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381,879 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.7.0 | 3 | 7 | 35 | 5040 | ✓ | all | 6 | rational |
| 3.8.2 | 3 | 8 | 54 | 144 | ✓ | all | 6 | rational |
| 3.8.3 | 3 | 8 | 54 | 48 | ✓ | all | 6 | rational |
| 3.8.39 | 3 | 8 | 52 | 576 | ✓ | all | 6 | rational |
| 3.8.45 | 3 | 8 | 50 | 48 | ✓ | all | 6 | rational |
| 3.8.46 | 3 | 8 | 50 | 4 | ✓ | all | 6 | rational |
| 3.9.7 | 3 | 9 | 80 | 8 | ✓ | all | 6 | rational |
| 3.9.8 | 3 | 9 | 80 | 48 | ✓ | all | 6 | rational |
| 3.9.9 | 3 | 9 | 80 | 8 | ✓ | all | 6 | rational |
| 3.9.13 | 3 | 9 | 80 | 16 | ✓ | all | 6 | rational |
| 3.9.14 | 3 | 9 | 80 | 384 | ✓ | all | 6 | rational |
| 3.9.16 | 3 | 9 | 80 | 36 | ✓ | all | 6 | rational |
| 3.9.17 | 3 | 9 | 80 | 4 | ✓ | all | 6 | rational |
| 3.9.20 | 3 | 9 | 80 | 4 | ✓ | all | 6 | rational |
| 3.9.24 | 3 | 9 | 80 | 8 | ✓ | all | 6 | rational |
| 3.9.44 | 3 | 9 | 79 | 4 | ✓ | all | 6 | rational |
| 3.9.115 | 3 | 9 | 78 | 2 | ✓ | all | 6 | rational |
| 3.9.184 | 3 | 9 | 78 | 12 | ✓ | all | 6 | rational |
| 3.9.185 | 3 | 9 | 77 | 12 | ✓ | all | 6 | rational |
| 3.9.199 | 3 | 9 | 76 | 4 | ✓ | all | 6 | rational |
| 3.9.200 | 3 | 9 | 76 | 2 | ✓ | all | 6 | rational |
| 3.9.202 | 3 | 9 | 74 | 16 | ✓ | all | 6 | rational |
| 3.9.203 | 3 | 9 | 77 | 2 | ✓ | all | 6 | rational |
| 3.9.206 | 3 | 9 | 75 | 2 | ✓ | all | 6 | rational |
| 3.9.209 | 3 | 9 | 76 | 2 | ✓ | all | 6 | rational |
| 3.9.212 | 3 | 9 | 75 | 4 | ✓ | all | 6 | rational |
| 3.9.328 | 3 | 9 | 73 | 1 | ✓ | all | 6 | rational |
| 3.9.374 | 3 | 9 | 73 | 16 | ✗ | all | 6 | rational |
| 3.9.383 | 3 | 9 | 72 | 4 | ✗ | all | 6 | rational |
| 3.9.605 | 3 | 9 | 70 | 4 | ✓ | all | 6 | rational |
| 3.9.612 | 3 | 9 | 69 | 12 | ✓ | all | 6 | rational |
| 3.9.615 | 3 | 9 | 64 | 1152 | ✓ | all | 6 | rational |
| 3.9.713 | 3 | 9 | 61 | 8 | ✗ | all | 6 | rational |
| 3.9.828 | 3 | 9 | 48 | 48 | ✗ | all | 6 | rational |
| 3.9.868 | 3 | 9 | 43 | 48 | ✗ | all | 6 | rational |
| 3.9.878 | 3 | 9 | 38 | 96 | ✗ | all | 6 | rational |
| 3.9.987 | 3 | 9 | 45 | 24 | ✗ | all | 6 | rational |
| 3.9.1125 | 3 | 9 | 34 | 72 | ✗ | all | 6 | rational |
| 3.9.1171 | 3 | 9 | 20 | 32 | ✗ | all | 6 | rational |
| 3.9.1183 | 3 | 9 | 20 | 960 | ✗ | all | 6 | rational |
| 3.9.1188 | 3 | 9 | 20 | 96 | ✗ | all | 6 | rational |
| 3.9.1235 | 3 | 9 | 19 | 144 | ✗ | all | 6 | rational |
| 3.10.15 | 3 | 10 | 114 | 8 | ✓ | all | 6 | rational |
| 3.10.16 | 3 | 10 | 114 | 72 | ✓ | all | 6 | rational |
| 3.10.29 | 3 | 10 | 114 | 4 | ✓ | all | 6 | rational |
| 3.10.30 | 3 | 10 | 114 | 2 | ✓ | all | 6 | rational |
| 3.10.31 | 3 | 10 | 114 | 6 | ✓ | all | 6 | rational |
| 3.10.32 | 3 | 10 | 114 | 12 | ✓ | all | 6 | rational |
| 3.10.40 | 3 | 10 | 114 | 2 | ✓ | all | 6 | rational |
| 3.10.41 | 3 | 10 | 114 | 1 | ✓ | all | 6 | rational |