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15 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.6.0 | 3 | 6 | 20 | 720 | ✓ | all | 4 | rational |
| 3.6.1 | 3 | 6 | 19 | 36 | ✓ | all | 3 | rational |
| 3.6.2 | 3 | 6 | 18 | 72 | ✓ | all | 2 | rational |
| 3.6.3 | 3 | 6 | 18 | 8 | ✓ | all | 2 | rational |
| 3.6.4 | 3 | 6 | 17 | 6 | ✓ | all | 1 | rational |
| 3.6.5 | 3 | 6 | 16 | 24 | ✓ | all | 0 | rational |
| 3.6.6 | 3 | 6 | 16 | 48 | ✗ | all | 0 | rational |
| 3.6.7 | 3 | 6 | 15 | 12 | ✗ | all | 0 | rational |
| 3.6.9 | 3 | 6 | 16 | 48 | ✓ | all | 2 | rational |
| 3.6.10 | 3 | 6 | 15 | 12 | ✓ | all | 1 | rational |
| 3.6.12 | 3 | 6 | 14 | 8 | ✗ | all | 0 | rational |
| 3.6.13 | 3 | 6 | 13 | 4 | ✗ | all | 2 | rational |
| 3.6.14 | 3 | 6 | 12 | 16 | ✗ | all | 0 | rational |
| 3.6.15 | 3 | 6 | 12 | 16 | ✗ | all | 1 | rational |
| 3.6.20 | 3 | 6 | 10 | 36 | ✗ | all | 0 | rational |