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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© 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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