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32,400,859 matroids, showing 13,951–14,000
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.176263 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.176262 | 4 | 9 | 110 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.176261 | 4 | 9 | 105 | 2 | ✓ | all | 2 | rational |
| 4.9.176260 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176259 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.176258 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.176257 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational |
| 4.9.176256 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.176255 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.176254 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.176253 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.176252 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.176251 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.176250 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.176249 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176248 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176247 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.176246 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176245 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176244 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.176243 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176242 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176241 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.176240 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176239 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176238 | 4 | 9 | 108 | 2 | ✓ | all | 4 | empty |
| 4.9.176237 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176236 | 4 | 9 | 108 | 2 | ✓ | all but 2 | 1 | rational |
| 4.9.176235 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.176234 | 4 | 9 | 110 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.176233 | 4 | 9 | 105 | 8 | ✓ | ∅ | -1 | empty |
| 4.9.176232 | 4 | 9 | 106 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.176231 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.176230 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | empty |
| 4.9.176229 | 4 | 9 | 107 | 2 | ✓ | all | 1 | rational |
| 4.9.176228 | 4 | 9 | 108 | 2 | ✓ | all | 4 | rational |
| 4.9.176227 | 4 | 9 | 106 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.176226 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | empty |
| 4.9.176225 | 4 | 9 | 107 | 2 | ✓ | all | 3 | empty |
| 4.9.176224 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.176223 | 4 | 9 | 107 | 4 | ✓ | ∅ | -1 | empty |
| 4.9.176222 | 4 | 9 | 108 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.176221 | 4 | 9 | 107 | 4 | ✓ | all but 2 | 1 | rational |
| 4.9.176220 | 4 | 9 | 107 | 2 | ✓ | all | 2 | empty |
| 4.9.176219 | 4 | 9 | 108 | 2 | ✓ | all | 4 | empty |
| 4.9.176218 | 4 | 9 | 108 | 2 | ✓ | all but 2,5 | 0 | rational |
| 4.9.176217 | 4 | 9 | 108 | 4 | ✓ | all but 2,3 | 1 | rational |
| 4.9.176216 | 4 | 9 | 109 | 4 | ✓ | all | 3 | rational |
| 4.9.176215 | 4 | 9 | 105 | 4 | ✓ | all but 2 | 1 | empty |
| 4.9.176214 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | rational |