NumberFieldIntegralBasis

NumberFieldIntegralBasis[a]

gives an integral basis for the field generated by the algebraic number a.

Details

Examples

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Basic Examples  (1)

Find an integral basis for the field :

Scope  (4)

Radical objects:

Root objects:

AlgebraicNumber objects:

NumberFieldIntegralBasis threads over lists:

Properties & Relations  (3)

Elements of an integral basis are all algebraic integers:

Algebraic integers are linear combinations of elements of the integral basis:

Use ToNumberField to find an integral basis for the field :

Introduced in 2007
 (6.0)