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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 22,051–22,100
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.23875 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23917 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23918 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23920 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23922 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23944 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.23952 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23954 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23956 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23961 | 3 | 12 | 210 | 2 | ✓ | {3} | -1 | ? |
| 3.12.23967 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23968 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23980 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23981 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.23994 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24001 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24005 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24033 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24037 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24038 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24045 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24048 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24060 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24079 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24085 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24088 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24093 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24098 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.24112 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24114 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24115 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24121 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.24139 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24148 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24154 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24155 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24158 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24170 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24183 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24190 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24202 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24206 | 3 | 12 | 209 | 1 | ✓ | {2} | -1 | ? |
| 3.12.24241 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24246 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24250 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24261 | 3 | 12 | 208 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24281 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24283 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.24296 | 3 | 12 | 210 | 1 | ✓ | {2} | -1 | ? |
| 3.12.24298 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |