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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 21,601–21,650
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.20084 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20094 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20098 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20099 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.20106 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20112 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20117 | 3 | 12 | 210 | 1 | ✓ | {19} | -1 | ? |
| 3.12.20123 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20133 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20136 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20137 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20142 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20144 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20149 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20150 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20162 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20174 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20180 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20183 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20190 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20196 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20197 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20200 | 3 | 12 | 210 | 1 | ✓ | {11} | -1 | ? |
| 3.12.20202 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20207 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20208 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20217 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20228 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.20233 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20236 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20250 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20252 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20258 | 3 | 12 | 212 | 2 | ✓ | {17} | -1 | ? |
| 3.12.20260 | 3 | 12 | 212 | 2 | ✓ | {2} | -1 | ? |
| 3.12.20261 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20262 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20263 | 3 | 12 | 212 | 1 | ✓ | {3} | -1 | ? |
| 3.12.20277 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20284 | 3 | 12 | 211 | 1 | ✓ | {11} | -1 | ? |
| 3.12.20291 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20294 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20298 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20307 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20310 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20311 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20313 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.20324 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20328 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20348 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.20352 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |