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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 18,751–18,800
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.2082 | 3 | 12 | 210 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2102 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2107 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2109 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2113 | 3 | 12 | 210 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2115 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2116 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2119 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2126 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2129 | 3 | 12 | 210 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2139 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2150 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2152 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2155 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2159 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2161 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2162 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2165 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2167 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2168 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2170 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2171 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2181 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2190 | 3 | 12 | 215 | 96 | ✓ | ∅ | -1 | ? |
| 3.12.2195 | 3 | 12 | 214 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.2201 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2202 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2214 | 3 | 12 | 213 | 8 | ✓ | ∅ | -1 | ? |
| 3.12.2215 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2220 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2228 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2230 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2233 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2236 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2240 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2242 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2247 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2257 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2265 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2280 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2281 | 3 | 12 | 210 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2282 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2292 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2294 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.2300 | 3 | 12 | 211 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2305 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2308 | 3 | 12 | 210 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.2309 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.2325 | 3 | 12 | 214 | 16 | ✓ | ∅ | -1 | ? |
| 3.12.2331 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |