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Minimum discriminants of primitive sextic fields

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Book cover Algorithmic Number Theory (ANTS 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1122))

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Abstract

A computation lasting nearly two CPU-years has determined the totally real degree 6 algebraic number field of minimum discriminant with Galois group S5. The S5 sextic fields of minimum discriminant have also been determined for signatures (0,3) and (2, 2). The enumeration of primitive sextic fields of minimum discriminant is now complete for all combinations of Galois group and signature.

Research supported by the Natural Sciences and Engineering Research Council (Canada) and Fonds pour la Formation de Chercheurs et l'Aide à la Recherche (Québec).

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References

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Authors and Affiliations

  1. Centre Interuniversitaire en Calcul Mathématique Algébrique, Department of Computer Science, Concordia University, H3G 1M8, Montréal, Québec, Canada

    David Ford

Authors
  1. David Ford
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Henri Cohen

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© 1996 Springer-Verlag Berlin Heidelberg

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Ford, D. (1996). Minimum discriminants of primitive sextic fields. In: Cohen, H. (eds) Algorithmic Number Theory. ANTS 1996. Lecture Notes in Computer Science, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61581-4_49

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  • DOI: https://doi.org/10.1007/3-540-61581-4_49

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61581-1

  • Online ISBN: 978-3-540-70632-8

  • eBook Packages: Springer Book Archive

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