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Mathematics of Computation

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On the real cubic fields

Authors: P. Llorente and A. V. Oneto
Journal: Math. Comp. 39 (1982), 689-692
MSC: Primary 12A30; Secondary 12-04
MathSciNet review: 669661
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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.

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Keywords: Real cubic field, class number
Article copyright: © Copyright 1982 American Mathematical Society