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…or describe it by its bases, non-bases or lines
Any labeling of the ground set $\{1,\dots,n\}$ will do: we compute the canonical id.
Sets are written as {1,2,3}, one per line, or, when $n \le 9$, as digit strings such as
123 145. Lines are the lines with at least three points of a simple rank-3 matroid.
A revlex encoding is a string of * and 0.
4,238,885 matroids, showing 20,951–21,000
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.15291 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15292 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15294 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15308 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15309 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15311 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15314 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15316 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15326 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15334 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15336 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15339 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15349 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15366 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15367 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15373 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15391 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15393 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15394 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15395 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15396 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15397 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15412 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15425 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15456 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15458 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15469 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15476 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15487 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15488 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15495 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15502 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15517 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15519 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15537 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15539 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15545 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15552 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15563 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15566 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15579 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15591 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15597 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15608 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.15622 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15626 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15628 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15639 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15646 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15652 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |