A023687 Discriminants of totally complex sextic fields (negated).

9747, 10051, 10571, 10816, 11691, 12167, 14283, 14731, 16551, 16807, 18515, 19683, 20627, 21168, 21296, 22291, 22592, 22707, 22747, 23031, 24003, 25747, 25947, 27556, 27848, 27971, 29095, 29791, 30808, 30976, 31211, 31223, 31347, 32171, 32911, 33791, 33856, 33856, 34371, 34992, 35099, 36107

Offset

1,1

Comments

The term 10816 is given in the Pohts/Zassenhaus reference (pp. 448ff) but not in the Buchmann paper (p. 208). - Joerg Arndt, May 01 2016

References

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989, p. 448.

Links

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

Johannes Buchmann, A generalization of Voronoi's unit algorithm II, Journal of Number Theory, Volume 20, Issue 2, April 1985, Pages 192-209.

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^6 - x^5 + x^4 - 2*x^3 + 4*x^2 - 3*x + 1) is the totally complex sextic field with the smallest absolute discriminant of 9747. - Robin Visser, Mar 27 2025

Crossrefs

Cf. A023686.

Sequence in context: A206631 A381061 A031860 * A204286 A242878 A247696

Adjacent sequences: A023684 A023685 A023686 * A023688 A023689 A023690

Keyword

nonn,changed

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