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-rw-r--r--src/share/algebra/browse.daase102
1 files changed, 51 insertions, 51 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index 14610502..1e7e8360 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
-(2292591 . 3486548941)
+(2292752 . 3486554162)
(-18 A S)
((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result.")))
NIL
@@ -88,7 +88,7 @@ NIL
((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p, [a1,...,an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an.")))
NIL
NIL
-(-40 -2060 UP UPUP -3589)
+(-40 -2060 UP UPUP -1520)
((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}")))
((-4454 |has| (-419 |#2|) (-374)) (-4459 |has| (-419 |#2|) (-374)) (-4453 |has| (-419 |#2|) (-374)) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T))
((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2835 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2835 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2835 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2835 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2835 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2835 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))))
@@ -172,59 +172,59 @@ NIL
((|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}.")))
((-4461 . T) (-4462 . T))
((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2835 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1119)))) (-2835 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (QUOTE (-102))))
-(-61 -2706)
+(-61 -2705)
((|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 -2706)
+(-62 -2705)
((|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 -2706)
+(-63 -2705)
((|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 -2706)
+(-64 -2705)
((|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 -2706)
+(-65 -2705)
((|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 -2706)
+(-66 -2705)
((|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 -2706)
+(-67 -2705)
((|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 -2706)
+(-68 -2705)
((|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 -2706)
+(-69 -2705)
((|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 -2706)
+(-70 -2705)
((|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 -2706)
+(-71 -2705)
((|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 -2706)
+(-72 -2705)
((|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 -2706)
+(-73 -2705)
((|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 -2706)
+(-74 -2705)
((|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 -2706)
+(-77 -2705)
((|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 -2706)
+(-78 -2705)
((|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 -2706)
+(-79 -2705)
((|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 -2706)
+(-80 -2705)
((|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 -2706)
+(-81 -2705)
((|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 -2706)
+(-82 -2705)
((|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 -2706)
+(-83 -2705)
((|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 -2706)
+(-84 -2705)
((|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 -2706)
+(-85 -2705)
((|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 -2706)
+(-86 -2705)
((|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 -2706)
+(-87 -2705)
((|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 -2706)
+(-88 -2705)
((|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 -2706)
+(-89 -2705)
((|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
@@ -1124,7 +1124,7 @@ 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
-(-299 S R |Mod| -1415 -2190 |exactQuo|)
+(-299 S R |Mod| -2730 -1678 |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")))
((-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T))
NIL
@@ -1247,7 +1247,7 @@ NIL
(-329 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.")))
(((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2835 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2264) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2835 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4295) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))))
(-330 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
@@ -1568,7 +1568,7 @@ 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
-(-410 -2706 |returnType| -1912 |symbols|)
+(-410 -2705 |returnType| -1912 |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
@@ -1875,7 +1875,7 @@ NIL
(-486 |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.")))
(((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2835 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2264) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2835 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4295) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))))
(-487 |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.")))
((-4462 . T))
@@ -2608,7 +2608,7 @@ NIL
((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a, zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}.")))
NIL
((|HasCategory| |#1| (QUOTE (-27))))
-(-670 A -3201)
+(-670 A -2190)
((|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}}")))
((-4455 . T) (-4456 . T) (-4458 . T))
((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374))))
@@ -2800,7 +2800,7 @@ 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
-(-718 S -2051 I)
+(-718 S -2052 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
@@ -2820,7 +2820,7 @@ NIL
((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format.")))
NIL
NIL
-(-723 R |Mod| -1415 -2190 |exactQuo|)
+(-723 R |Mod| -2730 -1678 |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| $) "\\spad{modulus(x)} \\undocumented")))
((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T))
NIL
@@ -2836,7 +2836,7 @@ NIL
((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}.")))
((-4456 |has| |#1| (-174)) (-4455 |has| |#1| (-174)) (-4458 . T))
((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))))
-(-727 R |Mod| -1415 -2190 |exactQuo|)
+(-727 R |Mod| -2730 -1678 |exactQuo|)
((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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")))
((-4458 . T))
NIL
@@ -3540,7 +3540,7 @@ 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
-(-903 R -2051)
+(-903 R -2052)
((|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
@@ -3744,11 +3744,11 @@ 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 -899) (|devaluate| |#1|))))
-(-954 R -2060 -2051)
+(-954 R -2060 -2052)
((|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
-(-955 -2051)
+(-955 -2052)
((|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
@@ -4639,7 +4639,7 @@ NIL
(-1177)
((|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")))
((-4462 . T) (-4461 . T))
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(-1178 |Entry|)
((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used.")))
((-4461 . T) (-4462 . T))
@@ -4675,7 +4675,7 @@ NIL
(-1186 |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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(|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-174)))) (-12 (|HasCategory| (-1193 |#1| |#2| |#3|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| (-1193 |#1| |#2| |#3|) (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| (-1193 |#1| |#2| |#3|) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-1193 |#1| |#2| |#3|) (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-374)))) (-2835 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-1193 |#1| |#2| |#3|) (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| (-1193 |#1| |#2| |#3|) (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-146)))))
(-1187 R -2060)
((|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
@@ -4699,11 +4699,11 @@ NIL
(-1192 |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.")))
(((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T))
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(-1193 |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}.")))
(((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T))
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(-1194)
((|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
@@ -4927,11 +4927,11 @@ NIL
(-1249 |Coef| UTS)
((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")))
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(-1250 |Coef| |var| |cen|)
((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariateLaurentSeries(Integer,x,3)} represents Laurent series in} \\indented{2}{\\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. 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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(-1251 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
@@ -5011,11 +5011,11 @@ NIL
(-1270 |Coef| ULS)
((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}.")))
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+((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2835 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4295) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))))
(-1271 |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.")))
(((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2835 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2264) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))))
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(-1272 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,f(var))}.")))
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@@ -5035,7 +5035,7 @@ NIL
(-1276 S |Coef|)
((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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
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(-1277 |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.")))
(((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T))
@@ -5043,7 +5043,7 @@ NIL
(-1278 |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}.")))
(((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T))
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2264) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))))
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2835 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3563) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2835 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4295) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1992) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))))
(-1279 |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
@@ -5208,4 +5208,4 @@ NIL
NIL
NIL
NIL
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"STEPAST.spad" 1980289 1980298 1981045 1981050) (-1169 "STBL.spad" 1978373 1978401 1978540 1978555) (-1168 "STAGG.spad" 1977448 1977459 1978363 1978368) (-1167 "STAGG.spad" 1976521 1976534 1977438 1977443) (-1166 "STACK.spad" 1975761 1975772 1976011 1976038) (-1165 "SREGSET.spad" 1973429 1973446 1975371 1975398) (-1164 "SRDCMPK.spad" 1971990 1972010 1973419 1973424) (-1163 "SRAGG.spad" 1967133 1967142 1971958 1971985) (-1162 "SRAGG.spad" 1962296 1962307 1967123 1967128) (-1161 "SQMATRIX.spad" 1959839 1959857 1960755 1960842) (-1160 "SPLTREE.spad" 1954235 1954248 1959119 1959146) (-1159 "SPLNODE.spad" 1950823 1950836 1954225 1954230) (-1158 "SPFCAT.spad" 1949632 1949641 1950813 1950818) (-1157 "SPECOUT.spad" 1948184 1948193 1949622 1949627) (-1156 "SPADXPT.spad" 1939779 1939788 1948174 1948179) (-1155 "spad-parser.spad" 1939244 1939253 1939769 1939774) (-1154 "SPADAST.spad" 1938945 1938954 1939234 1939239) (-1153 "SPACEC.spad" 1923144 1923155 1938935 1938940) (-1152 "SPACE3.spad" 1922920 1922931 1923134 1923139) (-1151 "SORTPAK.spad" 1922469 1922482 1922876 1922881) (-1150 "SOLVETRA.spad" 1920232 1920243 1922459 1922464) (-1149 "SOLVESER.spad" 1918760 1918771 1920222 1920227) (-1148 "SOLVERAD.spad" 1914786 1914797 1918750 1918755) (-1147 "SOLVEFOR.spad" 1913248 1913266 1914776 1914781) (-1146 "SNTSCAT.spad" 1912848 1912865 1913216 1913243) (-1145 "SMTS.spad" 1911120 1911146 1912413 1912510) (-1144 "SMP.spad" 1908595 1908615 1908985 1909112) (-1143 "SMITH.spad" 1907440 1907465 1908585 1908590) (-1142 "SMATCAT.spad" 1905550 1905580 1907384 1907435) (-1141 "SMATCAT.spad" 1903592 1903624 1905428 1905433) (-1140 "SKAGG.spad" 1902555 1902566 1903560 1903587) (-1139 "SINT.spad" 1901495 1901504 1902421 1902550) (-1138 "SIMPAN.spad" 1901223 1901232 1901485 1901490) (-1137 "SIG.spad" 1900553 1900562 1901213 1901218) (-1136 "SIGNRF.spad" 1899671 1899682 1900543 1900548) (-1135 "SIGNEF.spad" 1898950 1898967 1899661 1899666) (-1134 "SIGAST.spad" 1898335 1898344 1898940 1898945) (-1133 "SHP.spad" 1896263 1896278 1898291 1898296) (-1132 "SHDP.spad" 1883941 1883968 1884450 1884549) (-1131 "SGROUP.spad" 1883549 1883558 1883931 1883936) (-1130 "SGROUP.spad" 1883155 1883166 1883539 1883544) (-1129 "SGCF.spad" 1876294 1876303 1883145 1883150) (-1128 "SFRTCAT.spad" 1875224 1875241 1876262 1876289) (-1127 "SFRGCD.spad" 1874287 1874307 1875214 1875219) (-1126 "SFQCMPK.spad" 1868924 1868944 1874277 1874282) (-1125 "SFORT.spad" 1868363 1868377 1868914 1868919) (-1124 "SEXOF.spad" 1868206 1868246 1868353 1868358) (-1123 "SEX.spad" 1868098 1868107 1868196 1868201) (-1122 "SEXCAT.spad" 1865870 1865910 1868088 1868093) (-1121 "SET.spad" 1864158 1864169 1865255 1865294) (-1120 "SETMN.spad" 1862608 1862625 1864148 1864153) (-1119 "SETCAT.spad" 1861930 1861939 1862598 1862603) (-1118 "SETCAT.spad" 1861250 1861261 1861920 1861925) (-1117 "SETAGG.spad" 1857799 1857810 1861230 1861245) (-1116 "SETAGG.spad" 1854356 1854369 1857789 1857794) (-1115 "SEQAST.spad" 1854059 1854068 1854346 1854351) (-1114 "SEGXCAT.spad" 1853215 1853228 1854049 1854054) (-1113 "SEG.spad" 1853028 1853039 1853134 1853139) (-1112 "SEGCAT.spad" 1851953 1851964 1853018 1853023) (-1111 "SEGBIND.spad" 1851711 1851722 1851900 1851905) (-1110 "SEGBIND2.spad" 1851409 1851422 1851701 1851706) (-1109 "SEGAST.spad" 1851123 1851132 1851399 1851404) (-1108 "SEG2.spad" 1850558 1850571 1851079 1851084) (-1107 "SDVAR.spad" 1849834 1849845 1850548 1850553) (-1106 "SDPOL.spad" 1847167 1847178 1847458 1847585) (-1105 "SCPKG.spad" 1845256 1845267 1847157 1847162) (-1104 "SCOPE.spad" 1844409 1844418 1845246 1845251) (-1103 "SCACHE.spad" 1843105 1843116 1844399 1844404) (-1102 "SASTCAT.spad" 1843014 1843023 1843095 1843100) (-1101 "SAOS.spad" 1842886 1842895 1843004 1843009) (-1100 "SAERFFC.spad" 1842599 1842619 1842876 1842881) (-1099 "SAE.spad" 1840069 1840085 1840680 1840815) (-1098 "SAEFACT.spad" 1839770 1839790 1840059 1840064) (-1097 "RURPK.spad" 1837429 1837445 1839760 1839765) (-1096 "RULESET.spad" 1836882 1836906 1837419 1837424) (-1095 "RULE.spad" 1835122 1835146 1836872 1836877) (-1094 "RULECOLD.spad" 1834974 1834987 1835112 1835117) (-1093 "RTVALUE.spad" 1834709 1834718 1834964 1834969) (-1092 "RSTRCAST.spad" 1834426 1834435 1834699 1834704) (-1091 "RSETGCD.spad" 1830804 1830824 1834416 1834421) (-1090 "RSETCAT.spad" 1820740 1820757 1830772 1830799) (-1089 "RSETCAT.spad" 1810696 1810715 1820730 1820735) (-1088 "RSDCMPK.spad" 1809148 1809168 1810686 1810691) (-1087 "RRCC.spad" 1807532 1807562 1809138 1809143) (-1086 "RRCC.spad" 1805914 1805946 1807522 1807527) (-1085 "RPTAST.spad" 1805616 1805625 1805904 1805909) (-1084 "RPOLCAT.spad" 1784976 1784991 1805484 1805611) (-1083 "RPOLCAT.spad" 1764049 1764066 1784559 1784564) (-1082 "ROUTINE.spad" 1759470 1759479 1762234 1762261) (-1081 "ROMAN.spad" 1758798 1758807 1759336 1759465) (-1080 "ROIRC.spad" 1757878 1757910 1758788 1758793) (-1079 "RNS.spad" 1756781 1756790 1757780 1757873) (-1078 "RNS.spad" 1755770 1755781 1756771 1756776) (-1077 "RNG.spad" 1755505 1755514 1755760 1755765) (-1076 "RNGBIND.spad" 1754665 1754679 1755460 1755465) (-1075 "RMODULE.spad" 1754430 1754441 1754655 1754660) (-1074 "RMCAT2.spad" 1753850 1753907 1754420 1754425) (-1073 "RMATRIX.spad" 1752638 1752657 1752981 1753020) (-1072 "RMATCAT.spad" 1748217 1748248 1752594 1752633) (-1071 "RMATCAT.spad" 1743686 1743719 1748065 1748070) (-1070 "RLINSET.spad" 1743390 1743401 1743676 1743681) (-1069 "RINTERP.spad" 1743278 1743298 1743380 1743385) (-1068 "RING.spad" 1742748 1742757 1743258 1743273) (-1067 "RING.spad" 1742226 1742237 1742738 1742743) (-1066 "RIDIST.spad" 1741618 1741627 1742216 1742221) (-1065 "RGCHAIN.spad" 1740146 1740162 1741048 1741075) (-1064 "RGBCSPC.spad" 1739927 1739939 1740136 1740141) (-1063 "RGBCMDL.spad" 1739457 1739469 1739917 1739922) (-1062 "RF.spad" 1737099 1737110 1739447 1739452) (-1061 "RFFACTOR.spad" 1736561 1736572 1737089 1737094) (-1060 "RFFACT.spad" 1736296 1736308 1736551 1736556) (-1059 "RFDIST.spad" 1735292 1735301 1736286 1736291) (-1058 "RETSOL.spad" 1734711 1734724 1735282 1735287) (-1057 "RETRACT.spad" 1734139 1734150 1734701 1734706) (-1056 "RETRACT.spad" 1733565 1733578 1734129 1734134) (-1055 "RETAST.spad" 1733377 1733386 1733555 1733560) (-1054 "RESULT.spad" 1730975 1730984 1731562 1731589) (-1053 "RESRING.spad" 1730322 1730369 1730913 1730970) (-1052 "RESLATC.spad" 1729646 1729657 1730312 1730317) (-1051 "REPSQ.spad" 1729377 1729388 1729636 1729641) (-1050 "REP.spad" 1726931 1726940 1729367 1729372) (-1049 "REPDB.spad" 1726638 1726649 1726921 1726926) (-1048 "REP2.spad" 1716296 1716307 1726480 1726485) (-1047 "REP1.spad" 1710492 1710503 1716246 1716251) (-1046 "REGSET.spad" 1708253 1708270 1710102 1710129) (-1045 "REF.spad" 1707588 1707599 1708208 1708213) (-1044 "REDORDER.spad" 1706794 1706811 1707578 1707583) (-1043 "RECLOS.spad" 1705577 1705597 1706281 1706374) (-1042 "REALSOLV.spad" 1704717 1704726 1705567 1705572) (-1041 "REAL.spad" 1704589 1704598 1704707 1704712) (-1040 "REAL0Q.spad" 1701887 1701902 1704579 1704584) (-1039 "REAL0.spad" 1698731 1698746 1701877 1701882) (-1038 "RDUCEAST.spad" 1698452 1698461 1698721 1698726) (-1037 "RDIV.spad" 1698107 1698132 1698442 1698447) (-1036 "RDIST.spad" 1697674 1697685 1698097 1698102) (-1035 "RDETRS.spad" 1696538 1696556 1697664 1697669) (-1034 "RDETR.spad" 1694677 1694695 1696528 1696533) (-1033 "RDEEFS.spad" 1693776 1693793 1694667 1694672) (-1032 "RDEEF.spad" 1692786 1692803 1693766 1693771) (-1031 "RCFIELD.spad" 1689972 1689981 1692688 1692781) (-1030 "RCFIELD.spad" 1687244 1687255 1689962 1689967) (-1029 "RCAGG.spad" 1685172 1685183 1687234 1687239) (-1028 "RCAGG.spad" 1683027 1683040 1685091 1685096) (-1027 "RATRET.spad" 1682387 1682398 1683017 1683022) (-1026 "RATFACT.spad" 1682079 1682091 1682377 1682382) (-1025 "RANDSRC.spad" 1681398 1681407 1682069 1682074) (-1024 "RADUTIL.spad" 1681154 1681163 1681388 1681393) (-1023 "RADIX.spad" 1677978 1677992 1679524 1679617) (-1022 "RADFF.spad" 1675717 1675754 1675836 1675992) (-1021 "RADCAT.spad" 1675312 1675321 1675707 1675712) (-1020 "RADCAT.spad" 1674905 1674916 1675302 1675307) (-1019 "QUEUE.spad" 1674136 1674147 1674395 1674422) (-1018 "QUAT.spad" 1672624 1672635 1672967 1673032) (-1017 "QUATCT2.spad" 1672244 1672263 1672614 1672619) (-1016 "QUATCAT.spad" 1670414 1670425 1672174 1672239) (-1015 "QUATCAT.spad" 1668335 1668348 1670097 1670102) (-1014 "QUAGG.spad" 1667162 1667173 1668303 1668330) (-1013 "QQUTAST.spad" 1666930 1666939 1667152 1667157) (-1012 "QFORM.spad" 1666548 1666563 1666920 1666925) (-1011 "QFCAT.spad" 1665250 1665261 1666450 1666543) (-1010 "QFCAT.spad" 1663543 1663556 1664745 1664750) (-1009 "QFCAT2.spad" 1663235 1663252 1663533 1663538) (-1008 "QEQUAT.spad" 1662793 1662802 1663225 1663230) (-1007 "QCMPACK.spad" 1657539 1657559 1662783 1662788) (-1006 "QALGSET.spad" 1653617 1653650 1657453 1657458) (-1005 "QALGSET2.spad" 1651612 1651631 1653607 1653612) (-1004 "PWFFINTB.spad" 1649027 1649049 1651602 1651607) (-1003 "PUSHVAR.spad" 1648365 1648385 1649017 1649022) (-1002 "PTRANFN.spad" 1644492 1644503 1648355 1648360) (-1001 "PTPACK.spad" 1641579 1641590 1644482 1644487) (-1000 "PTFUNC2.spad" 1641401 1641416 1641569 1641574) (-999 "PTCAT.spad" 1640656 1640666 1641369 1641396) (-998 "PSQFR.spad" 1639963 1639987 1640646 1640651) (-997 "PSEUDLIN.spad" 1638849 1638859 1639953 1639958) (-996 "PSETPK.spad" 1624282 1624298 1638727 1638732) (-995 "PSETCAT.spad" 1618202 1618225 1624262 1624277) (-994 "PSETCAT.spad" 1612096 1612121 1618158 1618163) (-993 "PSCURVE.spad" 1611079 1611087 1612086 1612091) (-992 "PSCAT.spad" 1609862 1609891 1610977 1611074) (-991 "PSCAT.spad" 1608735 1608766 1609852 1609857) (-990 "PRTITION.spad" 1607433 1607441 1608725 1608730) (-989 "PRTDAST.spad" 1607152 1607160 1607423 1607428) (-988 "PRS.spad" 1596714 1596731 1607108 1607113) (-987 "PRQAGG.spad" 1596149 1596159 1596682 1596709) (-986 "PROPLOG.spad" 1595721 1595729 1596139 1596144) (-985 "PROPFUN2.spad" 1595344 1595357 1595711 1595716) (-984 "PROPFUN1.spad" 1594742 1594753 1595334 1595339) (-983 "PROPFRML.spad" 1593310 1593321 1594732 1594737) (-982 "PROPERTY.spad" 1592798 1592806 1593300 1593305) (-981 "PRODUCT.spad" 1590480 1590492 1590764 1590819) (-980 "PR.spad" 1588872 1588884 1589571 1589698) (-979 "PRINT.spad" 1588624 1588632 1588862 1588867) (-978 "PRIMES.spad" 1586877 1586887 1588614 1588619) (-977 "PRIMELT.spad" 1584958 1584972 1586867 1586872) (-976 "PRIMCAT.spad" 1584585 1584593 1584948 1584953) (-975 "PRIMARR.spad" 1583437 1583447 1583615 1583642) (-974 "PRIMARR2.spad" 1582204 1582216 1583427 1583432) (-973 "PREASSOC.spad" 1581586 1581598 1582194 1582199) (-972 "PPCURVE.spad" 1580723 1580731 1581576 1581581) (-971 "PORTNUM.spad" 1580498 1580506 1580713 1580718) (-970 "POLYROOT.spad" 1579347 1579369 1580454 1580459) (-969 "POLY.spad" 1576682 1576692 1577197 1577324) (-968 "POLYLIFT.spad" 1575947 1575970 1576672 1576677) (-967 "POLYCATQ.spad" 1574065 1574087 1575937 1575942) (-966 "POLYCAT.spad" 1567535 1567556 1573933 1574060) (-965 "POLYCAT.spad" 1560343 1560366 1566743 1566748) (-964 "POLY2UP.spad" 1559795 1559809 1560333 1560338) (-963 "POLY2.spad" 1559392 1559404 1559785 1559790) (-962 "POLUTIL.spad" 1558333 1558362 1559348 1559353) (-961 "POLTOPOL.spad" 1557081 1557096 1558323 1558328) (-960 "POINT.spad" 1555766 1555776 1555853 1555880) (-959 "PNTHEORY.spad" 1552468 1552476 1555756 1555761) (-958 "PMTOOLS.spad" 1551243 1551257 1552458 1552463) (-957 "PMSYM.spad" 1550792 1550802 1551233 1551238) (-956 "PMQFCAT.spad" 1550383 1550397 1550782 1550787) (-955 "PMPRED.spad" 1549862 1549876 1550373 1550378) (-954 "PMPREDFS.spad" 1549316 1549338 1549852 1549857) (-953 "PMPLCAT.spad" 1548396 1548414 1549248 1549253) (-952 "PMLSAGG.spad" 1547981 1547995 1548386 1548391) (-951 "PMKERNEL.spad" 1547560 1547572 1547971 1547976) (-950 "PMINS.spad" 1547140 1547150 1547550 1547555) (-949 "PMFS.spad" 1546717 1546735 1547130 1547135) (-948 "PMDOWN.spad" 1546007 1546021 1546707 1546712) (-947 "PMASS.spad" 1545017 1545025 1545997 1546002) (-946 "PMASSFS.spad" 1543984 1544000 1545007 1545012) (-945 "PLOTTOOL.spad" 1543764 1543772 1543974 1543979) (-944 "PLOT.spad" 1538687 1538695 1543754 1543759) (-943 "PLOT3D.spad" 1535151 1535159 1538677 1538682) (-942 "PLOT1.spad" 1534308 1534318 1535141 1535146) (-941 "PLEQN.spad" 1521598 1521625 1534298 1534303) (-940 "PINTERP.spad" 1521220 1521239 1521588 1521593) (-939 "PINTERPA.spad" 1521004 1521020 1521210 1521215) (-938 "PI.spad" 1520613 1520621 1520978 1520999) (-937 "PID.spad" 1519583 1519591 1520539 1520608) (-936 "PICOERCE.spad" 1519240 1519250 1519573 1519578) (-935 "PGROEB.spad" 1517841 1517855 1519230 1519235) (-934 "PGE.spad" 1509458 1509466 1517831 1517836) (-933 "PGCD.spad" 1508348 1508365 1509448 1509453) (-932 "PFRPAC.spad" 1507497 1507507 1508338 1508343) (-931 "PFR.spad" 1504160 1504170 1507399 1507492) (-930 "PFOTOOLS.spad" 1503418 1503434 1504150 1504155) (-929 "PFOQ.spad" 1502788 1502806 1503408 1503413) (-928 "PFO.spad" 1502207 1502234 1502778 1502783) (-927 "PF.spad" 1501781 1501793 1502012 1502105) (-926 "PFECAT.spad" 1499463 1499471 1501707 1501776) (-925 "PFECAT.spad" 1497173 1497183 1499419 1499424) (-924 "PFBRU.spad" 1495061 1495073 1497163 1497168) (-923 "PFBR.spad" 1492621 1492644 1495051 1495056) (-922 "PERM.spad" 1488428 1488438 1492451 1492466) (-921 "PERMGRP.spad" 1483198 1483208 1488418 1488423) (-920 "PERMCAT.spad" 1481859 1481869 1483178 1483193) (-919 "PERMAN.spad" 1480391 1480405 1481849 1481854) (-918 "PENDTREE.spad" 1479615 1479625 1479903 1479908) (-917 "PDSPC.spad" 1478428 1478438 1479605 1479610) (-916 "PDSPC.spad" 1477239 1477251 1478418 1478423) (-915 "PDRING.spad" 1477081 1477091 1477219 1477234) (-914 "PDMOD.spad" 1476897 1476909 1477049 1477076) (-913 "PDEPROB.spad" 1475912 1475920 1476887 1476892) (-912 "PDEPACK.spad" 1469952 1469960 1475902 1475907) (-911 "PDECOMP.spad" 1469422 1469439 1469942 1469947) (-910 "PDECAT.spad" 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"DPOLCAT.spad" 321376 321394 325897 325902) (-258 "DPMO.spad" 313136 313152 313274 313487) (-257 "DPMM.spad" 304909 304927 305034 305247) (-256 "DOMTMPLT.spad" 304680 304688 304899 304904) (-255 "DOMCTOR.spad" 304435 304443 304670 304675) (-254 "DOMAIN.spad" 303522 303530 304425 304430) (-253 "DMP.spad" 300782 300797 301352 301479) (-252 "DMEXT.spad" 300649 300659 300750 300777) (-251 "DLP.spad" 300001 300011 300639 300644) (-250 "DLIST.spad" 298427 298437 299031 299058) (-249 "DLAGG.spad" 296844 296854 298417 298422) (-248 "DIVRING.spad" 296386 296394 296788 296839) (-247 "DIVRING.spad" 295972 295982 296376 296381) (-246 "DISPLAY.spad" 294162 294170 295962 295967) (-245 "DIRPROD.spad" 281709 281725 282349 282448) (-244 "DIRPROD2.spad" 280527 280545 281699 281704) (-243 "DIRPCAT.spad" 279720 279736 280423 280522) (-242 "DIRPCAT.spad" 278540 278558 279245 279250) (-241 "DIOSP.spad" 277365 277373 278530 278535) (-240 "DIOPS.spad" 276361 276371 277345 277360) (-239 "DIOPS.spad" 275331 275343 276317 276322) (-238 "DIFRING.spad" 275169 275177 275311 275326) (-237 "DIFFSPC.spad" 274748 274756 275159 275164) (-236 "DIFFSPC.spad" 274325 274335 274738 274743) (-235 "DIFFMOD.spad" 273814 273824 274293 274320) (-234 "DIFFDOM.spad" 272979 272990 273804 273809) (-233 "DIFFDOM.spad" 272142 272155 272969 272974) (-232 "DIFEXT.spad" 271961 271971 272122 272137) (-231 "DIAGG.spad" 271591 271601 271941 271956) (-230 "DIAGG.spad" 271229 271241 271581 271586) (-229 "DHMATRIX.spad" 269424 269434 270569 270596) (-228 "DFSFUN.spad" 263064 263072 269414 269419) (-227 "DFLOAT.spad" 259795 259803 262954 263059) (-226 "DFINTTLS.spad" 258026 258042 259785 259790) (-225 "DERHAM.spad" 255940 255972 258006 258021) (-224 "DEQUEUE.spad" 255147 255157 255430 255457) (-223 "DEGRED.spad" 254764 254778 255137 255142) (-222 "DEFINTRF.spad" 252301 252311 254754 254759) (-221 "DEFINTEF.spad" 250811 250827 252291 252296) (-220 "DEFAST.spad" 250179 250187 250801 250806) (-219 "DECIMAL.spad" 248188 248196 248549 248642) (-218 "DDFACT.spad" 246001 246018 248178 248183) (-217 "DBLRESP.spad" 245601 245625 245991 245996) (-216 "DBASE.spad" 244265 244275 245591 245596) (-215 "DATAARY.spad" 243727 243740 244255 244260) (-214 "D03FAFA.spad" 243555 243563 243717 243722) (-213 "D03EEFA.spad" 243375 243383 243545 243550) (-212 "D03AGNT.spad" 242461 242469 243365 243370) (-211 "D02EJFA.spad" 241923 241931 242451 242456) (-210 "D02CJFA.spad" 241401 241409 241913 241918) (-209 "D02BHFA.spad" 240891 240899 241391 241396) (-208 "D02BBFA.spad" 240381 240389 240881 240886) (-207 "D02AGNT.spad" 235195 235203 240371 240376) (-206 "D01WGTS.spad" 233514 233522 235185 235190) (-205 "D01TRNS.spad" 233491 233499 233504 233509) (-204 "D01GBFA.spad" 233013 233021 233481 233486) (-203 "D01FCFA.spad" 232535 232543 233003 233008) (-202 "D01ASFA.spad" 232003 232011 232525 232530) (-201 "D01AQFA.spad" 231449 231457 231993 231998) (-200 "D01APFA.spad" 230873 230881 231439 231444) (-199 "D01ANFA.spad" 230367 230375 230863 230868) (-198 "D01AMFA.spad" 229877 229885 230357 230362) (-197 "D01ALFA.spad" 229417 229425 229867 229872) (-196 "D01AKFA.spad" 228943 228951 229407 229412) (-195 "D01AJFA.spad" 228466 228474 228933 228938) (-194 "D01AGNT.spad" 224533 224541 228456 228461) (-193 "CYCLOTOM.spad" 224039 224047 224523 224528) (-192 "CYCLES.spad" 220831 220839 224029 224034) (-191 "CVMP.spad" 220248 220258 220821 220826) (-190 "CTRIGMNP.spad" 218748 218764 220238 220243) (-189 "CTOR.spad" 218439 218447 218738 218743) (-188 "CTORKIND.spad" 218042 218050 218429 218434) (-187 "CTORCAT.spad" 217291 217299 218032 218037) (-186 "CTORCAT.spad" 216538 216548 217281 217286) (-185 "CTORCALL.spad" 216127 216137 216528 216533) (-184 "CSTTOOLS.spad" 215372 215385 216117 216122) (-183 "CRFP.spad" 209096 209109 215362 215367) (-182 "CRCEAST.spad" 208816 208824 209086 209091) (-181 "CRAPACK.spad" 207867 207877 208806 208811) (-180 "CPMATCH.spad" 207371 207386 207792 207797) (-179 "CPIMA.spad" 207076 207095 207361 207366) (-178 "COORDSYS.spad" 202085 202095 207066 207071) (-177 "CONTOUR.spad" 201496 201504 202075 202080) (-176 "CONTFRAC.spad" 197246 197256 201398 201491) (-175 "CONDUIT.spad" 197004 197012 197236 197241) (-174 "COMRING.spad" 196678 196686 196942 196999) (-173 "COMPPROP.spad" 196196 196204 196668 196673) (-172 "COMPLPAT.spad" 195963 195978 196186 196191) (-171 "COMPLEX.spad" 191340 191350 191584 191845) (-170 "COMPLEX2.spad" 191055 191067 191330 191335) (-169 "COMPILER.spad" 190604 190612 191045 191050) (-168 "COMPFACT.spad" 190206 190220 190594 190599) (-167 "COMPCAT.spad" 188278 188288 189940 190201) (-166 "COMPCAT.spad" 186078 186090 187742 187747) (-165 "COMMUPC.spad" 185826 185844 186068 186073) (-164 "COMMONOP.spad" 185359 185367 185816 185821) (-163 "COMM.spad" 185170 185178 185349 185354) (-162 "COMMAAST.spad" 184933 184941 185160 185165) (-161 "COMBOPC.spad" 183848 183856 184923 184928) (-160 "COMBINAT.spad" 182615 182625 183838 183843) (-159 "COMBF.spad" 179997 180013 182605 182610) (-158 "COLOR.spad" 178834 178842 179987 179992) (-157 "COLONAST.spad" 178500 178508 178824 178829) (-156 "CMPLXRT.spad" 178211 178228 178490 178495) (-155 "CLLCTAST.spad" 177873 177881 178201 178206) (-154 "CLIP.spad" 173981 173989 177863 177868) (-153 "CLIF.spad" 172636 172652 173937 173976) (-152 "CLAGG.spad" 169141 169151 172626 172631) (-151 "CLAGG.spad" 165517 165529 169004 169009) (-150 "CINTSLPE.spad" 164848 164861 165507 165512) (-149 "CHVAR.spad" 162986 163008 164838 164843) (-148 "CHARZ.spad" 162901 162909 162966 162981) (-147 "CHARPOL.spad" 162411 162421 162891 162896) (-146 "CHARNZ.spad" 162164 162172 162391 162406) (-145 "CHAR.spad" 160038 160046 162154 162159) (-144 "CFCAT.spad" 159366 159374 160028 160033) (-143 "CDEN.spad" 158562 158576 159356 159361) (-142 "CCLASS.spad" 156673 156681 157935 157974) (-141 "CATEGORY.spad" 155715 155723 156663 156668) (-140 "CATCTOR.spad" 155606 155614 155705 155710) (-139 "CATAST.spad" 155224 155232 155596 155601) (-138 "CASEAST.spad" 154938 154946 155214 155219) (-137 "CARTEN.spad" 150305 150329 154928 154933) (-136 "CARTEN2.spad" 149695 149722 150295 150300) (-135 "CARD.spad" 146990 146998 149669 149690) (-134 "CAPSLAST.spad" 146764 146772 146980 146985) (-133 "CACHSET.spad" 146388 146396 146754 146759) (-132 "CABMON.spad" 145943 145951 146378 146383) (-131 "BYTEORD.spad" 145618 145626 145933 145938) (-130 "BYTE.spad" 145045 145053 145608 145613) (-129 "BYTEBUF.spad" 142743 142751 144053 144080) (-128 "BTREE.spad" 141699 141709 142233 142260) (-127 "BTOURN.spad" 140587 140597 141189 141216) (-126 "BTCAT.spad" 139979 139989 140555 140582) (-125 "BTCAT.spad" 139391 139403 139969 139974) (-124 "BTAGG.spad" 138857 138865 139359 139386) (-123 "BTAGG.spad" 138343 138353 138847 138852) (-122 "BSTREE.spad" 136967 136977 137833 137860) (-121 "BRILL.spad" 135164 135175 136957 136962) (-120 "BRAGG.spad" 134104 134114 135154 135159) (-119 "BRAGG.spad" 133008 133020 134060 134065) (-118 "BPADICRT.spad" 130882 130894 131137 131230) (-117 "BPADIC.spad" 130546 130558 130808 130877) (-116 "BOUNDZRO.spad" 130202 130219 130536 130541) (-115 "BOP.spad" 125384 125392 130192 130197) (-114 "BOP1.spad" 122850 122860 125374 125379) (-113 "BOOLE.spad" 122500 122508 122840 122845) (-112 "BOOLEAN.spad" 121938 121946 122490 122495) (-111 "BMODULE.spad" 121650 121662 121906 121933) (-110 "BITS.spad" 121033 121041 121248 121275) (-109 "BINDING.spad" 120446 120454 121023 121028) (-108 "BINARY.spad" 118460 118468 118816 118909) (-107 "BGAGG.spad" 117665 117675 118440 118455) (-106 "BGAGG.spad" 116878 116890 117655 117660) (-105 "BFUNCT.spad" 116442 116450 116858 116873) (-104 "BEZOUT.spad" 115582 115609 116392 116397) (-103 "BBTREE.spad" 112310 112320 115072 115099) (-102 "BASTYPE.spad" 111982 111990 112300 112305) (-101 "BASTYPE.spad" 111652 111662 111972 111977) (-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 2292732 2292737 2292742 2292747) (-2 NIL 2292712 2292717 2292722 2292727) (-1 NIL 2292692 2292697 2292702 2292707) (0 NIL 2292672 2292677 2292682 2292687) (-1315 "ZMOD.spad" 2292481 2292494 2292610 2292667) (-1314 "ZLINDEP.spad" 2291547 2291558 2292471 2292476) (-1313 "ZDSOLVE.spad" 2281492 2281514 2291537 2291542) (-1312 "YSTREAM.spad" 2280987 2280998 2281482 2281487) (-1311 "YDIAGRAM.spad" 2280621 2280630 2280977 2280982) (-1310 "XRPOLY.spad" 2279841 2279861 2280477 2280546) (-1309 "XPR.spad" 2277636 2277649 2279559 2279658) (-1308 "XPOLY.spad" 2277191 2277202 2277492 2277561) (-1307 "XPOLYC.spad" 2276510 2276526 2277117 2277186) (-1306 "XPBWPOLY.spad" 2274947 2274967 2276290 2276359) (-1305 "XF.spad" 2273410 2273425 2274849 2274942) (-1304 "XF.spad" 2271853 2271870 2273294 2273299) (-1303 "XFALG.spad" 2268901 2268917 2271779 2271848) (-1302 "XEXPPKG.spad" 2268152 2268178 2268891 2268896) (-1301 "XDPOLY.spad" 2267766 2267782 2268008 2268077) (-1300 "XALG.spad" 2267426 2267437 2267722 2267761) (-1299 "WUTSET.spad" 2263229 2263246 2267036 2267063) (-1298 "WP.spad" 2262428 2262472 2263087 2263154) (-1297 "WHILEAST.spad" 2262226 2262235 2262418 2262423) (-1296 "WHEREAST.spad" 2261897 2261906 2262216 2262221) (-1295 "WFFINTBS.spad" 2259560 2259582 2261887 2261892) (-1294 "WEIER.spad" 2257782 2257793 2259550 2259555) (-1293 "VSPACE.spad" 2257455 2257466 2257750 2257777) (-1292 "VSPACE.spad" 2257148 2257161 2257445 2257450) (-1291 "VOID.spad" 2256825 2256834 2257138 2257143) (-1290 "VIEW.spad" 2254505 2254514 2256815 2256820) (-1289 "VIEWDEF.spad" 2249706 2249715 2254495 2254500) (-1288 "VIEW3D.spad" 2233667 2233676 2249696 2249701) (-1287 "VIEW2D.spad" 2221558 2221567 2233657 2233662) (-1286 "VECTOR.spad" 2220079 2220090 2220330 2220357) (-1285 "VECTOR2.spad" 2218718 2218731 2220069 2220074) (-1284 "VECTCAT.spad" 2216622 2216633 2218686 2218713) (-1283 "VECTCAT.spad" 2214333 2214346 2216399 2216404) (-1282 "VARIABLE.spad" 2214113 2214128 2214323 2214328) (-1281 "UTYPE.spad" 2213757 2213766 2214103 2214108) (-1280 "UTSODETL.spad" 2213052 2213076 2213713 2213718) (-1279 "UTSODE.spad" 2211268 2211288 2213042 2213047) (-1278 "UTS.spad" 2206215 2206243 2209735 2209832) (-1277 "UTSCAT.spad" 2203694 2203710 2206113 2206210) (-1276 "UTSCAT.spad" 2200817 2200835 2203238 2203243) (-1275 "UTS2.spad" 2200412 2200447 2200807 2200812) (-1274 "URAGG.spad" 2195085 2195096 2200402 2200407) (-1273 "URAGG.spad" 2189722 2189735 2195041 2195046) (-1272 "UPXSSING.spad" 2187367 2187393 2188803 2188936) (-1271 "UPXS.spad" 2184663 2184691 2185499 2185648) (-1270 "UPXSCONS.spad" 2182422 2182442 2182795 2182944) (-1269 "UPXSCCA.spad" 2180993 2181013 2182268 2182417) (-1268 "UPXSCCA.spad" 2179706 2179728 2180983 2180988) (-1267 "UPXSCAT.spad" 2178295 2178311 2179552 2179701) (-1266 "UPXS2.spad" 2177838 2177891 2178285 2178290) (-1265 "UPSQFREE.spad" 2176252 2176266 2177828 2177833) (-1264 "UPSCAT.spad" 2174039 2174063 2176150 2176247) (-1263 "UPSCAT.spad" 2171532 2171558 2173645 2173650) (-1262 "UPOLYC.spad" 2166572 2166583 2171374 2171527) (-1261 "UPOLYC.spad" 2161504 2161517 2166308 2166313) (-1260 "UPOLYC2.spad" 2160975 2160994 2161494 2161499) (-1259 "UP.spad" 2158081 2158096 2158468 2158621) (-1258 "UPMP.spad" 2156981 2156994 2158071 2158076) (-1257 "UPDIVP.spad" 2156546 2156560 2156971 2156976) (-1256 "UPDECOMP.spad" 2154791 2154805 2156536 2156541) (-1255 "UPCDEN.spad" 2154000 2154016 2154781 2154786) (-1254 "UP2.spad" 2153364 2153385 2153990 2153995) (-1253 "UNISEG.spad" 2152717 2152728 2153283 2153288) (-1252 "UNISEG2.spad" 2152214 2152227 2152673 2152678) (-1251 "UNIFACT.spad" 2151317 2151329 2152204 2152209) (-1250 "ULS.spad" 2141101 2141129 2142046 2142475) (-1249 "ULSCONS.spad" 2132235 2132255 2132605 2132754) (-1248 "ULSCCAT.spad" 2129972 2129992 2132081 2132230) (-1247 "ULSCCAT.spad" 2127817 2127839 2129928 2129933) (-1246 "ULSCAT.spad" 2126049 2126065 2127663 2127812) (-1245 "ULS2.spad" 2125563 2125616 2126039 2126044) (-1244 "UINT8.spad" 2125440 2125449 2125553 2125558) (-1243 "UINT64.spad" 2125316 2125325 2125430 2125435) (-1242 "UINT32.spad" 2125192 2125201 2125306 2125311) (-1241 "UINT16.spad" 2125068 2125077 2125182 2125187) (-1240 "UFD.spad" 2124133 2124142 2124994 2125063) (-1239 "UFD.spad" 2123260 2123271 2124123 2124128) (-1238 "UDVO.spad" 2122141 2122150 2123250 2123255) (-1237 "UDPO.spad" 2119634 2119645 2122097 2122102) (-1236 "TYPE.spad" 2119566 2119575 2119624 2119629) (-1235 "TYPEAST.spad" 2119485 2119494 2119556 2119561) (-1234 "TWOFACT.spad" 2118137 2118152 2119475 2119480) (-1233 "TUPLE.spad" 2117623 2117634 2118036 2118041) (-1232 "TUBETOOL.spad" 2114490 2114499 2117613 2117618) (-1231 "TUBE.spad" 2113137 2113154 2114480 2114485) (-1230 "TS.spad" 2111736 2111752 2112702 2112799) (-1229 "TSETCAT.spad" 2098863 2098880 2111704 2111731) (-1228 "TSETCAT.spad" 2085976 2085995 2098819 2098824) (-1227 "TRMANIP.spad" 2080342 2080359 2085682 2085687) (-1226 "TRIMAT.spad" 2079305 2079330 2080332 2080337) (-1225 "TRIGMNIP.spad" 2077832 2077849 2079295 2079300) (-1224 "TRIGCAT.spad" 2077344 2077353 2077822 2077827) (-1223 "TRIGCAT.spad" 2076854 2076865 2077334 2077339) (-1222 "TREE.spad" 2075312 2075323 2076344 2076371) (-1221 "TRANFUN.spad" 2075151 2075160 2075302 2075307) (-1220 "TRANFUN.spad" 2074988 2074999 2075141 2075146) (-1219 "TOPSP.spad" 2074662 2074671 2074978 2074983) (-1218 "TOOLSIGN.spad" 2074325 2074336 2074652 2074657) (-1217 "TEXTFILE.spad" 2072886 2072895 2074315 2074320) (-1216 "TEX.spad" 2070032 2070041 2072876 2072881) (-1215 "TEX1.spad" 2069588 2069599 2070022 2070027) (-1214 "TEMUTL.spad" 2069143 2069152 2069578 2069583) (-1213 "TBCMPPK.spad" 2067236 2067259 2069133 2069138) (-1212 "TBAGG.spad" 2066286 2066309 2067216 2067231) (-1211 "TBAGG.spad" 2065344 2065369 2066276 2066281) (-1210 "TANEXP.spad" 2064752 2064763 2065334 2065339) (-1209 "TALGOP.spad" 2064476 2064487 2064742 2064747) (-1208 "TABLE.spad" 2062445 2062468 2062715 2062742) (-1207 "TABLEAU.spad" 2061926 2061937 2062435 2062440) (-1206 "TABLBUMP.spad" 2058729 2058740 2061916 2061921) (-1205 "SYSTEM.spad" 2057957 2057966 2058719 2058724) (-1204 "SYSSOLP.spad" 2055440 2055451 2057947 2057952) (-1203 "SYSPTR.spad" 2055339 2055348 2055430 2055435) (-1202 "SYSNNI.spad" 2054521 2054532 2055329 2055334) (-1201 "SYSINT.spad" 2053925 2053936 2054511 2054516) (-1200 "SYNTAX.spad" 2050131 2050140 2053915 2053920) (-1199 "SYMTAB.spad" 2048199 2048208 2050121 2050126) (-1198 "SYMS.spad" 2044222 2044231 2048189 2048194) (-1197 "SYMPOLY.spad" 2043229 2043240 2043311 2043438) (-1196 "SYMFUNC.spad" 2042730 2042741 2043219 2043224) (-1195 "SYMBOL.spad" 2040233 2040242 2042720 2042725) (-1194 "SWITCH.spad" 2037004 2037013 2040223 2040228) (-1193 "SUTS.spad" 2034052 2034080 2035471 2035568) (-1192 "SUPXS.spad" 2031335 2031363 2032184 2032333) (-1191 "SUP.spad" 2028055 2028066 2028828 2028981) (-1190 "SUPFRACF.spad" 2027160 2027178 2028045 2028050) (-1189 "SUP2.spad" 2026552 2026565 2027150 2027155) (-1188 "SUMRF.spad" 2025526 2025537 2026542 2026547) (-1187 "SUMFS.spad" 2025163 2025180 2025516 2025521) (-1186 "SULS.spad" 2014934 2014962 2015892 2016321) (-1185 "SUCHTAST.spad" 2014703 2014712 2014924 2014929) (-1184 "SUCH.spad" 2014385 2014400 2014693 2014698) (-1183 "SUBSPACE.spad" 2006500 2006515 2014375 2014380) (-1182 "SUBRESP.spad" 2005670 2005684 2006456 2006461) (-1181 "STTF.spad" 2001769 2001785 2005660 2005665) (-1180 "STTFNC.spad" 1998237 1998253 2001759 2001764) (-1179 "STTAYLOR.spad" 1990872 1990883 1998118 1998123) (-1178 "STRTBL.spad" 1988923 1988940 1989072 1989099) (-1177 "STRING.spad" 1987710 1987719 1987931 1987958) (-1176 "STREAM.spad" 1984511 1984522 1987118 1987133) (-1175 "STREAM3.spad" 1984084 1984099 1984501 1984506) (-1174 "STREAM2.spad" 1983212 1983225 1984074 1984079) (-1173 "STREAM1.spad" 1982918 1982929 1983202 1983207) (-1172 "STINPROD.spad" 1981854 1981870 1982908 1982913) (-1171 "STEP.spad" 1981055 1981064 1981844 1981849) (-1170 "STEPAST.spad" 1980289 1980298 1981045 1981050) (-1169 "STBL.spad" 1978373 1978401 1978540 1978555) (-1168 "STAGG.spad" 1977448 1977459 1978363 1978368) (-1167 "STAGG.spad" 1976521 1976534 1977438 1977443) (-1166 "STACK.spad" 1975761 1975772 1976011 1976038) (-1165 "SREGSET.spad" 1973429 1973446 1975371 1975398) (-1164 "SRDCMPK.spad" 1971990 1972010 1973419 1973424) (-1163 "SRAGG.spad" 1967133 1967142 1971958 1971985) (-1162 "SRAGG.spad" 1962296 1962307 1967123 1967128) (-1161 "SQMATRIX.spad" 1959839 1959857 1960755 1960842) (-1160 "SPLTREE.spad" 1954235 1954248 1959119 1959146) (-1159 "SPLNODE.spad" 1950823 1950836 1954225 1954230) (-1158 "SPFCAT.spad" 1949632 1949641 1950813 1950818) (-1157 "SPECOUT.spad" 1948184 1948193 1949622 1949627) (-1156 "SPADXPT.spad" 1939779 1939788 1948174 1948179) (-1155 "spad-parser.spad" 1939244 1939253 1939769 1939774) (-1154 "SPADAST.spad" 1938945 1938954 1939234 1939239) (-1153 "SPACEC.spad" 1923144 1923155 1938935 1938940) (-1152 "SPACE3.spad" 1922920 1922931 1923134 1923139) (-1151 "SORTPAK.spad" 1922469 1922482 1922876 1922881) (-1150 "SOLVETRA.spad" 1920232 1920243 1922459 1922464) (-1149 "SOLVESER.spad" 1918760 1918771 1920222 1920227) (-1148 "SOLVERAD.spad" 1914786 1914797 1918750 1918755) (-1147 "SOLVEFOR.spad" 1913248 1913266 1914776 1914781) (-1146 "SNTSCAT.spad" 1912848 1912865 1913216 1913243) (-1145 "SMTS.spad" 1911120 1911146 1912413 1912510) (-1144 "SMP.spad" 1908595 1908615 1908985 1909112) (-1143 "SMITH.spad" 1907440 1907465 1908585 1908590) (-1142 "SMATCAT.spad" 1905550 1905580 1907384 1907435) (-1141 "SMATCAT.spad" 1903592 1903624 1905428 1905433) (-1140 "SKAGG.spad" 1902555 1902566 1903560 1903587) (-1139 "SINT.spad" 1901495 1901504 1902421 1902550) (-1138 "SIMPAN.spad" 1901223 1901232 1901485 1901490) (-1137 "SIG.spad" 1900553 1900562 1901213 1901218) (-1136 "SIGNRF.spad" 1899671 1899682 1900543 1900548) (-1135 "SIGNEF.spad" 1898950 1898967 1899661 1899666) (-1134 "SIGAST.spad" 1898335 1898344 1898940 1898945) (-1133 "SHP.spad" 1896263 1896278 1898291 1898296) (-1132 "SHDP.spad" 1883941 1883968 1884450 1884549) (-1131 "SGROUP.spad" 1883549 1883558 1883931 1883936) (-1130 "SGROUP.spad" 1883155 1883166 1883539 1883544) (-1129 "SGCF.spad" 1876294 1876303 1883145 1883150) (-1128 "SFRTCAT.spad" 1875224 1875241 1876262 1876289) (-1127 "SFRGCD.spad" 1874287 1874307 1875214 1875219) (-1126 "SFQCMPK.spad" 1868924 1868944 1874277 1874282) (-1125 "SFORT.spad" 1868363 1868377 1868914 1868919) (-1124 "SEXOF.spad" 1868206 1868246 1868353 1868358) (-1123 "SEX.spad" 1868098 1868107 1868196 1868201) (-1122 "SEXCAT.spad" 1865870 1865910 1868088 1868093) (-1121 "SET.spad" 1864158 1864169 1865255 1865294) (-1120 "SETMN.spad" 1862608 1862625 1864148 1864153) (-1119 "SETCAT.spad" 1861930 1861939 1862598 1862603) (-1118 "SETCAT.spad" 1861250 1861261 1861920 1861925) (-1117 "SETAGG.spad" 1857799 1857810 1861230 1861245) (-1116 "SETAGG.spad" 1854356 1854369 1857789 1857794) (-1115 "SEQAST.spad" 1854059 1854068 1854346 1854351) (-1114 "SEGXCAT.spad" 1853215 1853228 1854049 1854054) (-1113 "SEG.spad" 1853028 1853039 1853134 1853139) (-1112 "SEGCAT.spad" 1851953 1851964 1853018 1853023) (-1111 "SEGBIND.spad" 1851711 1851722 1851900 1851905) (-1110 "SEGBIND2.spad" 1851409 1851422 1851701 1851706) (-1109 "SEGAST.spad" 1851123 1851132 1851399 1851404) (-1108 "SEG2.spad" 1850558 1850571 1851079 1851084) (-1107 "SDVAR.spad" 1849834 1849845 1850548 1850553) (-1106 "SDPOL.spad" 1847167 1847178 1847458 1847585) (-1105 "SCPKG.spad" 1845256 1845267 1847157 1847162) (-1104 "SCOPE.spad" 1844409 1844418 1845246 1845251) (-1103 "SCACHE.spad" 1843105 1843116 1844399 1844404) (-1102 "SASTCAT.spad" 1843014 1843023 1843095 1843100) (-1101 "SAOS.spad" 1842886 1842895 1843004 1843009) (-1100 "SAERFFC.spad" 1842599 1842619 1842876 1842881) (-1099 "SAE.spad" 1840069 1840085 1840680 1840815) (-1098 "SAEFACT.spad" 1839770 1839790 1840059 1840064) (-1097 "RURPK.spad" 1837429 1837445 1839760 1839765) (-1096 "RULESET.spad" 1836882 1836906 1837419 1837424) (-1095 "RULE.spad" 1835122 1835146 1836872 1836877) (-1094 "RULECOLD.spad" 1834974 1834987 1835112 1835117) (-1093 "RTVALUE.spad" 1834709 1834718 1834964 1834969) (-1092 "RSTRCAST.spad" 1834426 1834435 1834699 1834704) (-1091 "RSETGCD.spad" 1830804 1830824 1834416 1834421) (-1090 "RSETCAT.spad" 1820740 1820757 1830772 1830799) (-1089 "RSETCAT.spad" 1810696 1810715 1820730 1820735) (-1088 "RSDCMPK.spad" 1809148 1809168 1810686 1810691) (-1087 "RRCC.spad" 1807532 1807562 1809138 1809143) (-1086 "RRCC.spad" 1805914 1805946 1807522 1807527) (-1085 "RPTAST.spad" 1805616 1805625 1805904 1805909) (-1084 "RPOLCAT.spad" 1784976 1784991 1805484 1805611) (-1083 "RPOLCAT.spad" 1764049 1764066 1784559 1784564) (-1082 "ROUTINE.spad" 1759470 1759479 1762234 1762261) (-1081 "ROMAN.spad" 1758798 1758807 1759336 1759465) (-1080 "ROIRC.spad" 1757878 1757910 1758788 1758793) (-1079 "RNS.spad" 1756781 1756790 1757780 1757873) (-1078 "RNS.spad" 1755770 1755781 1756771 1756776) (-1077 "RNG.spad" 1755505 1755514 1755760 1755765) (-1076 "RNGBIND.spad" 1754665 1754679 1755460 1755465) (-1075 "RMODULE.spad" 1754430 1754441 1754655 1754660) (-1074 "RMCAT2.spad" 1753850 1753907 1754420 1754425) (-1073 "RMATRIX.spad" 1752638 1752657 1752981 1753020) (-1072 "RMATCAT.spad" 1748217 1748248 1752594 1752633) (-1071 "RMATCAT.spad" 1743686 1743719 1748065 1748070) (-1070 "RLINSET.spad" 1743390 1743401 1743676 1743681) (-1069 "RINTERP.spad" 1743278 1743298 1743380 1743385) (-1068 "RING.spad" 1742748 1742757 1743258 1743273) (-1067 "RING.spad" 1742226 1742237 1742738 1742743) (-1066 "RIDIST.spad" 1741618 1741627 1742216 1742221) (-1065 "RGCHAIN.spad" 1740146 1740162 1741048 1741075) (-1064 "RGBCSPC.spad" 1739927 1739939 1740136 1740141) (-1063 "RGBCMDL.spad" 1739457 1739469 1739917 1739922) (-1062 "RF.spad" 1737099 1737110 1739447 1739452) (-1061 "RFFACTOR.spad" 1736561 1736572 1737089 1737094) (-1060 "RFFACT.spad" 1736296 1736308 1736551 1736556) (-1059 "RFDIST.spad" 1735292 1735301 1736286 1736291) (-1058 "RETSOL.spad" 1734711 1734724 1735282 1735287) (-1057 "RETRACT.spad" 1734139 1734150 1734701 1734706) (-1056 "RETRACT.spad" 1733565 1733578 1734129 1734134) (-1055 "RETAST.spad" 1733377 1733386 1733555 1733560) (-1054 "RESULT.spad" 1730975 1730984 1731562 1731589) (-1053 "RESRING.spad" 1730322 1730369 1730913 1730970) (-1052 "RESLATC.spad" 1729646 1729657 1730312 1730317) (-1051 "REPSQ.spad" 1729377 1729388 1729636 1729641) (-1050 "REP.spad" 1726931 1726940 1729367 1729372) (-1049 "REPDB.spad" 1726638 1726649 1726921 1726926) (-1048 "REP2.spad" 1716296 1716307 1726480 1726485) (-1047 "REP1.spad" 1710492 1710503 1716246 1716251) (-1046 "REGSET.spad" 1708253 1708270 1710102 1710129) (-1045 "REF.spad" 1707588 1707599 1708208 1708213) (-1044 "REDORDER.spad" 1706794 1706811 1707578 1707583) (-1043 "RECLOS.spad" 1705577 1705597 1706281 1706374) (-1042 "REALSOLV.spad" 1704717 1704726 1705567 1705572) (-1041 "REAL.spad" 1704589 1704598 1704707 1704712) (-1040 "REAL0Q.spad" 1701887 1701902 1704579 1704584) (-1039 "REAL0.spad" 1698731 1698746 1701877 1701882) (-1038 "RDUCEAST.spad" 1698452 1698461 1698721 1698726) (-1037 "RDIV.spad" 1698107 1698132 1698442 1698447) (-1036 "RDIST.spad" 1697674 1697685 1698097 1698102) (-1035 "RDETRS.spad" 1696538 1696556 1697664 1697669) (-1034 "RDETR.spad" 1694677 1694695 1696528 1696533) (-1033 "RDEEFS.spad" 1693776 1693793 1694667 1694672) (-1032 "RDEEF.spad" 1692786 1692803 1693766 1693771) (-1031 "RCFIELD.spad" 1689972 1689981 1692688 1692781) (-1030 "RCFIELD.spad" 1687244 1687255 1689962 1689967) (-1029 "RCAGG.spad" 1685172 1685183 1687234 1687239) (-1028 "RCAGG.spad" 1683027 1683040 1685091 1685096) (-1027 "RATRET.spad" 1682387 1682398 1683017 1683022) (-1026 "RATFACT.spad" 1682079 1682091 1682377 1682382) (-1025 "RANDSRC.spad" 1681398 1681407 1682069 1682074) (-1024 "RADUTIL.spad" 1681154 1681163 1681388 1681393) (-1023 "RADIX.spad" 1677978 1677992 1679524 1679617) (-1022 "RADFF.spad" 1675717 1675754 1675836 1675992) (-1021 "RADCAT.spad" 1675312 1675321 1675707 1675712) (-1020 "RADCAT.spad" 1674905 1674916 1675302 1675307) (-1019 "QUEUE.spad" 1674136 1674147 1674395 1674422) (-1018 "QUAT.spad" 1672624 1672635 1672967 1673032) (-1017 "QUATCT2.spad" 1672244 1672263 1672614 1672619) (-1016 "QUATCAT.spad" 1670414 1670425 1672174 1672239) (-1015 "QUATCAT.spad" 1668335 1668348 1670097 1670102) (-1014 "QUAGG.spad" 1667162 1667173 1668303 1668330) (-1013 "QQUTAST.spad" 1666930 1666939 1667152 1667157) (-1012 "QFORM.spad" 1666548 1666563 1666920 1666925) (-1011 "QFCAT.spad" 1665250 1665261 1666450 1666543) (-1010 "QFCAT.spad" 1663543 1663556 1664745 1664750) (-1009 "QFCAT2.spad" 1663235 1663252 1663533 1663538) (-1008 "QEQUAT.spad" 1662793 1662802 1663225 1663230) (-1007 "QCMPACK.spad" 1657539 1657559 1662783 1662788) (-1006 "QALGSET.spad" 1653617 1653650 1657453 1657458) (-1005 "QALGSET2.spad" 1651612 1651631 1653607 1653612) (-1004 "PWFFINTB.spad" 1649027 1649049 1651602 1651607) (-1003 "PUSHVAR.spad" 1648365 1648385 1649017 1649022) (-1002 "PTRANFN.spad" 1644492 1644503 1648355 1648360) (-1001 "PTPACK.spad" 1641579 1641590 1644482 1644487) (-1000 "PTFUNC2.spad" 1641401 1641416 1641569 1641574) (-999 "PTCAT.spad" 1640656 1640666 1641369 1641396) (-998 "PSQFR.spad" 1639963 1639987 1640646 1640651) (-997 "PSEUDLIN.spad" 1638849 1638859 1639953 1639958) (-996 "PSETPK.spad" 1624282 1624298 1638727 1638732) (-995 "PSETCAT.spad" 1618202 1618225 1624262 1624277) (-994 "PSETCAT.spad" 1612096 1612121 1618158 1618163) (-993 "PSCURVE.spad" 1611079 1611087 1612086 1612091) (-992 "PSCAT.spad" 1609862 1609891 1610977 1611074) (-991 "PSCAT.spad" 1608735 1608766 1609852 1609857) (-990 "PRTITION.spad" 1607433 1607441 1608725 1608730) (-989 "PRTDAST.spad" 1607152 1607160 1607423 1607428) (-988 "PRS.spad" 1596714 1596731 1607108 1607113) (-987 "PRQAGG.spad" 1596149 1596159 1596682 1596709) (-986 "PROPLOG.spad" 1595721 1595729 1596139 1596144) (-985 "PROPFUN2.spad" 1595344 1595357 1595711 1595716) (-984 "PROPFUN1.spad" 1594742 1594753 1595334 1595339) (-983 "PROPFRML.spad" 1593310 1593321 1594732 1594737) (-982 "PROPERTY.spad" 1592798 1592806 1593300 1593305) (-981 "PRODUCT.spad" 1590480 1590492 1590764 1590819) (-980 "PR.spad" 1588872 1588884 1589571 1589698) (-979 "PRINT.spad" 1588624 1588632 1588862 1588867) (-978 "PRIMES.spad" 1586877 1586887 1588614 1588619) (-977 "PRIMELT.spad" 1584958 1584972 1586867 1586872) (-976 "PRIMCAT.spad" 1584585 1584593 1584948 1584953) (-975 "PRIMARR.spad" 1583437 1583447 1583615 1583642) (-974 "PRIMARR2.spad" 1582204 1582216 1583427 1583432) (-973 "PREASSOC.spad" 1581586 1581598 1582194 1582199) (-972 "PPCURVE.spad" 1580723 1580731 1581576 1581581) (-971 "PORTNUM.spad" 1580498 1580506 1580713 1580718) (-970 "POLYROOT.spad" 1579347 1579369 1580454 1580459) (-969 "POLY.spad" 1576682 1576692 1577197 1577324) (-968 "POLYLIFT.spad" 1575947 1575970 1576672 1576677) (-967 "POLYCATQ.spad" 1574065 1574087 1575937 1575942) (-966 "POLYCAT.spad" 1567535 1567556 1573933 1574060) (-965 "POLYCAT.spad" 1560343 1560366 1566743 1566748) (-964 "POLY2UP.spad" 1559795 1559809 1560333 1560338) (-963 "POLY2.spad" 1559392 1559404 1559785 1559790) (-962 "POLUTIL.spad" 1558333 1558362 1559348 1559353) (-961 "POLTOPOL.spad" 1557081 1557096 1558323 1558328) (-960 "POINT.spad" 1555766 1555776 1555853 1555880) (-959 "PNTHEORY.spad" 1552468 1552476 1555756 1555761) (-958 "PMTOOLS.spad" 1551243 1551257 1552458 1552463) (-957 "PMSYM.spad" 1550792 1550802 1551233 1551238) (-956 "PMQFCAT.spad" 1550383 1550397 1550782 1550787) (-955 "PMPRED.spad" 1549862 1549876 1550373 1550378) (-954 "PMPREDFS.spad" 1549316 1549338 1549852 1549857) (-953 "PMPLCAT.spad" 1548396 1548414 1549248 1549253) (-952 "PMLSAGG.spad" 1547981 1547995 1548386 1548391) (-951 "PMKERNEL.spad" 1547560 1547572 1547971 1547976) (-950 "PMINS.spad" 1547140 1547150 1547550 1547555) (-949 "PMFS.spad" 1546717 1546735 1547130 1547135) (-948 "PMDOWN.spad" 1546007 1546021 1546707 1546712) (-947 "PMASS.spad" 1545017 1545025 1545997 1546002) (-946 "PMASSFS.spad" 1543984 1544000 1545007 1545012) (-945 "PLOTTOOL.spad" 1543764 1543772 1543974 1543979) (-944 "PLOT.spad" 1538687 1538695 1543754 1543759) (-943 "PLOT3D.spad" 1535151 1535159 1538677 1538682) (-942 "PLOT1.spad" 1534308 1534318 1535141 1535146) (-941 "PLEQN.spad" 1521598 1521625 1534298 1534303) (-940 "PINTERP.spad" 1521220 1521239 1521588 1521593) (-939 "PINTERPA.spad" 1521004 1521020 1521210 1521215) (-938 "PI.spad" 1520613 1520621 1520978 1520999) (-937 "PID.spad" 1519583 1519591 1520539 1520608) (-936 "PICOERCE.spad" 1519240 1519250 1519573 1519578) (-935 "PGROEB.spad" 1517841 1517855 1519230 1519235) (-934 "PGE.spad" 1509458 1509466 1517831 1517836) (-933 "PGCD.spad" 1508348 1508365 1509448 1509453) (-932 "PFRPAC.spad" 1507497 1507507 1508338 1508343) (-931 "PFR.spad" 1504160 1504170 1507399 1507492) (-930 "PFOTOOLS.spad" 1503418 1503434 1504150 1504155) (-929 "PFOQ.spad" 1502788 1502806 1503408 1503413) (-928 "PFO.spad" 1502207 1502234 1502778 1502783) (-927 "PF.spad" 1501781 1501793 1502012 1502105) (-926 "PFECAT.spad" 1499463 1499471 1501707 1501776) (-925 "PFECAT.spad" 1497173 1497183 1499419 1499424) (-924 "PFBRU.spad" 1495061 1495073 1497163 1497168) (-923 "PFBR.spad" 1492621 1492644 1495051 1495056) (-922 "PERM.spad" 1488428 1488438 1492451 1492466) (-921 "PERMGRP.spad" 1483198 1483208 1488418 1488423) (-920 "PERMCAT.spad" 1481859 1481869 1483178 1483193) (-919 "PERMAN.spad" 1480391 1480405 1481849 1481854) (-918 "PENDTREE.spad" 1479615 1479625 1479903 1479908) (-917 "PDSPC.spad" 1478428 1478438 1479605 1479610) (-916 "PDSPC.spad" 1477239 1477251 1478418 1478423) (-915 "PDRING.spad" 1477081 1477091 1477219 1477234) (-914 "PDMOD.spad" 1476897 1476909 1477049 1477076) (-913 "PDEPROB.spad" 1475912 1475920 1476887 1476892) (-912 "PDEPACK.spad" 1469952 1469960 1475902 1475907) (-911 "PDECOMP.spad" 1469422 1469439 1469942 1469947) (-910 "PDECAT.spad" 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383365) (-279 "E04GCFA.spad" 382442 382450 382896 382901) (-278 "E04FDFA.spad" 381978 381986 382432 382437) (-277 "E04DGFA.spad" 381514 381522 381968 381973) (-276 "E04AGNT.spad" 377364 377372 381504 381509) (-275 "DVARCAT.spad" 374254 374264 377354 377359) (-274 "DVARCAT.spad" 371142 371154 374244 374249) (-273 "DSMP.spad" 368516 368530 368821 368948) (-272 "DSEXT.spad" 367818 367828 368506 368511) (-271 "DSEXT.spad" 367027 367039 367717 367722) (-270 "DROPT.spad" 360986 360994 367017 367022) (-269 "DROPT1.spad" 360651 360661 360976 360981) (-268 "DROPT0.spad" 355508 355516 360641 360646) (-267 "DRAWPT.spad" 353681 353689 355498 355503) (-266 "DRAW.spad" 346557 346570 353671 353676) (-265 "DRAWHACK.spad" 345865 345875 346547 346552) (-264 "DRAWCX.spad" 343335 343343 345855 345860) (-263 "DRAWCURV.spad" 342882 342897 343325 343330) (-262 "DRAWCFUN.spad" 332414 332422 342872 342877) (-261 "DQAGG.spad" 330592 330602 332382 332409) (-260 "DPOLCAT.spad" 325941 325957 330460 330587) (-259 "DPOLCAT.spad" 321376 321394 325897 325902) (-258 "DPMO.spad" 313136 313152 313274 313487) (-257 "DPMM.spad" 304909 304927 305034 305247) (-256 "DOMTMPLT.spad" 304680 304688 304899 304904) (-255 "DOMCTOR.spad" 304435 304443 304670 304675) (-254 "DOMAIN.spad" 303522 303530 304425 304430) (-253 "DMP.spad" 300782 300797 301352 301479) (-252 "DMEXT.spad" 300649 300659 300750 300777) (-251 "DLP.spad" 300001 300011 300639 300644) (-250 "DLIST.spad" 298427 298437 299031 299058) (-249 "DLAGG.spad" 296844 296854 298417 298422) (-248 "DIVRING.spad" 296386 296394 296788 296839) (-247 "DIVRING.spad" 295972 295982 296376 296381) (-246 "DISPLAY.spad" 294162 294170 295962 295967) (-245 "DIRPROD.spad" 281709 281725 282349 282448) (-244 "DIRPROD2.spad" 280527 280545 281699 281704) (-243 "DIRPCAT.spad" 279720 279736 280423 280522) (-242 "DIRPCAT.spad" 278540 278558 279245 279250) (-241 "DIOSP.spad" 277365 277373 278530 278535) (-240 "DIOPS.spad" 276361 276371 277345 277360) (-239 "DIOPS.spad" 275331 275343 276317 276322) (-238 "DIFRING.spad" 275169 275177 275311 275326) (-237 "DIFFSPC.spad" 274748 274756 275159 275164) (-236 "DIFFSPC.spad" 274325 274335 274738 274743) (-235 "DIFFMOD.spad" 273814 273824 274293 274320) (-234 "DIFFDOM.spad" 272979 272990 273804 273809) (-233 "DIFFDOM.spad" 272142 272155 272969 272974) (-232 "DIFEXT.spad" 271961 271971 272122 272137) (-231 "DIAGG.spad" 271591 271601 271941 271956) (-230 "DIAGG.spad" 271229 271241 271581 271586) (-229 "DHMATRIX.spad" 269424 269434 270569 270596) (-228 "DFSFUN.spad" 263064 263072 269414 269419) (-227 "DFLOAT.spad" 259795 259803 262954 263059) (-226 "DFINTTLS.spad" 258026 258042 259785 259790) (-225 "DERHAM.spad" 255940 255972 258006 258021) (-224 "DEQUEUE.spad" 255147 255157 255430 255457) (-223 "DEGRED.spad" 254764 254778 255137 255142) (-222 "DEFINTRF.spad" 252301 252311 254754 254759) (-221 "DEFINTEF.spad" 250811 250827 252291 252296) (-220 "DEFAST.spad" 250179 250187 250801 250806) (-219 "DECIMAL.spad" 248188 248196 248549 248642) (-218 "DDFACT.spad" 246001 246018 248178 248183) (-217 "DBLRESP.spad" 245601 245625 245991 245996) (-216 "DBASE.spad" 244265 244275 245591 245596) (-215 "DATAARY.spad" 243727 243740 244255 244260) (-214 "D03FAFA.spad" 243555 243563 243717 243722) (-213 "D03EEFA.spad" 243375 243383 243545 243550) (-212 "D03AGNT.spad" 242461 242469 243365 243370) (-211 "D02EJFA.spad" 241923 241931 242451 242456) (-210 "D02CJFA.spad" 241401 241409 241913 241918) (-209 "D02BHFA.spad" 240891 240899 241391 241396) (-208 "D02BBFA.spad" 240381 240389 240881 240886) (-207 "D02AGNT.spad" 235195 235203 240371 240376) (-206 "D01WGTS.spad" 233514 233522 235185 235190) (-205 "D01TRNS.spad" 233491 233499 233504 233509) (-204 "D01GBFA.spad" 233013 233021 233481 233486) (-203 "D01FCFA.spad" 232535 232543 233003 233008) (-202 "D01ASFA.spad" 232003 232011 232525 232530) (-201 "D01AQFA.spad" 231449 231457 231993 231998) (-200 "D01APFA.spad" 230873 230881 231439 231444) (-199 "D01ANFA.spad" 230367 230375 230863 230868) (-198 "D01AMFA.spad" 229877 229885 230357 230362) (-197 "D01ALFA.spad" 229417 229425 229867 229872) (-196 "D01AKFA.spad" 228943 228951 229407 229412) (-195 "D01AJFA.spad" 228466 228474 228933 228938) (-194 "D01AGNT.spad" 224533 224541 228456 228461) (-193 "CYCLOTOM.spad" 224039 224047 224523 224528) (-192 "CYCLES.spad" 220831 220839 224029 224034) (-191 "CVMP.spad" 220248 220258 220821 220826) (-190 "CTRIGMNP.spad" 218748 218764 220238 220243) (-189 "CTOR.spad" 218439 218447 218738 218743) (-188 "CTORKIND.spad" 218042 218050 218429 218434) (-187 "CTORCAT.spad" 217291 217299 218032 218037) (-186 "CTORCAT.spad" 216538 216548 217281 217286) (-185 "CTORCALL.spad" 216127 216137 216528 216533) (-184 "CSTTOOLS.spad" 215372 215385 216117 216122) (-183 "CRFP.spad" 209096 209109 215362 215367) (-182 "CRCEAST.spad" 208816 208824 209086 209091) (-181 "CRAPACK.spad" 207867 207877 208806 208811) (-180 "CPMATCH.spad" 207371 207386 207792 207797) (-179 "CPIMA.spad" 207076 207095 207361 207366) (-178 "COORDSYS.spad" 202085 202095 207066 207071) (-177 "CONTOUR.spad" 201496 201504 202075 202080) (-176 "CONTFRAC.spad" 197246 197256 201398 201491) (-175 "CONDUIT.spad" 197004 197012 197236 197241) (-174 "COMRING.spad" 196678 196686 196942 196999) (-173 "COMPPROP.spad" 196196 196204 196668 196673) (-172 "COMPLPAT.spad" 195963 195978 196186 196191) (-171 "COMPLEX.spad" 191340 191350 191584 191845) (-170 "COMPLEX2.spad" 191055 191067 191330 191335) (-169 "COMPILER.spad" 190604 190612 191045 191050) (-168 "COMPFACT.spad" 190206 190220 190594 190599) (-167 "COMPCAT.spad" 188278 188288 189940 190201) (-166 "COMPCAT.spad" 186078 186090 187742 187747) (-165 "COMMUPC.spad" 185826 185844 186068 186073) (-164 "COMMONOP.spad" 185359 185367 185816 185821) (-163 "COMM.spad" 185170 185178 185349 185354) (-162 "COMMAAST.spad" 184933 184941 185160 185165) (-161 "COMBOPC.spad" 183848 183856 184923 184928) (-160 "COMBINAT.spad" 182615 182625 183838 183843) (-159 "COMBF.spad" 179997 180013 182605 182610) (-158 "COLOR.spad" 178834 178842 179987 179992) (-157 "COLONAST.spad" 178500 178508 178824 178829) (-156 "CMPLXRT.spad" 178211 178228 178490 178495) (-155 "CLLCTAST.spad" 177873 177881 178201 178206) (-154 "CLIP.spad" 173981 173989 177863 177868) (-153 "CLIF.spad" 172636 172652 173937 173976) (-152 "CLAGG.spad" 169141 169151 172626 172631) (-151 "CLAGG.spad" 165517 165529 169004 169009) (-150 "CINTSLPE.spad" 164848 164861 165507 165512) (-149 "CHVAR.spad" 162986 163008 164838 164843) (-148 "CHARZ.spad" 162901 162909 162966 162981) (-147 "CHARPOL.spad" 162411 162421 162891 162896) (-146 "CHARNZ.spad" 162164 162172 162391 162406) (-145 "CHAR.spad" 160038 160046 162154 162159) (-144 "CFCAT.spad" 159366 159374 160028 160033) (-143 "CDEN.spad" 158562 158576 159356 159361) (-142 "CCLASS.spad" 156673 156681 157935 157974) (-141 "CATEGORY.spad" 155715 155723 156663 156668) (-140 "CATCTOR.spad" 155606 155614 155705 155710) (-139 "CATAST.spad" 155224 155232 155596 155601) (-138 "CASEAST.spad" 154938 154946 155214 155219) (-137 "CARTEN.spad" 150305 150329 154928 154933) (-136 "CARTEN2.spad" 149695 149722 150295 150300) (-135 "CARD.spad" 146990 146998 149669 149690) (-134 "CAPSLAST.spad" 146764 146772 146980 146985) (-133 "CACHSET.spad" 146388 146396 146754 146759) (-132 "CABMON.spad" 145943 145951 146378 146383) (-131 "BYTEORD.spad" 145618 145626 145933 145938) (-130 "BYTE.spad" 145045 145053 145608 145613) (-129 "BYTEBUF.spad" 142743 142751 144053 144080) (-128 "BTREE.spad" 141699 141709 142233 142260) (-127 "BTOURN.spad" 140587 140597 141189 141216) (-126 "BTCAT.spad" 139979 139989 140555 140582) (-125 "BTCAT.spad" 139391 139403 139969 139974) (-124 "BTAGG.spad" 138857 138865 139359 139386) (-123 "BTAGG.spad" 138343 138353 138847 138852) (-122 "BSTREE.spad" 136967 136977 137833 137860) (-121 "BRILL.spad" 135164 135175 136957 136962) (-120 "BRAGG.spad" 134104 134114 135154 135159) (-119 "BRAGG.spad" 133008 133020 134060 134065) (-118 "BPADICRT.spad" 130882 130894 131137 131230) (-117 "BPADIC.spad" 130546 130558 130808 130877) (-116 "BOUNDZRO.spad" 130202 130219 130536 130541) (-115 "BOP.spad" 125384 125392 130192 130197) (-114 "BOP1.spad" 122850 122860 125374 125379) (-113 "BOOLE.spad" 122500 122508 122840 122845) (-112 "BOOLEAN.spad" 121938 121946 122490 122495) (-111 "BMODULE.spad" 121650 121662 121906 121933) (-110 "BITS.spad" 121033 121041 121248 121275) (-109 "BINDING.spad" 120446 120454 121023 121028) (-108 "BINARY.spad" 118460 118468 118816 118909) (-107 "BGAGG.spad" 117665 117675 118440 118455) (-106 "BGAGG.spad" 116878 116890 117655 117660) (-105 "BFUNCT.spad" 116442 116450 116858 116873) (-104 "BEZOUT.spad" 115582 115609 116392 116397) (-103 "BBTREE.spad" 112310 112320 115072 115099) (-102 "BASTYPE.spad" 111982 111990 112300 112305) (-101 "BASTYPE.spad" 111652 111662 111972 111977) (-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