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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.
2,030,492 matroids, showing 22,651–22,700
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.179071 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179073 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179074 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179078 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179094 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.179100 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.179106 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179111 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.179119 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.179130 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.179141 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179148 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179156 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179186 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.179189 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.179215 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.179217 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179222 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179230 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.179235 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179242 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179247 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.179253 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179269 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179272 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179273 | 3 | 12 | 209 | 1 | ✓ | all but 2,7,13 | 0 | ? |
| 3.12.179276 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.179325 | 3 | 12 | 209 | 1 | ✓ | all but 3,7 | 0 | ? |
| 3.12.179333 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179362 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179389 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11,13 | 0 | ? |
| 3.12.179391 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179400 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179418 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,13 | 0 | ? |
| 3.12.179425 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179428 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179429 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179433 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.179461 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,17 | 0 | ? |
| 3.12.179471 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179480 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179496 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.179524 | 3 | 12 | 208 | 1 | ✓ | all but 2,5,11 | 0 | ? |
| 3.12.179551 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179553 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179561 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179597 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.179600 | 3 | 12 | 210 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.179613 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,13 | 0 | ? |
| 3.12.179616 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |