Mathematica > Mathematics and Algorithms > Number Theory > Algebraic Number Theory > NumberFieldNormRepresentatives
Mathematica > Mathematics and Algorithms > Mathematical Functions > Number Theoretic Functions > Algebraic Number Theory > NumberFieldNormRepresentatives
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NumberFieldNormRepresentatives

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

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 can be obtained from the representatives by multiplication by units in the field.
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