Septic fields with discriminant ±2a3b

John W. Jones, David P. Roberts

    Research output: Contribution to journalArticlepeer-review

    9 Scopus citations

    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.

    Original languageEnglish (US)
    Pages (from-to)1975-1985
    Number of pages11
    JournalMathematics of Computation
    Volume72
    Issue number244
    DOIs
    StatePublished - Oct 2003

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