Search
…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 21,451–21,500
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.19003 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19007 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19024 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.19028 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.19030 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.19033 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19037 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19042 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.19043 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.19048 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19056 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19060 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19074 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19085 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19092 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19119 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19125 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19137 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19152 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19159 | 3 | 12 | 211 | 1 | ✓ | {2} | -1 | ? |
| 3.12.19162 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19183 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19185 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19190 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19192 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19195 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19199 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19204 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19208 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19210 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19222 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19224 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19226 | 3 | 12 | 211 | 1 | ✓ | {13} | -1 | ? |
| 3.12.19236 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19239 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19248 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19251 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19254 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19257 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19259 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19264 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19267 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19273 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19275 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19287 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19290 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19293 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19295 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19297 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.19300 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |