
(SDEFUN |LODOCAT-;D;S;1| (($ S))
        (SPADCALL (|spadConstant| $ 9) 1 (QREFELT $ 11))) 

(SDEFUN |LODOCAT-;m1monom| ((|n| |NonNegativeInteger|) ($ S))
        (SPROG ((|a| (A)))
               (SEQ
                (LETT |a|
                      (COND
                       ((ODDP |n|)
                        (SPADCALL (|spadConstant| $ 9) (QREFELT $ 13)))
                       ('T (|spadConstant| $ 9)))
                      |LODOCAT-;m1monom|)
                (EXIT (SPADCALL |a| |n| (QREFELT $ 11)))))) 

(SDEFUN |LODOCAT-;adjoint;2S;3| ((|a| S) ($ S))
        (SPROG ((|ans| (S)))
               (SEQ
                (LETT |ans| (|spadConstant| $ 14)
                      . #1=(|LODOCAT-;adjoint;2S;3|))
                (SEQ G190
                     (COND
                      ((NULL
                        (SPADCALL |a| (|spadConstant| $ 14) (QREFELT $ 17)))
                       (GO G191)))
                     (SEQ
                      (LETT |ans|
                            (SPADCALL |ans|
                                      (SPADCALL
                                       (|LODOCAT-;m1monom|
                                        (SPADCALL |a| (QREFELT $ 18)) $)
                                       (SPADCALL (SPADCALL |a| (QREFELT $ 19))
                                                 (QREFELT $ 20))
                                       (QREFELT $ 21))
                                      (QREFELT $ 22))
                            . #1#)
                      (EXIT (LETT |a| (SPADCALL |a| (QREFELT $ 23)) . #1#)))
                     NIL (GO G190) G191 (EXIT NIL))
                (EXIT |ans|)))) 

(SDEFUN |LODOCAT-;symmetricSquare;2S;4| ((|l| S) ($ S))
        (SPADCALL |l| 2 (QREFELT $ 25))) 

(DECLAIM (NOTINLINE |LinearOrdinaryDifferentialOperatorCategory&;|)) 

(DEFUN |LinearOrdinaryDifferentialOperatorCategory&| (|#1| |#2|)
  (SPROG ((|pv$| NIL) ($ NIL) (|dv$| NIL) (DV$2 NIL) (DV$1 NIL))
         (PROGN
          (LETT DV$1 (|devaluate| |#1|)
                . #1=(|LinearOrdinaryDifferentialOperatorCategory&|))
          (LETT DV$2 (|devaluate| |#2|) . #1#)
          (LETT |dv$|
                (LIST '|LinearOrdinaryDifferentialOperatorCategory&| DV$1 DV$2)
                . #1#)
          (LETT $ (GETREFV 27) . #1#)
          (QSETREFV $ 0 |dv$|)
          (QSETREFV $ 3
                    (LETT |pv$|
                          (|buildPredVector| 0 0
                                             (LIST
                                              (|HasCategory| |#2| '(|Field|))))
                          . #1#))
          (|stuffDomainSlots| $)
          (QSETREFV $ 6 |#1|)
          (QSETREFV $ 7 |#2|)
          (SETF |pv$| (QREFELT $ 3))
          (COND
           ((|testBitVector| |pv$| 1)
            (QSETREFV $ 26
                      (CONS
                       (|dispatchFunction| |LODOCAT-;symmetricSquare;2S;4|)
                       $))))
          $))) 

(MAKEPROP '|LinearOrdinaryDifferentialOperatorCategory&| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (0 . |One|)
              (4 . |One|) (|NonNegativeInteger|) (8 . |monomial|)
              |LODOCAT-;D;S;1| (14 . -) (19 . |Zero|) (23 . |Zero|) (|Boolean|)
              (27 . ~=) (33 . |degree|) (38 . |leadingCoefficient|)
              (43 . |coerce|) (48 . *) (54 . +) (60 . |reductum|)
              |LODOCAT-;adjoint;2S;3| (65 . |symmetricPower|)
              (71 . |symmetricSquare|))
           '#(|symmetricSquare| 76 |adjoint| 81 D 86) 'NIL
           (CONS (|makeByteWordVec2| 1 'NIL)
                 (CONS '#()
                       (CONS '#()
                             (|makeByteWordVec2| 26
                                                 '(0 6 0 8 0 7 0 9 2 6 0 7 10
                                                   11 1 7 0 0 13 0 6 0 14 0 7 0
                                                   15 2 6 16 0 0 17 1 6 10 0 18
                                                   1 6 7 0 19 1 6 0 7 20 2 6 0
                                                   0 0 21 2 6 0 0 0 22 1 6 0 0
                                                   23 2 6 0 0 10 25 1 0 0 0 26
                                                   1 0 0 0 26 1 0 0 0 24 0 0 0
                                                   12)))))
           '|lookupComplete|)) 
