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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 19,301–19,350
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.132527 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.132549 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.132566 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.132607 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.132620 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.132656 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.132670 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.132677 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.132690 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.132716 | 3 | 12 | 208 | 2 | ✓ | all but 2 | 0 | ? |
| 3.12.132740 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.132771 | 3 | 12 | 211 | 4 | ✓ | all but 2,3 | 0 | ? |
| 3.12.132797 | 3 | 12 | 209 | 2 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.132823 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.132824 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.132879 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.132885 | 3 | 12 | 211 | 2 | ✓ | all but 2,3 | 0 | ? |
| 3.12.132925 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.132927 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.132953 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.132972 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7,13 | 0 | ? |
| 3.12.133003 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.133057 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.133120 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.133176 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.133212 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.133216 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.133253 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.133270 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.133285 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.133316 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.133357 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.133400 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.133447 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.133479 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.133523 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.133657 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.133662 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.133676 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.133714 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.133726 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.133759 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.133793 | 3 | 12 | 212 | 2 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.133801 | 3 | 12 | 212 | 2 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.133814 | 3 | 12 | 211 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.133826 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.133827 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.133836 | 3 | 12 | 211 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.133844 | 3 | 12 | 211 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.133911 | 3 | 12 | 211 | 1 | ✓ | all but 2,3,5 | 0 | ? |