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299 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.110 | 3 | 9 | 72 | 432 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 3.9.353 | 3 | 9 | 69 | 12 | ✓ | all | 2 | empty |
| 3.9.358 | 3 | 9 | 68 | 24 | ✓ | all | 1 | rational |
| 3.9.458 | 3 | 9 | 66 | 12 | ✗ | all | 5 | point over Q(a)/(a^2 - a + 1) |
| 3.9.494 | 3 | 9 | 63 | 24 | ✗ | all | 2 | rational |
| 3.9.500 | 3 | 9 | 64 | 4 | ✗ | all | 3 | rational |
| 3.9.530 | 3 | 9 | 61 | 8 | ✗ | all | 2 | rational |
| 3.9.533 | 3 | 9 | 60 | 32 | ✗ | all | 1 | rational |
| 3.9.538 | 3 | 9 | 57 | 48 | ✗ | all | 2 | rational |
| 3.9.561 | 3 | 9 | 48 | 48 | ✗ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 3.9.675 | 3 | 9 | 62 | 8 | ✗ | all | 1 | rational |
| 3.9.677 | 3 | 9 | 63 | 8 | ✗ | all | 1 | rational |
| 3.9.680 | 3 | 9 | 62 | 4 | ✗ | all | 5 | rational |
| 3.9.684 | 3 | 9 | 60 | 24 | ✗ | all | 3 | rational |
| 3.9.694 | 3 | 9 | 58 | 8 | ✗ | all | 0 | rational |
| 3.9.695 | 3 | 9 | 57 | 8 | ✗ | all | 3 | rational |
| 3.9.696 | 3 | 9 | 56 | 32 | ✗ | all | 4 | rational |
| 3.9.715 | 3 | 9 | 60 | 16 | ✗ | all | 5 | rational |
| 3.9.722 | 3 | 9 | 59 | 8 | ✗ | all | 2 | rational |
| 3.9.725 | 3 | 9 | 60 | 8 | ✗ | all | 1 | rational |
| 3.9.727 | 3 | 9 | 58 | 8 | ✗ | all | 2 | rational |
| 3.9.729 | 3 | 9 | 57 | 16 | ✗ | all | 2 | rational |
| 3.9.731 | 3 | 9 | 58 | 8 | ✗ | all | 2 | rational |
| 3.9.736 | 3 | 9 | 56 | 4 | ✗ | all | 3 | rational |
| 3.9.738 | 3 | 9 | 57 | 32 | ✗ | all | 1 | rational |
| 3.9.741 | 3 | 9 | 52 | 64 | ✗ | all | 1 | rational |
| 3.9.743 | 3 | 9 | 55 | 8 | ✗ | all | 1 | rational |
| 3.9.744 | 3 | 9 | 52 | 32 | ✗ | all | 3 | rational |
| 3.9.745 | 3 | 9 | 48 | 128 | ✗ | all | 1 | rational |
| 3.9.747 | 3 | 9 | 54 | 16 | ✗ | all | 0 | rational |
| 3.9.748 | 3 | 9 | 53 | 8 | ✗ | all | 1 | rational |
| 3.9.749 | 3 | 9 | 51 | 16 | ✗ | all | 2 | rational |
| 3.9.750 | 3 | 9 | 51 | 48 | ✗ | all | 2 | rational |
| 3.9.751 | 3 | 9 | 50 | 48 | ✗ | all | 4 | rational |
| 3.9.773 | 3 | 9 | 46 | 8 | ✗ | all | 1 | rational |
| 3.9.778 | 3 | 9 | 45 | 12 | ✗ | all | 1 | rational |
| 3.9.802 | 3 | 9 | 54 | 72 | ✗ | all | 3 | rational |
| 3.9.804 | 3 | 9 | 56 | 12 | ✗ | all | 1 | rational |
| 3.9.809 | 3 | 9 | 53 | 36 | ✗ | all | 1 | rational |
| 3.9.810 | 3 | 9 | 55 | 48 | ✗ | all | 0 | rational |
| 3.9.812 | 3 | 9 | 54 | 12 | ✗ | all | 1 | rational |
| 3.9.822 | 3 | 9 | 53 | 48 | ✗ | all | 3 | rational |
| 3.9.825 | 3 | 9 | 52 | 12 | ✗ | {2} | -1 | rational |
| 3.9.826 | 3 | 9 | 50 | 24 | ✗ | all | 4 | rational |
| 3.9.827 | 3 | 9 | 51 | 24 | ✗ | all | 3 | rational |
| 3.9.828 | 3 | 9 | 48 | 48 | ✗ | all | 6 | rational |
| 3.9.829 | 3 | 9 | 48 | 24 | ✗ | all | 3 | rational |
| 3.9.831 | 3 | 9 | 49 | 48 | ✗ | all | 0 | rational |
| 3.9.832 | 3 | 9 | 48 | 96 | ✗ | all | 1 | rational |
| 3.9.833 | 3 | 9 | 44 | 288 | ✗ | all | 3 | rational |