gives the regulator of the field generated by the algebraic number a.
NumberFieldRegulator
gives the regulator of the field generated by the algebraic number a.
Examples
open all close allBasic Examples (1)
Find the regulator of the field :
Scope (4)
Radical objects:
Root objects:
AlgebraicNumber objects:
NumberFieldRegulator automatically threads over lists:
Applications (2)
Find the volume of the fundamental domain of the lattice generated by fundamental units:
The Dirichlet L-functions at 1 for the real primitive character Mod13:
Properties & Relations (2)
The regulator of an imaginary quadratic field is 1:
Use ToNumberField to find the regulator of the field :
Tech Notes
Related Guides
History
Text
Wolfram Research (2007), NumberFieldRegulator, Wolfram Language function, https://reference.wolfram.com/language/ref/NumberFieldRegulator.html.
CMS
Wolfram Language. 2007. "NumberFieldRegulator." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NumberFieldRegulator.html.
APA
Wolfram Language. (2007). NumberFieldRegulator. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NumberFieldRegulator.html
BibTeX
@misc{reference.wolfram_2025_numberfieldregulator, author="Wolfram Research", title="{NumberFieldRegulator}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/NumberFieldRegulator.html}", note=[Accessed: 11-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_numberfieldregulator, organization={Wolfram Research}, title={NumberFieldRegulator}, year={2007}, url={https://reference.wolfram.com/language/ref/NumberFieldRegulator.html}, note=[Accessed: 11-January-2026]}