Tables of octic fields with a quartic subfield

Cohen, H.; Diaz y Diaz, F.; Olivier, M.

doi:10.1090/S0025-5718-99-01074-1

Tables of octic fields with a quartic subfield
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by H. Cohen, F. Diaz y Diaz and M. Olivier PDF

Math. Comp. 68 (1999), 1701-1716 Request permission

Abstract:

We describe the computation of extended tables of degree 8 fields with a quartic subfield, using class field theory. In particular we find the minimum discriminants for all signatures and for all the possible Galois groups. We also discuss some phenomena and statistics discovered while making the tables, such as the occurrence of 11 non-isomorphic number fields having the same discriminant, or several pairs of non-isomorphic number fields having the same Dedekind zeta function.

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