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32,400,859 matroids, showing 17,301–17,350
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.172913 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.172912 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.172911 | 4 | 9 | 107 | 1 | ✓ | all | 5 | rational |
| 4.9.172910 | 4 | 9 | 104 | 1 | ✓ | all | 3 | rational |
| 4.9.172909 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.172908 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.172907 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.172906 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.172905 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.172904 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.172903 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.172902 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.172901 | 4 | 9 | 108 | 2 | ✓ | all | 4 | rational |
| 4.9.172900 | 4 | 9 | 109 | 2 | ✓ | all | 2 | rational |
| 4.9.172899 | 4 | 9 | 107 | 2 | ✓ | all | 2 | rational |
| 4.9.172898 | 4 | 9 | 108 | 4 | ✓ | all | 3 | rational |
| 4.9.172897 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.172896 | 4 | 9 | 108 | 4 | ✓ | all but 2 | 2 | rational |
| 4.9.172895 | 4 | 9 | 108 | 4 | ✓ | all | 3 | rational |
| 4.9.172894 | 4 | 9 | 109 | 4 | ✓ | all but 2 | 1 | rational |
| 4.9.172893 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.172892 | 4 | 9 | 108 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.172891 | 4 | 9 | 109 | 4 | ✓ | all but 2 | 1 | rational |
| 4.9.172890 | 4 | 9 | 104 | 4 | ✓ | all | 1 | rational |
| 4.9.172889 | 4 | 9 | 109 | 2 | ✓ | all | 1 | rational |
| 4.9.172888 | 4 | 9 | 109 | 4 | ✓ | all | 1 | rational |
| 4.9.172887 | 4 | 9 | 109 | 2 | ✓ | all | 2 | rational |
| 4.9.172886 | 4 | 9 | 109 | 4 | ✓ | all | 3 | rational |
| 4.9.172885 | 4 | 9 | 110 | 4 | ✓ | all | 6 | rational |
| 4.9.172884 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.172883 | 4 | 9 | 107 | 2 | ✓ | all | 4 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.172882 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.172881 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.172880 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.172879 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.172878 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172877 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.172876 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 0 | rational |
| 4.9.172875 | 4 | 9 | 108 | 2 | ✓ | all but 2 | 2 | rational |
| 4.9.172874 | 4 | 9 | 108 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.172873 | 4 | 9 | 109 | 2 | ✓ | all | 3 | rational |
| 4.9.172872 | 4 | 9 | 104 | 2 | ✓ | all | 3 | rational |
| 4.9.172871 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.172870 | 4 | 9 | 109 | 2 | ✓ | all | 2 | rational |
| 4.9.172869 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.172868 | 4 | 9 | 109 | 2 | ✓ | {2} | -1 | rational |
| 4.9.172867 | 4 | 9 | 110 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.172866 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.172865 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |
| 4.9.172864 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |