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Septic Fields With Discriminant ±2A3B, John W. Jones, David P. Roberts

Mathematics Publications

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.