A023682 Discriminants of totally complex quartic fields.

117, 125, 144, 189, 225, 229, 256, 257, 272, 320, 333, 392, 400, 432, 441, 512, 513, 549, 576, 576, 592, 605, 656, 657, 697, 761, 784, 788, 832, 837, 873, 892, 981, 985, 1008, 1008, 1016, 1025, 1040, 1040, 1076, 1088, 1088, 1089, 1129, 1161, 1168, 1197, 1197, 1225, 1229, 1257, 1264, 1280

Offset

1,1

References

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989, p. 441.

Links

Robin Visser, Table of n, a(n) for n = 1..10000 (taken from the Jones-Roberts database)

J. Buchmann, D. Ford and M. Pohst, Enumeration of quartic fields of small discriminant, Math. Comp. 61 (1993), no. 204, 873-879.

J. W. Jones and D. P. Roberts, A database of number fields, LMS J. Comput. Math. 17 (2014), no. 1, 595-618.

Example

The field Q[x]/(x^4 - x^3 - x^2 + x + 1) is the totally complex quartic field with the smallest absolute discriminant of 117. - Robin Visser, Mar 27 2025

Crossrefs

Cf. A023680, A023681.

Sequence in context: A373582 A050660 A176568 * A084344 A015706 A095625

Adjacent sequences: A023679 A023680 A023681 * A023683 A023684 A023685

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms added by Robin Visser, Mar 27 2025, taken from the database of John Jones and David Roberts.

Status

approved