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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 22,251–22,300
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.172739 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.172740 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.172749 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.172758 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.172760 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.172775 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.172779 | 3 | 12 | 208 | 1 | ✓ | all but 2,5,11 | 0 | ? |
| 3.12.172790 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.172815 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.172842 | 3 | 12 | 208 | 1 | ✓ | all but 2,5,11 | 0 | ? |
| 3.12.172848 | 3 | 12 | 208 | 1 | ✓ | all but 7 | 0 | ? |
| 3.12.172851 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.172856 | 3 | 12 | 209 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.172866 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.172888 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.172892 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.172915 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.172926 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.172947 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.172999 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.173009 | 3 | 12 | 208 | 1 | ✓ | all but 5,11 | 0 | ? |
| 3.12.173029 | 3 | 12 | 207 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.173037 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.173042 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.173068 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.173096 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.173108 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.173119 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.173130 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.173140 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.173146 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.173151 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.173158 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.173161 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.173170 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.173205 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.173218 | 3 | 12 | 208 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.173229 | 3 | 12 | 211 | 1 | ✓ | all but 2,3,5,11 | 0 | ? |
| 3.12.173235 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7,11 | 0 | ? |
| 3.12.173242 | 3 | 12 | 209 | 1 | ✓ | all but 5,11 | 0 | ? |
| 3.12.173254 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.173265 | 3 | 12 | 209 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.173275 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.173299 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.173302 | 3 | 12 | 208 | 1 | ✓ | all but 7 | 0 | ? |
| 3.12.173304 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.173307 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.173313 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.173328 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.173329 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |