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Cyclotomic -- cyclotomic fields

Description

Cyclotomic is a package for cyclotomic fields. It is used in to construct extensions of the coefficient field during binomial primary decomposition using the package Binomials.

Author

Version

This documentation describes version 1.0 of Cyclotomic, released February 2012.

Citation

If you have used this package in your research, please cite it as follows:

@misc{CyclotomicSource,
  title = {{Cyclotomic: cyclotomic fields. Version~1.0}},
  author = {Thomas Kahle},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/stable/M2/Macaulay2/packages}}
}

Exports

  • Functions and commands
    • cyclotomicField -- cyclotomic field construction
    • cyclotomicPoly -- Cyclotomic Polynomial
    • findRootPower -- Find the order of the root in the coefficients of polynomial ring over a cyclotomic field
    • joinCyclotomic -- Join ideals in polynomial rings over different cyclotomic fields

For the programmer

The object Cyclotomic is a package, defined in Cyclotomic.m2.

The source of this document is in Cyclotomic.m2:155:0.