Minimum discriminants of primitive sextic fields
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.
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