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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 19,701–19,750
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.138764 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138767 | 3 | 12 | 210 | 1 | ✓ | all but 11 | 0 | ? |
| 3.12.138772 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138779 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138799 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.138847 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138850 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.138858 | 3 | 12 | 210 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.138871 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138877 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.138886 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.138889 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138896 | 3 | 12 | 210 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.138899 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.138913 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138917 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138921 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138930 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.138931 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.138985 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139036 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.139075 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,11 | 0 | ? |
| 3.12.139079 | 3 | 12 | 211 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.139082 | 3 | 12 | 211 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.139103 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.139122 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.139144 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139152 | 3 | 12 | 209 | 1 | ✓ | all but 7 | 0 | ? |
| 3.12.139167 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.139197 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139202 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139213 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.139230 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139239 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.139240 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139241 | 3 | 12 | 209 | 1 | ✓ | all but 2,13 | 0 | ? |
| 3.12.139250 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,11 | 0 | ? |
| 3.12.139255 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.139261 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139268 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.139286 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.139288 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.139300 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139301 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139302 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139326 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.139331 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.139351 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.139352 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.139438 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |