NumberFieldRegulator

NumberFieldRegulator[a]

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

Examples

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Basic Examples  (1)

Find the regulator of the field :

Scope  (4)

Radical objects:

Root objects:

AlgebraicNumber objects:

NumberFieldRegulator automatically threads over lists:

Applications  (2)

Find the volume of the fundamental domain of the lattice generated by fundamental units:

The Dirichlet L-functions at 1 for the real primitive character Mod13:

Properties & Relations  (2)

The regulator of an imaginary quadratic field is 1:

Use ToNumberField to find the regulator of the field :

Introduced in 2007
 (6.0)