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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 22,101–22,150
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.171228 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.171231 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171261 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171265 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171269 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171273 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,11,13 | 0 | ? |
| 3.12.171283 | 3 | 12 | 209 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.171293 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7,11,17 | 0 | ? |
| 3.12.171300 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171306 | 3 | 12 | 208 | 1 | ✓ | all but 5,11 | 0 | ? |
| 3.12.171307 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171321 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171330 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.171331 | 3 | 12 | 209 | 1 | ✓ | all but 5 | 0 | ? |
| 3.12.171365 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171367 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171376 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.171377 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171380 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171422 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171449 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171454 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171460 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171494 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171507 | 3 | 12 | 207 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171542 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171545 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171548 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171549 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.171550 | 3 | 12 | 207 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171566 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171578 | 3 | 12 | 211 | 2 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171579 | 3 | 12 | 211 | 2 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.171585 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171590 | 3 | 12 | 211 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171592 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5,7,11,17 | 0 | ? |
| 3.12.171595 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171607 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.171636 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171642 | 3 | 12 | 210 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.171648 | 3 | 12 | 209 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.171657 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.171679 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171683 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171685 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.171695 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.171704 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171724 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171740 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.171746 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,11 | 0 | ? |