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32,400,859 matroids, showing 14,951–15,000
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.175263 | 4 | 9 | 107 | 2 | ✓ | all | 2 | rational |
| 4.9.175262 | 4 | 9 | 108 | 2 | ✓ | all but 2,3 | 0 | rational |
| 4.9.175261 | 4 | 9 | 105 | 1 | ✓ | all | 1 | rational |
| 4.9.175260 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 2 | point over Q(a)/(a^2 - a + 1) |
| 4.9.175259 | 4 | 9 | 106 | 1 | ✓ | all | 3 | point over Q(a)/(a^2 + 1) |
| 4.9.175258 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.175257 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 1 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.175256 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175255 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.175254 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.175253 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.175252 | 4 | 9 | 105 | 1 | ✓ | all | 2 | rational |
| 4.9.175251 | 4 | 9 | 106 | 1 | ✓ | {2} | -1 | rational |
| 4.9.175250 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.175249 | 4 | 9 | 105 | 1 | ✓ | all | 3 | empty |
| 4.9.175248 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.175247 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 1 | empty |
| 4.9.175246 | 4 | 9 | 107 | 1 | ✓ | all | 1 | empty |
| 4.9.175245 | 4 | 9 | 106 | 1 | ✓ | all | 2 | point over Q(a)/(a^2 - a - 1) |
| 4.9.175244 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational over Q(a)/(a^2 - a - 1) |
| 4.9.175243 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.175242 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.175241 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.175240 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175239 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.175238 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.175237 | 4 | 9 | 106 | 1 | ✓ | all | 2 | empty |
| 4.9.175236 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.175235 | 4 | 9 | 107 | 1 | ✓ | all | 4 | empty |
| 4.9.175234 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | empty |
| 4.9.175233 | 4 | 9 | 108 | 1 | ✓ | all | 3 | empty |
| 4.9.175232 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.175231 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.175230 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175229 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.175228 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175227 | 4 | 9 | 103 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175226 | 4 | 9 | 104 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175225 | 4 | 9 | 104 | 1 | ✓ | all | 2 | rational |
| 4.9.175224 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.175223 | 4 | 9 | 104 | 2 | ✓ | {2} | -1 | rational |
| 4.9.175222 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.175221 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.175220 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.175219 | 4 | 9 | 106 | 1 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 4.9.175218 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.175217 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.175216 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.175215 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.175214 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |