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8 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.7.36 | 3 | 7 | 21 | 8 | ✗ | all | 1 | rational |
| 3.7.37 | 3 | 7 | 20 | 48 | ✗ | all | 0 | rational |
| 3.7.57 | 3 | 7 | 20 | 16 | ✗ | all | 0 | rational |
| 3.7.58 | 3 | 7 | 19 | 8 | ✗ | all | 0 | rational |
| 3.7.64 | 3 | 7 | 18 | 12 | ✗ | all | 2 | rational |
| 3.7.65 | 3 | 7 | 16 | 48 | ✗ | all | 2 | rational |
| 3.7.66 | 3 | 7 | 17 | 24 | ✗ | all | 0 | rational |
| 3.7.78 | 3 | 7 | 13 | 144 | ✗ | all | 0 | rational |