Uses of Class
edu.jas.poly.AlgebraicNumber

Packages that use AlgebraicNumber

Package	Description
edu.jas.application	Groebner base application package.
edu.jas.integrate	Elementary Integration package.
edu.jas.poly	Generic coefficients polynomial package.
edu.jas.root	Real and Complex Root Computation package.
edu.jas.ufd	Unique factorization domain package.
edu.jas.ufdroot	Unique Factorization Domain and Roots package.

Uses of AlgebraicNumber in edu.jas.application

Subclasses with type arguments of type AlgebraicNumber in edu.jas.application

Modifier and Type	Class	Description
class	FactorAlgebraicPrim<C extends GcdRingElem<C>>	Algebraic number coefficients factorization algorithms.

Classes in edu.jas.application that implement interfaces with type arguments of type AlgebraicNumber

Modifier and Type	Class	Description
(package private) class	CoeffConvertAlg<C extends GcdRingElem<C>>	Coefficient to convert algebriac functor.
(package private) class	CoeffConvertAlg<C extends GcdRingElem<C>>	Coefficient to convert algebriac functor.
(package private) class	CoeffRecConvertAlg<C extends GcdRingElem<C>>	Coefficient recursive to convert algebriac functor.
(package private) class	CoeffRecConvertAlg<C extends GcdRingElem<C>>	Coefficient recursive to convert algebriac functor.
(package private) class	CoeffRecConvertAlg<C extends GcdRingElem<C>>	Coefficient recursive to convert algebriac functor.

Fields in edu.jas.application declared as AlgebraicNumber

Modifier and Type	Field	Description
protected final AlgebraicNumber<C>	CoeffConvertAlg.A
protected final AlgebraicNumber<C>	CoeffRecConvertAlg.A
final AlgebraicNumber<C>	PrimitiveElement.A	The representation of the first algebraic element in the new ring.
protected final AlgebraicNumber<C>	CoeffRecConvertAlg.B
final AlgebraicNumber<C>	PrimitiveElement.B	The representation of the second algebraic element in the new ring.

Fields in edu.jas.application with type parameters of type AlgebraicNumber

Modifier and Type	Field	Description
final List<AlgebraicNumber<C>>	AlgebraicRootsPrimElem.runit	Roots of unity of primitive element origin representations.

Methods in edu.jas.application that return AlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> AlgebraicNumber<C>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> AlgebraicNumber<C>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, AlgebraicNumber<AlgebraicNumber<C>> a)	Convert to primitive element ring.
AlgebraicNumber<C>	CoeffConvertAlg.eval(AlgebraicNumber<C> c)
AlgebraicNumber<C>	CoeffRecConvertAlg.eval(AlgebraicNumber<AlgebraicNumber<C>> c)

Methods in edu.jas.application that return types with arguments of type AlgebraicNumber

Modifier and Type	Method	Description
List<GenPolynomial<AlgebraicNumber<C>>>	FactorAlgebraicPrim.baseFactorsSquarefree(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, GenPolynomial<AlgebraicNumber<AlgebraicNumber<C>>> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, GenPolynomial<AlgebraicNumber<C>> a)	Convert coefficients to primitive element ring.
static <C extends GcdRingElem<C>> FactorAbstract<AlgebraicNumber<C>>	FactorFactory.getImplementation(AlgebraicNumberRing<C> fac)	Determine suitable implementation of factorization algorithms, case AlgebraicNumber<C>.

Methods in edu.jas.application with parameters of type AlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> AlgebraicNumber<C>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> AlgebraicNumber<C>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, AlgebraicNumber<AlgebraicNumber<C>> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, GenPolynomial<AlgebraicNumber<AlgebraicNumber<C>>> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, GenPolynomial<AlgebraicNumber<C>> a)	Convert coefficients to primitive element ring.
AlgebraicNumber<C>	CoeffConvertAlg.eval(AlgebraicNumber<C> c)
AlgebraicNumber<C>	CoeffRecConvertAlg.eval(AlgebraicNumber<AlgebraicNumber<C>> c)

Method parameters in edu.jas.application with type arguments of type AlgebraicNumber

Modifier and Type	Method	Description
List<GenPolynomial<AlgebraicNumber<C>>>	FactorAlgebraicPrim.baseFactorsSquarefree(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, GenPolynomial<AlgebraicNumber<AlgebraicNumber<C>>> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, GenPolynomial<AlgebraicNumber<AlgebraicNumber<C>>> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, GenPolynomial<AlgebraicNumber<C>> a)	Convert coefficients to primitive element ring.
AlgebraicNumber<C>	CoeffRecConvertAlg.eval(AlgebraicNumber<AlgebraicNumber<C>> c)
static <C extends GcdRingElem<C>> PrimitiveElement<C>	PolyUtilApp.primitiveElement(AlgebraicNumberRing<AlgebraicNumber<C>> b)	Construct primitive element for double field extension.

Constructors in edu.jas.application with parameters of type AlgebraicNumber

Modifier	Constructor	Description
	CoeffConvertAlg(AlgebraicNumberRing<C> fac, AlgebraicNumber<C> a)
	CoeffRecConvertAlg(AlgebraicNumberRing<C> fac, AlgebraicNumber<C> a, AlgebraicNumber<C> b)
protected	PrimitiveElement(AlgebraicNumberRing<C> pe, AlgebraicNumber<C> A, AlgebraicNumber<C> B)	Constructor.
protected	PrimitiveElement(AlgebraicNumberRing<C> pe, AlgebraicNumber<C> A, AlgebraicNumber<C> B, AlgebraicNumberRing<C> ar, AlgebraicNumberRing<C> br)	Constructor.

Constructor parameters in edu.jas.application with type arguments of type AlgebraicNumber

Modifier	Constructor	Description
	AlgebraicRootsPrimElem(AlgebraicRoots<C> ar, PrimitiveElement<C> pe, List<AlgebraicNumber<C>> ru)	Constructor.

Uses of AlgebraicNumber in edu.jas.integrate

Fields in edu.jas.integrate with type parameters of type AlgebraicNumber

Modifier and Type	Field	Description
final List<GenPolynomial<AlgebraicNumber<C>>>	LogIntegral.adenom	List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.
final List<AlgebraicNumber<C>>	LogIntegral.afactors	List of algebraic numbers of an algebraic field extension over C.

Uses of AlgebraicNumber in edu.jas.poly

Classes in edu.jas.poly that implement interfaces with type arguments of type AlgebraicNumber

Modifier and Type	Class	Description
class	AlgebraicNumber<C extends RingElem<C>>	Algebraic number class.
(package private) class	AlgebraicNumberIterator<C extends RingElem<C>>	Algebraic number iterator.
class	AlgebraicNumberRing<C extends RingElem<C>>	Algebraic number factory.
class	AlgebraicNumberRing<C extends RingElem<C>>	Algebraic number factory.
(package private) class	AlgebToCompl<C extends GcdRingElem<C>>	Algebraic to generic complex functor.
(package private) class	AlgToPoly<C extends GcdRingElem<C>>	Algebraic to polynomial functor.
(package private) class	CoeffToAlg<C extends GcdRingElem<C>>	Coefficient to algebriac functor.
(package private) class	CoeffToRecAlg<C extends GcdRingElem<C>>	Coefficient to recursive algebriac functor.
(package private) class	ComplToAlgeb<C extends GcdRingElem<C>>	Ceneric complex to algebraic number functor.
(package private) class	PolyToAlg<C extends GcdRingElem<C>>	Polynomial to algebriac functor.

Fields in edu.jas.poly declared as AlgebraicNumber

Modifier and Type	Field	Description
protected final AlgebraicNumber<C>	ComplToAlgeb.I

Methods in edu.jas.poly that return AlgebraicNumber

Modifier and Type	Method	Description
AlgebraicNumber<C>	AlgebraicNumber.abs()	AlgebraicNumber absolute value.
AlgebraicNumber<C>	AlgebraicNumberRing.chineseRemainder(AlgebraicNumber<C> c, AlgebraicNumber<C> ci, AlgebraicNumber<C> a)	AlgebraicNumber chinese remainder algorithm.
AlgebraicNumber<C>	AlgebraicNumber.copy()	Copy this.
AlgebraicNumber<C>	AlgebraicNumberRing.copy(AlgebraicNumber<C> c)	Copy AlgebraicNumber element c.
AlgebraicNumber<C>	AlgebraicNumber.divide(AlgebraicNumber<C> S)	AlgebraicNumber division.
AlgebraicNumber<C>[]	AlgebraicNumber.egcd(AlgebraicNumber<C> S)	AlgebraicNumber extended greatest common divisor.
AlgebraicNumber<C>	CoeffToAlg.eval(C c)
AlgebraicNumber<C>	CoeffToRecAlg.eval(C c)
AlgebraicNumber<C>	ComplToAlgeb.eval(Complex<C> c)
AlgebraicNumber<C>	PolyToAlg.eval(GenPolynomial<C> c)
AlgebraicNumber<C>	AlgebraicNumberRing.fillFromInteger(long a)	Get a AlgebraicNumber element from a long value.
AlgebraicNumber<C>	AlgebraicNumberRing.fillFromInteger(BigInteger a)	Get an AlgebraicNumber element from a BigInteger value.
AlgebraicNumber<C>	AlgebraicNumberRing.fromInteger(long a)	Get a AlgebraicNumber element from a long value.
AlgebraicNumber<C>	AlgebraicNumberRing.fromInteger(BigInteger a)	Get a AlgebraicNumber element from a BigInteger value.
AlgebraicNumber<C>	AlgebraicNumber.gcd(AlgebraicNumber<C> S)	AlgebraicNumber greatest common divisor.
AlgebraicNumber<C>	AlgebraicNumberRing.getGenerator()	Get the generating element.
AlgebraicNumber<C>	AlgebraicNumberRing.getONE()	Get the one element.
AlgebraicNumber<C>	AlgebraicNumberRing.getZERO()	Get the zero element.
AlgebraicNumber<C>	AlgebraicNumberRing.interpolate(AlgebraicNumber<C> c, C ci, C am, C a)	AlgebraicNumber interpolation algorithm.
AlgebraicNumber<C>	AlgebraicNumber.inverse()	AlgebraicNumber inverse.
AlgebraicNumber<C>	AlgebraicNumber.monic()	AlgebraicNumber monic.
AlgebraicNumber<C>	AlgebraicNumber.multiply(C c)	AlgebraicNumber multiplication.
AlgebraicNumber<C>	AlgebraicNumber.multiply(AlgebraicNumber<C> S)	AlgebraicNumber multiplication.
AlgebraicNumber<C>	AlgebraicNumber.multiply(GenPolynomial<C> c)	AlgebraicNumber multiplication.
AlgebraicNumber<C>	AlgebraicNumber.negate()	AlgebraicNumber negate.
AlgebraicNumber<C>	AlgebraicNumberIterator.next()	Get next tuple.
AlgebraicNumber<C>	AlgebraicNumberRing.parse(Reader r)	Parse AlgebraicNumber from Reader.
AlgebraicNumber<C>	AlgebraicNumberRing.parse(String s)	Parse AlgebraicNumber from String.
AlgebraicNumber<C>[]	AlgebraicNumber.quotientRemainder(AlgebraicNumber<C> S)	Quotient and remainder by division of this by S.
AlgebraicNumber<C>	AlgebraicNumberRing.random(int n)	AlgebraicNumber random.
AlgebraicNumber<C>	AlgebraicNumberRing.random(int n, Random rnd)	AlgebraicNumber random.
AlgebraicNumber<C>	AlgebraicNumber.remainder(AlgebraicNumber<C> S)	AlgebraicNumber remainder.
AlgebraicNumber<C>	AlgebraicNumber.subtract(AlgebraicNumber<C> S)	AlgebraicNumber subtraction.
AlgebraicNumber<C>	AlgebraicNumber.sum(C c)	AlgebraicNumber summation.
AlgebraicNumber<C>	AlgebraicNumber.sum(AlgebraicNumber<C> S)	AlgebraicNumber summation.
AlgebraicNumber<C>	AlgebraicNumber.sum(GenPolynomial<C> c)	AlgebraicNumber summation.

Methods in edu.jas.poly that return types with arguments of type AlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.algebraicFromComplex(GenPolynomialRing<AlgebraicNumber<C>> fac, GenPolynomial<Complex<C>> A)	AlgebraicNumber from complex coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.convertRecursiveToAlgebraicCoefficients(GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<GenPolynomial<C>> A)	Convert to AlgebraicNumber coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.convertToAlgebraicCoefficients(GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to AlgebraicNumber coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.convertToRecAlgebraicCoefficients(int depth, GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to recursive AlgebraicNumber coefficients.
List<AlgebraicNumber<C>>	AlgebraicNumberRing.generators()	Get a list of the generating elements.
Iterator<AlgebraicNumber<C>>	AlgebraicNumberRing.iterator()	Get a AlgebraicNumber iterator.

Methods in edu.jas.poly with parameters of type AlgebraicNumber

Modifier and Type	Method	Description
AlgebraicNumber<C>	AlgebraicNumberRing.chineseRemainder(AlgebraicNumber<C> c, AlgebraicNumber<C> ci, AlgebraicNumber<C> a)	AlgebraicNumber chinese remainder algorithm.
int	AlgebraicNumber.compareTo(AlgebraicNumber<C> b)	AlgebraicNumber comparison.
AlgebraicNumber<C>	AlgebraicNumberRing.copy(AlgebraicNumber<C> c)	Copy AlgebraicNumber element c.
AlgebraicNumber<C>	AlgebraicNumber.divide(AlgebraicNumber<C> S)	AlgebraicNumber division.
AlgebraicNumber<C>[]	AlgebraicNumber.egcd(AlgebraicNumber<C> S)	AlgebraicNumber extended greatest common divisor.
Complex<C>	AlgebToCompl.eval(AlgebraicNumber<C> a)
GenPolynomial<C>	AlgToPoly.eval(AlgebraicNumber<C> c)
AlgebraicNumber<C>	AlgebraicNumber.gcd(AlgebraicNumber<C> S)	AlgebraicNumber greatest common divisor.
AlgebraicNumber<C>	AlgebraicNumberRing.interpolate(AlgebraicNumber<C> c, C ci, C am, C a)	AlgebraicNumber interpolation algorithm.
AlgebraicNumber<C>	AlgebraicNumber.multiply(AlgebraicNumber<C> S)	AlgebraicNumber multiplication.
AlgebraicNumber<C>[]	AlgebraicNumber.quotientRemainder(AlgebraicNumber<C> S)	Quotient and remainder by division of this by S.
AlgebraicNumber<C>	AlgebraicNumber.remainder(AlgebraicNumber<C> S)	AlgebraicNumber remainder.
AlgebraicNumber<C>	AlgebraicNumber.subtract(AlgebraicNumber<C> S)	AlgebraicNumber subtraction.
AlgebraicNumber<C>	AlgebraicNumber.sum(AlgebraicNumber<C> S)	AlgebraicNumber summation.

Method parameters in edu.jas.poly with type arguments of type AlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.algebraicFromComplex(GenPolynomialRing<AlgebraicNumber<C>> fac, GenPolynomial<Complex<C>> A)	AlgebraicNumber from complex coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<Complex<C>>	PolyUtil.complexFromAlgebraic(GenPolynomialRing<Complex<C>> fac, GenPolynomial<AlgebraicNumber<C>> A)	Complex from algebraic coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.convertRecursiveToAlgebraicCoefficients(GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<GenPolynomial<C>> A)	Convert to AlgebraicNumber coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.convertToAlgebraicCoefficients(GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to AlgebraicNumber coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.convertToRecAlgebraicCoefficients(int depth, GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to recursive AlgebraicNumber coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<GenPolynomial<C>>	PolyUtil.fromAlgebraicCoefficients(GenPolynomialRing<GenPolynomial<C>> rfac, GenPolynomial<AlgebraicNumber<C>> A)	From AlgebraicNumber coefficients.

Uses of AlgebraicNumber in edu.jas.root

Classes in edu.jas.root that implement interfaces with type arguments of type AlgebraicNumber

Modifier and Type	Class	Description
(package private) class	AlgFromRealCoeff<C extends GcdRingElem<C> & Rational>	Coefficient to algebraic from real algebraic functor.
(package private) class	RealFromAlgCoeff<C extends GcdRingElem<C> & Rational>	Coefficient to real algebriac from algebraic functor.

Fields in edu.jas.root declared as AlgebraicNumber

Modifier and Type	Field	Description
final AlgebraicNumber<Complex<C>>	ComplexAlgebraicNumber.number	Representing AlgebraicNumber.
final AlgebraicNumber<C>	RealAlgebraicNumber.number	Representing AlgebraicNumber.
protected final AlgebraicNumber<Complex<C>>	CoeffToComplex.zero
protected final AlgebraicNumber<Complex<C>>	CoeffToComplexFromComplex.zero
protected final AlgebraicNumber<C>	CoeffToReal.zero

Methods in edu.jas.root that return AlgebraicNumber

Modifier and Type	Method	Description
AlgebraicNumber<C>	AlgFromRealCoeff.eval(RealAlgebraicNumber<C> c)

Methods in edu.jas.root that return types with arguments of type AlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C> & Rational> GenPolynomial<AlgebraicNumber<C>>	PolyUtilRoot.algebraicFromRealCoefficients(GenPolynomialRing<AlgebraicNumber<C>> afac, GenPolynomial<RealAlgebraicNumber<C>> A)	Convert to AlgebraicNumber coefficients.

Methods in edu.jas.root with parameters of type AlgebraicNumber

Modifier and Type	Method	Description
int	ComplexAlgebraicNumber.compareTo(AlgebraicNumber<Complex<C>> b)	ComplexAlgebraicNumber comparison.
int	RealAlgebraicNumber.compareTo(AlgebraicNumber<C> b)	RealAlgebraicNumber comparison.
RealAlgebraicNumber<C>	RealFromAlgCoeff.eval(AlgebraicNumber<C> c)
ComplexAlgebraicNumber<C>	ComplexAlgebraicNumber.sum(AlgebraicNumber<Complex<C>> c)	ComplexAlgebraicNumber summation.

Method parameters in edu.jas.root with type arguments of type AlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C> & Rational> GenPolynomial<AlgebraicNumber<C>>	PolyUtilRoot.algebraicFromRealCoefficients(GenPolynomialRing<AlgebraicNumber<C>> afac, GenPolynomial<RealAlgebraicNumber<C>> A)	Convert to AlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.realFromAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> rfac, GenPolynomial<AlgebraicNumber<C>> A)	Convert to RealAlgebraicNumber coefficients.

Constructors in edu.jas.root with parameters of type AlgebraicNumber

Modifier	Constructor	Description
	ComplexAlgebraicNumber(ComplexAlgebraicRing<C> r, AlgebraicNumber<Complex<C>> a)	The constructor creates a ComplexAlgebraicNumber object from ComplexAlgebraicRing modul and a AlgebraicNumber value.
	RealAlgebraicNumber(RealAlgebraicRing<C> r, AlgebraicNumber<C> a)	The constructor creates a RealAlgebraicNumber object from RealAlgebraicRing modul and a AlgebraicNumber value.

Uses of AlgebraicNumber in edu.jas.ufd

Subclasses with type arguments of type AlgebraicNumber in edu.jas.ufd

Modifier and Type	Class	Description
class	FactorAlgebraic<C extends GcdRingElem<C>>	Algebraic number coefficients factorization algorithms.
class	SquarefreeInfiniteAlgebraicFieldCharP<C extends GcdRingElem<C>>	Squarefree decomposition for algebraic extensions of infinite coefficient fields of characteristic p > 0.

Fields in edu.jas.ufd with type parameters of type AlgebraicNumber

Modifier and Type	Field	Description
final List<GenPolynomial<AlgebraicNumber<C>>>	PartialFraction.adenom	List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.
final List<GenPolynomial<AlgebraicNumber<C>>>	Factors.afactors	List of factors with coefficients from AlgebraicNumberRing<C>.
final List<AlgebraicNumber<C>>	PartialFraction.afactors	List of algebraic numbers of an algebraic field extension over C.
final GenPolynomial<AlgebraicNumber<C>>	Factors.apoly	Original polynomial to be factored with coefficients from AlgebraicNumberRing<C>.
final List<Factors<AlgebraicNumber<C>>>	Factors.arfactors	List of factors with coefficients from AlgebraicNumberRing<AlgebraicNumber<C>>.
final FactorAbstract<AlgebraicNumber<C>>	FactorComplex.factorAlgeb	Factorization engine for algebraic coefficients.

Methods in edu.jas.ufd that return types with arguments of type AlgebraicNumber

Modifier and Type	Method	Description
List<GenPolynomial<AlgebraicNumber<C>>>	FactorAlgebraic.baseFactorsSquarefree(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.
GenPolynomial<AlgebraicNumber<C>>	SquarefreeInfiniteAlgebraicFieldCharP.baseRootCharacteristic(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial char-th root univariate polynomial.
List<GenPolynomial<AlgebraicNumber<C>>>	FactorAlgebraic.factorsSquarefree(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial factorization of a squarefree polynomial.
Factors<AlgebraicNumber<C>>	Factors.getFactor(GenPolynomial<AlgebraicNumber<C>> p)	Get the factor for polynomial.
List<GenPolynomial<AlgebraicNumber<C>>>	Factors.getFactors()	Get the list of factors at one level.
static <C extends GcdRingElem<C>> FactorAbstract<AlgebraicNumber<C>>	FactorFactory.getImplementation(AlgebraicNumberRing<C> fac)	Determine suitable implementation of factorization algorithms, case AlgebraicNumber<C>.
static <C extends GcdRingElem<C>> SquarefreeAbstract<AlgebraicNumber<C>>	SquarefreeFactory.getImplementation(AlgebraicNumberRing<C> fac)	Determine suitable implementation of squarefree factorization algorithms, case AlgebraicNumber<C>.
GenPolynomial<GenPolynomial<AlgebraicNumber<C>>>	SquarefreeInfiniteAlgebraicFieldCharP.recursiveUnivariateRootCharacteristic(GenPolynomial<GenPolynomial<AlgebraicNumber<C>>> P)	GenPolynomial char-th root univariate polynomial with polynomial coefficients.
SortedMap<AlgebraicNumber<C>, Long>	SquarefreeInfiniteAlgebraicFieldCharP.rootCharacteristic(AlgebraicNumber<C> P)	Characteristics root of a AlgebraicNumber.
GenPolynomial<AlgebraicNumber<C>>	SquarefreeInfiniteAlgebraicFieldCharP.rootCharacteristic(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial char-th root main variable.
SortedMap<AlgebraicNumber<C>, Long>	SquarefreeInfiniteAlgebraicFieldCharP.squarefreeFactors(AlgebraicNumber<C> P)	Squarefree factors of a AlgebraicNumber.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUfdUtil.substituteConvertToAlgebraicCoefficients(GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<C> A, long k)	Convert to AlgebraicNumber coefficients.

Methods in edu.jas.ufd with parameters of type AlgebraicNumber

Modifier and Type	Method	Description
SortedMap<AlgebraicNumber<C>, Long>	SquarefreeInfiniteAlgebraicFieldCharP.rootCharacteristic(AlgebraicNumber<C> P)	Characteristics root of a AlgebraicNumber.
SortedMap<AlgebraicNumber<C>, Long>	SquarefreeInfiniteAlgebraicFieldCharP.squarefreeFactors(AlgebraicNumber<C> P)	Squarefree factors of a AlgebraicNumber.

Method parameters in edu.jas.ufd with type arguments of type AlgebraicNumber

Modifier and Type	Method	Description
List<GenPolynomial<AlgebraicNumber<C>>>	FactorAlgebraic.baseFactorsSquarefree(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.
GenPolynomial<AlgebraicNumber<C>>	SquarefreeInfiniteAlgebraicFieldCharP.baseRootCharacteristic(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial char-th root univariate polynomial.
List<GenPolynomial<AlgebraicNumber<C>>>	FactorAlgebraic.factorsSquarefree(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial factorization of a squarefree polynomial.
Factors<AlgebraicNumber<C>>	Factors.getFactor(GenPolynomial<AlgebraicNumber<C>> p)	Get the factor for polynomial.
static <C extends GcdRingElem<C>> GenPolynomial<C>	PolyUfdUtil.norm(GenPolynomial<AlgebraicNumber<C>> A)	Norm of a polynomial with AlgebraicNumber coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<C>	PolyUfdUtil.norm(GenPolynomial<AlgebraicNumber<C>> A, long k)	Norm of a polynomial with AlgebraicNumber coefficients.
GenPolynomial<GenPolynomial<AlgebraicNumber<C>>>	SquarefreeInfiniteAlgebraicFieldCharP.recursiveUnivariateRootCharacteristic(GenPolynomial<GenPolynomial<AlgebraicNumber<C>>> P)	GenPolynomial char-th root univariate polynomial with polynomial coefficients.
GenPolynomial<AlgebraicNumber<C>>	SquarefreeInfiniteAlgebraicFieldCharP.rootCharacteristic(GenPolynomial<AlgebraicNumber<C>> P)	GenPolynomial char-th root main variable.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUfdUtil.substituteConvertToAlgebraicCoefficients(GenPolynomialRing<AlgebraicNumber<C>> pfac, GenPolynomial<C> A, long k)	Convert to AlgebraicNumber coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<GenPolynomial<C>>	PolyUfdUtil.substituteFromAlgebraicCoefficients(GenPolynomialRing<GenPolynomial<C>> rfac, GenPolynomial<AlgebraicNumber<C>> A, long k)	From AlgebraicNumber coefficients.

Constructor parameters in edu.jas.ufd with type arguments of type AlgebraicNumber

Modifier	Constructor	Description
	FactorComplex(ComplexRing<C> fac, FactorAbstract<AlgebraicNumber<C>> factorAlgeb)	Constructor.
	Factors(GenPolynomial<C> p, AlgebraicNumberRing<C> af, GenPolynomial<AlgebraicNumber<C>> ap, List<GenPolynomial<AlgebraicNumber<C>>> afact)	Constructor.
	Factors(GenPolynomial<C> p, AlgebraicNumberRing<C> af, GenPolynomial<AlgebraicNumber<C>> ap, List<GenPolynomial<AlgebraicNumber<C>>> afact, List<Factors<AlgebraicNumber<C>>> arfact)	Constructor.
	SquarefreeInfiniteAlgebraicFieldCharP(RingFactory<AlgebraicNumber<C>> fac)	Constructor.

Uses of AlgebraicNumber in edu.jas.ufdroot

Fields in edu.jas.ufdroot with type parameters of type AlgebraicNumber

Modifier and Type	Field	Description
final FactorAbstract<AlgebraicNumber<C>>	FactorRealAlgebraic.factorAlgebraic	Factorization engine for base coefficients.

Constructor parameters in edu.jas.ufdroot with type arguments of type AlgebraicNumber

Modifier	Constructor	Description
	FactorRealAlgebraic(RealAlgebraicRing<C> fac, FactorAbstract<AlgebraicNumber<C>> factorAlgebraic)	Constructor.