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Mathematica > Mathematics and Algorithms > Number Theory > Algebraic Number Theory >

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NumberFieldRootsOfUnity

NumberFieldRootsOfUnity[a]
gives the roots of unity for the field

generated by the algebraic number

NumberFieldRootsOfUnity gives a list of all algebraic numbers in the field for which for some .

NumberFieldRootsOfUnity returns any other than as AlgebraicNumber objects in the field .

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: