A329787 Discriminants of totally real cubic fields with 3 associated nonconjugate fields.

22356, 28212, 31425, 41332, 47860, 54324, 57588, 58077, 62004, 62644, 63028, 65908, 77844, 82484, 86485, 86828, 89073, 95992, 97844, 98132, 99860, 101876, 105192, 108729, 109396, 119604, 122300, 123860, 129164, 136628, 138388, 144212, 144532, 146452, 150164, 152212, 153981, 156244, 161844

Offset

1,1

Links

Robin Visser, Table of n, a(n) for n = 1..1500

V. Ennola and R. Turunen, On totally real cubic fields, Math. Comp. 44 (1985), no. 170, 495-518.

Example

a(1) = 22356 as there are exactly three distinct totally real cubic fields all with discriminant 22356, namely Q[x]/(x^3 - 36*x - 60), Q[x]/(x^3 - 36*x - 78) and Q[x]/(x^3 - 18*x - 6). - Robin Visser, Apr 18 2025

Crossrefs

Cf. A329769, A329786, A269319.

Sequence in context: A216202 A154094 A206656 * A224648 A237215 A230924

Adjacent sequences: A329784 A329785 A329786 * A329788 A329789 A329790

Keyword

nonn,changed

Author

N. J. A. Sloane, Nov 30 2019

Extensions

More terms from Robin Visser, Apr 18 2025

Status

approved