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30 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.7.39 | 4 | 7 | 21 | ? | ✓ | all | 0 | rational |
| 4.7.40 | 4 | 7 | 20 | ? | ✓ | all | 0 | rational |
| 4.7.48 | 4 | 7 | 16 | ? | ✗ | all | 0 | rational |
| 4.7.54 | 4 | 7 | 18 | ? | ✓ | all | 1 | rational |
| 4.7.58 | 4 | 7 | 15 | ? | ✗ | all | 0 | rational |
| 4.7.61 | 4 | 7 | 12 | ? | ✗ | all | 0 | rational |
| 4.7.64 | 4 | 7 | 9 | ? | ✗ | all | 0 | rational |
| 4.7.75 | 4 | 7 | 16 | ? | ✓ | all | 0 | rational |
| 4.7.80 | 4 | 7 | 15 | ? | ✓ | all | 1 | rational |
| 4.7.81 | 4 | 7 | 12 | ? | ✗ | all | 1 | rational |
| 4.7.83 | 4 | 7 | 13 | ? | ✗ | all | 0 | rational |
| 4.7.84 | 4 | 7 | 12 | ? | ✗ | all | 0 | rational |
| 4.7.86 | 4 | 7 | 10 | ? | ✗ | all | 0 | rational |
| 4.7.87 | 4 | 7 | 8 | ? | ✗ | all | 0 | rational |
| 4.7.89 | 4 | 7 | 8 | ? | ✗ | all | 0 | rational |
| 4.7.91 | 4 | 7 | 9 | ? | ✗ | all | 0 | rational |
| 4.7.93 | 4 | 7 | 6 | ? | ✗ | all | 0 | rational |
| 4.7.95 | 4 | 7 | 10 | ? | ✓ | all | 2 | rational |
| 4.7.96 | 4 | 7 | 9 | ? | ✗ | all | 1 | rational |
| 4.7.97 | 4 | 7 | 8 | ? | ✗ | all | 0 | rational |
| 4.7.98 | 4 | 7 | 6 | ? | ✗ | all | 1 | rational |
| 4.7.99 | 4 | 7 | 7 | ? | ✗ | all | 0 | rational |
| 4.7.100 | 4 | 7 | 6 | ? | ✗ | all | 0 | rational |
| 4.7.101 | 4 | 7 | 5 | ? | ✗ | all | 0 | rational |
| 4.7.102 | 4 | 7 | 4 | ? | ✗ | all | 0 | rational |
| 4.7.103 | 4 | 7 | 3 | ? | ✗ | all | 0 | rational |
| 4.7.104 | 4 | 7 | 4 | ? | ✗ | all | 0 | rational |
| 4.7.105 | 4 | 7 | 3 | ? | ✗ | all | 0 | rational |
| 4.7.106 | 4 | 7 | 2 | ? | ✗ | all | 0 | rational |
| 4.7.107 | 4 | 7 | 1 | ? | ✗ | all | 0 | rational |