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42 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.7.37 | 4 | 7 | 24 | ? | ✓ | all | 0 | rational |
| 4.7.39 | 4 | 7 | 21 | ? | ✓ | all | 0 | rational |
| 4.7.40 | 4 | 7 | 20 | ? | ✓ | all | 0 | rational |
| 4.7.44 | 4 | 7 | 20 | ? | ✗ | all | 0 | rational |
| 4.7.47 | 4 | 7 | 19 | ? | ✗ | all | 0 | rational |
| 4.7.48 | 4 | 7 | 16 | ? | ✗ | all | 0 | rational |
| 4.7.51 | 4 | 7 | 12 | ? | ✗ | all | 0 | rational |
| 4.7.56 | 4 | 7 | 18 | ? | ✗ | all | 0 | rational |
| 4.7.57 | 4 | 7 | 17 | ? | ✗ | all | 0 | rational |
| 4.7.58 | 4 | 7 | 15 | ? | ✗ | all | 0 | rational |
| 4.7.59 | 4 | 7 | 16 | ? | ✗ | all | 0 | rational |
| 4.7.60 | 4 | 7 | 14 | ? | ✗ | all | 0 | rational |
| 4.7.61 | 4 | 7 | 12 | ? | ✗ | all | 0 | rational |
| 4.7.63 | 4 | 7 | 11 | ? | ✗ | all | 0 | rational |
| 4.7.64 | 4 | 7 | 9 | ? | ✗ | all | 0 | rational |
| 4.7.65 | 4 | 7 | 13 | ? | ✗ | all | 0 | rational |
| 4.7.66 | 4 | 7 | 12 | ? | ✗ | all | 0 | rational |
| 4.7.67 | 4 | 7 | 9 | ? | ✗ | all | 0 | rational |
| 4.7.68 | 4 | 7 | 8 | ? | ✗ | all | 0 | rational |
| 4.7.69 | 4 | 7 | 5 | ? | ✗ | all | 0 | rational |
| 4.7.75 | 4 | 7 | 16 | ? | ✓ | all | 0 | rational |
| 4.7.83 | 4 | 7 | 13 | ? | ✗ | all | 0 | rational |
| 4.7.84 | 4 | 7 | 12 | ? | ✗ | all | 0 | rational |
| 4.7.85 | 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 |
| 4.7.90 | 4 | 7 | 10 | ? | ✗ | all | 0 | rational |
| 4.7.91 | 4 | 7 | 9 | ? | ✗ | all | 0 | rational |
| 4.7.92 | 4 | 7 | 7 | ? | ✗ | all | 0 | rational |
| 4.7.93 | 4 | 7 | 6 | ? | ✗ | all | 0 | rational |
| 4.7.94 | 4 | 7 | 4 | ? | ✗ | all | 0 | rational |
| 4.7.97 | 4 | 7 | 8 | ? | ✗ | all | 0 | 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 |