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9 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.5.2 | 3 | 5 | 8 | ? | ✓ | all | 0 | rational |
| 3.5.4 | 3 | 5 | 6 | ? | ✗ | all | 0 | rational |
| 3.5.6 | 3 | 5 | 6 | ? | ✓ | all | 1 | rational |
| 3.5.7 | 3 | 5 | 5 | ? | ✗ | all | 0 | rational |
| 3.5.8 | 3 | 5 | 4 | ? | ✗ | all | 0 | rational |
| 3.5.9 | 3 | 5 | 3 | ? | ✗ | all | 0 | rational |
| 3.5.10 | 3 | 5 | 3 | ? | ✗ | all | 0 | rational |
| 3.5.11 | 3 | 5 | 2 | ? | ✗ | all | 0 | rational |
| 3.5.12 | 3 | 5 | 1 | ? | ✗ | all | 0 | rational |