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The computation of sextic fields with a quadratic subfield. (English) Zbl 0709.11056

The authors refine known methods for computing large tables of relative cubic extensions of quadratic fields for all possible signatures. Those tables contain lots of useful information. Besides a generating polynomial over the quadratic subfield also the Galois group of the normal closure is listed. The authors make various interesting observations on (relative) class numbers. - The tables can be requested from the authors.
Reviewer: M.Pohst

MSC:

11R16 Cubic and quartic extensions
11Y40 Algebraic number theory computations
11-04 Software, source code, etc. for problems pertaining to number theory
11R29 Class numbers, class groups, discriminants
11Y16 Number-theoretic algorithms; complexity
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