On the real cubic fields
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- by P. Llorente and A. V. Oneto PDF
- Math. Comp. 39 (1982), 689-692 Request permission
Abstract:
In this paper the authors announce a table of the 4753 totally real nonconjugate nonabelian cubic fields with discriminant less than 100000. Each field is given by its discriminant, the coefficients of a generating polynomial and the index of this polynomial over the field. A basis of the integers of the field is also given. Some differences with other tables are pointed out.References
- I. O. Angell, A table of totally real cubic fields, Math. Comput. 30 (1976), no. 133, 184–187. MR 0401701, DOI 10.1090/S0025-5718-1976-0401701-6
- H. Davenport and H. Heilbronn, On the density of discriminants of cubic fields, Bull. London Math. Soc. 1 (1969), 345–348. MR 254010, DOI 10.1112/blms/1.3.345
- H. J. Godwin and P. A. Samet, A table of real cubic fields, J. London Math. Soc. 34 (1959), 108–110. MR 100579, DOI 10.1112/jlms/s1-34.1.108 P. Llorente, Cuerpos Cúbicos y Cuerpo de Clases de Cuerpos Cuadráticos Reales, Acta ${2^ \circ }$ Congr. Mat., Venezuela, 1979. P. Llorente & A. V. Oneto, Cuerpos Cúbicos, Cursos, Seminarios y Tesis del PEAM, No. 5, Univ. Zulia, Maracaibo, Venezuela, 1980.
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 39 (1982), 689-692
- MSC: Primary 12A30; Secondary 12-04
- DOI: https://doi.org/10.1090/S0025-5718-1982-0669661-3
- MathSciNet review: 669661