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873 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.0 | 3 | 10 | 120 | 3628800 | ✓ | all | 12 | rational |
| 3.10.1 | 3 | 10 | 119 | 30240 | ✓ | all | 11 | rational |
| 3.10.2 | 3 | 10 | 118 | 1728 | ✓ | all | 10 | rational |
| 3.10.3 | 3 | 10 | 117 | 1296 | ✓ | all | 9 | rational |
| 3.10.4 | 3 | 10 | 118 | 960 | ✓ | all | 10 | rational |
| 3.10.5 | 3 | 10 | 117 | 96 | ✓ | all | 9 | rational |
| 3.10.7 | 3 | 10 | 117 | 48 | ✓ | all | 9 | rational |
| 3.10.22 | 3 | 10 | 117 | 144 | ✓ | all | 9 | rational |
| 3.10.1681 | 3 | 10 | 112 | 80640 | ✗ | all | 2 | rational |
| 3.10.1682 | 3 | 10 | 111 | 1440 | ✗ | all | 2 | rational |
| 3.10.1713 | 3 | 10 | 84 | 362880 | ✗ | all but 2 | 2 | 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 |
| 3.10.1716 | 3 | 10 | 114 | 1728 | ✓ | all but 2 | 4 | rational |
| 3.10.1717 | 3 | 10 | 114 | 192 | ✓ | 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 |
| 3.10.1722 | 3 | 10 | 114 | 72 | ✓ | all but 2 | 2 | rational |
| 3.10.1723 | 3 | 10 | 111 | 288 | ✓ | all but 2 | 2 | rational |
| 3.10.1724 | 3 | 10 | 114 | 24 | ✓ | all but 2 | 2 | rational |
| 3.10.1732 | 3 | 10 | 111 | 72 | ✓ | all but 2 | 2 | rational |
| 3.10.1733 | 3 | 10 | 114 | 32 | ✓ | all but 2 | 2 | rational |
| 3.10.1773 | 3 | 10 | 114 | 24 | ✓ | all | 7 | rational |
| 3.10.3884 | 3 | 10 | 112 | 432 | ✓ | all but 2 | 1 | rational |
| 3.10.3885 | 3 | 10 | 111 | 432 | ✓ | all but 2 | 1 | rational |
| 3.10.3886 | 3 | 10 | 111 | 24 | ✓ | all but 2 | 1 | rational |
| 3.10.3891 | 3 | 10 | 108 | 144 | ✓ | all but 2 | 1 | rational |
| 3.10.3897 | 3 | 10 | 111 | 16 | ✓ | all but 2 | 1 | rational |
| 3.10.4109 | 3 | 10 | 108 | 48 | ✓ | all | 3 | rational |
| 3.10.4952 | 3 | 10 | 108 | 1152 | ✗ | all | 4 | rational |
| 3.10.4979 | 3 | 10 | 110 | 2880 | ✗ | all | 5 | rational |
| 3.10.4980 | 3 | 10 | 109 | 144 | ✗ | all | 4 | rational |
| 3.10.4985 | 3 | 10 | 106 | 192 | ✗ | all | 1 | rational |
| 3.10.4987 | 3 | 10 | 109 | 96 | ✗ | all | 3 | rational |
| 3.10.5144 | 3 | 10 | 106 | 72 | ✗ | all but 2 | 2 | rational |
| 3.10.5222 | 3 | 10 | 108 | 384 | ✗ | all but 2 | 1 | rational |
| 3.10.5223 | 3 | 10 | 107 | 96 | ✗ | all | 1 | rational |
| 3.10.5224 | 3 | 10 | 104 | 384 | ✗ | all | 3 | rational |
| 3.10.5225 | 3 | 10 | 107 | 16 | ✗ | all | 2 | rational |
| 3.10.5258 | 3 | 10 | 104 | 24 | ✗ | all | 2 | rational |
| 3.10.5267 | 3 | 10 | 107 | 24 | ✗ | all | 2 | rational |
| 3.10.5748 | 3 | 10 | 104 | 16 | ✗ | all | 2 | rational |
| 3.10.6248 | 3 | 10 | 104 | 5760 | ✗ | all | 2 | rational |
| 3.10.6256 | 3 | 10 | 102 | 192 | ✗ | all | 3 | rational |
| 3.10.6269 | 3 | 10 | 100 | 64 | ✗ | all | 4 | rational |
| 3.10.6306 | 3 | 10 | 100 | 48 | ✗ | all | 4 | rational |
| 3.10.6413 | 3 | 10 | 96 | 1152 | ✗ | all | 1 | rational |
| 3.10.6435 | 3 | 10 | 83 | 4320 | ✗ | all but 2 | 1 | rational |
| 3.10.6436 | 3 | 10 | 82 | 432 | ✗ | all | 0 | rational |
| 3.10.6437 | 3 | 10 | 81 | 1296 | ✗ | all | 5 | rational |