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The minimum discriminant of number fields of degree 8 and signature (2,3)
In this paper we describe how to use the algorithmic methods provided by
Hunter and Pohst in order to give a complete classification of number fields of
degree 8 and signature (2,3) with absolute discriminant less than a certain
bound. The choice of this bound comes from the local corrections given by prime
ideals to the lower estimates for discriminants obtained with the
Odlyzko-Poitou-Serre method.Comment: 8 pages: shortened with respect to the previous version, some known
theoretical details have been transferred on the website together with tables
and dat
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