ANTS 2004: Algorithmic Number Theory
We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.
© Springer-Verlag Berlin Heidelberg 2004
John W. Jones and David P. Roberts. Nonic 3-adic Fields. In ANTS VI: Algorithmic Number Theory. Berlin: Springer (2004), 293-308.