Bergé, A.-M.; Martinet, J.; Olivier, M. The computation of sextic fields with a quadratic subfield. (English) Zbl 0709.11056 Math. Comput. 54, No. 190, 869-884 (1990). 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 Cited in 3 ReviewsCited in 16 Documents 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 Keywords:discriminants; tables; relative cubic extensions of quadratic fields; quadratic subfield; Galois group; (relative) class numbers × Cite Format Result Cite Review PDF Full Text: DOI