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32,400,859 matroids, showing 13,751–13,800
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.176463 | 4 | 9 | 107 | 8 | ✓ | all | 3 | empty |
| 4.9.176462 | 4 | 9 | 108 | 4 | ✓ | all | 1 | empty |
| 4.9.176461 | 4 | 9 | 109 | 8 | ✓ | all but 2 | 0 | empty |
| 4.9.176460 | 4 | 9 | 104 | 4 | ✓ | all | 2 | empty |
| 4.9.176459 | 4 | 9 | 105 | 2 | ✓ | all | 3 | empty |
| 4.9.176458 | 4 | 9 | 106 | 4 | ✓ | all | 3 | empty |
| 4.9.176457 | 4 | 9 | 106 | 2 | ✓ | all | 3 | rational |
| 4.9.176456 | 4 | 9 | 107 | 2 | ✓ | all | 4 | rational |
| 4.9.176455 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.176454 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.176453 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational |
| 4.9.176452 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.176451 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.176450 | 4 | 9 | 107 | 4 | ✓ | all | 2 | empty |
| 4.9.176449 | 4 | 9 | 108 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.176448 | 4 | 9 | 107 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.176447 | 4 | 9 | 108 | 2 | ✓ | all but 2,3 | 1 | rational |
| 4.9.176446 | 4 | 9 | 109 | 4 | ✓ | all | 4 | rational |
| 4.9.176445 | 4 | 9 | 105 | 2 | ✓ | ∅ | -1 | empty |
| 4.9.176444 | 4 | 9 | 106 | 1 | ✓ | all | 2 | empty |
| 4.9.176443 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | empty |
| 4.9.176442 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.176441 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176440 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176439 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.176438 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176437 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176436 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.176435 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.176434 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.176433 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.176432 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176431 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.176430 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 0 | rational |
| 4.9.176429 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.176428 | 4 | 9 | 108 | 2 | ✓ | all | 2 | empty |
| 4.9.176427 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.176426 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.176425 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.176424 | 4 | 9 | 110 | 2 | ✓ | all | 3 | rational |
| 4.9.176423 | 4 | 9 | 104 | 48 | ✓ | all | 3 | empty |
| 4.9.176422 | 4 | 9 | 105 | 16 | ✓ | ∅ | -1 | empty |
| 4.9.176421 | 4 | 9 | 106 | 16 | ✓ | all | 2 | empty |
| 4.9.176420 | 4 | 9 | 106 | 4 | ✓ | all but 2 | 1 | rational |
| 4.9.176419 | 4 | 9 | 107 | 4 | ✓ | all | 2 | rational |
| 4.9.176418 | 4 | 9 | 107 | 2 | ✓ | all | 2 | rational |
| 4.9.176417 | 4 | 9 | 107 | 2 | ✓ | all | 2 | rational |
| 4.9.176416 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.176415 | 4 | 9 | 107 | 16 | ✓ | ∅ | -1 | empty |
| 4.9.176414 | 4 | 9 | 108 | 8 | ✓ | all | 2 | rational |