* algebra/net.spad.pamphlet (readBytes!$InputByteConduit): Set

length of buffer to count of bytes read. * algebra/si.spad.pamphlet (SingleInteger): Now formally subdomain of Integer.
author: dos-reis <gdr@axiomatics.org> 2008-12-27 02:20:07 +0000
committer: dos-reis <gdr@axiomatics.org> 2008-12-27 02:20:07 +0000
commit: fdc64c2abcdf53d9afee4541503d1d17763ee92c (patch)
tree: f15a829314e96145be04e1eeeee3a16049faa572 /src/share/algebra/browse.daase
parent: fb209a840dc764bdfa285ad3cb7575df21a43289 (diff)
download: open-axiom-fdc64c2abcdf53d9afee4541503d1d17763ee92c.tar.gz
1 files changed, 53 insertions, 53 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index a7c64f02..6c7b2a3f 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
 
-(2276857 . 3439227043)       
+(2276957 . 3439324113)       
 (-18 A S) 
 ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) 
 NIL 
@@ -88,7 +88,7 @@ NIL
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{} [a1,{}...,{}an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an."))) 
 NIL 
 NIL 
-(-40 -3215 UP UPUP -2985) 
+(-40 -3215 UP UPUP -4362) 
 ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) 
 ((-4375 |has| (-406 |#2|) (-362)) (-4380 |has| (-406 |#2|) (-362)) (-4374 |has| (-406 |#2|) (-362)) ((-4384 "*") . T) (-4376 . T) (-4377 . T) (-4379 . T)) 
 ((|HasCategory| (-406 |#2|) (QUOTE (-144))) (|HasCategory| (-406 |#2|) (QUOTE (-146))) (|HasCategory| (-406 |#2|) (QUOTE (-348))) (-3998 (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-367))) (-3998 (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (-3998 (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-348))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -631) (QUOTE (-558)))) (-3998 (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-367))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362))))) 
@@ -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}."))) 
 ((-4382 . T) (-4383 . T)) 
 ((-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1087))) (-3998 (-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) 
-(-61 -1323) 
+(-61 -1324) 
 ((|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 -1323) 
+(-62 -1324) 
 ((|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 -1323) 
+(-63 -1324) 
 ((|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 -1323) 
+(-64 -1324) 
 ((|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 -1323) 
+(-65 -1324) 
 ((|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 -1323) 
+(-66 -1324) 
 ((|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 -1323) 
+(-67 -1324) 
 ((|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 -1323) 
+(-68 -1324) 
 ((|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 -1323) 
+(-69 -1324) 
 ((|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 -1323) 
+(-70 -1324) 
 ((|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 -1323) 
+(-71 -1324) 
 ((|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 -1323) 
+(-72 -1324) 
 ((|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 -1323) 
+(-73 -1324) 
 ((|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 -1323) 
+(-74 -1324) 
 ((|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 -1323) 
+(-77 -1324) 
 ((|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 -1323) 
+(-78 -1324) 
 ((|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 -1323) 
+(-79 -1324) 
 ((|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 -1323) 
+(-80 -1324) 
 ((|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 -1323) 
+(-81 -1324) 
 ((|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 -1323) 
+(-82 -1324) 
 ((|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 -1323) 
+(-83 -1324) 
 ((|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 -1323) 
+(-84 -1324) 
 ((|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 -1323) 
+(-85 -1324) 
 ((|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 -1323) 
+(-86 -1324) 
 ((|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 -1323) 
+(-87 -1324) 
 ((|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 -1323) 
+(-88 -1324) 
 ((|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 -1323) 
+(-89 -1324) 
 ((|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 
@@ -441,7 +441,7 @@ NIL
 ((-4382 . T) (-4383 . T)) 
 ((-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1087))) (-3998 (-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) 
 (-128) 
-((|constructor| (NIL "ByteBuffer provides datatype for buffers of bytes. This domain differs from PrimitiveArray Byte in that it has it is not as rigid as PrimitiveArray Byte is. That is,{} the typical use of ByteBuffer is to pre-allocate a vector of Byte of some capacity \\spad{`c'}. The array can then store up to \\spad{`c'} bytes. The actual interesting bytes count (the length of the buffer) is therefore different from the capacity. The length is no more than the capacity,{} but it can be set dynamically as needed. This functionality is used for example when reading bytes from input/output devices where we use buffers to transfer data in and out of the system. Note: a value of type ByteBuffer is 0-based indexed,{} as opposed \\indented{6}{Vector,{} but not unlike PrimitiveArray Byte.}")) (|setLength!| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{setLength!(buf,{}n)} sets the number of active bytes in the `buf'. Error if \\spad{`n'} is more than the capacity.")) (|capacity| (((|NonNegativeInteger|) $) "\\spad{capacity(buf)} returns the pre-allocated maximum size of `buf'.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\#buf} returns the number of active elements in the buffer.")) (|byteBuffer| (($ (|NonNegativeInteger|)) "\\spad{byteBuffer(n)} creates a buffer of capacity \\spad{n},{} and length 0."))) 
+((|constructor| (NIL "ByteBuffer provides datatype for buffers of bytes. This domain differs from PrimitiveArray Byte in that it is not as rigid as PrimitiveArray Byte. That is,{} the typical use of ByteBuffer is to pre-allocate a vector of Byte of some capacity \\spad{`n'}. The array can then store up to \\spad{`n'} bytes. The actual interesting bytes count (the length of the buffer) is therefore different from the capacity. The length is no more than the capacity,{} but it can be set dynamically as needed. This functionality is used for example when reading bytes from input/output devices where we use buffers to transfer data in and out of the system. Note: a value of type ByteBuffer is 0-based indexed,{} as opposed \\indented{6}{Vector,{} but not unlike PrimitiveArray Byte.}")) (|setLength!| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{setLength!(buf,{}n)} sets the number of active bytes in the `buf'. Error if \\spad{`n'} is more than the capacity.")) (|capacity| (((|NonNegativeInteger|) $) "\\spad{capacity(buf)} returns the pre-allocated maximum size of `buf'.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\#buf} returns the number of active elements in the buffer.")) (|byteBuffer| (($ (|NonNegativeInteger|)) "\\spad{byteBuffer(n)} creates a buffer of capacity \\spad{n},{} and length 0."))) 
 ((-4383 . T) (-4382 . T)) 
 ((-3998 (-12 (|HasCategory| (-129) (QUOTE (-841))) (|HasCategory| (-129) (LIST (QUOTE -308) (QUOTE (-129))))) (-12 (|HasCategory| (-129) (QUOTE (-1087))) (|HasCategory| (-129) (LIST (QUOTE -308) (QUOTE (-129)))))) (-3998 (-12 (|HasCategory| (-129) (QUOTE (-1087))) (|HasCategory| (-129) (LIST (QUOTE -308) (QUOTE (-129))))) (|HasCategory| (-129) (LIST (QUOTE -605) (QUOTE (-853))))) (|HasCategory| (-129) (LIST (QUOTE -606) (QUOTE (-534)))) (-3998 (|HasCategory| (-129) (QUOTE (-841))) (|HasCategory| (-129) (QUOTE (-1087)))) (|HasCategory| (-129) (QUOTE (-841))) (|HasCategory| (-558) (QUOTE (-841))) (|HasCategory| (-129) (QUOTE (-1087))) (|HasCategory| (-129) (LIST (QUOTE -605) (QUOTE (-853)))) (-12 (|HasCategory| (-129) (QUOTE (-1087))) (|HasCategory| (-129) (LIST (QUOTE -308) (QUOTE (-129)))))) 
 (-129) 
@@ -1080,7 +1080,7 @@ NIL
 ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain {\\em Dom} to an image domain {\\em Im}.")) (|qsetelt!| ((|#2| $ |#1| |#2|) "\\spad{qsetelt!(u,{}x,{}y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(u,{}x,{}y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#2| $ |#1|) "\\spad{qelt(u,{} x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#2| $ |#1| |#2|) "\\spad{elt(u,{} x,{} y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) 
 NIL 
 NIL 
-(-288 S R |Mod| -1616 -1677 |exactQuo|) 
+(-288 S R |Mod| -1966 -1346 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|elt| ((|#2| $ |#2|) "\\spad{elt(x,{}r)} or \\spad{x}.\\spad{r} \\undocumented")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4375 . T) ((-4384 "*") . T) (-4376 . T) (-4377 . T) (-4379 . T)) 
 NIL 
@@ -1203,7 +1203,7 @@ NIL
 (-318 FE |var| |cen|) 
 ((|constructor| (NIL "ExponentialOfUnivariatePuiseuxSeries is a domain used to represent essential singularities of functions. An object in this domain is a function of the form \\spad{exp(f(x))},{} where \\spad{f(x)} is a Puiseux series with no terms of non-negative degree. Objects are ordered according to order of singularity,{} with functions which tend more rapidly to zero or infinity considered to be larger. Thus,{} if \\spad{order(f(x)) < order(g(x))},{} \\spadignore{i.e.} the first non-zero term of \\spad{f(x)} has lower degree than the first non-zero term of \\spad{g(x)},{} then \\spad{exp(f(x)) > exp(g(x))}. If \\spad{order(f(x)) = order(g(x))},{} then the ordering is essentially random. This domain is used in computing limits involving functions with essential singularities.")) (|exponentialOrder| (((|Fraction| (|Integer|)) $) "\\spad{exponentialOrder(exp(c * x **(-n) + ...))} returns \\spad{-n}. exponentialOrder(0) returns \\spad{0}.")) (|exponent| (((|UnivariatePuiseuxSeries| |#1| |#2| |#3|) $) "\\spad{exponent(exp(f(x)))} returns \\spad{f(x)}")) (|exponential| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{exponential(f(x))} returns \\spad{exp(f(x))}. Note: the function does NOT check that \\spad{f(x)} has no non-negative terms."))) 
 (((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2543) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
 (-319 M) 
 ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,{}b1),{}...,{}(am,{}bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f,{} n)} returns \\spad{(p,{} r,{} [r1,{}...,{}rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) 
 NIL 
@@ -1516,7 +1516,7 @@ 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 
-(-397 -1323 |returnType| -1433 |symbols|) 
+(-397 -1324 |returnType| -1431 |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 
@@ -1819,7 +1819,7 @@ NIL
 (-472 |Coef| |var| |cen|) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) 
 (((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2543) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
 (-473 |Key| |Entry| |Tbl| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
 ((-4383 . T)) 
@@ -2025,11 +2025,11 @@ NIL
 NIL 
 NIL 
 (-524 S) 
-((|constructor| (NIL "This category describes input byte stream conduits.")) (|readBytes!| (((|SingleInteger|) $ (|ByteBuffer|)) "\\spad{readBytes!(c,{}b)} reads byte sequences from conduit \\spad{`c'} into the byte buffer \\spad{`b'}. The actual number of bytes written is returned.")) (|readByteIfCan!| (((|SingleInteger|) $) "\\spad{readByteIfCan!(cond)} attempts to read a byte from the input conduit `cond'. Returns the read byte if successful,{} otherwise return \\spad{-1}. Note: Ideally,{} the return value should have been of type \\indented{2}{Maybe Byte; but that would have implied allocating} \\indented{2}{a cons cell for every read attempt,{} which is overkill.}"))) 
+((|constructor| (NIL "This category describes input byte stream conduits.")) (|readBytes!| (((|SingleInteger|) $ (|ByteBuffer|)) "\\spad{readBytes!(c,{}b)} reads byte sequences from conduit \\spad{`c'} into the byte buffer \\spad{`b'}. The actual number of bytes written is returned,{} and the length of \\spad{`b'} is set to that amount.")) (|readByteIfCan!| (((|SingleInteger|) $) "\\spad{readByteIfCan!(cond)} attempts to read a byte from the input conduit `cond'. Returns the read byte if successful,{} otherwise return \\spad{-1}. Note: Ideally,{} the return value should have been of type \\indented{2}{Maybe Byte; but that would have implied allocating} \\indented{2}{a cons cell for every read attempt,{} which is overkill.}"))) 
 NIL 
 NIL 
 (-525) 
-((|constructor| (NIL "This category describes input byte stream conduits.")) (|readBytes!| (((|SingleInteger|) $ (|ByteBuffer|)) "\\spad{readBytes!(c,{}b)} reads byte sequences from conduit \\spad{`c'} into the byte buffer \\spad{`b'}. The actual number of bytes written is returned.")) (|readByteIfCan!| (((|SingleInteger|) $) "\\spad{readByteIfCan!(cond)} attempts to read a byte from the input conduit `cond'. Returns the read byte if successful,{} otherwise return \\spad{-1}. Note: Ideally,{} the return value should have been of type \\indented{2}{Maybe Byte; but that would have implied allocating} \\indented{2}{a cons cell for every read attempt,{} which is overkill.}"))) 
+((|constructor| (NIL "This category describes input byte stream conduits.")) (|readBytes!| (((|SingleInteger|) $ (|ByteBuffer|)) "\\spad{readBytes!(c,{}b)} reads byte sequences from conduit \\spad{`c'} into the byte buffer \\spad{`b'}. The actual number of bytes written is returned,{} and the length of \\spad{`b'} is set to that amount.")) (|readByteIfCan!| (((|SingleInteger|) $) "\\spad{readByteIfCan!(cond)} attempts to read a byte from the input conduit `cond'. Returns the read byte if successful,{} otherwise return \\spad{-1}. Note: Ideally,{} the return value should have been of type \\indented{2}{Maybe Byte; but that would have implied allocating} \\indented{2}{a cons cell for every read attempt,{} which is overkill.}"))) 
 NIL 
 NIL 
 (-526 GF) 
@@ -2520,7 +2520,7 @@ NIL
 ((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a,{} zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-27)))) 
-(-648 A -2866) 
+(-648 A -2610) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator} defines a ring of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}"))) 
 ((-4376 . T) (-4377 . T) (-4379 . T)) 
 ((|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-362)))) 
@@ -2716,7 +2716,7 @@ NIL
 ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,{}b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}."))) 
 NIL 
 NIL 
-(-697 S -1866 I) 
+(-697 S -1867 I) 
 ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr,{} x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) 
 NIL 
 NIL 
@@ -2736,7 +2736,7 @@ NIL
 ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) 
 NIL 
 NIL 
-(-702 R |Mod| -1616 -1677 |exactQuo|) 
+(-702 R |Mod| -1966 -1346 |exactQuo|) 
 ((|constructor| (NIL "\\indented{1}{These domains are used for the factorization and gcds} of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4374 . T) (-4380 . T) (-4375 . T) ((-4384 "*") . T) (-4376 . T) (-4377 . T) (-4379 . T)) 
 NIL 
@@ -2752,7 +2752,7 @@ NIL
 ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,{}f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f,{} u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) 
 ((-4377 |has| |#1| (-171)) (-4376 |has| |#1| (-171)) (-4379 . T)) 
 ((|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146)))) 
-(-706 R |Mod| -1616 -1677 |exactQuo|) 
+(-706 R |Mod| -1966 -1346 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4379 . T)) 
 NIL 
@@ -3448,7 +3448,7 @@ NIL
 ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r,{} p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,{}e1],{}...,{}[vn,{}en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var,{} expr,{} r,{} val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var,{} r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a,{} b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) 
 NIL 
 NIL 
-(-880 R -1866) 
+(-880 R -1867) 
 ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p,{} v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,{}...,{}vn],{} p)} returns \\spad{f(v1,{}...,{}vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v,{} p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p,{} [a1,{}...,{}an],{} f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,{}...,{}an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p,{} [f1,{}...,{}fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p,{} f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) 
 NIL 
 NIL 
@@ -3636,11 +3636,11 @@ NIL
 ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p,{} pat,{} res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p,{} pat,{} res,{} vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -876) (|devaluate| |#1|)))) 
-(-927 R -3215 -1866) 
+(-927 R -3215 -1867) 
 ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol."))) 
 NIL 
 NIL 
-(-928 -1866) 
+(-928 -1867) 
 ((|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 
@@ -4547,7 +4547,7 @@ NIL
 (-1154 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) 
 (((-4384 "*") -3998 (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-811))) (|has| |#1| (-171)) (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-899)))) (-4375 -3998 (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-811))) (|has| |#1| (-550)) (-2084 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-899)))) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T)) 
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 (-1155 R -3215) 
 ((|constructor| (NIL "computes sums of top-level expressions.")) (|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n),{} n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n),{} n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) 
 NIL 
@@ -4571,11 +4571,11 @@ NIL
 (-1160 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) 
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 (-1161 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
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 NIL 
@@ -4767,11 +4767,11 @@ NIL
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(QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-811))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-899))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (QUOTE (-171)))) (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (-12 (|HasCategory| $ (QUOTE (-144))) (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-899))) (|HasCategory| |#1| (QUOTE (-362)))) (-3998 (-12 (|HasCategory| $ (QUOTE (-144))) (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-899))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (QUOTE (-144))))) 
 (-1211 ZP) 
 ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,{}flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) 
 NIL 
@@ -4851,11 +4851,11 @@ NIL
 (-1230 |Coef| ULS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}."))) 
 (((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T)) 
-((|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2543) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) 
+((|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) 
 (-1231 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) 
 (((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4380 |has| |#1| (-362)) (-4374 |has| |#1| (-362)) (-4376 . T) (-4377 . T) (-4379 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2543) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3998 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
 (-1232 R FE |var| |cen|) 
 ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent functions with essential singularities. Objects in this domain are sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series. Thus,{} the elements of this domain are sums of expressions of the form \\spad{g(x) * exp(f(x))},{} where \\spad{g}(\\spad{x}) is a univariate Puiseux series and \\spad{f}(\\spad{x}) is a univariate Puiseux series with no terms of non-negative degree.")) (|dominantTerm| (((|Union| (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#2|)))))) (|:| |%type| (|String|))) "failed") $) "\\spad{dominantTerm(f(var))} returns the term that dominates the limiting behavior of \\spad{f(var)} as \\spad{var -> cen+} together with a \\spadtype{String} which briefly describes that behavior. The value of the \\spadtype{String} will be \\spad{\"zero\"} (resp. \\spad{\"infinity\"}) if the term tends to zero (resp. infinity) exponentially and will \\spad{\"series\"} if the term is a Puiseux series.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) 
 (((-4384 "*") |has| (-1231 |#2| |#3| |#4|) (-171)) (-4375 |has| (-1231 |#2| |#3| |#4|) (-550)) (-4376 . T) (-4377 . T) (-4379 . T)) 
@@ -4875,7 +4875,7 @@ NIL
 (-1236 S |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#2|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#2|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#2|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#2| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#2|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#2|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#2|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
 NIL 
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+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#2| (QUOTE (-949))) (|HasCategory| |#2| (QUOTE (-1185))) (|HasSignature| |#2| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2656) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1163))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#2| (QUOTE (-362)))) 
 (-1237 |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#1|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#1|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
 (((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4376 . T) (-4377 . T) (-4379 . T)) 
@@ -4883,7 +4883,7 @@ NIL
 (-1238 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,{}b,{}f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
 (((-4384 "*") |has| |#1| (-171)) (-4375 |has| |#1| (-550)) (-4376 . T) (-4377 . T) (-4379 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2543) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3998 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -3220) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3998 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -2656) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2671) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) 
 (-1239 |Coef| UTS) 
 ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,{}f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,{}y[1],{}y[2],{}...,{}y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,{}cl)} is the solution to \\spad{y<n>=f(y,{}y',{}..,{}y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,{}c0,{}c1)} is the solution to \\spad{y'' = f(y,{}y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,{}c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,{}g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) 
 NIL 
@@ -5044,4 +5044,4 @@ NIL
 NIL 
 NIL 
 NIL 
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"SQMATRIX.spad" 1949641 1949659 1950557 1950644) (-1128 "SPLTREE.spad" 1944193 1944206 1949077 1949104) (-1127 "SPLNODE.spad" 1940781 1940794 1944183 1944188) (-1126 "SPFCAT.spad" 1939558 1939567 1940771 1940776) (-1125 "SPECOUT.spad" 1938108 1938117 1939548 1939553) (-1124 "SPADXPT.spad" 1930247 1930256 1938098 1938103) (-1123 "spad-parser.spad" 1929712 1929721 1930237 1930242) (-1122 "SPADAST.spad" 1929413 1929422 1929702 1929707) (-1121 "SPACEC.spad" 1913426 1913437 1929403 1929408) (-1120 "SPACE3.spad" 1913202 1913213 1913416 1913421) (-1119 "SORTPAK.spad" 1912747 1912760 1913158 1913163) (-1118 "SOLVETRA.spad" 1910504 1910515 1912737 1912742) (-1117 "SOLVESER.spad" 1909024 1909035 1910494 1910499) (-1116 "SOLVERAD.spad" 1905034 1905045 1909014 1909019) (-1115 "SOLVEFOR.spad" 1903454 1903472 1905024 1905029) (-1114 "SNTSCAT.spad" 1903054 1903071 1903422 1903449) (-1113 "SMTS.spad" 1901314 1901340 1902619 1902716) (-1112 "SMP.spad" 1898753 1898773 1899143 1899270) (-1111 "SMITH.spad" 1897596 1897621 1898743 1898748) (-1110 "SMATCAT.spad" 1895706 1895736 1897540 1897591) (-1109 "SMATCAT.spad" 1893748 1893780 1895584 1895589) (-1108 "SKAGG.spad" 1892709 1892720 1893716 1893743) (-1107 "SINT.spad" 1891017 1891026 1892575 1892704) (-1106 "SIMPAN.spad" 1890745 1890754 1891007 1891012) (-1105 "SIG.spad" 1890073 1890082 1890735 1890740) (-1104 "SIGNRF.spad" 1889181 1889192 1890063 1890068) (-1103 "SIGNEF.spad" 1888450 1888467 1889171 1889176) (-1102 "SIGAST.spad" 1887831 1887840 1888440 1888445) (-1101 "SHP.spad" 1885749 1885764 1887787 1887792) (-1100 "SHDP.spad" 1875460 1875487 1875969 1876100) (-1099 "SGROUP.spad" 1875068 1875077 1875450 1875455) (-1098 "SGROUP.spad" 1874674 1874685 1875058 1875063) (-1097 "SGCF.spad" 1867555 1867564 1874664 1874669) (-1096 "SFRTCAT.spad" 1866483 1866500 1867523 1867550) (-1095 "SFRGCD.spad" 1865546 1865566 1866473 1866478) (-1094 "SFQCMPK.spad" 1860183 1860203 1865536 1865541) (-1093 "SFORT.spad" 1859618 1859632 1860173 1860178) (-1092 "SEXOF.spad" 1859461 1859501 1859608 1859613) (-1091 "SEX.spad" 1859353 1859362 1859451 1859456) (-1090 "SEXCAT.spad" 1856904 1856944 1859343 1859348) (-1089 "SET.spad" 1855204 1855215 1856325 1856364) (-1088 "SETMN.spad" 1853638 1853655 1855194 1855199) (-1087 "SETCAT.spad" 1853123 1853132 1853628 1853633) (-1086 "SETCAT.spad" 1852606 1852617 1853113 1853118) (-1085 "SETAGG.spad" 1849127 1849138 1852586 1852601) (-1084 "SETAGG.spad" 1845656 1845669 1849117 1849122) (-1083 "SEQAST.spad" 1845359 1845368 1845646 1845651) (-1082 "SEGXCAT.spad" 1844481 1844494 1845349 1845354) (-1081 "SEG.spad" 1844294 1844305 1844400 1844405) (-1080 "SEGCAT.spad" 1843201 1843212 1844284 1844289) (-1079 "SEGBIND.spad" 1842273 1842284 1843156 1843161) (-1078 "SEGBIND2.spad" 1841969 1841982 1842263 1842268) (-1077 "SEGAST.spad" 1841683 1841692 1841959 1841964) (-1076 "SEG2.spad" 1841108 1841121 1841639 1841644) (-1075 "SDVAR.spad" 1840384 1840395 1841098 1841103) (-1074 "SDPOL.spad" 1837774 1837785 1838065 1838192) (-1073 "SCPKG.spad" 1835853 1835864 1837764 1837769) (-1072 "SCOPE.spad" 1834998 1835007 1835843 1835848) (-1071 "SCACHE.spad" 1833680 1833691 1834988 1834993) (-1070 "SASTCAT.spad" 1833589 1833598 1833670 1833675) (-1069 "SAOS.spad" 1833461 1833470 1833579 1833584) (-1068 "SAERFFC.spad" 1833174 1833194 1833451 1833456) (-1067 "SAE.spad" 1831349 1831365 1831960 1832095) (-1066 "SAEFACT.spad" 1831050 1831070 1831339 1831344) (-1065 "RURPK.spad" 1828691 1828707 1831040 1831045) (-1064 "RULESET.spad" 1828132 1828156 1828681 1828686) (-1063 "RULE.spad" 1826336 1826360 1828122 1828127) (-1062 "RULECOLD.spad" 1826188 1826201 1826326 1826331) (-1061 "RSTRCAST.spad" 1825905 1825914 1826178 1826183) (-1060 "RSETGCD.spad" 1822283 1822303 1825895 1825900) (-1059 "RSETCAT.spad" 1812067 1812084 1822251 1822278) (-1058 "RSETCAT.spad" 1801871 1801890 1812057 1812062) (-1057 "RSDCMPK.spad" 1800323 1800343 1801861 1801866) (-1056 "RRCC.spad" 1798707 1798737 1800313 1800318) (-1055 "RRCC.spad" 1797089 1797121 1798697 1798702) (-1054 "RPTAST.spad" 1796791 1796800 1797079 1797084) (-1053 "RPOLCAT.spad" 1776151 1776166 1796659 1796786) (-1052 "RPOLCAT.spad" 1755225 1755242 1775735 1775740) (-1051 "ROUTINE.spad" 1751088 1751097 1753872 1753899) (-1050 "ROMAN.spad" 1750416 1750425 1750954 1751083) (-1049 "ROIRC.spad" 1749496 1749528 1750406 1750411) (-1048 "RNS.spad" 1748399 1748408 1749398 1749491) (-1047 "RNS.spad" 1747388 1747399 1748389 1748394) (-1046 "RNG.spad" 1747123 1747132 1747378 1747383) (-1045 "RMODULE.spad" 1746761 1746772 1747113 1747118) (-1044 "RMCAT2.spad" 1746169 1746226 1746751 1746756) (-1043 "RMATRIX.spad" 1744993 1745012 1745336 1745375) (-1042 "RMATCAT.spad" 1740526 1740557 1744949 1744988) (-1041 "RMATCAT.spad" 1735949 1735982 1740374 1740379) (-1040 "RINTERP.spad" 1735837 1735857 1735939 1735944) (-1039 "RING.spad" 1735307 1735316 1735817 1735832) (-1038 "RING.spad" 1734785 1734796 1735297 1735302) (-1037 "RIDIST.spad" 1734169 1734178 1734775 1734780) (-1036 "RGCHAIN.spad" 1732748 1732764 1733654 1733681) (-1035 "RGBCSPC.spad" 1732529 1732541 1732738 1732743) (-1034 "RGBCMDL.spad" 1732059 1732071 1732519 1732524) (-1033 "RF.spad" 1729673 1729684 1732049 1732054) (-1032 "RFFACTOR.spad" 1729135 1729146 1729663 1729668) (-1031 "RFFACT.spad" 1728870 1728882 1729125 1729130) (-1030 "RFDIST.spad" 1727858 1727867 1728860 1728865) (-1029 "RETSOL.spad" 1727275 1727288 1727848 1727853) (-1028 "RETRACT.spad" 1726703 1726714 1727265 1727270) (-1027 "RETRACT.spad" 1726129 1726142 1726693 1726698) (-1026 "RETAST.spad" 1725941 1725950 1726119 1726124) (-1025 "RESULT.spad" 1724001 1724010 1724588 1724615) (-1024 "RESRING.spad" 1723348 1723395 1723939 1723996) (-1023 "RESLATC.spad" 1722672 1722683 1723338 1723343) (-1022 "REPSQ.spad" 1722401 1722412 1722662 1722667) (-1021 "REP.spad" 1719953 1719962 1722391 1722396) (-1020 "REPDB.spad" 1719658 1719669 1719943 1719948) (-1019 "REP2.spad" 1709230 1709241 1719500 1719505) (-1018 "REP1.spad" 1703220 1703231 1709180 1709185) (-1017 "REGSET.spad" 1701017 1701034 1702866 1702893) (-1016 "REF.spad" 1700346 1700357 1700972 1700977) (-1015 "REDORDER.spad" 1699522 1699539 1700336 1700341) (-1014 "RECLOS.spad" 1698305 1698325 1699009 1699102) (-1013 "REALSOLV.spad" 1697437 1697446 1698295 1698300) (-1012 "REAL.spad" 1697309 1697318 1697427 1697432) (-1011 "REAL0Q.spad" 1694591 1694606 1697299 1697304) (-1010 "REAL0.spad" 1691419 1691434 1694581 1694586) (-1009 "RDUCEAST.spad" 1691140 1691149 1691409 1691414) (-1008 "RDIV.spad" 1690791 1690816 1691130 1691135) (-1007 "RDIST.spad" 1690354 1690365 1690781 1690786) (-1006 "RDETRS.spad" 1689150 1689168 1690344 1690349) (-1005 "RDETR.spad" 1687257 1687275 1689140 1689145) (-1004 "RDEEFS.spad" 1686330 1686347 1687247 1687252) (-1003 "RDEEF.spad" 1685326 1685343 1686320 1686325) (-1002 "RCFIELD.spad" 1682512 1682521 1685228 1685321) (-1001 "RCFIELD.spad" 1679784 1679795 1682502 1682507) (-1000 "RCAGG.spad" 1677696 1677707 1679774 1679779) (-999 "RCAGG.spad" 1675536 1675548 1677615 1677620) (-998 "RATRET.spad" 1674897 1674907 1675526 1675531) (-997 "RATFACT.spad" 1674590 1674601 1674887 1674892) (-996 "RANDSRC.spad" 1673910 1673918 1674580 1674585) (-995 "RADUTIL.spad" 1673665 1673673 1673900 1673905) (-994 "RADIX.spad" 1670567 1670580 1672132 1672225) (-993 "RADFF.spad" 1668981 1669017 1669099 1669255) (-992 "RADCAT.spad" 1668575 1668583 1668971 1668976) (-991 "RADCAT.spad" 1668167 1668177 1668565 1668570) (-990 "QUEUE.spad" 1667510 1667520 1667774 1667801) (-989 "QUAT.spad" 1666092 1666102 1666434 1666499) (-988 "QUATCT2.spad" 1665711 1665729 1666082 1666087) (-987 "QUATCAT.spad" 1663876 1663886 1665641 1665706) (-986 "QUATCAT.spad" 1661792 1661804 1663559 1663564) (-985 "QUAGG.spad" 1660618 1660628 1661760 1661787) (-984 "QQUTAST.spad" 1660387 1660395 1660608 1660613) (-983 "QFORM.spad" 1659850 1659864 1660377 1660382) (-982 "QFCAT.spad" 1658553 1658563 1659752 1659845) (-981 "QFCAT.spad" 1656847 1656859 1658048 1658053) (-980 "QFCAT2.spad" 1656538 1656554 1656837 1656842) (-979 "QEQUAT.spad" 1656095 1656103 1656528 1656533) (-978 "QCMPACK.spad" 1650842 1650861 1656085 1656090) (-977 "QALGSET.spad" 1646917 1646949 1650756 1650761) (-976 "QALGSET2.spad" 1644913 1644931 1646907 1646912) (-975 "PWFFINTB.spad" 1642223 1642244 1644903 1644908) (-974 "PUSHVAR.spad" 1641552 1641571 1642213 1642218) (-973 "PTRANFN.spad" 1637678 1637688 1641542 1641547) (-972 "PTPACK.spad" 1634766 1634776 1637668 1637673) (-971 "PTFUNC2.spad" 1634587 1634601 1634756 1634761) (-970 "PTCAT.spad" 1633836 1633846 1634555 1634582) (-969 "PSQFR.spad" 1633143 1633167 1633826 1633831) (-968 "PSEUDLIN.spad" 1632001 1632011 1633133 1633138) (-967 "PSETPK.spad" 1617434 1617450 1631879 1631884) (-966 "PSETCAT.spad" 1611354 1611377 1617414 1617429) (-965 "PSETCAT.spad" 1605248 1605273 1611310 1611315) (-964 "PSCURVE.spad" 1604231 1604239 1605238 1605243) (-963 "PSCAT.spad" 1602998 1603027 1604129 1604226) (-962 "PSCAT.spad" 1601855 1601886 1602988 1602993) (-961 "PRTITION.spad" 1600800 1600808 1601845 1601850) (-960 "PRTDAST.spad" 1600519 1600527 1600790 1600795) (-959 "PRS.spad" 1590081 1590098 1600475 1600480) (-958 "PRQAGG.spad" 1589512 1589522 1590049 1590076) (-957 "PROPLOG.spad" 1588915 1588923 1589502 1589507) (-956 "PROPFRML.spad" 1586833 1586844 1588905 1588910) (-955 "PROPERTY.spad" 1586327 1586335 1586823 1586828) (-954 "PRODUCT.spad" 1584007 1584019 1584293 1584348) (-953 "PR.spad" 1582393 1582405 1583098 1583225) (-952 "PRINT.spad" 1582145 1582153 1582383 1582388) (-951 "PRIMES.spad" 1580396 1580406 1582135 1582140) (-950 "PRIMELT.spad" 1578377 1578391 1580386 1580391) (-949 "PRIMCAT.spad" 1578000 1578008 1578367 1578372) (-948 "PRIMARR.spad" 1577005 1577015 1577183 1577210) (-947 "PRIMARR2.spad" 1575728 1575740 1576995 1577000) (-946 "PREASSOC.spad" 1575100 1575112 1575718 1575723) (-945 "PPCURVE.spad" 1574237 1574245 1575090 1575095) (-944 "PORTNUM.spad" 1574012 1574020 1574227 1574232) (-943 "POLYROOT.spad" 1572841 1572863 1573968 1573973) (-942 "POLY.spad" 1570138 1570148 1570655 1570782) (-941 "POLYLIFT.spad" 1569399 1569422 1570128 1570133) (-940 "POLYCATQ.spad" 1567501 1567523 1569389 1569394) (-939 "POLYCAT.spad" 1560907 1560928 1567369 1567496) (-938 "POLYCAT.spad" 1553615 1553638 1560079 1560084) (-937 "POLY2UP.spad" 1553063 1553077 1553605 1553610) (-936 "POLY2.spad" 1552658 1552670 1553053 1553058) (-935 "POLUTIL.spad" 1551599 1551628 1552614 1552619) (-934 "POLTOPOL.spad" 1550347 1550362 1551589 1551594) (-933 "POINT.spad" 1549186 1549196 1549273 1549300) (-932 "PNTHEORY.spad" 1545852 1545860 1549176 1549181) (-931 "PMTOOLS.spad" 1544609 1544623 1545842 1545847) (-930 "PMSYM.spad" 1544154 1544164 1544599 1544604) (-929 "PMQFCAT.spad" 1543741 1543755 1544144 1544149) (-928 "PMPRED.spad" 1543210 1543224 1543731 1543736) (-927 "PMPREDFS.spad" 1542654 1542676 1543200 1543205) (-926 "PMPLCAT.spad" 1541724 1541742 1542586 1542591) (-925 "PMLSAGG.spad" 1541305 1541319 1541714 1541719) (-924 "PMKERNEL.spad" 1540872 1540884 1541295 1541300) (-923 "PMINS.spad" 1540448 1540458 1540862 1540867) (-922 "PMFS.spad" 1540021 1540039 1540438 1540443) (-921 "PMDOWN.spad" 1539307 1539321 1540011 1540016) (-920 "PMASS.spad" 1538319 1538327 1539297 1539302) (-919 "PMASSFS.spad" 1537288 1537304 1538309 1538314) (-918 "PLOTTOOL.spad" 1537068 1537076 1537278 1537283) (-917 "PLOT.spad" 1531899 1531907 1537058 1537063) (-916 "PLOT3D.spad" 1528319 1528327 1531889 1531894) (-915 "PLOT1.spad" 1527460 1527470 1528309 1528314) (-914 "PLEQN.spad" 1514676 1514703 1527450 1527455) (-913 "PINTERP.spad" 1514292 1514311 1514666 1514671) (-912 "PINTERPA.spad" 1514074 1514090 1514282 1514287) (-911 "PI.spad" 1513681 1513689 1514048 1514069) (-910 "PID.spad" 1512637 1512645 1513607 1513676) (-909 "PICOERCE.spad" 1512294 1512304 1512627 1512632) (-908 "PGROEB.spad" 1510891 1510905 1512284 1512289) (-907 "PGE.spad" 1502144 1502152 1510881 1510886) (-906 "PGCD.spad" 1501026 1501043 1502134 1502139) (-905 "PFRPAC.spad" 1500169 1500179 1501016 1501021) (-904 "PFR.spad" 1496826 1496836 1500071 1500164) (-903 "PFOTOOLS.spad" 1496084 1496100 1496816 1496821) (-902 "PFOQ.spad" 1495454 1495472 1496074 1496079) (-901 "PFO.spad" 1494873 1494900 1495444 1495449) (-900 "PF.spad" 1494447 1494459 1494678 1494771) (-899 "PFECAT.spad" 1492113 1492121 1494373 1494442) (-898 "PFECAT.spad" 1489807 1489817 1492069 1492074) (-897 "PFBRU.spad" 1487677 1487689 1489797 1489802) (-896 "PFBR.spad" 1485215 1485238 1487667 1487672) (-895 "PERM.spad" 1480896 1480906 1485045 1485060) (-894 "PERMGRP.spad" 1475632 1475642 1480886 1480891) (-893 "PERMCAT.spad" 1474184 1474194 1475612 1475627) (-892 "PERMAN.spad" 1472716 1472730 1474174 1474179) (-891 "PENDTREE.spad" 1472055 1472065 1472345 1472350) (-890 "PDRING.spad" 1470546 1470556 1472035 1472050) (-889 "PDRING.spad" 1469045 1469057 1470536 1470541) (-888 "PDEPROB.spad" 1468060 1468068 1469035 1469040) (-887 "PDEPACK.spad" 1462062 1462070 1468050 1468055) (-886 "PDECOMP.spad" 1461524 1461541 1462052 1462057) (-885 "PDECAT.spad" 1459878 1459886 1461514 1461519) (-884 "PCOMP.spad" 1459729 1459742 1459868 1459873) (-883 "PBWLB.spad" 1458311 1458328 1459719 1459724) (-882 "PATTERN.spad" 1452742 1452752 1458301 1458306) (-881 "PATTERN2.spad" 1452478 1452490 1452732 1452737) (-880 "PATTERN1.spad" 1450780 1450796 1452468 1452473) (-879 "PATRES.spad" 1448327 1448339 1450770 1450775) (-878 "PATRES2.spad" 1447989 1448003 1448317 1448322) (-877 "PATMATCH.spad" 1446146 1446177 1447697 1447702) (-876 "PATMAB.spad" 1445571 1445581 1446136 1446141) (-875 "PATLRES.spad" 1444655 1444669 1445561 1445566) (-874 "PATAB.spad" 1444419 1444429 1444645 1444650) (-873 "PARTPERM.spad" 1441781 1441789 1444409 1444414) (-872 "PARSURF.spad" 1441209 1441237 1441771 1441776) (-871 "PARSU2.spad" 1441004 1441020 1441199 1441204) (-870 "script-parser.spad" 1440524 1440532 1440994 1440999) (-869 "PARSCURV.spad" 1439952 1439980 1440514 1440519) (-868 "PARSC2.spad" 1439741 1439757 1439942 1439947) (-867 "PARPCURV.spad" 1439199 1439227 1439731 1439736) (-866 "PARPC2.spad" 1438988 1439004 1439189 1439194) (-865 "PAN2EXPR.spad" 1438400 1438408 1438978 1438983) (-864 "PALETTE.spad" 1437370 1437378 1438390 1438395) (-863 "PAIR.spad" 1436353 1436366 1436958 1436963) (-862 "PADICRC.spad" 1433683 1433701 1434858 1434951) (-861 "PADICRAT.spad" 1431698 1431710 1431919 1432012) (-860 "PADIC.spad" 1431393 1431405 1431624 1431693) (-859 "PADICCT.spad" 1429934 1429946 1431319 1431388) (-858 "PADEPAC.spad" 1428613 1428632 1429924 1429929) (-857 "PADE.spad" 1427353 1427369 1428603 1428608) (-856 "OWP.spad" 1426593 1426623 1427211 1427278) (-855 "OVAR.spad" 1426374 1426397 1426583 1426588) (-854 "OUT.spad" 1425458 1425466 1426364 1426369) (-853 "OUTFORM.spad" 1414754 1414762 1425448 1425453) (-852 "OUTBFILE.spad" 1414172 1414180 1414744 1414749) (-851 "OUTBCON.spad" 1413450 1413458 1414162 1414167) (-850 "OUTBCON.spad" 1412726 1412736 1413440 1413445) (-849 "OSI.spad" 1412201 1412209 1412716 1412721) (-848 "OSGROUP.spad" 1412119 1412127 1412191 1412196) (-847 "ORTHPOL.spad" 1410580 1410590 1412036 1412041) (-846 "OREUP.spad" 1410033 1410061 1410260 1410299) (-845 "ORESUP.spad" 1409332 1409356 1409713 1409752) (-844 "OREPCTO.spad" 1407151 1407163 1409252 1409257) (-843 "OREPCAT.spad" 1401208 1401218 1407107 1407146) (-842 "OREPCAT.spad" 1395155 1395167 1401056 1401061) (-841 "ORDSET.spad" 1394321 1394329 1395145 1395150) (-840 "ORDSET.spad" 1393485 1393495 1394311 1394316) (-839 "ORDRING.spad" 1392875 1392883 1393465 1393480) (-838 "ORDRING.spad" 1392273 1392283 1392865 1392870) (-837 "ORDMON.spad" 1392128 1392136 1392263 1392268) (-836 "ORDFUNS.spad" 1391254 1391270 1392118 1392123) (-835 "ORDFIN.spad" 1391188 1391196 1391244 1391249) (-834 "ORDCOMP.spad" 1389653 1389663 1390735 1390764) (-833 "ORDCOMP2.spad" 1388938 1388950 1389643 1389648) (-832 "OPTPROB.spad" 1387576 1387584 1388928 1388933) (-831 "OPTPACK.spad" 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279288 279293) (-235 "DIOSP.spad" 277189 277197 278354 278359) (-234 "DIOPS.spad" 276173 276183 277169 277184) (-233 "DIOPS.spad" 275131 275143 276129 276134) (-232 "DIFRING.spad" 274423 274431 275111 275126) (-231 "DIFRING.spad" 273723 273733 274413 274418) (-230 "DIFEXT.spad" 272882 272892 273703 273718) (-229 "DIFEXT.spad" 271958 271970 272781 272786) (-228 "DIAGG.spad" 271588 271598 271938 271953) (-227 "DIAGG.spad" 271226 271238 271578 271583) (-226 "DHMATRIX.spad" 269530 269540 270683 270710) (-225 "DFSFUN.spad" 262938 262946 269520 269525) (-224 "DFLOAT.spad" 259659 259667 262828 262933) (-223 "DFINTTLS.spad" 257868 257884 259649 259654) (-222 "DERHAM.spad" 255778 255810 257848 257863) (-221 "DEQUEUE.spad" 255096 255106 255385 255412) (-220 "DEGRED.spad" 254711 254725 255086 255091) (-219 "DEFINTRF.spad" 252236 252246 254701 254706) (-218 "DEFINTEF.spad" 250732 250748 252226 252231) (-217 "DEFAST.spad" 250100 250108 250722 250727) (-216 "DECIMAL.spad" 248206 248214 248567 248660) (-215 "DDFACT.spad" 246005 246022 248196 248201) (-214 "DBLRESP.spad" 245603 245627 245995 246000) (-213 "DBASE.spad" 244257 244267 245593 245598) (-212 "DATAARY.spad" 243719 243732 244247 244252) (-211 "D03FAFA.spad" 243547 243555 243709 243714) (-210 "D03EEFA.spad" 243367 243375 243537 243542) (-209 "D03AGNT.spad" 242447 242455 243357 243362) (-208 "D02EJFA.spad" 241909 241917 242437 242442) (-207 "D02CJFA.spad" 241387 241395 241899 241904) (-206 "D02BHFA.spad" 240877 240885 241377 241382) (-205 "D02BBFA.spad" 240367 240375 240867 240872) (-204 "D02AGNT.spad" 235171 235179 240357 240362) (-203 "D01WGTS.spad" 233490 233498 235161 235166) (-202 "D01TRNS.spad" 233467 233475 233480 233485) (-201 "D01GBFA.spad" 232989 232997 233457 233462) (-200 "D01FCFA.spad" 232511 232519 232979 232984) (-199 "D01ASFA.spad" 231979 231987 232501 232506) (-198 "D01AQFA.spad" 231425 231433 231969 231974) (-197 "D01APFA.spad" 230849 230857 231415 231420) (-196 "D01ANFA.spad" 230343 230351 230839 230844) (-195 "D01AMFA.spad" 229853 229861 230333 230338) (-194 "D01ALFA.spad" 229393 229401 229843 229848) (-193 "D01AKFA.spad" 228919 228927 229383 229388) (-192 "D01AJFA.spad" 228442 228450 228909 228914) (-191 "D01AGNT.spad" 224501 224509 228432 228437) (-190 "CYCLOTOM.spad" 224007 224015 224491 224496) (-189 "CYCLES.spad" 220839 220847 223997 224002) (-188 "CVMP.spad" 220256 220266 220829 220834) (-187 "CTRIGMNP.spad" 218746 218762 220246 220251) (-186 "CTOR.spad" 218646 218654 218736 218741) (-185 "CTORKIND.spad" 218249 218257 218636 218641) (-184 "CTORCAT.spad" 217704 217712 218239 218244) (-183 "CTORCAT.spad" 217157 217167 217694 217699) (-182 "CTORCALL.spad" 216737 216745 217147 217152) (-181 "CSTTOOLS.spad" 215980 215993 216727 216732) (-180 "CRFP.spad" 209684 209697 215970 215975) (-179 "CRCEAST.spad" 209404 209412 209674 209679) (-178 "CRAPACK.spad" 208447 208457 209394 209399) (-177 "CPMATCH.spad" 207947 207962 208372 208377) (-176 "CPIMA.spad" 207652 207671 207937 207942) (-175 "COORDSYS.spad" 202545 202555 207642 207647) (-174 "CONTOUR.spad" 201947 201955 202535 202540) (-173 "CONTFRAC.spad" 197559 197569 201849 201942) (-172 "CONDUIT.spad" 197317 197325 197549 197554) (-171 "COMRING.spad" 196991 196999 197255 197312) (-170 "COMPPROP.spad" 196505 196513 196981 196986) (-169 "COMPLPAT.spad" 196272 196287 196495 196500) (-168 "COMPLEX.spad" 190308 190318 190552 190801) (-167 "COMPLEX2.spad" 190021 190033 190298 190303) (-166 "COMPFACT.spad" 189623 189637 190011 190016) (-165 "COMPCAT.spad" 187761 187771 189369 189618) (-164 "COMPCAT.spad" 185580 185592 187190 187195) (-163 "COMMUPC.spad" 185326 185344 185570 185575) (-162 "COMMONOP.spad" 184859 184867 185316 185321) (-161 "COMM.spad" 184668 184676 184849 184854) (-160 "COMMAAST.spad" 184431 184439 184658 184663) (-159 "COMBOPC.spad" 183336 183344 184421 184426) (-158 "COMBINAT.spad" 182081 182091 183326 183331) (-157 "COMBF.spad" 179449 179465 182071 182076) (-156 "COLOR.spad" 178286 178294 179439 179444) (-155 "COLONAST.spad" 177952 177960 178276 178281) (-154 "CMPLXRT.spad" 177661 177678 177942 177947) (-153 "CLLCTAST.spad" 177323 177331 177651 177656) (-152 "CLIP.spad" 173415 173423 177313 177318) (-151 "CLIF.spad" 172054 172070 173371 173410) (-150 "CLAGG.spad" 168539 168549 172044 172049) (-149 "CLAGG.spad" 164895 164907 168402 168407) (-148 "CINTSLPE.spad" 164220 164233 164885 164890) (-147 "CHVAR.spad" 162298 162320 164210 164215) (-146 "CHARZ.spad" 162213 162221 162278 162293) (-145 "CHARPOL.spad" 161721 161731 162203 162208) (-144 "CHARNZ.spad" 161474 161482 161701 161716) (-143 "CHAR.spad" 159342 159350 161464 161469) (-142 "CFCAT.spad" 158658 158666 159332 159337) (-141 "CDEN.spad" 157816 157830 158648 158653) (-140 "CCLASS.spad" 155965 155973 157227 157266) (-139 "CATEGORY.spad" 155055 155063 155955 155960) (-138 "CATCTOR.spad" 154946 154954 155045 155050) (-137 "CATAST.spad" 154573 154581 154936 154941) (-136 "CASEAST.spad" 154287 154295 154563 154568) (-135 "CARTEN.spad" 149390 149414 154277 154282) (-134 "CARTEN2.spad" 148776 148803 149380 149385) (-133 "CARD.spad" 146065 146073 148750 148771) (-132 "CAPSLAST.spad" 145839 145847 146055 146060) (-131 "CACHSET.spad" 145461 145469 145829 145834) (-130 "CABMON.spad" 145014 145022 145451 145456) (-129 "BYTE.spad" 144335 144343 145004 145009) (-128 "BYTEBUF.spad" 142157 142165 143504 143531) (-127 "BTREE.spad" 141226 141236 141764 141791) (-126 "BTOURN.spad" 140229 140239 140833 140860) (-125 "BTCAT.spad" 139617 139627 140197 140224) (-124 "BTCAT.spad" 139025 139037 139607 139612) (-123 "BTAGG.spad" 138147 138155 138993 139020) (-122 "BTAGG.spad" 137289 137299 138137 138142) (-121 "BSTREE.spad" 136024 136034 136896 136923) (-120 "BRILL.spad" 134219 134230 136014 136019) (-119 "BRAGG.spad" 133143 133153 134209 134214) (-118 "BRAGG.spad" 132031 132043 133099 133104) (-117 "BPADICRT.spad" 130012 130024 130267 130360) (-116 "BPADIC.spad" 129676 129688 129938 130007) (-115 "BOUNDZRO.spad" 129332 129349 129666 129671) (-114 "BOP.spad" 124796 124804 129322 129327) (-113 "BOP1.spad" 122182 122192 124752 124757) (-112 "BOOLEAN.spad" 121506 121514 122172 122177) (-111 "BMODULE.spad" 121218 121230 121474 121501) (-110 "BITS.spad" 120637 120645 120854 120881) (-109 "BINDING.spad" 120056 120064 120627 120632) (-108 "BINARY.spad" 118167 118175 118523 118616) (-107 "BGAGG.spad" 117364 117374 118147 118162) (-106 "BGAGG.spad" 116569 116581 117354 117359) (-105 "BFUNCT.spad" 116133 116141 116549 116564) (-104 "BEZOUT.spad" 115267 115294 116083 116088) (-103 "BBTREE.spad" 112086 112096 114874 114901) (-102 "BASTYPE.spad" 111758 111766 112076 112081) (-101 "BASTYPE.spad" 111428 111438 111748 111753) (-100 "BALFACT.spad" 110867 110880 111418 111423) (-99 "AUTOMOR.spad" 110314 110323 110847 110862) (-98 "ATTREG.spad" 107033 107040 110066 110309) (-97 "ATTRBUT.spad" 103056 103063 107013 107028) (-96 "ATTRAST.spad" 102773 102780 103046 103051) (-95 "ATRIG.spad" 102243 102250 102763 102768) (-94 "ATRIG.spad" 101711 101720 102233 102238) (-93 "ASTCAT.spad" 101615 101622 101701 101706) (-92 "ASTCAT.spad" 101517 101526 101605 101610) (-91 "ASTACK.spad" 100850 100859 101124 101151) (-90 "ASSOCEQ.spad" 99650 99661 100806 100811) (-89 "ASP9.spad" 98731 98744 99640 99645) (-88 "ASP8.spad" 97774 97787 98721 98726) (-87 "ASP80.spad" 97096 97109 97764 97769) (-86 "ASP7.spad" 96256 96269 97086 97091) (-85 "ASP78.spad" 95707 95720 96246 96251) (-84 "ASP77.spad" 95076 95089 95697 95702) (-83 "ASP74.spad" 94168 94181 95066 95071) (-82 "ASP73.spad" 93439 93452 94158 94163) (-81 "ASP6.spad" 92306 92319 93429 93434) (-80 "ASP55.spad" 90815 90828 92296 92301) (-79 "ASP50.spad" 88632 88645 90805 90810) (-78 "ASP4.spad" 87927 87940 88622 88627) (-77 "ASP49.spad" 86926 86939 87917 87922) (-76 "ASP42.spad" 85333 85372 86916 86921) (-75 "ASP41.spad" 83912 83951 85323 85328) (-74 "ASP35.spad" 82900 82913 83902 83907) (-73 "ASP34.spad" 82201 82214 82890 82895) (-72 "ASP33.spad" 81761 81774 82191 82196) (-71 "ASP31.spad" 80901 80914 81751 81756) (-70 "ASP30.spad" 79793 79806 80891 80896) (-69 "ASP29.spad" 79259 79272 79783 79788) (-68 "ASP28.spad" 70532 70545 79249 79254) (-67 "ASP27.spad" 69429 69442 70522 70527) (-66 "ASP24.spad" 68516 68529 69419 69424) (-65 "ASP20.spad" 67980 67993 68506 68511) (-64 "ASP1.spad" 67361 67374 67970 67975) (-63 "ASP19.spad" 62047 62060 67351 67356) (-62 "ASP12.spad" 61461 61474 62037 62042) (-61 "ASP10.spad" 60732 60745 61451 61456) (-60 "ARRAY2.spad" 60092 60101 60339 60366) (-59 "ARRAY1.spad" 58927 58936 59275 59302) (-58 "ARRAY12.spad" 57596 57607 58917 58922) (-57 "ARR2CAT.spad" 53258 53279 57564 57591) (-56 "ARR2CAT.spad" 48940 48963 53248 53253) (-55 "ARITY.spad" 48508 48515 48930 48935) (-54 "APPRULE.spad" 47752 47774 48498 48503) (-53 "APPLYORE.spad" 47367 47380 47742 47747) (-52 "ANY.spad" 45709 45716 47357 47362) (-51 "ANY1.spad" 44780 44789 45699 45704) (-50 "ANTISYM.spad" 43219 43235 44760 44775) (-49 "ANON.spad" 42916 42923 43209 43214) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) 
-\ No newline at end of file
+((-3 NIL 2276937 2276942 2276947 2276952) (-2 NIL 2276917 2276922 2276927 2276932) (-1 NIL 2276897 2276902 2276907 2276912) (0 NIL 2276877 2276882 2276887 2276892) (-1274 "ZMOD.spad" 2276686 2276699 2276815 2276872) (-1273 "ZLINDEP.spad" 2275730 2275741 2276676 2276681) (-1272 "ZDSOLVE.spad" 2265579 2265601 2275720 2275725) (-1271 "YSTREAM.spad" 2265072 2265083 2265569 2265574) (-1270 "XRPOLY.spad" 2264292 2264312 2264928 2264997) (-1269 "XPR.spad" 2262083 2262096 2264010 2264109) (-1268 "XPOLY.spad" 2261638 2261649 2261939 2262008) (-1267 "XPOLYC.spad" 2260955 2260971 2261564 2261633) (-1266 "XPBWPOLY.spad" 2259392 2259412 2260735 2260804) (-1265 "XF.spad" 2257853 2257868 2259294 2259387) (-1264 "XF.spad" 2256294 2256311 2257737 2257742) (-1263 "XFALG.spad" 2253318 2253334 2256220 2256289) (-1262 "XEXPPKG.spad" 2252569 2252595 2253308 2253313) (-1261 "XDPOLY.spad" 2252183 2252199 2252425 2252494) (-1260 "XALG.spad" 2251843 2251854 2252139 2252178) (-1259 "WUTSET.spad" 2247682 2247699 2251489 2251516) (-1258 "WP.spad" 2246881 2246925 2247540 2247607) (-1257 "WHILEAST.spad" 2246679 2246688 2246871 2246876) (-1256 "WHEREAST.spad" 2246350 2246359 2246669 2246674) (-1255 "WFFINTBS.spad" 2243913 2243935 2246340 2246345) (-1254 "WEIER.spad" 2242127 2242138 2243903 2243908) (-1253 "VSPACE.spad" 2241800 2241811 2242095 2242122) (-1252 "VSPACE.spad" 2241493 2241506 2241790 2241795) (-1251 "VOID.spad" 2241170 2241179 2241483 2241488) (-1250 "VIEW.spad" 2238792 2238801 2241160 2241165) (-1249 "VIEWDEF.spad" 2233989 2233998 2238782 2238787) (-1248 "VIEW3D.spad" 2217824 2217833 2233979 2233984) (-1247 "VIEW2D.spad" 2205561 2205570 2217814 2217819) (-1246 "VECTOR.spad" 2204236 2204247 2204487 2204514) (-1245 "VECTOR2.spad" 2202863 2202876 2204226 2204231) (-1244 "VECTCAT.spad" 2200763 2200774 2202831 2202858) (-1243 "VECTCAT.spad" 2198471 2198484 2200541 2200546) (-1242 "VARIABLE.spad" 2198251 2198266 2198461 2198466) (-1241 "UTYPE.spad" 2197895 2197904 2198241 2198246) (-1240 "UTSODETL.spad" 2197188 2197212 2197851 2197856) (-1239 "UTSODE.spad" 2195376 2195396 2197178 2197183) (-1238 "UTS.spad" 2190165 2190193 2193843 2193940) (-1237 "UTSCAT.spad" 2187616 2187632 2190063 2190160) (-1236 "UTSCAT.spad" 2184711 2184729 2187160 2187165) (-1235 "UTS2.spad" 2184304 2184339 2184701 2184706) (-1234 "URAGG.spad" 2178936 2178947 2184294 2184299) (-1233 "URAGG.spad" 2173532 2173545 2178892 2178897) (-1232 "UPXSSING.spad" 2171175 2171201 2172613 2172746) (-1231 "UPXS.spad" 2168323 2168351 2169307 2169456) (-1230 "UPXSCONS.spad" 2166080 2166100 2166455 2166604) (-1229 "UPXSCCA.spad" 2164645 2164665 2165926 2166075) (-1228 "UPXSCCA.spad" 2163352 2163374 2164635 2164640) (-1227 "UPXSCAT.spad" 2161933 2161949 2163198 2163347) (-1226 "UPXS2.spad" 2161474 2161527 2161923 2161928) (-1225 "UPSQFREE.spad" 2159886 2159900 2161464 2161469) (-1224 "UPSCAT.spad" 2157479 2157503 2159784 2159881) (-1223 "UPSCAT.spad" 2154778 2154804 2157085 2157090) (-1222 "UPOLYC.spad" 2149756 2149767 2154620 2154773) (-1221 "UPOLYC.spad" 2144626 2144639 2149492 2149497) (-1220 "UPOLYC2.spad" 2144095 2144114 2144616 2144621) (-1219 "UP.spad" 2141252 2141267 2141645 2141798) (-1218 "UPMP.spad" 2140142 2140155 2141242 2141247) (-1217 "UPDIVP.spad" 2139705 2139719 2140132 2140137) (-1216 "UPDECOMP.spad" 2137942 2137956 2139695 2139700) (-1215 "UPCDEN.spad" 2137149 2137165 2137932 2137937) (-1214 "UP2.spad" 2136511 2136532 2137139 2137144) (-1213 "UNISEG.spad" 2135864 2135875 2136430 2136435) (-1212 "UNISEG2.spad" 2135357 2135370 2135820 2135825) (-1211 "UNIFACT.spad" 2134458 2134470 2135347 2135352) (-1210 "ULS.spad" 2125010 2125038 2126103 2126532) (-1209 "ULSCONS.spad" 2117404 2117424 2117776 2117925) (-1208 "ULSCCAT.spad" 2115133 2115153 2117250 2117399) (-1207 "ULSCCAT.spad" 2112970 2112992 2115089 2115094) (-1206 "ULSCAT.spad" 2111186 2111202 2112816 2112965) (-1205 "ULS2.spad" 2110698 2110751 2111176 2111181) (-1204 "UFD.spad" 2109763 2109772 2110624 2110693) (-1203 "UFD.spad" 2108890 2108901 2109753 2109758) (-1202 "UDVO.spad" 2107737 2107746 2108880 2108885) (-1201 "UDPO.spad" 2105164 2105175 2107693 2107698) (-1200 "TYPE.spad" 2105096 2105105 2105154 2105159) (-1199 "TYPEAST.spad" 2105015 2105024 2105086 2105091) (-1198 "TWOFACT.spad" 2103665 2103680 2105005 2105010) (-1197 "TUPLE.spad" 2103149 2103160 2103564 2103569) (-1196 "TUBETOOL.spad" 2099986 2099995 2103139 2103144) (-1195 "TUBE.spad" 2098627 2098644 2099976 2099981) (-1194 "TS.spad" 2097216 2097232 2098192 2098289) (-1193 "TSETCAT.spad" 2084343 2084360 2097184 2097211) (-1192 "TSETCAT.spad" 2071456 2071475 2084299 2084304) (-1191 "TRMANIP.spad" 2065822 2065839 2071162 2071167) (-1190 "TRIMAT.spad" 2064781 2064806 2065812 2065817) (-1189 "TRIGMNIP.spad" 2063298 2063315 2064771 2064776) (-1188 "TRIGCAT.spad" 2062810 2062819 2063288 2063293) (-1187 "TRIGCAT.spad" 2062320 2062331 2062800 2062805) (-1186 "TREE.spad" 2060891 2060902 2061927 2061954) (-1185 "TRANFUN.spad" 2060722 2060731 2060881 2060886) (-1184 "TRANFUN.spad" 2060551 2060562 2060712 2060717) (-1183 "TOPSP.spad" 2060225 2060234 2060541 2060546) (-1182 "TOOLSIGN.spad" 2059888 2059899 2060215 2060220) (-1181 "TEXTFILE.spad" 2058445 2058454 2059878 2059883) (-1180 "TEX.spad" 2055577 2055586 2058435 2058440) (-1179 "TEX1.spad" 2055133 2055144 2055567 2055572) (-1178 "TEMUTL.spad" 2054688 2054697 2055123 2055128) (-1177 "TBCMPPK.spad" 2052781 2052804 2054678 2054683) (-1176 "TBAGG.spad" 2051817 2051840 2052761 2052776) (-1175 "TBAGG.spad" 2050861 2050886 2051807 2051812) (-1174 "TANEXP.spad" 2050237 2050248 2050851 2050856) (-1173 "TABLE.spad" 2048648 2048671 2048918 2048945) (-1172 "TABLEAU.spad" 2048129 2048140 2048638 2048643) (-1171 "TABLBUMP.spad" 2044912 2044923 2048119 2048124) (-1170 "SYSTEM.spad" 2044186 2044195 2044902 2044907) (-1169 "SYSSOLP.spad" 2041659 2041670 2044176 2044181) (-1168 "SYNTAX.spad" 2037929 2037938 2041649 2041654) (-1167 "SYMTAB.spad" 2035985 2035994 2037919 2037924) (-1166 "SYMS.spad" 2031970 2031979 2035975 2035980) (-1165 "SYMPOLY.spad" 2030977 2030988 2031059 2031186) (-1164 "SYMFUNC.spad" 2030452 2030463 2030967 2030972) (-1163 "SYMBOL.spad" 2027879 2027888 2030442 2030447) (-1162 "SWITCH.spad" 2024636 2024645 2027869 2027874) (-1161 "SUTS.spad" 2021535 2021563 2023103 2023200) (-1160 "SUPXS.spad" 2018670 2018698 2019667 2019816) (-1159 "SUP.spad" 2015439 2015450 2016220 2016373) (-1158 "SUPFRACF.spad" 2014544 2014562 2015429 2015434) (-1157 "SUP2.spad" 2013934 2013947 2014534 2014539) (-1156 "SUMRF.spad" 2012900 2012911 2013924 2013929) (-1155 "SUMFS.spad" 2012533 2012550 2012890 2012895) (-1154 "SULS.spad" 2003072 2003100 2004178 2004607) (-1153 "SUCHTAST.spad" 2002841 2002850 2003062 2003067) (-1152 "SUCH.spad" 2002521 2002536 2002831 2002836) (-1151 "SUBSPACE.spad" 1994528 1994543 2002511 2002516) (-1150 "SUBRESP.spad" 1993688 1993702 1994484 1994489) (-1149 "STTF.spad" 1989787 1989803 1993678 1993683) (-1148 "STTFNC.spad" 1986255 1986271 1989777 1989782) (-1147 "STTAYLOR.spad" 1978653 1978664 1986136 1986141) (-1146 "STRTBL.spad" 1977158 1977175 1977307 1977334) (-1145 "STRING.spad" 1976567 1976576 1976581 1976608) (-1144 "STRICAT.spad" 1976355 1976364 1976535 1976562) (-1143 "STREAM.spad" 1973213 1973224 1975880 1975895) (-1142 "STREAM3.spad" 1972758 1972773 1973203 1973208) (-1141 "STREAM2.spad" 1971826 1971839 1972748 1972753) (-1140 "STREAM1.spad" 1971530 1971541 1971816 1971821) (-1139 "STINPROD.spad" 1970436 1970452 1971520 1971525) (-1138 "STEP.spad" 1969637 1969646 1970426 1970431) (-1137 "STBL.spad" 1968163 1968191 1968330 1968345) (-1136 "STAGG.spad" 1967238 1967249 1968153 1968158) (-1135 "STAGG.spad" 1966311 1966324 1967228 1967233) (-1134 "STACK.spad" 1965662 1965673 1965918 1965945) (-1133 "SREGSET.spad" 1963366 1963383 1965308 1965335) (-1132 "SRDCMPK.spad" 1961911 1961931 1963356 1963361) (-1131 "SRAGG.spad" 1957008 1957017 1961879 1961906) (-1130 "SRAGG.spad" 1952125 1952136 1956998 1957003) (-1129 "SQMATRIX.spad" 1949741 1949759 1950657 1950744) (-1128 "SPLTREE.spad" 1944293 1944306 1949177 1949204) (-1127 "SPLNODE.spad" 1940881 1940894 1944283 1944288) (-1126 "SPFCAT.spad" 1939658 1939667 1940871 1940876) (-1125 "SPECOUT.spad" 1938208 1938217 1939648 1939653) (-1124 "SPADXPT.spad" 1930347 1930356 1938198 1938203) (-1123 "spad-parser.spad" 1929812 1929821 1930337 1930342) (-1122 "SPADAST.spad" 1929513 1929522 1929802 1929807) (-1121 "SPACEC.spad" 1913526 1913537 1929503 1929508) (-1120 "SPACE3.spad" 1913302 1913313 1913516 1913521) (-1119 "SORTPAK.spad" 1912847 1912860 1913258 1913263) (-1118 "SOLVETRA.spad" 1910604 1910615 1912837 1912842) (-1117 "SOLVESER.spad" 1909124 1909135 1910594 1910599) (-1116 "SOLVERAD.spad" 1905134 1905145 1909114 1909119) (-1115 "SOLVEFOR.spad" 1903554 1903572 1905124 1905129) (-1114 "SNTSCAT.spad" 1903154 1903171 1903522 1903549) (-1113 "SMTS.spad" 1901414 1901440 1902719 1902816) (-1112 "SMP.spad" 1898853 1898873 1899243 1899370) (-1111 "SMITH.spad" 1897696 1897721 1898843 1898848) (-1110 "SMATCAT.spad" 1895806 1895836 1897640 1897691) (-1109 "SMATCAT.spad" 1893848 1893880 1895684 1895689) (-1108 "SKAGG.spad" 1892809 1892820 1893816 1893843) (-1107 "SINT.spad" 1891117 1891126 1892675 1892804) (-1106 "SIMPAN.spad" 1890845 1890854 1891107 1891112) (-1105 "SIG.spad" 1890173 1890182 1890835 1890840) (-1104 "SIGNRF.spad" 1889281 1889292 1890163 1890168) (-1103 "SIGNEF.spad" 1888550 1888567 1889271 1889276) (-1102 "SIGAST.spad" 1887931 1887940 1888540 1888545) (-1101 "SHP.spad" 1885849 1885864 1887887 1887892) (-1100 "SHDP.spad" 1875560 1875587 1876069 1876200) (-1099 "SGROUP.spad" 1875168 1875177 1875550 1875555) (-1098 "SGROUP.spad" 1874774 1874785 1875158 1875163) (-1097 "SGCF.spad" 1867655 1867664 1874764 1874769) (-1096 "SFRTCAT.spad" 1866583 1866600 1867623 1867650) (-1095 "SFRGCD.spad" 1865646 1865666 1866573 1866578) (-1094 "SFQCMPK.spad" 1860283 1860303 1865636 1865641) (-1093 "SFORT.spad" 1859718 1859732 1860273 1860278) (-1092 "SEXOF.spad" 1859561 1859601 1859708 1859713) (-1091 "SEX.spad" 1859453 1859462 1859551 1859556) (-1090 "SEXCAT.spad" 1857004 1857044 1859443 1859448) (-1089 "SET.spad" 1855304 1855315 1856425 1856464) (-1088 "SETMN.spad" 1853738 1853755 1855294 1855299) (-1087 "SETCAT.spad" 1853223 1853232 1853728 1853733) (-1086 "SETCAT.spad" 1852706 1852717 1853213 1853218) (-1085 "SETAGG.spad" 1849227 1849238 1852686 1852701) (-1084 "SETAGG.spad" 1845756 1845769 1849217 1849222) (-1083 "SEQAST.spad" 1845459 1845468 1845746 1845751) (-1082 "SEGXCAT.spad" 1844581 1844594 1845449 1845454) (-1081 "SEG.spad" 1844394 1844405 1844500 1844505) (-1080 "SEGCAT.spad" 1843301 1843312 1844384 1844389) (-1079 "SEGBIND.spad" 1842373 1842384 1843256 1843261) (-1078 "SEGBIND2.spad" 1842069 1842082 1842363 1842368) (-1077 "SEGAST.spad" 1841783 1841792 1842059 1842064) (-1076 "SEG2.spad" 1841208 1841221 1841739 1841744) (-1075 "SDVAR.spad" 1840484 1840495 1841198 1841203) (-1074 "SDPOL.spad" 1837874 1837885 1838165 1838292) (-1073 "SCPKG.spad" 1835953 1835964 1837864 1837869) (-1072 "SCOPE.spad" 1835098 1835107 1835943 1835948) (-1071 "SCACHE.spad" 1833780 1833791 1835088 1835093) (-1070 "SASTCAT.spad" 1833689 1833698 1833770 1833775) (-1069 "SAOS.spad" 1833561 1833570 1833679 1833684) (-1068 "SAERFFC.spad" 1833274 1833294 1833551 1833556) (-1067 "SAE.spad" 1831449 1831465 1832060 1832195) (-1066 "SAEFACT.spad" 1831150 1831170 1831439 1831444) (-1065 "RURPK.spad" 1828791 1828807 1831140 1831145) (-1064 "RULESET.spad" 1828232 1828256 1828781 1828786) (-1063 "RULE.spad" 1826436 1826460 1828222 1828227) (-1062 "RULECOLD.spad" 1826288 1826301 1826426 1826431) (-1061 "RSTRCAST.spad" 1826005 1826014 1826278 1826283) (-1060 "RSETGCD.spad" 1822383 1822403 1825995 1826000) (-1059 "RSETCAT.spad" 1812167 1812184 1822351 1822378) (-1058 "RSETCAT.spad" 1801971 1801990 1812157 1812162) (-1057 "RSDCMPK.spad" 1800423 1800443 1801961 1801966) (-1056 "RRCC.spad" 1798807 1798837 1800413 1800418) (-1055 "RRCC.spad" 1797189 1797221 1798797 1798802) (-1054 "RPTAST.spad" 1796891 1796900 1797179 1797184) (-1053 "RPOLCAT.spad" 1776251 1776266 1796759 1796886) (-1052 "RPOLCAT.spad" 1755325 1755342 1775835 1775840) (-1051 "ROUTINE.spad" 1751188 1751197 1753972 1753999) (-1050 "ROMAN.spad" 1750516 1750525 1751054 1751183) (-1049 "ROIRC.spad" 1749596 1749628 1750506 1750511) (-1048 "RNS.spad" 1748499 1748508 1749498 1749591) (-1047 "RNS.spad" 1747488 1747499 1748489 1748494) (-1046 "RNG.spad" 1747223 1747232 1747478 1747483) (-1045 "RMODULE.spad" 1746861 1746872 1747213 1747218) (-1044 "RMCAT2.spad" 1746269 1746326 1746851 1746856) (-1043 "RMATRIX.spad" 1745093 1745112 1745436 1745475) (-1042 "RMATCAT.spad" 1740626 1740657 1745049 1745088) (-1041 "RMATCAT.spad" 1736049 1736082 1740474 1740479) (-1040 "RINTERP.spad" 1735937 1735957 1736039 1736044) (-1039 "RING.spad" 1735407 1735416 1735917 1735932) (-1038 "RING.spad" 1734885 1734896 1735397 1735402) (-1037 "RIDIST.spad" 1734269 1734278 1734875 1734880) (-1036 "RGCHAIN.spad" 1732848 1732864 1733754 1733781) (-1035 "RGBCSPC.spad" 1732629 1732641 1732838 1732843) (-1034 "RGBCMDL.spad" 1732159 1732171 1732619 1732624) (-1033 "RF.spad" 1729773 1729784 1732149 1732154) (-1032 "RFFACTOR.spad" 1729235 1729246 1729763 1729768) (-1031 "RFFACT.spad" 1728970 1728982 1729225 1729230) (-1030 "RFDIST.spad" 1727958 1727967 1728960 1728965) (-1029 "RETSOL.spad" 1727375 1727388 1727948 1727953) (-1028 "RETRACT.spad" 1726803 1726814 1727365 1727370) (-1027 "RETRACT.spad" 1726229 1726242 1726793 1726798) (-1026 "RETAST.spad" 1726041 1726050 1726219 1726224) (-1025 "RESULT.spad" 1724101 1724110 1724688 1724715) (-1024 "RESRING.spad" 1723448 1723495 1724039 1724096) (-1023 "RESLATC.spad" 1722772 1722783 1723438 1723443) (-1022 "REPSQ.spad" 1722501 1722512 1722762 1722767) (-1021 "REP.spad" 1720053 1720062 1722491 1722496) (-1020 "REPDB.spad" 1719758 1719769 1720043 1720048) (-1019 "REP2.spad" 1709330 1709341 1719600 1719605) (-1018 "REP1.spad" 1703320 1703331 1709280 1709285) (-1017 "REGSET.spad" 1701117 1701134 1702966 1702993) (-1016 "REF.spad" 1700446 1700457 1701072 1701077) (-1015 "REDORDER.spad" 1699622 1699639 1700436 1700441) (-1014 "RECLOS.spad" 1698405 1698425 1699109 1699202) (-1013 "REALSOLV.spad" 1697537 1697546 1698395 1698400) (-1012 "REAL.spad" 1697409 1697418 1697527 1697532) (-1011 "REAL0Q.spad" 1694691 1694706 1697399 1697404) (-1010 "REAL0.spad" 1691519 1691534 1694681 1694686) (-1009 "RDUCEAST.spad" 1691240 1691249 1691509 1691514) (-1008 "RDIV.spad" 1690891 1690916 1691230 1691235) (-1007 "RDIST.spad" 1690454 1690465 1690881 1690886) (-1006 "RDETRS.spad" 1689250 1689268 1690444 1690449) (-1005 "RDETR.spad" 1687357 1687375 1689240 1689245) (-1004 "RDEEFS.spad" 1686430 1686447 1687347 1687352) (-1003 "RDEEF.spad" 1685426 1685443 1686420 1686425) (-1002 "RCFIELD.spad" 1682612 1682621 1685328 1685421) (-1001 "RCFIELD.spad" 1679884 1679895 1682602 1682607) (-1000 "RCAGG.spad" 1677796 1677807 1679874 1679879) (-999 "RCAGG.spad" 1675636 1675648 1677715 1677720) (-998 "RATRET.spad" 1674997 1675007 1675626 1675631) (-997 "RATFACT.spad" 1674690 1674701 1674987 1674992) (-996 "RANDSRC.spad" 1674010 1674018 1674680 1674685) (-995 "RADUTIL.spad" 1673765 1673773 1674000 1674005) (-994 "RADIX.spad" 1670667 1670680 1672232 1672325) (-993 "RADFF.spad" 1669081 1669117 1669199 1669355) (-992 "RADCAT.spad" 1668675 1668683 1669071 1669076) (-991 "RADCAT.spad" 1668267 1668277 1668665 1668670) (-990 "QUEUE.spad" 1667610 1667620 1667874 1667901) (-989 "QUAT.spad" 1666192 1666202 1666534 1666599) (-988 "QUATCT2.spad" 1665811 1665829 1666182 1666187) (-987 "QUATCAT.spad" 1663976 1663986 1665741 1665806) (-986 "QUATCAT.spad" 1661892 1661904 1663659 1663664) (-985 "QUAGG.spad" 1660718 1660728 1661860 1661887) (-984 "QQUTAST.spad" 1660487 1660495 1660708 1660713) (-983 "QFORM.spad" 1659950 1659964 1660477 1660482) (-982 "QFCAT.spad" 1658653 1658663 1659852 1659945) (-981 "QFCAT.spad" 1656947 1656959 1658148 1658153) (-980 "QFCAT2.spad" 1656638 1656654 1656937 1656942) (-979 "QEQUAT.spad" 1656195 1656203 1656628 1656633) (-978 "QCMPACK.spad" 1650942 1650961 1656185 1656190) (-977 "QALGSET.spad" 1647017 1647049 1650856 1650861) (-976 "QALGSET2.spad" 1645013 1645031 1647007 1647012) (-975 "PWFFINTB.spad" 1642323 1642344 1645003 1645008) (-974 "PUSHVAR.spad" 1641652 1641671 1642313 1642318) (-973 "PTRANFN.spad" 1637778 1637788 1641642 1641647) (-972 "PTPACK.spad" 1634866 1634876 1637768 1637773) (-971 "PTFUNC2.spad" 1634687 1634701 1634856 1634861) (-970 "PTCAT.spad" 1633936 1633946 1634655 1634682) (-969 "PSQFR.spad" 1633243 1633267 1633926 1633931) (-968 "PSEUDLIN.spad" 1632101 1632111 1633233 1633238) (-967 "PSETPK.spad" 1617534 1617550 1631979 1631984) (-966 "PSETCAT.spad" 1611454 1611477 1617514 1617529) (-965 "PSETCAT.spad" 1605348 1605373 1611410 1611415) (-964 "PSCURVE.spad" 1604331 1604339 1605338 1605343) (-963 "PSCAT.spad" 1603098 1603127 1604229 1604326) (-962 "PSCAT.spad" 1601955 1601986 1603088 1603093) (-961 "PRTITION.spad" 1600900 1600908 1601945 1601950) (-960 "PRTDAST.spad" 1600619 1600627 1600890 1600895) (-959 "PRS.spad" 1590181 1590198 1600575 1600580) (-958 "PRQAGG.spad" 1589612 1589622 1590149 1590176) (-957 "PROPLOG.spad" 1589015 1589023 1589602 1589607) (-956 "PROPFRML.spad" 1586933 1586944 1589005 1589010) (-955 "PROPERTY.spad" 1586427 1586435 1586923 1586928) (-954 "PRODUCT.spad" 1584107 1584119 1584393 1584448) (-953 "PR.spad" 1582493 1582505 1583198 1583325) (-952 "PRINT.spad" 1582245 1582253 1582483 1582488) (-951 "PRIMES.spad" 1580496 1580506 1582235 1582240) (-950 "PRIMELT.spad" 1578477 1578491 1580486 1580491) (-949 "PRIMCAT.spad" 1578100 1578108 1578467 1578472) (-948 "PRIMARR.spad" 1577105 1577115 1577283 1577310) (-947 "PRIMARR2.spad" 1575828 1575840 1577095 1577100) (-946 "PREASSOC.spad" 1575200 1575212 1575818 1575823) (-945 "PPCURVE.spad" 1574337 1574345 1575190 1575195) (-944 "PORTNUM.spad" 1574112 1574120 1574327 1574332) (-943 "POLYROOT.spad" 1572941 1572963 1574068 1574073) (-942 "POLY.spad" 1570238 1570248 1570755 1570882) (-941 "POLYLIFT.spad" 1569499 1569522 1570228 1570233) (-940 "POLYCATQ.spad" 1567601 1567623 1569489 1569494) (-939 "POLYCAT.spad" 1561007 1561028 1567469 1567596) (-938 "POLYCAT.spad" 1553715 1553738 1560179 1560184) (-937 "POLY2UP.spad" 1553163 1553177 1553705 1553710) (-936 "POLY2.spad" 1552758 1552770 1553153 1553158) (-935 "POLUTIL.spad" 1551699 1551728 1552714 1552719) (-934 "POLTOPOL.spad" 1550447 1550462 1551689 1551694) (-933 "POINT.spad" 1549286 1549296 1549373 1549400) (-932 "PNTHEORY.spad" 1545952 1545960 1549276 1549281) (-931 "PMTOOLS.spad" 1544709 1544723 1545942 1545947) (-930 "PMSYM.spad" 1544254 1544264 1544699 1544704) (-929 "PMQFCAT.spad" 1543841 1543855 1544244 1544249) (-928 "PMPRED.spad" 1543310 1543324 1543831 1543836) (-927 "PMPREDFS.spad" 1542754 1542776 1543300 1543305) (-926 "PMPLCAT.spad" 1541824 1541842 1542686 1542691) (-925 "PMLSAGG.spad" 1541405 1541419 1541814 1541819) (-924 "PMKERNEL.spad" 1540972 1540984 1541395 1541400) (-923 "PMINS.spad" 1540548 1540558 1540962 1540967) (-922 "PMFS.spad" 1540121 1540139 1540538 1540543) (-921 "PMDOWN.spad" 1539407 1539421 1540111 1540116) (-920 "PMASS.spad" 1538419 1538427 1539397 1539402) (-919 "PMASSFS.spad" 1537388 1537404 1538409 1538414) (-918 "PLOTTOOL.spad" 1537168 1537176 1537378 1537383) (-917 "PLOT.spad" 1531999 1532007 1537158 1537163) (-916 "PLOT3D.spad" 1528419 1528427 1531989 1531994) (-915 "PLOT1.spad" 1527560 1527570 1528409 1528414) (-914 "PLEQN.spad" 1514776 1514803 1527550 1527555) (-913 "PINTERP.spad" 1514392 1514411 1514766 1514771) (-912 "PINTERPA.spad" 1514174 1514190 1514382 1514387) (-911 "PI.spad" 1513781 1513789 1514148 1514169) (-910 "PID.spad" 1512737 1512745 1513707 1513776) (-909 "PICOERCE.spad" 1512394 1512404 1512727 1512732) (-908 "PGROEB.spad" 1510991 1511005 1512384 1512389) (-907 "PGE.spad" 1502244 1502252 1510981 1510986) (-906 "PGCD.spad" 1501126 1501143 1502234 1502239) (-905 "PFRPAC.spad" 1500269 1500279 1501116 1501121) (-904 "PFR.spad" 1496926 1496936 1500171 1500264) (-903 "PFOTOOLS.spad" 1496184 1496200 1496916 1496921) (-902 "PFOQ.spad" 1495554 1495572 1496174 1496179) (-901 "PFO.spad" 1494973 1495000 1495544 1495549) (-900 "PF.spad" 1494547 1494559 1494778 1494871) (-899 "PFECAT.spad" 1492213 1492221 1494473 1494542) (-898 "PFECAT.spad" 1489907 1489917 1492169 1492174) (-897 "PFBRU.spad" 1487777 1487789 1489897 1489902) (-896 "PFBR.spad" 1485315 1485338 1487767 1487772) (-895 "PERM.spad" 1480996 1481006 1485145 1485160) (-894 "PERMGRP.spad" 1475732 1475742 1480986 1480991) (-893 "PERMCAT.spad" 1474284 1474294 1475712 1475727) (-892 "PERMAN.spad" 1472816 1472830 1474274 1474279) (-891 "PENDTREE.spad" 1472155 1472165 1472445 1472450) (-890 "PDRING.spad" 1470646 1470656 1472135 1472150) (-889 "PDRING.spad" 1469145 1469157 1470636 1470641) (-888 "PDEPROB.spad" 1468160 1468168 1469135 1469140) (-887 "PDEPACK.spad" 1462162 1462170 1468150 1468155) (-886 "PDECOMP.spad" 1461624 1461641 1462152 1462157) (-885 "PDECAT.spad" 1459978 1459986 1461614 1461619) (-884 "PCOMP.spad" 1459829 1459842 1459968 1459973) (-883 "PBWLB.spad" 1458411 1458428 1459819 1459824) (-882 "PATTERN.spad" 1452842 1452852 1458401 1458406) (-881 "PATTERN2.spad" 1452578 1452590 1452832 1452837) (-880 "PATTERN1.spad" 1450880 1450896 1452568 1452573) (-879 "PATRES.spad" 1448427 1448439 1450870 1450875) (-878 "PATRES2.spad" 1448089 1448103 1448417 1448422) (-877 "PATMATCH.spad" 1446246 1446277 1447797 1447802) (-876 "PATMAB.spad" 1445671 1445681 1446236 1446241) (-875 "PATLRES.spad" 1444755 1444769 1445661 1445666) (-874 "PATAB.spad" 1444519 1444529 1444745 1444750) (-873 "PARTPERM.spad" 1441881 1441889 1444509 1444514) (-872 "PARSURF.spad" 1441309 1441337 1441871 1441876) (-871 "PARSU2.spad" 1441104 1441120 1441299 1441304) (-870 "script-parser.spad" 1440624 1440632 1441094 1441099) (-869 "PARSCURV.spad" 1440052 1440080 1440614 1440619) (-868 "PARSC2.spad" 1439841 1439857 1440042 1440047) (-867 "PARPCURV.spad" 1439299 1439327 1439831 1439836) (-866 "PARPC2.spad" 1439088 1439104 1439289 1439294) (-865 "PAN2EXPR.spad" 1438500 1438508 1439078 1439083) (-864 "PALETTE.spad" 1437470 1437478 1438490 1438495) (-863 "PAIR.spad" 1436453 1436466 1437058 1437063) (-862 "PADICRC.spad" 1433783 1433801 1434958 1435051) (-861 "PADICRAT.spad" 1431798 1431810 1432019 1432112) (-860 "PADIC.spad" 1431493 1431505 1431724 1431793) (-859 "PADICCT.spad" 1430034 1430046 1431419 1431488) (-858 "PADEPAC.spad" 1428713 1428732 1430024 1430029) (-857 "PADE.spad" 1427453 1427469 1428703 1428708) (-856 "OWP.spad" 1426693 1426723 1427311 1427378) (-855 "OVAR.spad" 1426474 1426497 1426683 1426688) (-854 "OUT.spad" 1425558 1425566 1426464 1426469) (-853 "OUTFORM.spad" 1414854 1414862 1425548 1425553) (-852 "OUTBFILE.spad" 1414272 1414280 1414844 1414849) (-851 "OUTBCON.spad" 1413550 1413558 1414262 1414267) (-850 "OUTBCON.spad" 1412826 1412836 1413540 1413545) (-849 "OSI.spad" 1412301 1412309 1412816 1412821) (-848 "OSGROUP.spad" 1412219 1412227 1412291 1412296) (-847 "ORTHPOL.spad" 1410680 1410690 1412136 1412141) (-846 "OREUP.spad" 1410133 1410161 1410360 1410399) (-845 "ORESUP.spad" 1409432 1409456 1409813 1409852) (-844 "OREPCTO.spad" 1407251 1407263 1409352 1409357) (-843 "OREPCAT.spad" 1401308 1401318 1407207 1407246) (-842 "OREPCAT.spad" 1395255 1395267 1401156 1401161) (-841 "ORDSET.spad" 1394421 1394429 1395245 1395250) (-840 "ORDSET.spad" 1393585 1393595 1394411 1394416) (-839 "ORDRING.spad" 1392975 1392983 1393565 1393580) (-838 "ORDRING.spad" 1392373 1392383 1392965 1392970) (-837 "ORDMON.spad" 1392228 1392236 1392363 1392368) (-836 "ORDFUNS.spad" 1391354 1391370 1392218 1392223) (-835 "ORDFIN.spad" 1391288 1391296 1391344 1391349) (-834 "ORDCOMP.spad" 1389753 1389763 1390835 1390864) (-833 "ORDCOMP2.spad" 1389038 1389050 1389743 1389748) (-832 "OPTPROB.spad" 1387676 1387684 1389028 1389033) (-831 "OPTPACK.spad" 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279278 279283) (-235 "DIOSP.spad" 277179 277187 278344 278349) (-234 "DIOPS.spad" 276163 276173 277159 277174) (-233 "DIOPS.spad" 275121 275133 276119 276124) (-232 "DIFRING.spad" 274413 274421 275101 275116) (-231 "DIFRING.spad" 273713 273723 274403 274408) (-230 "DIFEXT.spad" 272872 272882 273693 273708) (-229 "DIFEXT.spad" 271948 271960 272771 272776) (-228 "DIAGG.spad" 271578 271588 271928 271943) (-227 "DIAGG.spad" 271216 271228 271568 271573) (-226 "DHMATRIX.spad" 269520 269530 270673 270700) (-225 "DFSFUN.spad" 262928 262936 269510 269515) (-224 "DFLOAT.spad" 259649 259657 262818 262923) (-223 "DFINTTLS.spad" 257858 257874 259639 259644) (-222 "DERHAM.spad" 255768 255800 257838 257853) (-221 "DEQUEUE.spad" 255086 255096 255375 255402) (-220 "DEGRED.spad" 254701 254715 255076 255081) (-219 "DEFINTRF.spad" 252226 252236 254691 254696) (-218 "DEFINTEF.spad" 250722 250738 252216 252221) (-217 "DEFAST.spad" 250090 250098 250712 250717) (-216 "DECIMAL.spad" 248196 248204 248557 248650) (-215 "DDFACT.spad" 245995 246012 248186 248191) (-214 "DBLRESP.spad" 245593 245617 245985 245990) (-213 "DBASE.spad" 244247 244257 245583 245588) (-212 "DATAARY.spad" 243709 243722 244237 244242) (-211 "D03FAFA.spad" 243537 243545 243699 243704) (-210 "D03EEFA.spad" 243357 243365 243527 243532) (-209 "D03AGNT.spad" 242437 242445 243347 243352) (-208 "D02EJFA.spad" 241899 241907 242427 242432) (-207 "D02CJFA.spad" 241377 241385 241889 241894) (-206 "D02BHFA.spad" 240867 240875 241367 241372) (-205 "D02BBFA.spad" 240357 240365 240857 240862) (-204 "D02AGNT.spad" 235161 235169 240347 240352) (-203 "D01WGTS.spad" 233480 233488 235151 235156) (-202 "D01TRNS.spad" 233457 233465 233470 233475) (-201 "D01GBFA.spad" 232979 232987 233447 233452) (-200 "D01FCFA.spad" 232501 232509 232969 232974) (-199 "D01ASFA.spad" 231969 231977 232491 232496) (-198 "D01AQFA.spad" 231415 231423 231959 231964) (-197 "D01APFA.spad" 230839 230847 231405 231410) (-196 "D01ANFA.spad" 230333 230341 230829 230834) (-195 "D01AMFA.spad" 229843 229851 230323 230328) (-194 "D01ALFA.spad" 229383 229391 229833 229838) (-193 "D01AKFA.spad" 228909 228917 229373 229378) (-192 "D01AJFA.spad" 228432 228440 228899 228904) (-191 "D01AGNT.spad" 224491 224499 228422 228427) (-190 "CYCLOTOM.spad" 223997 224005 224481 224486) (-189 "CYCLES.spad" 220829 220837 223987 223992) (-188 "CVMP.spad" 220246 220256 220819 220824) (-187 "CTRIGMNP.spad" 218736 218752 220236 220241) (-186 "CTOR.spad" 218636 218644 218726 218731) (-185 "CTORKIND.spad" 218239 218247 218626 218631) (-184 "CTORCAT.spad" 217694 217702 218229 218234) (-183 "CTORCAT.spad" 217147 217157 217684 217689) (-182 "CTORCALL.spad" 216727 216735 217137 217142) (-181 "CSTTOOLS.spad" 215970 215983 216717 216722) (-180 "CRFP.spad" 209674 209687 215960 215965) (-179 "CRCEAST.spad" 209394 209402 209664 209669) (-178 "CRAPACK.spad" 208437 208447 209384 209389) (-177 "CPMATCH.spad" 207937 207952 208362 208367) (-176 "CPIMA.spad" 207642 207661 207927 207932) (-175 "COORDSYS.spad" 202535 202545 207632 207637) (-174 "CONTOUR.spad" 201937 201945 202525 202530) (-173 "CONTFRAC.spad" 197549 197559 201839 201932) (-172 "CONDUIT.spad" 197307 197315 197539 197544) (-171 "COMRING.spad" 196981 196989 197245 197302) (-170 "COMPPROP.spad" 196495 196503 196971 196976) (-169 "COMPLPAT.spad" 196262 196277 196485 196490) (-168 "COMPLEX.spad" 190298 190308 190542 190791) (-167 "COMPLEX2.spad" 190011 190023 190288 190293) (-166 "COMPFACT.spad" 189613 189627 190001 190006) (-165 "COMPCAT.spad" 187751 187761 189359 189608) (-164 "COMPCAT.spad" 185570 185582 187180 187185) (-163 "COMMUPC.spad" 185316 185334 185560 185565) (-162 "COMMONOP.spad" 184849 184857 185306 185311) (-161 "COMM.spad" 184658 184666 184839 184844) (-160 "COMMAAST.spad" 184421 184429 184648 184653) (-159 "COMBOPC.spad" 183326 183334 184411 184416) (-158 "COMBINAT.spad" 182071 182081 183316 183321) (-157 "COMBF.spad" 179439 179455 182061 182066) (-156 "COLOR.spad" 178276 178284 179429 179434) (-155 "COLONAST.spad" 177942 177950 178266 178271) (-154 "CMPLXRT.spad" 177651 177668 177932 177937) (-153 "CLLCTAST.spad" 177313 177321 177641 177646) (-152 "CLIP.spad" 173405 173413 177303 177308) (-151 "CLIF.spad" 172044 172060 173361 173400) (-150 "CLAGG.spad" 168529 168539 172034 172039) (-149 "CLAGG.spad" 164885 164897 168392 168397) (-148 "CINTSLPE.spad" 164210 164223 164875 164880) (-147 "CHVAR.spad" 162288 162310 164200 164205) (-146 "CHARZ.spad" 162203 162211 162268 162283) (-145 "CHARPOL.spad" 161711 161721 162193 162198) (-144 "CHARNZ.spad" 161464 161472 161691 161706) (-143 "CHAR.spad" 159332 159340 161454 161459) (-142 "CFCAT.spad" 158648 158656 159322 159327) (-141 "CDEN.spad" 157806 157820 158638 158643) (-140 "CCLASS.spad" 155955 155963 157217 157256) (-139 "CATEGORY.spad" 155045 155053 155945 155950) (-138 "CATCTOR.spad" 154936 154944 155035 155040) (-137 "CATAST.spad" 154563 154571 154926 154931) (-136 "CASEAST.spad" 154277 154285 154553 154558) (-135 "CARTEN.spad" 149380 149404 154267 154272) (-134 "CARTEN2.spad" 148766 148793 149370 149375) (-133 "CARD.spad" 146055 146063 148740 148761) (-132 "CAPSLAST.spad" 145829 145837 146045 146050) (-131 "CACHSET.spad" 145451 145459 145819 145824) (-130 "CABMON.spad" 145004 145012 145441 145446) (-129 "BYTE.spad" 144325 144333 144994 144999) (-128 "BYTEBUF.spad" 142157 142165 143494 143521) (-127 "BTREE.spad" 141226 141236 141764 141791) (-126 "BTOURN.spad" 140229 140239 140833 140860) (-125 "BTCAT.spad" 139617 139627 140197 140224) (-124 "BTCAT.spad" 139025 139037 139607 139612) (-123 "BTAGG.spad" 138147 138155 138993 139020) (-122 "BTAGG.spad" 137289 137299 138137 138142) (-121 "BSTREE.spad" 136024 136034 136896 136923) (-120 "BRILL.spad" 134219 134230 136014 136019) (-119 "BRAGG.spad" 133143 133153 134209 134214) (-118 "BRAGG.spad" 132031 132043 133099 133104) (-117 "BPADICRT.spad" 130012 130024 130267 130360) (-116 "BPADIC.spad" 129676 129688 129938 130007) (-115 "BOUNDZRO.spad" 129332 129349 129666 129671) (-114 "BOP.spad" 124796 124804 129322 129327) (-113 "BOP1.spad" 122182 122192 124752 124757) (-112 "BOOLEAN.spad" 121506 121514 122172 122177) (-111 "BMODULE.spad" 121218 121230 121474 121501) (-110 "BITS.spad" 120637 120645 120854 120881) (-109 "BINDING.spad" 120056 120064 120627 120632) (-108 "BINARY.spad" 118167 118175 118523 118616) (-107 "BGAGG.spad" 117364 117374 118147 118162) (-106 "BGAGG.spad" 116569 116581 117354 117359) (-105 "BFUNCT.spad" 116133 116141 116549 116564) (-104 "BEZOUT.spad" 115267 115294 116083 116088) (-103 "BBTREE.spad" 112086 112096 114874 114901) (-102 "BASTYPE.spad" 111758 111766 112076 112081) (-101 "BASTYPE.spad" 111428 111438 111748 111753) (-100 "BALFACT.spad" 110867 110880 111418 111423) (-99 "AUTOMOR.spad" 110314 110323 110847 110862) (-98 "ATTREG.spad" 107033 107040 110066 110309) (-97 "ATTRBUT.spad" 103056 103063 107013 107028) (-96 "ATTRAST.spad" 102773 102780 103046 103051) (-95 "ATRIG.spad" 102243 102250 102763 102768) (-94 "ATRIG.spad" 101711 101720 102233 102238) (-93 "ASTCAT.spad" 101615 101622 101701 101706) (-92 "ASTCAT.spad" 101517 101526 101605 101610) (-91 "ASTACK.spad" 100850 100859 101124 101151) (-90 "ASSOCEQ.spad" 99650 99661 100806 100811) (-89 "ASP9.spad" 98731 98744 99640 99645) (-88 "ASP8.spad" 97774 97787 98721 98726) (-87 "ASP80.spad" 97096 97109 97764 97769) (-86 "ASP7.spad" 96256 96269 97086 97091) (-85 "ASP78.spad" 95707 95720 96246 96251) (-84 "ASP77.spad" 95076 95089 95697 95702) (-83 "ASP74.spad" 94168 94181 95066 95071) (-82 "ASP73.spad" 93439 93452 94158 94163) (-81 "ASP6.spad" 92306 92319 93429 93434) (-80 "ASP55.spad" 90815 90828 92296 92301) (-79 "ASP50.spad" 88632 88645 90805 90810) (-78 "ASP4.spad" 87927 87940 88622 88627) (-77 "ASP49.spad" 86926 86939 87917 87922) (-76 "ASP42.spad" 85333 85372 86916 86921) (-75 "ASP41.spad" 83912 83951 85323 85328) (-74 "ASP35.spad" 82900 82913 83902 83907) (-73 "ASP34.spad" 82201 82214 82890 82895) (-72 "ASP33.spad" 81761 81774 82191 82196) (-71 "ASP31.spad" 80901 80914 81751 81756) (-70 "ASP30.spad" 79793 79806 80891 80896) (-69 "ASP29.spad" 79259 79272 79783 79788) (-68 "ASP28.spad" 70532 70545 79249 79254) (-67 "ASP27.spad" 69429 69442 70522 70527) (-66 "ASP24.spad" 68516 68529 69419 69424) (-65 "ASP20.spad" 67980 67993 68506 68511) (-64 "ASP1.spad" 67361 67374 67970 67975) (-63 "ASP19.spad" 62047 62060 67351 67356) (-62 "ASP12.spad" 61461 61474 62037 62042) (-61 "ASP10.spad" 60732 60745 61451 61456) (-60 "ARRAY2.spad" 60092 60101 60339 60366) (-59 "ARRAY1.spad" 58927 58936 59275 59302) (-58 "ARRAY12.spad" 57596 57607 58917 58922) (-57 "ARR2CAT.spad" 53258 53279 57564 57591) (-56 "ARR2CAT.spad" 48940 48963 53248 53253) (-55 "ARITY.spad" 48508 48515 48930 48935) (-54 "APPRULE.spad" 47752 47774 48498 48503) (-53 "APPLYORE.spad" 47367 47380 47742 47747) (-52 "ANY.spad" 45709 45716 47357 47362) (-51 "ANY1.spad" 44780 44789 45699 45704) (-50 "ANTISYM.spad" 43219 43235 44760 44775) (-49 "ANON.spad" 42916 42923 43209 43214) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) 
+\ No newline at end of file
author	dos-reis <gdr@axiomatics.org>	2008-12-27 02:20:07 +0000
committer	dos-reis <gdr@axiomatics.org>	2008-12-27 02:20:07 +0000
commit	fdc64c2abcdf53d9afee4541503d1d17763ee92c (patch)
tree	f15a829314e96145be04e1eeeee3a16049faa572 /src/share/algebra/browse.daase
parent	fb209a840dc764bdfa285ad3cb7575df21a43289 (diff)
download	open-axiom-fdc64c2abcdf53d9afee4541503d1d17763ee92c.tar.gz