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1,627 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.0 | 3 | 11 | 165 | 39916800 | ✓ | all | 14 | rational |
| 3.11.1 | 3 | 11 | 164 | 241920 | ✓ | all | 13 | rational |
| 3.11.2 | 3 | 11 | 163 | 8640 | ✓ | all | 12 | rational |
| 3.11.3 | 3 | 11 | 162 | 2592 | ✓ | all | 11 | rational |
| 3.11.4 | 3 | 11 | 163 | 5760 | ✓ | all | 12 | rational |
| 3.11.5 | 3 | 11 | 162 | 288 | ✓ | all | 11 | rational |
| 3.11.8 | 3 | 11 | 162 | 192 | ✓ | all | 11 | rational |
| 3.11.41 | 3 | 11 | 162 | 720 | ✓ | all | 11 | rational |
| 3.11.56461 | 3 | 11 | 156 | 725760 | ✗ | all | 5 | rational |
| 3.11.56462 | 3 | 11 | 155 | 8640 | ✗ | all | 3 | rational |
| 3.11.56624 | 3 | 11 | 120 | 3628800 | ✗ | all | 4 | rational |
| 3.11.56625 | 3 | 11 | 161 | 120960 | ✓ | all | 12 | rational |
| 3.11.56626 | 3 | 11 | 160 | 3456 | ✓ | all | 11 | rational |
| 3.11.56627 | 3 | 11 | 159 | 1728 | ✓ | all | 10 | rational |
| 3.11.56628 | 3 | 11 | 159 | 384 | ✓ | all | 9 | rational |
| 3.11.56639 | 3 | 11 | 157 | 6912 | ✓ | all | 8 | rational |
| 3.11.56640 | 3 | 11 | 156 | 6912 | ✓ | all | 9 | rational |
| 3.11.56641 | 3 | 11 | 160 | 1440 | ✓ | all | 8 | rational |
| 3.11.56642 | 3 | 11 | 159 | 144 | ✓ | all | 8 | rational |
| 3.11.56644 | 3 | 11 | 156 | 288 | ✓ | all | 6 | rational |
| 3.11.56645 | 3 | 11 | 159 | 72 | ✓ | all | 8 | rational |
| 3.11.56672 | 3 | 11 | 156 | 144 | ✓ | all | 7 | rational |
| 3.11.56674 | 3 | 11 | 159 | 96 | ✓ | all | 6 | rational |
| 3.11.56865 | 3 | 11 | 159 | 96 | ✓ | all | 7 | rational |
| 3.11.153463 | 3 | 11 | 157 | 1728 | ✓ | ∅ | -1 | rational |
| 3.11.153464 | 3 | 11 | 156 | 432 | ✓ | {2} | -1 | rational |
| 3.11.153465 | 3 | 11 | 153 | 1728 | ✓ | {2} | -1 | rational |
| 3.11.153466 | 3 | 11 | 156 | 48 | ✓ | {2} | -1 | rational |
| 3.11.153525 | 3 | 11 | 153 | 144 | ✓ | {2} | -1 | rational |
| 3.11.153615 | 3 | 11 | 156 | 48 | ✓ | {2} | -1 | rational |
| 3.11.168141 | 3 | 11 | 153 | 96 | ✓ | all | 2 | rational |
| 3.11.221225 | 3 | 11 | 152 | 5760 | ✗ | all | 3 | rational |
| 3.11.221406 | 3 | 11 | 154 | 20160 | ✗ | all | 2 | rational |
| 3.11.221407 | 3 | 11 | 153 | 576 | ✗ | all but 2,5 | 0 | rational |
| 3.11.221420 | 3 | 11 | 150 | 576 | ✗ | all | 3 | rational |
| 3.11.221426 | 3 | 11 | 153 | 480 | ✗ | all | 6 | rational |
| 3.11.222942 | 3 | 11 | 150 | 288 | ✗ | all | 2 | rational |
| 3.11.224013 | 3 | 11 | 152 | 1920 | ✗ | all | 3 | rational |
| 3.11.224014 | 3 | 11 | 151 | 192 | ✗ | all | 6 | rational |
| 3.11.224016 | 3 | 11 | 148 | 384 | ✗ | all | 5 | rational |
| 3.11.224017 | 3 | 11 | 151 | 48 | ✗ | all | 3 | rational |
| 3.11.224284 | 3 | 11 | 148 | 48 | ✗ | all but 3 | 2 | rational |
| 3.11.224438 | 3 | 11 | 151 | 96 | ✗ | all | 4 | rational |
| 3.11.234783 | 3 | 11 | 148 | 48 | ✗ | all | 3 | rational |
| 3.11.248105 | 3 | 11 | 147 | 40320 | ✗ | all | 2 | rational |
| 3.11.248125 | 3 | 11 | 145 | 960 | ✗ | ∅ | -1 | rational |
| 3.11.248168 | 3 | 11 | 143 | 192 | ✗ | ∅ | -1 | rational |
| 3.11.248384 | 3 | 11 | 143 | 192 | ✗ | all | 1 | rational |
| 3.11.249641 | 3 | 11 | 138 | 5760 | ✗ | all | 3 | rational |
| 3.11.249719 | 3 | 11 | 119 | 30240 | ✗ | all | 1 | rational |