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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 21,801–21,850
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.166579 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.166582 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.166610 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.166615 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.166635 | 3 | 12 | 207 | 2 | ✓ | all but 2,3 | 0 | ? |
| 3.12.166683 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.166692 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.166722 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.166762 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.166773 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.166928 | 3 | 12 | 209 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.166930 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.166936 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.166939 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.166956 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.166979 | 3 | 12 | 207 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.167015 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.167065 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.167068 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167090 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167101 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.167123 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167149 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.167171 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167176 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,17 | 0 | ? |
| 3.12.167182 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167183 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.167189 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.167263 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.167273 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.167284 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.167294 | 3 | 12 | 208 | 2 | ✓ | all | 0 | ? |
| 3.12.167316 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.167319 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.167328 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167346 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.167419 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.167448 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.167480 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.167484 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.167539 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.167553 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.167585 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.167593 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167604 | 3 | 12 | 211 | 1 | ✓ | all but 2,3,5,13 | 0 | ? |
| 3.12.167622 | 3 | 12 | 210 | 1 | ✓ | all but 2,7,17 | 0 | ? |
| 3.12.167625 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.167629 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.167635 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.167643 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |