Current record matroids
Every record-setting matroid ever submitted; a superseded row was the record for its ground-set size until a larger constant beat it. Click a column header to sort; click again to reverse.
showing 7 of 8 matroids
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| matroid | n | rank | bases | α | ≈ | description | submitter | submitted | status |
|---|---|---|---|---|---|---|---|---|---|
| #1 | 10 | 5 | 136 | 8/7 | 1.1429 | matrix GF(2) | David Renshaw | 2026-08-05 15:25:29 | current |
| #2 | 14 | 5 | 891 | 8/7 | 1.1429 | matrix GF(3) | David Renshaw | 2026-08-05 15:25:29 | current |
| #5 | 18 | 5 | 3,392 | 8/7 | 1.1429 | matrix GF(4) | David Renshaw | 2026-08-05 17:09:19 | current |
| #7 | 30 | 5 | 46,991 | 8/7 | 1.1429 | matrix GF(7) | David Renshaw | 2026-08-05 17:26:47 | current |
| #6 | 26 | 9 | 1,518,400 | 280043/243256 | 1.1512 | matrix GF(7) | David Renshaw | 2026-08-05 17:26:29 | current |
| #8 | 22 | 11 | 426,888 | 50/43 | 1.1628 | matrix GF(999983) | David Renshaw | 2026-08-05 18:26:38 | current |
| #3 | 12 | 6 | 684 | 100/81 | 1.2346 | matrix GF(3) | David Renshaw | 2026-08-05 15:25:29 | current |