Com­put­ing quad­rat­ic sub­fields of num­ber fields

Here we provide the Magma code and the examples of this work. In order to run the code you have to download

cyclic subfields_hp.m

After starting magma type

load “cyclic_subfields_hp.m”;

 

The used examples can be downloaded here:

examples of degree 16

examples of degree 18

examples of degree 20

higher degree examples

 

The scientific content is given in the following article:

A.-S. Elsenhans, J. Klüners, Computing quadratic subfields of number fields, ArXiv:1907.13383 (2019).