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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 22,051–22,100
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.170672 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.170673 | 3 | 12 | 210 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.170682 | 3 | 12 | 210 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.170724 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.170730 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.170741 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.170746 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.170757 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.170774 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.170787 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.170788 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.170791 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.170808 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.170812 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.170853 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.170859 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.170865 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.170896 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.170901 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.170904 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.170932 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.170934 | 3 | 12 | 207 | 1 | ✓ | all but 2,5,11 | 0 | ? |
| 3.12.170943 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.170969 | 3 | 12 | 208 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.170975 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.171032 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.171051 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171052 | 3 | 12 | 210 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171053 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.171071 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.171075 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171082 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171086 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171087 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171099 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171141 | 3 | 12 | 207 | 1 | ✓ | all but 2,11 | 0 | ? |
| 3.12.171145 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171149 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171155 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171161 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171165 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171176 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.171190 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171194 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,11 | 0 | ? |
| 3.12.171195 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.171196 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.171200 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.171212 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.171213 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.171217 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |