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676 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.0 | 3 | 9 | 84 | 362880 | ✓ | all | 10 | rational |
| 3.10.2 | 3 | 10 | 118 | 1728 | ✓ | all | 10 | rational |
| 3.10.4 | 3 | 10 | 118 | 960 | ✓ | all | 10 | rational |
| 3.10.1769 | 3 | 10 | 110 | 36 | ✓ | all | 10 | rational |
| 3.10.1801 | 3 | 10 | 112 | 4 | ✓ | all | 10 | rational |
| 3.10.1802 | 3 | 10 | 112 | 4 | ✓ | all | 10 | rational |
| 3.11.6 | 3 | 11 | 161 | 576 | ✓ | all | 10 | rational |
| 3.11.7 | 3 | 11 | 161 | 128 | ✓ | all | 10 | rational |
| 3.11.9 | 3 | 11 | 161 | 48 | ✓ | all | 10 | rational |
| 3.11.10 | 3 | 11 | 161 | 16 | ✓ | all | 10 | rational |
| 3.11.13 | 3 | 11 | 161 | 96 | ✓ | all | 10 | rational |
| 3.11.15 | 3 | 11 | 161 | 48 | ✓ | all | 10 | rational |
| 3.11.26 | 3 | 11 | 161 | 288 | ✓ | all | 10 | rational |
| 3.11.27 | 3 | 11 | 161 | 32 | ✓ | all | 10 | rational |
| 3.11.38 | 3 | 11 | 161 | 768 | ✓ | all | 10 | rational |
| 3.11.42 | 3 | 11 | 161 | 72 | ✓ | all | 10 | rational |
| 3.11.44 | 3 | 11 | 161 | 24 | ✓ | all | 10 | rational |
| 3.11.64 | 3 | 11 | 161 | 24 | ✓ | all | 10 | rational |
| 3.11.191 | 3 | 11 | 161 | 96 | ✓ | all | 10 | rational |
| 3.11.1076 | 3 | 11 | 161 | 144 | ✓ | all | 10 | rational |
| 3.11.29580 | 3 | 11 | 161 | 2880 | ✓ | all | 10 | rational |
| 3.11.56627 | 3 | 11 | 159 | 1728 | ✓ | all | 10 | rational |
| 3.11.56629 | 3 | 11 | 158 | 192 | ✓ | all | 10 | rational |
| 3.11.56791 | 3 | 11 | 156 | 12 | ✓ | all | 10 | rational |
| 3.11.56792 | 3 | 11 | 156 | 8 | ✓ | all | 10 | rational |
| 3.11.56803 | 3 | 11 | 156 | 2 | ✓ | all | 10 | rational |
| 3.11.56806 | 3 | 11 | 156 | 6 | ✓ | all | 10 | rational |
| 3.11.56809 | 3 | 11 | 155 | 12 | ✓ | all | 10 | rational |
| 3.11.56838 | 3 | 11 | 155 | 2 | ✓ | all | 10 | rational |
| 3.11.56912 | 3 | 11 | 156 | 2 | ✓ | all | 10 | rational |
| 3.11.57029 | 3 | 11 | 155 | 4 | ✓ | all | 10 | rational |
| 3.11.153627 | 3 | 11 | 155 | 8 | ✓ | all | 10 | rational |
| 3.11.227520 | 3 | 11 | 145 | 2 | ✗ | all | 10 | rational |
| 3.11.227529 | 3 | 11 | 145 | 4 | ✗ | all | 10 | rational |
| 3.11.230967 | 3 | 11 | 144 | 2 | ✗ | all | 10 | rational |
| 3.11.251655 | 3 | 11 | 149 | 2 | ✓ | all | 10 | rational |
| 3.11.251837 | 3 | 11 | 148 | 2 | ✓ | all | 10 | rational |
| 3.11.251856 | 3 | 11 | 148 | 1 | ✓ | all | 10 | rational |
| 3.11.254443 | 3 | 11 | 146 | 1 | ✓ | all | 10 | rational |
| 3.11.265234 | 3 | 11 | 141 | 2 | ✗ | all | 10 | rational |
| 3.11.265682 | 3 | 11 | 141 | 8 | ✗ | all | 10 | rational |
| 3.11.266829 | 3 | 11 | 140 | 2 | ✗ | all | 10 | rational |
| 3.11.267135 | 3 | 11 | 141 | 2 | ✗ | all | 10 | rational |
| 3.11.267161 | 3 | 11 | 139 | 2 | ✗ | all | 10 | rational |
| 3.11.267258 | 3 | 11 | 140 | 2 | ✗ | all | 10 | rational |
| 3.11.279585 | 3 | 11 | 135 | 16 | ✗ | all | 10 | rational |
| 3.11.283293 | 3 | 11 | 110 | 1 | ✗ | all | 10 | rational |
| 3.12.236 | 3 | 12 | 213 | 1 | ✓ | all | 10 | ? |
| 3.12.268 | 3 | 12 | 211 | 4 | ✓ | all | 10 | ? |
| 3.12.307 | 3 | 12 | 213 | 1 | ✓ | all | 10 | ? |