Search
…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.
2,030,492 matroids, showing 22,951–23,000
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.183413 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.183445 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.183462 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.183478 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183480 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183521 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.183526 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183537 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,17 | 0 | ? |
| 3.12.183550 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183558 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.183564 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183568 | 3 | 12 | 207 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.183595 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.183604 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.183640 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.183673 | 3 | 12 | 208 | 1 | ✓ | all but 7 | 0 | ? |
| 3.12.183675 | 3 | 12 | 207 | 1 | ✓ | all but 7 | 0 | ? |
| 3.12.183676 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.183678 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183681 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183707 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183710 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183711 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.183718 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183724 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183757 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183758 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.183770 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.183772 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.183830 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.183837 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183848 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.183850 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.183917 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183939 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183942 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.183944 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.183945 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.183961 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.183986 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.184008 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.184023 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.184024 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.184032 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.184036 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.184043 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.184067 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11,13,17,43 | 0 | ? |
| 3.12.184077 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.184100 | 3 | 12 | 207 | 1 | ✓ | all but 5 | 0 | ? |
| 3.12.184110 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |