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Groebner Bases over cyclotomic fields

Groebner Bases over cyclotomic fields

gvercley · Thu Apr 01, 2021 12:29 am

Does singular have any support for finding Groebner bases of a system of polynomials over a cyclotomic field?

Re: Groebner Bases over cyclotomic fields

hannes · Sun Apr 04, 2021 4:38 pm

1: find an (irreducble) minimal polynomial for your cyclotomic field, say f(a)
2:
Code:
rinR=(0,a),(....),(...);
minpoly=fa(a);