A023684 Discriminants of quintic fields with 2 complex conjugates (negated).

4511, 4903, 5519, 5783, 7031, 7367, 7463, 8519, 8647, 9439, 9759, 10407, 11119, 11243, 11551, 12447, 13219, 13523, 13799, 13883, 14103, 14631, 14891, 14911, 15536, 15919, 16816, 17151, 17348, 18063, 18463, 18583, 18839, 19015, 19951, 21191, 21227, 22331, 22424, 22448, 22583, 22687, 22935, 23103, 23119, 23339, 23679, 23831, 23891, 24299

Offset

1,1

References

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989, p. 443.

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.

A. Schwarz, M. Pohst and F. Diaz y Diaz, A table of quintic number fields, Math. Comp. 63 (1994), 361-376. See Table 3 page 373.

Example

The field Q[x]/(x^5 - x^3 - 2*x^2 + 1) is the quintic field with 2 complex conjugates with the smallest absolute discriminant of 4511. - Robin Visser, Mar 27 2025

Crossrefs

Cf. A023683, A023685.

Sequence in context: A252470 A252628 A252623 * A105845 A107543 A234425

Adjacent sequences: A023681 A023682 A023683 * A023685 A023686 A023687

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms (from the Schwarz et al. reference) from Joerg Arndt, May 01 2016

Status

approved