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

Author

N. J. A. Sloane, Nov 30 2019

Keywords

• nonn

Examples

			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
		

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.

Crossrefs

Cf. A329769, A329786, A269319.

Extensions

More terms from Robin Visser, Apr 18 2025