All matroids over GF(7)
Every matroid ever to enter the record book. A current holder has the best verified α over one of GF(2), GF(3), GF(4), GF(5), GF(7), or reached 4/3; every other row is kept as history. Click a column header to sort; click again to reverse.
| matroid | n | rank | bases | α | ≈ | description | status | discovered by | submitter | submitted |
|---|---|---|---|---|---|---|---|---|---|---|
| #17 | 23 | 13 | 439,775 | 63/52 | 1.2115 | matrix GF(7) | GF(7) record | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 17:25:10 |
| #16 | 23 | 13 | 77,827 | 40500/33827 | 1.1973 | matrix GF(7) | history | Jeewon Kim | Jeewon Kim | 2026-08-09 14:07:17 |
| #12 | 26 | 9 | 1,478,356 | 147888/125779 | 1.1758 | matrix GF(7) | history | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 08:00:25 |
| #11 | 26 | 9 | 1,547,573 | 98252/84369 | 1.1646 | matrix GF(7) | history | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 06:55:20 |
| #10 | 26 | 9 | 1,520,989 | 561630/487297 | 1.1525 | matrix GF(7) | history | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 05:45:32 |
| #6 | 26 | 9 | 1,518,400 | 280043/243256 | 1.1512 | matrix GF(7) | history | Chris Eur | David Renshaw | 2026-08-05 17:26:29 |
| #7 | 30 | 5 | 46,991 | 8/7 | 1.1429 | matrix GF(7) | history | June Huh, Benjamin Schröter, Botong Wang | David Renshaw | 2026-08-05 17:26:47 |