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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 18,601–18,650
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.1090 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1091 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1093 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1095 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1099 | 3 | 12 | 214 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1104 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1106 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1117 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1118 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1125 | 3 | 12 | 212 | 2 | ✓ | {2} | -1 | ? |
| 3.12.1126 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1131 | 3 | 12 | 212 | 1 | ✓ | {13} | -1 | ? |
| 3.12.1134 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1145 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1148 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1151 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1152 | 3 | 12 | 213 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1153 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1155 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1157 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1158 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1159 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1164 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1170 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1173 | 3 | 12 | 212 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.1176 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1177 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.1178 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1179 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1181 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1187 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1190 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1198 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1208 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1211 | 3 | 12 | 212 | 1 | ✓ | {11} | -1 | ? |
| 3.12.1212 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1214 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1217 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1223 | 3 | 12 | 212 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1226 | 3 | 12 | 213 | 2 | ✓ | ∅ | -1 | ? |
| 3.12.1229 | 3 | 12 | 211 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1232 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1241 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1251 | 3 | 12 | 212 | 1 | ✓ | {3} | -1 | ? |
| 3.12.1256 | 3 | 12 | 213 | 4 | ✓ | ∅ | -1 | ? |
| 3.12.1264 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1265 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1266 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1269 | 3 | 12 | 212 | 1 | ✓ | ∅ | -1 | ? |
| 3.12.1272 | 3 | 12 | 211 | 2 | ✓ | ∅ | -1 | ? |