Fung, Gilbert W.; Williams, H. C. On the computation of a table of complex cubic fields with discriminant \(D>-10^ 6\). (English) Zbl 0705.11063 Math. Comput. 55, No. 191, 313-325 (1990). 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 Cited in 4 ReviewsCited in 6 Documents MSC: 11R16 Cubic and quartic extensions 11Y40 Algebraic number theory computations 11R29 Class numbers, class groups, discriminants Keywords:algorithm; complex cubic fields; class number; tables; class group PDFBibTeX XMLCite \textit{G. W. Fung} and \textit{H. C. Williams}, Math. Comput. 55, No. 191, 313--325 (1990; Zbl 0705.11063) Full Text: DOI