NumberFieldNormRepresentatives

NumberFieldNormRepresentatives[a,m]
gives a list of representatives of classes of algebraic integers of norm +/-m in the field generated by the algebraic number a.

DetailsDetails

  • Algebraic integers are considered to be in the same class if their quotient is a unit in the field .
  • All elements of the number field with norm +/-m can be obtained from the representatives by multiplication by units in the field.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

Find the representatives of classes of algebraic integers of norm in :

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Introduced in 2007
(6.0)
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