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6,657,451 matroids, showing 801–850
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.1705 | 3 | 10 | 107 | 16 | ✗ | all | 3 | rational |
| 3.10.1706 | 3 | 10 | 107 | 16 | ✗ | all | 3 | rational |
| 3.10.1709 | 3 | 10 | 105 | 8 | ✗ | all | 3 | rational |
| 3.10.1714 | 3 | 10 | 116 | 17280 | ✓ | all but 2 | 3 | rational |
| 3.10.1715 | 3 | 10 | 115 | 864 | ✓ | all but 2 | 3 | rational |
| 3.10.1717 | 3 | 10 | 114 | 192 | ✓ | all but 2 | 3 | rational |
| 3.10.1718 | 3 | 10 | 113 | 144 | ✓ | all but 2 | 3 | rational |
| 3.10.1719 | 3 | 10 | 112 | 576 | ✓ | all but 2 | 3 | rational |
| 3.10.1720 | 3 | 10 | 112 | 2304 | ✓ | all but 2 | 3 | rational |
| 3.10.1721 | 3 | 10 | 115 | 288 | ✓ | all but 2 | 3 | rational |
| 3.10.1725 | 3 | 10 | 113 | 12 | ✓ | all but 2 | 3 | rational |
| 3.10.1729 | 3 | 10 | 112 | 12 | ✓ | all but 2 | 3 | rational |
| 3.10.1735 | 3 | 10 | 113 | 48 | ✓ | all but 2 | 3 | rational |
| 3.10.1736 | 3 | 10 | 113 | 4 | ✓ | all but 2 | 3 | rational |
| 3.10.1738 | 3 | 10 | 112 | 6 | ✓ | all but 2 | 3 | rational |
| 3.10.1742 | 3 | 10 | 111 | 4 | ✓ | all but 2 | 3 | rational |
| 3.10.1744 | 3 | 10 | 112 | 8 | ✓ | all but 2 | 3 | rational |
| 3.10.1790 | 3 | 10 | 112 | 2 | ✓ | all | 3 | rational |
| 3.10.1797 | 3 | 10 | 113 | 8 | ✓ | all | 3 | rational |
| 3.10.1799 | 3 | 10 | 112 | 4 | ✓ | all but 2 | 3 | rational |
| 3.10.1837 | 3 | 10 | 112 | 2 | ✓ | all | 3 | rational |
| 3.10.1859 | 3 | 10 | 110 | 1 | ✓ | all but 2 | 3 | rational |
| 3.10.1962 | 3 | 10 | 110 | 4 | ✓ | all | 3 | rational |
| 3.10.1963 | 3 | 10 | 110 | 4 | ✓ | all | 3 | rational |
| 3.10.1964 | 3 | 10 | 109 | 8 | ✓ | all | 3 | rational |
| 3.10.1978 | 3 | 10 | 111 | 2 | ✓ | all | 3 | rational |
| 3.10.1981 | 3 | 10 | 110 | 1 | ✓ | all | 3 | rational |
| 3.10.1983 | 3 | 10 | 110 | 1 | ✓ | all | 3 | rational |
| 3.10.2001 | 3 | 10 | 110 | 1 | ✓ | all | 3 | rational |
| 3.10.2004 | 3 | 10 | 109 | 1 | ✓ | all | 3 | rational |
| 3.10.2007 | 3 | 10 | 110 | 1 | ✓ | all | 3 | rational |
| 3.10.2009 | 3 | 10 | 110 | 1 | ✓ | all | 3 | rational |
| 3.10.2010 | 3 | 10 | 110 | 1 | ✓ | all | 3 | rational |
| 3.10.2013 | 3 | 10 | 109 | 1 | ✓ | all | 3 | rational |
| 3.10.2016 | 3 | 10 | 108 | 2 | ✓ | all | 3 | rational |
| 3.10.2024 | 3 | 10 | 109 | 2 | ✓ | all | 3 | rational |
| 3.10.2027 | 3 | 10 | 109 | 2 | ✓ | all | 3 | rational |
| 3.10.2061 | 3 | 10 | 109 | 2 | ✓ | all | 3 | rational |
| 3.10.2062 | 3 | 10 | 111 | 4 | ✓ | all but 2 | 3 | rational |
| 3.10.2063 | 3 | 10 | 110 | 2 | ✓ | all | 3 | rational |
| 3.10.2093 | 3 | 10 | 110 | 2 | ✓ | all | 3 | rational |
| 3.10.2094 | 3 | 10 | 110 | 1 | ✓ | all | 3 | rational |
| 3.10.2097 | 3 | 10 | 109 | 4 | ✓ | all | 3 | rational |
| 3.10.2099 | 3 | 10 | 108 | 4 | ✓ | all | 3 | rational |
| 3.10.2100 | 3 | 10 | 110 | 4 | ✓ | all | 3 | rational |
| 3.10.2102 | 3 | 10 | 109 | 4 | ✓ | all | 3 | rational |
| 3.10.2103 | 3 | 10 | 109 | 2 | ✓ | all | 3 | rational |
| 3.10.2104 | 3 | 10 | 112 | 32 | ✓ | all | 3 | rational |
| 3.10.2106 | 3 | 10 | 111 | 16 | ✓ | all | 3 | rational |
| 3.10.2108 | 3 | 10 | 111 | 8 | ✓ | all | 3 | rational |