
(/VERSIONCHECK 2) 

(DEFUN |InnerFiniteField| (&REST #1=#:G1840)
  (PROG ()
    (RETURN
     (PROG (#2=#:G1841)
       (RETURN
        (COND
         ((LETT #2#
                (|lassocShiftWithFunction| (|devaluateList| #1#)
                                           (HGET |$ConstructorCache|
                                                 '|InnerFiniteField|)
                                           '|domainEqualList|)
                . #3=(|InnerFiniteField|))
          (|CDRwithIncrement| #2#))
         ('T
          (UNWIND-PROTECT
              (PROG1 (APPLY (|function| |InnerFiniteField;|) #1#)
                (LETT #2# T . #3#))
            (COND
             ((NOT #2#) (HREM |$ConstructorCache| '|InnerFiniteField|))))))))))) 

(DEFUN |InnerFiniteField;| (|#1| |#2|)
  (PROG (|pv$| #1=#:G1839 $ |dv$| DV$2 DV$1)
    (RETURN
     (PROGN
      (LETT DV$1 (|devaluate| |#1|) . #2=(|InnerFiniteField|))
      (LETT DV$2 (|devaluate| |#2|) . #2#)
      (LETT |dv$| (LIST '|InnerFiniteField| DV$1 DV$2) . #2#)
      (LETT $ (GETREFV 43) . #2#)
      (QSETREFV $ 0 |dv$|)
      (QSETREFV $ 3
                (LETT |pv$|
                      (|buildPredVector| 0 0
                                         (LIST
                                          (|HasCategory|
                                           (|InnerPrimeField| |#1|)
                                           '(|CharacteristicZero|))
                                          (|HasCategory|
                                           (|InnerPrimeField| |#1|)
                                           '(|Finite|))
                                          (LETT #1#
                                                (|HasCategory|
                                                 (|InnerPrimeField| |#1|)
                                                 '(|CharacteristicNonZero|))
                                                . #2#)
                                          (OR #1#
                                              (|HasCategory|
                                               (|InnerPrimeField| |#1|)
                                               '(|Finite|)))))
                      . #2#))
      (|haddProp| |$ConstructorCache| '|InnerFiniteField| (LIST DV$1 DV$2)
                  (CONS 1 $))
      (|stuffDomainSlots| $)
      (QSETREFV $ 6 |#1|)
      (QSETREFV $ 7 |#2|)
      $)))) 

(MAKEPROP '|InnerFiniteField| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL (|FiniteFieldExtension| 25 7) (|local| |#1|)
              (|local| |#2|) (|Union| $ '"failed") (|Union| 11 '"failed")
              (|OnePointCompletion| 13) (|NonNegativeInteger|) (|List| $)
              (|PositiveInteger|)
              (|Record| (|:| |factor| 19) (|:| |exponent| 19)) (|List| 14)
              (|Union| 28 '"failed") (|Matrix| $) (|Table| 13 11) (|Integer|)
              (|Boolean|) (|Union| 23 '"failed")
              (|Union| '"prime" '"polynomial" '"normal" '"cyclic")
              (|SparseUnivariatePolynomial| 25)
              (|SparseUnivariatePolynomial| $) (|InnerPrimeField| 6)
              (|Vector| 25) (|Matrix| 25) (|Vector| $) (|CardinalNumber|)
              (|Union| 25 '"failed") (|Fraction| 19) (|Factored| $)
              (|Record| (|:| |coef1| $) (|:| |coef2| $))
              (|Union| 33 '#1="failed") (|Union| 12 '#1#)
              (|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $))
              (|Record| (|:| |quotient| $) (|:| |remainder| $))
              (|Record| (|:| |coef| 12) (|:| |generator| $))
              (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $))
              (|String|) (|OutputForm|) (|SingleInteger|))
           '#() 'NIL
           (CONS
            (|makeByteWordVec2| 4
                                '(0 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 2 0
                                  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0
                                  0 0 0 0 0 0))
            (CONS
             '#(|FiniteAlgebraicExtensionField&| |ExtensionField&|
                |FiniteFieldCategory&| |FieldOfPrimeCharacteristic&| |Field&|
                |EuclideanDomain&| NIL |UniqueFactorizationDomain&|
                |GcdDomain&| |DivisionRing&| |IntegralDomain&| |VectorSpace&|
                |Algebra&| |Algebra&| |Module&| |Module&| NIL NIL |Module&| NIL
                NIL |DifferentialRing&| NIL NIL NIL |Ring&| NIL NIL NIL NIL NIL
                NIL NIL |AbelianGroup&| NIL NIL |AbelianMonoid&| |Monoid&| NIL
                |SemiGroup&| |AbelianSemiGroup&| |Finite&| NIL |SetCategory&|
                |RetractableTo&| NIL NIL NIL NIL NIL |BasicType&| NIL)
             (CONS
              '#((|FiniteAlgebraicExtensionField| (|InnerPrimeField| 6))
                 (|ExtensionField| (|InnerPrimeField| 6))
                 (|FiniteFieldCategory|) (|FieldOfPrimeCharacteristic|)
                 (|Field|) (|EuclideanDomain|) (|PrincipalIdealDomain|)
                 (|UniqueFactorizationDomain|) (|GcdDomain|) (|DivisionRing|)
                 (|IntegralDomain|) (|VectorSpace| (|InnerPrimeField| 6))
                 (|Algebra| 31) (|Algebra| $$) (|Module| (|InnerPrimeField| 6))
                 (|Module| 31) (|EntireRing|) (|CommutativeRing|) (|Module| $$)
                 (|CharacteristicNonZero|) (|CharacteristicZero|)
                 (|DifferentialRing|)
                 (|BiModule| (|InnerPrimeField| 6) (|InnerPrimeField| 6))
                 (|BiModule| 31 31) (|BiModule| $$ $$) (|Ring|)
                 (|RightModule| (|InnerPrimeField| 6))
                 (|LeftModule| (|InnerPrimeField| 6)) (|RightModule| 31)
                 (|LeftModule| 31) (|LeftModule| $$) (|Rng|) (|RightModule| $$)
                 (|AbelianGroup|) (|CancellationAbelianMonoid|) (|SemiRing|)
                 (|AbelianMonoid|) (|Monoid|) (|SemiRng|) (|SemiGroup|)
                 (|AbelianSemiGroup|) (|Finite|) (|StepThrough|)
                 (|SetCategory|) (|RetractableTo| (|InnerPrimeField| 6))
                 (|canonicalsClosed|) (|canonicalUnitNormal|)
                 (|noZeroDivisors|) (|CommutativeStar|) (|unitsKnown|)
                 (|BasicType|) (|CoercibleTo| 41))
              (|makeByteWordVec2| -999999 'NIL))))
           '|lookupIncomplete|)) 
