Express arbitrary number in complex filed as a cyclotomic polynomial.

Questions
1

GAP system uses Cyclotomic Numbers for Trace (character table) related computation. So, I want to know if I can convert the express of arbitrary number in complex filed, e.g., 3^(1/7), into a cyclotomic polynomial with the help of Wolfram language, so that I can use it conveniently in GAP.

Regards,
HZ

2

You can find the minimal polynomial, but it will not always be cyclotomic.

3

How to do it? Can you give me an example?

4

Check documentation for MinimalPolynomial.