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5,700,971 matroids, showing 401–450
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.1651 | 3 | 10 | 110 | 1 | ✓ | all but 2 | 1 | rational |
| 3.10.1687 | 3 | 10 | 108 | 16 | ✗ | all | 1 | rational |
| 3.10.1690 | 3 | 10 | 108 | 8 | ✗ | all | 1 | rational |
| 3.10.1701 | 3 | 10 | 106 | 4 | ✗ | all | 1 | rational |
| 3.10.1712 | 3 | 10 | 105 | 336 | ✗ | all | 1 | empty |
| 3.10.1746 | 3 | 10 | 111 | 4 | ✓ | all but 2 | 1 | rational |
| 3.10.1748 | 3 | 10 | 110 | 16 | ✓ | all but 2 | 1 | rational |
| 3.10.1751 | 3 | 10 | 113 | 24 | ✓ | all but 2,3 | 1 | rational |
| 3.10.1752 | 3 | 10 | 113 | 32 | ✓ | all but 2 | 1 | rational |
| 3.10.1754 | 3 | 10 | 113 | 12 | ✓ | all but 2 | 1 | rational |
| 3.10.1755 | 3 | 10 | 112 | 6 | ✓ | all but 2 | 1 | rational |
| 3.10.1756 | 3 | 10 | 112 | 4 | ✓ | all but 2 | 1 | rational |
| 3.10.1759 | 3 | 10 | 111 | 8 | ✓ | all but 2 | 1 | rational |
| 3.10.1760 | 3 | 10 | 111 | 72 | ✓ | all but 2 | 1 | rational |
| 3.10.2526 | 3 | 10 | 109 | 2 | ✓ | all but 2 | 1 | rational |
| 3.10.2636 | 3 | 10 | 107 | 2 | ✓ | all but 2 | 1 | rational |
| 3.10.2679 | 3 | 10 | 107 | 1 | ✓ | all | 1 | rational |
| 3.10.2681 | 3 | 10 | 107 | 1 | ✓ | all | 1 | rational |
| 3.10.2686 | 3 | 10 | 107 | 2 | ✓ | all but 2 | 1 | rational |
| 3.10.2716 | 3 | 10 | 108 | 2 | ✓ | all | 1 | rational over Q(a)/(a^2 - a + 1) |
| 3.10.2737 | 3 | 10 | 108 | 1 | ✓ | all | 1 | rational |
| 3.10.2739 | 3 | 10 | 106 | 8 | ✓ | all | 1 | rational |
| 3.10.2744 | 3 | 10 | 107 | 2 | ✓ | all | 1 | rational |
| 3.10.2748 | 3 | 10 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 3.10.2750 | 3 | 10 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 3.10.2757 | 3 | 10 | 107 | 1 | ✓ | all | 1 | rational |
| 3.10.2758 | 3 | 10 | 107 | 1 | ✓ | all | 1 | rational |
| 3.10.2760 | 3 | 10 | 108 | 4 | ✓ | all | 1 | rational |
| 3.10.2764 | 3 | 10 | 108 | 1 | ✓ | all | 1 | rational |
| 3.10.2771 | 3 | 10 | 106 | 4 | ✓ | all | 1 | rational |
| 3.10.2773 | 3 | 10 | 105 | 4 | ✓ | all | 1 | point over Q(a)/(a^2 + 1) |
| 3.10.2779 | 3 | 10 | 108 | 6 | ✓ | all | 1 | rational |
| 3.10.2782 | 3 | 10 | 109 | 1 | ✓ | all | 1 | rational |
| 3.10.2789 | 3 | 10 | 109 | 1 | ✓ | all | 1 | rational |
| 3.10.2809 | 3 | 10 | 108 | 48 | ✓ | all but 2 | 1 | rational |
| 3.10.2811 | 3 | 10 | 106 | 4 | ✓ | all but 2 | 1 | rational |
| 3.10.2816 | 3 | 10 | 106 | 8 | ✓ | all but 2 | 1 | rational |
| 3.10.2819 | 3 | 10 | 113 | 36 | ✓ | all but 2 | 1 | rational |
| 3.10.2823 | 3 | 10 | 110 | 6 | ✓ | all | 1 | rational |
| 3.10.2824 | 3 | 10 | 109 | 12 | ✓ | all | 1 | rational |
| 3.10.2828 | 3 | 10 | 112 | 4 | ✓ | all but 2 | 1 | rational |
| 3.10.2832 | 3 | 10 | 110 | 2 | ✓ | all | 1 | rational |
| 3.10.2834 | 3 | 10 | 110 | 2 | ✓ | all but 2 | 1 | rational |
| 3.10.2837 | 3 | 10 | 110 | 1 | ✓ | all but 2 | 1 | rational |
| 3.10.2868 | 3 | 10 | 109 | 1 | ✓ | all | 1 | rational |
| 3.10.2879 | 3 | 10 | 110 | 1 | ✓ | all | 1 | rational |
| 3.10.2881 | 3 | 10 | 109 | 1 | ✓ | all | 1 | rational |
| 3.10.2884 | 3 | 10 | 109 | 1 | ✓ | all | 1 | rational |
| 3.10.3008 | 3 | 10 | 109 | 2 | ✓ | all but 2 | 1 | rational |
| 3.10.3034 | 3 | 10 | 109 | 1 | ✓ | all but 2 | 1 | rational |