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3,131 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.1 | 3 | 9 | 83 | 4320 | ✓ | all | 9 | rational |
| 3.10.3 | 3 | 10 | 117 | 1296 | ✓ | all | 9 | rational |
| 3.10.5 | 3 | 10 | 117 | 96 | ✓ | all | 9 | rational |
| 3.10.7 | 3 | 10 | 117 | 48 | ✓ | all | 9 | rational |
| 3.10.17 | 3 | 10 | 117 | 288 | ✓ | all | 9 | rational |
| 3.10.22 | 3 | 10 | 117 | 144 | ✓ | all | 9 | rational |
| 3.10.1770 | 3 | 10 | 110 | 48 | ✓ | all | 9 | rational |
| 3.10.1803 | 3 | 10 | 112 | 4 | ✓ | all | 9 | rational |
| 3.10.1809 | 3 | 10 | 111 | 2 | ✓ | all | 9 | rational |
| 3.10.6730 | 3 | 10 | 105 | 2 | ✓ | all | 9 | rational |
| 3.10.8508 | 3 | 10 | 52 | 16 | ✗ | all | 9 | rational |
| 3.10.9960 | 3 | 10 | 30 | 432 | ✗ | all | 9 | rational |
| 3.11.11 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |
| 3.11.12 | 3 | 11 | 160 | 10 | ✓ | all | 9 | rational |
| 3.11.14 | 3 | 11 | 160 | 16 | ✓ | all | 9 | rational |
| 3.11.16 | 3 | 11 | 160 | 48 | ✓ | all | 9 | rational |
| 3.11.17 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.20 | 3 | 11 | 160 | 24 | ✓ | all | 9 | rational |
| 3.11.28 | 3 | 11 | 160 | 16 | ✓ | all | 9 | rational |
| 3.11.29 | 3 | 11 | 160 | 16 | ✓ | all | 9 | rational |
| 3.11.30 | 3 | 11 | 160 | 64 | ✓ | all | 9 | rational |
| 3.11.31 | 3 | 11 | 160 | 128 | ✓ | all | 9 | rational |
| 3.11.32 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.39 | 3 | 11 | 160 | 96 | ✓ | all | 9 | rational |
| 3.11.40 | 3 | 11 | 160 | 3840 | ✓ | all | 9 | rational |
| 3.11.43 | 3 | 11 | 160 | 48 | ✓ | all | 9 | rational |
| 3.11.45 | 3 | 11 | 160 | 24 | ✓ | all | 9 | rational |
| 3.11.46 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.48 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |
| 3.11.50 | 3 | 11 | 160 | 16 | ✓ | all | 9 | rational |
| 3.11.51 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.65 | 3 | 11 | 160 | 24 | ✓ | all | 9 | rational |
| 3.11.66 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.68 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |
| 3.11.70 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.77 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |
| 3.11.79 | 3 | 11 | 160 | 16 | ✓ | all | 9 | rational |
| 3.11.81 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.104 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.147 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |
| 3.11.192 | 3 | 11 | 160 | 24 | ✓ | all | 9 | rational |
| 3.11.193 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |
| 3.11.200 | 3 | 11 | 160 | 4 | ✓ | all | 9 | rational |
| 3.11.259 | 3 | 11 | 160 | 16 | ✓ | all | 9 | rational |
| 3.11.308 | 3 | 11 | 160 | 24 | ✓ | all | 9 | rational |
| 3.11.455 | 3 | 11 | 160 | 12 | ✓ | all | 9 | rational |
| 3.11.1077 | 3 | 11 | 160 | 36 | ✓ | all | 9 | rational |
| 3.11.1078 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |
| 3.11.1090 | 3 | 11 | 160 | 24 | ✓ | all | 9 | rational |
| 3.11.1105 | 3 | 11 | 160 | 8 | ✓ | all | 9 | rational |