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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 21,201–21,250
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.17295 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17330 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17337 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17338 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17343 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17344 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17360 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17369 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17379 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17383 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17391 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17394 | 3 | 12 | 209 | 1 | ✓ | {11} | -1 | ? |
| 3.12.17401 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17408 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17413 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17416 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17417 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17418 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17436 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17444 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17450 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17454 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17463 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17468 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17469 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17470 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17471 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17473 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17474 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17477 | 3 | 12 | 211 | 2 | ✓ | {11} | -1 | ? |
| 3.12.17482 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17487 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17489 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17496 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17502 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17503 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17508 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17512 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17515 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17516 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17523 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17525 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17531 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17545 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17556 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17563 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17577 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17586 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17594 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17597 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |