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108 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.7.0 | 4 | 7 | 35 | ? | ✓ | all | 6 | rational |
| 4.7.1 | 4 | 7 | 34 | ? | ✓ | all | 5 | rational |
| 4.7.2 | 4 | 7 | 33 | ? | ✓ | all | 4 | rational |
| 4.7.3 | 4 | 7 | 33 | ? | ✓ | all | 4 | rational |
| 4.7.4 | 4 | 7 | 32 | ? | ✓ | all | 3 | rational |
| 4.7.5 | 4 | 7 | 32 | ? | ✓ | all | 3 | rational |
| 4.7.6 | 4 | 7 | 31 | ? | ✓ | all | 2 | rational |
| 4.7.7 | 4 | 7 | 31 | ? | ✓ | all | 2 | rational |
| 4.7.8 | 4 | 7 | 32 | ? | ✓ | all | 3 | rational |
| 4.7.9 | 4 | 7 | 31 | ? | ✓ | all | 2 | rational |
| 4.7.10 | 4 | 7 | 30 | ? | ✓ | all | 1 | rational |
| 4.7.11 | 4 | 7 | 30 | ? | ✓ | all | 1 | rational |
| 4.7.12 | 4 | 7 | 29 | ? | ✓ | all but 2 | 0 | rational |
| 4.7.13 | 4 | 7 | 28 | ? | ✓ | {2} | -1 | empty |
| 4.7.14 | 4 | 7 | 31 | ? | ✓ | all | 4 | rational |
| 4.7.15 | 4 | 7 | 30 | ? | ✓ | all | 3 | rational |
| 4.7.16 | 4 | 7 | 30 | ? | ✓ | all | 3 | rational |
| 4.7.17 | 4 | 7 | 29 | ? | ✓ | all | 2 | rational |
| 4.7.18 | 4 | 7 | 28 | ? | ✓ | all | 1 | rational |
| 4.7.19 | 4 | 7 | 27 | ? | ✓ | all | 2 | rational |
| 4.7.20 | 4 | 7 | 25 | ? | ✗ | all | 3 | rational |
| 4.7.21 | 4 | 7 | 24 | ? | ✗ | all | 2 | rational |
| 4.7.22 | 4 | 7 | 15 | ? | ✗ | all | 3 | rational |
| 4.7.23 | 4 | 7 | 30 | ? | ✓ | all | 4 | rational |
| 4.7.24 | 4 | 7 | 29 | ? | ✓ | all | 3 | rational |
| 4.7.25 | 4 | 7 | 28 | ? | ✓ | all | 2 | rational |
| 4.7.26 | 4 | 7 | 26 | ? | ✓ | all | 2 | rational |
| 4.7.27 | 4 | 7 | 20 | ? | ✗ | all | 2 | rational |
| 4.7.28 | 4 | 7 | 28 | ? | ✓ | all | 3 | rational |
| 4.7.29 | 4 | 7 | 27 | ? | ✓ | all | 2 | rational |
| 4.7.30 | 4 | 7 | 27 | ? | ✓ | all | 2 | rational |
| 4.7.31 | 4 | 7 | 26 | ? | ✓ | all | 1 | rational |
| 4.7.32 | 4 | 7 | 24 | ? | ✓ | all | 1 | rational |
| 4.7.33 | 4 | 7 | 25 | ? | ✓ | all | 2 | rational |
| 4.7.34 | 4 | 7 | 24 | ? | ✓ | all | 1 | rational |
| 4.7.35 | 4 | 7 | 26 | ? | ✓ | all | 2 | rational |
| 4.7.36 | 4 | 7 | 25 | ? | ✓ | all | 1 | rational |
| 4.7.37 | 4 | 7 | 24 | ? | ✓ | all | 0 | rational |
| 4.7.38 | 4 | 7 | 23 | ? | ✓ | all | 1 | rational |
| 4.7.39 | 4 | 7 | 21 | ? | ✓ | all | 0 | rational |
| 4.7.40 | 4 | 7 | 20 | ? | ✓ | all | 0 | rational |
| 4.7.41 | 4 | 7 | 23 | ? | ✗ | all | 2 | rational |
| 4.7.42 | 4 | 7 | 22 | ? | ✗ | all | 1 | rational |
| 4.7.43 | 4 | 7 | 21 | ? | ✗ | all | 1 | rational |
| 4.7.44 | 4 | 7 | 20 | ? | ✗ | all | 0 | rational |
| 4.7.45 | 4 | 7 | 21 | ? | ✗ | all | 1 | rational |
| 4.7.46 | 4 | 7 | 18 | ? | ✗ | all | 1 | rational |
| 4.7.47 | 4 | 7 | 19 | ? | ✗ | all | 0 | rational |
| 4.7.48 | 4 | 7 | 16 | ? | ✗ | all | 0 | rational |
| 4.7.49 | 4 | 7 | 14 | ? | ✗ | all | 2 | rational |