NumberFieldSignature

NumberFieldSignature[a]

gives the signature of the field generated by the algebraic number a.

Details

  • NumberFieldSignature[a] gives a list {s,t} of the number of real roots and the number of pairs of conjugate roots for the minimal polynomial of a.

Examples

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Basic Examples  (2)

Find the signature of the number field :

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A number field with signature :

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Scope  (4)

Applications  (1)

Properties & Relations  (3)

See Also

CountRoots  MinimalPolynomial  NumberFieldDiscriminant  NumberFieldRegulator

Tutorials

Introduced in 2007
(6.0)