
(SDEFUN |POLYCAT-;eval;SLS;1| ((|p| (S)) (|l| (|List| (|Equation| S))) (% (S)))
        (SPROG
         ((#1=#:G73 NIL) (|e| NIL) (#2=#:G72 NIL) (|lvar| (|List| |VarSet|))
          (#3=#:G71 NIL) (#4=#:G70 NIL) (#5=#:G68 NIL) (#6=#:G69 NIL))
         (SEQ
          (COND ((NULL |l|) |p|)
                ('T
                 (SEQ
                  (SEQ
                   (EXIT
                    (SEQ (LETT |e| NIL) (LETT #6# |l|) G190
                         (COND
                          ((OR (ATOM #6#) (PROGN (LETT |e| (CAR #6#)) NIL))
                           (GO G191)))
                         (SEQ
                          (EXIT
                           (COND
                            ((QEQCAR
                              (SPADCALL (SPADCALL |e| (QREFELT % 11))
                                        (QREFELT % 13))
                              1)
                             (PROGN
                              (LETT #5#
                                    (|error|
                                     "cannot find a variable to evaluate"))
                              (GO #7=#:G60))))))
                         (LETT #6# (CDR #6#)) (GO G190) G191 (EXIT NIL)))
                   #7# (EXIT #5#))
                  (LETT |lvar|
                        (PROGN
                         (LETT #4# NIL)
                         (SEQ (LETT |e| NIL) (LETT #3# |l|) G190
                              (COND
                               ((OR (ATOM #3#)
                                    (PROGN (LETT |e| (CAR #3#)) NIL))
                                (GO G191)))
                              (SEQ
                               (EXIT
                                (LETT #4#
                                      (CONS
                                       (SPADCALL (SPADCALL |e| (QREFELT % 11))
                                                 (QREFELT % 14))
                                       #4#))))
                              (LETT #3# (CDR #3#)) (GO G190) G191
                              (EXIT (NREVERSE #4#)))))
                  (EXIT
                   (SPADCALL |p| |lvar|
                             (PROGN
                              (LETT #2# NIL)
                              (SEQ (LETT |e| NIL) (LETT #1# |l|) G190
                                   (COND
                                    ((OR (ATOM #1#)
                                         (PROGN (LETT |e| (CAR #1#)) NIL))
                                     (GO G191)))
                                   (SEQ
                                    (EXIT
                                     (LETT #2#
                                           (CONS (SPADCALL |e| (QREFELT % 15))
                                                 #2#))))
                                   (LETT #1# (CDR #1#)) (GO G190) G191
                                   (EXIT (NREVERSE #2#))))
                             (QREFELT % 18))))))))) 

(SDEFUN |POLYCAT-;isPlus;SU;2| ((|p| (S)) (% (|Union| (|List| S) "failed")))
        (SPROG ((|l| (|List| S)))
               (COND
                ((NULL (CDR (LETT |l| (SPADCALL |p| (QREFELT % 21)))))
                 (CONS 1 "failed"))
                ('T (CONS 0 |l|))))) 

(SDEFUN |POLYCAT-;isTimes;SU;3| ((|p| (S)) (% (|Union| (|List| S) "failed")))
        (SPROG
         ((|r| (R)) (|l| (|List| S)) (#1=#:G93 NIL) (|v| NIL) (#2=#:G92 NIL)
          (|lv| (|List| |VarSet|)))
         (SEQ
          (COND
           ((OR (NULL (LETT |lv| (SPADCALL |p| (QREFELT % 24))))
                (NULL (SPADCALL |p| (QREFELT % 26))))
            (CONS 1 "failed"))
           ('T
            (SEQ
             (LETT |l|
                   (PROGN
                    (LETT #2# NIL)
                    (SEQ (LETT |v| NIL) (LETT #1# |lv|) G190
                         (COND
                          ((OR (ATOM #1#) (PROGN (LETT |v| (CAR #1#)) NIL))
                           (GO G191)))
                         (SEQ
                          (EXIT
                           (LETT #2#
                                 (CONS
                                  (SPADCALL (|spadConstant| % 27) |v|
                                            (SPADCALL |p| |v| (QREFELT % 31))
                                            (QREFELT % 32))
                                  #2#))))
                         (LETT #1# (CDR #1#)) (GO G190) G191
                         (EXIT (NREVERSE #2#)))))
             (LETT |r| (SPADCALL |p| (QREFELT % 33)))
             (EXIT
              (COND
               ((SPADCALL |r| (|spadConstant| % 34) (QREFELT % 35))
                (COND ((NULL (CDR |lv|)) (CONS 1 "failed"))
                      (#3='T (CONS 0 |l|))))
               (#3# (CONS 0 (CONS (SPADCALL |r| (QREFELT % 36)) |l|))))))))))) 

(SDEFUN |POLYCAT-;isExpt;SU;4|
        ((|p| (S))
         (%
          (|Union|
           (|Record| (|:| |var| |VarSet|)
                     (|:| |exponent| (|NonNegativeInteger|)))
           "failed")))
        (SPROG ((|d| (|NonNegativeInteger|)) (|u| (|Union| |VarSet| "failed")))
               (SEQ (LETT |u| (SPADCALL |p| (QREFELT % 38)))
                    (EXIT
                     (COND
                      ((OR (QEQCAR |u| 1)
                           (NULL
                            (SPADCALL |p|
                                      (SPADCALL (|spadConstant| % 27)
                                                (QCDR |u|)
                                                (LETT |d|
                                                      (SPADCALL |p| (QCDR |u|)
                                                                (QREFELT %
                                                                         31)))
                                                (QREFELT % 32))
                                      (QREFELT % 39))))
                       (CONS 1 "failed"))
                      ('T (CONS 0 (CONS (QCDR |u|) |d|)))))))) 

(SDEFUN |POLYCAT-;coefficient;SVarSetNniS;5|
        ((|p| (S)) (|v| (|VarSet|)) (|n| (|NonNegativeInteger|)) (% (S)))
        (SPADCALL (SPADCALL |p| |v| (QREFELT % 44)) |n| (QREFELT % 46))) 

(SDEFUN |POLYCAT-;coefficient;SLLS;6|
        ((|p| (S)) (|lv| (|List| |VarSet|))
         (|ln| (|List| (|NonNegativeInteger|))) (% (S)))
        (COND
         ((NULL |lv|)
          (COND ((NULL |ln|) |p|)
                (#1='T (|error| "mismatched lists in coefficient"))))
         ((NULL |ln|) (|error| "mismatched lists in coefficient"))
         (#1#
          (SPADCALL
           (SPADCALL (SPADCALL |p| (|SPADfirst| |lv|) (QREFELT % 44))
                     (|SPADfirst| |ln|) (QREFELT % 46))
           (CDR |lv|) (CDR |ln|) (QREFELT % 49))))) 

(SDEFUN |POLYCAT-;retract;SVarSet;7| ((|p| (S)) (% (|VarSet|)))
        (SPROG ((|q| (|VarSet|)) (#1=#:G114 NIL))
               (SEQ
                (LETT |q|
                      (PROG2 (LETT #1# (SPADCALL |p| (QREFELT % 38)))
                          (QCDR #1#)
                        (|check_union2| (QEQCAR #1# 0) (QREFELT % 9)
                                        (|Union| (QREFELT % 9) "failed") #1#)))
                (EXIT
                 (COND
                  ((SPADCALL (SPADCALL |q| (QREFELT % 51)) |p| (QREFELT % 39))
                   |q|)
                  ('T (|error| "Polynomial is not a single variable"))))))) 

(SDEFUN |POLYCAT-;retractIfCan;SU;8|
        ((|p| (S)) (% (|Union| |VarSet| "failed")))
        (SPROG ((#1=#:G125 NIL) (|q| (|Union| |VarSet| "failed")))
               (SEQ
                (EXIT
                 (SEQ
                  (SEQ (LETT |q| (SPADCALL |p| (QREFELT % 38)))
                       (EXIT
                        (COND
                         ((QEQCAR |q| 0)
                          (COND
                           ((SPADCALL (SPADCALL (QCDR |q|) (QREFELT % 51)) |p|
                                      (QREFELT % 39))
                            (PROGN (LETT #1# |q|) (GO #2=#:G123))))))))
                  (EXIT (CONS 1 "failed"))))
                #2# (EXIT #1#)))) 

(SDEFUN |POLYCAT-;totalDegree;SNni;9| ((|p| (S)) (% (|NonNegativeInteger|)))
        (SPROG
         ((|u| (|SparseUnivariatePolynomial| S)) (|d| (|NonNegativeInteger|))
          (#1=#:G127 NIL))
         (SEQ
          (COND ((SPADCALL |p| (QREFELT % 54)) 0)
                ('T
                 (SEQ
                  (LETT |u|
                        (SPADCALL |p|
                                  (PROG2
                                      (LETT #1# (SPADCALL |p| (QREFELT % 38)))
                                      (QCDR #1#)
                                    (|check_union2| (QEQCAR #1# 0)
                                                    (QREFELT % 9)
                                                    (|Union| (QREFELT % 9)
                                                             "failed")
                                                    #1#))
                                  (QREFELT % 44)))
                  (LETT |d| 0)
                  (SEQ G190
                       (COND
                        ((NULL
                          (SPADCALL |u| (|spadConstant| % 57) (QREFELT % 58)))
                         (GO G191)))
                       (SEQ
                        (LETT |d|
                              (MAX |d|
                                   (+ (SPADCALL |u| (QREFELT % 59))
                                      (SPADCALL (SPADCALL |u| (QREFELT % 60))
                                                (QREFELT % 61)))))
                        (EXIT (LETT |u| (SPADCALL |u| (QREFELT % 62)))))
                       NIL (GO G190) G191 (EXIT NIL))
                  (EXIT |d|))))))) 

(SDEFUN |POLYCAT-;totalDegreeSorted;SLNni;10|
        ((|p| (S)) (|lv| (|List| |VarSet|)) (% (|NonNegativeInteger|)))
        (SPROG
         ((|u| (|SparseUnivariatePolynomial| S))
          (|d| #1=(|NonNegativeInteger|)) (|w| #1#) (|v0| (|VarSet|))
          (#2=#:G153 NIL) (|v| (|VarSet|)) (#3=#:G140 NIL))
         (SEQ
          (EXIT
           (COND ((OR (SPADCALL |p| (QREFELT % 54)) (NULL |lv|)) 0)
                 ('T
                  (SEQ
                   (LETT |u|
                         (SPADCALL |p|
                                   (LETT |v|
                                         (PROG2
                                             (LETT #3#
                                                   (SPADCALL |p|
                                                             (QREFELT % 38)))
                                             (QCDR #3#)
                                           (|check_union2| (QEQCAR #3# 0)
                                                           (QREFELT % 9)
                                                           (|Union|
                                                            (QREFELT % 9)
                                                            "failed")
                                                           #3#)))
                                   (QREFELT % 44)))
                   (LETT |d| 0) (LETT |w| 0) (LETT |v0| (|SPADfirst| |lv|))
                   (SEQ G190
                        (COND
                         ((NULL (SPADCALL |v| |v0| (QREFELT % 64))) (GO G191)))
                        (SEQ (LETT |lv| (CDR |lv|))
                             (EXIT
                              (COND
                               ((NULL |lv|)
                                (PROGN (LETT #2# 0) (GO #4=#:G152)))
                               ('T (LETT |v0| (|SPADfirst| |lv|))))))
                        NIL (GO G190) G191 (EXIT NIL))
                   (COND
                    ((SPADCALL |v0| |v| (QREFELT % 65))
                     (SEQ (LETT |w| 1) (EXIT (LETT |lv| (CDR |lv|))))))
                   (SEQ G190
                        (COND
                         ((NULL
                           (SPADCALL |u| (|spadConstant| % 57) (QREFELT % 58)))
                          (GO G191)))
                        (SEQ
                         (LETT |d|
                               (MAX |d|
                                    (+ (* |w| (SPADCALL |u| (QREFELT % 59)))
                                       (SPADCALL (SPADCALL |u| (QREFELT % 60))
                                                 |lv| (QREFELT % 66)))))
                         (EXIT (LETT |u| (SPADCALL |u| (QREFELT % 62)))))
                        NIL (GO G190) G191 (EXIT NIL))
                   (EXIT |d|)))))
          #4# (EXIT #2#)))) 

(SDEFUN |POLYCAT-;totalDegree;SLNni;11|
        ((|p| (S)) (|lv| (|List| |VarSet|)) (% (|NonNegativeInteger|)))
        (SPROG ((|lv1| (|List| |VarSet|)))
               (SEQ
                (LETT |lv1|
                      (SPADCALL (CONS #'|POLYCAT-;totalDegree;SLNni;11!0| %)
                                |lv| (QREFELT % 69)))
                (EXIT (SPADCALL |p| |lv1| (QREFELT % 66)))))) 

(SDEFUN |POLYCAT-;totalDegree;SLNni;11!0| ((|v1| NIL) (|v2| NIL) (% NIL))
        (SPADCALL |v2| |v1| (QREFELT % 64))) 

(SDEFUN |POLYCAT-;resultant;2SVarSetS;12|
        ((|p1| (S)) (|p2| (S)) (|mvar| (|VarSet|)) (% (S)))
        (SPADCALL (SPADCALL |p1| |mvar| (QREFELT % 44))
                  (SPADCALL |p2| |mvar| (QREFELT % 44)) (QREFELT % 71))) 

(SDEFUN |POLYCAT-;discriminant;SVarSetS;13|
        ((|p| (S)) (|var| (|VarSet|)) (% (S)))
        (SPADCALL (SPADCALL |p| |var| (QREFELT % 44)) (QREFELT % 73))) 

(SDEFUN |POLYCAT-;allMonoms| ((|l| (|List| S)) (% (|List| S)))
        (SPROG ((#1=#:G173 NIL) (|p| NIL) (#2=#:G172 NIL))
               (SEQ
                (SPADCALL
                 (SPADCALL
                  (PROGN
                   (LETT #2# NIL)
                   (SEQ (LETT |p| NIL) (LETT #1# |l|) G190
                        (COND
                         ((OR (ATOM #1#) (PROGN (LETT |p| (CAR #1#)) NIL))
                          (GO G191)))
                        (SEQ
                         (EXIT
                          (LETT #2# (CONS (SPADCALL |p| (QREFELT % 75)) #2#))))
                        (LETT #1# (CDR #1#)) (GO G190) G191
                        (EXIT (NREVERSE #2#))))
                  (QREFELT % 77))
                 (QREFELT % 78))))) 

(SDEFUN |POLYCAT-;P2R|
        ((|p| (S)) (|b| (|List| E)) (|n| (|NonNegativeInteger|))
         (% (|Vector| R)))
        (SPROG
         ((#1=#:G180 NIL) (|i| NIL) (#2=#:G181 NIL) (|bj| NIL)
          (|w| (|Vector| R)))
         (SEQ (LETT |w| (MAKEARR1 |n| (|spadConstant| % 56)))
              (SEQ (LETT |bj| NIL) (LETT #2# |b|)
                   (LETT |i| (SPADCALL |w| (QREFELT % 81)))
                   (LETT #1# (QVSIZE |w|)) G190
                   (COND
                    ((OR (> |i| #1#) (ATOM #2#)
                         (PROGN (LETT |bj| (CAR #2#)) NIL))
                     (GO G191)))
                   (SEQ
                    (EXIT
                     (QSETAREF1O |w| |i| (SPADCALL |p| |bj| (QREFELT % 82))
                                 1)))
                   (LETT |i| (PROG1 (+ |i| 1) (LETT #2# (CDR #2#)))) (GO G190)
                   G191 (EXIT NIL))
              (EXIT |w|)))) 

(SDEFUN |POLYCAT-;eq2R| ((|l| (|List| S)) (|b| (|List| E)) (% (|Matrix| R)))
        (SPROG
         ((#1=#:G191 NIL) (|p| NIL) (#2=#:G190 NIL) (#3=#:G189 NIL) (|bj| NIL)
          (#4=#:G188 NIL))
         (SEQ
          (SPADCALL
           (PROGN
            (LETT #4# NIL)
            (SEQ (LETT |bj| NIL) (LETT #3# |b|) G190
                 (COND
                  ((OR (ATOM #3#) (PROGN (LETT |bj| (CAR #3#)) NIL))
                   (GO G191)))
                 (SEQ
                  (EXIT
                   (LETT #4#
                         (CONS
                          (PROGN
                           (LETT #2# NIL)
                           (SEQ (LETT |p| NIL) (LETT #1# |l|) G190
                                (COND
                                 ((OR (ATOM #1#)
                                      (PROGN (LETT |p| (CAR #1#)) NIL))
                                  (GO G191)))
                                (SEQ
                                 (EXIT
                                  (LETT #2#
                                        (CONS
                                         (SPADCALL |p| |bj| (QREFELT % 82))
                                         #2#))))
                                (LETT #1# (CDR #1#)) (GO G190) G191
                                (EXIT (NREVERSE #2#))))
                          #4#))))
                 (LETT #3# (CDR #3#)) (GO G190) G191 (EXIT (NREVERSE #4#))))
           (QREFELT % 85))))) 

(SDEFUN |POLYCAT-;reducedSystem;MM;17| ((|m| (|Matrix| S)) (% (|Matrix| R)))
        (SPROG
         ((|l| (|List| (|List| S))) (|mm| (|Matrix| R)) (|d| (|List| E))
          (#1=#:G210 NIL) (|bj| NIL) (#2=#:G209 NIL) (|b| (|List| S))
          (#3=#:G208 NIL) (|r| NIL) (#4=#:G207 NIL))
         (SEQ (LETT |l| (SPADCALL |m| (QREFELT % 88)))
              (LETT |b|
                    (SPADCALL
                     (SPADCALL
                      (PROGN
                       (LETT #4# NIL)
                       (SEQ (LETT |r| NIL) (LETT #3# |l|) G190
                            (COND
                             ((OR (ATOM #3#) (PROGN (LETT |r| (CAR #3#)) NIL))
                              (GO G191)))
                            (SEQ
                             (EXIT
                              (LETT #4#
                                    (CONS (|POLYCAT-;allMonoms| |r| %) #4#))))
                            (LETT #3# (CDR #3#)) (GO G190) G191
                            (EXIT (NREVERSE #4#))))
                      (QREFELT % 77))
                     (QREFELT % 78)))
              (EXIT
               (COND
                ((NULL |b|)
                 (MAKE_MATRIX1 0 (ANCOLS |m|) (|spadConstant| % 56)))
                ('T
                 (SEQ
                  (LETT |d|
                        (PROGN
                         (LETT #2# NIL)
                         (SEQ (LETT |bj| NIL) (LETT #1# |b|) G190
                              (COND
                               ((OR (ATOM #1#)
                                    (PROGN (LETT |bj| (CAR #1#)) NIL))
                                (GO G191)))
                              (SEQ
                               (EXIT
                                (LETT #2#
                                      (CONS (SPADCALL |bj| (QREFELT % 89))
                                            #2#))))
                              (LETT #1# (CDR #1#)) (GO G190) G191
                              (EXIT (NREVERSE #2#)))))
                  (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| %))
                  (LETT |l| (CDR |l|))
                  (SEQ G190 (COND ((NULL (NULL (NULL |l|))) (GO G191)))
                       (SEQ
                        (LETT |mm|
                              (SPADCALL |mm|
                                        (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
                                         %)
                                        (QREFELT % 90)))
                        (EXIT (LETT |l| (CDR |l|))))
                       NIL (GO G190) G191 (EXIT NIL))
                  (EXIT |mm|)))))))) 

(SDEFUN |POLYCAT-;reducedSystem;MVR;18|
        ((|m| (|Matrix| S)) (|v| (|Vector| S))
         (% (|Record| (|:| |mat| (|Matrix| R)) (|:| |vec| (|Vector| R)))))
        (SPROG
         ((|r| (|List| S)) (|l| (|List| (|List| S))) (|w| (|Vector| R))
          (|mm| (|Matrix| R)) (|n| (|NonNegativeInteger|)) (|d| (|List| E))
          (#1=#:G231 NIL) (|bj| NIL) (#2=#:G230 NIL) (|b| (|List| S))
          (#3=#:G229 NIL) (|s| NIL) (#4=#:G228 NIL))
         (SEQ (LETT |l| (SPADCALL |m| (QREFELT % 88)))
              (LETT |r| (SPADCALL |v| (QREFELT % 94)))
              (LETT |b|
                    (SPADCALL
                     (SPADCALL (|POLYCAT-;allMonoms| |r| %)
                               (SPADCALL
                                (PROGN
                                 (LETT #4# NIL)
                                 (SEQ (LETT |s| NIL) (LETT #3# |l|) G190
                                      (COND
                                       ((OR (ATOM #3#)
                                            (PROGN (LETT |s| (CAR #3#)) NIL))
                                        (GO G191)))
                                      (SEQ
                                       (EXIT
                                        (LETT #4#
                                              (CONS
                                               (|POLYCAT-;allMonoms| |s| %)
                                               #4#))))
                                      (LETT #3# (CDR #3#)) (GO G190) G191
                                      (EXIT (NREVERSE #4#))))
                                (QREFELT % 77))
                               (QREFELT % 95))
                     (QREFELT % 78)))
              (EXIT
               (COND
                ((NULL |b|)
                 (CONS (MAKE_MATRIX1 0 (ANCOLS |m|) (|spadConstant| % 56))
                       (MAKEARR1 0 (|spadConstant| % 56))))
                ('T
                 (SEQ
                  (LETT |d|
                        (PROGN
                         (LETT #2# NIL)
                         (SEQ (LETT |bj| NIL) (LETT #1# |b|) G190
                              (COND
                               ((OR (ATOM #1#)
                                    (PROGN (LETT |bj| (CAR #1#)) NIL))
                                (GO G191)))
                              (SEQ
                               (EXIT
                                (LETT #2#
                                      (CONS (SPADCALL |bj| (QREFELT % 89))
                                            #2#))))
                              (LETT #1# (CDR #1#)) (GO G190) G191
                              (EXIT (NREVERSE #2#)))))
                  (LETT |n| (LENGTH |d|))
                  (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| %))
                  (LETT |w| (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| %))
                  (LETT |l| (CDR |l|)) (LETT |r| (CDR |r|))
                  (SEQ G190 (COND ((NULL (NULL (NULL |l|))) (GO G191)))
                       (SEQ
                        (LETT |mm|
                              (SPADCALL |mm|
                                        (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
                                         %)
                                        (QREFELT % 90)))
                        (LETT |w|
                              (SPADCALL |w|
                                        (|POLYCAT-;P2R| (|SPADfirst| |r|) |d|
                                         |n| %)
                                        (QREFELT % 96)))
                        (LETT |l| (CDR |l|)) (EXIT (LETT |r| (CDR |r|))))
                       NIL (GO G190) G191 (EXIT NIL))
                  (EXIT (CONS |mm| |w|))))))))) 

(SDEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;19|
        ((|lpp| (|List| (|SparseUnivariatePolynomial| S)))
         (|pp| (|SparseUnivariatePolynomial| S))
         (% (|Union| (|List| (|SparseUnivariatePolynomial| S)) "failed")))
        (SPADCALL |lpp| |pp| (QREFELT % 103))) 

(SDEFUN |POLYCAT-;factorPolynomial;SupF;20|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (QREFELT % 109))) 

(SDEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;21|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (QREFELT % 109))) 

(SDEFUN |POLYCAT-;factor;SF;22| ((|p| (S)) (% (|Factored| S)))
        (SPADCALL |p| (QREFELT % 113))) 

(SDEFUN |POLYCAT-;factorPolynomial;SupF;23|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (ELT % 116) (QREFELT % 119))) 

(SDEFUN |POLYCAT-;factor;SF;24| ((|p| (S)) (% (|Factored| S)))
        (SPADCALL |p| (ELT % 116) (QREFELT % 120))) 

(SDEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (ELT % 116) (QREFELT % 119))) 

(SDEFUN |POLYCAT-;gcdPolynomial;3Sup;26|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (|qq| (|SparseUnivariatePolynomial| S))
         (% (|SparseUnivariatePolynomial| S)))
        (SPADCALL |pp| |qq| (QREFELT % 122))) 

(SDEFUN |POLYCAT-;factorPolynomial;SupF;27|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (QREFELT % 124))) 

(SDEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;28|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (QREFELT % 125))) 

(SDEFUN |POLYCAT-;factor;SF;29| ((|p| (S)) (% (|Factored| S)))
        (SPROG
         ((#1=#:G273 NIL) (|ww| NIL) (#2=#:G272 NIL)
          (|ansSUP| (|Factored| (|SparseUnivariatePolynomial| S)))
          (|up| (|SparseUnivariatePolynomial| S)) (#3=#:G271 NIL) (|w| NIL)
          (#4=#:G270 NIL) (|ansR| (|Factored| R))
          (|v| (|Union| |VarSet| "failed")))
         (SEQ (LETT |v| (SPADCALL |p| (QREFELT % 38)))
              (EXIT
               (COND
                ((QEQCAR |v| 1)
                 (SEQ
                  (LETT |ansR|
                        (SPADCALL (SPADCALL |p| (QREFELT % 33))
                                  (QREFELT % 126)))
                  (EXIT
                   (SPADCALL
                    (SPADCALL (SPADCALL |ansR| (QREFELT % 128)) (QREFELT % 36))
                    (PROGN
                     (LETT #4# NIL)
                     (SEQ (LETT |w| NIL)
                          (LETT #3# (SPADCALL |ansR| (QREFELT % 132))) G190
                          (COND
                           ((OR (ATOM #3#) (PROGN (LETT |w| (CAR #3#)) NIL))
                            (GO G191)))
                          (SEQ
                           (EXIT
                            (LETT #4#
                                  (CONS
                                   (VECTOR (QVELT |w| 0)
                                           (SPADCALL (QVELT |w| 1)
                                                     (QREFELT % 36))
                                           (QVELT |w| 2))
                                   #4#))))
                          (LETT #3# (CDR #3#)) (GO G190) G191
                          (EXIT (NREVERSE #4#))))
                    (QREFELT % 135)))))
                ('T
                 (SEQ (LETT |up| (SPADCALL |p| (QCDR |v|) (QREFELT % 44)))
                      (LETT |ansSUP| (SPADCALL |up| (QREFELT % 124)))
                      (EXIT
                       (SPADCALL
                        (SPADCALL (SPADCALL |ansSUP| (QREFELT % 136))
                                  (QCDR |v|) (QREFELT % 137))
                        (PROGN
                         (LETT #2# NIL)
                         (SEQ (LETT |ww| NIL)
                              (LETT #1# (SPADCALL |ansSUP| (QREFELT % 140)))
                              G190
                              (COND
                               ((OR (ATOM #1#)
                                    (PROGN (LETT |ww| (CAR #1#)) NIL))
                                (GO G191)))
                              (SEQ
                               (EXIT
                                (LETT #2#
                                      (CONS
                                       (VECTOR (QVELT |ww| 0)
                                               (SPADCALL (QVELT |ww| 1)
                                                         (QCDR |v|)
                                                         (QREFELT % 137))
                                               (QVELT |ww| 2))
                                       #2#))))
                              (LETT #1# (CDR #1#)) (GO G190) G191
                              (EXIT (NREVERSE #2#))))
                        (QREFELT % 135)))))))))) 

(SDEFUN |POLYCAT-;gcdPolynomial;3Sup;30|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (|qq| (|SparseUnivariatePolynomial| S))
         (% (|SparseUnivariatePolynomial| S)))
        (SPADCALL |pp| |qq| (QREFELT % 122))) 

(SDEFUN |POLYCAT-;factorPolynomial;SupF;31|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (QREFELT % 124))) 

(SDEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;32|
        ((|pp| (|SparseUnivariatePolynomial| S))
         (% (|Factored| (|SparseUnivariatePolynomial| S))))
        (SPADCALL |pp| (QREFELT % 125))) 

(SDEFUN |POLYCAT-;factor;SF;33| ((|p| (S)) (% (|Factored| S)))
        (SPROG
         ((#1=#:G299 NIL) (|ww| NIL) (#2=#:G298 NIL)
          (|ansSUP| (|Factored| (|SparseUnivariatePolynomial| S)))
          (|up| (|SparseUnivariatePolynomial| S)) (#3=#:G297 NIL) (|w| NIL)
          (#4=#:G296 NIL) (|ansR| (|Factored| R))
          (|v| (|Union| |VarSet| "failed")))
         (SEQ (LETT |v| (SPADCALL |p| (QREFELT % 38)))
              (EXIT
               (COND
                ((QEQCAR |v| 1)
                 (SEQ
                  (LETT |ansR|
                        (SPADCALL (SPADCALL |p| (QREFELT % 33))
                                  (QREFELT % 126)))
                  (EXIT
                   (SPADCALL
                    (SPADCALL (SPADCALL |ansR| (QREFELT % 128)) (QREFELT % 36))
                    (PROGN
                     (LETT #4# NIL)
                     (SEQ (LETT |w| NIL)
                          (LETT #3# (SPADCALL |ansR| (QREFELT % 132))) G190
                          (COND
                           ((OR (ATOM #3#) (PROGN (LETT |w| (CAR #3#)) NIL))
                            (GO G191)))
                          (SEQ
                           (EXIT
                            (LETT #4#
                                  (CONS
                                   (VECTOR (QVELT |w| 0)
                                           (SPADCALL (QVELT |w| 1)
                                                     (QREFELT % 36))
                                           (QVELT |w| 2))
                                   #4#))))
                          (LETT #3# (CDR #3#)) (GO G190) G191
                          (EXIT (NREVERSE #4#))))
                    (QREFELT % 135)))))
                ('T
                 (SEQ (LETT |up| (SPADCALL |p| (QCDR |v|) (QREFELT % 44)))
                      (LETT |ansSUP| (SPADCALL |up| (QREFELT % 124)))
                      (EXIT
                       (SPADCALL
                        (SPADCALL (SPADCALL |ansSUP| (QREFELT % 136))
                                  (QCDR |v|) (QREFELT % 137))
                        (PROGN
                         (LETT #2# NIL)
                         (SEQ (LETT |ww| NIL)
                              (LETT #1# (SPADCALL |ansSUP| (QREFELT % 140)))
                              G190
                              (COND
                               ((OR (ATOM #1#)
                                    (PROGN (LETT |ww| (CAR #1#)) NIL))
                                (GO G191)))
                              (SEQ
                               (EXIT
                                (LETT #2#
                                      (CONS
                                       (VECTOR (QVELT |ww| 0)
                                               (SPADCALL (QVELT |ww| 1)
                                                         (QCDR |v|)
                                                         (QREFELT % 137))
                                               (QVELT |ww| 2))
                                       #2#))))
                              (LETT #1# (CDR #1#)) (GO G190) G191
                              (EXIT (NREVERSE #2#))))
                        (QREFELT % 135)))))))))) 

(SDEFUN |POLYCAT-;conditionP;MU;34|
        ((|mat| (|Matrix| S)) (% (|Union| (|Vector| S) #1="failed")))
        (SPROG
         ((#2=#:G328 NIL) (#3=#:G327 (S)) (#4=#:G329 (S))
          (|i| (|NonNegativeInteger|)) (#5=#:G352 NIL) (|m| NIL)
          (#6=#:G349 NIL) (#7=#:G351 NIL) (#8=#:G350 NIL)
          (|ans| (|Union| (|Vector| R) #1#)) (|monslist| (|List| (|List| S)))
          (|llR| (|List| (|List| R))) (#9=#:G347 NIL) (|u| NIL)
          (#10=#:G348 NIL) (|v| NIL) (#11=#:G346 NIL) (|redmons| (|List| S))
          (|deg1| (|List| (|NonNegativeInteger|))) (#12=#:G314 NIL)
          (#13=#:G338 NIL) (|nd| (|Union| (|Integer|) "failed"))
          (#14=#:G345 NIL) (|d| NIL) (#15=#:G344 NIL)
          (|degs| (|List| (|NonNegativeInteger|))) (|vars| (|List| |VarSet|))
          (#16=#:G343 NIL) (|mons| #17=(|List| S)) (#18=#:G307 NIL)
          (#19=#:G306 #17#) (#20=#:G308 #17#) (#21=#:G342 NIL) (#22=#:G341 NIL)
          (|l| NIL) (|ch| (|Integer|)) (#23=#:G340 NIL) (|z| NIL)
          (#24=#:G339 NIL) (|ll| (|List| (|List| S))))
         (SEQ
          (EXIT
           (SEQ
            (LETT |ll|
                  (SPADCALL (SPADCALL |mat| (QREFELT % 141)) (QREFELT % 88)))
            (LETT |llR|
                  (PROGN
                   (LETT #24# NIL)
                   (SEQ (LETT |z| NIL) (LETT #23# (|SPADfirst| |ll|)) G190
                        (COND
                         ((OR (ATOM #23#) (PROGN (LETT |z| (CAR #23#)) NIL))
                          (GO G191)))
                        (SEQ (EXIT (LETT #24# (CONS NIL #24#))))
                        (LETT #23# (CDR #23#)) (GO G190) G191
                        (EXIT (NREVERSE #24#)))))
            (LETT |monslist| NIL) (LETT |ch| (SPADCALL (QREFELT % 142)))
            (SEQ (LETT |l| NIL) (LETT #22# |ll|) G190
                 (COND
                  ((OR (ATOM #22#) (PROGN (LETT |l| (CAR #22#)) NIL))
                   (GO G191)))
                 (SEQ
                  (LETT |mons|
                        (PROGN
                         (LETT #18# NIL)
                         (SEQ (LETT |u| NIL) (LETT #21# |l|) G190
                              (COND
                               ((OR (ATOM #21#)
                                    (PROGN (LETT |u| (CAR #21#)) NIL))
                                (GO G191)))
                              (SEQ
                               (EXIT
                                (PROGN
                                 (LETT #20# (SPADCALL |u| (QREFELT % 75)))
                                 (COND
                                  (#18#
                                   (LETT #19#
                                         (SPADCALL #19# #20# (QREFELT % 143))))
                                  ('T
                                   (PROGN (LETT #19# #20#) (LETT #18# 'T)))))))
                              (LETT #21# (CDR #21#)) (GO G190) G191 (EXIT NIL))
                         (COND (#18# #19#)
                               ('T (|IdentityError| '|setUnion|)))))
                  (LETT |redmons| NIL)
                  (SEQ (LETT |m| NIL) (LETT #16# |mons|) G190
                       (COND
                        ((OR (ATOM #16#) (PROGN (LETT |m| (CAR #16#)) NIL))
                         (GO G191)))
                       (SEQ (LETT |vars| (SPADCALL |m| (QREFELT % 24)))
                            (LETT |degs| (SPADCALL |m| |vars| (QREFELT % 144)))
                            (LETT |deg1|
                                  (PROGN
                                   (LETT #15# NIL)
                                   (SEQ (LETT |d| NIL) (LETT #14# |degs|) G190
                                        (COND
                                         ((OR (ATOM #14#)
                                              (PROGN
                                               (LETT |d| (CAR #14#))
                                               NIL))
                                          (GO G191)))
                                        (SEQ
                                         (EXIT
                                          (LETT #15#
                                                (CONS
                                                 (SEQ
                                                  (LETT |nd|
                                                        (SPADCALL |d| |ch|
                                                                  (QREFELT %
                                                                           146)))
                                                  (EXIT
                                                   (COND
                                                    ((QEQCAR |nd| 1)
                                                     (PROGN
                                                      (LETT #13#
                                                            (CONS 1 "failed"))
                                                      (GO #25=#:G337)))
                                                    ('T
                                                     (PROG1
                                                         (LETT #12#
                                                               (QCDR |nd|))
                                                       (|check_subtype2|
                                                        (>= #12# 0)
                                                        '(|NonNegativeInteger|)
                                                        '(|Integer|) #12#))))))
                                                 #15#))))
                                        (LETT #14# (CDR #14#)) (GO G190) G191
                                        (EXIT (NREVERSE #15#)))))
                            (LETT |redmons|
                                  (CONS
                                   (SPADCALL (|spadConstant| % 27) |vars|
                                             |deg1| (QREFELT % 147))
                                   |redmons|))
                            (EXIT
                             (LETT |llR|
                                   (PROGN
                                    (LETT #11# NIL)
                                    (SEQ (LETT |v| NIL) (LETT #10# |llR|)
                                         (LETT |u| NIL) (LETT #9# |l|) G190
                                         (COND
                                          ((OR (ATOM #9#)
                                               (PROGN (LETT |u| (CAR #9#)) NIL)
                                               (ATOM #10#)
                                               (PROGN
                                                (LETT |v| (CAR #10#))
                                                NIL))
                                           (GO G191)))
                                         (SEQ
                                          (EXIT
                                           (LETT #11#
                                                 (CONS
                                                  (CONS
                                                   (SPADCALL
                                                    (SPADCALL |u| |vars| |degs|
                                                              (QREFELT % 49))
                                                    (QREFELT % 148))
                                                   |v|)
                                                  #11#))))
                                         (LETT #9#
                                               (PROG1 (CDR #9#)
                                                 (LETT #10# (CDR #10#))))
                                         (GO G190) G191
                                         (EXIT (NREVERSE #11#)))))))
                       (LETT #16# (CDR #16#)) (GO G190) G191 (EXIT NIL))
                  (EXIT (LETT |monslist| (CONS |redmons| |monslist|))))
                 (LETT #22# (CDR #22#)) (GO G190) G191 (EXIT NIL))
            (LETT |ans|
                  (SPADCALL
                   (SPADCALL (SPADCALL |llR| (QREFELT % 85)) (QREFELT % 149))
                   (QREFELT % 151)))
            (EXIT
             (COND ((QEQCAR |ans| 1) (CONS 1 "failed"))
                   ('T
                    (SEQ (LETT |i| 0)
                         (EXIT
                          (CONS 0
                                (PROGN
                                 (LETT #8# (GETREFV (SIZE |monslist|)))
                                 (SEQ (LETT #7# |monslist|) (LETT #6# 0) G190
                                      (COND
                                       ((OR (ATOM #7#)
                                            (PROGN
                                             (LETT |mons| (CAR #7#))
                                             NIL))
                                        (GO G191)))
                                      (SEQ
                                       (EXIT
                                        (SETELT #8# #6#
                                                (PROGN
                                                 (LETT #2# NIL)
                                                 (SEQ (LETT |m| NIL)
                                                      (LETT #5# |mons|) G190
                                                      (COND
                                                       ((OR (ATOM #5#)
                                                            (PROGN
                                                             (LETT |m|
                                                                   (CAR #5#))
                                                             NIL))
                                                        (GO G191)))
                                                      (SEQ
                                                       (EXIT
                                                        (PROGN
                                                         (LETT #4#
                                                               (SPADCALL |m|
                                                                         (SPADCALL
                                                                          (SPADCALL
                                                                           (QCDR
                                                                            |ans|)
                                                                           (LETT
                                                                            |i|
                                                                            (+
                                                                             |i|
                                                                             1))
                                                                           (QREFELT
                                                                            %
                                                                            152))
                                                                          (QREFELT
                                                                           %
                                                                           36))
                                                                         (QREFELT
                                                                          %
                                                                          153)))
                                                         (COND
                                                          (#2#
                                                           (LETT #3#
                                                                 (SPADCALL #3#
                                                                           #4#
                                                                           (QREFELT
                                                                            %
                                                                            154))))
                                                          ('T
                                                           (PROGN
                                                            (LETT #3# #4#)
                                                            (LETT #2# 'T)))))))
                                                      (LETT #5# (CDR #5#))
                                                      (GO G190) G191
                                                      (EXIT NIL))
                                                 (COND (#2# #3#)
                                                       ('T
                                                        (|spadConstant| %
                                                                        55)))))))
                                      (LETT #6#
                                            (PROG1 (|inc_SI| #6#)
                                              (LETT #7# (CDR #7#))))
                                      (GO G190) G191 (EXIT NIL))
                                 #8#)))))))))
          #25# (EXIT #13#)))) 

(SDEFUN |POLYCAT-;charthRoot;SU;35| ((|p| (S)) (% (|Union| S "failed")))
        (SPROG
         ((|ch| (|NonNegativeInteger|)) (|ans| (|Union| R "failed"))
          (|vars| (|List| |VarSet|)))
         (SEQ (LETT |vars| (SPADCALL |p| (QREFELT % 24)))
              (EXIT
               (COND
                ((NULL |vars|)
                 (SEQ
                  (LETT |ans|
                        (SPADCALL (SPADCALL |p| (QREFELT % 148))
                                  (QREFELT % 156)))
                  (EXIT
                   (COND ((QEQCAR |ans| 1) (CONS 1 "failed"))
                         (#1='T
                          (CONS 0 (SPADCALL (QCDR |ans|) (QREFELT % 36))))))))
                (#1#
                 (SEQ (LETT |ch| (SPADCALL (QREFELT % 142)))
                      (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch| %))))))))) 

(SDEFUN |POLYCAT-;charthRootlv|
        ((|p| (S)) (|vars| (|List| |VarSet|)) (|ch| (|NonNegativeInteger|))
         (% (|Union| S #1="failed")))
        (SPROG
         ((#2=#:G382 NIL) (|ansx| (|Union| S #1#)) (|ans| (S)) (#3=#:G374 NIL)
          (|d| (|NonNegativeInteger|)) (|cp| (S))
          (|dd| (|Union| (|Integer|) "failed")) (|v| (|VarSet|)))
         (SEQ
          (EXIT
           (COND
            ((NULL |vars|)
             (SEQ
              (LETT |ans|
                    (SPADCALL (SPADCALL |p| (QREFELT % 148)) (QREFELT % 156)))
              (EXIT
               (COND ((QEQCAR |ans| 1) (CONS 1 "failed"))
                     (#4='T
                      (CONS 0 (SPADCALL (QCDR |ans|) (QREFELT % 36))))))))
            (#4#
             (SEQ (LETT |v| (|SPADfirst| |vars|)) (LETT |vars| (CDR |vars|))
                  (LETT |d| (SPADCALL |p| |v| (QREFELT % 31)))
                  (LETT |ans| (|spadConstant| % 55))
                  (SEQ G190 (COND ((NULL (> |d| 0)) (GO G191)))
                       (SEQ (LETT |dd| (SPADCALL |d| |ch| (QREFELT % 146)))
                            (EXIT
                             (COND
                              ((QEQCAR |dd| 1)
                               (PROGN
                                (LETT #2# (CONS 1 "failed"))
                                (GO #5=#:G381)))
                              ('T
                               (SEQ
                                (LETT |cp|
                                      (SPADCALL |p| |v| |d| (QREFELT % 158)))
                                (LETT |p|
                                      (SPADCALL |p|
                                                (SPADCALL |cp| |v| |d|
                                                          (QREFELT % 32))
                                                (QREFELT % 159)))
                                (LETT |ansx|
                                      (|POLYCAT-;charthRootlv| |cp| |vars| |ch|
                                       %))
                                (EXIT
                                 (COND
                                  ((QEQCAR |ansx| 1)
                                   (PROGN
                                    (LETT #2# (CONS 1 "failed"))
                                    (GO #5#)))
                                  ('T
                                   (SEQ
                                    (LETT |d|
                                          (SPADCALL |p| |v| (QREFELT % 31)))
                                    (EXIT
                                     (LETT |ans|
                                           (SPADCALL |ans|
                                                     (SPADCALL (QCDR |ansx|)
                                                               |v|
                                                               (PROG1
                                                                   (LETT #3#
                                                                         (QCDR
                                                                          |dd|))
                                                                 (|check_subtype2|
                                                                  (>= #3# 0)
                                                                  '(|NonNegativeInteger|)
                                                                  '(|Integer|)
                                                                  #3#))
                                                               (QREFELT % 32))
                                                     (QREFELT %
                                                              154)))))))))))))
                       NIL (GO G190) G191 (EXIT NIL))
                  (LETT |ansx| (|POLYCAT-;charthRootlv| |p| |vars| |ch| %))
                  (EXIT
                   (COND
                    ((QEQCAR |ansx| 1)
                     (PROGN (LETT #2# (CONS 1 "failed")) (GO #5#)))
                    (#4#
                     (PROGN
                      (LETT #2#
                            (CONS 0
                                  (SPADCALL |ans| (QCDR |ansx|)
                                            (QREFELT % 154))))
                      (GO #5#)))))))))
          #5# (EXIT #2#)))) 

(SDEFUN |POLYCAT-;monicDivide;2SVarSetR;37|
        ((|p1| (S)) (|p2| (S)) (|mvar| (|VarSet|))
         (% (|Record| (|:| |quotient| S) (|:| |remainder| S))))
        (SPROG
         ((|result|
           (|Record| (|:| |quotient| (|SparseUnivariatePolynomial| S))
                     (|:| |remainder| (|SparseUnivariatePolynomial| S)))))
         (SEQ
          (LETT |result|
                (SPADCALL (SPADCALL |p1| |mvar| (QREFELT % 44))
                          (SPADCALL |p2| |mvar| (QREFELT % 44))
                          (QREFELT % 161)))
          (EXIT
           (CONS (SPADCALL (QCAR |result|) |mvar| (QREFELT % 137))
                 (SPADCALL (QCDR |result|) |mvar| (QREFELT % 137))))))) 

(SDEFUN |POLYCAT-;squareFree;SF;38| ((|p| (S)) (% (|Factored| S)))
        (SPADCALL |p| (QREFELT % 164))) 

(SDEFUN |POLYCAT-;squareFree;SF;39| ((|p| (S)) (% (|Factored| S)))
        (SPADCALL |p| (QREFELT % 167))) 

(SDEFUN |POLYCAT-;squareFree;SF;40| ((|p| (S)) (% (|Factored| S)))
        (SPADCALL |p| (QREFELT % 167))) 

(SDEFUN |POLYCAT-;squareFreePart;2S;41| ((|p| (S)) (% (S)))
        (SPROG
         ((#1=#:G393 NIL) (#2=#:G392 (S)) (#3=#:G394 (S)) (#4=#:G396 NIL)
          (|f| NIL) (|s| (|Factored| S)))
         (SEQ
          (SPADCALL
           (SPADCALL (LETT |s| (SPADCALL |p| (QREFELT % 168))) (QREFELT % 169))
           (PROGN
            (LETT #1# NIL)
            (SEQ (LETT |f| NIL) (LETT #4# (SPADCALL |s| (QREFELT % 170))) G190
                 (COND
                  ((OR (ATOM #4#) (PROGN (LETT |f| (CAR #4#)) NIL)) (GO G191)))
                 (SEQ
                  (EXIT
                   (PROGN
                    (LETT #3# (QVELT |f| 1))
                    (COND (#1# (LETT #2# (SPADCALL #2# #3# (QREFELT % 153))))
                          ('T (PROGN (LETT #2# #3#) (LETT #1# 'T)))))))
                 (LETT #4# (CDR #4#)) (GO G190) G191 (EXIT NIL))
            (COND (#1# #2#) ('T (|spadConstant| % 27))))
           (QREFELT % 153))))) 

(SDEFUN |POLYCAT-;content;SVarSetS;42| ((|p| (S)) (|v| (|VarSet|)) (% (S)))
        (SPADCALL (SPADCALL |p| |v| (QREFELT % 44)) (QREFELT % 172))) 

(SDEFUN |POLYCAT-;primitivePart;2S;43| ((|p| (S)) (% (S)))
        (SPROG ((#1=#:G399 NIL))
               (COND ((SPADCALL |p| (QREFELT % 174)) |p|)
                     ('T
                      (QVELT
                       (SPADCALL
                        (PROG2
                            (LETT #1#
                                  (SPADCALL |p| (SPADCALL |p| (QREFELT % 175))
                                            (QREFELT % 176)))
                            (QCDR #1#)
                          (|check_union2| (QEQCAR #1# 0) (QREFELT % 6)
                                          (|Union| (QREFELT % 6) "failed")
                                          #1#))
                        (QREFELT % 178))
                       1))))) 

(SDEFUN |POLYCAT-;primitivePart;SVarSetS;44|
        ((|p| (S)) (|v| (|VarSet|)) (% (S)))
        (SPROG ((#1=#:G405 NIL))
               (COND ((SPADCALL |p| (QREFELT % 174)) |p|)
                     ('T
                      (QVELT
                       (SPADCALL
                        (PROG2
                            (LETT #1#
                                  (SPADCALL |p|
                                            (SPADCALL |p| |v| (QREFELT % 180))
                                            (QREFELT % 181)))
                            (QCDR #1#)
                          (|check_union2| (QEQCAR #1# 0) (QREFELT % 6)
                                          (|Union| (QREFELT % 6) "failed")
                                          #1#))
                        (QREFELT % 178))
                       1))))) 

(SDEFUN |POLYCAT-;smaller?;2SB;45| ((|p| (S)) (|q| (S)) (% (|Boolean|)))
        (SPROG ((#1=#:G418 NIL) (|lq| (R)) (|lp| (R)) (|dq| (E)) (|dp| (E)))
               (SEQ
                (EXIT
                 (SEQ
                  (SEQ G190
                       (COND
                        ((NULL
                          (COND
                           ((SPADCALL |p| (|spadConstant| % 55)
                                      (QREFELT % 183))
                            (SPADCALL |q| (|spadConstant| % 55)
                                      (QREFELT % 183)))
                           ('T NIL)))
                         (GO G191)))
                       (SEQ (LETT |dp| (SPADCALL |p| (QREFELT % 89)))
                            (LETT |dq| (SPADCALL |q| (QREFELT % 89)))
                            (EXIT
                             (COND
                              ((SPADCALL |dp| |dq| (QREFELT % 184))
                               (PROGN
                                (LETT #1#
                                      (SPADCALL (|spadConstant| % 56)
                                                (SPADCALL |q| (QREFELT % 33))
                                                (QREFELT % 186)))
                                (GO #2=#:G417)))
                              ((SPADCALL |dq| |dp| (QREFELT % 184))
                               (PROGN
                                (LETT #1#
                                      (SPADCALL (SPADCALL |p| (QREFELT % 33))
                                                (|spadConstant| % 56)
                                                (QREFELT % 186)))
                                (GO #2#)))
                              ('T
                               (SEQ (LETT |lp| (SPADCALL |p| (QREFELT % 33)))
                                    (LETT |lq| (SPADCALL |q| (QREFELT % 33)))
                                    (EXIT
                                     (COND
                                      ((SPADCALL |lp| |lq| (QREFELT % 187))
                                       (PROGN
                                        (LETT #1#
                                              (SPADCALL |lp| |lq|
                                                        (QREFELT % 186)))
                                        (GO #2#)))
                                      ('T
                                       (SEQ
                                        (LETT |p|
                                              (SPADCALL |p| (QREFELT % 188)))
                                        (EXIT
                                         (LETT |q|
                                               (SPADCALL |q|
                                                         (QREFELT %
                                                                  188)))))))))))))
                       NIL (GO G190) G191 (EXIT NIL))
                  (EXIT
                   (COND
                    ((SPADCALL |p| (|spadConstant| % 55) (QREFELT % 39))
                     (SPADCALL (|spadConstant| % 56)
                               (SPADCALL |q| (QREFELT % 33)) (QREFELT % 186)))
                    ('T
                     (SPADCALL (SPADCALL |p| (QREFELT % 33))
                               (|spadConstant| % 56) (QREFELT % 186)))))))
                #2# (EXIT #1#)))) 

(SDEFUN |POLYCAT-;patternMatch;SP2Pmr;46|
        ((|p| (S)) (|pat| (|Pattern| (|Integer|)))
         (|l| (|PatternMatchResult| (|Integer|) S))
         (% (|PatternMatchResult| (|Integer|) S)))
        (SPADCALL |p| |pat| |l| (QREFELT % 193))) 

(SDEFUN |POLYCAT-;patternMatch;SP2Pmr;47|
        ((|p| (S)) (|pat| (|Pattern| (|Float|)))
         (|l| (|PatternMatchResult| (|Float|) S))
         (% (|PatternMatchResult| (|Float|) S)))
        (SPADCALL |p| |pat| |l| (QREFELT % 199))) 

(SDEFUN |POLYCAT-;convert;SP;48| ((|x| (S)) (% (|Pattern| (|Integer|))))
        (SPROG
         ((|res| (|Pattern| (|Integer|))) (#1=#:G450 NIL) (|mx| NIL)
          (|lx| (|Union| (|List| S) "failed")) (#2=#:G449 NIL) (|tx| NIL)
          (|exr|
           (|Record| (|:| |var| |VarSet|)
                     (|:| |exponent| (|NonNegativeInteger|))))
          (|ex|
           (|Union|
            (|Record| (|:| |var| |VarSet|)
                      (|:| |exponent| (|NonNegativeInteger|)))
            "failed"))
          (|vu| (|Union| |VarSet| #3="failed")) (|r| (|Union| R #3#)))
         (SEQ (LETT |r| (SPADCALL |x| (QREFELT % 203)))
              (EXIT
               (COND ((QEQCAR |r| 0) (SPADCALL (QCDR |r|) (QREFELT % 204)))
                     (#4='T
                      (SEQ (LETT |vu| (SPADCALL |x| (QREFELT % 13)))
                           (EXIT
                            (COND
                             ((QEQCAR |vu| 0)
                              (SPADCALL (QCDR |vu|) (QREFELT % 205)))
                             (#4#
                              (SEQ (LETT |ex| (SPADCALL |x| (QREFELT % 206)))
                                   (EXIT
                                    (COND
                                     ((QEQCAR |ex| 0)
                                      (SEQ (LETT |exr| (QCDR |ex|))
                                           (EXIT
                                            (SPADCALL
                                             (SPADCALL (QCAR |exr|)
                                                       (QREFELT % 205))
                                             (QCDR |exr|) (QREFELT % 207)))))
                                     (#4#
                                      (SEQ
                                       (LETT |lx|
                                             (SPADCALL |x| (QREFELT % 208)))
                                       (EXIT
                                        (COND
                                         ((QEQCAR |lx| 0)
                                          (SEQ
                                           (LETT |res| (|spadConstant| % 209))
                                           (SEQ (LETT |tx| NIL)
                                                (LETT #2#
                                                      (REVERSE (QCDR |lx|)))
                                                G190
                                                (COND
                                                 ((OR (ATOM #2#)
                                                      (PROGN
                                                       (LETT |tx| (CAR #2#))
                                                       NIL))
                                                  (GO G191)))
                                                (SEQ
                                                 (EXIT
                                                  (LETT |res|
                                                        (SPADCALL
                                                         (SPADCALL |tx|
                                                                   (QREFELT %
                                                                            210))
                                                         |res|
                                                         (QREFELT % 211)))))
                                                (LETT #2# (CDR #2#)) (GO G190)
                                                G191 (EXIT NIL))
                                           (EXIT |res|)))
                                         (#4#
                                          (SEQ
                                           (LETT |lx|
                                                 (SPADCALL |x|
                                                           (QREFELT % 212)))
                                           (EXIT
                                            (COND
                                             ((QEQCAR |lx| 0)
                                              (SEQ
                                               (LETT |res|
                                                     (|spadConstant| % 213))
                                               (SEQ (LETT |mx| NIL)
                                                    (LETT #1#
                                                          (REVERSE
                                                           (QCDR |lx|)))
                                                    G190
                                                    (COND
                                                     ((OR (ATOM #1#)
                                                          (PROGN
                                                           (LETT |mx|
                                                                 (CAR #1#))
                                                           NIL))
                                                      (GO G191)))
                                                    (SEQ
                                                     (EXIT
                                                      (LETT |res|
                                                            (SPADCALL
                                                             (SPADCALL |mx|
                                                                       (QREFELT
                                                                        % 210))
                                                             |res|
                                                             (QREFELT %
                                                                      214)))))
                                                    (LETT #1# (CDR #1#))
                                                    (GO G190) G191 (EXIT NIL))
                                               (EXIT |res|)))
                                             (#4#
                                              (|error|
                                               "conv_def: impossible"))))))))))))))))))))))) 

(SDEFUN |POLYCAT-;convert;SP;49| ((|x| (S)) (% (|Pattern| (|Float|))))
        (SPROG
         ((|res| (|Pattern| (|Float|))) (#1=#:G478 NIL) (|mx| NIL)
          (|lx| (|Union| (|List| S) "failed")) (#2=#:G477 NIL) (|tx| NIL)
          (|exr|
           (|Record| (|:| |var| |VarSet|)
                     (|:| |exponent| (|NonNegativeInteger|))))
          (|ex|
           (|Union|
            (|Record| (|:| |var| |VarSet|)
                      (|:| |exponent| (|NonNegativeInteger|)))
            "failed"))
          (|vu| (|Union| |VarSet| #3="failed")) (|r| (|Union| R #3#)))
         (SEQ (LETT |r| (SPADCALL |x| (QREFELT % 203)))
              (EXIT
               (COND ((QEQCAR |r| 0) (SPADCALL (QCDR |r|) (QREFELT % 216)))
                     (#4='T
                      (SEQ (LETT |vu| (SPADCALL |x| (QREFELT % 13)))
                           (EXIT
                            (COND
                             ((QEQCAR |vu| 0)
                              (SPADCALL (QCDR |vu|) (QREFELT % 217)))
                             (#4#
                              (SEQ (LETT |ex| (SPADCALL |x| (QREFELT % 206)))
                                   (EXIT
                                    (COND
                                     ((QEQCAR |ex| 0)
                                      (SEQ (LETT |exr| (QCDR |ex|))
                                           (EXIT
                                            (SPADCALL
                                             (SPADCALL (QCAR |exr|)
                                                       (QREFELT % 217))
                                             (QCDR |exr|) (QREFELT % 218)))))
                                     (#4#
                                      (SEQ
                                       (LETT |lx|
                                             (SPADCALL |x| (QREFELT % 208)))
                                       (EXIT
                                        (COND
                                         ((QEQCAR |lx| 0)
                                          (SEQ
                                           (LETT |res| (|spadConstant| % 219))
                                           (SEQ (LETT |tx| NIL)
                                                (LETT #2#
                                                      (REVERSE (QCDR |lx|)))
                                                G190
                                                (COND
                                                 ((OR (ATOM #2#)
                                                      (PROGN
                                                       (LETT |tx| (CAR #2#))
                                                       NIL))
                                                  (GO G191)))
                                                (SEQ
                                                 (EXIT
                                                  (LETT |res|
                                                        (SPADCALL
                                                         (SPADCALL |tx|
                                                                   (QREFELT %
                                                                            220))
                                                         |res|
                                                         (QREFELT % 221)))))
                                                (LETT #2# (CDR #2#)) (GO G190)
                                                G191 (EXIT NIL))
                                           (EXIT |res|)))
                                         (#4#
                                          (SEQ
                                           (LETT |lx|
                                                 (SPADCALL |x|
                                                           (QREFELT % 212)))
                                           (EXIT
                                            (COND
                                             ((QEQCAR |lx| 0)
                                              (SEQ
                                               (LETT |res|
                                                     (|spadConstant| % 222))
                                               (SEQ (LETT |mx| NIL)
                                                    (LETT #1#
                                                          (REVERSE
                                                           (QCDR |lx|)))
                                                    G190
                                                    (COND
                                                     ((OR (ATOM #1#)
                                                          (PROGN
                                                           (LETT |mx|
                                                                 (CAR #1#))
                                                           NIL))
                                                      (GO G191)))
                                                    (SEQ
                                                     (EXIT
                                                      (LETT |res|
                                                            (SPADCALL
                                                             (SPADCALL |mx|
                                                                       (QREFELT
                                                                        % 220))
                                                             |res|
                                                             (QREFELT %
                                                                      223)))))
                                                    (LETT #1# (CDR #1#))
                                                    (GO G190) G191 (EXIT NIL))
                                               (EXIT |res|)))
                                             (#4#
                                              (|error|
                                               "conv_def: impossible"))))))))))))))))))))))) 

(SDEFUN |POLYCAT-;convert;SIf;50| ((|p| (S)) (% (|InputForm|)))
        (SPADCALL (ELT % 226) (ELT % 227) |p| (QREFELT % 231))) 

(SDEFUN |POLYCAT-;hashUpdate!;HsSHs;51|
        ((|s| (|HashState|)) (|x| (S)) (% (|HashState|)))
        (SPROG
         ((|xu| (|SparseUnivariatePolynomial| S)) (|d| (|NonNegativeInteger|))
          (|v| (|VarSet|)) (|vu| (|Union| |VarSet| "failed")))
         (SEQ (LETT |vu| (SPADCALL |x| (QREFELT % 38)))
              (EXIT
               (COND
                ((QEQCAR |vu| 1)
                 (SPADCALL |s| (SPADCALL |x| (QREFELT % 148)) (QREFELT % 234)))
                ('T
                 (SEQ (LETT |v| (QCDR |vu|))
                      (LETT |s| (SPADCALL |s| |v| (QREFELT % 235)))
                      (LETT |xu| (SPADCALL |x| |v| (QREFELT % 44)))
                      (SEQ G190
                           (COND
                            ((NULL
                              (> (LETT |d| (SPADCALL |xu| (QREFELT % 59))) 0))
                             (GO G191)))
                           (SEQ (LETT |s| (SPADCALL |s| |d| (QREFELT % 236)))
                                (LETT |s|
                                      (SPADCALL |s|
                                                (SPADCALL |xu| (QREFELT % 60))
                                                (QREFELT % 237)))
                                (EXIT
                                 (LETT |xu| (SPADCALL |xu| (QREFELT % 62)))))
                           NIL (GO G190) G191 (EXIT NIL))
                      (EXIT
                       (SPADCALL |s| (SPADCALL |xu| (QREFELT % 238))
                                 (QREFELT % 237)))))))))) 

(DECLAIM (NOTINLINE |PolynomialCategory&;|)) 

(DEFUN |PolynomialCategory&| (|#1| |#2| |#3| |#4|)
  (SPROG
   ((|pv$| NIL) (% NIL) (|dv$| NIL) (DV$4 NIL) (DV$3 NIL) (DV$2 NIL)
    (DV$1 NIL))
   (PROGN
    (LETT DV$1 (|devaluate| |#1|))
    (LETT DV$2 (|devaluate| |#2|))
    (LETT DV$3 (|devaluate| |#3|))
    (LETT DV$4 (|devaluate| |#4|))
    (LETT |dv$| (LIST '|PolynomialCategory&| DV$1 DV$2 DV$3 DV$4))
    (LETT % (GETREFV 247))
    (QSETREFV % 0 |dv$|)
    (QSETREFV % 3
              (LETT |pv$|
                    (|buildPredVector| 0 0
                                       (LIST
                                        (|HasCategory| |#2|
                                                       '(|PolynomialFactorizationExplicit|))
                                        (|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|)))
                                        (|HasCategory| |#4| '(|Hashable|))
                                        (|HasCategory| |#2| '(|Hashable|))
                                        (|HasCategory| |#2| '(|Ring|))
                                        (|HasCategory| |#2| '(|SemiRing|))))))
    (|stuffDomainSlots| %)
    (QSETREFV % 6 |#1|)
    (QSETREFV % 7 |#2|)
    (QSETREFV % 8 |#3|)
    (QSETREFV % 9 |#4|)
    (SETF |pv$| (QREFELT % 3))
    (COND
     ((|testBitVector| |pv$| 17)
      (QSETREFV % 20 (CONS (|dispatchFunction| |POLYCAT-;eval;SLS;1|) %))))
    (COND
     ((|testBitVector| |pv$| 17)
      (PROGN
       (QSETREFV % 37 (CONS (|dispatchFunction| |POLYCAT-;isTimes;SU;3|) %))
       (QSETREFV % 42 (CONS (|dispatchFunction| |POLYCAT-;isExpt;SU;4|) %)))))
    (COND
     ((|HasCategory| |#1| '(|CommutativeRing|))
      (COND
       ((|testBitVector| |pv$| 3)
        (PROGN
         (QSETREFV % 72
                   (CONS (|dispatchFunction| |POLYCAT-;resultant;2SVarSetS;12|)
                         %))
         (QSETREFV % 74
                   (CONS
                    (|dispatchFunction| |POLYCAT-;discriminant;SVarSetS;13|)
                    %)))))))
    (COND
     ((|HasCategory| |#2| '(|IntegralDomain|))
      (PROGN
       (QSETREFV % 92
                 (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MM;17|) %))
       (QSETREFV % 99
                 (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MVR;18|)
                       %)))))
    (COND
     ((|testBitVector| |pv$| 1)
      (PROGN
       (QSETREFV % 106
                 (CONS
                  (|dispatchFunction|
                   |POLYCAT-;solveLinearPolynomialEquation;LSupU;19|)
                  %))
       (COND
        ((|HasCategory| |#2| '(|FiniteFieldCategory|))
         (PROGN
          (QSETREFV % 111
                    (CONS
                     (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;20|)
                     %))
          (QSETREFV % 112
                    (CONS
                     (|dispatchFunction|
                      |POLYCAT-;factorSquareFreePolynomial;SupF;21|)
                     %))
          (QSETREFV % 115
                    (CONS (|dispatchFunction| |POLYCAT-;factor;SF;22|) %))))
        ((|HasCategory| |#2| '(|CharacteristicZero|))
         (COND
          ((|HasCategory| |#2| '(|EuclideanDomain|))
           (PROGN
            (QSETREFV % 111
                      (CONS
                       (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;23|)
                       %))
            (QSETREFV % 115
                      (CONS (|dispatchFunction| |POLYCAT-;factor;SF;24|) %))
            (QSETREFV % 112
                      (CONS
                       (|dispatchFunction|
                        |POLYCAT-;factorSquareFreePolynomial;SupF;25|)
                       %))))
          ('T
           (PROGN
            (QSETREFV % 123
                      (CONS
                       (|dispatchFunction| |POLYCAT-;gcdPolynomial;3Sup;26|)
                       %))
            (QSETREFV % 111
                      (CONS
                       (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;27|)
                       %))
            (QSETREFV % 112
                      (CONS
                       (|dispatchFunction|
                        |POLYCAT-;factorSquareFreePolynomial;SupF;28|)
                       %))
            (QSETREFV % 115
                      (CONS (|dispatchFunction| |POLYCAT-;factor;SF;29|)
                            %))))))
        ('T
         (PROGN
          (QSETREFV % 123
                    (CONS (|dispatchFunction| |POLYCAT-;gcdPolynomial;3Sup;30|)
                          %))
          (QSETREFV % 111
                    (CONS
                     (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;31|)
                     %))
          (QSETREFV % 112
                    (CONS
                     (|dispatchFunction|
                      |POLYCAT-;factorSquareFreePolynomial;SupF;32|)
                     %))
          (QSETREFV % 115
                    (CONS (|dispatchFunction| |POLYCAT-;factor;SF;33|) %)))))
       (COND
        ((|HasCategory| |#2| '(|CharacteristicNonZero|))
         (PROGN
          (QSETREFV % 155
                    (CONS (|dispatchFunction| |POLYCAT-;conditionP;MU;34|)
                          %))))))))
    (COND
     ((|HasCategory| |#2| '(|CharacteristicNonZero|))
      (PROGN
       (QSETREFV % 157
                 (CONS (|dispatchFunction| |POLYCAT-;charthRoot;SU;35|) %)))))
    (COND
     ((|testBitVector| |pv$| 16)
      (QSETREFV % 162
                (CONS (|dispatchFunction| |POLYCAT-;monicDivide;2SVarSetR;37|)
                      %))))
    (COND
     ((|testBitVector| |pv$| 2)
      (PROGN
       (COND
        ((|HasCategory| |#2| '(|EuclideanDomain|))
         (COND
          ((|HasCategory| |#2| '(|CharacteristicZero|))
           (QSETREFV % 165
                     (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;38|)
                           %)))
          ('T
           (QSETREFV % 165
                     (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;39|)
                           %)))))
        ('T
         (QSETREFV % 165
                   (CONS (|dispatchFunction| |POLYCAT-;squareFree;SF;40|) %))))
       (QSETREFV % 171
                 (CONS (|dispatchFunction| |POLYCAT-;squareFreePart;2S;41|) %))
       (QSETREFV % 173
                 (CONS (|dispatchFunction| |POLYCAT-;content;SVarSetS;42|) %))
       (QSETREFV % 179
                 (CONS (|dispatchFunction| |POLYCAT-;primitivePart;2S;43|) %))
       (QSETREFV % 182
                 (CONS
                  (|dispatchFunction| |POLYCAT-;primitivePart;SVarSetS;44|)
                  %)))))
    (COND
     ((|HasCategory| |#2| '(|Comparable|))
      (PROGN
       (QSETREFV % 189
                 (CONS (|dispatchFunction| |POLYCAT-;smaller?;2SB;45|) %))
       (COND
        ((|testBitVector| |pv$| 16)
         (PROGN
          (COND
           ((|testBitVector| |pv$| 7)
            (COND
             ((|testBitVector| |pv$| 6)
              (QSETREFV % 195
                        (CONS
                         (|dispatchFunction| |POLYCAT-;patternMatch;SP2Pmr;46|)
                         %))))))
          (COND
           ((|testBitVector| |pv$| 5)
            (COND
             ((|testBitVector| |pv$| 4)
              (QSETREFV % 201
                        (CONS
                         (|dispatchFunction| |POLYCAT-;patternMatch;SP2Pmr;47|)
                         %))))))))))))
    (COND
     ((|testBitVector| |pv$| 16)
      (PROGN
       (COND
        ((|testBitVector| |pv$| 11)
         (COND
          ((|testBitVector| |pv$| 10)
           (QSETREFV % 215
                     (CONS (|dispatchFunction| |POLYCAT-;convert;SP;48|)
                           %))))))
       (COND
        ((|testBitVector| |pv$| 9)
         (COND
          ((|testBitVector| |pv$| 8)
           (QSETREFV % 224
                     (CONS (|dispatchFunction| |POLYCAT-;convert;SP;49|)
                           %)))))))))
    (COND
     ((|testBitVector| |pv$| 13)
      (COND
       ((|testBitVector| |pv$| 12)
        (QSETREFV % 232
                  (CONS (|dispatchFunction| |POLYCAT-;convert;SIf;50|) %))))))
    (COND
     ((|testBitVector| |pv$| 15)
      (COND
       ((|testBitVector| |pv$| 14)
        (QSETREFV % 239
                  (CONS (|dispatchFunction| |POLYCAT-;hashUpdate!;HsSHs;51|)
                        %))))))
    %))) 

(MAKEPROP '|PolynomialCategory&| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
              (|local| |#3|) (|local| |#4|) (|Equation| 6) (0 . |lhs|)
              (|Union| 9 '#1="failed") (5 . |retractIfCan|) (10 . |retract|)
              (15 . |rhs|) (|List| 9) (|List| %) (20 . |eval|) (|List| 246)
              (27 . |eval|) (33 . |monomials|) (|Union| 17 '#2="failed")
              |POLYCAT-;isPlus;SU;2| (38 . |variables|) (|Boolean|)
              (43 . |monomial?|) (48 . |One|) (|Factored| 6) (52 . |One|)
              (|NonNegativeInteger|) (56 . |degree|) (62 . |monomial|)
              (69 . |leadingCoefficient|) (74 . |One|) (78 . =) (84 . |coerce|)
              (89 . |isTimes|) (94 . |mainVariable|) (99 . =)
              (|Record| (|:| |var| 9) (|:| |exponent| 30))
              (|Union| 40 '#3="failed") (105 . |isExpt|)
              (|SparseUnivariatePolynomial| %) (110 . |univariate|)
              (|SparseUnivariatePolynomial| 6) (116 . |coefficient|)
              |POLYCAT-;coefficient;SVarSetNniS;5| (|List| 30)
              (122 . |coefficient|) |POLYCAT-;coefficient;SLLS;6|
              (129 . |coerce|) |POLYCAT-;retract;SVarSet;7|
              |POLYCAT-;retractIfCan;SU;8| (134 . |ground?|) (139 . |Zero|)
              (143 . |Zero|) (147 . |Zero|) (151 . ~=) (157 . |degree|)
              (162 . |leadingCoefficient|) (167 . |totalDegree|)
              (172 . |reductum|) |POLYCAT-;totalDegree;SNni;9| (177 . <)
              (183 . =) (189 . |totalDegreeSorted|)
              |POLYCAT-;totalDegreeSorted;SLNni;10| (|Mapping| 25 9 9)
              (195 . |sort|) |POLYCAT-;totalDegree;SLNni;11|
              (201 . |resultant|) (207 . |resultant|) (214 . |discriminant|)
              (219 . |discriminant|) (225 . |primitiveMonomials|) (|List| 6)
              (230 . |concat|) (235 . |removeDuplicates!|) (|Integer|)
              (|Vector| 7) (240 . |minIndex|) (245 . |coefficient|)
              (|List| 245) (|Matrix| 7) (251 . |matrix|) (|List| 76)
              (|Matrix| 6) (256 . |listOfLists|) (261 . |degree|)
              (266 . |vertConcat|) (|Matrix| %) (272 . |reducedSystem|)
              (|Vector| 6) (277 . |entries|) (282 . |concat|) (288 . |concat|)
              (|Record| (|:| |mat| 84) (|:| |vec| 80)) (|Vector| %)
              (294 . |reducedSystem|) (|Union| 101 '"failed") (|List| 45)
              (|PolynomialFactorizationByRecursion| 7 8 9 6)
              (300 . |solveLinearPolynomialEquationByRecursion|)
              (|Union| 105 '#4="failed") (|List| 43)
              (306 . |solveLinearPolynomialEquation|) (|Factored| 45)
              (|MultFiniteFactorize| 9 8 7 6) (312 . |factor|) (|Factored| 43)
              (317 . |factorPolynomial|) (322 . |factorSquareFreePolynomial|)
              (327 . |factor|) (|Factored| %) (332 . |factor|)
              (337 . |factorPolynomial|)
              (|Mapping| (|Factored| (|SparseUnivariatePolynomial| 7))
                         (|SparseUnivariatePolynomial| 7))
              (|InnerMultFact| 9 8 7 6) (342 . |factor|) (348 . |factor|)
              (|GeneralPolynomialGcdPackage| 8 9 7 6) (354 . |gcdPolynomial|)
              (360 . |gcdPolynomial|) (366 . |factorByRecursion|)
              (371 . |factorSquareFreeByRecursion|) (376 . |factor|)
              (|Factored| 7) (381 . |unit|)
              (|Union| '"nil" '"sqfr" '"irred" '"prime")
              (|Record| (|:| |flag| 129) (|:| |factor| 7) (|:| |exponent| 30))
              (|List| 130) (386 . |factorList|)
              (|Record| (|:| |flag| 129) (|:| |factor| 6) (|:| |exponent| 30))
              (|List| 133) (391 . |makeFR|) (397 . |unit|)
              (402 . |multivariate|)
              (|Record| (|:| |flag| 129) (|:| |factor| 45) (|:| |exponent| 30))
              (|List| 138) (408 . |factorList|) (413 . |transpose|)
              (418 . |characteristic|) (422 . |setUnion|) (428 . |degree|)
              (|Union| % '"failed") (434 . |exquo|) (440 . |monomial|)
              (447 . |ground|) (452 . |transpose|) (|Union| 98 '#4#)
              (457 . |conditionP|) (462 . |elt|) (468 . *) (474 . +)
              (480 . |conditionP|) (485 . |charthRoot|) (490 . |charthRoot|)
              (495 . |coefficient|) (502 . -)
              (|Record| (|:| |quotient| %) (|:| |remainder| %))
              (508 . |monicDivide|) (514 . |monicDivide|)
              (|MultivariateSquareFree| 8 9 7 6) (521 . |squareFree|)
              (526 . |squareFree|) (|PolynomialSquareFree| 9 8 7 6)
              (531 . |squareFree|) (536 . |squareFree|) (541 . |unit|)
              (546 . |factorList|) (551 . |squareFreePart|) (556 . |content|)
              (561 . |content|) (567 . |zero?|) (572 . |content|)
              (577 . |exquo|)
              (|Record| (|:| |unit| %) (|:| |canonical| %) (|:| |associate| %))
              (583 . |unitNormal|) (588 . |primitivePart|) (593 . |content|)
              (599 . |exquo|) (605 . |primitivePart|) (611 . ~=) (617 . <)
              (623 . |Zero|) (627 . |smaller?|) (633 . ~=) (639 . |reductum|)
              (644 . |smaller?|) (|PatternMatchResult| 79 6) (|Pattern| 79)
              (|PatternMatchPolynomialCategory| 79 8 9 7 6)
              (650 . |patternMatch|) (|PatternMatchResult| 79 %)
              (657 . |patternMatch|) (|PatternMatchResult| (|Float|) 6)
              (|Pattern| (|Float|))
              (|PatternMatchPolynomialCategory| (|Float|) 8 9 7 6)
              (664 . |patternMatch|) (|PatternMatchResult| (|Float|) %)
              (671 . |patternMatch|) (|Union| 7 '#1#) (678 . |retractIfCan|)
              (683 . |convert|) (688 . |convert|) (693 . |isExpt|) (698 . ^)
              (704 . |isTimes|) (709 . |One|) (713 . |convert|) (718 . *)
              (724 . |isPlus|) (729 . |Zero|) (733 . +) (739 . |convert|)
              (744 . |convert|) (749 . |convert|) (754 . ^) (760 . |One|)
              (764 . |convert|) (769 . *) (775 . |Zero|) (779 . +)
              (785 . |convert|) (|InputForm|) (790 . |convert|)
              (795 . |convert|) (|Mapping| 225 9) (|Mapping| 225 7)
              (|PolynomialCategoryLifting| 8 9 7 6 225) (800 . |map|)
              (807 . |convert|) (|HashState|) (812 . |hashUpdate!|)
              (818 . |hashUpdate!|) (824 . |hashUpdate!|) (830 . |hashUpdate!|)
              (836 . |ground|) (841 . |hashUpdate!|) (|Union| 79 '#1#)
              (|Union| 242 '#1#) (|Fraction| 79)
              (|Record| (|:| |mat| 244) (|:| |vec| (|Vector| 79)))
              (|Matrix| 79) (|List| 7) (|Equation| %))
           '#(|totalDegreeSorted| 847 |totalDegree| 853 |squareFreePart| 864
              |squareFree| 869 |solveLinearPolynomialEquation| 874 |smaller?|
              880 |retractIfCan| 886 |retract| 891 |resultant| 896
              |reducedSystem| 903 |primitivePart| 914 |patternMatch| 925
              |monicDivide| 939 |isTimes| 946 |isPlus| 951 |isExpt| 956
              |hashUpdate!| 961 |gcdPolynomial| 967
              |factorSquareFreePolynomial| 973 |factorPolynomial| 978 |factor|
              983 |eval| 988 |discriminant| 994 |convert| 1000 |content| 1015
              |conditionP| 1021 |coefficient| 1026 |charthRoot| 1040)
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                                  (|SparseUnivariatePolynomial| |#1|)))
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                              '((|solveLinearPolynomialEquation|
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                              '((|primitivePart| (|#1| |#1| |#4|)) T)
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                              '((|resultant| (|#1| |#1| |#1| |#4|)) T)
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                              '((|eval| (|#1| |#1| |#4| |#2|)) T)
                              '((|reducedSystem|
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                              '((|reducedSystem|
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                              '((|reducedSystem|
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                                  (|Matrix| |#1|) (|Vector| |#1|)))
                                T)
                              '((|reducedSystem|
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                                T)
                              '((|smaller?| ((|Boolean|) |#1| |#1|)) T)
                              '((|totalDegreeSorted|
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                                T)
                              '((|totalDegree|
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                                T)
                              '((|totalDegree| ((|NonNegativeInteger|) |#1|))
                                T)
                              '((|coefficient|
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                                T)
                              '((|coefficient|
                                 (|#1| |#1| |#4| (|NonNegativeInteger|)))
                                T)
                              '((|primitivePart| (|#1| |#1|)) T)
                              '((|content| (|#2| |#1|)) T)
                              '((|retractIfCan| ((|Union| |#2| #1#) |#1|)) T)
                              '((|retract| (|#2| |#1|)) T)
                              '((|retract| ((|Fraction| (|Integer|)) |#1|)) T)
                              '((|retractIfCan|
                                 ((|Union| (|Fraction| (|Integer|)) #1#) |#1|))
                                T)
                              '((|retract| ((|Integer|) |#1|)) T)
                              '((|retractIfCan|
                                 ((|Union| (|Integer|) #1#) |#1|))
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                              '((|coefficient| (|#2| |#1| |#3|)) T))
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