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NumberFieldRootsOfUnity

NumberFieldRootsOfUnity[a]
gives the roots of unity for the field generated by the algebraic number .
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Radical expressions:
Root objects:
NumberFieldRootsOfUnity automatically threads over lists:
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:
New in 6