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


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

- 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
.
Examples
open all close allScope (4)
Properties & Relations (2)
A list of roots of unity in the field :
Roots of unity are also algebraic integers and units:
Use RootReduce to get canonical complex expressions:
Tech Notes
Related Guides
History
Text
Wolfram Research (2007), NumberFieldRootsOfUnity, Wolfram Language function, https://reference.wolfram.com/language/ref/NumberFieldRootsOfUnity.html.
CMS
Wolfram Language. 2007. "NumberFieldRootsOfUnity." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NumberFieldRootsOfUnity.html.
APA
Wolfram Language. (2007). NumberFieldRootsOfUnity. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NumberFieldRootsOfUnity.html
BibTeX
@misc{reference.wolfram_2025_numberfieldrootsofunity, author="Wolfram Research", title="{NumberFieldRootsOfUnity}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/NumberFieldRootsOfUnity.html}", note=[Accessed: 13-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_numberfieldrootsofunity, organization={Wolfram Research}, title={NumberFieldRootsOfUnity}, year={2007}, url={https://reference.wolfram.com/language/ref/NumberFieldRootsOfUnity.html}, note=[Accessed: 13-August-2025]}