Movatterモバイル変換

A023679

Discriminants of complex cubic fields (negated).

23, 31, 44, 59, 76, 83, 87, 104, 107, 108, 116, 135, 139, 140, 152, 172, 175, 199, 200, 204, 211, 212, 216, 231, 239, 243, 244, 247, 255, 268, 283, 300, 307, 324, 327, 331, 335, 339, 351, 356, 364, 367, 379, 411, 419, 424, 431, 436, 439, 440, 451, 459, 460, 472, 484, 491, 492, 499, 503

(list;graph;refs;listen;history;text;internal format)

OFFSET

1,1

REFERENCES

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989, p. 437.

LINKS

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

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^3 - x^2 + 1) is the complex cubic field with the smallest absolute discriminant of 23. -Robin Visser, Mar 27 2025

CROSSREFS

Cf.A006832,A187773,A278791.

Sequence in context:A309354 A240725 A106312 *A187773 A328825 A107662

Adjacent sequences:A023676 A023677 A023678 *A023680 A023681 A023682

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

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

STATUS

approved