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5,700,971 matroids, showing 1,401–1,450
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.9311 | 3 | 10 | 47 | 48 | ✗ | all | 1 | rational |
| 3.10.9319 | 3 | 10 | 45 | 8 | ✗ | all | 1 | rational |
| 3.10.9324 | 3 | 10 | 45 | 16 | ✗ | all | 1 | rational |
| 3.10.9326 | 3 | 10 | 45 | 8 | ✗ | all | 1 | rational |
| 3.10.9333 | 3 | 10 | 42 | 16 | ✗ | all | 1 | rational |
| 3.10.9336 | 3 | 10 | 43 | 8 | ✗ | all | 1 | rational |
| 3.10.9337 | 3 | 10 | 41 | 24 | ✗ | all | 1 | rational |
| 3.10.9348 | 3 | 10 | 40 | 16 | ✗ | all but 2 | 1 | rational |
| 3.10.9349 | 3 | 10 | 39 | 16 | ✗ | all | 1 | rational |
| 3.10.9355 | 3 | 10 | 34 | 864 | ✗ | all | 1 | rational |
| 3.10.9357 | 3 | 10 | 33 | 96 | ✗ | all but 2 | 1 | rational |
| 3.10.9368 | 3 | 10 | 60 | 14400 | ✗ | all | 1 | rational |
| 3.10.9372 | 3 | 10 | 50 | 14400 | ✗ | all | 1 | rational |
| 3.10.9384 | 3 | 10 | 28 | 96 | ✗ | all | 1 | rational |
| 3.10.9402 | 3 | 10 | 79 | 48 | ✗ | all | 1 | rational |
| 3.10.9409 | 3 | 10 | 79 | 288 | ✗ | all | 1 | rational |
| 3.10.9421 | 3 | 10 | 71 | 96 | ✗ | all | 1 | rational |
| 3.10.9464 | 3 | 10 | 72 | 24 | ✗ | all | 1 | rational |
| 3.10.9470 | 3 | 10 | 66 | 144 | ✗ | all | 1 | rational |
| 3.10.9477 | 3 | 10 | 65 | 48 | ✗ | all | 1 | rational |
| 3.10.9479 | 3 | 10 | 61 | 48 | ✗ | all | 1 | rational |
| 3.10.9483 | 3 | 10 | 69 | 288 | ✗ | all | 1 | rational |
| 3.10.9491 | 3 | 10 | 62 | 96 | ✗ | all | 1 | rational |
| 3.10.9506 | 3 | 10 | 53 | 72 | ✗ | all | 1 | rational |
| 3.10.9508 | 3 | 10 | 61 | 288 | ✗ | all but 2 | 1 | rational |
| 3.10.9517 | 3 | 10 | 54 | 288 | ✗ | all | 1 | rational |
| 3.10.9519 | 3 | 10 | 52 | 24 | ✗ | all | 1 | rational |
| 3.10.9520 | 3 | 10 | 50 | 96 | ✗ | all | 1 | rational |
| 3.10.9521 | 3 | 10 | 42 | 288 | ✗ | all | 1 | rational |
| 3.10.9523 | 3 | 10 | 57 | 96 | ✗ | all | 1 | rational |
| 3.10.9526 | 3 | 10 | 54 | 48 | ✗ | all | 1 | rational |
| 3.10.9539 | 3 | 10 | 53 | 32 | ✗ | all | 1 | rational |
| 3.10.9546 | 3 | 10 | 46 | 1440 | ✗ | all | 1 | rational |
| 3.10.9551 | 3 | 10 | 42 | 288 | ✗ | all | 1 | rational |
| 3.10.9563 | 3 | 10 | 61 | 48 | ✗ | all | 1 | rational |
| 3.10.9564 | 3 | 10 | 54 | 1728 | ✗ | all | 1 | rational |
| 3.10.9578 | 3 | 10 | 51 | 288 | ✗ | all but 2 | 1 | rational |
| 3.10.9584 | 3 | 10 | 57 | 864 | ✗ | all but 2 | 1 | rational |
| 3.10.9590 | 3 | 10 | 50 | 288 | ✗ | all | 1 | rational |
| 3.10.9596 | 3 | 10 | 54 | 24 | ✗ | all | 1 | rational |
| 3.10.9603 | 3 | 10 | 45 | 432 | ✗ | all | 1 | rational |
| 3.10.9606 | 3 | 10 | 52 | 72 | ✗ | all | 1 | rational |
| 3.10.9615 | 3 | 10 | 47 | 12 | ✗ | all | 1 | rational |
| 3.10.9618 | 3 | 10 | 45 | 24 | ✗ | all | 1 | rational |
| 3.10.9619 | 3 | 10 | 43 | 24 | ✗ | all but 2 | 1 | rational |
| 3.10.9636 | 3 | 10 | 41 | 48 | ✗ | all | 1 | rational |
| 3.10.9644 | 3 | 10 | 39 | 32 | ✗ | all but 2 | 1 | rational |
| 3.10.9653 | 3 | 10 | 30 | 32 | ✗ | all | 1 | rational |
| 3.10.9670 | 3 | 10 | 51 | 1440 | ✗ | all | 1 | rational |
| 3.10.9672 | 3 | 10 | 45 | 1440 | ✗ | all but 2 | 1 | rational |