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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 22,151–22,200
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.171767 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171768 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171779 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171780 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171794 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171795 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171819 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171824 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171832 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171852 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171853 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171858 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171885 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.171893 | 3 | 12 | 209 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.171908 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.171910 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171927 | 3 | 12 | 210 | 1 | ✓ | all | 0 | ? |
| 3.12.171928 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171936 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.171944 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171950 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171953 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171955 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171973 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171975 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171976 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.172015 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.172023 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.172024 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.172044 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.172085 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.172089 | 3 | 12 | 209 | 1 | ✓ | all but 2,7,13 | 0 | ? |
| 3.12.172094 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.172149 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.172150 | 3 | 12 | 208 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.172167 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,11 | 0 | ? |
| 3.12.172169 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.172177 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.172185 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.172193 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.172201 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,13 | 0 | ? |
| 3.12.172225 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.172236 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.172269 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.172300 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.172306 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.172313 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.172316 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.172317 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.172325 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |