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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 21,351–21,400
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.18289 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.18317 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18319 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18321 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18330 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18339 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18346 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18362 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18366 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18372 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18376 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18378 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18381 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18383 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18385 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18386 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18394 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18396 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18401 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18404 | 3 | 12 | 210 | 1 | ✓ | {3} | -1 | ? |
| 3.12.18414 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18416 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18420 | 3 | 12 | 209 | 1 | ✓ | {13} | -1 | ? |
| 3.12.18424 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18428 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18441 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18444 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18448 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18462 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18464 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18484 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18485 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18490 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18514 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18515 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18516 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18517 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18530 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18531 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18560 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18571 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18595 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18597 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18610 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18626 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18641 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18643 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18647 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.18672 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.18697 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |