NumberFieldDiscriminant

NumberFieldDiscriminant[a]

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

Details

  • For a number field with integral basis the discriminant is the determinant of the matrix of traces of products in .
  • The discriminant of a number field is always an integer.

Examples

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Basic Examples  (1)

Find the discriminant of the number field :

In[1]:=
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Out[1]=

Scope  (4)

Applications  (2)

Properties & Relations  (2)

See Also

NumberFieldIntegralBasis  NumberFieldClassNumber  AlgebraicNumberTrace  NumberFieldSignature  NumberFieldRegulator

Tutorials

Introduced in 2007
(6.0)