A329786 Discriminants of totally real cubic fields with 2 associated nonconjugate fields.

3969, 8281, 13689, 17689, 29241, 37300, 38612, 45684, 46548, 47089, 55700, 61009, 66825, 67081, 69012, 77841, 83700, 90601, 92340, 110889, 113940, 115668, 138996, 148372, 149769, 155412, 157300, 162324, 162409, 164052, 168372, 173556, 181300, 182329, 182868, 185652, 186516, 189972, 191700

Offset

1,1

Links

Robin Visser, Table of n, a(n) for n = 1..700

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

Example

a(1) = 3969 as there are exactly two distinct totally real cubic fields both with discriminant 3969, namely Q[x]/(x^3 - 21*x - 28) and Q[x]/(x^3 - 21*x - 35). - Robin Visser, Apr 18 2025

Crossrefs

Cf. A329769, A329787, A269319.

Sequence in context: A232430 A163111 A045247 * A343024 A343002 A230067

Adjacent sequences: A329783 A329784 A329785 * A329787 A329788 A329789

Keyword

nonn

Author

N. J. A. Sloane, Nov 30 2019

Extensions

More terms from Robin Visser, Apr 18 2025

Status

approved