(|SYSTEM|::|VERSION| '(20080430.))
#0Y_ #0Y |CHARSET|::|UTF-8|
#Y(#:|2 2 (DECLAIM (NOTINLINE FiniteFieldNormalBasis;))-1|
   #15Y(00 00 00 00 00 00 00 00 20 01 DA 31 62 19 01)
   ((|COMMON-LISP|::|NOTINLINE| |BOOT|::|FiniteFieldNormalBasis;|))
   (|COMMON-LISP|::|T| |COMMON-LISP|::|T| |COMMON-LISP|::|T|))
#Y(#:|4 21 (DEFUN FiniteFieldNormalBasis (&REST G760) ...)-2|
   #20Y(00 00 00 00 00 00 00 00 20 01 DA 2F 01 DA DC 32 9C C5 19 01)
   (|BOOT|::|FiniteFieldNormalBasis| |SYSTEM|::|REMOVE-OLD-DEFINITIONS|
    #Y(|BOOT|::|FiniteFieldNormalBasis|
       #66Y(03 00 01 00 00 00 00 00 21 16 63 AE 6F 00 DB 6B 02 38 01 71 6E DD
            2D 03 04 F8 1C 13 53 16 99 06 A2 77 00 7E 03 15 54 05 00 00 00 1D
            0D 1B 10 14 2F 05 19 03 05 00 00 00 1C 05 DB 6B 02 31 70 55 19 03)
       (|BOOT|::|devaluateList| |BOOT|::|FiniteFieldNormalBasis|
        |BOOT|::|$ConstructorCache| |BOOT|::|domainEqualList|
        |BOOT|::|lassocShiftWithFunction| |BOOT|::|CDRwithIncrement|
        |BOOT|::|FiniteFieldNormalBasis;|)
       (|COMMON-LISP|::|T| |COMMON-LISP|::|T| |COMMON-LISP|::|T|)))
   (|COMMON-LISP|::|T| |COMMON-LISP|::|T| |COMMON-LISP|::|T|))
#Y(#:|23 54 (DEFUN FiniteFieldNormalBasis; (#1 #2) ...)-3|
   #20Y(00 00 00 00 00 00 00 00 20 01 DA 2F 01 DA DC 32 9C C5 19 01)
   (|BOOT|::|FiniteFieldNormalBasis;| |SYSTEM|::|REMOVE-OLD-DEFINITIONS|
    #Y(|BOOT|::|FiniteFieldNormalBasis;|
       #106Y(00 00 00 00 02 00 00 00 26 03 01 05 B3 2F 00 F8 B2 2F 00 F9 DB AD
             AF 61 03 FA DC 2F 03 FB AE B0 C9 60 DE DE B5 6F 05 E0 70 07 B6 6F
             05 E2 30 07 FF 14 B7 6F 05 E3 8A 07 01 A5 14 7B 03 6E 03 0A B0 D0
             60 6B 0C DB AE B0 7B 02 E7 A4 7A 2D 04 0E AF 2F 0F B3 B0 D5 60 B2
             B0 D6 60 AF EC 8B 07 07 93 04 04 AF ED 30 14 A0 19 08)
       (|BOOT|::|devaluate| |BOOT|::|FiniteFieldNormalBasis| 54.
        |BOOT|::|GETREFV| 0. |BOOT|::|PrimeField|
        (|BOOT|::|CharacteristicZero|) |BOOT|::|HasCategory| (|BOOT|::|Finite|)
        (|BOOT|::|CharacteristicNonZero|) |BOOT|::|buildPredVector| 3.
        |BOOT|::|$ConstructorCache| 1. |BOOT|::|haddProp|
        |BOOT|::|stuffDomainSlots| 6. 7. (|BOOT|::|CharacteristicNonZero|) 8.
        |BOOT|::|augmentPredVector|)
       (|COMMON-LISP|::|T| |COMMON-LISP|::|T| |COMMON-LISP|::|T|)
       (|BOOT|::|#1| |BOOT|::|#2|) |COMMON-LISP|::|NIL| 1))
   (|COMMON-LISP|::|T| |COMMON-LISP|::|T| |COMMON-LISP|::|T|))
#Y(#:|56 134 (MAKEPROP 'FiniteFieldNormalBasis 'infovec ...)-4|
   #36Y(00 00 00 00 00 00 00 00 20 01 DA DB DC DD 63 DE DF 70 06 E1 E2 E3 E4 30
        06 5D 5D 7A E5 7B 05 2D 03 0C 19 01)
   (|BOOT|::|FiniteFieldNormalBasis| |BOOT|::|infovec|
    #(|COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      (|BOOT|::|FiniteFieldNormalBasisExtensionByPolynomial| 35.
       (|BOOT|::|NRTEVAL|
        (|BOOT|::|SPADCALL| (|BOOT|::|QREFELT| |BOOT|::|$| 7.)
         (|BOOT|::|QREFELT| |BOOT|::|$| 12.))))
      (|BOOT|::|local| |BOOT|::|#1|) (|BOOT|::|local| |BOOT|::|#2|)
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|value| 35.)
       (|BOOT|::|:| |BOOT|::|index| 51.))
      (|BOOT|::|Union| 32. 34.) (|BOOT|::|PositiveInteger|)
      (|BOOT|::|FiniteFieldFunctions| 35.)
      (0. . |BOOT|::|createLowComplexityNormalBasis|)
      (|BOOT|::|Union| 37. '#1="failed") (|BOOT|::|Matrix| |BOOT|::|$|)
      (|BOOT|::|Union| |BOOT|::|$| '"failed") (|BOOT|::|Union| 18. '"failed")
      (|BOOT|::|OnePointCompletion| 10.) (|BOOT|::|NonNegativeInteger|)
      (|BOOT|::|List| |BOOT|::|$|) (|BOOT|::|Boolean|) (|BOOT|::|InputForm|)
      (|BOOT|::|Union| 23. '#1#) (|BOOT|::|List| 24.)
      (|BOOT|::|SparseUnivariatePolynomial| |BOOT|::|$|)
      (|BOOT|::|Factored| 24.) (|BOOT|::|Table| 10. 18.) (|BOOT|::|Integer|)
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|factor| 27.)
       (|BOOT|::|:| |BOOT|::|exponent| 18.))
      (|BOOT|::|List| 28.) (|BOOT|::|Union| 32. '"failed")
      (|BOOT|::|Union| '"prime" '"polynomial" '"normal" '"cyclic")
      (|BOOT|::|SparseUnivariatePolynomial| 35.) (|BOOT|::|Matrix| 35.)
      (|BOOT|::|Vector| (|BOOT|::|List| 8.))
      (|BOOT|::|PrimeField|
       (|BOOT|::|NRTEVAL| (|BOOT|::|QREFELT| |BOOT|::|$| 6.)))
      (|BOOT|::|Vector| 35.) (|BOOT|::|Vector| |BOOT|::|$|)
      (|BOOT|::|CardinalNumber|) (|BOOT|::|Union| 35. '"failed")
      (|BOOT|::|Fraction| 27.) (|BOOT|::|Factored| |BOOT|::|$|)
      (|BOOT|::|Union| 19. '#2="failed")
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|coef1| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|coef2| |BOOT|::|$|))
      (|BOOT|::|Union| 43. '#2#)
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|coef1| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|coef2| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|generator| |BOOT|::|$|))
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|quotient| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|remainder| |BOOT|::|$|))
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|coef| 19.)
       (|BOOT|::|:| |BOOT|::|generator| |BOOT|::|$|))
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|llcm_res| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|coeff1| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|coeff2| |BOOT|::|$|))
      (|BOOT|::|Record| (|BOOT|::|:| |BOOT|::|unit| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|canonical| |BOOT|::|$|)
       (|BOOT|::|:| |BOOT|::|associate| |BOOT|::|$|))
      (|BOOT|::|String|) (|BOOT|::|SingleInteger|) (|BOOT|::|HashState|)
      (|BOOT|::|OutputForm|))
    #() 3.
    (0. 0. 2. 3. 0. 0. 2. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 3. 1. 2. 0. 0. 0. 0. 0.
     0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 2. 0. 0.
     2. 2. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 2.)
    |BOOT|::|makeByteWordVec2|
    #(|BOOT|::|FiniteAlgebraicExtensionField&| |BOOT|::|ExtensionField&|
      |BOOT|::|FiniteFieldCategory&| |BOOT|::|FieldOfPrimeCharacteristic&|
      |BOOT|::|Field&| |BOOT|::|EuclideanDomain&|
      |BOOT|::|PolynomialFactorizationExplicit&| |COMMON-LISP|::|NIL|
      |BOOT|::|UniqueFactorizationDomain&| |BOOT|::|GcdDomain&|
      |COMMON-LISP|::|NIL| |BOOT|::|DivisionRing&| |COMMON-LISP|::|NIL|
      |COMMON-LISP|::|NIL| |BOOT|::|Algebra&| |BOOT|::|EntireRing&|
      |BOOT|::|Algebra&| |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      |BOOT|::|DifferentialRing&| |COMMON-LISP|::|NIL| |BOOT|::|VectorSpace&|
      |BOOT|::|Rng&| |COMMON-LISP|::|NIL| |BOOT|::|Module&| |BOOT|::|Module&|
      |BOOT|::|Module&| |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL| |BOOT|::|NonAssociativeRing&|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL| |BOOT|::|NonAssociativeRng&|
      |COMMON-LISP|::|NIL| |BOOT|::|AbelianGroup&| |COMMON-LISP|::|NIL|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      |BOOT|::|MagmaWithUnit&| |BOOT|::|NonAssociativeSemiRng&|
      |BOOT|::|AbelianMonoid&| |BOOT|::|Finite&| |BOOT|::|Magma&|
      |BOOT|::|AbelianSemiGroup&| |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      |COMMON-LISP|::|NIL| |BOOT|::|SetCategory&| |BOOT|::|RetractableTo&|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL| |BOOT|::|BasicType&|
      |COMMON-LISP|::|NIL| |COMMON-LISP|::|NIL|)
    #((|BOOT|::|FiniteAlgebraicExtensionField| (|BOOT|::|PrimeField| 6.))
      (|BOOT|::|ExtensionField| (|BOOT|::|PrimeField| 6.))
      (|BOOT|::|FiniteFieldCategory|) (|BOOT|::|FieldOfPrimeCharacteristic|)
      (|BOOT|::|Field|) (|BOOT|::|EuclideanDomain|)
      (|BOOT|::|PolynomialFactorizationExplicit|)
      (|BOOT|::|PrincipalIdealDomain|) (|BOOT|::|UniqueFactorizationDomain|)
      (|BOOT|::|GcdDomain|) (|BOOT|::|IntegralDomain|) (|BOOT|::|DivisionRing|)
      (|BOOT|::|CommutativeRing|) (|BOOT|::|LeftOreRing|)
      (|BOOT|::|Algebra| 40.) (|BOOT|::|EntireRing|)
      (|BOOT|::|Algebra| |BOOT|::|$$|) (|BOOT|::|CharacteristicNonZero|)
      (|BOOT|::|CharacteristicZero|) (|BOOT|::|DifferentialRing|)
      (|BOOT|::|Ring|) (|BOOT|::|VectorSpace| (|BOOT|::|PrimeField| 6.))
      (|BOOT|::|Rng|) (|BOOT|::|SemiRing|)
      (|BOOT|::|Module| (|BOOT|::|PrimeField| 6.)) (|BOOT|::|Module| 40.)
      (|BOOT|::|Module| |BOOT|::|$$|) (|BOOT|::|SemiRng|)
      (|BOOT|::|BiModule| (|BOOT|::|PrimeField| 6.) (|BOOT|::|PrimeField| 6.))
      (|BOOT|::|BiModule| 40. 40.)
      (|BOOT|::|BiModule| |BOOT|::|$$| |BOOT|::|$$|)
      (|BOOT|::|NonAssociativeRing|)
      (|BOOT|::|RightModule| (|BOOT|::|PrimeField| 6.))
      (|BOOT|::|LeftModule| (|BOOT|::|PrimeField| 6.))
      (|BOOT|::|RightModule| 40.) (|BOOT|::|LeftModule| 40.)
      (|BOOT|::|LeftModule| |BOOT|::|$$|) (|BOOT|::|NonAssociativeRng|)
      (|BOOT|::|RightModule| |BOOT|::|$$|) (|BOOT|::|AbelianGroup|)
      (|BOOT|::|Monoid|) (|BOOT|::|NonAssociativeSemiRing|)
      (|BOOT|::|CancellationAbelianMonoid|) (|BOOT|::|SemiGroup|)
      (|BOOT|::|MagmaWithUnit|) (|BOOT|::|NonAssociativeSemiRng|)
      (|BOOT|::|AbelianMonoid|) (|BOOT|::|Finite|) (|BOOT|::|Magma|)
      (|BOOT|::|AbelianSemiGroup|) (|BOOT|::|Comparable|)
      (|BOOT|::|StepThrough|) (|BOOT|::|CommutativeStar|)
      (|BOOT|::|SetCategory|)
      (|BOOT|::|RetractableTo| (|BOOT|::|PrimeField| 6.))
      (|BOOT|::|canonicalsClosed|) (|BOOT|::|canonicalUnitNormal|)
      (|BOOT|::|noZeroDivisors|) (|BOOT|::|TwoSidedRecip|)
      (|BOOT|::|unitsKnown|) (|BOOT|::|BasicType|) (|BOOT|::|CoercibleTo| 53.)
      (|BOOT|::|ConvertibleTo| 21.))
    12. (1. 11. 9. 10. 12.) |BOOT|::|lookupIncomplete| |BOOT|::|MAKEPROP|)
   (|COMMON-LISP|::|T| |COMMON-LISP|::|T| |COMMON-LISP|::|T|))
