NumberFieldNormRepresentatives[a,m]
gives a list of representatives of classes of algebraic integers of norm in the field
generated by the algebraic number
.


NumberFieldNormRepresentatives
NumberFieldNormRepresentatives[a,m]
gives a list of representatives of classes of algebraic integers of norm in the field
generated by the algebraic number
.
Examples
open all close allScope (4)
Root objects:
AlgebraicNumber objects:
NumberFieldNormRepresentatives automatically threads over lists:
Properties & Relations (5)
It can be represented in terms of the representative by multiplying by a unit:
Obtain all elements of norm in
by multiplying representatives with units:
FindInstance gives all Gaussian integers of norm :
Find an instance of a quadratic equation :
Find the representatives of classes of algebraic integers of norm in
:
Tech Notes
Related Guides
History
Text
Wolfram Research (2007), NumberFieldNormRepresentatives, Wolfram Language function, https://reference.wolfram.com/language/ref/NumberFieldNormRepresentatives.html.
CMS
Wolfram Language. 2007. "NumberFieldNormRepresentatives." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NumberFieldNormRepresentatives.html.
APA
Wolfram Language. (2007). NumberFieldNormRepresentatives. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NumberFieldNormRepresentatives.html
BibTeX
@misc{reference.wolfram_2025_numberfieldnormrepresentatives, author="Wolfram Research", title="{NumberFieldNormRepresentatives}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/NumberFieldNormRepresentatives.html}", note=[Accessed: 08-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_numberfieldnormrepresentatives, organization={Wolfram Research}, title={NumberFieldNormRepresentatives}, year={2007}, url={https://reference.wolfram.com/language/ref/NumberFieldNormRepresentatives.html}, note=[Accessed: 08-August-2025]}