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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

- Thomas Kahle <thomas.kahle@jpberlin.de>

## 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 /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/Cyclotomic.m2:155:0.