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On the computation of a table of complex cubic fields with discriminant \(D>-10^ 6\). (English) Zbl 0705.11063

Authors’ summary: A method for finding all the nonisomorphic complex cubic fields with discriminant \(D>-10^ 6\) is described. Three different methods were used to find the class number of each of these fields. The speed of these techniques is discussed and several tables illustrating the computational results are presented. These include tables of the distribution of the fields and the class numbers and the class group structures of these fields.
Reviewer: T.Lepistö

MSC:

11R16 Cubic and quartic extensions
11Y40 Algebraic number theory computations
11R29 Class numbers, class groups, discriminants
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