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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 21,151–21,200
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.16800 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16827 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16869 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16874 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16885 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16890 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16914 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16916 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16928 | 3 | 12 | 209 | 1 | ✓ | {23} | -1 | ? |
| 3.12.16932 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16948 | 3 | 12 | 212 | 2 | ✓ | {13} | -1 | ? |
| 3.12.16950 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.16966 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16997 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.16998 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17003 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17026 | 3 | 12 | 211 | 1 | ✓ | {3} | -1 | ? |
| 3.12.17028 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17051 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17056 | 3 | 12 | 211 | 1 | ✓ | {13} | -1 | ? |
| 3.12.17064 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17091 | 3 | 12 | 209 | 1 | ✓ | {11} | -1 | ? |
| 3.12.17096 | 3 | 12 | 210 | 1 | ✓ | {7} | -1 | ? |
| 3.12.17103 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17120 | 3 | 12 | 209 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17123 | 3 | 12 | 209 | 1 | ✓ | {17} | -1 | ? |
| 3.12.17133 | 3 | 12 | 209 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.17149 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.17155 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17158 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17160 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17165 | 3 | 12 | 209 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17191 | 3 | 12 | 210 | 2 | ✓ | {2} | -1 | ? |
| 3.12.17194 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17204 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17205 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17209 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17214 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17226 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17229 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17233 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.17237 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17241 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17247 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17264 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17274 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17280 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17285 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17289 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.17291 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |