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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 18,451–18,500
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.116 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.117 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.123 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.133 | 3 | 12 | 213 | 4 | ✓ | {2} | -1 | ? |
| 3.12.136 | 3 | 12 | 214 | 72 | ✓ | ∅ | -1 | ? |
| 3.12.142 | 3 | 12 | 215 | 24 | ✓ | ∅ | -1 | ? |
| 3.12.146 | 3 | 12 | 214 | 16 | ✓ | ∅ | -1 | ? |
| 3.12.186 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.193 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.196 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.199 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.203 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.206 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.215 | 3 | 12 | 214 | 16 | ✓ | ∅ | -1 | ? |
| 3.12.223 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.234 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.248 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.250 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.262 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.265 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.270 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.274 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.294 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.303 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.316 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.327 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.328 | 3 | 12 | 213 | 16 | ✓ | ∅ | -1 | ? |
| 3.12.359 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.363 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.377 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.380 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.402 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.404 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.415 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.416 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.430 | 3 | 12 | 213 | 1 | ✓ | {3} | -1 | ? |
| 3.12.433 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.460 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.484 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.491 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.534 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.541 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.543 | 3 | 12 | 213 | 1 | ✓ | {2} | -1 | ? |
| 3.12.555 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.570 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.586 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.599 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.608 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.614 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.622 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |