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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 19,201–19,250
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.368369 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368377 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368401 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.368427 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368429 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368432 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368443 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368456 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368505 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.368518 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368565 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.368625 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368679 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368732 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368736 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368763 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368764 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368770 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368796 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368805 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368814 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368815 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368827 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368831 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368846 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368858 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.368917 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.368949 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.369021 | 3 | 12 | 207 | 2 | ✓ | all | 6 | ? |
| 3.12.369025 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.369035 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369041 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369046 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369057 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369060 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369122 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369177 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369179 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369263 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369284 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.369287 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.369366 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.369424 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369500 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.369535 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369574 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.369576 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.369583 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.369595 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.369596 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |