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504 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.42 | 3 | 9 | 75 | 108 | ✓ | ∅ | -1 | rational |
| 3.9.110 | 3 | 9 | 72 | 432 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 3.9.152 | 3 | 9 | 74 | 12 | ✓ | all but 2 | 1 | empty |
| 3.9.254 | 3 | 9 | 73 | 4 | ✓ | all | 3 | rational |
| 3.9.256 | 3 | 9 | 72 | 48 | ✓ | all | 3 | rational |
| 3.9.293 | 3 | 9 | 72 | 4 | ✓ | all | 2 | point over Q(a)/(a^2 - a - 1) |
| 3.9.295 | 3 | 9 | 72 | 6 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 3.9.332 | 3 | 9 | 71 | 4 | ✓ | all | 4 | rational |
| 3.9.339 | 3 | 9 | 71 | 2 | ✓ | all | 3 | rational |
| 3.9.345 | 3 | 9 | 70 | 12 | ✓ | all | 3 | rational |
| 3.9.352 | 3 | 9 | 70 | 12 | ✓ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 3.9.355 | 3 | 9 | 70 | 4 | ✓ | all | 2 | empty |
| 3.9.357 | 3 | 9 | 69 | 6 | ✓ | all | 2 | rational |
| 3.9.428 | 3 | 9 | 68 | 12 | ✗ | all | 2 | rational |
| 3.9.434 | 3 | 9 | 69 | 4 | ✗ | all | 2 | rational |
| 3.9.450 | 3 | 9 | 67 | 4 | ✗ | all | 3 | rational |
| 3.9.452 | 3 | 9 | 68 | 4 | ✗ | all | 3 | rational |
| 3.9.458 | 3 | 9 | 66 | 12 | ✗ | all | 5 | point over Q(a)/(a^2 - a + 1) |
| 3.9.461 | 3 | 9 | 67 | 4 | ✗ | all | 3 | rational |
| 3.9.464 | 3 | 9 | 66 | 12 | ✗ | all | 2 | rational |
| 3.9.478 | 3 | 9 | 67 | 2 | ✗ | all | 2 | rational |
| 3.9.480 | 3 | 9 | 68 | 8 | ✗ | all | 3 | rational |
| 3.9.481 | 3 | 9 | 67 | 8 | ✗ | all | 3 | rational |
| 3.9.482 | 3 | 9 | 67 | 8 | ✗ | all | 4 | rational |
| 3.9.493 | 3 | 9 | 65 | 8 | ✗ | all | 1 | rational |
| 3.9.494 | 3 | 9 | 63 | 24 | ✗ | all | 2 | rational |
| 3.9.496 | 3 | 9 | 66 | 2 | ✗ | all | 2 | rational |
| 3.9.497 | 3 | 9 | 65 | 2 | ✗ | all | 2 | rational |
| 3.9.501 | 3 | 9 | 64 | 12 | ✗ | all | 3 | empty |
| 3.9.513 | 3 | 9 | 64 | 16 | ✗ | all | 2 | rational |
| 3.9.519 | 3 | 9 | 65 | 16 | ✗ | all | 1 | rational |
| 3.9.523 | 3 | 9 | 63 | 4 | ✗ | all | 2 | rational |
| 3.9.524 | 3 | 9 | 62 | 16 | ✗ | all | 2 | rational |
| 3.9.526 | 3 | 9 | 63 | 8 | ✗ | all | 2 | rational |
| 3.9.528 | 3 | 9 | 62 | 8 | ✗ | all but 2 | 1 | rational |
| 3.9.529 | 3 | 9 | 62 | 8 | ✗ | all | 0 | rational |
| 3.9.530 | 3 | 9 | 61 | 8 | ✗ | all | 2 | rational |
| 3.9.532 | 3 | 9 | 61 | 16 | ✗ | all | 1 | rational |
| 3.9.534 | 3 | 9 | 63 | 288 | ✗ | all | 2 | rational |
| 3.9.537 | 3 | 9 | 59 | 16 | ✗ | all | 2 | rational |
| 3.9.538 | 3 | 9 | 57 | 48 | ✗ | all | 2 | rational |
| 3.9.539 | 3 | 9 | 56 | 384 | ✗ | all | 2 | rational |
| 3.9.553 | 3 | 9 | 50 | 12 | ✗ | all but 2 | 1 | rational |
| 3.9.561 | 3 | 9 | 48 | 48 | ✗ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 3.9.567 | 3 | 9 | 49 | 4 | ✗ | all | 1 | rational |
| 3.9.607 | 3 | 9 | 68 | 8 | ✓ | all | 5 | rational |
| 3.9.610 | 3 | 9 | 68 | 48 | ✓ | all | 4 | empty |
| 3.9.614 | 3 | 9 | 67 | 6 | ✓ | all | 5 | rational |
| 3.9.615 | 3 | 9 | 64 | 1152 | ✓ | all | 6 | rational |
| 3.9.623 | 3 | 9 | 62 | 8 | ✗ | all | 2 | rational |