A329769 Discriminants of totally real cubic fields in which every norm-positive unit is totally positive.
15529, 25717, 25961, 28669, 29813, 37229, 53121, 57077, 59749, 66536, 74708, 82661, 86321, 88289, 94441, 95992, 97997, 99732, 104153, 109048, 109621, 114973, 119369, 124745, 126857, 142877, 147788, 148700, 149189, 150049, 152737, 154708, 155917, 166877, 167333, 171805, 174829, 176665
Offset: 1
Keywords
Examples
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
Links
- Robin Visser, Table of n, a(n) for n = 1..1700
- Veikko Ennola and Reino Turunen, On totally real cubic fields, Math. Comp. 44 (1985), no. 170, 495-518. See p. 516.
Extensions
More terms from Robin Visser, Apr 17 2025