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940 matroids, showing 1–50
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.8.939 | 4 | 8 | 1 | 576 | ✗ | all | 1 | rational |
| 4.8.938 | 4 | 8 | 2 | 72 | ✗ | all | 1 | rational |
| 4.8.937 | 4 | 8 | 3 | 72 | ✗ | all | 1 | rational |
| 4.8.936 | 4 | 8 | 4 | 144 | ✗ | all | 2 | rational |
| 4.8.935 | 4 | 8 | 5 | 720 | ✗ | all | 0 | rational |
| 4.8.934 | 4 | 8 | 3 | 72 | ✗ | all | 0 | rational |
| 4.8.933 | 4 | 8 | 4 | 32 | ✗ | all | 0 | rational |
| 4.8.932 | 4 | 8 | 5 | 16 | ✗ | all | 1 | rational |
| 4.8.931 | 4 | 8 | 6 | 24 | ✗ | all | 1 | rational |
| 4.8.930 | 4 | 8 | 7 | 24 | ✗ | all | 1 | rational |
| 4.8.929 | 4 | 8 | 8 | 96 | ✗ | all | 1 | rational |
| 4.8.928 | 4 | 8 | 9 | 96 | ✗ | all | 2 | rational |
| 4.8.927 | 4 | 8 | 6 | 96 | ✗ | all | 2 | rational |
| 4.8.926 | 4 | 8 | 8 | 16 | ✗ | all | 2 | rational |
| 4.8.925 | 4 | 8 | 9 | 24 | ✗ | all | 3 | rational |
| 4.8.924 | 4 | 8 | 9 | 144 | ✗ | all | 2 | rational |
| 4.8.923 | 4 | 8 | 11 | 24 | ✗ | all | 1 | rational |
| 4.8.922 | 4 | 8 | 12 | 72 | ✗ | all | 2 | rational |
| 4.8.921 | 4 | 8 | 10 | 240 | ✗ | all | 1 | rational |
| 4.8.920 | 4 | 8 | 12 | 96 | ✗ | all | 1 | rational |
| 4.8.919 | 4 | 8 | 13 | 32 | ✗ | all | 2 | rational |
| 4.8.918 | 4 | 8 | 14 | 96 | ✗ | all | 0 | rational |
| 4.8.917 | 4 | 8 | 15 | 1440 | ✓ | all | 1 | rational |
| 4.8.916 | 4 | 8 | 4 | 144 | ✗ | all | 2 | rational |
| 4.8.915 | 4 | 8 | 6 | 24 | ✗ | all | 2 | rational |
| 4.8.914 | 4 | 8 | 7 | 24 | ✗ | all | 3 | rational |
| 4.8.913 | 4 | 8 | 9 | 36 | ✗ | all | 0 | rational |
| 4.8.912 | 4 | 8 | 10 | 36 | ✗ | all | 0 | rational |
| 4.8.911 | 4 | 8 | 12 | 144 | ✗ | all | 1 | rational |
| 4.8.910 | 4 | 8 | 13 | 144 | ✗ | all | 1 | rational |
| 4.8.909 | 4 | 8 | 8 | 16 | ✗ | all | 2 | rational |
| 4.8.908 | 4 | 8 | 9 | 24 | ✗ | all | 0 | rational |
| 4.8.907 | 4 | 8 | 8 | 48 | ✗ | all | 1 | rational |
| 4.8.906 | 4 | 8 | 10 | 8 | ✗ | all | 2 | rational |
| 4.8.905 | 4 | 8 | 12 | 16 | ✗ | all | 1 | rational |
| 4.8.904 | 4 | 8 | 12 | 16 | ✗ | all | 1 | rational |
| 4.8.903 | 4 | 8 | 13 | 4 | ✗ | all | 2 | rational |
| 4.8.902 | 4 | 8 | 14 | 8 | ✗ | all | 2 | rational |
| 4.8.901 | 4 | 8 | 12 | 48 | ✗ | all | 3 | rational |
| 4.8.900 | 4 | 8 | 14 | 24 | ✗ | all | 2 | rational |
| 4.8.899 | 4 | 8 | 15 | 24 | ✗ | all | 2 | rational |
| 4.8.898 | 4 | 8 | 17 | 24 | ✗ | all | 1 | rational |
| 4.8.897 | 4 | 8 | 16 | 48 | ✗ | all | 2 | rational |
| 4.8.896 | 4 | 8 | 18 | 12 | ✗ | all | 3 | rational |
| 4.8.895 | 4 | 8 | 19 | 24 | ✗ | all | 3 | rational |
| 4.8.894 | 4 | 8 | 12 | 48 | ✗ | all | 4 | rational |
| 4.8.893 | 4 | 8 | 15 | 12 | ✗ | all | 4 | rational |
| 4.8.892 | 4 | 8 | 16 | 48 | ✗ | all | 2 | rational |
| 4.8.891 | 4 | 8 | 16 | 16 | ✗ | all | 3 | rational |
| 4.8.890 | 4 | 8 | 19 | 8 | ✗ | all | 4 | rational |