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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.
381,906 matroids, showing 22,051–22,100
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.439017 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439043 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439044 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439059 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439060 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439106 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439139 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439142 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439237 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.439245 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439266 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439268 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439335 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439341 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439358 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439362 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439367 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439403 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439409 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439413 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439458 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439471 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439497 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439505 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439508 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439517 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439529 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439542 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.439543 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.439561 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439587 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439625 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439634 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439651 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439685 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439688 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439711 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439714 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.439730 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439754 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439784 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439787 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439820 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439826 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.439876 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.439919 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439944 | 3 | 12 | 210 | 1 | ✓ | all | 6 | ? |
| 3.12.439946 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.439947 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.440051 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |