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32,400,859 matroids, showing 4,351–4,400
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.185863 | 4 | 9 | 103 | 1 | ✓ | all | 2 | rational |
| 4.9.185862 | 4 | 9 | 103 | 2 | ✓ | all | 3 | rational |
| 4.9.185861 | 4 | 9 | 103 | 2 | ✓ | all | 3 | rational |
| 4.9.185860 | 4 | 9 | 103 | 1 | ✓ | all but 2,5 | 0 | rational |
| 4.9.185859 | 4 | 9 | 103 | 1 | ✓ | all | 3 | rational |
| 4.9.185858 | 4 | 9 | 103 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185857 | 4 | 9 | 103 | 1 | ✓ | all | 3 | rational |
| 4.9.185856 | 4 | 9 | 103 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185855 | 4 | 9 | 104 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185854 | 4 | 9 | 103 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185853 | 4 | 9 | 104 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185852 | 4 | 9 | 105 | 12 | ✓ | all | 5 | rational |
| 4.9.185851 | 4 | 9 | 96 | 12 | ✓ | all but 2 | 1 | rational |
| 4.9.185850 | 4 | 9 | 100 | 1 | ✓ | all | 2 | rational |
| 4.9.185849 | 4 | 9 | 100 | 2 | ✓ | all | 3 | rational |
| 4.9.185848 | 4 | 9 | 101 | 2 | ✓ | all | 3 | rational |
| 4.9.185847 | 4 | 9 | 100 | 2 | ✓ | all | 4 | rational |
| 4.9.185846 | 4 | 9 | 101 | 2 | ✓ | all | 2 | rational |
| 4.9.185845 | 4 | 9 | 100 | 2 | ✓ | all but 2,3,7 | 0 | rational |
| 4.9.185844 | 4 | 9 | 101 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185843 | 4 | 9 | 101 | 1 | ✓ | all | 2 | rational |
| 4.9.185842 | 4 | 9 | 102 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185841 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185840 | 4 | 9 | 102 | 2 | ✓ | all | 3 | rational |
| 4.9.185839 | 4 | 9 | 102 | 2 | ✓ | all | 4 | rational |
| 4.9.185838 | 4 | 9 | 103 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185837 | 4 | 9 | 101 | 2 | ✓ | all | 3 | rational |
| 4.9.185836 | 4 | 9 | 102 | 2 | ✓ | all | 3 | rational |
| 4.9.185835 | 4 | 9 | 102 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.185834 | 4 | 9 | 102 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.185833 | 4 | 9 | 102 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.185832 | 4 | 9 | 103 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.185831 | 4 | 9 | 102 | 2 | ✓ | all | 5 | rational |
| 4.9.185830 | 4 | 9 | 103 | 2 | ✓ | all | 3 | rational |
| 4.9.185829 | 4 | 9 | 103 | 4 | ✓ | all | 4 | rational |
| 4.9.185828 | 4 | 9 | 102 | 2 | ✓ | all | 3 | rational |
| 4.9.185827 | 4 | 9 | 103 | 2 | ✓ | all | 2 | rational |
| 4.9.185826 | 4 | 9 | 103 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.185825 | 4 | 9 | 103 | 4 | ✓ | all | 5 | rational |
| 4.9.185824 | 4 | 9 | 104 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.185823 | 4 | 9 | 101 | 6 | ✓ | all | 1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.185822 | 4 | 9 | 102 | 6 | ✓ | all | 2 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.185821 | 4 | 9 | 102 | 1 | ✓ | all | 1 | rational |
| 4.9.185820 | 4 | 9 | 102 | 1 | ✓ | all | 3 | rational |
| 4.9.185819 | 4 | 9 | 102 | 1 | ✓ | all | 4 | rational |
| 4.9.185818 | 4 | 9 | 102 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.185817 | 4 | 9 | 103 | 1 | ✓ | all | 3 | rational |
| 4.9.185816 | 4 | 9 | 102 | 1 | ✓ | all | 0 | rational |
| 4.9.185815 | 4 | 9 | 102 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.185814 | 4 | 9 | 102 | 2 | ✓ | all | 3 | rational |