Use Functorial more often.

author: dos-reis <gdr@axiomatics.org> 2013-05-20 04:55:09 +0000
committer: dos-reis <gdr@axiomatics.org> 2013-05-20 04:55:09 +0000
commit: 1316b335ecc97eeaaa4c91258b31c789d8f4b0d3 (patch)
tree: ed428505010ccaac4e4d2bfeb4f667b8039c50f1 /src/share/algebra/browse.daase
parent: 4c3e77d5efc19d097c7995f7d5f64eee0400ff66 (diff)
download: open-axiom-1316b335ecc97eeaaa4c91258b31c789d8f4b0d3.tar.gz
1 files changed, 41 insertions, 41 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index c360ce6e..6d70f85c 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
 
-(1968382 . 3578010131)       
+(1965589 . 3578013001)       
 (-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 shallowly mutable 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 
@@ -111,13 +111,13 @@ NIL
 (-45 |Key| |Entry|) 
 ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) 
 NIL 
-((OR (-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-758)))) (-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))))) (OR (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-758))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-486) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|))) (-12 (|HasCategory| $ (|%list| (QUOTE -1037) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-758)))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| $ (|%list| (QUOTE -1037) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|)))))) 
+((OR (-12 (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-758)))) (-12 (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))))) (OR (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-758))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-486) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|))) (-12 (|HasCategory| $ (|%list| (QUOTE -1037) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-758)))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| $ (|%list| (QUOTE -1037) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|)))))) 
 (-46 S R E) 
-((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
+((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#2| (QUOTE (-497))) (|HasCategory| |#2| (QUOTE (-118))) (|HasCategory| |#2| (QUOTE (-120))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-312)))) 
 (-47 R E) 
-((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#1|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#2| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
+((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#1|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|degree| ((|#2| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3992 . T) (-3993 . T) (-3995 . T)) 
 NIL 
 (-48) 
@@ -129,7 +129,7 @@ NIL
 NIL 
 NIL 
 (-50 R |lVar|) 
-((|constructor| (NIL "The domain of antisymmetric polynomials.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,p)} changes each coefficient of \\spad{p} by the application of \\spad{f}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} returns the homogeneous degree of \\spad{p}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(p)} tests if \\spad{p} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{p}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(p)} tests if all of the terms of \\spad{p} have the same degree.")) (|exp| (($ (|List| (|Integer|))) "\\spad{exp([i1,...in])} returns \\spad{u_1\\^{i_1} ... u_n\\^{i_n}}")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th multiplicative generator,{} a basis term.")) (|coefficient| ((|#1| $ $) "\\spad{coefficient(p,u)} returns the coefficient of the term in \\spad{p} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise. Error: if the second argument \\spad{u} is not a basis element.")) (|reductum| (($ $) "\\spad{reductum(p)},{} where \\spad{p} is an antisymmetric polynomial,{} returns \\spad{p} minus the leading term of \\spad{p} if \\spad{p} has at least two terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(p)} returns the leading basis term of antisymmetric polynomial \\spad{p}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the leading coefficient of antisymmetric polynomial \\spad{p}."))) 
+((|constructor| (NIL "The domain of antisymmetric polynomials.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} returns the homogeneous degree of \\spad{p}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(p)} tests if \\spad{p} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{p}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(p)} tests if all of the terms of \\spad{p} have the same degree.")) (|exp| (($ (|List| (|Integer|))) "\\spad{exp([i1,...in])} returns \\spad{u_1\\^{i_1} ... u_n\\^{i_n}}")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th multiplicative generator,{} a basis term.")) (|coefficient| ((|#1| $ $) "\\spad{coefficient(p,u)} returns the coefficient of the term in \\spad{p} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise. Error: if the second argument \\spad{u} is not a basis element.")) (|reductum| (($ $) "\\spad{reductum(p)},{} where \\spad{p} is an antisymmetric polynomial,{} returns \\spad{p} minus the leading term of \\spad{p} if \\spad{p} has at least two terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(p)} returns the leading basis term of antisymmetric polynomial \\spad{p}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the leading coefficient of antisymmetric polynomial \\spad{p}."))) 
 ((-3995 . T)) 
 NIL 
 (-51) 
@@ -153,11 +153,11 @@ NIL
 NIL 
 NIL 
 (-56 S R |Row| |Col|) 
-((|constructor| (NIL "\\indented{1}{TwoDimensionalArrayCategory is a general array category which} allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and columns returned as objects of type Col. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa.")) (|map!| (($ (|Mapping| |#2| |#2|) $) "\\spad{map!(f,a)} assign \\spad{a(i,j)} to \\spad{f(a(i,j))} for all \\spad{i, j}")) (|map| (($ (|Mapping| |#2| |#2| |#2|) $ $ |#2|) "\\spad{map(f,a,b,r)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} when both \\spad{a(i,j)} and \\spad{b(i,j)} exist; else \\spad{c(i,j) = f(r, b(i,j))} when \\spad{a(i,j)} does not exist; else \\spad{c(i,j) = f(a(i,j),r)} when \\spad{b(i,j)} does not exist; otherwise \\spad{c(i,j) = f(r,r)}.") (($ (|Mapping| |#2| |#2| |#2|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i, j}") (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,a)} returns \\spad{b},{} where \\spad{b(i,j) = f(a(i,j))} for all \\spad{i, j}")) (|setColumn!| (($ $ (|Integer|) |#4|) "\\spad{setColumn!(m,j,v)} sets to \\spad{j}th column of \\spad{m} to \\spad{v}")) (|setRow!| (($ $ (|Integer|) |#3|) "\\spad{setRow!(m,i,v)} sets to \\spad{i}th row of \\spad{m} to \\spad{v}")) (|qsetelt!| ((|#2| $ (|Integer|) (|Integer|) |#2|) "\\spad{qsetelt!(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} NO error check to determine if indices are in proper ranges")) (|setelt| ((|#2| $ (|Integer|) (|Integer|) |#2|) "\\spad{setelt(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} error check to determine if indices are in proper ranges")) (|column| ((|#4| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of \\spad{m} error check to determine if index is in proper ranges")) (|row| ((|#3| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of \\spad{m} error check to determine if index is in proper ranges")) (|qelt| ((|#2| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} NO error check to determine if indices are in proper ranges")) (|elt| ((|#2| $ (|Integer|) (|Integer|) |#2|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise") ((|#2| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} error check to determine if indices are in proper ranges")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the array \\spad{m}")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the array \\spad{m}")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the array \\spad{m}")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the array \\spad{m}")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the array \\spad{m}")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the array \\spad{m}")) (|fill!| (($ $ |#2|) "\\spad{fill!(m,r)} fills \\spad{m} with \\spad{r}'s")) (|new| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) "\\spad{new(m,n,r)} is an \\spad{m}-by-\\spad{n} array all of whose entries are \\spad{r}"))) 
+((|constructor| (NIL "\\indented{1}{TwoDimensionalArrayCategory is a general array category which} allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and columns returned as objects of type Col. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa.")) (|map| (($ (|Mapping| |#2| |#2| |#2|) $ $ |#2|) "\\spad{map(f,a,b,r)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} when both \\spad{a(i,j)} and \\spad{b(i,j)} exist; else \\spad{c(i,j) = f(r, b(i,j))} when \\spad{a(i,j)} does not exist; else \\spad{c(i,j) = f(a(i,j),r)} when \\spad{b(i,j)} does not exist; otherwise \\spad{c(i,j) = f(r,r)}.") (($ (|Mapping| |#2| |#2| |#2|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i, j}")) (|setColumn!| (($ $ (|Integer|) |#4|) "\\spad{setColumn!(m,j,v)} sets to \\spad{j}th column of \\spad{m} to \\spad{v}")) (|setRow!| (($ $ (|Integer|) |#3|) "\\spad{setRow!(m,i,v)} sets to \\spad{i}th row of \\spad{m} to \\spad{v}")) (|qsetelt!| ((|#2| $ (|Integer|) (|Integer|) |#2|) "\\spad{qsetelt!(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} NO error check to determine if indices are in proper ranges")) (|setelt| ((|#2| $ (|Integer|) (|Integer|) |#2|) "\\spad{setelt(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} error check to determine if indices are in proper ranges")) (|column| ((|#4| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of \\spad{m} error check to determine if index is in proper ranges")) (|row| ((|#3| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of \\spad{m} error check to determine if index is in proper ranges")) (|qelt| ((|#2| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} NO error check to determine if indices are in proper ranges")) (|elt| ((|#2| $ (|Integer|) (|Integer|) |#2|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise") ((|#2| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} error check to determine if indices are in proper ranges")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the array \\spad{m}")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the array \\spad{m}")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the array \\spad{m}")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the array \\spad{m}")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the array \\spad{m}")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the array \\spad{m}")) (|fill!| (($ $ |#2|) "\\spad{fill!(m,r)} fills \\spad{m} with \\spad{r}'s")) (|new| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) |#2|) "\\spad{new(m,n,r)} is an \\spad{m}-by-\\spad{n} array all of whose entries are \\spad{r}"))) 
 NIL 
 NIL 
 (-57 R |Row| |Col|) 
-((|constructor| (NIL "\\indented{1}{TwoDimensionalArrayCategory is a general array category which} allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and columns returned as objects of type Col. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa.")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\spad{map!(f,a)} assign \\spad{a(i,j)} to \\spad{f(a(i,j))} for all \\spad{i, j}")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $ |#1|) "\\spad{map(f,a,b,r)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} when both \\spad{a(i,j)} and \\spad{b(i,j)} exist; else \\spad{c(i,j) = f(r, b(i,j))} when \\spad{a(i,j)} does not exist; else \\spad{c(i,j) = f(a(i,j),r)} when \\spad{b(i,j)} does not exist; otherwise \\spad{c(i,j) = f(r,r)}.") (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i, j}") (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,a)} returns \\spad{b},{} where \\spad{b(i,j) = f(a(i,j))} for all \\spad{i, j}")) (|setColumn!| (($ $ (|Integer|) |#3|) "\\spad{setColumn!(m,j,v)} sets to \\spad{j}th column of \\spad{m} to \\spad{v}")) (|setRow!| (($ $ (|Integer|) |#2|) "\\spad{setRow!(m,i,v)} sets to \\spad{i}th row of \\spad{m} to \\spad{v}")) (|qsetelt!| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{qsetelt!(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} NO error check to determine if indices are in proper ranges")) (|setelt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{setelt(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} error check to determine if indices are in proper ranges")) (|column| ((|#3| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of \\spad{m} error check to determine if index is in proper ranges")) (|row| ((|#2| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of \\spad{m} error check to determine if index is in proper ranges")) (|qelt| ((|#1| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} NO error check to determine if indices are in proper ranges")) (|elt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise") ((|#1| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} error check to determine if indices are in proper ranges")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the array \\spad{m}")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the array \\spad{m}")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the array \\spad{m}")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the array \\spad{m}")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the array \\spad{m}")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the array \\spad{m}")) (|fill!| (($ $ |#1|) "\\spad{fill!(m,r)} fills \\spad{m} with \\spad{r}'s")) (|new| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{new(m,n,r)} is an \\spad{m}-by-\\spad{n} array all of whose entries are \\spad{r}"))) 
+((|constructor| (NIL "\\indented{1}{TwoDimensionalArrayCategory is a general array category which} allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and columns returned as objects of type Col. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $ |#1|) "\\spad{map(f,a,b,r)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} when both \\spad{a(i,j)} and \\spad{b(i,j)} exist; else \\spad{c(i,j) = f(r, b(i,j))} when \\spad{a(i,j)} does not exist; else \\spad{c(i,j) = f(a(i,j),r)} when \\spad{b(i,j)} does not exist; otherwise \\spad{c(i,j) = f(r,r)}.") (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i, j}")) (|setColumn!| (($ $ (|Integer|) |#3|) "\\spad{setColumn!(m,j,v)} sets to \\spad{j}th column of \\spad{m} to \\spad{v}")) (|setRow!| (($ $ (|Integer|) |#2|) "\\spad{setRow!(m,i,v)} sets to \\spad{i}th row of \\spad{m} to \\spad{v}")) (|qsetelt!| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{qsetelt!(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} NO error check to determine if indices are in proper ranges")) (|setelt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{setelt(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} error check to determine if indices are in proper ranges")) (|column| ((|#3| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of \\spad{m} error check to determine if index is in proper ranges")) (|row| ((|#2| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of \\spad{m} error check to determine if index is in proper ranges")) (|qelt| ((|#1| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} NO error check to determine if indices are in proper ranges")) (|elt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise") ((|#1| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} error check to determine if indices are in proper ranges")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the array \\spad{m}")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the array \\spad{m}")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the array \\spad{m}")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the array \\spad{m}")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the array \\spad{m}")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the array \\spad{m}")) (|fill!| (($ $ |#1|) "\\spad{fill!(m,r)} fills \\spad{m} with \\spad{r}'s")) (|new| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{new(m,n,r)} is an \\spad{m}-by-\\spad{n} array all of whose entries are \\spad{r}"))) 
 NIL 
 NIL 
 (-58 S) 
@@ -637,7 +637,7 @@ NIL
 NIL 
 ((-12 (|HasCategory| |#1| (QUOTE (-1015))) (|HasCategory| |#1| (|%list| (QUOTE -260) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1015))) (OR (|HasCategory| |#1| (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-1015)))) (|HasCategory| |#1| (QUOTE (-554 (-774)))) (|HasCategory| |#1| (QUOTE (-72)))) 
 (-177 |CoefRing| |listIndVar|) 
-((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|map| (($ (|Mapping| (|Expression| |#1|) (|Expression| |#1|)) $) "\\spad{map(f,df)} replaces each coefficient \\spad{x} of differential form \\spad{df} by \\spad{f(x)}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) 
+((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) 
 ((-3995 . T)) 
 NIL 
 (-178 R -3095) 
@@ -935,7 +935,7 @@ NIL
 (-251 |Key| |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are compared using \\spadfun{eq?}. Thus keys are considered equal only if they are the same instance of a structure."))) 
 NIL 
-((-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
+((-12 (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
 (-252) 
 ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) 
 NIL 
@@ -1011,7 +1011,7 @@ NIL
 (-270 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."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3996 |has| |#1| (-312)) (-3990 |has| |#1| (-312)) (-3992 . T) (-3993 . T) (-3995 . T)) 
-((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3949) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
 (-271 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},{}...,{}rm are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) 
 NIL 
@@ -1077,11 +1077,11 @@ NIL
 NIL 
 NIL 
 (-287 S R) 
-((|constructor| (NIL "This category provides a selection of evaluation operations depending on what the argument type \\spad{R} provides.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f, ex)} evaluates ex,{} applying \\spad{f} to values of type \\spad{R} in ex."))) 
+((|constructor| (NIL "This category provides a selection of evaluation operations depending on what the argument type \\spad{R} provides."))) 
 NIL 
 ((|HasCategory| |#2| (|%list| (QUOTE -457) (QUOTE (-1092)) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -241) (|devaluate| |#2|) (|devaluate| |#2|)))) 
 (-288 R) 
-((|constructor| (NIL "This category provides a selection of evaluation operations depending on what the argument type \\spad{R} provides.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f, ex)} evaluates ex,{} applying \\spad{f} to values of type \\spad{R} in ex."))) 
+((|constructor| (NIL "This category provides a selection of evaluation operations depending on what the argument type \\spad{R} provides."))) 
 NIL 
 NIL 
 (-289 |p| |n|) 
@@ -1269,7 +1269,7 @@ NIL
 ((-3993 . T) (-3992 . T)) 
 ((|HasCategory| |#1| (QUOTE (-146)))) 
 (-335 R |Basis|) 
-((|constructor| (NIL "A domain of this category implements formal linear combinations of elements from a domain \\spad{Basis} with coefficients in a domain \\spad{R}. The domain \\spad{Basis} needs only to belong to the category \\spadtype{SetCategory} and \\spad{R} to the category \\spadtype{Ring}. Thus the coefficient ring may be non-commutative. See the \\spadtype{XDistributedPolynomial} constructor for examples of domains built with the \\spadtype{FreeModuleCat} category constructor. Author: Michel Petitot (petitot@lifl.fr)")) (|reductum| (($ $) "\\spad{reductum(x)} returns \\spad{x} minus its leading term.")) (|leadingTerm| (((|Record| (|:| |k| |#2|) (|:| |c| |#1|)) $) "\\spad{leadingTerm(x)} returns the first term which appears in \\spad{ListOfTerms(x)}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(x)} returns the first coefficient which appears in \\spad{ListOfTerms(x)}.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(x)} returns the first element from \\spad{Basis} which appears in \\spad{ListOfTerms(x)}.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(x)} returns the number of monomials of \\spad{x}.")) (|monomials| (((|List| $) $) "\\spad{monomials(x)} returns the list of \\spad{r_i*b_i} whose sum is \\spad{x}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(x)} returns the list of coefficients of \\spad{x}.")) (|ListOfTerms| (((|List| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{ListOfTerms(x)} returns a list \\spad{lt} of terms with type \\spad{Record(k: Basis, c: R)} such that \\spad{x} equals \\spad{reduce(+, map(x +-> monom(x.k, x.c), lt))}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} contains a single monomial.")) (|monom| (($ |#2| |#1|) "\\spad{monom(b,r)} returns the element with the single monomial \\indented{1}{\\spad{b} and coefficient \\spad{r}.}")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients \\indented{1}{of the non-zero monomials of \\spad{u}.}")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(x,b)} returns the coefficient of \\spad{b} in \\spad{x}.")) (* (($ |#1| |#2|) "\\spad{r*b} returns the product of \\spad{r} by \\spad{b}."))) 
+((|constructor| (NIL "A domain of this category implements formal linear combinations of elements from a domain \\spad{Basis} with coefficients in a domain \\spad{R}. The domain \\spad{Basis} needs only to belong to the category \\spadtype{SetCategory} and \\spad{R} to the category \\spadtype{Ring}. Thus the coefficient ring may be non-commutative. See the \\spadtype{XDistributedPolynomial} constructor for examples of domains built with the \\spadtype{FreeModuleCat} category constructor. Author: Michel Petitot (petitot@lifl.fr)")) (|reductum| (($ $) "\\spad{reductum(x)} returns \\spad{x} minus its leading term.")) (|leadingTerm| (((|Record| (|:| |k| |#2|) (|:| |c| |#1|)) $) "\\spad{leadingTerm(x)} returns the first term which appears in \\spad{ListOfTerms(x)}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(x)} returns the first coefficient which appears in \\spad{ListOfTerms(x)}.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(x)} returns the first element from \\spad{Basis} which appears in \\spad{ListOfTerms(x)}.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(x)} returns the number of monomials of \\spad{x}.")) (|monomials| (((|List| $) $) "\\spad{monomials(x)} returns the list of \\spad{r_i*b_i} whose sum is \\spad{x}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(x)} returns the list of coefficients of \\spad{x}.")) (|ListOfTerms| (((|List| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{ListOfTerms(x)} returns a list \\spad{lt} of terms with type \\spad{Record(k: Basis, c: R)} such that \\spad{x} equals \\spad{reduce(+, map(x +-> monom(x.k, x.c), lt))}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} contains a single monomial.")) (|monom| (($ |#2| |#1|) "\\spad{monom(b,r)} returns the element with the single monomial \\indented{1}{\\spad{b} and coefficient \\spad{r}.}")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(x,b)} returns the coefficient of \\spad{b} in \\spad{x}.")) (* (($ |#1| |#2|) "\\spad{r*b} returns the product of \\spad{r} by \\spad{b}."))) 
 ((-3993 . T) (-3992 . T)) 
 NIL 
 (-336 S) 
@@ -1321,7 +1321,7 @@ NIL
 ((-3773 . T) (-3990 . T) (-3996 . T) (-3991 . T) ((-4000 "*") . T) (-3992 . T) (-3993 . T) (-3995 . T)) 
 NIL 
 (-348 R) 
-((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and gcd are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps the function \\userfun{\\spad{fn}} across the factors of \\spadvar{\\spad{u}} and creates a new factored object. Note: this clears the information flags (sets them to \"nil\") because the effect of \\userfun{\\spad{fn}} is clearly not known in general.")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\spad{unit(u)} extracts the unit part of the factorization.")) (|flagFactor| (($ |#1| (|Integer|) (|Union| #1="nil" #2="sqfr" #3="irred" #4="prime")) "\\spad{flagFactor(base,exponent,flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\spad{sqfrFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be square-free (flag = \"sqfr\").")) (|primeFactor| (($ |#1| (|Integer|)) "\\spad{primeFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be prime (flag = \"prime\").")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\spad{numberOfFactors(u)} returns the number of factors in \\spadvar{\\spad{u}}.")) (|nthFlag| (((|Union| #1# #2# #3# #4#) $ (|Integer|)) "\\spad{nthFlag(u,n)} returns the information flag of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} \"nil\" is returned.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(u,n)} returns the base of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 1 is returned. If \\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\spad{nthExponent(u,n)} returns the exponent of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 0 is returned.")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\spad{irreducibleFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be irreducible (flag = \"irred\").")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\spad{factors(u)} returns a list of the factors in a form suitable for iteration. That is,{} it returns a list where each element is a record containing a base and exponent. The original object is the product of all the factors and the unit (which can be extracted by \\axiom{unit(\\spad{u})}).")) (|nilFactor| (($ |#1| (|Integer|)) "\\spad{nilFactor(base,exponent)} creates a factored object with a single factor with no information about the kind of \\spad{base} (flag = \"nil\").")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| #1# #2# #3# #4#)) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\spad{factorList(u)} returns the list of factors with flags (for use by factoring code).")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| #1# #2# #3# #4#)) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\spad{makeFR(unit,listOfFactors)} creates a factored object (for use by factoring code).")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of the first factor of \\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.")) (|expand| ((|#1| $) "\\spad{expand(f)} multiplies the unit and factors together,{} yielding an \"unfactored\" object. Note: this is purposely not called \\spadfun{coerce} which would cause the interpreter to do this automatically."))) 
+((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and gcd are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\spad{unit(u)} extracts the unit part of the factorization.")) (|flagFactor| (($ |#1| (|Integer|) (|Union| #1="nil" #2="sqfr" #3="irred" #4="prime")) "\\spad{flagFactor(base,exponent,flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\spad{sqfrFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be square-free (flag = \"sqfr\").")) (|primeFactor| (($ |#1| (|Integer|)) "\\spad{primeFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be prime (flag = \"prime\").")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\spad{numberOfFactors(u)} returns the number of factors in \\spadvar{\\spad{u}}.")) (|nthFlag| (((|Union| #1# #2# #3# #4#) $ (|Integer|)) "\\spad{nthFlag(u,n)} returns the information flag of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} \"nil\" is returned.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(u,n)} returns the base of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 1 is returned. If \\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\spad{nthExponent(u,n)} returns the exponent of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 0 is returned.")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\spad{irreducibleFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be irreducible (flag = \"irred\").")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\spad{factors(u)} returns a list of the factors in a form suitable for iteration. That is,{} it returns a list where each element is a record containing a base and exponent. The original object is the product of all the factors and the unit (which can be extracted by \\axiom{unit(\\spad{u})}).")) (|nilFactor| (($ |#1| (|Integer|)) "\\spad{nilFactor(base,exponent)} creates a factored object with a single factor with no information about the kind of \\spad{base} (flag = \"nil\").")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| #1# #2# #3# #4#)) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\spad{factorList(u)} returns the list of factors with flags (for use by factoring code).")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| #1# #2# #3# #4#)) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\spad{makeFR(unit,listOfFactors)} creates a factored object (for use by factoring code).")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of the first factor of \\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.")) (|expand| ((|#1| $) "\\spad{expand(f)} multiplies the unit and factors together,{} yielding an \"unfactored\" object. Note: this is purposely not called \\spadfun{coerce} which would cause the interpreter to do this automatically."))) 
 ((-3991 . T) ((-4000 "*") . T) (-3992 . T) (-3993 . T) (-3995 . T)) 
 ((|HasCategory| |#1| (QUOTE (-457 (-1092) $))) (|HasCategory| |#1| (QUOTE (-260 $))) (|HasCategory| |#1| (QUOTE (-241 $ $))) (|HasCategory| |#1| (QUOTE (-555 (-475)))) (|HasCategory| |#1| (QUOTE (-1136))) (OR (|HasCategory| |#1| (QUOTE (-393))) (|HasCategory| |#1| (QUOTE (-1136)))) (|HasCategory| |#1| (QUOTE (-935))) (|HasCategory| |#1| (QUOTE (-952 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-952 (-486)))) (|HasCategory| |#1| (|%list| (QUOTE -457) (QUOTE (-1092)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -260) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -241) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-189))) (|HasCategory| |#1| (QUOTE (-813 (-1092)))) (|HasCategory| |#1| (QUOTE (-190))) (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-393)))) 
 (-349 R S) 
@@ -1591,11 +1591,11 @@ NIL
 (-415 |Coef| |var| |cen|) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3996 |has| |#1| (-312)) (-3990 |has| |#1| (-312)) (-3992 . T) (-3993 . T) (-3995 . T)) 
-((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3949) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
 (-416 |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."))) 
 NIL 
-((-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
+((-12 (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
 (-417 R E V P) 
 ((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) 
 NIL 
@@ -1611,7 +1611,7 @@ NIL
 (-420 |Key| |Entry| |hashfn|) 
 ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) 
 NIL 
-((-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
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 (-421) 
 ((|constructor| (NIL "\\indented{1}{Author : Larry Lambe} Date Created : August 1988 Date Last Updated : March 9 1990 Related Constructors: OrderedSetInts,{} Commutator,{} FreeNilpotentLie AMS Classification: Primary 17B05,{} 17B30; Secondary 17A50 Keywords: free Lie algebra,{} Hall basis,{} basic commutators Description : Generate a basis for the free Lie algebra on \\spad{n} generators over a ring \\spad{R} with identity up to basic commutators of length \\spad{c} using the algorithm of \\spad{P}. Hall as given in Serre's book Lie Groups -- Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens, maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens, leftCandidate, rightCandidate, left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,wt,rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight <= \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) 
 NIL 
@@ -1733,7 +1733,7 @@ NIL
 NIL 
 ((-12 (|HasCategory| |#1| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-1015))))) 
 (-451 A S) 
-((|constructor| (NIL "This category represents the direct product of some set with respect to an ordered indexing set.")) (|terms| (((|List| (|IndexedProductTerm| |#1| |#2|)) $) "\\spad{terms x} returns the list of terms in \\spad{x}. Each term is a pair of a support (the first component) and the corresponding value (the second component).")) (|reductum| (($ $) "\\spad{reductum(z)} returns a new element created by removing the leading coefficient/support pair from the element \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingSupport| ((|#2| $) "\\spad{leadingSupport(z)} returns the index of leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(z)} returns the coefficient of the leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(a,s)} constructs a direct product element with the \\spad{s} component set to \\spad{a}")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,z)} returns the new element created by applying the function \\spad{f} to each component of the direct product element \\spad{z}."))) 
+((|constructor| (NIL "This category represents the direct product of some set with respect to an ordered indexing set.")) (|terms| (((|List| (|IndexedProductTerm| |#1| |#2|)) $) "\\spad{terms x} returns the list of terms in \\spad{x}. Each term is a pair of a support (the first component) and the corresponding value (the second component).")) (|reductum| (($ $) "\\spad{reductum(z)} returns a new element created by removing the leading coefficient/support pair from the element \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingSupport| ((|#2| $) "\\spad{leadingSupport(z)} returns the index of leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(z)} returns the coefficient of the leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(a,s)} constructs a direct product element with the \\spad{s} component set to \\spad{a}"))) 
 NIL 
 NIL 
 (-452 A S) 
@@ -1895,7 +1895,7 @@ NIL
 (-491 |Key| |Entry| |addDom|) 
 ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) 
 NIL 
-((-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
+((-12 (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
 (-492 R -3095) 
 ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f, x, y, d)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) 
 NIL 
@@ -2059,7 +2059,7 @@ NIL
 (-532 |Coef|) 
 ((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain \\indented{2}{used for creating sparse Taylor and Laurent series.}")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,refer,var,cen,r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,g,taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,f)} returns the series \\spad{sum(fn(n) * an * x^n,n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3992 . T) (-3993 . T) (-3995 . T)) 
-((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-486)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-486)) (|devaluate| |#1|)))) (|HasCategory| (-486) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3949) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-486)))))) 
+((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-486)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-486)) (|devaluate| |#1|)))) (|HasCategory| (-486) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-486)))))) 
 (-533 |Coef|) 
 ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) 
 (((-4000 "*") |has| |#1| (-497)) (-3991 |has| |#1| (-497)) (-3992 . T) (-3993 . T) (-3995 . T)) 
@@ -2081,7 +2081,7 @@ NIL
 NIL 
 NIL 
 (-538 S) 
-((|constructor| (NIL "This package implements 'infinite tuples' for the interpreter. The representation is a stream.")) (|construct| (((|Stream| |#1|) $) "\\spad{construct(t)} converts an infinite tuple to a stream.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,s)} returns \\spad{[s,f(s),f(f(s)),...]}.")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select(p,t)} returns \\spad{[x for x in t | p(x)]}.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,t)} returns \\spad{[x for x in t while not p(x)]}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,t)} returns \\spad{[x for x in t while p(x)]}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,t)} replaces the tuple \\spad{t} by \\spad{[f(x) for x in t]}."))) 
+((|constructor| (NIL "This package implements 'infinite tuples' for the interpreter. The representation is a stream.")) (|construct| (((|Stream| |#1|) $) "\\spad{construct(t)} converts an infinite tuple to a stream.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,s)} returns \\spad{[s,f(s),f(f(s)),...]}.")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select(p,t)} returns \\spad{[x for x in t | p(x)]}.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,t)} returns \\spad{[x for x in t while not p(x)]}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,t)} returns \\spad{[x for x in t while p(x)]}."))) 
 NIL 
 NIL 
 (-539 S |Index| |Entry|) 
@@ -2127,7 +2127,7 @@ NIL
 (-549 |Entry|) 
 ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) 
 NIL 
-((-12 (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| |#1|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (QUOTE (|:| -3863 (-1075))) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| |#1|)) (QUOTE (-1015)))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| |#1|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#1| (QUOTE (-1015))) (|HasCategory| |#1| (|%list| (QUOTE -260) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-72))) (|HasCategory| (-1075) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| |#1|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-1015))) (|HasCategory| |#1| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| |#1|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| |#1|)) (QUOTE (-1015))) (-12 (|HasCategory| |#1| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#1|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#1|))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (QUOTE (|:| -3863 (-1075))) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#1|))))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (QUOTE (|:| -3863 (-1075))) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| |#1|)) (QUOTE (-72))))) 
+((-12 (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| |#1|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (QUOTE (|:| -3864 (-1075))) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| |#1|)) (QUOTE (-1015)))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| |#1|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#1| (QUOTE (-1015))) (|HasCategory| |#1| (|%list| (QUOTE -260) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-72))) (|HasCategory| (-1075) (QUOTE (-758))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| |#1|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-1015))) (|HasCategory| |#1| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| |#1|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| |#1|)) (QUOTE (-1015))) (-12 (|HasCategory| |#1| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#1|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#1|))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (QUOTE (|:| -3864 (-1075))) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#1|))))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (QUOTE (|:| -3864 (-1075))) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#1|))))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| |#1|)) (QUOTE (-72))))) 
 (-550 S |Key| |Entry|) 
 ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,t)} tests if \\spad{k} is a key in table \\spad{t}."))) 
 NIL 
@@ -2223,7 +2223,7 @@ NIL
 (-573) 
 ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) 
 NIL 
-((-12 (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-260 (-2 (|:| -3863 (-1075)) (|:| |entry| (-51)))))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015)))) (OR (|HasCategory| (-51) (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015)))) (OR (|HasCategory| (-51) (QUOTE (-72))) (|HasCategory| (-51) (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-554 (-774)))) (|HasCategory| (-51) (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-555 (-475)))) (-12 (|HasCategory| (-51) (QUOTE (-260 (-51)))) (|HasCategory| (-51) (QUOTE (-1015)))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-72))) (|HasCategory| (-1075) (QUOTE (-758))) (|HasCategory| (-51) (QUOTE (-72))) (OR (|HasCategory| (-51) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-72)))) (|HasCategory| (-51) (QUOTE (-1015))) (|HasCategory| (-51) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015))) (-12 (|HasCategory| $ (QUOTE (-318 (-2 (|:| -3863 (-1075)) (|:| |entry| (-51)))))) (|HasCategory| (-2 (|:| -3863 (-1075)) (|:| |entry| (-51))) (QUOTE (-72)))) (|HasCategory| $ (QUOTE (-318 (-2 (|:| -3863 (-1075)) (|:| |entry| (-51)))))) (-12 (|HasCategory| $ (QUOTE (-318 (-51)))) (|HasCategory| (-51) (QUOTE (-72)))) (|HasCategory| $ (QUOTE (-1037 (-51))))) 
+((-12 (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-260 (-2 (|:| -3864 (-1075)) (|:| |entry| (-51)))))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015)))) (OR (|HasCategory| (-51) (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015)))) (OR (|HasCategory| (-51) (QUOTE (-72))) (|HasCategory| (-51) (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-554 (-774)))) (|HasCategory| (-51) (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-555 (-475)))) (-12 (|HasCategory| (-51) (QUOTE (-260 (-51)))) (|HasCategory| (-51) (QUOTE (-1015)))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-72))) (|HasCategory| (-1075) (QUOTE (-758))) (|HasCategory| (-51) (QUOTE (-72))) (OR (|HasCategory| (-51) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-72)))) (|HasCategory| (-51) (QUOTE (-1015))) (|HasCategory| (-51) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-1015))) (-12 (|HasCategory| $ (QUOTE (-318 (-2 (|:| -3864 (-1075)) (|:| |entry| (-51)))))) (|HasCategory| (-2 (|:| -3864 (-1075)) (|:| |entry| (-51))) (QUOTE (-72)))) (|HasCategory| $ (QUOTE (-318 (-2 (|:| -3864 (-1075)) (|:| |entry| (-51)))))) (-12 (|HasCategory| $ (QUOTE (-318 (-51)))) (|HasCategory| (-51) (QUOTE (-72)))) (|HasCategory| $ (QUOTE (-1037 (-51))))) 
 (-574 R A) 
 ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) 
 ((-3995 OR (-2565 (|has| |#2| (-316 |#1|)) (|has| |#1| (-497))) (-12 (|has| |#2| (-361 |#1|)) (|has| |#1| (-497)))) (-3993 . T) (-3992 . T)) 
@@ -2633,7 +2633,7 @@ NIL
 NIL 
 NIL 
 (-676 R M) 
-((|constructor| (NIL "\\spadtype{MonoidRing}(\\spad{R},{}\\spad{M}),{} implements the algebra of all maps from the monoid \\spad{M} to the commutative ring \\spad{R} with finite support. Multiplication of two maps \\spad{f} and \\spad{g} is defined to map an element \\spad{c} of \\spad{M} to the (convolution) sum over {\\em f(a)g(b)} such that {\\em ab = c}. Thus \\spad{M} can be identified with a canonical basis and the maps can also be considered as formal linear combinations of the elements in \\spad{M}. Scalar multiples of a basis element are called monomials. A prominent example is the class of polynomials where the monoid is a direct product of the natural numbers with pointwise addition. When \\spad{M} is \\spadtype{FreeMonoid Symbol},{} one gets polynomials in infinitely many non-commuting variables. Another application area is representation theory of finite groups \\spad{G},{} where modules over \\spadtype{MonoidRing}(\\spad{R},{}\\spad{G}) are studied.")) (|reductum| (($ $) "\\spad{reductum(f)} is \\spad{f} minus its leading monomial.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(f)} gives the coefficient of \\spad{f},{} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(f)} gives the monomial of \\spad{f} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(f)} is the number of non-zero coefficients with respect to the canonical basis.")) (|monomials| (((|List| $) $) "\\spad{monomials(f)} gives the list of all monomials whose sum is \\spad{f}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(f)} lists all non-zero coefficients.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|terms| (((|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|))) $) "\\spad{terms(f)} gives the list of non-zero coefficients combined with their corresponding basis element as records. This is the internal representation.")) (|coerce| (($ (|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|)))) "\\spad{coerce(lt)} converts a list of terms and coefficients to a member of the domain.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(f,m)} extracts the coefficient of \\spad{m} in \\spad{f} with respect to the canonical basis \\spad{M}.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,m)} creates a scalar multiple of the basis element \\spad{m}."))) 
+((|constructor| (NIL "\\spadtype{MonoidRing}(\\spad{R},{}\\spad{M}),{} implements the algebra of all maps from the monoid \\spad{M} to the commutative ring \\spad{R} with finite support. Multiplication of two maps \\spad{f} and \\spad{g} is defined to map an element \\spad{c} of \\spad{M} to the (convolution) sum over {\\em f(a)g(b)} such that {\\em ab = c}. Thus \\spad{M} can be identified with a canonical basis and the maps can also be considered as formal linear combinations of the elements in \\spad{M}. Scalar multiples of a basis element are called monomials. A prominent example is the class of polynomials where the monoid is a direct product of the natural numbers with pointwise addition. When \\spad{M} is \\spadtype{FreeMonoid Symbol},{} one gets polynomials in infinitely many non-commuting variables. Another application area is representation theory of finite groups \\spad{G},{} where modules over \\spadtype{MonoidRing}(\\spad{R},{}\\spad{G}) are studied.")) (|reductum| (($ $) "\\spad{reductum(f)} is \\spad{f} minus its leading monomial.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(f)} gives the coefficient of \\spad{f},{} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(f)} gives the monomial of \\spad{f} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(f)} is the number of non-zero coefficients with respect to the canonical basis.")) (|monomials| (((|List| $) $) "\\spad{monomials(f)} gives the list of all monomials whose sum is \\spad{f}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(f)} lists all non-zero coefficients.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|terms| (((|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|))) $) "\\spad{terms(f)} gives the list of non-zero coefficients combined with their corresponding basis element as records. This is the internal representation.")) (|coerce| (($ (|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|)))) "\\spad{coerce(lt)} converts a list of terms and coefficients to a member of the domain.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(f,m)} extracts the coefficient of \\spad{m} in \\spad{f} with respect to the canonical basis \\spad{M}.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,m)} creates a scalar multiple of the basis element \\spad{m}."))) 
 ((-3993 |has| |#1| (-146)) (-3992 |has| |#1| (-146)) (-3995 . T)) 
 ((-12 (|HasCategory| |#1| (QUOTE (-320))) (|HasCategory| |#2| (QUOTE (-320)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (|HasCategory| |#2| (QUOTE (-758)))) 
 (-677 S) 
@@ -3793,11 +3793,11 @@ NIL
 NIL 
 NIL 
 (-966 S |m| |n| R |Row| |Col|) 
-((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#6|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#4|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#4|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#4| |#4| |#4|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i},{} \\spad{j}.") (($ (|Mapping| |#4| |#4|) $) "\\spad{map(f,a)} returns \\spad{b},{} where \\spad{b(i,j) = a(i,j)} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#6| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#5| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#4| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note: there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#4| $ (|Integer|) (|Integer|) |#4|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#4| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#4|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#4|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix."))) 
+((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#6|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#4|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#4|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#4| |#4| |#4|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#6| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#5| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#4| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note: there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#4| $ (|Integer|) (|Integer|) |#4|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#4| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#4|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#4|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix."))) 
 NIL 
 ((|HasCategory| |#4| (QUOTE (-258))) (|HasCategory| |#4| (QUOTE (-312))) (|HasCategory| |#4| (QUOTE (-497))) (|HasCategory| |#4| (QUOTE (-146)))) 
 (-967 |m| |n| R |Row| |Col|) 
-((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#5|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#3|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#3|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#3| |#3| |#3|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i},{} \\spad{j}.") (($ (|Mapping| |#3| |#3|) $) "\\spad{map(f,a)} returns \\spad{b},{} where \\spad{b(i,j) = a(i,j)} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#5| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#4| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#3| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note: there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#3| $ (|Integer|) (|Integer|) |#3|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#3|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#3|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix."))) 
+((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#5|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#3|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#3|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#3| |#3| |#3|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#5| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#4| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#3| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note: there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#3| $ (|Integer|) (|Integer|) |#3|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#3|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#3|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix."))) 
 ((-3993 . T) (-3992 . T)) 
 NIL 
 (-968 |m| |n| R) 
@@ -4199,7 +4199,7 @@ NIL
 (-1067 |Key| |Ent| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
 NIL 
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 (-1068) 
 ((|constructor| (NIL "A class of objects which can be 'stepped through'. Repeated applications of \\spadfun{nextItem} is guaranteed never to return duplicate items and only return \"failed\" after exhausting all elements of the domain. This assumes that the sequence starts with \\spad{init()}. For non-fiinite domains,{} repeated application of \\spadfun{nextItem} is not required to reach all possible domain elements starting from any initial element. \\blankline")) (|nextItem| (((|Maybe| $) $) "\\spad{nextItem(x)} returns the next item,{} or \\spad{failed} if domain is exhausted.")) (|init| (($) "\\spad{init()} chooses an initial object for stepping."))) 
 NIL 
@@ -4235,7 +4235,7 @@ NIL
 (-1076 |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) 
 NIL 
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 (-1077 A) 
 ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,r,g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,a1,..],[b0,b1,..])} returns \\spad{[a0/b0,a1/b1,..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,0>,b<0,1>,...],[b<1,0>,b<1,1>,.],...]}. the differential equation has the form \\spad{y' = sum(i=0 to infinity,j=0 to infinity,b<i,j>*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,[a0,a1,a2,...]) = [a,a0,a1/2,a2/3,...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,b,st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,b,st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,0>,a<0,1>,..],[a<1,0>,a<1,1>,..],[a<2,0>,a<2,1>,..],..]} and \\spad{addiag(x) = [b<0,b<1>,...], then b<k> = sum(i+j=k,a<i,j>)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient should be invertible.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,[a0,a1,a2,..])} returns \\spad{[f(0)*a0,f(1)*a1,f(2)*a2,..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,a1,a2,...])} returns \\spad{[a1,2 a2,3 a3,...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,a1,..],[b0,b1,..])} returns \\spad{[a0*b0,a1*b1,..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,n+2,n+4,...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,n+1,n+2,...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by r: \\spad{[a0,a1,...] * r = [a0 * r,a1 * r,...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,a1,...] = [r * a0,r * a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and b: \\spad{[a0,a1,...] * [b0,b1,...] = [c0,c1,...]} where \\spad{ck = sum(i + j = k,ai * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,a1,...] = [- a0,- a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] - [b0,b1,..] = [a0 - b0,a1 - b1,..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] + [b0,b1,..] = [a0 + b0,a1 + b1,..]}"))) 
 NIL 
@@ -4267,7 +4267,7 @@ NIL
 (-1084 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,x,3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) 
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 (-1085 R -3095) 
 ((|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}(\\spad{a+1}) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n), n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) 
 NIL 
@@ -4291,11 +4291,11 @@ NIL
 (-1090 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers."))) 
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+((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
 (-1091 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3992 . T) (-3993 . T) (-3995 . T)) 
-((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|)))) (|HasCategory| (-696) (QUOTE (-1027))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasSignature| |#1| (|%list| (QUOTE -3949) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasCategory| |#1| (QUOTE (-312))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|)))) (|HasCategory| (-696) (QUOTE (-1027))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasCategory| |#1| (QUOTE (-312))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
 (-1092) 
 ((|constructor| (NIL "Basic and scripted symbols.")) (|sample| (($) "\\spad{sample()} returns a sample of \\%")) (|list| (((|List| $) $) "\\spad{list(sy)} takes a scripted symbol and produces a list of the name followed by the scripts.")) (|string| (((|String|) $) "\\spad{string(s)} converts the symbol \\spad{s} to a string. Error: if the symbol is subscripted.")) (|elt| (($ $ (|List| (|OutputForm|))) "\\spad{elt(s,[a1,...,an])} or \\spad{s}([\\spad{a1},{}...,{}an]) returns \\spad{s} subscripted by \\spad{[a1,...,an]}.")) (|argscript| (($ $ (|List| (|OutputForm|))) "\\spad{argscript(s, [a1,...,an])} returns \\spad{s} arg-scripted by \\spad{[a1,...,an]}.")) (|superscript| (($ $ (|List| (|OutputForm|))) "\\spad{superscript(s, [a1,...,an])} returns \\spad{s} superscripted by \\spad{[a1,...,an]}.")) (|subscript| (($ $ (|List| (|OutputForm|))) "\\spad{subscript(s, [a1,...,an])} returns \\spad{s} subscripted by \\spad{[a1,...,an]}.")) (|script| (($ $ (|Record| (|:| |sub| (|List| (|OutputForm|))) (|:| |sup| (|List| (|OutputForm|))) (|:| |presup| (|List| (|OutputForm|))) (|:| |presub| (|List| (|OutputForm|))) (|:| |args| (|List| (|OutputForm|))))) "\\spad{script(s, [a,b,c,d,e])} returns \\spad{s} with subscripts a,{} superscripts \\spad{b},{} pre-superscripts \\spad{c},{} pre-subscripts \\spad{d},{} and argument-scripts \\spad{e}.") (($ $ (|List| (|List| (|OutputForm|)))) "\\spad{script(s, [a,b,c,d,e])} returns \\spad{s} with subscripts a,{} superscripts \\spad{b},{} pre-superscripts \\spad{c},{} pre-subscripts \\spad{d},{} and argument-scripts \\spad{e}. Omitted components are taken to be empty. For example,{} \\spad{script(s, [a,b,c])} is equivalent to \\spad{script(s,[a,b,c,[],[]])}.")) (|scripts| (((|Record| (|:| |sub| (|List| (|OutputForm|))) (|:| |sup| (|List| (|OutputForm|))) (|:| |presup| (|List| (|OutputForm|))) (|:| |presub| (|List| (|OutputForm|))) (|:| |args| (|List| (|OutputForm|)))) $) "\\spad{scripts(s)} returns all the scripts of \\spad{s}.")) (|scripted?| (((|Boolean|) $) "\\spad{scripted?(s)} is \\spad{true} if \\spad{s} has been given any scripts.")) (|name| (($ $) "\\spad{name(s)} returns \\spad{s} without its scripts.")) (|resetNew| (((|Void|)) "\\spad{resetNew()} resets the internals counters that new() and new(\\spad{s}) use to return distinct symbols every time.")) (|new| (($ $) "\\spad{new(s)} returns a new symbol whose name starts with \\%\\spad{s}.") (($) "\\spad{new()} returns a new symbol whose name starts with \\%."))) 
 NIL 
@@ -4347,7 +4347,7 @@ NIL
 (-1104 |Key| |Entry|) 
 ((|constructor| (NIL "This is the general purpose table type. The keys are hashed to look up the entries. This creates a \\spadtype{HashTable} if equal for the Key domain is consistent with Lisp EQUAL otherwise an \\spadtype{AssociationList}"))) 
 NIL 
-((-12 (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3863 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3863) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
+((-12 (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (|%list| (QUOTE -260) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015)))) (OR (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| |#2| (QUOTE (-554 (-774))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-555 (-475)))) (-12 (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (|%list| (QUOTE -260) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72))) (|HasCategory| |#1| (QUOTE (-758))) (|HasCategory| |#2| (QUOTE (-72))) (OR (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| |#2| (QUOTE (-1015))) (|HasCategory| |#2| (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-554 (-774)))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-1015))) (-12 (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (|HasCategory| (-2 (|:| -3864 |#1|) (|:| |entry| |#2|)) (QUOTE (-72)))) (|HasCategory| $ (|%list| (QUOTE -318) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3864) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE |entry|) (|devaluate| |#2|))))) (-12 (|HasCategory| |#2| (QUOTE (-72))) (|HasCategory| $ (|%list| (QUOTE -318) (|devaluate| |#2|)))) (|HasCategory| $ (|%list| (QUOTE -1037) (|devaluate| |#2|)))) 
 (-1105 S) 
 ((|constructor| (NIL "\\indented{1}{The tableau domain is for printing Young tableaux,{} and} coercions to and from List List \\spad{S} where \\spad{S} is a set.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(t)} converts a tableau \\spad{t} to an output form.")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\spad{listOfLists t} converts a tableau \\spad{t} to a list of lists.")) (|tableau| (($ (|List| (|List| |#1|))) "\\spad{tableau(ll)} converts a list of lists \\spad{ll} to a tableau."))) 
 NIL 
@@ -4495,7 +4495,7 @@ NIL
 (-1141 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariateLaurentSeries(Integer,x,3)} represents Laurent series in} \\indented{2}{\\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) 
 (((-4000 "*") OR (-2565 (|has| |#1| (-312)) (|has| (-1171 |#1| |#2| |#3|) (-742))) (|has| |#1| (-146)) (-2565 (|has| |#1| (-312)) (|has| (-1171 |#1| |#2| |#3|) (-823)))) (-3991 OR (-2565 (|has| |#1| (-312)) (|has| (-1171 |#1| |#2| |#3|) (-742))) (|has| |#1| (-497)) (-2565 (|has| |#1| (-312)) (|has| (-1171 |#1| |#2| |#3|) (-823)))) (-3996 |has| |#1| (-312)) (-3990 |has| |#1| (-312)) (-3992 . T) (-3993 . T) (-3995 . T)) 
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 (-1142 |Coef1| |Coef2| |var1| |var2| |cen1| |cen2|) 
 ((|constructor| (NIL "Mapping package for univariate Laurent series \\indented{2}{This package allows one to apply a function to the coefficients of} \\indented{2}{a univariate Laurent series.}")) (|map| (((|UnivariateLaurentSeries| |#2| |#4| |#6|) (|Mapping| |#2| |#1|) (|UnivariateLaurentSeries| |#1| |#3| |#5|)) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of the Laurent series \\spad{g(x)}."))) 
 NIL 
@@ -4515,7 +4515,7 @@ NIL
 (-1146 |Coef| UTS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}."))) 
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 (-1147 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 
@@ -4567,7 +4567,7 @@ NIL
 (-1159 S |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree <= \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
 NIL 
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 (-1160 |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree <= \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3992 . T) (-3993 . T) (-3995 . T)) 
@@ -4579,7 +4579,7 @@ NIL
 (-1162 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|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."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3996 |has| |#1| (-312)) (-3990 |has| |#1| (-312)) (-3992 . T) (-3993 . T) (-3995 . T)) 
-((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3949) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
 (-1163 |Coef1| |Coef2| |var1| |var2| |cen1| |cen2|) 
 ((|constructor| (NIL "Mapping package for univariate Puiseux series. This package allows one to apply a function to the coefficients of a univariate Puiseux series.")) (|map| (((|UnivariatePuiseuxSeries| |#2| |#4| |#6|) (|Mapping| |#2| |#1|) (|UnivariatePuiseuxSeries| |#1| |#3| |#5|)) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of the Puiseux series \\spad{g(x)}."))) 
 NIL 
@@ -4599,7 +4599,7 @@ NIL
 (-1167 |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)}."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3996 |has| |#1| (-312)) (-3990 |has| |#1| (-312)) (-3992 . T) (-3993 . T) (-3995 . T)) 
-((|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3949) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (QUOTE (-38 (-350 (-486)))))) 
+((|HasCategory| |#1| (QUOTE (-497))) (|HasCategory| |#1| (QUOTE (-146))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486))) (|devaluate| |#1|)))) (|HasCategory| (-350 (-486)) (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-312))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (OR (|HasCategory| |#1| (QUOTE (-312))) (|HasCategory| |#1| (QUOTE (-497)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -350) (QUOTE (-486)))))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (QUOTE (-38 (-350 (-486)))))) 
 (-1168 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,f(var))}."))) 
 (((-4000 "*") |has| (-1162 |#2| |#3| |#4|) (-146)) (-3991 |has| (-1162 |#2| |#3| |#4|) (-497)) (-3992 . T) (-3993 . T) (-3995 . T)) 
@@ -4615,7 +4615,7 @@ NIL
 (-1171 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,b,f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,b,f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and invertible 1st order coefficient.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
 (((-4000 "*") |has| |#1| (-146)) (-3991 |has| |#1| (-497)) (-3992 . T) (-3993 . T) (-3995 . T)) 
-((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|)))) (|HasCategory| (-696) (QUOTE (-1027))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasSignature| |#1| (|%list| (QUOTE -3949) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasCategory| |#1| (QUOTE (-312))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-497))) (OR (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-497)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-118))) (|HasCategory| |#1| (QUOTE (-120))) (-12 (|HasCategory| |#1| (QUOTE (-811 (-1092)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-696)) (|devaluate| |#1|)))) (|HasCategory| (-696) (QUOTE (-1027))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasSignature| |#1| (|%list| (QUOTE -3950) (|%list| (|devaluate| |#1|) (QUOTE (-1092)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-696))))) (|HasCategory| |#1| (QUOTE (-312))) (OR (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasCategory| |#1| (QUOTE (-29 (-486)))) (|HasCategory| |#1| (QUOTE (-873))) (|HasCategory| |#1| (QUOTE (-1117)))) (-12 (|HasCategory| |#1| (QUOTE (-38 (-350 (-486))))) (|HasSignature| |#1| (|%list| (QUOTE -3815) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1092))))) (|HasSignature| |#1| (|%list| (QUOTE -3084) (|%list| (|%list| (QUOTE -585) (QUOTE (-1092))) (|devaluate| |#1|))))))) 
 (-1172 |Coef1| |Coef2| UTS1 UTS2) 
 ((|constructor| (NIL "Mapping package for univariate Taylor series. \\indented{2}{This package allows one to apply a function to the coefficients of} \\indented{2}{a univariate Taylor series.}")) (|map| ((|#4| (|Mapping| |#2| |#1|) |#3|) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of \\indented{1}{the Taylor series \\spad{g(x)}.}"))) 
 NIL 
@@ -4733,7 +4733,7 @@ NIL
 ((-3990 . T) (-3996 . T) (-3991 . T) ((-4000 "*") . T) (-3992 . T) (-3993 . T) (-3995 . T)) 
 NIL 
 (-1201 |vl| R) 
-((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero.")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) 
+((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero.")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) 
 ((-3991 |has| |#2| (-6 -3991)) (-3993 . T) (-3992 . T) (-3995 . T)) 
 NIL 
 (-1202 |VarSet| R) 
@@ -4749,7 +4749,7 @@ NIL
 ((-3991 |has| |#2| (-6 -3991)) (-3993 . T) (-3992 . T) (-3995 . T)) 
 NIL 
 (-1205 R E) 
-((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and words belonging to an arbitrary \\spadtype{OrderedMonoid}. This type is used,{} for instance,{} by the \\spadtype{XDistributedPolynomial} domain constructor where the Monoid is free.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (/ (($ $ |#1|) "\\spad{p/r} returns \\spad{p*(1/r)}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(p)} is zero.")) (|constant| ((|#1| $) "\\spad{constant(p)} return the constant term of \\spad{p}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(p)} tests whether the polynomial \\spad{p} belongs to the coefficient ring.")) (|coef| ((|#1| $ |#2|) "\\spad{coef(p,e)} extracts the coefficient of the monomial \\spad{e}. Returns zero if \\spad{e} is not present.")) (|reductum| (($ $) "\\spad{reductum(p)} returns \\spad{p} minus its leading term. An error is produced if \\spad{p} is zero.")) (|mindeg| ((|#2| $) "\\spad{mindeg(p)} returns the smallest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|maxdeg| ((|#2| $) "\\spad{maxdeg(p)} returns the greatest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# p} returns the number of terms in \\spad{p}.")) (* (($ $ |#1|) "\\spad{p*r} returns the product of \\spad{p} by \\spad{r}."))) 
+((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and words belonging to an arbitrary \\spadtype{OrderedMonoid}. This type is used,{} for instance,{} by the \\spadtype{XDistributedPolynomial} domain constructor where the Monoid is free.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (/ (($ $ |#1|) "\\spad{p/r} returns \\spad{p*(1/r)}.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(p)} is zero.")) (|constant| ((|#1| $) "\\spad{constant(p)} return the constant term of \\spad{p}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(p)} tests whether the polynomial \\spad{p} belongs to the coefficient ring.")) (|coef| ((|#1| $ |#2|) "\\spad{coef(p,e)} extracts the coefficient of the monomial \\spad{e}. Returns zero if \\spad{e} is not present.")) (|reductum| (($ $) "\\spad{reductum(p)} returns \\spad{p} minus its leading term. An error is produced if \\spad{p} is zero.")) (|mindeg| ((|#2| $) "\\spad{mindeg(p)} returns the smallest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|maxdeg| ((|#2| $) "\\spad{maxdeg(p)} returns the greatest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# p} returns the number of terms in \\spad{p}.")) (* (($ $ |#1|) "\\spad{p*r} returns the product of \\spad{p} by \\spad{r}."))) 
 ((-3995 . T) (-3996 |has| |#1| (-6 -3996)) (-3991 |has| |#1| (-6 -3991)) (-3993 . T) (-3992 . T)) 
 ((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-312))) (|HasAttribute| |#1| (QUOTE -3995)) (|HasAttribute| |#1| (QUOTE -3996)) (|HasAttribute| |#1| (QUOTE -3991))) 
 (-1206 |VarSet| R) 
@@ -4792,4 +4792,4 @@ NIL
 NIL 
 NIL 
 NIL 
-((-3 NIL 1968362 1968367 1968372 1968377) (-2 NIL 1968342 1968347 1968352 1968357) (-1 NIL 1968322 1968327 1968332 1968337) (0 NIL 1968302 1968307 1968312 1968317) (-1211 "ZMOD.spad" 1968111 1968124 1968240 1968297) (-1210 "ZLINDEP.spad" 1967209 1967220 1968101 1968106) (-1209 "ZDSOLVE.spad" 1957170 1957192 1967199 1967204) (-1208 "YSTREAM.spad" 1956665 1956676 1957160 1957165) (-1207 "YDIAGRAM.spad" 1956299 1956308 1956655 1956660) (-1206 "XRPOLY.spad" 1955519 1955539 1956155 1956224) (-1205 "XPR.spad" 1953314 1953327 1955237 1955336) (-1204 "XPOLYC.spad" 1952633 1952649 1953240 1953309) (-1203 "XPOLY.spad" 1952188 1952199 1952489 1952558) (-1202 "XPBWPOLY.spad" 1950659 1950679 1951994 1952063) (-1201 "XFALG.spad" 1947707 1947723 1950585 1950654) (-1200 "XF.spad" 1946170 1946185 1947609 1947702) (-1199 "XF.spad" 1944613 1944630 1946054 1946059) (-1198 "XEXPPKG.spad" 1943872 1943898 1944603 1944608) (-1197 "XDPOLY.spad" 1943486 1943502 1943728 1943797) (-1196 "XALG.spad" 1943154 1943165 1943442 1943481) (-1195 "WUTSET.spad" 1939018 1939035 1942649 1942654) (-1194 "WP.spad" 1938225 1938269 1938876 1938943) (-1193 "WHILEAST.spad" 1938023 1938032 1938215 1938220) (-1192 "WHEREAST.spad" 1937694 1937703 1938013 1938018) (-1191 "WFFINTBS.spad" 1935357 1935379 1937684 1937689) (-1190 "WEIER.spad" 1933579 1933590 1935347 1935352) (-1189 "VSPACE.spad" 1933252 1933263 1933547 1933574) (-1188 "VSPACE.spad" 1932945 1932958 1933242 1933247) (-1187 "VOID.spad" 1932622 1932631 1932935 1932940) (-1186 "VIEWDEF.spad" 1927823 1927832 1932612 1932617) (-1185 "VIEW3D.spad" 1911784 1911793 1927813 1927818) (-1184 "VIEW2D.spad" 1899683 1899692 1911774 1911779) (-1183 "VIEW.spad" 1897403 1897412 1899673 1899678) (-1182 "VECTOR2.spad" 1896042 1896055 1897393 1897398) (-1181 "VECTOR.spad" 1894458 1894469 1894709 1894714) (-1180 "VECTCAT.spad" 1892392 1892403 1894448 1894453) (-1179 "VECTCAT.spad" 1890113 1890126 1892171 1892176) (-1178 "VARIABLE.spad" 1889893 1889908 1890103 1890108) (-1177 "UTYPE.spad" 1889537 1889546 1889883 1889888) (-1176 "UTSODETL.spad" 1888832 1888856 1889493 1889498) (-1175 "UTSODE.spad" 1887048 1887068 1888822 1888827) (-1174 "UTSCAT.spad" 1884527 1884543 1886946 1887043) (-1173 "UTSCAT.spad" 1881674 1881692 1884095 1884100) (-1172 "UTS2.spad" 1881269 1881304 1881664 1881669) (-1171 "UTS.spad" 1876281 1876309 1879801 1879898) (-1170 "URAGG.spad" 1871002 1871013 1876271 1876276) (-1169 "URAGG.spad" 1865659 1865672 1870930 1870935) (-1168 "UPXSSING.spad" 1863427 1863453 1864863 1864996) (-1167 "UPXSCONS.spad" 1861245 1861265 1861618 1861767) (-1166 "UPXSCCA.spad" 1859816 1859836 1861091 1861240) (-1165 "UPXSCCA.spad" 1858529 1858551 1859806 1859811) (-1164 "UPXSCAT.spad" 1857118 1857134 1858375 1858524) (-1163 "UPXS2.spad" 1856661 1856714 1857108 1857113) (-1162 "UPXS.spad" 1854016 1854044 1854852 1855001) (-1161 "UPSQFREE.spad" 1852431 1852445 1854006 1854011) (-1160 "UPSCAT.spad" 1850226 1850250 1852329 1852426) (-1159 "UPSCAT.spad" 1847722 1847748 1849827 1849832) (-1158 "UPOLYC2.spad" 1847193 1847212 1847712 1847717) (-1157 "UPOLYC.spad" 1842273 1842284 1847035 1847188) (-1156 "UPOLYC.spad" 1837271 1837284 1842035 1842040) (-1155 "UPMP.spad" 1836203 1836216 1837261 1837266) (-1154 "UPDIVP.spad" 1835768 1835782 1836193 1836198) (-1153 "UPDECOMP.spad" 1834029 1834043 1835758 1835763) (-1152 "UPCDEN.spad" 1833246 1833262 1834019 1834024) (-1151 "UP2.spad" 1832610 1832631 1833236 1833241) (-1150 "UP.spad" 1830080 1830095 1830467 1830620) (-1149 "UNISEG2.spad" 1829577 1829590 1830036 1830041) (-1148 "UNISEG.spad" 1828930 1828941 1829496 1829501) (-1147 "UNIFACT.spad" 1828033 1828045 1828920 1828925) (-1146 "ULSCONS.spad" 1821879 1821899 1822249 1822398) (-1145 "ULSCCAT.spad" 1819616 1819636 1821725 1821874) (-1144 "ULSCCAT.spad" 1817461 1817483 1819572 1819577) (-1143 "ULSCAT.spad" 1815701 1815717 1817307 1817456) (-1142 "ULS2.spad" 1815215 1815268 1815691 1815696) (-1141 "ULS.spad" 1807248 1807276 1808193 1808616) (-1140 "UINT8.spad" 1807125 1807134 1807238 1807243) (-1139 "UINT64.spad" 1807001 1807010 1807115 1807120) (-1138 "UINT32.spad" 1806877 1806886 1806991 1806996) (-1137 "UINT16.spad" 1806753 1806762 1806867 1806872) (-1136 "UFD.spad" 1805818 1805827 1806679 1806748) (-1135 "UFD.spad" 1804945 1804956 1805808 1805813) (-1134 "UDVO.spad" 1803826 1803835 1804935 1804940) (-1133 "UDPO.spad" 1801407 1801418 1803782 1803787) (-1132 "TYPEAST.spad" 1801326 1801335 1801397 1801402) (-1131 "TYPE.spad" 1801258 1801267 1801316 1801321) (-1130 "TWOFACT.spad" 1799910 1799925 1801248 1801253) (-1129 "TUPLE.spad" 1799417 1799428 1799822 1799827) (-1128 "TUBETOOL.spad" 1796284 1796293 1799407 1799412) (-1127 "TUBE.spad" 1794931 1794948 1796274 1796279) (-1126 "TSETCAT.spad" 1783024 1783041 1794921 1794926) (-1125 "TSETCAT.spad" 1771081 1771100 1782980 1782985) (-1124 "TS.spad" 1769709 1769725 1770675 1770772) (-1123 "TRMANIP.spad" 1764073 1764090 1769397 1769402) (-1122 "TRIMAT.spad" 1763036 1763061 1764063 1764068) (-1121 "TRIGMNIP.spad" 1761563 1761580 1763026 1763031) (-1120 "TRIGCAT.spad" 1761075 1761084 1761553 1761558) (-1119 "TRIGCAT.spad" 1760585 1760596 1761065 1761070) (-1118 "TREE.spad" 1759186 1759197 1760218 1760223) (-1117 "TRANFUN.spad" 1759025 1759034 1759176 1759181) (-1116 "TRANFUN.spad" 1758862 1758873 1759015 1759020) (-1115 "TOPSP.spad" 1758536 1758545 1758852 1758857) (-1114 "TOOLSIGN.spad" 1758199 1758210 1758526 1758531) (-1113 "TEXTFILE.spad" 1756760 1756769 1758189 1758194) (-1112 "TEX1.spad" 1756316 1756327 1756750 1756755) (-1111 "TEX.spad" 1753510 1753519 1756306 1756311) (-1110 "TBCMPPK.spad" 1751611 1751634 1753500 1753505) (-1109 "TBAGG.spad" 1750876 1750899 1751601 1751606) (-1108 "TBAGG.spad" 1750139 1750164 1750866 1750871) (-1107 "TANEXP.spad" 1749547 1749558 1750129 1750134) (-1106 "TALGOP.spad" 1749271 1749282 1749537 1749542) (-1105 "TABLEAU.spad" 1748752 1748763 1749261 1749266) (-1104 "TABLE.spad" 1746462 1746485 1746732 1746737) (-1103 "TABLBUMP.spad" 1743241 1743252 1746452 1746457) (-1102 "SYSTEM.spad" 1742469 1742478 1743231 1743236) (-1101 "SYSSOLP.spad" 1739952 1739963 1742459 1742464) (-1100 "SYSPTR.spad" 1739851 1739860 1739942 1739947) (-1099 "SYSNNI.spad" 1739074 1739085 1739841 1739846) (-1098 "SYSINT.spad" 1738478 1738489 1739064 1739069) (-1097 "SYNTAX.spad" 1734812 1734821 1738468 1738473) (-1096 "SYMTAB.spad" 1732880 1732889 1734802 1734807) (-1095 "SYMS.spad" 1728909 1728918 1732870 1732875) (-1094 "SYMPOLY.spad" 1728042 1728053 1728124 1728251) (-1093 "SYMFUNC.spad" 1727543 1727554 1728032 1728037) (-1092 "SYMBOL.spad" 1725038 1725047 1727533 1727538) (-1091 "SUTS.spad" 1722151 1722179 1723570 1723667) (-1090 "SUPXS.spad" 1719493 1719521 1720342 1720491) (-1089 "SUPFRACF.spad" 1718598 1718616 1719483 1719488) (-1088 "SUP2.spad" 1717990 1718003 1718588 1718593) (-1087 "SUP.spad" 1715074 1715085 1715847 1716000) (-1086 "SUMRF.spad" 1714048 1714059 1715064 1715069) (-1085 "SUMFS.spad" 1713677 1713694 1714038 1714043) (-1084 "SULS.spad" 1705697 1705725 1706655 1707078) (-1083 "syntax.spad" 1705466 1705475 1705687 1705692) (-1082 "SUCH.spad" 1705156 1705171 1705456 1705461) (-1081 "SUBSPACE.spad" 1697287 1697302 1705146 1705151) (-1080 "SUBRESP.spad" 1696457 1696471 1697243 1697248) (-1079 "STTFNC.spad" 1692925 1692941 1696447 1696452) (-1078 "STTF.spad" 1689024 1689040 1692915 1692920) (-1077 "STTAYLOR.spad" 1681701 1681712 1688931 1688936) (-1076 "STRTBL.spad" 1679574 1679591 1679723 1679728) (-1075 "STRING.spad" 1678215 1678224 1678600 1678605) (-1074 "STREAM3.spad" 1677788 1677803 1678205 1678210) (-1073 "STREAM2.spad" 1676916 1676929 1677778 1677783) (-1072 "STREAM1.spad" 1676622 1676633 1676906 1676911) (-1071 "STREAM.spad" 1673582 1673593 1676073 1676078) (-1070 "STINPROD.spad" 1672518 1672534 1673572 1673577) (-1069 "STEPAST.spad" 1671752 1671761 1672508 1672513) (-1068 "STEP.spad" 1671069 1671078 1671742 1671747) (-1067 "STBL.spad" 1668882 1668910 1669049 1669054) (-1066 "STAGG.spad" 1667581 1667592 1668872 1668877) (-1065 "STAGG.spad" 1666278 1666291 1667571 1667576) (-1064 "STACK.spad" 1665722 1665733 1665972 1665977) (-1063 "SRING.spad" 1665482 1665491 1665712 1665717) (-1062 "SREGSET.spad" 1663075 1663092 1664977 1664982) (-1061 "SRDCMPK.spad" 1661652 1661672 1663065 1663070) (-1060 "SRAGG.spad" 1656857 1656866 1661642 1661647) (-1059 "SRAGG.spad" 1652060 1652071 1656847 1656852) (-1058 "SQMATRIX.spad" 1649749 1649767 1650665 1650740) (-1057 "SPLTREE.spad" 1644409 1644422 1649205 1649210) (-1056 "SPLNODE.spad" 1641029 1641042 1644399 1644404) (-1055 "SPFCAT.spad" 1639838 1639847 1641019 1641024) (-1054 "SPECOUT.spad" 1638390 1638399 1639828 1639833) (-1053 "SPADXPT.spad" 1630481 1630490 1638380 1638385) (-1052 "spad-parser.spad" 1629946 1629955 1630471 1630476) (-1051 "SPADAST.spad" 1629647 1629656 1629936 1629941) (-1050 "SPACEC.spad" 1613862 1613873 1629637 1629642) (-1049 "SPACE3.spad" 1613638 1613649 1613852 1613857) (-1048 "SORTPAK.spad" 1613187 1613200 1613594 1613599) (-1047 "SOLVETRA.spad" 1610950 1610961 1613177 1613182) (-1046 "SOLVESER.spad" 1609406 1609417 1610940 1610945) (-1045 "SOLVERAD.spad" 1605432 1605443 1609396 1609401) (-1044 "SOLVEFOR.spad" 1603894 1603912 1605422 1605427) (-1043 "SNTSCAT.spad" 1603516 1603533 1603884 1603889) (-1042 "SMTS.spad" 1601833 1601859 1603110 1603207) (-1041 "SMP.spad" 1599641 1599661 1600031 1600158) (-1040 "SMITH.spad" 1598486 1598511 1599631 1599636) (-1039 "SMATCAT.spad" 1596616 1596646 1598442 1598481) (-1038 "SMATCAT.spad" 1594666 1594698 1596494 1596499) (-1037 "aggcat.spad" 1594352 1594363 1594656 1594661) (-1036 "SKAGG.spad" 1593343 1593354 1594342 1594347) (-1035 "SINT.spad" 1592642 1592651 1593209 1593338) (-1034 "SIMPAN.spad" 1592370 1592379 1592632 1592637) (-1033 "SIGNRF.spad" 1591495 1591506 1592360 1592365) (-1032 "SIGNEF.spad" 1590781 1590798 1591485 1591490) (-1031 "syntax.spad" 1590198 1590207 1590771 1590776) (-1030 "SIG.spad" 1589560 1589569 1590188 1590193) (-1029 "SHP.spad" 1587504 1587519 1589516 1589521) (-1028 "SHDP.spad" 1576847 1576874 1577364 1577449) (-1027 "SGROUP.spad" 1576455 1576464 1576837 1576842) (-1026 "SGROUP.spad" 1576061 1576072 1576445 1576450) (-1025 "catdef.spad" 1575771 1575783 1575882 1576056) (-1024 "catdef.spad" 1575327 1575339 1575592 1575766) (-1023 "SGCF.spad" 1568466 1568475 1575317 1575322) (-1022 "SFRTCAT.spad" 1567434 1567451 1568456 1568461) (-1021 "SFRGCD.spad" 1566497 1566517 1567424 1567429) (-1020 "SFQCMPK.spad" 1561310 1561330 1566487 1566492) (-1019 "SEXOF.spad" 1561153 1561193 1561300 1561305) (-1018 "SEXCAT.spad" 1558981 1559021 1561143 1561148) (-1017 "SEX.spad" 1558873 1558882 1558971 1558976) (-1016 "SETMN.spad" 1557333 1557350 1558863 1558868) (-1015 "SETCAT.spad" 1556818 1556827 1557323 1557328) (-1014 "SETCAT.spad" 1556301 1556312 1556808 1556813) (-1013 "SETAGG.spad" 1552850 1552861 1556281 1556296) (-1012 "SETAGG.spad" 1549407 1549420 1552840 1552845) (-1011 "SET.spad" 1547577 1547588 1548676 1548691) (-1010 "syntax.spad" 1547280 1547289 1547567 1547572) (-1009 "SEGXCAT.spad" 1546436 1546449 1547270 1547275) (-1008 "SEGCAT.spad" 1545361 1545372 1546426 1546431) (-1007 "SEGBIND2.spad" 1545059 1545072 1545351 1545356) (-1006 "SEGBIND.spad" 1544817 1544828 1545006 1545011) (-1005 "SEGAST.spad" 1544547 1544556 1544807 1544812) (-1004 "SEG2.spad" 1543982 1543995 1544503 1544508) (-1003 "SEG.spad" 1543795 1543806 1543901 1543906) (-1002 "SDVAR.spad" 1543071 1543082 1543785 1543790) (-1001 "SDPOL.spad" 1540763 1540774 1541054 1541181) (-1000 "SCPKG.spad" 1538852 1538863 1540753 1540758) (-999 "SCOPE.spad" 1538030 1538038 1538842 1538847) (-998 "SCACHE.spad" 1536727 1536737 1538020 1538025) (-997 "SASTCAT.spad" 1536637 1536645 1536717 1536722) (-996 "SAOS.spad" 1536510 1536518 1536627 1536632) (-995 "SAERFFC.spad" 1536224 1536243 1536500 1536505) (-994 "SAEFACT.spad" 1535926 1535945 1536214 1536219) (-993 "SAE.spad" 1533577 1533592 1534187 1534322) (-992 "RURPK.spad" 1531237 1531252 1533567 1533572) (-991 "RULESET.spad" 1530691 1530714 1531227 1531232) (-990 "RULECOLD.spad" 1530544 1530556 1530681 1530686) (-989 "RULE.spad" 1528793 1528816 1530534 1530539) (-988 "RTVALUE.spad" 1528529 1528537 1528783 1528788) (-987 "syntax.spad" 1528247 1528255 1528519 1528524) (-986 "RSETGCD.spad" 1524690 1524709 1528237 1528242) (-985 "RSETCAT.spad" 1514681 1514697 1524680 1524685) (-984 "RSETCAT.spad" 1504670 1504688 1514671 1514676) (-983 "RSDCMPK.spad" 1503171 1503190 1504660 1504665) (-982 "RRCC.spad" 1501556 1501585 1503161 1503166) (-981 "RRCC.spad" 1499939 1499970 1501546 1501551) (-980 "RPTAST.spad" 1499642 1499650 1499929 1499934) (-979 "RPOLCAT.spad" 1479147 1479161 1499510 1499637) (-978 "RPOLCAT.spad" 1458445 1458461 1478810 1478815) (-977 "ROMAN.spad" 1457774 1457782 1458311 1458440) (-976 "ROIRC.spad" 1456855 1456886 1457764 1457769) (-975 "RNS.spad" 1455832 1455840 1456757 1456850) (-974 "RNS.spad" 1454895 1454905 1455822 1455827) (-973 "RNGBIND.spad" 1454056 1454069 1454850 1454855) (-972 "RNG.spad" 1453665 1453673 1454046 1454051) (-971 "RNG.spad" 1453272 1453282 1453655 1453660) (-970 "RMODULE.spad" 1453054 1453064 1453262 1453267) (-969 "RMCAT2.spad" 1452475 1452531 1453044 1453049) (-968 "RMATRIX.spad" 1451297 1451315 1451639 1451666) (-967 "RMATCAT.spad" 1446947 1446977 1451265 1451292) (-966 "RMATCAT.spad" 1442475 1442507 1446795 1446800) (-965 "RLINSET.spad" 1442180 1442190 1442465 1442470) (-964 "RINTERP.spad" 1442069 1442088 1442170 1442175) (-963 "RING.spad" 1441540 1441548 1442049 1442064) (-962 "RING.spad" 1441019 1441029 1441530 1441535) (-961 "RIDIST.spad" 1440412 1440420 1441009 1441014) (-960 "RGCHAIN.spad" 1438679 1438694 1439572 1439577) (-959 "RGBCSPC.spad" 1438469 1438480 1438669 1438674) (-958 "RGBCMDL.spad" 1438032 1438043 1438459 1438464) (-957 "RFFACTOR.spad" 1437495 1437505 1438022 1438027) (-956 "RFFACT.spad" 1437231 1437242 1437485 1437490) (-955 "RFDIST.spad" 1436228 1436236 1437221 1437226) (-954 "RF.spad" 1433903 1433913 1436218 1436223) (-953 "RETSOL.spad" 1433323 1433335 1433893 1433898) (-952 "RETRACT.spad" 1432752 1432762 1433313 1433318) (-951 "RETRACT.spad" 1432179 1432191 1432742 1432747) (-950 "RETAST.spad" 1431992 1432000 1432169 1432174) (-949 "RESRING.spad" 1431340 1431386 1431930 1431987) (-948 "RESLATC.spad" 1430665 1430675 1431330 1431335) (-947 "REPSQ.spad" 1430397 1430407 1430655 1430660) (-946 "REPDB.spad" 1430105 1430115 1430387 1430392) (-945 "REP2.spad" 1419820 1419830 1429947 1429952) (-944 "REP1.spad" 1414041 1414051 1419770 1419775) (-943 "REP.spad" 1411596 1411604 1414031 1414036) (-942 "REGSET.spad" 1409283 1409299 1411091 1411096) (-941 "REF.spad" 1408802 1408812 1409273 1409278) (-940 "REDORDER.spad" 1408009 1408025 1408792 1408797) (-939 "RECLOS.spad" 1406906 1406925 1407609 1407702) (-938 "REALSOLV.spad" 1406047 1406055 1406896 1406901) (-937 "REAL0Q.spad" 1403346 1403360 1406037 1406042) (-936 "REAL0.spad" 1400191 1400205 1403336 1403341) (-935 "REAL.spad" 1400064 1400072 1400181 1400186) (-934 "RDUCEAST.spad" 1399786 1399794 1400054 1400059) (-933 "RDIV.spad" 1399442 1399466 1399776 1399781) (-932 "RDIST.spad" 1399010 1399020 1399432 1399437) (-931 "RDETRS.spad" 1397875 1397892 1399000 1399005) (-930 "RDETR.spad" 1396015 1396032 1397865 1397870) (-929 "RDEEFS.spad" 1395115 1395131 1396005 1396010) (-928 "RDEEF.spad" 1394126 1394142 1395105 1395110) (-927 "RCFIELD.spad" 1391345 1391353 1394028 1394121) (-926 "RCFIELD.spad" 1388650 1388660 1391335 1391340) (-925 "RCAGG.spad" 1386587 1386597 1388640 1388645) (-924 "RCAGG.spad" 1384425 1384437 1386480 1386485) (-923 "RATRET.spad" 1383786 1383796 1384415 1384420) (-922 "RATFACT.spad" 1383479 1383490 1383776 1383781) (-921 "RANDSRC.spad" 1382799 1382807 1383469 1383474) (-920 "RADUTIL.spad" 1382556 1382564 1382789 1382794) (-919 "RADIX.spad" 1379601 1379614 1381146 1381239) (-918 "RADFF.spad" 1377518 1377554 1377636 1377792) (-917 "RADCAT.spad" 1377114 1377122 1377508 1377513) (-916 "RADCAT.spad" 1376708 1376718 1377104 1377109) (-915 "QUEUE.spad" 1376144 1376154 1376402 1376407) (-914 "QUATCT2.spad" 1375765 1375783 1376134 1376139) (-913 "QUATCAT.spad" 1373936 1373946 1375695 1375760) (-912 "QUATCAT.spad" 1371872 1371884 1373633 1373638) (-911 "QUAT.spad" 1370479 1370489 1370821 1370886) (-910 "QUAGG.spad" 1369335 1369345 1370469 1370474) (-909 "QQUTAST.spad" 1369104 1369112 1369325 1369330) (-908 "QFORM.spad" 1368723 1368737 1369094 1369099) (-907 "QFCAT2.spad" 1368416 1368432 1368713 1368718) (-906 "QFCAT.spad" 1367119 1367129 1368318 1368411) (-905 "QFCAT.spad" 1365455 1365467 1366656 1366661) (-904 "QEQUAT.spad" 1365014 1365022 1365445 1365450) (-903 "QCMPACK.spad" 1359929 1359948 1365004 1365009) (-902 "QALGSET2.spad" 1357925 1357943 1359919 1359924) (-901 "QALGSET.spad" 1354030 1354062 1357839 1357844) (-900 "PWFFINTB.spad" 1351446 1351467 1354020 1354025) (-899 "PUSHVAR.spad" 1350785 1350804 1351436 1351441) (-898 "PTRANFN.spad" 1346921 1346931 1350775 1350780) (-897 "PTPACK.spad" 1344009 1344019 1346911 1346916) (-896 "PTFUNC2.spad" 1343832 1343846 1343999 1344004) (-895 "PTCAT.spad" 1343109 1343119 1343822 1343827) (-894 "PSQFR.spad" 1342424 1342448 1343099 1343104) (-893 "PSEUDLIN.spad" 1341310 1341320 1342414 1342419) (-892 "PSETPK.spad" 1328015 1328031 1341188 1341193) (-891 "PSETCAT.spad" 1322425 1322448 1328005 1328010) (-890 "PSETCAT.spad" 1316799 1316824 1322381 1322386) (-889 "PSCURVE.spad" 1315798 1315806 1316789 1316794) (-888 "PSCAT.spad" 1314581 1314610 1315696 1315793) (-887 "PSCAT.spad" 1313454 1313485 1314571 1314576) (-886 "PRTITION.spad" 1312152 1312160 1313444 1313449) (-885 "PRTDAST.spad" 1311871 1311879 1312142 1312147) (-884 "PRS.spad" 1301489 1301506 1311827 1311832) (-883 "PRQAGG.spad" 1300946 1300956 1301479 1301484) (-882 "PROPLOG.spad" 1300550 1300558 1300936 1300941) (-881 "PROPFUN2.spad" 1300173 1300186 1300540 1300545) (-880 "PROPFUN1.spad" 1299579 1299590 1300163 1300168) (-879 "PROPFRML.spad" 1298147 1298158 1299569 1299574) (-878 "PROPERTY.spad" 1297643 1297651 1298137 1298142) (-877 "PRODUCT.spad" 1295340 1295352 1295624 1295679) (-876 "PRINT.spad" 1295092 1295100 1295330 1295335) (-875 "PRIMES.spad" 1293353 1293363 1295082 1295087) (-874 "PRIMELT.spad" 1291474 1291488 1293343 1293348) (-873 "PRIMCAT.spad" 1291117 1291125 1291464 1291469) (-872 "PRIMARR2.spad" 1289884 1289896 1291107 1291112) (-871 "PRIMARR.spad" 1288636 1288646 1288806 1288811) (-870 "PREASSOC.spad" 1288018 1288030 1288626 1288631) (-869 "PR.spad" 1286536 1286548 1287235 1287362) (-868 "PPCURVE.spad" 1285673 1285681 1286526 1286531) (-867 "PORTNUM.spad" 1285464 1285472 1285663 1285668) (-866 "POLYROOT.spad" 1284313 1284335 1285420 1285425) (-865 "POLYLIFT.spad" 1283578 1283601 1284303 1284308) (-864 "POLYCATQ.spad" 1281704 1281726 1283568 1283573) (-863 "POLYCAT.spad" 1275206 1275227 1281572 1281699) (-862 "POLYCAT.spad" 1268228 1268251 1274596 1274601) (-861 "POLY2UP.spad" 1267680 1267694 1268218 1268223) (-860 "POLY2.spad" 1267277 1267289 1267670 1267675) (-859 "POLY.spad" 1264945 1264955 1265460 1265587) (-858 "POLUTIL.spad" 1263910 1263939 1264901 1264906) (-857 "POLTOPOL.spad" 1262658 1262673 1263900 1263905) (-856 "POINT.spad" 1261238 1261248 1261325 1261330) (-855 "PNTHEORY.spad" 1257940 1257948 1261228 1261233) (-854 "PMTOOLS.spad" 1256715 1256729 1257930 1257935) (-853 "PMSYM.spad" 1256264 1256274 1256705 1256710) (-852 "PMQFCAT.spad" 1255855 1255869 1256254 1256259) (-851 "PMPREDFS.spad" 1255317 1255339 1255845 1255850) (-850 "PMPRED.spad" 1254804 1254818 1255307 1255312) (-849 "PMPLCAT.spad" 1253881 1253899 1254733 1254738) (-848 "PMLSAGG.spad" 1253466 1253480 1253871 1253876) (-847 "PMKERNEL.spad" 1253045 1253057 1253456 1253461) (-846 "PMINS.spad" 1252625 1252635 1253035 1253040) (-845 "PMFS.spad" 1252202 1252220 1252615 1252620) (-844 "PMDOWN.spad" 1251492 1251506 1252192 1252197) (-843 "PMASSFS.spad" 1250467 1250483 1251482 1251487) (-842 "PMASS.spad" 1249485 1249493 1250457 1250462) (-841 "PLOTTOOL.spad" 1249265 1249273 1249475 1249480) (-840 "PLOT3D.spad" 1245729 1245737 1249255 1249260) (-839 "PLOT1.spad" 1244902 1244912 1245719 1245724) (-838 "PLOT.spad" 1239825 1239833 1244892 1244897) (-837 "PLEQN.spad" 1227227 1227254 1239815 1239820) (-836 "PINTERPA.spad" 1227011 1227027 1227217 1227222) (-835 "PINTERP.spad" 1226633 1226652 1227001 1227006) (-834 "PID.spad" 1225607 1225615 1226559 1226628) (-833 "PICOERCE.spad" 1225264 1225274 1225597 1225602) (-832 "PI.spad" 1224881 1224889 1225238 1225259) (-831 "PGROEB.spad" 1223490 1223504 1224871 1224876) (-830 "PGE.spad" 1215163 1215171 1223480 1223485) (-829 "PGCD.spad" 1214117 1214134 1215153 1215158) (-828 "PFRPAC.spad" 1213266 1213276 1214107 1214112) (-827 "PFR.spad" 1209969 1209979 1213168 1213261) (-826 "PFOTOOLS.spad" 1209227 1209243 1209959 1209964) (-825 "PFOQ.spad" 1208597 1208615 1209217 1209222) (-824 "PFO.spad" 1208016 1208043 1208587 1208592) (-823 "PFECAT.spad" 1205726 1205734 1207942 1208011) (-822 "PFECAT.spad" 1203464 1203474 1205682 1205687) (-821 "PFBRU.spad" 1201352 1201364 1203454 1203459) (-820 "PFBR.spad" 1198912 1198935 1201342 1201347) (-819 "PF.spad" 1198486 1198498 1198717 1198810) (-818 "PERMGRP.spad" 1193256 1193266 1198476 1198481) (-817 "PERMCAT.spad" 1191917 1191927 1193236 1193251) (-816 "PERMAN.spad" 1190473 1190487 1191907 1191912) (-815 "PERM.spad" 1186283 1186293 1190306 1190321) (-814 "PENDTREE.spad" 1185636 1185646 1185916 1185921) (-813 "PDSPC.spad" 1184449 1184459 1185626 1185631) (-812 "PDSPC.spad" 1183260 1183272 1184439 1184444) (-811 "PDRING.spad" 1183102 1183112 1183240 1183255) (-810 "PDMOD.spad" 1182918 1182930 1183070 1183097) (-809 "PDECOMP.spad" 1182388 1182405 1182908 1182913) (-808 "PDDOM.spad" 1181826 1181839 1182378 1182383) (-807 "PDDOM.spad" 1181262 1181277 1181816 1181821) (-806 "PCOMP.spad" 1181115 1181128 1181252 1181257) (-805 "PBWLB.spad" 1179713 1179730 1181105 1181110) (-804 "PATTERN2.spad" 1179451 1179463 1179703 1179708) (-803 "PATTERN1.spad" 1177795 1177811 1179441 1179446) (-802 "PATTERN.spad" 1172370 1172380 1177785 1177790) (-801 "PATRES2.spad" 1172042 1172056 1172360 1172365) (-800 "PATRES.spad" 1169625 1169637 1172032 1172037) (-799 "PATMATCH.spad" 1167866 1167897 1169377 1169382) (-798 "PATMAB.spad" 1167295 1167305 1167856 1167861) (-797 "PATLRES.spad" 1166381 1166395 1167285 1167290) (-796 "PATAB.spad" 1166145 1166155 1166371 1166376) (-795 "PARTPERM.spad" 1164201 1164209 1166135 1166140) (-794 "PARSURF.spad" 1163635 1163663 1164191 1164196) (-793 "PARSU2.spad" 1163432 1163448 1163625 1163630) (-792 "script-parser.spad" 1162952 1162960 1163422 1163427) (-791 "PARSCURV.spad" 1162386 1162414 1162942 1162947) (-790 "PARSC2.spad" 1162177 1162193 1162376 1162381) (-789 "PARPCURV.spad" 1161639 1161667 1162167 1162172) (-788 "PARPC2.spad" 1161430 1161446 1161629 1161634) (-787 "PARAMAST.spad" 1160558 1160566 1161420 1161425) (-786 "PAN2EXPR.spad" 1159970 1159978 1160548 1160553) (-785 "PALETTE.spad" 1159084 1159092 1159960 1159965) (-784 "PAIR.spad" 1158158 1158171 1158727 1158732) (-783 "PADICRC.spad" 1155563 1155581 1156726 1156819) (-782 "PADICRAT.spad" 1153623 1153635 1153836 1153929) (-781 "PADICCT.spad" 1152172 1152184 1153549 1153618) (-780 "PADIC.spad" 1151875 1151887 1152098 1152167) (-779 "PADEPAC.spad" 1150564 1150583 1151865 1151870) (-778 "PADE.spad" 1149316 1149332 1150554 1150559) (-777 "OWP.spad" 1148564 1148594 1149174 1149241) (-776 "OVERSET.spad" 1148137 1148145 1148554 1148559) (-775 "OVAR.spad" 1147918 1147941 1148127 1148132) (-774 "OUTFORM.spad" 1137326 1137334 1147908 1147913) (-773 "OUTBFILE.spad" 1136760 1136768 1137316 1137321) (-772 "OUTBCON.spad" 1135830 1135838 1136750 1136755) (-771 "OUTBCON.spad" 1134898 1134908 1135820 1135825) (-770 "OUT.spad" 1134016 1134024 1134888 1134893) (-769 "OSI.spad" 1133491 1133499 1134006 1134011) (-768 "OSGROUP.spad" 1133409 1133417 1133481 1133486) (-767 "ORTHPOL.spad" 1131920 1131930 1133352 1133357) (-766 "OREUP.spad" 1131414 1131442 1131641 1131680) (-765 "ORESUP.spad" 1130756 1130780 1131135 1131174) (-764 "OREPCTO.spad" 1128645 1128657 1130676 1130681) (-763 "OREPCAT.spad" 1122832 1122842 1128601 1128640) (-762 "OREPCAT.spad" 1116909 1116921 1122680 1122685) (-761 "ORDTYPE.spad" 1116146 1116154 1116899 1116904) (-760 "ORDTYPE.spad" 1115381 1115391 1116136 1116141) (-759 "ORDSTRCT.spad" 1115167 1115182 1115330 1115335) (-758 "ORDSET.spad" 1114867 1114875 1115157 1115162) (-757 "ORDRING.spad" 1114684 1114692 1114847 1114862) (-756 "ORDMON.spad" 1114539 1114547 1114674 1114679) (-755 "ORDFUNS.spad" 1113671 1113687 1114529 1114534) (-754 "ORDFIN.spad" 1113491 1113499 1113661 1113666) (-753 "ORDCOMP2.spad" 1112784 1112796 1113481 1113486) (-752 "ORDCOMP.spad" 1111310 1111320 1112392 1112421) (-751 "OPSIG.spad" 1110972 1110980 1111300 1111305) (-750 "OPQUERY.spad" 1110553 1110561 1110962 1110967) (-749 "OPERCAT.spad" 1110019 1110029 1110543 1110548) (-748 "OPERCAT.spad" 1109483 1109495 1110009 1110014) (-747 "OP.spad" 1109225 1109235 1109305 1109372) (-746 "ONECOMP2.spad" 1108649 1108661 1109215 1109220) (-745 "ONECOMP.spad" 1107455 1107465 1108257 1108286) (-744 "OMSAGG.spad" 1107267 1107277 1107435 1107450) (-743 "OMLO.spad" 1106700 1106712 1107153 1107192) (-742 "OINTDOM.spad" 1106463 1106471 1106626 1106695) (-741 "OFMONOID.spad" 1104602 1104612 1106419 1106424) (-740 "ODVAR.spad" 1103863 1103873 1104592 1104597) (-739 "ODR.spad" 1103507 1103533 1103675 1103824) (-738 "ODPOL.spad" 1101155 1101165 1101495 1101622) (-737 "ODP.spad" 1090642 1090662 1091015 1091100) (-736 "ODETOOLS.spad" 1089291 1089310 1090632 1090637) (-735 "ODESYS.spad" 1086985 1087002 1089281 1089286) (-734 "ODERTRIC.spad" 1083018 1083035 1086942 1086947) (-733 "ODERED.spad" 1082417 1082441 1083008 1083013) (-732 "ODERAT.spad" 1080050 1080067 1082407 1082412) (-731 "ODEPRRIC.spad" 1077143 1077165 1080040 1080045) (-730 "ODEPRIM.spad" 1074541 1074563 1077133 1077138) (-729 "ODEPAL.spad" 1073927 1073951 1074531 1074536) (-728 "ODEINT.spad" 1073362 1073378 1073917 1073922) (-727 "ODEEF.spad" 1068857 1068873 1073352 1073357) (-726 "ODECONST.spad" 1068402 1068420 1068847 1068852) (-725 "OCTCT2.spad" 1068043 1068061 1068392 1068397) (-724 "OCT.spad" 1066358 1066368 1067072 1067111) (-723 "OCAMON.spad" 1066206 1066214 1066348 1066353) (-722 "OC.spad" 1064002 1064012 1066162 1066201) (-721 "OC.spad" 1061537 1061549 1063699 1063704) (-720 "OASGP.spad" 1061352 1061360 1061527 1061532) (-719 "OAMONS.spad" 1060874 1060882 1061342 1061347) (-718 "OAMON.spad" 1060632 1060640 1060864 1060869) (-717 "OAMON.spad" 1060388 1060398 1060622 1060627) (-716 "OAGROUP.spad" 1059926 1059934 1060378 1060383) (-715 "OAGROUP.spad" 1059462 1059472 1059916 1059921) (-714 "NUMTUBE.spad" 1059053 1059069 1059452 1059457) (-713 "NUMQUAD.spad" 1047029 1047037 1059043 1059048) (-712 "NUMODE.spad" 1038381 1038389 1047019 1047024) (-711 "NUMFMT.spad" 1037221 1037229 1038371 1038376) (-710 "NUMERIC.spad" 1029336 1029346 1037027 1037032) (-709 "NTSCAT.spad" 1027866 1027882 1029326 1029331) (-708 "NTPOLFN.spad" 1027443 1027453 1027809 1027814) (-707 "NSUP2.spad" 1026835 1026847 1027433 1027438) (-706 "NSUP.spad" 1020272 1020282 1024692 1024845) (-705 "NSMP.spad" 1017184 1017203 1017476 1017603) (-704 "NREP.spad" 1015586 1015600 1017174 1017179) (-703 "NPCOEF.spad" 1014832 1014852 1015576 1015581) (-702 "NORMRETR.spad" 1014430 1014469 1014822 1014827) (-701 "NORMPK.spad" 1012372 1012391 1014420 1014425) (-700 "NORMMA.spad" 1012060 1012086 1012362 1012367) (-699 "NONE1.spad" 1011736 1011746 1012050 1012055) (-698 "NONE.spad" 1011477 1011485 1011726 1011731) (-697 "NODE1.spad" 1010964 1010980 1011467 1011472) (-696 "NNI.spad" 1009859 1009867 1010938 1010959) (-695 "NLINSOL.spad" 1008485 1008495 1009849 1009854) (-694 "NFINTBAS.spad" 1006045 1006062 1008475 1008480) (-693 "NETCLT.spad" 1006019 1006030 1006035 1006040) (-692 "NCODIV.spad" 1004243 1004259 1006009 1006014) (-691 "NCNTFRAC.spad" 1003885 1003899 1004233 1004238) (-690 "NCEP.spad" 1002051 1002065 1003875 1003880) (-689 "NASRING.spad" 1001655 1001663 1002041 1002046) (-688 "NASRING.spad" 1001257 1001267 1001645 1001650) (-687 "NARNG.spad" 1000657 1000665 1001247 1001252) (-686 "NARNG.spad" 1000055 1000065 1000647 1000652) (-685 "NAALG.spad" 999620 999630 1000023 1000050) (-684 "NAALG.spad" 999205 999217 999610 999615) (-683 "MULTSQFR.spad" 996163 996180 999195 999200) (-682 "MULTFACT.spad" 995546 995563 996153 996158) (-681 "MTSCAT.spad" 993640 993661 995444 995541) (-680 "MTHING.spad" 993299 993309 993630 993635) (-679 "MSYSCMD.spad" 992733 992741 993289 993294) (-678 "MSETAGG.spad" 992590 992600 992713 992728) (-677 "MSET.spad" 990400 990410 992147 992162) (-676 "MRING.spad" 987377 987389 990108 990175) (-675 "MRF2.spad" 986939 986953 987367 987372) (-674 "MRATFAC.spad" 986485 986502 986929 986934) (-673 "MPRFF.spad" 984525 984544 986475 986480) (-672 "MPOLY.spad" 982329 982344 982688 982815) (-671 "MPCPF.spad" 981593 981612 982319 982324) (-670 "MPC3.spad" 981410 981450 981583 981588) (-669 "MPC2.spad" 981064 981097 981400 981405) (-668 "MONOTOOL.spad" 979415 979432 981054 981059) (-667 "catdef.spad" 978848 978859 979069 979410) (-666 "catdef.spad" 978246 978257 978502 978843) (-665 "MONOID.spad" 977567 977575 978236 978241) (-664 "MONOID.spad" 976886 976896 977557 977562) (-663 "MONOGEN.spad" 975634 975647 976746 976881) (-662 "MONOGEN.spad" 974404 974419 975518 975523) (-661 "MONADWU.spad" 972484 972492 974394 974399) (-660 "MONADWU.spad" 970562 970572 972474 972479) (-659 "MONAD.spad" 969722 969730 970552 970557) (-658 "MONAD.spad" 968880 968890 969712 969717) (-657 "MOEBIUS.spad" 967616 967630 968860 968875) (-656 "MODULE.spad" 967486 967496 967584 967611) (-655 "MODULE.spad" 967376 967388 967476 967481) (-654 "MODRING.spad" 966711 966750 967356 967371) (-653 "MODOP.spad" 965368 965380 966533 966600) (-652 "MODMONOM.spad" 965099 965117 965358 965363) (-651 "MODMON.spad" 962169 962181 962884 963037) (-650 "MODFIELD.spad" 961531 961570 962071 962164) (-649 "MMLFORM.spad" 960391 960399 961521 961526) (-648 "MMAP.spad" 960133 960167 960381 960386) (-647 "MLO.spad" 958592 958602 960089 960128) (-646 "MLIFT.spad" 957204 957221 958582 958587) (-645 "MKUCFUNC.spad" 956739 956757 957194 957199) (-644 "MKRECORD.spad" 956327 956340 956729 956734) (-643 "MKFUNC.spad" 955734 955744 956317 956322) (-642 "MKFLCFN.spad" 954702 954712 955724 955729) (-641 "MKBCFUNC.spad" 954197 954215 954692 954697) (-640 "MHROWRED.spad" 952708 952718 954187 954192) (-639 "MFINFACT.spad" 952108 952130 952698 952703) (-638 "MESH.spad" 949903 949911 952098 952103) (-637 "MDDFACT.spad" 948122 948132 949893 949898) (-636 "MDAGG.spad" 947423 947433 948112 948117) (-635 "MCDEN.spad" 946633 946645 947413 947418) (-634 "MAYBE.spad" 945933 945944 946623 946628) (-633 "MATSTOR.spad" 943249 943259 945923 945928) (-632 "MATRIX.spad" 942050 942060 942534 942539) (-631 "MATLIN.spad" 939418 939442 941934 941939) (-630 "MATCAT2.spad" 938700 938748 939408 939413) (-629 "MATCAT.spad" 930418 930440 938690 938695) (-628 "MATCAT.spad" 921986 922010 930260 930265) (-627 "MAPPKG3.spad" 920901 920915 921976 921981) (-626 "MAPPKG2.spad" 920239 920251 920891 920896) (-625 "MAPPKG1.spad" 919067 919077 920229 920234) (-624 "MAPPAST.spad" 918406 918414 919057 919062) (-623 "MAPHACK3.spad" 918218 918232 918396 918401) (-622 "MAPHACK2.spad" 917987 917999 918208 918213) (-621 "MAPHACK1.spad" 917631 917641 917977 917982) (-620 "MAGMA.spad" 915437 915454 917621 917626) (-619 "MACROAST.spad" 915032 915040 915427 915432) (-618 "LZSTAGG.spad" 912286 912296 915022 915027) (-617 "LZSTAGG.spad" 909538 909550 912276 912281) (-616 "LWORD.spad" 906283 906300 909528 909533) (-615 "LSTAST.spad" 906067 906075 906273 906278) (-614 "LSQM.spad" 904357 904371 904751 904790) (-613 "LSPP.spad" 903892 903909 904347 904352) (-612 "LSMP1.spad" 901735 901749 903882 903887) (-611 "LSMP.spad" 900592 900620 901725 901730) (-610 "LSAGG.spad" 900283 900293 900582 900587) (-609 "LSAGG.spad" 899972 899984 900273 900278) (-608 "LPOLY.spad" 898934 898953 899828 899897) (-607 "LPEFRAC.spad" 898205 898215 898924 898929) (-606 "LOGIC.spad" 897807 897815 898195 898200) (-605 "LOGIC.spad" 897407 897417 897797 897802) (-604 "LODOOPS.spad" 896337 896349 897397 897402) (-603 "LODOF.spad" 895383 895400 896294 896299) (-602 "LODOCAT.spad" 894049 894059 895339 895378) (-601 "LODOCAT.spad" 892713 892725 894005 894010) (-600 "LODO2.spad" 892027 892039 892434 892473) (-599 "LODO1.spad" 891468 891478 891748 891787) (-598 "LODO.spad" 890893 890909 891189 891228) (-597 "LODEEF.spad" 889695 889713 890883 890888) (-596 "LO.spad" 889096 889110 889629 889656) (-595 "LNAGG.spad" 885283 885293 889086 889091) (-594 "LNAGG.spad" 881406 881418 885211 885216) (-593 "LMOPS.spad" 878174 878191 881396 881401) (-592 "LMODULE.spad" 877958 877968 878164 878169) (-591 "LMDICT.spad" 877200 877210 877448 877453) (-590 "LLINSET.spad" 876907 876917 877190 877195) (-589 "LITERAL.spad" 876813 876824 876897 876902) (-588 "LIST3.spad" 876124 876138 876803 876808) (-587 "LIST2MAP.spad" 873051 873063 876114 876119) (-586 "LIST2.spad" 871753 871765 873041 873046) (-585 "LIST.spad" 869332 869342 870675 870680) (-584 "LINSET.spad" 869111 869121 869322 869327) (-583 "LINFORM.spad" 868574 868586 869079 869106) (-582 "LINEXP.spad" 867317 867327 868564 868569) (-581 "LINELT.spad" 866688 866700 867200 867227) (-580 "LINDEP.spad" 865537 865549 866600 866605) (-579 "LINBASIS.spad" 865173 865188 865527 865532) (-578 "LIMITRF.spad" 863120 863130 865163 865168) (-577 "LIMITPS.spad" 862030 862043 863110 863115) (-576 "LIECAT.spad" 861514 861524 861956 862025) (-575 "LIECAT.spad" 861026 861038 861470 861475) (-574 "LIE.spad" 859030 859042 860304 860446) (-573 "LIB.spad" 856853 856861 857299 857304) (-572 "LGROBP.spad" 854206 854225 856843 856848) (-571 "LFCAT.spad" 853265 853273 854196 854201) (-570 "LF.spad" 852220 852236 853255 853260) (-569 "LEXTRIPK.spad" 847843 847858 852210 852215) (-568 "LEXP.spad" 845862 845889 847823 847838) (-567 "LETAST.spad" 845561 845569 845852 845857) (-566 "LEADCDET.spad" 843967 843984 845551 845556) (-565 "LAZM3PK.spad" 842711 842733 843957 843962) (-564 "LAUPOL.spad" 841378 841391 842278 842347) (-563 "LAPLACE.spad" 840961 840977 841368 841373) (-562 "LALG.spad" 840737 840747 840941 840956) (-561 "LALG.spad" 840521 840533 840727 840732) (-560 "LA.spad" 839961 839975 840443 840482) (-559 "KVTFROM.spad" 839704 839714 839951 839956) (-558 "KTVLOGIC.spad" 839248 839256 839694 839699) (-557 "KRCFROM.spad" 838994 839004 839238 839243) (-556 "KOVACIC.spad" 837725 837742 838984 838989) (-555 "KONVERT.spad" 837447 837457 837715 837720) (-554 "KOERCE.spad" 837184 837194 837437 837442) (-553 "KERNEL2.spad" 836887 836899 837174 837179) (-552 "KERNEL.spad" 835607 835617 836736 836741) (-551 "KDAGG.spad" 834726 834748 835597 835602) (-550 "KDAGG.spad" 833843 833867 834716 834721) (-549 "KAFILE.spad" 832219 832235 832454 832459) (-548 "JVMOP.spad" 832132 832140 832209 832214) (-547 "JVMMDACC.spad" 831186 831194 832122 832127) (-546 "JVMFDACC.spad" 830502 830510 831176 831181) (-545 "JVMCSTTG.spad" 829231 829239 830492 830497) (-544 "JVMCFACC.spad" 828677 828685 829221 829226) (-543 "JVMBCODE.spad" 828588 828596 828667 828672) (-542 "JORDAN.spad" 826405 826417 827866 828008) (-541 "JOINAST.spad" 826107 826115 826395 826400) (-540 "IXAGG.spad" 824240 824264 826097 826102) (-539 "IXAGG.spad" 822175 822201 824034 824039) (-538 "ITUPLE.spad" 821351 821361 822165 822170) (-537 "ITRIGMNP.spad" 820198 820217 821341 821346) (-536 "ITFUN3.spad" 819704 819718 820188 820193) (-535 "ITFUN2.spad" 819448 819460 819694 819699) (-534 "ITFORM.spad" 818803 818811 819438 819443) (-533 "ITAYLOR.spad" 816797 816812 818667 818764) (-532 "ISUPS.spad" 809246 809261 815783 815880) (-531 "ISUMP.spad" 808747 808763 809236 809241) (-530 "ISAST.spad" 808466 808474 808737 808742) (-529 "IRURPK.spad" 807183 807202 808456 808461) (-528 "IRSN.spad" 805187 805195 807173 807178) (-527 "IRRF2F.spad" 803680 803690 805143 805148) (-526 "IRREDFFX.spad" 803281 803292 803670 803675) (-525 "IROOT.spad" 801620 801630 803271 803276) (-524 "IRFORM.spad" 800944 800952 801610 801615) (-523 "IR2F.spad" 800158 800174 800934 800939) (-522 "IR2.spad" 799186 799202 800148 800153) (-521 "IR.spad" 797022 797036 799068 799095) (-520 "IPRNTPK.spad" 796782 796790 797012 797017) (-519 "IPF.spad" 796347 796359 796587 796680) (-518 "IPADIC.spad" 796116 796142 796273 796342) (-517 "IP4ADDR.spad" 795673 795681 796106 796111) (-516 "IOMODE.spad" 795195 795203 795663 795668) (-515 "IOBFILE.spad" 794580 794588 795185 795190) (-514 "IOBCON.spad" 794445 794453 794570 794575) (-513 "INVLAPLA.spad" 794094 794110 794435 794440) (-512 "INTTR.spad" 787488 787505 794084 794089) (-511 "INTTOOLS.spad" 785296 785312 787115 787120) (-510 "INTSLPE.spad" 784624 784632 785286 785291) (-509 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755107 755210 755215) (-488 "INT32.spad" 754978 754986 755089 755094) (-487 "INT16.spad" 754857 754865 754968 754973) (-486 "INT.spad" 754383 754391 754723 754852) (-485 "INS.spad" 751886 751894 754285 754378) (-484 "INS.spad" 749475 749485 751876 751881) (-483 "INPSIGN.spad" 748945 748958 749465 749470) (-482 "INPRODPF.spad" 748041 748060 748935 748940) (-481 "INPRODFF.spad" 747129 747153 748031 748036) (-480 "INNMFACT.spad" 746104 746121 747119 747124) (-479 "INMODGCD.spad" 745608 745638 746094 746099) (-478 "INFSP.spad" 743905 743927 745598 745603) (-477 "INFPROD0.spad" 742985 743004 743895 743900) (-476 "INFORM1.spad" 742610 742620 742975 742980) (-475 "INFORM.spad" 739821 739829 742600 742605) (-474 "INFINITY.spad" 739373 739381 739811 739816) (-473 "INETCLTS.spad" 739350 739358 739363 739368) (-472 "INEP.spad" 737896 737918 739340 739345) (-471 "INDE.spad" 737545 737562 737806 737811) (-470 "INCRMAPS.spad" 736982 736992 737535 737540) (-469 "INBFILE.spad" 736078 736086 736972 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(-346 "FPS.spad" 534853 534863 537906 537911) (-345 "FPC.spad" 533899 533907 534755 534848) (-344 "FPC.spad" 533031 533041 533889 533894) (-343 "FPATMAB.spad" 532793 532803 533021 533026) (-342 "FPARFRAC.spad" 531635 531652 532783 532788) (-341 "FORDER.spad" 531326 531350 531625 531630) (-340 "FNLA.spad" 530750 530772 531294 531321) (-339 "FNCAT.spad" 529345 529353 530740 530745) (-338 "FNAME.spad" 529237 529245 529335 529340) (-337 "FMONOID.spad" 528918 528928 529193 529198) (-336 "FMONCAT.spad" 526087 526097 528908 528913) (-335 "FMCAT.spad" 523763 523781 526055 526082) (-334 "FM1.spad" 523128 523140 523697 523724) (-333 "FM.spad" 522743 522755 522982 523009) (-332 "FLOATRP.spad" 520486 520500 522733 522738) (-331 "FLOATCP.spad" 517925 517939 520476 520481) (-330 "FLOAT.spad" 515016 515024 517791 517920) (-329 "FLINEXP.spad" 514738 514748 515006 515011) (-328 "FLINEXP.spad" 514417 514429 514687 514692) (-327 "FLASORT.spad" 513743 513755 514407 514412) (-326 "FLALG.spad" 511413 511432 513669 513738) (-325 "FLAGG2.spad" 510130 510146 511403 511408) (-324 "FLAGG.spad" 507206 507216 510120 510125) (-323 "FLAGG.spad" 504147 504159 507063 507068) (-322 "FINRALG.spad" 502232 502245 504103 504142) (-321 "FINRALG.spad" 500243 500258 502116 502121) (-320 "FINITE.spad" 499395 499403 500233 500238) (-319 "FINITE.spad" 498545 498555 499385 499390) (-318 "aggcat.spad" 495475 495485 498535 498540) (-317 "FINAGG.spad" 492370 492382 495432 495437) (-316 "FINAALG.spad" 481555 481565 492312 492365) (-315 "FINAALG.spad" 470752 470764 481511 481516) (-314 "FILECAT.spad" 469286 469303 470742 470747) (-313 "FILE.spad" 468869 468879 469276 469281) (-312 "FIELD.spad" 468275 468283 468771 468864) (-311 "FIELD.spad" 467767 467777 468265 468270) (-310 "FGROUP.spad" 466430 466440 467747 467762) (-309 "FGLMICPK.spad" 465225 465240 466420 466425) (-308 "FFX.spad" 464611 464626 464944 465037) (-307 "FFSLPE.spad" 464122 464143 464601 464606) (-306 "FFPOLY2.spad" 463182 463199 464112 464117) (-305 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"COMPLEX.spad" 141326 141336 141570 141828) (-141 "COMPILER.spad" 140875 140883 141316 141321) (-140 "COMPFACT.spad" 140477 140491 140865 140870) (-139 "COMPCAT.spad" 138552 138562 140214 140472) (-138 "COMPCAT.spad" 136368 136380 138032 138037) (-137 "COMMUPC.spad" 136116 136134 136358 136363) (-136 "COMMONOP.spad" 135649 135657 136106 136111) (-135 "COMMAAST.spad" 135412 135420 135639 135644) (-134 "COMM.spad" 135223 135231 135402 135407) (-133 "COMBOPC.spad" 134146 134154 135213 135218) (-132 "COMBINAT.spad" 132913 132923 134136 134141) (-131 "COMBF.spad" 130335 130351 132903 132908) (-130 "COLOR.spad" 129172 129180 130325 130330) (-129 "COLONAST.spad" 128838 128846 129162 129167) (-128 "CMPLXRT.spad" 128549 128566 128828 128833) (-127 "CLLCTAST.spad" 128211 128219 128539 128544) (-126 "CLIP.spad" 124319 124327 128201 128206) (-125 "CLIF.spad" 122974 122990 124275 124314) (-124 "CLAGG.spad" 120966 120976 122964 122969) (-123 "CLAGG.spad" 118817 118829 120817 120822) (-122 "CINTSLPE.spad" 118172 118185 118807 118812) (-121 "CHVAR.spad" 116310 116332 118162 118167) (-120 "CHARZ.spad" 116225 116233 116290 116305) (-119 "CHARPOL.spad" 115751 115761 116215 116220) (-118 "CHARNZ.spad" 115513 115521 115731 115746) (-117 "CHAR.spad" 112881 112889 115503 115508) (-116 "CFCAT.spad" 112209 112217 112871 112876) (-115 "CDEN.spad" 111429 111443 112199 112204) (-114 "CCLASS.spad" 109510 109518 110772 110787) (-113 "CATEGORY.spad" 108584 108592 109500 109505) (-112 "CATCTOR.spad" 108475 108483 108574 108579) (-111 "CATAST.spad" 108101 108109 108465 108470) (-110 "CASEAST.spad" 107815 107823 108091 108096) (-109 "CARTEN2.spad" 107205 107232 107805 107810) (-108 "CARTEN.spad" 102957 102981 107195 107200) (-107 "CARD.spad" 100252 100260 102931 102952) (-106 "CAPSLAST.spad" 100034 100042 100242 100247) (-105 "CACHSET.spad" 99658 99666 100024 100029) (-104 "CABMON.spad" 99213 99221 99648 99653) (-103 "BYTEORD.spad" 98888 98896 99203 99208) (-102 "BYTEBUF.spad" 96708 96716 97914 97919) (-101 "BYTE.spad" 96183 96191 96698 96703) (-100 "BTREE.spad" 95282 95292 95816 95821) (-99 "BTOURN.spad" 94314 94323 94915 94920) (-98 "BTCAT.spad" 93894 93903 94304 94309) (-97 "BTCAT.spad" 93472 93483 93884 93889) (-96 "BTAGG.spad" 92961 92968 93462 93467) (-95 "BTAGG.spad" 92448 92457 92951 92956) (-94 "BSTREE.spad" 91216 91225 92081 92086) (-93 "BRILL.spad" 89422 89432 91206 91211) (-92 "BRAGG.spad" 88379 88388 89412 89417) (-91 "BRAGG.spad" 87272 87283 88307 88312) (-90 "BPADICRT.spad" 85332 85343 85578 85671) (-89 "BPADIC.spad" 85005 85016 85258 85327) (-88 "BOUNDZRO.spad" 84662 84678 84995 85000) (-87 "BOP1.spad" 82121 82130 84652 84657) (-86 "BOP.spad" 77264 77271 82111 82116) (-85 "BOOLEAN.spad" 76813 76820 77254 77259) (-84 "BOOLE.spad" 76464 76471 76803 76808) (-83 "BOOLE.spad" 76113 76122 76454 76459) (-82 "BMODULE.spad" 75826 75837 76081 76108) (-81 "BITS.spad" 75037 75044 75251 75256) (-80 "catdef.spad" 74920 74930 75027 75032) (-79 "catdef.spad" 74671 74681 74910 74915) (-78 "BINDING.spad" 74093 74100 74661 74666) (-77 "BINARY.spad" 72328 72335 72683 72776) (-76 "BGAGG.spad" 71658 71667 72318 72323) (-75 "BGAGG.spad" 70986 70997 71648 71653) (-74 "BEZOUT.spad" 70127 70153 70936 70941) (-73 "BBTREE.spad" 67031 67040 69760 69765) (-72 "BASTYPE.spad" 66531 66538 67021 67026) (-71 "BASTYPE.spad" 66029 66038 66521 66526) (-70 "BALFACT.spad" 65489 65501 66019 66024) (-69 "AUTOMOR.spad" 64940 64949 65469 65484) (-68 "ATTREG.spad" 62072 62079 64716 64935) (-67 "ATTRAST.spad" 61789 61796 62062 62067) (-66 "ATRIG.spad" 61259 61266 61779 61784) (-65 "ATRIG.spad" 60727 60736 61249 61254) (-64 "ASTCAT.spad" 60631 60638 60717 60722) (-63 "ASTCAT.spad" 60533 60542 60621 60626) (-62 "ASTACK.spad" 59959 59968 60227 60232) (-61 "ASSOCEQ.spad" 58793 58804 59915 59920) (-60 "ARRAY2.spad" 58338 58347 58487 58492) (-59 "ARRAY12.spad" 57051 57062 58328 58333) (-58 "ARRAY1.spad" 55627 55636 55973 55978) (-57 "ARR2CAT.spad" 51689 51710 55617 55622) (-56 "ARR2CAT.spad" 47749 47772 51679 51684) (-55 "ARITY.spad" 47121 47128 47739 47744) (-54 "APPRULE.spad" 46405 46427 47111 47116) (-53 "APPLYORE.spad" 46024 46037 46395 46400) (-52 "ANY1.spad" 45095 45104 46014 46019) (-51 "ANY.spad" 43946 43953 45085 45090) (-50 "ANTISYM.spad" 42391 42407 43926 43941) (-49 "ANON.spad" 42100 42107 42381 42386) (-48 "AN.spad" 40568 40575 41931 42024) (-47 "AMR.spad" 38753 38764 40466 40563) (-46 "AMR.spad" 36801 36814 38516 38521) (-45 "ALIST.spad" 33046 33067 33396 33401) (-44 "ALGSC.spad" 32181 32207 32918 32971) (-43 "ALGPKG.spad" 27964 27975 32137 32142) (-42 "ALGMFACT.spad" 27157 27171 27954 27959) (-41 "ALGMANIP.spad" 24658 24673 27001 27006) (-40 "ALGFF.spad" 22476 22503 22693 22849) (-39 "ALGFACT.spad" 21595 21605 22466 22471) (-38 "ALGEBRA.spad" 21428 21437 21551 21590) (-37 "ALGEBRA.spad" 21293 21304 21418 21423) (-36 "ALAGG.spad" 20831 20852 21283 21288) (-35 "AHYP.spad" 20212 20219 20821 20826) (-34 "AGG.spad" 19119 19126 20202 20207) (-33 "AGG.spad" 18024 18033 19109 19114) (-32 "AF.spad" 16469 16484 17973 17978) (-31 "ADDAST.spad" 16155 16162 16459 16464) (-30 "ACPLOT.spad" 15032 15039 16145 16150) (-29 "ACFS.spad" 12889 12898 14934 15027) (-28 "ACFS.spad" 10832 10843 12879 12884) (-27 "ACF.spad" 7586 7593 10734 10827) (-26 "ACF.spad" 4426 4435 7576 7581) (-25 "ABELSG.spad" 3967 3974 4416 4421) (-24 "ABELSG.spad" 3506 3515 3957 3962) (-23 "ABELMON.spad" 2934 2941 3496 3501) (-22 "ABELMON.spad" 2360 2369 2924 2929) (-21 "ABELGRP.spad" 2025 2032 2350 2355) (-20 "ABELGRP.spad" 1688 1697 2015 2020) (-19 "A1AGG.spad" 860 869 1678 1683) (-18 "A1AGG.spad" 30 41 850 855)) 
-\ No newline at end of file
+((-3 NIL 1965569 1965574 1965579 1965584) (-2 NIL 1965549 1965554 1965559 1965564) (-1 NIL 1965529 1965534 1965539 1965544) (0 NIL 1965509 1965514 1965519 1965524) (-1211 "ZMOD.spad" 1965318 1965331 1965447 1965504) (-1210 "ZLINDEP.spad" 1964416 1964427 1965308 1965313) (-1209 "ZDSOLVE.spad" 1954377 1954399 1964406 1964411) (-1208 "YSTREAM.spad" 1953872 1953883 1954367 1954372) (-1207 "YDIAGRAM.spad" 1953506 1953515 1953862 1953867) (-1206 "XRPOLY.spad" 1952726 1952746 1953362 1953431) (-1205 "XPR.spad" 1950654 1950667 1952444 1952543) (-1204 "XPOLYC.spad" 1949973 1949989 1950580 1950649) (-1203 "XPOLY.spad" 1949528 1949539 1949829 1949898) (-1202 "XPBWPOLY.spad" 1947999 1948019 1949334 1949403) (-1201 "XFALG.spad" 1945180 1945196 1947925 1947994) (-1200 "XF.spad" 1943643 1943658 1945082 1945175) (-1199 "XF.spad" 1942086 1942103 1943527 1943532) (-1198 "XEXPPKG.spad" 1941345 1941371 1942076 1942081) (-1197 "XDPOLY.spad" 1940959 1940975 1941201 1941270) (-1196 "XALG.spad" 1940627 1940638 1940915 1940954) (-1195 "WUTSET.spad" 1936491 1936508 1940122 1940127) (-1194 "WP.spad" 1935698 1935742 1936349 1936416) (-1193 "WHILEAST.spad" 1935496 1935505 1935688 1935693) (-1192 "WHEREAST.spad" 1935167 1935176 1935486 1935491) (-1191 "WFFINTBS.spad" 1932830 1932852 1935157 1935162) (-1190 "WEIER.spad" 1931052 1931063 1932820 1932825) (-1189 "VSPACE.spad" 1930725 1930736 1931020 1931047) (-1188 "VSPACE.spad" 1930418 1930431 1930715 1930720) (-1187 "VOID.spad" 1930095 1930104 1930408 1930413) (-1186 "VIEWDEF.spad" 1925296 1925305 1930085 1930090) (-1185 "VIEW3D.spad" 1909257 1909266 1925286 1925291) (-1184 "VIEW2D.spad" 1897156 1897165 1909247 1909252) (-1183 "VIEW.spad" 1894876 1894885 1897146 1897151) (-1182 "VECTOR2.spad" 1893515 1893528 1894866 1894871) (-1181 "VECTOR.spad" 1891931 1891942 1892182 1892187) (-1180 "VECTCAT.spad" 1889865 1889876 1891921 1891926) (-1179 "VECTCAT.spad" 1887586 1887599 1889644 1889649) (-1178 "VARIABLE.spad" 1887366 1887381 1887576 1887581) (-1177 "UTYPE.spad" 1887010 1887019 1887356 1887361) (-1176 "UTSODETL.spad" 1886305 1886329 1886966 1886971) (-1175 "UTSODE.spad" 1884521 1884541 1886295 1886300) (-1174 "UTSCAT.spad" 1882000 1882016 1884419 1884516) (-1173 "UTSCAT.spad" 1879147 1879165 1881568 1881573) (-1172 "UTS2.spad" 1878742 1878777 1879137 1879142) (-1171 "UTS.spad" 1873754 1873782 1877274 1877371) (-1170 "URAGG.spad" 1868475 1868486 1873744 1873749) (-1169 "URAGG.spad" 1863132 1863145 1868403 1868408) (-1168 "UPXSSING.spad" 1860900 1860926 1862336 1862469) (-1167 "UPXSCONS.spad" 1858718 1858738 1859091 1859240) (-1166 "UPXSCCA.spad" 1857289 1857309 1858564 1858713) (-1165 "UPXSCCA.spad" 1856002 1856024 1857279 1857284) (-1164 "UPXSCAT.spad" 1854591 1854607 1855848 1855997) (-1163 "UPXS2.spad" 1854134 1854187 1854581 1854586) (-1162 "UPXS.spad" 1851489 1851517 1852325 1852474) (-1161 "UPSQFREE.spad" 1849904 1849918 1851479 1851484) (-1160 "UPSCAT.spad" 1847699 1847723 1849802 1849899) (-1159 "UPSCAT.spad" 1845195 1845221 1847300 1847305) (-1158 "UPOLYC2.spad" 1844666 1844685 1845185 1845190) (-1157 "UPOLYC.spad" 1839746 1839757 1844508 1844661) (-1156 "UPOLYC.spad" 1834744 1834757 1839508 1839513) (-1155 "UPMP.spad" 1833676 1833689 1834734 1834739) (-1154 "UPDIVP.spad" 1833241 1833255 1833666 1833671) (-1153 "UPDECOMP.spad" 1831502 1831516 1833231 1833236) (-1152 "UPCDEN.spad" 1830719 1830735 1831492 1831497) (-1151 "UP2.spad" 1830083 1830104 1830709 1830714) (-1150 "UP.spad" 1827553 1827568 1827940 1828093) (-1149 "UNISEG2.spad" 1827050 1827063 1827509 1827514) (-1148 "UNISEG.spad" 1826403 1826414 1826969 1826974) (-1147 "UNIFACT.spad" 1825506 1825518 1826393 1826398) (-1146 "ULSCONS.spad" 1819352 1819372 1819722 1819871) (-1145 "ULSCCAT.spad" 1817089 1817109 1819198 1819347) (-1144 "ULSCCAT.spad" 1814934 1814956 1817045 1817050) (-1143 "ULSCAT.spad" 1813174 1813190 1814780 1814929) (-1142 "ULS2.spad" 1812688 1812741 1813164 1813169) (-1141 "ULS.spad" 1804721 1804749 1805666 1806089) (-1140 "UINT8.spad" 1804598 1804607 1804711 1804716) (-1139 "UINT64.spad" 1804474 1804483 1804588 1804593) (-1138 "UINT32.spad" 1804350 1804359 1804464 1804469) (-1137 "UINT16.spad" 1804226 1804235 1804340 1804345) (-1136 "UFD.spad" 1803291 1803300 1804152 1804221) (-1135 "UFD.spad" 1802418 1802429 1803281 1803286) (-1134 "UDVO.spad" 1801299 1801308 1802408 1802413) (-1133 "UDPO.spad" 1798880 1798891 1801255 1801260) (-1132 "TYPEAST.spad" 1798799 1798808 1798870 1798875) (-1131 "TYPE.spad" 1798731 1798740 1798789 1798794) (-1130 "TWOFACT.spad" 1797383 1797398 1798721 1798726) (-1129 "TUPLE.spad" 1796890 1796901 1797295 1797300) (-1128 "TUBETOOL.spad" 1793757 1793766 1796880 1796885) (-1127 "TUBE.spad" 1792404 1792421 1793747 1793752) (-1126 "TSETCAT.spad" 1780497 1780514 1792394 1792399) (-1125 "TSETCAT.spad" 1768554 1768573 1780453 1780458) (-1124 "TS.spad" 1767182 1767198 1768148 1768245) (-1123 "TRMANIP.spad" 1761546 1761563 1766870 1766875) (-1122 "TRIMAT.spad" 1760509 1760534 1761536 1761541) (-1121 "TRIGMNIP.spad" 1759036 1759053 1760499 1760504) (-1120 "TRIGCAT.spad" 1758548 1758557 1759026 1759031) (-1119 "TRIGCAT.spad" 1758058 1758069 1758538 1758543) (-1118 "TREE.spad" 1756659 1756670 1757691 1757696) (-1117 "TRANFUN.spad" 1756498 1756507 1756649 1756654) (-1116 "TRANFUN.spad" 1756335 1756346 1756488 1756493) (-1115 "TOPSP.spad" 1756009 1756018 1756325 1756330) (-1114 "TOOLSIGN.spad" 1755672 1755683 1755999 1756004) (-1113 "TEXTFILE.spad" 1754233 1754242 1755662 1755667) (-1112 "TEX1.spad" 1753789 1753800 1754223 1754228) (-1111 "TEX.spad" 1750983 1750992 1753779 1753784) (-1110 "TBCMPPK.spad" 1749084 1749107 1750973 1750978) (-1109 "TBAGG.spad" 1748349 1748372 1749074 1749079) (-1108 "TBAGG.spad" 1747612 1747637 1748339 1748344) (-1107 "TANEXP.spad" 1747020 1747031 1747602 1747607) (-1106 "TALGOP.spad" 1746744 1746755 1747010 1747015) (-1105 "TABLEAU.spad" 1746225 1746236 1746734 1746739) (-1104 "TABLE.spad" 1743935 1743958 1744205 1744210) (-1103 "TABLBUMP.spad" 1740714 1740725 1743925 1743930) (-1102 "SYSTEM.spad" 1739942 1739951 1740704 1740709) (-1101 "SYSSOLP.spad" 1737425 1737436 1739932 1739937) (-1100 "SYSPTR.spad" 1737324 1737333 1737415 1737420) (-1099 "SYSNNI.spad" 1736547 1736558 1737314 1737319) (-1098 "SYSINT.spad" 1735951 1735962 1736537 1736542) (-1097 "SYNTAX.spad" 1732285 1732294 1735941 1735946) (-1096 "SYMTAB.spad" 1730353 1730362 1732275 1732280) (-1095 "SYMS.spad" 1726382 1726391 1730343 1730348) (-1094 "SYMPOLY.spad" 1725515 1725526 1725597 1725724) (-1093 "SYMFUNC.spad" 1725016 1725027 1725505 1725510) (-1092 "SYMBOL.spad" 1722511 1722520 1725006 1725011) (-1091 "SUTS.spad" 1719624 1719652 1721043 1721140) (-1090 "SUPXS.spad" 1716966 1716994 1717815 1717964) (-1089 "SUPFRACF.spad" 1716071 1716089 1716956 1716961) (-1088 "SUP2.spad" 1715463 1715476 1716061 1716066) (-1087 "SUP.spad" 1712547 1712558 1713320 1713473) (-1086 "SUMRF.spad" 1711521 1711532 1712537 1712542) (-1085 "SUMFS.spad" 1711150 1711167 1711511 1711516) (-1084 "SULS.spad" 1703170 1703198 1704128 1704551) (-1083 "syntax.spad" 1702939 1702948 1703160 1703165) (-1082 "SUCH.spad" 1702629 1702644 1702929 1702934) (-1081 "SUBSPACE.spad" 1694760 1694775 1702619 1702624) (-1080 "SUBRESP.spad" 1693930 1693944 1694716 1694721) (-1079 "STTFNC.spad" 1690398 1690414 1693920 1693925) (-1078 "STTF.spad" 1686497 1686513 1690388 1690393) (-1077 "STTAYLOR.spad" 1679174 1679185 1686404 1686409) (-1076 "STRTBL.spad" 1677047 1677064 1677196 1677201) (-1075 "STRING.spad" 1675688 1675697 1676073 1676078) (-1074 "STREAM3.spad" 1675261 1675276 1675678 1675683) (-1073 "STREAM2.spad" 1674389 1674402 1675251 1675256) (-1072 "STREAM1.spad" 1674095 1674106 1674379 1674384) (-1071 "STREAM.spad" 1671055 1671066 1673546 1673551) (-1070 "STINPROD.spad" 1669991 1670007 1671045 1671050) (-1069 "STEPAST.spad" 1669225 1669234 1669981 1669986) (-1068 "STEP.spad" 1668542 1668551 1669215 1669220) (-1067 "STBL.spad" 1666355 1666383 1666522 1666527) (-1066 "STAGG.spad" 1665054 1665065 1666345 1666350) (-1065 "STAGG.spad" 1663751 1663764 1665044 1665049) (-1064 "STACK.spad" 1663195 1663206 1663445 1663450) (-1063 "SRING.spad" 1662955 1662964 1663185 1663190) (-1062 "SREGSET.spad" 1660548 1660565 1662450 1662455) (-1061 "SRDCMPK.spad" 1659125 1659145 1660538 1660543) (-1060 "SRAGG.spad" 1654330 1654339 1659115 1659120) (-1059 "SRAGG.spad" 1649533 1649544 1654320 1654325) (-1058 "SQMATRIX.spad" 1647222 1647240 1648138 1648213) (-1057 "SPLTREE.spad" 1641882 1641895 1646678 1646683) (-1056 "SPLNODE.spad" 1638502 1638515 1641872 1641877) (-1055 "SPFCAT.spad" 1637311 1637320 1638492 1638497) (-1054 "SPECOUT.spad" 1635863 1635872 1637301 1637306) (-1053 "SPADXPT.spad" 1627954 1627963 1635853 1635858) (-1052 "spad-parser.spad" 1627419 1627428 1627944 1627949) (-1051 "SPADAST.spad" 1627120 1627129 1627409 1627414) (-1050 "SPACEC.spad" 1611335 1611346 1627110 1627115) (-1049 "SPACE3.spad" 1611111 1611122 1611325 1611330) (-1048 "SORTPAK.spad" 1610660 1610673 1611067 1611072) (-1047 "SOLVETRA.spad" 1608423 1608434 1610650 1610655) (-1046 "SOLVESER.spad" 1606879 1606890 1608413 1608418) (-1045 "SOLVERAD.spad" 1602905 1602916 1606869 1606874) (-1044 "SOLVEFOR.spad" 1601367 1601385 1602895 1602900) (-1043 "SNTSCAT.spad" 1600989 1601006 1601357 1601362) (-1042 "SMTS.spad" 1599306 1599332 1600583 1600680) (-1041 "SMP.spad" 1597114 1597134 1597504 1597631) (-1040 "SMITH.spad" 1595959 1595984 1597104 1597109) (-1039 "SMATCAT.spad" 1594089 1594119 1595915 1595954) (-1038 "SMATCAT.spad" 1592139 1592171 1593967 1593972) (-1037 "aggcat.spad" 1591825 1591836 1592129 1592134) (-1036 "SKAGG.spad" 1590816 1590827 1591815 1591820) (-1035 "SINT.spad" 1590115 1590124 1590682 1590811) (-1034 "SIMPAN.spad" 1589843 1589852 1590105 1590110) (-1033 "SIGNRF.spad" 1588968 1588979 1589833 1589838) (-1032 "SIGNEF.spad" 1588254 1588271 1588958 1588963) (-1031 "syntax.spad" 1587671 1587680 1588244 1588249) (-1030 "SIG.spad" 1587033 1587042 1587661 1587666) (-1029 "SHP.spad" 1584977 1584992 1586989 1586994) (-1028 "SHDP.spad" 1574320 1574347 1574837 1574922) (-1027 "SGROUP.spad" 1573928 1573937 1574310 1574315) (-1026 "SGROUP.spad" 1573534 1573545 1573918 1573923) (-1025 "catdef.spad" 1573244 1573256 1573355 1573529) (-1024 "catdef.spad" 1572800 1572812 1573065 1573239) (-1023 "SGCF.spad" 1565939 1565948 1572790 1572795) (-1022 "SFRTCAT.spad" 1564907 1564924 1565929 1565934) (-1021 "SFRGCD.spad" 1563970 1563990 1564897 1564902) (-1020 "SFQCMPK.spad" 1558783 1558803 1563960 1563965) (-1019 "SEXOF.spad" 1558626 1558666 1558773 1558778) (-1018 "SEXCAT.spad" 1556454 1556494 1558616 1558621) (-1017 "SEX.spad" 1556346 1556355 1556444 1556449) (-1016 "SETMN.spad" 1554806 1554823 1556336 1556341) (-1015 "SETCAT.spad" 1554291 1554300 1554796 1554801) (-1014 "SETCAT.spad" 1553774 1553785 1554281 1554286) (-1013 "SETAGG.spad" 1550323 1550334 1553754 1553769) (-1012 "SETAGG.spad" 1546880 1546893 1550313 1550318) (-1011 "SET.spad" 1545050 1545061 1546149 1546164) (-1010 "syntax.spad" 1544753 1544762 1545040 1545045) (-1009 "SEGXCAT.spad" 1543909 1543922 1544743 1544748) (-1008 "SEGCAT.spad" 1542834 1542845 1543899 1543904) (-1007 "SEGBIND2.spad" 1542532 1542545 1542824 1542829) (-1006 "SEGBIND.spad" 1542290 1542301 1542479 1542484) (-1005 "SEGAST.spad" 1542020 1542029 1542280 1542285) (-1004 "SEG2.spad" 1541455 1541468 1541976 1541981) (-1003 "SEG.spad" 1541268 1541279 1541374 1541379) (-1002 "SDVAR.spad" 1540544 1540555 1541258 1541263) (-1001 "SDPOL.spad" 1538236 1538247 1538527 1538654) (-1000 "SCPKG.spad" 1536325 1536336 1538226 1538231) (-999 "SCOPE.spad" 1535503 1535511 1536315 1536320) (-998 "SCACHE.spad" 1534200 1534210 1535493 1535498) (-997 "SASTCAT.spad" 1534110 1534118 1534190 1534195) (-996 "SAOS.spad" 1533983 1533991 1534100 1534105) (-995 "SAERFFC.spad" 1533697 1533716 1533973 1533978) (-994 "SAEFACT.spad" 1533399 1533418 1533687 1533692) (-993 "SAE.spad" 1531050 1531065 1531660 1531795) (-992 "RURPK.spad" 1528710 1528725 1531040 1531045) (-991 "RULESET.spad" 1528164 1528187 1528700 1528705) (-990 "RULECOLD.spad" 1528017 1528029 1528154 1528159) (-989 "RULE.spad" 1526266 1526289 1528007 1528012) (-988 "RTVALUE.spad" 1526002 1526010 1526256 1526261) (-987 "syntax.spad" 1525720 1525728 1525992 1525997) (-986 "RSETGCD.spad" 1522163 1522182 1525710 1525715) (-985 "RSETCAT.spad" 1512154 1512170 1522153 1522158) (-984 "RSETCAT.spad" 1502143 1502161 1512144 1512149) (-983 "RSDCMPK.spad" 1500644 1500663 1502133 1502138) (-982 "RRCC.spad" 1499029 1499058 1500634 1500639) (-981 "RRCC.spad" 1497412 1497443 1499019 1499024) (-980 "RPTAST.spad" 1497115 1497123 1497402 1497407) (-979 "RPOLCAT.spad" 1476620 1476634 1496983 1497110) (-978 "RPOLCAT.spad" 1455918 1455934 1476283 1476288) (-977 "ROMAN.spad" 1455247 1455255 1455784 1455913) (-976 "ROIRC.spad" 1454328 1454359 1455237 1455242) (-975 "RNS.spad" 1453305 1453313 1454230 1454323) (-974 "RNS.spad" 1452368 1452378 1453295 1453300) 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1401078) (-935 "REAL.spad" 1397801 1397809 1397918 1397923) (-934 "RDUCEAST.spad" 1397523 1397531 1397791 1397796) (-933 "RDIV.spad" 1397179 1397203 1397513 1397518) (-932 "RDIST.spad" 1396747 1396757 1397169 1397174) (-931 "RDETRS.spad" 1395612 1395629 1396737 1396742) (-930 "RDETR.spad" 1393752 1393769 1395602 1395607) (-929 "RDEEFS.spad" 1392852 1392868 1393742 1393747) (-928 "RDEEF.spad" 1391863 1391879 1392842 1392847) (-927 "RCFIELD.spad" 1389082 1389090 1391765 1391858) (-926 "RCFIELD.spad" 1386387 1386397 1389072 1389077) (-925 "RCAGG.spad" 1384324 1384334 1386377 1386382) (-924 "RCAGG.spad" 1382162 1382174 1384217 1384222) (-923 "RATRET.spad" 1381523 1381533 1382152 1382157) (-922 "RATFACT.spad" 1381216 1381227 1381513 1381518) (-921 "RANDSRC.spad" 1380536 1380544 1381206 1381211) (-920 "RADUTIL.spad" 1380293 1380301 1380526 1380531) (-919 "RADIX.spad" 1377338 1377351 1378883 1378976) (-918 "RADFF.spad" 1375255 1375291 1375373 1375529) (-917 "RADCAT.spad" 1374851 1374859 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"PMASS.spad" 1247222 1247230 1248194 1248199) (-841 "PLOTTOOL.spad" 1247002 1247010 1247212 1247217) (-840 "PLOT3D.spad" 1243466 1243474 1246992 1246997) (-839 "PLOT1.spad" 1242639 1242649 1243456 1243461) (-838 "PLOT.spad" 1237562 1237570 1242629 1242634) (-837 "PLEQN.spad" 1224964 1224991 1237552 1237557) (-836 "PINTERPA.spad" 1224748 1224764 1224954 1224959) (-835 "PINTERP.spad" 1224370 1224389 1224738 1224743) (-834 "PID.spad" 1223344 1223352 1224296 1224365) (-833 "PICOERCE.spad" 1223001 1223011 1223334 1223339) (-832 "PI.spad" 1222618 1222626 1222975 1222996) (-831 "PGROEB.spad" 1221227 1221241 1222608 1222613) (-830 "PGE.spad" 1212900 1212908 1221217 1221222) (-829 "PGCD.spad" 1211854 1211871 1212890 1212895) (-828 "PFRPAC.spad" 1211003 1211013 1211844 1211849) (-827 "PFR.spad" 1207706 1207716 1210905 1210998) (-826 "PFOTOOLS.spad" 1206964 1206980 1207696 1207701) (-825 "PFOQ.spad" 1206334 1206352 1206954 1206959) (-824 "PFO.spad" 1205753 1205780 1206324 1206329) (-823 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648629 648637 650148 650153) (-406 "GRALG.spad" 647724 647736 648619 648624) (-405 "GRALG.spad" 646817 646831 647714 647719) (-404 "GPOLSET.spad" 646136 646159 646348 646353) (-403 "GOSPER.spad" 645413 645431 646126 646131) (-402 "GMODPOL.spad" 644561 644588 645381 645408) (-401 "GHENSEL.spad" 643644 643658 644551 644556) (-400 "GENUPS.spad" 639937 639950 643634 643639) (-399 "GENUFACT.spad" 639514 639524 639927 639932) (-398 "GENPGCD.spad" 639116 639133 639504 639509) (-397 "GENMFACT.spad" 638568 638587 639106 639111) (-396 "GENEEZ.spad" 636527 636540 638558 638563) (-395 "GDMP.spad" 633916 633933 634690 634817) (-394 "GCNAALG.spad" 627839 627866 633710 633777) (-393 "GCDDOM.spad" 627031 627039 627765 627834) (-392 "GCDDOM.spad" 626285 626295 627021 627026) (-391 "GBINTERN.spad" 622305 622343 626275 626280) (-390 "GBF.spad" 618088 618126 622295 622300) (-389 "GBEUCLID.spad" 615970 616008 618078 618083) (-388 "GB.spad" 613496 613534 615926 615931) (-387 "GAUSSFAC.spad" 612809 612817 613486 613491) (-386 "GALUTIL.spad" 611135 611145 612765 612770) (-385 "GALPOLYU.spad" 609589 609602 611125 611130) (-384 "GALFACTU.spad" 607802 607821 609579 609584) (-383 "GALFACT.spad" 598015 598026 607792 607797) (-382 "FUNDESC.spad" 597693 597701 598005 598010) (-381 "catdef.spad" 597304 597314 597683 597688) (-380 "FUNCTION.spad" 597153 597165 597294 597299) (-379 "FT.spad" 595453 595461 597143 597148) (-378 "FSUPFACT.spad" 594367 594386 595403 595408) (-377 "FST.spad" 592453 592461 594357 594362) (-376 "FSRED.spad" 591933 591949 592443 592448) (-375 "FSPRMELT.spad" 590799 590815 591890 591895) (-374 "FSPECF.spad" 588890 588906 590789 590794) (-373 "FSINT.spad" 588550 588566 588880 588885) (-372 "FSERIES.spad" 587741 587753 588370 588469) (-371 "FSCINT.spad" 587058 587074 587731 587736) (-370 "FSAGG2.spad" 585793 585809 587048 587053) (-369 "FSAGG.spad" 584934 584944 585773 585788) (-368 "FSAGG.spad" 584013 584025 584854 584859) (-367 "FS2UPS.spad" 578528 578562 584003 584008) (-366 "FS2EXPXP.spad" 577669 577692 578518 578523) (-365 "FS2.spad" 577324 577340 577659 577664) (-364 "FS.spad" 571596 571606 577103 577319) (-363 "FS.spad" 565670 565682 571179 571184) (-362 "FRUTIL.spad" 564624 564634 565660 565665) (-361 "FRNAALG.spad" 559901 559911 564566 564619) (-360 "FRNAALG.spad" 555190 555202 559857 559862) (-359 "FRNAAF2.spad" 554638 554656 555180 555185) (-358 "FRMOD.spad" 554046 554076 554567 554572) (-357 "FRIDEAL2.spad" 553650 553682 554036 554041) (-356 "FRIDEAL.spad" 552875 552896 553630 553645) (-355 "FRETRCT.spad" 552394 552404 552865 552870) (-354 "FRETRCT.spad" 551820 551832 552293 552298) (-353 "FRAMALG.spad" 550200 550213 551776 551815) (-352 "FRAMALG.spad" 548612 548627 550190 550195) (-351 "FRAC2.spad" 548217 548229 548602 548607) (-350 "FRAC.spad" 546204 546214 546591 546764) (-349 "FR2.spad" 545540 545552 546194 546199) (-348 "FR.spad" 539644 539654 544601 544670) (-347 "FPS.spad" 536483 536491 539534 539639) (-346 "FPS.spad" 533350 533360 536403 536408) (-345 "FPC.spad" 532396 532404 533252 533345) (-344 "FPC.spad" 531528 531538 532386 532391) (-343 "FPATMAB.spad" 531290 531300 531518 531523) (-342 "FPARFRAC.spad" 530132 530149 531280 531285) (-341 "FORDER.spad" 529823 529847 530122 530127) (-340 "FNLA.spad" 529247 529269 529791 529818) (-339 "FNCAT.spad" 527842 527850 529237 529242) (-338 "FNAME.spad" 527734 527742 527832 527837) (-337 "FMONOID.spad" 527415 527425 527690 527695) (-336 "FMONCAT.spad" 524584 524594 527405 527410) (-335 "FMCAT.spad" 522420 522438 524552 524579) (-334 "FM1.spad" 521785 521797 522354 522381) (-333 "FM.spad" 521400 521412 521639 521666) (-332 "FLOATRP.spad" 519143 519157 521390 521395) (-331 "FLOATCP.spad" 516582 516596 519133 519138) (-330 "FLOAT.spad" 513673 513681 516448 516577) (-329 "FLINEXP.spad" 513395 513405 513663 513668) (-328 "FLINEXP.spad" 513074 513086 513344 513349) (-327 "FLASORT.spad" 512400 512412 513064 513069) (-326 "FLALG.spad" 510070 510089 512326 512395) (-325 "FLAGG2.spad" 508787 508803 510060 510065) (-324 "FLAGG.spad" 505863 505873 508777 508782) (-323 "FLAGG.spad" 502804 502816 505720 505725) (-322 "FINRALG.spad" 500889 500902 502760 502799) (-321 "FINRALG.spad" 498900 498915 500773 500778) (-320 "FINITE.spad" 498052 498060 498890 498895) (-319 "FINITE.spad" 497202 497212 498042 498047) (-318 "aggcat.spad" 494132 494142 497192 497197) (-317 "FINAGG.spad" 491027 491039 494089 494094) (-316 "FINAALG.spad" 480212 480222 490969 491022) (-315 "FINAALG.spad" 469409 469421 480168 480173) (-314 "FILECAT.spad" 467943 467960 469399 469404) (-313 "FILE.spad" 467526 467536 467933 467938) (-312 "FIELD.spad" 466932 466940 467428 467521) (-311 "FIELD.spad" 466424 466434 466922 466927) (-310 "FGROUP.spad" 465087 465097 466404 466419) (-309 "FGLMICPK.spad" 463882 463897 465077 465082) (-308 "FFX.spad" 463268 463283 463601 463694) (-307 "FFSLPE.spad" 462779 462800 463258 463263) (-306 "FFPOLY2.spad" 461839 461856 462769 462774) (-305 "FFPOLY.spad" 453181 453192 461829 461834) (-304 "FFP.spad" 452589 452609 452900 452993) (-303 "FFNBX.spad" 451112 451132 452308 452401) (-302 "FFNBP.spad" 449636 449653 450831 450924) (-301 "FFNB.spad" 448104 448125 449320 449413) (-300 "FFINTBAS.spad" 445618 445637 448094 448099) (-299 "FFIELDC.spad" 443203 443211 445520 445613) (-298 "FFIELDC.spad" 440874 440884 443193 443198) (-297 "FFHOM.spad" 439646 439663 440864 440869) (-296 "FFF.spad" 437089 437100 439636 439641) (-295 "FFCGX.spad" 435947 435967 436808 436901) (-294 "FFCGP.spad" 434847 434867 435666 435759) (-293 "FFCG.spad" 433642 433663 434531 434624) (-292 "FFCAT2.spad" 433389 433429 433632 433637) (-291 "FFCAT.spad" 426554 426576 433228 433384) (-290 "FFCAT.spad" 419798 419822 426474 426479) (-289 "FF.spad" 419249 419265 419482 419575) (-288 "FEVALAB.spad" 419086 419096 419239 419244) (-287 "FEVALAB.spad" 418699 418711 418854 418859) (-286 "FDIVCAT.spad" 416795 416819 418689 418694) (-285 "FDIVCAT.spad" 414889 414915 416785 416790) (-284 "FDIV2.spad" 414545 414585 414879 414884) (-283 "FDIV.spad" 414003 414027 414535 414540) (-282 "FCTRDATA.spad" 413011 413019 413993 413998) (-281 "FCOMP.spad" 412390 412400 413001 413006) (-280 "FAXF.spad" 405425 405439 412292 412385) (-279 "FAXF.spad" 398512 398528 405381 405386) (-278 "FARRAY.spad" 396401 396411 397434 397439) (-277 "FAMR.spad" 394545 394557 396299 396396) (-276 "FAMR.spad" 392673 392687 394429 394434) (-275 "FAMONOID.spad" 392357 392367 392627 392632) (-274 "FAMONC.spad" 390677 390689 392347 392352) (-273 "FAGROUP.spad" 390317 390327 390573 390600) (-272 "FACUTIL.spad" 388529 388546 390307 390312) (-271 "FACTFUNC.spad" 387731 387741 388519 388524) (-270 "EXPUPXS.spad" 384623 384646 385922 386071) (-269 "EXPRTUBE.spad" 381911 381919 384613 384618) (-268 "EXPRODE.spad" 379079 379095 381901 381906) (-267 "EXPR2UPS.spad" 375201 375214 379069 379074) (-266 "EXPR2.spad" 374906 374918 375191 375196) (-265 "EXPR.spad" 370551 370561 371265 371552) (-264 "EXPEXPAN.spad" 367496 367521 368128 368221) (-263 "EXITAST.spad" 367232 367240 367486 367491) (-262 "EXIT.spad" 366903 366911 367222 367227) (-261 "EVALCYC.spad" 366363 366377 366893 366898) (-260 "EVALAB.spad" 365943 365953 366353 366358) (-259 "EVALAB.spad" 365521 365533 365933 365938) (-258 "EUCDOM.spad" 363111 363119 365447 365516) (-257 "EUCDOM.spad" 360763 360773 363101 363106) (-256 "ES2.spad" 360276 360292 360753 360758) (-255 "ES1.spad" 359846 359862 360266 360271) (-254 "ES.spad" 352717 352725 359836 359841) (-253 "ES.spad" 345509 345519 352630 352635) (-252 "ERROR.spad" 342836 342844 345499 345504) (-251 "EQTBL.spad" 340607 340629 340816 340821) (-250 "EQ2.spad" 340325 340337 340597 340602) (-249 "EQ.spad" 335231 335241 338026 338132) (-248 "EP.spad" 331557 331567 335221 335226) (-247 "ENV.spad" 330235 330243 331547 331552) (-246 "ENTIRER.spad" 329903 329911 330179 330230) (-245 "ENTIRER.spad" 329615 329625 329893 329898) (-244 "EMR.spad" 328903 328944 329541 329610) (-243 "ELTAGG.spad" 327157 327176 328893 328898) (-242 "ELTAGG.spad" 325347 325368 327085 327090) (-241 "ELTAB.spad" 324822 324835 325337 325342) (-240 "ELFUTS.spad" 324257 324276 324812 324817) (-239 "ELEMFUN.spad" 323946 323954 324247 324252) (-238 "ELEMFUN.spad" 323633 323643 323936 323941) (-237 "ELAGG.spad" 321614 321624 323623 323628) (-236 "ELAGG.spad" 319524 319536 321535 321540) (-235 "ELABOR.spad" 318870 318878 319514 319519) (-234 "ELABEXPR.spad" 317802 317810 318860 318865) (-233 "EFUPXS.spad" 314578 314608 317758 317763) (-232 "EFULS.spad" 311414 311437 314534 314539) (-231 "EFSTRUC.spad" 309429 309445 311404 311409) (-230 "EF.spad" 304205 304221 309419 309424) (-229 "EAB.spad" 302505 302513 304195 304200) (-228 "DVARCAT.spad" 299511 299521 302495 302500) (-227 "DVARCAT.spad" 296515 296527 299501 299506) (-226 "DSMP.spad" 294248 294262 294553 294680) (-225 "DSEXT.spad" 293550 293560 294238 294243) (-224 "DSEXT.spad" 292772 292784 293462 293467) (-223 "DROPT1.spad" 292437 292447 292762 292767) (-222 "DROPT0.spad" 287302 287310 292427 292432) (-221 "DROPT.spad" 281261 281269 287292 287297) (-220 "DRAWPT.spad" 279434 279442 281251 281256) (-219 "DRAWHACK.spad" 278742 278752 279424 279429) (-218 "DRAWCX.spad" 276220 276228 278732 278737) (-217 "DRAWCURV.spad" 275767 275782 276210 276215) (-216 "DRAWCFUN.spad" 265299 265307 275757 275762) (-215 "DRAW.spad" 258175 258188 265289 265294) (-214 "DQAGG.spad" 256375 256385 258165 258170) (-213 "DPOLCAT.spad" 251732 251748 256243 256370) (-212 "DPOLCAT.spad" 247175 247193 251688 251693) (-211 "DPMO.spad" 239728 239744 239866 240060) (-210 "DPMM.spad" 232294 232312 232419 232613) (-209 "DOMTMPLT.spad" 232065 232073 232284 232289) (-208 "DOMCTOR.spad" 231820 231828 232055 232060) (-207 "DOMAIN.spad" 230931 230939 231810 231815) (-206 "DMP.spad" 228524 228539 229094 229221) (-205 "DMEXT.spad" 228391 228401 228492 228519) (-204 "DLP.spad" 227751 227761 228381 228386) (-203 "DLIST.spad" 226069 226079 226673 226678) (-202 "DLAGG.spad" 224486 224496 226059 226064) (-201 "DIVRING.spad" 224028 224036 224430 224481) (-200 "DIVRING.spad" 223614 223624 224018 224023) (-199 "DISPLAY.spad" 221804 221812 223604 223609) (-198 "DIRPROD2.spad" 220622 220640 221794 221799) (-197 "DIRPROD.spad" 209842 209858 210482 210567) (-196 "DIRPCAT.spad" 209137 209153 209752 209837) (-195 "DIRPCAT.spad" 208046 208064 208663 208668) (-194 "DIOSP.spad" 206871 206879 208036 208041) (-193 "DIOPS.spad" 205877 205887 206861 206866) (-192 "DIOPS.spad" 204820 204832 205806 205811) (-191 "catdef.spad" 204678 204686 204810 204815) (-190 "DIFRING.spad" 204516 204524 204658 204673) (-189 "DIFFSPC.spad" 204095 204103 204506 204511) (-188 "DIFFSPC.spad" 203672 203682 204085 204090) (-187 "DIFFMOD.spad" 203161 203171 203640 203667) (-186 "DIFFDOM.spad" 202326 202337 203151 203156) (-185 "DIFFDOM.spad" 201489 201502 202316 202321) (-184 "DIFEXT.spad" 201308 201318 201469 201484) (-183 "DIAGG.spad" 200948 200958 201298 201303) (-182 "DIAGG.spad" 200586 200598 200938 200943) (-181 "DHMATRIX.spad" 198985 198995 200130 200135) (-180 "DFSFUN.spad" 192625 192633 198975 198980) (-179 "DFLOAT.spad" 189232 189240 192515 192620) (-178 "DFINTTLS.spad" 187463 187479 189222 189227) (-177 "DERHAM.spad" 185550 185582 187443 187458) (-176 "DEQUEUE.spad" 184961 184971 185244 185249) (-175 "DEGRED.spad" 184578 184592 184951 184956) (-174 "DEFINTRF.spad" 182160 182170 184568 184573) (-173 "DEFINTEF.spad" 180698 180714 182150 182155) (-172 "DEFAST.spad" 180082 180090 180688 180693) (-171 "DECIMAL.spad" 178311 178319 178672 178765) (-170 "DDFACT.spad" 176132 176149 178301 178306) (-169 "DBLRESP.spad" 175732 175756 176122 176127) (-168 "DBASIS.spad" 175358 175373 175722 175727) (-167 "DBASE.spad" 174022 174032 175348 175353) (-166 "DATAARY.spad" 173508 173521 174012 174017) (-165 "CYCLOTOM.spad" 173014 173022 173498 173503) (-164 "CYCLES.spad" 169800 169808 173004 173009) (-163 "CVMP.spad" 169217 169227 169790 169795) (-162 "CTRIGMNP.spad" 167717 167733 169207 169212) (-161 "CTORKIND.spad" 167320 167328 167707 167712) (-160 "CTORCAT.spad" 166561 166569 167310 167315) (-159 "CTORCAT.spad" 165800 165810 166551 166556) (-158 "CTORCALL.spad" 165389 165399 165790 165795) (-157 "CTOR.spad" 165080 165088 165379 165384) (-156 "CSTTOOLS.spad" 164325 164338 165070 165075) (-155 "CRFP.spad" 158097 158110 164315 164320) (-154 "CRCEAST.spad" 157817 157825 158087 158092) (-153 "CRAPACK.spad" 156884 156894 157807 157812) (-152 "CPMATCH.spad" 156385 156400 156806 156811) (-151 "CPIMA.spad" 156090 156109 156375 156380) (-150 "COORDSYS.spad" 151099 151109 156080 156085) (-149 "CONTOUR.spad" 150526 150534 151089 151094) (-148 "CONTFRAC.spad" 146276 146286 150428 150521) (-147 "CONDUIT.spad" 146034 146042 146266 146271) (-146 "COMRING.spad" 145708 145716 145972 146029) (-145 "COMPPROP.spad" 145226 145234 145698 145703) (-144 "COMPLPAT.spad" 144993 145008 145216 145221) (-143 "COMPLEX2.spad" 144708 144720 144983 144988) (-142 "COMPLEX.spad" 140414 140424 140658 140916) (-141 "COMPILER.spad" 139963 139971 140404 140409) (-140 "COMPFACT.spad" 139565 139579 139953 139958) (-139 "COMPCAT.spad" 137640 137650 139302 139560) (-138 "COMPCAT.spad" 135456 135468 137120 137125) (-137 "COMMUPC.spad" 135204 135222 135446 135451) (-136 "COMMONOP.spad" 134737 134745 135194 135199) (-135 "COMMAAST.spad" 134500 134508 134727 134732) (-134 "COMM.spad" 134311 134319 134490 134495) (-133 "COMBOPC.spad" 133234 133242 134301 134306) (-132 "COMBINAT.spad" 132001 132011 133224 133229) (-131 "COMBF.spad" 129423 129439 131991 131996) (-130 "COLOR.spad" 128260 128268 129413 129418) (-129 "COLONAST.spad" 127926 127934 128250 128255) (-128 "CMPLXRT.spad" 127637 127654 127916 127921) (-127 "CLLCTAST.spad" 127299 127307 127627 127632) (-126 "CLIP.spad" 123407 123415 127289 127294) (-125 "CLIF.spad" 122062 122078 123363 123402) (-124 "CLAGG.spad" 120054 120064 122052 122057) (-123 "CLAGG.spad" 117905 117917 119905 119910) (-122 "CINTSLPE.spad" 117260 117273 117895 117900) (-121 "CHVAR.spad" 115398 115420 117250 117255) (-120 "CHARZ.spad" 115313 115321 115378 115393) (-119 "CHARPOL.spad" 114839 114849 115303 115308) (-118 "CHARNZ.spad" 114601 114609 114819 114834) (-117 "CHAR.spad" 111969 111977 114591 114596) (-116 "CFCAT.spad" 111297 111305 111959 111964) (-115 "CDEN.spad" 110517 110531 111287 111292) (-114 "CCLASS.spad" 108598 108606 109860 109875) (-113 "CATEGORY.spad" 107672 107680 108588 108593) (-112 "CATCTOR.spad" 107563 107571 107662 107667) (-111 "CATAST.spad" 107189 107197 107553 107558) (-110 "CASEAST.spad" 106903 106911 107179 107184) (-109 "CARTEN2.spad" 106293 106320 106893 106898) (-108 "CARTEN.spad" 102045 102069 106283 106288) (-107 "CARD.spad" 99340 99348 102019 102040) (-106 "CAPSLAST.spad" 99122 99130 99330 99335) (-105 "CACHSET.spad" 98746 98754 99112 99117) (-104 "CABMON.spad" 98301 98309 98736 98741) (-103 "BYTEORD.spad" 97976 97984 98291 98296) (-102 "BYTEBUF.spad" 95796 95804 97002 97007) (-101 "BYTE.spad" 95271 95279 95786 95791) (-100 "BTREE.spad" 94370 94380 94904 94909) (-99 "BTOURN.spad" 93402 93411 94003 94008) (-98 "BTCAT.spad" 92982 92991 93392 93397) (-97 "BTCAT.spad" 92560 92571 92972 92977) (-96 "BTAGG.spad" 92049 92056 92550 92555) (-95 "BTAGG.spad" 91536 91545 92039 92044) (-94 "BSTREE.spad" 90304 90313 91169 91174) (-93 "BRILL.spad" 88510 88520 90294 90299) (-92 "BRAGG.spad" 87467 87476 88500 88505) (-91 "BRAGG.spad" 86360 86371 87395 87400) (-90 "BPADICRT.spad" 84420 84431 84666 84759) (-89 "BPADIC.spad" 84093 84104 84346 84415) (-88 "BOUNDZRO.spad" 83750 83766 84083 84088) (-87 "BOP1.spad" 81209 81218 83740 83745) (-86 "BOP.spad" 76352 76359 81199 81204) (-85 "BOOLEAN.spad" 75901 75908 76342 76347) (-84 "BOOLE.spad" 75552 75559 75891 75896) (-83 "BOOLE.spad" 75201 75210 75542 75547) (-82 "BMODULE.spad" 74914 74925 75169 75196) (-81 "BITS.spad" 74125 74132 74339 74344) (-80 "catdef.spad" 74008 74018 74115 74120) (-79 "catdef.spad" 73759 73769 73998 74003) (-78 "BINDING.spad" 73181 73188 73749 73754) (-77 "BINARY.spad" 71416 71423 71771 71864) (-76 "BGAGG.spad" 70746 70755 71406 71411) (-75 "BGAGG.spad" 70074 70085 70736 70741) (-74 "BEZOUT.spad" 69215 69241 70024 70029) (-73 "BBTREE.spad" 66119 66128 68848 68853) (-72 "BASTYPE.spad" 65619 65626 66109 66114) (-71 "BASTYPE.spad" 65117 65126 65609 65614) (-70 "BALFACT.spad" 64577 64589 65107 65112) (-69 "AUTOMOR.spad" 64028 64037 64557 64572) (-68 "ATTREG.spad" 61160 61167 63804 64023) (-67 "ATTRAST.spad" 60877 60884 61150 61155) (-66 "ATRIG.spad" 60347 60354 60867 60872) (-65 "ATRIG.spad" 59815 59824 60337 60342) (-64 "ASTCAT.spad" 59719 59726 59805 59810) (-63 "ASTCAT.spad" 59621 59630 59709 59714) (-62 "ASTACK.spad" 59047 59056 59315 59320) (-61 "ASSOCEQ.spad" 57881 57892 59003 59008) (-60 "ARRAY2.spad" 57426 57435 57575 57580) (-59 "ARRAY12.spad" 56139 56150 57416 57421) (-58 "ARRAY1.spad" 54715 54724 55061 55066) (-57 "ARR2CAT.spad" 51024 51045 54705 54710) (-56 "ARR2CAT.spad" 47331 47354 51014 51019) (-55 "ARITY.spad" 46703 46710 47321 47326) (-54 "APPRULE.spad" 45987 46009 46693 46698) (-53 "APPLYORE.spad" 45606 45619 45977 45982) (-52 "ANY1.spad" 44677 44686 45596 45601) (-51 "ANY.spad" 43528 43535 44667 44672) (-50 "ANTISYM.spad" 42101 42117 43508 43523) (-49 "ANON.spad" 41810 41817 42091 42096) (-48 "AN.spad" 40278 40285 41641 41734) (-47 "AMR.spad" 38608 38619 40176 40273) (-46 "AMR.spad" 36801 36814 38371 38376) (-45 "ALIST.spad" 33046 33067 33396 33401) (-44 "ALGSC.spad" 32181 32207 32918 32971) (-43 "ALGPKG.spad" 27964 27975 32137 32142) (-42 "ALGMFACT.spad" 27157 27171 27954 27959) (-41 "ALGMANIP.spad" 24658 24673 27001 27006) (-40 "ALGFF.spad" 22476 22503 22693 22849) (-39 "ALGFACT.spad" 21595 21605 22466 22471) (-38 "ALGEBRA.spad" 21428 21437 21551 21590) (-37 "ALGEBRA.spad" 21293 21304 21418 21423) (-36 "ALAGG.spad" 20831 20852 21283 21288) (-35 "AHYP.spad" 20212 20219 20821 20826) (-34 "AGG.spad" 19119 19126 20202 20207) (-33 "AGG.spad" 18024 18033 19109 19114) (-32 "AF.spad" 16469 16484 17973 17978) (-31 "ADDAST.spad" 16155 16162 16459 16464) (-30 "ACPLOT.spad" 15032 15039 16145 16150) (-29 "ACFS.spad" 12889 12898 14934 15027) (-28 "ACFS.spad" 10832 10843 12879 12884) (-27 "ACF.spad" 7586 7593 10734 10827) (-26 "ACF.spad" 4426 4435 7576 7581) (-25 "ABELSG.spad" 3967 3974 4416 4421) (-24 "ABELSG.spad" 3506 3515 3957 3962) (-23 "ABELMON.spad" 2934 2941 3496 3501) (-22 "ABELMON.spad" 2360 2369 2924 2929) (-21 "ABELGRP.spad" 2025 2032 2350 2355) (-20 "ABELGRP.spad" 1688 1697 2015 2020) (-19 "A1AGG.spad" 860 869 1678 1683) (-18 "A1AGG.spad" 30 41 850 855)) 
+\ No newline at end of file
author	dos-reis <gdr@axiomatics.org>	2013-05-20 04:55:09 +0000
committer	dos-reis <gdr@axiomatics.org>	2013-05-20 04:55:09 +0000
commit	1316b335ecc97eeaaa4c91258b31c789d8f4b0d3 (patch)
tree	ed428505010ccaac4e4d2bfeb4f667b8039c50f1 /src/share/algebra/browse.daase
parent	4c3e77d5efc19d097c7995f7d5f64eee0400ff66 (diff)
download	open-axiom-1316b335ecc97eeaaa4c91258b31c789d8f4b0d3.tar.gz