Journal of Number Theory
We compute all octic extensions of Q2 and find that there are 1823 of them up to isomorphism. We compute the associated Galois group of each field, slopes measuring wild ramification, and other quantities. We present summarizing tables here with complete information available at our online database of local fields.
Copyright © 2008 Elsevier Inc. All rights reserved.
John W. Jones and David P. Roberts. Octic 2-adic fields. Journal of Number Theory 128 (2008), no. 6, 1410-1429.