Number fields were drawn from the following sources.

- M. Olivier for degree 3 fields;
- J. Buchmann, D. Ford, and M. Pohst for degree 4 fields [MR:1176706];
- A. Schwarz, M. Pohst, and F. Diaz y Diaz for degree 5 fields [MR:1219705];
- M. Olivier for degree 6 fields [MR:1106977], [MR:1149805], [MR:1116107], [MR:1096589], [MR:1061760], [MR:1050276], and with A.-M. Bergé and J. Martinet [MR:1011438];
- P. Létard for degree 7 fields.
- Totally real fields of degrees from 6 to 10 computed by John Voight [arXiv:0802.0194, math.dartmouth.edu/~jvoight/nf-tables/index.html].
- Almost totally real fields computed by John Voight. [arXiv:1408.2001, MR:3384884].
- Fields from John Jones-David Roberts database. [arXiv:1404.0266, MR:3356048, hobbes.la.asu.edu/NFDB].
- Fields from Jürgen Klüners-Gunter Malle database. [arXiv:math/0102232, galoisdb.math.upb.de/].
- Fields of degrees 2 and 3 unramified outside {2,3,5,...,29} from Benjamin Matschke.
- Some fields associated to elliptic curves from Noam Elkies.
- Fields which have arisen because they are connected to other objects in the LMFDB.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by David Roe on 2020-09-18 15:00:36

**Referred to by:**

**History:**(expand/hide all)

- 2020-09-18 15:00:36 by David Roe (Reviewed)
- 2020-05-14 13:36:44 by John Jones
- 2020-05-14 13:36:12 by John Jones
- 2020-03-10 12:57:22 by John Jones
- 2019-05-28 15:54:08 by Andrew Sutherland (Reviewed)
- 2018-12-11 18:56:13 by John Jones (Reviewed)

**Differences**(show/hide)