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32,400,859 matroids, showing 4,301–4,350
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.185913 | 4 | 9 | 101 | 12 | ✓ | all | 3 | rational |
| 4.9.185912 | 4 | 9 | 102 | 24 | ✓ | all but 2 | 2 | rational |
| 4.9.185911 | 4 | 9 | 93 | 36 | ✓ | all | 2 | rational |
| 4.9.185910 | 4 | 9 | 98 | 4 | ✓ | all | 3 | rational |
| 4.9.185909 | 4 | 9 | 99 | 4 | ✓ | all | 4 | rational |
| 4.9.185908 | 4 | 9 | 99 | 2 | ✓ | all | 3 | rational |
| 4.9.185907 | 4 | 9 | 99 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185906 | 4 | 9 | 100 | 1 | ✓ | all | 1 | rational |
| 4.9.185905 | 4 | 9 | 100 | 2 | ✓ | all | 3 | rational |
| 4.9.185904 | 4 | 9 | 101 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.185903 | 4 | 9 | 101 | 2 | ✓ | all | 1 | rational |
| 4.9.185902 | 4 | 9 | 101 | 1 | ✓ | all | 2 | rational |
| 4.9.185901 | 4 | 9 | 101 | 1 | ✓ | all | 2 | rational |
| 4.9.185900 | 4 | 9 | 102 | 1 | ✓ | all | 1 | rational |
| 4.9.185899 | 4 | 9 | 101 | 1 | ✓ | all | 2 | rational |
| 4.9.185898 | 4 | 9 | 102 | 2 | ✓ | all | 4 | rational |
| 4.9.185897 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185896 | 4 | 9 | 102 | 1 | ✓ | all | 3 | rational |
| 4.9.185895 | 4 | 9 | 103 | 2 | ✓ | all | 1 | rational |
| 4.9.185894 | 4 | 9 | 99 | 18 | ✓ | ∅ | -1 | empty |
| 4.9.185893 | 4 | 9 | 100 | 2 | ✓ | all | 3 | empty |
| 4.9.185892 | 4 | 9 | 100 | 2 | ✓ | all | 4 | point over Q(a)/(a^2 + 1) |
| 4.9.185891 | 4 | 9 | 101 | 2 | ✓ | all | 2 | rational |
| 4.9.185890 | 4 | 9 | 101 | 2 | ✓ | all | 1 | rational |
| 4.9.185889 | 4 | 9 | 102 | 6 | ✓ | all | 3 | rational |
| 4.9.185888 | 4 | 9 | 101 | 2 | ✓ | all | 1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.185887 | 4 | 9 | 101 | 2 | ✓ | all | 3 | rational |
| 4.9.185886 | 4 | 9 | 101 | 1 | ✓ | all | 2 | rational |
| 4.9.185885 | 4 | 9 | 102 | 1 | ✓ | all | 4 | rational |
| 4.9.185884 | 4 | 9 | 101 | 2 | ✓ | all | 2 | empty |
| 4.9.185883 | 4 | 9 | 101 | 1 | ✓ | all | 0 | rational |
| 4.9.185882 | 4 | 9 | 102 | 1 | ✓ | all | 2 | rational |
| 4.9.185881 | 4 | 9 | 101 | 1 | ✓ | all | 2 | rational |
| 4.9.185880 | 4 | 9 | 101 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185879 | 4 | 9 | 102 | 1 | ✓ | all | 4 | rational |
| 4.9.185878 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185877 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185876 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185875 | 4 | 9 | 102 | 1 | ✓ | all | 2 | rational |
| 4.9.185874 | 4 | 9 | 103 | 1 | ✓ | all | 2 | rational |
| 4.9.185873 | 4 | 9 | 102 | 1 | ✓ | all | 2 | rational |
| 4.9.185872 | 4 | 9 | 101 | 2 | ✓ | all | 3 | rational |
| 4.9.185871 | 4 | 9 | 102 | 1 | ✓ | all | 4 | rational |
| 4.9.185870 | 4 | 9 | 101 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.185869 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185868 | 4 | 9 | 101 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185867 | 4 | 9 | 102 | 1 | ✓ | all | 2 | rational |
| 4.9.185866 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185865 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185864 | 4 | 9 | 102 | 1 | ✓ | all | 1 | rational |