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32,400,859 matroids, showing 251–300
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.7.52 | 3 | 7 | 23 | 24 | ✗ | all | 1 | rational |
| 3.7.53 | 3 | 7 | 22 | 8 | ✗ | all | 0 | rational |
| 3.7.54 | 3 | 7 | 21 | 24 | ✗ | all | 0 | rational |
| 3.7.55 | 3 | 7 | 18 | 24 | ✗ | all | 2 | rational |
| 3.7.56 | 3 | 7 | 21 | 16 | ✗ | all | 0 | rational |
| 3.7.57 | 3 | 7 | 20 | 16 | ✗ | all | 0 | rational |
| 3.7.58 | 3 | 7 | 19 | 8 | ✗ | all | 0 | rational |
| 3.7.59 | 3 | 7 | 16 | 16 | ✗ | all | 0 | rational |
| 3.7.60 | 3 | 7 | 16 | 48 | ✗ | all | 1 | rational |
| 3.7.61 | 3 | 7 | 15 | 12 | ✗ | all | 0 | rational |
| 3.7.62 | 3 | 7 | 12 | 48 | ✗ | all | 3 | rational |
| 3.7.63 | 3 | 7 | 19 | 24 | ✗ | all | 0 | rational |
| 3.7.64 | 3 | 7 | 18 | 12 | ✗ | all | 2 | rational |
| 3.7.65 | 3 | 7 | 16 | 48 | ✗ | all | 2 | rational |
| 3.7.66 | 3 | 7 | 17 | 24 | ✗ | all | 0 | rational |
| 3.7.67 | 3 | 7 | 15 | 24 | ✗ | all | 3 | rational |
| 3.7.68 | 3 | 7 | 14 | 24 | ✗ | all | 0 | rational |
| 3.7.69 | 3 | 7 | 12 | 48 | ✗ | all | 0 | rational |
| 3.7.70 | 3 | 7 | 14 | 8 | ✗ | all | 2 | rational |
| 3.7.71 | 3 | 7 | 13 | 4 | ✗ | all | 0 | rational |
| 3.7.72 | 3 | 7 | 12 | 16 | ✗ | all | 1 | rational |
| 3.7.73 | 3 | 7 | 12 | 16 | ✗ | all | 0 | rational |
| 3.7.74 | 3 | 7 | 10 | 8 | ✗ | all | 2 | rational |
| 3.7.75 | 3 | 7 | 8 | 48 | ✗ | all | 1 | rational |
| 3.7.76 | 3 | 7 | 9 | 24 | ✗ | all | 0 | rational |
| 3.7.77 | 3 | 7 | 8 | 16 | ✗ | all | 0 | rational |
| 3.7.78 | 3 | 7 | 13 | 144 | ✗ | all | 0 | rational |
| 3.7.79 | 3 | 7 | 12 | 144 | ✗ | all | 2 | rational |
| 3.7.80 | 3 | 7 | 10 | 36 | ✗ | all | 0 | rational |
| 3.7.81 | 3 | 7 | 9 | 36 | ✗ | all | 0 | rational |
| 3.7.82 | 3 | 7 | 7 | 24 | ✗ | all | 0 | rational |
| 3.7.83 | 3 | 7 | 6 | 24 | ✗ | all | 2 | rational |
| 3.7.84 | 3 | 7 | 4 | 144 | ✗ | all | 1 | rational |
| 3.7.85 | 3 | 7 | 15 | 720 | ✓ | all | 2 | rational |
| 3.7.86 | 3 | 7 | 14 | 48 | ✗ | all | 0 | rational |
| 3.7.87 | 3 | 7 | 13 | 16 | ✗ | all | 0 | rational |
| 3.7.88 | 3 | 7 | 12 | 48 | ✗ | all | 0 | rational |
| 3.7.89 | 3 | 7 | 10 | 120 | ✗ | all | 0 | rational |
| 3.7.90 | 3 | 7 | 12 | 36 | ✗ | all | 0 | rational |
| 3.7.91 | 3 | 7 | 11 | 12 | ✗ | all | 2 | rational |
| 3.7.92 | 3 | 7 | 9 | 72 | ✗ | all | 2 | rational |
| 3.7.93 | 3 | 7 | 9 | 12 | ✗ | all | 0 | rational |
| 3.7.94 | 3 | 7 | 8 | 8 | ✗ | all | 0 | rational |
| 3.7.95 | 3 | 7 | 6 | 48 | ✗ | all | 0 | rational |
| 3.7.96 | 3 | 7 | 9 | 48 | ✗ | all | 1 | rational |
| 3.7.97 | 3 | 7 | 8 | 48 | ✗ | all | 1 | rational |
| 3.7.98 | 3 | 7 | 7 | 12 | ✗ | all | 0 | rational |
| 3.7.99 | 3 | 7 | 6 | 12 | ✗ | all | 0 | rational |
| 3.7.100 | 3 | 7 | 5 | 8 | ✗ | all | 0 | rational |
| 3.7.101 | 3 | 7 | 4 | 16 | ✗ | all | 2 | rational |