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19 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.8.733 | 4 | 8 | 34 | 4 | ✗ | all | 1 | rational |
| 4.8.735 | 4 | 8 | 33 | 16 | ✗ | all | 1 | rational |
| 4.8.736 | 4 | 8 | 32 | 16 | ✗ | all | 1 | rational |
| 4.8.741 | 4 | 8 | 31 | 8 | ✗ | all | 2 | rational |
| 4.8.742 | 4 | 8 | 28 | 96 | ✗ | all | 4 | rational |
| 4.8.746 | 4 | 8 | 33 | 16 | ✗ | all | 2 | rational |
| 4.8.747 | 4 | 8 | 32 | 16 | ✗ | all | 3 | rational |
| 4.8.749 | 4 | 8 | 32 | 64 | ✗ | all | 3 | rational |
| 4.8.751 | 4 | 8 | 31 | 8 | ✗ | all | 1 | rational |
| 4.8.754 | 4 | 8 | 29 | 16 | ✗ | all | 2 | rational |
| 4.8.757 | 4 | 8 | 28 | 96 | ✗ | all | 2 | rational |
| 4.8.777 | 4 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 4.8.780 | 4 | 8 | 27 | 24 | ✗ | all | 0 | rational |
| 4.8.801 | 4 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 4.8.802 | 4 | 8 | 27 | 24 | ✗ | all | 0 | rational |
| 4.8.808 | 4 | 8 | 25 | 36 | ✗ | all | 1 | rational |
| 4.8.809 | 4 | 8 | 23 | 72 | ✗ | all | 1 | rational |
| 4.8.811 | 4 | 8 | 23 | 72 | ✗ | all | 1 | rational |
| 4.8.825 | 4 | 8 | 17 | 576 | ✗ | all | 0 | rational |