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6,657,451 matroids, showing 2,751–2,800
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.9374 | 3 | 10 | 49 | 288 | ✗ | all but 2 | 3 | rational |
| 3.10.9375 | 3 | 10 | 48 | 192 | ✗ | all | 3 | rational |
| 3.10.9376 | 3 | 10 | 46 | 576 | ✗ | all | 3 | rational |
| 3.10.9387 | 3 | 10 | 84 | 30240 | ✓ | all | 3 | rational |
| 3.10.9391 | 3 | 10 | 81 | 4320 | ✓ | all | 3 | rational |
| 3.10.9392 | 3 | 10 | 77 | 10080 | ✗ | all | 3 | rational |
| 3.10.9398 | 3 | 10 | 80 | 24 | ✗ | all | 3 | rational |
| 3.10.9410 | 3 | 10 | 78 | 288 | ✗ | all | 3 | rational |
| 3.10.9411 | 3 | 10 | 78 | 32 | ✗ | all | 3 | rational |
| 3.10.9413 | 3 | 10 | 76 | 48 | ✗ | all | 3 | rational |
| 3.10.9417 | 3 | 10 | 75 | 8 | ✗ | all | 3 | rational |
| 3.10.9423 | 3 | 10 | 67 | 48 | ✗ | all | 3 | rational |
| 3.10.9428 | 3 | 10 | 72 | 288 | ✗ | all | 3 | rational |
| 3.10.9432 | 3 | 10 | 71 | 16 | ✗ | all | 3 | rational |
| 3.10.9434 | 3 | 10 | 69 | 96 | ✗ | all | 3 | rational |
| 3.10.9439 | 3 | 10 | 64 | 4320 | ✗ | all | 3 | rational |
| 3.10.9441 | 3 | 10 | 63 | 240 | ✗ | all | 3 | rational |
| 3.10.9444 | 3 | 10 | 60 | 720 | ✗ | all | 3 | rational |
| 3.10.9447 | 3 | 10 | 45 | 4320 | ✗ | all | 3 | rational |
| 3.10.9448 | 3 | 10 | 76 | 864 | ✗ | all | 3 | rational |
| 3.10.9450 | 3 | 10 | 75 | 72 | ✗ | all | 3 | rational |
| 3.10.9452 | 3 | 10 | 73 | 36 | ✗ | all | 3 | rational |
| 3.10.9453 | 3 | 10 | 72 | 216 | ✗ | all | 3 | rational |
| 3.10.9457 | 3 | 10 | 66 | 864 | ✗ | all | 3 | rational |
| 3.10.9460 | 3 | 10 | 62 | 288 | ✗ | all | 3 | rational |
| 3.10.9463 | 3 | 10 | 72 | 144 | ✗ | all | 3 | rational |
| 3.10.9469 | 3 | 10 | 69 | 24 | ✗ | all | 3 | rational |
| 3.10.9474 | 3 | 10 | 68 | 24 | ✗ | all | 3 | rational |
| 3.10.9481 | 3 | 10 | 51 | 144 | ✗ | all | 3 | rational |
| 3.10.9482 | 3 | 10 | 70 | 288 | ✗ | all | 3 | rational |
| 3.10.9502 | 3 | 10 | 60 | 72 | ✗ | all | 3 | rational |
| 3.10.9503 | 3 | 10 | 57 | 216 | ✗ | all | 3 | rational |
| 3.10.9504 | 3 | 10 | 59 | 144 | ✗ | all | 3 | rational |
| 3.10.9512 | 3 | 10 | 58 | 12 | ✗ | all | 3 | rational |
| 3.10.9514 | 3 | 10 | 59 | 96 | ✗ | all | 3 | rational |
| 3.10.9516 | 3 | 10 | 57 | 8 | ✗ | all | 3 | rational |
| 3.10.9522 | 3 | 10 | 58 | 96 | ✗ | all | 3 | rational |
| 3.10.9528 | 3 | 10 | 55 | 4 | ✗ | all | 3 | rational |
| 3.10.9535 | 3 | 10 | 47 | 16 | ✗ | all | 3 | rational |
| 3.10.9540 | 3 | 10 | 51 | 16 | ✗ | all | 3 | rational |
| 3.10.9541 | 3 | 10 | 49 | 48 | ✗ | all | 3 | rational |
| 3.10.9548 | 3 | 10 | 45 | 96 | ✗ | all | 3 | rational |
| 3.10.9549 | 3 | 10 | 44 | 24 | ✗ | all | 3 | rational |
| 3.10.9553 | 3 | 10 | 38 | 96 | ✗ | all | 3 | rational |
| 3.10.9554 | 3 | 10 | 30 | 1440 | ✗ | all | 3 | rational |
| 3.10.9562 | 3 | 10 | 62 | 48 | ✗ | all | 3 | rational |
| 3.10.9566 | 3 | 10 | 57 | 96 | ✗ | all | 3 | rational |
| 3.10.9568 | 3 | 10 | 63 | 288 | ✗ | all | 3 | rational |
| 3.10.9569 | 3 | 10 | 63 | 96 | ✗ | all | 3 | rational |
| 3.10.9571 | 3 | 10 | 62 | 96 | ✗ | all | 3 | rational |