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Inst. f. Mathematik

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C

Camelcase ( string ) -> string

CanChangeUniverse ( seq(), any ) -> elt-alg^boo, seq()

CanonicalDivisor ( fld^fun ) -> elt-dvs/fld^fun

CarmichaelLambda ( elt-ord^rat ) -> elt-ord^rat

CarmichaelLambda ( seq(tup()) ) -> elt-ord^rat

Cartesian ( list, list ) -> list

CartesianPower ( any, elt-ord^rat ) -> str

CartesianProduct ( any, any ) -> str

CartesianProduct ( seq(any) ) -> str

CartesianProduct ( tup() ) -> str

Cartier ( elt-dif/fld^fun ) -> elt-dif/fld^fun

Cartier ( elt-dif/fld^fun, elt-ord^rat ) -> elt-dif/fld^fun

CartierRepresentation ( fld^fun ) -> elt-alg^mat, seq()

CartierRepresentation ( fld^fun, elt-ord^rat ) -> elt-alg^mat, seq()

Catalan ( elt-ord^rat ) -> elt-ord^rat

Catalan ( fld^com ) -> elt-fld^com

Catalan ( fld^rea ) -> elt-fld^rea

Ceiling ( elt-fld^rat ) -> elt-ord^rat

Ceiling ( elt-fld^rea ) -> elt-ord^rat

Ceiling ( elt-ord^inf ) -> elt-ord^inf

Center ( alg^mat ) -> alg^mat

Center ( grp^abl ) -> grp^abl

Center ( rng ) -> rng

Centre ( alg^mat ) -> alg^mat

Centre ( grp^abl ) -> grp^abl

Centre ( rng ) -> rng

ChangePrecision ( elt-alg^pol, elt-ord^rat ) -> elt-alg^pol

ChangePrecision ( elt-fld^pad, elt-ord^rat ) -> elt-fld^pad

ChangePrecision ( elt-ord^pad, elt-ord^rat ) -> elt-ord^pad

ChangePrecision ( elt-rng^ser, elt-ord^rat ) -> elt-rng^ser

ChangePrecision ( fld^pad, any ) -> fld^pad

ChangePrecision ( ord^pad, any ) -> ord^pad

ChangePrecision ( ord^pow, elt-ord^rat ) -> ord^pow

ChangePrecision ( res^pad, elt-ord^rat ) -> res^pad

ChangePrecision ( res^pow, elt-ord^rat ) -> res^pow

ChangePrecision_ ( elt-alg^pol, elt-ord^rat )

ChangePrecision_ ( elt-fld^pad, elt-ord^rat )

ChangePrecision_ ( elt-ord^pad, elt-ord^rat )

ChangePrecision_ ( elt-rng^ser, elt-ord^rat )

ChangePrecision_ ( fld^pad, any )

ChangePrecision_ ( ord^pad, any )

ChangePrecision_ ( res^pad, elt-ord^rat )

ChangeRing ( alg^pol, rng ) -> alg^pol, map()

ChangeRing ( alg^pol, rng, map() ) -> alg^pol, map()

ChangeRing ( elt-alg^mat, rng ) -> elt-alg^mat

ChangeRing ( mdl, rng ) -> mdl, map()

ChangeRing ( mdl, rng, map() ) -> mdl, map()

ChangeRing ( mdl^mat, rng ) -> mdl^mat, map()

ChangeRing ( mdl^mat, rng, map() ) -> mdl^mat, map()

ChangeRing ( mdl^vec, rng ) -> mdl^vec, map()

ChangeRing ( mdl^vec, rng, map() ) -> mdl^vec, map()

ChangeRing ( rng^ser, rng ) -> rng^ser

ChangeUniverse ( seq(), any ) -> seq()

ChangeUniverse_ ( seq(), any )

Char ( elt-ord^rat ) -> char

Characteristic ( rng ) -> elt-ord^rat

CharacteristicPolynomial ( elt-fld^fin ) -> elt-alg^pol

CharacteristicPolynomial ( elt-fld^fin, fld^fin ) -> elt-alg^pol

CharacteristicPolynomial ( elt-fld^fra ) -> elt-alg^pol

CharacteristicPolynomial ( elt-fld^fra, rng ) -> elt-alg^pol

CharacteristicPolynomial ( elt-fld^fun ) -> elt-alg^pol

CharacteristicPolynomial ( elt-fld^fun, rng ) -> elt-alg^pol

CharacteristicPolynomial ( elt-ord^fun ) -> elt-alg^pol

CharacteristicPolynomial ( elt-ord^fun, rng ) -> elt-alg^pol

CharacteristicPolynomial ( elt-ord^num ) -> elt-alg^pol

CharacteristicPolynomial ( elt-ord^num, rng ) -> elt-alg^pol

CharacteristicPolynomial ( elt-ord^pad ) -> elt-alg^pol

CharacteristicPolynomial ( elt-ord^pad, ord^pad ) -> elt-alg^pol

CharacteristicPolynomial ( elt-res^pad ) -> elt-alg^pol

CharacteristicPolynomial ( elt-res^pad, res^pad ) -> elt-alg^pol

CharacteristicPolynomial ( elt-res^pol ) -> elt-alg^pol

CharacteristicPolynomial ( seq() ) -> elt-alg^pol, elt-ord^rat

CharacteristicVector ( mdl, seq(elt-ord^rat) ) -> elt-mdl

CharacteristicVector ( mdl^vec, seq(elt-ord^rat) ) -> elt-mdl^vec

CheckArgs ( list, list, list )

CheckDocumentation ( record )

ChineseRemainderTheorem ( elt-ids^int/ord^fun, elt-ids^int/ord^fun, elt-ord^fun, elt-ord^fun ) -> elt-ord^fun

ChineseRemainderTheorem ( elt-ids^int/ord^num, elt-ids^int/ord^num, elt-ord^num, elt-ord^num ) -> elt-ord^num

ChineseRemainderTheorem ( elt-ids^int/ord^num, seq(), elt-ord^num, seq() ) -> elt-ord^num

ChineseRemainderTheorem ( seq(elt-ord^rat), seq(elt-ord^rat) ) -> elt-ord^rat

Cholesky ( elt-alg^mat ) -> elt-alg^mat

Cholesky ( elt-alg^mat, rng ) -> elt-alg^mat

CipherDecrypt ( string, string, string ) -> string

CipherEncrypt ( string, string, string ) -> string

CipherKey ( string, string, string ) -> string, string

Classes ( grp^abl ) -> seq()

ClassGroup ( fld^num ) -> grp^abl, map()

ClassGroup ( fld^rat ) -> grp^abl, map()

ClassGroup ( ord^num ) -> grp^abl, map()

ClassGroup ( ord^rat ) -> grp^abl, map()

ClassGroupCyclicFactorGenerators ( ord^num ) -> seq()

ClassGroupGenerationBound ( elt-ord^rat, elt-ord^rat ) -> elt-ord^rat

ClassGroupGenerationBound ( fld^fun ) -> elt-ord^rat

ClassGroupPRank ( fld^fun ) -> elt-ord^rat

ClassNumber ( fld^num ) -> elt-ord^rat

ClassNumber ( ord^num ) -> elt-ord^rat

ClassNumberApproximation ( fld^fun, elt-fld^rea ) -> elt-fld^rea

ClassNumberApproximationBound ( elt-ord^rat, elt-ord^rat, elt-fld^rea ) -> elt-ord^rat

ClassRepresentative ( elt-ids^fra/ord^num ) -> elt-ids^fra/ord^num

ClassRepresentative ( grp^abl, elt-grp^abl ) -> elt-grp^abl

ClockCycles -> elt-ord^rat

Close ( file ) -> elt-alg^boo

CodeToString ( elt-ord^rat ) -> string

Codomain ( elt-mdl^mat ) -> mdl^vec

Codomain ( map() ) -> any

Codomain ( mdl^mat ) -> mdl^vec

Coefficient ( elt-alg^pol, elt-ord^rat ) -> elt-rng

Coefficient ( elt-alg^pol/ord^pow, elt-ord^rat ) -> elt-ord^pow

Coefficient ( elt-alg^pol/res^pow, elt-ord^rat ) -> elt-res^pow

Coefficient ( elt-fld^pad, elt-ord^rat ) -> elt-fld^pad

Coefficient ( elt-ord^pad, elt-ord^rat ) -> elt-ord^pad

Coefficient ( elt-res^pad, elt-ord^rat ) -> elt-res^pad

Coefficient ( elt-res^pol, elt-ord^rat ) -> elt-rng

Coefficient ( elt-rng^ser, elt-rng ) -> elt-rng

CoefficientField ( fld^abl ) -> fld

CoefficientField ( fld^fra ) -> fld

CoefficientField ( fld^fun ) -> rng

CoefficientField ( fld^pad ) -> rng

CoefficientField ( mdl/fld ) -> rng

CoefficientHeight ( elt-fld^fra ) -> elt-ord^rat

CoefficientHeight ( elt-fld^fun ) -> elt-ord^rat

CoefficientHeight ( elt-ids^fra/ord^num ) -> elt-ord^rat

CoefficientHeight ( elt-ids^int/ord^fun ) -> elt-ord^rat

CoefficientHeight ( elt-ids^int/ord^num ) -> elt-ord^rat

CoefficientHeight ( elt-ord^fun ) -> elt-ord^rat

CoefficientHeight ( elt-ord^num ) -> elt-ord^rat

CoefficientLength ( elt-fld^fra ) -> elt-ord^rat

CoefficientLength ( elt-fld^fun ) -> elt-ord^rat

CoefficientLength ( elt-ids^fra/ord^num ) -> elt-ord^rat

CoefficientLength ( elt-ids^int/ord^fun ) -> elt-ord^rat

CoefficientLength ( elt-ids^int/ord^num ) -> elt-ord^rat

CoefficientLength ( elt-ord^fun ) -> elt-ord^rat

CoefficientLength ( elt-ord^num ) -> elt-ord^rat

CoefficientRing ( alg^pol ) -> rng

CoefficientRing ( alg^pol/ord^pow ) -> ord^pow

CoefficientRing ( alg^pol/res^pow ) -> res^pow

CoefficientRing ( elt-alg^mat ) -> rng

CoefficientRing ( fld^abl ) -> rng

CoefficientRing ( fld^fun ) -> rng

CoefficientRing ( fld^pol ) -> rng

CoefficientRing ( mdl ) -> rng

CoefficientRing ( mdl^ded ) -> rng

CoefficientRing ( mdl^mat ) -> rng

CoefficientRing ( mdl^vec ) -> rng

CoefficientRing ( ord^fun ) -> rng

CoefficientRing ( ord^num ) -> rng

CoefficientRing ( ord^pad ) -> rng

CoefficientRing ( res^pad ) -> rng

CoefficientRing ( res^pol ) -> rng

CoefficientRing ( rng^ser ) -> rng

Coefficients ( elt-alg^pol ) -> seq()

Coefficients ( elt-fld^pad ) -> seq()

Coefficients ( elt-ord^pad ) -> seq()

Coefficients ( elt-res^pad ) -> seq()

Coefficients ( elt-res^pol ) -> seq()

Coefficients ( elt-rng^ser ) -> seq(), elt-ord^rat, elt-ord^rat

Coerce ( alg^pol/fld^fin, elt-alg^pol/ord^pow ) -> elt-alg^pol

Coerce ( alg^pol/fld^fin, elt-alg^pol/res^pow ) -> elt-alg^pol

Coerce ( alg^pol/fld^fin, elt-ord^ser/fld^fin ) -> elt-alg^pol/fld^fin

Coerce ( alg^pol/ord^pow, any ) -> elt-alg^pol/ord^pow

Coerce ( alg^pol/ord^ser, elt-alg^pol/ord^pow ) -> elt-alg^pol

Coerce ( alg^pol/res^pow, any ) -> elt-alg^pol/res^pow

Coerce ( any, any ) -> any

Coerce ( ord^pow, any ) -> elt-ord^pow

Coerce ( ord^rat, elt-ord^pow ) -> elt-ord^rat

Coerce ( res^pow, any ) -> elt-res^pow

CoerceIdeal ( fld^fra, elt-ids^fra/ord^num ) -> elt-ids^fra/ord^num

CoerceIdeal ( ord^fun, elt-ids^int/ord^fun ) -> elt-ids^int/ord^fun

CoerceIdeal ( ord^num, elt-ids^fra/ord^num ) -> elt-ids^int/ord^num

Collected ( list ) -> list

ColonIdeal ( elt-ids^fra/ord^num, elt-ids^fra/ord^num ) -> elt-ids^fra/ord^num

ColonIdeal ( elt-ids^int/ord^fun, elt-ids^int/ord^fun ) -> elt-ids^int/ord^fun

ColumnSubmatrix ( elt-alg^mat, elt-ord^rat ) -> elt-alg^mat

ColumnSubmatrix ( elt-alg^mat, elt-ord^rat, elt-ord^rat ) -> elt-alg^mat

ColumnSubmatrixRange ( elt-alg^mat, elt-ord^rat, elt-ord^rat ) -> elt-alg^mat

Comm ( elt-grp, elt-grp ) -> elt-grp

Comm ( elt-grp^per, elt-grp^per ) -> elt-alg^boo

Command Line Options

CompanionMatrix ( elt-alg^pol ) -> elt-alg^mat

Complement ( mdl/fld, mdl/fld ) -> mdl/fld

Complement ( mdl^mat/fld, mdl^mat/fld ) -> mdl^mat/fld

Complement ( mdl^vec/fld, mdl^vec/fld ) -> mdl^vec/fld

ComplementaryDivisor ( elt-dvs/fld^fun ) -> elt-dvs/fld^fun

Complements ( mdl, mdl ) -> seq()

CompleteClassGroup ( ord^num )

Completion ( fld^fun, elt-pls/fld^fun ) -> fld^ser, map()

Completion ( ord^fun, elt-pls/fld^fun ) -> ord^ser, map()

Completion ( string, elt-ord^rat )

ComplexConjugate ( elt-fld^com ) -> elt-fld^com

ComplexConjugate ( elt-fld^rat ) -> elt-fld^rat

ComplexConjugate ( elt-fld^rea ) -> elt-fld^rea

ComplexConjugate ( elt-ord^rat ) -> elt-ord^rat

ComplexField -> fld^com

ComplexField ( elt-ord^rat ) -> fld^com

ComplexField ( fld^rea ) -> fld^com

ComplexToPolar ( elt-fld^com ) -> elt-fld^rea, elt-fld^rea

Component ( str, elt-ord^rat ) -> any

Components ( map() ) -> seq()

CompositeFields ( fld^fra, fld^fra ) -> seq()

Composition ( elt-rng^ser, elt-rng^ser ) -> elt-rng^ser

Composition ( map(), map() ) -> map()

Concatenation ( list, list ) -> list

Concatenation ( seq(), seq() ) -> seq()

Concatenation ( seq(seq()) ) -> seq()

Concatenation ( seq(string) ) -> string

Concatenation ( string, string ) -> string

ConditionalClassGroup ( fld^num ) -> grp^abl, map()

ConditionalClassGroup ( ord^num ) -> grp^abl, map()

Conductor ( fld^abl ) -> elt-ids^int/ord^num, seq()

Conductor ( fld^rat ) -> elt-ord^rat

ConjugacyClasses ( grp^abl ) -> seq()

Conjugate ( elt-fld^com ) -> elt-fld^com

Conjugate ( elt-fld^fra, elt-ord^rat ) -> elt-fld^com

Conjugate ( elt-fld^rat ) -> elt-fld^rat

Conjugate ( elt-ord^num, elt-ord^rat ) -> elt-fld^com

Conjugate ( elt-ord^rat ) -> elt-ord^rat

Conjugate ( grp^abl, elt-grp^abl ) -> grp^abl

Conjugates ( elt-fld^fra ) -> seq()

Conjugates ( elt-ord^num ) -> seq()

Conjugates ( grp^abl, elt-grp^abl ) -> seq()

ConstantField ( fld^fun ) -> rng

ConstantFieldExtension ( fld^fun, rng ) -> fld^fun, map()

Content ( elt-alg^pol ) -> elt-ord^rat

Content ( elt-ids^fra/ord^num ) -> elt-ord^rat

ContentAndPrimitivePart ( elt-alg^pol ) -> elt-ord^rat, elt-alg^pol

Contpp ( elt-alg^pol ) -> elt-ord^rat, elt-alg^pol

Convergents ( seq(elt-alg^pol) ) -> elt-alg^mat

Convergents ( seq(elt-ord^rat) ) -> elt-mdl^mat

Converting GAP groups/objects to KASH3

Convolution ( elt-rng^ser, elt-rng^ser ) -> elt-rng^ser

ConwayPolynomial ( elt-ord^rat, elt-ord^rat ) -> elt-alg^pol

Coordinates ( mdl, elt-mdl ) -> seq()

Coordinates ( mdl^mat, elt-mdl^mat ) -> seq()

Coordinates ( mdl^vec, elt-mdl^vec ) -> seq()

CoprimeRepresentative ( elt-ids^int/ord^num, elt-ids^int/ord^num ) -> elt-fld^fra

Copy ( any ) -> any

Cos ( elt-fld^rea ) -> elt-fld^rea

Cos ( elt-rng^ser ) -> elt-rng^ser

Cosec ( elt-fld^rea ) -> elt-fld^rea

Cosec ( elt-rng^ser ) -> elt-rng^ser

Cosech ( elt-fld^rea ) -> elt-fld^rea

Cosh ( elt-fld^com ) -> elt-fld^com

Cosh ( elt-fld^rea ) -> elt-fld^rea

Cosh ( elt-rng^ser ) -> elt-rng^ser

Cot ( elt-fld^rea ) -> elt-fld^rea

Cot ( elt-rng^ser ) -> elt-rng^ser

Coth ( elt-fld^rea ) -> elt-fld^rea

CoveringStructure ( any, any ) -> any

Creating GAP groups/objects

CRT ( elt-ids^int/ord^fun, elt-ids^int/ord^fun, elt-ord^fun, elt-ord^fun ) -> elt-ord^fun

CRT ( elt-ids^int/ord^num, elt-ids^int/ord^num, elt-ord^num, elt-ord^num ) -> elt-ord^num

CRT ( elt-ids^int/ord^num, seq(), elt-ord^num, seq() ) -> elt-ord^num

CRT ( seq(elt-ord^rat), seq(elt-ord^rat) ) -> elt-ord^rat

CycleCount ( string ) -> elt-ord^rat

CycleLengthPermInt ( elt-grp^per, elt-ord^rat ) -> elt-ord^rat

CyclePermInt ( elt-grp^per, elt-ord^rat ) -> list

CyclotomicOrder ( fld^rat ) -> elt-ord^rat

CyclotomicPolynomial ( elt-ord^rat ) -> elt-alg^pol

CyclotomicUnramifiedExtension ( fld^pad, elt-ord^rat ) -> fld^pad

CyclotomicUnramifiedExtension ( ord^pad, elt-ord^rat ) -> ord^pad

CyclotomicUnramifiedExtension ( res^pad, elt-ord^rat ) -> res^pad

Built: Mon Nov 14 21:15:56 UTC 2005 on mack