Document Type

Article

Publication Date

2003

Publication Title

Mathematics of Computation

Abstract

We classify septic number fields which are unramified outside of {∞,2,3} by a targeted Hunter search; there are exactly 10 such fields, all with Galois group S7. We also describe separate computations which strongly suggest that none of these fields come from specializing septic genus zero three-point covers.

Volume

72

First Page

1975

Last Page

1985

DOI

https://doi.org/10.1090/S0025-5718-03-01510-2

ISSN

0025-5718

Comments

First published in Mathematics of Computation 72 (2003), published by the American Mathematical Society. © Copyright 2003 American Mathematical Society

Rights

© 2003. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Primo Type

Article

Download

Included in

Mathematics Commons

Share

COinS