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3,621,120 matroids, showing 1,451–1,500
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.6716 | 3 | 10 | 102 | 24 | ✓ | all | 4 | rational |
| 3.10.6718 | 3 | 10 | 106 | 8 | ✓ | all | 4 | rational |
| 3.10.6720 | 3 | 10 | 106 | 8 | ✓ | all | 4 | rational |
| 3.10.6721 | 3 | 10 | 106 | 2 | ✓ | all | 4 | rational |
| 3.10.6728 | 3 | 10 | 104 | 1 | ✓ | all | 4 | rational |
| 3.10.6748 | 3 | 10 | 104 | 1 | ✓ | all | 4 | rational |
| 3.10.6757 | 3 | 10 | 104 | 4 | ✓ | all | 4 | rational |
| 3.10.6760 | 3 | 10 | 104 | 2 | ✓ | all | 4 | rational |
| 3.10.6762 | 3 | 10 | 104 | 1 | ✓ | all | 4 | rational |
| 3.10.6772 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6773 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6775 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6776 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6779 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6780 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6781 | 3 | 10 | 104 | 1 | ✓ | all | 4 | rational |
| 3.10.6787 | 3 | 10 | 102 | 4 | ✓ | all | 4 | rational over Q(a)/(a^2 - a - 1) |
| 3.10.6795 | 3 | 10 | 102 | 1 | ✓ | all | 4 | rational |
| 3.10.6796 | 3 | 10 | 101 | 2 | ✓ | all | 4 | empty |
| 3.10.6801 | 3 | 10 | 104 | 2 | ✓ | all | 4 | rational |
| 3.10.6803 | 3 | 10 | 104 | 4 | ✓ | all | 4 | rational |
| 3.10.6804 | 3 | 10 | 103 | 2 | ✓ | all | 4 | rational |
| 3.10.6812 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6813 | 3 | 10 | 104 | 8 | ✓ | all | 4 | rational |
| 3.10.6814 | 3 | 10 | 103 | 2 | ✓ | all | 4 | rational |
| 3.10.6816 | 3 | 10 | 102 | 1 | ✓ | all | 4 | rational |
| 3.10.6817 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6818 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6819 | 3 | 10 | 101 | 1 | ✓ | all | 4 | rational |
| 3.10.6820 | 3 | 10 | 104 | 48 | ✓ | all | 4 | empty |
| 3.10.6823 | 3 | 10 | 106 | 288 | ✓ | all | 4 | rational |
| 3.10.6827 | 3 | 10 | 105 | 12 | ✓ | all | 4 | rational |
| 3.10.6828 | 3 | 10 | 104 | 6 | ✓ | all | 4 | rational |
| 3.10.6837 | 3 | 10 | 103 | 4 | ✓ | all | 4 | rational |
| 3.10.6838 | 3 | 10 | 103 | 12 | ✓ | all | 4 | rational |
| 3.10.6839 | 3 | 10 | 104 | 8 | ✓ | all | 4 | rational |
| 3.10.6840 | 3 | 10 | 103 | 4 | ✓ | all | 4 | rational |
| 3.10.6842 | 3 | 10 | 103 | 8 | ✓ | all | 4 | rational |
| 3.10.6843 | 3 | 10 | 102 | 48 | ✓ | all | 4 | rational |
| 3.10.6844 | 3 | 10 | 104 | 4 | ✓ | all | 4 | rational |
| 3.10.6845 | 3 | 10 | 103 | 4 | ✓ | all | 4 | rational |
| 3.10.6846 | 3 | 10 | 103 | 2 | ✓ | all | 4 | rational |
| 3.10.6850 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6853 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6854 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6862 | 3 | 10 | 101 | 2 | ✓ | all | 4 | rational |
| 3.10.6863 | 3 | 10 | 102 | 4 | ✓ | all | 4 | rational |
| 3.10.6865 | 3 | 10 | 101 | 4 | ✓ | all | 4 | rational |
| 3.10.6867 | 3 | 10 | 102 | 2 | ✓ | all | 4 | rational |
| 3.10.6870 | 3 | 10 | 102 | 1 | ✓ | all | 4 | rational |