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=#:G1688 #1=#:G1426 #2=#:G1689 #3=#:G1690 |lvar| #4=#:G1691
            |e| #5=#:G1692)
    (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=#:G1693 |v| #1=#:G1694 |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=#:G1695 |q| #1=#:G1696)
    (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=#:G1697 |p| #1=#:G1698)
    (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=#:G1700 |i| #1=#:G1699)
    (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=#:G1701 |bj| #1=#:G1702 #2=#:G1703 |p| #3=#:G1704)
    (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=#:G1705 |r| #1=#:G1706 |b| #2=#:G1707 |bj| #3=#:G1708 |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 (NOT (NULL |l|))) (GO G191)))
                (SEQ (LETT |mm|
                           (SPADCALL |mm|
                               (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
                                   $)
                               (|getShellEntry| $ 96))
                           |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=#:G1709 |s| #1=#:G1710 |b| #2=#:G1711 |bj| #3=#:G1712 |d|
            |n| |mm| |w| |l| |r|)
    (RETURN
      (SEQ (LETT |l| (SPADCALL |m| (|getShellEntry| $ 95))
                 |POLYCAT-;reducedSystem;MVR;21|)
           (LETT |r| (SPADCALL |v| (|getShellEntry| $ 100))
                 |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| $ 101))
                     (|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 (NOT (NULL |l|))) (GO G191)))
                (SEQ (LETT |mm|
                           (SPADCALL |mm|
                               (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
                                   $)
                               (|getShellEntry| $ 96))
                           |POLYCAT-;reducedSystem;MVR;21|)
                     (LETT |w|
                           (SPADCALL |w|
                               (|POLYCAT-;P2R| (|SPADfirst| |r|) |d|
                                   |n| $)
                               (|getShellEntry| $ 102))
                           |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| $ 107))) 

(DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| $)
  (SPADCALL |lpp| |pp| (|getShellEntry| $ 112))) 

(DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| $)
  (SPADCALL |pp| (|getShellEntry| $ 117))) 

(DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| $)
  (SPADCALL |pp| (|getShellEntry| $ 120))) 

(DEFUN |POLYCAT-;factor;SF;26| (|p| $)
  (PROG (|v| |ansR| #0=#:G1713 |w| #1=#:G1714 |up| |ansSUP| #2=#:G1715
             |ww| #3=#:G1716)
    (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| $ 123))
                               |POLYCAT-;factor;SF;26|)
                         (EXIT (SPADCALL
                                   (SPADCALL
                                    (SPADCALL |ansR|
                                     (|getShellEntry| $ 125))
                                    (|getShellEntry| $ 41))
                                   (PROGN
                                     (LETT #0# NIL
                                      |POLYCAT-;factor;SF;26|)
                                     (SEQ
                                      (LETT |w| NIL
                                       |POLYCAT-;factor;SF;26|)
                                      (LETT #1#
                                       (SPADCALL |ansR|
                                        (|getShellEntry| $ 129))
                                       |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| $ 133)))))
                   ('T
                    (SEQ (LETT |up|
                               (SPADCALL |p| (QCDR |v|)
                                   (|getShellEntry| $ 49))
                               |POLYCAT-;factor;SF;26|)
                         (LETT |ansSUP|
                               (SPADCALL |up| (|getShellEntry| $ 117))
                               |POLYCAT-;factor;SF;26|)
                         (EXIT (SPADCALL
                                   (SPADCALL
                                    (SPADCALL |ansSUP|
                                     (|getShellEntry| $ 134))
                                    (QCDR |v|) (|getShellEntry| $ 135))
                                   (PROGN
                                     (LETT #2# NIL
                                      |POLYCAT-;factor;SF;26|)
                                     (SEQ
                                      (LETT |ww| NIL
                                       |POLYCAT-;factor;SF;26|)
                                      (LETT #3#
                                       (SPADCALL |ansSUP|
                                        (|getShellEntry| $ 138))
                                       |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| $ 135))
                                           (QVELT |ww| 2))
                                          #2#)
                                         |POLYCAT-;factor;SF;26|)))
                                      (LETT #3# (CDR #3#)
                                       |POLYCAT-;factor;SF;26|)
                                      (GO G190) G191
                                      (EXIT (NREVERSE0 #2#))))
                                   (|getShellEntry| $ 133))))))))))) 

(DEFUN |POLYCAT-;conditionP;MU;27| (|mat| $)
  (PROG (|ll| #0=#:G1717 |z| #1=#:G1718 |ch| |l| #2=#:G1719 #3=#:G1720
              #4=#:G1582 #5=#:G1580 #6=#:G1581 #7=#:G1721 |vars| |degs|
              #8=#:G1722 |d| #9=#:G1723 |nd| #10=#:G1609 #11=#:G1589
              |deg1| |redmons| #12=#:G1724 |v| #13=#:G1726 |u|
              #14=#:G1725 |llR| |monslist| |ans| #15=#:G1727
              #16=#:G1728 |mons| #17=#:G1729 |m| #18=#:G1730 |i|
              #19=#:G1605 #20=#:G1603 #21=#:G1604)
    (RETURN
      (SEQ (EXIT (SEQ (LETT |ll|
                            (SPADCALL
                                (SPADCALL |mat|
                                    (|getShellEntry| $ 140))
                                (|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| $ 141))
                            |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| $
                                                   142))
                                                 |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| $ 143))
                                       |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| $
                                                  145))
                                                |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| $
                                                  146))
                                                |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| $ 147))
                                (|getShellEntry| $ 149))
                            |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|
                                                         $ 150))
                                                       (|getShellEntry|
                                                        $ 41))
                                                      (|getShellEntry|
                                                       $ 151))
                                                     |POLYCAT-;conditionP;MU;27|)
                                                    (COND
                                                      (#21#
                                                       (LETT #20#
                                                        (SPADCALL #20#
                                                         #19#
                                                         (|getShellEntry|
                                                          $ 152))
                                                        |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| $ 146))
                                   (|getShellEntry| $ 154))
                               |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| $ 141))
                               |POLYCAT-;charthRoot;SU;28|)
                         (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch|
                                   $)))))))))) 

(DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| $)
  (PROG (|v| |dd| |cp| |d| #0=#:G1630 |ans| |ansx| #1=#:G1637)
    (RETURN
      (SEQ (EXIT (COND
                   ((NULL |vars|)
                    (SEQ (LETT |ans|
                               (SPADCALL
                                   (SPADCALL |p|
                                    (|getShellEntry| $ 146))
                                   (|getShellEntry| $ 154))
                               |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| $ 145))
                                    |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| $ 157))
                                         |POLYCAT-;charthRootlv|)
                                        (LETT |p|
                                         (SPADCALL |p|
                                          (SPADCALL |cp| |v| |d|
                                           (|getShellEntry| $ 38))
                                          (|getShellEntry| $ 158))
                                         |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| $ 152))
                                               |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| $ 152)))
                                     |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| $ 160))
                 |POLYCAT-;monicDivide;2SVarSetR;30|)
           (EXIT (CONS (SPADCALL (QCAR |result|) |mvar|
                           (|getShellEntry| $ 135))
                       (SPADCALL (QCDR |result|) |mvar|
                           (|getShellEntry| $ 135)))))))) 

(DEFUN |POLYCAT-;squareFree;SF;31| (|p| $)
  (SPADCALL |p| (|getShellEntry| $ 163))) 

(DEFUN |POLYCAT-;squareFree;SF;32| (|p| $)
  (SPADCALL |p| (|getShellEntry| $ 166))) 

(DEFUN |POLYCAT-;squareFree;SF;33| (|p| $)
  (SPADCALL |p| (|getShellEntry| $ 166))) 

(DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| $)
  (PROG (|s| |f| #0=#:G1731 #1=#:G1651 #2=#:G1649 #3=#:G1650)
    (RETURN
      (SEQ (SPADCALL
               (SPADCALL
                   (LETT |s| (SPADCALL |p| (|getShellEntry| $ 167))
                         |POLYCAT-;squareFreePart;2S;34|)
                   (|getShellEntry| $ 168))
               (PROGN
                 (LETT #3# NIL |POLYCAT-;squareFreePart;2S;34|)
                 (SEQ (LETT |f| NIL |POLYCAT-;squareFreePart;2S;34|)
                      (LETT #0# (SPADCALL |s| (|getShellEntry| $ 171))
                            |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| $ 151))
                                       |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| $ 151)))))) 

(DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| $)
  (SPADCALL (SPADCALL |p| |v| (|getShellEntry| $ 49))
      (|getShellEntry| $ 173))) 

(DEFUN |POLYCAT-;primitivePart;2S;36| (|p| $)
  (PROG (#0=#:G1655)
    (RETURN
      (QVELT (SPADCALL
                 (PROG2 (LETT #0#
                              (SPADCALL |p|
                                  (SPADCALL |p|
                                      (|getShellEntry| $ 175))
                                  (|getShellEntry| $ 176))
                              |POLYCAT-;primitivePart;2S;36|)
                        (QCDR #0#)
                   (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 6)
                       #0#))
                 (|getShellEntry| $ 178))
             1)))) 

(DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| $)
  (PROG (#0=#:G1661)
    (RETURN
      (QVELT (SPADCALL
                 (PROG2 (LETT #0#
                              (SPADCALL |p|
                                  (SPADCALL |p| |v|
                                      (|getShellEntry| $ 180))
                                  (|getShellEntry| $ 181))
                              |POLYCAT-;primitivePart;SVarSetS;37|)
                        (QCDR #0#)
                   (|check-union| (QEQCAR #0# 0) (|getShellEntry| $ 6)
                       #0#))
                 (|getShellEntry| $ 178))
             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| $ 183))
                    (SPADCALL (|spadConstant| $ 23)
                        (SPADCALL |q| (|getShellEntry| $ 39))
                        (|getShellEntry| $ 184)))
                   ((SPADCALL |dq| |dp| (|getShellEntry| $ 183))
                    (SPADCALL (SPADCALL |p| (|getShellEntry| $ 39))
                        (|spadConstant| $ 23) (|getShellEntry| $ 184)))
                   ('T
                    (SPADCALL
                        (SPADCALL (SPADCALL |p| |q|
                                      (|getShellEntry| $ 158))
                                  (|getShellEntry| $ 39))
                        (|spadConstant| $ 23) (|getShellEntry| $ 184))))))))) 

(DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| $)
  (SPADCALL |p| |pat| |l| (|getShellEntry| $ 189))) 

(DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| $)
  (SPADCALL |p| |pat| |l| (|getShellEntry| $ 196))) 

(DEFUN |POLYCAT-;convert;SP;41| (|x| $)
  (SPADCALL (ELT $ 199) (ELT $ 200) |x| (|getShellEntry| $ 204))) 

(DEFUN |POLYCAT-;convert;SP;42| (|x| $)
  (SPADCALL (ELT $ 206) (ELT $ 207) |x| (|getShellEntry| $ 211))) 

(DEFUN |POLYCAT-;convert;SIf;43| (|p| $)
  (SPADCALL (ELT $ 214) (ELT $ 215) |p| (|getShellEntry| $ 219))) 

(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| 228) . #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| $ 98
                 (CONS (|dispatchFunction|
                           |POLYCAT-;reducedSystem;MM;20|)
                       $))
             (|setShellEntry| $ 105
                 (CONS (|dispatchFunction|
                           |POLYCAT-;reducedSystem;MVR;21|)
                       $)))))
        (COND
          ((|testBitVector| |pv$| 1)
           (PROGN
             (|setShellEntry| $ 108
                 (CONS (|dispatchFunction|
                           |POLYCAT-;gcdPolynomial;3Sup;22|)
                       $))
             (|setShellEntry| $ 115
                 (CONS (|dispatchFunction|
                           |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|)
                       $))
             (|setShellEntry| $ 119
                 (CONS (|dispatchFunction|
                           |POLYCAT-;factorPolynomial;SupF;24|)
                       $))
             (|setShellEntry| $ 121
                 (CONS (|dispatchFunction|
                           |POLYCAT-;factorSquareFreePolynomial;SupF;25|)
                       $))
             (|setShellEntry| $ 139
                 (CONS (|dispatchFunction| |POLYCAT-;factor;SF;26|) $))
             (COND
               ((|HasCategory| |#2| '(|CharacteristicNonZero|))
                (PROGN
                  (|setShellEntry| $ 153
                      (CONS (|dispatchFunction|
                                |POLYCAT-;conditionP;MU;27|)
                            $))))))))
        (COND
          ((|HasCategory| |#2| '(|CharacteristicNonZero|))
           (PROGN
             (|setShellEntry| $ 155
                 (CONS (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|)
                       $)))))
        (COND
          ((|testBitVector| |pv$| 3)
           (PROGN
             (COND
               ((|HasCategory| |#2| '(|EuclideanDomain|))
                (COND
                  ((|HasCategory| |#2| '(|CharacteristicZero|))
                   (|setShellEntry| $ 164
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;squareFree;SF;31|)
                             $)))
                  ('T
                   (|setShellEntry| $ 164
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;squareFree;SF;32|)
                             $)))))
               ('T
                (|setShellEntry| $ 164
                    (CONS (|dispatchFunction|
                              |POLYCAT-;squareFree;SF;33|)
                          $))))
             (|setShellEntry| $ 172
                 (CONS (|dispatchFunction|
                           |POLYCAT-;squareFreePart;2S;34|)
                       $))
             (|setShellEntry| $ 174
                 (CONS (|dispatchFunction|
                           |POLYCAT-;content;SVarSetS;35|)
                       $))
             (|setShellEntry| $ 179
                 (CONS (|dispatchFunction|
                           |POLYCAT-;primitivePart;2S;36|)
                       $))
             (|setShellEntry| $ 182
                 (CONS (|dispatchFunction|
                           |POLYCAT-;primitivePart;SVarSetS;37|)
                       $)))))
        (COND
          ((|testBitVector| |pv$| 15)
           (PROGN
             (|setShellEntry| $ 185
                 (CONS (|dispatchFunction| |POLYCAT-;<;2SB;38|) $))
             (COND
               ((|testBitVector| |pv$| 8)
                (COND
                  ((|testBitVector| |pv$| 7)
                   (|setShellEntry| $ 191
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;patternMatch;SP2Pmr;39|)
                             $))))))
             (COND
               ((|testBitVector| |pv$| 6)
                (COND
                  ((|testBitVector| |pv$| 5)
                   (|setShellEntry| $ 198
                       (CONS (|dispatchFunction|
                                 |POLYCAT-;patternMatch;SP2Pmr;40|)
                             $)))))))))
        (COND
          ((|testBitVector| |pv$| 12)
           (COND
             ((|testBitVector| |pv$| 11)
              (|setShellEntry| $ 205
                  (CONS (|dispatchFunction| |POLYCAT-;convert;SP;41|)
                        $))))))
        (COND
          ((|testBitVector| |pv$| 10)
           (COND
             ((|testBitVector| |pv$| 9)
              (|setShellEntry| $ 212
                  (CONS (|dispatchFunction| |POLYCAT-;convert;SP;42|)
                        $))))))
        (COND
          ((|testBitVector| |pv$| 14)
           (COND
             ((|testBitVector| |pv$| 13)
              (|setShellEntry| $ 220
                  (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 . |vertConcat|) (|Matrix| $)
             (282 . |reducedSystem|) (|Vector| 6) (287 . |entries|)
             (292 . |concat|) (298 . |concat|)
             (|Record| (|:| |mat| 91) (|:| |vec| 83)) (|Vector| $)
             (304 . |reducedSystem|)
             (|GeneralPolynomialGcdPackage| 8 9 7 6)
             (310 . |gcdPolynomial|) (316 . |gcdPolynomial|)
             (|List| 50) (|Union| 109 '"failed")
             (|PolynomialFactorizationByRecursion| 7 8 9 6)
             (322 . |solveLinearPolynomialEquationByRecursion|)
             (|List| 48) (|Union| 113 '"failed")
             (328 . |solveLinearPolynomialEquation|) (|Factored| 50)
             (334 . |factorByRecursion|) (|Factored| 48)
             (339 . |factorPolynomial|)
             (344 . |factorSquareFreeByRecursion|)
             (349 . |factorSquareFreePolynomial|) (|Factored| $)
             (354 . |factor|) (|Factored| 7) (359 . |unit|)
             (|Union| '"nil" '"sqfr" '"irred" '"prime")
             (|Record| (|:| |flg| 126) (|:| |fctr| 7) (|:| |xpnt| 85))
             (|List| 127) (364 . |factorList|)
             (|Record| (|:| |flg| 126) (|:| |fctr| 6) (|:| |xpnt| 85))
             (|List| 130) (|Factored| 6) (369 . |makeFR|)
             (375 . |unit|) (380 . |multivariate|)
             (|Record| (|:| |flg| 126) (|:| |fctr| 50) (|:| |xpnt| 85))
             (|List| 136) (386 . |factorList|) (391 . |factor|)
             (396 . |transpose|) (401 . |characteristic|)
             (405 . |setUnion|) (411 . |degree|) (|Union| $ '"failed")
             (417 . |exquo|) (423 . |ground|) (428 . |transpose|)
             (|Union| 104 '"failed") (433 . |conditionP|) (438 . |elt|)
             (444 . *) (450 . +) (456 . |conditionP|)
             (461 . |charthRoot|) (466 . |charthRoot|) (471 . |Zero|)
             (475 . |coefficient|) (482 . -)
             (|Record| (|:| |quotient| $) (|:| |remainder| $))
             (488 . |monicDivide|) |POLYCAT-;monicDivide;2SVarSetR;30|
             (|MultivariateSquareFree| 8 9 7 6) (494 . |squareFree|)
             (499 . |squareFree|) (|PolynomialSquareFree| 9 8 7 6)
             (504 . |squareFree|) (509 . |squareFree|) (514 . |unit|)
             (|Record| (|:| |factor| 6) (|:| |exponent| 85))
             (|List| 169) (519 . |factors|) (524 . |squareFreePart|)
             (529 . |content|) (534 . |content|) (540 . |content|)
             (545 . |exquo|)
             (|Record| (|:| |unit| $) (|:| |canonical| $)
                 (|:| |associate| $))
             (551 . |unitNormal|) (556 . |primitivePart|)
             (561 . |content|) (567 . |exquo|) (573 . |primitivePart|)
             (579 . <) (585 . <) (591 . <) (|PatternMatchResult| 85 6)
             (|Pattern| 85)
             (|PatternMatchPolynomialCategory| 85 8 9 7 6)
             (597 . |patternMatch|) (|PatternMatchResult| 85 $)
             (604 . |patternMatch|) (|Float|)
             (|PatternMatchResult| 192 6) (|Pattern| 192)
             (|PatternMatchPolynomialCategory| 192 8 9 7 6)
             (611 . |patternMatch|) (|PatternMatchResult| 192 $)
             (618 . |patternMatch|) (625 . |convert|) (630 . |convert|)
             (|Mapping| 187 9) (|Mapping| 187 7)
             (|PolynomialCategoryLifting| 8 9 7 6 187) (635 . |map|)
             (642 . |convert|) (647 . |convert|) (652 . |convert|)
             (|Mapping| 194 9) (|Mapping| 194 7)
             (|PolynomialCategoryLifting| 8 9 7 6 194) (657 . |map|)
             (664 . |convert|) (|InputForm|) (669 . |convert|)
             (674 . |convert|) (|Mapping| 213 9) (|Mapping| 213 7)
             (|PolynomialCategoryLifting| 8 9 7 6 213) (679 . |map|)
             (686 . |convert|) (|Matrix| 85) (|Vector| 85)
             (|Record| (|:| |mat| 221) (|:| |vec| 222))
             (|Union| 85 '"failed") (|Fraction| 85)
             (|Union| 225 '"failed") (|Union| 7 '"failed"))
          '#(|totalDegree| 691 |squareFreePart| 702 |squareFree| 707
             |solveLinearPolynomialEquation| 712 |retractIfCan| 718
             |retract| 723 |resultant| 728 |reducedSystem| 735
             |primitivePart| 746 |primitiveMonomials| 757
             |patternMatch| 762 |monomials| 776 |monomial| 781
             |monicDivide| 788 |isTimes| 795 |isPlus| 800 |isExpt| 805
             |gcdPolynomial| 810 |factorSquareFreePolynomial| 816
             |factorPolynomial| 821 |factor| 826 |eval| 831
             |discriminant| 837 |convert| 843 |content| 858
             |conditionP| 864 |coefficient| 869 |charthRoot| 883 < 888)
          'NIL
          (CONS (|makeByteWordVec2| 1 'NIL)
                (CONS '#()
                      (CONS '#()
                            (|makeByteWordVec2| 220
                                '(1 10 6 0 11 1 6 12 0 13 1 6 9 0 14 1
                                  10 6 0 15 3 6 0 0 16 17 18 0 6 0 22 0
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                                  0 27 1 6 17 0 29 1 6 16 0 32 1 6 24 0
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                                  6 0 0 9 36 38 1 6 7 0 39 2 7 24 0 0
                                  40 1 6 0 7 41 1 6 12 0 43 2 6 24 0 0
                                  44 2 6 48 0 9 49 2 50 6 0 36 51 3 6 0
                                  0 16 53 54 3 6 0 0 16 53 56 1 6 0 9
                                  58 1 6 8 0 61 2 6 0 7 8 62 1 6 24 0
                                  64 0 50 0 65 2 50 24 0 0 66 1 50 36 0
                                  67 1 50 6 0 68 1 6 36 0 69 1 50 0 0
                                  70 2 16 24 9 0 72 2 6 36 0 16 73 2 50
                                  6 0 0 75 3 0 0 0 0 9 76 1 50 6 0 77 2
                                  0 0 0 9 78 1 6 17 0 79 1 80 0 17 81 1
                                  80 0 0 82 2 83 0 36 7 84 1 83 85 0 86
                                  2 6 7 0 8 87 3 83 7 0 85 7 88 1 91 0
                                  90 92 1 94 93 0 95 2 91 0 0 0 96 1 0
                                  91 97 98 1 99 80 0 100 2 80 0 0 0 101
                                  2 83 0 0 0 102 2 0 103 97 104 105 2
                                  106 50 50 50 107 2 0 48 48 48 108 2
                                  111 110 109 50 112 2 0 114 113 48 115
                                  1 111 116 50 117 1 0 118 48 119 1 111
                                  116 50 120 1 0 118 48 121 1 7 122 0
                                  123 1 124 7 0 125 1 124 128 0 129 2
                                  132 0 6 131 133 1 116 50 0 134 2 6 0
                                  48 9 135 1 116 137 0 138 1 0 122 0
                                  139 1 94 0 0 140 0 6 36 141 2 80 0 0
                                  0 142 2 6 53 0 16 143 2 85 144 0 0
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                                  97 149 2 83 7 0 85 150 2 6 0 0 0 151
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                                  0 154 1 0 144 0 155 0 8 0 156 3 6 0 0
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                                  160 1 162 132 6 163 1 0 122 0 164 1
                                  165 132 6 166 1 6 122 0 167 1 132 6 0
                                  168 1 132 170 0 171 1 0 0 0 172 1 50
                                  6 0 173 2 0 0 0 9 174 1 6 7 0 175 2 6
                                  144 0 7 176 1 6 177 0 178 1 0 0 0 179
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                                  0 24 0 0 185 3 188 186 6 187 186 189
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                                  193 196 3 0 197 0 194 197 198 1 9 187
                                  0 199 1 7 187 0 200 3 203 187 201 202
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                                  194 0 212 1 9 213 0 214 1 7 213 0 215
                                  3 218 213 216 217 6 219 1 0 213 0 220
                                  2 0 36 0 16 74 1 0 36 0 71 1 0 0 0
                                  172 1 0 122 0 164 2 0 114 113 48 115
                                  1 0 12 0 60 1 0 9 0 59 3 0 0 0 0 9 76
                                  1 0 91 97 98 2 0 103 97 104 105 2 0 0
                                  0 9 182 1 0 0 0 179 1 0 17 0 63 3 0
                                  190 0 187 190 191 3 0 197 0 194 197
                                  198 1 0 17 0 28 3 0 0 0 16 53 57 3 0
                                  159 0 0 9 161 1 0 30 0 42 1 0 30 0 31
                                  1 0 46 0 47 2 0 48 48 48 108 1 0 118
                                  48 121 1 0 118 48 119 1 0 122 0 139 2
                                  0 0 0 20 21 2 0 0 0 9 78 1 0 213 0
                                  220 1 0 187 0 205 1 0 194 0 212 2 0 0
                                  0 9 174 1 0 148 97 153 3 0 0 0 16 53
                                  55 3 0 0 0 9 36 52 1 0 144 0 155 2 0
                                  24 0 0 185)))))
          '|lookupComplete|))