
(SDEFUN |GROUP-;/;3S;1| ((|x| S) (|y| S) ($ S))
        (SPADCALL |x| (SPADCALL |y| (QREFELT $ 7)) (QREFELT $ 8))) 

(SDEFUN |GROUP-;recip;SU;2| ((|x| S) ($ |Union| S "failed"))
        (CONS 0 (SPADCALL |x| (QREFELT $ 7)))) 

(SDEFUN |GROUP-;^;SIS;3| ((|x| S) (|n| |Integer|) ($ S))
        (COND ((ZEROP |n|) (|spadConstant| $ 12))
              ((< |n| 0)
               (SPADCALL (SPADCALL |x| (QREFELT $ 7)) (- |n|) (QREFELT $ 15)))
              ('T (SPADCALL |x| |n| (QREFELT $ 15))))) 

(SDEFUN |GROUP-;conjugate;3S;4| ((|p| S) (|q| S) ($ S))
        (SPADCALL (SPADCALL (SPADCALL |q| (QREFELT $ 7)) |p| (QREFELT $ 8)) |q|
                  (QREFELT $ 8))) 

(SDEFUN |GROUP-;commutator;3S;5| ((|p| S) (|q| S) ($ S))
        (SPADCALL
         (SPADCALL
          (SPADCALL (SPADCALL |p| (QREFELT $ 7)) (SPADCALL |q| (QREFELT $ 7))
                    (QREFELT $ 8))
          |p| (QREFELT $ 8))
         |q| (QREFELT $ 8))) 

(DECLAIM (NOTINLINE |Group&;|)) 

(DEFUN |Group&| (|#1|)
  (SPROG ((|pv$| NIL) ($ NIL) (|dv$| NIL) (DV$1 NIL))
         (PROGN
          (LETT DV$1 (|devaluate| |#1|) . #1=(|Group&|))
          (LETT |dv$| (LIST '|Group&| DV$1) . #1#)
          (LETT $ (GETREFV 21) . #1#)
          (QSETREFV $ 0 |dv$|)
          (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#))
          (|stuffDomainSlots| $)
          (QSETREFV $ 6 |#1|)
          (SETF |pv$| (QREFELT $ 3))
          $))) 

(MAKEPROP '|Group&| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (0 . |inv|) (5 . *)
              |GROUP-;/;3S;1| (|Union| $ '"failed") |GROUP-;recip;SU;2|
              (11 . |One|) (|PositiveInteger|) (|RepeatedSquaring| 6)
              (15 . |expt|) (|Integer|) |GROUP-;^;SIS;3|
              |GROUP-;conjugate;3S;4| |GROUP-;commutator;3S;5|
              (|NonNegativeInteger|))
           '#(|recip| 21 |conjugate| 26 |commutator| 32 ^ 38 / 44) 'NIL
           (CONS (|makeByteWordVec2| 1 'NIL)
                 (CONS '#()
                       (CONS '#()
                             (|makeByteWordVec2| 19
                                                 '(1 6 0 0 7 2 6 0 0 0 8 0 6 0
                                                   12 2 14 6 6 13 15 1 0 10 0
                                                   11 2 0 0 0 0 18 2 0 0 0 0 19
                                                   2 0 0 0 16 17 2 0 0 0 0
                                                   9)))))
           '|lookupComplete|)) 
