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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 20,901–20,950
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.14912 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14916 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14928 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.14931 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14942 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14946 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14951 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14952 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14975 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14977 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14988 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14991 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.14998 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15009 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15014 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15016 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15034 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15039 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15085 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15088 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15090 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15097 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15102 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15103 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15105 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15112 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15119 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15122 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15144 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15152 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15153 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15160 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15161 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15168 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15174 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15175 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15181 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15186 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15195 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15197 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15202 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15205 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15221 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15223 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15247 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15254 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15263 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15272 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.15276 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.15278 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |