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32,400,859 matroids, showing 8,651–8,700
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.6744 | 3 | 10 | 105 | 2 | ✓ | all | 6 | rational |
| 3.10.6745 | 3 | 10 | 105 | 2 | ✓ | all | 6 | rational |
| 3.10.6746 | 3 | 10 | 105 | 2 | ✓ | all | 5 | rational |
| 3.10.6747 | 3 | 10 | 105 | 1 | ✓ | all | 5 | rational |
| 3.10.6748 | 3 | 10 | 104 | 1 | ✓ | all | 4 | rational |
| 3.10.6749 | 3 | 10 | 104 | 1 | ✓ | all | 6 | rational |
| 3.10.6750 | 3 | 10 | 104 | 1 | ✓ | all | 5 | rational |
| 3.10.6751 | 3 | 10 | 104 | 1 | ✓ | all | 7 | rational |
| 3.10.6752 | 3 | 10 | 104 | 2 | ✓ | all | 6 | rational |
| 3.10.6753 | 3 | 10 | 103 | 1 | ✓ | all | 6 | rational |
| 3.10.6754 | 3 | 10 | 105 | 4 | ✓ | all | 5 | rational |
| 3.10.6755 | 3 | 10 | 104 | 4 | ✓ | all | 5 | rational |
| 3.10.6756 | 3 | 10 | 104 | 2 | ✓ | all | 5 | rational |
| 3.10.6757 | 3 | 10 | 104 | 4 | ✓ | all | 4 | rational |
| 3.10.6758 | 3 | 10 | 105 | 2 | ✓ | all | 5 | rational |
| 3.10.6759 | 3 | 10 | 104 | 1 | ✓ | all | 5 | rational |
| 3.10.6760 | 3 | 10 | 104 | 2 | ✓ | all | 4 | rational |
| 3.10.6761 | 3 | 10 | 104 | 2 | ✓ | all | 3 | rational |
| 3.10.6762 | 3 | 10 | 104 | 1 | ✓ | all | 4 | rational |
| 3.10.6763 | 3 | 10 | 103 | 1 | ✓ | all | 7 | rational |
| 3.10.6764 | 3 | 10 | 103 | 2 | ✓ | all | 6 | rational |
| 3.10.6765 | 3 | 10 | 105 | 2 | ✓ | all | 6 | rational |
| 3.10.6766 | 3 | 10 | 104 | 2 | ✓ | all | 6 | rational |
| 3.10.6767 | 3 | 10 | 104 | 1 | ✓ | all | 6 | rational |
| 3.10.6768 | 3 | 10 | 104 | 1 | ✓ | all | 5 | rational |
| 3.10.6769 | 3 | 10 | 103 | 1 | ✓ | all | 5 | rational |
| 3.10.6770 | 3 | 10 | 103 | 2 | ✓ | all | 5 | rational |
| 3.10.6771 | 3 | 10 | 104 | 1 | ✓ | all | 5 | rational |
| 3.10.6772 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6773 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6774 | 3 | 10 | 104 | 1 | ✓ | all | 5 | rational |
| 3.10.6775 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6776 | 3 | 10 | 103 | 1 | ✓ | all | 4 | rational |
| 3.10.6777 | 3 | 10 | 103 | 2 | ✓ | all | 5 | rational |
| 3.10.6778 | 3 | 10 | 103 | 1 | ✓ | all | 5 | 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 |
| 3.10.6782 | 3 | 10 | 103 | 1 | ✓ | all | 3 | rational |
| 3.10.6783 | 3 | 10 | 103 | 1 | ✓ | all but 2 | 3 | rational |
| 3.10.6784 | 3 | 10 | 103 | 1 | ✓ | all but 2 | 3 | rational |
| 3.10.6785 | 3 | 10 | 103 | 1 | ✓ | all but 2 | 2 | rational |
| 3.10.6786 | 3 | 10 | 102 | 1 | ✓ | {2} | -1 | rational |
| 3.10.6787 | 3 | 10 | 102 | 4 | ✓ | all | 4 | rational over Q(a)/(a^2 - a - 1) |
| 3.10.6788 | 3 | 10 | 103 | 2 | ✓ | all | 7 | rational |
| 3.10.6789 | 3 | 10 | 102 | 2 | ✓ | all | 6 | rational |
| 3.10.6790 | 3 | 10 | 103 | 6 | ✓ | all | 6 | rational |
| 3.10.6791 | 3 | 10 | 102 | 6 | ✓ | all | 5 | rational over Q(a)/(a^2 - a + 1) |
| 3.10.6792 | 3 | 10 | 104 | 8 | ✓ | all | 5 | rational |
| 3.10.6793 | 3 | 10 | 103 | 1 | ✓ | all | 6 | rational |