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A329769 Discriminants of totally real cubic fields in which every norm-positive unit is totally positive.

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%I A329769 #16 Apr 18 2025 09:53:20
%S A329769 15529,25717,25961,28669,29813,37229,53121,57077,59749,66536,74708,
%T A329769 82661,86321,88289,94441,95992,97997,99732,104153,109048,109621,
%U A329769 114973,119369,124745,126857,142877,147788,148700,149189,150049,152737,154708,155917,166877,167333,171805,174829,176665
%N A329769 Discriminants of totally real cubic fields in which every norm-positive unit is totally positive.
%H A329769 Robin Visser, <a href="/A329769/b329769.txt">Table of n, a(n) for n = 1..1700</a>
%H A329769 Veikko Ennola and Reino Turunen, <a href="https://doi.org/10.1090/S0025-5718-1985-0777281-8">On totally real cubic fields</a>, Math. Comp. 44 (1985), no. 170, 495-518. See p. 516.
%e A329769 The totally real cubic field with the smallest discriminant, in which every norm-positive unit is totally positive, is the field Q[x]/(x^3 - 19*x - 21) with discriminant 15529. - _Robin Visser_, Apr 17 2025
%K A329769 nonn
%O A329769 1,1
%A A329769 _N. J. A. Sloane_, Nov 21 2019
%E A329769 More terms from _Robin Visser_, Apr 17 2025