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32,400,859 matroids, showing 16,301–16,350
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.173913 | 4 | 9 | 109 | 1 | ✓ | all | 4 | rational |
| 4.9.173912 | 4 | 9 | 105 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.173911 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.173910 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173909 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173908 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173907 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173906 | 4 | 9 | 107 | 1 | ✓ | {7} | -1 | genus 1 curve (11a3) |
| 4.9.173905 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173904 | 4 | 9 | 107 | 1 | ✓ | all but 2,3,5,7 | 0 | rational |
| 4.9.173903 | 4 | 9 | 107 | 1 | ✓ | {7} | -1 | rational |
| 4.9.173902 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173901 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173900 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173899 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173898 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173897 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational |
| 4.9.173896 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173895 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173894 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173893 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.173892 | 4 | 9 | 108 | 1 | ✓ | {3} | -1 | rational |
| 4.9.173891 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.173890 | 4 | 9 | 108 | 1 | ✓ | all but 2,3,5,7 | 0 | rational |
| 4.9.173889 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173888 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.173887 | 4 | 9 | 108 | 1 | ✓ | all but 2,3,7 | 0 | rational |
| 4.9.173886 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173885 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173884 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.173883 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.173882 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.173881 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.173880 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.173879 | 4 | 9 | 110 | 1 | ✓ | all | 2 | rational |
| 4.9.173878 | 4 | 9 | 106 | 1 | ✓ | all | 4 | rational |
| 4.9.173877 | 4 | 9 | 106 | 1 | ✓ | all | 1 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.173876 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173875 | 4 | 9 | 107 | 1 | ✓ | all but 3 | 1 | rational |
| 4.9.173874 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173873 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173872 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173871 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173870 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173869 | 4 | 9 | 107 | 1 | ✓ | all | 1 | genus 1 curve (11a3) |
| 4.9.173868 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173867 | 4 | 9 | 108 | 1 | ✓ | all | 0 | rational |
| 4.9.173866 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173865 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.173864 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |