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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.
4,238,885 matroids, showing 21,901–21,950
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.22789 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22794 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22803 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22811 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22818 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.22828 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22833 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22845 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22851 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22854 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22867 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22870 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22872 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22885 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22893 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22894 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22897 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22900 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22918 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22932 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22948 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22949 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22964 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22982 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22984 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.22987 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23010 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23032 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23035 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23089 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23105 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23117 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23119 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23127 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23129 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23130 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23138 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23150 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23156 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23166 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23169 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23174 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23181 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23186 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23193 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23196 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23221 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23224 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23261 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23262 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |