2022037 2022967 2023396) (-1196 "SUCHTAST.spad" 2021778 2021787 2021999 2022004) (-1195 "SUCH.spad" 2021460 2021475 2021768 2021773) (-1194 "SUBSPACE.spad" 2013575 2013590 2021450 2021455) (-1193 "SUBRESP.spad" 2012745 2012759 2013531 2013536) (-1192 "STTF.spad" 2008844 2008860 2012735 2012740) (-1191 "STTFNC.spad" 2005312 2005328 2008834 2008839) (-1190 "STTAYLOR.spad" 1997947 1997958 2005193 2005198) (-1189 "STRTBL.spad" 1995998 1996015 1996147 1996174) (-1188 "STRING.spad" 1994785 1994794 1995006 1995033) (-1187 "STREAM.spad" 1991586 1991597 1994193 1994208) (-1186 "STREAM3.spad" 1991159 1991174 1991576 1991581) (-1185 "STREAM2.spad" 1990287 1990300 1991149 1991154) (-1184 "STREAM1.spad" 1989993 1990004 1990277 1990282) (-1183 "STINPROD.spad" 1988929 1988945 1989983 1989988) (-1182 "STEP.spad" 1988130 1988139 1988919 1988924) (-1181 "STEPAST.spad" 1987364 1987373 1988120 1988125) (-1180 "STBL.spad" 1985448 1985476 1985615 1985630) (-1179 "STAGG.spad" 1984523 1984534 1985438 1985443) (-1178 "STAGG.spad" 1983596 1983609 1984513 1984518) (-1177 "STACK.spad" 1982836 1982847 1983086 1983113) (-1176 "SREGSET.spad" 1980504 1980521 1982446 1982473) (-1175 "SRDCMPK.spad" 1979065 1979085 1980494 1980499) (-1174 "SRAGG.spad" 1974208 1974217 1979033 1979060) (-1173 "SRAGG.spad" 1969371 1969382 1974198 1974203) (-1172 "SQMATRIX.spad" 1966914 1966932 1967830 1967917) (-1171 "SPLTREE.spad" 1961310 1961323 1966194 1966221) (-1170 "SPLNODE.spad" 1957898 1957911 1961300 1961305) (-1169 "SPFCAT.spad" 1956707 1956716 1957888 1957893) (-1168 "SPECOUT.spad" 1955259 1955268 1956697 1956702) (-1167 "SPADXPT.spad" 1946854 1946863 1955249 1955254) (-1166 "spad-parser.spad" 1946319 1946328 1946844 1946849) (-1165 "SPADAST.spad" 1946020 1946029 1946309 1946314) (-1164 "SPACEC.spad" 1930219 1930230 1946010 1946015) (-1163 "SPACE3.spad" 1929995 1930006 1930209 1930214) (-1162 "SORTPAK.spad" 1929544 1929557 1929951 1929956) (-1161 "SOLVETRA.spad" 1927307 1927318 1929534 1929539) (-1160 "SOLVESER.spad" 1925835 1925846 1927297 1927302) (-1159 "SOLVERAD.spad" 1921861 1921872 1925825 1925830) (-1158 "SOLVEFOR.spad" 1920323 1920341 1921851 1921856) (-1157 "SNTSCAT.spad" 1919923 1919940 1920291 1920318) (-1156 "SMTS.spad" 1918195 1918221 1919488 1919585) (-1155 "SMP.spad" 1915670 1915690 1916060 1916187) (-1154 "SMITH.spad" 1914515 1914540 1915660 1915665) (-1153 "SMATCAT.spad" 1912625 1912655 1914459 1914510) (-1152 "SMATCAT.spad" 1910667 1910699 1912503 1912508) (-1151 "SKAGG.spad" 1909630 1909641 1910635 1910662) (-1150 "SINT.spad" 1908570 1908579 1909496 1909625) (-1149 "SIMPAN.spad" 1908298 1908307 1908560 1908565) (-1148 "SIG.spad" 1907628 1907637 1908288 1908293) (-1147 "SIGNRF.spad" 1906746 1906757 1907618 1907623) (-1146 "SIGNEF.spad" 1906025 1906042 1906736 1906741) (-1145 "SIGAST.spad" 1905410 1905419 1906015 1906020) (-1144 "SHP.spad" 1903338 1903353 1905366 1905371) (-1143 "SHDP.spad" 1891016 1891043 1891525 1891624) (-1142 "SGROUP.spad" 1890624 1890633 1891006 1891011) (-1141 "SGROUP.spad" 1890230 1890241 1890614 1890619) (-1140 "SGCF.spad" 1883369 1883378 1890220 1890225) (-1139 "SFRTCAT.spad" 1882299 1882316 1883337 1883364) (-1138 "SFRGCD.spad" 1881362 1881382 1882289 1882294) (-1137 "SFQCMPK.spad" 1875999 1876019 1881352 1881357) (-1136 "SFORT.spad" 1875438 1875452 1875989 1875994) (-1135 "SEXOF.spad" 1875281 1875321 1875428 1875433) (-1134 "SEX.spad" 1875173 1875182 1875271 1875276) (-1133 "SEXCAT.spad" 1872945 1872985 1875163 1875168) (-1132 "SET.spad" 1871233 1871244 1872330 1872369) (-1131 "SETMN.spad" 1869683 1869700 1871223 1871228) (-1130 "SETCAT.spad" 1869168 1869177 1869673 1869678) (-1129 "SETCAT.spad" 1868651 1868662 1869158 1869163) (-1128 "SETAGG.spad" 1865200 1865211 1868631 1868646) (-1127 "SETAGG.spad" 1861757 1861770 1865190 1865195) (-1126 "SEQAST.spad" 1861460 1861469 1861747 1861752) (-1125 "SEGXCAT.spad" 1860616 1860629 1861450 1861455) (-1124 "SEG.spad" 1860429 1860440 1860535 1860540) (-1123 "SEGCAT.spad" 1859354 1859365 1860419 1860424) (-1122 "SEGBIND.spad" 1859112 1859123 1859301 1859306) (-1121 "SEGBIND2.spad" 1858810 1858823 1859102 1859107) (-1120 "SEGAST.spad" 1858524 1858533 1858800 1858805) (-1119 "SEG2.spad" 1857959 1857972 1858480 1858485) (-1118 "SDVAR.spad" 1857235 1857246 1857949 1857954) (-1117 "SDPOL.spad" 1854568 1854579 1854859 1854986) (-1116 "SCPKG.spad" 1852657 1852668 1854558 1854563) (-1115 "SCOPE.spad" 1851810 1851819 1852647 1852652) (-1114 "SCACHE.spad" 1850506 1850517 1851800 1851805) (-1113 "SASTCAT.spad" 1850415 1850424 1850496 1850501) (-1112 "SAOS.spad" 1850287 1850296 1850405 1850410) (-1111 "SAERFFC.spad" 1850000 1850020 1850277 1850282) (-1110 "SAE.spad" 1847470 1847486 1848081 1848216) (-1109 "SAEFACT.spad" 1847171 1847191 1847460 1847465) (-1108 "RURPK.spad" 1844830 1844846 1847161 1847166) (-1107 "RULESET.spad" 1844283 1844307 1844820 1844825) (-1106 "RULE.spad" 1842523 1842547 1844273 1844278) (-1105 "RULECOLD.spad" 1842375 1842388 1842513 1842518) (-1104 "RTVALUE.spad" 1842110 1842119 1842365 1842370) (-1103 "RSTRCAST.spad" 1841827 1841836 1842100 1842105) (-1102 "RSETGCD.spad" 1838205 1838225 1841817 1841822) (-1101 "RSETCAT.spad" 1828141 1828158 1838173 1838200) (-1100 "RSETCAT.spad" 1818097 1818116 1828131 1828136) (-1099 "RSDCMPK.spad" 1816549 1816569 1818087 1818092) (-1098 "RRCC.spad" 1814933 1814963 1816539 1816544) (-1097 "RRCC.spad" 1813315 1813347 1814923 1814928) (-1096 "RPTAST.spad" 1813017 1813026 1813305 1813310) (-1095 "RPOLCAT.spad" 1792377 1792392 1812885 1813012) (-1094 "RPOLCAT.spad" 1771450 1771467 1791960 1791965) (-1093 "ROUTINE.spad" 1766871 1766880 1769635 1769662) (-1092 "ROMAN.spad" 1766199 1766208 1766737 1766866) (-1091 "ROIRC.spad" 1765279 1765311 1766189 1766194) (-1090 "RNS.spad" 1764182 1764191 1765181 1765274) (-1089 "RNS.spad" 1763171 1763182 1764172 1764177) (-1088 "RNG.spad" 1762906 1762915 1763161 1763166) (-1087 "RNGBIND.spad" 1762066 1762080 1762861 1762866) (-1086 "RMODULE.spad" 1761831 1761842 1762056 1762061) (-1085 "RMCAT2.spad" 1761251 1761308 1761821 1761826) (-1084 "RMATRIX.spad" 1760039 1760058 1760382 1760421) (-1083 "RMATCAT.spad" 1755618 1755649 1759995 1760034) (-1082 "RMATCAT.spad" 1751087 1751120 1755466 1755471) (-1081 "RLINSET.spad" 1750791 1750802 1751077 1751082) (-1080 "RINTERP.spad" 1750679 1750699 1750781 1750786) (-1079 "RING.spad" 1750149 1750158 1750659 1750674) (-1078 "RING.spad" 1749627 1749638 1750139 1750144) (-1077 "RIDIST.spad" 1749019 1749028 1749617 1749622) (-1076 "RGCHAIN.spad" 1747547 1747563 1748449 1748476) (-1075 "RGBCSPC.spad" 1747328 1747340 1747537 1747542) (-1074 "RGBCMDL.spad" 1746858 1746870 1747318 1747323) (-1073 "RF.spad" 1744500 1744511 1746848 1746853) (-1072 "RFFACTOR.spad" 1743962 1743973 1744490 1744495) (-1071 "RFFACT.spad" 1743697 1743709 1743952 1743957) (-1070 "RFDIST.spad" 1742693 1742702 1743687 1743692) (-1069 "RETSOL.spad" 1742112 1742125 1742683 1742688) (-1068 "RETRACT.spad" 1741540 1741551 1742102 1742107) (-1067 "RETRACT.spad" 1740966 1740979 1741530 1741535) (-1066 "RETAST.spad" 1740778 1740787 1740956 1740961) (-1065 "RESULT.spad" 1738376 1738385 1738963 1738990) (-1064 "RESRING.spad" 1737723 1737770 1738314 1738371) (-1063 "RESLATC.spad" 1737047 1737058 1737713 1737718) (-1062 "REPSQ.spad" 1736778 1736789 1737037 1737042) (-1061 "REP.spad" 1734332 1734341 1736768 1736773) (-1060 "REPDB.spad" 1734039 1734050 1734322 1734327) (-1059 "REP2.spad" 1723697 1723708 1733881 1733886) (-1058 "REP1.spad" 1717893 1717904 1723647 1723652) (-1057 "REGSET.spad" 1715654 1715671 1717503 1717530) (-1056 "REF.spad" 1714989 1715000 1715609 1715614) (-1055 "REDORDER.spad" 1714195 1714212 1714979 1714984) (-1054 "RECLOS.spad" 1712978 1712998 1713682 1713775) (-1053 "REALSOLV.spad" 1712118 1712127 1712968 1712973) (-1052 "REAL.spad" 1711990 1711999 1712108 1712113) (-1051 "REAL0Q.spad" 1709288 1709303 1711980 1711985) (-1050 "REAL0.spad" 1706132 1706147 1709278 1709283) (-1049 "RDUCEAST.spad" 1705853 1705862 1706122 1706127) (-1048 "RDIV.spad" 1705508 1705533 1705843 1705848) (-1047 "RDIST.spad" 1705075 1705086 1705498 1705503) (-1046 "RDETRS.spad" 1703939 1703957 1705065 1705070) (-1045 "RDETR.spad" 1702078 1702096 1703929 1703934) (-1044 "RDEEFS.spad" 1701177 1701194 1702068 1702073) (-1043 "RDEEF.spad" 1700187 1700204 1701167 1701172) (-1042 "RCFIELD.spad" 1697373 1697382 1700089 1700182) (-1041 "RCFIELD.spad" 1694645 1694656 1697363 1697368) (-1040 "RCAGG.spad" 1692573 1692584 1694635 1694640) (-1039 "RCAGG.spad" 1690428 1690441 1692492 1692497) (-1038 "RATRET.spad" 1689788 1689799 1690418 1690423) (-1037 "RATFACT.spad" 1689480 1689492 1689778 1689783) (-1036 "RANDSRC.spad" 1688799 1688808 1689470 1689475) (-1035 "RADUTIL.spad" 1688555 1688564 1688789 1688794) (-1034 "RADIX.spad" 1685379 1685393 1686925 1687018) (-1033 "RADFF.spad" 1683118 1683155 1683237 1683393) (-1032 "RADCAT.spad" 1682713 1682722 1683108 1683113) (-1031 "RADCAT.spad" 1682306 1682317 1682703 1682708) (-1030 "QUEUE.spad" 1681537 1681548 1681796 1681823) (-1029 "QUAT.spad" 1680025 1680036 1680368 1680433) (-1028 "QUATCT2.spad" 1679645 1679664 1680015 1680020) (-1027 "QUATCAT.spad" 1677815 1677826 1679575 1679640) (-1026 "QUATCAT.spad" 1675736 1675749 1677498 1677503) (-1025 "QUAGG.spad" 1674563 1674574 1675704 1675731) (-1024 "QQUTAST.spad" 1674331 1674340 1674553 1674558) (-1023 "QFORM.spad" 1673949 1673964 1674321 1674326) (-1022 "QFCAT.spad" 1672651 1672662 1673851 1673944) (-1021 "QFCAT.spad" 1670944 1670957 1672146 1672151) (-1020 "QFCAT2.spad" 1670636 1670653 1670934 1670939) (-1019 "QEQUAT.spad" 1670194 1670203 1670626 1670631) (-1018 "QCMPACK.spad" 1664940 1664960 1670184 1670189) (-1017 "QALGSET.spad" 1661018 1661051 1664854 1664859) (-1016 "QALGSET2.spad" 1659013 1659032 1661008 1661013) (-1015 "PWFFINTB.spad" 1656428 1656450 1659003 1659008) (-1014 "PUSHVAR.spad" 1655766 1655786 1656418 1656423) (-1013 "PTRANFN.spad" 1651893 1651904 1655756 1655761) (-1012 "PTPACK.spad" 1648980 1648991 1651883 1651888) (-1011 "PTFUNC2.spad" 1648802 1648817 1648970 1648975) (-1010 "PTCAT.spad" 1648056 1648067 1648770 1648797) (-1009 "PSQFR.spad" 1647362 1647387 1648046 1648051) (-1008 "PSEUDLIN.spad" 1646247 1646258 1647352 1647357) (-1007 "PSETPK.spad" 1631679 1631696 1646125 1646130) (-1006 "PSETCAT.spad" 1625598 1625622 1631659 1631674) (-1005 "PSETCAT.spad" 1619491 1619517 1625554 1625559) (-1004 "PSCURVE.spad" 1618473 1618482 1619481 1619486) (-1003 "PSCAT.spad" 1617255 1617285 1618371 1618468) (-1002 "PSCAT.spad" 1616127 1616159 1617245 1617250) (-1001 "PRTITION.spad" 1614824 1614833 1616117 1616122) (-1000 "PRTDAST.spad" 1614542 1614551 1614814 1614819) (-999 "PRS.spad" 1604104 1604121 1614498 1614503) (-998 "PRQAGG.spad" 1603539 1603549 1604072 1604099) (-997 "PROPLOG.spad" 1603111 1603119 1603529 1603534) (-996 "PROPFUN2.spad" 1602734 1602747 1603101 1603106) (-995 "PROPFUN1.spad" 1602132 1602143 1602724 1602729) (-994 "PROPFRML.spad" 1600700 1600711 1602122 1602127) (-993 "PROPERTY.spad" 1600188 1600196 1600690 1600695) (-992 "PRODUCT.spad" 1597870 1597882 1598154 1598209) (-991 "PR.spad" 1596262 1596274 1596961 1597088) (-990 "PRINT.spad" 1596014 1596022 1596252 1596257) (-989 "PRIMES.spad" 1594267 1594277 1596004 1596009) (-988 "PRIMELT.spad" 1592348 1592362 1594257 1594262) (-987 "PRIMCAT.spad" 1591975 1591983 1592338 1592343) (-986 "PRIMARR.spad" 1590827 1590837 1591005 1591032) (-985 "PRIMARR2.spad" 1589594 1589606 1590817 1590822) (-984 "PREASSOC.spad" 1588976 1588988 1589584 1589589) (-983 "PPCURVE.spad" 1588113 1588121 1588966 1588971) (-982 "PORTNUM.spad" 1587888 1587896 1588103 1588108) (-981 "POLYROOT.spad" 1586737 1586759 1587844 1587849) (-980 "POLY.spad" 1584072 1584082 1584587 1584714) (-979 "POLYLIFT.spad" 1583337 1583360 1584062 1584067) (-978 "POLYCATQ.spad" 1581455 1581477 1583327 1583332) (-977 "POLYCAT.spad" 1574925 1574946 1581323 1581450) (-976 "POLYCAT.spad" 1567733 1567756 1574133 1574138) (-975 "POLY2UP.spad" 1567185 1567199 1567723 1567728) (-974 "POLY2.spad" 1566782 1566794 1567175 1567180) (-973 "POLUTIL.spad" 1565723 1565752 1566738 1566743) (-972 "POLTOPOL.spad" 1564471 1564486 1565713 1565718) (-971 "POINT.spad" 1563156 1563166 1563243 1563270) (-970 "PNTHEORY.spad" 1559858 1559866 1563146 1563151) (-969 "PMTOOLS.spad" 1558633 1558647 1559848 1559853) (-968 "PMSYM.spad" 1558182 1558192 1558623 1558628) (-967 "PMQFCAT.spad" 1557773 1557787 1558172 1558177) (-966 "PMPRED.spad" 1557252 1557266 1557763 1557768) (-965 "PMPREDFS.spad" 1556706 1556728 1557242 1557247) (-964 "PMPLCAT.spad" 1555786 1555804 1556638 1556643) (-963 "PMLSAGG.spad" 1555371 1555385 1555776 1555781) (-962 "PMKERNEL.spad" 1554950 1554962 1555361 1555366) (-961 "PMINS.spad" 1554530 1554540 1554940 1554945) (-960 "PMFS.spad" 1554107 1554125 1554520 1554525) (-959 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1341455 1341460) (-827 "ODEPAL.spad" 1338185 1338209 1338789 1338794) (-826 "ODEPACK.spad" 1324851 1324859 1338175 1338180) (-825 "ODEINT.spad" 1324286 1324302 1324841 1324846) (-824 "ODEIFTBL.spad" 1321681 1321689 1324276 1324281) (-823 "ODEEF.spad" 1317172 1317188 1321671 1321676) (-822 "ODECONST.spad" 1316709 1316727 1317162 1317167) (-821 "ODECAT.spad" 1315307 1315315 1316699 1316704) (-820 "OCT.spad" 1313443 1313453 1314157 1314196) (-819 "OCTCT2.spad" 1313089 1313110 1313433 1313438) (-818 "OC.spad" 1310885 1310895 1313045 1313084) (-817 "OC.spad" 1308406 1308418 1310568 1310573) (-816 "OCAMON.spad" 1308254 1308262 1308396 1308401) (-815 "OASGP.spad" 1308069 1308077 1308244 1308249) (-814 "OAMONS.spad" 1307591 1307599 1308059 1308064) (-813 "OAMON.spad" 1307452 1307460 1307581 1307586) (-812 "OAGROUP.spad" 1307314 1307322 1307442 1307447) (-811 "NUMTUBE.spad" 1306905 1306921 1307304 1307309) (-810 "NUMQUAD.spad" 1294881 1294889 1306895 1306900) (-809 "NUMODE.spad" 1286235 1286243 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1252616 1252621) (-789 "NFINTBAS.spad" 1248727 1248744 1251157 1251162) (-788 "NETCLT.spad" 1248701 1248712 1248717 1248722) (-787 "NCODIV.spad" 1246917 1246933 1248691 1248696) (-786 "NCNTFRAC.spad" 1246559 1246573 1246907 1246912) (-785 "NCEP.spad" 1244725 1244739 1246549 1246554) (-784 "NASRING.spad" 1244321 1244329 1244715 1244720) (-783 "NASRING.spad" 1243915 1243925 1244311 1244316) (-782 "NARNG.spad" 1243267 1243275 1243905 1243910) (-781 "NARNG.spad" 1242617 1242627 1243257 1243262) (-780 "NAGSP.spad" 1241694 1241702 1242607 1242612) (-779 "NAGS.spad" 1231355 1231363 1241684 1241689) (-778 "NAGF07.spad" 1229786 1229794 1231345 1231350) (-777 "NAGF04.spad" 1224188 1224196 1229776 1229781) (-776 "NAGF02.spad" 1218257 1218265 1224178 1224183) (-775 "NAGF01.spad" 1214018 1214026 1218247 1218252) (-774 "NAGE04.spad" 1207718 1207726 1214008 1214013) (-773 "NAGE02.spad" 1198378 1198386 1207708 1207713) (-772 "NAGE01.spad" 1194380 1194388 1198368 1198373) (-771 "NAGD03.spad" 1192384 1192392 1194370 1194375) (-770 "NAGD02.spad" 1185131 1185139 1192374 1192379) (-769 "NAGD01.spad" 1179424 1179432 1185121 1185126) (-768 "NAGC06.spad" 1175299 1175307 1179414 1179419) (-767 "NAGC05.spad" 1173800 1173808 1175289 1175294) (-766 "NAGC02.spad" 1173067 1173075 1173790 1173795) (-765 "NAALG.spad" 1172608 1172618 1173035 1173062) (-764 "NAALG.spad" 1172169 1172181 1172598 1172603) (-763 "MULTSQFR.spad" 1169127 1169144 1172159 1172164) (-762 "MULTFACT.spad" 1168510 1168527 1169117 1169122) (-761 "MTSCAT.spad" 1166604 1166625 1168408 1168505) (-760 "MTHING.spad" 1166263 1166273 1166594 1166599) (-759 "MSYSCMD.spad" 1165697 1165705 1166253 1166258) (-758 "MSET.spad" 1163619 1163629 1165367 1165406) (-757 "MSETAGG.spad" 1163464 1163474 1163587 1163614) (-756 "MRING.spad" 1160441 1160453 1163172 1163239) (-755 "MRF2.spad" 1160011 1160025 1160431 1160436) (-754 "MRATFAC.spad" 1159557 1159574 1160001 1160006) (-753 "MPRFF.spad" 1157597 1157616 1159547 1159552) (-752 "MPOLY.spad" 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"DROPT.spad" 361712 361720 367743 367748) (-270 "DROPT1.spad" 361377 361387 361702 361707) (-269 "DROPT0.spad" 356234 356242 361367 361372) (-268 "DRAWPT.spad" 354407 354415 356224 356229) (-267 "DRAW.spad" 347283 347296 354397 354402) (-266 "DRAWHACK.spad" 346591 346601 347273 347278) (-265 "DRAWCX.spad" 344061 344069 346581 346586) (-264 "DRAWCURV.spad" 343608 343623 344051 344056) (-263 "DRAWCFUN.spad" 333140 333148 343598 343603) (-262 "DQAGG.spad" 331318 331328 333108 333135) (-261 "DPOLCAT.spad" 326667 326683 331186 331313) (-260 "DPOLCAT.spad" 322102 322120 326623 326628) (-259 "DPMO.spad" 313862 313878 314000 314213) (-258 "DPMM.spad" 305635 305653 305760 305973) (-257 "DOMTMPLT.spad" 305406 305414 305625 305630) (-256 "DOMCTOR.spad" 305161 305169 305396 305401) (-255 "DOMAIN.spad" 304248 304256 305151 305156) (-254 "DMP.spad" 301508 301523 302078 302205) (-253 "DMEXT.spad" 301375 301385 301476 301503) (-252 "DLP.spad" 300727 300737 301365 301370) (-251 "DLIST.spad" 299153 299163 299757 299784) (-250 "DLAGG.spad" 297570 297580 299143 299148) (-249 "DIVRING.spad" 297112 297120 297514 297565) (-248 "DIVRING.spad" 296698 296708 297102 297107) (-247 "DISPLAY.spad" 294888 294896 296688 296693) (-246 "DIRPROD.spad" 282435 282451 283075 283174) (-245 "DIRPROD2.spad" 281253 281271 282425 282430) (-244 "DIRPCAT.spad" 280446 280462 281149 281248) (-243 "DIRPCAT.spad" 279266 279284 279971 279976) (-242 "DIOSP.spad" 278091 278099 279256 279261) (-241 "DIOPS.spad" 277087 277097 278071 278086) (-240 "DIOPS.spad" 276057 276069 277043 277048) (-239 "DIFRING.spad" 275895 275903 276037 276052) (-238 "DIFFSPC.spad" 275474 275482 275885 275890) (-237 "DIFFSPC.spad" 275051 275061 275464 275469) (-236 "DIFFMOD.spad" 274540 274550 275019 275046) (-235 "DIFFDOM.spad" 273705 273716 274530 274535) (-234 "DIFFDOM.spad" 272868 272881 273695 273700) (-233 "DIFEXT.spad" 272687 272697 272848 272863) (-232 "DIAGG.spad" 272317 272327 272667 272682) (-231 "DIAGG.spad" 271955 271967 272307 272312) (-230 "DHMATRIX.spad" 270150 270160 271295 271322) (-229 "DFSFUN.spad" 263790 263798 270140 270145) (-228 "DFLOAT.spad" 260521 260529 263680 263785) (-227 "DFINTTLS.spad" 258752 258768 260511 260516) (-226 "DERHAM.spad" 256666 256698 258732 258747) (-225 "DEQUEUE.spad" 255873 255883 256156 256183) (-224 "DEGRED.spad" 255490 255504 255863 255868) (-223 "DEFINTRF.spad" 253027 253037 255480 255485) (-222 "DEFINTEF.spad" 251537 251553 253017 253022) (-221 "DEFAST.spad" 250905 250913 251527 251532) (-220 "DECIMAL.spad" 248914 248922 249275 249368) (-219 "DDFACT.spad" 246727 246744 248904 248909) (-218 "DBLRESP.spad" 246327 246351 246717 246722) (-217 "DBASIS.spad" 245953 245968 246317 246322) (-216 "DBASE.spad" 244617 244627 245943 245948) (-215 "DATAARY.spad" 244079 244092 244607 244612) (-214 "D03FAFA.spad" 243907 243915 244069 244074) (-213 "D03EEFA.spad" 243727 243735 243897 243902) (-212 "D03AGNT.spad" 242813 242821 243717 243722) (-211 "D02EJFA.spad" 242275 242283 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221173 221178) (-190 "CTRIGMNP.spad" 219100 219116 220590 220595) (-189 "CTOR.spad" 218791 218799 219090 219095) (-188 "CTORKIND.spad" 218394 218402 218781 218786) (-187 "CTORCAT.spad" 217643 217651 218384 218389) (-186 "CTORCAT.spad" 216890 216900 217633 217638) (-185 "CTORCALL.spad" 216479 216489 216880 216885) (-184 "CSTTOOLS.spad" 215724 215737 216469 216474) (-183 "CRFP.spad" 209448 209461 215714 215719) (-182 "CRCEAST.spad" 209168 209176 209438 209443) (-181 "CRAPACK.spad" 208219 208229 209158 209163) (-180 "CPMATCH.spad" 207723 207738 208144 208149) (-179 "CPIMA.spad" 207428 207447 207713 207718) (-178 "COORDSYS.spad" 202437 202447 207418 207423) (-177 "CONTOUR.spad" 201848 201856 202427 202432) (-176 "CONTFRAC.spad" 197598 197608 201750 201843) (-175 "CONDUIT.spad" 197356 197364 197588 197593) (-174 "COMRING.spad" 197030 197038 197294 197351) (-173 "COMPPROP.spad" 196548 196556 197020 197025) (-172 "COMPLPAT.spad" 196315 196330 196538 196543) (-171 "COMPLEX.spad" 191692 191702 191936 192197) (-170 "COMPLEX2.spad" 191407 191419 191682 191687) (-169 "COMPILER.spad" 190956 190964 191397 191402) (-168 "COMPFACT.spad" 190558 190572 190946 190951) (-167 "COMPCAT.spad" 188630 188640 190292 190553) (-166 "COMPCAT.spad" 186430 186442 188094 188099) (-165 "COMMUPC.spad" 186178 186196 186420 186425) (-164 "COMMONOP.spad" 185711 185719 186168 186173) (-163 "COMM.spad" 185522 185530 185701 185706) (-162 "COMMAAST.spad" 185285 185293 185512 185517) (-161 "COMBOPC.spad" 184200 184208 185275 185280) (-160 "COMBINAT.spad" 182967 182977 184190 184195) (-159 "COMBF.spad" 180349 180365 182957 182962) (-158 "COLOR.spad" 179186 179194 180339 180344) (-157 "COLONAST.spad" 178852 178860 179176 179181) (-156 "CMPLXRT.spad" 178563 178580 178842 178847) (-155 "CLLCTAST.spad" 178225 178233 178553 178558) (-154 "CLIP.spad" 174333 174341 178215 178220) (-153 "CLIF.spad" 172988 173004 174289 174328) (-152 "CLAGG.spad" 169493 169503 172978 172983) (-151 "CLAGG.spad" 165869 165881 169356 169361) (-150 "CINTSLPE.spad" 165200 165213 165859 165864) (-149 "CHVAR.spad" 163338 163360 165190 165195) (-148 "CHARZ.spad" 163253 163261 163318 163333) (-147 "CHARPOL.spad" 162763 162773 163243 163248) (-146 "CHARNZ.spad" 162516 162524 162743 162758) (-145 "CHAR.spad" 160390 160398 162506 162511) (-144 "CFCAT.spad" 159718 159726 160380 160385) (-143 "CDEN.spad" 158914 158928 159708 159713) (-142 "CCLASS.spad" 157025 157033 158287 158326) (-141 "CATEGORY.spad" 156067 156075 157015 157020) (-140 "CATCTOR.spad" 155958 155966 156057 156062) (-139 "CATAST.spad" 155576 155584 155948 155953) (-138 "CASEAST.spad" 155290 155298 155566 155571) (-137 "CARTEN.spad" 150657 150681 155280 155285) (-136 "CARTEN2.spad" 150047 150074 150647 150652) (-135 "CARD.spad" 147342 147350 150021 150042) (-134 "CAPSLAST.spad" 147116 147124 147332 147337) (-133 "CACHSET.spad" 146740 146748 147106 147111) (-132 "CABMON.spad" 146295 146303 146730 146735) (-131 "BYTEORD.spad" 145970 145978 146285 146290) (-130 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"ASP9.spad" 98898 98911 99807 99812) (-88 "ASP8.spad" 97941 97954 98888 98893) (-87 "ASP80.spad" 97263 97276 97931 97936) (-86 "ASP7.spad" 96423 96436 97253 97258) (-85 "ASP78.spad" 95874 95887 96413 96418) (-84 "ASP77.spad" 95243 95256 95864 95869) (-83 "ASP74.spad" 94335 94348 95233 95238) (-82 "ASP73.spad" 93606 93619 94325 94330) (-81 "ASP6.spad" 92473 92486 93596 93601) (-80 "ASP55.spad" 90982 90995 92463 92468) (-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 "ARR2CAT.spad" 49107 49130 53303 53308) (-55 "ARITY.spad" 48479 48486 49097 49102) (-54 "APPRULE.spad" 47739 47761 48469 48474) (-53 "APPLYORE.spad" 47358 47371 47729 47734) (-52 "ANY.spad" 46217 46224 47348 47353) (-51 "ANY1.spad" 45288 45297 46207 46212) (-50 "ANTISYM.spad" 43733 43749 45268 45283) (-49 "ANON.spad" 43426 43433 43723 43728) (-48 "AN.spad" 41735 41742 43242 43335) (-47 "AMR.spad" 39920 39931 41633 41730) (-46 "AMR.spad" 37942 37955 39657 39662) (-45 "ALIST.spad" 34842 34863 35192 35219) (-44 "ALGSC.spad" 33977 34003 34714 34767) (-43 "ALGPKG.spad" 29760 29771 33933 33938) (-42 "ALGMFACT.spad" 28953 28967 29750 29755) (-41 "ALGMANIP.spad" 26427 26442 28786 28791) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) \ No newline at end of file
diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase
index 7682a5a2..0cfff43c 100644
--- a/src/share/algebra/category.daase
+++ b/src/share/algebra/category.daase
@@ -1,15 +1,15 @@
-(205732 . 3488491124)
-(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) #0#) |has| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (-320 (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)))))
-((((-577)) . T) (($) -2867 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-1068 (-420 (-577))))) ((|#1|) . T))
+(205732 . 3488813779)
+(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) #0#) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))))
+((((-577)) . T) (($) -2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-1068 (-420 (-577))))) ((|#1|) . T))
(((|#2| |#2|) . T))
((((-577)) . T))
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((($) . T))
(((|#1|) . T))
((($) . T) (((-577)) |has| |#1| (-659 (-577))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#2|) . T))
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+((($) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))))
(|has| |#1| (-937))
((((-885)) . T))
((((-885)) . T))
@@ -23,23 +23,23 @@
((((-549)) . T) (((-1188)) . T) (((-228)) . T) (((-391)) . T) (((-916 (-391))) . T))
(((|#1|) . T))
((((-228)) . T) (((-885)) . T))
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(((|#1|) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
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-(-2867 (|has| |#1| (-841)) (|has| |#1| (-870)))
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+((($ $) . T) ((#0=(-420 (-577)) #0#) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1| |#1|) . T))
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((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) |has| |#1| (-1068 (-577))) ((|#1|) . T))
((((-885)) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
(|has| |#1| (-869))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((((-327 |#1|)) . T) (((-577)) . T) (($) . T))
(((|#1| |#2| |#3|) . T))
((((-577)) . T) (((-893 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
-((($) . T) (((-420 (-577))) -2867 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
+((($) . T) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
((((-420 (-577))) . T) (((-720)) . T) (($) . T))
((((-885)) . T))
((((-1211)) . T))
@@ -52,14 +52,14 @@
(((|#1|) . T) ((|#2|) . T))
((((-1211)) . T))
(((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
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-(((|#2| (-495 (-3600 |#1|) (-792))) . T))
-((((-1206)) -2867 (|has| (-420 |#2|) (-926 (-1206))) (|has| (-420 |#2|) (-928 (-1206)))))
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+(((|#2| (-495 (-3521 |#1|) (-792))) . T))
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(((|#1| (-544 (-1206))) . T))
((((-1188)) . T) (((-986 (-130))) . T) (((-885)) . T))
((((-885)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((#0=(-893 |#1|) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T))
(|has| |#4| (-380))
(|has| |#3| (-380))
@@ -75,14 +75,14 @@
(|has| |#1| (-146))
(|has| |#1| (-148))
(|has| |#1| (-569))
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-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
-((((-2 (|:| -3354 |#1|) (|:| -2328 |#2|))) . T))
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+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
+((((-2 (|:| -3266 |#1|) (|:| -2099 |#2|))) . T))
((($) . T))
((((-885)) |has| |#1| (-631 (-885))) ((|#1|) . T))
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-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-577)) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) ((|#1|) . T) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) (((-1206)) . T))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-549)) |has| |#1| (-632 (-549))))
((((-1206)) . T))
(((|#1|) . T))
@@ -103,12 +103,12 @@
((((-885)) . T))
(((|#1| |#2|) . T))
(((|#1|) . T))
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+(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
(|has| |#1| (-1130))
(((|#1|) . T))
((((-117 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
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(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
((((-117 |#1|)) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
@@ -116,14 +116,14 @@
((((-420 (-577))) . T) (($) . T) (((-577)) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T))
(((|#2|) . T) (((-577)) . T) ((|#6|) . T))
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+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
((($) . T))
((($) . T))
(((|#2|) . T))
(((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T) (($) . T))
((((-577)) . T) (($) . T) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
-(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
((($ $) . T))
((($) . T))
((((-577)) . T) (($) . T) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
@@ -132,30 +132,30 @@
(|has| |#1| (-380))
(((|#1|) . T))
((((-885)) . T))
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+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) (($) . T) ((|#1|) . T))
(((|#1|) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
-(((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+(((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T))
(((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (($) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
((((-577)) . T))
((((-885)) . T))
(((|#1| |#2|) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
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-((($) -2867 (|has| |#1| (-239)) (|has| |#1| (-238))))
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(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(|has| |#1| (-569))
(((|#1|) . T) (((-577)) . T) (($) . T))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-869)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-869)))
((($ $) . T) ((#0=(-420 (-577)) #0#) . T))
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-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
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+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
(|has| |#1| (-1130))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
(|has| |#1| (-1130))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
(|has| |#1| (-869))
(((|#1| |#1|) . T))
((($) . T) (((-420 (-577))) . T))
@@ -170,12 +170,12 @@
(|has| |#3| (-814))
(|has| |#3| (-814))
(((|#1| |#2|) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
((((-1211)) . T))
(((|#1| |#2|) . T))
(((|#2| |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) (((-1206) |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-527 (-1206) |#2|))))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
((((-577)) . T) (((-420 (-577))) . T))
(((|#1| (-1206) (-1118 (-1206)) (-544 (-1118 (-1206)))) . T))
((((-577) |#1|) . T))
@@ -195,29 +195,29 @@
((((-1188) |#1|) . T))
((((-1264 (-577)) $) . T) (((-577) (-130)) . T))
(((|#1|) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
(((|#3| (-792)) . T))
(|has| |#1| (-148))
(|has| |#1| (-146))
((($) . T) (((-420 (-577))) . T))
((($) . T))
((($) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
((((-420 (-577))) . T) (($) . T))
((($) . T))
((($) . T))
(|has| |#1| (-1130))
((((-420 (-577))) . T) (((-577)) . T))
((((-577)) . T) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
-((((-577)) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) ((|#1|) . T) (($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#2|) . T))
+((((-577)) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) ((|#1|) . T) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#2|) . T))
((((-1206) |#2|) |has| |#2| (-527 (-1206) |#2|)) ((|#2| |#2|) |has| |#2| (-320 |#2|)))
((((-420 (-577))) . T) (((-577)) . T))
-((((-577)) . T) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) (((-1112)) . T) ((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))))
+((((-577)) . T) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) (((-1112)) . T) ((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))))
(((|#1|) . T) (($) . T))
((((-577)) . T))
((((-577)) . T))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174)))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174)))
((((-577)) . T))
((((-577)) . T))
((((-420 (-577))) . T) (($) . T))
@@ -228,7 +228,7 @@
(((|#1|) . T))
(|has| |#2| (-375))
((((-1264 (-577)) $) . T) (((-577) |#1|) . T))
-((($) -2867 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238))))
+((($) -2816 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238))))
((($) . T) (((-577)) . T) (((-420 (-577))) . T))
(((|#1| |#2|) . T))
((((-885)) . T))
@@ -241,13 +241,13 @@
((((-885)) . T))
((((-885)) . T))
(((|#1| |#1|) . T))
-(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
(((|#1|) . T))
(((|#1|) . T))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))) (($) |has| |#2| (-1079)) (((-577)) -12 (|has| |#2| (-659 (-577))) (|has| |#2| (-1079))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))) (($) |has| |#2| (-1079)) (((-577)) -12 (|has| |#2| (-659 (-577))) (|has| |#2| (-1079))))
((((-885)) . T))
((((-885)) . T))
((((-885)) . T))
@@ -258,10 +258,10 @@
((((-171 (-228))) |has| |#1| (-1052)) (((-171 (-391))) |has| |#1| (-1052)) (((-549)) |has| |#1| (-632 (-549))) (((-1202 |#1|)) . T) (((-916 (-577))) |has| |#1| (-632 (-916 (-577)))) (((-916 (-391))) |has| |#1| (-632 (-916 (-391)))))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1|) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-869)))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-869)))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#2|) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
-(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-869)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-869)))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#2|) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
+(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
(|has| |#1| (-375))
((((-885)) . T))
((($) . T))
@@ -269,7 +269,7 @@
((((-130)) . T))
(-12 (|has| |#4| (-239)) (|has| |#4| (-1079)))
(-12 (|has| |#3| (-239)) (|has| |#3| (-1079)))
-((($) -2867 (|has| |#2| (-239)) (|has| |#2| (-238))))
+((($) -2816 (|has| |#2| (-239)) (|has| |#2| (-238))))
(|has| |#4| (-1079))
(|has| |#3| (-1079))
((((-885)) . T) (((-1211)) . T))
@@ -280,45 +280,45 @@
(((|#1|) . T))
((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) |has| |#1| (-1068 (-577))) ((|#1|) . T))
(((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
-(((|#2|) . T) (((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
-(((|#1|) . T) (((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
+(((|#2|) . T) (((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+(((|#1|) . T) (((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
(|has| |#1| (-569))
-((((-577)) -2867 (-12 (|has| |#4| (-1068 (-577))) (|has| |#4| (-1130))) (|has| |#4| (-1079))) ((|#4|) |has| |#4| (-1130)) (((-420 (-577))) -12 (|has| |#4| (-1068 (-420 (-577)))) (|has| |#4| (-1130))))
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(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(|has| |#1| (-569))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
(((|#1|) . T))
(|has| |#1| (-569))
((((-887 |#1|)) . T))
(|has| |#1| (-569))
(|has| |#1| (-569))
(((|#2|) . T))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-1112)) . T))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-1112)) . T))
((((-720)) . T))
(((|#1|) . T))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-1118 (-1206))) . T))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-1118 (-1206))) . T))
(-12 (|has| |#1| (-1032)) (|has| |#1| (-1232)))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T))
(((|#2|) . T) (($) . T) (((-420 (-577))) . T))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T))
(-12 (|has| |#1| (-1130)) (|has| |#2| (-1130)))
((($) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T))
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-(((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) (($) . T) ((|#1|) . T))
+(((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T))
(((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (($) . T))
-(((|#4| |#4|) -2867 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1079))))
-(((|#3| |#3|) -2867 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1079))))
+(((|#4| |#4|) -2816 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1079))))
+(((|#3| |#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1079))))
(((|#2|) . T))
(((|#1|) . T))
((((-549)) |has| |#2| (-632 (-549))) (((-916 (-391))) |has| |#2| (-632 (-916 (-391)))) (((-916 (-577))) |has| |#2| (-632 (-916 (-577)))))
((((-885)) . T))
(((|#1| |#2| |#3| |#4|) . T))
-((((-2 (|:| -3354 |#1|) (|:| -2328 |#2|))) . T) (((-885)) . T))
+((((-2 (|:| -3266 |#1|) (|:| -2099 |#2|))) . T) (((-885)) . T))
((((-549)) |has| |#1| (-632 (-549))) (((-916 (-391))) |has| |#1| (-632 (-916 (-391)))) (((-916 (-577))) |has| |#1| (-632 (-916 (-577)))))
-(((|#4|) -2867 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1079))))
-(((|#3|) -2867 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1079))))
-((((-2 (|:| -3354 |#1|) (|:| -2328 |#2|))) . T))
+(((|#4|) -2816 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1079))))
+(((|#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1079))))
+((((-2 (|:| -3266 |#1|) (|:| -2099 |#2|))) . T))
((((-885)) . T))
((((-885)) . T))
((((-549)) . T) (((-577)) . T) (((-916 (-577))) . T) (((-391)) . T) (((-228)) . T))
@@ -326,15 +326,15 @@
(((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
((($) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
((((-420 $) (-420 $)) |has| |#2| (-569)) (($ $) . T) ((|#2| |#2|) . T))
-((($ (-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 (-52)))) . T))
+((($ (-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 (-52)))) . T))
(((|#1|) . T))
(|has| |#2| (-937))
((((-1188) (-52)) . T))
((((-577)) |has| #0=(-420 |#2|) (-659 (-577))) ((#0#) . T))
((((-549)) . T) (((-228)) . T) (((-391)) . T) (((-916 (-391))) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
(((|#1|) |has| |#1| (-174)))
(((|#1| $) |has| |#1| (-297 |#1| |#1|)))
((((-885)) . T))
@@ -349,15 +349,15 @@
(|has| |#1| (-1130))
((((-938 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
(((|#1|) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-549)) |has| |#1| (-632 (-549))))
((((-885)) . T) (((-1211)) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
((((-1211)) . T))
-((($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| |#1| (-239))
-((($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#1| (-544 (-839 (-1206)))) . T))
(((|#1| (-1001)) . T))
((((-577)) . T) ((|#2|) . T))
@@ -369,7 +369,7 @@
(((|#1|) . T))
(((|#2| |#2|) . T))
(|has| |#1| (-1182))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
(|has| (-1283 |#1| |#2| |#3| |#4|) (-146))
(|has| (-1283 |#1| |#2| |#3| |#4|) (-148))
(|has| |#1| (-146))
@@ -381,28 +381,28 @@
(((|#2|) . T))
(((|#1|) . T))
(((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
-((((-1155 |#1| (-1206))) . T) (((-577)) . T) (((-839 (-1206))) . T) (($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-1206)) . T))
+((((-1155 |#1| (-1206))) . T) (((-577)) . T) (((-839 (-1206))) . T) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-1206)) . T))
(|has| |#2| (-380))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((($) . T) ((|#1|) . T))
(((|#2|) |has| |#2| (-1079)))
((((-885)) . T))
(|has| |#1| (-869))
-(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) #0#) |has| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (-320 (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)))))
+(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) #0#) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))))
(((|#1|) . T))
-((((-1297 (-351 (-3722) (-3722 (QUOTE X)) (-720)))) . T))
-(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) ((#0=(-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) #0#) |has| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (-320 (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)))))
+((((-1297 (-351 (-3640) (-3640 (QUOTE X)) (-720)))) . T))
+(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) ((#0=(-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) #0#) |has| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (-320 (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)))))
((((-885)) . T))
((((-577) |#1|) . T))
((((-549)) -12 (|has| |#1| (-632 (-549))) (|has| |#2| (-632 (-549)))) (((-916 (-391))) -12 (|has| |#1| (-632 (-916 (-391)))) (|has| |#2| (-632 (-916 (-391))))) (((-916 (-577))) -12 (|has| |#1| (-632 (-916 (-577)))) (|has| |#2| (-632 (-916 (-577))))))
((($) . T))
((((-885)) . T))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
((((-885)) . T))
((($) . T))
((($) . T))
((($) . T))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
((((-885)) . T))
((((-885)) . T))
(|has| (-1282 |#2| |#3| |#4|) (-148))
@@ -415,18 +415,18 @@
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
(((|#1|) . T))
((($) . T))
((((-577) |#1|) . T))
(((|#2|) |has| |#2| (-174)))
(((|#1|) . T))
(((|#1|) |has| |#1| (-174)))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-869)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-869)))
((((-885)) |has| |#1| (-1130)))
-((($) -2867 (|has| |#1| (-239)) (|has| |#1| (-238))))
-(-2867 (|has| |#1| (-486)) (|has| |#1| (-747)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)) (|has| |#1| (-1142)))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
+((($) -2816 (|has| |#1| (-239)) (|has| |#1| (-238))))
+(-2816 (|has| |#1| (-486)) (|has| |#1| (-747)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)) (|has| |#1| (-1142)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
((((-938 |#1|)) . T))
((((-420 |#2|) |#3|) . T))
(|has| |#1| (-15 * (|#1| (-577) |#1|)))
@@ -437,7 +437,7 @@
((((-885)) . T))
((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
(|has| |#1| (-375))
-(-2867 (-12 (|has| (-1289 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|))))
+(-2816 (-12 (|has| (-1289 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|))))
(|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))
(|has| |#1| (-375))
(|has| |#1| (-15 * (|#1| (-792) |#1|)))
@@ -451,23 +451,23 @@
((((-1264 (-577)) $) . T) (((-577) |#1|) . T))
((((-885)) . T))
(((|#2|) . T))
-(-2867 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
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((((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
((($) |has| |#1| (-569)) (((-577)) . T))
(|has| |#2| (-814))
(|has| |#2| (-814))
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-((((-1293 |#2|)) . T) (((-1289 |#1| |#2| |#3|)) . T) (((-1261 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))))
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+((((-1293 |#2|)) . T) (((-1289 |#1| |#2| |#3|)) . T) (((-1261 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T))
(((|#1|) . T))
((((-1206)) -12 (|has| |#3| (-926 (-1206))) (|has| |#3| (-1079))))
(((|#1|) . T))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(-12 (|has| |#1| (-375)) (|has| |#2| (-841)))
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-(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))))
+(-2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569)))
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((($ $) |has| |#1| (-569)) ((|#1| |#1|) . T))
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(((#0=(-720) (-1202 #0#)) . T))
((((-594 |#1|)) . T) (((-420 (-577))) . T) (($) . T))
((((-420 (-577))) . T) (($) . T))
@@ -475,18 +475,18 @@
((((-885)) . T) (((-1297 |#3|)) . T))
((((-594 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
((($) . T) (((-420 (-577))) . T))
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+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))))
((($) |has| |#1| (-569)) ((|#1|) . T))
((((-885)) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) . T))
((($) . T))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((#1=(-1289 |#1| |#2| |#3|) #1#) |has| |#1| (-375)) ((|#1| |#1|) . T))
-(((|#1| |#1|) . T) (($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
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+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((#1=(-1289 |#1| |#2| |#3|) #1#) |has| |#1| (-375)) ((|#1| |#1|) . T))
+(((|#1| |#1|) . T) (($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
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+(((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
(((|#3|) |has| |#3| (-1079)))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
(|has| (-1124 |#1|) (-1130))
(((|#2| (-840 |#1|)) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T))
@@ -494,20 +494,20 @@
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
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(((|#2|) . T) ((|#6|) . T))
(|has| |#1| (-375))
((((-577)) . T) ((|#2|) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
(((|#2|) . T) ((|#6|) . T))
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-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
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+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#1|) . T))
-((($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
((((-420 $) (-420 $)) |has| |#1| (-569)) (($ $) . T) ((|#1| |#1|) . T))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((#0=(-1112) |#2|) . T) ((#0# $) . T) (($ $) . T))
((((-885)) . T))
((((-938 |#1|)) . T))
@@ -516,22 +516,22 @@
((((-246 |#1| |#2|) |#2|) . T))
((((-885)) . T))
(((|#3|) |has| |#3| (-1130)) (((-577)) -12 (|has| |#3| (-1068 (-577))) (|has| |#3| (-1130))) (((-420 (-577))) -12 (|has| |#3| (-1068 (-420 (-577)))) (|has| |#3| (-1130))))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1|) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-549)) |has| |#1| (-632 (-549))))
(((|#1|) |has| |#1| (-174)))
-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) . T))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) . T))
(|has| |#1| (-375))
((((-1211)) . T))
(((|#1|) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-869)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-869)))
((($) . T))
((((-1206) |#1|) |has| |#1| (-527 (-1206) |#1|)) ((|#1| |#1|) |has| |#1| (-320 |#1|)))
(|has| |#2| (-841))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-869))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1| |#2|) . T))
(((|#1| |#2| |#3| (-544 |#3|)) . T))
((((-885)) . T))
@@ -540,15 +540,15 @@
(|has| |#1| (-380))
((((-420 (-577))) . T))
(((|#1|) . T))
-(-2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+(-2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
((((-420 (-577))) . T))
((((-1188) |#1|) . T))
(|has| |#1| (-380))
((((-577)) . T))
((((-577)) . T))
(((|#1|) . T) (((-577)) . T))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
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+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
((((-885)) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
((((-1206)) -12 (|has| |#1| (-375)) (|has| |#1| (-926 (-1206)))))
@@ -562,12 +562,12 @@
((((-577) |#3|) . T))
(((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
(|has| |#2| (-1079))
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-(-2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+(-2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
((((-885)) . T))
((((-1283 |#1| |#2| |#3| |#4|)) . T))
((((-420 (-577))) . T) (((-577)) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
(((|#1| |#1|) . T))
(((|#1|) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
@@ -576,9 +576,9 @@
((($) . T) (((-577)) . T) (((-420 (-577))) . T))
((((-577)) . T))
((((-577)) . T))
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+((($) . T) (((-577)) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) . T))
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(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
@@ -595,7 +595,7 @@
((((-885)) . T))
((((-577)) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))))
((((-885)) . T))
((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
((((-577) |#1|) . T))
@@ -604,92 +604,92 @@
((($) . T))
((($ $) . T) ((#0=(-1206) $) . T) ((#0# |#1|) . T))
(((|#2|) |has| |#2| (-174)))
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-(((|#2| |#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
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+(((|#2| |#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
((((-145)) . T))
(((|#1|) . T))
(-12 (|has| |#1| (-380)) (|has| |#2| (-380)))
((((-885)) . T))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
(((|#1|) . T))
((((-885)) . T))
(|has| |#1| (-1130))
(|has| $ (-148))
((((-1211)) . T))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2|) |has| |#1| (-375)) (((-577)) . T) (($) . T) ((|#1|) . T))
-(((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T))
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+(((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T))
((((-1264 (-577)) $) . T) (((-577) |#1|) . T))
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+((($) -2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
(|has| |#1| (-375))
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(|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))
(|has| |#1| (-375))
(|has| |#1| (-15 * (|#1| (-792) |#1|)))
(((|#1|) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
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((($) . T) (((-577)) . T) ((|#2|) . T))
(((|#1|) |has| |#1| (-174)) (($) . T) (((-577)) . T))
(((|#2|) |has| |#1| (-375)))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1| |#1|) . T) (($ $) . T))
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(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((((-1211)) . T))
((((-420 (-577))) . T) (((-577)) . T) (($) . T))
@@ -812,26 +812,26 @@
(((|#1|) . T) (($) . T))
((((-577)) . T))
(((#0=(-420 (-980 |#1|)) #0#) . T))
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((((-549)) |has| |#1| (-632 (-549))))
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+(-2816 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
((((-885)) . T) (((-1211)) . T))
((((-1211)) . T))
(((|#1| |#1|) |has| |#1| (-174)))
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(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((((-420 (-980 |#1|))) . T))
(((|#1|) . T))
(((|#1|) . T) (((-577)) . T) (($) . T))
(((|#1|) |has| |#1| (-174)))
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-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+((((-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
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((((-885)) . T))
((((-885)) . T))
((((-1283 |#1| |#2| |#3| |#4|)) . T))
@@ -840,8 +840,8 @@
(|has| |#3| (-1079))
(|has| |#3| (-814))
(|has| |#3| (-814))
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+(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
(((|#2|) . T))
((((-885)) . T))
((((-885)) . T))
@@ -855,37 +855,37 @@
((((-420 (-577))) . T) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((($) . T) (((-420 (-577))) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
(((|#2|) . T))
((((-549)) |has| |#2| (-632 (-549))) (((-916 (-391))) |has| |#2| (-632 (-916 (-391)))) (((-916 (-577))) |has| |#2| (-632 (-916 (-577)))))
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-(((|#3|) -2867 (|has| |#3| (-174)) (|has| |#3| (-375))))
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+(((|#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375))))
((((-885)) . T))
(((|#1|) . T))
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(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
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(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#2|) . T))
(((|#2|) . T))
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((($ $) . T) ((#0=(-1206) $) |has| |#1| (-239)) ((#0# |#1|) |has| |#1| (-239)) ((#1=(-839 (-1206)) |#1|) . T) ((#1# $) . T))
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+(-2816 (|has| |#1| (-465)) (|has| |#1| (-937)))
((((-577) |#2|) . T))
((((-885)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
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((((-577) |#1|) . T))
(|has| (-420 |#2|) (-148))
(|has| (-420 |#2|) (-146))
@@ -898,15 +898,15 @@
(|has| |#1| (-569))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((((-885)) . T))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
(|has| |#1| (-38 (-420 (-577))))
-((((-401) (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
+((((-401) (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#2| (-1182))
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((((-885)) . T) (((-1211)) . T))
((((-885)) . T) (((-1211)) . T))
((((-1211)) . T))
@@ -924,7 +924,7 @@
((((-401) (-1188)) . T))
(|has| |#1| (-569))
((((-1264 (-577)) $) . T) (((-577) |#1|) . T))
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((((-577)) . T) (($) . T) (((-420 (-577))) . T))
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
(((|#2|) . T))
@@ -942,7 +942,7 @@
((((-665 |#1|)) . T))
((((-885)) . T))
((((-549)) |has| |#1| (-632 (-549))))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
(((|#2|) |has| |#2| (-320 |#2|)))
(((#0=(-577) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T))
(((|#1|) . T))
@@ -953,14 +953,14 @@
((($) . T) (((-577)) . T) (((-420 (-577))) . T))
(|has| |#2| (-380))
(((#0=(-577) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T))
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(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
((((-577)) . T) (((-420 (-577))) . T) (($) . T))
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(((|#1| |#2|) . T))
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+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1|) . T))
((((-577)) . T) (((-420 (-577))) . T) (($) . T))
(((|#1| |#2|) . T))
((((-885)) . T))
@@ -968,8 +968,8 @@
((((-885)) . T))
((((-885)) . T))
((((-549)) |has| |#1| (-632 (-549))))
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-((($) . T) (((-420 (-577))) -2867 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((($) . T) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
((((-885)) . T))
((((-1204 |#1| |#2| |#3|) $) -12 (|has| (-1204 |#1| |#2| |#3|) (-297 (-1204 |#1| |#2| |#3|) (-1204 |#1| |#2| |#3|))) (|has| |#1| (-375))) (($ $) . T) (((-577) |#1|) . T))
((($ $) . T) (((-420 (-577)) |#1|) . T))
@@ -981,7 +981,7 @@
(((|#1|) . T))
(((|#1|) . T))
((((-577)) . T) (($) . T))
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((($) . T) (((-577)) . T) ((|#2|) . T))
((((-577)) . T) (($) . T) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))))
((((-420 (-577))) . T) (((-577)) . T))
@@ -990,29 +990,29 @@
(((|#1|) . T))
((((-112)) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
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((((-112)) . T))
((((-549)) |has| |#1| (-632 (-549))) (((-228)) . #0=(|has| |#1| (-1052))) (((-391)) . #0#))
((((-885)) . T))
(((|#1|) . T))
((((-1211)) . T))
(|has| |#1| (-841))
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(|has| |#1| (-569))
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-((($) . T) (((-577)) . T) (((-420 (-577))) -2867 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
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+((($) . T) (((-577)) . T) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) ((|#1|) . T) (((-577)) . T))
(|has| |#1| (-937))
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(((|#1|) . T))
(|has| |#1| (-1130))
((((-885)) . T))
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((((-885)) . T))
((((-885)) . T))
((((-885)) . T))
@@ -1025,7 +1025,7 @@
((((-1211)) . T) (((-885)) . T))
((((-1211)) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
(((|#1| (-1001)) . T))
(((|#1| |#1|) . T))
((($) . T))
@@ -1041,23 +1041,23 @@
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(-12 (|has| |#1| (-814)) (|has| |#2| (-814)))
(-12 (|has| |#1| (-814)) (|has| |#2| (-814)))
-(-2867 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-747)) (|has| |#2| (-747))))
+(-2816 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-747)) (|has| |#2| (-747))))
(((|#1| |#2|) . T))
(((|#1|) |has| |#1| (-174)) ((|#4|) . T) (((-577)) . T))
(((|#2|) |has| |#2| (-174)))
(((|#1|) |has| |#1| (-174)))
((((-885)) . T))
-(-2867 (|has| |#1| (-239)) (|has| |#1| (-238)))
+(-2816 (|has| |#1| (-239)) (|has| |#1| (-238)))
(|has| |#1| (-361))
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
((((-420 (-577))) . T) (($) . T))
(((|#2|) . T) (($) . T) (((-420 (-577))) . T))
-((($) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T))
+((($) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T))
(|has| |#1| (-849))
((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) |has| |#1| (-1068 (-577))) ((|#1|) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
(((|#1| $) |has| |#1| (-297 |#1| |#1|)))
((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
((($) |has| |#1| (-569)))
@@ -1065,49 +1065,49 @@
(((|#4|) |has| |#4| (-1130)))
(((|#3|) |has| |#3| (-1130)))
(|has| |#3| (-380))
-((($) |has| |#1| (-569)) ((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-577)) . T))
+((($) |has| |#1| (-569)) ((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-577)) . T))
((((-885)) . T))
(((|#1| |#2|) . T))
((((-885)) . T))
(|has| |#1| (-870))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
(((|#2|) . T))
(|has| |#2| (-375))
((((-420 (-577))) . T) (((-577)) . T))
-((($) -2867 (|has| |#2| (-239)) (|has| |#2| (-238))))
+((($) -2816 (|has| |#2| (-239)) (|has| |#2| (-238))))
((($ (-887 |#1|)) . T))
-((($ (-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ |#3|) . T))
+((($ (-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ |#3|) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T))
(((|#1|) . T))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
(((|#2|) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T))
-(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))))
+(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
((($) . T) (((-577)) . T))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#1|) |has| |#1| (-174)))
(((|#1| |#1|) |has| |#1| (-174)))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
((((-145)) . T))
(((|#1|) . T))
(((|#1|) . T))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))) (($) |has| |#2| (-1079)) (((-577)) -12 (|has| |#2| (-659 (-577))) (|has| |#2| (-1079))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))) (($) |has| |#2| (-1079)) (((-577)) -12 (|has| |#2| (-659 (-577))) (|has| |#2| (-1079))))
((((-145)) . T))
((((-145)) . T))
((((-420 (-577))) . #0=(|has| |#2| (-375))) (($) . #0#) ((|#2|) . T) (((-577)) . T))
(((|#1| |#2| |#3|) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1079)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1079)))
(((|#1|) |has| |#1| (-174)))
(|has| $ (-148))
(|has| $ (-148))
((((-1211)) . T))
(((|#1|) |has| |#1| (-174)))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
((((-885)) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-486)) (|has| |#1| (-569)) (|has| |#1| (-1079)) (|has| |#1| (-1142)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-486)) (|has| |#1| (-569)) (|has| |#1| (-1079)) (|has| |#1| (-1142)))
((($ $) |has| |#1| (-297 $ $)) ((|#1| $) |has| |#1| (-297 |#1| |#1|)))
(((|#1| (-420 (-577))) . T))
(((|#1|) . T))
@@ -1116,8 +1116,8 @@
(((|#1|) . T))
((((-1206)) . T))
(|has| |#1| (-569))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
(|has| |#1| (-569))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
@@ -1129,7 +1129,7 @@
(|has| |#1| (-148))
(|has| |#1| (-146))
(|has| |#1| (-148))
-(((|#2| (-246 (-3600 |#1|) (-792)) (-887 |#1|)) . T))
+(((|#2| (-246 (-3521 |#1|) (-792)) (-887 |#1|)) . T))
(((|#1| (-544 |#3|) |#3|) . T))
(|has| |#1| (-146))
(((#0=(-420 (-577)) #0#) |has| |#2| (-375)) (($ $) . T))
@@ -1143,12 +1143,12 @@
(|has| |#1| (-146))
((((-420 (-577))) |has| |#2| (-375)) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
-(-2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
-(-2867 (|has| |#1| (-361)) (|has| |#1| (-380)))
+(-2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+(-2816 (|has| |#1| (-361)) (|has| |#1| (-380)))
((((-1172 |#2| |#1|)) . T) ((|#1|) . T))
(((|#1| |#2|) . T))
(-12 (|has| |#2| (-239)) (|has| |#2| (-1079)))
-(((|#2|) . T) (((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+(((|#2|) . T) (((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(|has| |#3| (-814))
(|has| |#3| (-814))
((((-885)) . T))
@@ -1176,18 +1176,18 @@
((((-885)) . T))
((((-885)) . T))
(((|#1| |#2|) . T))
-((((-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))) (((-1112)) . T))
+((((-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))) (((-1112)) . T))
(((|#1|) . T))
(((|#3|) . T) (((-630 $)) . T))
(((|#1| (-420 (-577))) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1| |#2|) . T))
(((|#1|) . T) (($) . T))
(((|#1|) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((($ (-1293 |#2|)) . T) (($ (-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
-((((-577)) -2867 (-12 (|has| |#2| (-1068 (-577))) (|has| |#2| (-1130))) (|has| |#2| (-1079))) ((|#2|) |has| |#2| (-1130)) (((-420 (-577))) -12 (|has| |#2| (-1068 (-420 (-577)))) (|has| |#2| (-1130))))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+((((-577)) -2816 (-12 (|has| |#2| (-1068 (-577))) (|has| |#2| (-1130))) (|has| |#2| (-1079))) ((|#2|) |has| |#2| (-1130)) (((-420 (-577))) -12 (|has| |#2| (-1068 (-420 (-577)))) (|has| |#2| (-1130))))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
((($ $) . T) ((|#2| $) . T))
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
@@ -1195,15 +1195,15 @@
((((-885)) . T))
((((-885)) . T))
(((|#1| |#1|) . T))
-(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) (((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) |has| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (-320 (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)))))
-(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) (((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) |has| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (-320 (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)))))
+(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) (((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))))
+(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) (((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) |has| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (-320 (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)))))
((((-885)) . T))
(((|#1|) . T))
(((|#3| |#3|) . T))
(((|#1|) . T))
((($) . T) ((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
((((-1206) (-52)) . T))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
(((|#3|) . T))
((($ $) . T) ((#0=(-887 |#1|) $) . T) ((#0# |#2|) . T))
(|has| |#1| (-849))
@@ -1211,10 +1211,10 @@
((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T))
((((-577)) . T) (($) . T) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| (-1124 |#1|) (-1130))
-(((|#2| |#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375))))
-((((-577) (-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T) ((|#1| |#2|) . T))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
+(((|#2| |#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375))))
+((((-577) (-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T) ((|#1| |#2|) . T))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
((((-577)) . T))
((((-1211)) . T))
((((-792)) . T))
@@ -1233,34 +1233,34 @@
(((|#1|) . T))
((((-420 (-577))) . T) (($) . T))
((($) . T) (((-420 (-577))) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-569)))
((((-1211)) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
((((-577)) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-569)))
(|has| |#1| (-146))
((((-577)) . T))
(|has| |#1| (-148))
-((($ (-1206)) -2867 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-928 (-1206))))))
+((($ (-1206)) -2816 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-928 (-1206))))))
((($ (-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((((-916 (-577))) . T) (((-916 (-391))) . T) (((-549)) . T) (((-1206)) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
((((-885)) . T) (((-1211)) . T))
((((-1211)) . T))
((($) . T))
(((|#1|) . T))
((((-885)) . T))
-(-2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+(-2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
(((|#1|) . T) (($) . T))
(((|#2|) |has| |#2| (-174)))
-((($) -2867 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) ((|#2|) |has| |#2| (-174)) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) ((|#2|) |has| |#2| (-174)) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))))
((((-893 |#1|)) . T))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130)))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130)))
(-12 (|has| |#3| (-239)) (|has| |#3| (-1079)))
(|has| |#2| (-1182))
-(((#0=(-52)) . T) (((-2 (|:| -4376 (-1206)) (|:| -2727 #0#))) . T))
+(((#0=(-52)) . T) (((-2 (|:| -4375 (-1206)) (|:| -3988 #0#))) . T))
(((|#1| |#2|) . T))
(((|#1| (-656 |#2|)) . T))
(|has| |#3| (-1079))
@@ -1269,10 +1269,10 @@
(((|#1| (-577) (-1112)) . T))
(((|#1| (-420 (-577)) (-1112)) . T))
((((-1206)) . T))
-((($) -2867 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
-((($) -2867 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238))))
+((($) -2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
+((($) -2816 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238))))
((((-577) |#2|) . T))
-((($ (-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
+((($ (-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
(((|#1| |#2|) . T))
(((|#1| |#2|) . T))
(|has| |#2| (-380))
@@ -1280,46 +1280,46 @@
((((-885)) . T))
((((-1206) |#1|) |has| |#1| (-527 (-1206) |#1|)) ((|#1| |#1|) |has| |#1| (-320 |#1|)))
(-12 (|has| |#1| (-380)) (|has| |#2| (-380)))
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((((-885)) . T))
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((((-1211)) . T))
(((|#1|) |has| |#1| (-320 |#1|)))
@@ -1329,21 +1329,21 @@
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(((|#1| |#4|) . T))
(((|#1| |#3|) . T))
((($) . T))
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(((|#2|) . T) (((-885)) . T))
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(((|#2|) . T))
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((($) . T))
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@@ -1352,7 +1352,7 @@
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(((|#1| |#1|) . T))
(((#0=(-893 |#1|)) |has| #0# (-320 #0#)))
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@@ -1361,7 +1361,7 @@
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(((|#2|) . T) (($) . T))
(|has| |#1| (-1232))
(((#0=(-577) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T))
@@ -1375,7 +1375,7 @@
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(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
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@@ -1383,39 +1383,39 @@
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(((|#1|) . T))
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((((-885)) . T))
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((((-577)) |has| #0=(-420 |#2|) (-659 (-577))) ((#0#) . T))
((($) . T) (((-577)) . T))
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((((-420 (-577))) . T) (($) . T))
(((|#1|) . T))
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((((-885)) . T))
((((-938 |#1|)) . T))
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@@ -1423,11 +1423,11 @@
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(|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))
(|has| |#1| (-869))
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+((($) -2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
(|has| |#1| (-375))
(((|#1|) . T) (($) . T))
(|has| |#1| (-869))
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((((-1206)) |has| |#1| (-926 (-1206))))
(|has| |#1| (-869))
((((-519)) . T))
@@ -1443,7 +1443,7 @@
((((-549)) . T))
((((-885)) . T))
((($) . T))
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(((|#1|) . T))
(((|#2|) . T) (($) . T))
(((|#1|) |has| |#1| (-174)))
@@ -1453,22 +1453,22 @@
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#3|) . T))
(((|#1|) |has| |#1| (-174)))
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+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-577)) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174)))
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(((|#1|) . T))
(((|#1|) . T))
((((-549)) |has| |#1| (-632 (-549))) (((-916 (-391))) |has| |#1| (-632 (-916 (-391)))) (((-916 (-577))) |has| |#1| (-632 (-916 (-577)))))
((((-885)) . T))
((((-893 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
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((((-519)) . T))
((((-519)) . T))
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(|has| |#1| (-569))
(-12 (|has| |#2| (-239)) (|has| |#2| (-1079)))
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((((-893 |#1|)) . T) (((-420 (-577))) . T) (($) . T))
(|has| |#1| (-380))
(|has| |#1| (-380))
@@ -1477,7 +1477,7 @@
((((-1188) |#1|) . T))
(|has| |#1| (-1182))
((((-986 |#1|)) . T))
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+(((#0=(-420 (-577)) #0#) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1| |#1|) . T))
((((-420 (-577))) |has| |#1| (-1068 (-577))) (((-577)) |has| |#1| (-1068 (-577))) (((-1206)) |has| |#1| (-1068 (-1206))) ((|#1|) . T))
((($) . T))
((($) . T))
@@ -1485,7 +1485,7 @@
((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) |has| |#1| (-1068 (-577))) ((|#1|) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T))
((((-577)) |has| |#1| (-910 (-577))) (((-391)) |has| |#1| (-910 (-391))))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1|) . T))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T) (($) . T) (((-577)) . T))
((((-665 |#4|)) . T) (((-885)) . T))
@@ -1493,37 +1493,37 @@
((((-549)) |has| |#4| (-632 (-549))))
((((-885)) . T) (((-665 |#4|)) . T))
((($) |has| |#1| (-869)))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) (((-577)) . T) (($) . T) ((|#1|) . T))
-((((-577)) -2867 (-12 (|has| |#2| (-1068 (-577))) (|has| |#2| (-1130))) (|has| |#2| (-1079))) ((|#2|) |has| |#2| (-1130)) (((-420 (-577))) -12 (|has| |#2| (-1068 (-420 (-577)))) (|has| |#2| (-1130))))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) (((-577)) . T) (($) . T) ((|#1|) . T))
+((((-577)) -2816 (-12 (|has| |#2| (-1068 (-577))) (|has| |#2| (-1130))) (|has| |#2| (-1079))) ((|#2|) |has| |#2| (-1130)) (((-420 (-577))) -12 (|has| |#2| (-1068 (-420 (-577)))) (|has| |#2| (-1130))))
(((|#1|) . T))
(((|#1|) . T))
((((-665 |#4|)) . T) (((-885)) . T))
((((-549)) |has| |#4| (-632 (-549))))
(((|#1|) . T))
-(((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T))
+(((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T) (($) . T))
((((-1206)) |has| (-420 |#2|) (-926 (-1206))))
(((|#2|) . T))
-(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) #0#) |has| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (-320 (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)))))
+(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) #0#) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))))
((($) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
-((($) -2867 (|has| |#1| (-239)) (|has| |#1| (-238))))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((($) -2816 (|has| |#1| (-239)) (|has| |#1| (-238))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
((($) . T))
((($) . T))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
((($) . T))
((($) . T))
-((((-885)) -2867 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-631 (-885))) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-380)) (|has| |#3| (-747)) (|has| |#3| (-814)) (|has| |#3| (-870)) (|has| |#3| (-1079)) (|has| |#3| (-1130))) (((-1297 |#3|)) . T))
+((((-885)) -2816 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-631 (-885))) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-380)) (|has| |#3| (-747)) (|has| |#3| (-814)) (|has| |#3| (-870)) (|has| |#3| (-1079)) (|has| |#3| (-1130))) (((-1297 |#3|)) . T))
(((|#2|) . T))
((((-577) |#2|) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
-(((|#2| |#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(((|#2| |#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
(((|#2|) . T) (((-577)) . T))
((((-885)) . T))
((((-885)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T) ((|#2|) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T) ((|#2|) . T))
((((-885)) . T))
((((-885)) . T))
((((-1188) (-1206) (-577) (-228) (-885)) . T))
@@ -1559,9 +1559,9 @@
((((-420 (-577))) . T) (($) . T))
((((-885)) . T))
((((-549)) |has| |#1| (-632 (-549))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
((($) . T) (((-420 (-577))) . T))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))))
(|has| $ (-148))
((((-420 |#2|)) . T))
((((-420 (-577))) |has| #0=(-420 |#2|) (-1068 (-420 (-577)))) (((-577)) |has| #0# (-1068 (-577))) ((#0#) . T))
@@ -1570,11 +1570,11 @@
(|has| |#2| (-148))
(|has| |#1| (-148))
(|has| |#1| (-146))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
(|has| |#1| (-148))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
(|has| |#1| (-148))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
(|has| |#1| (-148))
(((|#1|) . T))
(|has| |#2| (-239))
@@ -1611,9 +1611,9 @@
((((-885)) . T))
((((-885)) . T))
((((-1029 |#1|)) . T) ((|#1|) . T))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-839 (-1206))) . T))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-839 (-1206))) . T))
((((-885)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((((-420 (-577))) . T) (((-420 |#1|)) . T) ((|#1|) . T) (($) . T))
(((|#1| (-1202 |#1|)) . T))
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
@@ -1622,8 +1622,8 @@
(((|#1|) . T) (((-577)) . T) (($) . T))
(((|#2|) . T))
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
((((-577) |#2|) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) . T))
@@ -1634,9 +1634,9 @@
((((-885)) . T))
(((|#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1130))))
(((|#3|) -12 (|has| |#3| (-320 |#3|)) (|has| |#3| (-1130))))
-(-2867 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (-12 (|has| |#1| (-375)) (|has| |#2| (-238))))
+(-2816 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (-12 (|has| |#1| (-375)) (|has| |#2| (-238))))
(|has| |#1| (-38 (-420 (-577))))
-(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) #0#) |has| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (-320 (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)))))
+(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) ((#0=(-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) #0#) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))))
(((|#2| |#2|) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#2| (-375))
@@ -1645,21 +1645,21 @@
(((|#2|) . T))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)))
(((|#1|) |has| |#1| (-174)))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| |#1| (-1130))
(|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))
(|has| |#1| (-38 (-420 (-577))))
((((-1188) (-52)) . T))
(((|#1|) . T))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((($ (-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))) (($ (-1112)) . T))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($ (-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))) (($ (-1112)) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
(((|#2|) |has| |#2| (-174)))
(((|#2|) . T))
-((((-577)) -2867 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))) ((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747)) (|has| |#2| (-1079))) (($) |has| |#2| (-1079)))
+((((-577)) -2816 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079))) ((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747)) (|has| |#2| (-1079))) (($) |has| |#2| (-1079)))
(((|#1|) . T))
((((-577) |#3|) . T))
((((-577) (-145)) . T))
@@ -1675,7 +1675,7 @@
((((-577)) . T) (($) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1|) . T))
-((($ (-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
+((($ (-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
(((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
((((-145)) . T))
((((-885)) . T))
@@ -1686,26 +1686,26 @@
(((|#1|) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1| |#2|) . T))
-(-2867 (|has| |#2| (-239)) (|has| |#2| (-238)))
+(-2816 (|has| |#2| (-239)) (|has| |#2| (-238)))
((((-577) (-145)) . T) (((-1264 (-577)) $) . T))
-(((#0=(-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) #0#) |has| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (-320 (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
-((($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+(((#0=(-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) #0#) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| |#1| (-870))
(((|#2| (-792) (-1112)) . T))
(((|#1| |#2|) . T))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206)))))
(|has| |#1| (-812))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-569)))
-((((-1206)) -2867 (-12 (|has| (-1289 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-928 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-569)))
+((((-1206)) -2816 (-12 (|has| (-1289 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-928 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-792) |#1|))) (|has| |#1| (-926 (-1206)))))
(((|#1|) |has| |#1| (-174)))
(((|#4|) . T))
(((|#4|) . T))
(((|#1| |#2|) . T))
-(-2867 (|has| |#1| (-148)) (-12 (|has| |#1| (-375)) (|has| |#2| (-148))))
+(-2816 (|has| |#1| (-148)) (-12 (|has| |#1| (-375)) (|has| |#2| (-148))))
(((|#4|) . T))
-(-2867 (|has| |#1| (-146)) (-12 (|has| |#1| (-375)) (|has| |#2| (-146))))
+(-2816 (|has| |#1| (-146)) (-12 (|has| |#1| (-375)) (|has| |#2| (-146))))
((((-1188) |#1|) . T))
(|has| |#1| (-146))
(|has| |#1| (-148))
@@ -1719,24 +1719,24 @@
(((|#3|) . T))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)))
((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) (((-577)) . T) (($) . T) ((|#1|) . T))
-(((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) (((-577)) . T) (($) . T) ((|#1|) . T))
+(((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
(((|#1|) . T))
(((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T) (($) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))) (((-986 |#1|)) . T))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))) (((-986 |#1|)) . T))
(|has| |#1| (-869))
(|has| |#1| (-869))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((((-986 |#1|)) . T))
-(((|#4|) -2867 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-747))))
-(((|#3|) -2867 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-747))))
+(((|#4|) -2816 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-747))))
+(((|#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-747))))
(|has| |#2| (-375))
(((|#1|) |has| |#1| (-174)))
-(((|#4|) -2867 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-747)) (|has| |#4| (-1079))))
-(((|#3|) -2867 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-747)) (|has| |#3| (-1079))))
+(((|#4|) -2816 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-747)) (|has| |#4| (-1079))))
+(((|#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-747)) (|has| |#3| (-1079))))
(((|#2|) |has| |#2| (-1079)))
(((|#2|) |has| |#2| (-1079)))
((((-1188) |#1|) . T))
@@ -1748,8 +1748,8 @@
((((-401) (-1188)) . T))
((($ (-1206)) . T))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((((-885)) -2867 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-631 (-885))) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130))) (((-1297 |#2|)) . T))
-(((#0=(-52)) . T) (((-2 (|:| -4376 (-1188)) (|:| -2727 #0#))) . T))
+((((-885)) -2816 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-631 (-885))) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130))) (((-1297 |#2|)) . T))
+(((#0=(-52)) . T) (((-2 (|:| -4375 (-1188)) (|:| -3988 #0#))) . T))
(((|#1|) . T))
((((-885)) . T))
(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
@@ -1758,7 +1758,7 @@
((((-577)) . T))
(|has| |#2| (-148))
(|has| |#1| (-486))
-(-2867 (|has| |#1| (-486)) (|has| |#1| (-747)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
+(-2816 (|has| |#1| (-486)) (|has| |#1| (-747)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
(|has| |#1| (-375))
((((-885)) . T))
(|has| |#1| (-38 (-420 (-577))))
@@ -1769,8 +1769,8 @@
(|has| |#1| (-869))
((((-885)) . T))
(((|#2|) . T))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
-(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
+(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#2|) . T) (((-577)) . T) (((-840 |#1|)) . T))
(((|#1| |#2|) . T))
@@ -1779,8 +1779,8 @@
((((-938 |#1|)) . T) (((-420 (-577))) . T) (($) . T))
((((-885)) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
-(((|#2| (-495 (-3600 |#1|) (-792)) (-887 |#1|)) . T))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(((|#2| (-495 (-3521 |#1|) (-792)) (-887 |#1|)) . T))
((((-420 (-577))) . #0=(|has| |#2| (-375))) (($) . #0#))
(((|#1| (-544 (-1206)) (-1206)) . T))
(((|#1|) . T))
@@ -1801,19 +1801,19 @@
(((|#2|) |has| |#2| (-174)))
(((|#1|) . T))
(((|#2|) . T))
-(((|#1|) . T) (((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+(((|#1|) . T) (((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#2|) . T))
-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) . T))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) . T))
((((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)))
((((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((((-1206) (-52)) . T))
((((-420 (-577)) |#1|) . T) (($ $) . T))
(((|#1| (-577)) . T))
((((-938 |#1|)) . T))
-(((|#1|) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1079))) (($) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079))))
-((((-1206)) -2867 (-12 (|has| |#2| (-926 (-1206))) (|has| |#2| (-1079))) (-12 (|has| |#2| (-928 (-1206))) (|has| |#2| (-1079)))))
+(((|#1|) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1079))) (($) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079))))
+((((-1206)) -2816 (-12 (|has| |#2| (-926 (-1206))) (|has| |#2| (-1079))) (-12 (|has| |#2| (-928 (-1206))) (|has| |#2| (-1079)))))
(((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
(|has| |#1| (-870))
(|has| |#1| (-870))
@@ -1834,15 +1834,15 @@
(((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1130))))
(((|#1|) |has| |#1| (-174)))
(((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1130))))
-(((|#3|) -2867 (|has| |#3| (-174)) (|has| |#3| (-375))))
-((($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-(-2867 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-937)))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+(((|#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+(-2816 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-937)))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
((($ |#2|) . T))
-((($ (-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ (-1112)) . T))
+((($ (-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ (-1112)) . T))
((($ $) . T) ((#0=(-420 (-577)) #0#) . T))
((((-577) |#2|) . T))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375))))
(|has| |#1| (-361))
(((|#3| |#3|) -12 (|has| |#3| (-320 |#3|)) (|has| |#3| (-1130))))
(((|#2|) . T) (((-577)) . T))
@@ -1851,7 +1851,7 @@
(|has| |#1| (-841))
(|has| |#1| (-841))
(((|#1|) . T))
-(-2867 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)))
(|has| |#1| (-869))
(|has| |#1| (-869))
(|has| |#1| (-869))
@@ -1860,14 +1860,14 @@
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((((-1206)) |has| |#1| (-926 (-1206))) (((-1112)) . T))
(((|#1|) . T))
(|has| |#1| (-869))
-(((#0=(-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) #0#) |has| (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))) (-320 (-2 (|:| -4376 (-1188)) (|:| -2727 (-52))))))
+(((#0=(-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) #0#) |has| (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))) (-320 (-2 (|:| -4375 (-1188)) (|:| -3988 (-52))))))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(|has| |#1| (-1130))
((((-885)) . T) (((-1211)) . T))
@@ -1891,14 +1891,14 @@
(((|#3|) . T))
(((|#1| (-792) (-1112)) . T))
((((-145)) . T))
-((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) -2867 (|has| |#1| (-869)) (|has| |#1| (-1068 (-577)))) ((|#1|) . T))
+((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) -2816 (|has| |#1| (-869)) (|has| |#1| (-1068 (-577)))) ((|#1|) . T))
(((|#1|) . T))
(((|#2|) . T))
((((-145)) . T))
-((((-1206)) -2867 (-12 (|has| (-1204 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| (-1204 |#1| |#2| |#3|) (-928 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
+((((-1206)) -2816 (-12 (|has| (-1204 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| (-1204 |#1| |#2| |#3|) (-928 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-792) |#1|))) (|has| |#1| (-926 (-1206)))))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130)))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130)))
(((|#1|) . T))
(|has| |#1| (-146))
(|has| |#1| (-148))
@@ -1917,31 +1917,31 @@
((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
((($) |has| |#1| (-569)))
(((|#2|) . T))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))))
((($) |has| |#1| (-569)) ((|#1|) . T))
((($) |has| |#1| (-869)))
((((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)))
(|has| |#1| (-937))
((((-1206)) . T))
((((-885)) . T))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) . T))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
-(((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
-(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) . T))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
+(((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
+(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((((-577) |#2|) . T))
-((($ (-1206)) -2867 (-12 (|has| |#4| (-926 (-1206))) (|has| |#4| (-1079))) (-12 (|has| |#4| (-928 (-1206))) (|has| |#4| (-1079)))))
-((($ (-1206)) -2867 (-12 (|has| |#3| (-926 (-1206))) (|has| |#3| (-1079))) (-12 (|has| |#3| (-928 (-1206))) (|has| |#3| (-1079)))))
-((($) -2867 (|has| |#1| (-239)) (|has| |#1| (-238))))
+((($ (-1206)) -2816 (-12 (|has| |#4| (-926 (-1206))) (|has| |#4| (-1079))) (-12 (|has| |#4| (-928 (-1206))) (|has| |#4| (-1079)))))
+((($ (-1206)) -2816 (-12 (|has| |#3| (-926 (-1206))) (|has| |#3| (-1079))) (-12 (|has| |#3| (-928 (-1206))) (|has| |#3| (-1079)))))
+((($) -2816 (|has| |#1| (-239)) (|has| |#1| (-238))))
((($) |has| |#1| (-380)))
((($) |has| |#1| (-380)))
((($) |has| |#1| (-380)))
(((|#1| |#2|) . T))
-(-2867 (|has| |#2| (-465)) (|has| |#2| (-937)))
-(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) ((#0=(-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) #0#) |has| (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)) (-320 (-2 (|:| -4376 (-1188)) (|:| -2727 |#1|)))))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-937)))
+(-2816 (|has| |#2| (-465)) (|has| |#2| (-937)))
+(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) ((#0=(-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) #0#) |has| (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)) (-320 (-2 (|:| -4375 (-1188)) (|:| -3988 |#1|)))))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-937)))
(((|#1|) . T))
(((|#1|) . T) (($) . T))
(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
@@ -1950,23 +1950,23 @@
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
-(((|#3|) -2867 (|has| |#3| (-174)) (|has| |#3| (-375))))
+(((|#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375))))
(|has| |#1| (-870))
(|has| |#1| (-569))
((((-594 |#1|)) . T))
((($) . T))
(((|#2|) . T))
-(-2867 (-12 (|has| |#1| (-375)) (|has| |#2| (-841))) (-12 (|has| |#1| (-375)) (|has| |#2| (-870))))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-841))) (-12 (|has| |#1| (-375)) (|has| |#2| (-870))))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
((((-938 |#1|)) . T))
(((|#1| (-509 |#1| |#3|) (-509 |#1| |#2|)) . T))
(((|#1| |#4| |#5|) . T))
(((|#1| (-792)) . T))
((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
-(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
+(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) . T))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) . T))
((((-577)) |has| #0=(-420 |#2|) (-659 (-577))) ((#0#) . T) (((-420 (-577))) . T) (($) . T))
((((-693 |#1|)) . T))
(((|#1| |#2| |#3| |#4|) . T))
@@ -1975,7 +1975,7 @@
((((-885)) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((((-885)) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
((((-1211)) . T))
((((-420 (-577))) . T) (($) . T) (((-420 |#1|)) . T) ((|#1|) . T) (((-577)) . T))
(((|#3|) . T) (((-577)) . T) (((-630 $)) . T))
@@ -1983,12 +1983,12 @@
((((-885)) . T))
((((-885)) . T))
(((|#2|) . T))
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(|has| |#2| (-1079))
((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) |has| |#1| (-1068 (-577))) ((|#1|) . T))
(|has| |#1| (-1232))
(|has| |#1| (-1232))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-102)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130)))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-102)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-747)) (|has| |#2| (-814)) (|has| |#2| (-870)) (|has| |#2| (-1079)) (|has| |#2| (-1130)))
(|has| |#1| (-1232))
(|has| |#1| (-1232))
((($) . T) (((-577)) . T) (((-420 (-577))) . T))
@@ -2007,16 +2007,16 @@
((((-1188) (-52)) . T))
(|has| |#1| (-1130))
(((|#1|) |has| |#1| (-174)) (($) . T))
-(-2867 (|has| |#2| (-841)) (|has| |#2| (-870)))
+(-2816 (|has| |#2| (-841)) (|has| |#2| (-870)))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T))
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
((((-577)) . T) (($) . T))
((((-792)) . T))
-(-2867 (|has| |#1| (-239)) (|has| |#1| (-238)) (|has| |#1| (-361)))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
-(-2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+(-2816 (|has| |#1| (-239)) (|has| |#1| (-238)) (|has| |#1| (-361)))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
+(-2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
((((-885)) . T))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(|has| |#2| (-937))
@@ -2024,32 +2024,32 @@
(((|#2|) |has| |#2| (-1130)))
((($) . T) (((-577)) . T))
((($) . T))
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-(-2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
((((-549)) . T) (((-420 (-1202 (-577)))) . T) (((-228)) . T) (((-391)) . T))
((((-391)) . T) (((-228)) . T) (((-885)) . T))
(|has| |#1| (-937))
(|has| |#1| (-937))
-((($ (-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ (-839 (-1206))) . T))
+((($ (-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ (-839 (-1206))) . T))
((((-577)) . T) (((-420 (-577))) . T) (($) . T))
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+(-2816 (|has| |#1| (-102)) (|has| |#1| (-870)) (|has| |#1| (-1130)))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
(|has| |#1| (-937))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747))))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747))))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-937)))
((($) . T))
(((|#1|) . T))
((($) . T) ((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747)) (|has| |#2| (-1079))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747)) (|has| |#2| (-1079))))
(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
((((-1204 |#1| |#2| |#3|)) -12 (|has| (-1204 |#1| |#2| |#3|) (-320 (-1204 |#1| |#2| |#3|))) (|has| |#1| (-375))))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-937)))
((((-885)) . T))
((((-885)) . T))
((($ $) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
-((($) -2867 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (-12 (|has| |#1| (-375)) (|has| |#2| (-238)))))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+((($) -2816 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (-12 (|has| |#1| (-375)) (|has| |#2| (-238)))))
((($) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))))
((((-1001)) . T))
((((-1001)) . T) (((-885)) . T))
@@ -2058,7 +2058,7 @@
((($) . T))
(((|#1|) . T))
((((-112)) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569)))
((((-577)) . T))
(((|#1| (-577)) . T))
((($) . T))
@@ -2081,7 +2081,7 @@
(((|#1| (-1261 |#1| |#2| |#3|)) . T))
((((-885)) . T))
(|has| |#1| (-1130))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1| (-792)) . T))
((((-1188) |#1|) . T))
(((|#1|) . T))
@@ -2102,20 +2102,20 @@
((((-577)) . T))
((((-577)) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-361)))
((((-885)) . T))
(|has| |#1| (-148))
(((|#3|) . T))
((((-885)) . T))
(|has| |#3| (-1079))
-((($) -2867 (|has| |#2| (-239)) (|has| |#2| (-238))))
+((($) -2816 (|has| |#2| (-239)) (|has| |#2| (-238))))
((((-1282 |#2| |#3| |#4|)) . T) (((-1283 |#1| |#2| |#3| |#4|)) . T))
((((-885)) . T))
-((((-48)) -12 (|has| |#1| (-569)) (|has| |#1| (-1068 (-577)))) (((-630 $)) . T) ((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) -2867 (-12 (|has| |#1| (-569)) (|has| |#1| (-1068 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-420 (-980 |#1|))) |has| |#1| (-569)) (((-980 |#1|)) |has| |#1| (-1079)) (((-1206)) . T))
+((((-48)) -12 (|has| |#1| (-569)) (|has| |#1| (-1068 (-577)))) (((-630 $)) . T) ((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) -2816 (-12 (|has| |#1| (-569)) (|has| |#1| (-1068 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-420 (-980 |#1|))) |has| |#1| (-569)) (((-980 |#1|)) |has| |#1| (-1079)) (((-1206)) . T))
(((|#1|) . T) (($) . T))
(((|#1| (-792)) . T))
(((|#1|) . T))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174)))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174)))
(((|#1|) |has| |#1| (-320 |#1|)))
((((-1283 |#1| |#2| |#3| |#4|)) . T))
((((-577)) |has| |#1| (-910 (-577))) (((-391)) |has| |#1| (-910 (-391))))
@@ -2124,31 +2124,31 @@
(((|#1|) . T))
((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
(((|#1|) . T))
-((((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
-(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))))
+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174)))
+(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) . T))
-(((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) (((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) |has| (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)) (-320 (-2 (|:| -4376 |#1|) (|:| -2727 |#2|)))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) . T))
+(((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))) (((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))))
(((|#1|) |has| |#1| (-174)))
((((-885)) . T))
((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(|has| |#1| (-569))
-((($ (-1293 |#2|)) . T) (($ (-1206)) -2867 (-12 (|has| (-1289 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-928 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
+((($ (-1293 |#2|)) . T) (($ (-1206)) -2816 (-12 (|has| (-1289 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-928 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
((($ (-1293 |#2|)) . T) (($ (-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((($ (-1293 |#2|)) . T) (($ (-1206)) -12 (|has| |#1| (-15 * (|#1| (-792) |#1|))) (|has| |#1| (-926 (-1206)))))
(((|#1|) |has| |#1| (-174)) (($) . T) (((-577)) . T))
(((|#1|) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
(((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T) (($) . T))
(((|#3|) |has| |#3| (-1130)))
((((-938 |#1|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375))))
((((-887 |#1|)) . T))
((((-1282 |#2| |#3| |#4|)) . T))
((((-112)) . T))
@@ -2159,8 +2159,8 @@
(|has| |#1| (-869))
(|has| |#1| (-869))
(((|#1| (-577) (-1112)) . T))
-(-2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+(-2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1| (-420 (-577)) (-1112)) . T))
(((|#1| (-792) (-1112)) . T))
(|has| |#1| (-870))
@@ -2174,41 +2174,41 @@
((((-938 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
(|has| |#1| (-1130))
((((-420 (-577))) |has| |#2| (-375)) (($) . T) (((-577)) . T))
-((((-577)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079))))
+((((-577)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079))))
(((|#1|) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
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(((|#1|) . T))
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(((|#1|) . T) (((-577)) . T))
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((((-549)) . T) (((-577)) . T) (((-916 (-577))) . T) (((-391)) . T) (((-228)) . T))
((((-885)) . T))
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@@ -2243,12 +2243,12 @@
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((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#1|) |has| |#1| (-174)))
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((((-577)) . T) ((|#1|) . T) (($) . T) (((-420 (-577))) . T) (((-1206)) |has| |#1| (-1068 (-1206))))
(((|#1| |#2|) . T))
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((((-145)) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
@@ -2259,13 +2259,13 @@
((((-885)) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
((($) . T) (((-577)) |has| |#1| (-659 (-577))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
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(|has| |#1| (-375))
(|has| |#1| (-375))
((($ |#2|) . T))
(|has| (-420 |#2|) (-239))
((((-665 |#1|)) . T))
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((($ (-1293 |#2|)) . T) (($ (-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((($ (-1293 |#2|)) . T) (($ (-1206)) -12 (|has| |#1| (-15 * (|#1| (-792) |#1|))) (|has| |#1| (-926 (-1206)))))
(|has| |#1| (-937))
@@ -2273,7 +2273,7 @@
(((|#2|) |has| |#2| (-1079)))
(|has| |#1| (-375))
((($) . T))
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(((|#1|) |has| |#1| (-174)))
((($ (-887 |#1|)) . T))
(((|#1| |#1|) . T))
@@ -2284,7 +2284,7 @@
(((|#1|) . T))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
((((-665 $)) . T) (((-1188)) . T) (((-1206)) . T) (((-577)) . T) (((-228)) . T) (((-885)) . T))
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((((-420 (-577))) . T) (((-577)) . T) (((-630 $)) . T))
(((|#1|) . T))
((((-885)) . T))
@@ -2300,7 +2300,7 @@
(((|#1| (-792) (-1112)) . T))
((((-885)) . T))
(((#0=(-420 |#2|) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T))
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(((|#1| (-615 |#1| |#3|) (-615 |#1| |#2|)) . T))
(((|#1|) |has| |#1| (-174)))
(((|#1|) . T))
@@ -2320,37 +2320,37 @@
((((-720)) . T))
((((-720)) . T))
(((|#2|) |has| |#2| (-174)))
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((((-577)) . T) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-1068 (-420 (-577)))))
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(((|#1|) . T) (($) . T))
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((($) . T) (((-577)) . T) (((-420 (-577))) . T))
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
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(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
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((((-391)) . T))
((((-720)) . T))
((((-420 (-577))) . #0=(|has| |#2| (-375))) (($) . #0#))
(((|#1|) |has| |#1| (-174)))
((((-420 (-980 |#1|))) . T))
(((|#2| |#2|) . T))
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(((|#1|) . T))
(((|#2|) . T))
(((|#3|) |has| |#3| (-1079)))
@@ -2362,7 +2362,7 @@
((((-1206)) |has| |#2| (-926 (-1206))))
(|has| |#1| (-870))
((((-885)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(|has| |#1| (-812))
((((-420 (-577))) . T) (($) . T))
(|has| |#1| (-486))
@@ -2370,8 +2370,8 @@
(|has| |#1| (-380))
(|has| |#1| (-380))
(|has| |#1| (-375))
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((((-117 |#1|)) . T))
((((-117 |#1|)) . T))
(|has| |#1| (-361))
@@ -2382,7 +2382,7 @@
(|has| |#1| (-38 (-420 (-577))))
(((|#2|) . T) (((-885)) . T))
(((|#2|) . T) (((-885)) . T))
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(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
@@ -2393,18 +2393,18 @@
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-870))
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+((((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
(((|#1| |#2|) . T))
((($) . T) (((-577)) . T))
(|has| |#1| (-148))
(|has| |#1| (-146))
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+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) |has| (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)) (-320 (-2 (|:| -4375 |#1|) (|:| -3988 |#2|)))) ((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
(((|#2|) . T))
(|has| |#1| (-15 * (|#1| (-577) |#1|)))
(((|#3|) . T))
((((-117 |#1|)) . T))
(|has| |#1| (-380))
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(|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))
(|has| |#1| (-870))
(((|#2|) . T) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) |has| |#1| (-1068 (-577))) ((|#1|) . T))
@@ -2423,17 +2423,17 @@
(((|#1|) |has| |#1| (-375)))
(((|#1|) |has| |#1| (-375)))
((((-885)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((($ $) . T) (((-630 $) $) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
((($) . T) (((-1283 |#1| |#2| |#3| |#4|)) . T) (((-420 (-577))) . T))
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-((($) . T) (((-577)) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T))
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+((($) . T) (((-577)) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T))
(|has| |#1| (-375))
(|has| |#1| (-375))
(|has| |#1| (-375))
((((-391)) . T) (((-577)) . T) (((-420 (-577))) . T))
-((((-1206)) -2867 (-12 (|has| |#3| (-926 (-1206))) (|has| |#3| (-1079))) (-12 (|has| |#3| (-928 (-1206))) (|has| |#3| (-1079)))))
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((((-665 (-801 |#1| (-887 |#2|)))) . T) (((-885)) . T))
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@@ -2442,17 +2442,17 @@
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@@ -2460,14 +2460,14 @@
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@@ -2518,24 +2518,24 @@
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@@ -2544,16 +2544,16 @@
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@@ -2578,59 +2578,59 @@
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((((-577)) . T) (($) . T) (((-420 (-577))) . T))
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@@ -2642,13 +2642,13 @@
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((((-577)) . T) ((|#1|) . T))
(((|#2|) . T) (($) . T) (((-577)) . T))
(((|#2|) . T))
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(((|#1| |#1|) . T))
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((((-420 |#2|)) . T))
@@ -2657,10 +2657,10 @@
((((-885)) . T))
((((-885)) . T))
((((-549)) |has| |#1| (-632 (-549))))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((((-577)) . T) (($) . T) (((-420 (-577))) . T))
((((-1206) |#1|) |has| |#1| (-527 (-1206) |#1|)) ((|#1| |#1|) |has| |#1| (-320 |#1|)))
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(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
((((-577)) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
@@ -2670,14 +2670,14 @@
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#2|) |has| |#2| (-375)))
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+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
(((|#2|) . T))
((((-420 (-577))) . T) (((-720)) . T) (($) . T))
-((($) . T) (((-420 (-577))) -2867 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
+((($) . T) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
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+((($) -2816 (|has| |#1| (-239)) (|has| |#1| (-238))))
((((-577)) . T) (($) . T))
((((-887 |#1|)) . T))
(((|#2|) |has| |#2| (-174)))
@@ -2686,7 +2686,7 @@
((((-1206)) |has| |#1| (-926 (-1206))) (((-1112)) . T))
((((-1206)) |has| |#1| (-926 (-1206))) (((-1118 (-1206))) . T))
(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1130))))
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((((-420 (-577))) . T) (((-577)) . T) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(|has| |#1| (-38 (-420 (-577))))
@@ -2695,13 +2695,13 @@
(|has| |#1| (-146))
(|has| |#1| (-148))
((($ $) . T))
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(|has| |#1| (-569))
(((|#2|) . T))
((((-577)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1|) . T))
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((((-594 |#1|)) . T))
((($) . T))
(((|#1| (-59 |#1|) (-59 |#1|)) . T))
@@ -2721,37 +2721,37 @@
(((|#1|) . T))
(((|#3|) . T) (((-577)) . T))
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((((-420 (-577))) |has| |#2| (-1068 (-420 (-577)))) (((-577)) |has| |#2| (-1068 (-577))) ((|#2|) . T) (((-887 |#1|)) . T))
((($) . T) (((-117 |#1|)) . T) (((-420 (-577))) . T))
((((-1155 |#1| |#2|)) . T) ((|#2|) . T) ((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
((((-1202 |#1|)) . T) (((-1112)) . T) ((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
((((-1155 |#1| (-1206))) . T) (((-1118 (-1206))) . T) ((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-1206)) . T))
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((($) . T))
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((((-577)) -12 (|has| |#1| (-910 (-577))) (|has| |#2| (-910 (-577)))) (((-391)) -12 (|has| |#1| (-910 (-391))) (|has| |#2| (-910 (-391)))))
(((|#1| |#2|) . T))
((((-1206) |#1|) . T))
(((|#4|) . T))
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((((-1206) (-52)) . T))
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((((-1282 |#2| |#3| |#4|) (-330 |#2| |#3| |#4|)) . T))
((((-885)) . T))
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(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#1| $) |has| |#1| (-297 |#1| |#1|)))
((((-1283 |#1| |#2| |#3| |#4|)) . T) (((-420 (-577))) . T) (($) . T))
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(|has| |#1| (-375))
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((($) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))))
(|has| |#1| (-146))
(|has| |#1| (-148))
@@ -2770,16 +2770,16 @@
(((|#2| |#3|) . T))
(((|#1| (-544 |#2|)) . T))
(((|#1| (-792)) . T))
-(-2867 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
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(((|#1| (-544 (-1118 (-1206)))) . T))
(((|#1|) |has| |#1| (-174)))
(((|#1|) . T))
(|has| |#2| (-937))
-(-2867 (|has| |#2| (-814)) (|has| |#2| (-870)))
+(-2816 (|has| |#2| (-814)) (|has| |#2| (-870)))
((((-885)) . T))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747))))
-(((|#2|) -2867 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747)) (|has| |#2| (-1079))))
-((($ (-1206)) -2867 (-12 (|has| |#3| (-926 (-1206))) (|has| |#3| (-1079))) (-12 (|has| |#3| (-928 (-1206))) (|has| |#3| (-1079)))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747))))
+(((|#2|) -2816 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-747)) (|has| |#2| (-1079))))
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((($ $) . T) ((#0=(-1282 |#2| |#3| |#4|) #0#) . T) ((#1=(-420 (-577)) #1#) |has| #0# (-38 (-420 (-577)))))
((((-938 |#1|)) . T))
(-12 (|has| |#1| (-375)) (|has| |#2| (-841)))
@@ -2787,14 +2787,14 @@
((((-885)) . T))
((($) . T) (((-577)) . T))
((($) . T))
-(-2867 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569)))
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(|has| |#1| (-375))
(|has| |#1| (-375))
(((|#1| |#2|) . T))
((($) . T) ((#0=(-1282 |#2| |#3| |#4|)) . T) (((-420 (-577))) |has| #0# (-38 (-420 (-577)))))
((((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)))
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-(-2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
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+(-2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)))
((((-577)) |has| |#1| (-659 (-577))) ((|#1|) . T))
(((|#1| |#2|) . T))
((((-885)) . T))
@@ -2832,7 +2832,7 @@
((($) . T))
(((|#4|) . T))
((($) . T))
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((((-885)) . T))
(((|#1| (-544 (-1206))) . T))
((($ $) . T))
@@ -2842,29 +2842,29 @@
(((|#2|) . T))
(((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1130))))
(((|#2|) . T))
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-(-2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
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(|has| |#2| (-937))
(|has| |#1| (-937))
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(((|#2|) |has| |#2| (-174)))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)))
((((-885)) . T))
((((-885)) . T))
((((-549)) . T) (((-577)) . T) (((-916 (-577))) . T) (((-391)) . T) (((-228)) . T))
(((|#1| |#2|) . T))
((($) . T) (((-577)) . T))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 (-52)))) . T))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 (-52)))) . T))
(((|#1|) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((((-885)) . T))
(((|#1| |#2|) . T))
((($) . T) (((-577)) . T))
(((|#1| (-420 (-577))) . T))
(((|#1|) . T))
-(-2867 (|has| |#1| (-301)) (|has| |#1| (-375)))
+(-2816 (|has| |#1| (-301)) (|has| |#1| (-375)))
((((-145)) . T))
((((-577)) |has| #0=(-420 |#2|) (-659 (-577))) ((#0#) . T) (((-420 (-577))) . T) (($) . T))
(|has| |#1| (-869))
@@ -2880,7 +2880,7 @@
((((-885)) . T))
((((-885)) . T))
((((-189)) . T) (((-885)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#2| |#2|) . T) ((|#1| |#1|) . T))
((((-885)) . T))
((((-885)) . T))
@@ -2897,8 +2897,8 @@
(|has| |#1| (-870))
((((-885)) . T))
((((-549)) |has| |#1| (-632 (-549))))
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-((($) -2867 (-12 (|has| (-1204 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (-12 (|has| (-1204 |#1| |#2| |#3|) (-238)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
+((($) -2816 (-12 (|has| (-1204 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (-12 (|has| (-1204 |#1| |#2| |#3|) (-238)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))))
((((-885)) . T))
(((|#2|) |has| |#2| (-375)))
((((-885)) . T))
@@ -2913,19 +2913,19 @@
(|has| |#3| (-1079))
(|has| |#1| (-1130))
((((-1206) (-52)) . T))
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(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
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(|has| |#1| (-937))
((((-938 |#1|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
(|has| |#1| (-937))
(((|#1|) . T) (((-577)) . T) (((-420 (-577))) . T) (($) . T))
(((|#2|) . T))
-((($ (-1206)) -2867 (-12 (|has| |#2| (-926 (-1206))) (|has| |#2| (-1079))) (-12 (|has| |#2| (-928 (-1206))) (|has| |#2| (-1079)))))
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(((#0=(-420 (-577)) #0#) . T) (($ $) . T))
((((-577)) . T))
(((|#1|) . T))
@@ -2937,12 +2937,12 @@
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
(|has| |#1| (-841))
(((#0=(-938 |#1|) #0#) . T) (($ $) . T) ((#1=(-420 (-577)) #1#) . T))
((((-420 |#2|)) . T))
(|has| |#1| (-869))
-((((-1233 |#1|)) . T) (((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-1233 |#1|)) . T) (((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
(((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) . T) ((#1=(-577) #1#) . T) (($ $) . T))
((((-938 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
(((|#2|) |has| |#2| (-1079)) (((-577)) -12 (|has| |#2| (-659 (-577))) (|has| |#2| (-1079))))
@@ -2961,36 +2961,36 @@
(((|#2|) |has| |#2| (-174)))
(((|#1|) . T))
(((|#2|) . T))
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-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) . T))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) . T))
((((-577) |#3|) . T))
(((|#1|) . T))
-(((#0=(-52)) . T) (((-2 (|:| -4376 (-1206)) (|:| -2727 #0#))) . T))
+(((#0=(-52)) . T) (((-2 (|:| -4375 (-1206)) (|:| -3988 #0#))) . T))
(|has| |#1| (-361))
((((-577)) . T))
((((-885)) . T))
(((|#1|) . T))
(((#0=(-1283 |#1| |#2| |#3| |#4|) $) |has| #0# (-297 #0# #0#)))
(|has| |#1| (-375))
-(-2867 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079))))
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+(-2816 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079))))
+(((|#1|) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1079))) (($) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079))) (((-577)) -2816 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079))))
(((#0=(-1112) |#1|) . T) ((#0# $) . T) (($ $) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
(((#0=(-420 (-577)) #0#) . T) ((#1=(-720) #1#) . T) (($ $) . T))
((((-327 |#1|)) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) |has| |#1| (-375)))
((((-885)) . T))
(|has| |#1| (-1130))
(((|#1|) . T))
-(((|#1|) -2867 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|))))
-(((|#1|) -2867 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|))))
+(((|#1|) -2816 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|))))
+(((|#1|) -2816 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|))))
(((|#2|) . T))
((((-420 (-577))) . T) (((-720)) . T) (($) . T))
((((-592)) . T))
(((|#3| |#3|) . T))
-((($ (-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
+((($ (-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
(|has| |#1| (-870))
(|has| |#2| (-239))
((((-887 |#1|)) . T))
@@ -3011,10 +3011,10 @@
(|has| |#1| (-1130))
(((|#2|) . T))
(((|#1|) . T))
-((($) -2867 (|has| |#1| (-239)) (|has| |#1| (-238))))
+((($) -2816 (|has| |#1| (-239)) (|has| |#1| (-238))))
((((-577)) . T))
(((|#2|) . T) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) ((|#1|) . T) (($) . T) (((-577)) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
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(((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
(((|#1| |#2|) . T))
((($) . T))
@@ -3057,7 +3057,7 @@
(|has| |#2| (-1052))
((($) . T))
(|has| |#1| (-937))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#4|) . T))
((($) . T))
(((|#2|) . T))
@@ -3067,32 +3067,32 @@
(|has| |#1| (-375))
((((-938 |#1|)) . T))
((($) . T) (((-577)) . T) ((|#1|) . T) (((-420 (-577))) . T))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((($) |has| |#1| (-869)) (((-577)) -2867 (|has| |#1| (-21)) (|has| |#1| (-869))))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) |has| |#1| (-869)) (((-577)) -2816 (|has| |#1| (-21)) (|has| |#1| (-869))))
((($ $) . T) ((#0=(-420 (-577)) #0#) . T))
-(-2867 (|has| |#1| (-380)) (|has| |#1| (-870)))
+(-2816 (|has| |#1| (-380)) (|has| |#1| (-870)))
(((|#1|) . T))
((((-792)) . T))
((((-885)) . T))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((((-420 |#2|) |#3|) . T))
-(-2867 (-12 (|has| |#3| (-239)) (|has| |#3| (-1079))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1079))))
+(-2816 (-12 (|has| |#3| (-239)) (|has| |#3| (-1079))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1079))))
((($) . T) (((-420 (-577))) . T))
((($) . T) (((-577)) . T) (((-420 (-577))) . T) (((-630 $)) . T))
((((-577)) . T) (($) . T))
((((-577)) . T) (($) . T))
((((-792) |#1|) . T))
-(((|#2| (-246 (-3600 |#1|) (-792))) . T))
+(((|#2| (-246 (-3521 |#1|) (-792))) . T))
(((|#1| (-544 |#3|)) . T))
((((-420 (-577))) . T))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
((((-1188)) . T) (((-885)) . T))
-(((#0=(-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) #0#) |has| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (-320 (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))))))
+(((#0=(-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) #0#) |has| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (-320 (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))))))
((((-1188)) . T))
(|has| |#1| (-937))
(|has| |#2| (-375))
(((|#1|) . T) (($) . T) (((-577)) . T))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
((((-171 (-391))) . T) (((-228)) . T) (((-391)) . T))
((((-885)) . T))
(((|#1|) . T))
@@ -3109,11 +3109,11 @@
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
-(-2867 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)))
(|has| |#1| (-38 (-420 (-577))))
(-12 (|has| |#1| (-558)) (|has| |#1| (-849)))
((((-885)) . T))
-((((-1206)) -2867 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206))))))
+((((-1206)) -2816 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206))))))
(|has| |#1| (-375))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
(|has| |#1| (-375))
@@ -3126,13 +3126,13 @@
((((-577) |#1|) . T))
((((-1206)) |has| |#1| (-926 (-1206))))
(((|#1|) . T))
-(-2867 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361)))
+(-2816 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361)))
(((|#2|) |has| |#1| (-375)))
(((|#2|) |has| |#1| (-375)))
-(-2867 (|has| |#4| (-814)) (|has| |#4| (-870)))
-(-2867 (|has| |#3| (-814)) (|has| |#3| (-870)))
+(-2816 (|has| |#4| (-814)) (|has| |#4| (-870)))
+(-2816 (|has| |#3| (-814)) (|has| |#3| (-870)))
((((-577)) . T) (($) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) |has| |#1| (-174)))
@@ -3171,32 +3171,32 @@
((((-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-910 (-391)))) (((-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-910 (-577)))))
(((|#1|) . T))
((($) . T) (((-577)) . T) ((|#2|) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
(((|#3|) . T))
((((-1188)) . T) (((-519)) . T) (((-228)) . T) (((-577)) . T))
(((|#1|) . T))
(|has| |#1| (-375))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
(|has| |#1| (-375))
(|has| |#1| (-569))
(((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1130))))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
(((|#2|) . T))
(((|#2|) . T))
(|has| |#2| (-1079))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(|has| |#1| (-38 (-420 (-577))))
(((|#1| |#2|) . T))
(|has| |#1| (-38 (-420 (-577))))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
((($) . T))
(|has| |#1| (-148))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
(|has| |#1| (-148))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-380)))
(|has| |#1| (-148))
((($) . T))
((((-594 |#1|)) . T))
@@ -3212,7 +3212,7 @@
((((-420 (-577))) |has| |#2| (-1068 (-577))) (((-577)) |has| |#2| (-1068 (-577))) (((-1206)) |has| |#2| (-1068 (-1206))) ((|#2|) . T))
(((#0=(-420 |#2|) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T))
(((|#1|) . T))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-361)))
(|has| |#1| (-148))
((((-885)) . T))
((($) . T))
@@ -3232,15 +3232,15 @@
((((-420 |#2|)) . T))
((((-885)) . T))
(((|#1|) . T))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
(|has| |#1| (-812))
(|has| |#1| (-812))
((((-885)) . T))
((((-938 |#1|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
((((-885)) . T))
((((-549)) |has| |#1| (-632 (-549))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-115)) . T) ((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
@@ -3250,7 +3250,7 @@
(((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)) (((-420 (-577))) |has| |#1| (-569)))
((((-885)) . T))
((((-885)) . T))
-(-2867 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079))))
+(-2816 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079))))
(((#0=(-938 |#1|) #0#) . T) (($ $) . T) ((#1=(-420 (-577)) #1#) . T))
(((|#2|) . T))
(((|#1|) . T))
@@ -3262,10 +3262,10 @@
((((-885)) . T))
(((|#2|) . T))
((((-577)) . T))
-((((-1206)) -2867 (|has| (-420 |#2|) (-926 (-1206))) (|has| (-420 |#2|) (-928 (-1206)))))
+((((-1206)) -2816 (|has| (-420 |#2|) (-926 (-1206))) (|has| (-420 |#2|) (-928 (-1206)))))
((((-885)) . T))
((((-577)) . T))
-(-2867 (|has| |#2| (-814)) (|has| |#2| (-870)))
+(-2816 (|has| |#2| (-814)) (|has| |#2| (-870)))
((((-171 (-391))) . T) (((-228)) . T) (((-391)) . T))
((((-885)) . T))
((((-885)) . T))
@@ -3277,11 +3277,11 @@
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(|has| |#1| (-375))
(|has| |#1| (-375))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
((((-885)) . T))
((((-577) $) . T) (((-665 (-577)) $) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-486)) (|has| |#1| (-747)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)) (|has| |#1| (-1142)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-486)) (|has| |#1| (-747)) (|has| |#1| (-926 (-1206))) (|has| |#1| (-1079)) (|has| |#1| (-1142)) (|has| |#1| (-1130)))
(|has| |#1| (-1182))
((((-938 |#1|)) . T) (((-420 (-577))) . T) (($) . T))
((($) . T))
@@ -3291,22 +3291,22 @@
(((#0=(-117 |#1|) $) |has| #0# (-297 #0# #0#)))
(((|#1|) |has| |#1| (-174)))
((((-327 |#1|)) . T) (((-577)) . T))
-(-2867 (|has| |#2| (-239)) (|has| |#2| (-238)))
+(-2816 (|has| |#2| (-239)) (|has| |#2| (-238)))
(((|#1|) . T))
(((|#1| |#1|) . T))
((((-885)) . T))
(((|#1|) . T))
((((-115)) . T) ((|#1|) . T))
((((-885)) . T))
-((((-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
+((((-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
(((|#1|) |has| |#1| (-320 |#1|)))
((((-577) |#1|) . T) (((-1264 (-577)) $) . T))
(((|#1| |#2|) . T))
((((-1206) |#1|) . T))
-(((|#1|) -2867 (|has| |#1| (-174)) (|has| |#1| (-375))))
+(((|#1|) -2816 (|has| |#1| (-174)) (|has| |#1| (-375))))
(((|#1|) . T))
((($ (-1206)) . T))
-(((|#1|) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1079))))
+(((|#1|) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1079))))
((((-577)) . T) (((-420 (-577))) . T))
(((|#1|) . T))
(|has| |#1| (-569))
@@ -3315,15 +3315,15 @@
(((|#1|) . T))
(((|#1|) . T))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
(|has| |#1| (-375))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
(|has| |#1| (-375))
(|has| |#1| (-569))
((($) . T))
(|has| |#1| (-1130))
((((-801 |#1| (-887 |#2|))) |has| (-801 |#1| (-887 |#2|)) (-320 (-801 |#1| (-887 |#2|)))))
-(-2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+(-2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
(((|#1|) . T))
(((|#2| |#3|) . T))
(((|#1|) . T))
@@ -3332,17 +3332,17 @@
(((|#1| (-792)) . T))
(|has| |#1| (-239))
(((|#1| (-544 (-1118 (-1206)))) . T))
-((($) -2867 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079)))))
+((($) -2816 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079)))))
((((-594 |#1|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
((((-577)) . T) (((-420 (-577))) . T) (($) . T))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 (-52)))) . T))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 (-52)))) . T))
(((|#1|) . T))
(((|#1|) . T) (((-577)) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(|has| |#2| (-375))
((((-885)) . T))
((((-885)) . T))
-(-2867 (|has| |#3| (-814)) (|has| |#3| (-870)))
+(-2816 (|has| |#3| (-814)) (|has| |#3| (-870)))
((((-885)) . T))
((((-1150)) . T) (((-885)) . T))
((((-549)) . T) (((-885)) . T))
@@ -3353,14 +3353,14 @@
((((-577)) . T))
(((|#3|) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)))
-((((-577)) . T) (((-420 (-577))) -2867 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1068 (-420 (-577))))) ((|#2|) . T) (($) -2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) (((-887 |#1|)) . T))
-((((-1155 |#1| |#2|)) . T) ((|#2|) . T) (($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-577)) . T))
-((((-1202 |#1|)) . T) (((-577)) . T) (($) -2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) (((-1112)) . T) ((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))))
-(-2867 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1079)))
+(-2816 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)))
+((((-577)) . T) (((-420 (-577))) -2816 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1068 (-420 (-577))))) ((|#2|) . T) (($) -2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) (((-887 |#1|)) . T))
+((((-1155 |#1| |#2|)) . T) ((|#2|) . T) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-577)) . T))
+((((-1202 |#1|)) . T) (((-577)) . T) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) (((-1112)) . T) ((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))))
+(-2816 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1079)))
(((#0=(-594 |#1|) #0#) . T) (($ $) . T) ((#1=(-420 (-577)) #1#) . T))
((($ $) . T) ((#0=(-420 (-577)) #0#) . T))
-((((-1155 |#1| (-1206))) . T) (((-577)) . T) (((-1118 (-1206))) . T) (($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-1206)) . T))
+((((-1155 |#1| (-1206))) . T) (((-577)) . T) (((-1118 (-1206))) . T) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) (((-1206)) . T))
(((|#1|) |has| |#1| (-174)))
(((|#1| (-1297 |#1|) (-1297 |#1|)) . T))
((((-594 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
@@ -3375,7 +3375,7 @@
((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) ((|#1|) . T) (((-577)) . T))
(((|#1|) . T))
((((-885)) . T))
-(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
(((|#2| |#2|) . T) ((|#6| |#6|) . T))
((((-305 |#3|)) . T))
(((|#1|) . T))
@@ -3384,30 +3384,30 @@
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
(((|#2|) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
(((|#2|) . T) ((|#6|) . T))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
((((-885)) . T))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| |#2| (-937))
(|has| |#1| (-937))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
((((-885)) . T))
(((|#1|) . T))
(((|#1|) . T))
-((((-2 (|:| -4376 (-1188)) (|:| -2727 |#1|))) . T))
+((((-2 (|:| -4375 (-1188)) (|:| -3988 |#1|))) . T))
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
(((|#1| |#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
-(-2867 (|has| |#2| (-814)) (|has| |#2| (-870)))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#2| (-814)) (|has| |#2| (-870)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
(((|#1|) . T))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
((((-1206)) . T) ((|#1|) . T))
@@ -3419,15 +3419,15 @@
(((#0=(-420 (-577)) #0#) . T))
((((-420 (-577))) . T))
(((|#1|) |has| |#1| (-174)))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079)))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1079)))
(((|#1|) . T))
(((|#1|) . T))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
(((|#1|) . T))
((((-420 (-577))) . T) (((-577)) . T) (($) . T))
((((-549)) . T))
((((-885)) . T))
-((($) -2867 (-12 (|has| |#3| (-239)) (|has| |#3| (-1079))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1079)))))
+((($) -2816 (-12 (|has| |#3| (-239)) (|has| |#3| (-1079))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1079)))))
(|has| |#1| (-870))
((((-885)) . T))
((((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)))
@@ -3443,21 +3443,21 @@
((($ $) . T) ((#0=(-420 (-577)) #0#) . T))
((((-1206)) |has| |#1| (-926 (-1206))))
((((-938 |#1|)) . T) (((-420 (-577))) . T) (($) . T))
-((($) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T))
-(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))))
+((($) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T))
+(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T))
((($) . T) (((-420 (-577))) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
(((|#2|) |has| |#2| (-1079)) (((-577)) -12 (|has| |#2| (-659 (-577))) (|has| |#2| (-1079))))
((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T))
-((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-569))))
+((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-569))))
(|has| |#1| (-569))
(((|#1|) |has| |#1| (-375)))
((((-577)) . T))
((((-1206) #0=(-117 |#1|)) |has| #0# (-527 (-1206) #0#)) ((#0# #0#) |has| #0# (-320 #0#)))
(|has| |#1| (-812))
(|has| |#1| (-812))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
(((|#2|) . T) (((-577)) |has| |#2| (-1068 (-577))) (((-420 (-577))) |has| |#2| (-1068 (-420 (-577)))))
((((-1112)) . T) ((|#2|) . T) (((-577)) |has| |#2| (-1068 (-577))) (((-420 (-577))) |has| |#2| (-1068 (-420 (-577)))))
(((|#1|) . T))
@@ -3477,11 +3477,11 @@
((($) |has| |#1| (-380)))
(|has| |#2| (-841))
(|has| |#2| (-841))
-((((-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-659 (-577)))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2|) |has| |#1| (-375)) (($) . T) ((|#1|) . T))
+((((-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-659 (-577)))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2|) |has| |#1| (-375)) (($) . T) ((|#1|) . T))
((($ (-1206)) |has| |#1| (-926 (-1206))))
(((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))))
-((($) -2867 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361))))
-(((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T))
+((($) -2816 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361))))
+(((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
((((-577)) |has| |#1| (-910 (-577))) (((-391)) |has| |#1| (-910 (-391))))
(((|#1|) . T))
@@ -3496,7 +3496,7 @@
(|has| |#1| (-375))
(|has| |#1| (-375))
(((|#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1130))))
-(((|#2|) -2867 (|has| |#2| (-6 (-4501 "*"))) (|has| |#2| (-174))))
+(((|#2|) -2816 (|has| |#2| (-6 (-4501 "*"))) (|has| |#2| (-174))))
(((|#2|) . T))
(|has| |#1| (-375))
(((|#2|) . T))
@@ -3510,12 +3510,12 @@
(((|#2| (-792)) . T))
((((-1206)) . T))
((((-893 |#1|)) . T))
-(-2867 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1079)))
-(-2867 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-814)) (|has| |#3| (-1079)))
+(-2816 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1079)))
+(-2816 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-814)) (|has| |#3| (-1079)))
((((-885)) . T))
(((|#1|) . T))
-(-2867 (|has| |#2| (-814)) (|has| |#2| (-870)))
-(-2867 (-12 (|has| |#1| (-814)) (|has| |#2| (-814))) (-12 (|has| |#1| (-870)) (|has| |#2| (-870))))
+(-2816 (|has| |#2| (-814)) (|has| |#2| (-870)))
+(-2816 (-12 (|has| |#1| (-814)) (|has| |#2| (-814))) (-12 (|has| |#1| (-870)) (|has| |#2| (-870))))
((((-893 |#1|)) . T))
(((|#1|) . T))
(|has| |#1| (-380))
@@ -3533,7 +3533,7 @@
(((|#1|) . T))
((((-885)) . T))
((($) . T) ((|#2|) . T) (((-420 (-577))) . T) (((-577)) |has| |#2| (-659 (-577))))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
@@ -3542,7 +3542,7 @@
(((|#1|) . T))
((((-885)) . T))
(|has| |#2| (-937))
-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) . T))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) . T))
((((-549)) |has| |#2| (-632 (-549))) (((-916 (-391))) |has| |#2| (-632 (-916 (-391)))) (((-916 (-577))) |has| |#2| (-632 (-916 (-577)))))
((((-885)) . T))
((((-885)) . T))
@@ -3553,7 +3553,7 @@
((((-1202 |#1|)) . T) (((-885)) . T))
((((-885)) . T))
((((-420 (-577))) |has| |#2| (-1068 (-420 (-577)))) (((-577)) |has| |#2| (-1068 (-577))) ((|#2|) . T) (((-887 |#1|)) . T))
-((((-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-1112)) . T))
+((((-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (((-1112)) . T))
((((-117 |#1|)) . T) (($) . T) (((-420 (-577))) . T))
((((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-577)) |has| |#1| (-1068 (-577))) ((|#1|) . T) (((-1206)) . T))
((((-885)) . T))
@@ -3573,10 +3573,10 @@
((((-665 |#1|)) . T))
((($) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))))
((($) . T) (((-577)) . T) (((-1283 |#1| |#2| |#3| |#4|)) . T) (((-420 (-577))) . T))
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((((-1211)) . T))
((((-577)) . T) (((-420 (-577))) . T))
-((($ (-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
+((($ (-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
(((|#1|) . T))
((((-1211)) . T))
((((-1211)) . T))
@@ -3591,16 +3591,16 @@
((((-420 |#2|) |#3|) . T))
(((|#1|) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
-(((|#2| (-495 (-3600 |#1|) (-792))) . T))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(((|#2| (-495 (-3521 |#1|) (-792))) . T))
((((-577) |#1|) . T))
((((-1188)) . T) (((-885)) . T))
(((|#2| |#2|) . T))
(((|#1| (-544 (-1206))) . T))
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((((-577)) . T))
(((|#2|) . T))
-((($) -2867 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079)))))
+((($) -2816 (-12 (|has| |#2| (-239)) (|has| |#2| (-1079))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1079)))))
(((|#2|) . T))
((((-1206)) |has| |#1| (-926 (-1206))) (((-1112)) . T))
(((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
@@ -3609,9 +3609,9 @@
((($) . T) (((-420 (-577))) . T))
((($) . T))
((($) . T))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
(((|#1|) . T))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
((((-885)) . T))
((((-145)) . T))
(((|#1|) . T) (((-420 (-577))) . T))
@@ -3620,7 +3620,7 @@
((((-885)) . T))
(((|#1|) . T))
(|has| |#1| (-1182))
-((($ (-1206)) -2867 (|has| (-420 |#2|) (-926 (-1206))) (|has| (-420 |#2|) (-928 (-1206)))))
+((($ (-1206)) -2816 (|has| (-420 |#2|) (-926 (-1206))) (|has| (-420 |#2|) (-928 (-1206)))))
(((|#1|) . T))
(((|#1| (-544 (-887 |#2|)) (-887 |#2|) (-801 |#1| (-887 |#2|))) . T))
((((-420 $) (-420 $)) |has| |#1| (-569)) (($ $) . T) ((|#1| |#1|) . T))
@@ -3645,44 +3645,44 @@
(|has| |#1| (-1130))
(|has| |#1| (-1130))
(|has| |#2| (-375))
-(((|#1|) . T) (($) -2867 (|has| |#1| (-301)) (|has| |#1| (-375))) (((-420 (-577))) |has| |#1| (-375)))
+(((|#1|) . T) (($) -2816 (|has| |#1| (-301)) (|has| |#1| (-375))) (((-420 (-577))) |has| |#1| (-375)))
(|has| |#1| (-375))
(|has| |#1| (-375))
-((($) -2867 (|has| |#2| (-239)) (|has| |#2| (-238))))
+((($) -2816 (|has| |#2| (-239)) (|has| |#2| (-238))))
((((-577)) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-1130))
-((($ (-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
+((($ (-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
((((-1206)) -12 (|has| |#4| (-926 (-1206))) (|has| |#4| (-1079))))
((((-1206)) -12 (|has| |#3| (-926 (-1206))) (|has| |#3| (-1079))))
(((|#1|) . T))
(|has| |#1| (-239))
-(((|#2| (-246 (-3600 |#1|) (-792))) . T))
+(((|#2| (-246 (-3521 |#1|) (-792))) . T))
(((|#1| (-544 |#3|)) . T))
(|has| |#1| (-380))
(|has| |#1| (-380))
(|has| |#1| (-380))
(((|#1|) . T) (($) . T))
(((|#1| (-544 |#2|)) . T))
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(((|#1| (-792)) . T))
(|has| |#1| (-569))
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(-12 (|has| |#1| (-21)) (|has| |#2| (-21)))
((((-885)) . T))
((((-577)) . T) (((-420 (-577))) . T) (($) . T))
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(|has| |#2| (-1079))
(((|#1|) |has| |#1| (-174)))
(((|#4|) |has| |#4| (-1079)))
(((|#3|) |has| |#3| (-1079)))
(-12 (|has| |#1| (-375)) (|has| |#2| (-841)))
(-12 (|has| |#1| (-375)) (|has| |#2| (-841)))
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-((((-1155 |#1| |#2|)) . T) (((-577)) . T) ((|#3|) . T) (($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) ((|#2|) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-577)) . T) (((-420 (-577))) -2816 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1068 (-420 (-577))))) ((|#2|) . T) (($) -2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) (((-887 |#1|)) . T))
+((((-1155 |#1| |#2|)) . T) (((-577)) . T) ((|#3|) . T) (($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))) ((|#2|) . T))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-549)) |has| |#1| (-632 (-549))))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
(((|#1|) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T))
@@ -3701,18 +3701,18 @@
(((|#3|) |has| |#3| (-1130)) (((-577)) -12 (|has| |#3| (-1068 (-577))) (|has| |#3| (-1130))) (((-420 (-577))) -12 (|has| |#3| (-1068 (-420 (-577)))) (|has| |#3| (-1130))))
(|has| |#2| (-375))
(((|#2|) |has| |#2| (-1079)) (((-577)) -12 (|has| |#2| (-659 (-577))) (|has| |#2| (-1079))))
-(-2867 (|has| |#1| (-380)) (|has| |#1| (-870)))
+(-2816 (|has| |#1| (-380)) (|has| |#1| (-870)))
(((|#1|) . T))
-(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
+(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))))
(((|#1| |#1|) . T) (($ $) . T) ((#0=(-420 (-577)) #0#) . T))
(((|#1| |#1|) . T) (($ $) . T) ((#0=(-420 (-577)) #0#) . T))
(((|#1| |#1|) . T) (($ $) . T) ((#0=(-420 (-577)) #0#) . T))
((((-1206)) |has| |#1| (-1079)))
(|has| |#2| (-375))
(((|#2| |#2|) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
(((|#1|) . T) (($) . T) (((-420 (-577))) . T))
@@ -3724,11 +3724,11 @@
(((|#1|) . T))
(|has| |#2| (-841))
(|has| |#2| (-841))
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+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| |#1| (-375))
(|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))
(|has| |#1| (-375))
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+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| |#1| (-375))
(((|#1|) |has| |#2| (-430 |#1|)))
(((|#1|) |has| |#2| (-430 |#1|)))
@@ -3737,7 +3737,7 @@
((((-885)) . T) (((-1211)) . T))
((((-885)) . T) (((-1211)) . T))
((((-885)) . T) (((-1211)) . T))
-((((-665 |#1|)) . T) (((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-665 |#1|)) . T) (((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-1211)) . T))
((((-1211)) . T))
((((-1211)) . T))
@@ -3752,19 +3752,19 @@
((((-1211)) . T))
((((-885)) . T) (((-1211)) . T))
((((-1211)) . T))
-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) |has| (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))) (-320 (-2 (|:| -4376 (-1206)) (|:| -2727 (-52))))))
-(-2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) |has| (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))) (-320 (-2 (|:| -4375 (-1206)) (|:| -3988 (-52))))))
+(-2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
((((-577) |#1|) . T))
((((-577) |#1|) . T))
((((-577) |#1|) . T))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
((((-577) |#1|) . T))
(((|#1|) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-577)) . T) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-577)) . T) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174)))
((((-1206)) |has| |#1| (-926 (-1206))) (((-839 (-1206))) . T))
-(-2867 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-814)) (|has| |#3| (-1079)))
+(-2816 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-814)) (|has| |#3| (-1079)))
((((-840 |#1|)) . T))
(((|#1| |#2|) . T))
((((-885)) . T))
@@ -3777,21 +3777,21 @@
(((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)) (((-420 (-577))) |has| |#1| (-569)))
(((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
(|has| |#1| (-375))
-(-2867 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))))
+(-2816 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))))
(|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))
(|has| |#1| (-375))
(((|#1|) . T))
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+(((#0=(-420 (-577)) #0#) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1| |#1|) . T))
((((-1264 (-577)) $) . T) (((-577) |#1|) . T))
((((-327 |#1|)) . T))
((((-938 |#1|)) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
(((#0=(-720) (-1202 #0#)) . T))
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+((((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1|) . T))
(((|#1|) . T) (($) . T) (((-577)) . T) (((-420 (-577))) . T))
(((|#1| |#2| |#3| |#4|) . T))
(|has| |#1| (-869))
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+(((|#2|) . T) (((-1206)) -12 (|has| |#1| (-375)) (|has| |#2| (-1068 (-1206)))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-577)) . T) ((|#1|) |has| |#1| (-174)))
+(((|#2|) . T) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) -2816 (|has| |#1| (-375)) (|has| |#1| (-569))))
((($ $) . T) ((#0=(-887 |#1|) $) . T) ((#0# |#2|) . T))
((((-1155 |#1| (-1206))) . T) (((-839 (-1206))) . T) ((|#1|) . T) (((-577)) |has| |#1| (-1068 (-577))) (((-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) (((-1206)) . T))
((($) . T))
@@ -3810,12 +3810,12 @@
(((#0=(-1283 |#1| |#2| |#3| |#4|)) |has| #0# (-320 #0#)))
((($) . T))
(((|#1|) . T))
-((($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2| |#2|) |has| |#1| (-375)) ((|#1| |#1|) . T))
-(((|#1| |#1|) . T) (($ $) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
+((($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2| |#2|) |has| |#1| (-375)) ((|#1| |#1|) . T))
+(((|#1| |#1|) . T) (($ $) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
(|has| |#2| (-239))
(|has| $ (-148))
((((-885)) . T))
-((($) . T) (((-420 (-577))) -2867 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
+((($) . T) (((-420 (-577))) -2816 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
((((-885)) . T))
(|has| |#1| (-869))
((((-130)) . T))
@@ -3823,7 +3823,7 @@
((((-420 (-577))) . T) (((-720)) . T) (($) . T) (((-577)) . T))
(((|#1|) . T))
((((-130)) . T))
-((($ (-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
+((($ (-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))))
((((-885)) . T))
(-12 (|has| |#1| (-318)) (|has| |#1| (-937)))
(((|#2| (-693 |#1|)) . T))
@@ -3832,24 +3832,24 @@
((((-885)) |has| |#1| (-1130)))
(((|#4|) . T))
(|has| |#1| (-569))
-((($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2|) |has| |#1| (-375)) ((|#1|) . T))
-((((-1206)) -2867 (-12 (|has| (-1289 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
-(((|#1|) . T) (($) -2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2867 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
+((($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2|) |has| |#1| (-375)) ((|#1|) . T))
+((((-1206)) -2816 (-12 (|has| (-1289 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
+(((|#1|) . T) (($) -2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2816 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((((-1264 (-577)) $) . T) (((-577) |#1|) . T))
-(-2867 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+(-2816 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-792) |#1|))) (|has| |#1| (-926 (-1206)))))
(((|#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1130))))
(((|#1|) . T))
(((|#1| (-544 (-839 (-1206)))) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
((((-577)) . T) ((|#2|) . T) (($) . T) (((-420 (-577))) . T) (((-1206)) |has| |#2| (-1068 (-1206))))
(((|#1|) . T))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
(((|#1|) . T))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
-(-2867 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-814)) (|has| |#2| (-814))))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
+(-2816 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-814)) (|has| |#2| (-814))))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)))
((($) . T) (((-893 |#1|)) . T) (((-420 (-577))) . T))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-375)))
@@ -3858,15 +3858,15 @@
(((|#1|) . T))
(((|#1|) . T))
((((-420 |#2|)) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-549)) |has| |#1| (-632 (-549))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-549)) |has| |#1| (-632 (-549))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-549)) |has| |#1| (-632 (-549))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
(((|#1|) . T))
(((|#2| |#2|) . T) ((#0=(-420 (-577)) #0#) . T) (($ $) . T))
(((|#2|) . T) (((-420 (-577))) . T) (($) . T))
@@ -3886,7 +3886,7 @@
((((-885)) . T))
((((-885)) . T))
((((-885)) . T))
-(-2867 (|has| |#1| (-239)) (|has| |#1| (-238)))
+(-2816 (|has| |#1| (-239)) (|has| |#1| (-238)))
(((|#1|) . T) (((-885)) . T) (((-1211)) . T))
((((-1211)) . T))
((((-885)) . T))
@@ -3895,21 +3895,21 @@
((((-656 |#2|)) . T))
(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1| (-544 (-887 |#2|)) (-887 |#2|) (-801 |#1| (-887 |#2|))) . T))
-((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
+((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))))
(((|#2|) . T) ((|#6|) . T))
((($) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (((-577)) |has| |#2| (-659 (-577))))
((($) . T) (((-577)) . T))
-((($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
((((-1134)) . T))
((((-885)) . T))
((((-1211)) . T) (((-885)) . T))
((((-1211)) . T) (((-885)) . T))
((((-1211)) . T))
((((-1211)) . T))
-((($) -2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
((($) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
((($) . T) (((-577)) . T))
-((($) -2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
+((($) -2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(|has| |#2| (-937))
(((|#1| |#2| (-246 |#1| |#2|) (-246 |#1| |#2|)) . T))
((((-885)) . T))
@@ -3925,9 +3925,9 @@
(((|#1| |#1|) |has| |#1| (-174)))
((((-720)) . T))
((((-720)) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
((((-1211)) . T))
-(-2867 (|has| |#2| (-814)) (|has| |#2| (-870)))
+(-2816 (|has| |#2| (-814)) (|has| |#2| (-870)))
(((|#1|) |has| |#1| (-174)))
((((-1211)) . T))
(((|#1| |#1|) . T))
@@ -3940,19 +3940,19 @@
(((|#1| (-577)) . T))
(((|#1|) . T))
((((-420 (-577))) . T) (((-577)) . T) (($) . T))
-((($ (-1206)) -2867 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ (-1112)) . T))
+((($ (-1206)) -2816 (|has| |#1| (-926 (-1206))) (|has| |#1| (-928 (-1206)))) (($ (-1112)) . T))
(((|#1|) |has| |#1| (-174)))
((((-1211)) . T))
((((-1211)) . T))
((((-1211)) . T))
((((-1211)) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
((((-1211)) . T))
((((-1211)) . T))
(|has| |#1| (-375))
(|has| |#1| (-375))
-(-2867 (|has| |#1| (-174)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-174)) (|has| |#1| (-569)))
(((|#1| (-577)) . T))
(((|#1| (-420 (-577))) . T))
(((|#1| (-792)) . T))
@@ -3960,24 +3960,24 @@
(((|#1| (-544 |#2|) |#2|) . T))
((((-577) |#1|) . T))
((((-577) |#1|) . T))
-(-2867 (|has| |#1| (-102)) (|has| |#1| (-1130)))
-(-2867 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238)))
+(-2816 (|has| |#1| (-102)) (|has| |#1| (-1130)))
+(-2816 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238)))
((((-577) |#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
((((-916 (-391))) . T) (((-916 (-577))) . T) (((-1206)) . T) (((-549)) . T))
-(-2867 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
-(-2867 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-814)) (|has| |#2| (-814))))
+(-2816 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-814)) (|has| |#2| (-1079)))
+(-2816 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-814)) (|has| |#2| (-814))))
((((-885)) . T))
((((-577)) . T))
((((-577)) . T))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#1| |#2|) . T))
(((|#1|) . T))
((((-1206)) -12 (|has| |#2| (-926 (-1206))) (|has| |#2| (-1079))))
(|has| |#2| (-1079))
-(-2867 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-747)) (|has| |#2| (-747))))
+(-2816 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-747)) (|has| |#2| (-747))))
(|has| |#1| (-146))
(|has| |#1| (-148))
(|has| |#1| (-375))
@@ -4010,7 +4010,7 @@
(((|#1| |#2|) . T))
((((-577)) . T) ((|#2|) |has| |#2| (-174)))
((((-115)) . T) ((|#1|) . T) (((-577)) . T))
-(-2867 (|has| |#1| (-361)) (|has| |#1| (-380)))
+(-2816 (|has| |#1| (-361)) (|has| |#1| (-380)))
(((|#1| |#2|) . T))
((((-228)) . T))
((((-420 (-577))) . T) (($) . T) (((-577)) . T))
@@ -4019,11 +4019,11 @@
((($) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (((-577)) |has| |#1| (-659 (-577))))
((($) . T) (((-577)) |has| |#1| (-659 (-577))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))))
(((|#2|) |has| |#2| (-1130)) (((-577)) -12 (|has| |#2| (-1068 (-577))) (|has| |#2| (-1130))) (((-420 (-577))) -12 (|has| |#2| (-1068 (-420 (-577)))) (|has| |#2| (-1130))))
-(-2867 (|has| |#2| (-239)) (|has| |#2| (-238)))
+(-2816 (|has| |#2| (-239)) (|has| |#2| (-238)))
(((|#1|) . T))
(((|#1|) . T))
((((-549)) |has| |#1| (-632 (-549))))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-870)) (|has| |#1| (-1130))))
((((-577) $) . T) (((-665 (-577)) $) . T))
((($) . T) (((-420 (-577))) . T))
(|has| |#1| (-937))
@@ -4035,14 +4035,14 @@
(((|#1| |#1|) |has| |#1| (-174)))
(((|#1|) . T) (((-577)) . T))
((((-1211)) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-569)))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-869)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-569)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-869)))
(((|#2|) . T))
-(-2867 (|has| |#1| (-21)) (|has| |#1| (-869)))
+(-2816 (|has| |#1| (-21)) (|has| |#1| (-869)))
(((|#1|) |has| |#1| (-174)))
(((|#1|) . T))
(((|#1|) . T))
-((((-885)) -2867 (-12 (|has| |#1| (-631 (-885))) (|has| |#2| (-631 (-885)))) (-12 (|has| |#1| (-1130)) (|has| |#2| (-1130)))))
+((((-885)) -2816 (-12 (|has| |#1| (-631 (-885))) (|has| |#2| (-631 (-885)))) (-12 (|has| |#1| (-1130)) (|has| |#2| (-1130)))))
((((-420 |#2|) |#3|) . T))
((((-420 (-577))) . T) (($) . T))
(|has| |#1| (-38 (-420 (-577))))
@@ -4051,7 +4051,7 @@
((($) . T) (((-577)) . T))
(|has| (-420 |#2|) (-148))
(|has| (-420 |#2|) (-146))
-(-2867 (|has| |#3| (-814)) (|has| |#3| (-870)))
+(-2816 (|has| |#3| (-814)) (|has| |#3| (-870)))
((($) . T))
((((-720)) . T))
(((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T))
@@ -4067,7 +4067,7 @@
((((-1211)) . T))
((((-577)) . T))
(((|#2|) . T))
-((((-1206)) -2867 (-12 (|has| (-1204 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
+((((-1206)) -2816 (-12 (|has| (-1204 |#1| |#2| |#3|) (-926 (-1206))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-926 (-1206)))))
((((-1206)) -12 (|has| |#1| (-15 * (|#1| (-792) |#1|))) (|has| |#1| (-926 (-1206)))))
(((|#1| |#1|) . T) (($ $) . T))
@@ -4083,11 +4083,11 @@
((((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)))
((((-1170 |#1| |#2|)) . T))
((((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)))
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-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) . T))
+(((|#2|) . T) (((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) . T))
((($) . T))
(|has| |#1| (-1052))
-(((|#2|) . T) (((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+(((|#2|) . T) (((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
((($) . T))
((((-885)) . T))
((((-549)) |has| |#2| (-632 (-549))) (((-916 (-577))) |has| |#2| (-632 (-916 (-577)))) (((-916 (-391))) |has| |#2| (-632 (-916 (-391)))) (((-391)) . #0=(|has| |#2| (-1052))) (((-228)) . #0#))
@@ -4096,7 +4096,7 @@
(((|#1|) . T))
(|has| |#1| (-38 (-420 (-577))))
(|has| |#1| (-38 (-420 (-577))))
-((((-1206)) -2867 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
+((((-1206)) -2816 (|has| |#2| (-926 (-1206))) (|has| |#2| (-928 (-1206)))))
((((-885)) . T))
(((|#2|) . T))
((((-885)) . T))
@@ -4106,15 +4106,15 @@
((((-1204 |#1| |#2| |#3|)) . T))
((((-1204 |#1| |#2| |#3|)) . T) (((-1197 |#1| |#2| |#3|)) . T))
((((-885)) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
((((-577) |#1|) . T))
((((-1204 |#1| |#2| |#3|)) |has| |#1| (-375)))
(((|#1| |#2| |#3| |#4|) . T))
(((|#1|) . T))
(((|#2|) . T))
(|has| |#2| (-375))
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+(((|#3|) . T) ((|#2|) . T) ((|#4|) -2816 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1079))) (($) |has| |#4| (-1079)) (((-577)) -12 (|has| |#4| (-659 (-577))) (|has| |#4| (-1079))))
+(((|#2|) . T) ((|#3|) -2816 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1079))) (($) |has| |#3| (-1079)) (((-577)) -12 (|has| |#3| (-659 (-577))) (|has| |#3| (-1079))))
(((|#1|) . T))
(((|#1|) . T))
((((-117 |#1|)) . T))
@@ -4128,7 +4128,7 @@
((((-189)) . T) (((-885)) . T))
((((-885)) . T))
(((|#1|) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
((((-577) |#1|) . T) (((-1264 (-577)) $) . T))
((((-885)) . T))
(((|#1|) . T))
@@ -4136,14 +4136,14 @@
(((|#1|) . T))
(((|#2| $) -12 (|has| |#1| (-375)) (|has| |#2| (-297 |#2| |#2|))) (($ $) . T) (((-577) |#1|) . T))
((($ $) . T) (((-420 (-577)) |#1|) . T))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-937)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-937)))
((($ (-1206)) |has| |#1| (-1079)))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
((((-885)) . T))
((((-885)) . T))
((((-885)) . T))
(((|#1| (-544 |#2|)) . T))
-((((-2 (|:| -4376 (-1206)) (|:| -2727 (-52)))) . T))
+((((-2 (|:| -4375 (-1206)) (|:| -3988 (-52)))) . T))
((((-577) (-130)) . T))
(((|#1| (-577)) . T))
(((|#1| (-420 (-577))) . T))
@@ -4158,8 +4158,8 @@
((((-1211)) . T))
((((-885)) . T) (((-1211)) . T))
((((-885)) . T) (((-1211)) . T))
-(-2867 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
-(-2867 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
+(-2816 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937)))
+(-2816 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-937)))
((($) . T))
(((|#2| (-544 (-887 |#1|))) . T))
((((-1211)) . T))
@@ -4174,7 +4174,7 @@
((((-1211)) . T))
((((-885)) . T) (((-1211)) . T))
((((-1211)) . T))
-((((-885)) -2867 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
+((((-885)) -2816 (|has| |#1| (-631 (-885))) (|has| |#1| (-1130))))
(((|#1| |#2|) . T))
(((|#1|) . T))
((((-1188) |#1|) . T))
@@ -4182,7 +4182,7 @@
((((-420 |#2|)) . T))
(|has| |#1| (-569))
(|has| |#1| (-569))
-((((-2 (|:| -4376 |#1|) (|:| -2727 |#2|))) . T))
+((((-2 (|:| -4375 |#1|) (|:| -3988 |#2|))) . T))
(((|#2| (-792)) . T))
((($) . T) ((|#2|) . T))
((($) . T) (((-420 (-577))) . T))
@@ -4192,14 +4192,14 @@
((((-577)) . T) (($) . T))
(((|#2| $) |has| |#2| (-297 |#2| |#2|)))
(((|#1| (-665 |#1|)) |has| |#1| (-869)))
-(-2867 (|has| |#1| (-239)) (|has| |#1| (-361)))
-(-2867 (|has| |#1| (-375)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-239)) (|has| |#1| (-361)))
+(-2816 (|has| |#1| (-375)) (|has| |#1| (-361)))
((((-1293 |#1|)) . T) (((-577)) . T) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-1068 (-420 (-577)))))
(|has| |#1| (-1130))
(((|#1|) . T))
((((-420 (-577))) . T) (($) . T))
-((((-1293 |#1|)) . T) (((-577)) . T) (($) -2867 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) (((-1112)) . T) ((|#2|) . T) (((-420 (-577))) -2867 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1068 (-420 (-577))))))
-((((-1029 |#1|)) . T) ((|#1|) . T) (((-577)) -2867 (|has| (-1029 |#1|) (-1068 (-577))) (|has| |#1| (-1068 (-577)))) (((-420 (-577))) -2867 (|has| (-1029 |#1|) (-1068 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))))
+((((-1293 |#1|)) . T) (((-577)) . T) (($) -2816 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-937))) (((-1112)) . T) ((|#2|) . T) (((-420 (-577))) -2816 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1068 (-420 (-577))))))
+((((-1029 |#1|)) . T) ((|#1|) . T) (((-577)) -2816 (|has| (-1029 |#1|) (-1068 (-577))) (|has| |#1| (-1068 (-577)))) (((-420 (-577))) -2816 (|has| (-1029 |#1|) (-1068 (-420 (-577)))) (|has| |#1| (-1068 (-420 (-577))))))
((((-938 |#1|)) . T) (((-420 (-577))) . T) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))))
@@ -4216,11 +4216,11 @@
(((|#1| |#2| |#3| |#4|) . T))
(((#0=(-1170 |#1| |#2|) #0#) |has| (-1170 |#1| |#2|) (-320 (-1170 |#1| |#2|))))
(((|#1|) . T))
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-(-2867 (|has| |#1| (-239)) (|has| |#1| (-238)))
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+(-2816 (|has| |#1| (-239)) (|has| |#1| (-238)))
(((#0=(-117 |#1|)) |has| #0# (-320 #0#)))
((($ $) . T))
-(-2867 (|has| |#1| (-870)) (|has| |#1| (-1130)))
+(-2816 (|has| |#1| (-870)) (|has| |#1| (-1130)))
((($ $) . T) ((#0=(-887 |#1|) $) . T) ((#0# |#2|) . T))
((($ $) . T) ((|#2| $) |has| |#1| (-239)) ((|#2| |#1|) |has| |#1| (-239)) ((|#3| |#1|) . T) ((|#3| $) . T))
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((-584 . -1079) T) ((-1103 . -631) 202942) ((-683 . -738) 202926) ((-1096 . -503) 202907) ((-1096 . -631) 202873) ((-986 . -299) 202850) ((-60 . -34) T) ((-1092 . -816) T) ((-1092 . -813) T) ((-1066 . -503) 202831) ((-1049 . -503) 202812) ((-837 . -747) T) ((-752 . -47) 202777) ((-641 . -38) 202764) ((-367 . -301) T) ((-364 . -301) T) ((-356 . -301) T) ((-274 . -301) 202695) ((-254 . -301) 202626) ((-1066 . -631) 202592) ((-1054 . -102) T) ((-1049 . -631) 202558) ((-644 . -503) 202539) ((-426 . -747) T) ((-118 . -38) 202484) ((-496 . -503) 202465) ((-644 . -631) 202431) ((-426 . -486) T) ((-221 . -503) 202412) ((-496 . -631) 202378) ((-366 . -102) T) ((-221 . -631) 202344) ((-1241 . -1088) T) ((-355 . -667) 202274) ((-732 . -1088) T) ((-1204 . -47) 202251) ((-1203 . -47) 202221) ((-1197 . -47) 202198) ((-129 . -299) 202173) ((-1065 . -152) 202119) ((-938 . -301) T) ((-1156 . -47) 202091) ((-715 . -320) NIL) ((-528 . -631) 202073) ((-523 . -631) 202055) ((-521 . -631) 202037) ((-498 . 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((-533 . -1247) T) ((-1197 . -350) 199571) ((-1171 . -502) 199542) ((-1197 . -389) 199494) ((-1117 . -1088) T) ((-450 . -102) T) ((-185 . -1130) T) ((-259 . -34) T) ((-258 . -34) T) ((-1188 . -873) T) ((-871 . -634) 199478) ((-803 . -1088) T) ((-801 . -1088) T) ((-752 . -926) 199455) ((-467 . -1088) T) ((-59 . -502) 199439) ((-1064 . -1086) 199413) ((-532 . -502) 199397) ((-529 . -502) 199381) ((-510 . -502) 199365) ((-509 . -502) 199349) ((-251 . -527) 199282) ((-1064 . -111) 199249) ((-1204 . -926) 199162) ((-1203 . -926) 199068) ((-691 . -1142) T) ((-1197 . -926) 198901) ((-666 . -93) T) ((-1156 . -926) 198885) ((-366 . -1182) T) ((-333 . -1086) 198867) ((-31 . -503) 198848) ((-259 . -815) 198827) ((-259 . -814) 198806) ((-258 . -815) 198785) ((-258 . -814) 198764) ((-31 . -631) 198730) ((-50 . -1088) T) ((-259 . -747) 198708) ((-258 . -747) 198686) ((-1241 . -1130) T) ((-691 . -23) T) ((-594 . -1088) T) ((-531 . -1088) T) ((-391 . -1086) 198651) ((-333 . -111) 198626) ((-73 . -395) T) ((-73 . -408) T) ((-1054 . -38) 198563) ((-715 . -413) 198545) ((-99 . -102) T) ((-1326 . -1081) 198532) ((-732 . -1130) T) ((-1143 . -873) 198483) ((-1033 . -146) 198455) ((-1033 . -148) 198427) ((-893 . -667) 198399) ((-391 . -111) 198355) ((-330 . -1251) 198334) ((-487 . -1032) 198300) ((-366 . -38) 198265) ((-40 . -382) 198237) ((-896 . -631) 198109) ((-128 . -126) 198093) ((-122 . -126) 198077) ((-857 . -1086) 198047) ((-854 . -21) 197999) ((-848 . -1086) 197983) ((-854 . -25) 197935) ((-330 . -569) 197886) ((-530 . -634) 197867) ((-577 . -849) T) ((-246 . -1247) T) ((-1064 . -634) 197836) ((-857 . -111) 197801) ((-848 . -111) 197780) ((-1281 . -631) 197762) ((-1260 . -631) 197744) ((-1260 . -632) 197415) ((-1202 . -937) 197394) ((-1155 . -937) 197373) ((-48 . -38) 197338) ((-1319 . -1142) T) ((-549 . -297) 197294) ((-615 . -631) 197206) ((-615 . -632) 197167) ((-1317 . -1142) T) ((-373 . -634) 197151) ((-333 . -634) 197135) ((-1172 . -238) 197086) ((-246 . -1068) 196913) ((-1202 . -669) 196802) ((-1155 . -669) 196691) ((-877 . -669) 196665) ((-739 . -631) 196647) ((-559 . -380) T) ((-1319 . -23) T) ((-715 . -928) NIL) ((-1317 . -23) T) ((-504 . -1130) T) ((-391 . -634) 196597) ((-391 . -636) 196579) ((-1064 . -1079) T) ((-888 . -102) T) ((-1219 . -297) 196558) ((-171 . -380) 196509) ((-1034 . -1247) T) ((-1001 . -1247) T) ((-942 . -1247) T) ((-857 . -634) 196463) ((-848 . -634) 196418) ((-44 . -23) T) ((-1326 . -102) T) ((-492 . -297) 196397) ((-599 . -1130) T) ((-1176 . -1139) 196366) ((-440 . -1247) T) ((-1134 . -1133) 196318) ((-403 . -21) T) ((-403 . -25) T) ((-153 . -1142) T) ((-1241 . -738) 196215) ((-1227 . -1130) T) ((-1034 . -908) 196197) ((-1034 . -910) 196179) ((-641 . -233) 196163) ((-641 . -273) 196147) ((-639 . -21) T) ((-300 . -569) T) ((-639 . -25) T) ((-1034 . -1068) 196107) ((-732 . -738) 196072) ((-246 . -389) 196041) ((-391 . -1079) T) ((-226 . -1088) T) ((-118 . -273) 196018) ((-118 . -233) 195995) ((-59 . -297) 195947) ((-153 . -23) T) ((-529 . -297) 195899) ((-338 . -527) 195832) ((-509 . -297) 195784) ((-391 . -249) T) ((-391 . -239) T) ((-857 . -1079) T) ((-848 . -1079) T) ((-733 . -977) 195753) ((-722 . -870) T) ((-630 . -873) T) ((-487 . -631) 195735) ((-1283 . -1081) 195640) ((-593 . -667) 195612) ((-577 . -667) 195584) ((-508 . -667) 195534) ((-848 . -239) 195513) ((-135 . -870) T) ((-1283 . -661) 195405) ((-679 . -1130) T) ((-1219 . -617) 195384) ((-563 . -1223) 195363) ((-348 . -1130) T) ((-330 . -375) 195342) ((-420 . -148) 195321) ((-420 . -146) 195300) ((-992 . -1142) 195199) ((-836 . -1142) 195177) ((-246 . -926) 195109) ((-675 . -875) 195093) ((-492 . -617) 195072) ((-110 . -873) T) ((-537 . -1247) T) ((-563 . -107) 195022) ((-1034 . -389) 195004) ((-1034 . -350) 194986) ((-1206 . -631) 194968) ((-97 . -1130) T) ((-992 . -23) 194779) ((-490 . -21) T) ((-490 . -25) T) ((-836 . -23) 194631) ((-1206 . -632) 194553) ((-59 . -19) 194537) ((-1202 . -747) T) ((-1155 . -747) T) ((-1117 . -1130) T) ((-529 . -19) 194521) ((-509 . -19) 194505) ((-59 . -617) 194482) ((-1033 . -238) 194419) ((-929 . -102) 194369) ((-877 . -747) T) ((-803 . -1130) T) ((-529 . -617) 194346) ((-509 . -617) 194323) ((-801 . -1130) T) ((-801 . -1095) 194290) ((-474 . -1130) T) ((-467 . -1130) T) ((-599 . -738) 194265) ((-670 . -1130) T) ((-1289 . -47) 194242) ((-1283 . -102) T) ((-1282 . -47) 194212) ((-1261 . -47) 194189) ((-1241 . -174) 194140) ((-1203 . -318) 194119) ((-1197 . -318) 194098) ((-1126 . -634) 194079) ((-1120 . -634) 194060) ((-1110 . -569) 194011) ((-1110 . -1251) 193962) ((-1103 . -634) 193943) ((-1034 . -926) NIL) ((-1096 . -634) 193924) ((-691 . -132) T) ((-645 . -1142) T) ((-1066 . -634) 193905) ((-1049 . -634) 193886) ((-735 . -1086) 193856) ((-733 . -920) 193759) ((-720 . -667) 193709) ((-285 . -1130) T) ((-85 . -454) T) ((-85 . -408) T) ((-732 . -174) T) ((-658 . -1086) 193693) ((-50 . -1130) T) ((-608 . -47) 193670) ((-228 . -669) 193635) ((-594 . -1130) T) ((-531 . -1130) T) ((-500 . -841) T) ((-500 . -948) T) ((-371 . -1251) T) ((-365 . -1251) T) ((-357 . -1251) T) ((-330 . -1142) T) ((-327 . -1081) 193545) ((-324 . -1081) 193474) ((-108 . -1251) T) ((-644 . -634) 193455) ((-371 . -569) T) ((-220 . -948) T) ((-220 . -841) T) ((-327 . -661) 193365) ((-324 . -661) 193294) ((-365 . -569) T) ((-357 . -569) T) ((-658 . -111) 193273) ((-496 . -634) 193254) ((-108 . -569) T) ((-1197 . -1052) NIL) ((-679 . -738) 193224) ((-495 . -873) 193175) ((-221 . -634) 193156) ((-330 . -23) T) ((-67 . -1247) T) ((-1030 . -631) 193088) ((-1326 . -1182) T) ((-715 . -273) 193070) ((-715 . -233) 193052) ((-1321 . -21) T) ((-735 . -111) 193017) ((-1321 . -25) T) ((-665 . -34) T) ((-251 . -502) 193001) ((-1319 . -132) T) ((-1317 . -132) T) ((-1310 . -102) T) ((-1293 . -631) 192967) ((-1132 . -1128) 192951) ((-173 . -1130) T) ((-1289 . -1247) T) ((-1282 . -1247) T) ((-1282 . -1068) 192886) ((-1261 . -1247) T) ((-1261 . -910) NIL) ((-980 . -937) 192865) ((-1261 . -908) 192817) ((-1261 . -1068) 192783) ((-1241 . -527) 192750) ((-528 . -634) 192734) ((-1219 . -632) NIL) ((-1219 . -631) 192716) ((-1172 . -1153) 192661) ((-494 . -937) 192640) ((-1117 . -738) 192489) ((-1092 . -669) 192461) ((-980 . -669) 192350) ((-839 . -873) T) ((-803 . -738) 192179) ((-610 . -503) 192160) ((-598 . -503) 192141) ((-610 . -631) 192107) ((-598 . -631) 192073) ((-549 . -631) 192055) ((-592 . -1247) T) ((-549 . -632) 192036) ((-801 . -738) 191885) ((-1107 . -102) T) ((-641 . -667) 191857) ((-393 . -25) T) ((-393 . -21) T) ((-494 . -669) 191746) ((-474 . -738) 191717) ((-467 . -738) 191566) ((-1017 . -102) T) ((-1076 . -1240) 191495) ((-929 . -320) 191433) ((-758 . -102) T) ((-658 . -634) 191410) ((-118 . -667) 191340) ((-899 . -93) T) ((-735 . -634) 191294) ((-702 . -93) T) ((-544 . -25) T) ((-697 . -93) T) ((-685 . -631) 191276) ((-666 . -503) 191257) ((-666 . -631) 191210) ((-142 . -102) T) ((-44 . -132) T) ((-609 . -1247) T) ((-608 . -1247) T) ((-355 . -1088) T) ((-300 . -1142) T) ((-491 . -93) T) ((-420 . -238) 191161) ((-367 . -631) 191143) ((-364 . -631) 191125) ((-356 . -631) 191107) ((-274 . -632) 190855) ((-274 . -631) 190837) ((-254 . -631) 190819) ((-254 . -632) 190680) ((-139 . -93) T) ((-138 . -93) T) ((-134 . -93) T) ((-1171 . -631) 190662) ((-1150 . -661) 190649) ((-1150 . -1081) 190636) ((-840 . -747) T) ((-840 . -880) T) ((-615 . -299) 190613) ((-594 . -738) 190578) ((-492 . -632) NIL) ((-492 . -631) 190560) ((-531 . -738) 190505) ((-327 . -102) T) ((-324 . -102) T) ((-300 . -23) T) ((-153 . -132) T) ((-938 . -631) 190487) ((-938 . -632) 190469) ((-399 . -747) T) ((-895 . -1086) 190421) ((-895 . -111) 190359) ((-735 . -1079) T) ((-733 . -1273) 190343) ((-715 . -361) NIL) ((-115 . -102) T) ((-140 . -102) T) ((-137 . -102) T) ((-532 . -631) 190275) ((-391 . -816) T) ((-169 . -1247) T) ((-226 . -1130) T) ((-391 . -813) T) ((-59 . -632) 190236) ((-228 . -815) T) ((-228 . -812) T) ((-59 . -631) 190148) ((-228 . -747) T) ((-529 . -632) 190109) ((-529 . -631) 190021) ((-510 . -631) 189953) ((-509 . -632) 189914) ((-509 . -631) 189826) ((-1110 . -375) 189777) ((-40 . -424) 189754) ((-77 . -1247) T) ((-894 . -937) NIL) ((-371 . -340) 189738) ((-371 . -375) T) ((-365 . -340) 189722) ((-365 . -375) T) ((-357 . -340) 189706) ((-357 . -375) T) ((-327 . -295) 189685) ((-108 . -375) T) ((-70 . -1247) T) ((-660 . -1130) T) ((-1261 . -350) 189637) ((-894 . -669) 189582) ((-1261 . -389) 189534) ((-992 . -132) 189389) ((-836 . -132) 189260) ((-45 . -873) NIL) ((-986 . -672) 189244) ((-1117 . -174) 189155) ((-986 . -385) 189139) ((-1092 . -815) T) ((-1092 . -812) T) ((-895 . -634) 189037) ((-803 . -174) 188928) ((-801 . -174) 188839) ((-837 . -47) 188801) ((-1092 . -747) T) ((-338 . -502) 188785) ((-980 . -747) T) ((-1310 . -320) 188723) ((-1289 . -926) 188636) ((-467 . -174) 188547) ((-251 . -297) 188499) ((-1282 . -926) 188405) ((-1281 . -1086) 188240) ((-1261 . -926) 188073) ((-494 . -747) T) ((-1260 . -1086) 187881) ((-1241 . -301) 187860) ((-1216 . -1247) T) ((-1213 . -380) T) ((-1212 . -380) T) ((-1176 . -152) 187844) ((-1150 . -102) T) ((-1148 . -1130) T) ((-1110 . -23) T) ((-1110 . -1142) T) ((-1105 . -102) T) ((-1087 . -631) 187811) ((-1033 . -422) 187783) ((-955 . -983) T) ((-758 . -320) 187721) ((-75 . -1247) T) ((-685 . -394) 187693) ((-171 . -937) 187646) ((-30 . -983) T) ((-112 . -865) T) ((-1 . -631) 187628) ((-1029 . -920) 187549) ((-129 . -672) 187531) ((-50 . -638) 187515) ((-715 . -667) 187450) ((-608 . -926) 187363) ((-451 . -102) T) ((-129 . -385) 187345) ((-142 . -320) NIL) ((-895 . -1079) T) ((-854 . -870) 187324) ((-81 . -1247) T) ((-732 . -301) T) ((-40 . -1088) T) ((-594 . -174) T) ((-531 . -174) T) ((-524 . -631) 187306) ((-171 . -669) 187180) ((-520 . -631) 187162) ((-363 . -148) 187144) ((-363 . -146) T) ((-371 . -1142) T) ((-365 . -1142) T) ((-357 . -1142) T) ((-1034 . -318) T) ((-942 . -318) T) ((-895 . -249) T) ((-108 . -1142) T) ((-895 . -239) 187123) ((-1281 . -111) 186944) ((-1260 . -111) 186733) ((-251 . -1285) 186717) ((-577 . -869) T) ((-371 . -23) T) ((-366 . -361) T) ((-327 . -320) 186704) ((-324 . -320) 186645) ((-365 . -23) T) ((-330 . -132) T) ((-357 . -23) T) ((-1034 . -1052) T) ((-31 . -634) 186626) ((-108 . -23) T) ((-675 . -1081) 186610) ((-251 . -617) 186587) ((-660 . -738) 186571) ((-344 . -1130) T) ((-675 . -661) 186541) ((-1283 . -38) 186433) ((-1270 . -937) 186412) ((-112 . -1130) T) ((-837 . -1247) T) ((-426 . -1247) T) ((-1065 . -102) T) ((-1270 . -669) 186301) ((-894 . -815) NIL) ((-878 . -669) 186275) ((-894 . -812) NIL) ((-837 . -910) NIL) ((-894 . -747) T) ((-1117 . -527) 186148) ((-803 . -527) 186095) ((-801 . -527) 186047) ((-584 . -669) 186034) ((-837 . -1068) 185862) ((-467 . -527) 185805) ((-401 . -402) T) ((-1281 . -634) 185618) ((-1260 . -634) 185366) ((-60 . -1247) T) ((-639 . -870) 185345) ((-513 . -682) T) ((-1176 . -1006) 185314) ((-1054 . -667) 185251) ((-1033 . -465) T) ((-720 . -869) T) ((-523 . -813) T) ((-487 . -1086) 185086) ((-513 . -113) T) ((-355 . -1130) T) ((-324 . -1182) NIL) ((-300 . -132) T) ((-407 . -1130) T) ((-893 . -1088) T) ((-715 . -382) 185053) ((-366 . -667) 184983) ((-226 . -638) 184960) ((-338 . -297) 184912) ((-487 . -111) 184733) ((-1281 . -1079) T) ((-1260 . -1079) T) ((-837 . -389) 184717) ((-845 . -1247) T) ((-171 . -747) T) ((-1312 . -1247) T) ((-675 . -102) T) ((-1281 . -249) 184696) ((-1281 . -239) 184648) ((-1260 . -239) 184553) ((-1260 . -249) 184532) ((-1033 . -415) NIL) ((-691 . -659) 184480) ((-327 . -38) 184390) ((-324 . -38) 184319) ((-69 . -631) 184301) ((-330 . -506) 184267) ((-48 . -667) 184217) ((-1219 . -299) 184196) ((-1255 . -870) T) ((-1143 . -1142) 184174) ((-83 . -1247) T) ((-61 . -631) 184156) ((-887 . -873) T) ((-492 . -299) 184135) ((-1312 . -1068) 184112) ((-1194 . -1130) T) ((-1143 . -23) 183964) ((-837 . -926) 183900) ((-1270 . -747) T) ((-1132 . -1247) T) ((-487 . -634) 183726) ((-363 . -238) T) ((-1117 . -301) 183657) ((-994 . -1130) T) ((-917 . -102) T) ((-803 . -301) 183568) ((-338 . -19) 183552) ((-59 . -299) 183529) ((-801 . -301) 183460) ((-878 . -747) T) ((-118 . -869) NIL) ((-529 . -299) 183437) ((-338 . -617) 183414) ((-509 . -299) 183391) ((-467 . -301) 183322) ((-1065 . -320) 183173) ((-899 . -503) 183154) ((-899 . -631) 183120) ((-702 . -503) 183101) ((-584 . -747) T) ((-697 . -503) 183082) ((-702 . -631) 183032) ((-697 . -631) 182998) ((-683 . -631) 182980) ((-491 . -503) 182961) ((-491 . -631) 182927) ((-251 . -632) 182888) ((-251 . -503) 182865) ((-139 . -503) 182846) ((-138 . -503) 182827) ((-134 . -503) 182808) ((-251 . -631) 182700) ((-215 . -102) T) ((-139 . -631) 182666) ((-138 . -631) 182632) ((-134 . -631) 182598) ((-1177 . -34) T) ((-971 . -1247) T) ((-355 . -738) 182543) ((-691 . -25) T) ((-691 . -21) T) ((-1206 . -634) 182524) ((-342 . -1247) T) ((-487 . -1079) T) ((-653 . -430) 182489) ((-619 . -430) 182454) ((-1150 . -1182) T) ((-1282 . -318) 182433) ((-733 . -1081) 182256) ((-594 . -301) T) ((-531 . -301) T) ((-1261 . -318) 182235) ((-487 . -239) 182187) ((-487 . -249) 182166) ((-452 . -1247) T) ((-733 . -661) 181995) ((-1261 . -1052) NIL) ((-1110 . -132) T) ((-895 . -816) 181974) ((-145 . -102) T) ((-40 . -1130) T) ((-895 . -813) 181953) ((-665 . -1040) 181937) ((-593 . -1088) T) ((-577 . -1088) T) ((-508 . -1088) T) ((-420 . -465) T) ((-371 . -132) T) ((-327 . -413) 181921) ((-324 . -413) 181882) ((-365 . -132) T) ((-357 . -132) T) ((-1211 . -1130) T) ((-1150 . -38) 181869) ((-1124 . -631) 181836) ((-108 . -132) T) ((-982 . -1130) T) ((-949 . -1130) T) ((-792 . -1130) T) ((-693 . -1130) T) ((-722 . -148) T) ((-622 . -102) T) ((-117 . -148) T) ((-1319 . -21) T) ((-1319 . -25) T) ((-1317 . -21) T) ((-1317 . -25) T) ((-685 . -1086) 181820) ((-544 . -870) T) ((-513 . -870) T) ((-377 . -1247) T) ((-367 . -1086) 181772) ((-364 . -1086) 181724) ((-356 . -1086) 181676) ((-259 . -1247) T) ((-258 . -1247) T) ((-274 . -1086) 181519) ((-254 . -1086) 181362) ((-685 . -111) 181341) ((-838 . -1251) 181320) ((-560 . -865) T) ((-327 . -928) 181286) ((-367 . -111) 181224) ((-364 . -111) 181162) ((-356 . -111) 181100) ((-274 . -111) 180929) ((-254 . -111) 180758) ((-324 . -928) NIL) ((-641 . -424) 180742) ((-44 . -21) T) ((-44 . -25) T) ((-933 . -873) 180693) ((-130 . -682) T) ((-836 . -659) 180599) ((-838 . -569) 180578) ((-500 . -873) T) ((-259 . -1068) 180405) ((-258 . -1068) 180232) ((-127 . -120) 180216) ((-220 . -873) T) ((-938 . -1086) 180181) ((-733 . -102) T) ((-720 . -1088) T) ((-610 . -634) 180162) ((-598 . -634) 180143) ((-549 . -636) 180046) ((-355 . -174) T) ((-153 . -21) T) ((-153 . -25) T) ((-88 . -631) 180028) ((-938 . -111) 179984) ((-40 . -738) 179929) ((-893 . -1130) T) ((-685 . -634) 179906) ((-666 . -634) 179887) ((-367 . -634) 179824) ((-364 . -634) 179761) ((-356 . -634) 179698) ((-560 . -1130) T) ((-338 . -632) 179659) ((-338 . -631) 179571) ((-274 . -634) 179324) ((-254 . -634) 179109) ((-188 . -1247) T) ((-1260 . -813) 179062) ((-1260 . -816) 179015) ((-259 . -389) 178984) ((-258 . -389) 178953) ((-562 . -873) T) ((-675 . -38) 178923) ((-626 . -34) T) ((-495 . -1142) 178901) ((-488 . -34) T) ((-1143 . -132) 178772) ((-992 . -25) 178583) ((-938 . -634) 178533) ((-897 . -631) 178515) ((-217 . -865) T) ((-992 . -21) 178470) ((-836 . -25) 178303) ((-836 . -21) 178214) ((-1253 . -380) T) ((-641 . -1088) T) ((-1208 . -569) 178193) ((-1202 . -47) 178170) ((-367 . -1079) T) ((-364 . -1079) T) ((-495 . -23) 178022) ((-356 . -1079) T) ((-274 . -1079) T) ((-254 . -1079) T) ((-1155 . -47) 177994) ((-118 . -1088) T) ((-1064 . -669) 177968) ((-986 . -34) T) ((-367 . -239) 177947) ((-367 . -249) T) ((-364 . -239) 177926) ((-364 . -249) T) ((-356 . -239) 177905) ((-356 . -249) T) ((-274 . -337) 177877) ((-254 . -337) 177834) ((-274 . -239) 177813) ((-1187 . -152) 177797) ((-259 . -926) 177729) ((-258 . -926) 177661) ((-1172 . -920) 177582) ((-1112 . -870) T) ((-1264 . -1247) 177560) ((-427 . -1142) T) ((-1241 . -1032) 177526) ((-1084 . -23) T) ((-1054 . -869) T) ((-938 . -1079) T) ((-333 . -669) 177508) ((-722 . -238) T) ((-691 . -235) 177453) ((-1203 . -948) 177432) ((-1197 . -948) 177411) ((-1197 . -841) NIL) ((-1029 . -1081) 177307) ((-995 . -1247) T) ((-938 . -249) T) ((-838 . -375) 177286) ((-217 . -1130) T) ((-397 . -23) T) ((-128 . -1130) 177264) ((-122 . -1130) 177242) ((-938 . -239) T) ((-129 . -34) T) ((-391 . -669) 177207) ((-1029 . -661) 177155) ((-893 . -738) 177142) ((-1326 . -667) 177114) ((-1076 . -152) 177079) ((-1023 . -1247) T) ((-885 . -1247) T) ((-40 . -174) T) ((-715 . -424) 177061) ((-733 . -320) 177048) ((-857 . -669) 177008) ((-848 . -669) 176982) ((-330 . -25) T) ((-330 . -21) T) ((-679 . -297) 176961) ((-593 . -1130) T) ((-577 . -1130) T) ((-508 . -1130) T) ((-1202 . -1247) T) ((-251 . -299) 176938) ((-1155 . -1247) T) ((-877 . -1247) T) ((-324 . -273) 176899) ((-324 . -233) 176860) ((-1252 . -873) T) ((-1202 . -910) NIL) ((-55 . -1130) T) ((-1155 . -910) 176719) ((-130 . -870) T) ((-1202 . -1068) 176599) 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T) ((-665 . -1247) T) ((-1110 . -659) 175464) ((-1202 . -926) 175407) ((-1155 . -926) 175391) ((-836 . -235) 175282) ((-683 . -1086) 175266) ((-108 . -659) 175248) ((-495 . -132) 175119) ((-1208 . -1142) T) ((-840 . -1247) T) ((-980 . -47) 175088) ((-641 . -1130) T) ((-683 . -111) 175067) ((-504 . -631) 175033) ((-338 . -299) 175010) ((-399 . -1247) T) ((-335 . -1247) T) ((-494 . -47) 174967) ((-1208 . -23) T) ((-118 . -1130) T) ((-103 . -102) 174917) ((-1309 . -1142) T) ((-561 . -870) T) ((-228 . -1247) T) ((-1084 . -132) T) ((-1054 . -1088) T) ((-1309 . -23) T) ((-1227 . -631) 174899) ((-840 . -1068) 174883) ((-1150 . -849) T) ((-1033 . -745) 174855) ((-1135 . -1130) T) ((-720 . -738) 174820) ((-599 . -631) 174802) ((-399 . -1068) 174786) ((-366 . -1088) T) ((-397 . -132) T) ((-335 . -1068) 174770) ((-1110 . -21) T) ((-1110 . -25) T) ((-1034 . -841) T) ((-228 . -910) 174752) ((-1034 . -948) T) ((-91 . -34) T) ((-1029 . -320) 174717) ((-942 . -948) T) ((-899 . -634) 174698) ((-735 . 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. -1068) 173660) ((-97 . -631) 173642) ((-490 . -148) T) ((-980 . -1068) 173522) ((-118 . -738) 173467) ((-733 . -928) 173374) ((-674 . -23) T) ((-494 . -1068) 173250) ((-1117 . -632) NIL) ((-1117 . -631) 173232) ((-803 . -632) NIL) ((-803 . -631) 173193) ((-801 . -632) 172827) ((-801 . -631) 172741) ((-1143 . -659) 172647) ((-820 . -873) 172626) ((-474 . -631) 172608) ((-467 . -631) 172590) ((-467 . -632) 172451) ((-1065 . -232) 172397) ((-895 . -937) 172376) ((-127 . -34) T) ((-838 . -132) T) ((-670 . -631) 172358) ((-591 . -102) T) ((-367 . -1316) 172342) ((-364 . -1316) 172326) ((-356 . -1316) 172310) ((-122 . -527) 172243) ((-128 . -527) 172176) ((-524 . -813) T) ((-524 . -816) T) ((-523 . -815) T) ((-103 . -320) 172114) ((-225 . -102) 172064) ((-720 . -174) T) ((-715 . -1130) T) ((-895 . -669) 171980) ((-65 . -396) T) ((-285 . -631) 171962) ((-65 . -408) T) ((-980 . -389) 171946) ((-893 . -301) T) ((-50 . -631) 171928) ((-1150 . -667) 171900) ((-1029 . -38) 171848) ((-625 . -1130) T) ((-620 . -1130) T) ((-594 . -631) 171830) ((-494 . -389) 171814) ((-594 . -632) 171796) ((-531 . -631) 171778) ((-938 . -1316) 171765) ((-894 . -1247) T) ((-722 . -465) T) ((-508 . -527) 171731) ((-1308 . -1247) T) ((-1307 . -1247) T) ((-500 . -375) T) ((-367 . -380) 171710) ((-364 . -380) 171689) ((-356 . -380) 171668) ((-735 . -747) T) ((-220 . -375) T) ((-117 . -465) T) ((-1320 . -1311) 171652) ((-894 . -908) 171629) ((-894 . -910) NIL) ((-992 . -870) 171528) ((-836 . -870) 171479) ((-1254 . -102) T) ((-675 . -677) 171463) ((-1233 . -34) T) ((-173 . -631) 171445) ((-1143 . -25) 171278) ((-1143 . -21) 171189) ((-894 . -1068) 171166) ((-980 . -926) 171147) ((-1270 . -47) 171124) ((-938 . -380) T) ((-606 . -873) T) ((-59 . -672) 171108) ((-529 . -672) 171092) ((-494 . -926) 171069) ((-71 . -454) T) ((-71 . -408) T) ((-509 . -672) 171053) ((-59 . -385) 171037) ((-641 . -174) T) ((-529 . -385) 171021) ((-509 . -385) 171005) ((-559 . -1247) T) ((-848 . -729) 170989) ((-1202 . -318) 170968) ((-1208 . -132) T) ((-1172 . -1081) 170952) ((-118 . -174) T) ((-1172 . -661) 170884) ((-1176 . -320) 170822) ((-171 . -1247) T) ((-1309 . -132) T) ((-1282 . -948) 170801) ((-1261 . -948) 170780) ((-1261 . -841) NIL) ((-889 . -1081) 170750) ((-653 . -765) 170734) ((-619 . -765) 170718) ((-1260 . -937) 170671) ((-1054 . -1130) T) ((-933 . -1142) T) ((-889 . -661) 170641) ((-715 . -738) 170591) ((-924 . -1247) T) ((-894 . -389) 170568) ((-894 . -350) 170545) ((-862 . -1247) T) ((-829 . -1247) T) ((-171 . -908) 170529) ((-171 . -910) 170454) ((-790 . -1247) T) ((-698 . -1247) T) ((-1297 . -527) 170387) ((-1281 . -669) 170284) ((-1110 . -235) 170157) ((-500 . -1142) T) ((-366 . -1130) T) ((-220 . -1142) T) ((-76 . -454) T) ((-76 . -408) T) ((-171 . -1068) 170053) ((-305 . -920) 170010) ((-330 . -870) T) ((-1260 . -669) 169818) ((-895 . -815) 169797) ((-895 . -812) 169776) ((-895 . -747) T) ((-500 . -23) T) ((-371 . -235) 169749) ((-365 . -235) 169722) ((-357 . -235) 169695) 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168529) ((-1033 . -661) 168474) ((-635 . -102) T) ((-615 . -34) T) ((-1177 . -1247) T) ((-1241 . -111) 168343) ((-487 . -669) 168240) ((-366 . -738) 168185) ((-171 . -926) 168144) ((-720 . -301) T) ((-715 . -174) T) ((-732 . -111) 168100) ((-1326 . -1088) T) ((-1270 . -389) 168084) ((-431 . -1251) 168062) ((-1148 . -631) 168044) ((-324 . -869) NIL) ((-431 . -569) T) ((-228 . -318) T) ((-1260 . -812) 167997) ((-1260 . -815) 167950) ((-1281 . -747) T) ((-1260 . -747) T) ((-48 . -738) 167915) ((-228 . -1052) T) ((-1283 . -424) 167881) ((-1270 . -926) 167824) ((-363 . -1304) 167801) ((-1241 . -634) 167683) ((-739 . -747) T) ((-344 . -631) 167665) ((-533 . -873) 167644) ((-1143 . -235) 167535) ((-112 . -631) 167517) ((-112 . -632) 167499) ((-739 . -486) T) ((-732 . -634) 167449) ((-1320 . -1081) 167433) ((-495 . -25) 167266) ((-128 . -502) 167250) ((-122 . -502) 167234) ((-495 . -21) 167145) ((-1320 . -661) 167115) ((-641 . -301) T) ((-599 . -1086) 167090) ((-450 . -1130) T) ((-1092 . -318) T) ((-118 . -301) T) ((-1134 . -102) T) ((-1033 . -102) T) ((-599 . -111) 167058) ((-1241 . -1079) T) ((-1172 . -320) 166996) ((-1092 . -1052) T) ((-1084 . -25) T) ((-66 . -1247) T) ((-916 . -1247) T) ((-1084 . -21) T) ((-732 . -1079) T) ((-397 . -21) T) ((-397 . -25) T) ((-715 . -527) NIL) ((-1054 . -174) T) ((-732 . -249) T) ((-1092 . -558) T) ((-733 . -667) 166906) ((-519 . -102) T) ((-515 . -102) T) ((-366 . -174) T) ((-355 . -631) 166888) ((-420 . -1081) 166840) ((-407 . -631) 166822) ((-1150 . -869) T) ((-487 . -747) T) ((-916 . -1068) 166790) ((-420 . -661) 166742) ((-108 . -870) T) ((-679 . -1086) 166726) ((-500 . -132) T) ((-1283 . -1088) T) ((-220 . -132) T) ((-1187 . -102) 166676) ((-99 . -1130) T) ((-246 . -873) 166627) ((-251 . -687) 166611) ((-251 . -672) 166595) ((-679 . -111) 166574) ((-599 . -634) 166558) ((-327 . -424) 166542) ((-251 . -385) 166526) ((-1189 . -241) 166473) ((-1029 . -273) 166457) ((-1029 . -233) 166441) ((-74 . -1247) T) ((-48 . -174) T) ((-722 . -400) T) ((-722 . -144) T) ((-1320 . -102) T) ((-1228 . -1247) T) ((-1227 . -634) 166423) ((-1118 . -1247) T) ((-1117 . -1086) 166266) ((-1106 . -1247) T) ((-274 . -937) 166245) ((-254 . -937) 166224) ((-803 . -1086) 166047) ((-801 . -1086) 165890) ((-626 . -1247) T) ((-1194 . -631) 165872) ((-1117 . -111) 165701) ((-1076 . -102) T) ((-488 . -1247) T) ((-474 . -1086) 165672) ((-467 . -1086) 165515) ((-685 . -669) 165499) ((-894 . -318) T) ((-803 . -111) 165308) ((-801 . -111) 165137) ((-367 . -669) 165089) ((-364 . -669) 165041) ((-356 . -669) 164993) ((-274 . -669) 164882) ((-254 . -669) 164771) ((-1188 . -870) T) ((-1118 . -1068) 164755) ((-1106 . -1068) 164732) ((-1034 . -873) T) ((-1030 . -34) T) ((-474 . -111) 164693) ((-467 . -111) 164522) ((-1001 . -873) T) ((-994 . -631) 164504) ((-991 . -1142) T) ((-986 . -1247) T) ((-127 . -1040) 164488) ((-871 . -1247) T) ((-894 . -1052) NIL) ((-756 . -1142) T) ((-736 . -1142) T) ((-679 . -634) 164406) ((-1297 . -502) 164390) ((-1214 . -1247) T) ((-1213 . -1247) T) ((-1172 . -38) 164350) ((-991 . -23) T) ((-938 . -669) 164315) ((-888 . -1130) T) ((-864 . -102) T) ((-838 . -21) T) ((-653 . -1081) 164299) ((-619 . -1081) 164283) ((-838 . -25) T) ((-756 . -23) T) ((-736 . -23) T) ((-653 . -661) 164267) ((-110 . -682) T) ((-619 . -661) 164251) ((-594 . -1086) 164216) ((-531 . -1086) 164161) ((-230 . -57) 164119) ((-466 . -23) T) ((-420 . -102) T) ((-1212 . -1247) T) ((-271 . -102) T) ((-110 . -113) T) ((-715 . -301) T) ((-889 . -38) 164089) ((-1117 . -634) 163825) ((-594 . -111) 163781) ((-531 . -111) 163710) ((-431 . -1142) T) ((-327 . -1088) 163600) ((-324 . -1088) T) ((-129 . -1247) T) ((-131 . -1247) T) ((-803 . -634) 163348) ((-801 . -634) 163114) ((-679 . -1079) T) ((-1326 . -1130) T) ((-467 . -634) 162899) ((-171 . -318) 162830) ((-431 . -23) T) ((-40 . -631) 162812) ((-40 . -632) 162796) ((-108 . -1022) 162778) ((-117 . -892) 162762) ((-670 . -634) 162746) ((-48 . -527) 162712) ((-1233 . -1040) 162696) ((-1211 . -631) 162663) ((-1219 . -34) T) ((-982 . -631) 162629) ((-949 . -631) 162611) ((-1143 . -870) 162562) ((-792 . -631) 162544) ((-693 . -631) 162526) ((-530 . -1247) T) ((-1270 . -318) 162505) ((-1187 . -320) 162443) ((-1171 . -34) T) ((-492 . -34) T) ((-1122 . -1247) T) ((-490 . -465) T) ((-1064 . -1247) T) ((-1117 . -1079) T) ((-50 . -634) 162412) ((-803 . -1079) T) ((-801 . -1079) T) ((-668 . -241) 162396) ((-650 . -241) 162342) ((-1208 . -21) T) ((-594 . -634) 162292) ((-531 . -634) 162222) ((-495 . -235) 162113) ((-1208 . -25) T) ((-1117 . -337) 162074) ((-467 . -1079) T) ((-1117 . -239) 162053) ((-803 . -337) 162030) ((-803 . -239) T) ((-801 . -337) 162002) ((-752 . -1251) 161981) ((-532 . -34) T) ((-338 . -672) 161965) ((-529 . -34) T) ((-59 . -34) T) ((-510 . -34) T) ((-509 . -34) T) ((-467 . -337) 161944) ((-338 . -385) 161928) ((-373 . -1247) T) ((-333 . -1247) T) ((-1033 . -1182) NIL) ((-752 . -569) 161859) ((-653 . -102) T) ((-619 . -102) T) ((-367 . -747) T) ((-364 . -747) T) ((-356 . -747) T) ((-274 . -747) T) ((-254 . -747) T) ((-391 . -1247) T) ((-1309 . -21) T) ((-1076 . -320) 161767) ((-1309 . -25) T) ((-929 . -1130) 161745) ((-839 . -235) 161732) ((-50 . -1079) T) ((-1204 . -569) 161711) ((-1203 . -1251) 161690) ((-1203 . -569) 161641) ((-1197 . -1251) 161620) ((-1197 . -569) 161571) ((-1054 . -301) T) ((-594 . -1079) T) ((-531 . -1079) T) ((-1033 . -38) 161516) ((-373 . -1068) 161500) ((-333 . -1068) 161484) ((-1029 . -667) 161407) ((-391 . -910) 161389) ((-857 . -1247) T) ((-848 . -1247) T) ((-846 . -1247) T) ((-820 . -1142) T) ((-938 . -747) T) ((-594 . -249) T) ((-594 . -239) T) ((-531 . -239) T) ((-531 . -249) T) ((-1156 . -569) 161368) ((-366 . -301) T) ((-668 . -716) 161352) ((-391 . -1068) 161312) ((-305 . -1081) 161233) ((-351 . -920) 161212) ((-1150 . -1088) T) ((-103 . -126) 161196) ((-305 . -661) 161138) ((-820 . -23) T) ((-1319 . -1314) 161114) ((-1317 . -1314) 161093) ((-1297 . -297) 161045) ((-1283 . -1130) T) ((-420 . -320) 161010) 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. -132) T) ((-420 . -1182) 160463) ((-226 . -1079) T) ((-305 . -102) 160245) ((-142 . -1130) T) ((-720 . -1032) T) ((-1135 . -297) 160201) ((-91 . -1247) T) ((-217 . -631) 160183) ((-128 . -631) 160115) ((-122 . -631) 160047) ((-1326 . -174) T) ((-1203 . -375) 160026) ((-1197 . -375) 160005) ((-327 . -1130) T) ((-431 . -132) T) ((-324 . -1130) T) ((-420 . -38) 159957) ((-1163 . -102) T) ((-1283 . -738) 159849) ((-1165 . -1292) T) ((-1126 . -1247) T) ((-1120 . -1247) T) ((-675 . -1088) T) ((-1103 . -1247) T) ((-1096 . -1247) T) ((-1066 . -1247) T) ((-1049 . -1247) T) ((-330 . -146) 159828) ((-330 . -148) 159807) ((-140 . -1130) T) ((-137 . -1130) T) ((-115 . -1130) T) ((-881 . -102) T) ((-644 . -1247) T) ((-496 . -1247) T) ((-593 . -631) 159789) ((-577 . -632) 159688) ((-577 . -631) 159670) ((-508 . -631) 159652) ((-508 . -632) 159597) ((-498 . -23) T) ((-221 . -1247) T) ((-495 . -870) 159548) ((-500 . -659) 159530) ((-993 . -631) 159512) ((-1033 . -928) 159421) ((-220 . -659) 159403) 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158911) ((-324 . -738) 158840) ((-720 . -631) 158822) ((-720 . -632) 158767) ((-420 . -413) 158751) ((-451 . -1130) T) ((-500 . -25) T) ((-500 . -21) T) ((-1150 . -1130) T) ((-220 . -25) T) ((-220 . -21) T) ((-733 . -424) 158735) ((-735 . -1068) 158704) ((-1297 . -631) 158616) ((-1297 . -632) 158577) ((-1283 . -174) T) ((-1220 . -631) 158559) ((-251 . -34) T) ((-355 . -634) 158489) ((-407 . -634) 158471) ((-954 . -1004) T) ((-1233 . -1247) T) ((-683 . -812) 158450) ((-683 . -815) 158429) ((-411 . -408) T) ((-536 . -102) 158379) ((-1253 . -1247) T) ((-1065 . -1130) T) ((-420 . -928) 158302) ((-225 . -1025) 158286) ((-859 . -1247) T) ((-517 . -102) T) ((-641 . -631) 158268) ((-45 . -870) NIL) ((-641 . -632) 158245) ((-1065 . -628) 158220) ((-929 . -527) 158153) ((-330 . -238) 158105) ((-355 . -1079) T) ((-118 . -632) NIL) ((-118 . -631) 158087) ((-895 . -1247) T) ((-691 . -430) 158071) ((-691 . -1153) 158016) ((-513 . -152) 157998) ((-355 . -239) T) ((-355 . -249) T) ((-40 . -1086) 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142976) ((-650 . -152) 142922) ((-117 . -667) 142894) ((-492 . -1223) 142873) ((-500 . -148) T) ((-500 . -146) NIL) ((-1150 . -632) 142788) ((-451 . -631) 142770) ((-220 . -148) T) ((-220 . -146) NIL) ((-1150 . -631) 142752) ((-130 . -102) T) ((-52 . -102) T) ((-1261 . -659) 142704) ((-492 . -107) 142654) ((-1023 . -23) T) ((-1321 . -38) 142624) ((-1202 . -1142) T) ((-1155 . -1142) T) ((-1092 . -1251) T) ((-246 . -235) 142515) ((-322 . -102) T) ((-877 . -1142) T) ((-980 . -1251) 142494) ((-494 . -1251) 142473) ((-1092 . -569) T) ((-980 . -569) 142404) ((-1202 . -23) T) ((-1181 . -1113) T) ((-1155 . -23) T) ((-877 . -23) T) ((-494 . -569) 142335) ((-1172 . -738) 142267) ((-691 . -1081) 142251) ((-1176 . -527) 142184) ((-691 . -661) 142168) ((-1065 . -632) NIL) ((-1065 . -631) 142150) ((-96 . -1113) T) ((-1326 . -1086) 142137) ((-889 . -738) 142107) ((-1326 . -111) 142092) ((-1241 . -47) 142061) ((-1197 . -870) NIL) ((-259 . -132) T) ((-258 . -132) T) ((-1134 . -1130) T) ((-1033 . -1130) T) ((-62 . -631) 142043) ((-1110 . -920) 141912) ((-1054 . -813) T) ((-1054 . -816) T) ((-1289 . -25) T) ((-1289 . -21) T) ((-1282 . -21) T) ((-1282 . -25) T) ((-893 . -669) 141899) ((-1261 . -21) T) ((-1261 . -25) T) ((-1057 . -152) 141883) ((-1034 . -235) 141870) ((-895 . -841) 141849) ((-895 . -948) T) ((-733 . -297) 141776) ((-609 . -21) T) ((-351 . -667) 141735) ((-108 . -920) NIL) ((-609 . -25) T) ((-608 . -21) T) ((-176 . -667) 141652) ((-40 . -747) T) ((-225 . -527) 141585) ((-608 . -25) T) ((-489 . -152) 141569) ((-476 . -152) 141553) ((-185 . -1247) T) ((-949 . -815) T) ((-949 . -747) T) ((-792 . -814) T) ((-792 . -815) T) ((-519 . -1130) T) ((-515 . -1130) T) ((-792 . -747) T) ((-228 . -375) T) ((-1319 . -1081) 141537) ((-1317 . -1081) 141521) ((-1319 . -661) 141491) ((-1187 . -1130) 141469) ((-894 . -1251) T) ((-1317 . -661) 141439) ((-1118 . -873) T) ((-675 . -631) 141421) ((-894 . -569) T) ((-715 . -380) NIL) ((-44 . -1081) 141405) ((-1326 . -634) 141387) ((-1320 . -1130) T) ((-691 . -102) T) ((-371 . -1304) 141371) ((-365 . -1304) 141355) ((-44 . -661) 141339) ((-357 . -1304) 141323) ((-561 . -102) T) ((-1241 . -1247) T) ((-533 . -870) 141302) ((-732 . -1247) T) ((-986 . -873) 141281) ((-871 . -873) T) ((-500 . -238) T) ((-220 . -238) T) ((-1076 . -1130) T) ((-838 . -465) 141260) ((-153 . -1081) 141244) ((-1076 . -1101) 141173) ((-1057 . -1006) 141142) ((-840 . -1142) T) ((-1033 . -738) 141087) ((-153 . -661) 141071) ((-399 . -1142) T) ((-489 . -1006) 141040) ((-476 . -1006) 141009) ((-1213 . -873) T) ((-110 . -152) 140991) ((-73 . -631) 140973) ((-917 . -631) 140955) ((-1212 . -873) T) ((-1110 . -745) 140934) ((-1326 . -1079) T) ((-837 . -659) 140882) ((-305 . -1088) 140824) ((-171 . -1251) 140729) ((-228 . -1142) T) ((-335 . -23) T) ((-1197 . -1022) 140681) ((-1283 . -1086) 140586) ((-864 . -1130) T) ((-129 . -873) T) ((-1156 . -761) 140565) ((-1281 . -948) 140544) ((-1260 . -948) 140523) ((-893 . -747) T) ((-171 . -569) 140434) ((-593 . -669) 140421) ((-577 . -669) 140393) ((-420 . -1130) T) ((-271 . -1130) T) ((-215 . -631) 140375) ((-508 . -669) 140325) ((-228 . -23) T) ((-1260 . -841) 140278) ((-1319 . -102) T) ((-504 . -1247) T) ((-366 . -1316) 140255) ((-1317 . -102) T) ((-1283 . -111) 140147) ((-1143 . -920) 140014) ((-836 . -1081) 139915) ((-836 . -661) 139837) ((-145 . -631) 139819) ((-1023 . -132) T) ((-44 . -102) T) ((-246 . -870) 139770) ((-599 . -1247) T) ((-1270 . -1251) 139749) ((-103 . -502) 139733) ((-1320 . -738) 139703) ((-1117 . -47) 139664) ((-1092 . -1142) T) ((-980 . -1142) T) ((-128 . -34) T) ((-122 . -34) T) ((-1270 . -569) 139575) ((-803 . -47) 139552) ((-801 . -47) 139524) ((-1227 . -1247) T) ((-1202 . -132) T) ((-366 . -380) T) ((-494 . -1142) T) ((-1155 . -132) T) ((-894 . -375) T) ((-467 . -47) 139503) ((-877 . -132) T) ((-333 . -873) 139482) ((-153 . -102) T) ((-1092 . -23) T) ((-980 . -23) T) ((-584 . -569) T) ((-837 . -25) T) ((-837 . -21) T) ((-1172 . -527) 139415) ((-622 . -631) 139382) 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137338) ((-593 . -747) T) ((-577 . -815) T) ((-171 . -375) 137289) ((-577 . -812) T) ((-577 . -747) T) ((-508 . -747) T) ((-803 . -1247) T) ((-801 . -1247) T) ((-1176 . -502) 137273) ((-474 . -1247) T) ((-467 . -1247) T) ((-1319 . -1318) 137249) ((-1117 . -910) NIL) ((-894 . -1142) T) ((-118 . -937) NIL) ((-1317 . -1318) 137228) ((-670 . -1247) T) ((-803 . -910) NIL) ((-801 . -910) 137087) ((-1312 . -25) T) ((-1312 . -21) T) ((-1244 . -102) 137065) ((-1136 . -408) T) ((-641 . -669) 137052) ((-467 . -910) NIL) ((-696 . -102) 137002) ((-1117 . -1068) 136829) ((-894 . -23) T) ((-803 . -1068) 136688) ((-801 . -1068) 136545) ((-118 . -669) 136490) ((-467 . -1068) 136366) ((-285 . -1247) T) ((-327 . -634) 135930) ((-324 . -634) 135813) ((-50 . -1247) T) ((-403 . -667) 135782) ((-670 . -1068) 135766) ((-645 . -102) T) ((-594 . -1247) T) ((-531 . -1247) T) ((-225 . -502) 135750) ((-1297 . -34) T) ((-639 . -667) 135709) ((-300 . -1081) 135696) ((-137 . -634) 135680) ((-300 . -661) 135667) 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-926) 134264) ((-1319 . -38) 134234) ((-1317 . -38) 134204) ((-1270 . -1142) T) ((-878 . -1142) T) ((-467 . -926) 134181) ((-881 . -1130) T) ((-1270 . -23) T) ((-1150 . -634) 134153) ((-1092 . -132) T) ((-878 . -23) T) ((-584 . -1142) T) ((-641 . -747) T) ((-523 . -873) T) ((-367 . -948) T) ((-364 . -948) T) ((-300 . -102) T) ((-356 . -948) T) ((-1000 . -1113) T) ((-980 . -132) T) ((-837 . -235) 134098) ((-118 . -815) NIL) ((-118 . -812) NIL) ((-118 . -747) T) ((-1076 . -527) 133999) ((-715 . -937) NIL) ((-584 . -23) T) ((-494 . -132) T) ((-431 . -238) 133950) ((-696 . -320) 133888) ((-226 . -1247) T) ((-656 . -1130) T) ((-653 . -782) T) ((-619 . -782) T) ((-1261 . -870) NIL) ((-1110 . -1081) 133798) ((-1033 . -301) T) ((-715 . -669) 133748) ((-259 . -25) T) ((-363 . -1130) T) ((-259 . -21) T) ((-258 . -25) T) ((-258 . -21) T) ((-153 . -38) 133732) ((-2 . -102) T) ((-938 . -948) T) ((-1110 . -661) 133600) ((-495 . -1304) 133570) ((-1150 . -1079) T) ((-732 . -318) T) ((-722 . -1088) T) 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132274) ((-536 . -1130) 132252) ((-371 . -102) T) ((-365 . -102) T) ((-357 . -102) T) ((-108 . -102) T) ((-517 . -1130) T) ((-366 . -669) 132197) ((-1202 . -659) 132145) ((-1155 . -659) 132093) ((-397 . -522) 132072) ((-854 . -869) 132051) ((-715 . -747) T) ((-391 . -1251) T) ((-344 . -1247) T) ((-1261 . -1022) 132003) ((-351 . -1088) T) ((-112 . -1247) T) ((-176 . -1088) T) ((-103 . -631) 131935) ((-1204 . -146) 131914) ((-1204 . -148) 131893) ((-391 . -569) T) ((-1203 . -148) 131872) ((-1203 . -146) 131851) ((-1197 . -146) 131758) ((-420 . -301) T) ((-1197 . -148) 131665) ((-1156 . -148) 131644) ((-1156 . -146) 131623) ((-330 . -38) 131464) ((-171 . -132) T) ((-324 . -816) NIL) ((-324 . -813) NIL) ((-675 . -1079) T) ((-48 . -669) 131414) ((-1143 . -1081) 131315) ((-917 . -634) 131292) ((-1143 . -661) 131214) ((-1196 . -102) T) ((-1024 . -102) T) ((-1023 . -21) T) ((-128 . -1040) 131198) ((-122 . -1040) 131182) ((-1023 . -25) T) ((-929 . -120) 131166) ((-1188 . -102) T) ((-1270 . -132) T) ((-1260 . -873) 131065) ((-1202 . -25) T) ((-1202 . -21) T) ((-1189 . -320) 130860) ((-355 . -1247) T) ((-1155 . -25) T) ((-878 . -132) T) ((-407 . -1247) T) ((-1155 . -21) T) ((-877 . -25) T) ((-877 . -21) T) ((-803 . -318) 130839) ((-1187 . -502) 130823) ((-1180 . -152) 130773) ((-1176 . -631) 130735) ((-668 . -102) 130685) ((-650 . -102) T) ((-1176 . -632) 130646) ((-584 . -132) T) ((-639 . -869) 130625) ((-1054 . -812) T) ((-1054 . -815) T) ((-1054 . -747) T) ((-836 . -928) 130494) ((-733 . -1086) 130317) ((-615 . -873) 130296) ((-497 . -320) 130234) ((-466 . -430) 130204) ((-363 . -174) T) ((-300 . -38) 130191) ((-259 . -235) 130082) ((-258 . -235) 129973) ((-284 . -102) T) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-279 . -102) T) ((-355 . -1068) 129950) ((-278 . -102) T) ((-214 . -102) T) ((-213 . -102) T) ((-211 . -102) T) ((-210 . -102) T) ((-209 . -102) T) ((-208 . -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) ((-195 . -102) T) ((-733 . -111) 129759) ((-366 . -747) T) ((-691 . -273) 129743) ((-691 . -233) 129727) ((-594 . -318) T) ((-531 . -318) T) ((-305 . -527) 129676) ((-1194 . -1247) T) ((-108 . -320) NIL) ((-72 . -408) T) ((-1143 . -102) 129408) ((-854 . -424) 129392) ((-1150 . -816) T) ((-1150 . -813) T) ((-722 . -1130) T) ((-591 . -631) 129374) ((-391 . -375) T) ((-171 . -506) 129352) ((-225 . -631) 129284) ((-135 . -1130) T) ((-117 . -1130) T) ((-994 . -1247) T) ((-48 . -747) T) ((-1076 . -502) 129249) ((-142 . -438) 129231) ((-142 . -380) T) ((-1057 . -102) T) ((-525 . -522) 129210) ((-733 . -634) 128966) ((-1254 . -631) 128948) ((-1211 . -1247) T) ((-1211 . -1068) 128884) ((-1204 . -238) 128843) ((-489 . -102) T) ((-476 . -102) T) ((-1203 . -238) 128795) ((-1197 . -238) 128618) ((-1064 . -1142) T) ((-330 . -928) 128524) ((-1206 . -873) T) ((-1204 . -35) 128490) 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127374) ((-494 . -659) 127322) ((-40 . -1068) 127210) ((-733 . -239) T) ((-722 . -738) 127197) ((-351 . -1130) T) ((-176 . -1130) T) ((-342 . -870) T) ((-431 . -465) 127147) ((-391 . -23) T) ((-371 . -38) 127112) ((-365 . -38) 127077) ((-357 . -38) 127042) ((-80 . -454) T) ((-80 . -408) T) ((-228 . -25) T) ((-228 . -21) T) ((-857 . -1142) T) ((-108 . -38) 126992) ((-848 . -1142) T) ((-795 . -1130) T) ((-117 . -738) 126979) ((-693 . -1068) 126963) ((-630 . -102) T) ((-857 . -23) T) ((-848 . -23) T) ((-1187 . -297) 126915) ((-1143 . -320) 126853) ((-495 . -1081) 126754) ((-1132 . -241) 126738) ((-64 . -409) T) ((-64 . -408) T) ((-1181 . -102) T) ((-110 . -102) T) ((-495 . -661) 126660) ((-40 . -389) 126637) ((-96 . -102) T) ((-674 . -875) 126621) ((-1202 . -235) 126608) ((-1165 . -1113) T) ((-1092 . -21) T) ((-1092 . -25) T) ((-1084 . -1081) 126592) ((-836 . -273) 126561) ((-836 . -233) 126530) ((-980 . -25) T) ((-980 . -21) T) ((-1150 . -380) T) ((-1084 . -661) 126472) ((-639 . -1088) T) ((-1057 . -320) 126410) ((-913 . -631) 126392) ((-691 . -667) 126351) ((-494 . -25) T) ((-494 . -21) T) ((-397 . -1081) 126335) ((-909 . -631) 126317) ((-893 . -1247) T) ((-536 . -527) 126250) ((-259 . -870) 126201) ((-258 . -870) 126152) ((-397 . -661) 126122) ((-894 . -659) 126099) ((-489 . -320) 126037) ((-560 . -1247) T) ((-476 . -320) 125975) ((-363 . -301) T) ((-1187 . -1285) 125959) ((-1172 . -631) 125921) ((-1172 . -632) 125882) ((-1170 . -102) T) ((-1029 . -1086) 125778) ((-40 . -926) 125730) ((-1187 . -617) 125707) ((-1326 . -669) 125694) ((-1093 . -152) 125640) ((-500 . -920) NIL) ((-889 . -503) 125617) ((-1029 . -111) 125499) ((-895 . -1251) T) ((-220 . -920) NIL) ((-351 . -738) 125483) ((-889 . -631) 125445) ((-176 . -738) 125377) ((-895 . -569) T) ((-420 . -297) 125335) ((-246 . -238) 125232) ((-108 . -413) 125214) ((-84 . -396) T) ((-84 . -408) T) ((-722 . -174) T) ((-635 . -631) 125196) ((-99 . -747) T) ((-495 . -102) 124928) ((-99 . -486) T) ((-117 . -174) T) 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. -1235) 84035) ((-1270 . -920) 83938) ((-1202 . -1081) 83761) ((-1172 . -1247) T) ((-1155 . -1081) 83604) ((-877 . -1081) 83588) ((-650 . -617) 83563) ((-1281 . -95) 83529) ((-1281 . -238) 83481) ((-1264 . -102) 83459) ((-1202 . -661) 83288) ((-1155 . -661) 83137) ((-877 . -661) 83107) ((-1261 . -233) 83059) ((-1117 . -25) T) ((-562 . -1130) T) ((-1117 . -21) T) ((-991 . -1088) T) ((-544 . -813) T) ((-544 . -816) T) ((-118 . -1251) T) ((-889 . -1247) T) ((-641 . -569) T) ((-803 . -25) T) ((-803 . -21) T) ((-801 . -21) T) ((-801 . -25) T) ((-756 . -1088) T) ((-736 . -1088) T) ((-691 . -1086) 83043) ((-530 . -1113) T) ((-474 . -25) T) ((-118 . -569) T) ((-474 . -21) T) ((-467 . -25) T) ((-467 . -21) T) ((-1261 . -273) 82995) ((-1181 . -93) T) ((-1172 . -1068) 82891) ((-838 . -301) 82870) ((-1260 . -1232) 82836) ((-844 . -1130) T) ((-994 . -997) T) ((-691 . -111) 82815) ((-635 . -1247) T) ((-306 . -527) 82607) ((-1260 . -1235) 82573) ((-1260 . -238) 82432) ((-1255 . -380) T) ((-259 . 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. -34) T) ((-563 . -617) 54802) ((-48 . -25) T) ((-48 . -21) T) ((-836 . -815) 54781) ((-836 . -814) 54760) ((-722 . -1052) T) ((-674 . -1086) 54744) ((-894 . -667) 54674) ((-836 . -747) 54652) ((-403 . -1247) T) ((-992 . -486) 54605) ((-495 . -816) 54584) ((-495 . -813) 54563) ((-938 . -1304) 54550) ((-1208 . -1079) T) ((-639 . -1247) T) ((-674 . -111) 54529) ((-1208 . -337) 54505) ((-1233 . -102) 54455) ((-1131 . -631) 54437) ((-722 . -558) T) ((-837 . -1130) T) ((-594 . -238) T) ((-531 . -238) T) ((-1309 . -1079) T) ((-1165 . -503) 54418) ((-1253 . -102) T) ((-426 . -1130) T) ((-1165 . -631) 54384) ((-259 . -1088) 54362) ((-258 . -1088) 54340) ((-859 . -102) T) ((-300 . -669) 54327) ((-606 . -297) 54277) ((-710 . -708) 54235) ((-1322 . -1247) T) ((-1297 . -870) 54214) ((-991 . -631) 54196) ((-895 . -102) T) ((-756 . -631) 54178) ((-736 . -631) 54160) ((-1289 . -174) 54111) ((-1282 . -174) 54042) ((-1261 . -174) 53973) ((-720 . -870) T) ((-1034 . -301) T) ((-466 . -631) 53955) ((-645 . -747) T) ((-60 . -1130) 53933) ((-251 . -152) 53917) ((-1281 . -661) 53758) ((-942 . -301) T) ((-1054 . -1042) T) ((-645 . -486) T) ((-733 . -1251) 53737) ((-715 . -235) NIL) ((-674 . -634) 53655) ((-171 . -667) 53550) ((-1281 . -1081) 53385) ((-609 . -174) 53364) ((-608 . -174) 53315) ((-1260 . -661) 53129) ((-1260 . -1081) 52937) ((-1255 . -1247) T) ((-733 . -569) 52848) ((-420 . -841) 52827) ((-420 . -948) T) ((-330 . -815) T) ((-490 . -1247) T) ((-1000 . -634) 52808) ((-330 . -747) T) ((-665 . -1179) 52792) ((-431 . -631) 52774) ((-431 . -632) 52681) ((-110 . -672) 52663) ((-327 . -132) 52534) ((-176 . -318) T) ((-127 . -320) 52472) ((-411 . -1247) T) ((-110 . -385) 52454) ((-324 . -132) T) ((-69 . -408) T) ((-110 . -124) T) ((-533 . -502) 52438) ((-675 . -1142) T) ((-606 . -19) 52420) ((-61 . -454) T) ((-61 . -408) T) ((-845 . -1130) T) ((-606 . -617) 52395) ((-490 . -1068) 52355) ((-674 . -1079) T) ((-675 . -23) T) ((-1312 . -1130) T) ((-31 . -102) T) ((-1270 . -667) 52265) 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. -239) 22068) ((-1261 . -249) 22047) ((-1241 . -38) 21944) ((-609 . -1079) T) ((-608 . -1079) T) ((-1034 . -816) T) ((-1034 . -813) T) ((-1001 . -816) T) ((-1001 . -813) T) ((-895 . -1088) T) ((-109 . -631) 21926) ((-715 . -465) T) ((-391 . -738) 21891) ((-431 . -669) 21865) ((-893 . -892) 21849) ((-732 . -38) 21814) ((-608 . -239) 21773) ((-40 . -745) 21745) ((-363 . -340) 21722) ((-363 . -375) T) ((-1110 . -318) 21673) ((-305 . -1142) 21554) ((-1136 . -1247) T) ((-1029 . -235) 21499) ((-173 . -102) T) ((-1264 . -631) 21466) ((-864 . -132) 21418) ((-857 . -738) 21388) ((-665 . -1285) 21372) ((-848 . -738) 21342) ((-665 . -617) 21319) ((-495 . -1247) T) ((-371 . -318) T) ((-365 . -318) T) ((-357 . -318) T) ((-412 . -235) 21306) ((-420 . -132) T) ((-533 . -687) 21290) ((-108 . -318) T) ((-305 . -23) 21173) ((-533 . -672) 21157) ((-715 . -415) NIL) ((-533 . -385) 21141) ((-660 . -1081) 21125) ((-660 . -661) 21109) ((-302 . -631) 21091) ((-91 . -1130) 21069) ((-108 . -1052) T) ((-577 . 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((-487 . -1086) 185086) ((-513 . -113) T) ((-355 . -1130) T) ((-324 . -1182) NIL) ((-300 . -132) T) ((-407 . -1130) T) ((-893 . -1088) T) ((-715 . -382) 185053) ((-366 . -667) 184983) ((-226 . -638) 184960) ((-338 . -297) 184912) ((-487 . -111) 184733) ((-1281 . -1079) T) ((-1260 . -1079) T) ((-837 . -389) 184717) ((-845 . -1247) T) ((-171 . -747) T) ((-1312 . -1247) T) ((-675 . -102) T) ((-1281 . -249) 184696) ((-1281 . -239) 184648) ((-1260 . -239) 184553) ((-1260 . -249) 184532) ((-1033 . -415) NIL) ((-691 . -659) 184480) ((-327 . -38) 184390) ((-324 . -38) 184319) ((-69 . -631) 184301) ((-330 . -506) 184267) ((-48 . -667) 184217) ((-1219 . -299) 184196) ((-1255 . -870) T) ((-1143 . -1142) 184174) ((-83 . -1247) T) ((-61 . -631) 184156) ((-887 . -873) T) ((-492 . -299) 184135) ((-1312 . -1068) 184112) ((-1194 . -1130) T) ((-1143 . -23) 183964) ((-837 . -926) 183900) ((-1270 . -747) T) ((-1132 . -1247) T) ((-487 . -634) 183726) ((-363 . -238) T) ((-1117 . -301) 183657) ((-994 . -1130) T) ((-917 . -102) T) ((-803 . -301) 183568) ((-338 . -19) 183552) ((-59 . -299) 183529) ((-801 . -301) 183460) ((-878 . -747) T) ((-118 . -869) NIL) ((-529 . -299) 183437) ((-338 . -617) 183414) ((-509 . -299) 183391) ((-467 . -301) 183322) ((-1065 . -320) 183173) ((-899 . -503) 183154) ((-899 . -631) 183120) ((-702 . -503) 183101) ((-584 . -747) T) ((-697 . -503) 183082) ((-702 . -631) 183032) ((-697 . -631) 182998) ((-683 . -631) 182980) ((-491 . -503) 182961) ((-491 . -631) 182927) ((-251 . -632) 182888) ((-251 . -503) 182865) ((-139 . -503) 182846) ((-138 . -503) 182827) ((-134 . -503) 182808) ((-251 . -631) 182700) ((-215 . -102) T) ((-139 . -631) 182666) ((-138 . -631) 182632) ((-134 . -631) 182598) ((-1177 . -34) T) ((-971 . -1247) T) ((-355 . -738) 182543) ((-691 . -25) T) ((-691 . -21) T) ((-1206 . -634) 182524) ((-342 . -1247) T) ((-487 . -1079) T) ((-653 . -430) 182489) ((-619 . -430) 182454) ((-1150 . -1182) T) ((-1282 . -318) 182433) ((-733 . -1081) 182256) ((-594 . -301) T) ((-531 . -301) T) ((-1261 . -318) 182235) ((-487 . -239) 182187) ((-487 . -249) 182166) ((-452 . -1247) T) ((-733 . -661) 181995) ((-1261 . -1052) NIL) ((-1110 . -132) T) ((-895 . -816) 181974) ((-145 . -102) T) ((-40 . -1130) T) ((-895 . -813) 181953) ((-665 . -1040) 181937) ((-593 . -1088) T) ((-577 . -1088) T) ((-508 . -1088) T) ((-420 . -465) T) ((-371 . -132) T) ((-327 . -413) 181921) ((-324 . -413) 181882) ((-365 . -132) T) ((-357 . -132) T) ((-1211 . -1130) T) ((-1150 . -38) 181869) ((-1124 . -631) 181836) ((-108 . -132) T) ((-982 . -1130) T) ((-949 . -1130) T) ((-792 . -1130) T) ((-693 . -1130) T) ((-722 . -148) T) ((-622 . -102) T) ((-117 . -148) T) ((-1319 . -21) T) ((-1319 . -25) T) ((-1317 . -21) T) ((-1317 . -25) T) ((-685 . -1086) 181820) ((-544 . -870) T) ((-513 . -870) T) ((-377 . -1247) T) ((-367 . -1086) 181772) ((-364 . -1086) 181724) ((-356 . -1086) 181676) ((-259 . -1247) T) ((-258 . -1247) T) ((-274 . -1086) 181519) ((-254 . -1086) 181362) ((-685 . -111) 181341) ((-838 . -1251) 181320) ((-560 . -865) T) ((-327 . -928) 181286) ((-367 . -111) 181224) ((-364 . -111) 181162) ((-356 . -111) 181100) ((-274 . -111) 180929) ((-254 . -111) 180758) ((-324 . -928) NIL) ((-641 . -424) 180742) ((-44 . -21) T) ((-44 . -25) T) ((-933 . -873) 180693) ((-130 . -682) T) ((-836 . -659) 180599) ((-838 . -569) 180578) ((-500 . -873) T) ((-259 . -1068) 180405) ((-258 . -1068) 180232) ((-127 . -120) 180216) ((-220 . -873) T) ((-938 . -1086) 180181) ((-733 . -102) T) ((-720 . -1088) T) ((-610 . -634) 180162) ((-598 . -634) 180143) ((-549 . -636) 180046) ((-355 . -174) T) ((-153 . -21) T) ((-153 . -25) T) ((-88 . -631) 180028) ((-938 . -111) 179984) ((-40 . -738) 179929) ((-893 . -1130) T) ((-685 . -634) 179906) ((-666 . -634) 179887) ((-367 . -634) 179824) ((-364 . -634) 179761) ((-356 . -634) 179698) ((-560 . -1130) T) ((-338 . -632) 179659) ((-338 . -631) 179571) ((-274 . -634) 179324) ((-254 . -634) 179109) ((-188 . -1247) T) ((-1260 . -813) 179062) ((-1260 . -816) 179015) ((-259 . -389) 178984) ((-258 . -389) 178953) ((-562 . -873) T) ((-675 . -38) 178923) ((-626 . -34) T) ((-495 . -1142) 178901) ((-488 . -34) T) ((-1143 . -132) 178772) ((-992 . -25) 178583) ((-938 . -634) 178533) ((-897 . -631) 178515) ((-217 . -865) T) ((-992 . -21) 178470) ((-836 . -25) 178303) ((-836 . -21) 178214) ((-1253 . -380) T) ((-641 . -1088) T) ((-1208 . -569) 178193) ((-1202 . -47) 178170) ((-367 . -1079) T) ((-364 . -1079) T) ((-495 . -23) 178022) ((-356 . -1079) T) ((-274 . -1079) T) ((-254 . -1079) T) ((-1155 . -47) 177994) ((-118 . -1088) T) ((-1064 . -669) 177968) ((-986 . -34) T) ((-367 . -239) 177947) ((-367 . -249) T) ((-364 . -239) 177926) ((-364 . -249) T) ((-356 . -239) 177905) ((-356 . -249) T) ((-274 . -337) 177877) ((-254 . -337) 177834) ((-274 . -239) 177813) ((-1187 . -152) 177797) ((-259 . -926) 177729) ((-258 . -926) 177661) ((-1172 . -920) 177582) ((-1112 . -870) T) ((-1264 . -1247) 177560) ((-427 . -1142) T) ((-1241 . -1032) 177526) ((-1084 . -23) T) ((-1054 . -869) T) ((-938 . -1079) T) ((-333 . -669) 177508) ((-722 . -238) T) ((-691 . -235) 177453) ((-1203 . -948) 177432) ((-1197 . -948) 177411) ((-1197 . -841) NIL) ((-1029 . -1081) 177307) ((-995 . -1247) T) ((-938 . -249) T) ((-838 . -375) 177286) ((-217 . -1130) T) ((-397 . -23) T) ((-128 . -1130) 177264) ((-122 . -1130) 177242) ((-938 . -239) T) ((-129 . -34) T) ((-391 . -669) 177207) ((-1029 . -661) 177155) ((-893 . -738) 177142) ((-1326 . -667) 177114) ((-1076 . -152) 177079) ((-1023 . -1247) T) ((-885 . -1247) T) ((-40 . -174) T) ((-715 . -424) 177061) ((-733 . -320) 177048) ((-857 . -669) 177008) ((-848 . -669) 176982) ((-330 . -25) T) ((-330 . -21) T) ((-679 . -297) 176961) ((-593 . -1130) T) ((-577 . -1130) T) ((-508 . -1130) T) ((-1202 . -1247) T) ((-251 . -299) 176938) ((-1155 . -1247) T) ((-877 . -1247) T) ((-324 . -273) 176899) ((-324 . -233) 176860) ((-1252 . -873) T) ((-1202 . -910) NIL) ((-55 . -1130) T) ((-1155 . -910) 176719) ((-130 . -870) T) ((-1202 . -1068) 176599) ((-1155 . -1068) 176482) ((-185 . -631) 176464) ((-877 . -1068) 176360) ((-803 . -297) 176287) ((-838 . -1142) T) ((-1064 . -747) T) ((-1076 . -1006) 176216) ((-615 . -672) 176200) ((-1033 . -920) 176107) ((-1029 . -102) T) ((-838 . -23) T) ((-733 . -1182) 176085) ((-715 . -1088) T) ((-615 . -385) 176069) ((-363 . -465) T) ((-355 . -301) T) ((-1298 . -1130) T) ((-255 . -1130) T) ((-412 . -102) T) ((-300 . -21) T) ((-300 . -25) T) ((-373 . -747) T) ((-731 . -1130) T) ((-720 . -1130) T) ((-373 . -486) T) ((-1241 . -631) 176051) ((-1202 . -389) 176035) ((-1155 . -389) 176019) ((-1054 . -424) 175981) ((-142 . -232) 175963) ((-391 . -815) T) ((-391 . -812) T) ((-893 . -174) T) ((-391 . -747) T) ((-732 . -631) 175945) ((-733 . -38) 175774) ((-1297 . -1295) 175758) ((-363 . -415) T) ((-1297 . -1130) 175708) ((-1220 . -1130) T) ((-593 . -738) 175695) ((-577 . -738) 175682) ((-508 . -738) 175647) ((-1283 . -667) 175537) ((-327 . -647) 175516) ((-857 . -747) T) ((-848 . -747) T) ((-1145 . -1247) T) ((-665 . -1247) T) ((-1110 . -659) 175464) ((-1202 . -926) 175407) ((-1155 . -926) 175391) ((-836 . -235) 175282) ((-683 . -1086) 175266) ((-108 . -659) 175248) ((-495 . -132) 175119) ((-1208 . -1142) T) ((-840 . -1247) T) ((-980 . -47) 175088) ((-641 . -1130) T) ((-683 . -111) 175067) ((-504 . -631) 175033) ((-338 . -299) 175010) ((-399 . -1247) T) ((-335 . -1247) T) ((-494 . -47) 174967) ((-1208 . -23) T) ((-118 . -1130) T) ((-103 . -102) 174917) ((-1309 . -1142) T) ((-561 . -870) T) ((-228 . -1247) T) ((-1084 . -132) T) ((-1054 . -1088) T) ((-1309 . -23) T) ((-1227 . -631) 174899) ((-840 . -1068) 174883) ((-1150 . -849) T) ((-1033 . -745) 174855) ((-1135 . -1130) T) ((-720 . -738) 174820) ((-599 . -631) 174802) ((-399 . -1068) 174786) ((-366 . -1088) T) ((-397 . -132) T) ((-335 . -1068) 174770) ((-1110 . -21) T) ((-1110 . -25) T) ((-1034 . -841) T) ((-228 . -910) 174752) ((-1034 . -948) T) ((-91 . -34) T) ((-1029 . -320) 174717) ((-942 . -948) T) ((-899 . -634) 174698) ((-735 . -669) 174658) ((-500 . -1251) T) ((-702 . -634) 174639) ((-697 . -634) 174620) ((-658 . -669) 174604) ((-220 . -1251) T) ((-420 . -920) 174525) ((-228 . -1068) 174485) ((-40 . -301) T) ((-500 . -569) T) ((-491 . -634) 174466) ((-371 . -25) T) ((-327 . -667) 174121) ((-324 . -667) 174035) ((-371 . -21) T) ((-365 . -25) T) ((-365 . -21) T) ((-220 . -569) T) ((-357 . -25) T) ((-357 . -21) T) ((-330 . -235) 173981) ((-251 . -634) 173958) ((-139 . -634) 173939) ((-138 . -634) 173920) ((-134 . -634) 173901) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1088) T) ((-593 . -174) T) ((-577 . -174) T) ((-508 . -174) T) ((-1092 . -1247) T) ((-980 . -1247) T) ((-734 . -1247) T) ((-660 . -297) 173868) ((-679 . -631) 173850) ((-494 . -1247) T) ((-758 . -757) 173834) ((-348 . -631) 173816) ((-68 . -395) T) ((-68 . -408) T) ((-1132 . -107) 173800) ((-1092 . -910) 173782) ((-980 . -910) 173707) ((-674 . -1142) T) ((-641 . -738) 173694) ((-494 . -910) NIL) ((-1176 . -102) T) ((-1124 . -636) 173678) ((-1092 . -1068) 173660) ((-97 . -631) 173642) ((-490 . -148) T) ((-980 . -1068) 173522) ((-118 . -738) 173467) ((-733 . -928) 173374) ((-674 . -23) T) ((-494 . -1068) 173250) ((-1117 . -632) NIL) ((-1117 . -631) 173232) ((-803 . -632) NIL) ((-803 . -631) 173193) ((-801 . -632) 172827) ((-801 . -631) 172741) ((-1143 . -659) 172647) ((-820 . -873) 172626) ((-474 . -631) 172608) ((-467 . -631) 172590) ((-467 . -632) 172451) ((-1065 . -232) 172397) ((-895 . -937) 172376) ((-127 . -34) T) ((-838 . -132) T) ((-670 . -631) 172358) ((-591 . -102) T) ((-367 . -1316) 172342) ((-364 . -1316) 172326) ((-356 . -1316) 172310) ((-122 . -527) 172243) ((-128 . -527) 172176) ((-524 . -813) T) ((-524 . -816) T) ((-523 . -815) T) ((-103 . -320) 172114) ((-225 . -102) 172064) ((-720 . -174) T) ((-715 . -1130) T) ((-895 . -669) 171980) ((-65 . -396) T) ((-285 . -631) 171962) ((-65 . -408) T) ((-980 . -389) 171946) ((-893 . -301) T) ((-50 . -631) 171928) ((-1150 . -667) 171900) ((-1029 . -38) 171848) ((-625 . -1130) T) ((-620 . -1130) T) ((-594 . -631) 171830) ((-494 . -389) 171814) ((-594 . -632) 171796) ((-531 . -631) 171778) ((-938 . -1316) 171765) ((-894 . -1247) T) ((-722 . -465) T) ((-508 . -527) 171731) ((-1308 . -1247) T) ((-1307 . -1247) T) ((-500 . -375) T) ((-367 . -380) 171710) ((-364 . -380) 171689) ((-356 . -380) 171668) ((-735 . -747) T) ((-220 . -375) T) ((-117 . -465) T) ((-1320 . -1311) 171652) ((-894 . -908) 171629) ((-894 . -910) NIL) ((-992 . -870) 171528) ((-836 . -870) 171479) ((-1254 . -102) T) ((-675 . -677) 171463) ((-1233 . -34) T) ((-173 . -631) 171445) ((-1143 . -25) 171278) ((-1143 . -21) 171189) ((-894 . -1068) 171166) ((-980 . -926) 171147) ((-1270 . -47) 171124) ((-938 . -380) T) ((-606 . -873) T) ((-59 . -672) 171108) ((-529 . -672) 171092) ((-494 . -926) 171069) ((-71 . -454) T) ((-71 . -408) T) ((-509 . -672) 171053) ((-59 . -385) 171037) ((-641 . -174) T) ((-529 . -385) 171021) ((-509 . -385) 171005) ((-559 . -1247) T) ((-848 . -729) 170989) ((-1202 . -318) 170968) ((-1208 . -132) T) ((-1172 . -1081) 170952) ((-118 . -174) T) ((-1172 . -661) 170884) ((-1176 . -320) 170822) ((-171 . -1247) T) ((-1309 . -132) T) ((-1282 . -948) 170801) ((-1261 . -948) 170780) ((-1261 . -841) NIL) ((-889 . -1081) 170750) ((-653 . -765) 170734) ((-619 . -765) 170718) ((-1260 . -937) 170671) ((-1054 . -1130) T) ((-933 . -1142) T) ((-889 . -661) 170641) ((-715 . -738) 170591) ((-924 . -1247) T) ((-894 . -389) 170568) ((-894 . -350) 170545) ((-862 . -1247) T) ((-829 . -1247) T) ((-171 . -908) 170529) ((-171 . -910) 170454) ((-790 . -1247) T) ((-698 . -1247) T) ((-1297 . -527) 170387) ((-1281 . -669) 170284) ((-1110 . -235) 170157) ((-500 . -1142) T) ((-366 . -1130) T) ((-220 . -1142) T) ((-76 . -454) T) ((-76 . -408) T) ((-171 . -1068) 170053) ((-305 . -920) 170010) ((-330 . -870) T) ((-1260 . -669) 169818) ((-895 . -815) 169797) ((-895 . -812) 169776) ((-895 . -747) T) ((-500 . -23) T) ((-371 . -235) 169749) ((-365 . -235) 169722) ((-357 . -235) 169695) ((-176 . -465) T) ((-86 . -454) T) ((-225 . -320) 169633) ((-86 . -408) T) ((-226 . -631) 169615) ((-108 . -235) 169602) ((-220 . -23) T) ((-1321 . -1314) 169581) ((-698 . -1068) 169565) ((-593 . -301) T) ((-577 . -301) T) ((-508 . -301) T) ((-1270 . -1247) T) ((-137 . -483) 169520) ((-878 . -1247) T) ((-675 . -667) 169479) ((-48 . -1130) T) ((-733 . -273) 169463) ((-733 . -233) 169447) ((-894 . -926) NIL) ((-584 . -1247) T) ((-1270 . -910) NIL) ((-913 . -102) T) ((-909 . -102) T) ((-660 . -631) 169429) ((-401 . -1130) T) ((-171 . -389) 169413) ((-171 . -350) 169397) ((-1270 . -1068) 169277) ((-878 . -1068) 169173) ((-1172 . -102) T) ((-1029 . -928) 169096) ((-683 . -813) 169075) ((-674 . -132) T) ((-683 . -816) 169054) ((-118 . -527) 168962) ((-584 . -1068) 168944) ((-305 . -1304) 168914) ((-1197 . -873) NIL) ((-889 . -102) T) ((-991 . -569) 168893) ((-1241 . -1086) 168776) ((-1033 . -1081) 168721) ((-495 . -659) 168627) ((-932 . -1130) T) ((-1054 . -738) 168564) ((-732 . -1086) 168529) ((-1033 . -661) 168474) ((-635 . -102) T) ((-615 . -34) T) ((-1177 . -1247) T) ((-1241 . -111) 168343) ((-487 . -669) 168240) ((-366 . -738) 168185) ((-171 . -926) 168144) ((-720 . -301) T) ((-715 . -174) T) ((-732 . -111) 168100) ((-1326 . -1088) T) ((-1270 . -389) 168084) ((-431 . -1251) 168062) ((-1148 . -631) 168044) ((-324 . -869) NIL) ((-431 . -569) T) ((-228 . -318) T) ((-1260 . -812) 167997) ((-1260 . -815) 167950) ((-1281 . -747) T) ((-1260 . -747) T) ((-48 . -738) 167915) ((-228 . -1052) T) ((-1283 . -424) 167881) ((-1270 . -926) 167824) ((-363 . -1304) 167801) ((-1241 . -634) 167683) ((-739 . -747) T) ((-344 . -631) 167665) ((-533 . -873) 167644) ((-1143 . -235) 167535) ((-112 . -631) 167517) ((-112 . -632) 167499) ((-739 . -486) T) ((-732 . -634) 167449) ((-1320 . -1081) 167433) ((-495 . -25) 167266) ((-128 . -502) 167250) ((-122 . -502) 167234) ((-495 . -21) 167145) ((-1320 . -661) 167115) ((-641 . -301) T) ((-599 . -1086) 167090) 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-1247) T) ((-48 . -174) T) ((-722 . -400) T) ((-722 . -144) T) ((-1320 . -102) T) ((-1228 . -1247) T) ((-1227 . -634) 166423) ((-1118 . -1247) T) ((-1117 . -1086) 166266) ((-1106 . -1247) T) ((-274 . -937) 166245) ((-254 . -937) 166224) ((-803 . -1086) 166047) ((-801 . -1086) 165890) ((-626 . -1247) T) ((-1194 . -631) 165872) ((-1117 . -111) 165701) ((-1076 . -102) T) ((-488 . -1247) T) ((-474 . -1086) 165672) ((-467 . -1086) 165515) ((-685 . -669) 165499) ((-894 . -318) T) ((-803 . -111) 165308) ((-801 . -111) 165137) ((-367 . -669) 165089) ((-364 . -669) 165041) ((-356 . -669) 164993) ((-274 . -669) 164882) ((-254 . -669) 164771) ((-1188 . -870) T) ((-1118 . -1068) 164755) ((-1106 . -1068) 164732) ((-1034 . -873) T) ((-1030 . -34) T) ((-474 . -111) 164693) ((-467 . -111) 164522) ((-1001 . -873) T) ((-994 . -631) 164504) ((-991 . -1142) T) ((-986 . -1247) T) ((-127 . -1040) 164488) ((-871 . -1247) T) ((-894 . -1052) NIL) ((-756 . -1142) T) ((-736 . -1142) T) ((-679 . -634) 164406) 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156900) ((-391 . -1052) T) ((-108 . -148) T) ((-108 . -146) NIL) ((-45 . -241) 156850) ((-675 . -1130) T) ((-626 . -107) 156797) ((-498 . -132) T) ((-488 . -107) 156747) ((-246 . -1142) 156725) ((-31 . -1247) T) ((-895 . -389) 156709) ((-895 . -350) 156693) ((-246 . -23) 156545) ((-40 . -634) 156475) ((-1310 . -527) 156408) ((-1092 . -948) T) ((-1092 . -841) T) ((-594 . -380) T) ((-531 . -380) T) ((-1289 . -569) 156387) ((-1282 . -1251) 156366) ((-1282 . -569) 156317) ((-1281 . -1247) T) ((-1261 . -1251) 156296) ((-363 . -1182) T) ((-338 . -34) T) ((-44 . -430) 156280) ((-1211 . -634) 156216) ((-896 . -1247) T) ((-403 . -765) 156200) ((-1261 . -569) 156151) ((-1260 . -1247) T) ((-1172 . -667) 156110) ((-752 . -132) T) ((-693 . -634) 156094) ((-1260 . -910) 155967) ((-1260 . -908) 155937) ((-1204 . -132) T) ((-1203 . -132) T) ((-1197 . -132) T) ((-1156 . -132) T) ((-322 . -1113) T) ((-1054 . -1032) T) ((-758 . -527) 155870) ((-1034 . -23) T) ((-1034 . -1142) T) ((-917 . -1130) T) ((-145 . -865) T) ((-1033 . -361) NIL) ((-712 . -631) 155852) ((-971 . -873) 155831) ((-536 . -320) 155769) ((-1001 . -23) T) ((-142 . -527) NIL) ((-889 . -667) 155714) ((-942 . -1142) T) ((-942 . -23) T) ((-895 . -926) 155673) ((-363 . -38) 155638) ((-893 . -1086) 155625) ((-342 . -873) T) ((-82 . -631) 155607) ((-40 . -1079) T) ((-893 . -111) 155592) ((-739 . -1247) T) ((-722 . -102) T) ((-715 . -631) 155574) ((-615 . -1247) T) ((-609 . -569) 155553) ((-440 . -1142) T) ((-351 . -1081) 155537) ((-215 . -1130) T) ((-176 . -1081) 155469) ((-487 . -47) 155439) ((-40 . -239) 155411) ((-40 . -249) T) ((-135 . -102) T) ((-117 . -102) T) ((-608 . -569) 155390) ((-351 . -661) 155374) ((-715 . -632) 155282) ((-327 . -527) 155248) ((-176 . -661) 155180) ((-324 . -527) 155072) ((-500 . -235) 155059) ((-1281 . -1068) 155043) ((-1260 . -1068) 154829) ((-1029 . -424) 154813) ((-220 . -235) 154800) ((-440 . -23) T) ((-1150 . -174) T) ((-625 . -503) 154767) ((-620 . -503) 154749) ((-625 . -631) 154701) 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153623) ((-420 . -849) 153576) ((-1204 . -506) 153542) ((-171 . -948) 153473) ((-1203 . -506) 153439) ((-1197 . -506) 153405) ((-733 . -1130) T) ((-1156 . -506) 153371) ((-593 . -1086) 153358) ((-577 . -1086) 153345) ((-508 . -1086) 153310) ((-327 . -301) 153289) ((-324 . -301) T) ((-366 . -631) 153271) ((-431 . -25) T) ((-431 . -21) T) ((-99 . -297) 153250) ((-593 . -111) 153235) ((-577 . -111) 153220) ((-508 . -111) 153176) ((-1206 . -910) 153143) ((-929 . -502) 153127) ((-48 . -631) 153109) ((-48 . -632) 153054) ((-246 . -132) 152925) ((-1320 . -667) 152884) ((-1270 . -948) 152863) ((-837 . -1251) 152842) ((-401 . -503) 152823) ((-1065 . -527) 152667) ((-401 . -631) 152633) ((-837 . -569) 152564) ((-599 . -669) 152539) ((-274 . -47) 152511) ((-254 . -47) 152468) ((-544 . -522) 152445) ((-593 . -634) 152417) ((-577 . -634) 152389) ((-508 . -634) 152322) ((-1289 . -23) T) ((-1104 . -1247) T) ((-1030 . -1247) T) ((-1289 . -1142) T) ((-1282 . -1142) T) ((-1282 . -23) T) ((-1261 . -1142) T) ((-1261 . -23) T) ((-720 . -1086) 152287) ((-1252 . -682) T) ((-1241 . -747) T) ((-1150 . -301) T) ((-1143 . -238) 152184) ((-1034 . -132) T) ((-1033 . -382) 152156) ((-112 . -380) T) ((-487 . -926) 152062) ((-1001 . -132) T) ((-932 . -631) 152044) ((-55 . -634) 152026) ((-91 . -107) 152010) ((-942 . -132) T) ((-933 . -870) 151961) ((-722 . -1182) T) ((-720 . -111) 151917) ((-864 . -667) 151834) ((-609 . -1142) T) ((-608 . -1142) T) ((-733 . -738) 151663) ((-732 . -747) T) ((-820 . -25) T) ((-820 . -21) T) ((-500 . -870) T) ((-610 . -1247) T) ((-609 . -23) T) ((-598 . -1247) T) ((-220 . -870) T) ((-420 . -667) 151600) ((-593 . -1079) T) ((-577 . -1079) T) ((-549 . -1247) T) ((-508 . -1079) T) ((-355 . -1316) 151577) ((-330 . -465) 151556) ((-351 . -320) 151543) ((-608 . -23) T) ((-440 . -132) T) ((-679 . -669) 151517) ((-251 . -1040) 151501) ((-895 . -318) T) ((-1321 . -1311) 151485) ((-792 . -813) T) ((-792 . -816) T) ((-722 . -38) 151472) ((-577 . -239) T) ((-508 . -249) T) ((-508 . -239) T) ((-1310 . -502) 151456) ((-1293 . -1247) T) ((-1180 . -241) 151406) ((-1117 . -937) 151385) ((-117 . -38) 151372) ((-211 . -821) T) ((-210 . -821) T) ((-209 . -821) T) ((-208 . -821) T) ((-895 . -1052) 151350) ((-685 . -1247) T) ((-666 . -1247) T) ((-803 . -937) 151329) ((-801 . -937) 151308) ((-1219 . -1247) T) ((-367 . -1247) T) ((-364 . -1247) T) ((-356 . -1247) T) ((-274 . -1247) T) ((-254 . -1247) T) ((-467 . -937) 151287) ((-758 . -502) 151271) ((-1117 . -669) 151160) ((-720 . -634) 151095) ((-803 . -669) 150984) ((-641 . -1086) 150971) ((-492 . -1247) T) ((-355 . -380) T) ((-142 . -502) 150953) ((-801 . -669) 150842) ((-1171 . -1247) T) ((-562 . -870) T) ((-474 . -669) 150813) ((-274 . -910) 150672) ((-254 . -910) NIL) ((-118 . -1086) 150617) ((-467 . -669) 150506) ((-685 . -1068) 150483) ((-641 . -111) 150468) ((-403 . -1081) 150452) ((-367 . -1068) 150436) ((-364 . -1068) 150420) ((-356 . -1068) 150404) ((-274 . -1068) 150248) ((-254 . -1068) 150124) ((-938 . -1247) T) ((-118 . -111) 150053) ((-59 . -1247) T) ((-403 . -661) 150037) ((-639 . -1081) 150021) ((-532 . -1247) T) ((-529 . -1247) T) ((-510 . -1247) T) ((-509 . -1247) T) ((-450 . -631) 150003) ((-447 . -631) 149985) ((-639 . -661) 149969) ((-3 . -102) T) ((-1057 . -1240) 149938) ((-854 . -102) T) ((-710 . -57) 149896) ((-720 . -1079) T) ((-653 . -667) 149865) ((-619 . -667) 149834) ((-50 . -669) 149808) ((-300 . -465) T) ((-489 . -1240) 149777) ((0 . -102) T) ((-594 . -669) 149742) ((-531 . -669) 149687) ((-49 . -102) T) ((-938 . -1068) 149674) ((-720 . -249) T) ((-1110 . -422) 149653) ((-752 . -659) 149601) ((-1029 . -1130) T) ((-733 . -174) 149492) ((-641 . -634) 149387) ((-500 . -1022) 149369) ((-431 . -235) 149314) ((-274 . -389) 149298) ((-254 . -389) 149282) ((-412 . -1130) T) ((-1056 . -102) 149260) ((-351 . -38) 149244) ((-220 . -1022) 149226) ((-118 . -634) 149156) ((-176 . -38) 149088) ((-1281 . -318) 149067) ((-1260 . -318) 149046) ((-679 . -747) T) ((-99 . -631) 149028) ((-490 . -1081) 148993) ((-1197 . -659) 148945) ((-490 . -661) 148910) ((-665 . -873) 148889) ((-498 . -25) T) ((-498 . -21) T) ((-1260 . -1052) 148841) ((-1087 . -1247) T) ((-1 . -1247) T) ((-641 . -1079) T) ((-391 . -417) T) ((-403 . -102) T) ((-1135 . -636) 148756) ((-274 . -926) 148702) ((-254 . -926) 148679) ((-118 . -1079) T) ((-1117 . -747) T) ((-837 . -1142) T) ((-840 . -873) T) ((-641 . -239) 148658) ((-639 . -102) T) ((-524 . -1247) T) ((-520 . -1247) T) ((-803 . -747) T) ((-801 . -747) T) ((-1252 . -870) T) ((-426 . -1142) T) ((-118 . -249) T) ((-40 . -380) NIL) ((-118 . -239) NIL) ((-399 . -873) 148637) ((-467 . -747) T) ((-837 . -23) T) ((-752 . -25) T) ((-752 . -21) T) ((-691 . -920) 148558) ((-1107 . -297) 148537) ((-78 . -409) T) ((-78 . -408) T) ((-546 . -788) 148519) ((-228 . -873) T) ((-715 . -1086) 148469) ((-1322 . -102) T) ((-1289 . -132) T) ((-1282 . -132) T) ((-1261 . -132) T) ((-1204 . -25) T) ((-1172 . -424) 148453) ((-653 . -379) 148385) ((-619 . -379) 148317) 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-1130) 146013) ((-1254 . -865) T) ((-330 . -1003) 145975) ((-105 . -102) T) ((-48 . -1086) 145940) ((-894 . -873) NIL) ((-1321 . -102) T) ((-393 . -102) T) ((-1283 . -631) 145922) ((-1163 . -1164) 145906) ((-1034 . -659) 145888) ((-899 . -1247) T) ((-48 . -111) 145844) ((-702 . -1247) T) ((-697 . -1247) T) ((-683 . -1247) T) ((-836 . -920) 145711) ((-491 . -1247) T) ((-251 . -1247) T) ((-544 . -102) T) ((-513 . -102) T) ((-153 . -1304) 145695) ((-139 . -1247) T) ((-138 . -1247) T) ((-134 . -1247) T) ((-1246 . -102) T) ((-1054 . -634) 145632) ((-838 . -238) T) ((-1202 . -1251) 145611) ((-217 . -380) T) ((-366 . -634) 145541) ((-1155 . -1251) 145520) ((-246 . -25) 145353) ((-246 . -21) 145264) ((-128 . -120) 145248) ((-122 . -120) 145232) ((-44 . -765) 145216) ((-1202 . -569) 145127) ((-1155 . -569) 145058) ((-1254 . -1130) T) ((-559 . -873) T) ((-1065 . -297) 145033) ((-1196 . -1113) T) ((-1024 . -1113) T) ((-837 . -132) T) ((-118 . -816) NIL) ((-118 . -813) NIL) ((-367 . -318) T) 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143042) ((-1219 . -107) 142992) ((-668 . -152) 142976) ((-650 . -152) 142922) ((-117 . -667) 142894) ((-492 . -1223) 142873) ((-500 . -148) T) ((-500 . -146) NIL) ((-1150 . -632) 142788) ((-451 . -631) 142770) ((-220 . -148) T) ((-220 . -146) NIL) ((-1150 . -631) 142752) ((-130 . -102) T) ((-52 . -102) T) ((-1261 . -659) 142704) ((-492 . -107) 142654) ((-1023 . -23) T) ((-1321 . -38) 142624) ((-1202 . -1142) T) ((-1155 . -1142) T) ((-1092 . -1251) T) ((-246 . -235) 142515) ((-322 . -102) T) ((-877 . -1142) T) ((-980 . -1251) 142494) ((-494 . -1251) 142473) ((-1092 . -569) T) ((-980 . -569) 142404) ((-1202 . -23) T) ((-1181 . -1113) T) ((-1155 . -23) T) ((-877 . -23) T) ((-494 . -569) 142335) ((-1172 . -738) 142267) ((-691 . -1081) 142251) ((-1176 . -527) 142184) ((-691 . -661) 142168) ((-1065 . -632) NIL) ((-1065 . -631) 142150) ((-96 . -1113) T) ((-1326 . -1086) 142137) ((-889 . -738) 142107) ((-1326 . -111) 142092) ((-1241 . -47) 142061) ((-1197 . -870) NIL) ((-259 . -132) T) ((-258 . -132) T) ((-1134 . -1130) T) ((-1033 . -1130) T) ((-62 . -631) 142043) ((-1110 . -920) 141912) ((-1054 . -813) T) ((-1054 . -816) T) ((-1289 . -25) T) ((-1289 . -21) T) ((-1282 . -21) T) ((-1282 . -25) T) ((-893 . -669) 141899) ((-1261 . -21) T) ((-1261 . -25) T) ((-1057 . -152) 141883) ((-1034 . -235) 141870) ((-895 . -841) 141849) ((-895 . -948) T) ((-733 . -297) 141776) ((-609 . -21) T) ((-351 . -667) 141735) ((-108 . -920) NIL) ((-609 . -25) T) ((-608 . -21) T) ((-176 . -667) 141652) ((-40 . -747) T) ((-225 . -527) 141585) ((-608 . -25) T) ((-489 . -152) 141569) ((-476 . -152) 141553) ((-185 . -1247) T) ((-949 . -815) T) ((-949 . -747) T) ((-792 . -814) T) ((-792 . -815) T) ((-519 . -1130) T) ((-515 . -1130) T) ((-792 . -747) T) ((-228 . -375) T) ((-1319 . -1081) 141537) ((-1317 . -1081) 141521) ((-1319 . -661) 141491) ((-1187 . -1130) 141469) ((-894 . -1251) T) ((-1317 . -661) 141439) ((-1118 . -873) T) ((-675 . -631) 141421) ((-894 . -569) T) ((-715 . -380) NIL) ((-44 . -1081) 141405) ((-1326 . -634) 141387) ((-1320 . -1130) T) ((-691 . -102) T) ((-371 . -1304) 141371) ((-365 . -1304) 141355) ((-44 . -661) 141339) ((-357 . -1304) 141323) ((-561 . -102) T) ((-1241 . -1247) T) ((-533 . -870) 141302) ((-732 . -1247) T) ((-986 . -873) 141281) ((-871 . -873) T) ((-500 . -238) T) ((-220 . -238) T) ((-1076 . -1130) T) ((-838 . -465) 141260) ((-153 . -1081) 141244) ((-1076 . -1101) 141173) ((-1057 . -1006) 141142) ((-840 . -1142) T) ((-1033 . -738) 141087) ((-153 . -661) 141071) ((-399 . -1142) T) ((-489 . -1006) 141040) ((-476 . -1006) 141009) ((-1213 . -873) T) ((-110 . -152) 140991) ((-73 . -631) 140973) ((-917 . -631) 140955) ((-1212 . -873) T) ((-1110 . -745) 140934) ((-1326 . -1079) T) ((-837 . -659) 140882) ((-305 . -1088) 140824) ((-171 . -1251) 140729) ((-228 . -1142) T) ((-335 . -23) T) ((-1197 . -1022) 140681) ((-1283 . -1086) 140586) ((-864 . -1130) T) ((-129 . -873) T) ((-1156 . -761) 140565) ((-1281 . -948) 140544) ((-1260 . -948) 140523) ((-893 . -747) T) ((-171 . -569) 140434) ((-593 . -669) 140421) ((-577 . -669) 140393) ((-420 . -1130) T) ((-271 . -1130) T) ((-215 . -631) 140375) ((-508 . -669) 140325) ((-228 . -23) T) ((-1260 . -841) 140278) ((-1319 . -102) T) ((-504 . -1247) T) ((-366 . -1316) 140255) ((-1317 . -102) T) ((-1283 . -111) 140147) ((-1143 . -920) 140014) ((-836 . -1081) 139915) ((-836 . -661) 139837) ((-145 . -631) 139819) ((-1023 . -132) T) ((-44 . -102) T) ((-246 . -870) 139770) ((-599 . -1247) T) ((-1270 . -1251) 139749) ((-103 . -502) 139733) ((-1320 . -738) 139703) ((-1117 . -47) 139664) ((-1092 . -1142) T) ((-980 . -1142) T) ((-128 . -34) T) ((-122 . -34) T) ((-1270 . -569) 139575) ((-803 . -47) 139552) ((-801 . -47) 139524) ((-1227 . -1247) T) ((-1202 . -132) T) ((-366 . -380) T) ((-494 . -1142) T) ((-1155 . -132) T) ((-894 . -375) T) ((-467 . -47) 139503) ((-877 . -132) T) ((-333 . -873) 139482) ((-153 . -102) T) ((-1092 . -23) T) ((-980 . -23) T) ((-584 . -569) T) ((-837 . -25) T) ((-837 . -21) T) 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137363) ((-1117 . -1247) T) ((-1065 . -299) 137338) ((-593 . -747) T) ((-577 . -815) T) ((-171 . -375) 137289) ((-577 . -812) T) ((-577 . -747) T) ((-508 . -747) T) ((-803 . -1247) T) ((-801 . -1247) T) ((-1176 . -502) 137273) ((-474 . -1247) T) ((-467 . -1247) T) ((-1319 . -1318) 137249) ((-1117 . -910) NIL) ((-894 . -1142) T) ((-118 . -937) NIL) ((-1317 . -1318) 137228) ((-670 . -1247) T) ((-803 . -910) NIL) ((-801 . -910) 137087) ((-1312 . -25) T) ((-1312 . -21) T) ((-1244 . -102) 137065) ((-1136 . -408) T) ((-641 . -669) 137052) ((-467 . -910) NIL) ((-696 . -102) 137002) ((-1117 . -1068) 136829) ((-894 . -23) T) ((-803 . -1068) 136688) ((-801 . -1068) 136545) ((-118 . -669) 136490) ((-467 . -1068) 136366) ((-285 . -1247) T) ((-327 . -634) 135930) ((-324 . -634) 135813) ((-50 . -1247) T) ((-403 . -667) 135782) ((-670 . -1068) 135766) ((-645 . -102) T) ((-594 . -1247) T) ((-531 . -1247) T) ((-225 . -502) 135750) ((-1297 . -34) T) ((-639 . -667) 135709) ((-300 . -1081) 135696) ((-137 . -634) 135680) ((-300 . -661) 135667) ((-653 . -738) 135651) ((-619 . -738) 135635) ((-691 . -38) 135595) ((-330 . -102) T) ((-1150 . -1086) 135582) ((-85 . -631) 135564) ((-50 . -1068) 135548) ((-1117 . -389) 135532) ((-803 . -389) 135516) ((-720 . -747) T) ((-720 . -815) T) ((-720 . -812) T) ((-60 . -57) 135478) ((-594 . -1068) 135465) ((-531 . -1068) 135442) ((-173 . -1247) T) ((-335 . -132) T) ((-327 . -1079) 135332) ((-324 . -1079) T) ((-171 . -1142) T) ((-801 . -389) 135316) ((-45 . -152) 135266) ((-1034 . -1022) 135248) ((-467 . -389) 135232) ((-420 . -174) T) ((-327 . -249) 135211) ((-324 . -249) T) ((-324 . -239) NIL) ((-305 . -1130) 134993) ((-228 . -132) T) ((-1150 . -111) 134978) ((-171 . -23) T) ((-820 . -148) 134957) ((-820 . -146) 134936) ((-259 . -659) 134842) ((-258 . -659) 134748) ((-330 . -295) 134714) ((-1187 . -527) 134647) ((-490 . -667) 134597) ((-656 . -865) T) ((-495 . -920) 134464) ((-1163 . -1130) T) ((-228 . -1090) T) ((-836 . -320) 134402) ((-1117 . -926) 134337) ((-803 . -926) 134280) ((-801 . -926) 134264) ((-1319 . -38) 134234) ((-1317 . -38) 134204) ((-1270 . -1142) T) ((-878 . -1142) T) ((-467 . -926) 134181) ((-881 . -1130) T) ((-1270 . -23) T) ((-1150 . -634) 134153) ((-1092 . -132) T) ((-878 . -23) T) ((-584 . -1142) T) ((-641 . -747) T) ((-523 . -873) T) ((-367 . -948) T) ((-364 . -948) T) ((-300 . -102) T) ((-356 . -948) T) ((-1000 . -1113) T) ((-980 . -132) T) ((-837 . -235) 134098) ((-118 . -815) NIL) ((-118 . -812) NIL) ((-118 . -747) T) ((-1076 . -527) 133999) ((-715 . -937) NIL) ((-584 . -23) T) ((-494 . -132) T) ((-431 . -238) 133950) ((-696 . -320) 133888) ((-226 . -1247) T) ((-656 . -1130) T) ((-653 . -782) T) ((-619 . -782) T) ((-1261 . -870) NIL) ((-1110 . -1081) 133798) ((-1033 . -301) T) ((-715 . -669) 133748) ((-259 . -25) T) ((-363 . -1130) T) ((-259 . -21) T) ((-258 . -25) T) ((-258 . -21) T) ((-153 . -38) 133732) ((-2 . -102) T) ((-938 . -948) T) ((-1110 . -661) 133600) ((-495 . -1304) 133570) ((-1150 . -1079) 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-870) 127397) ((-733 . -337) 127374) ((-494 . -659) 127322) ((-40 . -1068) 127210) ((-733 . -239) T) ((-722 . -738) 127197) ((-351 . -1130) T) ((-176 . -1130) T) ((-342 . -870) T) ((-431 . -465) 127147) ((-391 . -23) T) ((-371 . -38) 127112) ((-365 . -38) 127077) ((-357 . -38) 127042) ((-80 . -454) T) ((-80 . -408) T) ((-228 . -25) T) ((-228 . -21) T) ((-857 . -1142) T) ((-108 . -38) 126992) ((-848 . -1142) T) ((-795 . -1130) T) ((-117 . -738) 126979) ((-693 . -1068) 126963) ((-630 . -102) T) ((-857 . -23) T) ((-848 . -23) T) ((-1187 . -297) 126915) ((-1143 . -320) 126853) ((-495 . -1081) 126754) ((-1132 . -241) 126738) ((-64 . -409) T) ((-64 . -408) T) ((-1181 . -102) T) ((-110 . -102) T) ((-495 . -661) 126660) ((-40 . -389) 126637) ((-96 . -102) T) ((-674 . -875) 126621) ((-1202 . -235) 126608) ((-1165 . -1113) T) ((-1092 . -21) T) ((-1092 . -25) T) ((-1084 . -1081) 126592) ((-836 . -273) 126561) ((-836 . -233) 126530) ((-980 . -25) T) ((-980 . -21) T) ((-1150 . -380) T) ((-1084 . 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T) ((-658 . -132) T) ((-487 . -375) 119027) ((-371 . -361) 119006) ((-365 . -361) 118985) ((-357 . -361) 118964) ((-327 . -486) 118943) ((-1281 . -23) T) ((-1260 . -23) T) ((-739 . -1142) T) ((-735 . -132) T) ((-674 . -102) T) ((-490 . -738) 118908) ((-683 . -873) 118887) ((-45 . -293) 118837) ((-105 . -1130) T) ((-68 . -631) 118819) ((-251 . -873) 118798) ((-1000 . -102) T) ((-887 . -102) T) ((-641 . -926) 118757) ((-1321 . -1130) T) ((-393 . -1130) T) ((-1270 . -235) 118744) ((-1246 . -1130) T) ((-82 . -1247) T) ((-1143 . -273) 118713) ((-1092 . -870) T) ((-118 . -926) NIL) ((-803 . -948) 118692) ((-734 . -870) T) ((-544 . -1130) T) ((-513 . -1130) T) ((-367 . -1251) T) ((-364 . -1251) T) ((-356 . -1251) T) ((-274 . -1251) 118671) ((-254 . -1251) 118650) ((-546 . -883) T) ((-1143 . -233) 118619) ((-1188 . -849) T) ((-1172 . -1086) 118603) ((-403 . -782) T) ((-715 . -1247) T) ((-712 . -1068) 118587) ((-367 . -569) T) ((-364 . -569) T) ((-356 . -569) T) ((-274 . -569) 118518) ((-254 . -569) 118449) ((-538 . -1113) T) ((-1172 . -111) 118428) ((-466 . -765) 118398) ((-889 . -1086) 118368) ((-838 . -38) 118310) ((-715 . -908) 118292) ((-625 . -1247) T) ((-620 . -1247) T) ((-715 . -910) 118274) ((-306 . -320) 118078) ((-1187 . -299) 118055) ((-938 . -1251) T) ((-1110 . -667) 117950) ((-1034 . -465) T) ((-691 . -424) 117934) ((-889 . -111) 117899) ((-942 . -465) T) ((-715 . -1068) 117844) ((-938 . -569) T) ((-546 . -631) 117826) ((-594 . -948) T) ((-500 . -1081) 117776) ((-487 . -1142) T) ((-531 . -948) T) ((-495 . -928) 117645) ((-65 . -631) 117627) ((-220 . -1081) 117577) ((-500 . -661) 117527) ((-371 . -667) 117464) ((-365 . -667) 117401) ((-357 . -667) 117338) ((-650 . -232) 117284) ((-220 . -661) 117234) ((-108 . -667) 117184) ((-487 . -23) T) ((-1150 . -815) T) ((-895 . -132) T) ((-1150 . -812) T) ((-1312 . -1314) 117163) ((-1150 . -747) T) ((-675 . -669) 117137) ((-305 . -631) 116878) ((-1172 . -634) 116796) ((-1065 . -34) T) ((-837 . -238) 116747) ((-593 . -318) T) ((-577 . -318) T) ((-508 . -318) T) ((-1321 . -738) 116717) ((-715 . -389) 116699) ((-715 . -350) 116681) ((-490 . -174) T) ((-393 . -738) 116651) ((-889 . -634) 116586) ((-894 . -870) NIL) ((-577 . -1052) T) ((-508 . -1052) T) ((-1163 . -631) 116568) ((-1143 . -244) 116547) ((-216 . -102) T) ((-1180 . -102) T) ((-71 . -631) 116529) ((-1054 . -1247) T) ((-1172 . -1079) T) ((-1208 . -38) 116426) ((-881 . -631) 116408) ((-577 . -558) T) ((-691 . -1088) T) ((-752 . -977) 116361) ((-1172 . -239) 116340) ((-366 . -1247) T) ((-1112 . -1130) T) ((-1064 . -25) T) ((-1064 . -21) T) ((-1033 . -1086) 116285) ((-338 . -873) 116264) ((-933 . -102) T) ((-889 . -1079) T) ((-715 . -926) NIL) ((-367 . -340) 116248) ((-367 . -375) T) ((-364 . -340) 116232) ((-364 . -375) T) ((-356 . -340) 116216) ((-356 . -375) T) ((-500 . -102) T) ((-1309 . -38) 116186) ((-559 . -870) T) ((-536 . -708) 116136) ((-220 . -102) T) ((-1054 . -1068) 116016) ((-1033 . -111) 115945) ((-656 . -631) 115927) ((-1204 . -1003) 115896) ((-1203 . -1003) 115858) ((-533 . -152) 115842) ((-1110 . -382) 115821) ((-363 . -631) 115803) ((-333 . -21) T) ((-366 . -1068) 115780) ((-333 . -25) T) ((-1197 . -1003) 115749) ((-48 . -1247) T) ((-76 . -631) 115731) ((-1156 . -1003) 115698) ((-720 . -318) T) ((-130 . -865) T) ((-938 . -375) T) ((-391 . -25) T) ((-391 . -21) T) ((-938 . -340) 115685) ((-86 . -631) 115667) ((-720 . -1052) T) ((-698 . -870) T) ((-401 . -1247) T) ((-1281 . -132) T) ((-1260 . -132) T) ((-929 . -1040) 115651) ((-857 . -21) T) ((-48 . -1068) 115594) ((-857 . -25) T) ((-848 . -25) T) ((-848 . -21) T) ((-1143 . -667) 115373) ((-1319 . -1088) T) ((-562 . -102) T) ((-1317 . -1088) T) ((-675 . -747) T) ((-1134 . -636) 115276) ((-1033 . -634) 115206) ((-1320 . -1086) 115190) ((-932 . -1247) T) ((-836 . -424) 115159) ((-103 . -120) 115143) ((-130 . -1130) T) ((-52 . -1130) T) ((-954 . -631) 115125) ((-894 . -1022) 115102) ((-844 . -102) T) ((-1320 . -111) 115081) ((-752 . -920) 115056) ((-674 . -38) 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112390) ((-1197 . -1257) 112374) ((-528 . -25) T) ((-508 . -313) T) ((-524 . -23) T) ((-523 . -25) T) ((-521 . -25) T) ((-520 . -23) T) ((-431 . -1081) 112348) ((-420 . -1079) T) ((-330 . -1088) T) ((-715 . -318) T) ((-431 . -661) 112322) ((-108 . -869) T) ((-733 . -747) T) ((-420 . -249) T) ((-420 . -239) 112301) ((-391 . -235) 112288) ((-500 . -38) 112238) ((-220 . -38) 112188) ((-487 . -506) 112154) ((-658 . -21) T) ((-658 . -25) T) ((-1254 . -380) T) ((-1188 . -1174) T) ((-1131 . -102) T) ((-848 . -235) 112127) ((-722 . -631) 112109) ((-722 . -632) 112024) ((-735 . -21) T) ((-735 . -25) T) ((-1165 . -102) T) ((-495 . -667) 111803) ((-246 . -920) 111670) ((-135 . -631) 111652) ((-117 . -631) 111634) ((-158 . -25) T) ((-1319 . -1130) T) ((-895 . -659) 111582) ((-1317 . -1130) T) ((-888 . -1247) T) ((-991 . -102) T) ((-756 . -102) T) ((-736 . -102) T) ((-466 . -102) T) ((-837 . -465) 111533) ((-44 . -1130) T) ((-1118 . -870) T) ((-1093 . -320) 111384) ((-685 . -132) T) ((-1084 . -667) 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T) ((-48 . -1052) T) ((-1260 . -659) 110176) ((-710 . -102) 110126) ((-44 . -738) 110110) ((-563 . -102) T) ((-305 . -634) 110041) ((-67 . -395) T) ((-500 . -928) NIL) ((-67 . -408) T) ((-285 . -873) T) ((-220 . -928) NIL) ((-683 . -23) T) ((-838 . -667) 109977) ((-691 . -782) T) ((-1244 . -1130) 109955) ((-363 . -1086) 109900) ((-696 . -1130) 109878) ((-1092 . -148) T) ((-980 . -148) 109857) ((-980 . -146) 109836) ((-820 . -102) T) ((-153 . -738) 109820) ((-494 . -148) 109799) ((-494 . -146) 109778) ((-363 . -111) 109707) ((-1110 . -1088) T) ((-333 . -870) 109686) ((-1289 . -1003) 109655) ((-1283 . -1247) T) ((-645 . -1130) T) ((-1282 . -1003) 109617) ((-524 . -132) T) ((-520 . -132) T) ((-306 . -232) 109567) ((-371 . -1088) T) ((-365 . -1088) T) ((-357 . -1088) T) ((-305 . -1079) 109509) ((-1261 . -1003) 109478) ((-391 . -870) T) ((-108 . -1088) T) ((-1029 . -747) T) ((-893 . -948) T) ((-864 . -816) 109457) ((-864 . -813) 109436) ((-431 . -320) 109375) ((-481 . -102) T) ((-608 . 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. |RecordCategory|) T) ((-1143 . -1088) 105417) ((-854 . -631) 105399) ((-1092 . -238) T) ((-593 . -948) T) ((-577 . -841) T) ((-577 . -948) T) ((-508 . -948) T) ((-137 . -1068) 105383) ((-228 . -95) T) ((-171 . -148) 105362) ((-75 . -454) T) ((0 . -631) 105344) ((-75 . -408) T) ((-171 . -146) 105295) ((-228 . -35) T) ((-49 . -631) 105277) ((-490 . -1088) T) ((-500 . -273) 105259) ((-500 . -233) 105241) ((-497 . -998) 105225) ((-220 . -273) 105207) ((-220 . -233) 105189) ((-81 . -454) T) ((-81 . -408) T) ((-1176 . -34) T) ((-752 . -102) T) ((-674 . -667) 105148) ((-1056 . -631) 105115) ((-513 . -297) 105065) ((-327 . -389) 105034) ((-324 . -389) 104995) ((-324 . -350) 104956) ((-1115 . -631) 104938) ((-837 . -977) 104885) ((-683 . -132) T) ((-1270 . -146) 104864) ((-1270 . -148) 104843) ((-1204 . -102) T) ((-1203 . -102) T) ((-1197 . -102) T) ((-1189 . -1130) T) ((-1156 . -102) T) ((-1105 . -1247) T) ((-225 . -34) T) ((-300 . -738) 104830) ((-1289 . -1288) 104814) ((-1189 . -628) 104790) ((-606 . -320) NIL) ((-1289 . -1275) 104767) ((-1180 . -232) 104717) ((-497 . -1130) 104695) ((-451 . -1247) T) ((-403 . -631) 104677) ((-523 . -870) T) ((-1150 . -1247) T) ((-1282 . -1280) 104638) ((-1282 . -1275) 104608) ((-1282 . -1278) 104592) ((-1261 . -1259) 104553) ((-1261 . -1275) 104530) ((-1261 . -1257) 104514) ((-1204 . -295) 104480) ((-639 . -631) 104462) ((-1203 . -295) 104428) ((-720 . -948) T) ((-1197 . -295) 104394) ((-1156 . -295) 104360) ((-1150 . -910) 104342) ((-1110 . -1130) T) ((-1091 . -1130) T) ((-48 . -313) T) ((-327 . -926) 104308) ((-324 . -926) NIL) ((-1091 . -1098) 104287) ((-820 . -38) 104271) ((-274 . -659) 104219) ((-112 . -873) T) ((-254 . -659) 104167) ((-722 . -1086) 104154) ((-608 . -1275) 104131) ((-1150 . -1068) 104113) ((-330 . -174) 104044) ((-371 . -1130) T) ((-365 . -1130) T) ((-357 . -1130) T) ((-513 . -19) 104026) ((-1132 . -152) 104010) ((-894 . -238) NIL) ((-108 . -1130) T) ((-117 . -1086) 103997) ((-732 . -375) T) ((-513 . -617) 103972) ((-722 . -111) 103957) ((-1322 . -631) 103923) ((-1322 . -503) 103904) ((-1281 . -235) 103850) ((-1260 . -235) 103703) ((-449 . -102) T) ((-899 . -1292) T) ((-257 . -102) T) ((-45 . -1179) 103653) ((-117 . -111) 103638) ((-1299 . -631) 103620) ((-1270 . -238) T) ((-1255 . -631) 103602) ((-1253 . -870) T) ((-653 . -741) T) ((-619 . -741) T) ((-1241 . -1142) T) ((-1241 . -23) T) ((-1202 . -465) 103533) ((-1197 . -320) 103418) ((-1196 . -1130) T) ((-836 . -527) 103351) ((-1065 . -1247) T) ((-246 . -1081) 103252) ((-1188 . -1130) T) ((-1172 . -669) 103190) ((-971 . -152) 103174) ((-1156 . -320) 103161) ((-1155 . -465) 103112) ((-246 . -661) 103034) ((-1117 . -569) 102965) ((-1117 . -1251) 102944) ((-1110 . -738) 102812) ((-538 . -102) T) ((-533 . -102) 102742) ((-1034 . -1081) 102692) ((-1024 . -1130) T) ((-837 . -920) 102588) ((-803 . -1251) 102567) ((-801 . -1251) 102546) ((-62 . -1247) T) ((-490 . -631) 102498) ((-490 . -632) 102420) ((-803 . -569) 102331) ((-801 . -569) 102262) 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100184) ((-73 . -1247) T) ((-105 . -631) 100166) ((-917 . -1247) T) ((-1321 . -631) 100148) ((-393 . -631) 100130) ((-351 . -634) 100082) ((-176 . -634) 99999) ((-1246 . -503) 99980) ((-752 . -38) 99829) ((-584 . -1235) T) ((-584 . -1232) T) ((-544 . -631) 99811) ((-533 . -320) 99749) ((-513 . -631) 99731) ((-513 . -632) 99713) ((-1246 . -631) 99679) ((-1197 . -1182) NIL) ((-215 . -1247) T) ((-1057 . -1101) 99648) ((-1057 . -1130) T) ((-1034 . -102) T) ((-1001 . -102) T) ((-942 . -102) T) ((-917 . -1068) 99625) ((-1172 . -747) T) ((-1033 . -669) 99532) ((-489 . -1130) T) ((-476 . -1130) T) ((-599 . -23) T) ((-584 . -35) T) ((-584 . -95) T) ((-440 . -102) T) ((-1093 . -232) 99478) ((-1204 . -38) 99375) ((-1203 . -38) 99216) ((-949 . -873) T) ((-889 . -747) T) ((-792 . -873) T) ((-715 . -948) T) ((-693 . -873) T) ((-524 . -25) T) ((-520 . -21) T) ((-520 . -25) T) ((-1197 . -38) 99012) ((-351 . -1079) T) ((-145 . -1247) T) ((-1110 . -174) T) ((-176 . -1079) T) ((-1156 . -38) 98909) ((-733 . -47) 98886) ((-371 . -174) T) ((-365 . -174) T) ((-532 . -57) 98860) ((-510 . -57) 98810) ((-363 . -1316) 98787) ((-228 . -465) T) ((-330 . -301) 98738) ((-357 . -174) T) ((-176 . -249) T) ((-1260 . -870) 98637) ((-108 . -174) T) ((-895 . -1022) 98621) ((-679 . -1142) T) ((-594 . -375) T) ((-594 . -340) 98608) ((-531 . -340) 98585) ((-531 . -375) T) ((-327 . -318) 98564) ((-324 . -318) T) ((-615 . -870) 98543) ((-1143 . -738) 98485) ((-622 . -1247) T) ((-533 . -293) 98469) ((-679 . -23) T) ((-431 . -233) 98453) ((-431 . -273) 98437) ((-324 . -1052) NIL) ((-348 . -23) T) ((-103 . -1040) 98421) ((-656 . -380) T) ((-45 . -36) 98400) ((-630 . -1130) T) ((-363 . -380) T) ((-537 . -102) T) ((-508 . -27) T) ((-246 . -320) 98338) ((-1117 . -1142) T) ((-1320 . -669) 98312) ((-803 . -1142) T) ((-801 . -1142) T) ((-1208 . -424) 98296) ((-467 . -1142) T) ((-1092 . -465) T) ((-1181 . -1130) T) ((-980 . -465) 98247) ((-1145 . -1113) T) ((-110 . -1130) T) ((-1117 . -23) T) ((-1189 . -527) 98030) 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-977) 94641) ((-44 . -297) 94618) ((-130 . -631) 94585) ((-52 . -631) 94567) ((-217 . -873) T) ((-674 . -424) 94551) ((-1261 . -102) T) ((-1188 . -527) NIL) ((-683 . -25) T) ((-639 . -1086) 94535) ((-683 . -21) T) ((-991 . -667) 94445) ((-756 . -667) 94390) ((-736 . -667) 94362) ((-403 . -111) 94341) ((-225 . -262) 94325) ((-1084 . -1083) 94265) ((-1084 . -1130) T) ((-1034 . -1182) T) ((-839 . -1130) T) ((-466 . -667) 94180) ((-653 . -669) 94164) ((-639 . -111) 94143) ((-619 . -669) 94127) ((-609 . -102) T) ((-355 . -1251) T) ((-322 . -503) 94108) ((-599 . -132) T) ((-608 . -102) T) ((-427 . -1130) T) ((-397 . -1130) T) ((-322 . -631) 94074) ((-230 . -1130) 94052) ((-668 . -527) 93985) ((-650 . -527) 93829) ((-854 . -1079) 93808) ((-665 . -152) 93792) ((-355 . -569) T) ((-733 . -926) 93735) ((-563 . -232) 93685) ((-1289 . -295) 93651) ((-1282 . -295) 93617) ((-1110 . -301) 93568) ((-577 . -873) T) ((-500 . -869) T) ((-226 . -1142) T) ((-1261 . -295) 93534) ((-1241 . -506) 93500) 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90854) ((-1189 . -502) 90788) ((-1312 . -1081) 90772) ((-393 . -1086) 90756) ((-1312 . -661) 90726) ((-837 . -102) T) ((-490 . -249) T) ((-735 . -148) 90705) ((-735 . -146) 90684) ((-118 . -873) NIL) ((-497 . -502) 90668) ((-498 . -347) 90637) ((-525 . -1130) 90588) ((-1321 . -111) 90567) ((-1029 . -389) 90551) ((-426 . -102) T) ((-393 . -111) 90530) ((-1029 . -350) 90514) ((-289 . -1013) 90498) ((-288 . -1013) 90482) ((-1034 . -928) NIL) ((-1319 . -631) 90464) ((-1317 . -631) 90446) ((-110 . -527) NIL) ((-1202 . -1273) 90430) ((-877 . -875) 90414) ((-1208 . -1130) T) ((-103 . -1247) T) ((-980 . -977) 90375) ((-838 . -738) 90317) ((-1261 . -1182) NIL) ((-494 . -977) 90262) ((-1092 . -144) T) ((-60 . -102) 90212) ((-44 . -631) 90194) ((-78 . -631) 90176) ((-363 . -669) 90121) ((-624 . -1130) T) ((-623 . -1130) T) ((-621 . -1130) T) ((-1309 . -1130) T) ((-524 . -870) T) ((-300 . -297) 90100) ((-355 . -1142) T) ((-306 . -1130) T) ((-1029 . -926) 90059) ((-306 . -628) 90038) ((-1321 . -634) 89987) ((-1289 . -38) 89884) ((-1282 . -38) 89725) ((-1261 . -38) 89521) ((-500 . -1088) T) ((-393 . -634) 89505) ((-220 . -1088) T) ((-355 . -23) T) ((-153 . -631) 89487) ((-854 . -816) 89466) ((-854 . -813) 89445) ((-1246 . -634) 89426) ((-609 . -38) 89399) ((-608 . -38) 89296) ((-893 . -569) T) ((-226 . -132) T) ((-330 . -1032) 89262) ((-79 . -631) 89244) ((-733 . -318) 89223) ((-305 . -747) 89125) ((-845 . -102) T) ((-887 . -865) T) ((-305 . -486) 89104) ((-1312 . -102) T) ((-40 . -375) T) ((-895 . -148) 89083) ((-498 . -667) 89065) ((-895 . -146) 89044) ((-1188 . -502) 89026) ((-1321 . -1079) T) ((-495 . -527) 88959) ((-660 . -132) T) ((-1176 . -1247) T) ((-992 . -631) 88941) ((-668 . -502) 88925) ((-650 . -502) 88856) ((-836 . -631) 88549) ((-48 . -27) T) ((-1208 . -738) 88446) ((-980 . -920) 88425) ((-674 . -1130) T) ((-884 . -883) T) ((-449 . -376) 88399) ((-752 . -667) 88309) ((-494 . -920) 88284) ((-1132 . -102) T) ((-1000 . -1130) T) ((-887 . -1130) T) ((-837 . -320) 88271) ((-546 . -540) T) ((-546 . -589) T) ((-1317 . -394) 88243) ((-715 . -873) T) ((-1084 . -527) 88176) ((-1189 . -297) 88152) ((-246 . -273) 88121) ((-246 . -233) 88090) ((-259 . -1081) 87991) ((-258 . -1081) 87892) ((-1309 . -738) 87862) ((-1196 . -93) T) ((-1024 . -93) T) ((-838 . -174) 87841) ((-259 . -661) 87763) ((-258 . -661) 87685) ((-1244 . -503) 87662) ((-591 . -1247) T) ((-230 . -527) 87595) ((-639 . -816) 87574) ((-639 . -813) 87553) ((-1244 . -631) 87465) ((-225 . -1247) T) ((-696 . -631) 87397) ((-1204 . -667) 87307) ((-1187 . -1040) 87291) ((-971 . -102) 87221) ((-363 . -747) T) ((-884 . -631) 87203) ((-1203 . -667) 87085) ((-1197 . -667) 86922) ((-1156 . -667) 86832) ((-1261 . -413) 86784) ((-1143 . -502) 86768) ((-60 . -320) 86706) ((-342 . -102) T) ((-1241 . -21) T) ((-1241 . -25) T) ((-40 . -1142) T) ((-732 . -21) T) ((-645 . -631) 86688) ((-528 . -334) 86667) ((-732 . -25) T) ((-452 . -102) T) ((-108 . -297) NIL) ((-949 . -1142) T) ((-40 . -23) T) ((-792 . -1142) T) ((-577 . -1251) T) ((-508 . -1251) T) ((-1034 . -273) 86649) ((-330 . -631) 86631) ((-1034 . -233) 86613) ((-171 . -167) 86597) ((-593 . -569) T) ((-577 . -569) T) ((-508 . -569) T) ((-792 . -23) T) ((-1281 . -148) 86576) ((-1281 . -146) 86555) ((-1189 . -617) 86531) ((-1260 . -146) 86456) ((-1057 . -502) 86440) ((-1254 . -1247) T) ((-1260 . -148) 86365) ((-1312 . -1318) 86344) ((-894 . -920) NIL) ((-489 . -502) 86328) ((-476 . -502) 86312) ((-536 . -34) T) ((-674 . -738) 86282) ((-1289 . -928) 86195) ((-1282 . -928) 86101) ((-1261 . -928) 85862) ((-112 . -997) T) ((-1208 . -174) 85813) ((-683 . -870) 85792) ((-377 . -102) T) ((-608 . -928) 85705) ((-246 . -244) 85684) ((-259 . -102) T) ((-258 . -102) T) ((-1270 . -977) 85653) ((-251 . -870) 85632) ((-1054 . -873) T) ((-837 . -38) 85481) ((-45 . -527) 85273) ((-1188 . -297) 85223) ((-216 . -1130) T) ((-1180 . -1130) T) ((-895 . -238) 85174) ((-1180 . -628) 85153) ((-599 . -25) T) ((-599 . -21) T) ((-1132 . -320) 85091) ((-991 . -424) 85075) ((-720 . -1251) T) ((-650 . -297) 85028) ((-1117 . -659) 84976) ((-933 . -1130) T) ((-803 . -659) 84924) ((-801 . -659) 84872) ((-355 . -132) T) ((-300 . -631) 84854) ((-893 . -1142) T) ((-720 . -569) T) ((-130 . -634) 84836) ((-467 . -659) 84784) ((-171 . -920) 84705) ((-933 . -931) 84689) ((-391 . -465) T) ((-500 . -1130) T) ((-971 . -320) 84627) ((-722 . -669) 84599) ((-562 . -865) T) ((-220 . -1130) T) ((-327 . -948) 84578) ((-324 . -948) T) ((-324 . -841) NIL) ((-403 . -741) T) ((-893 . -23) T) ((-117 . -669) 84565) ((-487 . -146) 84544) ((-431 . -424) 84528) ((-487 . -148) 84507) ((-110 . -502) 84489) ((-322 . -634) 84470) ((-2 . -631) 84452) ((-188 . -102) T) ((-1188 . -19) 84434) ((-1188 . -617) 84409) ((-679 . -21) T) ((-679 . -25) T) ((-606 . -1174) T) ((-1143 . -297) 84386) ((-348 . -25) T) ((-348 . -21) T) ((-913 . -1247) T) ((-909 . -1247) T) ((-1319 . -1086) 84370) ((-246 . -667) 84149) ((-508 . -375) T) ((-1317 . -1086) 84133) ((-1312 . -38) 84103) ((-1281 . -1232) 84069) ((-1281 . -1235) 84035) ((-1270 . -920) 83938) ((-1202 . -1081) 83761) ((-1172 . -1247) T) ((-1155 . -1081) 83604) ((-877 . -1081) 83588) ((-650 . -617) 83563) ((-1281 . -95) 83529) ((-1281 . -238) 83481) ((-1264 . -102) 83459) ((-1202 . -661) 83288) ((-1155 . -661) 83137) ((-877 . -661) 83107) ((-1261 . -233) 83059) ((-1117 . -25) T) ((-562 . -1130) T) ((-1117 . -21) T) ((-991 . -1088) T) ((-544 . -813) T) ((-544 . -816) T) ((-118 . -1251) T) ((-889 . -1247) T) ((-641 . -569) T) ((-803 . -25) T) ((-803 . -21) T) ((-801 . -21) T) ((-801 . -25) T) ((-756 . -1088) T) ((-736 . -1088) T) ((-691 . -1086) 83043) ((-530 . -1113) T) ((-474 . -25) T) ((-118 . -569) T) ((-474 . -21) T) ((-467 . -25) T) ((-467 . -21) T) ((-1261 . -273) 82995) ((-1181 . -93) T) ((-1172 . -1068) 82891) ((-838 . -301) 82870) ((-1260 . -1232) 82836) ((-844 . -1130) T) ((-994 . -997) T) ((-691 . -111) 82815) ((-635 . -1247) T) ((-306 . -527) 82607) ((-1260 . -1235) 82573) ((-1260 . -238) 82432) ((-1255 . -380) T) ((-259 . -320) 82370) ((-258 . -320) 82308) ((-1252 . -865) T) ((-1189 . -632) NIL) ((-1189 . -631) 82290) ((-1172 . -389) 82274) ((-1150 . -841) T) ((-1150 . -948) T) ((-96 . -93) T) ((-1143 . -617) 82251) ((-1110 . -632) 82235) ((-1110 . -631) 82217) ((-1034 . -667) 82167) ((-942 . -667) 82104) ((-836 . -299) 82081) ((-497 . -631) 82013) ((-626 . -152) 81960) ((-500 . -738) 81910) ((-431 . -1088) T) ((-495 . -502) 81894) ((-440 . -667) 81853) ((-338 . -870) 81832) ((-351 . -669) 81806) ((-50 . -21) T) ((-50 . -25) T) ((-220 . -738) 81756) ((-171 . -745) 81727) ((-176 . -669) 81659) ((-594 . -21) T) ((-594 . -25) T) ((-531 . -25) T) ((-531 . -21) T) ((-488 . -152) 81609) ((-1091 . -631) 81591) ((-1023 . -102) T) ((-885 . -102) T) ((-837 . -928) 81491) ((-820 . -424) 81454) ((-40 . -132) T) ((-720 . -375) T) ((-722 . -747) T) ((-722 . -815) T) ((-722 . -812) T) ((-214 . -921) T) ((-593 . -1142) T) ((-577 . -1142) T) ((-508 . -1142) T) ((-371 . -631) 81436) ((-365 . -631) 81418) ((-357 . -631) 81400) ((-66 . -409) T) ((-66 . -408) T) ((-108 . -632) 81330) ((-108 . -631) 81272) ((-213 . -921) T) ((-986 . -152) 81256) ((-792 . -132) T) ((-691 . -634) 81174) ((-135 . -747) T) ((-117 . -747) T) ((-1281 . -35) 81140) ((-1084 . -502) 81124) ((-593 . -23) T) ((-577 . -23) T) ((-508 . -23) T) ((-1260 . -95) 81090) ((-1260 . -35) 81056) ((-1202 . -102) T) ((-1155 . -102) T) ((-877 . -102) T) ((-230 . -502) 81040) ((-1319 . -111) 81019) ((-1317 . -111) 80998) ((-44 . -1086) 80982) ((-1320 . -1247) T) ((-1319 . -634) 80928) ((-1319 . -1079) T) ((-1317 . -634) 80857) ((-1317 . -1079) T) ((-1270 . -1273) 80841) ((-878 . -875) 80825) ((-1208 . -301) 80804) ((-1134 . -1247) T) ((-110 . -297) 80754) ((-1033 . -1247) T) ((-129 . -152) 80736) ((-1172 . -926) 80695) ((-44 . -111) 80674) ((-1252 . -1130) T) ((-1211 . -1292) T) ((-1197 . -869) NIL) ((-1196 . -503) 80655) ((-691 . -1079) T) ((-1196 . -631) 80621) ((-1188 . -631) 80603) ((-487 . -238) 80555) ((-1093 . -628) 80530) ((-1024 . -503) 80511) ((-74 . -454) T) ((-74 . -408) T) ((-1093 . -1130) T) ((-153 . -1086) 80495) ((-1024 . -631) 80461) ((-691 . -239) 80440) ((-584 . -567) 80424) ((-367 . -148) 80403) ((-367 . -146) 80354) ((-364 . -148) 80333) ((-364 . -146) 80284) ((-356 . -148) 80263) ((-356 . -146) 80214) ((-274 . -146) 80193) ((-274 . -148) 80172) ((-254 . -148) 80151) ((-118 . -375) T) ((-254 . -146) 80130) ((-1188 . -632) NIL) ((-153 . -111) 80109) ((-1033 . -1068) 79997) ((-1187 . -1247) T) ((-715 . -1251) T) ((-820 . -1088) T) ((-720 . -1142) T) ((-1033 . -389) 79974) ((-519 . -1247) T) ((-515 . -1247) T) ((-938 . -146) T) ((-938 . -148) 79956) ((-893 . -132) T) ((-836 . -1086) 79877) ((-720 . -23) T) ((-715 . -569) T) ((-228 . -1081) 79842) ((-668 . -631) 79774) ((-668 . -632) 79735) ((-650 . -632) NIL) ((-650 . -631) 79717) ((-500 . -174) T) ((-228 . -661) 79682) ((-220 . -174) T) ((-226 . -21) T) ((-226 . -25) T) ((-487 . -1235) 79648) ((-487 . -1232) 79614) ((-284 . -631) 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. -667) 25809) ((-254 . -667) 25719) ((-1312 . -394) 25691) ((-530 . -1130) T) ((-118 . -465) T) ((-1227 . -102) T) ((-1122 . -1130) 25661) ((-1064 . -1130) T) ((-1145 . -93) T) ((-917 . -870) T) ((-1289 . -111) 25530) ((-363 . -1251) T) ((-1289 . -1086) 25413) ((-1143 . -389) 25382) ((-1282 . -1086) 25217) ((-1261 . -1086) 25007) ((-1282 . -111) 24828) ((-1261 . -111) 24597) ((-1241 . -320) 24584) ((-1033 . -132) T) ((-938 . -667) 24534) ((-377 . -631) 24516) ((-363 . -569) T) ((-300 . -318) T) ((-609 . -1086) 24476) ((-608 . -1086) 24359) ((-594 . -1081) 24324) ((-531 . -1081) 24269) ((-373 . -1130) T) ((-333 . -1130) T) ((-259 . -631) 24230) ((-258 . -631) 24191) ((-594 . -661) 24156) ((-531 . -661) 24101) ((-715 . -422) 24068) ((-653 . -23) T) ((-619 . -23) T) ((-40 . -920) 23975) ((-679 . -102) T) ((-609 . -111) 23928) ((-608 . -111) 23797) ((-391 . -1130) T) ((-348 . -102) T) ((-171 . -301) 23708) ((-1260 . -869) 23661) ((-735 . -1088) T) ((-630 . -1247) T) ((-1177 . -527) 23594) 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17245) ((-344 . -102) T) ((-335 . -631) 17227) ((-171 . -297) 17185) ((-1255 . -873) T) ((-63 . -1247) T) ((-112 . -102) T) ((-895 . -1130) T) ((-525 . -1247) T) ((-176 . -569) T) ((-735 . -738) 17155) ((-305 . -132) 17038) ((-228 . -631) 17020) ((-228 . -632) 16950) ((-1033 . -659) 16889) ((-1312 . -1079) T) ((-1208 . -1247) T) ((-1150 . -148) T) ((-650 . -1223) 16864) ((-752 . -937) 16843) ((-606 . -34) T) ((-668 . -107) 16827) ((-650 . -107) 16773) ((-624 . -1247) T) ((-623 . -1247) T) ((-621 . -1247) T) ((-1309 . -1247) T) ((-641 . -920) 16694) ((-1270 . -297) 16621) ((-752 . -669) 16510) ((-306 . -1247) T) ((-1208 . -1068) 16406) ((-971 . -636) 16383) ((-590 . -589) T) ((-590 . -540) T) ((-542 . -540) T) ((-118 . -920) NIL) ((-1197 . -937) NIL) ((-1092 . -632) 16298) ((-1092 . -631) 16280) ((-980 . -631) 16262) ((-734 . -503) 16212) ((-355 . -102) T) ((-259 . -1086) 16133) ((-258 . -1086) 16054) ((-407 . -102) T) ((-31 . -1130) T) ((-980 . -632) 15915) ((-734 . -631) 15850) 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((-327 . -95) 14388) ((-91 . -527) 14321) ((-176 . -375) T) ((-259 . -634) 14119) ((-258 . -634) 13917) ((-327 . -35) 13896) ((-626 . -502) 13830) ((-135 . -23) T) ((-117 . -23) T) ((-994 . -102) T) ((-739 . -1130) T) ((-488 . -502) 13767) ((-420 . -659) 13715) ((-674 . -1068) 13611) ((-986 . -502) 13595) ((-367 . -1088) T) ((-364 . -1088) T) ((-356 . -1088) T) ((-274 . -1088) T) ((-254 . -1088) T) ((-894 . -632) NIL) ((-894 . -631) 13577) ((-1308 . -503) 13558) ((-1307 . -503) 13539) ((-1320 . -21) T) ((-1308 . -631) 13505) ((-1307 . -631) 13471) ((-584 . -1032) T) ((-752 . -747) T) ((-1320 . -25) T) ((-259 . -1079) 13449) ((-258 . -1079) 13427) ((-72 . -1247) T) ((-1172 . -235) 13372) ((-259 . -239) 13324) ((-258 . -239) 13276) ((-1150 . -238) T) ((-40 . -102) T) ((-938 . -1088) T) ((-715 . -920) NIL) ((-1211 . -102) T) ((-129 . -502) 13258) ((-1204 . -747) T) ((-1203 . -747) T) ((-1197 . -747) T) ((-1197 . -812) NIL) ((-1197 . -815) NIL) ((-982 . -102) T) ((-949 . -102) T) ((-893 . -1081) 13245) ((-1156 . -747) T) ((-792 . -102) T) ((-693 . -102) T) ((-893 . -661) 13232) ((-559 . -631) 13214) ((-487 . -1130) T) ((-351 . -1142) T) ((-176 . -1142) T) ((-330 . -948) 13193) ((-1281 . -738) 13034) ((-895 . -174) T) ((-1260 . -738) 12848) ((-864 . -21) 12800) ((-864 . -25) 12752) ((-251 . -1179) 12736) ((-127 . -527) 12669) ((-420 . -25) T) ((-420 . -21) T) ((-351 . -23) T) ((-171 . -632) 12435) ((-171 . -631) 12417) ((-176 . -23) T) ((-665 . -299) 12394) ((-533 . -34) T) ((-924 . -631) 12376) ((-89 . -1247) T) ((-862 . -631) 12358) ((-829 . -631) 12340) ((-790 . -631) 12322) ((-698 . -631) 12304) ((-246 . -669) 12137) ((-635 . -113) T) ((-1206 . -1130) T) ((-1202 . -1086) 11960) ((-216 . -1247) T) ((-1180 . -1247) T) ((-1155 . -1086) 11803) ((-877 . -1086) 11787) ((-1112 . -873) T) ((-1264 . -636) 11771) ((-1202 . -111) 11580) ((-1155 . -111) 11409) ((-877 . -111) 11388) ((-1254 . -870) T) ((-1270 . -632) NIL) ((-1270 . -631) 11370) ((-355 . -1182) T) ((-878 . -631) 11352) ((-1106 . -297) 11331) ((-1241 . -667) 11241) ((-80 . -1247) T) ((-933 . -1247) T) ((-1233 . -527) 11174) ((-1034 . -937) NIL) ((-1117 . -273) 11158) ((-626 . -297) 11134) ((-1117 . -233) 11118) ((-500 . -1247) T) ((-584 . -631) 11100) ((-488 . -297) 11079) ((-1034 . -669) 11029) ((-530 . -93) T) ((-1033 . -235) 10960) ((-220 . -1247) T) ((-986 . -297) 10912) ((-893 . -102) T) ((-300 . -948) T) ((-838 . -318) 10891) ((-803 . -273) 10875) ((-803 . -233) 10859) ((-942 . -669) 10811) ((-732 . -667) 10761) ((-715 . -745) 10728) ((-653 . -21) T) ((-653 . -25) T) ((-619 . -21) T) ((-560 . -102) T) ((-355 . -38) 10693) ((-500 . -908) 10675) ((-500 . -910) 10657) ((-487 . -738) 10498) ((-64 . -1247) T) ((-220 . -908) 10480) ((-220 . -910) 10462) ((-619 . -25) T) ((-440 . -669) 10436) ((-1202 . -634) 10205) ((-500 . -1068) 10165) ((-895 . -527) 10077) ((-1155 . -634) 9869) ((-877 . -634) 9787) ((-220 . -1068) 9747) ((-246 . -34) T) ((-1030 . -1130) 9725) ((-593 . -1081) 9712) ((-577 . -1081) 9699) ((-508 . -1081) 9664) ((-1281 . -174) 9595) ((-1260 . -174) 9526) ((-593 . -661) 9513) ((-577 . -661) 9500) ((-508 . -661) 9465) ((-733 . -146) 9444) ((-733 . -148) 9423) ((-130 . -873) T) ((-722 . -132) T) ((-562 . -1247) T) ((-137 . -478) 9400) ((-1177 . -631) 9332) ((-679 . -677) 9316) ((-129 . -297) 9266) ((-117 . -132) T) ((-490 . -1251) T) ((-626 . -617) 9242) ((-488 . -617) 9221) ((-610 . -1130) T) ((-348 . -347) 9190) ((-598 . -1130) T) ((-549 . -1130) T) ((-490 . -569) T) ((-1202 . -1079) T) ((-1155 . -1079) T) ((-877 . -1079) T) ((-844 . -1247) T) ((-246 . -815) 9169) ((-246 . -814) 9148) ((-1202 . -337) 9125) ((-246 . -747) 9103) ((-986 . -19) 9087) ((-500 . -389) 9069) ((-500 . -350) 9051) ((-1155 . -337) 9023) ((-366 . -1304) 9000) ((-220 . -389) 8982) ((-220 . -350) 8964) ((-986 . -617) 8941) ((-1202 . -239) T) ((-1293 . -1130) T) ((-1219 . -1130) T) ((-685 . -1130) T) ((-666 . -1130) T) ((-1117 . -261) 8878) ((-599 . -667) 8838) ((-367 . -1130) T) ((-364 . -1130) T) ((-356 . -1130) T) ((-274 . -1130) T) ((-254 . -1130) T) ((-84 . -1247) T) ((-217 . -102) T) ((-128 . -102) 8788) ((-122 . -102) 8738) ((-1260 . -527) 8598) ((-1219 . -628) 8577) ((-1171 . -1130) T) ((-1145 . -634) 8558) ((-1110 . -948) 8509) ((-492 . -1130) T) ((-1034 . -815) T) ((-1034 . -812) T) ((-492 . -628) 8488) ((-259 . -816) 8467) ((-259 . -813) 8446) ((-258 . -816) 8425) ((-40 . -1182) NIL) ((-258 . -813) 8404) ((-1034 . -747) T) ((-129 . -19) 8386) ((-1001 . -815) T) ((-720 . -1081) 8351) ((-942 . -747) T) ((-938 . -1130) T) ((-916 . -631) 8333) ((-129 . -617) 8308) ((-720 . -661) 8273) ((-91 . -502) 8257) ((-500 . -926) NIL) ((-895 . -301) T) ((-228 . -1086) 8222) ((-857 . -297) 8201) ((-220 . -926) NIL) ((-854 . -1142) 8180) ((-59 . -1130) 8130) ((-532 . -1130) 8108) ((-529 . -1130) 8058) ((-510 . -1130) 8036) ((-509 . -1130) 7986) ((-593 . -102) T) ((-577 . -102) T) ((-508 . -102) T) ((-487 . -174) 7917) ((-371 . -948) T) ((-365 . -948) T) ((-357 . -948) T) ((-228 . -111) 7873) ((-854 . -23) 7825) ((-440 . -747) T) ((-108 . -948) T) ((-40 . -38) 7770) ((-108 . -841) T) ((-594 . -361) T) ((-531 . -361) T) ((-679 . -667) 7729) ((-327 . -465) 7708) ((-324 . -465) T) ((-615 . -527) 7641) ((-420 . -235) 7586) ((-351 . -132) T) ((-176 . -132) T) ((-305 . -25) 7450) ((-305 . -21) 7333) ((-45 . -1223) 7312) ((-66 . -631) 7294) ((-55 . -102) T) ((-348 . -667) 7276) ((-1298 . -102) T) ((-1297 . -102) 7206) ((-1289 . -669) 7131) ((-1282 . -669) 7028) ((-45 . -107) 6978) ((-840 . -634) 6962) ((-1261 . -669) 6814) ((-1261 . -937) NIL) ((-1252 . -1247) T) ((-1228 . -631) 6796) ((-1220 . -102) T) ((-1132 . -438) 6780) ((-1132 . -380) 6759) ((-399 . -634) 6743) ((-335 . -634) 6727) ((-1126 . -93) T) ((-1117 . -667) 6637) ((-1093 . -1247) T) ((-1092 . -1086) 6624) ((-1092 . -111) 6609) ((-980 . -111) 6438) ((-980 . -1086) 6281) ((-803 . -667) 6191) ((-801 . -667) 6101) ((-685 . -738) 6085) ((-641 . -1081) 6072) ((-641 . -661) 6059) ((-561 . -873) T) ((-494 . -1086) 5902) ((-490 . -375) T) ((-474 . -667) 5858) ((-467 . -667) 5768) ((-228 . -634) 5718) ((-367 . -738) 5670) ((-364 . -738) 5622) ((-118 . -1081) 5567) ((-356 . -738) 5519) ((-274 . -738) 5368) ((-254 . -738) 5217) ((-1120 . -93) T) ((-1103 . -93) T) ((-118 . -661) 5162) ((-1096 . -93) T) ((-971 . -672) 5146) ((-1087 . -1130) 5124) ((-494 . -111) 4953) ((-1066 . -93) T) ((-1049 . -93) T) ((-971 . -385) 4937) ((-255 . -102) T) ((-991 . -47) 4916) ((-74 . -631) 4898) ((-733 . -238) T) ((-731 . -102) T) ((-720 . -102) T) ((-1 . -1130) T) ((-639 . -1142) T) ((-1118 . -631) 4880) ((-644 . -93) T) ((-1106 . -631) 4862) ((-938 . -738) 4827) ((-127 . -502) 4811) ((-496 . -93) T) ((-639 . -23) T) ((-403 . -23) T) ((-87 . -1247) T) ((-221 . -93) T) ((-626 . -631) 4793) ((-626 . -632) NIL) ((-488 . -632) NIL) ((-488 . -631) 4775) ((-363 . -25) T) ((-363 . -21) T) ((-50 . -667) 4734) ((-524 . -1130) T) ((-520 . -1130) T) ((-122 . -320) 4672) ((-128 . -320) 4610) ((-609 . -669) 4584) ((-608 . -669) 4509) ((-594 . -667) 4459) ((-228 . -1079) T) ((-531 . -667) 4389) ((-1092 . -634) 4361) ((-391 . -1032) T) ((-228 . -249) T) ((-228 . -239) T) ((-871 . -503) 4345) ((-1092 . -636) 4326) ((-986 . -632) 4287) ((-986 . -631) 4199) ((-980 . -634) 3988) ((-871 . -631) 3936) ((-893 . -38) 3923) ((-734 . -634) 3873) ((-1281 . -301) 3824) ((-1260 . -301) 3775) ((-494 . -634) 3560) ((-1150 . -465) T) ((-515 . -870) T) ((-327 . -1169) 3539) ((-1131 . -1247) T) ((-1029 . -148) 3518) ((-1029 . -146) 3497) ((-508 . -320) 3484) ((-1214 . -631) 3466) ((-306 . -1223) 3445) ((-1213 . -631) 3427) ((-1165 . -1247) T) ((-1212 . -631) 3409) ((-894 . -1086) 3354) ((-490 . -1142) T) ((-140 . -856) 3336) ((-115 . -856) 3317) ((-1233 . -502) 3301) ((-1092 . -1079) T) ((-641 . -102) T) ((-991 . -1247) T) ((-980 . -1079) T) ((-259 . -380) 3280) ((-258 . -380) 3259) ((-894 . -111) 3188) ((-306 . -107) 3138) ((-131 . -631) 3120) ((-129 . -632) NIL) ((-129 . -631) 3064) ((-118 . -102) T) ((-756 . -1247) T) ((-736 . -1247) T) ((-490 . -23) T) ((-466 . -1247) T) ((-494 . -1079) T) ((-1092 . -239) T) ((-980 . -337) 3033) ((-40 . -928) 2942) ((-494 . -337) 2899) ((-367 . -174) T) ((-364 . -174) T) ((-356 . -174) T) ((-274 . -174) 2810) ((-254 . -174) 2721) ((-991 . -1068) 2617) ((-530 . -503) 2598) ((-756 . -1068) 2569) ((-530 . -631) 2535) ((-431 . -1247) T) ((-1135 . -102) T) ((-1122 . -631) 2494) ((-1064 . -631) 2476) ((-715 . -1081) 2426) ((-1310 . -152) 2410) ((-1308 . -634) 2391) ((-1307 . -634) 2372) ((-1302 . -631) 2354) ((-1289 . -747) T) ((-715 . -661) 2304) ((-1282 . -747) T) ((-1261 . -812) NIL) ((-1261 . -815) NIL) ((-171 . -1086) 2214) ((-938 . -174) T) ((-894 . -634) 2144) ((-1261 . -747) T) ((-1033 . -354) 2118) ((-226 . -667) 2070) ((-1030 . -527) 2003) ((-864 . -870) 1982) ((-577 . -1182) T) ((-487 . -301) 1933) ((-609 . -747) T) ((-373 . -631) 1915) ((-333 . -631) 1897) ((-431 . -1068) 1793) ((-608 . -747) T) ((-420 . -870) 1744) ((-171 . -111) 1640) ((-854 . -132) 1592) ((-1297 . -320) 1530) ((-758 . -152) 1514) ((-992 . -873) 1413) ((-836 . -873) 1364) ((-500 . -318) T) ((-391 . -631) 1331) ((-533 . -1040) 1315) ((-391 . -632) 1229) ((-220 . -318) T) ((-142 . -152) 1211) ((-735 . -297) 1190) ((-500 . -1052) T) ((-593 . -38) 1177) ((-577 . -38) 1164) ((-508 . -38) 1129) ((-660 . -667) 1098) ((-220 . -1052) T) ((-894 . -1079) T) ((-857 . -631) 1080) ((-848 . -631) 1062) ((-846 . -631) 1044) ((-837 . -937) 1023) ((-1321 . -1142) T) ((-323 . -1247) T) ((-1270 . -1086) 846) ((-878 . -1086) 830) ((-894 . -249) T) ((-894 . -239) NIL) ((-710 . -1247) T) ((-1321 . -23) T) ((-837 . -669) 719) ((-563 . -1247) T) ((-431 . -350) 703) ((-584 . -1086) 690) ((-1270 . -111) 499) ((-722 . -659) 481) ((-878 . -111) 460) ((-393 . -23) T) ((-171 . -634) 238) ((-1219 . -527) 30) ((-899 . -1130) T) ((-702 . -1130) T) ((-697 . -1130) T) ((-683 . -1130) T)) \ No newline at end of file
diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase
index 80e66244..090e1c73 100644
--- a/src/share/algebra/compress.daase
+++ b/src/share/algebra/compress.daase
@@ -1,5 +1,5 @@
-(30 . 3488491114)
+(30 . 3488813770)
(4502 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain|
ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join|
|ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&|
@@ -490,675 +490,675 @@
|XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram|
|ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage|
|IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping|
- |Record| |Union| |viewpoint| |groebner| |coshIfCan| |pdct|
- |linearElement| |collectUpper| |littleEndian| |linearPolynomials|
- |lazyPseudoQuotient| |SFunction| |moreAlgebraic?| |putGraph| |center|
- |insertRoot!| |exprHasAlgebraicWeight| |options| |mainMonomials|
- |quasiRegular?| |high| |complexNormalize| |divisorCascade|
- |character?| |dom| |cyclicParents| |infieldIntegrate| |rational?|
- |diff| |exactQuotient!| |coth2trigh| |quasiComponent| |option?|
- |dimensionsOf| |wholePart| |Ci| |OMgetBVar| |uniform01| |create|
- |subspace| |getGraph| |shiftLeft| |brillhartTrials| |finiteBasis|
- |enumerate| |imagi| |constantOperator| |monicModulo|
- |invertibleElseSplit?| |string| |inverseIntegralMatrixAtInfinity|
- |regime| |sort| |sin2csc| |viewPhiDefault| |f01brf| |unitVector|
- |triangSolve| |rowEchelonLocal| |internalSubPolSet?| |palgRDE0|
- |infix| |intcompBasis| |semiResultantEuclidean1| |complexNumericIfCan|
- |leftZero| |inconsistent?| |internalZeroSetSplit| |showTheIFTable|
- |normalized?| |semiIndiceSubResultantEuclidean| |vectorise|
- |reducedForm| |monicLeftDivide| |OMgetEndAtp| |c06fpf| |d02raf| |tab|
- |title| |ellipticCylindrical| |s19acf| |OMsupportsSymbol?|
- |splitDenominator| |top!| |permutationGroup| |inHallBasis?|
- |processTemplate| |constantKernel| |factorSquareFreeByRecursion|
- |createNormalPrimitivePoly| |aspFilename| |algDsolve| |cRationalPower|
- |partitions| |genericRightTraceForm| |random| |maxIndex| |isTimes|
- |lifting| |filterUntil| |mvar| |getProperties| |s17ajf| |OMgetBind|
- |rules| |removeCoshSq| |mapUnivariate| |modifyPoint| |rightUnits|
- |laguerre| |showIntensityFunctions| |select| |e| |partialDenominators|
- |BasicMethod| |startTableGcd!| |units| |ParCondList|
- |lastSubResultantEuclidean| |belong?| |symmetricSquare|
- |sortConstraints| |GospersMethod| |univariate?| |s18adf| |zeroDim?|
- |column| |prem| |symbol?| |cup| |contours| |c06ekf| |rightNorm|
- |subscript| |fortranLiteralLine| |linearAssociatedExp|
- |jordanAdmissible?| |exp1| |palgextint0| |simplify| ** |hash| |rquo|
- |logical?| |bezoutDiscriminant| |any?| |nary?| |dualSignature|
- |tableau| |expandPower| |useNagFunctions| |bits| |count| |e02akf|
- |eisensteinIrreducible?| |decimal| |seed| |iiGamma| |weakBiRank|
- |support| |HermiteIntegrate| |zeroMatrix| |balancedFactorisation|
- |totalGroebner| |B1solve| |read!| |makeResult| |compiledFunction|
- |code| |whileLoop| |solve1| |listConjugateBases| |expintfldpoly|
- |alternating| |subNode?| |readInt16!| |unknown| |over| |trivialIdeal?|
- |UnVectorise| |reset| |padecf| |prevPrime| |f07fdf| |weierstrass|
- |reflect| |f04mbf| |cubic| |updatD| |OMputAtp| |quasiRegular|
- |nthExpon| |solveLinearlyOverQ| |e04ucf| |yCoord| |genericLeftTrace|
- |algint| |setleft!| |numberOfComputedEntries| |imagK| |operators|
- |write| |rewriteSetWithReduction| |taylorIfCan| |OMclose|
- |mainCharacterization| |plotPolar| |OMgetEndError| |lexTriangular|
- |notelem| |getSyntaxFormsFromFile| |newTypeLists| |save|
- |removeConstantTerm| |f02bjf| |leadingExponent| |resultantReduit|
- |sizeMultiplication| |powerAssociative?| |drawCurves| |addMatch|
- |antisymmetricTensors| |moebius| |isOpen?| |LazardQuotient2|
- |readByte!| |univariatePolynomialsGcds| |numberOfFactors| |baseRDE|
- |f04maf| |dequeue| |leadingSupport| |lazyIrreducibleFactors|
- |shiftRoots| |froot| |rightTrim| |intersect| |diagonalProduct|
- |algSplitSimple| |e02dcf| |e01sef| |tubePoints| |lowerPolynomial|
- |wordInGenerators| |f04faf| |rotate| |leftTrim| |sparsityIF|
- |setCondition!| |abelianGroup| |fixedPoints| |minrank|
- |lookupFunction| |bitTruth| |bivariateSLPEBR|
- |stiffnessAndStabilityOfODEIF| |fortranCarriageReturn|
- |exteriorDifferential| |interval| |genericRightNorm| |f04asf|
- |fglmIfCan| |doubleRank| |permutationRepresentation| |pquo|
- |countRealRootsMultiple| |maxdeg| |c06fuf| |degree| |f02wef|
- |semiSubResultantGcdEuclidean1| |errorKind| |double?| |initials|
- |roughUnitIdeal?| |iicsch| |strongGenerators| |basisOfCenter|
- |leastPower| |getlo| |clipWithRanges| |OMconnInDevice| |makeop|
- |composites| |mapCoef| |complexLimit| |monicDivide| |asec| |rename!|
- |critBonD| |minPoints| |s18aff| |setPrologue!| |critT|
- |jvmUTF8ConstantTag| |simplifyPower| |omError| |acsc| |mathieu11|
- |argscript| |OMgetType| |linSolve| |asimpson| |OMgetEndBind|
- |packageCall| |iiexp| |myDegree| |numFunEvals| |d01asf| |sinh|
- |internalSubQuasiComponent?| |f02abf| |rank| |chainSubResultants|
- |externalList| |f2df| |pdf2ef| |generateIrredPoly|
- |selectSumOfSquaresRoutines| |cosh| |orbits| |pushucoef| |OMgetEndApp|
- |eigenvectors| |open?| |jvmStringConstantTag| |pole?|
- |pointColorPalette| |fortranInteger| |calcRanges| |cycleTail| |tanh|
- |laguerreL| |step| |s21baf| |gbasis| |palgint0| |polynomialZeros|
- |prindINFO| |pseudoRemainder| |OMopenString| |endSubProgram| |coth|
- |isAnd| |headAst| |denominator| |setEmpty!| |conditionP|
- |generalizedEigenvector| |mapBivariate| |cExp| |nothing| |redpps|
- |sech| |mainVariables| |cAtan| |voidMode| |ParCond| |imaginary|
- |finiteBound| |socf2socdf| |newReduc| |shellSort| |csch|
- |jacobiIdentity?| |divideIfCan!| |multiEuclidean| |hasHi|
- |cycleSplit!| |weights| |makeFR| |root?| |OMputError| |concat| |asinh|
- |e02dff| |stiffnessAndStabilityFactor| |karatsubaOnce| |sn| |build|
- |setLabelValue| |jvmNameAndTypeConstantTag| |callForm?| |d03eef|
- |doubleDisc| |powmod| |acosh| |fortranLogical| |fortranComplex|
- |lists| |inputOutputBinaryFile| |internalInfRittWu?|
- |jvmMethodrefConstantTag| |OMputString| |f01rcf| |rk4f| |atrapezoidal|
- |parametersOf| |atanh| |anticoord| |explicitlyEmpty?|
- |generalPosition| |OMencodingUnknown| |upperCase!| |integerBound|
- |tryFunctionalDecomposition| |curve?| |repeating?| |acoth|
- |cyclicGroup| |gensym| |leftUnit| |removeSuperfluousQuasiComponents|
- |jvmLongConstantTag| |OMputEndBVar| |droot| |cAcoth| |minimumExponent|
- |topFortranOutputStack| |asech| |halfExtendedSubResultantGcd1|
- |iitanh| |check| |in?| |purelyAlgebraic?| |jvmInterfaceConstantTag|
- |s17dcf| |environment| |printingInfo?| |unitNormal| |aCubic|
- |genericLeftTraceForm| |bothWays| |rightLcm| |imagj|
- |OMunhandledSymbol| |irreducibleRepresentation| |maxRowIndex|
- |inverse| |initiallyReduced?| |multiple| |nthFactor| |pseudoDivide|
- |basisOfRightNucleus| |functionIsFracPolynomial?| |cyclicEntries|
- |edf2ef| |jvmIntegerConstantTag| |size?| |makeUnit|
- |prepareSubResAlgo| |setAttributeButtonStep| |applyQuote| |acotIfCan|
- |compBound| |constantToUnaryFunction| |iiabs| |cycleRagits|
- |jvmFloatConstantTag| |atom?| |parents| |tryFunctionalDecomposition?|
- |sequence| |var2StepsDefault| |antiCommutator| |OMgetFloat|
- |zeroSetSplit| |isPlus| |delta| |setLegalFortranSourceExtensions|
- |perfectNthRoot| |OMputEndAttr| |iFTable| |subNodeOf?| |f02aef|
- |whatInfinity| |asinhIfCan| |normal01| |iicoth| |ran| |perfectSqrt|
- |e02bbf| |jvmFieldrefConstantTag| |s13aaf| |minus!| |dimensions|
- |bitLength| |randomR| |ruleset| |fmecg| |isNot| |d02cjf| |separant|
- |cCos| |qroot| |rubiksGroup| |roman| |parameters| |s18dcf|
- |tubeRadiusDefault| |exprHasLogarithmicWeights| |saturate|
- |palglimint0| |fortranDouble| |permutations| |critMTonD1| |s19adf|
- |mainCoefficients| |quote| |nthr| |push!| |simplifyExp|
- |binarySearchTree| |f01ref| |evenInfiniteProduct| |trueEqual| |cond|
- |parent| |precision| |rootSimp| |jvmDoubleConstantTag| |rombergo|
- |iiatan| |connect| |linearMatrix| |iicot| |acschIfCan| |suchThat|
- |kind| |bumptab1| |llprop| |sqfrFactor| |integer?| |computePowers|
- |extension| GF2FG |dioSolve| |s15aef| |nthRootIfCan| |op| |integrate|
- |readInt32!| |useSingleFactorBound| |shuffle| |findCycle|
- |extendedint| |getGoodPrime| |getMultiplicationMatrix| |OMencodingXML|
- |errorInfo| |pleskenSplit| |lambda| |currentCategoryFrame| |just|
- |second| |jvmClassConstantTag| |setAdaptive| |showTheRoutinesTable|
- |retractable?| |LagrangeInterpolation| |airyAi| |safeFloor| |light|
- |isOr| |third| |remove!| |basisOfRightNucloid| |clip|
- |antiCommutative?| |splitSquarefree| |sech2cosh| |void| |isMult|
- |rationalIfCan| |reduceBasisAtInfinity| |writeUInt8!| |cartesian|
- |e02def| |setchildren!| |nextsubResultant2| |noKaratsuba| |c05pbf|
- |groebnerIdeal| |OMputInteger| |resultantEuclideannaif| |firstDenom|
- SEGMENT |euclideanNormalForm| |cAcsch| |indicialEquations|
- |lieAlgebra?| |certainlySubVariety?| |readable?| |iicos| |mapExpon|
- |cycles| |reverseLex| |coerceListOfPairs| |rightFactorCandidate|
- |var2Steps| |singular?| |directSum| |union| |setPoly|
- |exportedOperators| |extendedEuclidean| |swap!| |logIfCan| |unary?|
- |moduloP| |lazyEvaluate| |rootOf| |recolor| |ratDsolve| |outputFixed|
- |lllp| |OMopenFile| |subHeight| |rootNormalize| |clearCache|
- |hitherPlane| |basisOfCommutingElements| |leftFactor|
- |generalInfiniteProduct| |nextPrime| |readUInt8!| |invertibleSet|
- |cap| |setelt| |cAcsc| |selectsecond| |modularFactor| |integral|
- |ddFact| |internalAugment| |algebraicOf| |mindegTerm| |lexico|
- |degreePartition| |setlast!| |setColumn!| |pr2dmp| |cyclotomic|
- |cscIfCan| |fillPascalTriangle| |overbar| |nativeModuleExtension|
- |expenseOfEvaluation| |copy| |palgLODE0| |f2st| |makeMulti|
- |constantRight| |rightMult| |firstUncouplingMatrix| |subCase?|
- |vspace| |any| |s13adf| |partition| |mapmult| |primaryDecomp|
- |ScanFloatIgnoreSpaces| |functorData| |realElementary|
- |realEigenvectors| |edf2fi| |curry| |genericLeftNorm| |resetBadValues|
- |fibonacci| |rspace| |addPoint2| |setMaxPoints| |lazyVariations|
- |nextItem| |OMgetError| |primPartElseUnitCanonical| |imagE|
- |solveLinearPolynomialEquation| |cSec| |horizConcat|
- |fortranCompilerName| |opeval| |declare| |reorder| |sturmSequence|
- |ratDenom| |style| |solveLinearPolynomialEquationByFractions|
- |stoseInvertible?reg| |rightAlternative?| |normalDenom| |tanh2trigh|
- |cotIfCan| |setleaves!| |point?| |getVariableOrder|
- |nextsousResultant2| |match?| |scaleRoots| |curryRight|
- |setProperties| |associator| |numberOfComposites| |HenselLift|
- |autoCoerce| |reciprocalPolynomial| |df2fi| |lintgcd| |readIfCan!|
- |close| |has?| |prefixRagits| |nodeOf?| |rightUnit| |polyPart|
- |intChoose| |lift| |removeRedundantFactorsInPols| |part?| |write!|
- |leadingIndex| |nullary?| |changeNameToObjf| |figureUnits|
- |infieldint| |kmax| F |prime| |scopes| |reduce|
- |tableForDiscreteLogarithm| |discriminantEuclidean| |pushup| |display|
- |charpol| |algebraic?| |completeHermite| |f02agf| |hconcat|
- |normalForm| |argumentList!| |terms| |lazyPseudoDivide|
- |monicCompleteDecompose| |supDimElseRittWu?| |baseRDEsys| |sinIfCan|
- |updatF| |symbolTableOf| |addMatchRestricted| |alphanumeric|
- |writeInt8!| |factorPolynomial| |groebnerFactorize| |endOfFile?|
- |fTable| |extractIfCan| |physicalLength| |wrregime|
- |sumOfKthPowerDivisors| |li| |variable?| |rightZero| |prinshINFO|
- |radicalEigenvectors| |appendPoint|
- |rewriteSetByReducingWithParticularGenerators| |groebner?|
- |divergence| |reverse| |standardBasisOfCyclicSubmodule| |monomials|
- |nextPartition| |basis| |depth| |distribute| |sts2stst| |binding|
- |refine| |increasePrecision| |s18acf| |arguments| |separateDegrees|
- |leftMinimalPolynomial| |e02bef| |insertMatch| |arg1| |parts|
- |pointColor| |infinityNorm| |fprindINFO| |input| |lexGroebner|
- |upperCase?| |updateStatus!| |sub| |factors| |OMsetEncoding|
- |selectPDERoutines| EQ |arg2| |systemSizeIF|
- |conditionsForIdempotents| |cAsec| |library| |trapezoidal| |f02akf|
- |collectQuasiMonic| |seriesToOutputForm| |s21bbf| |setEpilogue!|
- |FormatRoman| |inc| |f02aff| UTS2UP |reduceLODE| |iterationVar|
- |direction| |idealSimplify| |setFieldInfo| |elRow2!| |members|
- |tanSum| |conditions| |digit?| |typeForm| |clearTheSymbolTable|
- |aQuadratic| |tubePointsDefault| |inputBinaryFile|
- |oddInfiniteProduct| |composite| |weight| |generators| |rootRadius|
- |match| |basisOfLeftNucloid| |leftLcm| |computeInt| |imagk|
- |sumOfDivisors| |squareFreeLexTriangular| |cAsinh| |writable?|
- |xCoord| |limit| |yellow| |duplicates?| |isAtom| |fortranReal| |set|
- |host| |tanintegrate| |leftMult| |Lazard| |powers| |jordanAlgebra?|
- |jvmSuper| |byte| |copy!| |binaryFunction| |setelt!| |multisect|
- |vedf2vef| |toseInvertibleSet| |bindings| |s13acf| |factorials|
- |pmintegrate| |bombieriNorm| |leftCharacteristicPolynomial|
- |insertBottom!| |quotient| |e02bcf| |solve| |areEquivalent?|
- |selectOptimizationRoutines| |elaborateFile| |writeBytes!|
- |degreeSubResultantEuclidean| |palgLODE| |gethi| |primitiveElement|
- |deepCopy| |abs| |viewThetaDefault| |extractIndex| |getCurve|
- |hasSolution?| |d01amf| |triangular?| |exponential1| |putColorInfo|
- |ScanArabic| |copies| |integerIfCan| |bezoutMatrix| |iisec| |irDef|
- |call| |findBinding| |cn| |indices| |jvmInterface|
- |removeRoughlyRedundantFactorsInContents| |condition| |acoshIfCan|
- |besselK| |OMputBVar| |factorByRecursion| |clearTheFTable|
- |complexEigenvectors| |pow| |rectangularMatrix| |sinh2csch|
- |showTheSymbolTable| |dAndcExp| |psolve| |disjunction| |dmpToHdmp|
- |lazyPquo| |uniform| |f04qaf| |presub| |pade| |child?| |interpret|
- |radicalSimplify| |algebraicCoefficients?| |complexSolve|
- |unitCanonical| |representationType| |category| |musserTrials|
- |tValues| |roughSubIdeal?| |mathieu22| |pop!| |int|
- |createLowComplexityNormalBasis| |postfix| |critpOrder|
- |numberOfCycles| |associatorDependence| |bezoutResultant|
- |leftRankPolynomial| |domain| |sechIfCan| |expextendedint|
- |mainContent| |eq| |coerceP| |setfirst!| |summation|
- |incrementKthElement| |setTopPredicate| |package| |true|
- |roughEqualIdeals?| |acosIfCan| |univcase| |removeSuperfluousCases|
- |e01daf| |iter| |s01eaf| |OMlistSymbols| |patternVariable|
- |OMputEndAtp| |show| |principalAncestors| |interReduce|
- |deleteRoutine!| |mapMatrixIfCan| |slash| |sample| |setFormula!|
- |chebyshevT| |computeCycleEntry| |tan2trig| |odd?| |cross|
- |quotientByP| |car| |makeCrit| |solid?| |cLog| |insert| |trace|
- |rightFactorIfCan| |mpsode| |iteratedInitials| |bottom!| |e01baf|
- |selectPolynomials| |basisOfLeftNucleus| |laplacian| |surface|
- |exponent| |printStats!| |lllip| |randomLC| |completeHensel|
- |algebraicSort| |interactiveEnv| |iiasec| |readUInt32!| |enterInCache|
- |copyInto!| |checkPrecision| |OMputEndApp| |inrootof| |nonLinearPart|
- |generator| |bivariate?| |nil?| |minimalPolynomial| |pseudoQuotient|
- |ffactor| |taylorRep| |orbit| |mergeDifference| |outputArgs| |tRange|
- |unexpand| |exp| |associatedEquations| |leader|
- |useSingleFactorBound?| |search| |changeName| |root| |bumptab|
- |revert| |mkcomm| |nextIrreduciblePoly| |mainValue| |formula|
- |complexExpand| |generic?| |zeroOf| |drawStyle| |fortranTypeOf|
- |basisOfRightAnnihilator| |matrix| |singularAtInfinity?| |d01bbf|
- |mightHaveRoots| |debug| |rewriteIdealWithRemainder|
- |removeSquaresIfCan| |permutation| |makeFloatFunction| |central?|
- |c06fqf| |represents| |pToHdmp| |localIntegralBasis| |curveColor| D
- |deref| |createZechTable| |head| |lazyGintegrate| |s17akf|
- |findConstructor| |listexp| |toroidal| |compile| |mapGen|
- |OMconnectTCP| |primeFactor| |c05nbf| |thenBranch| |lhs|
- |OMgetInteger| |monicDecomposeIfCan| |content| |nrows| |distance|
- |structuralConstants| |graphState| |colorDef| |atoms| |twoFactor|
- |testDim| |rhs| |numer| |lambert| |OMlistCDs| |ncols| |quadraticNorm|
- |squareTop| |forLoop| |twist| |patternMatch| |cPower|
- |genericLeftMinimalPolynomial| |OMgetEndObject| |denom|
- |clipParametric| |ceiling| |toseSquareFreePart| |e04gcf|
- |createGenericMatrix| |equality| |stoseInternalLastSubResultant|
- |width| |OMUnknownSymbol?| |acothIfCan| |innerint| |e04mbf| |lprop|
- |init| |transpose| |log10| |matrixDimensions| |integers|
- |generalizedContinuumHypothesisAssumed?| |addmod| |pi| |cdr| |lfunc|
- |rk4| |upperBound| |torsionIfCan| |constant?| |nsqfree| |bitand|
- |ideal| |cAsin| |infinity| |definingInequation| |adaptive?|
- |makeRecord| |minPoly| |clikeUniv| |cCsch| |makeYoungTableau| |bitior|
- |numFunEvals3D| |radicalEigenvalues| |resultantEuclidean|
- |stoseInvertible?| |applyRules| |generate| |showFortranOutputStack|
- |initiallyReduce| |subtractIfCan| |e01bef| |linear|
- |symmetricDifference| |iisqrt3| |derivative| |var1Steps| |directory|
- |commutator| |isImplies| |invmultisect| |listBranches| |seriesSolve|
- |arrayStack| |accuracyIF| |lowerBound| |algebraicVariables|
- |sizeLess?| |totolex| |linGenPos| |polynomial| |stoseInvertibleSet|
- |highCommonTerms| |rightDiscriminant| |leftRemainder| |sinhIfCan|
- |partialQuotients| |hclf| |checkRur| |isQuotient| |thetaCoord|
- |currentEnv| |plenaryPower| |lquo| |makeVariable| |unitNormalize|
- |mapUnivariateIfCan| |predicates| |optional| |trigs2explogs| |se2rfi|
- |remainder| |iiatanh| |skewSFunction| |s17aff| |OMmakeConn| |points|
- |ksec| |univariatePolynomials| |plus!| |primitivePart!| |quadratic?|
- |randnum| |setnext!| |elem?| |degreeSubResultant| |f02aaf|
- |ListOfTerms| |sdf2lst| |createIrreduciblePoly| |unit?|
- |normalizedAssociate| |permanent| |irreducibleFactors| |epilogue|
- |solid| |initial| |innerEigenvectors| |divisors| |isExpt|
- |setProperty| |mapSolve| |find| |binary| |goto| |height| |cycleEntry|
- |removeCosSq| |monicRightFactorIfCan| |lSpaceBasis| |pushdown|
- |useEisensteinCriterion| |pmComplexintegrate| |fill!| |concat!|
- |euclideanGroebner| |setScreenResolution| |deepExpand|
- |compactFraction| |rangePascalTriangle| |extend| |cCot| |c06ecf|
- |edf2efi| |bytes| Y |fixedPoint| |enterPointData| |binomThmExpt|
- |primextintfrac| |sign| |leastAffineMultiple| |curryLeft|
- |OMcloseConn| |topPredicate| |fixPredicate| |s18def| |debug3D|
- |primintegrate| |padicFraction| |halfExtendedResultant2| |iiperm|
- |lifting1| |complementaryBasis| |readLine!| |dec| |explimitedint|
- |cosh2sech| |fortranLiteral| |prepareDecompose| |bipolar|
- |stripCommentsAndBlanks| |ramified?| |rk4a| |approxSqrt| |f02awf|
- |denominators| |startTable!| |localAbs| |minordet| |ldf2lst|
- |reverse!| |d01gaf| |symFunc| |squareFreePart| |enqueue!| |weighted|
- |next| FG2F |midpoints| |cyclePartition| |stopTableGcd!| |linearForm|
- |numericIfCan| |interpretString| |printInfo| |label| |cyclic?|
- |putProperties| |bat1| |rationalPoints| |sort!| |computeBasis|
- |printInfo!| |returnType!| |linearDependence| |complexRoots|
- |viewport2D| |basisOfMiddleNucleus| |someBasis| |adaptive| |kovacic|
- |newSubProgram| |scale| |measure2Result| |before?| |harmonic|
- |OMreceive| |isPower| |stronglyReduced?| |distdfact| |negative?|
- |external?| UP2UTS |makeprod| |s17dhf| |OMgetObject| |middle| |output|
- |perfectNthPower?| |integralLastSubResultant| |redPol| |subMatrix|
- |raisePolynomial| |numberOfMonomials| |linearlyDependent?| |numeric|
- |setLength!| |readUInt16!| |mainDefiningPolynomial| |clearDenominator|
- |resize| |separateFactors| |square?| |s18aef| |zCoord| |radical|
- |e02agf| |cCosh| |hMonic| |e01bgf| |reducedContinuedFraction| |nodes|
- |f07fef| |monic?| |stosePrepareSubResAlgo| |status|
- |intermediateResultsIF| |lookup| |empty?| |tail| |perspective|
- |exists?| |maximumExponent| |basisOfLeftAnnihilator| |jokerMode|
- |OMputSymbol| |constructor| |monomial?| |removeDuplicates!|
- |palglimint| |setRow!| |innerSolve1| |sqfree| |generalSqFr| |times!|
- |setrest!| |OMReadError?| |orthonormalBasis| |erf| |charthRoot|
- |option| |subset?| |explicitEntries?| |meshPar1Var| |polCase| |mirror|
- |showSummary| |An| |selectMultiDimensionalRoutines| |bfKeys| |d01aqf|
- |OMUnknownCD?| |outputSpacing| |hypergeometric0F1| |separate| |d01ajf|
- |bsolve| |irreducible?| |entry| |nthFlag| |wronskianMatrix| |say|
- |hyperelliptic| |lieAdmissible?| |rst| |e01sbf| |rdHack1| |untab|
- |cycleLength| |properties| |rotatex| |showAttributes| |cAcosh|
- |f04mcf| |expint| |dilog| |setMaxPoints3D| |OMgetEndAttr| |tanhIfCan|
- |nlde| |validExponential| |elaboration| |translate| |f01maf|
- |quasiAlgebraicSet| |paren| |viewWriteDefault| |flexibleArray| |sin|
- |name| |result| |zeroDimensional?| |rightExactQuotient| |duplicates|
- |rightRemainder| |null| |subSet| |shrinkable| |getStream| |addPoint|
- |leftScalarTimes!| BY |exptMod| |cos| |body| |meshPar2Var| |linear?|
- |stopTableInvSet!| |internalDecompose| |s20adf| |not| |wholeRadix|
- |internalLastSubResultant| |ignore?| |lagrange| |s20acf| |tan|
- |inspect| |integralBasis| |getCode| |inGroundField?| |and| |cycle|
- |factorGroebnerBasis| |rightDivide| |norm| |subResultantChain|
- |primitivePart| |cot| |integral?| |leftNorm| |extractSplittingLeaf|
- |product| |or| |viewDefaults| |consnewpol| |bernoulli| |nthCoef|
- |lepol| |d01akf| |sec| |jacobi| |e02zaf| |dual| |qqq| |xor| |split!|
- |mkIntegral| |supRittWu?| |coord| |quasiMonicPolynomials| |even?|
- |csc| |Aleph| |close!| |tubeRadius| |SturmHabichtCoefficients|
- |sumSquares| |case| |super| |qfactor| |besselY| |doubleFloatFormat|
- |bat| |empty| |asin| |problemPoints| |finite?| |e02ajf|
- |reducedDiscriminant| |Zero| |componentUpperBound| |top|
- |headRemainder| |digamma| |e02gaf| |mainForm| |stFunc1| |acos|
- |outputFloating| |LyndonWordsList1| |mappingAst| |e02daf| |infRittWu?|
- |One| NOT |continue| |removeRedundantFactors| |bumprow|
- |cyclotomicDecomposition| |OMputFloat| |numericalIntegration| |atan|
- |rangeIsFinite| |trailingCoefficient| |f04atf| |eyeDistance|
- |setStatus| OR |assert| |addBadValue| |diagonals| |doubleResultant|
- |generic| |headReduced?| |acot| |doublyTransitive?| |port|
- |setprevious!| |pattern| |stoseSquareFreePart| |outputForm|
- |limitedIntegrate| AND |d01alf| |bounds| |physicalLength!|
- |generalLambert| |nthExponent| |e02baf| |routines| |getOperator|
- |ScanRoman| |aLinear| |stop| |generalizedInverse| |alternatingGroup|
- |mkPrim| |evenlambert| |modularGcdPrimitive| |t| |SturmHabicht|
- |traceMatrix| |mathieu24| |normDeriv2| |assign| |listOfLists|
- |userOrdered?| |box| |pascalTriangle| |jacobian|
- |selectIntegrationRoutines| |s21bcf| |coleman| |isConnected?| |hasoln|
- |leftExactQuotient| |elt| |macroExpand| |genus| |rur|
- |numberOfChildren| |linearDependenceOverZ| |qualifier| |bfEntry|
- |rischNormalize| |e01sff| |message| |UP2ifCan| |gradient| |element?|
- |max| |anfactor| |characteristicPolynomial| |nor| |f07adf| |basicSet|
- |double| |setValue!| |simpsono| |autoReduced?| |symmetricRemainder|
- |OMParseError?| |normalise| |leastMonomial| |leadingBasisTerm|
- |iExquo| |ocf2ocdf| |selectOrPolynomials| |rootProduct| |flexible?|
- |constantIfCan| |collect| |getConstant| |RemainderList|
- |genericRightMinimalPolynomial| |legendre| |setsubMatrix!|
- |selectfirst| |blankSeparate| |removeRedundantFactorsInContents|
- |internalIntegrate| |goodnessOfFit| |leftRegularRepresentation|
- |d02kef| |factorial| |chineseRemainder| |leftAlternative?| |asecIfCan|
- |bipolarCylindrical| |squareFreePolynomial| |semiResultantEuclidean2|
- |expandTrigProducts| |overlabel| |inverseColeman| |denomRicDE|
- |minIndex| |substring?| |listRepresentation| |signature|
- |continuedFraction| |rename| |sinhcosh| * |normalDeriv|
- |createNormalElement| |bandedHessian| |cons| |csc2sin| |rotatez|
- |e02adf| |binomial| |numberOfImproperPartitions| |unravel| |LiePoly|
- |predicate| |reseed| |pushNewContour| |chvar| |mainKernel|
- |integralMatrix| |suffix?| |substitute| |expressIdealMember| |d02bbf|
- |OMgetString| |size| |lazyIntegrate| |capacity| |dflist| |rightTrace|
- |commaSeparate| |e02ahf| |Beta| |OMputBind| |midpoint| |declare!|
- |elColumn2!| |UpTriBddDenomInv| = |factorset| |purelyTranscendental?|
- |f04arf| |lex| |nextPrimitiveNormalPoly| |categories| |prefix?|
- |besselI| |viewSizeDefault| |transcendent?| |df2st| |matrixGcd|
- |const| |rk4qc| |probablyZeroDim?| |fortranLinkerArgs| |Is|
- |lastSubResultantElseSplit| |cAcos| |discreteLog|
- |removeIrreducibleRedundantFactors| |perfectSquare?|
- |replaceKthElement| < |distFact| |interpolate| |algebraicDecompose|
- |digits| |solveInField| |solveid| |plusInfinity| |critMonD1| |gderiv|
- |setDifference| |rroot| > |cAtanh| |f01rdf| |returnTypeOf|
- |fixedDivisor| |source| |selectNonFiniteRoutines| |minusInfinity|
- |zoom| |specialTrigs| |changeThreshhold| |secIfCan|
- |nextLatticePermutation| <= |backOldPos| |rationalPower| |leftGcd|
- |schema| |f01mcf| |transcendenceDegree| |OMsend| |lineColorDefault|
- |collectUnder| |startStats!| >= |mantissa|
- |rewriteIdealWithHeadRemainder| |stoseInvertible?sqfreg| |presuper|
- |semiDegreeSubResultantEuclidean| |polar| |getButtonValue| |toScale|
- |triangulate| |explogs2trigs| |principalIdeal| |quickSort|
- |rightScalarTimes!| |qinterval| |usingTable?| |infix?|
- |genericRightDiscriminant| |segment| |ode1| |selectFiniteRoutines|
- |lazyResidueClass| |char| |blue| |changeMeasure| |hostByteOrder|
- |cyclicEqual?| |irCtor| |mask| |subResultantsChain| |node|
- |indiceSubResultantEuclidean| |lowerCase| |tanIfCan| |LiePolyIfCan|
- |datalist| + |rootKerSimp| |block| |target| |oddintegers|
- |showClipRegion| |type| |ptFunc| |real?| |nextSublist| |extractClosed|
- |ptree| |vconcat| |stopTable!| - |tube| |var1StepsDefault| |flatten|
- |invertible?| |closedCurve| |failed?| |LyndonWordsList| |setImagSteps|
- |clipBoolean| |expand| / |lyndon| |resetVariableOrder| |extractTop!|
- |clearTheIFTable| |zeroDimPrime?| |removeZero| |insertTop!| |pureLex|
- |extendedResultant| |filterWhile| |leftFactorIfCan| |nextNormalPoly|
- |region| |approxNthRoot| |monomRDEsys| |OMserve| |primlimintfrac|
- |OMputApp| |replace| |point| |startPolynomial| |ldf2vmf| |prinb|
- |leftReducedSystem| |toseLastSubResultant| |difference| |s17acf|
- |recip| |tablePow| |pushdterm| |universe| |sylvesterSequence| |float|
- |property| |unrankImproperPartitions0| |npcoef| |e04ycf| |expPot|
- |rischDE| |rootSplit| |associatedSystem| |graphImage|
- |semiSubResultantGcdEuclidean2| |front| |characteristicSerie|
- |operation| |viewZoomDefault| |reducedSystem| |leaf?|
- |mainSquareFreePart| |series| |yCoordinates| |maxint| |btwFact|
- |lazyPseudoRemainder| |string?| |leaves| |SturmHabichtSequence|
- |arbitrary| |numberOfDivisors| |linearAssociatedOrder| |coerceS|
- |lazy?| |firstNumer| |exponents| |extract!| |squareFree| |iisinh|
- |hermiteH| |iicosh| |fintegrate| |antiAssociative?| |extractProperty|
- |totalLex| |rightRegularRepresentation| |positiveRemainder| |implies|
- |children| |iiasinh| |freeOf?| |OMgetVariable| |plus| |corrPoly|
- |table| |leftExtendedGcd| |parse| |clearTable!| |setRealSteps|
- |idealiserMatrix| |categoryFrame| |completeEval| |outerProduct|
- |minColIndex| |stoseIntegralLastSubResultant| |hermite| |latex| |new|
- |min| |f02bbf| |removeSinhSq| |gcdcofact| |positiveSolve|
- |expenseOfEvaluationIF| |bernoulliB| |divideIfCan| |ridHack1| |f02xef|
- |readLineIfCan!| |pile| |initializeGroupForWordProblem|
- |cyclotomicFactorization| |categoryMode| |rightRecip| |c02agf| |value|
- |integralAtInfinity?| |times| |setOfMinN| |removeZeroes| |mathieu12|
- |round| GE |d02gaf| |cosSinInfo| |iiacot| |setPredicates|
- |beauzamyBound| |dn| |printCode| |wholeRagits|
- |genericLeftDiscriminant| |mdeg| GT |unit| |sPol| |primitive?|
- |decomposeFunc| |axes| |printHeader| |sorted?| |rowEchelon|
- |setMinPoints| |list?| LE |edf2df| |hspace| |c02aff| |s19abf|
- |isobaric?| |showTheFTable| |sequences| |f07aef| |rule| |moebiusMu|
- |OMputEndBind| |expr| LT |makeSketch| |cTan| |frobenius| |crushedSet|
- |f01qef| |e04dgf| |subTriSet?| |extractPoint| |monom| |hessian|
- |s14abf| |ranges| |limitPlus| |coerceImages| |removeSinSq|
- |safetyMargin| |subscriptedVariables| |e01bhf| |float?|
- |halfExtendedResultant1| |OMgetSymbol| |nextSubsetGray| |parseString|
- |countable?| |eof?| |radix| |setScreenResolution3D| |critB|
- |completeSmith| |unparse| |OMputVariable| |biRank| |resultantnaif|
- |OMputEndError| |characteristic| |factorSquareFree| |common| |laplace|
- |inR?| |ricDsolve| |left| |stirling1| |janko2| |iiacsc| |variable|
- |iidprod| |commutativeEquality| |unvectorise| |sec2cos| |f02adf|
- |decrease| |bright| |elaborate| |changeBase| |modulus| |right|
- |dfRange| |index| |red| |iterators| |one?| |f01bsf| |byteBuffer|
- |irreducibleFactor| |conjunction| |simpleBounds?| |medialSet| |mesh|
- |outlineRender| |algintegrate| |comp| |nthRoot| |setVariableOrder|
- |linearPart| |maxColIndex| |divide| |eval| |elliptic?| |c06frf|
- |OMputAttr| |getMatch| |solveLinearPolynomialEquationByRecursion|
- |totalfract| |exactQuotient| |tubePlot| |partialFraction|
- |buildSyntax| |clearFortranOutputStack| |cyclicCopy| |cfirst| |pair|
- |removeRoughlyRedundantFactorsInPol| |superscript| |rootsOf|
- |attributeData| |phiCoord| |isAbsolutelyIrreducible?|
- |unitsColorDefault| |lazyPremWithDefault| |evaluateInverse| |color|
- |ratpart| |e04naf| |binaryTree| |delay| |iroot| |power|
- |defineProperty| |error| |optAttributes| |BumInSepFFE| |palgRDE|
- |fractionFreeGauss!| |id| |mathieu23| |exprToGenUPS| |factorList|
- |henselFact| |bivariatePolynomials| |currentSubProgram|
- |extensionDegree| |iisin| |firstSubsetGray| |c06gbf| |lazyPrem|
- |determinant| |lo| |iibinom| |LyndonCoordinates| |upDateBranches|
- |rightExtendedGcd| |OMencodingBinary| |normalizeIfCan| |eulerPhi|
- |scalarTypeOf| |shufflein| |range| |PollardSmallFactor| |complement|
- |diag| |factorSFBRlcUnit| |less?| |symmetricTensors| |mapDown!|
- |domainTemplate| |iprint| |c06ebf| |cyclicSubmodule| |symbolTable|
- |every?| |palgint| |conjug| |optimize| |largest| |convergents| |sum|
- |partialNumerators| |innerSolve| |makeSeries| |tanQ|
- |createNormalPoly| |d03faf| |infinite?| |trace2PowMod|
- |subResultantGcdEuclidean| |d02gbf| |sumOfSquares| |nilFactor|
- |symbol| |outputAsScript| |linearAssociatedLog| |exprToXXP|
- |pushFortranOutputStack| |dictionary| |expandLog| |ODESolve|
- |subResultantGcd| |cycleElt| |createPrimitiveElement| |OMbindTCP|
- |expression| |tanNa| |cTanh| |nullity| |popFortranOutputStack| |lp|
- |function| |rightRank| |internal?| |singularitiesOf| |supersub|
- |leftOne| |localUnquote| |writeLine!| |indicialEquation| |integer|
- |vark| |rightGcd| |outputAsFortran| |newLine| |FormatArabic|
- |eigenvalues| |youngGroup| |f02axf| |iiacos| |screenResolution3D|
- |triangularSystems| |ref| |compound?| |nonSingularModel|
- |companionBlocks| |df2ef| |symbolIfCan| |listYoungTableaus| |radPoly|
- |factor1| |f02fjf| |unknownEndian| |oddlambert| |s17def| |aQuartic|
- |low| |member?| |conical| |normalizedDivide| |f04jgf| |setTex!|
- |normal?| |f04adf| |exprex| |unmakeSUP| |schwerpunkt| |identity|
- |reduction| |rem| |rootOfIrreduciblePoly| |powern| |coHeight|
- |leftRecip| |optional?| |knownInfBasis| |numberOfOperations|
- |makeGraphImage| |subresultantVector| |quo| |closeComponent| |f04axf|
- |f01qcf| |fixedPointExquo| |createMultiplicationMatrix| |maxrow|
- |open| |balancedBinaryTree| |semiLastSubResultantEuclidean| |nand|
- |att2Result| |s14baf| |univariatePolynomial| |denomLODE| |fractRadix|
- |getMultiplicationTable| |LyndonBasis| |inRadical?| |printTypes|
- |s17agf| |redmat| |div| |plot| |leftTrace| |prod| |prime?|
- |localReal?| |subPolSet?| |drawComplex| |pToDmp| |OMread|
- |shallowCopy| |exquo| |quoByVar| |addPointLast| |multiEuclideanTree|
- |controlPanel| |credPol| |toseInvertible?| |iomode| |c06eaf|
- |polyRicDE| |hdmpToP| |elliptic| ~= |delete| |infLex?|
- |removeDuplicates| |rootBound| |log2| |zag| |operations|
- |printStatement| |numberOfVariables| |subQuasiComponent?| |stack|
- |csch2sinh| |nonQsign| |#| |fullPartialFraction| |identification|
- |numberOfComponents| |integralBasisAtInfinity| |setOrder| |lcm|
- |constDsolve| |numerator| |createMultiplicationTable| |truncate| ~
- |OMputObject| |tower| |wordInStrongGenerators| |geometric|
- |LowTriBddDenomInv| |rationalPoint?| |linears| |SturmHabichtMultiple|
- |outputAsTex| |reindex| |arity| |prologue| |adaptive3D?| |quartic|
- |divideExponents| |mappingMode| |rarrow| |vector| |append|
- |setPosition| |commonDenominator| |oblateSpheroidal|
- |branchPointAtInfinity?| |reify| |s19aaf| |e02ddf| |deepestInitial|
- |safeCeiling| |changeVar| |differentiate| |gcd|
- |functionIsContinuousAtEndPoints| |padicallyExpand| |cSin|
- |bubbleSort!| |/\\| |scanOneDimSubspaces| |leadingTerm|
- |diagonalMatrix| |dim| |countRealRoots| |pointPlot| |atanhIfCan|
- |false| |argument| |pointColorDefault| |maxPoints3D| |squareMatrix|
- |\\/| |explicitlyFinite?| |queue| |normFactors| |crest| |optpair|
- |cos2sec| |rewriteIdealWithQuasiMonicGenerators| |realZeros| |cAsech|
- |c06gsf| |tan2cot| |increase| |tensorProduct| |swapRows!|
- |complexNumeric| |iidsum| RF2UTS |associative?| |getOrder| |OMgetAtp|
- |euler| |iiacoth| |principal?| |mat| |setIntersection| |repSq|
- |argumentListOf| |s17dlf| |leadingCoefficientRicDE| |e04jaf| |csubst|
- |mainVariable?| |kernels| |complexForm| |relerror| LODO2FUN
- |reducedQPowers| |d02ejf| |fullDisplay| |exponential| |eq?|
- |absolutelyIrreducible?| |cosIfCan| |basisOfNucleus|
- |generalizedContinuumHypothesisAssumed| |operator| |badValues|
- |superHeight| |coerce| |integralRepresents| |power!| |rightPower|
- |setref| |level| |elements| |graeffe| |addiag|
- |factorsOfCyclicGroupSize| |exprToUPS| |multiplyExponents| |f01qdf|
- |construct| |roughBase?| |splitNodeOf!| |getBadValues| |equiv|
- |numberOfFractionalTerms| |diophantineSystem| |axesColorDefault|
- |select!| |cCsc| |univariate| |commutative?| |taylorQuoByVar| |swap|
- |legendreP| |comparison| |monomialIntPoly| |getMeasure|
- |primintfldpoly| |varselect| |createRandomElement| |dihedral|
- |leftPower| |getZechTable| |transcendentalDecompose|
- |rightMinimalPolynomial| |OMgetAttr| |leftDiscriminant|
- |fortranDoubleComplex| |exQuo| |rationalFunction| |roughBasicSet|
- |noLinearFactor?| |choosemon| |useEisensteinCriterion?| |rightOne|
- |coefChoose| |factor| |outputBinaryFile| |pdf2df| |coordinates|
- |rCoord| |leftTraceMatrix| |kroneckerDelta| |numericalOptimization|
- |hexDigit| |increment| |rightRankPolynomial| |sqrt| |merge|
- |readInt8!| |selectAndPolynomials| |polyred| |lfextendedint|
- |leadingIdeal| |extendedSubResultantGcd| |ef2edf|
- |oneDimensionalArray| |eigenvector| |loadNativeModule| |real|
- |retract| |solveRetract| |combineFeatureCompatibility| |s17ahf|
- |elseBranch| |trim| |mr| |bit?| |iilog| |overlap| |OMconnOutDevice|
- |imag| |nextNormalPrimitivePoly| |shiftRight| |df2mf|
- |polarCoordinates| |mapdiv| |stronglyReduce| |shape| |Gamma|
- |multiset| |cot2trig| |directProduct| |s17adf| |hue| |setStatus!|
- |splitLinear| |hex| |overset?| |iipow| |vertConcat| |poisson|
- |functionIsOscillatory| |gcdPrimitive| |heap| |KrullNumber| |reopen!|
- |rightTraceMatrix| |radicalEigenvector| |intPatternMatch| |brace|
- |makeTerm| |log| |lfextlimint| |complexIntegrate| |iCompose|
- |parabolicCylindrical| |dmpToP| |component| |s15adf| |destruct|
- |Vectorise| |repeating| |merge!| |alphabetic| |monomialIntegrate|
- |initTable!| |ip4Address| |sin?| |stoseInvertibleSetsqfreg| |ravel|
- |contains?| |mix| |discriminant| |inf| |matrixConcat3D| |tanAn| |expt|
- |deleteProperty!| |nullary| |reshape| |trapezoidalo| |dequeue!|
- |quasiMonic?| |viewPosDefault| |compdegd| |spherical| |drawToScale|
- |heapSort| |more?| |fractRagits| |lflimitedint| |selectODEIVPRoutines|
- |modTree| |goodPoint| |resultant| |setClipValue| |colorFunction|
- |radicalSolve| |monomial| |returns| |conjugates| |univariateSolve|
- |homogeneous?| |digit| |insertionSort!| |alphabetic?|
- |semiDiscriminantEuclidean| |headReduce| |multivariate| |fracPart|
- |iifact| |imagI| |bag| |complex?| |bitCoef| |curve| |upperCase|
- |variables| |d01fcf| |entry?| |reduced?| |child| |uncouplingMatrices|
- |leviCivitaSymbol| |symmetricProduct| |identityMatrix| |showRegion|
- |update| |makeViewport3D| |wreath| |viewDeltaXDefault| |graphCurves|
- |clipSurface| |rootPower| |quadraticForm| |irForm| |expintegrate|
- |outputGeneral| |dimensionOfIrreducibleRepresentation|
- |restorePrecision| |Hausdorff| |palgextint|
- |noncommutativeJordanAlgebra?| |imports| |ratPoly| |singRicDE|
- |prolateSpheroidal| |regularRepresentation| |minPol| |besselJ|
- |d02bhf| |mapUp!| |cot2tan| |qPot| |leftQuotient| |acscIfCan|
- |testModulus| |magnitude| |bringDown| |logGamma| |s14aaf|
- |integralCoordinates| |sizePascalTriangle| |sincos| |taylor|
- |parabolic| |s17aef| |floor| |evaluate| |d03edf| |parametric?|
- |gcdPolynomial| |mainVariable| |reduceByQuasiMonic| |position|
- |laurent| |palginfieldint| |mkAnswer| |infiniteProduct| |lfinfieldint|
- |jvmSynchronized| |constantOpIfCan| |multiplyCoefficients|
- |lfintegrate| |messagePrint| |removeRoughlyRedundantFactorsInPols|
- |puiseux| |sh| |satisfy?| |maxPoints| |cothIfCan|
- |generalizedEigenvectors| |linearlyDependentOverZ?| |Si| |typeList|
- |cyclic| |writeByte!| |rootDirectory| |index?| |polygon?|
- |binaryTournament| |jvmStrict| |pack!| |node?| |invertIfCan|
- |PDESolve| |factorFraction| |inv| |groebSolve| |factorAndSplit| |move|
- |curveColorPalette| |jvmStatic| |primeFrobenius| |ground?|
- |pushuconst| |birth| |cCoth| |leftDivide| |back|
- |brillhartIrreducible?| |elementary| |nextColeman| |setErrorBound|
- |zeroVector| |ground| |listOfMonoms| |keys| |submod| |tab1| |remove|
- |purelyAlgebraicLeadingMonomial?| |zerosOf| |realRoots| |extendIfCan|
- |exprHasWeightCosWXorSinWX| |flagFactor| |gcdprim| |OMputEndObject|
- |OMgetApp| |leadingMonomial| |zeroSetSplitIntoTriangularSystems|
- |frst| |showAll?| |putProperty| |jvmPublic| |inverseLaplace|
- |rightQuotient| |rowEch| |components| |htrigs| |leadingCoefficient|
- |last| |createLowComplexityTable| |elRow1!| |OMreadStr| |order|
- |jvmProtected| |singleFactorBound| |isEquiv| |badNum| |rational|
- |laurentIfCan| |primitiveMonomials| |assoc| |stoseInvertibleSetreg|
- |derivationCoordinates| |d01gbf| |normalizeAtInfinity| |idealiser|
- |d01anf| |lastSubResultant| |chiSquare| |dot| |reductum| |e01bff|
- |connectTo| |minRowIndex| |Ei| |viewDeltaYDefault| |quotedOperators|
- |karatsuba| |cSech| |hasPredicate?| |factorSquareFreePolynomial|
- |entries| |viewport3D| |iisqrt2| |patternMatchTimes|
- |drawComplexVectorField| |branchPoint?| |key?| |whitePoint|
- |possiblyNewVariety?| |delete!| |primPartElseUnitCanonical!| |po|
- |iitan| |prinpolINFO| |getDatabase| |readBytes!| |meshFun2Var|
- |pointSizeDefault| |charClass| |relativeApprox| |virtualDegree|
- |jvmPrivate| |euclideanSize| |ScanFloatIgnoreSpacesIfCan| |pointData|
- |zero| |eulerE| |symmetricGroup| |youngDiagram| |computeCycleLength|
- |airyBi| |mainExpression| |polyRDE| |setButtonValue| |OMencodingSGML|
- |stopMusserTrials| |branchIfCan| |bigEndian| |invmod| |mulmod|
- |encodingDirectory| |LazardQuotient| |diagonal?| |mainPrimitivePart|
- |And| |semicolonSeparate| |showAllElements| |cschIfCan| |rootPoly|
- |maxrank| |getPickedPoints| |jvmNative| |getOperands| |primes| |zero?|
- |Or| |basisOfCentroid| |signatureAst| |tree| |radicalOfLeftTraceForm|
- |squareFreeFactors| |makeSUP| |relationsIdeal| |jvmFinal|
- |exponentialOrder| |associates?| |Not| |simplifyLog| |c05adf|
- |intensity| |stirling2| |numerators| |rischDEsys| |laurentRep| |test|
- |listLoops| |position!| |OMwrite| |bandedJacobian| |withPredicates|
- |closed| |symmetric?| |null?| |morphism| |module| |primlimitedint|
- |lighting| |alternative?| |startTableInvSet!| |doubleComplex?| |irVar|
- |dihedralGroup| |hostPlatform| |xn| |jvmAbstract| |showScalarValues|
- |resultantReduitEuclidean| |stFunc2| |divisor| |minimize|
- |screenResolution| |sayLength| |rotatey| |modifyPointData|
- |identitySquareMatrix| |e01saf| |complete| |length|
- |particularSolution| |leftUnits| |polygon| |incrementBy| |coefficient|
- |polygamma| |Frobenius| |torsion?| |genericRightTrace| |totalDegree|
- |scripts| |halfExtendedSubResultantGcd2| |escape| |gramschmidt| |pol|
- |numberOfPrimitivePoly| |shade| |sylvesterMatrix| |nil| |makeEq|
- |multMonom| |characteristicSet| |showArrayValues| |realSolve|
- |realEigenvalues| |prefix| |factorOfDegree| |dark|
- |createPrimitiveNormalPoly| |isList| |augment| |compose|
- |resetAttributeButtons| |coordinate| |inverseIntegralMatrix|
- |nullSpace| |mainMonomial| |redPo| |solveLinear| |paraboloidal|
- |iisech| |sup| |viewWriteAvailable| |transform| |unaryFunction|
- |constant| |monicRightDivide| |unprotectedRemoveRedundantFactors|
- |approximate| |shanksDiscLogAlgorithm| |deepestTail|
- |completeEchelonBasis| |deriv| |equation| |minset| |quoted?| |coerceL|
- |ReduceOrder| |complex| |create3Space| |s17dgf| |constantLeft|
- |indicialEquationAtInfinity| |leftRank| |mesh?| |coth2tanh| |logpart|
- |lowerCase!| |normalElement| |possiblyInfinite?| |normalize|
- |traverse| |indiceSubResultant| |makeViewport2D| |is?|
- |rightCharacteristicPolynomial| |OMgetEndBVar| |tracePowMod|
- |outputMeasure| |multiple?| |conjugate| |modularGcd| |trunc|
- |alphanumeric?| |makingStats?| |fortran| |internalIntegrate0|
- |outputList| |symmetricPower| |scan| |setright!| |rotate!| |critM|
- |c06gqf| |trigs| |failed| |definingPolynomial| |scripted?|
- |numberOfIrreduciblePoly| |asinIfCan| |decompose| |complexElementary|
- |totalDifferential| |lyndonIfCan| |OMsupportsCD?| |ipow|
- |nextPrimitivePoly| |octon| |romberg| |e04fdf| |pair?| |powerSum|
- |createThreeSpace| |semiResultantEuclideannaif| |eigenMatrix|
- |generalTwoFactor| |approximants| |iiacosh| |minGbasis| |push|
- |factorsOfDegree| |boundOfCauchy| |getIdentifier| |aromberg|
- |rowEchLocal| |iflist2Result| |diagonal| |varList| |cAcot| |getRef|
- |integralMatrixAtInfinity| |mergeFactors| |setClosed| |quatern|
- |cSinh| |getExplanations| |recur| |pastel| |squareFreePrim| |makeSin|
- |smith| |changeWeightLevel| |c06gcf| |rdregime| |cylindrical|
- |expIfCan| |subst| |obj| |definingEquations| |scalarMatrix|
- |variationOfParameters| |setUnion| |semiResultantReduitEuclidean|
- |iiasech| |groebgen| |currentScope| |complexZeros| |cache|
- |graphStates| |decreasePrecision| |iiasin| |ode2| |mapExponents|
- |fortranCharacter| |allRootsOf| |e02bdf| |nthFractionalTerm|
- |palgintegrate| |retractIfCan| |zeroDimPrimary?| |slex|
- |ramifiedAtInfinity?| |positive?| |minimumDegree| |setMinPoints3D|
- |radicalRoots| |coefficients| |coercePreimagesImages| |quadratic|
- |objects| |stFuncN| |integralDerivationMatrix| F2FG |hcrf| |space|
- |dominantTerm| |qelt| |atanIfCan| |resetNew| |base|
- |unrankImproperPartitions1| |script| |numberOfNormalPoly| |contract|
- |hdmpToDmp| |iicsc| |hasTopPredicate?| |qsetelt| |pomopo!| |dimension|
- |closed?| |d01apf| |monomRDE| |hexDigit?| |chiSquare1| |closedCurve?|
- |iiacsch| |xRange| |insert!| |key| |noValueMode| |fractionPart|
- |recoverAfterFail| |loopPoints| |checkForZero| |apply| |yRange|
- |wordsForStrongGenerators| |extractBottom!| |neglist| |shift| |ode|
- |tex| |createPrimitivePoly| |fi2df| |filename| |print| |contractSolve|
- |linkToFortran| |zRange| |first| |bracket| |kernel| |green| |meatAxe|
- |RittWuCompare| |pointLists| |getProperty| |resolve| |systemCommand|
- |f02ajf| |cardinality| |map!| |rest| |simpson| |rationalApproximation|
- |asechIfCan| |stoseLastSubResultant| |list| |e02aef| |map|
- |shallowExpand| |graphs| |qsetelt!| |draw| |s21bdf| |measure|
- |dmp2rfi| |primextendedint| |jvmVolatile| |extendedIntegrate|
- |minPoints3D| |numberOfHues| |makeCos| |chebyshevU| |ord| |preprocess|
- |differentialVariables| |jvmTransient| |moduleSum| |normal|
- |constantCoefficientRicDE| |clipPointsDefault| |adjoint|
- |zeroSquareMatrix| |setAdaptive3D| |tanh2coth| |antisymmetric?|
- |gcdcofactprim| |limitedint| |complexEigenvalues| |row| |incr|
- |setvalue!| |multinomial| |split| |Nul| |repeatUntilLoop| |typeLists|
- |normInvertible?| |hi| |lowerCase?| |swapColumns!| |makeObject|
- |mindeg| |karatsubaDivide| |convert| |lyndon?| |OMreadFile| |sncndn|
- |sturmVariationsOf| |acsch| |previous| |genericPosition| |Lazard2|
- |subresultantSequence| |coef| |splitConstant| |isOp| |imagJ| |number?|
- |signAround| |comment| |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
+ |Record| |Union| |maximumExponent| |column|
+ |unrankImproperPartitions0| |algebraic?| |cot2trig| |select| |high|
+ |bothWays| |permutation| |indicialEquation| |prem| |npcoef|
+ |completeHermite| |basisOfLeftAnnihilator| |s17adf| |complexNormalize|
+ |nrows| |rightLcm| |options| |vark| |makeFloatFunction|
+ |getPickedPoints| |dom| |jokerMode| |symbol?| |e04ycf| |f02agf| |hue|
+ |qelt| |divisorCascade| |directory| |ncols| |imagj| |vector|
+ |central?| |rightGcd| |jvmNative| |cup| |qsetelt| |expPot| |hconcat|
+ |OMputSymbol| |setStatus!| |character?| |OMunhandledSymbol|
+ |differentiate| |newLine| |c06fqf| |getOperands| |splitLinear|
+ |contours| |monomial?| |normalForm| |rischDE| |xRange| |expr|
+ |cyclicParents| |irreducibleRepresentation| |string| |represents|
+ |FormatArabic| |primes| |rootSplit| |c06ekf| |hex| |argumentList!|
+ |removeDuplicates!| |yRange| |differentialVariables|
+ |infieldIntegrate| |maxRowIndex| |eigenvalues| |pToHdmp| |zero?|
+ |associatedSystem| |rightNorm| |palglimint| |makeRecord| |terms|
+ |overset?| |zRange| |jvmTransient| |rational?| |inverse| |youngGroup|
+ |localIntegralBasis| |basisOfCentroid| |setRow!| |iipow| |subscript|
+ |graphImage| |lazyPseudoDivide| |map!| |title| |moduleSum| |diff|
+ |initiallyReduced?| |curveColor| |f02axf| |signatureAst| |qsetelt!|
+ |fortranLiteralLine| |innerSolve1| |semiSubResultantGcdEuclidean2|
+ |monicCompleteDecompose| |vertConcat| |variable| |exactQuotient!|
+ |constantCoefficientRicDE| |nthFactor| |iiacos| |deref|
+ |radicalOfLeftTraceForm| |linearAssociatedExp| |plus| |comp| |sqfree|
+ |poisson| |front| |supDimElseRittWu?| |iterators| |substring?|
+ |clipPointsDefault| |pseudoDivide| |createZechTable|
+ |screenResolution3D| |squareFreeFactors| |e| |jordanAdmissible?|
+ |baseRDEsys| |characteristicSerie| |functionIsOscillatory|
+ |generalSqFr| |adjoint| |basisOfRightNucleus| |head|
+ |triangularSystems| |makeSUP| |datalist| |normal| |exp1| |times!|
+ |sinIfCan| |viewZoomDefault| |gcdPrimitive| |suffix?|
+ |zeroSquareMatrix| |functionIsFracPolynomial?| |ref| |lazyGintegrate|
+ |relationsIdeal| |palgextint0| |times| |updatF| |reducedSystem| |heap|
+ |setrest!| |setAdaptive3D| |s17akf| |cyclicEntries| |compound?| **
+ |jvmFinal| |hash| |OMReadError?| |simplify| |KrullNumber| |leaf?|
+ |symbolTableOf| |prefix?| |acsch| |tanh2coth| |edf2ef|
+ |findConstructor| |nonSingularModel| |exponentialOrder| |count| |rquo|
+ |addMatchRestricted| |mainSquareFreePart| |reopen!| |orthonormalBasis|
+ |antisymmetric?| |jvmIntegerConstantTag| |listexp| |companionBlocks|
+ |associates?| |logical?| |alphanumeric| |yCoordinates|
+ |rightTraceMatrix| |charthRoot| |parents| |gcdcofactprim| |size?|
+ |toroidal| |df2ef| |simplifyLog| |bezoutDiscriminant| |monom| |maxint|
+ |writeInt8!| |radicalEigenvector| |subset?| |limitedint| |coth2trigh|
+ |makeUnit| |symbolIfCan| |mapGen| |c05adf| |any?| |btwFact|
+ |factorPolynomial| |intPatternMatch| |explicitEntries?|
+ |complexEigenvalues| |quasiComponent| |prepareSubResAlgo|
+ |OMconnectTCP| |listYoungTableaus| |intensity| |nary?|
+ |groebnerFactorize| |lazyPseudoRemainder| |makeTerm| |meshPar1Var|
+ |row| |setAttributeButtonStep| |rank| |radPoly| |primeFactor|
+ |stirling2| |dualSignature| |common| |subspace| |lfextlimint|
+ |polCase| |string?| |endOfFile?| |infix?| |wholePart| |setvalue!|
+ |acotIfCan| |factor1| |c05nbf| |numerators| |mask| |getGraph| |fTable|
+ |tableau| |complexIntegrate| |SturmHabichtSequence| |Ci| |mirror|
+ |multinomial| |compBound| |thenBranch| |f02fjf| |leftZero|
+ |rischDEsys| |arbitrary| |expandPower| |iCompose| |extractIfCan| |An|
+ |OMgetBVar| |split| |constantToUnaryFunction| |unknownEndian|
+ |OMgetInteger| |inconsistent?| |laurentRep| |useNagFunctions|
+ |physicalLength| |numberOfDivisors| |parabolicCylindrical|
+ |selectMultiDimensionalRoutines| |Nul| |iiabs| |monicDecomposeIfCan|
+ |oddlambert| |listLoops| |leaves| |bits| |linearAssociatedOrder|
+ |wrregime| |bfKeys| |dmpToP| |repeatUntilLoop| |cycleRagits| |s17def|
+ |content| |position!| |e02akf| |sumOfKthPowerDivisors| |coerceS|
+ |component| |d01aqf| |typeLists| |tree| |jvmFloatConstantTag|
+ |distance| |aQuartic| |OMwrite| |variable?| |eisensteinIrreducible?|
+ |lazy?| |min| |s15adf| |OMUnknownCD?| |normInvertible?| |lists|
+ |atom?| |structuralConstants| |low| |bandedJacobian| |comment|
+ |decimal| |rightZero| |firstNumer| |outputSpacing| |Vectorise|
+ |lowerCase?| |open| |tryFunctionalDecomposition?| |member?|
+ |graphState| |withPredicates| |result| |seed| |exponents| |prinshINFO|
+ |hypergeometric0F1| |repeating| |swapColumns!| |sequence| |conical|
+ |colorDef| |closed| |iiGamma| |extract!| |radicalEigenvectors|
+ |merge!| |separate| |mindeg| |var2StepsDefault| |normalizedDivide|
+ |atoms| |symmetric?| |weakBiRank| |appendPoint| |squareFree|
+ |alphabetic| |d01ajf| |karatsubaDivide| |generator| |antiCommutator|
+ |f04jgf| |twoFactor| |null?| |internalZeroSetSplit| |support| |iisinh|
+ |rewriteSetByReducingWithParticularGenerators| |monomialIntegrate|
+ |bsolve| |lyndon?| |morphism| |OMgetFloat| |testDim| |setTex!|
+ |showTheIFTable| |step| |HermiteIntegrate| |groebner?| |hermiteH|
+ |irreducible?| |initTable!| |OMreadFile| |zeroSetSplit| |normal?|
+ |lambert| |module| |zeroMatrix| |iicosh| |divergence| |nthFlag|
+ |ip4Address| |sncndn| |isPlus| |f04adf| |OMlistCDs| |primlimitedint|
+ |balancedFactorisation| |standardBasisOfCyclicSubmodule| |fintegrate|
+ |sin?| |wronskianMatrix| |sturmVariationsOf|
+ |setLegalFortranSourceExtensions| |quadraticNorm| |exprex| |lighting|
+ |totalGroebner| |antiAssociative?| |monomials| |hyperelliptic|
+ |stoseInvertibleSetsqfreg| |genericPosition| |perfectNthRoot|
+ |squareTop| |unmakeSUP| |concat| |alternative?| |B1solve|
+ |nextPartition| |extractProperty| |lieAdmissible?| |contains?|
+ |Lazard2| |OMputEndAttr| |schwerpunkt| |forLoop| |startTableInvSet!|
+ |read!| |basis| |totalLex| |rst| |mix| |subresultantSequence|
+ |iFTable| |identity| |twist| |doubleComplex?| |makeResult|
+ |distribute| |rightRegularRepresentation| |e01sbf| |discriminant|
+ |splitConstant| |search| |subNodeOf?| |reduction| |patternMatch|
+ |irVar| |compiledFunction| |positiveRemainder| |sts2stst| |inf|
+ |rdHack1| |isOp| |f02aef| |rootOfIrreduciblePoly| |cPower| |erf|
+ |dihedralGroup| |whileLoop| |binding| |implies| |matrixConcat3D|
+ |untab| |imagJ| |whatInfinity| |genericLeftMinimalPolynomial| |powern|
+ |hostPlatform| |typeForm| |refine| |children| |tanAn| |cycleLength|
+ |number?| |asinhIfCan| |OMgetEndObject| |coHeight| |xn| |iiasinh|
+ |increasePrecision| |rotatex| |expt| |signAround| |normal01| |stack|
+ |clipParametric| |leftRecip| |jvmAbstract| |dilog| |freeOf?| |s18acf|
+ |deleteProperty!| |cAcosh| |iicoth| |inc| |optional?| |ceiling| |keys|
+ |sin| |showScalarValues| |tower| |separateDegrees| |OMgetVariable|
+ |nullary| |f04mcf| |knownInfBasis| |toseSquareFreePart| |cos|
+ |resultantReduitEuclidean| |leftMinimalPolynomial| |corrPoly|
+ |trapezoidalo| |expint| |mainVariables| |numberOfOperations| |e04gcf|
+ |tan| |stFunc2| |e02bef| |leftExtendedGcd| |setMaxPoints3D| |dequeue!|
+ |cAtan| |makeGraphImage| |createGenericMatrix| |divisor| |cot|
+ |insertMatch| |clearTable!| |OMgetEndAttr| |quasiMonic?| |voidMode|
+ |equality| |subresultantVector| |minimize| |sec| |mantissa|
+ |tanhIfCan| |viewPosDefault| |ParCond| |kind|
+ |stoseInternalLastSubResultant| |closeComponent| |csc|
+ |screenResolution| |realElementary| |qinterval| |complexNumeric| |lhs|
+ |compdegd| |nlde| |imaginary| |sayLength| |categories| |f04axf|
+ |OMUnknownSymbol?| |op| |asin| |realEigenvectors| |usingTable?| |rhs|
+ |spherical| |validExponential| |finiteBound| |f01qcf| |acothIfCan|
+ |rotatey| |acos| |kernels| |edf2fi| |genericRightDiscriminant|
+ |elaboration| |drawToScale| |socf2socdf| |atan| |modifyPointData|
+ |curry| |ode1| |operator| |width| |heapSort| |f01maf| |newReduc|
+ |firstSubsetGray| |tan2trig| |identitySquareMatrix| |acot|
+ |genericLeftNorm| |selectFiniteRoutines| |quasiAlgebraicSet| |more?|
+ |shellSort| |c06gbf| |odd?| |e01saf| |asec| |resetBadValues|
+ |lazyResidueClass| |univariate| |imagi| |paren| |fractRagits|
+ |jacobiIdentity?| |lazyPrem| |cross| |acsc| |complete| |fibonacci|
+ |blue| |constantOperator| |divideIfCan!| |quotientByP| |determinant|
+ |union| |sinh| |particularSolution| |rspace| |changeMeasure| |sort!|
+ |getMeasure| |iibinom| |multiEuclidean| |car| |mr| |leftUnits| |cosh|
+ |addPoint2| |hostByteOrder| |factor| |primintfldpoly| |computeBasis|
+ |hasHi| |makeCrit| |LyndonCoordinates| |varselect| |tanh| |polygon|
+ |setMaxPoints| |cyclicEqual?| |ptree| |sqrt| |printInfo!| |setelt|
+ |cycleSplit!| |solid?| |upDateBranches| |irCtor| |coth| |f01brf|
+ |lazyVariations| |real| |optional| |createRandomElement| |returnType!|
+ |weights| |cLog| |rightExtendedGcd| |minRowIndex| |dihedral| |sech|
+ |linearDependence| |subResultantsChain| |nextItem| |imag| |unitVector|
+ |copy| |makeFR| |OMencodingBinary| |rightFactorIfCan| |Ei| |csch|
+ |directProduct| |OMgetError| |indiceSubResultantEuclidean|
+ |complexRoots| |leftPower| |root?| |normalizeIfCan| |mpsode|
+ |viewDeltaYDefault| |asinh| |getZechTable| |primPartElseUnitCanonical|
+ |lowerCase| |linear| |viewport2D| |OMputError| |eulerPhi|
+ |iteratedInitials| |quotedOperators| |acosh| |imagE| |tanIfCan|
+ |brace| |basisOfMiddleNucleus| |transcendentalDecompose| |subst|
+ |unrankImproperPartitions1| |e02dff| |bottom!| |scalarTypeOf|
+ |karatsuba| |atanh| |rightMinimalPolynomial|
+ |solveLinearPolynomialEquation| |LiePolyIfCan| |destruct| |someBasis|
+ |polynomial| |numberOfNormalPoly| |stiffnessAndStabilityFactor|
+ |e01baf| |shufflein| |match?| |cSech| |acoth| |rootKerSimp| |adaptive|
+ |cSec| |OMgetAttr| |autoCoerce| |contract| |range| |karatsubaOnce|
+ |selectPolynomials| |close| |hasPredicate?| |asech| |block|
+ |horizConcat| |leftDiscriminant| |kovacic| |hdmpToDmp| |build|
+ |basisOfLeftNucleus| |PollardSmallFactor| |factorSquareFreePolynomial|
+ |operation| |fortranCompilerName| F |oddintegers|
+ |fortranDoubleComplex| |newSubProgram| |iicsc| |objects|
+ |setLabelValue| |complement| |laplacian| |display| |entries|
+ |multiple| |opeval| |showClipRegion| |monomial| |exQuo| |scale|
+ |hasTopPredicate?| |base| |jvmNameAndTypeConstantTag| |diag| |surface|
+ |viewport3D| |applyQuote| |reorder| |ptFunc| |multivariate|
+ |measure2Result| |rationalFunction| |pomopo!| |callForm?| |exponent|
+ |factorSFBRlcUnit| |iisqrt2| |sturmSequence| |real?| |variables|
+ |before?| |roughBasicSet| |dimension| |d03eef| |printStats!| |less?|
+ |patternMatchTimes| |ratDenom| |nextSublist| |noLinearFactor?|
+ |harmonic| |closed?| |doubleDisc| |symmetricTensors| |lllip|
+ |drawComplexVectorField| |ruleset| |style| |extractClosed| |choosemon|
+ |OMreceive| |d01apf| |mapDown!| |powmod| |randomLC| |input|
+ |branchPoint?| |useEisensteinCriterion?|
+ |solveLinearPolynomialEquationByFractions| |vconcat| |isPower| EQ
+ |monomRDE| |domainTemplate| |fortranLogical| |completeHensel|
+ |library| |key?| |stopTable!| |stoseInvertible?reg| |rightOne|
+ |stronglyReduced?| |hexDigit?| |fortranComplex| |iprint|
+ |algebraicSort| |whitePoint| |suchThat| |rightAlternative?| |tube|
+ |distdfact| |coefChoose| |chiSquare1| |inputOutputBinaryFile|
+ |interactiveEnv| |c06ebf| |possiblyNewVariety?| |normalDenom|
+ |var1StepsDefault| |outputBinaryFile| |negative?| |closedCurve?|
+ |internalInfRittWu?| |iiasec| |cyclicSubmodule| |delete!|
+ |invertible?| |tanh2trigh| |pdf2df| |external?| |iiacsch| |every?|
+ |jvmMethodrefConstantTag| SEGMENT |readUInt32!| |set|
+ |primPartElseUnitCanonical!| |zero| |cotIfCan| |closedCurve|
+ |coordinates| UP2UTS |insert!| |OMputString| |palgint| |enterInCache|
+ |po| |setleaves!| |failed?| |makeprod| |rCoord| |previous|
+ |noValueMode| |f01rcf| |copyInto!| |conjug| |iitan| |And|
+ |LyndonWordsList| |point?| |leftTraceMatrix| |s17dhf| |fractionPart|
+ |rk4f| |OMputEndApp| |largest| |prinpolINFO| |Or| |setImagSteps|
+ |getVariableOrder| |kroneckerDelta| |OMgetObject| |recoverAfterFail|
+ |atrapezoidal| |inrootof| |convergents| |getDatabase| |Not|
+ |clipBoolean| |nextsousResultant2| |numericalOptimization| |middle|
+ |loopPoints| |parametersOf| |partialNumerators| |nonLinearPart|
+ |readBytes!| |finiteBasis| |scaleRoots| |lyndon| |hexDigit|
+ |perfectNthPower?| |checkForZero| |anticoord| |innerSolve|
+ |bivariate?| |meshFun2Var| |enumerate| |curryRight|
+ |resetVariableOrder| |increment| |integralLastSubResultant|
+ |wordsForStrongGenerators| |semiResultantEuclidean1|
+ |explicitlyEmpty?| |makeSeries| |nil?| |pointSizeDefault|
+ |setProperties| |category| |extractTop!| |redPol|
+ |rightRankPolynomial| |extractBottom!| |complexNumericIfCan| |li|
+ |generalPosition| |tanQ| |minimalPolynomial| |charClass| |domain|
+ |associator| |clearTheIFTable| |subMatrix| |merge| |neglist|
+ |OMencodingUnknown| |createNormalPoly| |pseudoQuotient|
+ |relativeApprox| |true| |package| |zeroDimPrime?| |numberOfComposites|
+ |raisePolynomial| |readInt8!| |ode| |ffactor| |arg1| |upperCase!|
+ |d03faf| |show| |virtualDegree| |HenselLift| |removeZero|
+ |numberOfMonomials| |selectAndPolynomials| |createPrimitivePoly|
+ |integerBound| |arg2| |infinite?| |taylorRep| |jvmPrivate|
+ |reciprocalPolynomial| |insertTop!| |linearlyDependent?| |polyred|
+ |fi2df| |trace2PowMod| |tryFunctionalDecomposition| |insert| |orbit|
+ |trace| |euclideanSize| |df2fi| |pureLex| |setLength!| |lfextendedint|
+ |contractSolve| |mergeDifference| |curve?| |subResultantGcdEuclidean|
+ |conditions| |ScanFloatIgnoreSpacesIfCan| |lintgcd|
+ |extendedResultant| |leadingIdeal| |readUInt16!| |linkToFortran|
+ |d02gbf| |repeating?| |center| |outputArgs| |match| |pointData|
+ |readIfCan!| |leftFactorIfCan| |mainDefiningPolynomial|
+ |extendedSubResultantGcd| |bracket| |cyclicGroup| |sumOfSquares|
+ |tRange| |eulerE| |has?| |nextNormalPoly| |ef2edf| |clearDenominator|
+ |green| |gensym| |nilFactor| |unexpand| |symmetricGroup| |test|
+ |prefixRagits| |region| |oneDimensionalArray| |resize| |meatAxe|
+ |leftUnit| |associatedEquations| |outputAsScript| |youngDiagram|
+ |approxNthRoot| |nodeOf?| |eigenvector| |separateFactors|
+ |RittWuCompare| |removeSuperfluousQuasiComponents|
+ |linearAssociatedLog| |useSingleFactorBound?| |computeCycleLength|
+ |rightUnit| |monomRDEsys| |solveRetract| |square?| |pointLists|
+ |jvmLongConstantTag| |changeName| |exprToXXP| |airyBi| |polyPart|
+ |OMserve| |combineFeatureCompatibility| |s18aef| |getProperty|
+ |OMputEndBVar| |dictionary| |root| |mainExpression| |primlimintfrac|
+ |intChoose| |s17ahf| |zCoord| |f02ajf| |droot| |bumptab| |expandLog|
+ |polyRDE| |OMputApp| |removeRedundantFactorsInPols| |elseBranch|
+ |e02agf| |cardinality| |prefix| |cAcoth| |ODESolve| |revert|
+ |setButtonValue| |part?| |replace| |cCosh| |trim| |simpson|
+ |minimumExponent| |mkcomm| |subResultantGcd| |OMencodingSGML|
+ |startPolynomial| |write!| |hMonic| |bit?| |rationalApproximation|
+ |cycleElt| |nextIrreduciblePoly| |log10| |stopMusserTrials| |ldf2vmf|
+ |leadingIndex| |iilog| |e01bgf| |asechIfCan| |critBonD|
+ |createPrimitiveElement| |mainValue| |sum| |bitand| |branchIfCan|
+ |nullary?| |prinb| |reducedContinuedFraction| |overlap|
+ |stoseLastSubResultant| |minPoints| |complexExpand| |OMbindTCP|
+ |bigEndian| |bitior| |changeNameToObjf| |leftReducedSystem|
+ |OMconnOutDevice| |nodes| |e02aef| |s18aff| |generic?| |tanNa|
+ |invmod| |nextNormalPrimitivePoly| |f07fef| |shallowExpand| |lp|
+ |retract| |setPrologue!| |zeroOf| |cTanh| |mulmod| |exportedOperators|
+ |transcendent?| |monic?| |shiftRight| |graphs| |critT| |fortran|
+ |nullity| |drawStyle| |encodingDirectory| |df2st| |extendedEuclidean|
+ |df2mf| |stosePrepareSubResAlgo| |s21bdf| |jvmUTF8ConstantTag|
+ |rightRank| |fortranTypeOf| |LazardQuotient| |matrixGcd| |swap!|
+ |polarCoordinates| |status| |measure| |simplifyPower| |diagonal?|
+ |const| |logIfCan| |intermediateResultsIF| |mapdiv| |obj| |dmp2rfi|
+ |f01bsf| |omError| |rectangularMatrix| |size| |mainPrimitivePart|
+ |unary?| |rk4qc| |lookup| |stronglyReduce| |primextendedint|
+ |byteBuffer| |mathieu11| |cache| |sinh2csch| |semicolonSeparate|
+ |moduloP| |probablyZeroDim?| |empty?| |shape| |jvmVolatile|
+ |argscript| |irreducibleFactor| |showTheSymbolTable| |showAllElements|
+ |lazyEvaluate| |fortranLinkerArgs| |extendedIntegrate| |OMgetType|
+ |dAndcExp| |conjunction| |cschIfCan| |Is| |rootOf| |extend| RF2UTS
+ |minPoints3D| |linSolve| |simpleBounds?| |psolve| |rootPoly| |recolor|
+ |lastSubResultantElseSplit| |associative?| |cCot| Y |numberOfHues|
+ |cn| |asimpson| |numer| |disjunction| |medialSet| |retractIfCan|
+ |maxrank| |byte| |cAcos| |ratDsolve| |c06ecf| |getOrder| |makeCos|
+ |OMgetEndBind| |denom| |dmpToHdmp| |mesh| |outputFixed| |discreteLog|
+ |edf2efi| |OMgetAtp| |chebyshevU| |packageCall| |lazyPquo|
+ |outlineRender| |value| |curveColorPalette|
+ |removeIrreducibleRedundantFactors| |lllp| |bytes| |euler| |ord|
+ |iiexp| |pi| |algintegrate| |uniform| |jvmStatic| |perfectSquare?|
+ |OMopenFile| |iiacoth| |fixedPoint| |node| |myDegree| |preprocess|
+ |script| |infinity| |f04qaf| |nthRoot| |primeFrobenius| |principal?|
+ |label| |subHeight| |replaceKthElement| |flatten| |enterPointData|
+ |numFunEvals| |presub| |setVariableOrder| |pushuconst| |rootNormalize|
+ |distFact| |table| |mat| |binomThmExpt| |diagonal| |d01asf|
+ |linearPart| |pade| |birth| |interpolate| |new| |hitherPlane|
+ |primextintfrac| |setIntersection| |cAcot| |kernel| |tex|
+ |internalSubQuasiComponent?| |child?| |maxColIndex| |cCoth| |declare!|
+ |basisOfCommutingElements| |systemCommand| |repSq|
+ |algebraicDecompose| |int| |sign| |getRef| |f02abf| |list| |divide|
+ |radicalSimplify| |map| |leftDivide| |currentEnv| |digits|
+ |leftFactor| |leastAffineMultiple| |argumentListOf|
+ |integralMatrixAtInfinity| |draw| |chainSubResultants| |elliptic?|
+ |algebraicCoefficients?| |back| |solveInField|
+ |generalInfiniteProduct| |curryLeft| |s17dlf| |mergeFactors|
+ |externalList| |complexSolve| |c06frf| |brillhartIrreducible?|
+ |solveid| |nextPrime| |leadingCoefficientRicDE| |OMcloseConn|
+ |setClosed| |constructor| |f2df| |unitCanonical| |OMputAttr|
+ |elementary| |critMonD1| |readUInt8!| |e04jaf| |topPredicate|
+ |quatern| |pdf2ef| |representationType| |getMatch| |nextColeman|
+ |initial| |option| |invertibleSet| |gderiv| |fixPredicate| |csubst|
+ |cSinh| |showSummary| |makeObject| |generateIrredPoly| |musserTrials|
+ |solveLinearPolynomialEquationByRecursion| |setErrorBound| |convert|
+ |init| |cap| |setDifference| |s18def| |mainVariable?| |outerProduct|
+ |getExplanations| |selectSumOfSquaresRoutines| |coef| |totalfract|
+ |tValues| |zeroVector| |segment| |cAcsc| |rroot| |debug3D|
+ |complexForm| |recur| |showAttributes| |orbits| |roughSubIdeal?|
+ |exactQuotient| |listOfMonoms| |cAtanh| |selectsecond| |left|
+ |relerror| |primintegrate| |pastel| |tubePlot| |pushucoef| |mathieu22|
+ |equation| |submod| |name| |modularFactor| |null| |f01rdf| |right|
+ |padicFraction| LODO2FUN |squareFreePrim| |OMgetEndApp| BY
+ |partialFraction| |pop!| |tab1| |stop| |body| |reducedQPowers|
+ |integral| |returnTypeOf| |halfExtendedResultant2| |not| |makeSin|
+ |eigenvectors| |createLowComplexityNormalBasis| |buildSyntax|
+ |purelyAlgebraicLeadingMonomial?| |iiperm| |ddFact| |fixedDivisor|
+ |d02ejf| |and| |smith| |open?| |clearFortranOutputStack| |postfix|
+ |zerosOf| |fullDisplay| |id| |selectNonFiniteRoutines|
+ |internalAugment| |lifting1| |or| |changeWeightLevel|
+ |jvmStringConstantTag| |critpOrder| |cyclicCopy| |realRoots|
+ |complementaryBasis| |exponential| |algebraicOf| |zoom| |xor| |lo|
+ |c06gcf| |pole?| |numberOfCycles| |cfirst| |extendIfCan| |eq?|
+ |specialTrigs| |mindegTerm| |case| |readLine!| |rdregime|
+ |pointColorPalette| |associatorDependence|
+ |removeRoughlyRedundantFactorsInPol| |exprHasWeightCosWXorSinWX|
+ |absolutelyIrreducible?| |lexico| |changeThreshhold| |explimitedint|
+ |Zero| |cylindrical| |fortranInteger| |uniform01| |bezoutResultant|
+ |superscript| |flagFactor| |degreePartition| |One| |cosIfCan|
+ |secIfCan| |rules| NOT |cosh2sech| |expIfCan| |calcRanges| |create|
+ |rootsOf| |leftRankPolynomial| |gcdprim| |basisOfNucleus|
+ |nextLatticePermutation| |setlast!| |fortranLiteral| OR
+ |definingEquations| |assert| |cycleTail| |attributeData| |sechIfCan|
+ |OMputEndObject| |port| |setColumn!|
+ |generalizedContinuumHypothesisAssumed| |backOldPos| |pattern|
+ |prepareDecompose| AND |scalarMatrix| |laguerreL| |expextendedint|
+ |phiCoord| |OMgetApp| |pr2dmp| |symbol| |rationalPower| |bipolar|
+ |badValues| |variationOfParameters| |s21baf|
+ |isAbsolutelyIrreducible?| |mainContent|
+ |zeroSetSplitIntoTriangularSystems| |t| |leftGcd| |cyclotomic|
+ |expression| |superHeight| |stripCommentsAndBlanks| |setUnion|
+ |gbasis| |coerceP| |unitsColorDefault| |frst| |integralRepresents|
+ |schema| |cscIfCan| |integer| |ramified?| |elt|
+ |semiResultantReduitEuclidean| |palgint0| |lazyPremWithDefault|
+ |setfirst!| |showAll?| |fillPascalTriangle| |f01mcf| |message|
+ |power!| |rk4a| |iiasech| |polynomialZeros| |summation|
+ |evaluateInverse| |putProperty| |overbar| |transcendenceDegree|
+ |approxSqrt| |rightPower| |groebgen| |prindINFO| |unknown| |color|
+ |incrementKthElement| |jvmPublic| |reset| |OMsend|
+ |nativeModuleExtension| |f02awf| |setref| |double| |currentScope|
+ |pseudoRemainder| |ratpart| |setTopPredicate| |inverseLaplace|
+ |expenseOfEvaluation| |lineColorDefault| |denominators| |elements|
+ |complexZeros| |OMopenString| |e04naf| |roughEqualIdeals?|
+ |rightQuotient| |write| |palgLODE0| |collectUnder| |graeffe|
+ |startTable!| |graphStates| |binaryTree| |endSubProgram| |apply|
+ |acosIfCan| |rowEch| |save| |f2st| |localAbs| |startStats!| |addiag| *
+ |decreasePrecision| |univcase| |isAnd| |cons| |delay| |first|
+ |components| |makeMulti| |rewriteIdealWithHeadRemainder|
+ |factorsOfCyclicGroupSize| |minordet| |iiasin| |c06fpf| |iroot|
+ |headAst| |removeSuperfluousCases| |rest| |htrigs| |constantRight|
+ |stoseInvertible?sqfreg| |ldf2lst| |exprToUPS| |ode2| |denominator|
+ |e01daf| |power| |createLowComplexityTable| |rightMult| |presuper|
+ |reverse!| |multiplyExponents| |mapExponents| = |setEmpty!| |s01eaf|
+ |defineProperty| |elRow1!| |firstUncouplingMatrix|
+ |semiDegreeSubResultantEuclidean| |d01gaf| |f01qdf| |fortranCharacter|
+ |signature| |conditionP| |optAttributes| |OMlistSymbols| |OMreadStr|
+ |polar| |subCase?| |roughBase?| |symFunc| < |allRootsOf|
+ |generalizedEigenvector| |patternVariable| |BumInSepFFE| |order|
+ |plusInfinity| |getButtonValue| |e02bdf| |vspace| |splitNodeOf!|
+ |squareFreePart| > |parts| |mapBivariate| |palgRDE| |OMputEndAtp|
+ |source| |jvmProtected| |minusInfinity| |toScale| |s13adf|
+ |getBadValues| |enqueue!| <= |nthFractionalTerm| |cExp|
+ |principalAncestors| |fractionFreeGauss!| |singleFactorBound|
+ |triangulate| |partition| |equiv| |weighted| |palgintegrate| >=
+ |redpps| |mathieu23| |interReduce| |isEquiv| |taylor| |explogs2trigs|
+ |mapmult| FG2F |numberOfFractionalTerms| |zeroDimPrimary?|
+ |exprToGenUPS| |deleteRoutine!| |badNum| |laurent| |primaryDecomp|
+ |principalIdeal| |midpoints| |diophantineSystem| |char| |slex|
+ |dequeue| |factorList| |mapMatrixIfCan| |rational| |puiseux|
+ |quickSort| |ScanFloatIgnoreSpaces| |cyclePartition|
+ |axesColorDefault| |ramifiedAtInfinity?| + |leadingSupport| |box|
+ |slash| |target| |henselFact| |type| |laurentIfCan| |functorData|
+ |rightScalarTimes!| |select!| |stopTableGcd!| |positive?| -
+ |lazyIrreducibleFactors| |bivariatePolynomials| |sample|
+ |stoseInvertibleSetreg| |inv| |cCsc| |linearForm| |minimumDegree| /
+ |shiftRoots| |setFormula!| |currentSubProgram| |derivationCoordinates|
+ |ground?| |useSingleFactorBound| |goodnessOfFit| |commutative?|
+ |numericIfCan| |setMinPoints3D| |froot| |chebyshevT| |extensionDegree|
+ |d01gbf| |ground| |leftRegularRepresentation| |shuffle|
+ |taylorQuoByVar| |interpretString| |radicalRoots| |intersect|
+ |computeCycleEntry| |iisin| |normalizeAtInfinity| |leadingMonomial|
+ |d02kef| |findCycle| |swap| |cond| |cyclic?| |coefficients| |float|
+ |diagonalProduct| |idealiser| |leadingCoefficient| |factorial|
+ |extendedint| |putProperties| |legendreP| |coercePreimagesImages|
+ |algSplitSimple| |leftMult| |f07aef| |d01anf| |primitiveMonomials|
+ |chineseRemainder| |getGoodPrime| |comparison| |bat1| |quadratic|
+ |e02dcf| |moebiusMu| |Lazard| |lastSubResultant| |reductum|
+ |getMultiplicationMatrix| |leftAlternative?| |rationalPoints|
+ |monomialIntPoly| |stFuncN| |e01sef| |OMputEndBind| |powers|
+ |chiSquare| |OMencodingXML| |asecIfCan| |integralDerivationMatrix|
+ |tubePoints| |makeSketch| |jordanAlgebra?| |dot| |bipolarCylindrical|
+ |errorInfo| |thetaCoord| |parse| |truncate| |level| F2FG
+ |lowerPolynomial| |cTan| |jvmSuper| |e01bff| |checkPrecision|
+ |pleskenSplit| |squareFreePolynomial| |plenaryPower| |OMputObject|
+ |hcrf| |wordInGenerators| |copy!| |frobenius| |connectTo|
+ |semiResultantEuclidean2| |currentCategoryFrame|
+ |wordInStrongGenerators| |lquo| |space| |f04faf| |binaryFunction|
+ |crushedSet| |ravel| |just| |expandTrigProducts| |makeVariable|
+ |geometric| |dominantTerm| GE |rotate| |setelt!| |f01qef| |sumSquares|
+ |d02bhf| |unitNormalize| |clearCache| |shiftLeft|
+ |jvmClassConstantTag| |overlabel| |reshape| |LowTriBddDenomInv|
+ |atanIfCan| GT |mapUp!| |sparsityIF| |e04dgf| |multisect| |qfactor|
+ |OMsupportsSymbol?| |brillhartTrials| |setAdaptive| |inverseColeman|
+ |rationalPoint?| |mapUnivariateIfCan| |resetNew| LE |vedf2vef|
+ |setCondition!| |besselY| |subTriSet?| |cot2tan| |splitDenominator|
+ |denomRicDE| |showTheRoutinesTable| |linears| |predicates| LT |top!|
+ |abelianGroup| |toseInvertibleSet| |extractPoint| |qPot|
+ |doubleFloatFormat| |minIndex| |retractable?| |trigs2explogs|
+ |SturmHabichtMultiple| |lowerCase!| |hessian| |fixedPoints| |s13acf|
+ |leftQuotient| |bat| |permutationGroup| |listRepresentation|
+ |LagrangeInterpolation| |se2rfi| |outputAsTex| |normalElement|
+ |factorials| |minrank| |inHallBasis?| |s14abf| |acscIfCan| |empty|
+ |reindex| |continuedFraction| |airyAi| |remainder| |update|
+ |possiblyInfinite?| |problemPoints| |lookupFunction| |ranges|
+ |pmintegrate| |processTemplate| |testModulus| |safeFloor| |rename|
+ |iiatanh| |arity| |normalize| |bombieriNorm| |outputList| |bitTruth|
+ |constantKernel| |finite?| |limitPlus| |normalized?| |magnitude|
+ |bright| |skewSFunction| |light| |sinhcosh| |index| |prologue|
+ |traverse| |leftCharacteristicPolynomial| |bivariateSLPEBR|
+ |bringDown| |coerceImages| |e02ajf| |factorSquareFreeByRecursion|
+ |normalDeriv| |isOr| |s17aff| |adaptive3D?| |indiceSubResultant|
+ |stiffnessAndStabilityOfODEIF| |logGamma| |insertBottom!|
+ |createNormalPrimitivePoly| |removeSinSq|
+ |semiIndiceSubResultantEuclidean| |reducedDiscriminant| |leader|
+ |eval| |createNormalElement| |remove!| |OMmakeConn| |quartic|
+ |makeViewport2D| |fortranCarriageReturn| |safetyMargin| |quotient|
+ |s14aaf| |aspFilename| |componentUpperBound| |vectorise|
+ |basisOfRightNucloid| |bandedHessian| |pair| |divideExponents|
+ |points| |position| |is?| |subscriptedVariables|
+ |exteriorDifferential| |integralCoordinates| |e02bcf| |headRemainder|
+ |algDsolve| |clip| |csc2sin| |ksec| |mappingMode|
+ |rightCharacteristicPolynomial| |sizePascalTriangle| |interval|
+ |e01bhf| |solve| |cRationalPower| |digamma| |error| |rotatez|
+ |antiCommutative?| |rarrow| |univariatePolynomials| |OMgetEndBVar|
+ |genericRightNorm| |e02gaf| |areEquivalent?| |float?| |sincos|
+ |partitions| |splitSquarefree| |e02adf| |setPosition| |plus!|
+ |tracePowMod| |reverse| |parabolic| |f04asf| |halfExtendedResultant1|
+ |selectOptimizationRoutines| |genericRightTraceForm| |mainForm|
+ |binomial| |sech2cosh| |primitivePart!| |commonDenominator|
+ |outputMeasure| |elaborateFile| |fglmIfCan| |maxIndex| |OMgetSymbol|
+ |s17aef| |stFunc1| |isMult| |numberOfImproperPartitions|
+ |oblateSpheroidal| |quadratic?| |multiple?| |doubleRank|
+ |outputFloating| |nextSubsetGray| |optimize| |writeBytes!| |floor|
+ |isTimes| |unravel| |rationalIfCan| |branchPointAtInfinity?| |randnum|
+ |conjugate| |rule| |parseString| |permutationRepresentation|
+ |LyndonWordsList1| |degreeSubResultantEuclidean| |lifting| |evaluate|
+ |reduceBasisAtInfinity| |LiePoly| |setnext!| |reify| |modularGcd|
+ |countable?| |pquo| |palgLODE| |mappingAst| |d03edf| |mvar|
+ |writeUInt8!| |reseed| |elem?| |s19aaf| |trunc| |function|
+ |getProperties| |countRealRootsMultiple| |gethi| |eof?| |e02daf|
+ |parametric?| |triangSolve| |cartesian| |pushNewContour| |e02ddf|
+ |degreeSubResultant| |alphanumeric?| |s17ajf| |maxdeg|
+ |primitiveElement| |radix| |gcdPolynomial| |infRittWu?|
+ |rowEchelonLocal| |chvar| |e02def| |f02aaf| |deepestInitial|
+ |makingStats?| |c06fuf| |setScreenResolution3D| |deepCopy|
+ |removeRedundantFactors| |mainVariable| |OMgetBind| |mainKernel|
+ |setchildren!| |safeCeiling| |ListOfTerms| |internalIntegrate0|
+ |critB| |degree| |abs| |bumprow| |reduceByQuasiMonic| |removeCoshSq|
+ |incr| |integralMatrix| |nextsubResultant2| |sdf2lst| |changeVar|
+ |symmetricPower| |cyclotomicDecomposition| |mapUnivariate| |f02wef|
+ |completeSmith| |viewThetaDefault| |palginfieldint| |rem| |substitute|
+ |noKaratsuba| |functionIsContinuousAtEndPoints|
+ |createIrreduciblePoly| |scan| |unparse|
+ |semiSubResultantGcdEuclidean1| |mkAnswer| |extractIndex| |OMputFloat|
+ |quo| |c05pbf| |expressIdealMember| |unit?| |padicallyExpand|
+ |setright!| |errorKind| |OMputVariable| |getCurve|
+ |numericalIntegration| |infiniteProduct| |groebnerIdeal| |d02bbf|
+ |cSin| |normalizedAssociate| |rotate!| |biRank| |double?|
+ |rangeIsFinite| |hasSolution?| |lfinfieldint| |div| |OMputInteger|
+ |OMgetString| |permanent| |bubbleSort!| |critM| |jvmSynchronized|
+ |initials| |d01amf| |resultantnaif| |trailingCoefficient| |exquo|
+ |say| |resultantEuclideannaif| |lazyIntegrate| |irreducibleFactors|
+ |scanOneDimSubspaces| |c06gqf| |constantOpIfCan| |roughUnitIdeal?|
+ |OMputEndError| |triangular?| |f04atf| ~= |delete| |capacity|
+ |firstDenom| |leadingTerm| |epilogue| |trigs| |iicsch| |exponential1|
+ |characteristic| |multiplyCoefficients| |eyeDistance| |#| |dflist|
+ |euclideanNormalForm| |solid| |diagonalMatrix| |definingPolynomial|
+ |lcm| |putColorInfo| |strongGenerators| |lfintegrate|
+ |factorSquareFree| ~ |setStatus| |rightTrace| |cAcsch|
+ |innerEigenvectors| |countRealRoots| |scripted?| |basisOfCenter|
+ |laplace| |ScanArabic| |messagePrint| |addBadValue|
+ |indicialEquations| |commaSeparate| |divisors| |pointPlot|
+ |numberOfIrreduciblePoly| |append| |copies| |leastPower| |numeric|
+ |inR?| |removeRoughlyRedundantFactorsInPols| |diagonals| |bindings|
+ |lieAlgebra?| |e02ahf| |isExpt| |atanhIfCan| |operations| |asinIfCan|
+ |doubleResultant| |gcd| |getlo| |radical| |integerIfCan| |ricDsolve|
+ |/\\| |sh| |certainlySubVariety?| |Beta| |setProperty| |argument|
+ |decompose| |bezoutMatrix| |false| |clipWithRanges| |dec| |stirling1|
+ |generic| |\\/| |satisfy?| |readable?| |OMputBind| |mapSolve|
+ |pointColorDefault| |complexElementary| |OMconnInDevice| |iisec|
+ |janko2| |maxPoints| |headReduced?| |iicos| |midpoint| |find|
+ |maxPoints3D| |totalDifferential| |makeop| |iiacsc| |irDef|
+ |doublyTransitive?| |cothIfCan| |mapExpon| |elColumn2!| |binary|
+ |squareMatrix| |lyndonIfCan| |composites| |iidprod| |call|
+ |setprevious!| |generalizedEigenvectors| |condition| |cycles|
+ |UpTriBddDenomInv| |goto| |explicitlyFinite?| |OMsupportsCD?|
+ |mapCoef| |generate| |commutativeEquality| |findBinding|
+ |stoseSquareFreePart| |linearlyDependentOverZ?| |reverseLex|
+ |factorset| |queue| |cycleEntry| |coerce| |ipow| |complexLimit|
+ |indices| |unvectorise| |Si| |outputForm| |normFactors|
+ |coerceListOfPairs| |purelyTranscendental?| |construct| |removeCosSq|
+ |nextPrimitivePoly| |incrementBy| |jvmInterface| |monicDivide|
+ |sec2cos| |printInfo| |limitedIntegrate| |typeList| |f04arf|
+ |rightFactorCandidate| |monicRightFactorIfCan| |crest| |octon|
+ |rename!| |expand| |f02adf| |removeRoughlyRedundantFactorsInContents|
+ |cyclic| |d01alf| |var2Steps| |lex| |lSpaceBasis| |optpair| |romberg|
+ |decrease| |arguments| |acoshIfCan| |writeByte!| |bounds| |super|
+ |singular?| |nextPrimitiveNormalPoly| |pushdown| |cos2sec| |e04fdf|
+ |solve1| |elaborate| |besselK| |physicalLength!| |rootDirectory|
+ |directSum| |besselI| |useEisensteinCriterion|
+ |rewriteIdealWithQuasiMonicGenerators| |d02raf| |pair?|
+ |listConjugateBases| |OMputBVar| |changeBase| |index?|
+ |generalLambert| |setPoly| |viewSizeDefault| |pmComplexintegrate|
+ |realZeros| |powerSum| |tab| |expintfldpoly| |modulus|
+ |factorByRecursion| |nthExponent| |polygon?| |loadNativeModule|
+ |cAsech| |fill!| |ellipticCylindrical| |createThreeSpace|
+ |alternating| |dfRange| |clearTheFTable| |binaryTournament| |e02baf|
+ |ran| |SturmHabicht| |c06gsf| |concat!| |s19acf|
+ |semiResultantEuclideannaif| |subNode?| |complexEigenvectors| |red|
+ |OMgetEndAtp| |jvmStrict| |routines| |inverseIntegralMatrixAtInfinity|
+ |traceMatrix| |perfectSqrt| |debug| |euclideanGroebner| |tan2cot|
+ |eigenMatrix| |readInt16!| |pow| |one?| |pack!| |getOperator| |e02bbf|
+ |regime| D |mathieu24| |increase| |setScreenResolution|
+ |generalTwoFactor| |over| |dim| |matrix| |ScanRoman| |node?|
+ |jvmFieldrefConstantTag| |normDeriv2| |deepExpand| |log|
+ |tensorProduct| |approximants| |trivialIdeal?| |setRealSteps|
+ |pointColor| |invertIfCan| |aLinear| |s13aaf| |assign| |swapRows!|
+ |compactFraction| |iiacosh| |UnVectorise| |infinityNorm|
+ |idealiserMatrix| |generalizedInverse| |PDESolve| |minus!|
+ |listOfLists| |iidsum| |rangePascalTriangle| |minGbasis| |padecf|
+ |categoryFrame| |fprindINFO| |alternatingGroup| |factorFraction|
+ |compile| |userOrdered?| |dimensions| |push| |prevPrime|
+ |completeEval| |lexGroebner| |groebSolve| |mkPrim| |pascalTriangle|
+ |bitLength| |innerint| |fixedPointExquo| |factorsOfDegree| |f07fdf|
+ |upperCase?| |minColIndex| |factorAndSplit| |evenlambert| |jacobian|
+ |randomR| |createMultiplicationMatrix| |e04mbf| |boundOfCauchy|
+ |weierstrass| |stoseIntegralLastSubResultant| |updateStatus!|
+ |modularGcdPrimitive| |move| |selectIntegrationRoutines| |fmecg|
+ |lprop| |maxrow| |getIdentifier| |reflect| |sub| |hermite| |predicate|
+ |s21bcf| |isNot| |balancedBinaryTree| |transpose| |aromberg| |factors|
+ |f04mbf| |shift| |latex| |lflimitedint| |viewWriteDefault| |d02cjf|
+ |print| |coleman| |matrixDimensions| |semiLastSubResultantEuclidean|
+ |rowEchLocal| |cubic| |f02bbf| |OMsetEncoding| |flexibleArray|
+ |selectODEIVPRoutines| |separant| |resolve| |isConnected?| |nand|
+ |integers| |iflist2Result| |updatD| |selectPDERoutines| |removeSinhSq|
+ |modTree| |zeroDimensional?| |delta| |cCos| |hasoln|
+ |generalizedContinuumHypothesisAssumed?| |att2Result| |OMputAtp|
+ |systemSizeIF| |gcdcofact| |goodPoint| |rightExactQuotient|
+ |leftExactQuotient| |qroot| |addmod| |s14baf| |coefficient|
+ |quasiRegular| |conditionsForIdempotents| |positiveSolve| |duplicates|
+ |resultant| |isQuotient| |genus| |rubiksGroup| |cdr|
+ |univariatePolynomial| |polygamma| |nthExpon| |expenseOfEvaluationIF|
+ |cAsec| |setClipValue| |rightRemainder| |next| |roman| |rur| |lfunc|
+ |denomLODE| |Frobenius| |second| |solveLinearlyOverQ| |bernoulliB|
+ |trapezoidal| |colorFunction| |subSet| |s18dcf| |numberOfChildren|
+ |rk4| |fractRadix| |torsion?| |e04ucf| |third| |f02akf| |divideIfCan|
+ |shrinkable| |radicalSolve| |tubeRadiusDefault| |void|
+ |linearDependenceOverZ| |getMultiplicationTable| |upperBound|
+ |genericRightTrace| |yCoord| |ridHack1| |collectQuasiMonic| |returns|
+ |getStream| |exprHasLogarithmicWeights| |parameters| |point|
+ |qualifier| |LyndonBasis| |torsionIfCan| |totalDegree|
+ |genericLeftTrace| |seriesToOutputForm| |f02xef| |conjugates|
+ |addPoint| |lambda| |jvmInterfaceMethodConstantTag| |height| |bfEntry|
+ |saturate| |inRadical?| |constant?| |halfExtendedSubResultantGcd2|
+ |algint| |precision| |s21bbf| |readLineIfCan!| |leftScalarTimes!|
+ |univariateSolve| |rischNormalize| |palglimint0| |nsqfree|
+ |printTypes| |escape| |remove| |setleft!| |pile| |setEpilogue!|
+ |homogeneous?| |exptMod| |fortranDouble| |e01sff| |series| |ideal|
+ |s17agf| |gramschmidt| |numberOfComputedEntries| |FormatRoman|
+ |initializeGroupForWordProblem| |digit| |meshPar2Var| |UP2ifCan|
+ |permutations| |cAsin| |redmat| |pol| |last| |imagK|
+ |cyclotomicFactorization| |f02aff| |linear?| |insertionSort!|
+ |reducedForm| |critMTonD1| |gradient| |plot| |definingInequation|
+ |assoc| |numberOfPrimitivePoly| |operators| |categoryMode| UTS2UP
+ |alphabetic?| |stopTableInvSet!| |entry| |monicLeftDivide| |element?|
+ |s19adf| |leftTrace| |adaptive?| |shade| |rewriteSetWithReduction|
+ |rightRecip| |reduceLODE| |semiDiscriminantEuclidean|
+ |internalDecompose| |max| |mainCoefficients| |minPoly| |prod|
+ |sylvesterMatrix| |taylorIfCan| |c02agf| |iterationVar| |s20adf|
+ |headReduce| |anfactor| |quote| |prime?| |clikeUniv| |makeEq|
+ |OMclose| |integralAtInfinity?| |direction| |fracPart| |wholeRadix|
+ |characteristicPolynomial| |nthr| |localReal?| |cCsch| |multMonom|
+ |iifact| |mainCharacterization| |idealSimplify| |setOfMinN| |declare|
+ |internalLastSubResultant| |nor| |sort| |push!| |subPolSet?|
+ |makeYoungTableau| |characteristicSet| |plotPolar| |setFieldInfo|
+ |removeZeroes| |ignore?| |imagI| |f07adf| |simplifyExp| |units|
+ |drawComplex| |numFunEvals3D| |showArrayValues| |OMgetEndError|
+ |elRow2!| |mathieu12| |bag| |lagrange| |binarySearchTree| |basicSet|
+ |pToDmp| |radicalEigenvalues| |realSolve| |lexTriangular| |members|
+ |round| |complex?| |s20acf| |hi| |f01ref| |setValue!| |OMread|
+ |resultantEuclidean| |realEigenvalues| |notelem| |tail| |d02gaf|
+ |tanSum| |inspect| |bitCoef| |sin2csc| |random| |simpsono|
+ |evenInfiniteProduct| |stoseInvertible?| |shallowCopy|
+ |factorOfDegree| |getSyntaxFormsFromFile| |digit?| |cosSinInfo|
+ |curve| |integralBasis| |top| |viewPhiDefault| |trueEqual|
+ |autoReduced?| |applyRules| |quoByVar| |dark| |newTypeLists| |iiacot|
+ |clearTheSymbolTable| |getCode| |upperCase| |continue| |code|
+ |symmetricRemainder| |parent| |showFortranOutputStack| |addPointLast|
+ |createPrimitiveNormalPoly| |removeConstantTerm| |setPredicates|
+ |aQuadratic| |d01fcf| |inGroundField?| |rootSimp| |rightTrim|
+ |OMParseError?| |multiEuclideanTree| |initiallyReduce| |isList|
+ |f02bjf| |beauzamyBound| |tubePointsDefault| |entry?| |cycle|
+ |jvmDoubleConstantTag| |leftTrim| |normalise| |subtractIfCan|
+ |controlPanel| |augment| |leadingExponent| |dn| |inputBinaryFile|
+ |factorGroebnerBasis| |reduced?| |properties| |any| |rombergo|
+ |leastMonomial| |credPol| |e01bef| |compose| |printCode|
+ |resultantReduit| |nil| |oddInfiniteProduct| |rightDivide| |child|
+ |translate| |lift| |leadingBasisTerm| |iiatan| |toseInvertible?|
+ |symmetricDifference| |resetAttributeButtons| |sizeMultiplication|
+ |wholeRagits| |composite| |uncouplingMatrices| |norm| |reduce|
+ |iExquo| |connect| |iisqrt3| |iomode| |coordinate| |powerAssociative?|
+ |weight| |genericLeftDiscriminant| |leviCivitaSymbol|
+ |subResultantChain| |linearMatrix| |ocf2ocdf| |derivative| |c06eaf|
+ |inverseIntegralMatrix| |symmetricProduct| |drawCurves| |generators|
+ |mdeg| |primitivePart| |approximate| |iicot| |selectOrPolynomials|
+ |var1Steps| |polyRicDE| |nullSpace| |complex| |addMatch| |rootRadius|
+ |unit| |integral?| |identityMatrix| |rootProduct| |acschIfCan|
+ |commutator| |hdmpToP| |mainMonomial| |antisymmetricTensors|
+ |basisOfLeftNucloid| |sPol| |leftNorm| |showRegion| |flexible?|
+ |bumptab1| |elliptic| |isImplies| |redPo| |moebius| |primitive?|
+ |leftLcm| |extractSplittingLeaf| |makeViewport3D| |constantIfCan|
+ |llprop| |infLex?| |invmultisect| |solveLinear| |isOpen?| |computeInt|
+ |decomposeFunc| |wreath| |product| |sqfrFactor| |collect|
+ |removeDuplicates| |listBranches| |paraboloidal| |LazardQuotient2|
+ |imagk| |failed| |axes| |viewDeltaXDefault| |viewDefaults|
+ |getConstant| |integer?| |seriesSolve| |rootBound| |iisech|
+ |readByte!| |sumOfDivisors| |printHeader| |consnewpol| |graphCurves|
+ |computePowers| |RemainderList| |arrayStack| |log2| |sup|
+ |univariatePolynomialsGcds| |sorted?| |squareFreeLexTriangular|
+ |bernoulli| |clipSurface| |extension| |genericRightMinimalPolynomial|
+ |accuracyIF| |zag| |viewWriteAvailable| |option?| |numberOfFactors|
+ |cAsinh| |rowEchelon| |rootPower| |nthCoef| |interpret| GF2FG
+ |legendre| |printStatement| |lowerBound| |transform| |writable?|
+ |baseRDE| |dimensionsOf| |setMinPoints| |lepol| |quadraticForm|
+ |dioSolve| |setsubMatrix!| |numberOfVariables| |algebraicVariables|
+ |unaryFunction| |irForm| |f04maf| |xCoord| |list?| |d01akf| |eq|
+ |internalSubPolSet?| |nothing| |s15aef| |selectfirst| |sizeLess?|
+ |subQuasiComponent?| |monicRightDivide| |edf2df| |jacobi| |limit|
+ |expintegrate| |iter| |palgRDE0| |blankSeparate| |nthRootIfCan|
+ |totolex| |csch2sinh| |unprotectedRemoveRedundantFactors|
+ |modifyPoint| |yellow| |outputGeneral| |hspace| |e02zaf| |viewpoint|
+ |removeRedundantFactorsInContents| |integrate| |linGenPos| |nonQsign|
+ |shanksDiscLogAlgorithm| |rightUnits|
+ |dimensionOfIrreducibleRepresentation| |duplicates?| |c02aff|
+ |groebner| |dual| |readInt32!| |internalIntegrate| |length|
+ |fullPartialFraction| |stoseInvertibleSet| |deepestTail| |laguerre|
+ |s19abf| |restorePrecision| |depth| |isAtom| |qqq| |coshIfCan|
+ |symbolTable| |scripts| |constant| |highCommonTerms| |identification|
+ |completeEchelonBasis| |showIntensityFunctions| |isobaric?|
+ |fortranReal| |split!| |Hausdorff| |pdct| |topFortranOutputStack|
+ |rightDiscriminant| |numberOfComponents| |deriv| |partialDenominators|
+ |mkIntegral| |host| |showTheFTable| |palgextint| |linearElement|
+ |infix| |pushFortranOutputStack| |halfExtendedSubResultantGcd1|
+ |integralBasisAtInfinity| |leftRemainder| |minset| |BasicMethod|
+ |noncommutativeJordanAlgebra?| |tanintegrate| |supRittWu?| |sequences|
+ |exp| |collectUpper| |intcompBasis| |output| |iitanh|
+ |popFortranOutputStack| |sinhIfCan| |setOrder| |key| |quoted?|
+ |startTableGcd!| |littleEndian| |imports| |coord| |outputAsFortran|
+ |check| |partialQuotients| |constDsolve| |coerceL| |ParCondList|
+ |figureUnits| |toseLastSubResultant| |ratPoly| |quasiMonicPolynomials|
+ |linearPolynomials| |in?| |hclf| |filename| |numerator| |ReduceOrder|
+ |lastSubResultantEuclidean| |infieldint| |difference|
+ |lazyPseudoQuotient| |singRicDE| |even?| |purelyAlgebraic?|
+ |createMultiplicationTable| |checkRur| |create3Space| |belong?| |kmax|
+ |s17acf| |Aleph| |prolateSpheroidal| |SFunction| |s17dgf|
+ |symmetricSquare| |prime| |recip| |close!| |regularRepresentation|
+ |moreAlgebraic?| |s17dcf| |monicModulo| |basisOfRightAnnihilator|
+ |internal?| |constantLeft| |sortConstraints| |scopes| |tablePow|
+ |tubeRadius| |minPol| |putGraph| |environment| |invertibleElseSplit?|
+ |singularitiesOf| |singularAtInfinity?| |indicialEquationAtInfinity|
+ |GospersMethod| |varList| |tableForDiscreteLogarithm| |pushdterm|
+ |insertRoot!| |sn| |SturmHabichtCoefficients| |besselJ|
+ |printingInfo?| |d01bbf| |supersub| |leftRank| |univariate?|
+ |universe| |discriminantEuclidean| |exprHasAlgebraicWeight| |formula|
+ |unitNormal| |leftOne| |mightHaveRoots| |macroExpand| |mesh?| |s18adf|
+ |Gamma| |sylvesterSequence| |pushup| |filterWhile| |perspective|
+ |mainMonomials| |aCubic| |localUnquote| |rewriteIdealWithRemainder|
+ |coth2tanh| |exists?| |zeroDim?| |charpol| |property| |multiset|
+ |filterUntil| |quasiRegular?| |genericLeftTraceForm|
+ |removeSquaresIfCan| |writeLine!| |logpart| |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
diff --git a/src/share/algebra/interp.daase b/src/share/algebra/interp.daase
index fa116f7c..8203c678 100644
--- a/src/share/algebra/interp.daase
+++ b/src/share/algebra/interp.daase
@@ -1,5467 +1,5467 @@
-(3471143 . 3488491140)
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+(3471536 . 3488813797)
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NIL
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NIL
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NIL
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NIL
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(((-25) . T) ((-102) . T) ((-631 (-885)) . T) ((-1130) . T) ((-1247) . T))
((* (($ (-949) $) 10 T ELT)))
(((-24 |#1|) (-10 -8 (-15 * (|#1| (-949) |#1|))) (-25)) (T -24))
NIL
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NIL
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(((-27) (-141)) (T -27))
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(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-420 (-577))) . T) ((-38 $) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 $ $) . T) ((-132) . T) ((-634 #0#) . T) ((-634 (-577)) . T) ((-634 $) . T) ((-631 (-885)) . T) ((-174) . T) ((-249) . T) ((-301) . T) ((-318) . T) ((-375) . T) ((-465) . T) ((-569) . T) ((-667 #0#) . T) ((-667 (-577)) . T) ((-667 $) . T) ((-669 #0#) . T) ((-669 $) . T) ((-661 #0#) . T) ((-661 $) . T) ((-738 #0#) . T) ((-738 $) . T) ((-747) . T) ((-948) . T) ((-1032) . T) ((-1081 #0#) . T) ((-1081 $) . T) ((-1086 #0#) . T) ((-1086 $) . T) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1247) . T) ((-1251) . T))
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NIL
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NIL
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NIL
(((-98) (-141)) (T -98))
NIL
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-NIL
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NIL
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NIL
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(((-195) (-808)) (T -195))
NIL
(-808)
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(((-196) (-808)) (T -196))
NIL
(-808)
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(((-197) (-808)) (T -197))
NIL
(-808)
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(((-198) (-808)) (T -198))
NIL
(-808)
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(((-199) (-808)) (T -199))
NIL
(-808)
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(((-200) (-808)) (T -200))
NIL
(-808)
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(((-201) (-808)) (T -201))
NIL
(-808)
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(((-202) (-808)) (T -202))
NIL
(-808)
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(((-203) (-808)) (T -203))
NIL
(-808)
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(((-204) (-808)) (T -204))
NIL
(-808)
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(((-205) (-808)) (T -205))
NIL
(-808)
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(((-208) (-821)) (T -208))
NIL
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(((-209) (-821)) (T -209))
NIL
(-821)
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NIL
(-821)
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(((-211) (-821)) (T -211))
NIL
(-821)
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NIL
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NIL
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NIL
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NIL
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NIL
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+NIL
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NIL
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NIL
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NIL
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NIL
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NIL
(-860)
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NIL
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NIL
(-860)
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NIL
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-NIL
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NIL
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(((-527 |#1| |#1|) . T))
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NIL
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NIL
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NIL
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NIL
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(((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-634 (-577)) . T) ((-634 |#1|) . T) ((-631 (-885)) . T) ((-667 (-577)) . T) ((-667 |#1|) . T) ((-667 $) . T) ((-669 |#1|) . T) ((-669 $) . T) ((-661 |#1|) . T) ((-738 |#1|) . T) ((-747) . T) ((-1081 |#1|) . T) ((-1086 |#1|) . T) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1247) . T))
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-NIL
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(((-400) (-141)) (T -400))
NIL
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(((-401) (-402)) (T -401))
NIL
(-402)
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(((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-634 (-577)) . T) ((-634 |#1|) . T) ((-631 (-885)) . T) ((-382 |#1| |#2|) . T) ((-667 (-577)) . T) ((-667 |#1|) . T) ((-667 $) . T) ((-669 |#1|) . T) ((-669 $) . T) ((-661 |#1|) . T) ((-738 |#1|) . T) ((-747) . T) ((-1081 |#1|) . T) ((-1086 |#1|) . T) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1247) . T))
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NIL
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(((-424 |#1|) (-141) (-1247)) (T -424))
NIL
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NIL
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NIL
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NIL
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(((-175) . T))
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NIL
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(((-569) (-141)) (T -569))
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(((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-102) . T) ((-111 $ $) . T) ((-132) . T) ((-634 (-577)) . T) ((-634 $) . T) ((-631 (-885)) . T) ((-174) . T) ((-301) . T) ((-667 (-577)) . T) ((-667 $) . T) ((-669 $) . T) ((-661 $) . T) ((-738 $) . T) ((-747) . T) ((-1081 $) . T) ((-1086 $) . T) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1247) . T))
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|var| (-1206)) (|:| |fn| (-327 (-228))) (|:| -3433 (-1124 (-864 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (|:| -2727 (-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| (-1187 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -3433 (-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 (-572)))) (-2740 (*1 *2 *3) (|partial| -12 (-5 *3 (-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228))) (|:| 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(-228)) (|:| |relerr| (-228)))) (|:| -2727 (-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| (-1187 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -3433 (-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 (-572)))) (-2086 (*1 *1 *2) (-12 (-5 *2 (-665 (-2 (|:| -4376 (-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228))) (|:| -3433 (-1124 (-864 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (|:| -2727 (-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| (-1187 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -3433 (-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 (-572)))) (-4001 (*1 *2 *1) (-12 (-5 *2 (-665 (-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228))) (|:| -3433 (-1124 (-864 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228))))) (-5 *1 (-572)))) (-2241 (*1 *2) (-12 (-5 *2 (-1302)) (-5 *1 (-572)))) (-3289 (*1 *1) (-5 *1 (-572))))
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NIL
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NIL
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NIL
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(((-102) . T) ((-1247) . T))
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-NIL
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NIL
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NIL
(-13 (-111 |t#1| |t#1|) (-661 |t#1|))
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(((-741) (-141)) (T -741))
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(((-102) . T) ((-631 (-885)) . T) ((-1130) . T) ((-1247) . T))
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NIL
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(((-812) (-141)) (T -812))
NIL
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(((-813) (-141)) (T -813))
NIL
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(((-815) (-141)) (T -815))
NIL
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(((-839 |#1|) (-276 |#1|) (-870)) (T -839))
NIL
(-276 |#1|)
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(((-841) (-141)) (T -841))
NIL
(-13 (-569) (-869))
(((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-102) . T) ((-111 $ $) . T) ((-132) . T) ((-634 (-577)) . T) ((-634 $) . T) ((-631 (-885)) . T) ((-174) . T) ((-301) . T) ((-569) . T) ((-667 (-577)) . T) ((-667 $) . T) ((-669 $) . T) ((-661 $) . T) ((-738 $) . T) ((-747) . T) ((-812) . T) ((-813) . T) ((-815) . T) ((-816) . T) ((-869) . T) ((-870) . T) ((-873) . T) ((-1081 $) . T) ((-1086 $) . T) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1247) . T))
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(((-867) (-141)) (T -867))
NIL
(-13 (-880) (-747))
(((-102) . T) ((-631 (-885)) . T) ((-747) . T) ((-880) . T) ((-870) . T) ((-873) . T) ((-1142) . T) ((-1130) . T) ((-1247) . T))
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NIL
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(((-869) (-141)) (T -869))
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(((-870) (-141)) (T -870))
NIL
(-13 (-1130) (-873))
(((-102) . T) ((-631 (-885)) . T) ((-873) . T) ((-1130) . T) ((-1247) . T))
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NIL
(-13 (-873) (-503 |#1|) (-10 -7 (IF (|has| |#1| (-631 (-885))) (-6 (-631 (-885))) |%noBranch|)))
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NIL
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(((-873) (-141)) (T -873))
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(((-102) . T) ((-1247) . T))
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NIL
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NIL
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+NIL
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(((-1003 |#1| |#2| |#3|) (-141) (-1079) (-813) (-870)) (T -1003))
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(((-1004) (-141)) (T -1004))
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(((-631 (-885)) . T))
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NIL
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NIL
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(((-636 |#1|) . T))
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NIL
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(((-34) . T) ((-102) . T) ((-631 (-885)) . T) ((-152 |#1|) . T) ((-632 (-549)) |has| |#1| (-632 (-549))) ((-320 |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) ((-502 |#1|) . T) ((-527 |#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1130))) ((-1130) . T) ((-1247) . T))
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NIL
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NIL
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NIL
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NIL
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T) ((-297 |#2| $) -12 (|has| |#1| (-375)) (|has| |#2| (-297 |#2| |#2|))) ((-297 $ $) |has| (-577) (-1142)) ((-301) -2867 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-320 |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-375) |has| |#1| (-375)) ((-350 |#2|) |has| |#1| (-375)) ((-389 |#2|) |has| |#1| (-375)) ((-413 |#2|) |has| |#1| (-375)) ((-465) |has| |#1| (-375)) ((-506) |has| |#1| (-38 (-420 (-577)))) ((-527 (-1206) |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-527 (-1206) |#2|))) ((-527 |#2| |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-569) -2867 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-667 #1#) -2867 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-667 (-577)) . T) ((-667 |#1|) . T) ((-667 |#2|) |has| |#1| (-375)) ((-667 $) . T) ((-669 #1#) -2867 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-669 #3=(-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-659 (-577)))) ((-669 |#1|) . T) ((-669 |#2|) |has| |#1| (-375)) ((-669 $) . T) ((-661 #1#) -2867 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-661 |#1|) |has| |#1| (-174)) ((-661 |#2|) |has| |#1| (-375)) ((-661 $) -2867 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-659 #3#) -12 (|has| |#1| (-375)) (|has| |#2| (-659 (-577)))) ((-659 |#2|) |has| |#1| (-375)) ((-738 #1#) -2867 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-738 |#1|) |has| |#1| (-174)) ((-738 |#2|) |has| |#1| (-375)) ((-738 $) -2867 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-747) . T) ((-812) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-813) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-815) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-816) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-841) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-869) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-870) -2867 (-12 (|has| |#1| (-375)) (|has| |#2| (-870))) (-12 (|has| |#1| (-375)) (|has| |#2| (-841)))) ((-873) -2867 (-12 (|has| |#1| (-375)) (|has| |#2| (-870))) (-12 (|has| |#1| (-375)) (|has| |#2| (-841)))) ((-920 $ #4=(-1206)) -2867 (-12 (|has| |#1| (-375)) (|has| |#2| (-928 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))) ((-926 (-1206)) -2867 (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))) ((-928 #4#) -2867 (-12 (|has| |#1| (-375)) (|has| |#2| (-928 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))) ((-910 (-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-910 (-391)))) ((-910 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-910 (-577)))) ((-908 |#2|) |has| |#1| (-375)) ((-937) -12 (|has| |#1| (-375)) (|has| |#2| (-937))) ((-1003 |#1| #0# (-1112)) . T) ((-948) |has| |#1| (-375)) ((-1022 |#2|) |has| |#1| (-375)) ((-1032) |has| |#1| (-38 (-420 (-577)))) ((-1052) -12 (|has| |#1| (-375)) (|has| |#2| (-1052))) ((-1068 (-420 (-577))) -12 (|has| |#1| (-375)) (|has| |#2| (-1068 (-577)))) ((-1068 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-1068 (-577)))) ((-1068 #2#) -12 (|has| |#1| (-375)) (|has| |#2| (-1068 (-1206)))) ((-1068 |#2|) . T) ((-1081 #1#) -2867 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1081 |#1|) . T) ((-1081 |#2|) |has| |#1| (-375)) ((-1081 $) -2867 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1086 #1#) -2867 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1086 |#1|) . T) ((-1086 |#2|) |has| |#1| (-375)) ((-1086 $) -2867 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1182) -12 (|has| |#1| (-375)) (|has| |#2| (-1182))) ((-1232) |has| |#1| (-38 (-420 (-577)))) ((-1235) |has| |#1| (-38 (-420 (-577)))) ((-1247) . T) ((-1251) |has| |#1| (-375)) ((-1257 |#1|) . T) ((-1275 |#1| #0#) . T))
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T) ((-634 $) -2816 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-631 (-885)) . T) ((-174) -2816 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-632 (-228)) -12 (|has| |#1| (-375)) (|has| |#2| (-1052))) ((-632 (-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-1052))) ((-632 (-549)) -12 (|has| |#1| (-375)) (|has| |#2| (-632 (-549)))) ((-632 (-916 (-391))) -12 (|has| |#1| (-375)) (|has| |#2| (-632 (-916 (-391))))) ((-632 (-916 (-577))) -12 (|has| |#1| (-375)) (|has| |#2| (-632 (-916 (-577))))) ((-235 $) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-238))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-233 |#2|) |has| |#1| (-375)) ((-239) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-238) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-238))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-273 |#2|) |has| |#1| (-375)) ((-249) |has| |#1| (-375)) ((-295) |has| |#1| (-38 (-420 (-577)))) ((-297 #0# |#1|) . T) ((-297 |#2| $) -12 (|has| |#1| (-375)) (|has| |#2| (-297 |#2| |#2|))) ((-297 $ $) |has| (-577) (-1142)) ((-301) -2816 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-320 |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-375) |has| |#1| (-375)) ((-350 |#2|) |has| |#1| (-375)) ((-389 |#2|) |has| |#1| (-375)) ((-413 |#2|) |has| |#1| (-375)) ((-465) |has| |#1| (-375)) ((-506) |has| |#1| (-38 (-420 (-577)))) ((-527 (-1206) |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-527 (-1206) |#2|))) ((-527 |#2| |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-569) -2816 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-667 #1#) -2816 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-667 (-577)) . T) ((-667 |#1|) . T) ((-667 |#2|) |has| |#1| (-375)) ((-667 $) . T) ((-669 #1#) -2816 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-669 #3=(-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-659 (-577)))) ((-669 |#1|) . T) ((-669 |#2|) |has| |#1| (-375)) ((-669 $) . T) ((-661 #1#) -2816 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-661 |#1|) |has| |#1| (-174)) ((-661 |#2|) |has| |#1| (-375)) ((-661 $) -2816 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-659 #3#) -12 (|has| |#1| (-375)) (|has| |#2| (-659 (-577)))) ((-659 |#2|) |has| |#1| (-375)) ((-738 #1#) -2816 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-738 |#1|) |has| |#1| (-174)) ((-738 |#2|) |has| |#1| (-375)) ((-738 $) -2816 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-747) . T) ((-812) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-813) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-815) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-816) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-841) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-869) -12 (|has| |#1| (-375)) (|has| |#2| (-841))) ((-870) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-870))) (-12 (|has| |#1| (-375)) (|has| |#2| (-841)))) ((-873) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-870))) (-12 (|has| |#1| (-375)) (|has| |#2| (-841)))) ((-920 $ #4=(-1206)) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-928 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))) ((-926 (-1206)) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))) ((-928 #4#) -2816 (-12 (|has| |#1| (-375)) (|has| |#2| (-928 (-1206)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-926 (-1206)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-926 (-1206))))) ((-910 (-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-910 (-391)))) ((-910 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-910 (-577)))) ((-908 |#2|) |has| |#1| (-375)) ((-937) -12 (|has| |#1| (-375)) (|has| |#2| (-937))) ((-1003 |#1| #0# (-1112)) . T) ((-948) |has| |#1| (-375)) ((-1022 |#2|) |has| |#1| (-375)) ((-1032) |has| |#1| (-38 (-420 (-577)))) ((-1052) -12 (|has| |#1| (-375)) (|has| |#2| (-1052))) ((-1068 (-420 (-577))) -12 (|has| |#1| (-375)) (|has| |#2| (-1068 (-577)))) ((-1068 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-1068 (-577)))) ((-1068 #2#) -12 (|has| |#1| (-375)) (|has| |#2| (-1068 (-1206)))) ((-1068 |#2|) . T) ((-1081 #1#) -2816 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1081 |#1|) . T) ((-1081 |#2|) |has| |#1| (-375)) ((-1081 $) -2816 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1086 #1#) -2816 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1086 |#1|) . T) ((-1086 |#2|) |has| |#1| (-375)) ((-1086 $) -2816 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1182) -12 (|has| |#1| (-375)) (|has| |#2| (-1182))) ((-1232) |has| |#1| (-38 (-420 (-577)))) ((-1235) |has| |#1| (-38 (-420 (-577)))) ((-1247) . T) ((-1251) |has| |#1| (-375)) ((-1257 |#1|) . T) ((-1275 |#1| #0#) . T))
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-NIL
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+(((-21) . T) ((-23) . T) ((-47 |#1| #0=(-792)) . T) ((-25) . T) ((-38 #1=(-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-420 (-577)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-634 #1#) -2816 (|has| |#1| (-1068 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577))))) ((-634 (-577)) . T) ((-634 #2=(-1112)) . T) ((-634 |#1|) . T) ((-634 $) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-631 (-885)) . T) ((-174) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-632 (-549)) -12 (|has| (-1112) (-632 (-549))) (|has| |#1| (-632 (-549)))) ((-632 (-916 (-391))) -12 (|has| (-1112) (-632 (-916 (-391)))) (|has| |#1| (-632 (-916 (-391))))) ((-632 (-916 (-577))) -12 (|has| (-1112) (-632 (-916 (-577)))) (|has| |#1| (-632 (-916 (-577))))) ((-235 $) . T) ((-233 |#1|) . T) ((-239) . T) ((-238) . T) ((-273 |#1|) . T) ((-297 (-420 $) (-420 $)) |has| |#1| (-569)) ((-297 |#1| |#1|) . T) ((-297 $ $) . T) ((-301) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-320 $) . T) ((-337 |#1| #0#) . T) ((-389 |#1|) . T) ((-424 |#1|) . T) ((-465) -2816 (|has| |#1| (-937)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-527 #2# |#1|) . T) ((-527 #2# $) . T) ((-527 $ $) . T) ((-569) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-667 #1#) |has| |#1| (-38 (-420 (-577)))) ((-667 (-577)) . T) ((-667 |#1|) . T) ((-667 $) . T) ((-669 #1#) |has| |#1| (-38 (-420 (-577)))) ((-669 #3=(-577)) |has| |#1| (-659 (-577))) ((-669 |#1|) . T) ((-669 $) . T) ((-661 #1#) |has| |#1| (-38 (-420 (-577)))) ((-661 |#1|) |has| |#1| (-174)) ((-661 $) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-659 #3#) |has| |#1| (-659 (-577))) ((-659 |#1|) . T) ((-738 #1#) |has| |#1| (-38 (-420 (-577)))) ((-738 |#1|) |has| |#1| (-174)) ((-738 $) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-747) . T) ((-920 $ #2#) . T) ((-920 $ #4=(-1206)) -2816 (|has| |#1| (-928 (-1206))) (|has| |#1| (-926 (-1206)))) ((-926 #2#) . T) ((-926 (-1206)) |has| |#1| (-926 (-1206))) ((-928 #2#) . T) ((-928 #4#) -2816 (|has| |#1| (-928 (-1206))) (|has| |#1| (-926 (-1206)))) ((-910 (-391)) -12 (|has| (-1112) (-910 (-391))) (|has| |#1| (-910 (-391)))) ((-910 (-577)) -12 (|has| (-1112) (-910 (-577))) (|has| |#1| (-910 (-577)))) ((-977 |#1| #0# #2#) . T) ((-937) |has| |#1| (-937)) ((-948) |has| |#1| (-375)) ((-1068 (-420 (-577))) |has| |#1| (-1068 (-420 (-577)))) ((-1068 (-577)) |has| |#1| (-1068 (-577))) ((-1068 #2#) . T) ((-1068 |#1|) . T) ((-1081 #1#) |has| |#1| (-38 (-420 (-577)))) ((-1081 |#1|) . T) ((-1081 $) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1086 #1#) |has| |#1| (-38 (-420 (-577)))) ((-1086 |#1|) . T) ((-1086 $) -2816 (|has| |#1| (-937)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1079) . T) ((-1088) . T) ((-1142) . T) ((-1130) . T) ((-1182) |has| |#1| (-1182)) ((-1247) . T) ((-1251) |has| |#1| (-937)))
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+NIL
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NIL
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NIL
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(((-1326 |#1|) (-13 (-174) (-380) (-632 (-577)) (-1182)) (-949)) (T -1326))
NIL
(-13 (-174) (-380) (-632 (-577)) (-1182))
@@ -5477,4 +5477,4 @@ NIL
NIL
NIL
NIL
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T T) -9 NIL 3447435 NIL) (-1317 3441249 3443820 3444208 "XPBWPOLY" 3444961 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1316 3436518 3439225 3439267 "XF" 3439888 NIL XF (NIL T) -9 NIL 3440288 NIL) (-1315 3436115 3436227 3436396 "XF-" 3436401 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1314 3431007 3432586 3432641 "XFALG" 3434813 NIL XFALG (NIL T T) -9 NIL 3435602 NIL) (-1313 3430122 3430244 3430449 "XEXPPKG" 3430899 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1312 3427863 3429972 3430068 "XDPOLY" 3430073 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1311 3426518 3427256 3427299 "XALG" 3427304 NIL XALG (NIL T) -9 NIL 3427415 NIL) (-1310 3419428 3424495 3424989 "WUTSET" 3426110 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1309 3417530 3418480 3418803 "WP" 3419239 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1308 3417078 3417352 3417422 "WHILEAST" 3417482 T WHILEAST (NIL) -8 NIL NIL NIL) (-1307 3416490 3416795 3416889 "WHEREAST" 3417006 T WHEREAST (NIL) -8 NIL NIL NIL) (-1306 3415364 3415574 3415869 "WFFINTBS" 3416287 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1305 3413232 3413695 3414157 "WEIER" 3414936 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1304 3412156 3412714 3412756 "VSPACE" 3412892 NIL VSPACE (NIL T) -9 NIL 3412966 NIL) (-1303 3411988 3412021 3412112 "VSPACE-" 3412117 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1302 3411785 3411839 3411907 "VOID" 3411942 T VOID (NIL) -8 NIL NIL NIL) (-1301 3409885 3410280 3410686 "VIEW" 3411401 T VIEW (NIL) -7 NIL NIL NIL) (-1300 3406153 3406948 3407685 "VIEWDEF" 3409170 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1299 3395097 3397701 3399874 "VIEW3D" 3404002 T VIEW3D (NIL) -8 NIL NIL NIL) (-1298 3387114 3389008 3390587 "VIEW2D" 3393540 T VIEW2D (NIL) -8 NIL NIL NIL) (-1297 3382020 3386884 3386976 "VECTOR" 3387057 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1296 3380573 3380856 3381174 "VECTOR2" 3381750 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1295 3373527 3378277 3378320 "VECTCAT" 3379315 NIL VECTCAT (NIL T) -9 NIL 3379902 NIL) (-1294 3372469 3372795 3373185 "VECTCAT-" 3373190 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1293 3371875 3372120 3372240 "VARIABLE" 3372384 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1292 3371808 3371813 3371843 "UTYPE" 3371848 T UTYPE (NIL) -9 NIL NIL NIL) (-1291 3370616 3370792 3371054 "UTSODETL" 3371634 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1290 3368008 3368516 3369040 "UTSODE" 3370157 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1289 3359318 3365769 3366249 "UTS" 3367586 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1288 3349325 3355251 3355294 "UTSCAT" 3356406 NIL UTSCAT (NIL T) -9 NIL 3357164 NIL) (-1287 3346451 3347395 3348384 "UTSCAT-" 3348389 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1286 3346072 3346121 3346254 "UTS2" 3346402 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1285 3339939 3342882 3342925 "URAGG" 3344995 NIL URAGG (NIL T) -9 NIL 3345718 NIL) (-1284 3336662 3337741 3338864 "URAGG-" 3338869 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1283 3332031 3335297 3335762 "UPXSSING" 3336326 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1282 3323509 3331413 3331677 "UPXS" 3331825 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1281 3315924 3323413 3323485 "UPXSCONS" 3323490 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1280 3304672 3312126 3312188 "UPXSCCA" 3312762 NIL UPXSCCA (NIL T T) -9 NIL 3312995 NIL) (-1279 3304292 3304395 3304569 "UPXSCCA-" 3304574 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1278 3292940 3300119 3300162 "UPXSCAT" 3300810 NIL UPXSCAT (NIL T) -9 NIL 3301419 NIL) (-1277 3292364 3292449 3292628 "UPXS2" 3292855 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1276 3291000 3291271 3291622 "UPSQFREE" 3292107 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1275 3283828 3287266 3287321 "UPSCAT" 3288401 NIL UPSCAT (NIL T T) -9 NIL 3289167 NIL) (-1274 3282984 3283239 3283566 "UPSCAT-" 3283571 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1273 3267118 3276111 3276154 "UPOLYC" 3278255 NIL UPOLYC (NIL T) -9 NIL 3279476 NIL) (-1272 3257966 3260872 3264019 "UPOLYC-" 3264024 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1271 3257587 3257636 3257769 "UPOLYC2" 3257917 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1270 3248162 3257270 3257399 "UP" 3257506 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1269 3247483 3247608 3247772 "UPMP" 3248051 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1268 3247030 3247117 3247256 "UPDIVP" 3247396 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1267 3245568 3245847 3246163 "UPDECOMP" 3246779 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1266 3244781 3244911 3245097 "UPCDEN" 3245452 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1265 3244294 3244369 3244518 "UP2" 3244706 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1264 3242647 3243498 3243775 "UNISEG" 3244052 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1263 3241852 3241989 3242194 "UNISEG2" 3242490 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1262 3240894 3241092 3241318 "UNIFACT" 3241668 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1261 3222704 3240206 3240448 "ULS" 3240710 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1260 3209414 3222608 3222680 "ULSCONS" 3222685 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1259 3189214 3202494 3202556 "ULSCCAT" 3203194 NIL ULSCCAT (NIL T T) -9 NIL 3203483 NIL) (-1258 3188210 3188509 3188897 "ULSCCAT-" 3188902 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1257 3176655 3183756 3183799 "ULSCAT" 3184662 NIL ULSCAT (NIL T) -9 NIL 3185393 NIL) (-1256 3176079 3176164 3176343 "ULS2" 3176570 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1255 3175090 3175708 3175815 "UINT8" 3175926 T UINT8 (NIL) -8 NIL NIL 3176011) (-1254 3174100 3174718 3174825 "UINT64" 3174936 T UINT64 (NIL) -8 NIL NIL 3175021) (-1253 3173110 3173728 3173835 "UINT32" 3173946 T UINT32 (NIL) -8 NIL NIL 3174031) (-1252 3172120 3172738 3172845 "UINT16" 3172956 T UINT16 (NIL) -8 NIL NIL 3173041) (-1251 3170199 3171366 3171396 "UFD" 3171608 T UFD (NIL) -9 NIL 3171722 NIL) (-1250 3169981 3170039 3170134 "UFD-" 3170139 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1249 3169039 3169246 3169462 "UDVO" 3169787 T UDVO (NIL) -7 NIL NIL NIL) (-1248 3166805 3167264 3167735 "UDPO" 3168603 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1247 3166738 3166743 3166773 "TYPE" 3166778 T TYPE (NIL) -9 NIL NIL NIL) (-1246 3166450 3166693 3166724 "TYPEAST" 3166729 T TYPEAST (NIL) -8 NIL NIL NIL) (-1245 3165403 3165623 3165863 "TWOFACT" 3166244 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1244 3164378 3164812 3165047 "TUPLE" 3165203 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1243 3162015 3162588 3163127 "TUBETOOL" 3163861 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1242 3160821 3161062 3161304 "TUBE" 3161808 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1241 3155000 3159793 3160076 "TS" 3160573 NIL TS (NIL T) -8 NIL NIL NIL) (-1240 3143142 3147757 3147854 "TSETCAT" 3153123 NIL TSETCAT (NIL T T T T) -9 NIL 3154655 NIL) (-1239 3137610 3139474 3141365 "TSETCAT-" 3141370 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1238 3132083 3133096 3134025 "TRMANIP" 3136746 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1237 3131512 3131587 3131750 "TRIMAT" 3132015 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1236 3129324 3129615 3129972 "TRIGMNIP" 3131261 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1235 3128808 3128957 3128987 "TRIGCAT" 3129200 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1234 3128453 3128556 3128697 "TRIGCAT-" 3128702 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1233 3125067 3127311 3127592 "TREE" 3128207 NIL TREE (NIL T) -8 NIL NIL NIL) (-1232 3124173 3124869 3124899 "TRANFUN" 3124934 T TRANFUN (NIL) -9 NIL 3125000 NIL) (-1231 3123392 3123643 3123923 "TRANFUN-" 3123928 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1230 3123190 3123228 3123289 "TOPSP" 3123353 T TOPSP (NIL) -7 NIL NIL NIL) (-1229 3122520 3122653 3122807 "TOOLSIGN" 3123071 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1228 3121034 3121697 3121936 "TEXTFILE" 3122303 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1227 3118838 3119487 3119916 "TEX" 3120627 T TEX (NIL) -8 NIL NIL NIL) (-1226 3118613 3118650 3118722 "TEX1" 3118801 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1225 3118249 3118324 3118414 "TEMUTL" 3118545 T TEMUTL (NIL) -7 NIL NIL NIL) (-1224 3116343 3116683 3117008 "TBCMPPK" 3117972 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1223 3107670 3114429 3114485 "TBAGG" 3114885 NIL TBAGG (NIL T T) -9 NIL 3115096 NIL) (-1222 3102554 3104228 3105982 "TBAGG-" 3105987 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1221 3101920 3102045 3102190 "TANEXP" 3102443 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1220 3101371 3101695 3101785 "TALGOP" 3101865 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1219 3094385 3101228 3101321 "TABLE" 3101326 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1218 3093779 3093896 3094034 "TABLEAU" 3094282 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1217 3088309 3089607 3090855 "TABLBUMP" 3092565 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1216 3087519 3087678 3087859 "SYSTEM" 3088150 T SYSTEM (NIL) -8 NIL NIL NIL) (-1215 3083924 3084677 3085460 "SYSSOLP" 3086770 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1214 3083686 3083879 3083910 "SYSPTR" 3083915 T SYSPTR (NIL) -8 NIL NIL NIL) (-1213 3082521 3083213 3083339 "SYSNNI" 3083525 NIL SYSNNI (NIL NIL) -8 NIL NIL 3083617) (-1212 3081724 3082279 3082358 "SYSINT" 3082418 NIL SYSINT (NIL NIL) -8 NIL NIL 3082463) (-1211 3077822 3079002 3079712 "SYNTAX" 3081036 T SYNTAX (NIL) -8 NIL NIL NIL) (-1210 3074902 3075582 3076214 "SYMTAB" 3077212 T SYMTAB (NIL) -8 NIL NIL NIL) (-1209 3070001 3071053 3072036 "SYMS" 3073941 T SYMS (NIL) -8 NIL NIL NIL) (-1208 3066900 3069452 3069685 "SYMPOLY" 3069803 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1207 3066405 3066492 3066615 "SYMFUNC" 3066812 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1206 3062203 3063717 3064530 "SYMBOL" 3065614 T SYMBOL (NIL) -8 NIL NIL NIL) (-1205 3055676 3057431 3059151 "SWITCH" 3060505 T SWITCH (NIL) -8 NIL NIL NIL) (-1204 3048430 3054632 3054926 "SUTS" 3055440 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1203 3039908 3047812 3048076 "SUPXS" 3048224 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1202 3030431 3039526 3039652 "SUP" 3039817 NIL SUP (NIL T) -8 NIL NIL NIL) (-1201 3029578 3029717 3029934 "SUPFRACF" 3030299 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1200 3029193 3029258 3029371 "SUP2" 3029513 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1199 3027617 3027915 3028271 "SUMRF" 3028892 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1198 3026940 3027018 3027210 "SUMFS" 3027538 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1197 3008785 3026252 3026494 "SULS" 3026756 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1196 3008333 3008607 3008677 "SUCHTAST" 3008737 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1195 3007574 3007858 3007998 "SUCH" 3008241 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1194 3001213 3002480 3003439 "SUBSPACE" 3006662 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1193 3000633 3000733 3000897 "SUBRESP" 3001101 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1192 2993827 2995298 2996609 "STTF" 2999369 NIL STTF (NIL T) -7 NIL NIL NIL) (-1191 2987838 2989120 2990267 "STTFNC" 2992727 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1190 2978955 2981020 2982814 "STTAYLOR" 2986079 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1189 2971709 2978819 2978902 "STRTBL" 2978907 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1188 2966106 2971418 2971517 "STRING" 2971632 T STRING (NIL) -8 NIL NIL NIL) (-1187 2958216 2963725 2964336 "STREAM" 2965530 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1186 2957720 2957803 2957947 "STREAM3" 2958133 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1185 2956684 2956885 2957120 "STREAM2" 2957533 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1184 2956366 2956424 2956517 "STREAM1" 2956626 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1183 2955358 2955563 2955794 "STINPROD" 2956182 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1182 2954854 2955106 2955136 "STEP" 2955216 T STEP (NIL) -9 NIL 2955294 NIL) (-1181 2953969 2954343 2954491 "STEPAST" 2954728 T STEPAST (NIL) -8 NIL NIL NIL) (-1180 2947025 2953868 2953945 "STBL" 2953950 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1179 2941583 2946188 2946231 "STAGG" 2946384 NIL STAGG (NIL T) -9 NIL 2946473 NIL) (-1178 2939135 2939887 2940759 "STAGG-" 2940764 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1177 2937107 2938905 2938997 "STACK" 2939078 NIL STACK (NIL T) -8 NIL NIL NIL) (-1176 2929114 2935248 2935704 "SREGSET" 2936737 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1175 2921461 2922908 2924421 "SRDCMPK" 2927720 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1174 2913770 2918820 2918850 "SRAGG" 2920153 T SRAGG (NIL) -9 NIL 2920761 NIL) (-1173 2912721 2913042 2913421 "SRAGG-" 2913426 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1172 2906305 2911668 2912089 "SQMATRIX" 2912347 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1171 2899717 2903023 2903750 "SPLTREE" 2905650 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1170 2895542 2896373 2897019 "SPLNODE" 2899143 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1169 2894517 2894822 2894852 "SPFCAT" 2895296 T SPFCAT (NIL) -9 NIL NIL NIL) (-1168 2893212 2893464 2893728 "SPECOUT" 2894275 T SPECOUT (NIL) -7 NIL NIL NIL) (-1167 2883858 2886176 2886206 "SPADXPT" 2890884 T SPADXPT (NIL) -9 NIL 2893050 NIL) (-1166 2883613 2883659 2883728 "SPADPRSR" 2883811 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1165 2881216 2883568 2883599 "SPADAST" 2883604 T SPADAST (NIL) -8 NIL NIL NIL) (-1164 2872817 2874920 2874963 "SPACEC" 2879336 NIL SPACEC (NIL T) -9 NIL 2881152 NIL) (-1163 2870617 2872749 2872798 "SPACE3" 2872803 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1162 2869349 2869540 2869831 "SORTPAK" 2870422 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1161 2867411 2867744 2868156 "SOLVETRA" 2869013 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1160 2866449 2866683 2866944 "SOLVESER" 2867184 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1159 2861681 2862641 2863636 "SOLVERAD" 2865501 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1158 2857406 2858105 2858834 "SOLVEFOR" 2861048 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1157 2851017 2856754 2856851 "SNTSCAT" 2856856 NIL SNTSCAT (NIL T T T T) -9 NIL 2856926 NIL) (-1156 2844561 2849340 2849731 "SMTS" 2850707 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1155 2838276 2844449 2844526 "SMP" 2844531 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1154 2836405 2836736 2837134 "SMITH" 2837973 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1153 2827937 2832984 2833087 "SMATCAT" 2834438 NIL SMATCAT (NIL NIL T T T) -9 NIL 2834988 NIL) (-1152 2824709 2825700 2826878 "SMATCAT-" 2826883 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1151 2822178 2823917 2823960 "SKAGG" 2824221 NIL SKAGG (NIL T) -9 NIL 2824356 NIL) (-1150 2817672 2821651 2821835 "SINT" 2821987 T SINT (NIL) -8 NIL NIL 2822149) (-1149 2817438 2817482 2817548 "SIMPAN" 2817628 T SIMPAN (NIL) -7 NIL NIL NIL) (-1148 2816663 2816973 2817113 "SIG" 2817320 T SIG (NIL) -8 NIL NIL NIL) (-1147 2815483 2815722 2815997 "SIGNRF" 2816422 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1146 2814298 2814467 2814751 "SIGNEF" 2815312 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1145 2813538 2813881 2814005 "SIGAST" 2814196 T SIGAST (NIL) -8 NIL NIL NIL) (-1144 2811190 2811682 2812188 "SHP" 2813079 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1143 2804563 2811091 2811167 "SHDP" 2811172 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1142 2804074 2804314 2804344 "SGROUP" 2804437 T SGROUP (NIL) -9 NIL 2804499 NIL) (-1141 2803926 2803958 2804031 "SGROUP-" 2804036 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1140 2800645 2801415 2802138 "SGCF" 2803225 T SGCF (NIL) -7 NIL NIL NIL) (-1139 2794354 2800091 2800188 "SFRTCAT" 2800193 NIL SFRTCAT (NIL T T T T) -9 NIL 2800232 NIL) (-1138 2787673 2788793 2789929 "SFRGCD" 2793337 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1137 2780691 2781872 2783058 "SFQCMPK" 2786606 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1136 2780293 2780400 2780511 "SFORT" 2780632 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1135 2779219 2780133 2780254 "SEXOF" 2780259 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1134 2778134 2779100 2779168 "SEX" 2779173 T SEX (NIL) -8 NIL NIL NIL) (-1133 2773723 2774630 2774725 "SEXCAT" 2777347 NIL SEXCAT (NIL T T T T T) -9 NIL 2777907 NIL) (-1132 2770532 2773657 2773705 "SET" 2773710 NIL SET (NIL T) -8 NIL NIL NIL) (-1131 2768654 2769245 2769550 "SETMN" 2770273 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1130 2768184 2768372 2768402 "SETCAT" 2768519 T SETCAT (NIL) -9 NIL 2768604 NIL) (-1129 2767952 2768016 2768115 "SETCAT-" 2768120 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1128 2764055 2766413 2766456 "SETAGG" 2767326 NIL SETAGG (NIL T) -9 NIL 2767666 NIL) (-1127 2763477 2763629 2763866 "SETAGG-" 2763871 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1126 2762860 2763173 2763274 "SEQAST" 2763398 T SEQAST (NIL) -8 NIL NIL NIL) (-1125 2761987 2762353 2762414 "SEGXCAT" 2762700 NIL SEGXCAT (NIL T T) -9 NIL 2762820 NIL) (-1124 2760903 2761653 2761835 "SEG" 2761840 NIL SEG (NIL T) -8 NIL NIL NIL) (-1123 2759828 2760096 2760139 "SEGCAT" 2760661 NIL SEGCAT (NIL T) -9 NIL 2760882 NIL) (-1122 2758718 2759191 2759399 "SEGBIND" 2759655 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1121 2758333 2758398 2758511 "SEGBIND2" 2758653 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1120 2757852 2758134 2758211 "SEGAST" 2758278 T SEGAST (NIL) -8 NIL NIL NIL) (-1119 2757061 2757197 2757401 "SEG2" 2757696 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1118 2756294 2756996 2757043 "SDVAR" 2757048 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1117 2747645 2756064 2756194 "SDPOL" 2756199 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1116 2746214 2746504 2746823 "SCPKG" 2747360 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1115 2745336 2745550 2745742 "SCOPE" 2746044 T SCOPE (NIL) -8 NIL NIL NIL) (-1114 2744532 2744690 2744869 "SCACHE" 2745191 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1113 2744116 2744350 2744380 "SASTCAT" 2744385 T SASTCAT (NIL) -9 NIL 2744398 NIL) (-1112 2743519 2743951 2744027 "SAOS" 2744062 T SAOS (NIL) -8 NIL NIL NIL) (-1111 2743078 2743119 2743292 "SAERFFC" 2743478 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1110 2736105 2742975 2743055 "SAE" 2743060 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1109 2735692 2735733 2735892 "SAEFACT" 2736064 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1108 2733995 2734327 2734728 "RURPK" 2735358 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1107 2732572 2732938 2733243 "RULESET" 2733829 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1106 2729687 2730325 2730783 "RULE" 2732253 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1105 2729257 2729481 2729564 "RULECOLD" 2729639 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1104 2729041 2729075 2729146 "RTVALUE" 2729208 T RTVALUE (NIL) -8 NIL NIL NIL) (-1103 2728452 2728758 2728852 "RSTRCAST" 2728969 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1102 2723222 2724095 2725015 "RSETGCD" 2727651 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1101 2711793 2717530 2717627 "RSETCAT" 2721746 NIL RSETCAT (NIL T T T T) -9 NIL 2722843 NIL) (-1100 2709612 2710259 2711083 "RSETCAT-" 2711088 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1099 2701920 2703374 2704894 "RSDCMPK" 2708211 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1098 2699789 2700352 2700426 "RRCC" 2701512 NIL RRCC (NIL T T) -9 NIL 2701856 NIL) (-1097 2699110 2699314 2699593 "RRCC-" 2699598 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1096 2698493 2698806 2698907 "RPTAST" 2699031 T RPTAST (NIL) -8 NIL NIL NIL) (-1095 2670879 2681605 2681672 "RPOLCAT" 2692338 NIL RPOLCAT (NIL T T T) -9 NIL 2695498 NIL) (-1094 2661849 2664717 2667839 "RPOLCAT-" 2667844 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1093 2652302 2660060 2660542 "ROUTINE" 2661389 T ROUTINE (NIL) -8 NIL NIL NIL) (-1092 2648351 2651928 2652068 "ROMAN" 2652184 T ROMAN (NIL) -8 NIL NIL NIL) (-1091 2646463 2647211 2647471 "ROIRC" 2648156 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1090 2642181 2644952 2644982 "RNS" 2645286 T RNS (NIL) -9 NIL 2645560 NIL) (-1089 2640588 2641073 2641607 "RNS-" 2641682 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1088 2639881 2640385 2640415 "RNG" 2640420 T RNG (NIL) -9 NIL 2640441 NIL) (-1087 2638842 2639246 2639448 "RNGBIND" 2639732 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1086 2638137 2638615 2638658 "RMODULE" 2638663 NIL RMODULE (NIL T) -9 NIL 2638690 NIL) (-1085 2636961 2637067 2637403 "RMCAT2" 2638038 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1084 2633463 2636307 2636604 "RMATRIX" 2636723 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1083 2625962 2628550 2628665 "RMATCAT" 2632024 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2633006 NIL) (-1082 2625301 2625484 2625791 "RMATCAT-" 2625796 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1081 2624874 2625088 2625131 "RLINSET" 2625193 NIL RLINSET (NIL T) -9 NIL 2625237 NIL) (-1080 2624435 2624516 2624644 "RINTERP" 2624793 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1079 2623359 2624033 2624063 "RING" 2624119 T RING (NIL) -9 NIL 2624211 NIL) (-1078 2623139 2623195 2623292 "RING-" 2623297 NIL RING- (NIL T) -8 NIL NIL NIL) (-1077 2621950 2622217 2622475 "RIDIST" 2622903 T RIDIST (NIL) -7 NIL NIL NIL) (-1076 2612575 2621418 2621624 "RGCHAIN" 2621798 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1075 2611833 2612317 2612358 "RGBCSPC" 2612416 NIL RGBCSPC (NIL T) -9 NIL 2612468 NIL) (-1074 2610899 2611358 2611399 "RGBCMDL" 2611631 NIL RGBCMDL (NIL T) -9 NIL 2611745 NIL) (-1073 2607839 2608507 2609177 "RF" 2610263 NIL RF (NIL T) -7 NIL NIL NIL) (-1072 2607479 2607548 2607651 "RFFACTOR" 2607770 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1071 2607198 2607239 2607336 "RFFACT" 2607438 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1070 2605249 2605679 2606061 "RFDIST" 2606838 T RFDIST (NIL) -7 NIL NIL NIL) (-1069 2604696 2604794 2604957 "RETSOL" 2605151 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1068 2604314 2604412 2604455 "RETRACT" 2604588 NIL RETRACT (NIL T) -9 NIL 2604675 NIL) (-1067 2604157 2604188 2604275 "RETRACT-" 2604280 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1066 2603705 2603979 2604049 "RETAST" 2604109 T RETAST (NIL) -8 NIL NIL NIL) (-1065 2596055 2603358 2603485 "RESULT" 2603600 T RESULT (NIL) -8 NIL NIL NIL) (-1064 2594490 2595324 2595523 "RESRING" 2595958 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1063 2594114 2594175 2594273 "RESLATC" 2594427 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1062 2593813 2593854 2593961 "REPSQ" 2594073 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1061 2591193 2591815 2592417 "REP" 2593233 T REP (NIL) -7 NIL NIL NIL) (-1060 2590884 2590925 2591036 "REPDB" 2591152 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1059 2584716 2586173 2587396 "REP2" 2589696 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1058 2581019 2581774 2582582 "REP1" 2583943 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1057 2573027 2579160 2579616 "REGSET" 2580649 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1056 2571736 2572175 2572425 "REF" 2572812 NIL REF (NIL T) -8 NIL NIL NIL) (-1055 2571101 2571216 2571383 "REDORDER" 2571620 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1054 2566465 2570314 2570541 "RECLOS" 2570929 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1053 2565499 2565698 2565913 "REALSOLV" 2566272 T REALSOLV (NIL) -7 NIL NIL NIL) (-1052 2565333 2565386 2565416 "REAL" 2565421 T REAL (NIL) -9 NIL 2565456 NIL) (-1051 2561780 2562618 2563502 "REAL0Q" 2564498 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1050 2557333 2558369 2559430 "REAL0" 2560761 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1049 2556744 2557050 2557144 "RDUCEAST" 2557261 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1048 2556143 2556221 2556428 "RDIV" 2556666 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1047 2555193 2555385 2555598 "RDIST" 2555965 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1046 2553778 2554077 2554449 "RDETRS" 2554901 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1045 2551572 2552044 2552582 "RDETR" 2553320 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1044 2550191 2550475 2550872 "RDEEFS" 2551288 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1043 2548694 2549006 2549431 "RDEEF" 2549879 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1042 2542171 2545648 2545678 "RCFIELD" 2546973 T RCFIELD (NIL) -9 NIL 2547704 NIL) (-1041 2540127 2540739 2541435 "RCFIELD-" 2541510 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1040 2536179 2538200 2538243 "RCAGG" 2539327 NIL RCAGG (NIL T) -9 NIL 2539792 NIL) (-1039 2535789 2535901 2536064 "RCAGG-" 2536069 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1038 2535106 2535236 2535401 "RATRET" 2535673 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1037 2534647 2534726 2534847 "RATFACT" 2535034 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1036 2533925 2534075 2534227 "RANDSRC" 2534517 T RANDSRC (NIL) -7 NIL NIL NIL) (-1035 2533653 2533703 2533776 "RADUTIL" 2533874 T RADUTIL (NIL) -7 NIL NIL NIL) (-1034 2525777 2532484 2532795 "RADIX" 2533376 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1033 2515371 2525619 2525749 "RADFF" 2525754 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1032 2515000 2515093 2515123 "RADCAT" 2515283 T RADCAT (NIL) -9 NIL NIL NIL) (-1031 2514770 2514830 2514930 "RADCAT-" 2514935 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1030 2512681 2514540 2514632 "QUEUE" 2514713 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1029 2508520 2512614 2512662 "QUAT" 2512667 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1028 2508145 2508194 2508325 "QUATCT2" 2508471 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1027 2500521 2504568 2504610 "QUATCAT" 2505401 NIL QUATCAT (NIL T) -9 NIL 2506167 NIL) (-1026 2496402 2497697 2499087 "QUATCAT-" 2499183 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1025 2493658 2495450 2495493 "QUAGG" 2495874 NIL QUAGG (NIL T) -9 NIL 2496049 NIL) (-1024 2493206 2493480 2493550 "QQUTAST" 2493610 T QQUTAST (NIL) -8 NIL NIL NIL) (-1023 2492117 2492719 2492884 "QFORM" 2493087 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1022 2481793 2487964 2488006 "QFCAT" 2488674 NIL QFCAT (NIL T) -9 NIL 2489675 NIL) (-1021 2477108 2478561 2480155 "QFCAT-" 2480251 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1020 2476733 2476782 2476913 "QFCAT2" 2477059 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1019 2476164 2476298 2476430 "QEQUAT" 2476623 T QEQUAT (NIL) -8 NIL NIL NIL) (-1018 2469182 2470363 2471549 "QCMPACK" 2475097 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1017 2466632 2467168 2467598 "QALGSET" 2468837 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1016 2465861 2466043 2466279 "QALGSET2" 2466450 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1015 2464528 2464770 2465089 "PWFFINTB" 2465634 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1014 2462673 2462871 2463227 "PUSHVAR" 2464342 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1013 2458400 2459616 2459659 "PTRANFN" 2461570 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1012 2456737 2457082 2457406 "PTPACK" 2458111 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1011 2456360 2456423 2456534 "PTFUNC2" 2456674 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1010 2450285 2455149 2455192 "PTCAT" 2455492 NIL PTCAT (NIL T) -9 NIL 2455645 NIL) (-1009 2449934 2449975 2450101 "PSQFR" 2450244 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1008 2448506 2448822 2449158 "PSEUDLIN" 2449632 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1007 2435026 2437601 2439927 "PSETPK" 2446266 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1006 2427734 2430762 2430860 "PSETCAT" 2433901 NIL PSETCAT (NIL T T T T) -9 NIL 2434715 NIL) (-1005 2425459 2426201 2427025 "PSETCAT-" 2427030 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1004 2424772 2424967 2424997 "PSCURVE" 2425269 T PSCURVE (NIL) -9 NIL 2425436 NIL) (-1003 2420488 2422262 2422329 "PSCAT" 2423181 NIL PSCAT (NIL T T T) -9 NIL 2423421 NIL) (-1002 2419482 2419764 2420167 "PSCAT-" 2420172 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-1001 2417681 2418541 2418806 "PRTITION" 2419239 T PRTITION (NIL) -8 NIL NIL NIL) (-1000 2417092 2417398 2417492 "PRTDAST" 2417609 T PRTDAST (NIL) -8 NIL NIL NIL) (-999 2405974 2408396 2410584 "PRS" 2414954 NIL PRS (NIL T T) -7 NIL NIL NIL) (-998 2403594 2405296 2405336 "PRQAGG" 2405519 NIL PRQAGG (NIL T) -9 NIL 2405621 NIL) (-997 2402864 2403235 2403263 "PROPLOG" 2403402 T PROPLOG (NIL) -9 NIL 2403517 NIL) (-996 2402462 2402525 2402648 "PROPFUN2" 2402787 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-995 2401759 2401898 2402070 "PROPFUN1" 2402323 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-994 2399820 2400506 2400803 "PROPFRML" 2401495 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-993 2399265 2399396 2399524 "PROPERTY" 2399712 T PROPERTY (NIL) -8 NIL NIL NIL) (-992 2393153 2397431 2398251 "PRODUCT" 2398491 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-991 2390111 2392611 2392845 "PR" 2392964 NIL PR (NIL T T) -8 NIL NIL NIL) (-990 2389901 2389939 2389998 "PRINT" 2390072 T PRINT (NIL) -7 NIL NIL NIL) (-989 2389217 2389358 2389510 "PRIMES" 2389781 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-988 2387264 2387683 2388149 "PRIMELT" 2388796 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-987 2386981 2387042 2387070 "PRIMCAT" 2387194 T PRIMCAT (NIL) -9 NIL NIL NIL) (-986 2382703 2386919 2386964 "PRIMARR" 2386969 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-985 2381692 2381888 2382116 "PRIMARR2" 2382521 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-984 2381329 2381391 2381502 "PREASSOC" 2381630 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-983 2380780 2380937 2380965 "PPCURVE" 2381170 T PPCURVE (NIL) -9 NIL 2381306 NIL) (-982 2380327 2380575 2380658 "PORTNUM" 2380717 T PORTNUM (NIL) -8 NIL NIL NIL) (-981 2377664 2378085 2378677 "POLYROOT" 2379908 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-980 2370872 2377268 2377428 "POLY" 2377537 NIL POLY (NIL T) -8 NIL NIL NIL) (-979 2370249 2370313 2370547 "POLYLIFT" 2370808 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-978 2366470 2366973 2367602 "POLYCATQ" 2369794 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-977 2352118 2358217 2358282 "POLYCAT" 2361796 NIL POLYCAT (NIL T T T) -9 NIL 2363674 NIL) (-976 2345237 2347429 2349813 "POLYCAT-" 2349818 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-975 2344818 2344892 2345012 "POLY2UP" 2345163 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-974 2344444 2344507 2344616 "POLY2" 2344755 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-973 2343105 2343368 2343644 "POLUTIL" 2344218 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-972 2341424 2341737 2342068 "POLTOPOL" 2342827 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-971 2336420 2341358 2341405 "POINT" 2341410 NIL POINT (NIL T) -8 NIL NIL NIL) (-970 2334553 2334964 2335339 "PNTHEORY" 2336065 T PNTHEORY (NIL) -7 NIL NIL NIL) (-969 2332999 2333308 2333707 "PMTOOLS" 2334251 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-968 2332586 2332670 2332787 "PMSYM" 2332915 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-967 2332088 2332163 2332338 "PMQFCAT" 2332511 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-966 2331431 2331553 2331709 "PMPRED" 2331965 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-965 2330812 2330910 2331072 "PMPREDFS" 2331332 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-964 2329466 2329684 2330062 "PMPLCAT" 2330574 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-963 2328992 2329077 2329229 "PMLSAGG" 2329381 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-962 2328459 2328541 2328723 "PMKERNEL" 2328910 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-961 2328070 2328151 2328264 "PMINS" 2328378 NIL PMINS (NIL T) -7 NIL NIL NIL) (-960 2327506 2327581 2327790 "PMFS" 2327995 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-959 2326722 2326852 2327057 "PMDOWN" 2327383 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-958 2325865 2326047 2326228 "PMASS" 2326561 T PMASS (NIL) -7 NIL NIL NIL) (-957 2325114 2325248 2325411 "PMASSFS" 2325752 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-956 2324763 2324837 2324931 "PLOTTOOL" 2325040 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-955 2319184 2320574 2321722 "PLOT" 2323635 T PLOT (NIL) -8 NIL NIL NIL) (-954 2314836 2316030 2316952 "PLOT3D" 2318282 T PLOT3D (NIL) -8 NIL NIL NIL) (-953 2313724 2313925 2314160 "PLOT1" 2314640 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-952 2288899 2293790 2298641 "PLEQN" 2308990 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-951 2288205 2288339 2288519 "PINTERP" 2288764 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-950 2287892 2287945 2288048 "PINTERPA" 2288152 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-949 2286988 2287656 2287743 "PI" 2287783 T PI (NIL) -8 NIL NIL 2287850) (-948 2285073 2286246 2286274 "PID" 2286456 T PID (NIL) -9 NIL 2286590 NIL) (-947 2284818 2284861 2284936 "PICOERCE" 2285030 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-946 2284126 2284277 2284453 "PGROEB" 2284674 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-945 2279565 2280524 2281430 "PGE" 2283240 T PGE (NIL) -7 NIL NIL NIL) (-944 2277646 2277935 2278301 "PGCD" 2279282 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-943 2276972 2277087 2277248 "PFRPAC" 2277530 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-942 2273222 2275520 2275873 "PFR" 2276651 NIL PFR (NIL T) -8 NIL NIL NIL) (-941 2271575 2271855 2272180 "PFOTOOLS" 2272969 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-940 2270090 2270347 2270698 "PFOQ" 2271332 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-939 2268573 2268803 2269159 "PFO" 2269874 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-938 2264498 2268462 2268531 "PF" 2268536 NIL PF (NIL NIL) -8 NIL NIL NIL) (-937 2261576 2263089 2263117 "PFECAT" 2263702 T PFECAT (NIL) -9 NIL 2264086 NIL) (-936 2261003 2261175 2261389 "PFECAT-" 2261394 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-935 2259576 2259858 2260159 "PFBRU" 2260752 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-934 2257406 2257794 2258226 "PFBR" 2259227 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-933 2253208 2254915 2255563 "PERM" 2256791 NIL PERM (NIL T) -8 NIL NIL NIL) (-932 2248262 2249415 2250285 "PERMGRP" 2252371 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-931 2246174 2247286 2247327 "PERMCAT" 2247727 NIL PERMCAT (NIL T) -9 NIL 2248025 NIL) (-930 2245821 2245868 2245992 "PERMAN" 2246127 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-929 2243062 2245486 2245608 "PENDTREE" 2245732 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-928 2241943 2242206 2242247 "PDSPC" 2242780 NIL PDSPC (NIL T) -9 NIL 2243025 NIL) (-927 2240998 2241264 2241626 "PDSPC-" 2241631 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-926 2239712 2240648 2240689 "PDRING" 2240694 NIL PDRING (NIL T) -9 NIL 2240722 NIL) (-925 2238455 2239217 2239271 "PDMOD" 2239276 NIL PDMOD (NIL T T) -9 NIL 2239380 NIL) (-924 2235622 2236448 2237116 "PDEPROB" 2237807 T PDEPROB (NIL) -8 NIL NIL NIL) (-923 2233131 2233671 2234226 "PDEPACK" 2235087 T PDEPACK (NIL) -7 NIL NIL NIL) (-922 2232019 2232233 2232484 "PDECOMP" 2232930 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-921 2229536 2230427 2230455 "PDECAT" 2231242 T PDECAT (NIL) -9 NIL 2231955 NIL) (-920 2229153 2229220 2229274 "PDDOM" 2229439 NIL PDDOM (NIL T T) -9 NIL 2229519 NIL) (-919 2228966 2229002 2229109 "PDDOM-" 2229114 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-918 2228711 2228750 2228840 "PCOMP" 2228927 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-917 2226751 2227512 2227809 "PBWLB" 2228440 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-916 2218930 2220824 2222162 "PATTERN" 2225434 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-915 2218556 2218619 2218728 "PATTERN2" 2218867 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-914 2216265 2216701 2217158 "PATTERN1" 2218145 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-913 2213531 2214214 2214695 "PATRES" 2215830 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-912 2213089 2213162 2213294 "PATRES2" 2213458 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-911 2210942 2211377 2211784 "PATMATCH" 2212756 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-910 2210396 2210647 2210688 "PATMAB" 2210795 NIL PATMAB (NIL T) -9 NIL 2210878 NIL) (-909 2208842 2209250 2209508 "PATLRES" 2210201 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-908 2208380 2208511 2208552 "PATAB" 2208557 NIL PATAB (NIL T) -9 NIL 2208729 NIL) (-907 2206520 2206957 2207380 "PARTPERM" 2207977 T PARTPERM (NIL) -7 NIL NIL NIL) (-906 2206129 2206204 2206306 "PARSURF" 2206451 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-905 2205755 2205818 2205927 "PARSU2" 2206066 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-904 2205513 2205559 2205626 "PARSER" 2205708 T PARSER (NIL) -7 NIL NIL NIL) (-903 2205122 2205197 2205299 "PARSCURV" 2205444 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-902 2204748 2204811 2204920 "PARSC2" 2205059 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-901 2204375 2204445 2204542 "PARPCURV" 2204684 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-900 2204001 2204064 2204173 "PARPC2" 2204312 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-899 2202990 2203374 2203556 "PARAMAST" 2203839 T PARAMAST (NIL) -8 NIL NIL NIL) (-898 2202498 2202596 2202715 "PAN2EXPR" 2202891 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-897 2201191 2201619 2201847 "PALETTE" 2202290 T PALETTE (NIL) -8 NIL NIL NIL) (-896 2199536 2200196 2200556 "PAIR" 2200877 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-895 2192448 2198793 2198988 "PADICRC" 2199390 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-894 2184684 2191792 2191977 "PADICRAT" 2192295 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-893 2182693 2184621 2184666 "PADIC" 2184671 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-892 2179483 2181353 2181393 "PADICCT" 2181974 NIL PADICCT (NIL NIL) -9 NIL 2182256 NIL) (-891 2178428 2178640 2178908 "PADEPAC" 2179270 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-890 2177628 2177773 2177979 "PADE" 2178290 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-889 2175861 2176836 2177116 "OWP" 2177432 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-888 2175306 2175567 2175664 "OVERSET" 2175784 T OVERSET (NIL) -8 NIL NIL NIL) (-887 2174226 2174911 2175083 "OVAR" 2175174 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-886 2173466 2173611 2173772 "OUT" 2174085 T OUT (NIL) -7 NIL NIL NIL) (-885 2161702 2164575 2166775 "OUTFORM" 2171286 T OUTFORM (NIL) -8 NIL NIL NIL) (-884 2160984 2161299 2161426 "OUTBFILE" 2161595 T OUTBFILE (NIL) -8 NIL NIL NIL) (-883 2160261 2160456 2160484 "OUTBCON" 2160802 T OUTBCON (NIL) -9 NIL 2160968 NIL) (-882 2159844 2159974 2160131 "OUTBCON-" 2160136 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-881 2159140 2159573 2159662 "OSI" 2159775 T OSI (NIL) -8 NIL NIL NIL) (-880 2158559 2158981 2159009 "OSGROUP" 2159014 T OSGROUP (NIL) -9 NIL 2159036 NIL) (-879 2157270 2157531 2157816 "ORTHPOL" 2158306 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-878 2154521 2157105 2157226 "OREUP" 2157231 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-877 2151624 2154212 2154339 "ORESUP" 2154463 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-876 2149124 2149652 2150213 "OREPCTO" 2151113 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-875 2142502 2144997 2145038 "OREPCAT" 2147386 NIL OREPCAT (NIL T) -9 NIL 2148490 NIL) (-874 2139475 2140431 2141489 "OREPCAT-" 2141494 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-873 2138668 2138945 2138973 "ORDTYPE" 2139282 T ORDTYPE (NIL) -9 NIL 2139445 NIL) (-872 2137969 2138185 2138440 "ORDTYPE-" 2138445 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-871 2137325 2137708 2137866 "ORDSTRCT" 2137871 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-870 2136823 2137193 2137221 "ORDSET" 2137226 T ORDSET (NIL) -9 NIL 2137248 NIL) (-869 2135181 2136152 2136180 "ORDRING" 2136382 T ORDRING (NIL) -9 NIL 2136507 NIL) (-868 2134802 2134920 2135064 "ORDRING-" 2135069 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-867 2134053 2134618 2134646 "ORDMON" 2134651 T ORDMON (NIL) -9 NIL 2134672 NIL) (-866 2133197 2133362 2133557 "ORDFUNS" 2133902 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-865 2132412 2132927 2132955 "ORDFIN" 2133020 T ORDFIN (NIL) -9 NIL 2133094 NIL) (-864 2128759 2130998 2131407 "ORDCOMP" 2132036 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-863 2128013 2128152 2128338 "ORDCOMP2" 2128619 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-862 2124534 2125504 2126318 "OPTPROB" 2127219 T OPTPROB (NIL) -8 NIL NIL NIL) (-861 2121276 2121975 2122679 "OPTPACK" 2123850 T OPTPACK (NIL) -7 NIL NIL NIL) (-860 2118889 2119715 2119743 "OPTCAT" 2120562 T OPTCAT (NIL) -9 NIL 2121212 NIL) (-859 2118207 2118566 2118671 "OPSIG" 2118804 T OPSIG (NIL) -8 NIL NIL NIL) (-858 2117969 2118014 2118080 "OPQUERY" 2118161 T OPQUERY (NIL) -7 NIL NIL NIL) (-857 2114878 2116280 2116784 "OP" 2117498 NIL OP (NIL T) -8 NIL NIL NIL) (-856 2114184 2114464 2114505 "OPERCAT" 2114717 NIL OPERCAT (NIL T) -9 NIL 2114814 NIL) (-855 2113927 2113995 2114112 "OPERCAT-" 2114117 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-854 2110540 2112724 2113093 "ONECOMP" 2113591 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-853 2109833 2109960 2110134 "ONECOMP2" 2110412 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-852 2109234 2109358 2109488 "OMSERVER" 2109723 T OMSERVER (NIL) -7 NIL NIL NIL) (-851 2105748 2108674 2108714 "OMSAGG" 2108775 NIL OMSAGG (NIL T) -9 NIL 2108839 NIL) (-850 2104323 2104634 2104916 "OMPKG" 2105486 T OMPKG (NIL) -7 NIL NIL NIL) (-849 2103729 2103856 2103884 "OM" 2104183 T OM (NIL) -9 NIL NIL NIL) (-848 2102076 2103278 2103447 "OMLO" 2103610 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-847 2101012 2101183 2101403 "OMEXPR" 2101902 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-846 2100249 2100558 2100694 "OMERR" 2100896 T OMERR (NIL) -8 NIL NIL NIL) (-845 2099334 2099670 2099830 "OMERRK" 2100109 T OMERRK (NIL) -8 NIL NIL NIL) (-844 2098725 2099011 2099119 "OMENC" 2099246 T OMENC (NIL) -8 NIL NIL NIL) (-843 2092362 2093805 2094976 "OMDEV" 2097574 T OMDEV (NIL) -8 NIL NIL NIL) (-842 2091395 2091602 2091796 "OMCONN" 2092188 T OMCONN (NIL) -8 NIL NIL NIL) (-841 2089673 2090865 2090893 "OINTDOM" 2090898 T OINTDOM (NIL) -9 NIL 2090919 NIL) (-840 2086747 2088361 2088698 "OFMONOID" 2089368 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-839 2085981 2086684 2086729 "ODVAR" 2086734 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-838 2083118 2085726 2085881 "ODR" 2085886 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-837 2074523 2082894 2083020 "ODPOL" 2083025 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-836 2067866 2074395 2074500 "ODP" 2074505 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-835 2066608 2066847 2067122 "ODETOOLS" 2067640 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-834 2063551 2064233 2064949 "ODESYS" 2065941 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-833 2058381 2059341 2060366 "ODERTRIC" 2062626 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-832 2057801 2057889 2058083 "ODERED" 2058293 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-831 2054653 2055237 2055914 "ODERAT" 2057224 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-830 2051570 2052077 2052674 "ODEPRRIC" 2054182 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-829 2049465 2050109 2050595 "ODEPROB" 2051104 T ODEPROB (NIL) -8 NIL NIL NIL) (-828 2045931 2046470 2047117 "ODEPRIM" 2048944 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-827 2045174 2045282 2045542 "ODEPAL" 2045823 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-826 2041276 2042127 2042991 "ODEPACK" 2044330 T ODEPACK (NIL) -7 NIL NIL NIL) (-825 2040319 2040444 2040666 "ODEINT" 2041165 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-824 2034384 2035845 2037292 "ODEIFTBL" 2038892 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-823 2029734 2030568 2031520 "ODEEF" 2033543 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-822 2029077 2029172 2029395 "ODECONST" 2029639 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-821 2027140 2027849 2027877 "ODECAT" 2028482 T ODECAT (NIL) -9 NIL 2029013 NIL) (-820 2023633 2026845 2026967 "OCT" 2027050 NIL OCT (NIL T) -8 NIL NIL NIL) (-819 2023265 2023314 2023441 "OCTCT2" 2023584 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-818 2017534 2020308 2020348 "OC" 2021445 NIL OC (NIL T) -9 NIL 2022303 NIL) (-817 2014569 2015509 2016499 "OC-" 2016593 NIL OC- (NIL T T) -8 NIL NIL NIL) (-816 2013792 2014362 2014390 "OCAMON" 2014395 T OCAMON (NIL) -9 NIL 2014416 NIL) (-815 2013212 2013637 2013665 "OASGP" 2013670 T OASGP (NIL) -9 NIL 2013690 NIL) (-814 2012338 2012935 2012963 "OAMONS" 2013003 T OAMONS (NIL) -9 NIL 2013046 NIL) (-813 2011629 2012158 2012186 "OAMON" 2012191 T OAMON (NIL) -9 NIL 2012211 NIL) (-812 2010740 2011378 2011406 "OAGROUP" 2011411 T OAGROUP (NIL) -9 NIL 2011431 NIL) (-811 2010422 2010478 2010567 "NUMTUBE" 2010684 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-810 2003941 2005513 2007049 "NUMQUAD" 2008906 T NUMQUAD (NIL) -7 NIL NIL NIL) (-809 1999661 2000685 2001710 "NUMODE" 2002936 T NUMODE (NIL) -7 NIL NIL NIL) (-808 1996942 1997882 1997910 "NUMINT" 1998833 T NUMINT (NIL) -9 NIL 1999597 NIL) (-807 1995854 1996087 1996305 "NUMFMT" 1996744 T NUMFMT (NIL) -7 NIL NIL NIL) (-806 1982037 1985158 1987690 "NUMERIC" 1993361 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-805 1975748 1981485 1981580 "NTSCAT" 1981585 NIL NTSCAT (NIL T T T T) -9 NIL 1981624 NIL) (-804 1974928 1975107 1975300 "NTPOLFN" 1975587 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-803 1961689 1971753 1972565 "NSUP" 1974149 NIL NSUP (NIL T) -8 NIL NIL NIL) (-802 1961315 1961378 1961487 "NSUP2" 1961626 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-801 1950151 1961089 1961222 "NSMP" 1961227 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-800 1948559 1948884 1949241 "NREP" 1949839 NIL NREP (NIL T) -7 NIL NIL NIL) (-799 1947138 1947402 1947760 "NPCOEF" 1948302 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-798 1946186 1946319 1946535 "NORMRETR" 1947019 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-797 1944197 1944517 1944926 "NORMPK" 1945894 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-796 1943876 1943910 1944034 "NORMMA" 1944163 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-795 1943640 1943833 1943862 "NONE" 1943867 T NONE (NIL) -8 NIL NIL NIL) (-794 1943423 1943458 1943527 "NONE1" 1943604 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-793 1942914 1942982 1943161 "NODE1" 1943355 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-792 1941015 1942046 1942301 "NNI" 1942648 T NNI (NIL) -8 NIL NIL 1942883) (-791 1939411 1939748 1940112 "NLINSOL" 1940683 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-790 1935592 1936647 1937546 "NIPROB" 1938532 T NIPROB (NIL) -8 NIL NIL NIL) (-789 1934331 1934583 1934885 "NFINTBAS" 1935354 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-788 1933415 1933981 1934022 "NETCLT" 1934194 NIL NETCLT (NIL T) -9 NIL 1934276 NIL) (-787 1932087 1932354 1932635 "NCODIV" 1933183 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-786 1931843 1931886 1931961 "NCNTFRAC" 1932044 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-785 1929999 1930387 1930807 "NCEP" 1931468 NIL NCEP (NIL T) -7 NIL NIL NIL) (-784 1928662 1929609 1929637 "NASRING" 1929747 T NASRING (NIL) -9 NIL 1929827 NIL) (-783 1928445 1928501 1928595 "NASRING-" 1928600 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-782 1927412 1928063 1928091 "NARNG" 1928208 T NARNG (NIL) -9 NIL 1928299 NIL) (-781 1927086 1927171 1927305 "NARNG-" 1927310 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-780 1925923 1926172 1926407 "NAGSP" 1926871 T NAGSP (NIL) -7 NIL NIL NIL) (-779 1916967 1918879 1920552 "NAGS" 1924270 T NAGS (NIL) -7 NIL NIL NIL) (-778 1915491 1915823 1916154 "NAGF07" 1916656 T NAGF07 (NIL) -7 NIL NIL NIL) (-777 1909963 1911320 1912627 "NAGF04" 1914204 T NAGF04 (NIL) -7 NIL NIL NIL) (-776 1902835 1904545 1906178 "NAGF02" 1908350 T NAGF02 (NIL) -7 NIL NIL NIL) (-775 1897999 1899159 1900276 "NAGF01" 1901738 T NAGF01 (NIL) -7 NIL NIL NIL) (-774 1891579 1893193 1894778 "NAGE04" 1896434 T NAGE04 (NIL) -7 NIL NIL NIL) (-773 1882640 1884869 1886999 "NAGE02" 1889469 T NAGE02 (NIL) -7 NIL NIL NIL) (-772 1878533 1879540 1880504 "NAGE01" 1881696 T NAGE01 (NIL) -7 NIL NIL NIL) (-771 1876310 1876862 1877420 "NAGD03" 1877995 T NAGD03 (NIL) -7 NIL NIL NIL) (-770 1868006 1869988 1871942 "NAGD02" 1874376 T NAGD02 (NIL) -7 NIL NIL NIL) (-769 1861745 1863242 1864682 "NAGD01" 1866586 T NAGD01 (NIL) -7 NIL NIL NIL) (-768 1857882 1858776 1859613 "NAGC06" 1860928 T NAGC06 (NIL) -7 NIL NIL NIL) (-767 1856329 1856679 1857035 "NAGC05" 1857546 T NAGC05 (NIL) -7 NIL NIL NIL) (-766 1855693 1855824 1855968 "NAGC02" 1856205 T NAGC02 (NIL) -7 NIL NIL NIL) (-765 1854494 1855221 1855261 "NAALG" 1855340 NIL NAALG (NIL T) -9 NIL 1855401 NIL) (-764 1854323 1854358 1854448 "NAALG-" 1854453 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-763 1848195 1849381 1850568 "MULTSQFR" 1853219 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-762 1847502 1847589 1847773 "MULTFACT" 1848107 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-761 1839647 1844085 1844138 "MTSCAT" 1845208 NIL MTSCAT (NIL T T) -9 NIL 1845724 NIL) (-760 1839353 1839413 1839505 "MTHING" 1839587 NIL MTHING (NIL T) -7 NIL NIL NIL) (-759 1839139 1839178 1839238 "MSYSCMD" 1839313 T MSYSCMD (NIL) -7 NIL NIL NIL) (-758 1834853 1837894 1838214 "MSET" 1838852 NIL MSET (NIL T) -8 NIL NIL NIL) (-757 1831598 1834414 1834455 "MSETAGG" 1834460 NIL MSETAGG (NIL T) -9 NIL 1834494 NIL) (-756 1827190 1828977 1829722 "MRING" 1830898 NIL MRING (NIL T T) -8 NIL NIL NIL) (-755 1826750 1826823 1826954 "MRF2" 1827117 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-754 1826362 1826403 1826547 "MRATFAC" 1826709 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-753 1823932 1824269 1824700 "MPRFF" 1826067 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-752 1817259 1823786 1823883 "MPOLY" 1823888 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-751 1816743 1816784 1816992 "MPCPF" 1817218 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-750 1816251 1816300 1816484 "MPC3" 1816694 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-749 1815434 1815527 1815748 "MPC2" 1816166 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-748 1813711 1814072 1814462 "MONOTOOL" 1815094 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-747 1812856 1813239 1813267 "MONOID" 1813486 T MONOID (NIL) -9 NIL 1813633 NIL) (-746 1812372 1812521 1812702 "MONOID-" 1812707 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-745 1801326 1808192 1808251 "MONOGEN" 1808925 NIL MONOGEN (NIL T T) -9 NIL 1809381 NIL) (-744 1798376 1799279 1800279 "MONOGEN-" 1800398 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-743 1797093 1797641 1797669 "MONADWU" 1798061 T MONADWU (NIL) -9 NIL 1798299 NIL) (-742 1796423 1796624 1796872 "MONADWU-" 1796877 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-741 1795708 1796012 1796040 "MONAD" 1796247 T MONAD (NIL) -9 NIL 1796359 NIL) (-740 1795375 1795471 1795603 "MONAD-" 1795608 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-739 1793514 1794288 1794567 "MOEBIUS" 1795128 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-738 1792682 1793182 1793222 "MODULE" 1793227 NIL MODULE (NIL T) -9 NIL 1793266 NIL) (-737 1792220 1792346 1792536 "MODULE-" 1792541 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-736 1789750 1790584 1790911 "MODRING" 1792044 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-735 1786472 1787855 1788376 "MODOP" 1789279 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-734 1784958 1785539 1785816 "MODMONOM" 1786335 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-733 1773698 1783249 1783663 "MODMON" 1784595 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-732 1770524 1772542 1772818 "MODFIELD" 1773573 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-731 1769435 1769805 1769995 "MMLFORM" 1770354 T MMLFORM (NIL) -8 NIL NIL NIL) (-730 1768955 1769004 1769183 "MMAP" 1769386 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-729 1766848 1767787 1767828 "MLO" 1768251 NIL MLO (NIL T) -9 NIL 1768493 NIL) (-728 1764196 1764730 1765332 "MLIFT" 1766329 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-727 1763575 1763671 1763825 "MKUCFUNC" 1764107 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-726 1763168 1763244 1763367 "MKRECORD" 1763498 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-725 1762191 1762377 1762605 "MKFUNC" 1762979 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-724 1761567 1761683 1761839 "MKFLCFN" 1762074 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-723 1760832 1760946 1761131 "MKBCFUNC" 1761460 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-722 1756815 1760386 1760522 "MINT" 1760716 T MINT (NIL) -8 NIL NIL NIL) (-721 1755597 1755870 1756147 "MHROWRED" 1756570 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-720 1750341 1754132 1754537 "MFLOAT" 1755212 T MFLOAT (NIL) -8 NIL NIL NIL) (-719 1749686 1749774 1749945 "MFINFACT" 1750253 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-718 1745965 1746849 1747733 "MESH" 1748822 T MESH (NIL) -7 NIL NIL NIL) (-717 1744319 1744667 1745020 "MDDFACT" 1745652 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-716 1740855 1743450 1743491 "MDAGG" 1743746 NIL MDAGG (NIL T) -9 NIL 1743889 NIL) (-715 1728557 1740148 1740355 "MCMPLX" 1740668 T MCMPLX (NIL) -8 NIL NIL NIL) (-714 1727676 1727840 1728041 "MCDEN" 1728406 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-713 1725524 1725836 1726216 "MCALCFN" 1727406 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-712 1724401 1724689 1724922 "MAYBE" 1725330 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-711 1721959 1722536 1723098 "MATSTOR" 1723872 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-710 1717381 1721331 1721579 "MATRIX" 1721744 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-709 1713081 1713854 1714590 "MATLIN" 1716738 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-708 1702427 1706138 1706215 "MATCAT" 1711247 NIL MATCAT (NIL T T T) -9 NIL 1712719 NIL) (-707 1698380 1699690 1701103 "MATCAT-" 1701108 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-706 1696956 1697127 1697460 "MATCAT2" 1698215 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-705 1695032 1695392 1695776 "MAPPKG3" 1696631 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-704 1693989 1694186 1694408 "MAPPKG2" 1694856 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-703 1692446 1692772 1693099 "MAPPKG1" 1693695 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-702 1691447 1691852 1692029 "MAPPAST" 1692289 T MAPPAST (NIL) -8 NIL NIL NIL) (-701 1691052 1691116 1691239 "MAPHACK3" 1691383 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-700 1690632 1690705 1690819 "MAPHACK2" 1690984 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-699 1690058 1690173 1690315 "MAPHACK1" 1690523 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-698 1687981 1688758 1689062 "MAGMA" 1689786 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-697 1687400 1687705 1687796 "MACROAST" 1687910 T MACROAST (NIL) -8 NIL NIL NIL) (-696 1683643 1685639 1686100 "M3D" 1686972 NIL M3D (NIL T) -8 NIL NIL NIL) (-695 1677123 1681954 1681995 "LZSTAGG" 1682777 NIL LZSTAGG (NIL T) -9 NIL 1683072 NIL) (-694 1672805 1674254 1675711 "LZSTAGG-" 1675716 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-693 1669718 1670696 1671183 "LWORD" 1672350 NIL LWORD (NIL T) -8 NIL NIL NIL) (-692 1669240 1669522 1669597 "LSTAST" 1669663 T LSTAST (NIL) -8 NIL NIL NIL) (-691 1661168 1669011 1669145 "LSQM" 1669150 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-690 1660386 1660531 1660759 "LSPP" 1661023 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-689 1658168 1658499 1658955 "LSMP" 1660075 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-688 1654905 1655621 1656351 "LSMP1" 1657470 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-687 1648041 1653995 1654036 "LSAGG" 1654098 NIL LSAGG (NIL T) -9 NIL 1654176 NIL) (-686 1644550 1645660 1646873 "LSAGG-" 1646878 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-685 1641845 1643694 1643943 "LPOLY" 1644345 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-684 1641421 1641512 1641635 "LPEFRAC" 1641754 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-683 1639598 1640515 1640768 "LO" 1641253 NIL LO (NIL T T T) -8 NIL NIL NIL) (-682 1639174 1639348 1639376 "LOGIC" 1639487 T LOGIC (NIL) -9 NIL 1639568 NIL) (-681 1639030 1639059 1639130 "LOGIC-" 1639135 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-680 1638205 1638363 1638556 "LODOOPS" 1638886 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-679 1635300 1638121 1638187 "LODO" 1638192 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-678 1633824 1634073 1634426 "LODOF" 1635047 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-677 1629700 1632459 1632500 "LODOCAT" 1632938 NIL LODOCAT (NIL T) -9 NIL 1633149 NIL) (-676 1629415 1629491 1629618 "LODOCAT-" 1629623 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-675 1626401 1629256 1629374 "LODO2" 1629379 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-674 1623508 1626338 1626383 "LODO1" 1626388 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-673 1622377 1622554 1622859 "LODEEF" 1623331 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-672 1617349 1620543 1620584 "LNAGG" 1621446 NIL LNAGG (NIL T) -9 NIL 1621881 NIL) (-671 1616442 1616710 1617052 "LNAGG-" 1617057 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-670 1612422 1613367 1614006 "LMOPS" 1615857 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-669 1611721 1612199 1612240 "LMODULE" 1612245 NIL LMODULE (NIL T) -9 NIL 1612271 NIL) (-668 1608676 1611366 1611489 "LMDICT" 1611631 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-667 1608252 1608466 1608507 "LLINSET" 1608568 NIL LLINSET (NIL T) -9 NIL 1608612 NIL) (-666 1607897 1608160 1608220 "LITERAL" 1608225 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-665 1600351 1606831 1607135 "LIST" 1607626 NIL LIST (NIL T) -8 NIL NIL NIL) (-664 1599870 1599950 1600089 "LIST3" 1600271 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-663 1598859 1599055 1599283 "LIST2" 1599688 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-662 1596957 1597305 1597704 "LIST2MAP" 1598506 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-661 1596540 1596776 1596817 "LINSET" 1596822 NIL LINSET (NIL T) -9 NIL 1596856 NIL) (-660 1595354 1596048 1596215 "LINFORM" 1596425 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-659 1593653 1594381 1594422 "LINEXP" 1594912 NIL LINEXP (NIL T) -9 NIL 1595185 NIL) (-658 1592229 1593133 1593314 "LINELT" 1593524 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-657 1590786 1591066 1591377 "LINDEP" 1591981 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-656 1589922 1590518 1590628 "LINBASIS" 1590716 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-655 1586659 1587408 1588185 "LIMITRF" 1589177 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-654 1584944 1585258 1585667 "LIMITPS" 1586354 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-653 1578964 1584455 1584683 "LIE" 1584765 NIL LIE (NIL T T) -8 NIL NIL NIL) (-652 1577792 1578367 1578407 "LIECAT" 1578547 NIL LIECAT (NIL T) -9 NIL 1578698 NIL) (-651 1577627 1577660 1577748 "LIECAT-" 1577753 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-650 1569814 1577167 1577323 "LIB" 1577491 T LIB (NIL) -8 NIL NIL NIL) (-649 1565383 1566332 1567267 "LGROBP" 1568931 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-648 1563321 1563655 1564005 "LF" 1565104 NIL LF (NIL T T) -7 NIL NIL NIL) (-647 1561945 1562853 1562881 "LFCAT" 1563088 T LFCAT (NIL) -9 NIL 1563227 NIL) (-646 1558805 1559477 1560165 "LEXTRIPK" 1561309 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-645 1555393 1556375 1556878 "LEXP" 1558385 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-644 1554809 1555114 1555206 "LETAST" 1555321 T LETAST (NIL) -8 NIL NIL NIL) (-643 1553195 1553520 1553921 "LEADCDET" 1554491 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-642 1552373 1552459 1552688 "LAZM3PK" 1553116 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-641 1546884 1550450 1550988 "LAUPOL" 1551885 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-640 1546457 1546507 1546668 "LAPLACE" 1546834 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-639 1544194 1545558 1545809 "LA" 1546290 NIL LA (NIL T T T) -8 NIL NIL NIL) (-638 1543042 1543758 1543799 "LALG" 1543861 NIL LALG (NIL T) -9 NIL 1543920 NIL) (-637 1542738 1542815 1542951 "LALG-" 1542956 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-636 1542567 1542597 1542638 "KVTFROM" 1542700 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-635 1541406 1541934 1542119 "KTVLOGIC" 1542402 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-634 1541235 1541265 1541306 "KRCFROM" 1541368 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-633 1540127 1540326 1540625 "KOVACIC" 1541035 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-632 1539956 1539986 1540027 "KONVERT" 1540089 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-631 1539785 1539815 1539856 "KOERCE" 1539918 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-630 1537472 1538378 1538755 "KERNEL" 1539441 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-629 1536956 1537049 1537181 "KERNEL2" 1537386 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-628 1530427 1535433 1535487 "KDAGG" 1535864 NIL KDAGG (NIL T T) -9 NIL 1536070 NIL) (-627 1529938 1530080 1530285 "KDAGG-" 1530290 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-626 1522638 1529599 1529754 "KAFILE" 1529816 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-625 1522242 1522527 1522590 "JVMOP" 1522595 T JVMOP (NIL) -8 NIL NIL NIL) (-624 1520978 1521482 1521731 "JVMMDACC" 1522013 T JVMMDACC (NIL) -8 NIL NIL NIL) (-623 1519914 1520368 1520573 "JVMFDACC" 1520793 T JVMFDACC (NIL) -8 NIL NIL NIL) (-622 1518495 1518990 1519290 "JVMCSTTG" 1519634 T JVMCSTTG (NIL) -8 NIL NIL NIL) (-621 1517631 1518035 1518196 "JVMCFACC" 1518354 T JVMCFACC (NIL) -8 NIL NIL NIL) (-620 1517309 1517548 1517597 "JVMBCODE" 1517602 T JVMBCODE (NIL) -8 NIL NIL NIL) (-619 1511329 1516820 1517048 "JORDAN" 1517130 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1510642 1510978 1511099 "JOINAST" 1511228 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1506677 1508819 1508873 "IXAGG" 1509802 NIL IXAGG (NIL T T) -9 NIL 1510261 NIL) (-616 1505530 1505902 1506321 "IXAGG-" 1506326 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-615 1500619 1505452 1505511 "IVECTOR" 1505516 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-614 1499343 1499622 1499888 "ITUPLE" 1500386 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-613 1497815 1498022 1498317 "ITRIGMNP" 1499165 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-612 1496542 1496764 1497047 "ITFUN3" 1497591 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-611 1496168 1496231 1496340 "ITFUN2" 1496479 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-610 1495273 1495648 1495822 "ITFORM" 1496014 T ITFORM (NIL) -8 NIL NIL NIL) (-609 1493042 1494293 1494571 "ITAYLOR" 1495028 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-608 1481439 1487179 1488342 "ISUPS" 1491912 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-607 1480531 1480683 1480919 "ISUMP" 1481286 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-606 1475381 1480476 1480517 "ISTRING" 1480522 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-605 1474797 1475102 1475194 "ISAST" 1475309 T ISAST (NIL) -8 NIL NIL NIL) (-604 1473994 1474088 1474304 "IRURPK" 1474711 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-603 1472906 1473131 1473371 "IRSN" 1473774 T IRSN (NIL) -7 NIL NIL NIL) (-602 1470951 1471332 1471761 "IRRF2F" 1472544 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-601 1470692 1470736 1470812 "IRREDFFX" 1470907 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-600 1469265 1469566 1469865 "IROOT" 1470425 NIL IROOT (NIL T) -7 NIL NIL NIL) (-599 1465705 1466949 1467641 "IR" 1468605 NIL IR (NIL T) -8 NIL NIL NIL) (-598 1464844 1465198 1465349 "IRFORM" 1465574 T IRFORM (NIL) -8 NIL NIL NIL) (-597 1462433 1462952 1463518 "IR2" 1464322 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-596 1461515 1461646 1461860 "IR2F" 1462316 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-595 1461300 1461340 1461400 "IPRNTPK" 1461475 T IPRNTPK (NIL) -7 NIL NIL NIL) (-594 1457253 1461189 1461258 "IPF" 1461263 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-593 1455274 1457178 1457235 "IPADIC" 1457240 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-592 1454532 1454834 1454964 "IP4ADDR" 1455164 T IP4ADDR (NIL) -8 NIL NIL NIL) (-591 1453870 1454161 1454293 "IOMODE" 1454420 T IOMODE (NIL) -8 NIL NIL NIL) (-590 1452841 1453467 1453594 "IOBFILE" 1453763 T IOBFILE (NIL) -8 NIL NIL NIL) (-589 1452251 1452745 1452773 "IOBCON" 1452778 T IOBCON (NIL) -9 NIL 1452799 NIL) (-588 1451756 1451820 1452003 "INVLAPLA" 1452187 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-587 1441326 1443758 1446144 "INTTR" 1449420 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-586 1437619 1438403 1439268 "INTTOOLS" 1440511 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-585 1437199 1437296 1437413 "INTSLPE" 1437522 T INTSLPE (NIL) -7 NIL NIL NIL) (-584 1434666 1437122 1437181 "INTRVL" 1437186 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-583 1432244 1432780 1433355 "INTRF" 1434151 NIL INTRF (NIL T) -7 NIL NIL NIL) (-582 1431637 1431752 1431894 "INTRET" 1432142 NIL INTRET (NIL T) -7 NIL NIL NIL) (-581 1429610 1430023 1430493 "INTRAT" 1431245 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-580 1426855 1427456 1428075 "INTPM" 1429095 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-579 1423572 1424199 1424937 "INTPAF" 1426241 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-578 1418673 1419713 1420764 "INTPACK" 1422541 T INTPACK (NIL) -7 NIL NIL NIL) (-577 1414861 1418470 1418579 "INT" 1418584 T INT (NIL) -8 NIL NIL NIL) (-576 1414107 1414265 1414473 "INTHERTR" 1414703 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-575 1413540 1413626 1413814 "INTHERAL" 1414021 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-574 1411308 1411829 1412286 "INTHEORY" 1413103 T INTHEORY (NIL) -7 NIL NIL NIL) (-573 1402640 1404335 1406107 "INTG0" 1409660 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-572 1383165 1388003 1392813 "INTFTBL" 1397850 T INTFTBL (NIL) -8 NIL NIL NIL) (-571 1382390 1382552 1382725 "INTFACT" 1383024 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-570 1379787 1380263 1380820 "INTEF" 1381944 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-569 1377984 1378879 1378907 "INTDOM" 1379208 T INTDOM (NIL) -9 NIL 1379415 NIL) (-568 1377323 1377527 1377769 "INTDOM-" 1377774 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-567 1373197 1375612 1375666 "INTCAT" 1376465 NIL INTCAT (NIL T) -9 NIL 1376786 NIL) (-566 1372651 1372772 1372900 "INTBIT" 1373089 T INTBIT (NIL) -7 NIL NIL NIL) (-565 1371332 1371504 1371811 "INTALG" 1372496 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-564 1370809 1370905 1371062 "INTAF" 1371236 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-563 1363776 1370619 1370759 "INTABL" 1370764 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-562 1363013 1363575 1363640 "INT8" 1363674 T INT8 (NIL) -8 NIL NIL 1363719) (-561 1362249 1362811 1362876 "INT64" 1362910 T INT64 (NIL) -8 NIL NIL 1362955) (-560 1361485 1362047 1362112 "INT32" 1362146 T INT32 (NIL) -8 NIL NIL 1362191) (-559 1360721 1361283 1361348 "INT16" 1361382 T INT16 (NIL) -8 NIL NIL 1361427) (-558 1354822 1358269 1358297 "INS" 1359231 T INS (NIL) -9 NIL 1359896 NIL) (-557 1351876 1352833 1353807 "INS-" 1353880 NIL INS- (NIL T) -8 NIL NIL NIL) (-556 1350633 1350878 1351176 "INPSIGN" 1351629 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-555 1349727 1349868 1350065 "INPRODPF" 1350513 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-554 1348597 1348738 1348975 "INPRODFF" 1349607 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-553 1347585 1347749 1348009 "INNMFACT" 1348433 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-552 1346764 1346879 1347067 "INMODGCD" 1347484 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-551 1345248 1345517 1345841 "INFSP" 1346509 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-550 1344408 1344549 1344732 "INFPROD0" 1345128 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-549 1340975 1342473 1342988 "INFORM" 1343901 T INFORM (NIL) -8 NIL NIL NIL) (-548 1340573 1340645 1340743 "INFORM1" 1340910 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-547 1340078 1340185 1340299 "INFINITY" 1340479 T INFINITY (NIL) -7 NIL NIL NIL) (-546 1339152 1339798 1339899 "INETCLTS" 1339997 T INETCLTS (NIL) -8 NIL NIL NIL) (-545 1337750 1338018 1338339 "INEP" 1338900 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-544 1336811 1337647 1337712 "INDE" 1337717 NIL INDE (NIL T) -8 NIL NIL NIL) (-543 1336363 1336443 1336560 "INCRMAPS" 1336738 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-542 1335085 1335632 1335838 "INBFILE" 1336177 T INBFILE (NIL) -8 NIL NIL NIL) (-541 1330264 1331321 1332265 "INBFF" 1334173 NIL INBFF (NIL T) -7 NIL NIL NIL) (-540 1329118 1329441 1329469 "INBCON" 1329982 T INBCON (NIL) -9 NIL 1330248 NIL) (-539 1328328 1328593 1328869 "INBCON-" 1328874 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-538 1327747 1328052 1328143 "INAST" 1328257 T INAST (NIL) -8 NIL NIL NIL) (-537 1327114 1327426 1327532 "IMPTAST" 1327661 T IMPTAST (NIL) -8 NIL NIL NIL) (-536 1323035 1326958 1327062 "IMATRIX" 1327067 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-535 1321727 1321866 1322182 "IMATQF" 1322891 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-534 1319907 1320174 1320511 "IMATLIN" 1321483 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-533 1313822 1319831 1319889 "ILIST" 1319894 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-532 1311488 1313682 1313795 "IIARRAY2" 1313800 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-531 1306288 1311399 1311463 "IFF" 1311468 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-530 1305569 1305905 1306021 "IFAST" 1306192 T IFAST (NIL) -8 NIL NIL NIL) (-529 1300081 1304861 1305049 "IFARRAY" 1305426 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-528 1299119 1299985 1300058 "IFAMON" 1300063 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-527 1298691 1298768 1298822 "IEVALAB" 1299029 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-526 1298354 1298434 1298594 "IEVALAB-" 1298599 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-525 1297735 1298269 1298331 "IDPO" 1298336 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-524 1296799 1297624 1297699 "IDPOAMS" 1297704 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-523 1295932 1296688 1296763 "IDPOAM" 1296768 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-522 1294412 1294939 1294991 "IDPC" 1295503 NIL IDPC (NIL T T) -9 NIL 1295784 NIL) (-521 1293744 1294304 1294377 "IDPAM" 1294382 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-520 1292959 1293636 1293709 "IDPAG" 1293714 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-519 1292503 1292765 1292855 "IDENT" 1292889 T IDENT (NIL) -8 NIL NIL NIL) (-518 1288722 1289606 1290501 "IDECOMP" 1291660 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-517 1281357 1282645 1283692 "IDEAL" 1287758 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-516 1280499 1280629 1280829 "ICDEN" 1281241 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-515 1279474 1279979 1280126 "ICARD" 1280372 T ICARD (NIL) -8 NIL NIL NIL) (-514 1277504 1277847 1278252 "IBPTOOLS" 1279151 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-513 1272619 1277124 1277237 "IBITS" 1277423 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-512 1269294 1269918 1270613 "IBATOOL" 1272036 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-511 1267055 1267535 1268068 "IBACHIN" 1268829 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-510 1264645 1266901 1267004 "IARRAY2" 1267009 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-509 1260358 1264571 1264628 "IARRAY1" 1264633 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-508 1253368 1258770 1259251 "IAN" 1259897 T IAN (NIL) -8 NIL NIL NIL) (-507 1252873 1252936 1253109 "IALGFACT" 1253305 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-506 1252365 1252514 1252542 "HYPCAT" 1252749 T HYPCAT (NIL) -9 NIL NIL NIL) (-505 1251867 1252020 1252206 "HYPCAT-" 1252211 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-504 1251414 1251662 1251745 "HOSTNAME" 1251804 T HOSTNAME (NIL) -8 NIL NIL NIL) (-503 1251247 1251296 1251337 "HOMOTOP" 1251342 NIL HOMOTOP (NIL T) -9 NIL 1251375 NIL) (-502 1247680 1249179 1249220 "HOAGG" 1250201 NIL HOAGG (NIL T) -9 NIL 1250930 NIL) (-501 1246196 1246673 1247199 "HOAGG-" 1247204 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-500 1239232 1245789 1245939 "HEXADEC" 1246066 T HEXADEC (NIL) -8 NIL NIL NIL) (-499 1237944 1238202 1238465 "HEUGCD" 1239009 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-498 1236876 1237781 1237911 "HELLFDIV" 1237916 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-497 1234886 1236653 1236741 "HEAP" 1236820 NIL HEAP (NIL T) -8 NIL NIL NIL) (-496 1234083 1234438 1234572 "HEADAST" 1234772 T HEADAST (NIL) -8 NIL NIL NIL) (-495 1227470 1233998 1234060 "HDP" 1234065 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-494 1220482 1227105 1227257 "HDMP" 1227371 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-493 1219788 1219946 1220110 "HB" 1220338 T HB (NIL) -7 NIL NIL NIL) (-492 1212798 1219634 1219738 "HASHTBL" 1219743 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-491 1212214 1212519 1212611 "HASAST" 1212726 T HASAST (NIL) -8 NIL NIL NIL) (-490 1209620 1211836 1212018 "HACKPI" 1212052 T HACKPI (NIL) -8 NIL NIL NIL) (-489 1204792 1209473 1209586 "GTSET" 1209591 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-488 1197831 1204670 1204768 "GSTBL" 1204773 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-487 1189580 1196996 1197252 "GSERIES" 1197631 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-486 1188611 1189124 1189152 "GROUP" 1189355 T GROUP (NIL) -9 NIL 1189489 NIL) (-485 1187935 1188136 1188387 "GROUP-" 1188392 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-484 1186284 1186623 1187010 "GROEBSOL" 1187612 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-483 1185112 1185472 1185523 "GRMOD" 1186052 NIL GRMOD (NIL T T) -9 NIL 1186220 NIL) (-482 1184868 1184916 1185044 "GRMOD-" 1185049 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-481 1180008 1181222 1182222 "GRIMAGE" 1183888 T GRIMAGE (NIL) -8 NIL NIL NIL) (-480 1178402 1178735 1179059 "GRDEF" 1179704 T GRDEF (NIL) -7 NIL NIL NIL) (-479 1177834 1177962 1178103 "GRAY" 1178281 T GRAY (NIL) -7 NIL NIL NIL) (-478 1176911 1177413 1177464 "GRALG" 1177617 NIL GRALG (NIL T T) -9 NIL 1177710 NIL) (-477 1176548 1176645 1176808 "GRALG-" 1176813 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-476 1173029 1176131 1176310 "GPOLSET" 1176454 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-475 1172377 1172440 1172698 "GOSPER" 1172966 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-474 1167947 1168815 1169341 "GMODPOL" 1172076 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-473 1166934 1167136 1167374 "GHENSEL" 1167759 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-472 1161006 1161933 1162953 "GENUPS" 1166018 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-471 1160697 1160754 1160843 "GENUFACT" 1160949 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-470 1160097 1160186 1160351 "GENPGCD" 1160615 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-469 1159565 1159606 1159819 "GENMFACT" 1160056 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-468 1158101 1158388 1158695 "GENEEZ" 1159308 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-467 1151273 1157712 1157874 "GDMP" 1158024 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-466 1140012 1145044 1146150 "GCNAALG" 1150256 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-465 1138139 1139187 1139215 "GCDDOM" 1139470 T GCDDOM (NIL) -9 NIL 1139627 NIL) (-464 1137579 1137736 1137951 "GCDDOM-" 1137956 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-463 1136229 1136436 1136740 "GB" 1137358 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-462 1124701 1127175 1129567 "GBINTERN" 1133920 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-461 1122502 1122830 1123251 "GBF" 1124376 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-460 1121259 1121448 1121715 "GBEUCLID" 1122318 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-459 1120590 1120733 1120882 "GAUSSFAC" 1121130 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-458 1118911 1119259 1119573 "GALUTIL" 1120309 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-457 1117171 1117493 1117817 "GALPOLYU" 1118638 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-456 1114470 1114826 1115233 "GALFACTU" 1116868 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-455 1106084 1107775 1109383 "GALFACT" 1112902 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-454 1103370 1104130 1104158 "FVFUN" 1105314 T FVFUN (NIL) -9 NIL 1106034 NIL) (-453 1102600 1102818 1102846 "FVC" 1103137 T FVC (NIL) -9 NIL 1103320 NIL) (-452 1102201 1102425 1102493 "FUNDESC" 1102552 T FUNDESC (NIL) -8 NIL NIL NIL) (-451 1101774 1101998 1102079 "FUNCTION" 1102153 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-450 1099404 1100096 1100562 "FT" 1101328 T FT (NIL) -8 NIL NIL NIL) (-449 1098081 1098705 1098908 "FTEM" 1099221 T FTEM (NIL) -8 NIL NIL NIL) (-448 1096350 1096661 1097058 "FSUPFACT" 1097772 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-447 1094669 1095036 1095368 "FST" 1096038 T FST (NIL) -8 NIL NIL NIL) (-446 1093850 1093974 1094162 "FSRED" 1094551 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-445 1092539 1092805 1093152 "FSPRMELT" 1093565 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-444 1089749 1090283 1090769 "FSPECF" 1092102 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-443 1069976 1079523 1079564 "FS" 1083448 NIL FS (NIL T) -9 NIL 1085737 NIL) (-442 1058037 1061612 1065669 "FS-" 1065969 NIL FS- (NIL T T) -8 NIL NIL NIL) (-441 1057559 1057619 1057789 "FSINT" 1057978 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-440 1055695 1056552 1056855 "FSERIES" 1057338 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-439 1054719 1054853 1055077 "FSCINT" 1055575 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-438 1050583 1053663 1053704 "FSAGG" 1054074 NIL FSAGG (NIL T) -9 NIL 1054333 NIL) (-437 1048183 1048946 1049742 "FSAGG-" 1049837 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-436 1047207 1047368 1047595 "FSAGG2" 1048036 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-435 1044867 1045165 1045713 "FS2UPS" 1046925 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-434 1044495 1044544 1044673 "FS2" 1044818 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-433 1043361 1043544 1043846 "FS2EXPXP" 1044320 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-432 1042775 1042902 1043054 "FRUTIL" 1043241 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-431 1033692 1038270 1039628 "FR" 1041449 NIL FR (NIL T) -8 NIL NIL NIL) (-430 1028210 1031381 1031421 "FRNAALG" 1032741 NIL FRNAALG (NIL T) -9 NIL 1033339 NIL) (-429 1023691 1024959 1026234 "FRNAALG-" 1026984 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-428 1023323 1023372 1023499 "FRNAAF2" 1023642 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-427 1021610 1022172 1022468 "FRMOD" 1023135 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-426 1019215 1019985 1020303 "FRIDEAL" 1021401 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-425 1018400 1018493 1018784 "FRIDEAL2" 1019122 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-424 1017491 1017947 1017988 "FRETRCT" 1017993 NIL FRETRCT (NIL T) -9 NIL 1018169 NIL) (-423 1016549 1016834 1017185 "FRETRCT-" 1017190 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-422 1013363 1014833 1014892 "FRAMALG" 1015774 NIL FRAMALG (NIL T T) -9 NIL 1016066 NIL) (-421 1011401 1011952 1012582 "FRAMALG-" 1012805 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-420 1004372 1010874 1011151 "FRAC" 1011156 NIL FRAC (NIL T) -8 NIL NIL NIL) (-419 1004002 1004065 1004172 "FRAC2" 1004309 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-418 1003632 1003695 1003802 "FR2" 1003939 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-417 997549 1001011 1001039 "FPS" 1002158 T FPS (NIL) -9 NIL 1002715 NIL) (-416 996974 997107 997271 "FPS-" 997417 NIL FPS- (NIL T) -8 NIL NIL NIL) (-415 993926 995931 995959 "FPC" 996184 T FPC (NIL) -9 NIL 996326 NIL) (-414 993707 993759 993856 "FPC-" 993861 NIL FPC- (NIL T) -8 NIL NIL NIL) (-413 992465 993195 993236 "FPATMAB" 993241 NIL FPATMAB (NIL T) -9 NIL 993393 NIL) (-412 990608 991207 991554 "FPARFRAC" 992181 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-411 985900 986500 987182 "FORTRAN" 990040 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-410 983586 984116 984655 "FORT" 985381 T FORT (NIL) -7 NIL NIL NIL) (-409 981160 981824 981852 "FORTFN" 982912 T FORTFN (NIL) -9 NIL 983536 NIL) (-408 980912 980974 981002 "FORTCAT" 981061 T FORTCAT (NIL) -9 NIL 981123 NIL) (-407 978916 979528 979918 "FORMULA" 980542 T FORMULA (NIL) -8 NIL NIL NIL) (-406 978698 978734 978803 "FORMULA1" 978880 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-405 978215 978273 978446 "FORDER" 978640 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-404 977275 977475 977668 "FOP" 978042 T FOP (NIL) -7 NIL NIL NIL) (-403 975688 976555 976729 "FNLA" 977157 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-402 974307 974818 974846 "FNCAT" 975306 T FNCAT (NIL) -9 NIL 975566 NIL) (-401 973750 974266 974294 "FNAME" 974299 T FNAME (NIL) -8 NIL NIL NIL) (-400 972076 973249 973277 "FMTC" 973282 T FMTC (NIL) -9 NIL 973318 NIL) (-399 970624 972012 972058 "FMONOID" 972063 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-398 967213 968579 968620 "FMONCAT" 969837 NIL FMONCAT (NIL T) -9 NIL 970442 NIL) (-397 966231 966955 967104 "FM" 967109 NIL FM (NIL T T) -8 NIL NIL NIL) (-396 963553 964301 964329 "FMFUN" 965473 T FMFUN (NIL) -9 NIL 966181 NIL) (-395 962786 963003 963031 "FMC" 963321 T FMC (NIL) -9 NIL 963503 NIL) (-394 959659 960711 960765 "FMCAT" 961960 NIL FMCAT (NIL T T) -9 NIL 962455 NIL) (-393 958327 959425 959525 "FM1" 959604 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-392 956065 956517 957011 "FLOATRP" 957878 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-391 948721 953794 954415 "FLOAT" 955464 T FLOAT (NIL) -8 NIL NIL NIL) (-390 946123 946659 947237 "FLOATCP" 948188 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-389 944641 945715 945756 "FLINEXP" 945761 NIL FLINEXP (NIL T) -9 NIL 945854 NIL) (-388 943771 944030 944358 "FLINEXP-" 944363 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-387 942829 942991 943215 "FLASORT" 943623 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-386 939747 940799 940851 "FLALG" 942078 NIL FLALG (NIL T T) -9 NIL 942545 NIL) (-385 933011 937156 937197 "FLAGG" 938459 NIL FLAGG (NIL T) -9 NIL 939111 NIL) (-384 931665 932076 932566 "FLAGG-" 932571 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 930689 930850 931077 "FLAGG2" 931518 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-382 927320 928534 928593 "FINRALG" 929721 NIL FINRALG (NIL T T) -9 NIL 930229 NIL) (-381 926444 926709 927048 "FINRALG-" 927053 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-380 925750 926049 926077 "FINITE" 926273 T FINITE (NIL) -9 NIL 926380 NIL) (-379 917701 920280 920320 "FINAALG" 923987 NIL FINAALG (NIL T) -9 NIL 925440 NIL) (-378 912817 914083 915227 "FINAALG-" 916606 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-377 912095 912572 912675 "FILE" 912747 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 910655 911077 911131 "FILECAT" 911815 NIL FILECAT (NIL T T) -9 NIL 912031 NIL) (-375 908051 909885 909913 "FIELD" 909953 T FIELD (NIL) -9 NIL 910033 NIL) (-374 906593 907056 907567 "FIELD-" 907572 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-373 904275 905228 905575 "FGROUP" 906279 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-372 903347 903529 903749 "FGLMICPK" 904107 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-371 898581 903272 903329 "FFX" 903334 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-370 898176 898243 898378 "FFSLPE" 898514 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-369 894052 894948 895744 "FFPOLY" 897412 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 893550 893592 893801 "FFPOLY2" 894010 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-367 888798 893469 893532 "FFP" 893537 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-366 883598 888709 888773 "FF" 888778 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-365 878108 882941 883131 "FFNBX" 883452 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-364 872420 877243 877501 "FFNBP" 877962 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-363 866437 871704 871915 "FFNB" 872253 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-362 865257 865467 865782 "FFINTBAS" 866234 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-361 860833 863504 863532 "FFIELDC" 864152 T FFIELDC (NIL) -9 NIL 864528 NIL) (-360 859411 859866 860363 "FFIELDC-" 860368 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-359 858968 859026 859150 "FFHOM" 859353 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-358 856627 857150 857667 "FFF" 858483 NIL FFF (NIL T) -7 NIL NIL NIL) (-357 851641 856369 856470 "FFCGX" 856570 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-356 846659 851373 851480 "FFCGP" 851584 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-355 841238 846386 846494 "FFCG" 846595 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-354 819901 830970 831056 "FFCAT" 836221 NIL FFCAT (NIL T T T) -9 NIL 837672 NIL) (-353 814912 816146 817460 "FFCAT-" 818690 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-352 814317 814366 814601 "FFCAT2" 814863 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-351 802970 807289 808509 "FEXPR" 813169 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-350 801898 802367 802408 "FEVALAB" 802492 NIL FEVALAB (NIL T) -9 NIL 802753 NIL) (-349 801015 801267 801605 "FEVALAB-" 801610 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-348 799425 800398 800601 "FDIV" 800914 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-347 796287 797172 797287 "FDIVCAT" 798855 NIL FDIVCAT (NIL T T T T) -9 NIL 799292 NIL) (-346 796043 796076 796246 "FDIVCAT-" 796251 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-345 795257 795350 795627 "FDIV2" 795950 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-344 794165 794552 794754 "FCTRDATA" 795075 T FCTRDATA (NIL) -8 NIL NIL NIL) (-343 792821 793110 793399 "FCPAK1" 793896 T FCPAK1 (NIL) -7 NIL NIL NIL) (-342 791824 792321 792462 "FCOMP" 792712 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-341 775139 778974 782512 "FC" 788306 T FC (NIL) -8 NIL NIL NIL) (-340 766834 771460 771500 "FAXF" 773302 NIL FAXF (NIL T) -9 NIL 773994 NIL) (-339 763955 764768 765593 "FAXF-" 766058 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-338 758524 763331 763507 "FARRAY" 763812 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-337 753088 755471 755524 "FAMR" 756547 NIL FAMR (NIL T T) -9 NIL 757007 NIL) (-336 751912 752280 752715 "FAMR-" 752720 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-335 750939 751834 751887 "FAMONOID" 751892 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-334 748569 749421 749474 "FAMONC" 750415 NIL FAMONC (NIL T T) -9 NIL 750801 NIL) (-333 747043 748323 748460 "FAGROUP" 748465 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-332 744796 745157 745560 "FACUTIL" 746724 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-331 743883 744080 744302 "FACTFUNC" 744606 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-330 735641 743186 743385 "EXPUPXS" 743739 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-329 733094 733664 734250 "EXPRTUBE" 735075 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-328 729305 729957 730687 "EXPRODE" 732433 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-327 713599 727954 728383 "EXPR" 728909 NIL EXPR (NIL T) -8 NIL NIL NIL) (-326 708033 708740 709546 "EXPR2UPS" 712897 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-325 707659 707722 707831 "EXPR2" 707970 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-324 697976 706810 707101 "EXPEXPAN" 707495 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-323 697740 697933 697962 "EXIT" 697967 T EXIT (NIL) -8 NIL NIL NIL) (-322 697160 697464 697555 "EXITAST" 697669 T EXITAST (NIL) -8 NIL NIL NIL) (-321 696781 696849 696962 "EVALCYC" 697092 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-320 696298 696440 696481 "EVALAB" 696651 NIL EVALAB (NIL T) -9 NIL 696755 NIL) (-319 695755 695901 696122 "EVALAB-" 696127 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-318 692863 694411 694439 "EUCDOM" 694994 T EUCDOM (NIL) -9 NIL 695344 NIL) (-317 691202 691710 692300 "EUCDOM-" 692305 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-316 678519 681500 684250 "ESTOOLS" 688472 T ESTOOLS (NIL) -7 NIL NIL NIL) (-315 678145 678208 678317 "ESTOOLS2" 678456 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-314 677890 677938 678018 "ESTOOLS1" 678097 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-313 671591 673521 673549 "ES" 676317 T ES (NIL) -9 NIL 677727 NIL) (-312 666268 667825 669642 "ES-" 669806 NIL ES- (NIL T) -8 NIL NIL NIL) (-311 662576 663403 664183 "ESCONT" 665508 T ESCONT (NIL) -7 NIL NIL NIL) (-310 662315 662353 662435 "ESCONT1" 662538 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-309 661984 662040 662140 "ES2" 662259 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-308 661608 661672 661781 "ES1" 661920 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-307 660800 660953 661129 "ERROR" 661452 T ERROR (NIL) -7 NIL NIL NIL) (-306 653816 660659 660750 "EQTBL" 660755 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-305 646075 649130 650579 "EQ" 652400 NIL -2130 (NIL T) -8 NIL NIL NIL) (-304 645701 645764 645873 "EQ2" 646012 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-303 640944 642039 643132 "EP" 644640 NIL EP (NIL T) -7 NIL NIL NIL) (-302 639484 639835 640141 "ENV" 640658 T ENV (NIL) -8 NIL NIL NIL) (-301 638444 639118 639146 "ENTIRER" 639151 T ENTIRER (NIL) -9 NIL 639197 NIL) (-300 634856 636626 636987 "EMR" 638252 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-299 633960 634171 634225 "ELTAGG" 634605 NIL ELTAGG (NIL T T) -9 NIL 634816 NIL) (-298 633667 633741 633882 "ELTAGG-" 633887 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-297 633425 633460 633514 "ELTAB" 633598 NIL ELTAB (NIL T T) -9 NIL 633650 NIL) (-296 632527 632697 632896 "ELFUTS" 633276 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-295 632251 632325 632353 "ELEMFUN" 632458 T ELEMFUN (NIL) -9 NIL NIL NIL) (-294 632115 632142 632210 "ELEMFUN-" 632215 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-293 626532 630157 630198 "ELAGG" 631138 NIL ELAGG (NIL T) -9 NIL 631601 NIL) (-292 624709 625251 625914 "ELAGG-" 625919 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-291 623991 624158 624314 "ELABOR" 624573 T ELABOR (NIL) -8 NIL NIL NIL) (-290 622598 622931 623225 "ELABEXPR" 623717 T ELABEXPR (NIL) -8 NIL NIL NIL) (-289 615110 617235 618064 "EFUPXS" 621873 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-288 608236 610359 611170 "EFULS" 614385 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-287 605673 606079 606551 "EFSTRUC" 607868 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-286 595110 597030 598578 "EF" 604188 NIL EF (NIL T T) -7 NIL NIL NIL) (-285 594088 594595 594744 "EAB" 594981 T EAB (NIL) -8 NIL NIL NIL) (-284 593210 594047 594075 "E04UCFA" 594080 T E04UCFA (NIL) -8 NIL NIL NIL) (-283 592332 593169 593197 "E04NAFA" 593202 T E04NAFA (NIL) -8 NIL NIL NIL) (-282 591454 592291 592319 "E04MBFA" 592324 T E04MBFA (NIL) -8 NIL NIL NIL) (-281 590576 591413 591441 "E04JAFA" 591446 T E04JAFA (NIL) -8 NIL NIL NIL) (-280 589700 590535 590563 "E04GCFA" 590568 T E04GCFA (NIL) -8 NIL NIL NIL) (-279 588824 589659 589687 "E04FDFA" 589692 T E04FDFA (NIL) -8 NIL NIL NIL) (-278 587946 588783 588811 "E04DGFA" 588816 T E04DGFA (NIL) -8 NIL NIL NIL) (-277 582023 583471 584835 "E04AGNT" 586602 T E04AGNT (NIL) -7 NIL NIL NIL) (-276 580643 581324 581364 "DVARCAT" 581705 NIL DVARCAT (NIL T) -9 NIL 581868 NIL) (-275 579793 580059 580373 "DVARCAT-" 580378 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-274 571754 579592 579721 "DSMP" 579726 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-273 570105 570896 570937 "DSEXT" 571300 NIL DSEXT (NIL T) -9 NIL 571594 NIL) (-272 568294 568818 569484 "DSEXT-" 569489 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-271 562877 564239 565307 "DROPT" 567246 T DROPT (NIL) -8 NIL NIL NIL) (-270 562536 562601 562699 "DROPT1" 562812 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-269 557555 558777 559914 "DROPT0" 561419 T DROPT0 (NIL) -7 NIL NIL NIL) (-268 555864 556225 556611 "DRAWPT" 557189 T DRAWPT (NIL) -7 NIL NIL NIL) (-267 550355 551374 552453 "DRAW" 554838 NIL DRAW (NIL T) -7 NIL NIL NIL) (-266 549982 550041 550159 "DRAWHACK" 550296 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-265 548683 548982 549273 "DRAWCX" 549711 T DRAWCX (NIL) -7 NIL NIL NIL) (-264 548192 548267 548418 "DRAWCURV" 548609 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-263 538510 540622 542737 "DRAWCFUN" 546097 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-262 534981 537175 537216 "DQAGG" 537845 NIL DQAGG (NIL T) -9 NIL 538119 NIL) (-261 521564 529192 529275 "DPOLCAT" 531127 NIL DPOLCAT (NIL T T T T) -9 NIL 531672 NIL) (-260 516083 517749 519707 "DPOLCAT-" 519712 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-259 508940 515944 516042 "DPMO" 516047 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-258 501694 508720 508887 "DPMM" 508892 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-257 501216 501478 501567 "DOMTMPLT" 501625 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-256 500565 501018 501098 "DOMCTOR" 501156 T DOMCTOR (NIL) -8 NIL NIL NIL) (-255 499717 500045 500196 "DOMAIN" 500434 T DOMAIN (NIL) -8 NIL NIL NIL) (-254 492729 499352 499504 "DMP" 499618 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-253 490506 491796 491837 "DMEXT" 491842 NIL DMEXT (NIL T) -9 NIL 492018 NIL) (-252 490100 490162 490306 "DLP" 490444 NIL DLP (NIL T) -7 NIL NIL NIL) (-251 483223 489427 489617 "DLIST" 489942 NIL DLIST (NIL T) -8 NIL NIL NIL) (-250 479761 482048 482089 "DLAGG" 482639 NIL DLAGG (NIL T) -9 NIL 482869 NIL) (-249 478273 479087 479115 "DIVRING" 479207 T DIVRING (NIL) -9 NIL 479290 NIL) (-248 477456 477700 478000 "DIVRING-" 478005 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-247 475498 475915 476321 "DISPLAY" 477070 T DISPLAY (NIL) -7 NIL NIL NIL) (-246 468905 475412 475475 "DIRPROD" 475480 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 467735 467956 468221 "DIRPROD2" 468698 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-244 455954 462446 462499 "DIRPCAT" 462757 NIL DIRPCAT (NIL NIL T) -9 NIL 463632 NIL) (-243 453154 453922 454803 "DIRPCAT-" 455140 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-242 452435 452601 452787 "DIOSP" 452988 T DIOSP (NIL) -7 NIL NIL NIL) (-241 448849 451319 451360 "DIOPS" 451794 NIL DIOPS (NIL T) -9 NIL 452023 NIL) (-240 448368 448512 448703 "DIOPS-" 448708 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-239 447275 448047 448075 "DIFRING" 448080 T DIFRING (NIL) -9 NIL 448102 NIL) (-238 446923 447021 447049 "DIFFSPC" 447168 T DIFFSPC (NIL) -9 NIL 447243 NIL) (-237 446544 446646 446798 "DIFFSPC-" 446803 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-236 445480 446078 446119 "DIFFMOD" 446124 NIL DIFFMOD (NIL T) -9 NIL 446222 NIL) (-235 445176 445233 445274 "DIFFDOM" 445395 NIL DIFFDOM (NIL T) -9 NIL 445463 NIL) (-234 445023 445053 445137 "DIFFDOM-" 445142 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-233 442763 444227 444268 "DIFEXT" 444273 NIL DIFEXT (NIL T) -9 NIL 444426 NIL) (-232 439797 442267 442308 "DIAGG" 442313 NIL DIAGG (NIL T) -9 NIL 442333 NIL) (-231 439145 439338 439590 "DIAGG-" 439595 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-230 433995 438104 438381 "DHMATRIX" 438914 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-229 429463 430516 431526 "DFSFUN" 433005 T DFSFUN (NIL) -7 NIL NIL NIL) (-228 423697 428394 428706 "DFLOAT" 429171 T DFLOAT (NIL) -8 NIL NIL NIL) (-227 421936 422241 422630 "DFINTTLS" 423405 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-226 418755 419957 420357 "DERHAM" 421602 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-225 416291 418530 418619 "DEQUEUE" 418699 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-224 415533 415678 415861 "DEGRED" 416153 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-223 411939 412708 413554 "DEFINTRF" 414761 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-222 409476 409963 410555 "DEFINTEF" 411458 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-221 408760 409096 409211 "DEFAST" 409381 T DEFAST (NIL) -8 NIL NIL NIL) (-220 401796 408353 408503 "DECIMAL" 408630 T DECIMAL (NIL) -8 NIL NIL NIL) (-219 399254 399766 400272 "DDFACT" 401340 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-218 398844 398893 399044 "DBLRESP" 399205 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-217 398045 398614 398705 "DBASIS" 398793 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-216 395829 396275 396636 "DBASE" 397811 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 395017 395309 395455 "DATAARY" 395728 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 394075 394976 395004 "D03FAFA" 395009 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 393134 394034 394062 "D03EEFA" 394067 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 391060 391550 392039 "D03AGNT" 392665 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 390301 391019 391047 "D02EJFA" 391052 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 389542 390260 390288 "D02CJFA" 390293 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 388783 389501 389529 "D02BHFA" 389534 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 388024 388742 388770 "D02BBFA" 388775 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 381155 382810 384416 "D02AGNT" 386438 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 378905 379446 379992 "D01WGTS" 380629 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 377912 378864 378892 "D01TRNS" 378897 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 376920 377871 377899 "D01GBFA" 377904 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 375928 376879 376907 "D01FCFA" 376912 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 374936 375887 375915 "D01ASFA" 375920 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 373944 374895 374923 "D01AQFA" 374928 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 372952 373903 373931 "D01APFA" 373936 T D01APFA (NIL) -8 NIL NIL NIL) (-199 371960 372911 372939 "D01ANFA" 372944 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 370968 371919 371947 "D01AMFA" 371952 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 369976 370927 370955 "D01ALFA" 370960 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 368984 369935 369963 "D01AKFA" 369968 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 367992 368943 368971 "D01AJFA" 368976 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 361215 362840 364401 "D01AGNT" 366451 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 360534 360680 360832 "CYCLOTOM" 361083 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 357189 357982 358709 "CYCLES" 359827 T CYCLES (NIL) -7 NIL NIL NIL) (-191 356489 356635 356806 "CVMP" 357050 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 354276 354588 354957 "CTRIGMNP" 356217 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 353634 354070 354143 "CTOR" 354223 T CTOR (NIL) -8 NIL NIL NIL) (-188 353107 353365 353466 "CTORKIND" 353553 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 352312 352700 352728 "CTORCAT" 352910 T CTORCAT (NIL) -9 NIL 353023 NIL) (-186 351886 352021 352180 "CTORCAT-" 352185 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 351300 351560 351668 "CTORCALL" 351810 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 350656 350773 350926 "CSTTOOLS" 351197 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 346353 347112 347870 "CRFP" 349968 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 345768 346074 346166 "CRCEAST" 346281 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 344791 345000 345228 "CRAPACK" 345572 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 344171 344276 344480 "CPMATCH" 344667 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 343890 343924 344030 "CPIMA" 344137 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 340148 340910 341629 "COORDSYS" 343225 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 339536 339681 339823 "CONTOUR" 340026 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 335001 337539 338031 "CONTFRAC" 339076 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 334875 334902 334930 "CONDUIT" 334967 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 333829 334503 334531 "COMRING" 334536 T COMRING (NIL) -9 NIL 334588 NIL) (-173 332811 333187 333371 "COMPPROP" 333665 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 332466 332507 332635 "COMPLPAT" 332770 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 320849 332275 332384 "COMPLEX" 332389 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320479 320542 320649 "COMPLEX2" 320786 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 319800 319939 320099 "COMPILER" 320339 T COMPILER (NIL) -8 NIL NIL NIL) (-168 319512 319553 319651 "COMPFACT" 319759 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 300887 313216 313256 "COMPCAT" 314260 NIL COMPCAT (NIL T) -9 NIL 315608 NIL) (-166 289775 293326 296953 "COMPCAT-" 297309 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 289498 289532 289635 "COMMUPC" 289741 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 289286 289326 289385 "COMMONOP" 289459 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 288794 289037 289124 "COMM" 289219 T COMM (NIL) -8 NIL NIL NIL) (-162 288316 288598 288673 "COMMAAST" 288739 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 287511 287759 287787 "COMBOPC" 288125 T COMBOPC (NIL) -9 NIL 288300 NIL) (-160 286365 286617 286859 "COMBINAT" 287301 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 282708 283396 284023 "COMBF" 285787 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 281370 281824 282059 "COLOR" 282493 T COLOR (NIL) -8 NIL NIL NIL) (-157 280786 281091 281183 "COLONAST" 281298 T COLONAST (NIL) -8 NIL NIL NIL) (-156 280420 280473 280598 "CMPLXRT" 280733 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 279808 280120 280219 "CLLCTAST" 280341 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 275268 276338 277418 "CLIP" 278748 T CLIP (NIL) -7 NIL NIL NIL) (-153 273441 274369 274609 "CLIF" 275095 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 269423 271559 271600 "CLAGG" 272529 NIL CLAGG (NIL T) -9 NIL 273065 NIL) (-151 267767 268302 268885 "CLAGG-" 268890 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 267305 267396 267536 "CINTSLPE" 267676 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 264770 265277 265825 "CHVAR" 266833 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 263810 264484 264512 "CHARZ" 264517 T CHARZ (NIL) -9 NIL 264532 NIL) (-147 263558 263604 263682 "CHARPOL" 263764 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 262476 263189 263217 "CHARNZ" 263264 T CHARNZ (NIL) -9 NIL 263320 NIL) (-145 260220 261130 261483 "CHAR" 262143 T CHAR (NIL) -8 NIL NIL NIL) (-144 259928 260007 260035 "CFCAT" 260146 T CFCAT (NIL) -9 NIL NIL NIL) (-143 259151 259280 259463 "CDEN" 259812 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 254748 258304 258584 "CCLASS" 258891 T CCLASS (NIL) -8 NIL NIL NIL) (-141 253969 254156 254333 "CATEGORY" 254591 T -10 (NIL) -8 NIL NIL NIL) (-140 253464 253888 253936 "CATCTOR" 253941 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 252855 253167 253265 "CATAST" 253386 T CATAST (NIL) -8 NIL NIL NIL) (-138 252271 252576 252668 "CASEAST" 252783 T CASEAST (NIL) -8 NIL NIL NIL) (-137 247169 248428 249172 "CARTEN" 251583 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 246265 246425 246646 "CARTEN2" 247016 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 244395 245415 245672 "CARD" 246028 T CARD (NIL) -8 NIL NIL NIL) (-134 243917 244199 244274 "CAPSLAST" 244340 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 243359 243615 243643 "CACHSET" 243775 T CACHSET (NIL) -9 NIL 243853 NIL) (-132 242749 243137 243165 "CABMON" 243215 T CABMON (NIL) -9 NIL 243271 NIL) (-131 242186 242453 242563 "BYTEORD" 242659 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 240944 241701 241850 "BYTE" 242013 T BYTE (NIL) -8 NIL NIL 242142) (-129 235871 240449 240621 "BYTEBUF" 240792 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 233133 235563 235670 "BTREE" 235797 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 230335 232781 232903 "BTOURN" 233043 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 227442 229777 229818 "BTCAT" 229886 NIL BTCAT (NIL T) -9 NIL 229963 NIL) (-125 227091 227189 227338 "BTCAT-" 227343 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 221982 226337 226365 "BTAGG" 226479 T BTAGG (NIL) -9 NIL 226589 NIL) (-123 221436 221597 221803 "BTAGG-" 221808 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 218172 220714 220929 "BSTREE" 221253 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 217280 217436 217620 "BRILL" 218028 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 213675 215978 216019 "BRAGG" 216668 NIL BRAGG (NIL T) -9 NIL 216926 NIL) (-119 212108 212610 213165 "BRAGG-" 213170 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 204344 211452 211637 "BPADICRT" 211955 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 202353 204281 204326 "BPADIC" 204331 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 202045 202081 202195 "BOUNDZRO" 202317 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 197027 198471 199383 "BOP" 201153 T BOP (NIL) -8 NIL NIL NIL) (-114 194754 195212 195687 "BOP1" 196585 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 194437 194516 194544 "BOOLE" 194655 T BOOLE (NIL) -9 NIL 194737 NIL) (-112 193088 194011 194160 "BOOLEAN" 194308 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 192257 192757 192811 "BMODULE" 192816 NIL BMODULE (NIL T T) -9 NIL 192881 NIL) (-110 187578 192055 192128 "BITS" 192204 T BITS (NIL) -8 NIL NIL NIL) (-109 186975 187118 187258 "BINDING" 187458 T BINDING (NIL) -8 NIL NIL NIL) (-108 180014 186570 186719 "BINARY" 186846 T BINARY (NIL) -8 NIL NIL NIL) (-107 177621 179241 179282 "BGAGG" 179542 NIL BGAGG (NIL T) -9 NIL 179679 NIL) (-106 177446 177484 177575 "BGAGG-" 177580 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176469 176830 177035 "BFUNCT" 177261 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175139 175337 175625 "BEZOUT" 176293 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171337 173991 174321 "BBTREE" 174842 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170920 171016 171044 "BASTYPE" 171221 T BASTYPE (NIL) -9 NIL 171320 NIL) (-101 170578 170677 170812 "BASTYPE-" 170817 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 170000 170088 170240 "BALFACT" 170489 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168736 169415 169601 "AUTOMOR" 169845 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168462 168467 168493 "ATTREG" 168498 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166624 167159 167511 "ATTRBUT" 168128 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166178 166452 166518 "ATTRAST" 166576 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165678 165827 165853 "ATRIG" 166054 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165475 165528 165615 "ATRIG-" 165620 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165058 165292 165318 "ASTCAT" 165323 T ASTCAT (NIL) -9 NIL 165353 NIL) (-92 164767 164844 164963 "ASTCAT-" 164968 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162741 164543 164631 "ASTACK" 164710 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161230 161543 161908 "ASSOCEQ" 162423 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160154 160889 161013 "ASP9" 161137 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 159881 160102 160141 "ASP8" 160146 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 158641 159486 159628 "ASP80" 159770 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 157431 158276 158408 "ASP7" 158540 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 156277 157108 157226 "ASP78" 157344 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 155138 155957 156074 "ASP77" 156191 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 153942 154776 154907 "ASP74" 155038 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 152734 153577 153709 "ASP73" 153841 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 151730 152560 152660 "ASP6" 152665 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150569 151407 151525 "ASP55" 151643 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149410 150243 150362 "ASP50" 150481 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148390 149111 149221 "ASP4" 149331 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 147370 148091 148201 "ASP49" 148311 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 146046 146909 147077 "ASP42" 147259 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144715 145579 145749 "ASP41" 145933 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 143557 144392 144510 "ASP35" 144628 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143286 143505 143544 "ASP34" 143549 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 143005 143090 143166 "ASP33" 143241 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141791 142640 142772 "ASP31" 142904 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141520 141739 141778 "ASP30" 141783 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141237 141324 141400 "ASP29" 141475 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140966 141185 141224 "ASP28" 141229 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140695 140914 140953 "ASP27" 140958 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139671 140393 140504 "ASP24" 140615 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138640 139473 139585 "ASP20" 139590 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137620 138341 138451 "ASP1" 138561 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 136455 137294 137413 "ASP19" 137532 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 136174 136259 136335 "ASP12" 136410 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 134918 135773 135917 "ASP10" 136061 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 132530 134762 134853 "ARRAY2" 134858 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 127890 132178 132292 "ARRAY1" 132447 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 126904 127095 127316 "ARRAY12" 127713 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 120949 123106 123181 "ARR2CAT" 125811 NIL ARR2CAT (NIL T T T) -9 NIL 126569 NIL) (-56 118239 119127 120081 "ARR2CAT-" 120086 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117490 117866 117991 "ARITY" 118132 T ARITY (NIL) -8 NIL NIL NIL) (-54 116248 116418 116717 "APPRULE" 117326 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115893 115947 116066 "APPLYORE" 116194 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115193 115486 115606 "ANY" 115791 T ANY (NIL) -8 NIL NIL NIL) (-51 114447 114594 114751 "ANY1" 115067 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 111773 112884 113211 "ANTISYM" 114171 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111217 111480 111576 "ANON" 111695 T ANON (NIL) -8 NIL NIL NIL) (-48 104373 109756 110210 "AN" 110781 T AN (NIL) -8 NIL NIL NIL) (-47 100029 101645 101696 "AMR" 102444 NIL AMR (NIL T T) -9 NIL 103044 NIL) (-46 99081 99362 99725 "AMR-" 99730 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82550 98998 99059 "ALIST" 99064 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78847 82144 82313 "ALGSC" 82468 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75297 75957 76564 "ALGPKG" 78287 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74562 74675 74859 "ALGMFACT" 75183 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70545 71176 71770 "ALGMANIP" 74146 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59884 70171 70321 "ALGFF" 70478 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59056 59211 59390 "ALGFACT" 59742 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57845 58583 58621 "ALGEBRA" 58626 NIL ALGEBRA (NIL T) -9 NIL 58667 NIL) (-37 57545 57622 57754 "ALGEBRA-" 57759 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38506 55382 55434 "ALAGG" 55570 NIL ALAGG (NIL T T) -9 NIL 55731 NIL) (-35 38006 38155 38181 "AHYP" 38382 T AHYP (NIL) -9 NIL NIL NIL) (-34 36891 37185 37211 "AGG" 37710 T AGG (NIL) -9 NIL 37989 NIL) (-33 36289 36487 36701 "AGG-" 36706 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34049 34518 34923 "AF" 35931 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33469 33774 33864 "ADDAST" 33977 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32701 32996 33152 "ACPLOT" 33331 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20258 29633 29671 "ACFS" 30278 NIL ACFS (NIL T) -9 NIL 30517 NIL) (-28 18165 18775 19537 "ACFS-" 19542 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13873 16198 16224 "ACF" 17103 T ACF (NIL) -9 NIL 17516 NIL) (-26 12505 12911 13404 "ACF-" 13409 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12015 12258 12284 "ABELSG" 12376 T ABELSG (NIL) -9 NIL 12441 NIL) (-24 11876 11907 11973 "ABELSG-" 11978 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11145 11492 11518 "ABELMON" 11688 T ABELMON (NIL) -9 NIL 11800 NIL) (-22 10785 10893 11031 "ABELMON-" 11036 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10035 10491 10517 "ABELGRP" 10589 T ABELGRP (NIL) -9 NIL 10664 NIL) (-20 9462 9627 9843 "ABELGRP-" 9848 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8724 8763 "A1AGG" 8768 NIL A1AGG (NIL T) -9 NIL 8808 NIL) (-18 30 1497 3059 "A1AGG-" 3064 NIL A1AGG- (NIL T T) -8 NIL NIL NIL)) \ No newline at end of file
+((-3 3471521 3471526 3471531 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3471506 3471511 3471516 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3471491 3471496 3471501 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3471476 3471481 3471486 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1326 3470463 3471351 3471428 "ZMOD" 3471433 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1325 3469499 3469681 3469904 "ZLINDEP" 3470295 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1324 3458661 3460567 3462539 "ZDSOLVE" 3467629 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1323 3457895 3458048 3458237 "YSTREAM" 3458507 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1322 3457255 3457564 3457679 "YDIAGRAM" 3457802 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1321 3454703 3456556 3456760 "XRPOLY" 3457098 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1320 3450970 3452574 3453149 "XPR" 3454175 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1319 3448365 3450301 3450505 "XPOLY" 3450801 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1318 3445696 3447372 3447427 "XPOLYC" 3447715 NIL XPOLYC (NIL T T) -9 NIL 3447828 NIL) (-1317 3441642 3444213 3444601 "XPBWPOLY" 3445354 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1316 3436911 3439618 3439660 "XF" 3440281 NIL XF (NIL T) -9 NIL 3440681 NIL) (-1315 3436508 3436620 3436789 "XF-" 3436794 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1314 3431400 3432979 3433034 "XFALG" 3435206 NIL XFALG (NIL T T) -9 NIL 3435995 NIL) (-1313 3430515 3430637 3430842 "XEXPPKG" 3431292 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1312 3428256 3430365 3430461 "XDPOLY" 3430466 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1311 3426911 3427649 3427692 "XALG" 3427697 NIL XALG (NIL T) -9 NIL 3427808 NIL) (-1310 3419821 3424888 3425382 "WUTSET" 3426503 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1309 3417923 3418873 3419196 "WP" 3419632 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1308 3417471 3417745 3417815 "WHILEAST" 3417875 T WHILEAST (NIL) -8 NIL NIL NIL) (-1307 3416883 3417188 3417282 "WHEREAST" 3417399 T WHEREAST (NIL) -8 NIL NIL NIL) (-1306 3415757 3415967 3416262 "WFFINTBS" 3416680 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1305 3413625 3414088 3414550 "WEIER" 3415329 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1304 3412549 3413107 3413149 "VSPACE" 3413285 NIL VSPACE (NIL T) -9 NIL 3413359 NIL) (-1303 3412381 3412414 3412505 "VSPACE-" 3412510 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1302 3412178 3412232 3412300 "VOID" 3412335 T VOID (NIL) -8 NIL NIL NIL) (-1301 3410278 3410673 3411079 "VIEW" 3411794 T VIEW (NIL) -7 NIL NIL NIL) (-1300 3406546 3407341 3408078 "VIEWDEF" 3409563 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1299 3395490 3398094 3400267 "VIEW3D" 3404395 T VIEW3D (NIL) -8 NIL NIL NIL) (-1298 3387507 3389401 3390980 "VIEW2D" 3393933 T VIEW2D (NIL) -8 NIL NIL NIL) (-1297 3382413 3387277 3387369 "VECTOR" 3387450 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1296 3380966 3381249 3381567 "VECTOR2" 3382143 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1295 3373920 3378670 3378713 "VECTCAT" 3379708 NIL VECTCAT (NIL T) -9 NIL 3380295 NIL) (-1294 3372862 3373188 3373578 "VECTCAT-" 3373583 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1293 3372268 3372513 3372633 "VARIABLE" 3372777 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1292 3372201 3372206 3372236 "UTYPE" 3372241 T UTYPE (NIL) -9 NIL NIL NIL) (-1291 3371009 3371185 3371447 "UTSODETL" 3372027 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1290 3368401 3368909 3369433 "UTSODE" 3370550 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1289 3359711 3366162 3366642 "UTS" 3367979 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1288 3349718 3355644 3355687 "UTSCAT" 3356799 NIL UTSCAT (NIL T) -9 NIL 3357557 NIL) (-1287 3346844 3347788 3348777 "UTSCAT-" 3348782 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1286 3346465 3346514 3346647 "UTS2" 3346795 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1285 3340332 3343275 3343318 "URAGG" 3345388 NIL URAGG (NIL T) -9 NIL 3346111 NIL) (-1284 3337055 3338134 3339257 "URAGG-" 3339262 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1283 3332424 3335690 3336155 "UPXSSING" 3336719 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1282 3323902 3331806 3332070 "UPXS" 3332218 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1281 3316317 3323806 3323878 "UPXSCONS" 3323883 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1280 3305065 3312519 3312581 "UPXSCCA" 3313155 NIL UPXSCCA (NIL T T) -9 NIL 3313388 NIL) (-1279 3304685 3304788 3304962 "UPXSCCA-" 3304967 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1278 3293333 3300512 3300555 "UPXSCAT" 3301203 NIL UPXSCAT (NIL T) -9 NIL 3301812 NIL) (-1277 3292757 3292842 3293021 "UPXS2" 3293248 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1276 3291393 3291664 3292015 "UPSQFREE" 3292500 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1275 3284221 3287659 3287714 "UPSCAT" 3288794 NIL UPSCAT (NIL T T) -9 NIL 3289560 NIL) (-1274 3283377 3283632 3283959 "UPSCAT-" 3283964 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1273 3267511 3276504 3276547 "UPOLYC" 3278648 NIL UPOLYC (NIL T) -9 NIL 3279869 NIL) (-1272 3258359 3261265 3264412 "UPOLYC-" 3264417 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1271 3257980 3258029 3258162 "UPOLYC2" 3258310 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1270 3248555 3257663 3257792 "UP" 3257899 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1269 3247876 3248001 3248165 "UPMP" 3248444 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1268 3247423 3247510 3247649 "UPDIVP" 3247789 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1267 3245961 3246240 3246556 "UPDECOMP" 3247172 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1266 3245174 3245304 3245490 "UPCDEN" 3245845 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1265 3244687 3244762 3244911 "UP2" 3245099 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1264 3243040 3243891 3244168 "UNISEG" 3244445 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1263 3242245 3242382 3242587 "UNISEG2" 3242883 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1262 3241287 3241485 3241711 "UNIFACT" 3242061 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1261 3223097 3240599 3240841 "ULS" 3241103 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1260 3209807 3223001 3223073 "ULSCONS" 3223078 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1259 3189607 3202887 3202949 "ULSCCAT" 3203587 NIL ULSCCAT (NIL T T) -9 NIL 3203876 NIL) (-1258 3188603 3188902 3189290 "ULSCCAT-" 3189295 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1257 3177048 3184149 3184192 "ULSCAT" 3185055 NIL ULSCAT (NIL T) -9 NIL 3185786 NIL) (-1256 3176472 3176557 3176736 "ULS2" 3176963 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1255 3175387 3176087 3176201 "UINT8" 3176312 T UINT8 (NIL) -8 NIL NIL 3176404) (-1254 3174301 3175001 3175115 "UINT64" 3175226 T UINT64 (NIL) -8 NIL NIL 3175318) (-1253 3173215 3173915 3174029 "UINT32" 3174140 T UINT32 (NIL) -8 NIL NIL 3174232) (-1252 3172129 3172829 3172943 "UINT16" 3173054 T UINT16 (NIL) -8 NIL NIL 3173146) (-1251 3170208 3171375 3171405 "UFD" 3171617 T UFD (NIL) -9 NIL 3171731 NIL) (-1250 3169990 3170048 3170143 "UFD-" 3170148 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1249 3169048 3169255 3169471 "UDVO" 3169796 T UDVO (NIL) -7 NIL NIL NIL) (-1248 3166814 3167273 3167744 "UDPO" 3168612 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1247 3166747 3166752 3166782 "TYPE" 3166787 T TYPE (NIL) -9 NIL NIL NIL) (-1246 3166459 3166702 3166733 "TYPEAST" 3166738 T TYPEAST (NIL) -8 NIL NIL NIL) (-1245 3165412 3165632 3165872 "TWOFACT" 3166253 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1244 3164387 3164821 3165056 "TUPLE" 3165212 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1243 3162024 3162597 3163136 "TUBETOOL" 3163870 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1242 3160830 3161071 3161313 "TUBE" 3161817 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1241 3155009 3159802 3160085 "TS" 3160582 NIL TS (NIL T) -8 NIL NIL NIL) (-1240 3143151 3147766 3147863 "TSETCAT" 3153132 NIL TSETCAT (NIL T T T T) -9 NIL 3154664 NIL) (-1239 3137619 3139483 3141374 "TSETCAT-" 3141379 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1238 3132092 3133105 3134034 "TRMANIP" 3136755 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1237 3131521 3131596 3131759 "TRIMAT" 3132024 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1236 3129333 3129624 3129981 "TRIGMNIP" 3131270 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1235 3128817 3128966 3128996 "TRIGCAT" 3129209 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1234 3128462 3128565 3128706 "TRIGCAT-" 3128711 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1233 3125076 3127320 3127601 "TREE" 3128216 NIL TREE (NIL T) -8 NIL NIL NIL) (-1232 3124182 3124878 3124908 "TRANFUN" 3124943 T TRANFUN (NIL) -9 NIL 3125009 NIL) (-1231 3123401 3123652 3123932 "TRANFUN-" 3123937 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1230 3123199 3123237 3123298 "TOPSP" 3123362 T TOPSP (NIL) -7 NIL NIL NIL) (-1229 3122529 3122662 3122816 "TOOLSIGN" 3123080 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1228 3121043 3121706 3121945 "TEXTFILE" 3122312 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1227 3118847 3119496 3119925 "TEX" 3120636 T TEX (NIL) -8 NIL NIL NIL) (-1226 3118622 3118659 3118731 "TEX1" 3118810 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1225 3118258 3118333 3118423 "TEMUTL" 3118554 T TEMUTL (NIL) -7 NIL NIL NIL) (-1224 3116352 3116692 3117017 "TBCMPPK" 3117981 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1223 3107679 3114438 3114494 "TBAGG" 3114894 NIL TBAGG (NIL T T) -9 NIL 3115105 NIL) (-1222 3102563 3104237 3105991 "TBAGG-" 3105996 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1221 3101929 3102054 3102199 "TANEXP" 3102452 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1220 3101380 3101704 3101794 "TALGOP" 3101874 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1219 3094394 3101237 3101330 "TABLE" 3101335 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1218 3093788 3093905 3094043 "TABLEAU" 3094291 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1217 3088318 3089616 3090864 "TABLBUMP" 3092574 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1216 3087528 3087687 3087868 "SYSTEM" 3088159 T SYSTEM (NIL) -8 NIL NIL NIL) (-1215 3083933 3084686 3085469 "SYSSOLP" 3086779 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1214 3083695 3083888 3083919 "SYSPTR" 3083924 T SYSPTR (NIL) -8 NIL NIL NIL) (-1213 3082530 3083222 3083348 "SYSNNI" 3083534 NIL SYSNNI (NIL NIL) -8 NIL NIL 3083626) (-1212 3081733 3082288 3082367 "SYSINT" 3082427 NIL SYSINT (NIL NIL) -8 NIL NIL 3082472) (-1211 3077831 3079011 3079721 "SYNTAX" 3081045 T SYNTAX (NIL) -8 NIL NIL NIL) (-1210 3074911 3075591 3076223 "SYMTAB" 3077221 T SYMTAB (NIL) -8 NIL NIL NIL) (-1209 3070010 3071062 3072045 "SYMS" 3073950 T SYMS (NIL) -8 NIL NIL NIL) (-1208 3066909 3069461 3069694 "SYMPOLY" 3069812 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1207 3066414 3066501 3066624 "SYMFUNC" 3066821 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1206 3062212 3063726 3064539 "SYMBOL" 3065623 T SYMBOL (NIL) -8 NIL NIL NIL) (-1205 3055685 3057440 3059160 "SWITCH" 3060514 T SWITCH (NIL) -8 NIL NIL NIL) (-1204 3048439 3054641 3054935 "SUTS" 3055449 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1203 3039917 3047821 3048085 "SUPXS" 3048233 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1202 3030440 3039535 3039661 "SUP" 3039826 NIL SUP (NIL T) -8 NIL NIL NIL) (-1201 3029587 3029726 3029943 "SUPFRACF" 3030308 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1200 3029202 3029267 3029380 "SUP2" 3029522 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1199 3027626 3027924 3028280 "SUMRF" 3028901 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1198 3026949 3027027 3027219 "SUMFS" 3027547 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1197 3008794 3026261 3026503 "SULS" 3026765 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1196 3008342 3008616 3008686 "SUCHTAST" 3008746 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1195 3007583 3007867 3008007 "SUCH" 3008250 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1194 3001222 3002489 3003448 "SUBSPACE" 3006671 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1193 3000642 3000742 3000906 "SUBRESP" 3001110 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1192 2993836 2995307 2996618 "STTF" 2999378 NIL STTF (NIL T) -7 NIL NIL NIL) (-1191 2987847 2989129 2990276 "STTFNC" 2992736 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1190 2978964 2981029 2982823 "STTAYLOR" 2986088 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1189 2971718 2978828 2978911 "STRTBL" 2978916 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1188 2966115 2971427 2971526 "STRING" 2971641 T STRING (NIL) -8 NIL NIL NIL) (-1187 2958225 2963734 2964345 "STREAM" 2965539 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1186 2957729 2957812 2957956 "STREAM3" 2958142 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1185 2956693 2956894 2957129 "STREAM2" 2957542 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1184 2956375 2956433 2956526 "STREAM1" 2956635 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1183 2955367 2955572 2955803 "STINPROD" 2956191 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1182 2954863 2955115 2955145 "STEP" 2955225 T STEP (NIL) -9 NIL 2955303 NIL) (-1181 2953978 2954352 2954500 "STEPAST" 2954737 T STEPAST (NIL) -8 NIL NIL NIL) (-1180 2947034 2953877 2953954 "STBL" 2953959 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1179 2941592 2946197 2946240 "STAGG" 2946393 NIL STAGG (NIL T) -9 NIL 2946482 NIL) (-1178 2939144 2939896 2940768 "STAGG-" 2940773 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1177 2937116 2938914 2939006 "STACK" 2939087 NIL STACK (NIL T) -8 NIL NIL NIL) (-1176 2929123 2935257 2935713 "SREGSET" 2936746 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1175 2921470 2922917 2924430 "SRDCMPK" 2927729 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1174 2913779 2918829 2918859 "SRAGG" 2920162 T SRAGG (NIL) -9 NIL 2920770 NIL) (-1173 2912730 2913051 2913430 "SRAGG-" 2913435 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1172 2906314 2911677 2912098 "SQMATRIX" 2912356 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1171 2899726 2903032 2903759 "SPLTREE" 2905659 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1170 2895551 2896382 2897028 "SPLNODE" 2899152 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1169 2894526 2894831 2894861 "SPFCAT" 2895305 T SPFCAT (NIL) -9 NIL NIL NIL) (-1168 2893221 2893473 2893737 "SPECOUT" 2894284 T SPECOUT (NIL) -7 NIL NIL NIL) (-1167 2883867 2886185 2886215 "SPADXPT" 2890893 T SPADXPT (NIL) -9 NIL 2893059 NIL) (-1166 2883622 2883668 2883737 "SPADPRSR" 2883820 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1165 2881225 2883577 2883608 "SPADAST" 2883613 T SPADAST (NIL) -8 NIL NIL NIL) (-1164 2872826 2874929 2874972 "SPACEC" 2879345 NIL SPACEC (NIL T) -9 NIL 2881161 NIL) (-1163 2870626 2872758 2872807 "SPACE3" 2872812 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1162 2869358 2869549 2869840 "SORTPAK" 2870431 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1161 2867420 2867753 2868165 "SOLVETRA" 2869022 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1160 2866458 2866692 2866953 "SOLVESER" 2867193 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1159 2861690 2862650 2863645 "SOLVERAD" 2865510 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1158 2857415 2858114 2858843 "SOLVEFOR" 2861057 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1157 2851026 2856763 2856860 "SNTSCAT" 2856865 NIL SNTSCAT (NIL T T T T) -9 NIL 2856935 NIL) (-1156 2844570 2849349 2849740 "SMTS" 2850716 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1155 2838285 2844458 2844535 "SMP" 2844540 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1154 2836414 2836745 2837143 "SMITH" 2837982 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1153 2827946 2832993 2833096 "SMATCAT" 2834447 NIL SMATCAT (NIL NIL T T T) -9 NIL 2834997 NIL) (-1152 2824718 2825709 2826887 "SMATCAT-" 2826892 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1151 2822187 2823926 2823969 "SKAGG" 2824230 NIL SKAGG (NIL T) -9 NIL 2824365 NIL) (-1150 2817681 2821660 2821844 "SINT" 2821996 T SINT (NIL) -8 NIL NIL 2822158) (-1149 2817447 2817491 2817557 "SIMPAN" 2817637 T SIMPAN (NIL) -7 NIL NIL NIL) (-1148 2816672 2816982 2817122 "SIG" 2817329 T SIG (NIL) -8 NIL NIL NIL) (-1147 2815492 2815731 2816006 "SIGNRF" 2816431 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1146 2814307 2814476 2814760 "SIGNEF" 2815321 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1145 2813547 2813890 2814014 "SIGAST" 2814205 T SIGAST (NIL) -8 NIL NIL NIL) (-1144 2811199 2811691 2812197 "SHP" 2813088 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1143 2804572 2811100 2811176 "SHDP" 2811181 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1142 2804083 2804323 2804353 "SGROUP" 2804446 T SGROUP (NIL) -9 NIL 2804508 NIL) (-1141 2803935 2803967 2804040 "SGROUP-" 2804045 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1140 2800654 2801424 2802147 "SGCF" 2803234 T SGCF (NIL) -7 NIL NIL NIL) (-1139 2794363 2800100 2800197 "SFRTCAT" 2800202 NIL SFRTCAT (NIL T T T T) -9 NIL 2800241 NIL) (-1138 2787682 2788802 2789938 "SFRGCD" 2793346 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1137 2780700 2781881 2783067 "SFQCMPK" 2786615 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1136 2780302 2780409 2780520 "SFORT" 2780641 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1135 2779228 2780142 2780263 "SEXOF" 2780268 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1134 2778143 2779109 2779177 "SEX" 2779182 T SEX (NIL) -8 NIL NIL NIL) (-1133 2773732 2774639 2774734 "SEXCAT" 2777356 NIL SEXCAT (NIL T T T T T) -9 NIL 2777916 NIL) (-1132 2770541 2773666 2773714 "SET" 2773719 NIL SET (NIL T) -8 NIL NIL NIL) (-1131 2768663 2769254 2769559 "SETMN" 2770282 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1130 2768193 2768381 2768411 "SETCAT" 2768528 T SETCAT (NIL) -9 NIL 2768613 NIL) (-1129 2767961 2768025 2768124 "SETCAT-" 2768129 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1128 2764064 2766422 2766465 "SETAGG" 2767335 NIL SETAGG (NIL T) -9 NIL 2767675 NIL) (-1127 2763486 2763638 2763875 "SETAGG-" 2763880 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1126 2762869 2763182 2763283 "SEQAST" 2763407 T SEQAST (NIL) -8 NIL NIL NIL) (-1125 2761996 2762362 2762423 "SEGXCAT" 2762709 NIL SEGXCAT (NIL T T) -9 NIL 2762829 NIL) (-1124 2760912 2761662 2761844 "SEG" 2761849 NIL SEG (NIL T) -8 NIL NIL NIL) (-1123 2759837 2760105 2760148 "SEGCAT" 2760670 NIL SEGCAT (NIL T) -9 NIL 2760891 NIL) (-1122 2758727 2759200 2759408 "SEGBIND" 2759664 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1121 2758342 2758407 2758520 "SEGBIND2" 2758662 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1120 2757861 2758143 2758220 "SEGAST" 2758287 T SEGAST (NIL) -8 NIL NIL NIL) (-1119 2757070 2757206 2757410 "SEG2" 2757705 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1118 2756303 2757005 2757052 "SDVAR" 2757057 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1117 2747654 2756073 2756203 "SDPOL" 2756208 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1116 2746223 2746513 2746832 "SCPKG" 2747369 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1115 2745345 2745559 2745751 "SCOPE" 2746053 T SCOPE (NIL) -8 NIL NIL NIL) (-1114 2744541 2744699 2744878 "SCACHE" 2745200 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1113 2744125 2744359 2744389 "SASTCAT" 2744394 T SASTCAT (NIL) -9 NIL 2744407 NIL) (-1112 2743528 2743960 2744036 "SAOS" 2744071 T SAOS (NIL) -8 NIL NIL NIL) (-1111 2743087 2743128 2743301 "SAERFFC" 2743487 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1110 2736114 2742984 2743064 "SAE" 2743069 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1109 2735701 2735742 2735901 "SAEFACT" 2736073 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1108 2734004 2734336 2734737 "RURPK" 2735367 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1107 2732581 2732947 2733252 "RULESET" 2733838 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1106 2729696 2730334 2730792 "RULE" 2732262 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1105 2729266 2729490 2729573 "RULECOLD" 2729648 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1104 2729050 2729084 2729155 "RTVALUE" 2729217 T RTVALUE (NIL) -8 NIL NIL NIL) (-1103 2728461 2728767 2728861 "RSTRCAST" 2728978 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1102 2723231 2724104 2725024 "RSETGCD" 2727660 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1101 2711802 2717539 2717636 "RSETCAT" 2721755 NIL RSETCAT (NIL T T T T) -9 NIL 2722852 NIL) (-1100 2709621 2710268 2711092 "RSETCAT-" 2711097 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1099 2701929 2703383 2704903 "RSDCMPK" 2708220 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1098 2699798 2700361 2700435 "RRCC" 2701521 NIL RRCC (NIL T T) -9 NIL 2701865 NIL) (-1097 2699119 2699323 2699602 "RRCC-" 2699607 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1096 2698502 2698815 2698916 "RPTAST" 2699040 T RPTAST (NIL) -8 NIL NIL NIL) (-1095 2670888 2681614 2681681 "RPOLCAT" 2692347 NIL RPOLCAT (NIL T T T) -9 NIL 2695507 NIL) (-1094 2661858 2664726 2667848 "RPOLCAT-" 2667853 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1093 2652311 2660069 2660551 "ROUTINE" 2661398 T ROUTINE (NIL) -8 NIL NIL NIL) (-1092 2648360 2651937 2652077 "ROMAN" 2652193 T ROMAN (NIL) -8 NIL NIL NIL) (-1091 2646472 2647220 2647480 "ROIRC" 2648165 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1090 2642190 2644961 2644991 "RNS" 2645295 T RNS (NIL) -9 NIL 2645569 NIL) (-1089 2640597 2641082 2641616 "RNS-" 2641691 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1088 2639890 2640394 2640424 "RNG" 2640429 T RNG (NIL) -9 NIL 2640450 NIL) (-1087 2638851 2639255 2639457 "RNGBIND" 2639741 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1086 2638146 2638624 2638667 "RMODULE" 2638672 NIL RMODULE (NIL T) -9 NIL 2638699 NIL) (-1085 2636970 2637076 2637412 "RMCAT2" 2638047 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1084 2633472 2636316 2636613 "RMATRIX" 2636732 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1083 2625971 2628559 2628674 "RMATCAT" 2632033 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2633015 NIL) (-1082 2625310 2625493 2625800 "RMATCAT-" 2625805 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1081 2624883 2625097 2625140 "RLINSET" 2625202 NIL RLINSET (NIL T) -9 NIL 2625246 NIL) (-1080 2624444 2624525 2624653 "RINTERP" 2624802 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1079 2623368 2624042 2624072 "RING" 2624128 T RING (NIL) -9 NIL 2624220 NIL) (-1078 2623148 2623204 2623301 "RING-" 2623306 NIL RING- (NIL T) -8 NIL NIL NIL) (-1077 2621959 2622226 2622484 "RIDIST" 2622912 T RIDIST (NIL) -7 NIL NIL NIL) (-1076 2612584 2621427 2621633 "RGCHAIN" 2621807 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1075 2611842 2612326 2612367 "RGBCSPC" 2612425 NIL RGBCSPC (NIL T) -9 NIL 2612477 NIL) (-1074 2610908 2611367 2611408 "RGBCMDL" 2611640 NIL RGBCMDL (NIL T) -9 NIL 2611754 NIL) (-1073 2607848 2608516 2609186 "RF" 2610272 NIL RF (NIL T) -7 NIL NIL NIL) (-1072 2607488 2607557 2607660 "RFFACTOR" 2607779 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1071 2607207 2607248 2607345 "RFFACT" 2607447 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1070 2605258 2605688 2606070 "RFDIST" 2606847 T RFDIST (NIL) -7 NIL NIL NIL) (-1069 2604705 2604803 2604966 "RETSOL" 2605160 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1068 2604323 2604421 2604464 "RETRACT" 2604597 NIL RETRACT (NIL T) -9 NIL 2604684 NIL) (-1067 2604166 2604197 2604284 "RETRACT-" 2604289 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1066 2603714 2603988 2604058 "RETAST" 2604118 T RETAST (NIL) -8 NIL NIL NIL) (-1065 2596064 2603367 2603494 "RESULT" 2603609 T RESULT (NIL) -8 NIL NIL NIL) (-1064 2594499 2595333 2595532 "RESRING" 2595967 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1063 2594123 2594184 2594282 "RESLATC" 2594436 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1062 2593822 2593863 2593970 "REPSQ" 2594082 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1061 2591202 2591824 2592426 "REP" 2593242 T REP (NIL) -7 NIL NIL NIL) (-1060 2590893 2590934 2591045 "REPDB" 2591161 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1059 2584725 2586182 2587405 "REP2" 2589705 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1058 2581028 2581783 2582591 "REP1" 2583952 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1057 2573036 2579169 2579625 "REGSET" 2580658 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1056 2571745 2572184 2572434 "REF" 2572821 NIL REF (NIL T) -8 NIL NIL NIL) (-1055 2571110 2571225 2571392 "REDORDER" 2571629 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1054 2566474 2570323 2570550 "RECLOS" 2570938 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1053 2565508 2565707 2565922 "REALSOLV" 2566281 T REALSOLV (NIL) -7 NIL NIL NIL) (-1052 2565342 2565395 2565425 "REAL" 2565430 T REAL (NIL) -9 NIL 2565465 NIL) (-1051 2561789 2562627 2563511 "REAL0Q" 2564507 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1050 2557342 2558378 2559439 "REAL0" 2560770 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1049 2556753 2557059 2557153 "RDUCEAST" 2557270 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1048 2556152 2556230 2556437 "RDIV" 2556675 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1047 2555202 2555394 2555607 "RDIST" 2555974 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1046 2553787 2554086 2554458 "RDETRS" 2554910 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1045 2551581 2552053 2552591 "RDETR" 2553329 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1044 2550200 2550484 2550881 "RDEEFS" 2551297 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1043 2548703 2549015 2549440 "RDEEF" 2549888 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1042 2542180 2545657 2545687 "RCFIELD" 2546982 T RCFIELD (NIL) -9 NIL 2547713 NIL) (-1041 2540136 2540748 2541444 "RCFIELD-" 2541519 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1040 2536188 2538209 2538252 "RCAGG" 2539336 NIL RCAGG (NIL T) -9 NIL 2539801 NIL) (-1039 2535798 2535910 2536073 "RCAGG-" 2536078 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1038 2535115 2535245 2535410 "RATRET" 2535682 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1037 2534656 2534735 2534856 "RATFACT" 2535043 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1036 2533934 2534084 2534236 "RANDSRC" 2534526 T RANDSRC (NIL) -7 NIL NIL NIL) (-1035 2533662 2533712 2533785 "RADUTIL" 2533883 T RADUTIL (NIL) -7 NIL NIL NIL) (-1034 2525786 2532493 2532804 "RADIX" 2533385 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1033 2515380 2525628 2525758 "RADFF" 2525763 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1032 2515009 2515102 2515132 "RADCAT" 2515292 T RADCAT (NIL) -9 NIL NIL NIL) (-1031 2514779 2514839 2514939 "RADCAT-" 2514944 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1030 2512690 2514549 2514641 "QUEUE" 2514722 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1029 2508529 2512623 2512671 "QUAT" 2512676 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1028 2508154 2508203 2508334 "QUATCT2" 2508480 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1027 2500530 2504577 2504619 "QUATCAT" 2505410 NIL QUATCAT (NIL T) -9 NIL 2506176 NIL) (-1026 2496411 2497706 2499096 "QUATCAT-" 2499192 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1025 2493667 2495459 2495502 "QUAGG" 2495883 NIL QUAGG (NIL T) -9 NIL 2496058 NIL) (-1024 2493215 2493489 2493559 "QQUTAST" 2493619 T QQUTAST (NIL) -8 NIL NIL NIL) (-1023 2492126 2492728 2492893 "QFORM" 2493096 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1022 2481802 2487973 2488015 "QFCAT" 2488683 NIL QFCAT (NIL T) -9 NIL 2489684 NIL) (-1021 2477117 2478570 2480164 "QFCAT-" 2480260 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1020 2476742 2476791 2476922 "QFCAT2" 2477068 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1019 2476173 2476307 2476439 "QEQUAT" 2476632 T QEQUAT (NIL) -8 NIL NIL NIL) (-1018 2469191 2470372 2471558 "QCMPACK" 2475106 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1017 2466641 2467177 2467607 "QALGSET" 2468846 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1016 2465870 2466052 2466288 "QALGSET2" 2466459 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1015 2464537 2464779 2465098 "PWFFINTB" 2465643 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1014 2462682 2462880 2463236 "PUSHVAR" 2464351 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1013 2458409 2459625 2459668 "PTRANFN" 2461579 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1012 2456746 2457091 2457415 "PTPACK" 2458120 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1011 2456369 2456432 2456543 "PTFUNC2" 2456683 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1010 2450294 2455158 2455201 "PTCAT" 2455501 NIL PTCAT (NIL T) -9 NIL 2455654 NIL) (-1009 2449943 2449984 2450110 "PSQFR" 2450253 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1008 2448515 2448831 2449167 "PSEUDLIN" 2449641 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1007 2435035 2437610 2439936 "PSETPK" 2446275 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1006 2427743 2430771 2430869 "PSETCAT" 2433910 NIL PSETCAT (NIL T T T T) -9 NIL 2434724 NIL) (-1005 2425468 2426210 2427034 "PSETCAT-" 2427039 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1004 2424781 2424976 2425006 "PSCURVE" 2425278 T PSCURVE (NIL) -9 NIL 2425445 NIL) (-1003 2420497 2422271 2422338 "PSCAT" 2423190 NIL PSCAT (NIL T T T) -9 NIL 2423430 NIL) (-1002 2419491 2419773 2420176 "PSCAT-" 2420181 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-1001 2417690 2418550 2418815 "PRTITION" 2419248 T PRTITION (NIL) -8 NIL NIL NIL) (-1000 2417101 2417407 2417501 "PRTDAST" 2417618 T PRTDAST (NIL) -8 NIL NIL NIL) (-999 2405983 2408405 2410593 "PRS" 2414963 NIL PRS (NIL T T) -7 NIL NIL NIL) (-998 2403603 2405305 2405345 "PRQAGG" 2405528 NIL PRQAGG (NIL T) -9 NIL 2405630 NIL) (-997 2402873 2403244 2403272 "PROPLOG" 2403411 T PROPLOG (NIL) -9 NIL 2403526 NIL) (-996 2402471 2402534 2402657 "PROPFUN2" 2402796 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-995 2401768 2401907 2402079 "PROPFUN1" 2402332 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-994 2399829 2400515 2400812 "PROPFRML" 2401504 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-993 2399274 2399405 2399533 "PROPERTY" 2399721 T PROPERTY (NIL) -8 NIL NIL NIL) (-992 2393162 2397440 2398260 "PRODUCT" 2398500 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-991 2390120 2392620 2392854 "PR" 2392973 NIL PR (NIL T T) -8 NIL NIL NIL) (-990 2389910 2389948 2390007 "PRINT" 2390081 T PRINT (NIL) -7 NIL NIL NIL) (-989 2389226 2389367 2389519 "PRIMES" 2389790 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-988 2387273 2387692 2388158 "PRIMELT" 2388805 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-987 2386990 2387051 2387079 "PRIMCAT" 2387203 T PRIMCAT (NIL) -9 NIL NIL NIL) (-986 2382712 2386928 2386973 "PRIMARR" 2386978 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-985 2381701 2381897 2382125 "PRIMARR2" 2382530 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-984 2381338 2381400 2381511 "PREASSOC" 2381639 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-983 2380789 2380946 2380974 "PPCURVE" 2381179 T PPCURVE (NIL) -9 NIL 2381315 NIL) (-982 2380336 2380584 2380667 "PORTNUM" 2380726 T PORTNUM (NIL) -8 NIL NIL NIL) (-981 2377673 2378094 2378686 "POLYROOT" 2379917 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-980 2370881 2377277 2377437 "POLY" 2377546 NIL POLY (NIL T) -8 NIL NIL NIL) (-979 2370258 2370322 2370556 "POLYLIFT" 2370817 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-978 2366479 2366982 2367611 "POLYCATQ" 2369803 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-977 2352127 2358226 2358291 "POLYCAT" 2361805 NIL POLYCAT (NIL T T T) -9 NIL 2363683 NIL) (-976 2345246 2347438 2349822 "POLYCAT-" 2349827 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-975 2344827 2344901 2345021 "POLY2UP" 2345172 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-974 2344453 2344516 2344625 "POLY2" 2344764 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-973 2343114 2343377 2343653 "POLUTIL" 2344227 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-972 2341433 2341746 2342077 "POLTOPOL" 2342836 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-971 2336429 2341367 2341414 "POINT" 2341419 NIL POINT (NIL T) -8 NIL NIL NIL) (-970 2334562 2334973 2335348 "PNTHEORY" 2336074 T PNTHEORY (NIL) -7 NIL NIL NIL) (-969 2333008 2333317 2333716 "PMTOOLS" 2334260 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-968 2332595 2332679 2332796 "PMSYM" 2332924 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-967 2332097 2332172 2332347 "PMQFCAT" 2332520 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-966 2331440 2331562 2331718 "PMPRED" 2331974 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-965 2330821 2330919 2331081 "PMPREDFS" 2331341 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-964 2329475 2329693 2330071 "PMPLCAT" 2330583 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-963 2329001 2329086 2329238 "PMLSAGG" 2329390 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-962 2328468 2328550 2328732 "PMKERNEL" 2328919 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-961 2328079 2328160 2328273 "PMINS" 2328387 NIL PMINS (NIL T) -7 NIL NIL NIL) (-960 2327515 2327590 2327799 "PMFS" 2328004 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-959 2326731 2326861 2327066 "PMDOWN" 2327392 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-958 2325874 2326056 2326237 "PMASS" 2326570 T PMASS (NIL) -7 NIL NIL NIL) (-957 2325123 2325257 2325420 "PMASSFS" 2325761 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-956 2324772 2324846 2324940 "PLOTTOOL" 2325049 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-955 2319193 2320583 2321731 "PLOT" 2323644 T PLOT (NIL) -8 NIL NIL NIL) (-954 2314845 2316039 2316961 "PLOT3D" 2318291 T PLOT3D (NIL) -8 NIL NIL NIL) (-953 2313733 2313934 2314169 "PLOT1" 2314649 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-952 2288908 2293799 2298650 "PLEQN" 2308999 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-951 2288214 2288348 2288528 "PINTERP" 2288773 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-950 2287901 2287954 2288057 "PINTERPA" 2288161 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-949 2286997 2287665 2287752 "PI" 2287792 T PI (NIL) -8 NIL NIL 2287859) (-948 2285082 2286255 2286283 "PID" 2286465 T PID (NIL) -9 NIL 2286599 NIL) (-947 2284827 2284870 2284945 "PICOERCE" 2285039 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-946 2284135 2284286 2284462 "PGROEB" 2284683 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-945 2279574 2280533 2281439 "PGE" 2283249 T PGE (NIL) -7 NIL NIL NIL) (-944 2277655 2277944 2278310 "PGCD" 2279291 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-943 2276981 2277096 2277257 "PFRPAC" 2277539 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-942 2273231 2275529 2275882 "PFR" 2276660 NIL PFR (NIL T) -8 NIL NIL NIL) (-941 2271584 2271864 2272189 "PFOTOOLS" 2272978 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-940 2270099 2270356 2270707 "PFOQ" 2271341 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-939 2268582 2268812 2269168 "PFO" 2269883 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-938 2264507 2268471 2268540 "PF" 2268545 NIL PF (NIL NIL) -8 NIL NIL NIL) (-937 2261585 2263098 2263126 "PFECAT" 2263711 T PFECAT (NIL) -9 NIL 2264095 NIL) (-936 2261012 2261184 2261398 "PFECAT-" 2261403 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-935 2259585 2259867 2260168 "PFBRU" 2260761 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-934 2257415 2257803 2258235 "PFBR" 2259236 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-933 2253217 2254924 2255572 "PERM" 2256800 NIL PERM (NIL T) -8 NIL NIL NIL) (-932 2248271 2249424 2250294 "PERMGRP" 2252380 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-931 2246183 2247295 2247336 "PERMCAT" 2247736 NIL PERMCAT (NIL T) -9 NIL 2248034 NIL) (-930 2245830 2245877 2246001 "PERMAN" 2246136 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-929 2243071 2245495 2245617 "PENDTREE" 2245741 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-928 2241952 2242215 2242256 "PDSPC" 2242789 NIL PDSPC (NIL T) -9 NIL 2243034 NIL) (-927 2241007 2241273 2241635 "PDSPC-" 2241640 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-926 2239721 2240657 2240698 "PDRING" 2240703 NIL PDRING (NIL T) -9 NIL 2240731 NIL) (-925 2238464 2239226 2239280 "PDMOD" 2239285 NIL PDMOD (NIL T T) -9 NIL 2239389 NIL) (-924 2235631 2236457 2237125 "PDEPROB" 2237816 T PDEPROB (NIL) -8 NIL NIL NIL) (-923 2233140 2233680 2234235 "PDEPACK" 2235096 T PDEPACK (NIL) -7 NIL NIL NIL) (-922 2232028 2232242 2232493 "PDECOMP" 2232939 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-921 2229545 2230436 2230464 "PDECAT" 2231251 T PDECAT (NIL) -9 NIL 2231964 NIL) (-920 2229162 2229229 2229283 "PDDOM" 2229448 NIL PDDOM (NIL T T) -9 NIL 2229528 NIL) (-919 2228975 2229011 2229118 "PDDOM-" 2229123 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-918 2228720 2228759 2228849 "PCOMP" 2228936 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-917 2226760 2227521 2227818 "PBWLB" 2228449 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-916 2218939 2220833 2222171 "PATTERN" 2225443 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-915 2218565 2218628 2218737 "PATTERN2" 2218876 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-914 2216274 2216710 2217167 "PATTERN1" 2218154 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-913 2213540 2214223 2214704 "PATRES" 2215839 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-912 2213098 2213171 2213303 "PATRES2" 2213467 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-911 2210951 2211386 2211793 "PATMATCH" 2212765 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-910 2210405 2210656 2210697 "PATMAB" 2210804 NIL PATMAB (NIL T) -9 NIL 2210887 NIL) (-909 2208851 2209259 2209517 "PATLRES" 2210210 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-908 2208389 2208520 2208561 "PATAB" 2208566 NIL PATAB (NIL T) -9 NIL 2208738 NIL) (-907 2206529 2206966 2207389 "PARTPERM" 2207986 T PARTPERM (NIL) -7 NIL NIL NIL) (-906 2206138 2206213 2206315 "PARSURF" 2206460 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-905 2205764 2205827 2205936 "PARSU2" 2206075 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-904 2205522 2205568 2205635 "PARSER" 2205717 T PARSER (NIL) -7 NIL NIL NIL) (-903 2205131 2205206 2205308 "PARSCURV" 2205453 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-902 2204757 2204820 2204929 "PARSC2" 2205068 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-901 2204384 2204454 2204551 "PARPCURV" 2204693 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-900 2204010 2204073 2204182 "PARPC2" 2204321 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-899 2202999 2203383 2203565 "PARAMAST" 2203848 T PARAMAST (NIL) -8 NIL NIL NIL) (-898 2202507 2202605 2202724 "PAN2EXPR" 2202900 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-897 2201200 2201628 2201856 "PALETTE" 2202299 T PALETTE (NIL) -8 NIL NIL NIL) (-896 2199545 2200205 2200565 "PAIR" 2200886 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-895 2192457 2198802 2198997 "PADICRC" 2199399 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-894 2184693 2191801 2191986 "PADICRAT" 2192304 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-893 2182702 2184630 2184675 "PADIC" 2184680 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-892 2179492 2181362 2181402 "PADICCT" 2181983 NIL PADICCT (NIL NIL) -9 NIL 2182265 NIL) (-891 2178437 2178649 2178917 "PADEPAC" 2179279 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-890 2177637 2177782 2177988 "PADE" 2178299 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-889 2175870 2176845 2177125 "OWP" 2177441 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-888 2175315 2175576 2175673 "OVERSET" 2175793 T OVERSET (NIL) -8 NIL NIL NIL) (-887 2174235 2174920 2175092 "OVAR" 2175183 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-886 2173475 2173620 2173781 "OUT" 2174094 T OUT (NIL) -7 NIL NIL NIL) (-885 2161711 2164584 2166784 "OUTFORM" 2171295 T OUTFORM (NIL) -8 NIL NIL NIL) (-884 2160993 2161308 2161435 "OUTBFILE" 2161604 T OUTBFILE (NIL) -8 NIL NIL NIL) (-883 2160270 2160465 2160493 "OUTBCON" 2160811 T OUTBCON (NIL) -9 NIL 2160977 NIL) (-882 2159853 2159983 2160140 "OUTBCON-" 2160145 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-881 2159149 2159582 2159671 "OSI" 2159784 T OSI (NIL) -8 NIL NIL NIL) (-880 2158568 2158990 2159018 "OSGROUP" 2159023 T OSGROUP (NIL) -9 NIL 2159045 NIL) (-879 2157279 2157540 2157825 "ORTHPOL" 2158315 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-878 2154530 2157114 2157235 "OREUP" 2157240 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-877 2151633 2154221 2154348 "ORESUP" 2154472 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-876 2149133 2149661 2150222 "OREPCTO" 2151122 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-875 2142511 2145006 2145047 "OREPCAT" 2147395 NIL OREPCAT (NIL T) -9 NIL 2148499 NIL) (-874 2139484 2140440 2141498 "OREPCAT-" 2141503 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-873 2138677 2138954 2138982 "ORDTYPE" 2139291 T ORDTYPE (NIL) -9 NIL 2139454 NIL) (-872 2137978 2138194 2138449 "ORDTYPE-" 2138454 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-871 2137334 2137717 2137875 "ORDSTRCT" 2137880 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-870 2136832 2137202 2137230 "ORDSET" 2137235 T ORDSET (NIL) -9 NIL 2137257 NIL) (-869 2135190 2136161 2136189 "ORDRING" 2136391 T ORDRING (NIL) -9 NIL 2136516 NIL) (-868 2134811 2134929 2135073 "ORDRING-" 2135078 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-867 2134062 2134627 2134655 "ORDMON" 2134660 T ORDMON (NIL) -9 NIL 2134681 NIL) (-866 2133206 2133371 2133566 "ORDFUNS" 2133911 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-865 2132421 2132936 2132964 "ORDFIN" 2133029 T ORDFIN (NIL) -9 NIL 2133103 NIL) (-864 2128768 2131007 2131416 "ORDCOMP" 2132045 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-863 2128022 2128161 2128347 "ORDCOMP2" 2128628 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-862 2124543 2125513 2126327 "OPTPROB" 2127228 T OPTPROB (NIL) -8 NIL NIL NIL) (-861 2121285 2121984 2122688 "OPTPACK" 2123859 T OPTPACK (NIL) -7 NIL NIL NIL) (-860 2118898 2119724 2119752 "OPTCAT" 2120571 T OPTCAT (NIL) -9 NIL 2121221 NIL) (-859 2118216 2118575 2118680 "OPSIG" 2118813 T OPSIG (NIL) -8 NIL NIL NIL) (-858 2117978 2118023 2118089 "OPQUERY" 2118170 T OPQUERY (NIL) -7 NIL NIL NIL) (-857 2114887 2116289 2116793 "OP" 2117507 NIL OP (NIL T) -8 NIL NIL NIL) (-856 2114193 2114473 2114514 "OPERCAT" 2114726 NIL OPERCAT (NIL T) -9 NIL 2114823 NIL) (-855 2113936 2114004 2114121 "OPERCAT-" 2114126 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-854 2110549 2112733 2113102 "ONECOMP" 2113600 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-853 2109842 2109969 2110143 "ONECOMP2" 2110421 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-852 2109243 2109367 2109497 "OMSERVER" 2109732 T OMSERVER (NIL) -7 NIL NIL NIL) (-851 2105757 2108683 2108723 "OMSAGG" 2108784 NIL OMSAGG (NIL T) -9 NIL 2108848 NIL) (-850 2104332 2104643 2104925 "OMPKG" 2105495 T OMPKG (NIL) -7 NIL NIL NIL) (-849 2103738 2103865 2103893 "OM" 2104192 T OM (NIL) -9 NIL NIL NIL) (-848 2102085 2103287 2103456 "OMLO" 2103619 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-847 2101021 2101192 2101412 "OMEXPR" 2101911 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-846 2100258 2100567 2100703 "OMERR" 2100905 T OMERR (NIL) -8 NIL NIL NIL) (-845 2099343 2099679 2099839 "OMERRK" 2100118 T OMERRK (NIL) -8 NIL NIL NIL) (-844 2098734 2099020 2099128 "OMENC" 2099255 T OMENC (NIL) -8 NIL NIL NIL) (-843 2092371 2093814 2094985 "OMDEV" 2097583 T OMDEV (NIL) -8 NIL NIL NIL) (-842 2091404 2091611 2091805 "OMCONN" 2092197 T OMCONN (NIL) -8 NIL NIL NIL) (-841 2089682 2090874 2090902 "OINTDOM" 2090907 T OINTDOM (NIL) -9 NIL 2090928 NIL) (-840 2086756 2088370 2088707 "OFMONOID" 2089377 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-839 2085990 2086693 2086738 "ODVAR" 2086743 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-838 2083127 2085735 2085890 "ODR" 2085895 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-837 2074532 2082903 2083029 "ODPOL" 2083034 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-836 2067875 2074404 2074509 "ODP" 2074514 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-835 2066617 2066856 2067131 "ODETOOLS" 2067649 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-834 2063560 2064242 2064958 "ODESYS" 2065950 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-833 2058390 2059350 2060375 "ODERTRIC" 2062635 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-832 2057810 2057898 2058092 "ODERED" 2058302 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-831 2054662 2055246 2055923 "ODERAT" 2057233 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-830 2051579 2052086 2052683 "ODEPRRIC" 2054191 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-829 2049474 2050118 2050604 "ODEPROB" 2051113 T ODEPROB (NIL) -8 NIL NIL NIL) (-828 2045940 2046479 2047126 "ODEPRIM" 2048953 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-827 2045183 2045291 2045551 "ODEPAL" 2045832 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-826 2041285 2042136 2043000 "ODEPACK" 2044339 T ODEPACK (NIL) -7 NIL NIL NIL) (-825 2040328 2040453 2040675 "ODEINT" 2041174 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-824 2034393 2035854 2037301 "ODEIFTBL" 2038901 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-823 2029743 2030577 2031529 "ODEEF" 2033552 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-822 2029086 2029181 2029404 "ODECONST" 2029648 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-821 2027149 2027858 2027886 "ODECAT" 2028491 T ODECAT (NIL) -9 NIL 2029022 NIL) (-820 2023642 2026854 2026976 "OCT" 2027059 NIL OCT (NIL T) -8 NIL NIL NIL) (-819 2023274 2023323 2023450 "OCTCT2" 2023593 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-818 2017543 2020317 2020357 "OC" 2021454 NIL OC (NIL T) -9 NIL 2022312 NIL) (-817 2014578 2015518 2016508 "OC-" 2016602 NIL OC- (NIL T T) -8 NIL NIL NIL) (-816 2013801 2014371 2014399 "OCAMON" 2014404 T OCAMON (NIL) -9 NIL 2014425 NIL) (-815 2013221 2013646 2013674 "OASGP" 2013679 T OASGP (NIL) -9 NIL 2013699 NIL) (-814 2012347 2012944 2012972 "OAMONS" 2013012 T OAMONS (NIL) -9 NIL 2013055 NIL) (-813 2011638 2012167 2012195 "OAMON" 2012200 T OAMON (NIL) -9 NIL 2012220 NIL) (-812 2010749 2011387 2011415 "OAGROUP" 2011420 T OAGROUP (NIL) -9 NIL 2011440 NIL) (-811 2010431 2010487 2010576 "NUMTUBE" 2010693 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-810 2003950 2005522 2007058 "NUMQUAD" 2008915 T NUMQUAD (NIL) -7 NIL NIL NIL) (-809 1999670 2000694 2001719 "NUMODE" 2002945 T NUMODE (NIL) -7 NIL NIL NIL) (-808 1996951 1997891 1997919 "NUMINT" 1998842 T NUMINT (NIL) -9 NIL 1999606 NIL) (-807 1995863 1996096 1996314 "NUMFMT" 1996753 T NUMFMT (NIL) -7 NIL NIL NIL) (-806 1982046 1985167 1987699 "NUMERIC" 1993370 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-805 1975757 1981494 1981589 "NTSCAT" 1981594 NIL NTSCAT (NIL T T T T) -9 NIL 1981633 NIL) (-804 1974937 1975116 1975309 "NTPOLFN" 1975596 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-803 1961698 1971762 1972574 "NSUP" 1974158 NIL NSUP (NIL T) -8 NIL NIL NIL) (-802 1961324 1961387 1961496 "NSUP2" 1961635 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-801 1950160 1961098 1961231 "NSMP" 1961236 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-800 1948568 1948893 1949250 "NREP" 1949848 NIL NREP (NIL T) -7 NIL NIL NIL) (-799 1947147 1947411 1947769 "NPCOEF" 1948311 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-798 1946195 1946328 1946544 "NORMRETR" 1947028 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-797 1944206 1944526 1944935 "NORMPK" 1945903 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-796 1943885 1943919 1944043 "NORMMA" 1944172 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-795 1943649 1943842 1943871 "NONE" 1943876 T NONE (NIL) -8 NIL NIL NIL) (-794 1943432 1943467 1943536 "NONE1" 1943613 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-793 1942923 1942991 1943170 "NODE1" 1943364 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-792 1941015 1942046 1942301 "NNI" 1942648 T NNI (NIL) -8 NIL NIL 1942883) (-791 1939411 1939748 1940112 "NLINSOL" 1940683 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-790 1935592 1936647 1937546 "NIPROB" 1938532 T NIPROB (NIL) -8 NIL NIL NIL) (-789 1934331 1934583 1934885 "NFINTBAS" 1935354 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-788 1933415 1933981 1934022 "NETCLT" 1934194 NIL NETCLT (NIL T) -9 NIL 1934276 NIL) (-787 1932087 1932354 1932635 "NCODIV" 1933183 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-786 1931843 1931886 1931961 "NCNTFRAC" 1932044 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-785 1929999 1930387 1930807 "NCEP" 1931468 NIL NCEP (NIL T) -7 NIL NIL NIL) (-784 1928662 1929609 1929637 "NASRING" 1929747 T NASRING (NIL) -9 NIL 1929827 NIL) (-783 1928445 1928501 1928595 "NASRING-" 1928600 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-782 1927412 1928063 1928091 "NARNG" 1928208 T NARNG (NIL) -9 NIL 1928299 NIL) (-781 1927086 1927171 1927305 "NARNG-" 1927310 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-780 1925923 1926172 1926407 "NAGSP" 1926871 T NAGSP (NIL) -7 NIL NIL NIL) (-779 1916967 1918879 1920552 "NAGS" 1924270 T NAGS (NIL) -7 NIL NIL NIL) (-778 1915491 1915823 1916154 "NAGF07" 1916656 T NAGF07 (NIL) -7 NIL NIL NIL) (-777 1909963 1911320 1912627 "NAGF04" 1914204 T NAGF04 (NIL) -7 NIL NIL NIL) (-776 1902835 1904545 1906178 "NAGF02" 1908350 T NAGF02 (NIL) -7 NIL NIL NIL) (-775 1897999 1899159 1900276 "NAGF01" 1901738 T NAGF01 (NIL) -7 NIL NIL NIL) (-774 1891579 1893193 1894778 "NAGE04" 1896434 T NAGE04 (NIL) -7 NIL NIL NIL) (-773 1882640 1884869 1886999 "NAGE02" 1889469 T NAGE02 (NIL) -7 NIL NIL NIL) (-772 1878533 1879540 1880504 "NAGE01" 1881696 T NAGE01 (NIL) -7 NIL NIL NIL) (-771 1876310 1876862 1877420 "NAGD03" 1877995 T NAGD03 (NIL) -7 NIL NIL NIL) (-770 1868006 1869988 1871942 "NAGD02" 1874376 T NAGD02 (NIL) -7 NIL NIL NIL) (-769 1861745 1863242 1864682 "NAGD01" 1866586 T NAGD01 (NIL) -7 NIL NIL NIL) (-768 1857882 1858776 1859613 "NAGC06" 1860928 T NAGC06 (NIL) -7 NIL NIL NIL) (-767 1856329 1856679 1857035 "NAGC05" 1857546 T NAGC05 (NIL) -7 NIL NIL NIL) (-766 1855693 1855824 1855968 "NAGC02" 1856205 T NAGC02 (NIL) -7 NIL NIL NIL) (-765 1854494 1855221 1855261 "NAALG" 1855340 NIL NAALG (NIL T) -9 NIL 1855401 NIL) (-764 1854323 1854358 1854448 "NAALG-" 1854453 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-763 1848195 1849381 1850568 "MULTSQFR" 1853219 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-762 1847502 1847589 1847773 "MULTFACT" 1848107 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-761 1839647 1844085 1844138 "MTSCAT" 1845208 NIL MTSCAT (NIL T T) -9 NIL 1845724 NIL) (-760 1839353 1839413 1839505 "MTHING" 1839587 NIL MTHING (NIL T) -7 NIL NIL NIL) (-759 1839139 1839178 1839238 "MSYSCMD" 1839313 T MSYSCMD (NIL) -7 NIL NIL NIL) (-758 1834853 1837894 1838214 "MSET" 1838852 NIL MSET (NIL T) -8 NIL NIL NIL) (-757 1831598 1834414 1834455 "MSETAGG" 1834460 NIL MSETAGG (NIL T) -9 NIL 1834494 NIL) (-756 1827190 1828977 1829722 "MRING" 1830898 NIL MRING (NIL T T) -8 NIL NIL NIL) (-755 1826750 1826823 1826954 "MRF2" 1827117 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-754 1826362 1826403 1826547 "MRATFAC" 1826709 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-753 1823932 1824269 1824700 "MPRFF" 1826067 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-752 1817259 1823786 1823883 "MPOLY" 1823888 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-751 1816743 1816784 1816992 "MPCPF" 1817218 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-750 1816251 1816300 1816484 "MPC3" 1816694 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-749 1815434 1815527 1815748 "MPC2" 1816166 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-748 1813711 1814072 1814462 "MONOTOOL" 1815094 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-747 1812856 1813239 1813267 "MONOID" 1813486 T MONOID (NIL) -9 NIL 1813633 NIL) (-746 1812372 1812521 1812702 "MONOID-" 1812707 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-745 1801326 1808192 1808251 "MONOGEN" 1808925 NIL MONOGEN (NIL T T) -9 NIL 1809381 NIL) (-744 1798376 1799279 1800279 "MONOGEN-" 1800398 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-743 1797093 1797641 1797669 "MONADWU" 1798061 T MONADWU (NIL) -9 NIL 1798299 NIL) (-742 1796423 1796624 1796872 "MONADWU-" 1796877 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-741 1795708 1796012 1796040 "MONAD" 1796247 T MONAD (NIL) -9 NIL 1796359 NIL) (-740 1795375 1795471 1795603 "MONAD-" 1795608 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-739 1793514 1794288 1794567 "MOEBIUS" 1795128 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-738 1792682 1793182 1793222 "MODULE" 1793227 NIL MODULE (NIL T) -9 NIL 1793266 NIL) (-737 1792220 1792346 1792536 "MODULE-" 1792541 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-736 1789750 1790584 1790911 "MODRING" 1792044 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-735 1786472 1787855 1788376 "MODOP" 1789279 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-734 1784958 1785539 1785816 "MODMONOM" 1786335 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-733 1773698 1783249 1783663 "MODMON" 1784595 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-732 1770524 1772542 1772818 "MODFIELD" 1773573 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-731 1769435 1769805 1769995 "MMLFORM" 1770354 T MMLFORM (NIL) -8 NIL NIL NIL) (-730 1768955 1769004 1769183 "MMAP" 1769386 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-729 1766848 1767787 1767828 "MLO" 1768251 NIL MLO (NIL T) -9 NIL 1768493 NIL) (-728 1764196 1764730 1765332 "MLIFT" 1766329 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-727 1763575 1763671 1763825 "MKUCFUNC" 1764107 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-726 1763168 1763244 1763367 "MKRECORD" 1763498 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-725 1762191 1762377 1762605 "MKFUNC" 1762979 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-724 1761567 1761683 1761839 "MKFLCFN" 1762074 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-723 1760832 1760946 1761131 "MKBCFUNC" 1761460 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-722 1756815 1760386 1760522 "MINT" 1760716 T MINT (NIL) -8 NIL NIL NIL) (-721 1755597 1755870 1756147 "MHROWRED" 1756570 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-720 1750341 1754132 1754537 "MFLOAT" 1755212 T MFLOAT (NIL) -8 NIL NIL NIL) (-719 1749686 1749774 1749945 "MFINFACT" 1750253 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-718 1745965 1746849 1747733 "MESH" 1748822 T MESH (NIL) -7 NIL NIL NIL) (-717 1744319 1744667 1745020 "MDDFACT" 1745652 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-716 1740855 1743450 1743491 "MDAGG" 1743746 NIL MDAGG (NIL T) -9 NIL 1743889 NIL) (-715 1728557 1740148 1740355 "MCMPLX" 1740668 T MCMPLX (NIL) -8 NIL NIL NIL) (-714 1727676 1727840 1728041 "MCDEN" 1728406 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-713 1725524 1725836 1726216 "MCALCFN" 1727406 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-712 1724401 1724689 1724922 "MAYBE" 1725330 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-711 1721959 1722536 1723098 "MATSTOR" 1723872 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-710 1717381 1721331 1721579 "MATRIX" 1721744 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-709 1713081 1713854 1714590 "MATLIN" 1716738 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-708 1702427 1706138 1706215 "MATCAT" 1711247 NIL MATCAT (NIL T T T) -9 NIL 1712719 NIL) (-707 1698380 1699690 1701103 "MATCAT-" 1701108 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-706 1696956 1697127 1697460 "MATCAT2" 1698215 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-705 1695032 1695392 1695776 "MAPPKG3" 1696631 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-704 1693989 1694186 1694408 "MAPPKG2" 1694856 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-703 1692446 1692772 1693099 "MAPPKG1" 1693695 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-702 1691447 1691852 1692029 "MAPPAST" 1692289 T MAPPAST (NIL) -8 NIL NIL NIL) (-701 1691052 1691116 1691239 "MAPHACK3" 1691383 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-700 1690632 1690705 1690819 "MAPHACK2" 1690984 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-699 1690058 1690173 1690315 "MAPHACK1" 1690523 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-698 1687981 1688758 1689062 "MAGMA" 1689786 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-697 1687400 1687705 1687796 "MACROAST" 1687910 T MACROAST (NIL) -8 NIL NIL NIL) (-696 1683643 1685639 1686100 "M3D" 1686972 NIL M3D (NIL T) -8 NIL NIL NIL) (-695 1677123 1681954 1681995 "LZSTAGG" 1682777 NIL LZSTAGG (NIL T) -9 NIL 1683072 NIL) (-694 1672805 1674254 1675711 "LZSTAGG-" 1675716 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-693 1669718 1670696 1671183 "LWORD" 1672350 NIL LWORD (NIL T) -8 NIL NIL NIL) (-692 1669240 1669522 1669597 "LSTAST" 1669663 T LSTAST (NIL) -8 NIL NIL NIL) (-691 1661168 1669011 1669145 "LSQM" 1669150 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-690 1660386 1660531 1660759 "LSPP" 1661023 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-689 1658168 1658499 1658955 "LSMP" 1660075 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-688 1654905 1655621 1656351 "LSMP1" 1657470 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-687 1648041 1653995 1654036 "LSAGG" 1654098 NIL LSAGG (NIL T) -9 NIL 1654176 NIL) (-686 1644550 1645660 1646873 "LSAGG-" 1646878 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-685 1641845 1643694 1643943 "LPOLY" 1644345 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-684 1641421 1641512 1641635 "LPEFRAC" 1641754 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-683 1639598 1640515 1640768 "LO" 1641253 NIL LO (NIL T T T) -8 NIL NIL NIL) (-682 1639174 1639348 1639376 "LOGIC" 1639487 T LOGIC (NIL) -9 NIL 1639568 NIL) (-681 1639030 1639059 1639130 "LOGIC-" 1639135 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-680 1638205 1638363 1638556 "LODOOPS" 1638886 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-679 1635300 1638121 1638187 "LODO" 1638192 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-678 1633824 1634073 1634426 "LODOF" 1635047 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-677 1629700 1632459 1632500 "LODOCAT" 1632938 NIL LODOCAT (NIL T) -9 NIL 1633149 NIL) (-676 1629415 1629491 1629618 "LODOCAT-" 1629623 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-675 1626401 1629256 1629374 "LODO2" 1629379 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-674 1623508 1626338 1626383 "LODO1" 1626388 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-673 1622377 1622554 1622859 "LODEEF" 1623331 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-672 1617349 1620543 1620584 "LNAGG" 1621446 NIL LNAGG (NIL T) -9 NIL 1621881 NIL) (-671 1616442 1616710 1617052 "LNAGG-" 1617057 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-670 1612422 1613367 1614006 "LMOPS" 1615857 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-669 1611721 1612199 1612240 "LMODULE" 1612245 NIL LMODULE (NIL T) -9 NIL 1612271 NIL) (-668 1608676 1611366 1611489 "LMDICT" 1611631 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-667 1608252 1608466 1608507 "LLINSET" 1608568 NIL LLINSET (NIL T) -9 NIL 1608612 NIL) (-666 1607897 1608160 1608220 "LITERAL" 1608225 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-665 1600351 1606831 1607135 "LIST" 1607626 NIL LIST (NIL T) -8 NIL NIL NIL) (-664 1599870 1599950 1600089 "LIST3" 1600271 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-663 1598859 1599055 1599283 "LIST2" 1599688 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-662 1596957 1597305 1597704 "LIST2MAP" 1598506 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-661 1596540 1596776 1596817 "LINSET" 1596822 NIL LINSET (NIL T) -9 NIL 1596856 NIL) (-660 1595354 1596048 1596215 "LINFORM" 1596425 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-659 1593653 1594381 1594422 "LINEXP" 1594912 NIL LINEXP (NIL T) -9 NIL 1595185 NIL) (-658 1592229 1593133 1593314 "LINELT" 1593524 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-657 1590786 1591066 1591377 "LINDEP" 1591981 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-656 1589922 1590518 1590628 "LINBASIS" 1590716 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-655 1586659 1587408 1588185 "LIMITRF" 1589177 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-654 1584944 1585258 1585667 "LIMITPS" 1586354 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-653 1578964 1584455 1584683 "LIE" 1584765 NIL LIE (NIL T T) -8 NIL NIL NIL) (-652 1577792 1578367 1578407 "LIECAT" 1578547 NIL LIECAT (NIL T) -9 NIL 1578698 NIL) (-651 1577627 1577660 1577748 "LIECAT-" 1577753 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-650 1569814 1577167 1577323 "LIB" 1577491 T LIB (NIL) -8 NIL NIL NIL) (-649 1565383 1566332 1567267 "LGROBP" 1568931 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-648 1563321 1563655 1564005 "LF" 1565104 NIL LF (NIL T T) -7 NIL NIL NIL) (-647 1561945 1562853 1562881 "LFCAT" 1563088 T LFCAT (NIL) -9 NIL 1563227 NIL) (-646 1558805 1559477 1560165 "LEXTRIPK" 1561309 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-645 1555393 1556375 1556878 "LEXP" 1558385 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-644 1554809 1555114 1555206 "LETAST" 1555321 T LETAST (NIL) -8 NIL NIL NIL) (-643 1553195 1553520 1553921 "LEADCDET" 1554491 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-642 1552373 1552459 1552688 "LAZM3PK" 1553116 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-641 1546884 1550450 1550988 "LAUPOL" 1551885 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-640 1546457 1546507 1546668 "LAPLACE" 1546834 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-639 1544194 1545558 1545809 "LA" 1546290 NIL LA (NIL T T T) -8 NIL NIL NIL) (-638 1543042 1543758 1543799 "LALG" 1543861 NIL LALG (NIL T) -9 NIL 1543920 NIL) (-637 1542738 1542815 1542951 "LALG-" 1542956 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-636 1542567 1542597 1542638 "KVTFROM" 1542700 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-635 1541406 1541934 1542119 "KTVLOGIC" 1542402 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-634 1541235 1541265 1541306 "KRCFROM" 1541368 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-633 1540127 1540326 1540625 "KOVACIC" 1541035 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-632 1539956 1539986 1540027 "KONVERT" 1540089 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-631 1539785 1539815 1539856 "KOERCE" 1539918 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-630 1537472 1538378 1538755 "KERNEL" 1539441 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-629 1536956 1537049 1537181 "KERNEL2" 1537386 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-628 1530427 1535433 1535487 "KDAGG" 1535864 NIL KDAGG (NIL T T) -9 NIL 1536070 NIL) (-627 1529938 1530080 1530285 "KDAGG-" 1530290 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-626 1522638 1529599 1529754 "KAFILE" 1529816 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-625 1522242 1522527 1522590 "JVMOP" 1522595 T JVMOP (NIL) -8 NIL NIL NIL) (-624 1520978 1521482 1521731 "JVMMDACC" 1522013 T JVMMDACC (NIL) -8 NIL NIL NIL) (-623 1519914 1520368 1520573 "JVMFDACC" 1520793 T JVMFDACC (NIL) -8 NIL NIL NIL) (-622 1518495 1518990 1519290 "JVMCSTTG" 1519634 T JVMCSTTG (NIL) -8 NIL NIL NIL) (-621 1517631 1518035 1518196 "JVMCFACC" 1518354 T JVMCFACC (NIL) -8 NIL NIL NIL) (-620 1517309 1517548 1517597 "JVMBCODE" 1517602 T JVMBCODE (NIL) -8 NIL NIL NIL) (-619 1511329 1516820 1517048 "JORDAN" 1517130 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1510642 1510978 1511099 "JOINAST" 1511228 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1506677 1508819 1508873 "IXAGG" 1509802 NIL IXAGG (NIL T T) -9 NIL 1510261 NIL) (-616 1505530 1505902 1506321 "IXAGG-" 1506326 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-615 1500619 1505452 1505511 "IVECTOR" 1505516 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-614 1499343 1499622 1499888 "ITUPLE" 1500386 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-613 1497815 1498022 1498317 "ITRIGMNP" 1499165 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-612 1496542 1496764 1497047 "ITFUN3" 1497591 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-611 1496168 1496231 1496340 "ITFUN2" 1496479 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-610 1495273 1495648 1495822 "ITFORM" 1496014 T ITFORM (NIL) -8 NIL NIL NIL) (-609 1493042 1494293 1494571 "ITAYLOR" 1495028 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-608 1481439 1487179 1488342 "ISUPS" 1491912 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-607 1480531 1480683 1480919 "ISUMP" 1481286 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-606 1475381 1480476 1480517 "ISTRING" 1480522 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-605 1474797 1475102 1475194 "ISAST" 1475309 T ISAST (NIL) -8 NIL NIL NIL) (-604 1473994 1474088 1474304 "IRURPK" 1474711 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-603 1472906 1473131 1473371 "IRSN" 1473774 T IRSN (NIL) -7 NIL NIL NIL) (-602 1470951 1471332 1471761 "IRRF2F" 1472544 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-601 1470692 1470736 1470812 "IRREDFFX" 1470907 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-600 1469265 1469566 1469865 "IROOT" 1470425 NIL IROOT (NIL T) -7 NIL NIL NIL) (-599 1465705 1466949 1467641 "IR" 1468605 NIL IR (NIL T) -8 NIL NIL NIL) (-598 1464844 1465198 1465349 "IRFORM" 1465574 T IRFORM (NIL) -8 NIL NIL NIL) (-597 1462433 1462952 1463518 "IR2" 1464322 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-596 1461515 1461646 1461860 "IR2F" 1462316 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-595 1461300 1461340 1461400 "IPRNTPK" 1461475 T IPRNTPK (NIL) -7 NIL NIL NIL) (-594 1457253 1461189 1461258 "IPF" 1461263 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-593 1455274 1457178 1457235 "IPADIC" 1457240 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-592 1454532 1454834 1454964 "IP4ADDR" 1455164 T IP4ADDR (NIL) -8 NIL NIL NIL) (-591 1453870 1454161 1454293 "IOMODE" 1454420 T IOMODE (NIL) -8 NIL NIL NIL) (-590 1452841 1453467 1453594 "IOBFILE" 1453763 T IOBFILE (NIL) -8 NIL NIL NIL) (-589 1452251 1452745 1452773 "IOBCON" 1452778 T IOBCON (NIL) -9 NIL 1452799 NIL) (-588 1451756 1451820 1452003 "INVLAPLA" 1452187 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-587 1441326 1443758 1446144 "INTTR" 1449420 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-586 1437619 1438403 1439268 "INTTOOLS" 1440511 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-585 1437199 1437296 1437413 "INTSLPE" 1437522 T INTSLPE (NIL) -7 NIL NIL NIL) (-584 1434666 1437122 1437181 "INTRVL" 1437186 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-583 1432244 1432780 1433355 "INTRF" 1434151 NIL INTRF (NIL T) -7 NIL NIL NIL) (-582 1431637 1431752 1431894 "INTRET" 1432142 NIL INTRET (NIL T) -7 NIL NIL NIL) (-581 1429610 1430023 1430493 "INTRAT" 1431245 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-580 1426855 1427456 1428075 "INTPM" 1429095 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-579 1423572 1424199 1424937 "INTPAF" 1426241 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-578 1418673 1419713 1420764 "INTPACK" 1422541 T INTPACK (NIL) -7 NIL NIL NIL) (-577 1414861 1418470 1418579 "INT" 1418584 T INT (NIL) -8 NIL NIL NIL) (-576 1414107 1414265 1414473 "INTHERTR" 1414703 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-575 1413540 1413626 1413814 "INTHERAL" 1414021 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-574 1411308 1411829 1412286 "INTHEORY" 1413103 T INTHEORY (NIL) -7 NIL NIL NIL) (-573 1402640 1404335 1406107 "INTG0" 1409660 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-572 1383165 1388003 1392813 "INTFTBL" 1397850 T INTFTBL (NIL) -8 NIL NIL NIL) (-571 1382390 1382552 1382725 "INTFACT" 1383024 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-570 1379787 1380263 1380820 "INTEF" 1381944 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-569 1377984 1378879 1378907 "INTDOM" 1379208 T INTDOM (NIL) -9 NIL 1379415 NIL) (-568 1377323 1377527 1377769 "INTDOM-" 1377774 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-567 1373197 1375612 1375666 "INTCAT" 1376465 NIL INTCAT (NIL T) -9 NIL 1376786 NIL) (-566 1372651 1372772 1372900 "INTBIT" 1373089 T INTBIT (NIL) -7 NIL NIL NIL) (-565 1371332 1371504 1371811 "INTALG" 1372496 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-564 1370809 1370905 1371062 "INTAF" 1371236 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-563 1363776 1370619 1370759 "INTABL" 1370764 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-562 1363013 1363575 1363640 "INT8" 1363674 T INT8 (NIL) -8 NIL NIL 1363719) (-561 1362249 1362811 1362876 "INT64" 1362910 T INT64 (NIL) -8 NIL NIL 1362955) (-560 1361485 1362047 1362112 "INT32" 1362146 T INT32 (NIL) -8 NIL NIL 1362191) (-559 1360721 1361283 1361348 "INT16" 1361382 T INT16 (NIL) -8 NIL NIL 1361427) (-558 1354822 1358269 1358297 "INS" 1359231 T INS (NIL) -9 NIL 1359896 NIL) (-557 1351876 1352833 1353807 "INS-" 1353880 NIL INS- (NIL T) -8 NIL NIL NIL) (-556 1350633 1350878 1351176 "INPSIGN" 1351629 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-555 1349727 1349868 1350065 "INPRODPF" 1350513 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-554 1348597 1348738 1348975 "INPRODFF" 1349607 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-553 1347585 1347749 1348009 "INNMFACT" 1348433 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-552 1346764 1346879 1347067 "INMODGCD" 1347484 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-551 1345248 1345517 1345841 "INFSP" 1346509 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-550 1344408 1344549 1344732 "INFPROD0" 1345128 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-549 1340975 1342473 1342988 "INFORM" 1343901 T INFORM (NIL) -8 NIL NIL NIL) (-548 1340573 1340645 1340743 "INFORM1" 1340910 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-547 1340078 1340185 1340299 "INFINITY" 1340479 T INFINITY (NIL) -7 NIL NIL NIL) (-546 1339152 1339798 1339899 "INETCLTS" 1339997 T INETCLTS (NIL) -8 NIL NIL NIL) (-545 1337750 1338018 1338339 "INEP" 1338900 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-544 1336811 1337647 1337712 "INDE" 1337717 NIL INDE (NIL T) -8 NIL NIL NIL) (-543 1336363 1336443 1336560 "INCRMAPS" 1336738 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-542 1335085 1335632 1335838 "INBFILE" 1336177 T INBFILE (NIL) -8 NIL NIL NIL) (-541 1330264 1331321 1332265 "INBFF" 1334173 NIL INBFF (NIL T) -7 NIL NIL NIL) (-540 1329118 1329441 1329469 "INBCON" 1329982 T INBCON (NIL) -9 NIL 1330248 NIL) (-539 1328328 1328593 1328869 "INBCON-" 1328874 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-538 1327747 1328052 1328143 "INAST" 1328257 T INAST (NIL) -8 NIL NIL NIL) (-537 1327114 1327426 1327532 "IMPTAST" 1327661 T IMPTAST (NIL) -8 NIL NIL NIL) (-536 1323035 1326958 1327062 "IMATRIX" 1327067 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-535 1321727 1321866 1322182 "IMATQF" 1322891 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-534 1319907 1320174 1320511 "IMATLIN" 1321483 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-533 1313822 1319831 1319889 "ILIST" 1319894 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-532 1311488 1313682 1313795 "IIARRAY2" 1313800 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-531 1306288 1311399 1311463 "IFF" 1311468 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-530 1305569 1305905 1306021 "IFAST" 1306192 T IFAST (NIL) -8 NIL NIL NIL) (-529 1300081 1304861 1305049 "IFARRAY" 1305426 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-528 1299119 1299985 1300058 "IFAMON" 1300063 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-527 1298691 1298768 1298822 "IEVALAB" 1299029 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-526 1298354 1298434 1298594 "IEVALAB-" 1298599 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-525 1297735 1298269 1298331 "IDPO" 1298336 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-524 1296799 1297624 1297699 "IDPOAMS" 1297704 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-523 1295932 1296688 1296763 "IDPOAM" 1296768 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-522 1294412 1294939 1294991 "IDPC" 1295503 NIL IDPC (NIL T T) -9 NIL 1295784 NIL) (-521 1293744 1294304 1294377 "IDPAM" 1294382 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-520 1292959 1293636 1293709 "IDPAG" 1293714 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-519 1292503 1292765 1292855 "IDENT" 1292889 T IDENT (NIL) -8 NIL NIL NIL) (-518 1288722 1289606 1290501 "IDECOMP" 1291660 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-517 1281357 1282645 1283692 "IDEAL" 1287758 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-516 1280499 1280629 1280829 "ICDEN" 1281241 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-515 1279474 1279979 1280126 "ICARD" 1280372 T ICARD (NIL) -8 NIL NIL NIL) (-514 1277504 1277847 1278252 "IBPTOOLS" 1279151 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-513 1272619 1277124 1277237 "IBITS" 1277423 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-512 1269294 1269918 1270613 "IBATOOL" 1272036 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-511 1267055 1267535 1268068 "IBACHIN" 1268829 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-510 1264645 1266901 1267004 "IARRAY2" 1267009 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-509 1260358 1264571 1264628 "IARRAY1" 1264633 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-508 1253368 1258770 1259251 "IAN" 1259897 T IAN (NIL) -8 NIL NIL NIL) (-507 1252873 1252936 1253109 "IALGFACT" 1253305 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-506 1252365 1252514 1252542 "HYPCAT" 1252749 T HYPCAT (NIL) -9 NIL NIL NIL) (-505 1251867 1252020 1252206 "HYPCAT-" 1252211 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-504 1251414 1251662 1251745 "HOSTNAME" 1251804 T HOSTNAME (NIL) -8 NIL NIL NIL) (-503 1251247 1251296 1251337 "HOMOTOP" 1251342 NIL HOMOTOP (NIL T) -9 NIL 1251375 NIL) (-502 1247680 1249179 1249220 "HOAGG" 1250201 NIL HOAGG (NIL T) -9 NIL 1250930 NIL) (-501 1246196 1246673 1247199 "HOAGG-" 1247204 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-500 1239232 1245789 1245939 "HEXADEC" 1246066 T HEXADEC (NIL) -8 NIL NIL NIL) (-499 1237944 1238202 1238465 "HEUGCD" 1239009 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-498 1236876 1237781 1237911 "HELLFDIV" 1237916 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-497 1234886 1236653 1236741 "HEAP" 1236820 NIL HEAP (NIL T) -8 NIL NIL NIL) (-496 1234083 1234438 1234572 "HEADAST" 1234772 T HEADAST (NIL) -8 NIL NIL NIL) (-495 1227470 1233998 1234060 "HDP" 1234065 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-494 1220482 1227105 1227257 "HDMP" 1227371 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-493 1219788 1219946 1220110 "HB" 1220338 T HB (NIL) -7 NIL NIL NIL) (-492 1212798 1219634 1219738 "HASHTBL" 1219743 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-491 1212214 1212519 1212611 "HASAST" 1212726 T HASAST (NIL) -8 NIL NIL NIL) (-490 1209620 1211836 1212018 "HACKPI" 1212052 T HACKPI (NIL) -8 NIL NIL NIL) (-489 1204792 1209473 1209586 "GTSET" 1209591 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-488 1197831 1204670 1204768 "GSTBL" 1204773 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-487 1189580 1196996 1197252 "GSERIES" 1197631 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-486 1188611 1189124 1189152 "GROUP" 1189355 T GROUP (NIL) -9 NIL 1189489 NIL) (-485 1187935 1188136 1188387 "GROUP-" 1188392 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-484 1186284 1186623 1187010 "GROEBSOL" 1187612 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-483 1185112 1185472 1185523 "GRMOD" 1186052 NIL GRMOD (NIL T T) -9 NIL 1186220 NIL) (-482 1184868 1184916 1185044 "GRMOD-" 1185049 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-481 1180008 1181222 1182222 "GRIMAGE" 1183888 T GRIMAGE (NIL) -8 NIL NIL NIL) (-480 1178402 1178735 1179059 "GRDEF" 1179704 T GRDEF (NIL) -7 NIL NIL NIL) (-479 1177834 1177962 1178103 "GRAY" 1178281 T GRAY (NIL) -7 NIL NIL NIL) (-478 1176911 1177413 1177464 "GRALG" 1177617 NIL GRALG (NIL T T) -9 NIL 1177710 NIL) (-477 1176548 1176645 1176808 "GRALG-" 1176813 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-476 1173029 1176131 1176310 "GPOLSET" 1176454 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-475 1172377 1172440 1172698 "GOSPER" 1172966 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-474 1167947 1168815 1169341 "GMODPOL" 1172076 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-473 1166934 1167136 1167374 "GHENSEL" 1167759 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-472 1161006 1161933 1162953 "GENUPS" 1166018 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-471 1160697 1160754 1160843 "GENUFACT" 1160949 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-470 1160097 1160186 1160351 "GENPGCD" 1160615 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-469 1159565 1159606 1159819 "GENMFACT" 1160056 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-468 1158101 1158388 1158695 "GENEEZ" 1159308 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-467 1151273 1157712 1157874 "GDMP" 1158024 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-466 1140012 1145044 1146150 "GCNAALG" 1150256 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-465 1138139 1139187 1139215 "GCDDOM" 1139470 T GCDDOM (NIL) -9 NIL 1139627 NIL) (-464 1137579 1137736 1137951 "GCDDOM-" 1137956 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-463 1136229 1136436 1136740 "GB" 1137358 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-462 1124701 1127175 1129567 "GBINTERN" 1133920 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-461 1122502 1122830 1123251 "GBF" 1124376 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-460 1121259 1121448 1121715 "GBEUCLID" 1122318 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-459 1120590 1120733 1120882 "GAUSSFAC" 1121130 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-458 1118911 1119259 1119573 "GALUTIL" 1120309 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-457 1117171 1117493 1117817 "GALPOLYU" 1118638 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-456 1114470 1114826 1115233 "GALFACTU" 1116868 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-455 1106084 1107775 1109383 "GALFACT" 1112902 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-454 1103370 1104130 1104158 "FVFUN" 1105314 T FVFUN (NIL) -9 NIL 1106034 NIL) (-453 1102600 1102818 1102846 "FVC" 1103137 T FVC (NIL) -9 NIL 1103320 NIL) (-452 1102201 1102425 1102493 "FUNDESC" 1102552 T FUNDESC (NIL) -8 NIL NIL NIL) (-451 1101774 1101998 1102079 "FUNCTION" 1102153 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-450 1099404 1100096 1100562 "FT" 1101328 T FT (NIL) -8 NIL NIL NIL) (-449 1098081 1098705 1098908 "FTEM" 1099221 T FTEM (NIL) -8 NIL NIL NIL) (-448 1096350 1096661 1097058 "FSUPFACT" 1097772 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-447 1094669 1095036 1095368 "FST" 1096038 T FST (NIL) -8 NIL NIL NIL) (-446 1093850 1093974 1094162 "FSRED" 1094551 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-445 1092539 1092805 1093152 "FSPRMELT" 1093565 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-444 1089749 1090283 1090769 "FSPECF" 1092102 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-443 1069976 1079523 1079564 "FS" 1083448 NIL FS (NIL T) -9 NIL 1085737 NIL) (-442 1058037 1061612 1065669 "FS-" 1065969 NIL FS- (NIL T T) -8 NIL NIL NIL) (-441 1057559 1057619 1057789 "FSINT" 1057978 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-440 1055695 1056552 1056855 "FSERIES" 1057338 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-439 1054719 1054853 1055077 "FSCINT" 1055575 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-438 1050583 1053663 1053704 "FSAGG" 1054074 NIL FSAGG (NIL T) -9 NIL 1054333 NIL) (-437 1048183 1048946 1049742 "FSAGG-" 1049837 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-436 1047207 1047368 1047595 "FSAGG2" 1048036 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-435 1044867 1045165 1045713 "FS2UPS" 1046925 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-434 1044495 1044544 1044673 "FS2" 1044818 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-433 1043361 1043544 1043846 "FS2EXPXP" 1044320 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-432 1042775 1042902 1043054 "FRUTIL" 1043241 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-431 1033692 1038270 1039628 "FR" 1041449 NIL FR (NIL T) -8 NIL NIL NIL) (-430 1028210 1031381 1031421 "FRNAALG" 1032741 NIL FRNAALG (NIL T) -9 NIL 1033339 NIL) (-429 1023691 1024959 1026234 "FRNAALG-" 1026984 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-428 1023323 1023372 1023499 "FRNAAF2" 1023642 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-427 1021610 1022172 1022468 "FRMOD" 1023135 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-426 1019215 1019985 1020303 "FRIDEAL" 1021401 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-425 1018400 1018493 1018784 "FRIDEAL2" 1019122 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-424 1017491 1017947 1017988 "FRETRCT" 1017993 NIL FRETRCT (NIL T) -9 NIL 1018169 NIL) (-423 1016549 1016834 1017185 "FRETRCT-" 1017190 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-422 1013363 1014833 1014892 "FRAMALG" 1015774 NIL FRAMALG (NIL T T) -9 NIL 1016066 NIL) (-421 1011401 1011952 1012582 "FRAMALG-" 1012805 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-420 1004372 1010874 1011151 "FRAC" 1011156 NIL FRAC (NIL T) -8 NIL NIL NIL) (-419 1004002 1004065 1004172 "FRAC2" 1004309 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-418 1003632 1003695 1003802 "FR2" 1003939 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-417 997549 1001011 1001039 "FPS" 1002158 T FPS (NIL) -9 NIL 1002715 NIL) (-416 996974 997107 997271 "FPS-" 997417 NIL FPS- (NIL T) -8 NIL NIL NIL) (-415 993926 995931 995959 "FPC" 996184 T FPC (NIL) -9 NIL 996326 NIL) (-414 993707 993759 993856 "FPC-" 993861 NIL FPC- (NIL T) -8 NIL NIL NIL) (-413 992465 993195 993236 "FPATMAB" 993241 NIL FPATMAB (NIL T) -9 NIL 993393 NIL) (-412 990608 991207 991554 "FPARFRAC" 992181 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-411 985900 986500 987182 "FORTRAN" 990040 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-410 983586 984116 984655 "FORT" 985381 T FORT (NIL) -7 NIL NIL NIL) (-409 981160 981824 981852 "FORTFN" 982912 T FORTFN (NIL) -9 NIL 983536 NIL) (-408 980912 980974 981002 "FORTCAT" 981061 T FORTCAT (NIL) -9 NIL 981123 NIL) (-407 978916 979528 979918 "FORMULA" 980542 T FORMULA (NIL) -8 NIL NIL NIL) (-406 978698 978734 978803 "FORMULA1" 978880 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-405 978215 978273 978446 "FORDER" 978640 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-404 977275 977475 977668 "FOP" 978042 T FOP (NIL) -7 NIL NIL NIL) (-403 975688 976555 976729 "FNLA" 977157 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-402 974307 974818 974846 "FNCAT" 975306 T FNCAT (NIL) -9 NIL 975566 NIL) (-401 973750 974266 974294 "FNAME" 974299 T FNAME (NIL) -8 NIL NIL NIL) (-400 972076 973249 973277 "FMTC" 973282 T FMTC (NIL) -9 NIL 973318 NIL) (-399 970624 972012 972058 "FMONOID" 972063 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-398 967213 968579 968620 "FMONCAT" 969837 NIL FMONCAT (NIL T) -9 NIL 970442 NIL) (-397 966231 966955 967104 "FM" 967109 NIL FM (NIL T T) -8 NIL NIL NIL) (-396 963553 964301 964329 "FMFUN" 965473 T FMFUN (NIL) -9 NIL 966181 NIL) (-395 962786 963003 963031 "FMC" 963321 T FMC (NIL) -9 NIL 963503 NIL) (-394 959659 960711 960765 "FMCAT" 961960 NIL FMCAT (NIL T T) -9 NIL 962455 NIL) (-393 958327 959425 959525 "FM1" 959604 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-392 956065 956517 957011 "FLOATRP" 957878 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-391 948721 953794 954415 "FLOAT" 955464 T FLOAT (NIL) -8 NIL NIL NIL) (-390 946123 946659 947237 "FLOATCP" 948188 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-389 944641 945715 945756 "FLINEXP" 945761 NIL FLINEXP (NIL T) -9 NIL 945854 NIL) (-388 943771 944030 944358 "FLINEXP-" 944363 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-387 942829 942991 943215 "FLASORT" 943623 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-386 939747 940799 940851 "FLALG" 942078 NIL FLALG (NIL T T) -9 NIL 942545 NIL) (-385 933011 937156 937197 "FLAGG" 938459 NIL FLAGG (NIL T) -9 NIL 939111 NIL) (-384 931665 932076 932566 "FLAGG-" 932571 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 930689 930850 931077 "FLAGG2" 931518 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-382 927320 928534 928593 "FINRALG" 929721 NIL FINRALG (NIL T T) -9 NIL 930229 NIL) (-381 926444 926709 927048 "FINRALG-" 927053 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-380 925750 926049 926077 "FINITE" 926273 T FINITE (NIL) -9 NIL 926380 NIL) (-379 917701 920280 920320 "FINAALG" 923987 NIL FINAALG (NIL T) -9 NIL 925440 NIL) (-378 912817 914083 915227 "FINAALG-" 916606 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-377 912095 912572 912675 "FILE" 912747 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 910655 911077 911131 "FILECAT" 911815 NIL FILECAT (NIL T T) -9 NIL 912031 NIL) (-375 908051 909885 909913 "FIELD" 909953 T FIELD (NIL) -9 NIL 910033 NIL) (-374 906593 907056 907567 "FIELD-" 907572 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-373 904275 905228 905575 "FGROUP" 906279 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-372 903347 903529 903749 "FGLMICPK" 904107 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-371 898581 903272 903329 "FFX" 903334 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-370 898176 898243 898378 "FFSLPE" 898514 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-369 894052 894948 895744 "FFPOLY" 897412 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 893550 893592 893801 "FFPOLY2" 894010 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-367 888798 893469 893532 "FFP" 893537 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-366 883598 888709 888773 "FF" 888778 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-365 878108 882941 883131 "FFNBX" 883452 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-364 872420 877243 877501 "FFNBP" 877962 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-363 866437 871704 871915 "FFNB" 872253 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-362 865257 865467 865782 "FFINTBAS" 866234 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-361 860833 863504 863532 "FFIELDC" 864152 T FFIELDC (NIL) -9 NIL 864528 NIL) (-360 859411 859866 860363 "FFIELDC-" 860368 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-359 858968 859026 859150 "FFHOM" 859353 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-358 856627 857150 857667 "FFF" 858483 NIL FFF (NIL T) -7 NIL NIL NIL) (-357 851641 856369 856470 "FFCGX" 856570 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-356 846659 851373 851480 "FFCGP" 851584 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-355 841238 846386 846494 "FFCG" 846595 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-354 819901 830970 831056 "FFCAT" 836221 NIL FFCAT (NIL T T T) -9 NIL 837672 NIL) (-353 814912 816146 817460 "FFCAT-" 818690 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-352 814317 814366 814601 "FFCAT2" 814863 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-351 802970 807289 808509 "FEXPR" 813169 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-350 801898 802367 802408 "FEVALAB" 802492 NIL FEVALAB (NIL T) -9 NIL 802753 NIL) (-349 801015 801267 801605 "FEVALAB-" 801610 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-348 799425 800398 800601 "FDIV" 800914 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-347 796287 797172 797287 "FDIVCAT" 798855 NIL FDIVCAT (NIL T T T T) -9 NIL 799292 NIL) (-346 796043 796076 796246 "FDIVCAT-" 796251 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-345 795257 795350 795627 "FDIV2" 795950 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-344 794165 794552 794754 "FCTRDATA" 795075 T FCTRDATA (NIL) -8 NIL NIL NIL) (-343 792821 793110 793399 "FCPAK1" 793896 T FCPAK1 (NIL) -7 NIL NIL NIL) (-342 791824 792321 792462 "FCOMP" 792712 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-341 775139 778974 782512 "FC" 788306 T FC (NIL) -8 NIL NIL NIL) (-340 766834 771460 771500 "FAXF" 773302 NIL FAXF (NIL T) -9 NIL 773994 NIL) (-339 763955 764768 765593 "FAXF-" 766058 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-338 758524 763331 763507 "FARRAY" 763812 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-337 753088 755471 755524 "FAMR" 756547 NIL FAMR (NIL T T) -9 NIL 757007 NIL) (-336 751912 752280 752715 "FAMR-" 752720 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-335 750939 751834 751887 "FAMONOID" 751892 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-334 748569 749421 749474 "FAMONC" 750415 NIL FAMONC (NIL T T) -9 NIL 750801 NIL) (-333 747043 748323 748460 "FAGROUP" 748465 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-332 744796 745157 745560 "FACUTIL" 746724 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-331 743883 744080 744302 "FACTFUNC" 744606 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-330 735641 743186 743385 "EXPUPXS" 743739 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-329 733094 733664 734250 "EXPRTUBE" 735075 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-328 729305 729957 730687 "EXPRODE" 732433 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-327 713599 727954 728383 "EXPR" 728909 NIL EXPR (NIL T) -8 NIL NIL NIL) (-326 708033 708740 709546 "EXPR2UPS" 712897 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-325 707659 707722 707831 "EXPR2" 707970 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-324 697976 706810 707101 "EXPEXPAN" 707495 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-323 697740 697933 697962 "EXIT" 697967 T EXIT (NIL) -8 NIL NIL NIL) (-322 697160 697464 697555 "EXITAST" 697669 T EXITAST (NIL) -8 NIL NIL NIL) (-321 696781 696849 696962 "EVALCYC" 697092 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-320 696298 696440 696481 "EVALAB" 696651 NIL EVALAB (NIL T) -9 NIL 696755 NIL) (-319 695755 695901 696122 "EVALAB-" 696127 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-318 692863 694411 694439 "EUCDOM" 694994 T EUCDOM (NIL) -9 NIL 695344 NIL) (-317 691202 691710 692300 "EUCDOM-" 692305 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-316 678519 681500 684250 "ESTOOLS" 688472 T ESTOOLS (NIL) -7 NIL NIL NIL) (-315 678145 678208 678317 "ESTOOLS2" 678456 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-314 677890 677938 678018 "ESTOOLS1" 678097 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-313 671591 673521 673549 "ES" 676317 T ES (NIL) -9 NIL 677727 NIL) (-312 666268 667825 669642 "ES-" 669806 NIL ES- (NIL T) -8 NIL NIL NIL) (-311 662576 663403 664183 "ESCONT" 665508 T ESCONT (NIL) -7 NIL NIL NIL) (-310 662315 662353 662435 "ESCONT1" 662538 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-309 661984 662040 662140 "ES2" 662259 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-308 661608 661672 661781 "ES1" 661920 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-307 660800 660953 661129 "ERROR" 661452 T ERROR (NIL) -7 NIL NIL NIL) (-306 653816 660659 660750 "EQTBL" 660755 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-305 646075 649130 650579 "EQ" 652400 NIL -2136 (NIL T) -8 NIL NIL NIL) (-304 645701 645764 645873 "EQ2" 646012 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-303 640944 642039 643132 "EP" 644640 NIL EP (NIL T) -7 NIL NIL NIL) (-302 639484 639835 640141 "ENV" 640658 T ENV (NIL) -8 NIL NIL NIL) (-301 638444 639118 639146 "ENTIRER" 639151 T ENTIRER (NIL) -9 NIL 639197 NIL) (-300 634856 636626 636987 "EMR" 638252 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-299 633960 634171 634225 "ELTAGG" 634605 NIL ELTAGG (NIL T T) -9 NIL 634816 NIL) (-298 633667 633741 633882 "ELTAGG-" 633887 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-297 633425 633460 633514 "ELTAB" 633598 NIL ELTAB (NIL T T) -9 NIL 633650 NIL) (-296 632527 632697 632896 "ELFUTS" 633276 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-295 632251 632325 632353 "ELEMFUN" 632458 T ELEMFUN (NIL) -9 NIL NIL NIL) (-294 632115 632142 632210 "ELEMFUN-" 632215 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-293 626532 630157 630198 "ELAGG" 631138 NIL ELAGG (NIL T) -9 NIL 631601 NIL) (-292 624709 625251 625914 "ELAGG-" 625919 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-291 623991 624158 624314 "ELABOR" 624573 T ELABOR (NIL) -8 NIL NIL NIL) (-290 622598 622931 623225 "ELABEXPR" 623717 T ELABEXPR (NIL) -8 NIL NIL NIL) (-289 615110 617235 618064 "EFUPXS" 621873 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-288 608236 610359 611170 "EFULS" 614385 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-287 605673 606079 606551 "EFSTRUC" 607868 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-286 595110 597030 598578 "EF" 604188 NIL EF (NIL T T) -7 NIL NIL NIL) (-285 594088 594595 594744 "EAB" 594981 T EAB (NIL) -8 NIL NIL NIL) (-284 593210 594047 594075 "E04UCFA" 594080 T E04UCFA (NIL) -8 NIL NIL NIL) (-283 592332 593169 593197 "E04NAFA" 593202 T E04NAFA (NIL) -8 NIL NIL NIL) (-282 591454 592291 592319 "E04MBFA" 592324 T E04MBFA (NIL) -8 NIL NIL NIL) (-281 590576 591413 591441 "E04JAFA" 591446 T E04JAFA (NIL) -8 NIL NIL NIL) (-280 589700 590535 590563 "E04GCFA" 590568 T E04GCFA (NIL) -8 NIL NIL NIL) (-279 588824 589659 589687 "E04FDFA" 589692 T E04FDFA (NIL) -8 NIL NIL NIL) (-278 587946 588783 588811 "E04DGFA" 588816 T E04DGFA (NIL) -8 NIL NIL NIL) (-277 582023 583471 584835 "E04AGNT" 586602 T E04AGNT (NIL) -7 NIL NIL NIL) (-276 580643 581324 581364 "DVARCAT" 581705 NIL DVARCAT (NIL T) -9 NIL 581868 NIL) (-275 579793 580059 580373 "DVARCAT-" 580378 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-274 571754 579592 579721 "DSMP" 579726 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-273 570105 570896 570937 "DSEXT" 571300 NIL DSEXT (NIL T) -9 NIL 571594 NIL) (-272 568294 568818 569484 "DSEXT-" 569489 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-271 562877 564239 565307 "DROPT" 567246 T DROPT (NIL) -8 NIL NIL NIL) (-270 562536 562601 562699 "DROPT1" 562812 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-269 557555 558777 559914 "DROPT0" 561419 T DROPT0 (NIL) -7 NIL NIL NIL) (-268 555864 556225 556611 "DRAWPT" 557189 T DRAWPT (NIL) -7 NIL NIL NIL) (-267 550355 551374 552453 "DRAW" 554838 NIL DRAW (NIL T) -7 NIL NIL NIL) (-266 549982 550041 550159 "DRAWHACK" 550296 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-265 548683 548982 549273 "DRAWCX" 549711 T DRAWCX (NIL) -7 NIL NIL NIL) (-264 548192 548267 548418 "DRAWCURV" 548609 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-263 538510 540622 542737 "DRAWCFUN" 546097 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-262 534981 537175 537216 "DQAGG" 537845 NIL DQAGG (NIL T) -9 NIL 538119 NIL) (-261 521564 529192 529275 "DPOLCAT" 531127 NIL DPOLCAT (NIL T T T T) -9 NIL 531672 NIL) (-260 516083 517749 519707 "DPOLCAT-" 519712 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-259 508940 515944 516042 "DPMO" 516047 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-258 501694 508720 508887 "DPMM" 508892 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-257 501216 501478 501567 "DOMTMPLT" 501625 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-256 500565 501018 501098 "DOMCTOR" 501156 T DOMCTOR (NIL) -8 NIL NIL NIL) (-255 499717 500045 500196 "DOMAIN" 500434 T DOMAIN (NIL) -8 NIL NIL NIL) (-254 492729 499352 499504 "DMP" 499618 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-253 490506 491796 491837 "DMEXT" 491842 NIL DMEXT (NIL T) -9 NIL 492018 NIL) (-252 490100 490162 490306 "DLP" 490444 NIL DLP (NIL T) -7 NIL NIL NIL) (-251 483223 489427 489617 "DLIST" 489942 NIL DLIST (NIL T) -8 NIL NIL NIL) (-250 479761 482048 482089 "DLAGG" 482639 NIL DLAGG (NIL T) -9 NIL 482869 NIL) (-249 478273 479087 479115 "DIVRING" 479207 T DIVRING (NIL) -9 NIL 479290 NIL) (-248 477456 477700 478000 "DIVRING-" 478005 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-247 475498 475915 476321 "DISPLAY" 477070 T DISPLAY (NIL) -7 NIL NIL NIL) (-246 468905 475412 475475 "DIRPROD" 475480 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 467735 467956 468221 "DIRPROD2" 468698 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-244 455954 462446 462499 "DIRPCAT" 462757 NIL DIRPCAT (NIL NIL T) -9 NIL 463632 NIL) (-243 453154 453922 454803 "DIRPCAT-" 455140 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-242 452435 452601 452787 "DIOSP" 452988 T DIOSP (NIL) -7 NIL NIL NIL) (-241 448849 451319 451360 "DIOPS" 451794 NIL DIOPS (NIL T) -9 NIL 452023 NIL) (-240 448368 448512 448703 "DIOPS-" 448708 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-239 447275 448047 448075 "DIFRING" 448080 T DIFRING (NIL) -9 NIL 448102 NIL) (-238 446923 447021 447049 "DIFFSPC" 447168 T DIFFSPC (NIL) -9 NIL 447243 NIL) (-237 446544 446646 446798 "DIFFSPC-" 446803 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-236 445480 446078 446119 "DIFFMOD" 446124 NIL DIFFMOD (NIL T) -9 NIL 446222 NIL) (-235 445176 445233 445274 "DIFFDOM" 445395 NIL DIFFDOM (NIL T) -9 NIL 445463 NIL) (-234 445023 445053 445137 "DIFFDOM-" 445142 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-233 442763 444227 444268 "DIFEXT" 444273 NIL DIFEXT (NIL T) -9 NIL 444426 NIL) (-232 439797 442267 442308 "DIAGG" 442313 NIL DIAGG (NIL T) -9 NIL 442333 NIL) (-231 439145 439338 439590 "DIAGG-" 439595 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-230 433995 438104 438381 "DHMATRIX" 438914 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-229 429463 430516 431526 "DFSFUN" 433005 T DFSFUN (NIL) -7 NIL NIL NIL) (-228 423697 428394 428706 "DFLOAT" 429171 T DFLOAT (NIL) -8 NIL NIL NIL) (-227 421936 422241 422630 "DFINTTLS" 423405 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-226 418755 419957 420357 "DERHAM" 421602 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-225 416291 418530 418619 "DEQUEUE" 418699 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-224 415533 415678 415861 "DEGRED" 416153 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-223 411939 412708 413554 "DEFINTRF" 414761 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-222 409476 409963 410555 "DEFINTEF" 411458 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-221 408760 409096 409211 "DEFAST" 409381 T DEFAST (NIL) -8 NIL NIL NIL) (-220 401796 408353 408503 "DECIMAL" 408630 T DECIMAL (NIL) -8 NIL NIL NIL) (-219 399254 399766 400272 "DDFACT" 401340 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-218 398844 398893 399044 "DBLRESP" 399205 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-217 398045 398614 398705 "DBASIS" 398793 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-216 395829 396275 396636 "DBASE" 397811 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 395017 395309 395455 "DATAARY" 395728 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 394075 394976 395004 "D03FAFA" 395009 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 393134 394034 394062 "D03EEFA" 394067 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 391060 391550 392039 "D03AGNT" 392665 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 390301 391019 391047 "D02EJFA" 391052 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 389542 390260 390288 "D02CJFA" 390293 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 388783 389501 389529 "D02BHFA" 389534 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 388024 388742 388770 "D02BBFA" 388775 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 381155 382810 384416 "D02AGNT" 386438 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 378905 379446 379992 "D01WGTS" 380629 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 377912 378864 378892 "D01TRNS" 378897 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 376920 377871 377899 "D01GBFA" 377904 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 375928 376879 376907 "D01FCFA" 376912 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 374936 375887 375915 "D01ASFA" 375920 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 373944 374895 374923 "D01AQFA" 374928 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 372952 373903 373931 "D01APFA" 373936 T D01APFA (NIL) -8 NIL NIL NIL) (-199 371960 372911 372939 "D01ANFA" 372944 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 370968 371919 371947 "D01AMFA" 371952 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 369976 370927 370955 "D01ALFA" 370960 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 368984 369935 369963 "D01AKFA" 369968 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 367992 368943 368971 "D01AJFA" 368976 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 361215 362840 364401 "D01AGNT" 366451 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 360534 360680 360832 "CYCLOTOM" 361083 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 357189 357982 358709 "CYCLES" 359827 T CYCLES (NIL) -7 NIL NIL NIL) (-191 356489 356635 356806 "CVMP" 357050 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 354276 354588 354957 "CTRIGMNP" 356217 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 353634 354070 354143 "CTOR" 354223 T CTOR (NIL) -8 NIL NIL NIL) (-188 353107 353365 353466 "CTORKIND" 353553 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 352312 352700 352728 "CTORCAT" 352910 T CTORCAT (NIL) -9 NIL 353023 NIL) (-186 351886 352021 352180 "CTORCAT-" 352185 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 351300 351560 351668 "CTORCALL" 351810 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 350656 350773 350926 "CSTTOOLS" 351197 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 346353 347112 347870 "CRFP" 349968 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 345768 346074 346166 "CRCEAST" 346281 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 344791 345000 345228 "CRAPACK" 345572 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 344171 344276 344480 "CPMATCH" 344667 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 343890 343924 344030 "CPIMA" 344137 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 340148 340910 341629 "COORDSYS" 343225 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 339536 339681 339823 "CONTOUR" 340026 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 335001 337539 338031 "CONTFRAC" 339076 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 334875 334902 334930 "CONDUIT" 334967 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 333829 334503 334531 "COMRING" 334536 T COMRING (NIL) -9 NIL 334588 NIL) (-173 332811 333187 333371 "COMPPROP" 333665 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 332466 332507 332635 "COMPLPAT" 332770 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 320849 332275 332384 "COMPLEX" 332389 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320479 320542 320649 "COMPLEX2" 320786 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 319800 319939 320099 "COMPILER" 320339 T COMPILER (NIL) -8 NIL NIL NIL) (-168 319512 319553 319651 "COMPFACT" 319759 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 300887 313216 313256 "COMPCAT" 314260 NIL COMPCAT (NIL T) -9 NIL 315608 NIL) (-166 289775 293326 296953 "COMPCAT-" 297309 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 289498 289532 289635 "COMMUPC" 289741 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 289286 289326 289385 "COMMONOP" 289459 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 288794 289037 289124 "COMM" 289219 T COMM (NIL) -8 NIL NIL NIL) (-162 288316 288598 288673 "COMMAAST" 288739 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 287511 287759 287787 "COMBOPC" 288125 T COMBOPC (NIL) -9 NIL 288300 NIL) (-160 286365 286617 286859 "COMBINAT" 287301 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 282708 283396 284023 "COMBF" 285787 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 281370 281824 282059 "COLOR" 282493 T COLOR (NIL) -8 NIL NIL NIL) (-157 280786 281091 281183 "COLONAST" 281298 T COLONAST (NIL) -8 NIL NIL NIL) (-156 280420 280473 280598 "CMPLXRT" 280733 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 279808 280120 280219 "CLLCTAST" 280341 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 275268 276338 277418 "CLIP" 278748 T CLIP (NIL) -7 NIL NIL NIL) (-153 273441 274369 274609 "CLIF" 275095 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 269423 271559 271600 "CLAGG" 272529 NIL CLAGG (NIL T) -9 NIL 273065 NIL) (-151 267767 268302 268885 "CLAGG-" 268890 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 267305 267396 267536 "CINTSLPE" 267676 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 264770 265277 265825 "CHVAR" 266833 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 263810 264484 264512 "CHARZ" 264517 T CHARZ (NIL) -9 NIL 264532 NIL) (-147 263558 263604 263682 "CHARPOL" 263764 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 262476 263189 263217 "CHARNZ" 263264 T CHARNZ (NIL) -9 NIL 263320 NIL) (-145 260220 261130 261483 "CHAR" 262143 T CHAR (NIL) -8 NIL NIL NIL) (-144 259928 260007 260035 "CFCAT" 260146 T CFCAT (NIL) -9 NIL NIL NIL) (-143 259151 259280 259463 "CDEN" 259812 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 254748 258304 258584 "CCLASS" 258891 T CCLASS (NIL) -8 NIL NIL NIL) (-141 253969 254156 254333 "CATEGORY" 254591 T -10 (NIL) -8 NIL NIL NIL) (-140 253464 253888 253936 "CATCTOR" 253941 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 252855 253167 253265 "CATAST" 253386 T CATAST (NIL) -8 NIL NIL NIL) (-138 252271 252576 252668 "CASEAST" 252783 T CASEAST (NIL) -8 NIL NIL NIL) (-137 247169 248428 249172 "CARTEN" 251583 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 246265 246425 246646 "CARTEN2" 247016 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 244395 245415 245672 "CARD" 246028 T CARD (NIL) -8 NIL NIL NIL) (-134 243917 244199 244274 "CAPSLAST" 244340 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 243359 243615 243643 "CACHSET" 243775 T CACHSET (NIL) -9 NIL 243853 NIL) (-132 242749 243137 243165 "CABMON" 243215 T CABMON (NIL) -9 NIL 243271 NIL) (-131 242186 242453 242563 "BYTEORD" 242659 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 240944 241701 241850 "BYTE" 242013 T BYTE (NIL) -8 NIL NIL 242142) (-129 235871 240449 240621 "BYTEBUF" 240792 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 233133 235563 235670 "BTREE" 235797 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 230335 232781 232903 "BTOURN" 233043 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 227442 229777 229818 "BTCAT" 229886 NIL BTCAT (NIL T) -9 NIL 229963 NIL) (-125 227091 227189 227338 "BTCAT-" 227343 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 221982 226337 226365 "BTAGG" 226479 T BTAGG (NIL) -9 NIL 226589 NIL) (-123 221436 221597 221803 "BTAGG-" 221808 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 218172 220714 220929 "BSTREE" 221253 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 217280 217436 217620 "BRILL" 218028 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 213675 215978 216019 "BRAGG" 216668 NIL BRAGG (NIL T) -9 NIL 216926 NIL) (-119 212108 212610 213165 "BRAGG-" 213170 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 204344 211452 211637 "BPADICRT" 211955 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 202353 204281 204326 "BPADIC" 204331 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 202045 202081 202195 "BOUNDZRO" 202317 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 197027 198471 199383 "BOP" 201153 T BOP (NIL) -8 NIL NIL NIL) (-114 194754 195212 195687 "BOP1" 196585 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 194437 194516 194544 "BOOLE" 194655 T BOOLE (NIL) -9 NIL 194737 NIL) (-112 193088 194011 194160 "BOOLEAN" 194308 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 192257 192757 192811 "BMODULE" 192816 NIL BMODULE (NIL T T) -9 NIL 192881 NIL) (-110 187578 192055 192128 "BITS" 192204 T BITS (NIL) -8 NIL NIL NIL) (-109 186975 187118 187258 "BINDING" 187458 T BINDING (NIL) -8 NIL NIL NIL) (-108 180014 186570 186719 "BINARY" 186846 T BINARY (NIL) -8 NIL NIL NIL) (-107 177621 179241 179282 "BGAGG" 179542 NIL BGAGG (NIL T) -9 NIL 179679 NIL) (-106 177446 177484 177575 "BGAGG-" 177580 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176469 176830 177035 "BFUNCT" 177261 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175139 175337 175625 "BEZOUT" 176293 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171337 173991 174321 "BBTREE" 174842 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170920 171016 171044 "BASTYPE" 171221 T BASTYPE (NIL) -9 NIL 171320 NIL) (-101 170578 170677 170812 "BASTYPE-" 170817 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 170000 170088 170240 "BALFACT" 170489 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168736 169415 169601 "AUTOMOR" 169845 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168462 168467 168493 "ATTREG" 168498 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166624 167159 167511 "ATTRBUT" 168128 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166178 166452 166518 "ATTRAST" 166576 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165678 165827 165853 "ATRIG" 166054 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165475 165528 165615 "ATRIG-" 165620 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165058 165292 165318 "ASTCAT" 165323 T ASTCAT (NIL) -9 NIL 165353 NIL) (-92 164767 164844 164963 "ASTCAT-" 164968 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162741 164543 164631 "ASTACK" 164710 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161230 161543 161908 "ASSOCEQ" 162423 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160154 160889 161013 "ASP9" 161137 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 159881 160102 160141 "ASP8" 160146 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 158641 159486 159628 "ASP80" 159770 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 157431 158276 158408 "ASP7" 158540 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 156277 157108 157226 "ASP78" 157344 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 155138 155957 156074 "ASP77" 156191 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 153942 154776 154907 "ASP74" 155038 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 152734 153577 153709 "ASP73" 153841 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 151730 152560 152660 "ASP6" 152665 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150569 151407 151525 "ASP55" 151643 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149410 150243 150362 "ASP50" 150481 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148390 149111 149221 "ASP4" 149331 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 147370 148091 148201 "ASP49" 148311 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 146046 146909 147077 "ASP42" 147259 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144715 145579 145749 "ASP41" 145933 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 143557 144392 144510 "ASP35" 144628 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143286 143505 143544 "ASP34" 143549 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 143005 143090 143166 "ASP33" 143241 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141791 142640 142772 "ASP31" 142904 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141520 141739 141778 "ASP30" 141783 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141237 141324 141400 "ASP29" 141475 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140966 141185 141224 "ASP28" 141229 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140695 140914 140953 "ASP27" 140958 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139671 140393 140504 "ASP24" 140615 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138640 139473 139585 "ASP20" 139590 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137620 138341 138451 "ASP1" 138561 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 136455 137294 137413 "ASP19" 137532 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 136174 136259 136335 "ASP12" 136410 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 134918 135773 135917 "ASP10" 136061 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 132530 134762 134853 "ARRAY2" 134858 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 127890 132178 132292 "ARRAY1" 132447 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 126904 127095 127316 "ARRAY12" 127713 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 120949 123106 123181 "ARR2CAT" 125811 NIL ARR2CAT (NIL T T T) -9 NIL 126569 NIL) (-56 118239 119127 120081 "ARR2CAT-" 120086 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117490 117866 117991 "ARITY" 118132 T ARITY (NIL) -8 NIL NIL NIL) (-54 116248 116418 116717 "APPRULE" 117326 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115893 115947 116066 "APPLYORE" 116194 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115193 115486 115606 "ANY" 115791 T ANY (NIL) -8 NIL NIL NIL) (-51 114447 114594 114751 "ANY1" 115067 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 111773 112884 113211 "ANTISYM" 114171 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111217 111480 111576 "ANON" 111695 T ANON (NIL) -8 NIL NIL NIL) (-48 104373 109756 110210 "AN" 110781 T AN (NIL) -8 NIL NIL NIL) (-47 100029 101645 101696 "AMR" 102444 NIL AMR (NIL T T) -9 NIL 103044 NIL) (-46 99081 99362 99725 "AMR-" 99730 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82550 98998 99059 "ALIST" 99064 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78847 82144 82313 "ALGSC" 82468 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75297 75957 76564 "ALGPKG" 78287 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74562 74675 74859 "ALGMFACT" 75183 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70545 71176 71770 "ALGMANIP" 74146 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59884 70171 70321 "ALGFF" 70478 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59056 59211 59390 "ALGFACT" 59742 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57845 58583 58621 "ALGEBRA" 58626 NIL ALGEBRA (NIL T) -9 NIL 58667 NIL) (-37 57545 57622 57754 "ALGEBRA-" 57759 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38506 55382 55434 "ALAGG" 55570 NIL ALAGG (NIL T T) -9 NIL 55731 NIL) (-35 38006 38155 38181 "AHYP" 38382 T AHYP (NIL) -9 NIL NIL NIL) (-34 36891 37185 37211 "AGG" 37710 T AGG (NIL) -9 NIL 37989 NIL) (-33 36289 36487 36701 "AGG-" 36706 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34049 34518 34923 "AF" 35931 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33469 33774 33864 "ADDAST" 33977 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32701 32996 33152 "ACPLOT" 33331 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20258 29633 29671 "ACFS" 30278 NIL ACFS (NIL T) -9 NIL 30517 NIL) (-28 18165 18775 19537 "ACFS-" 19542 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13873 16198 16224 "ACF" 17103 T ACF (NIL) -9 NIL 17516 NIL) (-26 12505 12911 13404 "ACF-" 13409 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12015 12258 12284 "ABELSG" 12376 T ABELSG (NIL) -9 NIL 12441 NIL) (-24 11876 11907 11973 "ABELSG-" 11978 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11145 11492 11518 "ABELMON" 11688 T ABELMON (NIL) -9 NIL 11800 NIL) (-22 10785 10893 11031 "ABELMON-" 11036 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10035 10491 10517 "ABELGRP" 10589 T ABELGRP (NIL) -9 NIL 10664 NIL) (-20 9462 9627 9843 "ABELGRP-" 9848 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8724 8763 "A1AGG" 8768 NIL A1AGG (NIL T) -9 NIL 8808 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 4641585d..dd19fc00 100644
--- a/src/share/algebra/operation.daase
+++ b/src/share/algebra/operation.daase
@@ -1,2014 +1,1510 @@
-(733090 . 3488491118)
-(((*1 *1 *2) (-12 (-5 *2 (-665 (-1188))) (-5 *1 (-341))))
- ((*1 *1 *2) (-12 (-5 *2 (-1188)) (-5 *1 (-341)))))
-(((*1 *2 *3 *2 *4)
- (|partial| -12 (-5 *4 (-1 (-3 (-577) "failed") *5)) (-4 *5 (-1079))
- (-5 *2 (-577)) (-5 *1 (-556 *5 *3)) (-4 *3 (-1273 *5))))
- ((*1 *2 *3 *4 *2 *5)
- (|partial| -12 (-5 *5 (-1 (-3 (-577) "failed") *4)) (-4 *4 (-1079))
- (-5 *2 (-577)) (-5 *1 (-556 *4 *3)) (-4 *3 (-1273 *4))))
- ((*1 *2 *3 *4 *5)
- (|partial| -12 (-5 *5 (-1 (-3 (-577) "failed") *4)) (-4 *4 (-1079))
- (-5 *2 (-577)) (-5 *1 (-556 *4 *3)) (-4 *3 (-1273 *4)))))
+(733090 . 3488813774)
(((*1 *2 *1)
- (-12 (-5 *2 (-112)) (-5 *1 (-327 *3)) (-4 *3 (-569)) (-4 *3 (-1130)))))
-(((*1 *2 *1) (-12 (-4 *1 (-818 *2)) (-4 *2 (-174))))
- ((*1 *2 *1) (-12 (-4 *1 (-1027 *2)) (-4 *2 (-174)))))
+ (-12
+ (-5 *2
+ (-665
+ (-2 (|:| |scalar| (-420 (-577))) (|:| |coeff| (-1202 *3))
+ (|:| |logand| (-1202 *3)))))
+ (-5 *1 (-599 *3)) (-4 *3 (-375)))))
+(((*1 *2 *1) (-12 (-5 *2 (-1188)) (-5 *1 (-1228))))
+ ((*1 *2 *1 *2) (-12 (-5 *2 (-1188)) (-5 *1 (-1228)))))
+(((*1 *2 *2)
+ (-12 (-5 *2 (-665 *6)) (-4 *6 (-1095 *3 *4 *5)) (-4 *3 (-569))
+ (-4 *4 (-814)) (-4 *5 (-870)) (-5 *1 (-1007 *3 *4 *5 *6)))))
+(((*1 *2 *1 *1)
+ (-12 (-5 *2 (-420 (-980 *3))) (-5 *1 (-466 *3 *4 *5 *6))
+ (-4 *3 (-569)) (-4 *3 (-174)) (-14 *4 (-949))
+ (-14 *5 (-665 (-1206))) (-14 *6 (-1297 (-710 *3))))))
(((*1 *2 *1)
- (|partial| -12
- (-5 *2 (-2 (|:| -1868 (-115)) (|:| |arg| (-665 (-916 *3)))))
- (-5 *1 (-916 *3)) (-4 *3 (-1130))))
- ((*1 *2 *1 *3)
- (|partial| -12 (-5 *3 (-115)) (-5 *2 (-665 (-916 *4)))
- (-5 *1 (-916 *4)) (-4 *4 (-1130)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *4 (-1206))
- (-4 *5 (-13 (-1068 (-577)) (-465) (-659 (-577))))
- (-5 *2 (-2 (|:| -3031 *3) (|:| |nconst| *3))) (-5 *1 (-580 *5 *3))
- (-4 *3 (-13 (-27) (-1232) (-443 *5))))))
-(((*1 *2 *3 *1)
- (-12 (-5 *3 (-1321 *4 *2)) (-4 *1 (-386 *4 *2)) (-4 *4 (-870))
- (-4 *2 (-174))))
- ((*1 *2 *1 *1)
- (-12 (-4 *1 (-1314 *3 *2)) (-4 *3 (-870)) (-4 *2 (-1079))))
+ (-12 (-4 *1 (-1314 *3 *4)) (-4 *3 (-870)) (-4 *4 (-1079))
+ (-5 *2 (-112))))
+ ((*1 *2 *1)
+ (-12 (-5 *2 (-112)) (-5 *1 (-1320 *3 *4)) (-4 *3 (-1079))
+ (-4 *4 (-867)))))
+(((*1 *1 *2 *1)
+ (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1247)) (-5 *1 (-614 *3))))
+ ((*1 *1 *2 *1)
+ (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1247)) (-5 *1 (-1187 *3)))))
+(((*1 *1 *2) (-12 (-5 *2 (-665 *3)) (-4 *3 (-1130)) (-5 *1 (-758 *3))))
+ ((*1 *1 *2) (-12 (-5 *1 (-758 *2)) (-4 *2 (-1130))))
+ ((*1 *1) (-12 (-5 *1 (-758 *2)) (-4 *2 (-1130)))))
+(((*1 *2 *1 *3)
+ (-12 (-5 *3 (-519)) (-5 *2 (-712 (-795))) (-5 *1 (-115))))
((*1 *2 *1 *3)
- (-12 (-5 *3 (-840 *4)) (-4 *1 (-1314 *4 *2)) (-4 *4 (-870))
- (-4 *2 (-1079))))
+ (|partial| -12 (-5 *3 (-1188)) (-5 *2 (-795)) (-5 *1 (-115))))
+ ((*1 *1 *2 *3) (-12 (-5 *2 (-519)) (-5 *3 (-1134)) (-5 *1 (-993)))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-710 *4)) (-4 *4 (-375)) (-5 *2 (-1202 *4))
+ (-5 *1 (-545 *4 *5 *6)) (-4 *5 (-375)) (-4 *6 (-13 (-375) (-869))))))
+(((*1 *2 *1)
+ (-12 (-4 *3 (-375)) (-4 *4 (-814)) (-4 *5 (-870)) (-5 *2 (-112))
+ (-5 *1 (-517 *3 *4 *5 *6)) (-4 *6 (-977 *3 *4 *5))))
((*1 *2 *1 *3)
- (-12 (-4 *2 (-1079)) (-5 *1 (-1320 *2 *3)) (-4 *3 (-867)))))
+ (-12 (-5 *3 (-665 *6)) (-4 *6 (-870)) (-4 *4 (-375)) (-4 *5 (-814))
+ (-5 *2 (-112)) (-5 *1 (-517 *4 *5 *6 *7)) (-4 *7 (-977 *4 *5 *6)))))
+(((*1 *2 *1) (-12 (-4 *1 (-402)) (-5 *2 (-112)))))
+(((*1 *2 *2)
+ (-12 (-4 *3 (-465)) (-5 *1 (-1238 *3 *2))
+ (-4 *2 (-13 (-443 *3) (-1232))))))
+(((*1 *2 *2 *1)
+ (-12 (-5 *2 (-665 *6)) (-4 *1 (-1006 *3 *4 *5 *6)) (-4 *3 (-1079))
+ (-4 *4 (-814)) (-4 *5 (-870)) (-4 *6 (-1095 *3 *4 *5))
+ (-4 *3 (-569)))))
+(((*1 *2 *2 *3)
+ (-12 (-5 *3 (-665 (-1206))) (-4 *4 (-1130))
+ (-4 *5 (-13 (-1079) (-910 *4) (-632 (-916 *4))))
+ (-5 *1 (-54 *4 *5 *2))
+ (-4 *2 (-13 (-443 *5) (-910 *4) (-632 (-916 *4)))))))
+(((*1 *2 *2 *2 *2 *2)
+ (-12 (-4 *2 (-13 (-375) (-10 -8 (-15 ** ($ $ (-420 (-577)))))))
+ (-5 *1 (-1158 *3 *2)) (-4 *3 (-1273 *2)))))
+(((*1 *2 *1)
+ (-12 (-4 *3 (-1079)) (-4 *4 (-814)) (-4 *5 (-870)) (-5 *2 (-665 *1))
+ (-4 *1 (-1095 *3 *4 *5)))))
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+(((*1 *1 *2 *1)
+ (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1247)) (-5 *1 (-614 *3))))
+ ((*1 *1 *2 *1)
+ (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1247)) (-5 *1 (-1187 *3)))))
+(((*1 *2 *2 *3)
+ (-12 (-4 *4 (-814))
+ (-4 *3 (-13 (-870) (-10 -8 (-15 -2686 ((-1206) $))))) (-4 *5 (-569))
+ (-5 *1 (-753 *4 *3 *5 *2)) (-4 *2 (-977 (-420 (-980 *5)) *4 *3))))
+ ((*1 *2 *2 *3)
+ (-12 (-4 *4 (-1079)) (-4 *5 (-814))
+ (-4 *3
+ (-13 (-870)
+ (-10 -8 (-15 -2686 ((-1206) $))
+ (-15 -1437 ((-3 $ "failed") (-1206))))))
+ (-5 *1 (-1014 *4 *5 *3 *2)) (-4 *2 (-977 (-980 *4) *5 *3))))
+ ((*1 *2 *2 *3)
+ (-12 (-5 *3 (-665 *6))
+ (-4 *6
+ (-13 (-870)
+ (-10 -8 (-15 -2686 ((-1206) $))
+ (-15 -1437 ((-3 $ "failed") (-1206))))))
+ (-4 *4 (-1079)) (-4 *5 (-814)) (-5 *1 (-1014 *4 *5 *6 *2))
+ (-4 *2 (-977 (-980 *4) *5 *6)))))
(((*1 *2 *3 *3)
- (-12 (-4 *4 (-841)) (-14 *5 (-1206)) (-5 *2 (-665 (-1270 *5 *4)))
- (-5 *1 (-1144 *4 *5)) (-5 *3 (-1270 *5 *4)))))
-(((*1 *2 *2 *3 *3 *4)
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- (-4 *2 (-1273 *3)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *4 (-665 (-887 *5))) (-14 *5 (-665 (-1206))) (-4 *6 (-465))
- (-5 *2
- (-2 (|:| |dpolys| (-665 (-254 *5 *6)))
- (|:| |coords| (-665 (-577)))))
- (-5 *1 (-484 *5 *6 *7)) (-5 *3 (-665 (-254 *5 *6))) (-4 *7 (-465)))))
-(((*1 *1 *1) (-12 (-4 *1 (-250 *2)) (-4 *2 (-1247)))))
-(((*1 *1 *1) (-4 *1 (-35)))
- ((*1 *2 *2)
- (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
- (-4 *2 (-13 (-443 *3) (-1032)))))
- ((*1 *2 *2)
- (-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1288 *3))
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- ((*1 *2 *2)
- (-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
- (-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
- ((*1 *2 *2)
- (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
- (-5 *1 (-1191 *3))))
+ (-12 (-4 *4 (-375)) (-5 *2 (-665 *3)) (-5 *1 (-973 *4 *3))
+ (-4 *3 (-1273 *4)))))
+(((*1 *1 *1) (-5 *1 (-228)))
+ ((*1 *2 *2) (-12 (-5 *2 (-228)) (-5 *1 (-229))))
+ ((*1 *2 *2) (-12 (-5 *2 (-171 (-228))) (-5 *1 (-229))))
((*1 *2 *2)
- (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
- (-5 *1 (-1192 *3)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-665 *4)) (-4 *4 (-869)) (-4 *4 (-375)) (-5 *2 (-792))
- (-5 *1 (-973 *4 *5)) (-4 *5 (-1273 *4)))))
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+ ((*1 *2 *2 *2)
+ (-12 (-4 *3 (-569)) (-5 *1 (-444 *3 *2)) (-4 *2 (-443 *3))))
+ ((*1 *1 *1) (-4 *1 (-1169))) ((*1 *1 *1 *1) (-4 *1 (-1169))))
(((*1 *2 *3 *4)
- (-12 (-4 *4 (-375)) (-5 *2 (-665 (-1187 *4))) (-5 *1 (-296 *4 *5))
- (-5 *3 (-1187 *4)) (-4 *5 (-1288 *4)))))
-(((*1 *2 *3) (-12 (-5 *3 (-1188)) (-5 *2 (-52)) (-5 *1 (-850)))))
+ (-12 (-5 *3 (-228)) (-5 *4 (-577)) (-5 *2 (-1065)) (-5 *1 (-779)))))
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+ (-12 (-4 *4 (-13 (-869) (-375))) (-5 *2 (-112)) (-5 *1 (-1091 *4 *3))
+ (-4 *3 (-1273 *4)))))
+(((*1 *1 *1)
+ (|partial| -12 (-5 *1 (-305 *2)) (-4 *2 (-747)) (-4 *2 (-1247)))))
+(((*1 *2 *1)
+ (-12 (-5 *2 (-2 (|:| -4188 *1) (|:| -4486 *1) (|:| |associate| *1)))
+ (-4 *1 (-569)))))
+(((*1 *2 *1) (-12 (-5 *2 (-665 (-1188))) (-5 *1 (-407)))))
(((*1 *2 *3)
- (-12 (-5 *3 (-840 *4)) (-4 *4 (-870)) (-5 *2 (-112))
- (-5 *1 (-693 *4)))))
+ (|partial| -12
+ (-5 *3
+ (-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
+ (|:| -2051 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
+ (|:| |relerr| (-228))))
+ (-5 *2 (-665 (-228))) (-5 *1 (-206)))))
(((*1 *2 *3)
- (-12 (-4 *5 (-13 (-632 *2) (-174))) (-5 *2 (-916 *4))
- (-5 *1 (-172 *4 *5 *3)) (-4 *4 (-1130)) (-4 *3 (-167 *5))))
- ((*1 *2 *3)
- (-12 (-5 *3 (-665 (-1124 (-864 (-391)))))
- (-5 *2 (-665 (-1124 (-864 (-228))))) (-5 *1 (-316))))
- ((*1 *1 *2 *3) (-12 (-5 *2 (-885)) (-5 *3 (-577)) (-5 *1 (-407))))
- ((*1 *1 *2)
- (-12 (-5 *2 (-1297 *3)) (-4 *3 (-174)) (-4 *1 (-422 *3 *4))
- (-4 *4 (-1273 *3))))
+ (-12 (-4 *4 (-569))
+ (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -1769 *4)))
+ (-5 *1 (-999 *4 *3)) (-4 *3 (-1273 *4)))))
+(((*1 *1) (-12 (-4 *1 (-438 *2)) (-4 *2 (-380)) (-4 *2 (-1130)))))
+(((*1 *2 *3)
+ (-12 (-4 *4 (-569)) (-4 *5 (-814)) (-4 *6 (-870)) (-5 *2 (-112))
+ (-5 *1 (-1007 *4 *5 *6 *3)) (-4 *3 (-1095 *4 *5 *6)))))
+(((*1 *2 *3)
+ (-12 (-4 *4 (-569)) (-5 *2 (-792)) (-5 *1 (-43 *4 *3))
+ (-4 *3 (-430 *4)))))
+(((*1 *1 *1 *2) (-12 (-5 *2 (-665 (-885))) (-5 *1 (-885)))))
+(((*1 *2 *3 *3 *4 *4 *4 *4)
+ (-12 (-5 *3 (-228)) (-5 *4 (-577)) (-5 *2 (-1065)) (-5 *1 (-769)))))
+(((*1 *2)
+ (-12 (-5 *2 (-112)) (-5 *1 (-1224 *3 *4)) (-4 *3 (-1130))
+ (-4 *4 (-1130)))))
+(((*1 *2 *2 *2) (-12 (-5 *2 (-228)) (-5 *1 (-229))))
+ ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-228))) (-5 *1 (-229))))
+ ((*1 *2 *2 *2)
+ (-12 (-4 *3 (-569)) (-5 *1 (-444 *3 *2)) (-4 *2 (-443 *3))))
+ ((*1 *1 *1 *1) (-4 *1 (-1169))))
+(((*1 *2 *3 *3)
+ (-12 (-5 *3 (-1270 *5 *4)) (-4 *4 (-841)) (-14 *5 (-1206))
+ (-5 *2 (-665 *4)) (-5 *1 (-1144 *4 *5)))))
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+ (-12 (-4 *3 (-375)) (-5 *1 (-296 *3 *2)) (-4 *2 (-1288 *3)))))
+(((*1 *1 *2 *1) (-12 (-5 *1 (-122 *2)) (-4 *2 (-870)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-1202 *2)) (-4 *2 (-977 (-420 (-980 *6)) *5 *4))
+ (-5 *1 (-753 *5 *4 *6 *2)) (-4 *5 (-814))
+ (-4 *4 (-13 (-870) (-10 -8 (-15 -2686 ((-1206) $)))))
+ (-4 *6 (-569)))))
+(((*1 *2 *3)
+ (-12 (-4 *1 (-361)) (-5 *3 (-577)) (-5 *2 (-1219 (-949) (-792))))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *4 (-792)) (-5 *2 (-665 (-1206))) (-5 *1 (-212))
+ (-5 *3 (-1206))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *3 (-327 (-228))) (-5 *4 (-792)) (-5 *2 (-665 (-1206)))
+ (-5 *1 (-277))))
((*1 *2 *1)
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- (-5 *2 (-1297 *3))))
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- ((*1 *1 *2)
- (-12 (-5 *2 (-431 *1)) (-4 *1 (-443 *3)) (-4 *3 (-569))
- (-4 *3 (-1130))))
- ((*1 *1 *2)
- (-12 (-5 *2 (-665 *6)) (-4 *6 (-1095 *3 *4 *5)) (-4 *3 (-1079))
- (-4 *4 (-814)) (-4 *5 (-870)) (-5 *1 (-476 *3 *4 *5 *6))))
- ((*1 *1 *2) (-12 (-5 *2 (-1134)) (-5 *1 (-549))))
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- ((*1 *1 *2)
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- ((*1 *1 *2)
- (-12 (-5 *2 (-665 (-916 *3))) (-5 *1 (-916 *3)) (-4 *3 (-1130))))
- ((*1 *1 *2)
- (-12 (-5 *2 (-980 *3)) (-4 *3 (-1079)) (-4 *1 (-1095 *3 *4 *5))
- (-4 *5 (-632 (-1206))) (-4 *4 (-814)) (-4 *5 (-870))))
- ((*1 *1 *2)
- (-2867
- (-12 (-5 *2 (-980 (-577))) (-4 *1 (-1095 *3 *4 *5))
- (-12 (-2779 (-4 *3 (-38 (-420 (-577))))) (-4 *3 (-38 (-577)))
- (-4 *5 (-632 (-1206))))
- (-4 *3 (-1079)) (-4 *4 (-814)) (-4 *5 (-870)))
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(((*1 *2 *3 *2)
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((*1 *2 *3 *4)
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(-12
+ (-5 *3
+ (-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
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- (-665
- (-2
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- (-2
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- "There is a singularity at the lower end point")
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- "There is a singularity at the upper end point")
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- "There are singularities at both end points")
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- "End point continuity not yet evaluated")))
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- "Internal singularities not yet evaluated")))
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- (|:| |notEvaluated| "Range not yet evaluated"))))))))
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+ (-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| (-1187 (-228)))
+ (|:| |notEvaluated|
+ "Internal singularities not yet evaluated")))
+ (|:| -2051
+ (-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 (-572)))))
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+ (-12 (-4 *3 (-465)) (-4 *4 (-814)) (-4 *5 (-870))
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+ ((*1 *2)
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(((*1 *2 *3)
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(-4 *4 (-13 (-465) (-1068 (-577)) (-659 (-577)))) (-5 *2 (-52))
@@ -3244,187 +2771,6 @@
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((*1 *2 *3 *4)
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@@ -3436,328 +2782,272 @@
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((*1 *2 *3 *4 *5)
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((*1 *2 *3 *4 *5 *6)
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(-4 *7 (-13 (-569) (-1068 (-577)) (-659 (-577)))) (-5 *2 (-52))
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+ (-12 (-5 *2 (-971 *3)) (-4 *1 (-1164 *3)) (-4 *3 (-1079))))
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+ ((*1 *2 *1) (-12 (-5 *2 (-665 (-899))) (-5 *1 (-496)))))
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+ (-12
+ (-5 *3
+ (-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
+ (|:| -2051 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
+ (|:| |relerr| (-228))))
+ (-5 *2 (-577)) (-5 *1 (-206)))))
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+ (-12 (-5 *2 (-1187 (-2 (|:| |k| (-577)) (|:| |c| *3))))
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(((*1 *1 *2) (-12 (-5 *2 (-327 (-171 (-391)))) (-5 *1 (-341))))
((*1 *1 *2) (-12 (-5 *2 (-327 (-577))) (-5 *1 (-341))))
((*1 *1 *2) (-12 (-5 *2 (-327 (-391))) (-5 *1 (-341))))
@@ -3765,46 +3055,34 @@
((*1 *1 *2) (-12 (-5 *2 (-327 (-722))) (-5 *1 (-341))))
((*1 *1 *2) (-12 (-5 *2 (-327 (-720))) (-5 *1 (-341))))
((*1 *1) (-5 *1 (-341))))
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- (-14 *7
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+ (-5 *2
+ (-1297 (-665 (-2 (|:| -2564 (-938 *3)) (|:| -3266 (-1150))))))
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(((*1 *2 *3 *4)
(-12 (-5 *3 (-420 (-980 *5))) (-5 *4 (-1206))
(-4 *5 (-13 (-318) (-148))) (-5 *2 (-665 (-305 (-327 *5))))
@@ -3834,11 +3112,160 @@
(-12 (-5 *3 (-665 (-305 (-420 (-980 *4)))))
(-4 *4 (-13 (-318) (-148))) (-5 *2 (-665 (-665 (-305 (-327 *4)))))
(-5 *1 (-1159 *4)))))
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+ *5 *3 *3 *3 *3 *3 *6 *6 *6 *3 *3 *3 *3 *3 *7 *4 *4 *4 *4 *3 *8
+ *9)
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+ (-5 *8 (-3 (|:| |fn| (-401)) (|:| |fp| (-80 CONFUN))))
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+ (-4 *5 (-1273 (-420 *4))) (-5 *2 (-792)))))
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+ ((*1 *2 *1)
+ (|partial| -12
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(((*1 *1 *1 *1 *2)
(-12 (-4 *1 (-977 *3 *4 *2)) (-4 *3 (-1079)) (-4 *4 (-814))
(-4 *2 (-870)) (-4 *3 (-174))))
@@ -3849,12 +3276,227 @@
(-4 *4 (-870)) (-4 *2 (-569))))
((*1 *2 *1 *1)
(-12 (-4 *1 (-1273 *2)) (-4 *2 (-1079)) (-4 *2 (-174)))))
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@@ -3864,145 +3506,349 @@
(|:| |limitedlogs|
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(((*1 *2 *2)
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@@ -4015,7 +3861,7 @@
((*1 *1 *1) (-4 *1 (-295)))
((*1 *2 *3)
(-12 (-5 *3 (-431 *4)) (-4 *4 (-569))
- (-5 *2 (-665 (-2 (|:| -4473 (-792)) (|:| |logand| *4))))
+ (-5 *2 (-665 (-2 (|:| -2695 (-792)) (|:| |logand| *4))))
(-5 *1 (-331 *4))))
((*1 *1 *1)
(-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
@@ -4035,755 +3881,500 @@
((*1 *1 *1 *2)
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- (-4 *4 (-569)) (-5 *2 (-420 (-1202 *1)))))
- ((*1 *2 *3 *4 *4 *5)
- (-12 (-5 *4 (-630 *3)) (-4 *3 (-13 (-443 *6) (-27) (-1232)))
- (-4 *6 (-13 (-465) (-1068 (-577)) (-148) (-659 (-577))))
- (-5 *2 (-1202 (-420 (-1202 *3)))) (-5 *1 (-573 *6 *3 *7))
- (-5 *5 (-1202 *3)) (-4 *7 (-1130))))
- ((*1 *2 *3 *4)
- (-12 (-5 *4 (-1293 *5)) (-14 *5 (-1206)) (-4 *6 (-1079))
- (-5 *2 (-1270 *5 (-980 *6))) (-5 *1 (-975 *5 *6)) (-5 *3 (-980 *6))))
- ((*1 *2 *1)
- (-12 (-4 *1 (-977 *3 *4 *5)) (-4 *3 (-1079)) (-4 *4 (-814))
- (-4 *5 (-870)) (-5 *2 (-1202 *3))))
- ((*1 *2 *1 *3)
- (-12 (-4 *4 (-1079)) (-4 *5 (-814)) (-4 *3 (-870)) (-5 *2 (-1202 *1))
- (-4 *1 (-977 *4 *5 *3))))
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- (-12 (-4 *5 (-814)) (-4 *4 (-870)) (-4 *6 (-1079))
- (-4 *7 (-977 *6 *5 *4)) (-5 *2 (-420 (-1202 *3)))
- (-5 *1 (-978 *5 *4 *6 *7 *3))
- (-4 *3
- (-13 (-375)
- (-10 -8 (-15 -3709 ($ *7)) (-15 -2417 (*7 $)) (-15 -2429 (*7 $)))))))
- ((*1 *2 *3 *4 *2)
- (-12 (-5 *2 (-1202 *3))
- (-4 *3
- (-13 (-375)
- (-10 -8 (-15 -3709 ($ *7)) (-15 -2417 (*7 $)) (-15 -2429 (*7 $)))))
- (-4 *7 (-977 *6 *5 *4)) (-4 *5 (-814)) (-4 *4 (-870))
- (-4 *6 (-1079)) (-5 *1 (-978 *5 *4 *6 *7 *3))))
- ((*1 *2 *3 *4)
- (-12 (-5 *4 (-1206)) (-4 *5 (-569))
- (-5 *2 (-420 (-1202 (-420 (-980 *5))))) (-5 *1 (-1073 *5))
- (-5 *3 (-420 (-980 *5))))))
-(((*1 *1 *1)
- (-12 (-5 *1 (-608 *2)) (-4 *2 (-38 (-420 (-577)))) (-4 *2 (-1079)))))
-(((*1 *1 *2 *1)
- (-12 (-5 *2 (-1 (-112) *3)) (|has| *1 (-6 -4499)) (-4 *1 (-241 *3))
- (-4 *3 (-1130))))
- ((*1 *1 *2 *1)
- (-12 (-5 *2 (-1 (-112) *3)) (-4 *1 (-293 *3)) (-4 *3 (-1247)))))
-(((*1 *2) (-12 (-5 *2 (-897)) (-5 *1 (-1300))))
- ((*1 *2 *2) (-12 (-5 *2 (-897)) (-5 *1 (-1300)))))
-(((*1 *2 *3 *4)
- (-12 (-4 *5 (-318)) (-4 *6 (-385 *5)) (-4 *4 (-385 *5))
- (-5 *2
- (-2 (|:| |particular| (-3 *4 "failed")) (|:| -2104 (-665 *4))))
- (-5 *1 (-1154 *5 *6 *4 *3)) (-4 *3 (-708 *5 *6 *4)))))
-(((*1 *2 *1) (-12 (-5 *2 (-577)) (-5 *1 (-942 *3)) (-4 *3 (-318)))))
-(((*1 *1 *1 *1) (-4 *1 (-997))))
-(((*1 *2 *1)
- (-12 (-5 *2 (-665 (-52))) (-5 *1 (-916 *3)) (-4 *3 (-1130)))))
-(((*1 *1 *1 *1 *2 *3)
- (-12 (-5 *2 (-665 (-1170 *4 *5))) (-5 *3 (-1 (-112) *5 *5))
- (-4 *4 (-13 (-1130) (-34))) (-4 *5 (-13 (-1130) (-34)))
- (-5 *1 (-1171 *4 *5))))
- ((*1 *1 *1 *1 *2)
- (-12 (-5 *2 (-665 (-1170 *3 *4))) (-4 *3 (-13 (-1130) (-34)))
- (-4 *4 (-13 (-1130) (-34))) (-5 *1 (-1171 *3 *4)))))
-(((*1 *2 *1)
- (-12 (-4 *1 (-1006 *3 *4 *5 *6)) (-4 *3 (-1079)) (-4 *4 (-814))
- (-4 *5 (-870)) (-4 *6 (-1095 *3 *4 *5)) (-4 *3 (-569))
- (-5 *2 (-112)))))
+ (|partial| -12 (-5 *2 (-1202 *3)) (-4 *3 (-361)) (-5 *1 (-369 *3)))))
+(((*1 *2 *2)
+ (-12 (-4 *3 (-465)) (-5 *1 (-1238 *3 *2))
+ (-4 *2 (-13 (-443 *3) (-1232))))))
(((*1 *1 *2) (-12 (-5 *2 (-665 *3)) (-4 *3 (-1247)) (-4 *1 (-152 *3))))
((*1 *1 *2)
(-12
- (-5 *2 (-665 (-2 (|:| -2328 (-792)) (|:| -1343 *4) (|:| |num| *4))))
+ (-5 *2 (-665 (-2 (|:| -2099 (-792)) (|:| -2326 *4) (|:| |num| *4))))
(-4 *4 (-1273 *3)) (-4 *3 (-13 (-375) (-148))) (-5 *1 (-412 *3 *4))))
((*1 *1 *2 *3 *4)
- (-12 (-5 *2 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-12 (-5 *2 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-5 *3 (-665 (-980 (-577)))) (-5 *4 (-112)) (-5 *1 (-450))))
((*1 *1 *2 *3 *4)
- (-12 (-5 *2 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-12 (-5 *2 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-5 *3 (-665 (-1206))) (-5 *4 (-112)) (-5 *1 (-450))))
((*1 *2 *1)
(-12 (-5 *2 (-1187 *3)) (-5 *1 (-614 *3)) (-4 *3 (-1247))))
@@ -4803,24 +4394,24 @@
((*1 *1 *2 *3)
(-12 (-5 *1 (-734 *2 *3 *4)) (-4 *2 (-870)) (-4 *3 (-1130))
(-14 *4
- (-1 (-112) (-2 (|:| -3354 *2) (|:| -2328 *3))
- (-2 (|:| -3354 *2) (|:| -2328 *3))))))
+ (-1 (-112) (-2 (|:| -3266 *2) (|:| -2099 *3))
+ (-2 (|:| -3266 *2) (|:| -2099 *3))))))
((*1 *1 *2 *3) (-12 (-5 *2 (-519)) (-5 *3 (-1148)) (-5 *1 (-859))))
((*1 *1 *2 *3)
(-12 (-5 *1 (-896 *2 *3)) (-4 *2 (-1247)) (-4 *3 (-1247))))
((*1 *1 *2)
- (-12 (-5 *2 (-665 (-2 (|:| -4376 (-1206)) (|:| -2727 *4))))
+ (-12 (-5 *2 (-665 (-2 (|:| -4375 (-1206)) (|:| -3988 *4))))
(-4 *4 (-1130)) (-5 *1 (-913 *3 *4)) (-4 *3 (-1130))))
((*1 *2 *3 *4)
(-12 (-5 *4 (-665 *5)) (-4 *5 (-13 (-1130) (-34)))
(-5 *2 (-665 (-1170 *3 *5))) (-5 *1 (-1170 *3 *5))
(-4 *3 (-13 (-1130) (-34)))))
((*1 *2 *3)
- (-12 (-5 *3 (-665 (-2 (|:| |val| *4) (|:| -3613 *5))))
+ (-12 (-5 *3 (-665 (-2 (|:| |val| *4) (|:| -1829 *5))))
(-4 *4 (-13 (-1130) (-34))) (-4 *5 (-13 (-1130) (-34)))
(-5 *2 (-665 (-1170 *4 *5))) (-5 *1 (-1170 *4 *5))))
((*1 *1 *2)
- (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -3613 *4)))
+ (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -1829 *4)))
(-4 *3 (-13 (-1130) (-34))) (-4 *4 (-13 (-1130) (-34)))
(-5 *1 (-1170 *3 *4))))
((*1 *1 *2 *3)
@@ -4843,117 +4434,118 @@
(-4 *4 (-13 (-1130) (-34))) (-5 *1 (-1171 *3 *4))))
((*1 *1 *2 *3)
(-12 (-5 *1 (-1195 *2 *3)) (-4 *2 (-1130)) (-4 *3 (-1130)))))
-(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4)
- (-12 (-5 *3 (-1188)) (-5 *4 (-577)) (-5 *5 (-710 (-228)))
- (-5 *2 (-1065)) (-5 *1 (-775)))))
-(((*1 *1 *1 *2)
- (-12 (-5 *2 (-792)) (-4 *1 (-1273 *3)) (-4 *3 (-1079))))
- ((*1 *1 *1 *2)
- (-12 (-5 *2 (-949)) (-4 *1 (-1275 *3 *4)) (-4 *3 (-1079))
- (-4 *4 (-813))))
- ((*1 *1 *1 *2)
- (-12 (-5 *2 (-420 (-577))) (-4 *1 (-1278 *3)) (-4 *3 (-1079)))))
-(((*1 *2 *3 *4 *5)
- (-12 (-5 *4 (-112)) (-4 *6 (-13 (-465) (-1068 (-577)) (-659 (-577))))
- (-4 *3 (-13 (-27) (-1232) (-443 *6) (-10 -8 (-15 -3709 ($ *7)))))
- (-4 *7 (-869))
- (-4 *8
- (-13 (-1275 *3 *7) (-375) (-1232)
- (-10 -8 (-15 -3641 ($ $)) (-15 -1869 ($ $)))))
- (-5 *2
- (-3 (|:| |%series| *8)
- (|:| |%problem| (-2 (|:| |func| (-1188)) (|:| |prob| (-1188))))))
- (-5 *1 (-435 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1188)) (-4 *9 (-1013 *8))
- (-14 *10 (-1206)))))
-(((*1 *2)
- (-12 (-4 *1 (-361))
- (-5 *2 (-665 (-2 (|:| -3759 (-577)) (|:| -2328 (-577))))))))
+(((*1 *2 *3 *1)
+ (-12 (-4 *1 (-1101 *4 *5 *6 *3)) (-4 *4 (-465)) (-4 *5 (-814))
+ (-4 *6 (-870)) (-4 *3 (-1095 *4 *5 *6)) (-5 *2 (-112)))))
+(((*1 *1 *2)
+ (-12 (-5 *2 (-665 (-665 *3))) (-4 *3 (-1130)) (-5 *1 (-933 *3)))))
(((*1 *2 *3)
- (-12 (-5 *3 (-1187 (-1187 *4))) (-5 *2 (-1187 *4)) (-5 *1 (-1190 *4))
- (-4 *4 (-1079)))))
-(((*1 *2 *2)
- (-12 (-4 *3 (-13 (-375) (-869))) (-5 *1 (-183 *3 *2))
- (-4 *2 (-1273 (-171 *3))))))
-(((*1 *2 *1) (-12 (-5 *2 (-665 (-1165))) (-5 *1 (-692))))
- ((*1 *2 *1)
- (-12 (-5 *2 (-665 (-949))) (-5 *1 (-1131 *3 *4)) (-14 *3 (-949))
- (-14 *4 (-949)))))
-(((*1 *2 *1) (-12 (-5 *2 (-577)) (-5 *1 (-322))))
- ((*1 *2 *1)
- (-12 (-5 *2 (-792)) (-5 *1 (-1194 *3 *4)) (-14 *3 (-949))
- (-4 *4 (-1079)))))
-(((*1 *2 *1 *2) (-12 (-5 *1 (-1056 *2)) (-4 *2 (-1247)))))
-(((*1 *1 *1 *2) (-12 (-4 *1 (-741)) (-5 *2 (-949))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-743)) (-5 *2 (-792)))))
-(((*1 *2 *2 *2 *2 *2 *3)
- (-12 (-5 *2 (-710 *4)) (-5 *3 (-792)) (-4 *4 (-1079))
- (-5 *1 (-711 *4)))))
-(((*1 *1 *2 *3)
- (-12 (-5 *2 (-1297 *3)) (-4 *3 (-1273 *4)) (-4 *4 (-1251))
- (-4 *1 (-354 *4 *3 *5)) (-4 *5 (-1273 (-420 *3))))))
+ (-12 (-4 *4 (-361)) (-4 *5 (-340 *4)) (-4 *6 (-1273 *5))
+ (-5 *2 (-665 *3)) (-5 *1 (-798 *4 *5 *6 *3 *7)) (-4 *3 (-1273 *6))
+ (-14 *7 (-949)))))
+(((*1 *2 *1 *3 *3 *4)
+ (-12 (-5 *3 (-1 (-885) (-885) (-885))) (-5 *4 (-577)) (-5 *2 (-885))
+ (-5 *1 (-670 *5 *6 *7)) (-4 *5 (-1130)) (-4 *6 (-23)) (-14 *7 *6)))
+ ((*1 *2 *1 *2)
+ (-12 (-5 *2 (-885)) (-5 *1 (-877 *3 *4 *5)) (-4 *3 (-1079))
+ (-14 *4 (-99 *3)) (-14 *5 (-1 *3 *3))))
+ ((*1 *1 *2) (-12 (-5 *2 (-228)) (-5 *1 (-885))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1188)) (-5 *1 (-885))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1206)) (-5 *1 (-885))))
+ ((*1 *1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-885))))
+ ((*1 *2 *1 *2)
+ (-12 (-5 *2 (-885)) (-5 *1 (-1202 *3)) (-4 *3 (-1079)))))
+(((*1 *1 *1) (-4 *1 (-647)))
+ ((*1 *2 *2)
+ (-12 (-4 *3 (-569)) (-5 *1 (-648 *3 *2))
+ (-4 *2 (-13 (-443 *3) (-1032) (-1232))))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-1297 *4)) (-4 *4 (-1079)) (-4 *2 (-1273 *4))
+ (-5 *1 (-457 *4 *2))))
+ ((*1 *2 *3 *2 *4)
+ (-12 (-5 *2 (-420 (-1202 (-327 *5)))) (-5 *3 (-1297 (-327 *5)))
+ (-5 *4 (-577)) (-4 *5 (-569)) (-5 *1 (-1160 *5)))))
+(((*1 *2 *1)
+ (-12 (-4 *1 (-617 *3 *4)) (-4 *3 (-1130)) (-4 *4 (-1247))
+ (-5 *2 (-665 *3)))))
+(((*1 *2 *3 *4)
+ (|partial| -12 (-5 *4 (-305 (-854 *3)))
+ (-4 *5 (-13 (-465) (-1068 (-577)) (-659 (-577))))
+ (-5 *2 (-854 *3)) (-5 *1 (-654 *5 *3))
+ (-4 *3 (-13 (-27) (-1232) (-443 *5)))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *4 (-305 (-854 (-980 *5)))) (-4 *5 (-465))
+ (-5 *2 (-854 (-420 (-980 *5)))) (-5 *1 (-655 *5))
+ (-5 *3 (-420 (-980 *5)))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *4 (-305 (-420 (-980 *5)))) (-5 *3 (-420 (-980 *5)))
+ (-4 *5 (-465)) (-5 *2 (-854 *3)) (-5 *1 (-655 *5)))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-665 *2)) (-4 *2 (-443 *4)) (-5 *1 (-159 *4 *2))
+ (-4 *4 (-569)))))
(((*1 *1 *2)
(-12 (-5 *2 (-1297 *3)) (-4 *3 (-375)) (-14 *6 (-1297 (-710 *3)))
(-5 *1 (-44 *3 *4 *5 *6)) (-14 *4 (-949)) (-14 *5 (-665 (-1206)))))
((*1 *1 *2) (-12 (-5 *2 (-1155 (-577) (-630 (-48)))) (-5 *1 (-48))))
((*1 *2 *3) (-12 (-5 *2 (-52)) (-5 *1 (-51 *3)) (-4 *3 (-1247))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722 'JINT 'X 'ELAM) (-3722) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640 'JINT 'X 'ELAM) (-3640) (-720))))
(-5 *1 (-61 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722) (-3722 'XC) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640) (-3640 'XC) (-720))))
(-5 *1 (-63 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-351 (-3722 'X) (-3722) (-720))) (-5 *1 (-64 *3))
+ (-12 (-5 *2 (-351 (-3640 'X) (-3640) (-720))) (-5 *1 (-64 *3))
(-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-351 (-3722) (-3722 'XC) (-720))) (-5 *1 (-66 *3))
+ (-12 (-5 *2 (-351 (-3640) (-3640 'XC) (-720))) (-5 *1 (-66 *3))
(-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722 'X) (-3722 '-2573) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640 'X) (-3640 '-2537) (-720))))
(-5 *1 (-71 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722) (-3722 'X) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640) (-3640 'X) (-720))))
(-5 *1 (-74 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722 'X 'EPS) (-3722 '-2573) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640 'X 'EPS) (-3640 '-2537) (-720))))
(-5 *1 (-75 *3 *4 *5)) (-14 *3 (-1206)) (-14 *4 (-1206))
(-14 *5 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722 'EPS) (-3722 'YA 'YB) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640 'EPS) (-3640 'YA 'YB) (-720))))
(-5 *1 (-76 *3 *4 *5)) (-14 *3 (-1206)) (-14 *4 (-1206))
(-14 *5 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-351 (-3722) (-3722 'X) (-720))) (-5 *1 (-77 *3))
+ (-12 (-5 *2 (-351 (-3640) (-3640 'X) (-720))) (-5 *1 (-77 *3))
(-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-351 (-3722) (-3722 'X) (-720))) (-5 *1 (-78 *3))
+ (-12 (-5 *2 (-351 (-3640) (-3640 'X) (-720))) (-5 *1 (-78 *3))
(-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722) (-3722 'XC) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640) (-3640 'XC) (-720))))
(-5 *1 (-79 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722) (-3722 'X) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640) (-3640 'X) (-720))))
(-5 *1 (-80 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722 'X '-2573) (-3722) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640 'X '-2537) (-3640) (-720))))
(-5 *1 (-82 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-710 (-351 (-3722 'X '-2573) (-3722) (-720))))
+ (-12 (-5 *2 (-710 (-351 (-3640 'X '-2537) (-3640) (-720))))
(-5 *1 (-83 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-710 (-351 (-3722 'X) (-3722) (-720)))) (-5 *1 (-84 *3))
+ (-12 (-5 *2 (-710 (-351 (-3640 'X) (-3640) (-720)))) (-5 *1 (-84 *3))
(-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722 'X) (-3722) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640 'X) (-3640) (-720))))
(-5 *1 (-85 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-1297 (-351 (-3722 'X) (-3722 '-2573) (-720))))
+ (-12 (-5 *2 (-1297 (-351 (-3640 'X) (-3640 '-2537) (-720))))
(-5 *1 (-86 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-710 (-351 (-3722 'XL 'XR 'ELAM) (-3722) (-720))))
+ (-12 (-5 *2 (-710 (-351 (-3640 'XL 'XR 'ELAM) (-3640) (-720))))
(-5 *1 (-87 *3)) (-14 *3 (-1206))))
((*1 *1 *2)
- (-12 (-5 *2 (-351 (-3722 'X) (-3722 '-2573) (-720))) (-5 *1 (-89 *3))
+ (-12 (-5 *2 (-351 (-3640 'X) (-3640 '-2537) (-720))) (-5 *1 (-89 *3))
(-14 *3 (-1206))))
((*1 *1 *2)
(-12 (-5 *2 (-665 (-137 *3 *4 *5))) (-5 *1 (-137 *3 *4 *5))
@@ -5004,85 +4596,85 @@
((*1 *1 *2) (-12 (-4 *1 (-386 *2 *3)) (-4 *2 (-870)) (-4 *3 (-174))))
((*1 *1 *2)
(-12
- (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -1497 (-665 (-341)))))
+ (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -4100 (-665 (-341)))))
(-4 *1 (-395))))
((*1 *1 *2) (-12 (-5 *2 (-341)) (-4 *1 (-395))))
((*1 *1 *2) (-12 (-5 *2 (-665 (-341))) (-4 *1 (-395))))
((*1 *1 *2) (-12 (-5 *2 (-710 (-720))) (-4 *1 (-395))))
((*1 *1 *2)
(-12
- (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -1497 (-665 (-341)))))
+ (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -4100 (-665 (-341)))))
(-4 *1 (-396))))
((*1 *1 *2) (-12 (-5 *2 (-341)) (-4 *1 (-396))))
((*1 *1 *2) (-12 (-5 *2 (-665 (-341))) (-4 *1 (-396))))
((*1 *2 *3) (-12 (-5 *2 (-407)) (-5 *1 (-406 *3)) (-4 *3 (-1130))))
((*1 *1 *2)
(-12
- (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -1497 (-665 (-341)))))
+ (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -4100 (-665 (-341)))))
(-4 *1 (-409))))
((*1 *1 *2) (-12 (-5 *2 (-341)) (-4 *1 (-409))))
((*1 *1 *2) (-12 (-5 *2 (-665 (-341))) (-4 *1 (-409))))
((*1 *1 *2)
(-12 (-5 *2 (-305 (-327 (-171 (-391))))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-305 (-327 (-391)))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-305 (-327 (-577)))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-327 (-171 (-391)))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-327 (-391))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-327 (-577))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-305 (-327 (-715)))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
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(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-305 (-327 (-720)))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
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(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-305 (-327 (-722)))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
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(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-327 (-715))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
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(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-327 (-720))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
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(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-327 (-722))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12
- (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -1497 (-665 (-341)))))
+ (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -4100 (-665 (-341)))))
(-5 *1 (-411 *3 *4 *5 *6)) (-14 *3 (-1206))
- (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-665 (-341))) (-5 *1 (-411 *3 *4 *5 *6))
- (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *3 (-1206)) (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-341)) (-5 *1 (-411 *3 *4 *5 *6)) (-14 *3 (-1206))
- (-14 *4 (-3 (|:| |fst| (-447)) (|:| -1900 "void")))
+ (-14 *4 (-3 (|:| |fst| (-447)) (|:| -3907 "void")))
(-14 *5 (-665 (-1206))) (-14 *6 (-1210))))
((*1 *1 *2)
(-12 (-5 *2 (-342 *4)) (-4 *4 (-13 (-870) (-21)))
@@ -5109,14 +4701,14 @@
((*1 *1 *2) (-12 (-5 *2 (-447)) (-5 *1 (-450))))
((*1 *1 *2)
(-12
- (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -1497 (-665 (-341)))))
+ (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -4100 (-665 (-341)))))
(-4 *1 (-453))))
((*1 *1 *2) (-12 (-5 *2 (-341)) (-4 *1 (-453))))
((*1 *1 *2) (-12 (-5 *2 (-665 (-341))) (-4 *1 (-453))))
((*1 *1 *2) (-12 (-5 *2 (-1297 (-720))) (-4 *1 (-453))))
((*1 *1 *2)
(-12
- (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -1497 (-665 (-341)))))
+ (-5 *2 (-2 (|:| |localSymbols| (-1210)) (|:| -4100 (-665 (-341)))))
(-4 *1 (-454))))
((*1 *1 *2) (-12 (-5 *2 (-341)) (-4 *1 (-454))))
((*1 *1 *2) (-12 (-5 *2 (-665 (-341))) (-4 *1 (-454))))
@@ -5185,7 +4777,7 @@
(-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3))
(-14 *6 (-1 (-3 *2 "failed") *2 *2 *3))))
((*1 *1 *2)
- (-12 (-5 *2 (-665 (-2 (|:| -4473 *3) (|:| -3305 *4))))
+ (-12 (-5 *2 (-665 (-2 (|:| -2695 *3) (|:| -1530 *4))))
(-4 *3 (-1079)) (-4 *4 (-747)) (-5 *1 (-756 *3 *4))))
((*1 *1 *2) (-12 (-5 *2 (-577)) (-4 *1 (-784))))
((*1 *1 *2)
@@ -5194,25 +4786,25 @@
(-3
(|:| |nia|
(-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
- (|:| -3433 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
+ (|:| -2051 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
(|:| |relerr| (-228))))
(|:| |mdnia|
(-2 (|:| |fn| (-327 (-228)))
- (|:| -3433 (-665 (-1124 (-864 (-228)))))
+ (|:| -2051 (-665 (-1124 (-864 (-228)))))
(|:| |abserr| (-228)) (|:| |relerr| (-228))))))
(-5 *1 (-790))))
((*1 *1 *2)
(-12
(-5 *2
(-2 (|:| |fn| (-327 (-228)))
- (|:| -3433 (-665 (-1124 (-864 (-228))))) (|:| |abserr| (-228))
+ (|:| -2051 (-665 (-1124 (-864 (-228))))) (|:| |abserr| (-228))
(|:| |relerr| (-228))))
(-5 *1 (-790))))
((*1 *1 *2)
(-12
(-5 *2
(-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
- (|:| -3433 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
+ (|:| -2051 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
(|:| |relerr| (-228))))
(-5 *1 (-790))))
((*1 *2 *3) (-12 (-5 *2 (-795)) (-5 *1 (-794 *3)) (-4 *3 (-1247))))
@@ -5230,23 +4822,23 @@
(-5 *2
(-3
(|:| |noa|
- (-2 (|:| |fn| (-327 (-228))) (|:| -2443 (-665 (-228)))
+ (-2 (|:| |fn| (-327 (-228))) (|:| -2687 (-665 (-228)))
(|:| |lb| (-665 (-864 (-228))))
(|:| |cf| (-665 (-327 (-228))))
(|:| |ub| (-665 (-864 (-228))))))
(|:| |lsa|
(-2 (|:| |lfn| (-665 (-327 (-228))))
- (|:| -2443 (-665 (-228)))))))
+ (|:| -2687 (-665 (-228)))))))
(-5 *1 (-862))))
((*1 *1 *2)
(-12
(-5 *2
- (-2 (|:| |lfn| (-665 (-327 (-228)))) (|:| -2443 (-665 (-228)))))
+ (-2 (|:| |lfn| (-665 (-327 (-228)))) (|:| -2687 (-665 (-228)))))
(-5 *1 (-862))))
((*1 *1 *2)
(-12
(-5 *2
- (-2 (|:| |fn| (-327 (-228))) (|:| -2443 (-665 (-228)))
+ (-2 (|:| |fn| (-327 (-228))) (|:| -2687 (-665 (-228)))
(|:| |lb| (-665 (-864 (-228)))) (|:| |cf| (-665 (-327 (-228))))
(|:| |ub| (-665 (-864 (-228))))))
(-5 *1 (-862))))
@@ -5347,341 +4939,311 @@
((*1 *1 *2)
(-12 (-5 *2 (-685 *3 *4)) (-4 *3 (-870)) (-4 *4 (-174))
(-5 *1 (-1317 *3 *4)))))
-(((*1 *2 *1) (-12 (-5 *2 (-577)) (-5 *1 (-885)))))
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- (-12 (-5 *3 (-916 *4)) (-4 *4 (-1130)) (-5 *2 (-665 *5))
- (-5 *1 (-914 *4 *5)) (-4 *5 (-1247)))))
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- (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-32 *3 *4))
- (-4 *4 (-443 *3))))
- ((*1 *1 *2 *3) (-12 (-5 *2 (-1206)) (-5 *3 (-55)) (-5 *1 (-115))))
- ((*1 *1 *2 *3) (-12 (-5 *2 (-1206)) (-5 *3 (-792)) (-5 *1 (-115))))
- ((*1 *1 *2) (-12 (-5 *2 (-1206)) (-5 *1 (-115))))
- ((*1 *2 *2)
- (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-159 *3 *4))
- (-4 *4 (-443 *3))))
- ((*1 *2 *3) (-12 (-5 *3 (-1206)) (-5 *2 (-115)) (-5 *1 (-164))))
- ((*1 *2 *2)
- (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-286 *3 *4))
- (-4 *4 (-13 (-443 *3) (-1032)))))
- ((*1 *2 *2) (-12 (-5 *2 (-115)) (-5 *1 (-312 *3)) (-4 *3 (-313))))
- ((*1 *2 *2) (-12 (-4 *1 (-313)) (-5 *2 (-115))))
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- (-4 *3 (-443 *4))))
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- (-4 *4 (-443 *3))))
- ((*1 *2 *1) (-12 (-5 *2 (-115)) (-5 *1 (-630 *3)) (-4 *3 (-1130))))
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- (-4 *4 (-13 (-443 *3) (-1032) (-1232)))))
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+ (-12 (-5 *2 (-665 *4)) (-4 *4 (-1079)) (-4 *1 (-1153 *3 *4 *5 *6))
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+ (-12 (-5 *3 (-665 *2)) (-4 *2 (-977 *4 *5 *6)) (-4 *4 (-318))
+ (-4 *5 (-814)) (-4 *6 (-870)) (-5 *1 (-460 *4 *5 *6 *2)))))
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+ (-12
+ (-5 *3
+ (-665 (-2 (|:| -2712 (-420 (-577))) (|:| -2725 (-420 (-577))))))
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(((*1 *2 *1) (-12 (|has| *1 (-6 -4499)) (-4 *1 (-34)) (-5 *2 (-792))))
((*1 *2 *1) (-12 (-5 *2 (-792)) (-5 *1 (-257))))
((*1 *2 *1) (-12 (-5 *2 (-792)) (-5 *1 (-1001))))
@@ -5870,109 +5495,92 @@
((*1 *2 *1)
(-12 (-5 *2 (-792)) (-5 *1 (-1320 *3 *4)) (-4 *3 (-1079))
(-4 *4 (-867)))))
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+ (-12 (-5 *3 (-665 (-1297 *5))) (-5 *4 (-577)) (-5 *2 (-1297 *5))
+ (-5 *1 (-1059 *5)) (-4 *5 (-375)) (-4 *5 (-380)) (-4 *5 (-1079)))))
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+ (-12 (-5 *2 (-665 *6)) (-4 *6 (-1095 *3 *4 *5)) (-4 *3 (-148))
+ (-4 *3 (-318)) (-4 *3 (-569)) (-4 *4 (-814)) (-4 *5 (-870))
+ (-5 *1 (-1007 *3 *4 *5 *6)))))
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+ (-12 (-5 *4 (-1 (-1187 *3))) (-5 *2 (-1187 *3)) (-5 *1 (-1190 *3))
+ (-4 *3 (-38 (-420 (-577)))) (-4 *3 (-1079)))))
+(((*1 *2 *3 *3)
+ (-12 (-4 *4 (-569))
+ (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3871 *4)))
+ (-5 *1 (-999 *4 *3)) (-4 *3 (-1273 *4)))))
+(((*1 *2 *3) (-12 (-5 *3 (-1188)) (-5 *2 (-1302)) (-5 *1 (-247))))
+ ((*1 *2 *3)
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(((*1 *1 *1 *2)
(|partial| -12 (-4 *1 (-167 *2)) (-4 *2 (-174)) (-4 *2 (-569))))
((*1 *1 *1 *2)
@@ -5994,396 +5602,487 @@
(-4 *5 (-244 *4 *2)) (-4 *6 (-244 *3 *2)) (-4 *2 (-569))))
((*1 *2 *2 *2)
(|partial| -12 (-5 *2 (-1187 *3)) (-4 *3 (-1079)) (-5 *1 (-1190 *3)))))
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- (-5 *5 (-112)) (-5 *2 (-1299)) (-5 *1 (-265)))))
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(-5 *3
- (-2
- (|:| |endPointContinuity|
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- "There is a singularity at the lower end point")
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- "There is a singularity at the upper end point")
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- "There are singularities at both end points")
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- "End point continuity not yet evaluated")))
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- "Internal singularities not yet evaluated")))
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- (-3 (|:| |finite| "The range is finite")
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- (|:| |upperInfinite| "The top of range is infinite")
- (|:| |bothInfinite|
- "Both top and bottom points are infinite")
- (|:| |notEvaluated| "Range not yet evaluated")))))
- (-5 *2 (-1065)) (-5 *1 (-316)))))
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+ (-2 (|:| |scalar| (-420 (-577))) (|:| |coeff| (-1202 *2))
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- (-12 (-4 *4 (-569))
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+ (-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")))
+ (-5 *1 (-194)))))
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- (-12 (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1290 *3 *2))
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(((*1 *2 *3)
- (-12
- (-5 *3
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- (-4 *4 (-1079)))))
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(((*1 *2 *3)
- (-12 (-4 *4 (-569)) (-5 *2 (-792)) (-5 *1 (-43 *4 *3))
- (-4 *3 (-430 *4)))))
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(((*1 *1 *1 *2 *3)
(-12 (-5 *2 (-665 (-1206))) (-5 *3 (-1206)) (-5 *1 (-549))))
((*1 *2 *3 *2)
@@ -6395,156 +6094,164 @@
((*1 *2 *3 *2 *4)
(-12 (-5 *4 (-665 (-1206))) (-5 *2 (-1206)) (-5 *1 (-725 *3))
(-4 *3 (-632 (-549))))))
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((*1 *2 *3)
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+ (-5 *1 (-978 *4 *5 *6 *7 *3))
+ (-4 *3
+ (-13 (-375)
+ (-10 -8 (-15 -3630 ($ *7)) (-15 -2541 (*7 $))
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(((*1 *2 *3 *4)
(-12 (-5 *3 (-862)) (-5 *4 (-1093)) (-5 *2 (-1065)) (-5 *1 (-861))))
((*1 *2 *3) (-12 (-5 *3 (-862)) (-5 *2 (-1065)) (-5 *1 (-861))))
@@ -6561,350 +6268,534 @@
((*1 *2 *3 *4)
(-12 (-5 *3 (-665 (-327 (-391)))) (-5 *4 (-665 (-391)))
(-5 *2 (-1065)) (-5 *1 (-861)))))
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- (-12 (-5 *3 (-577)) (-5 *4 (-1188)) (-5 *5 (-710 (-228)))
- (-5 *2 (-1065)) (-5 *1 (-768)))))
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+ ((*1 *1 *1) (-5 *1 (-1298))))
(((*1 *2 *3)
- (-12
- (-5 *3
- (-2 (|:| |pde| (-665 (-327 (-228))))
- (|:| |constraints|
- (-665
- (-2 (|:| |start| (-228)) (|:| |finish| (-228))
- (|:| |grid| (-792)) (|:| |boundaryType| (-577))
- (|:| |dStart| (-710 (-228))) (|:| |dFinish| (-710 (-228))))))
- (|:| |f| (-665 (-665 (-327 (-228))))) (|:| |st| (-1188))
- (|:| |tol| (-228))))
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+ ((*1 *1 *2 *1)
+ (-12 (-4 *1 (-293 *2)) (-4 *2 (-1247)) (-4 *2 (-1130))))
+ ((*1 *1 *2 *1)
+ (-12 (-5 *2 (-1 (-112) *3)) (-4 *1 (-293 *3)) (-4 *3 (-1247))))
+ ((*1 *2 *3 *1)
+ (|partial| -12 (-4 *1 (-628 *3 *2)) (-4 *3 (-1130)) (-4 *2 (-1130))))
+ ((*1 *1 *2 *1 *3)
+ (-12 (-5 *2 (-1 (-112) *4)) (-5 *3 (-577)) (-4 *4 (-1130))
+ (-5 *1 (-758 *4))))
+ ((*1 *1 *2 *1 *3)
+ (-12 (-5 *3 (-577)) (-5 *1 (-758 *2)) (-4 *2 (-1130))))
+ ((*1 *1 *2 *1)
+ (-12 (-5 *2 (-1170 *3 *4)) (-4 *3 (-13 (-1130) (-34)))
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(((*1 *2 *2 *3 *3)
(-12 (-5 *3 (-420 *5)) (-4 *4 (-1251)) (-4 *5 (-1273 *4))
(-5 *1 (-149 *4 *5 *2)) (-4 *2 (-1273 *3))))
@@ -7003,90 +6894,76 @@
((*1 *2 *1 *3)
(-12 (-4 *1 (-1275 *3 *4)) (-4 *3 (-1079)) (-4 *4 (-813))
(|has| *3 (-15 ** (*3 *3 *4))) (-5 *2 (-1187 *3)))))
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- (-12 (-5 *2 (-2 (|:| -2203 *1) (|:| -2519 *1))) (-4 *1 (-318))))
- ((*1 *2 *1 *1)
- (|partial| -12 (-4 *3 (-1130))
- (-5 *2 (-2 (|:| |lm| *1) (|:| |rm| *1))) (-4 *1 (-398 *3))))
- ((*1 *2 *1 *1)
- (-12 (-5 *2 (-2 (|:| -2203 (-792)) (|:| -2519 (-792))))
- (-5 *1 (-792))))
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- (-12 (-4 *4 (-569)) (-5 *2 (-2 (|:| -2203 *3) (|:| -2519 *3)))
- (-5 *1 (-999 *4 *3)) (-4 *3 (-1273 *4)))))
(((*1 *2 *1)
- (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1247)) (-4 *4 (-385 *3))
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-(((*1 *2 *2) (-12 (-5 *2 (-665 (-327 (-228)))) (-5 *1 (-277)))))
+ (-12 (-4 *1 (-261 *3 *4 *2 *5)) (-4 *3 (-1079)) (-4 *4 (-870))
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(((*1 *2 *3)
- (-12 (-5 *3 (-665 (-1206))) (-5 *2 (-1302)) (-5 *1 (-1249))))
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-(((*1 *2 *3 *4)
- (-12 (-5 *3 (-431 *5)) (-4 *5 (-569))
+ (-12 (-4 *3 (-1273 *2)) (-4 *2 (-1273 *4))
+ (-5 *1 (-1015 *4 *2 *3 *5)) (-4 *4 (-361)) (-4 *5 (-745 *2 *3)))))
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+ (-5 *3
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(-5 *2
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+ (-2 (|:| |stiffnessFactor| (-391)) (|:| |stabilityFactor| (-391))))
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(((*1 *2 *1)
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+ (-12 (-4 *4 (-937)) (-4 *5 (-814)) (-4 *6 (-870))
+ (-4 *7 (-977 *4 *5 *6)) (-5 *2 (-431 (-1202 *7)))
+ (-5 *1 (-934 *4 *5 *6 *7)) (-5 *3 (-1202 *7))))
+ ((*1 *2 *3)
+ (-12 (-4 *4 (-937)) (-4 *5 (-1273 *4)) (-5 *2 (-431 (-1202 *5)))
+ (-5 *1 (-935 *4 *5)) (-5 *3 (-1202 *5)))))
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+ (-12 (-5 *3 (-577)) (-5 *5 (-710 (-228))) (-5 *4 (-228))
+ (-5 *2 (-1065)) (-5 *1 (-773)))))
+(((*1 *1 *2) (-12 (-5 *2 (-665 *3)) (-4 *3 (-1130)) (-5 *1 (-933 *3)))))
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+ (-12 (-4 *4 (-13 (-569) (-1068 (-577)))) (-5 *2 (-420 (-577)))
+ (-5 *1 (-446 *4 *3)) (-4 *3 (-443 *4))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *4 (-630 *3)) (-4 *3 (-443 *5))
+ (-4 *5 (-13 (-569) (-1068 (-577)))) (-5 *2 (-1202 (-420 (-577))))
+ (-5 *1 (-446 *5 *3)))))
+(((*1 *2 *2 *3 *4)
+ (|partial| -12 (-5 *2 (-665 (-1202 *7))) (-5 *3 (-1202 *7))
+ (-4 *7 (-977 *5 *6 *4)) (-4 *5 (-937)) (-4 *6 (-814))
+ (-4 *4 (-870)) (-5 *1 (-934 *5 *6 *4 *7)))))
+(((*1 *2 *1) (-12 (-4 *1 (-379 *3)) (-4 *3 (-174)) (-5 *2 (-1202 *3)))))
+(((*1 *1 *1 *2)
+ (-12 (-5 *2 (-665 (-792))) (-5 *1 (-1194 *3 *4)) (-14 *3 (-949))
+ (-4 *4 (-1079)))))
+(((*1 *2 *1) (-12 (-5 *2 (-665 (-1188))) (-5 *1 (-407))))
+ ((*1 *2 *1) (-12 (-5 *2 (-665 (-1188))) (-5 *1 (-1227)))))
(((*1 *1 *2) (-12 (-5 *2 (-949)) (-4 *1 (-380))))
((*1 *2 *3 *3)
(-12 (-5 *3 (-949)) (-5 *2 (-1297 *4)) (-5 *1 (-541 *4))
@@ -7094,224 +6971,35 @@
((*1 *2 *1)
(-12 (-4 *2 (-870)) (-5 *1 (-734 *2 *3 *4)) (-4 *3 (-1130))
(-14 *4
- (-1 (-112) (-2 (|:| -3354 *2) (|:| -2328 *3))
- (-2 (|:| -3354 *2) (|:| -2328 *3)))))))
-(((*1 *2 *2) (-12 (-5 *2 (-1124 (-864 (-228)))) (-5 *1 (-316)))))
-(((*1 *1 *1) (-12 (-4 *1 (-120 *2)) (-4 *2 (-1247))))
- ((*1 *1 *1) (-12 (-5 *1 (-693 *2)) (-4 *2 (-870))))
- ((*1 *1 *1) (-12 (-5 *1 (-698 *2)) (-4 *2 (-870))))
- ((*1 *1 *1) (-5 *1 (-885)))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-885))))
- ((*1 *2 *1)
- (-12 (-4 *2 (-13 (-869) (-375))) (-5 *1 (-1091 *2 *3))
- (-4 *3 (-1273 *2)))))
-(((*1 *2 *1)
- (-12 (-4 *3 (-174)) (-4 *2 (-23)) (-5 *1 (-300 *3 *4 *2 *5 *6 *7))
- (-4 *4 (-1273 *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 (-732 *3 *2 *4 *5 *6)) (-4 *3 (-174))
- (-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 (-1273 *3)) (-5 *1 (-733 *3 *2)) (-4 *3 (-1079))))
- ((*1 *2 *1)
- (-12 (-4 *2 (-23)) (-5 *1 (-736 *3 *2 *4 *5 *6)) (-4 *3 (-174))
- (-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 (-892 *3)) (-5 *2 (-577)))))
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- ((*1 *2 *2 *2 *3 *4)
- (-12 (-5 *2 (-710 *5)) (-5 *3 (-99 *5)) (-5 *4 (-1 *5 *5))
- (-4 *5 (-375)) (-5 *1 (-1008 *5)))))
+ (-1 (-112) (-2 (|:| -3266 *2) (|:| -2099 *3))
+ (-2 (|:| -3266 *2) (|:| -2099 *3)))))))
(((*1 *2 *3)
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(((*1 *2 *3)
(-12 (-5 *2 (-665 (-1188))) (-5 *1 (-247)) (-5 *3 (-1188))))
((*1 *2 *2) (-12 (-5 *2 (-665 (-1188))) (-5 *1 (-247))))
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@@ -7353,744 +7258,626 @@
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((*1 *1 *1 *1)
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((*1 *1 *2 *1)
(-12 (-14 *3 (-665 (-1206))) (-4 *4 (-174))
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((*1 *1 *1 *2)
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(-5 *2
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(-5 *1 (-1205)))))
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(((*1 *1 *1 *2) (-12 (-5 *2 (-519)) (-5 *1 (-115))))
((*1 *2 *2 *3)
(-12 (-5 *3 (-519)) (-4 *4 (-1130)) (-5 *1 (-957 *4 *2))
@@ -9572,234 +9325,158 @@
((*1 *2 *3 *4)
(-12 (-5 *3 (-1206)) (-5 *4 (-519)) (-5 *2 (-327 (-577)))
(-5 *1 (-958)))))
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+ (-12 (-4 *3 (-465)) (-4 *4 (-870)) (-4 *5 (-814)) (-5 *2 (-665 *6))
+ (-5 *1 (-1017 *3 *4 *5 *6)) (-4 *6 (-977 *3 *5 *4)))))
(((*1 *1 *2 *2)
(-12
(-5 *2
- (-3 (|:| I (-327 (-577))) (|:| -2057 (-327 (-391)))
+ (-3 (|:| I (-327 (-577))) (|:| -2068 (-327 (-391)))
(|:| CF (-327 (-171 (-391)))) (|:| |switch| (-1205))))
(-5 *1 (-1205)))))
-(((*1 *1 *1 *2)
- (-12 (-5 *2 (-3 (-112) "failed")) (-4 *3 (-465)) (-4 *4 (-870))
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+ (-5 *1 (-1140)))))
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+ (-4 *4 (-430 *3)))))
(((*1 *2 *3)
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- (-5 *2
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- (|:| |notEvaluated| "Range not yet evaluated")))
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(-12
(-5 *2
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(-5 *1 (-1205)))))
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- (-12 (-4 *1 (-716 *3)) (-4 *3 (-1130))
- (-5 *2 (-665 (-2 (|:| -2727 *3) (|:| -1481 (-792))))))))
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- (|partial| -12 (-4 *1 (-875 *2)) (-4 *2 (-1079)) (-4 *2 (-375)))))
(((*1 *2 *3)
- (-12 (-5 *3 (-665 (-980 *4))) (-4 *4 (-465)) (-5 *2 (-112))
- (-5 *1 (-372 *4 *5)) (-14 *5 (-665 (-1206)))))
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- (-5 *1 (-1171 *3 *4)) (-4 *3 (-13 (-1130) (-34)))
- (-4 *4 (-13 (-1130) (-34))))))
+ (-12 (-5 *2 (-2 (|:| -4415 (-577)) (|:| -3824 (-665 *3))))
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(((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-96))))
((*1 *2 *1) (-12 (-5 *2 (-519)) (-5 *1 (-109))))
((*1 *2 *1)
@@ -10343,80 +9804,79 @@
((*1 *2 *1) (-12 (-5 *2 (-1206)) (-5 *1 (-1105 *3)) (-14 *3 *2)))
((*1 *2 *1) (-12 (-5 *2 (-519)) (-5 *1 (-1145))))
((*1 *1 *1) (-5 *1 (-1206))))
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- (-4 *2 (-13 (-443 *3) (-1032)))))
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- ((*1 *1 *2) (-12 (-5 *1 (-342 *2)) (-4 *2 (-870))))
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(-12 (-5 *1 (-608 *2)) (-4 *2 (-38 (-420 (-577)))) (-4 *2 (-1079)))))
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+ (-12 (-4 *1 (-1095 *2 *3 *4)) (-4 *2 (-1079)) (-4 *3 (-814))
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+ (-12 (-4 *1 (-1095 *2 *3 *4)) (-4 *2 (-1079)) (-4 *3 (-814))
+ (-4 *4 (-870)) (-4 *2 (-569)))))
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+ (-12 (-4 *1 (-1006 *3 *4 *5 *6)) (-4 *3 (-1079)) (-4 *4 (-814))
+ (-4 *5 (-870)) (-4 *6 (-1095 *3 *4 *5)) (-4 *3 (-569))
+ (-5 *2 (-112)))))
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+ (-12 (-5 *2 (-1132 (-1132 *3))) (-5 *1 (-932 *3)) (-4 *3 (-1130)))))
(((*1 *2 *3)
(|partial| -12
(-5 *3
(-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
- (|:| -3433 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
+ (|:| -2051 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
(|:| |relerr| (-228))))
(-5 *2
(-2
@@ -10434,7 +9894,7 @@
(-3 (|:| |str| (-1187 (-228)))
(|:| |notEvaluated|
"Internal singularities not yet evaluated")))
- (|:| -3433
+ (|:| -2051
(-3 (|:| |finite| "The range is finite")
(|:| |lowerInfinite| "The bottom of range is infinite")
(|:| |upperInfinite| "The top of range is infinite")
@@ -10442,730 +9902,859 @@
"Both top and bottom points are infinite")
(|:| |notEvaluated| "Range not yet evaluated")))))
(-5 *1 (-572)))))
-(((*1 *1 *2) (-12 (-5 *1 (-230 *2)) (-4 *2 (-13 (-375) (-1232))))))
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- (-12 (-4 *4 (-174)) (-5 *2 (-665 (-1297 *4))) (-5 *1 (-378 *3 *4))
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(-4 *3 (-379 *4))))
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+ (-4 *1 (-1101 *4 *5 *6 *3)))))
(((*1 *2 *2 *3)
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(((*1 *2 *3 *4)
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- (-5 *2 (-112)))))
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- (-5 *1 (-890 *5 *4 *6)) (-4 *4 (-1288 *5)) (-4 *6 (-1273 *5))))
- ((*1 *2 *3 *3 *4 *4)
- (|partial| -12 (-5 *3 (-792)) (-5 *4 (-1289 *5 *6 *7)) (-4 *5 (-375))
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- (-5 *1 (-891 *5 *6 *7))))
- ((*1 *2 *3 *3 *4)
- (|partial| -12 (-5 *3 (-792)) (-5 *4 (-1289 *5 *6 *7)) (-4 *5 (-375))
- (-14 *6 (-1206)) (-14 *7 *5) (-5 *2 (-420 (-1270 *6 *5)))
- (-5 *1 (-891 *5 *6 *7)))))
-(((*1 *1 *1 *1) (-5 *1 (-885))))
-(((*1 *2 *3 *3 *4 *4 *4 *4 *3 *3 *3 *3 *5 *3 *6)
- (-12 (-5 *3 (-577)) (-5 *5 (-710 (-228)))
- (-5 *6 (-3 (|:| |fn| (-401)) (|:| |fp| (-70 APROD)))) (-5 *4 (-228))
- (-5 *2 (-1065)) (-5 *1 (-777)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-1132 *4)) (-4 *4 (-1130)) (-5 *2 (-1 *4))
- (-5 *1 (-1047 *4))))
- ((*1 *2 *3 *3)
- (-12 (-5 *2 (-1 (-391))) (-5 *1 (-1070)) (-5 *3 (-391))))
- ((*1 *2 *3)
- (-12 (-5 *3 (-1124 (-577))) (-5 *2 (-1 (-577))) (-5 *1 (-1077)))))
-(((*1 *1 *1 *1 *2)
- (-12 (-4 *1 (-1095 *3 *4 *2)) (-4 *3 (-1079)) (-4 *4 (-814))
- (-4 *2 (-870))))
- ((*1 *1 *1 *1)
- (-12 (-4 *1 (-1095 *2 *3 *4)) (-4 *2 (-1079)) (-4 *3 (-814))
- (-4 *4 (-870)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-254 *4 *5)) (-14 *4 (-665 (-1206))) (-4 *5 (-1079))
- (-5 *2 (-494 *4 *5)) (-5 *1 (-972 *4 *5)))))
-(((*1 *1 *1 *1) (-12 (-5 *1 (-994 *2)) (-4 *2 (-1130)))))
+ (-12 (-5 *3 (-420 *6)) (-4 *5 (-1251)) (-4 *6 (-1273 *5))
+ (-5 *2 (-2 (|:| -2099 (-792)) (|:| -2695 *3) (|:| |radicand| *6)))
+ (-5 *1 (-149 *5 *6 *7)) (-5 *4 (-792)) (-4 *7 (-1273 *3)))))
(((*1 *2 *3 *4)
(-12 (-5 *3 (-710 *8)) (-4 *8 (-977 *5 *7 *6))
(-4 *5 (-13 (-318) (-148))) (-4 *6 (-13 (-870) (-632 (-1206))))
@@ -12711,7 +11329,7 @@
(|:| |wcond| (-665 (-980 *5)))
(|:| |bsoln|
(-2 (|:| |partsol| (-1297 (-420 (-980 *5))))
- (|:| -2104 (-665 (-1297 (-420 (-980 *5))))))))))
+ (|:| -1756 (-665 (-1297 (-420 (-980 *5))))))))))
(-5 *1 (-952 *5 *6 *7 *8)) (-5 *4 (-665 *8))))
((*1 *2 *3 *4)
(-12 (-5 *3 (-710 *8)) (-5 *4 (-665 (-1206))) (-4 *8 (-977 *5 *7 *6))
@@ -12723,7 +11341,7 @@
(|:| |wcond| (-665 (-980 *5)))
(|:| |bsoln|
(-2 (|:| |partsol| (-1297 (-420 (-980 *5))))
- (|:| -2104 (-665 (-1297 (-420 (-980 *5))))))))))
+ (|:| -1756 (-665 (-1297 (-420 (-980 *5))))))))))
(-5 *1 (-952 *5 *6 *7 *8))))
((*1 *2 *3)
(-12 (-5 *3 (-710 *7)) (-4 *7 (-977 *4 *6 *5))
@@ -12735,7 +11353,7 @@
(|:| |wcond| (-665 (-980 *4)))
(|:| |bsoln|
(-2 (|:| |partsol| (-1297 (-420 (-980 *4))))
- (|:| -2104 (-665 (-1297 (-420 (-980 *4))))))))))
+ (|:| -1756 (-665 (-1297 (-420 (-980 *4))))))))))
(-5 *1 (-952 *4 *5 *6 *7))))
((*1 *2 *3 *4 *5)
(-12 (-5 *3 (-710 *9)) (-5 *5 (-949)) (-4 *9 (-977 *6 *8 *7))
@@ -12747,7 +11365,7 @@
(|:| |wcond| (-665 (-980 *6)))
(|:| |bsoln|
(-2 (|:| |partsol| (-1297 (-420 (-980 *6))))
- (|:| -2104 (-665 (-1297 (-420 (-980 *6))))))))))
+ (|:| -1756 (-665 (-1297 (-420 (-980 *6))))))))))
(-5 *1 (-952 *6 *7 *8 *9)) (-5 *4 (-665 *9))))
((*1 *2 *3 *4 *5)
(-12 (-5 *3 (-710 *9)) (-5 *4 (-665 (-1206))) (-5 *5 (-949))
@@ -12759,7 +11377,7 @@
(|:| |wcond| (-665 (-980 *6)))
(|:| |bsoln|
(-2 (|:| |partsol| (-1297 (-420 (-980 *6))))
- (|:| -2104 (-665 (-1297 (-420 (-980 *6))))))))))
+ (|:| -1756 (-665 (-1297 (-420 (-980 *6))))))))))
(-5 *1 (-952 *6 *7 *8 *9))))
((*1 *2 *3 *4)
(-12 (-5 *3 (-710 *8)) (-5 *4 (-949)) (-4 *8 (-977 *5 *7 *6))
@@ -12771,7 +11389,7 @@
(|:| |wcond| (-665 (-980 *5)))
(|:| |bsoln|
(-2 (|:| |partsol| (-1297 (-420 (-980 *5))))
- (|:| -2104 (-665 (-1297 (-420 (-980 *5))))))))))
+ (|:| -1756 (-665 (-1297 (-420 (-980 *5))))))))))
(-5 *1 (-952 *5 *6 *7 *8))))
((*1 *2 *3 *4 *5)
(-12 (-5 *3 (-710 *9)) (-5 *4 (-665 *9)) (-5 *5 (-1188))
@@ -12802,548 +11420,1000 @@
(-4 *9 (-977 *6 *8 *7)) (-4 *6 (-13 (-318) (-148)))
(-4 *7 (-13 (-870) (-632 (-1206)))) (-4 *8 (-814)) (-5 *2 (-577))
(-5 *1 (-952 *6 *7 *8 *9)))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-665 (-327 (-228)))) (-5 *2 (-112)) (-5 *1 (-277)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-665 *8)) (-5 *4 (-665 *7)) (-4 *7 (-870))
+ (-4 *8 (-977 *5 *6 *7)) (-4 *5 (-569)) (-4 *6 (-814))
+ (-5 *2
+ (-2 (|:| |particular| (-3 (-1297 (-420 *8)) "failed"))
+ (|:| -1756 (-665 (-1297 (-420 *8))))))
+ (-5 *1 (-690 *5 *6 *7 *8)))))
+(((*1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-954)))))
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+ (-12 (-5 *3 (-420 *5)) (-4 *5 (-1273 *4)) (-4 *4 (-569))
+ (-4 *4 (-1079)) (-4 *2 (-1288 *4)) (-5 *1 (-1291 *4 *5 *6 *2))
+ (-4 *6 (-677 *5)))))
+(((*1 *1 *1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-176 *3)) (-4 *3 (-318))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-577)) (-4 *1 (-695 *3)) (-4 *3 (-1247))))
+ ((*1 *1 *1 *2)
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+ ((*1 *1 *1 *2) (-12 (-4 *1 (-892 *3)) (-5 *2 (-577))))
+ ((*1 *1 *1 *2)
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+ ((*1 *2 *3 *2)
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+ (-4 *4 (-465)) (-4 *5 (-814)) (-4 *6 (-870))
+ (-4 *7 (-1095 *4 *5 *6))))
+ ((*1 *2 *3 *1)
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+ (-4 *1 (-1101 *4 *5 *6 *7))))
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+ ((*1 *2 *3 *1)
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+ ((*1 *1 *2) (-12 (-5 *2 (-980 *1)) (-4 *1 (-27))))
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+ (|partial| -12 (-5 *2 (-1202 *1)) (-5 *3 (-949)) (-4 *1 (-1042))))
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+ (-4 *1 (-1042))))
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+ (-4 *1 (-1098 *4 *2)) (-4 *2 (-1273 *4)))))
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+ ((*1 *2 *3 *4)
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+ ((*1 *2 *3 *4)
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+ (-2740 (-4 *3 (-1068 (-1206)))) (-4 *3 (-910 *5))
+ (-4 *4 (-632 (-916 *5)))))
+ ((*1 *2 *3 *4)
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+ (-2740 (-4 *3 (-1068 (-1206)))) (-2740 (-4 *3 (-1079)))
+ (-4 *3 (-910 *5)) (-4 *4 (-632 (-916 *5))))))
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1013 *2)) (-4 *2 (-1232)))))
+(((*1 *1 *1 *1) (-12 (-5 *1 (-994 *2)) (-4 *2 (-1130)))))
(((*1 *2 *2 *3 *4)
(-12 (-5 *2 (-1297 *5)) (-5 *3 (-792)) (-5 *4 (-1150)) (-4 *5 (-361))
(-5 *1 (-541 *5)))))
+(((*1 *2 *1) (-12 (-5 *2 (-1206)) (-5 *1 (-843)))))
+(((*1 *2 *3 *4 *3)
+ (|partial| -12 (-5 *4 (-1206))
+ (-4 *5 (-13 (-569) (-1068 (-577)) (-148)))
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(-5 *3
- (-665
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+ (-4 *2 (-870)))))
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+ (-12 (-5 *3 (-115)) (-4 *4 (-1079)) (-5 *1 (-735 *4 *2))
+ (-4 *2 (-669 *4))))
+ ((*1 *2 *3 *2) (-12 (-5 *3 (-115)) (-5 *1 (-857 *2)) (-4 *2 (-1079)))))
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+ (-12 (-4 *3 (-1130)) (-5 *1 (-957 *3 *2)) (-4 *2 (-443 *3))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-1206)) (-5 *2 (-327 (-577))) (-5 *1 (-958)))))
+(((*1 *2 *1)
(-12
(-5 *2
(-665
(-2
- (|:| -4376
+ (|:| -4375
(-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
- (|:| -3433 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
+ (|:| -2051 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
(|:| |relerr| (-228))))
- (|:| -2727
+ (|:| -3988
(-2
(|:| |endPointContinuity|
(-3 (|:| |continuous| "Continuous at the end points")
@@ -13720,7 +13612,7 @@
(-3 (|:| |str| (-1187 (-228)))
(|:| |notEvaluated|
"Internal singularities not yet evaluated")))
- (|:| -3433
+ (|:| -2051
(-3 (|:| |finite| "The range is finite")
(|:| |lowerInfinite|
"The bottom of range is infinite")
@@ -13728,119 +13620,10 @@
(|:| |bothInfinite|
"Both top and bottom points are infinite")
(|:| |notEvaluated| "Range not yet evaluated"))))))))
- (-5 *1 (-572)))))
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1228)))))
-(((*1 *2 *3 *3)
- (-12 (-4 *4 (-13 (-318) (-148))) (-4 *5 (-814)) (-4 *6 (-870))
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- (-12 (-5 *4 (-112)) (-4 *5 (-13 (-318) (-148))) (-4 *6 (-814))
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- ((*1 *2 *3)
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- ((*1 *2 *3 *4)
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((*1 *2 *1) (-12 (-5 *2 (-519)) (-5 *1 (-899))))
@@ -14086,105 +13788,79 @@
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@@ -14197,102 +13873,209 @@
((*1 *2 *2 *3)
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@@ -14411,1064 +14254,285 @@
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(((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
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(-4 *2 (-13 (-443 *3) (-1032)))))
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1288 *3))
@@ -15476,37 +14540,54 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
+ ((*1 *1 *1)
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+ (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
+ ((*1 *1 *1) (-4 *1 (-506)))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1192 *3)))))
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+ (-5 *1 (-586 *3 *4))))
+ ((*1 *1 *1 *1)
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+ ((*1 *2 *3)
+ (-12 (-5 *3 (-949)) (-5 *2 (-1208 (-420 (-577)))) (-5 *1 (-192))))
+ ((*1 *1 *1) (-12 (-4 *1 (-695 *2)) (-4 *2 (-1247))))
+ ((*1 *1 *1) (-4 *1 (-892 *2)))
+ ((*1 *1 *1)
+ (-12 (-4 *1 (-1003 *2 *3 *4)) (-4 *2 (-1079)) (-4 *3 (-813))
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((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15522,28 +14603,73 @@
((*1 *2 *2)
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(-5 *1 (-1192 *3)))))
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-(((*1 *1 *1) (-4 *1 (-1174))))
-(((*1 *1) (-5 *1 (-844))))
+(((*1 *1 *1 *1) (-12 (-4 *1 (-1010 *2)) (-4 *2 (-1079))))
+ ((*1 *2 *2 *2) (-12 (-5 *2 (-971 (-228))) (-5 *1 (-1243))))
+ ((*1 *1 *1 *1)
+ (-12 (-4 *1 (-1295 *2)) (-4 *2 (-1247)) (-4 *2 (-1079)))))
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+ (-4 *2 (-870))))
+ ((*1 *1 *1 *1)
+ (-12 (-4 *1 (-1095 *2 *3 *4)) (-4 *2 (-1079)) (-4 *3 (-814))
+ (-4 *4 (-870)))))
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+ (-4 *3 (-379 *4))))
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+(((*1 *1 *2) (-12 (-5 *2 (-665 *1)) (-4 *1 (-313))))
+ ((*1 *1 *1) (-4 *1 (-313)))
+ ((*1 *1 *2) (-12 (-5 *2 (-665 (-885))) (-5 *1 (-885))))
+ ((*1 *1 *1) (-5 *1 (-885))))
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(((*1 *2 *1 *3)
- (-12 (-5 *3 (-665 *6)) (-4 *6 (-870)) (-4 *4 (-375)) (-4 *5 (-814))
+ (-12 (-5 *3 (-630 *1)) (-4 *1 (-443 *4)) (-4 *4 (-1130))
+ (-4 *4 (-569)) (-5 *2 (-420 (-1202 *1)))))
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+ (-4 *7 (-977 *6 *5 *4)) (-5 *2 (-420 (-1202 *3)))
+ (-5 *1 (-978 *5 *4 *6 *7 *3))
+ (-4 *3
+ (-13 (-375)
+ (-10 -8 (-15 -3630 ($ *7)) (-15 -2541 (*7 $)) (-15 -2553 (*7 $)))))))
+ ((*1 *2 *3 *4 *2)
+ (-12 (-5 *2 (-1202 *3))
+ (-4 *3
+ (-13 (-375)
+ (-10 -8 (-15 -3630 ($ *7)) (-15 -2541 (*7 $)) (-15 -2553 (*7 $)))))
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+ (-4 *6 (-1079)) (-5 *1 (-978 *5 *4 *6 *7 *3))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *4 (-1206)) (-4 *5 (-569))
+ (-5 *2 (-420 (-1202 (-420 (-980 *5))))) (-5 *1 (-1073 *5))
+ (-5 *3 (-420 (-980 *5))))))
+(((*1 *2 *1 *1)
+ (-12
(-5 *2
- (-2 (|:| |mval| (-710 *4)) (|:| |invmval| (-710 *4))
- (|:| |genIdeal| (-517 *4 *5 *6 *7))))
- (-5 *1 (-517 *4 *5 *6 *7)) (-4 *7 (-977 *4 *5 *6)))))
-(((*1 *2 *1) (-12 (-4 *1 (-695 *3)) (-4 *3 (-1247)) (-5 *2 (-112)))))
-(((*1 *2 *3 *2 *4)
- (-12 (-5 *3 (-665 *6)) (-5 *4 (-665 (-254 *5 *6))) (-4 *6 (-465))
- (-5 *2 (-254 *5 *6)) (-14 *5 (-665 (-1206))) (-5 *1 (-649 *5 *6)))))
-(((*1 *1 *1) (-4 *1 (-35)))
+ (-2 (|:| |polnum| (-803 *3)) (|:| |polden| *3) (|:| -2949 (-792))))
+ (-5 *1 (-803 *3)) (-4 *3 (-1079))))
+ ((*1 *2 *1 *1)
+ (-12 (-4 *3 (-1079)) (-4 *4 (-814)) (-4 *5 (-870))
+ (-5 *2 (-2 (|:| |polnum| *1) (|:| |polden| *1) (|:| -2949 (-792))))
+ (-4 *1 (-1095 *3 *4 *5)))))
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((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15559,38 +14685,32 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1192 *3)))))
-(((*1 *2 *1) (-12 (-5 *2 (-665 (-1206))) (-5 *1 (-1210)))))
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- (-12 (-5 *3 (-1 (-391) (-391))) (-5 *4 (-391))
- (-5 *2
- (-2 (|:| -3254 *4) (|:| -3405 *4) (|:| |totalpts| (-577))
- (|:| |success| (-112))))
- (-5 *1 (-810)) (-5 *5 (-577)))))
-(((*1 *2 *3 *4 *5 *5 *4 *6)
- (-12 (-5 *4 (-577)) (-5 *6 (-1 (-1302) (-1297 *5) (-1297 *5) (-391)))
- (-5 *3 (-1297 (-391))) (-5 *5 (-391)) (-5 *2 (-1302))
- (-5 *1 (-809)))))
-(((*1 *2 *3 *3 *3 *4 *3)
- (-12 (-5 *3 (-577)) (-5 *4 (-710 (-171 (-228)))) (-5 *2 (-1065))
- (-5 *1 (-775)))))
-(((*1 *2 *1 *3) (-12 (-5 *3 (-1188)) (-5 *2 (-1302)) (-5 *1 (-843)))))
-(((*1 *1) (-5 *1 (-622))))
-(((*1 *2 *3 *3)
- (-12 (-5 *3 (-665 *7)) (-4 *7 (-1095 *4 *5 *6)) (-4 *4 (-465))
- (-4 *5 (-814)) (-4 *6 (-870)) (-5 *2 (-112))
- (-5 *1 (-1018 *4 *5 *6 *7 *8)) (-4 *8 (-1101 *4 *5 *6 *7))))
+(((*1 *2 *3 *4 *4 *4 *3)
+ (-12 (-5 *3 (-577)) (-5 *4 (-710 (-228))) (-5 *2 (-1065))
+ (-5 *1 (-772)))))
+(((*1 *2 *1)
+ (-12 (-4 *1 (-1068 (-577))) (-4 *1 (-313)) (-5 *2 (-112))))
+ ((*1 *2 *1) (-12 (-4 *1 (-558)) (-5 *2 (-112))))
+ ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-933 *3)) (-4 *3 (-1130)))))
+(((*1 *2 *3 *4 *3)
+ (-12 (-5 *3 (-577)) (-5 *4 (-710 (-228))) (-5 *2 (-1065))
+ (-5 *1 (-768)))))
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+ (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1247)) (-5 *1 (-387 *4 *2))
+ (-4 *2 (-13 (-385 *4) (-10 -7 (-6 -4500)))))))
+(((*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-792)) (-5 *2 (-112))))
((*1 *2 *3 *3)
- (-12 (-5 *3 (-665 *7)) (-4 *7 (-1095 *4 *5 *6)) (-4 *4 (-465))
- (-4 *5 (-814)) (-4 *6 (-870)) (-5 *2 (-112))
- (-5 *1 (-1137 *4 *5 *6 *7 *8)) (-4 *8 (-1101 *4 *5 *6 *7)))))
-(((*1 *1 *2) (-12 (-5 *2 (-1188)) (-5 *1 (-590))))
- ((*1 *1 *2) (-12 (-5 *2 (-401)) (-5 *1 (-590)))))
+ (-12 (-5 *2 (-112)) (-5 *1 (-1248 *3)) (-4 *3 (-870))
+ (-4 *3 (-1130)))))
+(((*1 *1 *2 *3)
+ (-12 (-5 *2 (-665 *3)) (-4 *3 (-977 *4 *6 *5)) (-4 *4 (-465))
+ (-4 *5 (-870)) (-4 *6 (-814)) (-5 *1 (-1017 *4 *5 *6 *3)))))
+(((*1 *1 *1) (-5 *1 (-1093))))
(((*1 *2 *1)
- (-12 (-4 *4 (-1130)) (-5 *2 (-913 *3 *5)) (-5 *1 (-909 *3 *4 *5))
- (-4 *3 (-1130)) (-4 *5 (-687 *4)))))
-(((*1 *1) (-5 *1 (-450))))
-(((*1 *1) (-5 *1 (-450))))
-(((*1 *1 *1) (-4 *1 (-35)))
+ (-12 (-5 *2 (-420 (-980 *3))) (-5 *1 (-466 *3 *4 *5 *6))
+ (-4 *3 (-569)) (-4 *3 (-174)) (-14 *4 (-949))
+ (-14 *5 (-665 (-1206))) (-14 *6 (-1297 (-710 *3))))))
+(((*1 *1 *1) (-4 *1 (-95)))
((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15606,39 +14726,67 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1192 *3)))))
-(((*1 *1 *1 *1 *1) (-4 *1 (-558))))
-(((*1 *2 *3)
- (-12 (-4 *4 (-1273 (-420 *2))) (-5 *2 (-577)) (-5 *1 (-941 *4 *3))
- (-4 *3 (-1273 (-420 *4))))))
-(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5 *4 *6 *7)
- (-12 (-5 *3 (-228)) (-5 *4 (-577)) (-5 *5 (-1188))
- (-5 *6 (-3 (|:| |fn| (-401)) (|:| |fp| (-82 PDEF))))
- (-5 *7 (-3 (|:| |fn| (-401)) (|:| |fp| (-83 BNDY)))) (-5 *2 (-1065))
- (-5 *1 (-771)))))
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-290)))))
-(((*1 *1) (-5 *1 (-622))))
-(((*1 *2 *2) (-12 (-5 *2 (-1150)) (-5 *1 (-341)))))
-(((*1 *1 *2 *3 *4)
- (-12 (-14 *5 (-665 (-1206))) (-4 *2 (-174))
- (-4 *4 (-244 (-3600 *5) (-792)))
- (-14 *6
- (-1 (-112) (-2 (|:| -3354 *3) (|:| -2328 *4))
- (-2 (|:| -3354 *3) (|:| -2328 *4))))
- (-5 *1 (-474 *5 *2 *3 *4 *6 *7)) (-4 *3 (-870))
- (-4 *7 (-977 *2 *4 (-887 *5))))))
-(((*1 *2 *2 *3)
- (-12 (-4 *3 (-375)) (-5 *1 (-296 *3 *2)) (-4 *2 (-1288 *3)))))
-(((*1 *2 *2 *2)
- (-12 (-4 *3 (-1079)) (-5 *1 (-1269 *3 *2)) (-4 *2 (-1273 *3)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-1206)) (-5 *4 (-980 (-577))) (-5 *2 (-341))
+ (-5 *1 (-343)))))
+(((*1 *2 *2)
+ (-12 (-4 *3 (-465)) (-5 *1 (-1238 *3 *2))
+ (-4 *2 (-13 (-443 *3) (-1232))))))
(((*1 *2 *3)
- (-12 (-5 *3 (-710 (-327 (-228))))
- (-5 *2
- (-2 (|:| |stiffnessFactor| (-391)) (|:| |stabilityFactor| (-391))))
- (-5 *1 (-207)))))
-(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *4 *4 *3 *3 *3)
- (-12 (-5 *3 (-577)) (-5 *4 (-710 (-228))) (-5 *2 (-1065))
- (-5 *1 (-773)))))
-(((*1 *1 *1) (-4 *1 (-35)))
+ (-12 (-5 *3 (-949)) (-5 *2 (-1297 (-1297 (-577)))) (-5 *1 (-479)))))
+(((*1 *2)
+ (-12 (-4 *3 (-13 (-569) (-1068 (-577)))) (-5 *2 (-1302))
+ (-5 *1 (-446 *3 *4)) (-4 *4 (-443 *3)))))
+(((*1 *2 *3 *3 *3 *3 *4 *5 *6 *6 *7 *7 *3)
+ (-12 (-5 *4 (-665 (-112))) (-5 *5 (-710 (-228)))
+ (-5 *6 (-710 (-577))) (-5 *7 (-228)) (-5 *3 (-577)) (-5 *2 (-1065))
+ (-5 *1 (-775)))))
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+ (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1247)) (-5 *1 (-387 *4 *2))
+ (-4 *2 (-13 (-385 *4) (-10 -7 (-6 -4500)))))))
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+ ((*1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-885))))
+ ((*1 *2 *1) (-12 (-5 *2 (-577)) (-5 *1 (-885)))))
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+ (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-32 *3 *4))
+ (-4 *4 (-443 *3))))
+ ((*1 *1 *2 *3) (-12 (-5 *2 (-1206)) (-5 *3 (-55)) (-5 *1 (-115))))
+ ((*1 *1 *2 *3) (-12 (-5 *2 (-1206)) (-5 *3 (-792)) (-5 *1 (-115))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1206)) (-5 *1 (-115))))
+ ((*1 *2 *2)
+ (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-159 *3 *4))
+ (-4 *4 (-443 *3))))
+ ((*1 *2 *3) (-12 (-5 *3 (-1206)) (-5 *2 (-115)) (-5 *1 (-164))))
+ ((*1 *2 *2)
+ (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-286 *3 *4))
+ (-4 *4 (-13 (-443 *3) (-1032)))))
+ ((*1 *2 *2) (-12 (-5 *2 (-115)) (-5 *1 (-312 *3)) (-4 *3 (-313))))
+ ((*1 *2 *2) (-12 (-4 *1 (-313)) (-5 *2 (-115))))
+ ((*1 *2 *2)
+ (-12 (-5 *2 (-115)) (-4 *4 (-1130)) (-5 *1 (-442 *3 *4))
+ (-4 *3 (-443 *4))))
+ ((*1 *2 *2)
+ (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-444 *3 *4))
+ (-4 *4 (-443 *3))))
+ ((*1 *2 *1) (-12 (-5 *2 (-115)) (-5 *1 (-630 *3)) (-4 *3 (-1130))))
+ ((*1 *2 *2)
+ (-12 (-5 *2 (-115)) (-4 *3 (-569)) (-5 *1 (-648 *3 *4))
+ (-4 *4 (-13 (-443 *3) (-1032) (-1232)))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-1049))))
+ ((*1 *1 *2 *3) (-12 (-5 *3 (-55)) (-5 *1 (-1220 *2)) (-4 *2 (-1130)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-1 *2 *2)) (-4 *2 (-1288 *4)) (-5 *1 (-1290 *4 *2))
+ (-4 *4 (-38 (-420 (-577)))))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-1 *5 *4)) (-4 *4 (-1130)) (-4 *5 (-1130))
+ (-5 *2 (-1 *5)) (-5 *1 (-704 *4 *5)))))
+(((*1 *1 *1 *2 *3)
+ (-12 (-5 *2 (-792)) (-5 *3 (-971 *4)) (-4 *1 (-1164 *4))
+ (-4 *4 (-1079))))
+ ((*1 *2 *1 *3 *4)
+ (-12 (-5 *3 (-792)) (-5 *4 (-971 (-228))) (-5 *2 (-1302))
+ (-5 *1 (-1299)))))
+(((*1 *1 *1) (-4 *1 (-95))) ((*1 *1 *1 *1) (-5 *1 (-228)))
((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15648,61 +14796,32 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
+ ((*1 *1 *1)
+ (-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
+ (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
+ ((*1 *1 *1 *1) (-5 *1 (-391)))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1192 *3)))))
-(((*1 *2 *2 *2) (-12 (-5 *2 (-1065)) (-5 *1 (-316))))
- ((*1 *2 *3)
- (-12 (-5 *3 (-665 (-1065))) (-5 *2 (-1065)) (-5 *1 (-316))))
- ((*1 *1 *2) (-12 (-5 *2 (-665 *1)) (-4 *1 (-672 *3)) (-4 *3 (-1247))))
- ((*1 *1 *1 *1) (-12 (-4 *1 (-672 *2)) (-4 *2 (-1247))))
- ((*1 *1 *2 *1) (-12 (-4 *1 (-672 *2)) (-4 *2 (-1247))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-672 *2)) (-4 *2 (-1247))))
- ((*1 *1 *1 *1) (-5 *1 (-1093)))
- ((*1 *2 *3)
- (-12 (-5 *3 (-1187 (-1187 *4))) (-5 *2 (-1187 *4)) (-5 *1 (-1184 *4))
- (-4 *4 (-1247))))
- ((*1 *1 *2 *1) (-12 (-4 *1 (-1285 *2)) (-4 *2 (-1247))))
- ((*1 *1 *1 *1) (-12 (-4 *1 (-1285 *2)) (-4 *2 (-1247)))))
-(((*1 *2 *1) (-12 (-5 *2 (-1302)) (-5 *1 (-843)))))
-(((*1 *2 *1)
- (-12 (-5 *2 (-112)) (-5 *1 (-1194 *3 *4)) (-14 *3 (-949))
- (-4 *4 (-1079)))))
-(((*1 *1 *2 *3)
- (-12
- (-5 *3
- (-665
- (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2)
- (|:| |xpnt| (-577)))))
- (-4 *2 (-569)) (-5 *1 (-431 *2))))
- ((*1 *2 *3)
- (-12
- (-5 *3
- (-2 (|:| |contp| (-577))
- (|:| -2127 (-665 (-2 (|:| |irr| *4) (|:| -2243 (-577)))))))
- (-4 *4 (-1273 (-577))) (-5 *2 (-431 *4)) (-5 *1 (-455 *4)))))
-(((*1 *2 *1 *3)
- (-12 (-4 *1 (-261 *4 *3 *5 *6)) (-4 *4 (-1079)) (-4 *3 (-870))
- (-4 *5 (-276 *3)) (-4 *6 (-814)) (-5 *2 (-665 (-792)))))
- ((*1 *2 *1)
- (-12 (-4 *1 (-261 *3 *4 *5 *6)) (-4 *3 (-1079)) (-4 *4 (-870))
- (-4 *5 (-276 *4)) (-4 *6 (-814)) (-5 *2 (-665 (-792))))))
-(((*1 *1 *1)
- (-12 (|has| *1 (-6 -4500)) (-4 *1 (-1285 *2)) (-4 *2 (-1247)))))
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1264 *3)) (-4 *3 (-1247)))))
-(((*1 *2 *2 *1) (|partial| -12 (-5 *2 (-665 *1)) (-4 *1 (-318)))))
-(((*1 *2 *3 *3 *2 *4)
- (-12 (-5 *3 (-710 *2)) (-5 *4 (-577))
- (-4 *2 (-13 (-318) (-10 -8 (-15 -3206 ((-431 $) $)))))
- (-4 *5 (-1273 *2)) (-5 *1 (-512 *2 *5 *6)) (-4 *6 (-422 *2 *5)))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-1124 (-864 (-391)))) (-5 *2 (-1124 (-864 (-228))))
+ (-5 *1 (-316)))))
+(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-480))))
+ ((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-480)))))
+(((*1 *1 *2 *3 *4)
+ (-12 (-5 *2 (-598)) (-5 *3 (-610)) (-5 *4 (-302)) (-5 *1 (-291)))))
(((*1 *2)
- (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-378 *3 *4))
- (-4 *3 (-379 *4))))
- ((*1 *2) (-12 (-4 *1 (-379 *3)) (-4 *3 (-174)) (-5 *2 (-112)))))
-(((*1 *2 *2)
+ (-12 (-5 *2 (-420 (-980 *3))) (-5 *1 (-466 *3 *4 *5 *6))
+ (-4 *3 (-569)) (-4 *3 (-174)) (-14 *4 (-949))
+ (-14 *5 (-665 (-1206))) (-14 *6 (-1297 (-710 *3))))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-327 (-228))) (-5 *2 (-420 (-577))) (-5 *1 (-316)))))
+(((*1 *2 *1) (-12 (-5 *2 (-665 (-630 *1))) (-4 *1 (-313)))))
+(((*1 *1 *1) (-4 *1 (-95)))
+ ((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
((*1 *2 *2)
@@ -15711,42 +14830,56 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
- ((*1 *1 *1) (-4 *1 (-506)))
+ ((*1 *1 *1)
+ (-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
+ (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1192 *3)))))
-(((*1 *2 *3 *2)
- (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1247)) (-5 *1 (-387 *4 *2))
- (-4 *2 (-13 (-385 *4) (-10 -7 (-6 -4500)))))))
-(((*1 *2)
- (-12 (-4 *3 (-13 (-569) (-1068 (-577)))) (-5 *2 (-1302))
- (-5 *1 (-446 *3 *4)) (-4 *4 (-443 *3)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-1124 (-864 (-391)))) (-5 *2 (-1124 (-864 (-228))))
- (-5 *1 (-316)))))
+(((*1 *1 *2) (-12 (-5 *1 (-230 *2)) (-4 *2 (-13 (-375) (-1232))))))
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1013 *2)) (-4 *2 (-1232)))))
+(((*1 *2 *3 *3 *3 *4 *3)
+ (-12 (-5 *3 (-577)) (-5 *4 (-710 (-228))) (-5 *2 (-1065))
+ (-5 *1 (-775)))))
(((*1 *2 *3 *4)
(-12 (-5 *3 (-665 (-864 (-228)))) (-5 *4 (-228)) (-5 *2 (-665 *4))
(-5 *1 (-277)))))
-(((*1 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174)))))
+(((*1 *2 *3 *2 *4)
+ (|partial| -12 (-5 *3 (-665 (-630 *2))) (-5 *4 (-1206))
+ (-4 *2 (-13 (-27) (-1232) (-443 *5)))
+ (-4 *5 (-13 (-569) (-1068 (-577)) (-659 (-577))))
+ (-5 *1 (-287 *5 *2)))))
+(((*1 *2 *2)
+ (-12 (-5 *2 (-971 *3)) (-4 *3 (-13 (-375) (-1232) (-1032)))
+ (-5 *1 (-178 *3)))))
+(((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-138))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1246)) (-5 *1 (-157))))
+ ((*1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-1247))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-491))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-605))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-644))))
+ ((*1 *2 *1)
+ (-12 (-4 *3 (-1130))
+ (-4 *2 (-13 (-443 *4) (-910 *3) (-632 (-916 *3))))
+ (-5 *1 (-1106 *3 *4 *2))
+ (-4 *4 (-13 (-1079) (-910 *3) (-632 (-916 *3))))))
+ ((*1 *2 *1)
+ (-12 (-4 *2 (-1130)) (-5 *1 (-1195 *3 *2)) (-4 *3 (-1130)))))
+(((*1 *2)
+ (-12 (-5 *2 (-112)) (-5 *1 (-1224 *3 *4)) (-4 *3 (-1130))
+ (-4 *4 (-1130)))))
(((*1 *2 *3 *4)
- (-12 (-5 *3 (-710 *8)) (-5 *4 (-792)) (-4 *8 (-977 *5 *7 *6))
- (-4 *5 (-13 (-318) (-148))) (-4 *6 (-13 (-870) (-632 (-1206))))
- (-4 *7 (-814))
+ (-12 (-5 *3 (-710 (-420 (-577))))
(-5 *2
(-665
- (-2 (|:| |det| *8) (|:| |rows| (-665 (-577)))
- (|:| |cols| (-665 (-577))))))
- (-5 *1 (-952 *5 *6 *7 *8)))))
-(((*1 *1) (-5 *1 (-610))))
-(((*1 *1 *1)
- (-12 (-5 *1 (-608 *2)) (-4 *2 (-38 (-420 (-577)))) (-4 *2 (-1079)))))
-(((*1 *2 *1)
- (-12 (-4 *1 (-1006 *3 *4 *5 *6)) (-4 *3 (-1079)) (-4 *4 (-814))
- (-4 *5 (-870)) (-4 *6 (-1095 *3 *4 *5)) (-5 *2 (-665 *5)))))
-(((*1 *2 *2)
+ (-2 (|:| |outval| *4) (|:| |outmult| (-577))
+ (|:| |outvect| (-665 (-710 *4))))))
+ (-5 *1 (-800 *4)) (-4 *4 (-13 (-375) (-869))))))
+(((*1 *1 *1) (-4 *1 (-95)))
+ ((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
((*1 *2 *2)
@@ -15755,54 +14888,106 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
- ((*1 *1 *1) (-4 *1 (-506)))
+ ((*1 *1 *1)
+ (-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
+ (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1192 *3)))))
-(((*1 *2 *2 *3)
- (-12
- (-5 *2
- (-2 (|:| |partsol| (-1297 (-420 (-980 *4))))
- (|:| -2104 (-665 (-1297 (-420 (-980 *4)))))))
- (-5 *3 (-665 *7)) (-4 *4 (-13 (-318) (-148)))
- (-4 *7 (-977 *4 *6 *5)) (-4 *5 (-13 (-870) (-632 (-1206))))
- (-4 *6 (-814)) (-5 *1 (-952 *4 *5 *6 *7)))))
-(((*1 *1) (-12 (-5 *1 (-712 *2)) (-4 *2 (-631 (-885))))))
-(((*1 *1 *1)
- (-12 (-5 *1 (-608 *2)) (-4 *2 (-38 (-420 (-577)))) (-4 *2 (-1079)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *3 (-1 *7 *5)) (-4 *5 (-1079)) (-4 *7 (-1079))
- (-4 *6 (-1273 *5)) (-5 *2 (-1202 (-1202 *7)))
- (-5 *1 (-514 *5 *6 *4 *7)) (-4 *4 (-1273 *6)))))
-(((*1 *2 *3 *4 *5 *5)
- (-12 (-5 *3 (-3 (-420 (-980 *6)) (-1195 (-1206) (-980 *6))))
- (-5 *5 (-792)) (-4 *6 (-465)) (-5 *2 (-665 (-710 (-420 (-980 *6)))))
- (-5 *1 (-303 *6)) (-5 *4 (-710 (-420 (-980 *6))))))
- ((*1 *2 *3 *4)
- (-12
- (-5 *3
- (-2 (|:| |eigval| (-3 (-420 (-980 *5)) (-1195 (-1206) (-980 *5))))
- (|:| |eigmult| (-792)) (|:| |eigvec| (-665 *4))))
- (-4 *5 (-465)) (-5 *2 (-665 (-710 (-420 (-980 *5)))))
- (-5 *1 (-303 *5)) (-5 *4 (-710 (-420 (-980 *5)))))))
+(((*1 *1 *2)
+ (-12 (-4 *3 (-1079)) (-5 *1 (-848 *2 *3)) (-4 *2 (-729 *3)))))
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-845)))))
+(((*1 *2 *3 *4 *3 *5 *5 *3 *5 *4)
+ (-12 (-5 *4 (-710 (-228))) (-5 *5 (-710 (-577))) (-5 *3 (-577))
+ (-5 *2 (-1065)) (-5 *1 (-777)))))
+(((*1 *2 *1) (-12 (-5 *2 (-986 (-185 (-140)))) (-5 *1 (-344))))
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+ ((*1 *2 *3)
+ (-12 (-5 *3 (-665 (-1188))) (-5 *2 (-577)) (-5 *1 (-247)))))
+(((*1 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174)))))
(((*1 *2 *3)
- (|partial| -12 (-5 *3 (-710 *1)) (-4 *1 (-361)) (-5 *2 (-1297 *1))))
+ (-12 (-5 *3 (-1187 (-1187 *4))) (-5 *2 (-1187 *4)) (-5 *1 (-1190 *4))
+ (-4 *4 (-38 (-420 (-577)))) (-4 *4 (-1079)))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-665 (-2 (|:| -1957 (-1202 *6)) (|:| -2099 (-577)))))
+ (-4 *6 (-318)) (-4 *4 (-814)) (-4 *5 (-870)) (-5 *2 (-577))
+ (-5 *1 (-763 *4 *5 *6 *7)) (-4 *7 (-977 *6 *4 *5)))))
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+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-157))))
+ ((*1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-1247))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-491))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-605))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-644))))
+ ((*1 *2 *1)
+ (-12 (-4 *3 (-1130))
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+ (-5 *1 (-1106 *3 *4 *2))
+ (-4 *4 (-13 (-1079) (-910 *3) (-632 (-916 *3))))))
+ ((*1 *2 *1)
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+ (-12 (-5 *2 (-171 (-391))) (-5 *1 (-806 *3)) (-4 *3 (-632 (-391)))))
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+ (-12 (-5 *4 (-949)) (-5 *2 (-171 (-391))) (-5 *1 (-806 *3))
+ (-4 *3 (-632 (-391)))))
((*1 *2 *3)
- (|partial| -12 (-5 *3 (-710 *1)) (-4 *1 (-146)) (-4 *1 (-937))
- (-5 *2 (-1297 *1)))))
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- (-12 (-5 *2 (-519)) (-5 *3 (-665 (-899))) (-5 *1 (-496)))))
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- (-12 (-5 *2 (-712 (-896 (-994 *3) (-994 *3)))) (-5 *1 (-994 *3))
- (-4 *3 (-1130)))))
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+ (-12 (-5 *3 (-980 *5)) (-5 *4 (-949)) (-4 *5 (-1079))
+ (-4 *5 (-632 (-391))) (-5 *2 (-171 (-391))) (-5 *1 (-806 *5))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-420 (-980 *4))) (-4 *4 (-569)) (-4 *4 (-632 (-391)))
+ (-5 *2 (-171 (-391))) (-5 *1 (-806 *4))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *3 (-420 (-980 *5))) (-5 *4 (-949)) (-4 *5 (-569))
+ (-4 *5 (-632 (-391))) (-5 *2 (-171 (-391))) (-5 *1 (-806 *5))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-420 (-980 (-171 *4)))) (-4 *4 (-569))
+ (-4 *4 (-632 (-391))) (-5 *2 (-171 (-391))) (-5 *1 (-806 *4))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *3 (-420 (-980 (-171 *5)))) (-5 *4 (-949)) (-4 *5 (-569))
+ (-4 *5 (-632 (-391))) (-5 *2 (-171 (-391))) (-5 *1 (-806 *5))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-327 *4)) (-4 *4 (-569)) (-4 *4 (-870))
+ (-4 *4 (-632 (-391))) (-5 *2 (-171 (-391))) (-5 *1 (-806 *4))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *3 (-327 *5)) (-5 *4 (-949)) (-4 *5 (-569)) (-4 *5 (-870))
+ (-4 *5 (-632 (-391))) (-5 *2 (-171 (-391))) (-5 *1 (-806 *5))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-327 (-171 *4))) (-4 *4 (-569)) (-4 *4 (-870))
+ (-4 *4 (-632 (-391))) (-5 *2 (-171 (-391))) (-5 *1 (-806 *4))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *3 (-327 (-171 *5))) (-5 *4 (-949)) (-4 *5 (-569))
+ (-4 *5 (-870)) (-4 *5 (-632 (-391))) (-5 *2 (-171 (-391)))
+ (-5 *1 (-806 *5)))))
+(((*1 *1 *2 *2) (-12 (-4 *1 (-567 *2)) (-4 *2 (-13 (-417) (-1232))))))
+(((*1 *2 *2)
+ (-12 (-4 *3 (-13 (-569) (-1068 (-577)) (-659 (-577))))
+ (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-27) (-1232) (-443 *3)))))
+ ((*1 *2 *2 *3)
+ (-12 (-5 *3 (-1206))
+ (-4 *4 (-13 (-569) (-1068 (-577)) (-659 (-577))))
+ (-5 *1 (-287 *4 *2)) (-4 *2 (-13 (-27) (-1232) (-443 *4))))))
+(((*1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-480))))
+ ((*1 *2 *2) (-12 (-5 *2 (-577)) (-5 *1 (-480))))
+ ((*1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-955)))))
(((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15812,46 +14997,43 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
- ((*1 *1 *1) (-4 *1 (-506)))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
- (-5 *1 (-1192 *3)))))
-(((*1 *2) (-12 (-5 *2 (-1206)) (-5 *1 (-1209)))))
-(((*1 *1 *2 *3) (-12 (-5 *2 (-1188)) (-5 *3 (-844)) (-5 *1 (-843)))))
-(((*1 *1 *1 *1) (-12 (-4 *1 (-1273 *2)) (-4 *2 (-1079)))))
-(((*1 *2 *3 *4 *4 *2 *2 *2)
- (-12 (-5 *2 (-577))
- (-5 *3
- (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-792)) (|:| |poli| *4)
- (|:| |polj| *4)))
- (-4 *6 (-814)) (-4 *4 (-977 *5 *6 *7)) (-4 *5 (-465)) (-4 *7 (-870))
- (-5 *1 (-462 *5 *6 *7 *4)))))
-(((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-980 (-420 (-577)))) (-5 *4 (-1206))
- (-5 *5 (-1124 (-864 (-228)))) (-5 *2 (-665 (-228))) (-5 *1 (-311)))))
-(((*1 *2 *3 *4 *4 *3 *5)
- (-12 (-5 *4 (-630 *3)) (-5 *5 (-1202 *3))
- (-4 *3 (-13 (-443 *6) (-27) (-1232)))
- (-4 *6 (-13 (-465) (-1068 (-577)) (-148) (-659 (-577))))
- (-5 *2 (-599 *3)) (-5 *1 (-573 *6 *3 *7)) (-4 *7 (-1130))))
- ((*1 *2 *3 *4 *4 *4 *3 *5)
- (-12 (-5 *4 (-630 *3)) (-5 *5 (-420 (-1202 *3)))
- (-4 *3 (-13 (-443 *6) (-27) (-1232)))
- (-4 *6 (-13 (-465) (-1068 (-577)) (-148) (-659 (-577))))
- (-5 *2 (-599 *3)) (-5 *1 (-573 *6 *3 *7)) (-4 *7 (-1130)))))
-(((*1 *2 *2 *3 *3)
- (-12 (-5 *2 (-665 *7)) (-5 *3 (-577)) (-4 *7 (-977 *4 *5 *6))
- (-4 *4 (-465)) (-4 *5 (-814)) (-4 *6 (-870))
- (-5 *1 (-462 *4 *5 *6 *7)))))
-(((*1 *2 *3 *3 *4)
- (-12 (-5 *3 (-228)) (-5 *4 (-577)) (-5 *2 (-1065)) (-5 *1 (-779)))))
-(((*1 *2 *1) (-12 (-5 *2 (-1165)) (-5 *1 (-1181)))))
-(((*1 *2 *3 *2) (-12 (-5 *3 (-792)) (-5 *1 (-879 *2)) (-4 *2 (-174))))
- ((*1 *2 *3 *3 *2)
- (-12 (-5 *3 (-792)) (-5 *1 (-879 *2)) (-4 *2 (-174)))))
+ (-5 *1 (-1192 *3))))
+ ((*1 *1 *1) (-4 *1 (-1235))))
+(((*1 *1 *1 *2 *3)
+ (-12 (-5 *2 (-665 (-792))) (-5 *3 (-112)) (-5 *1 (-1194 *4 *5))
+ (-14 *4 (-949)) (-4 *5 (-1079)))))
+(((*1 *2 *3 *3 *4 *5 *5)
+ (-12 (-5 *5 (-112)) (-4 *6 (-465)) (-4 *7 (-814)) (-4 *8 (-870))
+ (-4 *3 (-1095 *6 *7 *8))
+ (-5 *2 (-665 (-2 (|:| |val| *3) (|:| -1829 *4))))
+ (-5 *1 (-1138 *6 *7 *8 *3 *4)) (-4 *4 (-1101 *6 *7 *8 *3))))
+ ((*1 *2 *3 *4 *5)
+ (-12 (-5 *3 (-665 (-2 (|:| |val| (-665 *8)) (|:| -1829 *9))))
+ (-5 *5 (-112)) (-4 *8 (-1095 *6 *7 *4)) (-4 *9 (-1101 *6 *7 *4 *8))
+ (-4 *6 (-465)) (-4 *7 (-814)) (-4 *4 (-870))
+ (-5 *2 (-665 (-2 (|:| |val| *8) (|:| -1829 *9))))
+ (-5 *1 (-1138 *6 *7 *4 *8 *9)))))
+(((*1 *2 *1) (-12 (-5 *2 (-188)) (-5 *1 (-139))))
+ ((*1 *2 *1) (-12 (-4 *1 (-187)) (-5 *2 (-188)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-710 *8)) (-5 *4 (-792)) (-4 *8 (-977 *5 *7 *6))
+ (-4 *5 (-13 (-318) (-148))) (-4 *6 (-13 (-870) (-632 (-1206))))
+ (-4 *7 (-814))
+ (-5 *2
+ (-665
+ (-2 (|:| |det| *8) (|:| |rows| (-665 (-577)))
+ (|:| |cols| (-665 (-577))))))
+ (-5 *1 (-952 *5 *6 *7 *8)))))
+(((*1 *2) (-12 (-5 *2 (-665 (-792))) (-5 *1 (-1300))))
+ ((*1 *2 *2) (-12 (-5 *2 (-665 (-792))) (-5 *1 (-1300)))))
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1013 *2)) (-4 *2 (-1232)))))
+(((*1 *2 *1) (-12 (-4 *1 (-417)) (-5 *2 (-577))))
+ ((*1 *2 *1) (-12 (-5 *2 (-577)) (-5 *1 (-720)))))
(((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15861,45 +15043,31 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
- ((*1 *1 *1)
- (-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
- (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
- ((*1 *1 *1) (-4 *1 (-506)))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
- (-5 *1 (-1192 *3)))))
-(((*1 *1 *1) (-12 (-4 *1 (-1285 *2)) (-4 *2 (-1247)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-665 (-665 (-971 (-228)))))
- (-5 *2 (-665 (-1124 (-228)))) (-5 *1 (-956)))))
-(((*1 *1) (-5 *1 (-450))))
-(((*1 *2 *3 *2)
- (-12 (-5 *2 (-897)) (-5 *3 (-665 (-271))) (-5 *1 (-269)))))
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-609 *3)) (-4 *3 (-1079))))
- ((*1 *2 *1)
- (-12 (-4 *1 (-1003 *3 *4 *5)) (-4 *3 (-1079)) (-4 *4 (-813))
+ (-5 *1 (-1192 *3))))
+ ((*1 *1 *1) (-4 *1 (-1235))))
+(((*1 *1 *1)
+ (-12 (-4 *2 (-318)) (-4 *3 (-1022 *2)) (-4 *4 (-1273 *3))
+ (-5 *1 (-426 *2 *3 *4 *5)) (-4 *5 (-13 (-422 *3 *4) (-1068 *3))))))
+(((*1 *2 *3 *3)
+ (-12 (-4 *4 (-569)) (-5 *2 (-986 *3)) (-5 *1 (-1193 *4 *3))
+ (-4 *3 (-1273 *4)))))
+(((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-112) (-115) (-115))) (-5 *1 (-115)))))
+(((*1 *1) (-5 *1 (-610))))
+(((*1 *2 *1)
+ (-12 (-4 *1 (-1095 *3 *4 *5)) (-4 *3 (-1079)) (-4 *4 (-814))
(-4 *5 (-870)) (-5 *2 (-112)))))
-(((*1 *1) (-5 *1 (-622))))
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1242 *3)) (-4 *3 (-1004)))))
-(((*1 *2 *3)
- (-12 (-4 *4 (-465))
- (-5 *2
- (-665
- (-2 (|:| |eigval| (-3 (-420 (-980 *4)) (-1195 (-1206) (-980 *4))))
- (|:| |eigmult| (-792))
- (|:| |eigvec| (-665 (-710 (-420 (-980 *4))))))))
- (-5 *1 (-303 *4)) (-5 *3 (-710 (-420 (-980 *4)))))))
(((*1 *2 *1) (-12 (-5 *2 (-1302)) (-5 *1 (-843)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *3 (-1202 (-980 *6))) (-4 *6 (-569))
- (-4 *2 (-977 (-420 (-980 *6)) *5 *4)) (-5 *1 (-753 *5 *4 *6 *2))
- (-4 *5 (-814))
- (-4 *4 (-13 (-870) (-10 -8 (-15 -4463 ((-1206) $))))))))
-(((*1 *2 *1)
- (-12 (-5 *2 (-1132 (-1132 *3))) (-5 *1 (-932 *3)) (-4 *3 (-1130)))))
+(((*1 *2)
+ (-12 (-5 *2 (-1302)) (-5 *1 (-1224 *3 *4)) (-4 *3 (-1130))
+ (-4 *4 (-1130)))))
+(((*1 *1 *2 *3 *1)
+ (-12 (-5 *2 (-916 *4)) (-4 *4 (-1130)) (-5 *1 (-913 *4 *3))
+ (-4 *3 (-1130)))))
(((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15909,69 +15077,56 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
- ((*1 *1 *1)
- (-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
- (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
- ((*1 *1 *1) (-4 *1 (-506)))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
- (-5 *1 (-1192 *3)))))
-(((*1 *1 *1) (-5 *1 (-1093))))
+ (-5 *1 (-1192 *3))))
+ ((*1 *1 *1) (-4 *1 (-1235))))
+(((*1 *1 *2 *3 *3 *3 *4)
+ (-12 (-4 *4 (-375)) (-4 *3 (-1273 *4)) (-4 *5 (-1273 (-420 *3)))
+ (-4 *1 (-347 *4 *3 *5 *2)) (-4 *2 (-354 *4 *3 *5))))
+ ((*1 *1 *2 *2 *3)
+ (-12 (-5 *3 (-577)) (-4 *2 (-375)) (-4 *4 (-1273 *2))
+ (-4 *5 (-1273 (-420 *4))) (-4 *1 (-347 *2 *4 *5 *6))
+ (-4 *6 (-354 *2 *4 *5))))
+ ((*1 *1 *2 *2)
+ (-12 (-4 *2 (-375)) (-4 *3 (-1273 *2)) (-4 *4 (-1273 (-420 *3)))
+ (-4 *1 (-347 *2 *3 *4 *5)) (-4 *5 (-354 *2 *3 *4))))
+ ((*1 *1 *2)
+ (-12 (-4 *3 (-375)) (-4 *4 (-1273 *3)) (-4 *5 (-1273 (-420 *4)))
+ (-4 *1 (-347 *3 *4 *5 *2)) (-4 *2 (-354 *3 *4 *5))))
+ ((*1 *1 *2)
+ (-12 (-5 *2 (-426 *4 (-420 *4) *5 *6)) (-4 *4 (-1273 *3))
+ (-4 *5 (-1273 (-420 *4))) (-4 *6 (-354 *3 *4 *5)) (-4 *3 (-375))
+ (-4 *1 (-347 *3 *4 *5 *6)))))
(((*1 *2 *3)
- (-12 (-5 *3 (-949)) (-5 *2 (-1202 *4)) (-5 *1 (-601 *4))
- (-4 *4 (-361)))))
+ (-12 (-5 *3 (-792)) (-5 *2 (-710 (-980 *4))) (-5 *1 (-1058 *4))
+ (-4 *4 (-1079)))))
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+ (-12 (-5 *2 (-665 (-665 (-971 (-228))))) (-5 *3 (-665 (-897)))
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+ ((*1 *1 *2 *3 *3 *4)
+ (-12 (-5 *2 (-665 (-665 (-971 (-228))))) (-5 *3 (-665 (-897)))
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+ ((*1 *1 *1) (-5 *1 (-481))))
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+(((*1 *2 *1 *1)
+ (-12 (-4 *3 (-375)) (-4 *3 (-1079))
+ (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -1686 *1)))
+ (-4 *1 (-875 *3)))))
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(((*1 *2 *3)
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- (-5 *2 (-792)))))
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- (-12 (-5 *3 (-710 (-228))) (-5 *4 (-577)) (-5 *2 (-1065))
- (-5 *1 (-776)))))
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- (|partial| -12 (-4 *4 (-465)) (-4 *5 (-814)) (-4 *6 (-870))
- (-4 *7 (-1095 *4 *5 *6)) (-5 *2 (-112))
- (-5 *1 (-1018 *4 *5 *6 *7 *3)) (-4 *3 (-1101 *4 *5 *6 *7))))
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- (|partial| -12 (-4 *4 (-465)) (-4 *5 (-814)) (-4 *6 (-870))
- (-4 *7 (-1095 *4 *5 *6)) (-5 *2 (-112))
- (-5 *1 (-1137 *4 *5 *6 *7 *3)) (-4 *3 (-1101 *4 *5 *6 *7)))))
+ (-12 (-5 *3 (-1 *5 *5 *5)) (-4 *5 (-1288 *4))
+ (-4 *4 (-38 (-420 (-577))))
+ (-5 *2 (-1 (-1187 *4) (-1187 *4) (-1187 *4))) (-5 *1 (-1290 *4 *5)))))
(((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
@@ -15984,49 +15139,50 @@
((*1 *1 *1)
(-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
(-14 *3 (-665 (-1206))) (-4 *4 (-400))))
- ((*1 *1 *1) (-4 *1 (-506)))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
- (-5 *1 (-1192 *3)))))
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- (-12 (-5 *3 (-228)) (-5 *4 (-577))
- (-5 *5 (-3 (|:| |fn| (-401)) (|:| |fp| (-64 G)))) (-5 *2 (-1065))
- (-5 *1 (-769)))))
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- (-12 (-5 *3 (-1202 *9)) (-5 *4 (-665 *7)) (-4 *7 (-870))
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- (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
- (-4 *2 (-13 (-443 *3) (-1032))))))
+ (-5 *1 (-1192 *3))))
+ ((*1 *1 *1) (-4 *1 (-1235))))
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+ (-12 (-5 *3 (-577)) (-5 *4 (-710 (-228)))
+ (-5 *5 (-3 (|:| |fn| (-401)) (|:| |fp| (-63 LSFUN2))))
+ (-5 *2 (-1065)) (-5 *1 (-774)))))
(((*1 *2 *3)
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- (-4 *4 (-1247)))))
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+ (-12 (-5 *3 (-1297 (-327 (-228))))
+ (-5 *2
+ (-2 (|:| |additions| (-577)) (|:| |multiplications| (-577))
+ (|:| |exponentiations| (-577)) (|:| |functionCalls| (-577))))
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(-12 (-5 *3 (-1 (-391) (-391))) (-5 *4 (-391))
(-5 *2
- (-2 (|:| -3254 *4) (|:| -3405 *4) (|:| |totalpts| (-577))
+ (-2 (|:| -2564 *4) (|:| -3325 *4) (|:| |totalpts| (-577))
(|:| |success| (-112))))
(-5 *1 (-810)) (-5 *5 (-577)))))
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- ((*1 *2) (-12 (-5 *2 (-932 (-577))) (-5 *1 (-945)))))
-(((*1 *1 *1) (-4 *1 (-95)))
- ((*1 *2 *2)
+(((*1 *2 *3 *4 *5 *6 *2 *7 *8)
+ (|partial| -12 (-5 *2 (-665 (-1202 *11))) (-5 *3 (-1202 *11))
+ (-5 *4 (-665 *10)) (-5 *5 (-665 *8)) (-5 *6 (-665 (-792)))
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+ (-4 *8 (-318)) (-4 *11 (-977 *8 *9 *10)) (-4 *9 (-814))
+ (-5 *1 (-728 *9 *10 *8 *11)))))
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+ (-12 (-4 *1 (-379 *3)) (-4 *3 (-174)) (-4 *3 (-569))
+ (-5 *2 (-1202 *3)))))
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+ (-12 (-4 *4 (-465)) (-4 *4 (-569))
+ (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -4141 *4)))
+ (-5 *1 (-999 *4 *3)) (-4 *3 (-1273 *4)))))
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(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
((*1 *2 *2)
@@ -16035,42 +15191,37 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
+ ((*1 *1 *2) (-12 (-5 *1 (-342 *2)) (-4 *2 (-870))))
+ ((*1 *1 *1)
+ (-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
+ (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
- (-5 *1 (-1192 *3)))))
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- (-12 (-5 *2 (-845)) (-5 *3 (-665 (-1206))) (-5 *1 (-846)))))
-(((*1 *1 *1 *2)
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-(((*1 *1) (-5 *1 (-622))))
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- (-12
- (-5 *3
- (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-792)) (|:| |poli| *7)
- (|:| |polj| *7)))
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- (-5 *2 (-112)) (-5 *1 (-462 *4 *5 *6 *7)))))
-(((*1 *2 *1 *2) (-12 (-5 *2 (-665 (-1188))) (-5 *1 (-407))))
- ((*1 *2 *1 *2) (-12 (-5 *2 (-665 (-1188))) (-5 *1 (-1227)))))
+ (-5 *1 (-1192 *3))))
+ ((*1 *1 *1) (-4 *1 (-1235))))
(((*1 *2 *3 *4)
- (-12 (-5 *3 (-228)) (-5 *4 (-577)) (-5 *2 (-1065)) (-5 *1 (-779)))))
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- (-12
- (-5 *2
- (-665
- (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-792)) (|:| |poli| *3)
- (|:| |polj| *3))))
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- (-5 *1 (-462 *4 *5 *6 *3)))))
-(((*1 *1 *1 *2) (-12 (-4 *1 (-1042)) (-5 *2 (-885)))))
-(((*1 *1 *1) (-4 *1 (-95)))
- ((*1 *2 *2)
+ (-12 (-4 *5 (-465)) (-4 *6 (-814)) (-4 *7 (-870))
+ (-4 *3 (-1095 *5 *6 *7))
+ (-5 *2 (-665 (-2 (|:| |val| *3) (|:| -1829 *4))))
+ (-5 *1 (-1102 *5 *6 *7 *3 *4)) (-4 *4 (-1101 *5 *6 *7 *3)))))
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+ (-12 (-5 *3 (-792)) (-4 *4 (-375)) (-4 *5 (-1273 *4)) (-5 *2 (-1302))
+ (-5 *1 (-40 *4 *5 *6 *7)) (-4 *6 (-1273 (-420 *5))) (-14 *7 *6))))
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+ (-12 (-5 *4 (-710 (-228))) (-5 *5 (-710 (-577))) (-5 *3 (-577))
+ (-5 *2 (-1065)) (-5 *1 (-777)))))
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+ (-12 (-4 *4 (-361))
+ (-5 *2 (-665 (-2 (|:| |deg| (-792)) (|:| -4003 *3))))
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(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032)))))
((*1 *2 *2)
@@ -16079,554 +15230,194 @@
((*1 *2 *2)
(-12 (-4 *3 (-38 (-420 (-577)))) (-4 *4 (-1257 *3))
(-5 *1 (-289 *3 *4 *2 *5)) (-4 *2 (-1280 *3 *4)) (-4 *5 (-1013 *4))))
+ ((*1 *1 *2) (-12 (-5 *1 (-342 *2)) (-4 *2 (-870))))
+ ((*1 *1 *1)
+ (-12 (-5 *1 (-351 *2 *3 *4)) (-14 *2 (-665 (-1206)))
+ (-14 *3 (-665 (-1206))) (-4 *4 (-400))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
(-5 *1 (-1191 *3))))
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-420 (-577))))
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- (-5 *2 (-2 (|:| -2203 *1) (|:| -2519 *1))) (-4 *1 (-977 *4 *5 *3))))
- ((*1 *2 *1 *1)
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-(((*1 *2 *3 *4)
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- ((*1 *2 *3 *4)
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- (-4 *4 (-132)))))
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(((*1 *2 *1)
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-(((*1 *2 *3 *4 *4 *4 *4)
- (-12 (-5 *4 (-228))
+ (-12
(-5 *2
- (-2 (|:| |brans| (-665 (-665 (-971 *4))))
- (|:| |xValues| (-1124 *4)) (|:| |yValues| (-1124 *4))))
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- (-4 *4 (-1273 *3)) (-5 *1 (-512 *3 *4 *5)) (-4 *5 (-422 *3 *4)))))
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- (-4 *4 (-430 *3)))))
-(((*1 *2 *1)
- (-12 (-5 *2 (-665 (-933 *3))) (-5 *1 (-932 *3)) (-4 *3 (-1130)))))
+ (-665
+ (-2 (|:| |var| (-1206)) (|:| |fn| (-327 (-228)))
+ (|:| -2051 (-1124 (-864 (-228)))) (|:| |abserr| (-228))
+ (|:| |relerr| (-228)))))
+ (-5 *1 (-572))))
+ ((*1 *2 *1)
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+ (-5 *2 (-665 *3))))
+ ((*1 *2 *1)
+ (-12
+ (-5 *2
+ (-665
+ (-2 (|:| |xinit| (-228)) (|:| |xend| (-228))
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(((*1 *2 *2)
(-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2))
(-4 *2 (-13 (-443 *3) (-1032))))))
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+ (-4 *5 (-385 *3)) (-5 *2 (-112))))
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+ (-12 (-5 *2 (-1188)) (-4 *1 (-376 *3 *4)) (-4 *3 (-1130))
+ (-4 *4 (-1130)))))
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(((*1 *2 *2 *1)
(-12 (-5 *2 (-1321 *3 *4)) (-4 *1 (-386 *3 *4)) (-4 *3 (-870))
(-4 *4 (-174))))
@@ -16738,7 +16673,71 @@
(-4 *4 (-1079))))
((*1 *1 *1 *2)
(-12 (-4 *1 (-1314 *2 *3)) (-4 *2 (-870)) (-4 *3 (-1079)))))
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(((*1 *2 *2 *3)
(-12 (-5 *3 (-420 (-577))) (-4 *4 (-1068 (-577))) (-4 *4 (-569))
(-5 *1 (-32 *4 *2)) (-4 *2 (-443 *4))))
@@ -16810,361 +16809,259 @@
(-5 *1 (-1192 *3))))
((*1 *1 *1 *2)
(-12 (-4 *1 (-1288 *2)) (-4 *2 (-1079)) (-4 *2 (-375)))))
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- (-4 *2 (-13 (-443 *3) (-1232))))))
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@@ -17177,233 +17074,108 @@
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