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32,400,859 matroids, showing 18,401–18,450
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.171813 | 4 | 9 | 110 | 8 | ✓ | all | 1 | rational |
| 4.9.171812 | 4 | 9 | 111 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.171811 | 4 | 9 | 110 | 8 | ✓ | all | 3 | rational |
| 4.9.171810 | 4 | 9 | 111 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.171809 | 4 | 9 | 112 | 8 | ✓ | all | 4 | rational |
| 4.9.171808 | 4 | 9 | 104 | 8 | ✓ | all | 1 | rational |
| 4.9.171807 | 4 | 9 | 103 | 2 | ✓ | all | 2 | rational |
| 4.9.171806 | 4 | 9 | 107 | 4 | ✓ | all | 2 | rational |
| 4.9.171805 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.171804 | 4 | 9 | 103 | 1 | ✓ | all | 0 | rational |
| 4.9.171803 | 4 | 9 | 106 | 1 | ✓ | all but 3 | 1 | rational |
| 4.9.171802 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.171801 | 4 | 9 | 104 | 1 | ✓ | all | 3 | rational |
| 4.9.171800 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.171799 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.171798 | 4 | 9 | 108 | 2 | ✓ | all | 1 | empty |
| 4.9.171797 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.171796 | 4 | 9 | 109 | 2 | ✓ | all | 3 | rational |
| 4.9.171795 | 4 | 9 | 108 | 8 | ✓ | all but 2 | 0 | rational |
| 4.9.171794 | 4 | 9 | 109 | 4 | ✓ | all | 1 | rational |
| 4.9.171793 | 4 | 9 | 108 | 8 | ✓ | ∅ | -1 | rational |
| 4.9.171792 | 4 | 9 | 109 | 4 | ✓ | all | 2 | empty |
| 4.9.171791 | 4 | 9 | 110 | 8 | ✓ | all | 4 | rational |
| 4.9.171790 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.171789 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.171788 | 4 | 9 | 107 | 2 | ✓ | all but 2 | 0 | rational |
| 4.9.171787 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 0 | rational |
| 4.9.171786 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.171785 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171784 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171783 | 4 | 9 | 108 | 4 | ✓ | all | 1 | rational |
| 4.9.171782 | 4 | 9 | 109 | 2 | ✓ | all but 2 | 0 | rational |
| 4.9.171781 | 4 | 9 | 108 | 4 | ✓ | all | 2 | empty |
| 4.9.171780 | 4 | 9 | 109 | 2 | ✓ | all | 5 | rational |
| 4.9.171779 | 4 | 9 | 110 | 4 | ✓ | all | 3 | rational |
| 4.9.171778 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171777 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.171776 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.171775 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.171774 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.171773 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171772 | 4 | 9 | 109 | 1 | ✓ | all but 2,3,5 | 0 | rational |
| 4.9.171771 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171770 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171769 | 4 | 9 | 108 | 1 | ✓ | {2} | -1 | rational |
| 4.9.171768 | 4 | 9 | 109 | 1 | ✓ | all | 4 | rational |
| 4.9.171767 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.171766 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171765 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.171764 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |