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260 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.353 | 3 | 9 | 69 | 12 | ✓ | all | 2 | empty |
| 3.9.358 | 3 | 9 | 68 | 24 | ✓ | all | 1 | rational |
| 3.9.494 | 3 | 9 | 63 | 24 | ✗ | all | 2 | rational |
| 3.9.500 | 3 | 9 | 64 | 4 | ✗ | all | 3 | rational |
| 3.9.501 | 3 | 9 | 64 | 12 | ✗ | all | 3 | empty |
| 3.9.607 | 3 | 9 | 68 | 8 | ✓ | all | 5 | rational |
| 3.9.609 | 3 | 9 | 68 | 8 | ✓ | all | 3 | 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 |
| 3.9.643 | 3 | 9 | 64 | 48 | ✗ | all | 5 | empty |
| 3.9.647 | 3 | 9 | 60 | 96 | ✗ | all | 4 | rational |
| 3.9.675 | 3 | 9 | 62 | 8 | ✗ | all | 1 | rational |
| 3.9.677 | 3 | 9 | 63 | 8 | ✗ | all | 1 | rational |
| 3.9.678 | 3 | 9 | 62 | 16 | ✗ | all | 1 | empty |
| 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 |
| 3.9.704 | 3 | 9 | 56 | 192 | ✗ | all | 2 | rational |
| 3.9.727 | 3 | 9 | 58 | 8 | ✗ | all | 2 | rational |
| 3.9.732 | 3 | 9 | 56 | 32 | ✗ | all | 3 | empty |
| 3.9.736 | 3 | 9 | 56 | 4 | ✗ | all | 3 | rational |
| 3.9.744 | 3 | 9 | 52 | 32 | ✗ | all | 3 | rational |
| 3.9.745 | 3 | 9 | 48 | 128 | ✗ | all | 1 | rational |
| 3.9.749 | 3 | 9 | 51 | 16 | ✗ | all | 2 | rational |
| 3.9.751 | 3 | 9 | 50 | 48 | ✗ | all | 4 | rational |
| 3.9.773 | 3 | 9 | 46 | 8 | ✗ | all | 1 | rational |
| 3.9.774 | 3 | 9 | 46 | 24 | ✗ | all | 3 | empty |
| 3.9.778 | 3 | 9 | 45 | 12 | ✗ | all | 1 | rational |
| 3.9.794 | 3 | 9 | 52 | 144 | ✗ | all | 1 | rational |
| 3.9.811 | 3 | 9 | 52 | 144 | ✗ | all | 3 | empty |
| 3.9.812 | 3 | 9 | 54 | 12 | ✗ | all | 1 | rational |
| 3.9.828 | 3 | 9 | 48 | 48 | ✗ | all | 6 | rational |
| 3.9.829 | 3 | 9 | 48 | 24 | ✗ | all | 3 | rational |
| 3.9.835 | 3 | 9 | 44 | 48 | ✗ | all | 1 | rational |
| 3.9.865 | 3 | 9 | 40 | 48 | ✗ | all | 4 | empty |
| 3.9.866 | 3 | 9 | 41 | 4 | ✗ | all | 1 | rational |
| 3.9.877 | 3 | 9 | 36 | 32 | ✗ | all | 2 | rational |
| 3.9.893 | 3 | 9 | 28 | 336 | ✗ | all | 5 | empty |
| 3.9.898 | 3 | 9 | 40 | 2880 | ✗ | all | 3 | rational |
| 3.9.911 | 3 | 9 | 61 | 36 | ✓ | all | 5 | rational |
| 3.9.912 | 3 | 9 | 60 | 720 | ✓ | all | 4 | rational |
| 3.9.914 | 3 | 9 | 55 | 240 | ✗ | all | 4 | rational |
| 3.9.915 | 3 | 9 | 45 | 4320 | ✗ | all | 4 | rational |
| 3.9.920 | 3 | 9 | 58 | 12 | ✗ | all | 2 | rational |
| 3.9.921 | 3 | 9 | 57 | 72 | ✗ | all | 2 | rational |
| 3.9.924 | 3 | 9 | 57 | 8 | ✗ | all | 3 | rational |