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On totally real cubic fields with discriminant D < 10^7

Author
Llorente, P.; Quer, J.
Type of activity
Journal article
Journal
Mathematics of computation
Date of publication
1988-06
Volume
50
Number
182
First page
581
Last page
594
DOI
https://doi.org/10.1090/S0025-5718-1988-0929555-8 Open in new window
URL
http://www.ams.org/journals/mcom/1988-50-182/S0025-5718-1988-0929555-8/ Open in new window
Abstract
The authors have constructed a table of the 592923 nonconjugate totally real cubic number fields of discriminant D<10^7, thereby extending the existing table of fields with D< 5 X 10^5 constructed by Ennola and Turunen [4]. Each field is given by its discriminant and the coefficients of a generating polynomial. The method used is an improved version of the method developed in [8]. The article contains an exposition of the modified method, statistics and examples. The decomposition of the rationa...
Group of research
TN - Number Theory Research Group

Participants