path: root/src/algebra/strap/POLYCAT-.lsp

(/VERSIONCHECK 2) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%Shell|) |%Thing|)
                |POLYCAT-;eval;SLS;1|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|)
                |POLYCAT-;monomials;SL;2|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
                |POLYCAT-;isPlus;SU;3|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
                |POLYCAT-;isTimes;SU;4|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
                |POLYCAT-;isExpt;SU;5|)) 

(DECLAIM (FTYPE (FUNCTION
                    (|%Thing| |%Thing| (|%IntegerSection| 0) |%Shell|)
                    |%Thing|)
                |POLYCAT-;coefficient;SVarSetNniS;6|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%List| |%Shell|) |%Thing|)
                |POLYCAT-;coefficient;SLLS;7|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%List| |%Shell|) |%Thing|)
                |POLYCAT-;monomial;SLLS;8|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;retract;SVarSet;9|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
                |POLYCAT-;retractIfCan;SU;10|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;mkPrim|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%List|)
                |POLYCAT-;primitiveMonomials;SL;12|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) (|%IntegerSection| 0))
                |POLYCAT-;totalDegree;SNni;13|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%List| |%Shell|)
                    (|%IntegerSection| 0))
                |POLYCAT-;totalDegree;SLNni;14|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|)
                    |%Thing|)
                |POLYCAT-;resultant;2SVarSetS;15|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;discriminant;SVarSetS;16|)) 

(DECLAIM (FTYPE (FUNCTION (|%List| |%Shell|) |%List|)
                |POLYCAT-;allMonoms|)) 

(DECLAIM (FTYPE (FUNCTION
                    (|%Thing| |%List| (|%IntegerSection| 0) |%Shell|)
                    (|%Vector| *))
                |POLYCAT-;P2R|)) 

(DECLAIM (FTYPE (FUNCTION (|%List| |%List| |%Shell|) |%Thing|)
                |POLYCAT-;eq2R|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;reducedSystem;MM;20|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| (|%Vector| *) |%Shell|) |%Pair|)
                |POLYCAT-;reducedSystem;MVR;21|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;gcdPolynomial;3Sup;22|)) 

(DECLAIM (FTYPE (FUNCTION (|%List| |%Thing| |%Shell|) |%Pair|)
                |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;factorPolynomial;SupF;24|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;factorSquareFreePolynomial;SupF;25|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;factor;SF;26|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
                |POLYCAT-;conditionP;MU;27|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|)
                |POLYCAT-;charthRoot;SU;28|)) 

(DECLAIM (FTYPE (FUNCTION
                    (|%Thing| |%List| (|%IntegerSection| 0) |%Shell|)
                    |%Pair|)
                |POLYCAT-;charthRootlv|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|)
                    |%Pair|)
                |POLYCAT-;monicDivide;2SVarSetR;30|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;squareFree;SF;31|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;squareFree;SF;32|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;squareFree;SF;33|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;squareFreePart;2S;34|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;content;SVarSetS;35|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;primitivePart;2S;36|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;primitivePart;SVarSetS;37|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|)
                |POLYCAT-;<;2SB;38|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|)
                    |%Thing|)
                |POLYCAT-;patternMatch;SP2Pmr;39|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|)
                    |%Thing|)
                |POLYCAT-;patternMatch;SP2Pmr;40|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;convert;SP;41|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;convert;SP;42|)) 

(DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|)
                |POLYCAT-;convert;SIf;43|)) 

(DEFUN |POLYCAT-;eval;SLS;1| (|p| |l| $)
  (PROG (#0=#:G1686 #1=#:G1426 #2=#:G1687 #3=#:G1688 |lvar| #4=#:G1689
            |e| #5=#:G1690)
    (RETURN
      (SEQ (COND
             ((NULL |l|) |p|)
             ('T
              (SEQ (SEQ (EXIT (SEQ (LETT |e| NIL |POLYCAT-;eval;SLS;1|)
                                   (LETT #0# |l| |POLYCAT-;eval;SLS;1|)
                                   G190
                                   (COND
                                     ((OR (ATOM #0#)
                                       (PROGN
                                         (LETT |e| (CAR #0#)
                                          |POLYCAT-;eval;SLS;1|)
                                         NIL))
                                      (GO G191)))
                                   (SEQ
                                    (EXIT
                                     (COND
                                       ((QEQCAR
                                         (SPADCALL
                                          (SPADCALL |e|
                                           (|getShellEntry| $ 11))
                                          (|getShellEntry| $ 13))
                                         1)
                                        (PROGN
                                          (LETT #1#
                                           (|error|
                                            "cannot find a variable to evaluate")
                                           |POLYCAT-;eval;SLS;1|)
                                          (GO #1#))))))
                                   (LETT #0# (CDR #0#)
                                    |POLYCAT-;eval;SLS;1|)
                                   (GO G190) G191 (EXIT NIL)))
                        #1# (EXIT #1#))
                   (LETT |lvar|
                         (PROGN
                           (LETT #2# NIL |POLYCAT-;eval;SLS;1|)
                           (SEQ (LETT |e| NIL |POLYCAT-;eval;SLS;1|)
                                (LETT #3# |l| |POLYCAT-;eval;SLS;1|)
                                G190
                                (COND
                                  ((OR (ATOM #3#)
                                    (PROGN
                                      (LETT |e| (CAR #3#)
                                       |POLYCAT-;eval;SLS;1|)
                                      NIL))
                                   (GO G191)))
                                (SEQ (EXIT
                                      (LETT #2#
                                       (CONS
                                        (SPADCALL
                                         (SPADCALL |e|
                                          (|getShellEntry| $ 11))
                                         (|getShellEntry| $ 14))
                                        #2#)
                                       |POLYCAT-;eval;SLS;1|)))
                                (LETT #3# (CDR #3#)
                                      |POLYCAT-;eval;SLS;1|)
                                (GO G190) G191 (EXIT (NREVERSE0 #2#))))
                         |POLYCAT-;eval;SLS;1|)
                   (EXIT (SPADCALL |p| |lvar|
                             (PROGN
                               (LETT #4# NIL |POLYCAT-;eval;SLS;1|)
                               (SEQ (LETT |e| NIL
                                     |POLYCAT-;eval;SLS;1|)
                                    (LETT #5# |l|
                                     |POLYCAT-;eval;SLS;1|)
                                    G190
                                    (COND
                                      ((OR (ATOM #5#)
                                        (PROGN
                                          (LETT |e| (CAR #5#)
                                           |POLYCAT-;eval;SLS;1|)
                                          NIL))
                                       (GO G191)))
                                    (SEQ
                                     (EXIT
                                      (LETT #4#
                                       (CONS
                                        (SPADCALL |e|
                                         (|getShellEntry| $ 15))
                                        #4#)
                                       |POLYCAT-;eval;SLS;1|)))
                                    (LETT #5# (CDR #5#)
                                     |POLYCAT-;eval;SLS;1|)
                                    (GO G190) G191
                                    (EXIT (NREVERSE0 #4#))))
                             (|getShellEntry| $ 18)))))))))) 

(DEFUN |POLYCAT-;monomials;SL;2| (|p| $)
  (PROG (|ml|)
    (RETURN
      (SEQ (LETT |ml| NIL |POLYCAT-;monomials;SL;2|)
           (SEQ G190
                (COND
                  ((NULL (SPADCALL |p| (|spadConstant| $ 22)
                             (|getShellEntry| $ 25)))
                   (GO G191)))
                (SEQ (LETT |ml|
                           (CONS (SPADCALL |p| (|getShellEntry| $ 26))
                                 |ml|)
                           |POLYCAT-;monomials;SL;2|)
                     (EXIT (LETT |p|
                                 (SPADCALL |p| (|getShellEntry| $ 27))
                                 |POLYCAT-;monomials;SL;2|)))
                NIL (GO G190) G191 (EXIT NIL))
           (EXIT (REVERSE |ml|)))))) 

(DEFUN |POLYCAT-;isPlus;SU;3| (|p| $)
  (PROG (|l|)
    (RETURN
      (COND
        ((NULL (CDR (LETT |l| (SPADCALL |p| (|getShellEntry| $ 29))
                          |POLYCAT-;isPlus;SU;3|)))
         (CONS 1 "failed"))
        ('T (CONS 0 |l|)))))) 

(DEFUN |POLYCAT-;isTimes;SU;4| (|p| $)
  (PROG (|lv| #0=#:G1691 |v| #1=#:G1692 |l| |r|)
    (RETURN
      (SEQ (COND
             ((OR (NULL (LETT |lv|
                              (SPADCALL |p| (|getShellEntry| $ 32))
                              |POLYCAT-;isTimes;SU;4|))
                  (NULL (SPADCALL |p| (|getShellEntry| $ 33))))
              (CONS 1 "failed"))
             ('T
              (SEQ (LETT |l|
                         (PROGN
                           (LETT #0# NIL |POLYCAT-;isTimes;SU;4|)
                           (SEQ (LETT |v| NIL |POLYCAT-;isTimes;SU;4|)
                                (LETT #1# |lv| |POLYCAT-;isTimes;SU;4|)
                                G190
                                (COND
                                  ((OR (ATOM #1#)
                                    (PROGN
                                      (LETT |v| (CAR #1#)
                                       |POLYCAT-;isTimes;SU;4|)
                                      NIL))
                                   (GO G191)))
                                (SEQ (EXIT
                                      (LETT #0#
                                       (CONS
                                        (SPADCALL (|spadConstant| $ 34)
                                         |v|
                                         (SPADCALL |p| |v|
                                          (|getShellEntry| $ 37))
                                         (|getShellEntry| $ 38))
                                        #0#)
                                       |POLYCAT-;isTimes;SU;4|)))
                                (LETT #1# (CDR #1#)
                                      |POLYCAT-;isTimes;SU;4|)
                                (GO G190) G191 (EXIT (NREVERSE0 #0#))))
                         |POLYCAT-;isTimes;SU;4|)
                   (LETT |r| (SPADCALL |p| (|getShellEntry| $ 39))
                         |POLYCAT-;isTimes;SU;4|)
                   (EXIT (COND
                           ((SPADCALL |r| (|spadConstant| $ 35)
                                (|getShellEntry| $ 40))
                            (COND
                              ((NULL (CDR |lv|)) (CONS 1 "failed"))
                              ('T (CONS 0 |l|))))
                           ('T
                            (CONS 0
                                  (CONS (SPADCALL |r|
                                         (|getShellEntry| $ 41))
                                        |l|)))))))))))) 

(DEFUN |POLYCAT-;isExpt;SU;5| (|p| $)
  (PROG (|u| |d|)
    (RETURN
      (SEQ (LETT |u| (SPADCALL |p| (|getShellEntry| $ 43))
                 |POLYCAT-;isExpt;SU;5|)
           (EXIT (COND
                   ((OR (QEQCAR |u| 1)
                        (NULL (SPADCALL |p|
                                  (SPADCALL (|spadConstant| $ 34)
                                      (QCDR |u|)
                                      (LETT |d|
                                       (SPADCALL |p| (QCDR |u|)
                                        (|getShellEntry| $ 37))
                                       |POLYCAT-;isExpt;SU;5|)
                                      (|getShellEntry| $ 38))
                                  (|getShellEntry| $ 44))))
                    (CONS 1 "failed"))
                   ('T (CONS 0 (CONS (QCDR |u|) |d|))))))))) 

(DEFUN |POLYCAT-;coefficient;SVarSetNniS;6| (|p| |v| |n| $)
  (SPADCALL (SPADCALL |p| |v| (|getShellEntry| $ 49)) |n|
      (|getShellEntry| $ 51))) 

(DEFUN |POLYCAT-;coefficient;SLLS;7| (|p| |lv| |ln| $)
  (COND
    ((NULL |lv|)
     (COND
       ((NULL |ln|) |p|)
       ('T (|error| "mismatched lists in coefficient"))))
    ((NULL |ln|) (|error| "mismatched lists in coefficient"))
    ('T
     (SPADCALL
         (SPADCALL
             (SPADCALL |p| (|SPADfirst| |lv|) (|getShellEntry| $ 49))
             (|SPADfirst| |ln|) (|getShellEntry| $ 51))
         (CDR |lv|) (CDR |ln|) (|getShellEntry| $ 54))))) 

(DEFUN |POLYCAT-;monomial;SLLS;8| (|p| |lv| |ln| $)
  (COND
    ((NULL |lv|)
     (COND
       ((NULL |ln|) |p|)
       ('T (|error| "mismatched lists in monomial"))))
    ((NULL |ln|) (|error| "mismatched lists in monomial"))
    ('T
     (SPADCALL
         (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |ln|)
             (|getShellEntry| $ 38))
         (CDR |lv|) (CDR |ln|) (|getShellEntry| $ 56))))) 

(DEFUN |POLYCAT-;retract;SVarSet;9| (|p| $)
  (PROG (#0=#:G1477 |q|)
    (RETURN
      (SEQ (LETT |q|
                 (PROG2 (LETT #0# (SPADCALL |p| (|getShellEntry| $ 43))
                              |POLYCAT-;retract;SVarSet;9|)
                        (QCDR #0#)
                   (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 9)
                       #0#))
                 |POLYCAT-;retract;SVarSet;9|)
           (EXIT (COND
                   ((SPADCALL (SPADCALL |q| (|getShellEntry| $ 58)) |p|
                        (|getShellEntry| $ 44))
                    |q|)
                   ('T (|error| "Polynomial is not a single variable")))))))) 

(DEFUN |POLYCAT-;retractIfCan;SU;10| (|p| $)
  (PROG (|q| #0=#:G1485)
    (RETURN
      (SEQ (EXIT (SEQ (SEQ (LETT |q|
                                 (SPADCALL |p| (|getShellEntry| $ 43))
                                 |POLYCAT-;retractIfCan;SU;10|)
                           (EXIT (COND
                                   ((QEQCAR |q| 0)
                                    (COND
                                      ((SPADCALL
                                        (SPADCALL (QCDR |q|)
                                         (|getShellEntry| $ 58))
                                        |p| (|getShellEntry| $ 44))
                                       (PROGN
                                         (LETT #0# |q|
                                          |POLYCAT-;retractIfCan;SU;10|)
                                         (GO #0#))))))))
                      (EXIT (CONS 1 "failed"))))
           #0# (EXIT #0#))))) 

(DEFUN |POLYCAT-;mkPrim| (|p| $)
  (SPADCALL (|spadConstant| $ 35) (SPADCALL |p| (|getShellEntry| $ 61))
      (|getShellEntry| $ 62))) 

(DEFUN |POLYCAT-;primitiveMonomials;SL;12| (|p| $)
  (PROG (#0=#:G1693 |q| #1=#:G1694)
    (RETURN
      (SEQ (PROGN
             (LETT #0# NIL |POLYCAT-;primitiveMonomials;SL;12|)
             (SEQ (LETT |q| NIL |POLYCAT-;primitiveMonomials;SL;12|)
                  (LETT #1# (SPADCALL |p| (|getShellEntry| $ 29))
                        |POLYCAT-;primitiveMonomials;SL;12|)
                  G190
                  (COND
                    ((OR (ATOM #1#)
                         (PROGN
                           (LETT |q| (CAR #1#)
                                 |POLYCAT-;primitiveMonomials;SL;12|)
                           NIL))
                     (GO G191)))
                  (SEQ (EXIT (LETT #0#
                                   (CONS (|POLYCAT-;mkPrim| |q| $) #0#)
                                   |POLYCAT-;primitiveMonomials;SL;12|)))
                  (LETT #1# (CDR #1#)
                        |POLYCAT-;primitiveMonomials;SL;12|)
                  (GO G190) G191 (EXIT (NREVERSE0 #0#)))))))) 

(DEFUN |POLYCAT-;totalDegree;SNni;13| (|p| $)
  (PROG (#0=#:G1491 |d| |u|)
    (RETURN
      (SEQ (COND
             ((SPADCALL |p| (|getShellEntry| $ 64)) 0)
             ('T
              (SEQ (LETT |u|
                         (SPADCALL |p|
                             (PROG2 (LETT #0#
                                     (SPADCALL |p|
                                      (|getShellEntry| $ 43))
                                     |POLYCAT-;totalDegree;SNni;13|)
                                    (QCDR #0#)
                               (|check-union| (QEQCAR #0# 0)
                                   (|getShellEntry| $ 9) #0#))
                             (|getShellEntry| $ 49))
                         |POLYCAT-;totalDegree;SNni;13|)
                   (LETT |d| 0 |POLYCAT-;totalDegree;SNni;13|)
                   (SEQ G190
                        (COND
                          ((NULL (SPADCALL |u| (|spadConstant| $ 65)
                                     (|getShellEntry| $ 66)))
                           (GO G191)))
                        (SEQ (LETT |d|
                                   (MAX |d|
                                    (+
                                     (SPADCALL |u|
                                      (|getShellEntry| $ 67))
                                     (SPADCALL
                                      (SPADCALL |u|
                                       (|getShellEntry| $ 68))
                                      (|getShellEntry| $ 69))))
                                   |POLYCAT-;totalDegree;SNni;13|)
                             (EXIT (LETT |u|
                                    (SPADCALL |u|
                                     (|getShellEntry| $ 70))
                                    |POLYCAT-;totalDegree;SNni;13|)))
                        NIL (GO G190) G191 (EXIT NIL))
                   (EXIT |d|)))))))) 

(DEFUN |POLYCAT-;totalDegree;SLNni;14| (|p| |lv| $)
  (PROG (#0=#:G1499 |v| |w| |d| |u|)
    (RETURN
      (SEQ (COND
             ((SPADCALL |p| (|getShellEntry| $ 64)) 0)
             ('T
              (SEQ (LETT |u|
                         (SPADCALL |p|
                             (LETT |v|
                                   (PROG2
                                    (LETT #0#
                                     (SPADCALL |p|
                                      (|getShellEntry| $ 43))
                                     |POLYCAT-;totalDegree;SLNni;14|)
                                    (QCDR #0#)
                                     (|check-union| (QEQCAR #0# 0)
                                      (|getShellEntry| $ 9) #0#))
                                   |POLYCAT-;totalDegree;SLNni;14|)
                             (|getShellEntry| $ 49))
                         |POLYCAT-;totalDegree;SLNni;14|)
                   (LETT |d| 0 |POLYCAT-;totalDegree;SLNni;14|)
                   (LETT |w| 0 |POLYCAT-;totalDegree;SLNni;14|)
                   (COND
                     ((SPADCALL |v| |lv| (|getShellEntry| $ 72))
                      (LETT |w| 1 |POLYCAT-;totalDegree;SLNni;14|)))
                   (SEQ G190
                        (COND
                          ((NULL (SPADCALL |u| (|spadConstant| $ 65)
                                     (|getShellEntry| $ 66)))
                           (GO G191)))
                        (SEQ (LETT |d|
                                   (MAX |d|
                                    (+
                                     (* |w|
                                      (SPADCALL |u|
                                       (|getShellEntry| $ 67)))
                                     (SPADCALL
                                      (SPADCALL |u|
                                       (|getShellEntry| $ 68))
                                      |lv| (|getShellEntry| $ 73))))
                                   |POLYCAT-;totalDegree;SLNni;14|)
                             (EXIT (LETT |u|
                                    (SPADCALL |u|
                                     (|getShellEntry| $ 70))
                                    |POLYCAT-;totalDegree;SLNni;14|)))
                        NIL (GO G190) G191 (EXIT NIL))
                   (EXIT |d|)))))))) 

(DEFUN |POLYCAT-;resultant;2SVarSetS;15| (|p1| |p2| |mvar| $)
  (SPADCALL (SPADCALL |p1| |mvar| (|getShellEntry| $ 49))
      (SPADCALL |p2| |mvar| (|getShellEntry| $ 49))
      (|getShellEntry| $ 75))) 

(DEFUN |POLYCAT-;discriminant;SVarSetS;16| (|p| |var| $)
  (SPADCALL (SPADCALL |p| |var| (|getShellEntry| $ 49))
      (|getShellEntry| $ 77))) 

(DEFUN |POLYCAT-;allMonoms| (|l| $)
  (PROG (#0=#:G1695 |p| #1=#:G1696)
    (RETURN
      (SEQ (SPADCALL
               (SPADCALL
                   (PROGN
                     (LETT #0# NIL |POLYCAT-;allMonoms|)
                     (SEQ (LETT |p| NIL |POLYCAT-;allMonoms|)
                          (LETT #1# |l| |POLYCAT-;allMonoms|) G190
                          (COND
                            ((OR (ATOM #1#)
                                 (PROGN
                                   (LETT |p| (CAR #1#)
                                    |POLYCAT-;allMonoms|)
                                   NIL))
                             (GO G191)))
                          (SEQ (EXIT (LETT #0#
                                      (CONS
                                       (SPADCALL |p|
                                        (|getShellEntry| $ 79))
                                       #0#)
                                      |POLYCAT-;allMonoms|)))
                          (LETT #1# (CDR #1#) |POLYCAT-;allMonoms|)
                          (GO G190) G191 (EXIT (NREVERSE0 #0#))))
                   (|getShellEntry| $ 81))
               (|getShellEntry| $ 82)))))) 

(DEFUN |POLYCAT-;P2R| (|p| |b| |n| $)
  (PROG (|w| |bj| #0=#:G1698 |i| #1=#:G1697)
    (RETURN
      (SEQ (LETT |w|
                 (SPADCALL |n| (|spadConstant| $ 23)
                     (|getShellEntry| $ 84))
                 |POLYCAT-;P2R|)
           (SEQ (LETT |bj| NIL |POLYCAT-;P2R|)
                (LETT #0# |b| |POLYCAT-;P2R|)
                (LETT |i| (SPADCALL |w| (|getShellEntry| $ 86))
                      |POLYCAT-;P2R|)
                (LETT #1# (QVSIZE |w|) |POLYCAT-;P2R|) G190
                (COND
                  ((OR (> |i| #1#) (ATOM #0#)
                       (PROGN
                         (LETT |bj| (CAR #0#) |POLYCAT-;P2R|)
                         NIL))
                   (GO G191)))
                (SEQ (EXIT (SPADCALL |w| |i|
                               (SPADCALL |p| |bj|
                                   (|getShellEntry| $ 87))
                               (|getShellEntry| $ 88))))
                (LETT |i|
                      (PROG1 (+ |i| 1)
                        (LETT #0# (CDR #0#) |POLYCAT-;P2R|))
                      |POLYCAT-;P2R|)
                (GO G190) G191 (EXIT NIL))
           (EXIT |w|))))) 

(DEFUN |POLYCAT-;eq2R| (|l| |b| $)
  (PROG (#0=#:G1699 |bj| #1=#:G1700 #2=#:G1701 |p| #3=#:G1702)
    (RETURN
      (SEQ (SPADCALL
               (PROGN
                 (LETT #0# NIL |POLYCAT-;eq2R|)
                 (SEQ (LETT |bj| NIL |POLYCAT-;eq2R|)
                      (LETT #1# |b| |POLYCAT-;eq2R|) G190
                      (COND
                        ((OR (ATOM #1#)
                             (PROGN
                               (LETT |bj| (CAR #1#) |POLYCAT-;eq2R|)
                               NIL))
                         (GO G191)))
                      (SEQ (EXIT (LETT #0#
                                       (CONS
                                        (PROGN
                                          (LETT #2# NIL
                                           |POLYCAT-;eq2R|)
                                          (SEQ
                                           (LETT |p| NIL
                                            |POLYCAT-;eq2R|)
                                           (LETT #3# |l|
                                            |POLYCAT-;eq2R|)
                                           G190
                                           (COND
                                             ((OR (ATOM #3#)
                                               (PROGN
                                                 (LETT |p| (CAR #3#)
                                                  |POLYCAT-;eq2R|)
                                                 NIL))
                                              (GO G191)))
                                           (SEQ
                                            (EXIT
                                             (LETT #2#
                                              (CONS
                                               (SPADCALL |p| |bj|
                                                (|getShellEntry| $ 87))
                                               #2#)
                                              |POLYCAT-;eq2R|)))
                                           (LETT #3# (CDR #3#)
                                            |POLYCAT-;eq2R|)
                                           (GO G190) G191
                                           (EXIT (NREVERSE0 #2#))))
                                        #0#)
                                       |POLYCAT-;eq2R|)))
                      (LETT #1# (CDR #1#) |POLYCAT-;eq2R|) (GO G190)
                      G191 (EXIT (NREVERSE0 #0#))))
               (|getShellEntry| $ 92)))))) 

(DEFUN |POLYCAT-;reducedSystem;MM;20| (|m| $)
  (PROG (#0=#:G1703 |r| #1=#:G1704 |b| #2=#:G1705 |bj| #3=#:G1706 |d|
            |mm| |l|)
    (RETURN
      (SEQ (LETT |l| (SPADCALL |m| (|getShellEntry| $ 95))
                 |POLYCAT-;reducedSystem;MM;20|)
           (LETT |b|
                 (SPADCALL
                     (SPADCALL
                         (PROGN
                           (LETT #0# NIL
                                 |POLYCAT-;reducedSystem;MM;20|)
                           (SEQ (LETT |r| NIL
                                      |POLYCAT-;reducedSystem;MM;20|)
                                (LETT #1# |l|
                                      |POLYCAT-;reducedSystem;MM;20|)
                                G190
                                (COND
                                  ((OR (ATOM #1#)
                                    (PROGN
                                      (LETT |r| (CAR #1#)
                                       |POLYCAT-;reducedSystem;MM;20|)
                                      NIL))
                                   (GO G191)))
                                (SEQ (EXIT
                                      (LETT #0#
                                       (CONS
                                        (|POLYCAT-;allMonoms| |r| $)
                                        #0#)
                                       |POLYCAT-;reducedSystem;MM;20|)))
                                (LETT #1# (CDR #1#)
                                      |POLYCAT-;reducedSystem;MM;20|)
                                (GO G190) G191 (EXIT (NREVERSE0 #0#))))
                         (|getShellEntry| $ 81))
                     (|getShellEntry| $ 82))
                 |POLYCAT-;reducedSystem;MM;20|)
           (LETT |d|
                 (PROGN
                   (LETT #2# NIL |POLYCAT-;reducedSystem;MM;20|)
                   (SEQ (LETT |bj| NIL |POLYCAT-;reducedSystem;MM;20|)
                        (LETT #3# |b| |POLYCAT-;reducedSystem;MM;20|)
                        G190
                        (COND
                          ((OR (ATOM #3#)
                               (PROGN
                                 (LETT |bj| (CAR #3#)
                                       |POLYCAT-;reducedSystem;MM;20|)
                                 NIL))
                           (GO G191)))
                        (SEQ (EXIT (LETT #2#
                                    (CONS
                                     (SPADCALL |bj|
                                      (|getShellEntry| $ 61))
                                     #2#)
                                    |POLYCAT-;reducedSystem;MM;20|)))
                        (LETT #3# (CDR #3#)
                              |POLYCAT-;reducedSystem;MM;20|)
                        (GO G190) G191 (EXIT (NREVERSE0 #2#))))
                 |POLYCAT-;reducedSystem;MM;20|)
           (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $)
                 |POLYCAT-;reducedSystem;MM;20|)
           (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|)
           (SEQ G190
                (COND
                  ((NULL (SPADCALL (NULL |l|) (|getShellEntry| $ 96)))
                   (GO G191)))
                (SEQ (LETT |mm|
                           (SPADCALL |mm|
                               (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
                                   $)
                               (|getShellEntry| $ 97))
                           |POLYCAT-;reducedSystem;MM;20|)
                     (EXIT (LETT |l| (CDR |l|)
                                 |POLYCAT-;reducedSystem;MM;20|)))
                NIL (GO G190) G191 (EXIT NIL))
           (EXIT |mm|))))) 

(DEFUN |POLYCAT-;reducedSystem;MVR;21| (|m| |v| $)
  (PROG (#0=#:G1707 |s| #1=#:G1708 |b| #2=#:G1709 |bj| #3=#:G1710 |d|
            |n| |mm| |w| |l| |r|)
    (RETURN
      (SEQ (LETT |l| (SPADCALL |m| (|getShellEntry| $ 95))
                 |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |r| (SPADCALL |v| (|getShellEntry| $ 101))
                 |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |b|
                 (SPADCALL
                     (SPADCALL (|POLYCAT-;allMonoms| |r| $)
                         (SPADCALL
                             (PROGN
                               (LETT #0# NIL
                                     |POLYCAT-;reducedSystem;MVR;21|)
                               (SEQ (LETT |s| NIL
                                     |POLYCAT-;reducedSystem;MVR;21|)
                                    (LETT #1# |l|
                                     |POLYCAT-;reducedSystem;MVR;21|)
                                    G190
                                    (COND
                                      ((OR (ATOM #1#)
                                        (PROGN
                                          (LETT |s| (CAR #1#)
                                           |POLYCAT-;reducedSystem;MVR;21|)
                                          NIL))
                                       (GO G191)))
                                    (SEQ
                                     (EXIT
                                      (LETT #0#
                                       (CONS
                                        (|POLYCAT-;allMonoms| |s| $)
                                        #0#)
                                       |POLYCAT-;reducedSystem;MVR;21|)))
                                    (LETT #1# (CDR #1#)
                                     |POLYCAT-;reducedSystem;MVR;21|)
                                    (GO G190) G191
                                    (EXIT (NREVERSE0 #0#))))
                             (|getShellEntry| $ 81))
                         (|getShellEntry| $ 102))
                     (|getShellEntry| $ 82))
                 |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |d|
                 (PROGN
                   (LETT #2# NIL |POLYCAT-;reducedSystem;MVR;21|)
                   (SEQ (LETT |bj| NIL |POLYCAT-;reducedSystem;MVR;21|)
                        (LETT #3# |b| |POLYCAT-;reducedSystem;MVR;21|)
                        G190
                        (COND
                          ((OR (ATOM #3#)
                               (PROGN
                                 (LETT |bj| (CAR #3#)
                                       |POLYCAT-;reducedSystem;MVR;21|)
                                 NIL))
                           (GO G191)))
                        (SEQ (EXIT (LETT #2#
                                    (CONS
                                     (SPADCALL |bj|
                                      (|getShellEntry| $ 61))
                                     #2#)
                                    |POLYCAT-;reducedSystem;MVR;21|)))
                        (LETT #3# (CDR #3#)
                              |POLYCAT-;reducedSystem;MVR;21|)
                        (GO G190) G191 (EXIT (NREVERSE0 #2#))))
                 |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |n| (LENGTH |d|) |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $)
                 |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |w| (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| $)
                 |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |r| (CDR |r|) |POLYCAT-;reducedSystem;MVR;21|)
           (SEQ G190
                (COND
                  ((NULL (SPADCALL (NULL |l|) (|getShellEntry| $ 96)))
                   (GO G191)))
                (SEQ (LETT |mm|
                           (SPADCALL |mm|
                               (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
                                   $)
                               (|getShellEntry| $ 97))
                           |POLYCAT-;reducedSystem;MVR;21|)
                     (LETT |w|
                           (SPADCALL |w|
                               (|POLYCAT-;P2R| (|SPADfirst| |r|) |d|
                                   |n| $)
                               (|getShellEntry| $ 103))
                           |POLYCAT-;reducedSystem;MVR;21|)
                     (LETT |l| (CDR |l|)
                           |POLYCAT-;reducedSystem;MVR;21|)
                     (EXIT (LETT |r| (CDR |r|)
                                 |POLYCAT-;reducedSystem;MVR;21|)))
                NIL (GO G190) G191 (EXIT NIL))
           (EXIT (CONS |mm| |w|)))))) 

(DEFUN |POLYCAT-;gcdPolynomial;3Sup;22| (|pp| |qq| $)
  (SPADCALL |pp| |qq| (|getShellEntry| $ 108))) 

(DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| $)
  (SPADCALL |lpp| |pp| (|getShellEntry| $ 113))) 

(DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| $)
  (SPADCALL |pp| (|getShellEntry| $ 118))) 

(DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| $)
  (SPADCALL |pp| (|getShellEntry| $ 121))) 

(DEFUN |POLYCAT-;factor;SF;26| (|p| $)
  (PROG (|v| |ansR| #0=#:G1711 |w| #1=#:G1712 |up| |ansSUP| #2=#:G1713
             |ww| #3=#:G1714)
    (RETURN
      (SEQ (LETT |v| (SPADCALL |p| (|getShellEntry| $ 43))
                 |POLYCAT-;factor;SF;26|)
           (EXIT (COND
                   ((QEQCAR |v| 1)
                    (SEQ (LETT |ansR|
                               (SPADCALL
                                   (SPADCALL |p|
                                    (|getShellEntry| $ 39))
                                   (|getShellEntry| $ 124))
                               |POLYCAT-;factor;SF;26|)
                         (EXIT (SPADCALL
                                   (SPADCALL
                                    (SPADCALL |ansR|
                                     (|getShellEntry| $ 126))
                                    (|getShellEntry| $ 41))
                                   (PROGN
                                     (LETT #0# NIL
                                      |POLYCAT-;factor;SF;26|)
                                     (SEQ
                                      (LETT |w| NIL
                                       |POLYCAT-;factor;SF;26|)
                                      (LETT #1#
                                       (SPADCALL |ansR|
                                        (|getShellEntry| $ 130))
                                       |POLYCAT-;factor;SF;26|)
                                      G190
                                      (COND
                                        ((OR (ATOM #1#)
                                          (PROGN
                                            (LETT |w| (CAR #1#)
                                             |POLYCAT-;factor;SF;26|)
                                            NIL))
                                         (GO G191)))
                                      (SEQ
                                       (EXIT
                                        (LETT #0#
                                         (CONS
                                          (VECTOR (QVELT |w| 0)
                                           (SPADCALL (QVELT |w| 1)
                                            (|getShellEntry| $ 41))
                                           (QVELT |w| 2))
                                          #0#)
                                         |POLYCAT-;factor;SF;26|)))
                                      (LETT #1# (CDR #1#)
                                       |POLYCAT-;factor;SF;26|)
                                      (GO G190) G191
                                      (EXIT (NREVERSE0 #0#))))
                                   (|getShellEntry| $ 134)))))
                   ('T
                    (SEQ (LETT |up|
                               (SPADCALL |p| (QCDR |v|)
                                   (|getShellEntry| $ 49))
                               |POLYCAT-;factor;SF;26|)
                         (LETT |ansSUP|
                               (SPADCALL |up| (|getShellEntry| $ 118))
                               |POLYCAT-;factor;SF;26|)
                         (EXIT (SPADCALL
                                   (SPADCALL
                                    (SPADCALL |ansSUP|
                                     (|getShellEntry| $ 135))
                                    (QCDR |v|) (|getShellEntry| $ 136))
                                   (PROGN
                                     (LETT #2# NIL
                                      |POLYCAT-;factor;SF;26|)
                                     (SEQ
                                      (LETT |ww| NIL
                                       |POLYCAT-;factor;SF;26|)
                                      (LETT #3#
                                       (SPADCALL |ansSUP|
                                        (|getShellEntry| $ 139))
                                       |POLYCAT-;factor;SF;26|)
                                      G190
                                      (COND
                                        ((OR (ATOM #3#)
                                          (PROGN
                                            (LETT |ww| (CAR #3#)
                                             |POLYCAT-;factor;SF;26|)
                                            NIL))
                                         (GO G191)))
                                      (SEQ
                                       (EXIT
                                        (LETT #2#
                                         (CONS
                                          (VECTOR (QVELT |ww| 0)
                                           (SPADCALL (QVELT |ww| 1)
                                            (QCDR |v|)
                                            (|getShellEntry| $ 136))
                                           (QVELT |ww| 2))
                                          #2#)
                                         |POLYCAT-;factor;SF;26|)))
                                      (LETT #3# (CDR #3#)
                                       |POLYCAT-;factor;SF;26|)
                                      (GO G190) G191
                                      (EXIT (NREVERSE0 #2#))))
                                   (|getShellEntry| $ 134))))))))))) 

(DEFUN |POLYCAT-;conditionP;MU;27| (|mat| $)
  (PROG (|ll| #0=#:G1715 |z| #1=#:G1716 |ch| |l| #2=#:G1717 #3=#:G1718
              #4=#:G1580 #5=#:G1578 #6=#:G1579 #7=#:G1719 |vars| |degs|
              #8=#:G1720 |d| #9=#:G1721 |nd| #10=#:G1607 #11=#:G1587
              |deg1| |redmons| #12=#:G1722 |v| #13=#:G1724 |u|
              #14=#:G1723 |llR| |monslist| |ans| #15=#:G1725
              #16=#:G1726 |mons| #17=#:G1727 |m| #18=#:G1728 |i|
              #19=#:G1603 #20=#:G1601 #21=#:G1602)
    (RETURN
      (SEQ (EXIT (SEQ (LETT |ll|
                            (SPADCALL
                                (SPADCALL |mat|
                                    (|getShellEntry| $ 141))
                                (|getShellEntry| $ 95))
                            |POLYCAT-;conditionP;MU;27|)
                      (LETT |llR|
                            (PROGN
                              (LETT #0# NIL
                                    |POLYCAT-;conditionP;MU;27|)
                              (SEQ (LETT |z| NIL
                                    |POLYCAT-;conditionP;MU;27|)
                                   (LETT #1# (|SPADfirst| |ll|)
                                    |POLYCAT-;conditionP;MU;27|)
                                   G190
                                   (COND
                                     ((OR (ATOM #1#)
                                       (PROGN
                                         (LETT |z| (CAR #1#)
                                          |POLYCAT-;conditionP;MU;27|)
                                         NIL))
                                      (GO G191)))
                                   (SEQ
                                    (EXIT
                                     (LETT #0# (CONS NIL #0#)
                                      |POLYCAT-;conditionP;MU;27|)))
                                   (LETT #1# (CDR #1#)
                                    |POLYCAT-;conditionP;MU;27|)
                                   (GO G190) G191
                                   (EXIT (NREVERSE0 #0#))))
                            |POLYCAT-;conditionP;MU;27|)
                      (LETT |monslist| NIL |POLYCAT-;conditionP;MU;27|)
                      (LETT |ch| (SPADCALL (|getShellEntry| $ 142))
                            |POLYCAT-;conditionP;MU;27|)
                      (SEQ (LETT |l| NIL |POLYCAT-;conditionP;MU;27|)
                           (LETT #2# |ll| |POLYCAT-;conditionP;MU;27|)
                           G190
                           (COND
                             ((OR (ATOM #2#)
                                  (PROGN
                                    (LETT |l| (CAR #2#)
                                     |POLYCAT-;conditionP;MU;27|)
                                    NIL))
                              (GO G191)))
                           (SEQ (LETT |mons|
                                      (PROGN
                                        (LETT #6# NIL
                                         |POLYCAT-;conditionP;MU;27|)
                                        (SEQ
                                         (LETT |u| NIL
                                          |POLYCAT-;conditionP;MU;27|)
                                         (LETT #3# |l|
                                          |POLYCAT-;conditionP;MU;27|)
                                         G190
                                         (COND
                                           ((OR (ATOM #3#)
                                             (PROGN
                                               (LETT |u| (CAR #3#)
                                                |POLYCAT-;conditionP;MU;27|)
                                               NIL))
                                            (GO G191)))
                                         (SEQ
                                          (EXIT
                                           (PROGN
                                             (LETT #4#
                                              (SPADCALL |u|
                                               (|getShellEntry| $ 79))
                                              |POLYCAT-;conditionP;MU;27|)
                                             (COND
                                               (#6#
                                                (LETT #5#
                                                 (SPADCALL #5# #4#
                                                  (|getShellEntry| $
                                                   143))
                                                 |POLYCAT-;conditionP;MU;27|))
                                               ('T
                                                (PROGN
                                                  (LETT #5# #4#
                                                   |POLYCAT-;conditionP;MU;27|)
                                                  (LETT #6# 'T
                                                   |POLYCAT-;conditionP;MU;27|)))))))
                                         (LETT #3# (CDR #3#)
                                          |POLYCAT-;conditionP;MU;27|)
                                         (GO G190) G191 (EXIT NIL))
                                        (COND
                                          (#6# #5#)
                                          ('T
                                           (|IdentityError|
                                            '|setUnion|))))
                                      |POLYCAT-;conditionP;MU;27|)
                                (LETT |redmons| NIL
                                      |POLYCAT-;conditionP;MU;27|)
                                (SEQ (LETT |m| NIL
                                      |POLYCAT-;conditionP;MU;27|)
                                     (LETT #7# |mons|
                                      |POLYCAT-;conditionP;MU;27|)
                                     G190
                                     (COND
                                       ((OR (ATOM #7#)
                                         (PROGN
                                           (LETT |m| (CAR #7#)
                                            |POLYCAT-;conditionP;MU;27|)
                                           NIL))
                                        (GO G191)))
                                     (SEQ
                                      (LETT |vars|
                                       (SPADCALL |m|
                                        (|getShellEntry| $ 32))
                                       |POLYCAT-;conditionP;MU;27|)
                                      (LETT |degs|
                                       (SPADCALL |m| |vars|
                                        (|getShellEntry| $ 144))
                                       |POLYCAT-;conditionP;MU;27|)
                                      (LETT |deg1|
                                       (PROGN
                                         (LETT #8# NIL
                                          |POLYCAT-;conditionP;MU;27|)
                                         (SEQ
                                          (LETT |d| NIL
                                           |POLYCAT-;conditionP;MU;27|)
                                          (LETT #9# |degs|
                                           |POLYCAT-;conditionP;MU;27|)
                                          G190
                                          (COND
                                            ((OR (ATOM #9#)
                                              (PROGN
                                                (LETT |d| (CAR #9#)
                                                 |POLYCAT-;conditionP;MU;27|)
                                                NIL))
                                             (GO G191)))
                                          (SEQ
                                           (EXIT
                                            (LETT #8#
                                             (CONS
                                              (SEQ
                                               (LETT |nd|
                                                (SPADCALL |d| |ch|
                                                 (|getShellEntry| $
                                                  146))
                                                |POLYCAT-;conditionP;MU;27|)
                                               (EXIT
                                                (COND
                                                  ((QEQCAR |nd| 1)
                                                   (PROGN
                                                     (LETT #10#
                                                      (CONS 1 "failed")
                                                      |POLYCAT-;conditionP;MU;27|)
                                                     (GO #10#)))
                                                  ('T
                                                   (PROG1
                                                    (LETT #11#
                                                     (QCDR |nd|)
                                                     |POLYCAT-;conditionP;MU;27|)
                                                     (|check-subtype|
                                                      (>= #11# 0)
                                                      '(|NonNegativeInteger|)
                                                      #11#))))))
                                              #8#)
                                             |POLYCAT-;conditionP;MU;27|)))
                                          (LETT #9# (CDR #9#)
                                           |POLYCAT-;conditionP;MU;27|)
                                          (GO G190) G191
                                          (EXIT (NREVERSE0 #8#))))
                                       |POLYCAT-;conditionP;MU;27|)
                                      (LETT |redmons|
                                       (CONS
                                        (SPADCALL (|spadConstant| $ 34)
                                         |vars| |deg1|
                                         (|getShellEntry| $ 56))
                                        |redmons|)
                                       |POLYCAT-;conditionP;MU;27|)
                                      (EXIT
                                       (LETT |llR|
                                        (PROGN
                                          (LETT #12# NIL
                                           |POLYCAT-;conditionP;MU;27|)
                                          (SEQ
                                           (LETT |v| NIL
                                            |POLYCAT-;conditionP;MU;27|)
                                           (LETT #13# |llR|
                                            |POLYCAT-;conditionP;MU;27|)
                                           (LETT |u| NIL
                                            |POLYCAT-;conditionP;MU;27|)
                                           (LETT #14# |l|
                                            |POLYCAT-;conditionP;MU;27|)
                                           G190
                                           (COND
                                             ((OR (ATOM #14#)
                                               (PROGN
                                                 (LETT |u| (CAR #14#)
                                                  |POLYCAT-;conditionP;MU;27|)
                                                 NIL)
                                               (ATOM #13#)
                                               (PROGN
                                                 (LETT |v| (CAR #13#)
                                                  |POLYCAT-;conditionP;MU;27|)
                                                 NIL))
                                              (GO G191)))
                                           (SEQ
                                            (EXIT
                                             (LETT #12#
                                              (CONS
                                               (CONS
                                                (SPADCALL
                                                 (SPADCALL |u| |vars|
                                                  |degs|
                                                  (|getShellEntry| $
                                                   54))
                                                 (|getShellEntry| $
                                                  147))
                                                |v|)
                                               #12#)
                                              |POLYCAT-;conditionP;MU;27|)))
                                           (LETT #14#
                                            (PROG1 (CDR #14#)
                                              (LETT #13# (CDR #13#)
                                               |POLYCAT-;conditionP;MU;27|))
                                            |POLYCAT-;conditionP;MU;27|)
                                           (GO G190) G191
                                           (EXIT (NREVERSE0 #12#))))
                                        |POLYCAT-;conditionP;MU;27|)))
                                     (LETT #7# (CDR #7#)
                                      |POLYCAT-;conditionP;MU;27|)
                                     (GO G190) G191 (EXIT NIL))
                                (EXIT (LETT |monslist|
                                       (CONS |redmons| |monslist|)
                                       |POLYCAT-;conditionP;MU;27|)))
                           (LETT #2# (CDR #2#)
                                 |POLYCAT-;conditionP;MU;27|)
                           (GO G190) G191 (EXIT NIL))
                      (LETT |ans|
                            (SPADCALL
                                (SPADCALL
                                    (SPADCALL |llR|
                                     (|getShellEntry| $ 92))
                                    (|getShellEntry| $ 148))
                                (|getShellEntry| $ 150))
                            |POLYCAT-;conditionP;MU;27|)
                      (EXIT (COND
                              ((QEQCAR |ans| 1) (CONS 1 "failed"))
                              ('T
                               (SEQ (LETT |i| 0
                                     |POLYCAT-;conditionP;MU;27|)
                                    (EXIT
                                     (CONS 0
                                      (PRIMVEC2ARR
                                       (PROGN
                                         (LETT #15#
                                          (GETREFV (SIZE |monslist|))
                                          |POLYCAT-;conditionP;MU;27|)
                                         (SEQ
                                          (LETT #16# 0
                                           |POLYCAT-;conditionP;MU;27|)
                                          (LETT |mons| NIL
                                           |POLYCAT-;conditionP;MU;27|)
                                          (LETT #17# |monslist|
                                           |POLYCAT-;conditionP;MU;27|)
                                          G190
                                          (COND
                                            ((OR (ATOM #17#)
                                              (PROGN
                                                (LETT |mons| (CAR #17#)
                                                 |POLYCAT-;conditionP;MU;27|)
                                                NIL))
                                             (GO G191)))
                                          (SEQ
                                           (EXIT
                                            (SETELT #15# #16#
                                             (PROGN
                                               (LETT #21# NIL
                                                |POLYCAT-;conditionP;MU;27|)
                                               (SEQ
                                                (LETT |m| NIL
                                                 |POLYCAT-;conditionP;MU;27|)
                                                (LETT #18# |mons|
                                                 |POLYCAT-;conditionP;MU;27|)
                                                G190
                                                (COND
                                                  ((OR (ATOM #18#)
                                                    (PROGN
                                                      (LETT |m|
                                                       (CAR #18#)
                                                       |POLYCAT-;conditionP;MU;27|)
                                                      NIL))
                                                   (GO G191)))
                                                (SEQ
                                                 (EXIT
                                                  (PROGN
                                                    (LETT #19#
                                                     (SPADCALL |m|
                                                      (SPADCALL
                                                       (SPADCALL
                                                        (QCDR |ans|)
                                                        (LETT |i|
                                                         (+ |i| 1)
                                                         |POLYCAT-;conditionP;MU;27|)
                                                        (|getShellEntry|
                                                         $ 151))
                                                       (|getShellEntry|
                                                        $ 41))
                                                      (|getShellEntry|
                                                       $ 152))
                                                     |POLYCAT-;conditionP;MU;27|)
                                                    (COND
                                                      (#21#
                                                       (LETT #20#
                                                        (SPADCALL #20#
                                                         #19#
                                                         (|getShellEntry|
                                                          $ 153))
                                                        |POLYCAT-;conditionP;MU;27|))
                                                      ('T
                                                       (PROGN
                                                         (LETT #20#
                                                          #19#
                                                          |POLYCAT-;conditionP;MU;27|)
                                                         (LETT #21# 'T
                                                          |POLYCAT-;conditionP;MU;27|)))))))
                                                (LETT #18# (CDR #18#)
                                                 |POLYCAT-;conditionP;MU;27|)
                                                (GO G190) G191
                                                (EXIT NIL))
                                               (COND
                                                 (#21# #20#)
                                                 ('T
                                                  (|spadConstant| $ 22)))))))
                                          (LETT #17#
                                           (PROG1 (CDR #17#)
                                             (LETT #16# (QSADD1 #16#)
                                              |POLYCAT-;conditionP;MU;27|))
                                           |POLYCAT-;conditionP;MU;27|)
                                          (GO G190) G191 (EXIT NIL))
                                         #15#))))))))))
           #10# (EXIT #10#))))) 

(DEFUN |POLYCAT-;charthRoot;SU;28| (|p| $)
  (PROG (|vars| |ans| |ch|)
    (RETURN
      (SEQ (LETT |vars| (SPADCALL |p| (|getShellEntry| $ 32))
                 |POLYCAT-;charthRoot;SU;28|)
           (EXIT (COND
                   ((NULL |vars|)
                    (SEQ (LETT |ans|
                               (SPADCALL
                                   (SPADCALL |p|
                                    (|getShellEntry| $ 147))
                                   (|getShellEntry| $ 155))
                               |POLYCAT-;charthRoot;SU;28|)
                         (EXIT (COND
                                 ((QEQCAR |ans| 1) (CONS 1 "failed"))
                                 ('T
                                  (CONS 0
                                        (SPADCALL (QCDR |ans|)
                                         (|getShellEntry| $ 41))))))))
                   ('T
                    (SEQ (LETT |ch| (SPADCALL (|getShellEntry| $ 142))
                               |POLYCAT-;charthRoot;SU;28|)
                         (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch|
                                   $)))))))))) 

(DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| $)
  (PROG (|v| |dd| |cp| |d| #0=#:G1628 |ans| |ansx| #1=#:G1635)
    (RETURN
      (SEQ (EXIT (COND
                   ((NULL |vars|)
                    (SEQ (LETT |ans|
                               (SPADCALL
                                   (SPADCALL |p|
                                    (|getShellEntry| $ 147))
                                   (|getShellEntry| $ 155))
                               |POLYCAT-;charthRootlv|)
                         (EXIT (COND
                                 ((QEQCAR |ans| 1) (CONS 1 "failed"))
                                 ('T
                                  (CONS 0
                                        (SPADCALL (QCDR |ans|)
                                         (|getShellEntry| $ 41))))))))
                   ('T
                    (SEQ (LETT |v| (|SPADfirst| |vars|)
                               |POLYCAT-;charthRootlv|)
                         (LETT |vars| (CDR |vars|)
                               |POLYCAT-;charthRootlv|)
                         (LETT |d|
                               (SPADCALL |p| |v|
                                   (|getShellEntry| $ 37))
                               |POLYCAT-;charthRootlv|)
                         (LETT |ans| (|spadConstant| $ 22)
                               |POLYCAT-;charthRootlv|)
                         (SEQ G190 (COND ((NULL (< 0 |d|)) (GO G191)))
                              (SEQ (LETT |dd|
                                    (SPADCALL |d| |ch|
                                     (|getShellEntry| $ 146))
                                    |POLYCAT-;charthRootlv|)
                                   (EXIT
                                    (COND
                                      ((QEQCAR |dd| 1)
                                       (PROGN
                                         (LETT #1# (CONS 1 "failed")
                                          |POLYCAT-;charthRootlv|)
                                         (GO #1#)))
                                      ('T
                                       (SEQ
                                        (LETT |cp|
                                         (SPADCALL |p| |v| |d|
                                          (|getShellEntry| $ 158))
                                         |POLYCAT-;charthRootlv|)
                                        (LETT |p|
                                         (SPADCALL |p|
                                          (SPADCALL |cp| |v| |d|
                                           (|getShellEntry| $ 38))
                                          (|getShellEntry| $ 159))
                                         |POLYCAT-;charthRootlv|)
                                        (LETT |ansx|
                                         (|POLYCAT-;charthRootlv| |cp|
                                          |vars| |ch| $)
                                         |POLYCAT-;charthRootlv|)
                                        (EXIT
                                         (COND
                                           ((QEQCAR |ansx| 1)
                                            (PROGN
                                              (LETT #1#
                                               (CONS 1 "failed")
                                               |POLYCAT-;charthRootlv|)
                                              (GO #1#)))
                                           ('T
                                            (SEQ
                                             (LETT |d|
                                              (SPADCALL |p| |v|
                                               (|getShellEntry| $ 37))
                                              |POLYCAT-;charthRootlv|)
                                             (EXIT
                                              (LETT |ans|
                                               (SPADCALL |ans|
                                                (SPADCALL (QCDR |ansx|)
                                                 |v|
                                                 (PROG1
                                                  (LETT #0# (QCDR |dd|)
                                                   |POLYCAT-;charthRootlv|)
                                                   (|check-subtype|
                                                    (>= #0# 0)
                                                    '(|NonNegativeInteger|)
                                                    #0#))
                                                 (|getShellEntry| $ 38))
                                                (|getShellEntry| $ 153))
                                               |POLYCAT-;charthRootlv|)))))))))))
                              NIL (GO G190) G191 (EXIT NIL))
                         (LETT |ansx|
                               (|POLYCAT-;charthRootlv| |p| |vars| |ch|
                                   $)
                               |POLYCAT-;charthRootlv|)
                         (EXIT (COND
                                 ((QEQCAR |ansx| 1)
                                  (PROGN
                                    (LETT #1# (CONS 1 "failed")
                                     |POLYCAT-;charthRootlv|)
                                    (GO #1#)))
                                 ('T
                                  (PROGN
                                    (LETT #1#
                                     (CONS 0
                                      (SPADCALL |ans| (QCDR |ansx|)
                                       (|getShellEntry| $ 153)))
                                     |POLYCAT-;charthRootlv|)
                                    (GO #1#)))))))))
           #1# (EXIT #1#))))) 

(DEFUN |POLYCAT-;monicDivide;2SVarSetR;30| (|p1| |p2| |mvar| $)
  (PROG (|result|)
    (RETURN
      (SEQ (LETT |result|
                 (SPADCALL
                     (SPADCALL |p1| |mvar| (|getShellEntry| $ 49))
                     (SPADCALL |p2| |mvar| (|getShellEntry| $ 49))
                     (|getShellEntry| $ 161))
                 |POLYCAT-;monicDivide;2SVarSetR;30|)
           (EXIT (CONS (SPADCALL (QCAR |result|) |mvar|
                           (|getShellEntry| $ 136))
                       (SPADCALL (QCDR |result|) |mvar|
                           (|getShellEntry| $ 136)))))))) 

(DEFUN |POLYCAT-;squareFree;SF;31| (|p| $)
  (SPADCALL |p| (|getShellEntry| $ 164))) 

(DEFUN |POLYCAT-;squareFree;SF;32| (|p| $)
  (SPADCALL |p| (|getShellEntry| $ 167))) 

(DEFUN |POLYCAT-;squareFree;SF;33| (|p| $)
  (SPADCALL |p| (|getShellEntry| $ 167))) 

(DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| $)
  (PROG (|s| |f| #0=#:G1729 #1=#:G1649 #2=#:G1647 #3=#:G1648)
    (RETURN
      (SEQ (SPADCALL
               (SPADCALL
                   (LETT |s| (SPADCALL |p| (|getShellEntry| $ 168))
                         |POLYCAT-;squareFreePart;2S;34|)
                   (|getShellEntry| $ 169))
               (PROGN
                 (LETT #3# NIL |POLYCAT-;squareFreePart;2S;34|)
                 (SEQ (LETT |f| NIL |POLYCAT-;squareFreePart;2S;34|)
                      (LETT #0# (SPADCALL |s| (|getShellEntry| $ 172))
                            |POLYCAT-;squareFreePart;2S;34|)
                      G190
                      (COND
                        ((OR (ATOM #0#)
                             (PROGN
                               (LETT |f| (CAR #0#)
                                     |POLYCAT-;squareFreePart;2S;34|)
                               NIL))
                         (GO G191)))
                      (SEQ (EXIT (PROGN
                                   (LETT #1# (QCAR |f|)
                                    |POLYCAT-;squareFreePart;2S;34|)
                                   (COND
                                     (#3#
                                      (LETT #2#
                                       (SPADCALL #2# #1#
                                        (|getShellEntry| $ 152))
                                       |POLYCAT-;squareFreePart;2S;34|))
                                     ('T
                                      (PROGN
                                        (LETT #2# #1#
                                         |POLYCAT-;squareFreePart;2S;34|)
                                        (LETT #3# 'T
                                         |POLYCAT-;squareFreePart;2S;34|)))))))
                      (LETT #0# (CDR #0#)
                            |POLYCAT-;squareFreePart;2S;34|)
                      (GO G190) G191 (EXIT NIL))
                 (COND (#3# #2#) ('T (|spadConstant| $ 34))))
               (|getShellEntry| $ 152)))))) 

(DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| $)
  (SPADCALL (SPADCALL |p| |v| (|getShellEntry| $ 49))
      (|getShellEntry| $ 174))) 

(DEFUN |POLYCAT-;primitivePart;2S;36| (|p| $)
  (PROG (#0=#:G1653)
    (RETURN
      (QVELT (SPADCALL
                 (PROG2 (LETT #0#
                              (SPADCALL |p|
                                  (SPADCALL |p|
                                      (|getShellEntry| $ 176))
                                  (|getShellEntry| $ 177))
                              |POLYCAT-;primitivePart;2S;36|)
                        (QCDR #0#)
                   (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 6)
                       #0#))
                 (|getShellEntry| $ 179))
             1)))) 

(DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| $)
  (PROG (#0=#:G1659)
    (RETURN
      (QVELT (SPADCALL
                 (PROG2 (LETT #0#
                              (SPADCALL |p|
                                  (SPADCALL |p| |v|
                                      (|getShellEntry| $ 181))
                                  (|getShellEntry| $ 182))
                              |POLYCAT-;primitivePart;SVarSetS;37|)
                        (QCDR #0#)
                   (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 6)
                       #0#))
                 (|getShellEntry| $ 179))
             1)))) 

(DEFUN |POLYCAT-;<;2SB;38| (|p| |q| $)
  (PROG (|dp| |dq|)
    (RETURN
      (SEQ (LETT |dp| (SPADCALL |p| (|getShellEntry| $ 61))
                 |POLYCAT-;<;2SB;38|)
           (LETT |dq| (SPADCALL |q| (|getShellEntry| $ 61))
                 |POLYCAT-;<;2SB;38|)
           (EXIT (COND
                   ((SPADCALL |dp| |dq| (|getShellEntry| $ 184))
                    (SPADCALL (|spadConstant| $ 23)
                        (SPADCALL |q| (|getShellEntry| $ 39))
                        (|getShellEntry| $ 185)))
                   ((SPADCALL |dq| |dp| (|getShellEntry| $ 184))
                    (SPADCALL (SPADCALL |p| (|getShellEntry| $ 39))
                        (|spadConstant| $ 23) (|getShellEntry| $ 185)))
                   ('T
                    (SPADCALL
                        (SPADCALL (SPADCALL |p| |q|
                                      (|getShellEntry| $ 159))
                                  (|getShellEntry| $ 39))
                        (|spadConstant| $ 23) (|getShellEntry| $ 185))))))))) 

(DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| $)
  (SPADCALL |p| |pat| |l| (|getShellEntry| $ 190))) 

(DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| $)
  (SPADCALL |p| |pat| |l| (|getShellEntry| $ 197))) 

(DEFUN |POLYCAT-;convert;SP;41| (|x| $)
  (SPADCALL (ELT $ 200) (ELT $ 201) |x| (|getShellEntry| $ 205))) 

(DEFUN |POLYCAT-;convert;SP;42| (|x| $)
  (SPADCALL (ELT $ 207) (ELT $ 208) |x| (|getShellEntry| $ 212))) 

(DEFUN |POLYCAT-;convert;SIf;43| (|p| $)
  (SPADCALL (ELT $ 215) (ELT $ 216) |p| (|getShellEntry| $ 220))) 

(DEFUN |PolynomialCategory&| (|#1| |#2| |#3| |#4|)
  (PROG (|dv$1| |dv$2| |dv$3| |dv$4| |dv$| $ |pv$|)
    (RETURN
      (PROGN
        (LETT |dv$1| (|devaluate| |#1|) . #0=(|PolynomialCategory&|))
        (LETT |dv$2| (|devaluate| |#2|) . #0#)
        (LETT |dv$3| (|devaluate| |#3|) . #0#)
        (LETT |dv$4| (|devaluate| |#4|) . #0#)
        (LETT |dv$|
              (LIST '|PolynomialCategory&| |dv$1| |dv$2| |dv$3| |dv$4|) . #0#)
        (LETT $ (|newShell| 229) . #0#)
        (|setShellEntry| $ 0 |dv$|)
        (|setShellEntry| $ 3
            (LETT |pv$|
                  (|buildPredVector| 0 0
                      (LIST (|HasCategory| |#2|
                                '(|PolynomialFactorizationExplicit|))
                            (|HasAttribute| |#2|
                                '|canonicalUnitNormal|)
                            (|HasCategory| |#2| '(|GcdDomain|))
                            (|HasCategory| |#2| '(|CommutativeRing|))
                            (|HasCategory| |#4|
                                '(|PatternMatchable| (|Float|)))
                            (|HasCategory| |#2|
                                '(|PatternMatchable| (|Float|)))
                            (|HasCategory| |#4|
                                '(|PatternMatchable| (|Integer|)))
                            (|HasCategory| |#2|
                                '(|PatternMatchable| (|Integer|)))
                            (|HasCategory| |#4|
                                '(|ConvertibleTo|
                                     (|Pattern| (|Float|))))
                            (|HasCategory| |#2|
                                '(|ConvertibleTo|
                                     (|Pattern| (|Float|))))
                            (|HasCategory| |#4|
                                '(|ConvertibleTo|
                                     (|Pattern| (|Integer|))))
                            (|HasCategory| |#2|
                                '(|ConvertibleTo|
                                     (|Pattern| (|Integer|))))
                            (|HasCategory| |#4|
                                '(|ConvertibleTo| (|InputForm|)))
                            (|HasCategory| |#2|
                                '(|ConvertibleTo| (|InputForm|)))
                            (|HasCategory| |#2| '(|OrderedSet|)))) . #0#))
        (|stuffDomainSlots| $)
        (|setShellEntry| $ 6 |#1|)
        (|setShellEntry| $ 7 |#2|)
        (|setShellEntry| $ 8 |#3|)
        (|setShellEntry| $ 9 |#4|)
        (COND
          ((|testBitVector| |pv$| 4)
           (PROGN
             (|setShellEntry| $ 76
                 (CONS (|dispatchFunction|
                           |POLYCAT-;resultant;2SVarSetS;15|)
                       $))
             (|setShellEntry| $ 78
                 (CONS (|dispatchFunction|
                           |POLYCAT-;discriminant;SVarSetS;16|)
                       $)))))
        (COND
          ((|HasCategory| |#2| '(|IntegralDomain|))
           (PROGN
             (|setShellEntry| $ 99
                 (CONS (|dispatchFunction|
                           |POLYCAT-;reducedSystem;MM;20|)
                       $))
             (|setShellEntry| $ 106
                 (CONS (|dispatchFunction|
                           |POLYCAT-;reducedSystem;MVR;21|)
                       $)))))
        (COND
          ((|testBitVector| |pv$| 1)
           (PROGN
             (|setShellEntry| $ 109
                 (CONS (|dispatchFunction|
                           |POLYCAT-;gcdPolynomial;3Sup;22|)
                       $))
             (|setShellEntry| $ 116
                 (CONS (|dispatchFunction|
                           |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|)
                       $))
             (|setShellEntry| $ 120
                 (CONS (|dispatchFunction|
                           |POLYCAT-;factorPolynomial;SupF;24|)
                       $))
             (|setShellEntry| $ 122
                 (CONS (|dispatchFunction|
                           |POLYCAT-;factorSquareFreePolynomial;SupF;25|)
                       $))
             (|setShellEntry| $ 140
                 (CONS (|dispatchFunction| |POLYCAT-;factor;SF;26|) $))
             (COND
               ((|HasCategory| |#2| '(|CharacteristicNonZero|))
                (PROGN
                  (|setShellEntry| $ 154
                      (CONS (|dispatchFunction|
                                |POLYCAT-;conditionP;MU;27|)
                            $))))))))
        (COND
          ((|HasCategory| |#2| '(|CharacteristicNonZero|))
           (PROGN
             (|setShellEntry| $ 156
                 (CONS (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|)
                       $)))))
        (COND
          ((|testBitVector| |pv$| 3)
           (PROGN
             (COND
               ((|HasCategory| |#2| '(|EuclideanDomain|))
                (COND
                  ((|HasCategory| |#2| '(|CharacteristicZero|))
                   (|setShellEntry| $ 165
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;squareFree;SF;31|)
                             $)))
                  ('T
                   (|setShellEntry| $ 165
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;squareFree;SF;32|)
                             $)))))
               ('T
                (|setShellEntry| $ 165
                    (CONS (|dispatchFunction|
                              |POLYCAT-;squareFree;SF;33|)
                          $))))
             (|setShellEntry| $ 173
                 (CONS (|dispatchFunction|
                           |POLYCAT-;squareFreePart;2S;34|)
                       $))
             (|setShellEntry| $ 175
                 (CONS (|dispatchFunction|
                           |POLYCAT-;content;SVarSetS;35|)
                       $))
             (|setShellEntry| $ 180
                 (CONS (|dispatchFunction|
                           |POLYCAT-;primitivePart;2S;36|)
                       $))
             (|setShellEntry| $ 183
                 (CONS (|dispatchFunction|
                           |POLYCAT-;primitivePart;SVarSetS;37|)
                       $)))))
        (COND
          ((|testBitVector| |pv$| 15)
           (PROGN
             (|setShellEntry| $ 186
                 (CONS (|dispatchFunction| |POLYCAT-;<;2SB;38|) $))
             (COND
               ((|testBitVector| |pv$| 8)
                (COND
                  ((|testBitVector| |pv$| 7)
                   (|setShellEntry| $ 192
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;patternMatch;SP2Pmr;39|)
                             $))))))
             (COND
               ((|testBitVector| |pv$| 6)
                (COND
                  ((|testBitVector| |pv$| 5)
                   (|setShellEntry| $ 199
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;patternMatch;SP2Pmr;40|)
                             $)))))))))
        (COND
          ((|testBitVector| |pv$| 12)
           (COND
             ((|testBitVector| |pv$| 11)
              (|setShellEntry| $ 206
                  (CONS (|dispatchFunction| |POLYCAT-;convert;SP;41|)
                        $))))))
        (COND
          ((|testBitVector| |pv$| 10)
           (COND
             ((|testBitVector| |pv$| 9)
              (|setShellEntry| $ 213
                  (CONS (|dispatchFunction| |POLYCAT-;convert;SP;42|)
                        $))))))
        (COND
          ((|testBitVector| |pv$| 14)
           (COND
             ((|testBitVector| |pv$| 13)
              (|setShellEntry| $ 221
                  (CONS (|dispatchFunction| |POLYCAT-;convert;SIf;43|)
                        $))))))
        $)))) 

(MAKEPROP '|PolynomialCategory&| '|infovec|
    (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
             (|local| |#3|) (|local| |#4|) (|Equation| 6) (0 . |lhs|)
             (|Union| 9 '"failed") (5 . |retractIfCan|)
             (10 . |retract|) (15 . |rhs|) (|List| 9) (|List| $)
             (20 . |eval|) (|Equation| $) (|List| 19)
             |POLYCAT-;eval;SLS;1| (27 . |Zero|) (31 . |Zero|)
             (|Boolean|) (35 . ~=) (41 . |leadingMonomial|)
             (46 . |reductum|) |POLYCAT-;monomials;SL;2|
             (51 . |monomials|) (|Union| 17 '"failed")
             |POLYCAT-;isPlus;SU;3| (56 . |variables|)
             (61 . |monomial?|) (66 . |One|) (70 . |One|)
             (|NonNegativeInteger|) (74 . |degree|) (80 . |monomial|)
             (87 . |leadingCoefficient|) (92 . =) (98 . |coerce|)
             |POLYCAT-;isTimes;SU;4| (103 . |mainVariable|) (108 . =)
             (|Record| (|:| |var| 9) (|:| |exponent| 36))
             (|Union| 45 '"failed") |POLYCAT-;isExpt;SU;5|
             (|SparseUnivariatePolynomial| $) (114 . |univariate|)
             (|SparseUnivariatePolynomial| 6) (120 . |coefficient|)
             |POLYCAT-;coefficient;SVarSetNniS;6| (|List| 36)
             (126 . |coefficient|) |POLYCAT-;coefficient;SLLS;7|
             (133 . |monomial|) |POLYCAT-;monomial;SLLS;8|
             (140 . |coerce|) |POLYCAT-;retract;SVarSet;9|
             |POLYCAT-;retractIfCan;SU;10| (145 . |degree|)
             (150 . |monomial|) |POLYCAT-;primitiveMonomials;SL;12|
             (156 . |ground?|) (161 . |Zero|) (165 . ~=)
             (171 . |degree|) (176 . |leadingCoefficient|)
             (181 . |totalDegree|) (186 . |reductum|)
             |POLYCAT-;totalDegree;SNni;13| (191 . |member?|)
             (197 . |totalDegree|) |POLYCAT-;totalDegree;SLNni;14|
             (203 . |resultant|) (209 . |resultant|)
             (216 . |discriminant|) (221 . |discriminant|)
             (227 . |primitiveMonomials|) (|List| 6) (232 . |concat|)
             (237 . |removeDuplicates!|) (|Vector| 7) (242 . |new|)
             (|Integer|) (248 . |minIndex|) (253 . |coefficient|)
             (259 . |qsetelt!|) (|List| 7) (|List| 89) (|Matrix| 7)
             (266 . |matrix|) (|List| 80) (|Matrix| 6)
             (271 . |listOfLists|) (276 . |not|) (281 . |vertConcat|)
             (|Matrix| $) (287 . |reducedSystem|) (|Vector| 6)
             (292 . |entries|) (297 . |concat|) (303 . |concat|)
             (|Record| (|:| |mat| 91) (|:| |vec| 83)) (|Vector| $)
             (309 . |reducedSystem|)
             (|GeneralPolynomialGcdPackage| 8 9 7 6)
             (315 . |gcdPolynomial|) (321 . |gcdPolynomial|)
             (|List| 50) (|Union| 110 '"failed")
             (|PolynomialFactorizationByRecursion| 7 8 9 6)
             (327 . |solveLinearPolynomialEquationByRecursion|)
             (|List| 48) (|Union| 114 '"failed")
             (333 . |solveLinearPolynomialEquation|) (|Factored| 50)
             (339 . |factorByRecursion|) (|Factored| 48)
             (344 . |factorPolynomial|)
             (349 . |factorSquareFreeByRecursion|)
             (354 . |factorSquareFreePolynomial|) (|Factored| $)
             (359 . |factor|) (|Factored| 7) (364 . |unit|)
             (|Union| '"nil" '"sqfr" '"irred" '"prime")
             (|Record| (|:| |flg| 127) (|:| |fctr| 7) (|:| |xpnt| 85))
             (|List| 128) (369 . |factorList|)
             (|Record| (|:| |flg| 127) (|:| |fctr| 6) (|:| |xpnt| 85))
             (|List| 131) (|Factored| 6) (374 . |makeFR|)
             (380 . |unit|) (385 . |multivariate|)
             (|Record| (|:| |flg| 127) (|:| |fctr| 50) (|:| |xpnt| 85))
             (|List| 137) (391 . |factorList|) (396 . |factor|)
             (401 . |transpose|) (406 . |characteristic|)
             (410 . |setUnion|) (416 . |degree|) (|Union| $ '"failed")
             (422 . |exquo|) (428 . |ground|) (433 . |transpose|)
             (|Union| 105 '"failed") (438 . |conditionP|) (443 . |elt|)
             (449 . *) (455 . +) (461 . |conditionP|)
             (466 . |charthRoot|) (471 . |charthRoot|) (476 . |Zero|)
             (480 . |coefficient|) (487 . -)
             (|Record| (|:| |quotient| $) (|:| |remainder| $))
             (493 . |monicDivide|) |POLYCAT-;monicDivide;2SVarSetR;30|
             (|MultivariateSquareFree| 8 9 7 6) (499 . |squareFree|)
             (504 . |squareFree|) (|PolynomialSquareFree| 9 8 7 6)
             (509 . |squareFree|) (514 . |squareFree|) (519 . |unit|)
             (|Record| (|:| |factor| 6) (|:| |exponent| 85))
             (|List| 170) (524 . |factors|) (529 . |squareFreePart|)
             (534 . |content|) (539 . |content|) (545 . |content|)
             (550 . |exquo|)
             (|Record| (|:| |unit| $) (|:| |canonical| $)
                 (|:| |associate| $))
             (556 . |unitNormal|) (561 . |primitivePart|)
             (566 . |content|) (572 . |exquo|) (578 . |primitivePart|)
             (584 . <) (590 . <) (596 . <) (|PatternMatchResult| 85 6)
             (|Pattern| 85)
             (|PatternMatchPolynomialCategory| 85 8 9 7 6)
             (602 . |patternMatch|) (|PatternMatchResult| 85 $)
             (609 . |patternMatch|) (|Float|)
             (|PatternMatchResult| 193 6) (|Pattern| 193)
             (|PatternMatchPolynomialCategory| 193 8 9 7 6)
             (616 . |patternMatch|) (|PatternMatchResult| 193 $)
             (623 . |patternMatch|) (630 . |convert|) (635 . |convert|)
             (|Mapping| 188 9) (|Mapping| 188 7)
             (|PolynomialCategoryLifting| 8 9 7 6 188) (640 . |map|)
             (647 . |convert|) (652 . |convert|) (657 . |convert|)
             (|Mapping| 195 9) (|Mapping| 195 7)
             (|PolynomialCategoryLifting| 8 9 7 6 195) (662 . |map|)
             (669 . |convert|) (|InputForm|) (674 . |convert|)
             (679 . |convert|) (|Mapping| 214 9) (|Mapping| 214 7)
             (|PolynomialCategoryLifting| 8 9 7 6 214) (684 . |map|)
             (691 . |convert|) (|Matrix| 85) (|Vector| 85)
             (|Record| (|:| |mat| 222) (|:| |vec| 223))
             (|Union| 85 '"failed") (|Fraction| 85)
             (|Union| 226 '"failed") (|Union| 7 '"failed"))
          '#(|totalDegree| 696 |squareFreePart| 707 |squareFree| 712
             |solveLinearPolynomialEquation| 717 |retractIfCan| 723
             |retract| 728 |resultant| 733 |reducedSystem| 740
             |primitivePart| 751 |primitiveMonomials| 762
             |patternMatch| 767 |monomials| 781 |monomial| 786
             |monicDivide| 793 |isTimes| 800 |isPlus| 805 |isExpt| 810
             |gcdPolynomial| 815 |factorSquareFreePolynomial| 821
             |factorPolynomial| 826 |factor| 831 |eval| 836
             |discriminant| 842 |convert| 848 |content| 863
             |conditionP| 869 |coefficient| 874 |charthRoot| 888 < 893)
          'NIL
          (CONS (|makeByteWordVec2| 1 'NIL)
                (CONS '#()
                      (CONS '#()
                            (|makeByteWordVec2| 221
                                '(1 10 6 0 11 1 6 12 0 13 1 6 9 0 14 1
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          '|lookupComplete|)) 

(SETQ |$CategoryFrame|
      (|put| '|PolynomialCategory&| '|isFunctor|
             '(((|gcdPolynomial|
                    ((|SparseUnivariatePolynomial| $)
                     (|SparseUnivariatePolynomial| $)
                     (|SparseUnivariatePolynomial| $)))
                T (ELT $ 109))
               ((|squareFree| ((|Factored| $) $)) T (ELT $ 165))
               ((|squareFreePart| ($ $)) T (ELT $ 173))
               ((|charthRoot| ((|Union| $ "failed") $)) T (ELT $ 156))
               ((< ((|Boolean|) $ $)) T (ELT $ 186))
               ((|convert| ((|InputForm|) $)) T (ELT $ 221))
               ((|convert| ((|Pattern| (|Integer|)) $)) T (ELT $ 206))
               ((|convert| ((|Pattern| (|Float|)) $)) T (ELT $ 213))
               ((|patternMatch|
                    ((|PatternMatchResult| (|Integer|) $) $
                     (|Pattern| (|Integer|))
                     (|PatternMatchResult| (|Integer|) $)))
                T (ELT $ 192))
               ((|patternMatch|
                    ((|PatternMatchResult| (|Float|) $) $
                     (|Pattern| (|Float|))
                     (|PatternMatchResult| (|Float|) $)))
                T (ELT $ 199))
               ((|factor| ((|Factored| $) $)) T (ELT $ 140))
               ((|factorPolynomial|
                    ((|Factored| (|SparseUnivariatePolynomial| $))
                     (|SparseUnivariatePolynomial| $)))
                T (ELT $ 120))
               ((|factorSquareFreePolynomial|
                    ((|Factored| (|SparseUnivariatePolynomial| $))
                     (|SparseUnivariatePolynomial| $)))
                T (ELT $ 122))
               ((|solveLinearPolynomialEquation|
                    ((|Union| (|List| (|SparseUnivariatePolynomial| $))
                              "failed")
                     (|List| (|SparseUnivariatePolynomial| $))
                     (|SparseUnivariatePolynomial| $)))
                T (ELT $ 116))
               ((|conditionP|
                    ((|Union| (|Vector| $) "failed") (|Matrix| $)))
                T (ELT $ 154))
               ((|primitivePart| ($ $ |#4|)) T (ELT $ 183))
               ((|content| ($ $ |#4|)) T (ELT $ 175))
               ((|discriminant| ($ $ |#4|)) T (ELT $ 78))
               ((|resultant| ($ $ $ |#4|)) T (ELT $ 76))
               ((|primitiveMonomials| ((|List| $) $)) T (ELT $ 63))
               ((|totalDegree|
                    ((|NonNegativeInteger|) $ (|List| |#4|)))
                T (ELT $ 74))
               ((|totalDegree| ((|NonNegativeInteger|) $)) T
                (ELT $ 71))
               ((|isExpt|
                    ((|Union| (|Record| (|:| |var| |#4|)
                                  (|:| |exponent|
                                       (|NonNegativeInteger|)))
                              "failed")
                     $))
                T (ELT $ 47))
               ((|isTimes| ((|Union| (|List| $) "failed") $)) T
                (ELT $ 42))
               ((|isPlus| ((|Union| (|List| $) "failed") $)) T
                (ELT $ 31))
               ((|monomial|
                    ($ $ (|List| |#4|) (|List| (|NonNegativeInteger|))))
                T (ELT $ 57))
               ((|monomial| ($ $ |#4| (|NonNegativeInteger|))) T
                (ELT $ NIL))
               ((|monicDivide|
                    ((|Record| (|:| |quotient| $) (|:| |remainder| $))
                     $ $ |#4|))
                T (ELT $ 162))
               ((|monomials| ((|List| $) $)) T (ELT $ 28))
               ((|coefficient|
                    ($ $ (|List| |#4|) (|List| (|NonNegativeInteger|))))
                T (ELT $ 55))
               ((|coefficient| ($ $ |#4| (|NonNegativeInteger|))) T
                (ELT $ 52))
               ((|reducedSystem| ((|Matrix| |#2|) (|Matrix| $))) T
                (ELT $ 99))
               ((|reducedSystem|
                    ((|Record| (|:| |mat| (|Matrix| |#2|))
                         (|:| |vec| (|Vector| |#2|)))
                     (|Matrix| $) (|Vector| $)))
                T (ELT $ 106))
               ((|reducedSystem|
                    ((|Record| (|:| |mat| (|Matrix| (|Integer|)))
                         (|:| |vec| (|Vector| (|Integer|))))
                     (|Matrix| $) (|Vector| $)))
                T (ELT $ NIL))
               ((|reducedSystem| ((|Matrix| (|Integer|)) (|Matrix| $)))
                T (ELT $ NIL))
               ((|retract| (|#4| $)) T (ELT $ 59))
               ((|retractIfCan| ((|Union| |#4| "failed") $)) T
                (ELT $ 60))
               ((|eval| ($ $ (|List| |#4|) (|List| $))) T (ELT $ NIL))
               ((|eval| ($ $ |#4| $)) T (ELT $ NIL))
               ((|eval| ($ $ (|List| |#4|) (|List| |#2|))) T
                (ELT $ NIL))
               ((|eval| ($ $ |#4| |#2|)) T (ELT $ NIL))
               ((|eval| ($ $ (|List| $) (|List| $))) T (ELT $ NIL))
               ((|eval| ($ $ $ $)) T (ELT $ NIL))
               ((|eval| ($ $ (|Equation| $))) T (ELT $ NIL))
               ((|eval| ($ $ (|List| (|Equation| $)))) T (ELT $ 21))
               ((|monomial| ($ |#2| |#3|)) T (ELT $ NIL))
               ((|coefficient| (|#2| $ |#3|)) T (ELT $ NIL))
               ((|retract| ((|Integer|) $)) T (ELT $ NIL))
               ((|retractIfCan| ((|Union| (|Integer|) "failed") $)) T
                (ELT $ NIL))
               ((|retract| ((|Fraction| (|Integer|)) $)) T (ELT $ NIL))
               ((|retractIfCan|
                    ((|Union| (|Fraction| (|Integer|)) "failed") $))
                T (ELT $ NIL))
               ((|retractIfCan| ((|Union| |#2| "failed") $)) T
                (ELT $ NIL))
               ((|retract| (|#2| $)) T (ELT $ NIL))
               ((|content| (|#2| $)) T (ELT $ NIL))
               ((|primitivePart| ($ $)) T (ELT $ 180)))
             (|addModemap| '|PolynomialCategory&|
                 '(|PolynomialCategory&| |#1| |#2| |#3| |#4|)
                 '((CATEGORY |domain|
                       (SIGNATURE |gcdPolynomial|
                           ((|SparseUnivariatePolynomial| |#1|)
                            (|SparseUnivariatePolynomial| |#1|)
                            (|SparseUnivariatePolynomial| |#1|)))
                       (SIGNATURE |squareFree|
                           ((|Factored| |#1|) |#1|))
                       (SIGNATURE |squareFreePart| (|#1| |#1|))
                       (SIGNATURE |charthRoot|
                           ((|Union| |#1| "failed") |#1|))
                       (SIGNATURE < ((|Boolean|) |#1| |#1|))
                       (SIGNATURE |convert| ((|InputForm|) |#1|))
                       (SIGNATURE |convert|
                           ((|Pattern| (|Integer|)) |#1|))
                       (SIGNATURE |convert|
                           ((|Pattern| (|Float|)) |#1|))
                       (SIGNATURE |patternMatch|
                           ((|PatternMatchResult| (|Integer|) |#1|)
                            |#1| (|Pattern| (|Integer|))
                            (|PatternMatchResult| (|Integer|) |#1|)))
                       (SIGNATURE |patternMatch|
                           ((|PatternMatchResult| (|Float|) |#1|) |#1|
                            (|Pattern| (|Float|))
                            (|PatternMatchResult| (|Float|) |#1|)))
                       (SIGNATURE |factor| ((|Factored| |#1|) |#1|))
                       (SIGNATURE |factorPolynomial|
                           ((|Factored|
                                (|SparseUnivariatePolynomial| |#1|))
                            (|SparseUnivariatePolynomial| |#1|)))
                       (SIGNATURE |factorSquareFreePolynomial|
                           ((|Factored|
                                (|SparseUnivariatePolynomial| |#1|))
                            (|SparseUnivariatePolynomial| |#1|)))
                       (SIGNATURE |solveLinearPolynomialEquation|
                           ((|Union| (|List|
                                      (|SparseUnivariatePolynomial|
                                       |#1|))
                                     "failed")
                            (|List| (|SparseUnivariatePolynomial| |#1|))
                            (|SparseUnivariatePolynomial| |#1|)))
                       (SIGNATURE |conditionP|
                           ((|Union| (|Vector| |#1|) "failed")
                            (|Matrix| |#1|)))
                       (SIGNATURE |primitivePart| (|#1| |#1| |#4|))
                       (SIGNATURE |content| (|#1| |#1| |#4|))
                       (SIGNATURE |discriminant| (|#1| |#1| |#4|))
                       (SIGNATURE |resultant| (|#1| |#1| |#1| |#4|))
                       (SIGNATURE |primitiveMonomials|
                           ((|List| |#1|) |#1|))
                       (SIGNATURE |totalDegree|
                           ((|NonNegativeInteger|) |#1| (|List| |#4|)))
                       (SIGNATURE |totalDegree|
                           ((|NonNegativeInteger|) |#1|))
                       (SIGNATURE |isExpt|
                           ((|Union| (|Record| (|:| |var| |#4|)
                                      (|:| |exponent|
                                       (|NonNegativeInteger|)))
                                     "failed")
                            |#1|))
                       (SIGNATURE |isTimes|
                           ((|Union| (|List| |#1|) "failed") |#1|))
                       (SIGNATURE |isPlus|
                           ((|Union| (|List| |#1|) "failed") |#1|))
                       (SIGNATURE |monomial|
                           (|#1| |#1| (|List| |#4|)
                                 (|List| (|NonNegativeInteger|))))
                       (SIGNATURE |monomial|
                           (|#1| |#1| |#4| (|NonNegativeInteger|)))
                       (SIGNATURE |monicDivide|
                           ((|Record| (|:| |quotient| |#1|)
                                (|:| |remainder| |#1|))
                            |#1| |#1| |#4|))
                       (SIGNATURE |monomials| ((|List| |#1|) |#1|))
                       (SIGNATURE |coefficient|
                           (|#1| |#1| (|List| |#4|)
                                 (|List| (|NonNegativeInteger|))))
                       (SIGNATURE |coefficient|
                           (|#1| |#1| |#4| (|NonNegativeInteger|)))
                       (SIGNATURE |reducedSystem|
                           ((|Matrix| |#2|) (|Matrix| |#1|)))
                       (SIGNATURE |reducedSystem|
                           ((|Record| (|:| |mat| (|Matrix| |#2|))
                                (|:| |vec| (|Vector| |#2|)))
                            (|Matrix| |#1|) (|Vector| |#1|)))
                       (SIGNATURE |reducedSystem|
                           ((|Record| (|:| |mat|
                                       (|Matrix| (|Integer|)))
                                      (|:| |vec|
                                       (|Vector| (|Integer|))))
                            (|Matrix| |#1|) (|Vector| |#1|)))
                       (SIGNATURE |reducedSystem|
                           ((|Matrix| (|Integer|)) (|Matrix| |#1|)))
                       (SIGNATURE |retract| (|#4| |#1|))
                       (SIGNATURE |retractIfCan|
                           ((|Union| |#4| "failed") |#1|))
                       (SIGNATURE |eval|
                           (|#1| |#1| (|List| |#4|) (|List| |#1|)))
                       (SIGNATURE |eval| (|#1| |#1| |#4| |#1|))
                       (SIGNATURE |eval|
                           (|#1| |#1| (|List| |#4|) (|List| |#2|)))
                       (SIGNATURE |eval| (|#1| |#1| |#4| |#2|))
                       (SIGNATURE |eval|
                           (|#1| |#1| (|List| |#1|) (|List| |#1|)))
                       (SIGNATURE |eval| (|#1| |#1| |#1| |#1|))
                       (SIGNATURE |eval| (|#1| |#1| (|Equation| |#1|)))
                       (SIGNATURE |eval|
                           (|#1| |#1| (|List| (|Equation| |#1|))))
                       (SIGNATURE |monomial| (|#1| |#2| |#3|))
                       (SIGNATURE |coefficient| (|#2| |#1| |#3|))
                       (SIGNATURE |retract| ((|Integer|) |#1|))
                       (SIGNATURE |retractIfCan|
                           ((|Union| (|Integer|) "failed") |#1|))
                       (SIGNATURE |retract|
                           ((|Fraction| (|Integer|)) |#1|))
                       (SIGNATURE |retractIfCan|
                           ((|Union| (|Fraction| (|Integer|)) "failed")
                            |#1|))
                       (SIGNATURE |retractIfCan|
                           ((|Union| |#2| "failed") |#1|))
                       (SIGNATURE |retract| (|#2| |#1|))
                       (SIGNATURE |content| (|#2| |#1|))
                       (SIGNATURE |primitivePart| (|#1| |#1|)))
                   (|PolynomialCategory| |#2| |#3| |#4|) (|Ring|)
                   (|OrderedAbelianMonoidSup|) (|OrderedSet|))
                 T '|PolynomialCategory&|
                 (|put| '|PolynomialCategory&| '|mode|
                        '(|Mapping|
                             (CATEGORY |domain|
                                 (SIGNATURE |gcdPolynomial|
                                     ((|SparseUnivariatePolynomial|
                                       |#1|)
                                      (|SparseUnivariatePolynomial|
                                       |#1|)
                                      (|SparseUnivariatePolynomial|
                                       |#1|)))
                                 (SIGNATURE |squareFree|
                                     ((|Factored| |#1|) |#1|))
                                 (SIGNATURE |squareFreePart|
                                     (|#1| |#1|))
                                 (SIGNATURE |charthRoot|
                                     ((|Union| |#1| "failed") |#1|))
                                 (SIGNATURE < ((|Boolean|) |#1| |#1|))
                                 (SIGNATURE |convert|
                                     ((|InputForm|) |#1|))
                                 (SIGNATURE |convert|
                                     ((|Pattern| (|Integer|)) |#1|))
                                 (SIGNATURE |convert|
                                     ((|Pattern| (|Float|)) |#1|))
                                 (SIGNATURE |patternMatch|
                                     ((|PatternMatchResult| (|Integer|)
                                       |#1|)
                                      |#1| (|Pattern| (|Integer|))
                                      (|PatternMatchResult| (|Integer|)
                                       |#1|)))
                                 (SIGNATURE |patternMatch|
                                     ((|PatternMatchResult| (|Float|)
                                       |#1|)
                                      |#1| (|Pattern| (|Float|))
                                      (|PatternMatchResult| (|Float|)
                                       |#1|)))
                                 (SIGNATURE |factor|
                                     ((|Factored| |#1|) |#1|))
                                 (SIGNATURE |factorPolynomial|
                                     ((|Factored|
                                       (|SparseUnivariatePolynomial|
                                        |#1|))
                                      (|SparseUnivariatePolynomial|
                                       |#1|)))
                                 (SIGNATURE
                                     |factorSquareFreePolynomial|
                                     ((|Factored|
                                       (|SparseUnivariatePolynomial|
                                        |#1|))
                                      (|SparseUnivariatePolynomial|
                                       |#1|)))
                                 (SIGNATURE
                                     |solveLinearPolynomialEquation|
                                     ((|Union|
                                       (|List|
                                        (|SparseUnivariatePolynomial|
                                         |#1|))
                                       "failed")
                                      (|List|
                                       (|SparseUnivariatePolynomial|
                                        |#1|))
                                      (|SparseUnivariatePolynomial|
                                       |#1|)))
                                 (SIGNATURE |conditionP|
                                     ((|Union| (|Vector| |#1|)
                                       "failed")
                                      (|Matrix| |#1|)))
                                 (SIGNATURE |primitivePart|
                                     (|#1| |#1| |#4|))
                                 (SIGNATURE |content| (|#1| |#1| |#4|))
                                 (SIGNATURE |discriminant|
                                     (|#1| |#1| |#4|))
                                 (SIGNATURE |resultant|
                                     (|#1| |#1| |#1| |#4|))
                                 (SIGNATURE |primitiveMonomials|
                                     ((|List| |#1|) |#1|))
                                 (SIGNATURE |totalDegree|
                                     ((|NonNegativeInteger|) |#1|
                                      (|List| |#4|)))
                                 (SIGNATURE |totalDegree|
                                     ((|NonNegativeInteger|) |#1|))
                                 (SIGNATURE |isExpt|
                                     ((|Union|
                                       (|Record| (|:| |var| |#4|)
                                        (|:| |exponent|
                                         (|NonNegativeInteger|)))
                                       "failed")
                                      |#1|))
                                 (SIGNATURE |isTimes|
                                     ((|Union| (|List| |#1|) "failed")
                                      |#1|))
                                 (SIGNATURE |isPlus|
                                     ((|Union| (|List| |#1|) "failed")
                                      |#1|))
                                 (SIGNATURE |monomial|
                                     (|#1| |#1| (|List| |#4|)
                                      (|List| (|NonNegativeInteger|))))
                                 (SIGNATURE |monomial|
                                     (|#1| |#1| |#4|
                                      (|NonNegativeInteger|)))
                                 (SIGNATURE |monicDivide|
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                                       (|:| |remainder| |#1|))
                                      |#1| |#1| |#4|))
                                 (SIGNATURE |monomials|
                                     ((|List| |#1|) |#1|))
                                 (SIGNATURE |coefficient|
                                     (|#1| |#1| (|List| |#4|)
                                      (|List| (|NonNegativeInteger|))))
                                 (SIGNATURE |coefficient|
                                     (|#1| |#1| |#4|
                                      (|NonNegativeInteger|)))
                                 (SIGNATURE |reducedSystem|
                                     ((|Matrix| |#2|) (|Matrix| |#1|)))
                                 (SIGNATURE |reducedSystem|
                                     ((|Record|
                                       (|:| |mat| (|Matrix| |#2|))
                                       (|:| |vec| (|Vector| |#2|)))
                                      (|Matrix| |#1|) (|Vector| |#1|)))
                                 (SIGNATURE |reducedSystem|
                                     ((|Record|
                                       (|:| |mat|
                                        (|Matrix| (|Integer|)))
                                       (|:| |vec|
                                        (|Vector| (|Integer|))))
                                      (|Matrix| |#1|) (|Vector| |#1|)))
                                 (SIGNATURE |reducedSystem|
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                                      (|Matrix| |#1|)))
                                 (SIGNATURE |retract| (|#4| |#1|))
                                 (SIGNATURE |retractIfCan|
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                                 (SIGNATURE |eval|
                                     (|#1| |#1| (|List| |#4|)
                                      (|List| |#1|)))
                                 (SIGNATURE |eval|
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                                 (SIGNATURE |eval|
                                     (|#1| |#1| (|List| |#4|)
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                                 (SIGNATURE |eval|
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                                 (SIGNATURE |eval|
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                                      (|List| |#1|)))
                                 (SIGNATURE |eval|
                                     (|#1| |#1| |#1| |#1|))
                                 (SIGNATURE |eval|
                                     (|#1| |#1| (|Equation| |#1|)))
                                 (SIGNATURE |eval|
                                     (|#1| |#1|
                                      (|List| (|Equation| |#1|))))
                                 (SIGNATURE |monomial|
                                     (|#1| |#2| |#3|))
                                 (SIGNATURE |coefficient|
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                                 (SIGNATURE |retract|
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                                 (SIGNATURE |retractIfCan|
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                                 (SIGNATURE |retract|
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                                 (SIGNATURE |retractIfCan|
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                                 (SIGNATURE |retractIfCan|
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                                 (SIGNATURE |retract| (|#2| |#1|))
                                 (SIGNATURE |content| (|#2| |#1|))
                                 (SIGNATURE |primitivePart|
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                             (|PolynomialCategory| |#2| |#3| |#4|)
                             (|Ring|) (|OrderedAbelianMonoidSup|)
                             (|OrderedSet|))
                        |$CategoryFrame|))))