NumberFieldRootsOfUnity

NumberFieldRootsOfUnity[a]

gives the roots of unity for the field generated by the algebraic number a.

Details

Examples

open allclose all

Basic Examples  (2)

Scope  (4)

Radical expressions:

Root objects:

AlgebraicNumber objects:

NumberFieldRootsOfUnity automatically threads over lists:

Properties & Relations  (2)

A list of roots of unity in the field :

Roots of unity are also algebraic integers and units:

And they all have norm :

Use RootReduce to get canonical complex expressions:

Introduced in 2007
 (6.0)