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6,657,451 matroids, showing 2,501–2,550
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.8379 | 3 | 10 | 72 | 8 | ✗ | all | 3 | rational |
| 3.10.8383 | 3 | 10 | 70 | 8 | ✗ | all | 3 | rational |
| 3.10.8385 | 3 | 10 | 70 | 2 | ✗ | all | 3 | rational |
| 3.10.8387 | 3 | 10 | 70 | 2 | ✗ | all | 3 | rational |
| 3.10.8389 | 3 | 10 | 70 | 4 | ✗ | all | 3 | rational |
| 3.10.8394 | 3 | 10 | 71 | 8 | ✗ | all | 3 | rational |
| 3.10.8395 | 3 | 10 | 70 | 8 | ✗ | all | 3 | rational |
| 3.10.8396 | 3 | 10 | 70 | 2 | ✗ | all | 3 | rational |
| 3.10.8408 | 3 | 10 | 68 | 2 | ✗ | all | 3 | rational |
| 3.10.8410 | 3 | 10 | 69 | 4 | ✗ | all | 3 | rational |
| 3.10.8411 | 3 | 10 | 68 | 4 | ✗ | all | 3 | rational |
| 3.10.8413 | 3 | 10 | 67 | 4 | ✗ | all but 2 | 3 | rational |
| 3.10.8416 | 3 | 10 | 68 | 2 | ✗ | all | 3 | rational |
| 3.10.8417 | 3 | 10 | 67 | 6 | ✗ | all | 3 | rational |
| 3.10.8421 | 3 | 10 | 66 | 12 | ✗ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 3.10.8434 | 3 | 10 | 69 | 8 | ✗ | all but 2 | 3 | rational |
| 3.10.8438 | 3 | 10 | 69 | 2 | ✗ | all | 3 | rational |
| 3.10.8442 | 3 | 10 | 69 | 8 | ✗ | all but 2 | 3 | rational |
| 3.10.8446 | 3 | 10 | 68 | 12 | ✗ | all but 2 | 3 | rational |
| 3.10.8450 | 3 | 10 | 67 | 8 | ✗ | all | 3 | rational |
| 3.10.8456 | 3 | 10 | 65 | 8 | ✗ | all | 3 | rational |
| 3.10.8457 | 3 | 10 | 63 | 24 | ✗ | all | 3 | rational |
| 3.10.8466 | 3 | 10 | 69 | 96 | ✗ | all | 3 | rational |
| 3.10.8468 | 3 | 10 | 66 | 192 | ✗ | all | 3 | rational |
| 3.10.8475 | 3 | 10 | 65 | 8 | ✗ | all | 3 | rational |
| 3.10.8477 | 3 | 10 | 66 | 32 | ✗ | all | 3 | rational |
| 3.10.8481 | 3 | 10 | 65 | 8 | ✗ | all | 3 | rational |
| 3.10.8488 | 3 | 10 | 64 | 8 | ✗ | all | 3 | rational |
| 3.10.8492 | 3 | 10 | 62 | 8 | ✗ | all | 3 | rational |
| 3.10.8498 | 3 | 10 | 62 | 288 | ✗ | all | 3 | rational |
| 3.10.8499 | 3 | 10 | 61 | 32 | ✗ | all | 3 | rational |
| 3.10.8501 | 3 | 10 | 57 | 48 | ✗ | all | 3 | rational |
| 3.10.8506 | 3 | 10 | 53 | 96 | ✗ | all | 3 | rational |
| 3.10.8509 | 3 | 10 | 53 | 96 | ✗ | all | 3 | rational |
| 3.10.8515 | 3 | 10 | 51 | 4 | ✗ | all | 3 | rational |
| 3.10.8516 | 3 | 10 | 50 | 24 | ✗ | all | 3 | rational |
| 3.10.8517 | 3 | 10 | 52 | 12 | ✗ | all but 2 | 3 | rational |
| 3.10.8521 | 3 | 10 | 51 | 24 | ✗ | all | 3 | rational |
| 3.10.8525 | 3 | 10 | 52 | 96 | ✗ | all | 3 | rational |
| 3.10.8529 | 3 | 10 | 50 | 16 | ✗ | all | 3 | rational |
| 3.10.8534 | 3 | 10 | 80 | 17280 | ✗ | all | 3 | rational |
| 3.10.8536 | 3 | 10 | 78 | 1728 | ✗ | all | 3 | rational |
| 3.10.8539 | 3 | 10 | 76 | 576 | ✗ | all | 3 | rational |
| 3.10.8540 | 3 | 10 | 76 | 1152 | ✗ | all | 3 | rational |
| 3.10.8546 | 3 | 10 | 63 | 48 | ✗ | all | 3 | rational |
| 3.10.8550 | 3 | 10 | 60 | 72 | ✗ | all | 3 | rational |
| 3.10.8552 | 3 | 10 | 49 | 144 | ✗ | all | 3 | rational |
| 3.10.8557 | 3 | 10 | 35 | 30240 | ✗ | all | 3 | rational |
| 3.10.8560 | 3 | 10 | 96 | 17280 | ✓ | all | 3 | rational |
| 3.10.8561 | 3 | 10 | 99 | 480 | ✓ | all | 3 | rational |