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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 21,051–21,100
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.16038 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16039 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16044 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16045 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16048 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16059 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16070 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16074 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16087 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16091 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16100 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16101 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16112 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16127 | 3 | 12 | 211 | 1 | ✓ | {31} | -1 | ? |
| 3.12.16128 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16132 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16142 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16143 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16150 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16152 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16155 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16165 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16171 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16176 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.16186 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16191 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16196 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.16199 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16200 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16201 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16224 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16230 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16260 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16263 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16280 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16282 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16289 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16294 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16313 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16322 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16332 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16336 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16338 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16339 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16340 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16348 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16365 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.16368 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16396 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16400 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |