(/VERSIONCHECK 2) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%Shell|) |%Thing|) |POLYCAT-;eval;SLS;1|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|) |POLYCAT-;monomials;SL;2|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;isPlus;SU;3|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;isTimes;SU;4|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;isExpt;SU;5|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| (|%IntegerSection| 0) |%Shell|) |%Thing|) |POLYCAT-;coefficient;SVarSetNniS;6|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%List| |%Shell|) |%Thing|) |POLYCAT-;coefficient;SLLS;7|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%List| |%Shell|) |%Thing|) |POLYCAT-;monomial;SLLS;8|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;retract;SVarSet;9|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;retractIfCan;SU;10|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;mkPrim|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|) |POLYCAT-;primitiveMonomials;SL;12|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) (|%IntegerSection| 0)) |POLYCAT-;totalDegree;SNni;13|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%Shell|) (|%IntegerSection| 0)) |POLYCAT-;totalDegree;SLNni;14|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;resultant;2SVarSetS;15|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;discriminant;SVarSetS;16|)) (DECLAIM (FTYPE (FUNCTION (|%List| |%Shell|) |%List|) |POLYCAT-;allMonoms|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| (|%IntegerSection| 0) |%Shell|) (|%Vector| *)) |POLYCAT-;P2R|)) (DECLAIM (FTYPE (FUNCTION (|%List| |%List| |%Shell|) |%Thing|) |POLYCAT-;eq2R|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;reducedSystem;MM;20|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| (|%Vector| *) |%Shell|) |%Pair|) |POLYCAT-;reducedSystem;MVR;21|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;gcdPolynomial;3Sup;22|)) (DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|) |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;factorPolynomial;SupF;24|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;factorSquareFreePolynomial;SupF;25|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;factor;SF;26|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;conditionP;MU;27|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |POLYCAT-;charthRoot;SU;28|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| (|%IntegerSection| 0) |%Shell|) |%Pair|) |POLYCAT-;charthRootlv|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Pair|) |POLYCAT-;monicDivide;2SVarSetR;30|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFree;SF;31|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFree;SF;32|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFree;SF;33|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;squareFreePart;2S;34|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;content;SVarSetS;35|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;primitivePart;2S;36|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;primitivePart;SVarSetS;37|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|) |POLYCAT-;before?;2SB;38|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;patternMatch;SP2Pmr;39|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |POLYCAT-;patternMatch;SP2Pmr;40|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;convert;SP;41|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;convert;SP;42|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |POLYCAT-;convert;SIf;43|)) (DEFUN |POLYCAT-;eval;SLS;1| (|p| |l| $) (PROG (|lvar|) (RETURN (COND ((NULL |l|) |p|) (T (SEQ (LET ((#0=#:G1666 |l|)) (LOOP (COND ((ATOM #0#) (RETURN NIL)) (T (LET ((|e| (CAR #0#))) (COND ((EQL (CAR (SPADCALL (SPADCALL |e| (|shellEntry| $ 14)) (|shellEntry| $ 16))) 1) (RETURN (|error| "cannot find a variable to evaluate"))))))) (SETQ #0# (CDR #0#)))) (LETT |lvar| (LET ((#1=#:G1668 |l|) (#2=#:G1667 NIL)) (LOOP (COND ((ATOM #1#) (RETURN (NREVERSE #2#))) (T (LET ((|e| (CAR #1#))) (SETQ #2# (CONS (SPADCALL (SPADCALL |e| (|shellEntry| $ 14)) (|shellEntry| $ 17)) #2#))))) (SETQ #1# (CDR #1#)))) |POLYCAT-;eval;SLS;1|) (EXIT (SPADCALL |p| |lvar| (LET ((#3=#:G1670 |l|) (#4=#:G1669 NIL)) (LOOP (COND ((ATOM #3#) (RETURN (NREVERSE #4#))) (T (LET ((|e| (CAR #3#))) (SETQ #4# (CONS (SPADCALL |e| (|shellEntry| $ 18)) #4#))))) (SETQ #3# (CDR #3#)))) (|shellEntry| $ 21))))))))) (DEFUN |POLYCAT-;monomials;SL;2| (|p| $) (LET ((|ml| NIL)) (SEQ (LOOP (COND ((NOT (SPADCALL |p| (|spadConstant| $ 27) (|shellEntry| $ 29))) (RETURN NIL)) (T (SEQ (SETQ |ml| (CONS (SPADCALL |p| (|shellEntry| $ 30)) |ml|)) (EXIT (SETQ |p| (SPADCALL |p| (|shellEntry| $ 32)))))))) (EXIT (REVERSE |ml|))))) (DEFUN |POLYCAT-;isPlus;SU;3| (|p| $) (PROG (|l|) (RETURN (COND ((NULL (CDR (LETT |l| (SPADCALL |p| (|shellEntry| $ 35)) |POLYCAT-;isPlus;SU;3|))) (CONS 1 "failed")) (T (CONS 0 |l|)))))) (DEFUN |POLYCAT-;isTimes;SU;4| (|p| $) (PROG (|lv| |l| |r|) (RETURN (COND ((OR (NULL (LETT |lv| (SPADCALL |p| (|shellEntry| $ 40)) |POLYCAT-;isTimes;SU;4|)) (NOT (SPADCALL |p| (|shellEntry| $ 42)))) (CONS 1 "failed")) (T (SEQ (LETT |l| (LET ((#0=#:G1672 |lv|) (#1=#:G1671 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|v| (CAR #0#))) (SETQ #1# (CONS (SPADCALL (|spadConstant| $ 43) |v| (SPADCALL |p| |v| (|shellEntry| $ 46)) (|shellEntry| $ 47)) #1#))))) (SETQ #0# (CDR #0#)))) |POLYCAT-;isTimes;SU;4|) (EXIT (COND ((SPADCALL (LETT |r| (SPADCALL |p| (|shellEntry| $ 48)) |POLYCAT-;isTimes;SU;4|) (|shellEntry| $ 49)) (COND ((NULL (CDR |lv|)) (CONS 1 "failed")) (T (CONS 0 |l|)))) (T (CONS 0 (CONS (SPADCALL |r| (|shellEntry| $ 51)) |l|))))))))))) (DEFUN |POLYCAT-;isExpt;SU;5| (|p| $) (PROG (|d|) (RETURN (LET ((|u| (SPADCALL |p| (|shellEntry| $ 53)))) (COND ((OR (EQL (CAR |u|) 1) (NOT (SPADCALL |p| (SPADCALL (|spadConstant| $ 43) (CDR |u|) (LETT |d| (SPADCALL |p| (CDR |u|) (|shellEntry| $ 46)) |POLYCAT-;isExpt;SU;5|) (|shellEntry| $ 47)) (|shellEntry| $ 54)))) (CONS 1 "failed")) (T (CONS 0 (CONS (CDR |u|) |d|)))))))) (DEFUN |POLYCAT-;coefficient;SVarSetNniS;6| (|p| |v| |n| $) (SPADCALL (SPADCALL |p| |v| (|shellEntry| $ 59)) |n| (|shellEntry| $ 61))) (DEFUN |POLYCAT-;coefficient;SLLS;7| (|p| |lv| |ln| $) (COND ((NULL |lv|) (COND ((NULL |ln|) |p|) (T (|error| "mismatched lists in coefficient")))) ((NULL |ln|) (|error| "mismatched lists in coefficient")) (T (SPADCALL (SPADCALL (SPADCALL |p| (|SPADfirst| |lv|) (|shellEntry| $ 59)) (|SPADfirst| |ln|) (|shellEntry| $ 61)) (CDR |lv|) (CDR |ln|) (|shellEntry| $ 68))))) (DEFUN |POLYCAT-;monomial;SLLS;8| (|p| |lv| |ln| $) (COND ((NULL |lv|) (COND ((NULL |ln|) |p|) (T (|error| "mismatched lists in monomial")))) ((NULL |ln|) (|error| "mismatched lists in monomial")) (T (SPADCALL (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |ln|) (|shellEntry| $ 47)) (CDR |lv|) (CDR |ln|) (|shellEntry| $ 70))))) (DEFUN |POLYCAT-;retract;SVarSet;9| (|p| $) (LET ((|q| (LET ((#0=#:G1453 (SPADCALL |p| (|shellEntry| $ 53)))) (|check-union| (ZEROP (CAR #0#)) (SVREF $ 9) #0#) (CDR #0#)))) (COND ((SPADCALL (SPADCALL |q| (|shellEntry| $ 72)) |p| (|shellEntry| $ 54)) |q|) (T (|error| "Polynomial is not a single variable"))))) (DEFUN |POLYCAT-;retractIfCan;SU;10| (|p| $) (PROG (|q| #0=#:G1461) (RETURN (SEQ (EXIT (SEQ (SEQ (LETT |q| (SPADCALL |p| (|shellEntry| $ 53)) |POLYCAT-;retractIfCan;SU;10|) (EXIT (COND ((AND (ZEROP (CAR |q|)) (SPADCALL (SPADCALL (CDR |q|) (|shellEntry| $ 72)) |p| (|shellEntry| $ 54))) (PROGN (LETT #0# |q| |POLYCAT-;retractIfCan;SU;10|) (GO #0#)))))) (EXIT (CONS 1 "failed")))) #0# (EXIT #0#))))) (DEFUN |POLYCAT-;mkPrim| (|p| $) (SPADCALL (|spadConstant| $ 44) (SPADCALL |p| (|shellEntry| $ 75)) (|shellEntry| $ 76))) (DEFUN |POLYCAT-;primitiveMonomials;SL;12| (|p| $) (LET ((#0=#:G1674 (SPADCALL |p| (|shellEntry| $ 35))) (#1=#:G1673 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|q| (CAR #0#))) (SETQ #1# (CONS (|POLYCAT-;mkPrim| |q| $) #1#))))) (SETQ #0# (CDR #0#))))) (DEFUN |POLYCAT-;totalDegree;SNni;13| (|p| $) (COND ((SPADCALL |p| (|shellEntry| $ 78)) 0) (T (LET ((|u| (SPADCALL |p| (LET ((#0=#:G1467 (SPADCALL |p| (|shellEntry| $ 53)))) (|check-union| (ZEROP (CAR #0#)) (SVREF $ 9) #0#) (CDR #0#)) (|shellEntry| $ 59))) (|d| 0)) (SEQ (LOOP (COND ((NOT (SPADCALL |u| (|spadConstant| $ 80) (|shellEntry| $ 81))) (RETURN NIL)) (T (SEQ (SETQ |d| (MAX |d| (+ (SPADCALL |u| (|shellEntry| $ 82)) (SPADCALL (SPADCALL |u| (|shellEntry| $ 83)) (|shellEntry| $ 84))))) (EXIT (SETQ |u| (SPADCALL |u| (|shellEntry| $ 87)))))))) (EXIT |d|)))))) (DEFUN |POLYCAT-;totalDegree;SLNni;14| (|p| |lv| $) (PROG (|v| |u| |d| |w|) (RETURN (COND ((SPADCALL |p| (|shellEntry| $ 78)) 0) (T (SEQ (LETT |u| (SPADCALL |p| (LETT |v| (LET ((#0=#:G1475 (SPADCALL |p| (|shellEntry| $ 53)))) (|check-union| (ZEROP (CAR #0#)) (SVREF $ 9) #0#) (CDR #0#)) |POLYCAT-;totalDegree;SLNni;14|) (|shellEntry| $ 59)) |POLYCAT-;totalDegree;SLNni;14|) (LETT |d| 0 |POLYCAT-;totalDegree;SLNni;14|) (LETT |w| 0 |POLYCAT-;totalDegree;SLNni;14|) (COND ((SPADCALL |v| |lv| (|shellEntry| $ 89)) (SETQ |w| 1))) (LOOP (COND ((NOT (SPADCALL |u| (|spadConstant| $ 80) (|shellEntry| $ 81))) (RETURN NIL)) (T (SEQ (SETQ |d| (MAX |d| (+ (* |w| (SPADCALL |u| (|shellEntry| $ 82))) (SPADCALL (SPADCALL |u| (|shellEntry| $ 83)) |lv| (|shellEntry| $ 92))))) (EXIT (SETQ |u| (SPADCALL |u| (|shellEntry| $ 87)))))))) (EXIT |d|))))))) (DEFUN |POLYCAT-;resultant;2SVarSetS;15| (|p1| |p2| |mvar| $) (SPADCALL (SPADCALL |p1| |mvar| (|shellEntry| $ 59)) (SPADCALL |p2| |mvar| (|shellEntry| $ 59)) (|shellEntry| $ 94))) (DEFUN |POLYCAT-;discriminant;SVarSetS;16| (|p| |var| $) (SPADCALL (SPADCALL |p| |var| (|shellEntry| $ 59)) (|shellEntry| $ 96))) (DEFUN |POLYCAT-;allMonoms| (|l| $) (SPADCALL (SPADCALL (LET ((#0=#:G1676 |l|) (#1=#:G1675 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|p| (CAR #0#))) (SETQ #1# (CONS (SPADCALL |p| (|shellEntry| $ 98)) #1#))))) (SETQ #0# (CDR #0#)))) (|shellEntry| $ 99)) (|shellEntry| $ 100))) (DEFUN |POLYCAT-;P2R| (|p| |b| |n| $) (LET ((|w| (SPADCALL |n| (|spadConstant| $ 28) (|shellEntry| $ 102)))) (SEQ (LET ((|i| (SPADCALL |w| (|shellEntry| $ 104))) (#0=#:G1677 (|sizeOfSimpleArray| |w|)) (#1=#:G1678 |b|)) (LOOP (COND ((OR (> |i| #0#) (ATOM #1#)) (RETURN NIL)) (T (LET ((|bj| (CAR #1#))) (SPADCALL |w| |i| (SPADCALL |p| |bj| (|shellEntry| $ 106)) (|shellEntry| $ 107))))) (SETQ |i| (+ |i| 1)) (SETQ #1# (CDR #1#)))) (EXIT |w|)))) (DEFUN |POLYCAT-;eq2R| (|l| |b| $) (SPADCALL (LET ((#0=#:G1682 |b|) (#1=#:G1679 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|bj| (CAR #0#))) (SETQ #1# (CONS (LET ((#2=#:G1681 |l|) (#3=#:G1680 NIL)) (LOOP (COND ((ATOM #2#) (RETURN (NREVERSE #3#))) (T (LET ((|p| (CAR #2#))) (SETQ #3# (CONS (SPADCALL |p| |bj| (|shellEntry| $ 106)) #3#))))) (SETQ #2# (CDR #2#)))) #1#))))) (SETQ #0# (CDR #0#)))) (|shellEntry| $ 111))) (DEFUN |POLYCAT-;reducedSystem;MM;20| (|m| $) (LET* ((|l| (SPADCALL |m| (|shellEntry| $ 114))) (|b| (SPADCALL (SPADCALL (LET ((#0=#:G1684 |l|) (#1=#:G1683 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|r| (CAR #0#))) (SETQ #1# (CONS (|POLYCAT-;allMonoms| |r| $) #1#))))) (SETQ #0# (CDR #0#)))) (|shellEntry| $ 99)) (|shellEntry| $ 100))) (|d| (LET ((#2=#:G1686 |b|) (#3=#:G1685 NIL)) (LOOP (COND ((ATOM #2#) (RETURN (NREVERSE #3#))) (T (LET ((|bj| (CAR #2#))) (SETQ #3# (CONS (SPADCALL |bj| (|shellEntry| $ 75)) #3#))))) (SETQ #2# (CDR #2#))))) (|mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $))) (SEQ (SETQ |l| (CDR |l|)) (LOOP (COND ((NOT (NOT (NULL |l|))) (RETURN NIL)) (T (SEQ (SETQ |mm| (SPADCALL |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $) (|shellEntry| $ 119))) (EXIT (SETQ |l| (CDR |l|))))))) (EXIT |mm|)))) (DEFUN |POLYCAT-;reducedSystem;MVR;21| (|m| |v| $) (LET* ((|l| (SPADCALL |m| (|shellEntry| $ 114))) (|r| (SPADCALL |v| (|shellEntry| $ 123))) (|b| (SPADCALL (SPADCALL (|POLYCAT-;allMonoms| |r| $) (SPADCALL (LET ((#0=#:G1688 |l|) (#1=#:G1687 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|s| (CAR #0#))) (SETQ #1# (CONS (|POLYCAT-;allMonoms| |s| $) #1#))))) (SETQ #0# (CDR #0#)))) (|shellEntry| $ 99)) (|shellEntry| $ 124)) (|shellEntry| $ 100))) (|d| (LET ((#2=#:G1690 |b|) (#3=#:G1689 NIL)) (LOOP (COND ((ATOM #2#) (RETURN (NREVERSE #3#))) (T (LET ((|bj| (CAR #2#))) (SETQ #3# (CONS (SPADCALL |bj| (|shellEntry| $ 75)) #3#))))) (SETQ #2# (CDR #2#))))) (|n| (LIST-LENGTH |d|)) (|mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $)) (|w| (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| $))) (SEQ (SETQ |l| (CDR |l|)) (SETQ |r| (CDR |r|)) (LOOP (COND ((NOT (NOT (NULL |l|))) (RETURN NIL)) (T (SEQ (SETQ |mm| (SPADCALL |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $) (|shellEntry| $ 119))) (SETQ |w| (SPADCALL |w| (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| $) (|shellEntry| $ 128))) (SETQ |l| (CDR |l|)) (EXIT (SETQ |r| (CDR |r|))))))) (EXIT (CONS |mm| |w|))))) (DEFUN |POLYCAT-;gcdPolynomial;3Sup;22| (|pp| |qq| $) (SPADCALL |pp| |qq| (|shellEntry| $ 133))) (DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| $) (SPADCALL |lpp| |pp| (|shellEntry| $ 138))) (DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| $) (SPADCALL |pp| (|shellEntry| $ 143))) (DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| $) (SPADCALL |pp| (|shellEntry| $ 146))) (DEFUN |POLYCAT-;factor;SF;26| (|p| $) (PROG (|ansR| |up| |ansSUP|) (RETURN (LET ((|v| (SPADCALL |p| (|shellEntry| $ 53)))) (COND ((EQL (CAR |v|) 1) (SEQ (LETT |ansR| (SPADCALL (SPADCALL |p| (|shellEntry| $ 48)) (|shellEntry| $ 149)) |POLYCAT-;factor;SF;26|) (EXIT (SPADCALL (SPADCALL (SPADCALL |ansR| (|shellEntry| $ 151)) (|shellEntry| $ 51)) (LET ((#0=#:G1692 (SPADCALL |ansR| (|shellEntry| $ 155))) (#1=#:G1691 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|w| (CAR #0#))) (SETQ #1# (CONS (VECTOR (SVREF |w| 0) (SPADCALL (SVREF |w| 1) (|shellEntry| $ 51)) (SVREF |w| 2)) #1#))))) (SETQ #0# (CDR #0#)))) (|shellEntry| $ 159))))) (T (SEQ (LETT |up| (SPADCALL |p| (CDR |v|) (|shellEntry| $ 59)) |POLYCAT-;factor;SF;26|) (LETT |ansSUP| (SPADCALL |up| (|shellEntry| $ 143)) |POLYCAT-;factor;SF;26|) (EXIT (SPADCALL (SPADCALL (SPADCALL |ansSUP| (|shellEntry| $ 160)) (CDR |v|) (|shellEntry| $ 161)) (LET ((#2=#:G1694 (SPADCALL |ansSUP| (|shellEntry| $ 164))) (#3=#:G1693 NIL)) (LOOP (COND ((ATOM #2#) (RETURN (NREVERSE #3#))) (T (LET ((|ww| (CAR #2#))) (SETQ #3# (CONS (VECTOR (SVREF |ww| 0) (SPADCALL (SVREF |ww| 1) (CDR |v|) (|shellEntry| $ 161)) (SVREF |ww| 2)) #3#))))) (SETQ #2# (CDR #2#)))) (|shellEntry| $ 159)))))))))) (DEFUN |POLYCAT-;conditionP;MU;27| (|mat| $) (PROG (|nd| |vars| |degs| |deg1| |mons| |redmons| |ans| |i|) (RETURN (LET* ((|ll| (SPADCALL (SPADCALL |mat| (|shellEntry| $ 166)) (|shellEntry| $ 114))) (|llR| (LET ((#0=#:G1706 (|SPADfirst| |ll|)) (#1=#:G1705 NIL)) (LOOP (COND ((ATOM #0#) (RETURN (NREVERSE #1#))) (T (LET ((|z| (CAR #0#))) (SETQ #1# (CONS NIL #1#))))) (SETQ #0# (CDR #0#))))) (|monslist| NIL) (|ch| (|spadConstant| $ 169))) (SEQ (LET ((#2=#:G1695 |ll|)) (LOOP (COND ((ATOM #2#) (RETURN NIL)) (T (LET ((|l| (CAR #2#))) (SEQ (LETT |mons| (LET ((#3=#:G1557 NIL) (#4=#:G1558 T) (#5=#:G1696 |l|)) (LOOP (COND ((ATOM #5#) (RETURN (COND (#4# (|IdentityError| '|setUnion|)) (T #3#)))) (T (LET ((|u| (CAR #5#))) (LET ((#6=#:G1556 (SPADCALL |u| (|shellEntry| $ 98)))) (COND (#4# (SETQ #3# #6#)) (T (SETQ #3# (SPADCALL #3# #6# (|shellEntry| $ 170))))) (SETQ #4# NIL))))) (SETQ #5# (CDR #5#)))) |POLYCAT-;conditionP;MU;27|) (LETT |redmons| NIL |POLYCAT-;conditionP;MU;27|) (LET ((#7=#:G1697 |mons|)) (LOOP (COND ((ATOM #7#) (RETURN NIL)) (T (LET ((|m| (CAR #7#))) (SEQ (LETT |vars| (SPADCALL |m| (|shellEntry| $ 40)) |POLYCAT-;conditionP;MU;27|) (LETT |degs| (SPADCALL |m| |vars| (|shellEntry| $ 171)) |POLYCAT-;conditionP;MU;27|) (LETT |deg1| (LET ((#8=#:G1699 |degs|) (#9=#:G1698 NIL)) (LOOP (COND ((ATOM #8#) (RETURN (NREVERSE #9#))) (T (LET ((|d| (CAR #8#))) (SETQ #9# (CONS (SEQ (LETT |nd| (SPADCALL |d| |ch| (|shellEntry| $ 173)) |POLYCAT-;conditionP;MU;27|) (EXIT (COND ((EQL (CAR |nd|) 1) (RETURN-FROM |POLYCAT-;conditionP;MU;27| (CONS 1 "failed"))) (T (LET ((#10=#:G1585 (CDR |nd|))) (|check-subtype| (NOT (MINUSP #10#)) '(|NonNegativeInteger|) #10#)))))) #9#))))) (SETQ #8# (CDR #8#)))) |POLYCAT-;conditionP;MU;27|) (SETQ |redmons| (CONS (SPADCALL (|spadConstant| $ 43) |vars| |deg1| (|shellEntry| $ 70)) |redmons|)) (EXIT (SETQ |llR| (LET ((#11=#:G1701 |l|) (#12=#:G1702 |llR|) (#13=#:G1700 NIL)) (LOOP (COND ((OR (ATOM #11#) (ATOM #12#)) (RETURN (NREVERSE #13#))) (T (LET ((|u| (CAR #11#)) (|v| (CAR #12#))) (SETQ #13# (CONS (CONS (SPADCALL (SPADCALL |u| |vars| |degs| (|shellEntry| $ 68)) (|shellEntry| $ 175)) |v|) #13#))))) (SETQ #11# (CDR #11#)) (SETQ #12# (CDR #12#)))))))))) (SETQ #7# (CDR #7#)))) (EXIT (SETQ |monslist| (CONS |redmons| |monslist|))))))) (SETQ #2# (CDR #2#)))) (LETT |ans| (SPADCALL (SPADCALL (SPADCALL |llR| (|shellEntry| $ 111)) (|shellEntry| $ 178)) (|shellEntry| $ 180)) |POLYCAT-;conditionP;MU;27|) (EXIT (COND ((EQL (CAR |ans|) 1) (CONS 1 "failed")) (T (SEQ (LETT |i| 0 |POLYCAT-;conditionP;MU;27|) (EXIT (CONS 0 (LET ((#14=#:G1587 (|makeSimpleArray| (|getVMType| (|shellEntry| $ 6)) (SIZE |monslist|)))) (LET ((#15=#:G1703 |monslist|) (#16=#:G1586 0)) (LOOP (COND ((ATOM #15#) (RETURN #14#)) (T (LET ((|mons| (CAR #15#))) (|setSimpleArrayEntry| #14# #16# (LET ((#17=#:G1579 NIL) (#18=#:G1580 T) (#19=#:G1704 |mons|)) (LOOP (COND ((ATOM #19#) (RETURN (COND (#18# (|spadConstant| $ 27)) (T #17#)))) (T (LET ((|m| (CAR #19#))) (LET ((#20=#:G1578 (SPADCALL |m| (SPADCALL (SPADCALL (CDR |ans|) (SETQ |i| (+ |i| 1)) (|shellEntry| $ 181)) (|shellEntry| $ 51)) (|shellEntry| $ 182)))) (COND (#18# (SETQ #17# #20#)) (T (SETQ #17# (SPADCALL #17# #20# (|shellEntry| $ 183))))) (SETQ #18# NIL))))) (SETQ #19# (CDR #19#)))))))) (SETQ #15# (CDR #15#)) (SETQ #16# (+ #16# 1)))))))))))))))) (DEFUN |POLYCAT-;charthRoot;SU;28| (|p| $) (PROG (|ans| |ch|) (RETURN (LET ((|vars| (SPADCALL |p| (|shellEntry| $ 40)))) (COND ((NULL |vars|) (SEQ (LETT |ans| (SPADCALL (SPADCALL |p| (|shellEntry| $ 175)) (|shellEntry| $ 185)) |POLYCAT-;charthRoot;SU;28|) (EXIT (COND ((EQL (CAR |ans|) 1) (CONS 1 "failed")) (T (CONS 0 (SPADCALL (CDR |ans|) (|shellEntry| $ 51)))))))) (T (SEQ (LETT |ch| (|spadConstant| $ 169) |POLYCAT-;charthRoot;SU;28|) (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch| $))))))))) (DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| $) (PROG (|d| |ans| |dd| |cp| |ansx|) (RETURN (COND ((NULL |vars|) (LET ((|ans| (SPADCALL (SPADCALL |p| (|shellEntry| $ 175)) (|shellEntry| $ 185)))) (COND ((EQL (CAR |ans|) 1) (CONS 1 "failed")) (T (CONS 0 (SPADCALL (CDR |ans|) (|shellEntry| $ 51))))))) (T (LET ((|v| (|SPADfirst| |vars|))) (SEQ (SETQ |vars| (CDR |vars|)) (LETT |d| (SPADCALL |p| |v| (|shellEntry| $ 46)) |POLYCAT-;charthRootlv|) (LETT |ans| (|spadConstant| $ 27) |POLYCAT-;charthRootlv|) (LOOP (COND ((NOT (PLUSP |d|)) (RETURN NIL)) (T (SEQ (LETT |dd| (SPADCALL |d| |ch| (|shellEntry| $ 173)) |POLYCAT-;charthRootlv|) (EXIT (COND ((EQL (CAR |dd|) 1) (RETURN-FROM |POLYCAT-;charthRootlv| (CONS 1 "failed"))) (T (SEQ (LETT |cp| (SPADCALL |p| |v| |d| (|shellEntry| $ 188)) |POLYCAT-;charthRootlv|) (SETQ |p| (SPADCALL |p| (SPADCALL |cp| |v| |d| (|shellEntry| $ 47)) (|shellEntry| $ 189))) (LETT |ansx| (|POLYCAT-;charthRootlv| |cp| |vars| |ch| $) |POLYCAT-;charthRootlv|) (EXIT (COND ((EQL (CAR |ansx|) 1) (RETURN-FROM |POLYCAT-;charthRootlv| (CONS 1 "failed"))) (T (SEQ (SETQ |d| (SPADCALL |p| |v| (|shellEntry| $ 46))) (EXIT (SETQ |ans| (SPADCALL |ans| (SPADCALL (CDR |ansx|) |v| (LET ((#0=#:G1615 (CDR |dd|))) (|check-subtype| (NOT (MINUSP #0#)) '(|NonNegativeInteger|) #0#)) (|shellEntry| $ 47)) (|shellEntry| $ 183)))))))))))))))) (LETT |ansx| (|POLYCAT-;charthRootlv| |p| |vars| |ch| $) |POLYCAT-;charthRootlv|) (EXIT (COND ((EQL (CAR |ansx|) 1) (RETURN-FROM |POLYCAT-;charthRootlv| (CONS 1 "failed"))) (T (RETURN-FROM |POLYCAT-;charthRootlv| (CONS 0 (SPADCALL |ans| (CDR |ansx|) (|shellEntry| $ 183)))))))))))))) (DEFUN |POLYCAT-;monicDivide;2SVarSetR;30| (|p1| |p2| |mvar| $) (LET ((|result| (SPADCALL (SPADCALL |p1| |mvar| (|shellEntry| $ 59)) (SPADCALL |p2| |mvar| (|shellEntry| $ 59)) (|shellEntry| $ 191)))) (CONS (SPADCALL (CAR |result|) |mvar| (|shellEntry| $ 161)) (SPADCALL (CDR |result|) |mvar| (|shellEntry| $ 161))))) (DEFUN |POLYCAT-;squareFree;SF;31| (|p| $) (SPADCALL |p| (|shellEntry| $ 194))) (DEFUN |POLYCAT-;squareFree;SF;32| (|p| $) (SPADCALL |p| (|shellEntry| $ 197))) (DEFUN |POLYCAT-;squareFree;SF;33| (|p| $) (SPADCALL |p| (|shellEntry| $ 197))) (DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| $) (PROG (|s|) (RETURN (SPADCALL (SPADCALL (LETT |s| (SPADCALL |p| (|shellEntry| $ 198)) |POLYCAT-;squareFreePart;2S;34|) (|shellEntry| $ 199)) (LET ((#0=#:G1628 NIL) (#1=#:G1629 T) (#2=#:G1707 (SPADCALL |s| (|shellEntry| $ 202)))) (LOOP (COND ((ATOM #2#) (RETURN (COND (#1# (|spadConstant| $ 43)) (T #0#)))) (T (LET ((|f| (CAR #2#))) (LET ((#3=#:G1627 (CAR |f|))) (COND (#1# (SETQ #0# #3#)) (T (SETQ #0# (SPADCALL #0# #3# (|shellEntry| $ 182))))) (SETQ #1# NIL))))) (SETQ #2# (CDR #2#)))) (|shellEntry| $ 182))))) (DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| $) (SPADCALL (SPADCALL |p| |v| (|shellEntry| $ 59)) (|shellEntry| $ 204))) (DEFUN |POLYCAT-;primitivePart;2S;36| (|p| $) (SVREF (SPADCALL (LET ((#0=#:G1633 (SPADCALL |p| (SPADCALL |p| (|shellEntry| $ 206)) (|shellEntry| $ 207)))) (|check-union| (ZEROP (CAR #0#)) (SVREF $ 6) #0#) (CDR #0#)) (|shellEntry| $ 209)) 1)) (DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| $) (SVREF (SPADCALL (LET ((#0=#:G1639 (SPADCALL |p| (SPADCALL |p| |v| (|shellEntry| $ 211)) (|shellEntry| $ 212)))) (|check-union| (ZEROP (CAR #0#)) (SVREF $ 6) #0#) (CDR #0#)) (|shellEntry| $ 209)) 1)) (DEFUN |POLYCAT-;before?;2SB;38| (|p| |q| $) (LET ((|dp| (SPADCALL |p| (|shellEntry| $ 75))) (|dq| (SPADCALL |q| (|shellEntry| $ 75)))) (COND ((SPADCALL |dp| |dq| (|shellEntry| $ 214)) (SPADCALL (|spadConstant| $ 28) (SPADCALL |q| (|shellEntry| $ 48)) (|shellEntry| $ 215))) ((SPADCALL |dq| |dp| (|shellEntry| $ 214)) (SPADCALL (SPADCALL |p| (|shellEntry| $ 48)) (|spadConstant| $ 28) (|shellEntry| $ 215))) (T (SPADCALL (SPADCALL (SPADCALL |p| |q| (|shellEntry| $ 189)) (|shellEntry| $ 48)) (|spadConstant| $ 28) (|shellEntry| $ 215)))))) (DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| $) (SPADCALL |p| |pat| |l| (|shellEntry| $ 220))) (DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| $) (SPADCALL |p| |pat| |l| (|shellEntry| $ 227))) (DEFUN |POLYCAT-;convert;SP;41| (|x| $) (SPADCALL (ELT $ 230) (ELT $ 231) |x| (|shellEntry| $ 235))) (DEFUN |POLYCAT-;convert;SP;42| (|x| $) (SPADCALL (ELT $ 237) (ELT $ 238) |x| (|shellEntry| $ 242))) (DEFUN |POLYCAT-;convert;SIf;43| (|p| $) (SPADCALL (ELT $ 245) (ELT $ 246) |p| (|shellEntry| $ 250))) (DEFUN |PolynomialCategory&| (|#1| |#2| |#3| |#4|) (LET* ((|dv$1| (|devaluate| |#1|)) (|dv$2| (|devaluate| |#2|)) (|dv$3| (|devaluate| |#3|)) (|dv$4| (|devaluate| |#4|)) (|dv$| (LIST '|PolynomialCategory&| |dv$1| |dv$2| |dv$3| |dv$4|)) ($ (|newShell| 259)) (|pv$| (|buildPredVector| 0 0 (LIST (|HasCategory| |#2| '(|PolynomialFactorizationExplicit|)) (|HasAttribute| |#2| '|canonicalUnitNormal|) (|HasCategory| |#2| '(|GcdDomain|)) (|HasCategory| |#2| '(|CommutativeRing|)) (|HasCategory| |#4| '(|PatternMatchable| (|Float|))) (|HasCategory| |#2| '(|PatternMatchable| (|Float|))) (|HasCategory| |#4| '(|PatternMatchable| (|Integer|))) (|HasCategory| |#2| '(|PatternMatchable| (|Integer|))) (|HasCategory| |#4| '(|ConvertibleTo| (|Pattern| (|Float|)))) (|HasCategory| |#2| '(|ConvertibleTo| (|Pattern| (|Float|)))) (|HasCategory| |#4| '(|ConvertibleTo| (|Pattern| (|Integer|)))) (|HasCategory| |#2| '(|ConvertibleTo| (|Pattern| (|Integer|)))) (|HasCategory| |#4| '(|ConvertibleTo| (|InputForm|))) (|HasCategory| |#2| '(|ConvertibleTo| (|InputForm|))))))) (SETF (|shellEntry| $ 0) |dv$|) (SETF (|shellEntry| $ 3) |pv$|) (|stuffDomainSlots| $) (SETF (|shellEntry| $ 6) |#1|) (SETF (|shellEntry| $ 7) |#2|) (SETF (|shellEntry| $ 8) |#3|) (SETF (|shellEntry| $ 9) |#4|) (COND ((|testBitVector| |pv$| 4) (PROGN (SETF (|shellEntry| $ 95) (CONS (|dispatchFunction| |POLYCAT-;resultant;2SVarSetS;15|) $)) (SETF (|shellEntry| $ 97) (CONS (|dispatchFunction| |POLYCAT-;discriminant;SVarSetS;16|) $))))) (COND ((|HasCategory| |#2| '(|IntegralDomain|)) (PROGN (SETF (|shellEntry| $ 121) (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MM;20|) $)) (SETF (|shellEntry| $ 131) (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MVR;21|) $))))) (COND ((|testBitVector| |pv$| 1) (PROGN (SETF (|shellEntry| $ 134) (CONS (|dispatchFunction| |POLYCAT-;gcdPolynomial;3Sup;22|) $)) (SETF (|shellEntry| $ 141) (CONS (|dispatchFunction| |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|) $)) (SETF (|shellEntry| $ 145) (CONS (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;24|) $)) (SETF (|shellEntry| $ 147) (CONS (|dispatchFunction| |POLYCAT-;factorSquareFreePolynomial;SupF;25|) $)) (SETF (|shellEntry| $ 165) (CONS (|dispatchFunction| |POLYCAT-;factor;SF;26|) $)) (COND ((|HasCategory| |#2| '(|CharacteristicNonZero|)) (PROGN (SETF (|shellEntry| $ 184) (CONS (|dispatchFunction| |POLYCAT-;conditionP;MU;27|) $)))))))) (COND ((|HasCategory| |#2| '(|CharacteristicNonZero|)) (PROGN (SETF (|shellEntry| $ 186) (CONS (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|) $))))) (COND ((|testBitVector| |pv$| 3) (PROGN (COND ((|HasCategory| |#2| '(|EuclideanDomain|)) (COND ((|HasCategory| |#2| '(|CharacteristicZero|)) (SETF (|shellEntry| $ 195) (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;31|) $))) (T (SETF (|shellEntry| $ 195) (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;32|) $))))) (T (SETF (|shellEntry| $ 195) (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;33|) $)))) (SETF (|shellEntry| $ 203) (CONS (|dispatchFunction| |POLYCAT-;squareFreePart;2S;34|) $)) (SETF (|shellEntry| $ 205) (CONS (|dispatchFunction| |POLYCAT-;content;SVarSetS;35|) $)) (SETF (|shellEntry| $ 210) (CONS (|dispatchFunction| |POLYCAT-;primitivePart;2S;36|) $)) (SETF (|shellEntry| $ 213) (CONS (|dispatchFunction| |POLYCAT-;primitivePart;SVarSetS;37|) $))))) (COND ((AND (|testBitVector| |pv$| 8) (|testBitVector| |pv$| 7)) (SETF (|shellEntry| $ 222) (CONS (|dispatchFunction| |POLYCAT-;patternMatch;SP2Pmr;39|) $)))) (COND ((AND (|testBitVector| |pv$| 6) (|testBitVector| |pv$| 5)) (SETF (|shellEntry| $ 229) (CONS (|dispatchFunction| |POLYCAT-;patternMatch;SP2Pmr;40|) $)))) (COND ((AND (|testBitVector| |pv$| 12) (|testBitVector| |pv$| 11)) (SETF (|shellEntry| $ 236) (CONS (|dispatchFunction| |POLYCAT-;convert;SP;41|) $)))) (COND ((AND (|testBitVector| |pv$| 10) (|testBitVector| |pv$| 9)) (SETF (|shellEntry| $ 243) (CONS (|dispatchFunction| |POLYCAT-;convert;SP;42|) $)))) (COND ((AND (|testBitVector| |pv$| 14) (|testBitVector| |pv$| 13)) (SETF (|shellEntry| $ 251) (CONS (|dispatchFunction| |POLYCAT-;convert;SIf;43|) $)))) $)) (MAKEPROP '|PolynomialCategory&| '|infovec| (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|local| |#3|) (|local| |#4|) (|Boolean|) (|Equation| 6) (|List| 11) (0 . |empty?|) (5 . |lhs|) (|Union| 9 '"failed") (10 . |retractIfCan|) (15 . |retract|) (20 . |rhs|) (|List| 9) (|List| $) (25 . |eval|) (|Equation| $) (|List| 22) |POLYCAT-;eval;SLS;1| (|List| 6) (32 . |empty|) (36 . |Zero|) (40 . |Zero|) (44 . ~=) (50 . |leadingMonomial|) (55 . |concat|) (61 . |reductum|) (66 . |reverse|) |POLYCAT-;monomials;SL;2| (71 . |monomials|) (76 . |rest|) (81 . |empty?|) (|Union| 20 '"failed") |POLYCAT-;isPlus;SU;3| (86 . |variables|) (91 . |empty?|) (96 . |monomial?|) (101 . |One|) (105 . |One|) (|NonNegativeInteger|) (109 . |degree|) (115 . |monomial|) (122 . |leadingCoefficient|) (127 . |one?|) (132 . |rest|) (137 . |coerce|) |POLYCAT-;isTimes;SU;4| (142 . |mainVariable|) (147 . =) (|Record| (|:| |var| 9) (|:| |exponent| 45)) (|Union| 55 '"failed") |POLYCAT-;isExpt;SU;5| (|SparseUnivariatePolynomial| $) (153 . |univariate|) (|SparseUnivariatePolynomial| 6) (159 . |coefficient|) |POLYCAT-;coefficient;SVarSetNniS;6| (|List| 45) (165 . |empty?|) (170 . |first|) (175 . |first|) (180 . |rest|) (185 . |coefficient|) |POLYCAT-;coefficient;SLLS;7| (192 . |monomial|) |POLYCAT-;monomial;SLLS;8| (199 . |coerce|) |POLYCAT-;retract;SVarSet;9| |POLYCAT-;retractIfCan;SU;10| (204 . |degree|) (209 . |monomial|) |POLYCAT-;primitiveMonomials;SL;12| (215 . |ground?|) (220 . |Zero|) (224 . |Zero|) (228 . ~=) (234 . |degree|) (239 . |leadingCoefficient|) (244 . |totalDegree|) (249 . +) (255 . |max|) (261 . |reductum|) |POLYCAT-;totalDegree;SNni;13| (266 . |member?|) (272 . |One|) (276 . *) (282 . |totalDegree|) |POLYCAT-;totalDegree;SLNni;14| (288 . |resultant|) (294 . |resultant|) (301 . |discriminant|) (306 . |discriminant|) (312 . |primitiveMonomials|) (317 . |concat|) (322 . |removeDuplicates!|) (|Vector| 7) (327 . |new|) (|Integer|) (333 . |minIndex|) (338 . |maxIndex|) (343 . |coefficient|) (349 . |qsetelt!|) (|List| 7) (|List| 108) (|Matrix| 7) (356 . |matrix|) (|List| 25) (|Matrix| 6) (361 . |listOfLists|) (366 . |first|) (371 . |rest|) (376 . |empty?|) (381 . |not|) (386 . |vertConcat|) (|Matrix| $) (392 . |reducedSystem|) (|Vector| 6) (397 . |entries|) (402 . |concat|) (|List| 8) (408 . |#|) (413 . |first|) (418 . |concat|) (|Record| (|:| |mat| 110) (|:| |vec| 101)) (|Vector| $) (424 . |reducedSystem|) (|GeneralPolynomialGcdPackage| 8 9 7 6) (430 . |gcdPolynomial|) (436 . |gcdPolynomial|) (|List| 60) (|Union| 135 '"failed") (|PolynomialFactorizationByRecursion| 7 8 9 6) (442 . |solveLinearPolynomialEquationByRecursion|) (|List| 58) (|Union| 139 '"failed") (448 . |solveLinearPolynomialEquation|) (|Factored| 60) (454 . |factorByRecursion|) (|Factored| 58) (459 . |factorPolynomial|) (464 . |factorSquareFreeByRecursion|) (469 . |factorSquareFreePolynomial|) (|Factored| $) (474 . |factor|) (|Factored| 7) (479 . |unit|) (|Union| '"nil" '"sqfr" '"irred" '"prime") (|Record| (|:| |flg| 152) (|:| |fctr| 7) (|:| |xpnt| 103)) (|List| 153) (484 . |factorList|) (|Record| (|:| |flg| 152) (|:| |fctr| 6) (|:| |xpnt| 103)) (|List| 156) (|Factored| 6) (489 . |makeFR|) (495 . |unit|) (500 . |multivariate|) (|Record| (|:| |flg| 152) (|:| |fctr| 60) (|:| |xpnt| 103)) (|List| 162) (506 . |factorList|) (511 . |factor|) (516 . |transpose|) (521 . |empty|) (525 . |empty|) (529 . |characteristic|) (533 . |setUnion|) (539 . |degree|) (|Union| $ '"failed") (545 . |exquo|) (551 . |cons|) (557 . |ground|) (562 . |cons|) (568 . |cons|) (574 . |transpose|) (|Union| 130 '"failed") (579 . |conditionP|) (584 . |elt|) (590 . *) (596 . +) (602 . |conditionP|) (607 . |charthRoot|) (612 . |charthRoot|) (617 . >) (623 . |coefficient|) (630 . -) (|Record| (|:| |quotient| $) (|:| |remainder| $)) (636 . |monicDivide|) |POLYCAT-;monicDivide;2SVarSetR;30| (|MultivariateSquareFree| 8 9 7 6) (642 . |squareFree|) (647 . |squareFree|) (|PolynomialSquareFree| 9 8 7 6) (652 . |squareFree|) (657 . |squareFree|) (662 . |unit|) (|Record| (|:| |factor| 6) (|:| |exponent| 103)) (|List| 200) (667 . |factors|) (672 . |squareFreePart|) (677 . |content|) (682 . |content|) (688 . |content|) (693 . |exquo|) (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) (699 . |unitNormal|) (704 . |primitivePart|) (709 . |content|) (715 . |exquo|) (721 . |primitivePart|) (727 . <) (733 . |before?|) |POLYCAT-;before?;2SB;38| (|PatternMatchResult| 103 6) (|Pattern| 103) (|PatternMatchPolynomialCategory| 103 8 9 7 6) (739 . |patternMatch|) (|PatternMatchResult| 103 $) (746 . |patternMatch|) (|Float|) (|PatternMatchResult| 223 6) (|Pattern| 223) (|PatternMatchPolynomialCategory| 223 8 9 7 6) (753 . |patternMatch|) (|PatternMatchResult| 223 $) (760 . |patternMatch|) (767 . |convert|) (772 . |convert|) (|Mapping| 218 9) (|Mapping| 218 7) (|PolynomialCategoryLifting| 8 9 7 6 218) (777 . |map|) (784 . |convert|) (789 . |convert|) (794 . |convert|) (|Mapping| 225 9) (|Mapping| 225 7) (|PolynomialCategoryLifting| 8 9 7 6 225) (799 . |map|) (806 . |convert|) (|InputForm|) (811 . |convert|) (816 . |convert|) (|Mapping| 244 9) (|Mapping| 244 7) (|PolynomialCategoryLifting| 8 9 7 6 244) (821 . |map|) (828 . |convert|) (|Matrix| 103) (|Vector| 103) (|Record| (|:| |mat| 252) (|:| |vec| 253)) (|Union| 103 '"failed") (|Fraction| 103) (|Union| 256 '"failed") (|Union| 7 '"failed")) '#(|totalDegree| 833 |squareFreePart| 844 |squareFree| 849 |solveLinearPolynomialEquation| 854 |retractIfCan| 860 |retract| 865 |resultant| 870 |reducedSystem| 877 |primitivePart| 888 |primitiveMonomials| 899 |patternMatch| 904 |monomials| 918 |monomial| 923 |monicDivide| 930 |isTimes| 937 |isPlus| 942 |isExpt| 947 |gcdPolynomial| 952 |factorSquareFreePolynomial| 958 |factorPolynomial| 963 |factor| 968 |eval| 973 |discriminant| 979 |convert| 985 |content| 1000 |conditionP| 1006 |coefficient| 1011 |charthRoot| 1025 |before?| 1030) 'NIL (CONS (|makeByteWordVec2| 1 'NIL) (CONS '#() (CONS '#() (|makeByteWordVec2| 251 '(1 12 10 0 13 1 11 6 0 14 1 6 15 0 16 1 6 9 0 17 1 11 6 0 18 3 6 0 0 19 20 21 0 25 0 26 0 6 0 27 0 7 0 28 2 6 10 0 0 29 1 6 0 0 30 2 25 0 6 0 31 1 6 0 0 32 1 25 0 0 33 1 6 20 0 35 1 25 0 0 36 1 25 10 0 37 1 6 19 0 40 1 19 10 0 41 1 6 10 0 42 0 6 0 43 0 7 0 44 2 6 45 0 9 46 3 6 0 0 9 45 47 1 6 7 0 48 1 7 10 0 49 1 19 0 0 50 1 6 0 7 51 1 6 15 0 53 2 6 10 0 0 54 2 6 58 0 9 59 2 60 6 0 45 61 1 63 10 0 64 1 19 9 0 65 1 63 45 0 66 1 63 0 0 67 3 6 0 0 19 63 68 3 6 0 0 19 63 70 1 6 0 9 72 1 6 8 0 75 2 6 0 7 8 76 1 6 10 0 78 0 45 0 79 0 60 0 80 2 60 10 0 0 81 1 60 45 0 82 1 60 6 0 83 1 6 45 0 84 2 45 0 0 0 85 2 45 0 0 0 86 1 60 0 0 87 2 19 10 9 0 89 0 45 0 90 2 45 0 45 0 91 2 6 45 0 19 92 2 60 6 0 0 94 3 0 0 0 0 9 95 1 60 6 0 96 2 0 0 0 9 97 1 6 20 0 98 1 25 0 20 99 1 25 0 0 100 2 101 0 45 7 102 1 101 103 0 104 1 101 103 0 105 2 6 7 0 8 106 3 101 7 0 103 7 107 1 110 0 109 111 1 113 112 0 114 1 112 25 0 115 1 112 0 0 116 1 112 10 0 117 1 10 0 0 118 2 110 0 0 0 119 1 0 110 120 121 1 122 25 0 123 2 25 0 0 0 124 1 125 45 0 126 1 25 6 0 127 2 101 0 0 0 128 2 0 129 120 130 131 2 132 60 60 60 133 2 0 58 58 58 134 2 137 136 135 60 138 2 0 140 139 58 141 1 137 142 60 143 1 0 144 58 145 1 137 142 60 146 1 0 144 58 147 1 7 148 0 149 1 150 7 0 151 1 150 154 0 155 2 158 0 6 157 159 1 142 60 0 160 2 6 0 58 9 161 1 142 163 0 164 1 0 148 0 165 1 113 0 0 166 0 108 0 167 0 112 0 168 0 6 45 169 2 25 0 0 0 170 2 6 63 0 19 171 2 103 172 0 0 173 2 25 0 6 0 174 1 6 7 0 175 2 108 0 7 0 176 2 112 0 25 0 177 1 110 0 0 178 1 7 179 120 180 2 101 7 0 103 181 2 6 0 0 0 182 2 6 0 0 0 183 1 0 179 120 184 1 7 172 0 185 1 0 172 0 186 2 45 10 0 0 187 3 6 0 0 9 45 188 2 6 0 0 0 189 2 60 190 0 0 191 1 193 158 6 194 1 0 148 0 195 1 196 158 6 197 1 6 148 0 198 1 158 6 0 199 1 158 201 0 202 1 0 0 0 203 1 60 6 0 204 2 0 0 0 9 205 1 6 7 0 206 2 6 172 0 7 207 1 6 208 0 209 1 0 0 0 210 2 6 0 0 9 211 2 6 172 0 0 212 2 0 0 0 9 213 2 8 10 0 0 214 2 7 10 0 0 215 3 219 217 6 218 217 220 3 0 221 0 218 221 222 3 226 224 6 225 224 227 3 0 228 0 225 228 229 1 9 218 0 230 1 7 218 0 231 3 234 218 232 233 6 235 1 0 218 0 236 1 9 225 0 237 1 7 225 0 238 3 241 225 239 240 6 242 1 0 225 0 243 1 9 244 0 245 1 7 244 0 246 3 249 244 247 248 6 250 1 0 244 0 251 2 0 45 0 19 93 1 0 45 0 88 1 0 0 0 203 1 0 148 0 195 2 0 140 139 58 141 1 0 15 0 74 1 0 9 0 73 3 0 0 0 0 9 95 2 0 129 120 130 131 1 0 110 120 121 2 0 0 0 9 213 1 0 0 0 210 1 0 20 0 77 3 0 228 0 225 228 229 3 0 221 0 218 221 222 1 0 20 0 34 3 0 0 0 19 63 71 3 0 190 0 0 9 192 1 0 38 0 52 1 0 38 0 39 1 0 56 0 57 2 0 58 58 58 134 1 0 144 58 147 1 0 144 58 145 1 0 148 0 165 2 0 0 0 23 24 2 0 0 0 9 97 1 0 218 0 236 1 0 244 0 251 1 0 225 0 243 2 0 0 0 9 205 1 0 179 120 184 3 0 0 0 9 45 62 3 0 0 0 19 63 69 1 0 172 0 186 2 0 10 0 0 216))))) '|lookupComplete|))