Current record holders
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.
showing 5 of 19 matroids
· all · current record holders only
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| matroid | n | rank | bases | α | ≈ | description | status | discovered by | submitter | submitted |
|---|---|---|---|---|---|---|---|---|---|---|
| #3 | 12 | 6 | 684 | 100/81 | 1.2346 | matrix GF(3) | GF(3) record | Chris Eur and David Renshaw; independently June Huh | David Renshaw | 2026-08-05 15:25:29 |
| #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 |
| #18 | 25 | 13 | 560,422 | 1045392/880397 | 1.1874 | matrix GF(5) | GF(5) record | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 18:34:38 |
| #20 | 24 | 13 | 160,704 | 875/744 | 1.1761 | matrix GF(4) | GF(4) record | Yongxi (Aaron) Lin | Yongxi (Aaron) Lin | 2026-08-09 18:56:27 |
| #1 | 10 | 5 | 136 | 8/7 | 1.1429 | matrix GF(2) | GF(2) record | June Huh, Benjamin Schröter, Botong Wang | David Renshaw | 2026-08-05 15:25:29 |