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1,275 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 |
| 3.9.1 | 3 | 9 | 83 | 4320 | ✓ | all | 9 | rational |
| 3.9.2 | 3 | 9 | 82 | 432 | ✓ | all | 8 | rational |
| 3.9.3 | 3 | 9 | 81 | 1296 | ✓ | all | 7 | rational |
| 3.9.4 | 3 | 9 | 82 | 192 | ✓ | all | 8 | rational |
| 3.9.5 | 3 | 9 | 81 | 48 | ✓ | all | 7 | rational |
| 3.9.6 | 3 | 9 | 81 | 16 | ✓ | all | 7 | 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 |
| 3.9.10 | 3 | 9 | 79 | 12 | ✓ | all | 5 | rational |
| 3.9.11 | 3 | 9 | 78 | 72 | ✓ | all | 4 | rational |
| 3.9.12 | 3 | 9 | 81 | 96 | ✓ | all | 7 | rational |
| 3.9.13 | 3 | 9 | 80 | 16 | ✓ | all | 6 | rational |
| 3.9.14 | 3 | 9 | 80 | 384 | ✓ | all | 6 | rational |
| 3.9.15 | 3 | 9 | 81 | 36 | ✓ | all | 7 | rational |
| 3.9.16 | 3 | 9 | 80 | 36 | ✓ | all | 6 | rational |
| 3.9.17 | 3 | 9 | 80 | 4 | ✓ | all | 6 | rational |
| 3.9.18 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.19 | 3 | 9 | 78 | 12 | ✓ | all | 4 | rational |
| 3.9.20 | 3 | 9 | 80 | 4 | ✓ | all | 6 | rational |
| 3.9.21 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.22 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.23 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.24 | 3 | 9 | 80 | 8 | ✓ | all | 6 | rational |
| 3.9.25 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.26 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.27 | 3 | 9 | 79 | 8 | ✓ | all | 5 | rational |
| 3.9.28 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.29 | 3 | 9 | 78 | 1 | ✓ | all | 4 | rational |
| 3.9.30 | 3 | 9 | 78 | 4 | ✓ | all | 4 | rational |
| 3.9.31 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.32 | 3 | 9 | 78 | 2 | ✓ | all | 4 | rational |
| 3.9.33 | 3 | 9 | 78 | 1 | ✓ | all | 4 | rational |
| 3.9.34 | 3 | 9 | 78 | 2 | ✓ | all | 4 | rational |
| 3.9.35 | 3 | 9 | 78 | 2 | ✓ | all | 4 | rational |
| 3.9.36 | 3 | 9 | 77 | 2 | ✓ | all | 3 | rational |
| 3.9.37 | 3 | 9 | 77 | 12 | ✓ | all | 3 | rational |
| 3.9.38 | 3 | 9 | 78 | 6 | ✓ | all | 4 | rational |
| 3.9.39 | 3 | 9 | 78 | 12 | ✓ | all | 4 | rational |
| 3.9.40 | 3 | 9 | 77 | 4 | ✓ | all | 3 | rational |
| 3.9.41 | 3 | 9 | 76 | 12 | ✓ | all | 4 | empty |
| 3.9.42 | 3 | 9 | 75 | 108 | ✓ | ∅ | -1 | rational |
| 3.9.43 | 3 | 9 | 80 | 12 | ✓ | all | 2 | rational |
| 3.9.44 | 3 | 9 | 79 | 4 | ✓ | all | 6 | rational |
| 3.9.45 | 3 | 9 | 79 | 12 | ✓ | all | 5 | rational |
| 3.9.46 | 3 | 9 | 79 | 4 | ✓ | all | 5 | rational |
| 3.9.47 | 3 | 9 | 79 | 2 | ✓ | all | 5 | rational |
| 3.9.48 | 3 | 9 | 78 | 2 | ✓ | all | 5 | rational |
| 3.9.49 | 3 | 9 | 78 | 4 | ✓ | all | 4 | rational |