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32,400,859 matroids, showing 12,951–13,000
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.177263 | 4 | 9 | 104 | 1 | ✓ | all | 3 | rational |
| 4.9.177262 | 4 | 9 | 105 | 1 | ✓ | all | 1 | rational |
| 4.9.177261 | 4 | 9 | 101 | 4 | ✓ | all | 2 | rational |
| 4.9.177260 | 4 | 9 | 102 | 2 | ✓ | all | 3 | rational |
| 4.9.177259 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.177258 | 4 | 9 | 104 | 1 | ✓ | all | 1 | rational |
| 4.9.177257 | 4 | 9 | 105 | 1 | ✓ | all | 2 | rational |
| 4.9.177256 | 4 | 9 | 102 | 1 | ✓ | all | 2 | rational |
| 4.9.177255 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.177254 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.177253 | 4 | 9 | 102 | 12 | ✓ | all | 2 | empty |
| 4.9.177252 | 4 | 9 | 103 | 4 | ✓ | ∅ | -1 | empty |
| 4.9.177251 | 4 | 9 | 104 | 4 | ✓ | all but 2 | 1 | rational |
| 4.9.177250 | 4 | 9 | 105 | 4 | ✓ | ∅ | -1 | empty |
| 4.9.177249 | 4 | 9 | 106 | 2 | ✓ | all | 1 | empty |
| 4.9.177248 | 4 | 9 | 107 | 4 | ✓ | ∅ | -1 | empty |
| 4.9.177247 | 4 | 9 | 103 | 2 | ✓ | all | 2 | empty |
| 4.9.177246 | 4 | 9 | 104 | 1 | ✓ | all but 2 | 2 | empty |
| 4.9.177245 | 4 | 9 | 104 | 2 | ✓ | all | 0 | empty |
| 4.9.177244 | 4 | 9 | 105 | 2 | ✓ | all | 4 | empty |
| 4.9.177243 | 4 | 9 | 106 | 1 | ✓ | {2} | -1 | rational |
| 4.9.177242 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.177241 | 4 | 9 | 106 | 2 | ✓ | all | 3 | empty |
| 4.9.177240 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.177239 | 4 | 9 | 107 | 2 | ✓ | all | 1 | empty |
| 4.9.177238 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.177237 | 4 | 9 | 104 | 2 | ✓ | all | 4 | empty |
| 4.9.177236 | 4 | 9 | 105 | 1 | ✓ | all | 1 | empty |
| 4.9.177235 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.177234 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.177233 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.177232 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.177231 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |
| 4.9.177230 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.177229 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.177228 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.177227 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.177226 | 4 | 9 | 105 | 1 | ✓ | all | 2 | empty |
| 4.9.177225 | 4 | 9 | 106 | 1 | ✓ | all | 2 | point over Q(a)/(a^2 - a - 1) |
| 4.9.177224 | 4 | 9 | 106 | 1 | ✓ | all | 3 | point over Q(a)/(a^3 - a^2 - 2*a + 1) |
| 4.9.177223 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.177222 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.177221 | 4 | 9 | 106 | 1 | ✓ | all | 4 | empty |
| 4.9.177220 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational over Q(a)/(a^2 - a - 1) |
| 4.9.177219 | 4 | 9 | 106 | 1 | ✓ | {2} | -1 | rational |
| 4.9.177218 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.177217 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.177216 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.177215 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.177214 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 0 | rational |