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190,214 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.0 | 4 | 9 | 126 | 362880 | ✓ | all | 12 | rational |
| 4.9.1 | 4 | 9 | 125 | 2880 | ✓ | all | 2 | rational |
| 4.9.2 | 4 | 9 | 124 | 1152 | ✓ | all but 2 | 1 | rational |
| 4.9.3 | 4 | 9 | 124 | 144 | ✓ | all | 5 | rational |
| 4.9.4 | 4 | 9 | 123 | 48 | ✓ | ∅ | -1 | rational |
| 4.9.5 | 4 | 9 | 124 | 96 | ✓ | all | 2 | rational |
| 4.9.6 | 4 | 9 | 123 | 24 | ✓ | all | 5 | rational |
| 4.9.7 | 4 | 9 | 123 | 48 | ✓ | ∅ | -1 | rational |
| 4.9.8 | 4 | 9 | 123 | 8 | ✓ | all but 2 | 1 | rational |
| 4.9.9 | 4 | 9 | 122 | 8 | ✓ | all | 3 | rational |
| 4.9.10 | 4 | 9 | 122 | 8 | ✓ | all | 2 | rational |
| 4.9.11 | 4 | 9 | 122 | 4 | ✓ | all | 11 | rational |
| 4.9.12 | 4 | 9 | 122 | 32 | ✓ | all | 1 | rational |
| 4.9.13 | 4 | 9 | 123 | 32 | ✓ | all but 2 | 1 | rational |
| 4.9.14 | 4 | 9 | 122 | 16 | ✓ | all | 2 | rational |
| 4.9.15 | 4 | 9 | 122 | 128 | ✓ | all | 3 | rational |
| 4.9.16 | 4 | 9 | 123 | 8 | ✓ | all | 10 | rational |
| 4.9.17 | 4 | 9 | 122 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.18 | 4 | 9 | 122 | 2 | ✓ | all | 3 | rational |
| 4.9.19 | 4 | 9 | 121 | 2 | ✓ | all but 2 | 1 | rational |
| 4.9.20 | 4 | 9 | 121 | 4 | ✓ | all | 3 | rational |
| 4.9.21 | 4 | 9 | 122 | 2 | ✓ | all | 5 | rational |
| 4.9.22 | 4 | 9 | 121 | 2 | ✓ | all | 4 | rational |
| 4.9.23 | 4 | 9 | 121 | 2 | ✓ | all but 2,3,5,7 | 0 | rational |
| 4.9.24 | 4 | 9 | 120 | 12 | ✓ | all | 1 | rational |
| 4.9.25 | 4 | 9 | 122 | 8 | ✓ | all | 4 | rational |
| 4.9.26 | 4 | 9 | 121 | 8 | ✓ | all | 10 | rational |
| 4.9.27 | 4 | 9 | 123 | 96 | ✓ | ∅ | -1 | rational |
| 4.9.28 | 4 | 9 | 122 | 12 | ✓ | all | 2 | rational |
| 4.9.29 | 4 | 9 | 121 | 24 | ✓ | all | 2 | rational |
| 4.9.30 | 4 | 9 | 121 | 8 | ✓ | all | 5 | rational |
| 4.9.31 | 4 | 9 | 123 | 16 | ✓ | all | 3 | rational |
| 4.9.32 | 4 | 9 | 122 | 16 | ✓ | all | 3 | rational |
| 4.9.33 | 4 | 9 | 122 | 8 | ✓ | ∅ | -1 | rational |
| 4.9.34 | 4 | 9 | 122 | 4 | ✓ | all | 3 | rational |
| 4.9.35 | 4 | 9 | 121 | 8 | ✓ | all | 2 | rational |
| 4.9.36 | 4 | 9 | 121 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.37 | 4 | 9 | 122 | 4 | ✓ | all | 2 | rational |
| 4.9.38 | 4 | 9 | 121 | 8 | ✓ | all | 6 | rational |
| 4.9.39 | 4 | 9 | 121 | 4 | ✓ | all | 3 | rational |
| 4.9.40 | 4 | 9 | 122 | 4 | ✓ | all | 0 | rational |
| 4.9.41 | 4 | 9 | 121 | 4 | ✓ | all | 5 | rational |
| 4.9.42 | 4 | 9 | 121 | 8 | ✓ | all | 2 | rational |
| 4.9.43 | 4 | 9 | 122 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.44 | 4 | 9 | 121 | 4 | ✓ | all | 4 | rational |
| 4.9.45 | 4 | 9 | 122 | 8 | ✓ | ∅ | -1 | rational |
| 4.9.46 | 4 | 9 | 121 | 16 | ✓ | all but 2 | 1 | rational |
| 4.9.47 | 4 | 9 | 121 | 16 | ✓ | all | 2 | rational |
| 4.9.48 | 4 | 9 | 122 | 8 | ✓ | {5} | -1 | rational |
| 4.9.49 | 4 | 9 | 121 | 2 | ✓ | all | 2 | rational |