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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 21,651–21,700
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.429102 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429143 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429155 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429194 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429210 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429225 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429232 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429233 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429252 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429253 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429263 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429266 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429285 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429286 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429295 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429298 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429323 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429364 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429473 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429476 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429491 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429497 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429656 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429664 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429666 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429689 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429711 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429732 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429740 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429770 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429789 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429790 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429791 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429794 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429810 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429824 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429825 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429837 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429846 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429881 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429911 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429914 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429922 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429938 | 3 | 12 | 209 | 1 | ✓ | all | 6 | ? |
| 3.12.429944 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.429969 | 3 | 12 | 207 | 1 | ✓ | all | 6 | ? |
| 3.12.429977 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.430209 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.430214 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |
| 3.12.430229 | 3 | 12 | 208 | 1 | ✓ | all | 6 | ? |