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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 22,701–22,750
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.179628 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.179644 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.179648 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.179654 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.179662 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179670 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.179685 | 3 | 12 | 210 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179691 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.179709 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.179711 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |
| 3.12.179712 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179743 | 3 | 12 | 210 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.179752 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179778 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.179783 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.179816 | 3 | 12 | 209 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179820 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.179821 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179827 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179846 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179871 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179877 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179899 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179900 | 3 | 12 | 207 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.179910 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.179928 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.179962 | 3 | 12 | 207 | 1 | ✓ | all but 3 | 0 | ? |
| 3.12.179967 | 3 | 12 | 207 | 1 | ✓ | all | 0 | ? |
| 3.12.180013 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.180015 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.180022 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.180026 | 3 | 12 | 209 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.180032 | 3 | 12 | 208 | 1 | ✓ | all but 2,17 | 0 | ? |
| 3.12.180035 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.180048 | 3 | 12 | 209 | 1 | ✓ | all | 0 | ? |
| 3.12.180095 | 3 | 12 | 208 | 1 | ✓ | all | 0 | ? |
| 3.12.180117 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.180118 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.180123 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.180126 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.180152 | 3 | 12 | 209 | 1 | ✓ | all but 2,3 | 0 | ? |
| 3.12.180161 | 3 | 12 | 208 | 1 | ✓ | all but 2,5 | 0 | ? |
| 3.12.180179 | 3 | 12 | 208 | 1 | ✓ | all but 2 | 0 | ? |
| 3.12.180185 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.180197 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,31 | 0 | ? |
| 3.12.180209 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.180223 | 3 | 12 | 208 | 1 | ✓ | all but 2,3,5,7 | 0 | ? |
| 3.12.180224 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,5,7,11 | 0 | ? |
| 3.12.180226 | 3 | 12 | 207 | 1 | ✓ | all but 2,3,11 | 0 | ? |
| 3.12.180240 | 3 | 12 | 209 | 1 | ✓ | all but 2,7 | 0 | ? |