Search
1,804 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 |
| 4.9.21 | 4 | 9 | 122 | 2 | ✓ | 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 |
| 4.9.37 | 4 | 9 | 122 | 4 | ✓ | all | 2 | rational |
| 4.9.40 | 4 | 9 | 122 | 4 | ✓ | all | 0 | rational |
| 4.9.43 | 4 | 9 | 122 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.48 | 4 | 9 | 122 | 8 | ✓ | {5} | -1 | rational |
| 4.9.52 | 4 | 9 | 122 | 2 | ✓ | all | 2 | rational |
| 4.9.69 | 4 | 9 | 122 | 4 | ✓ | all | 2 | rational |
| 4.9.109 | 4 | 9 | 123 | 12 | ✓ | all | 5 | rational |
| 4.9.110 | 4 | 9 | 122 | 4 | ✓ | all | 9 | rational |
| 4.9.111 | 4 | 9 | 122 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.115 | 4 | 9 | 122 | 2 | ✓ | all | 3 | rational |
| 4.9.131 | 4 | 9 | 122 | 4 | ✓ | all | 1 | rational |
| 4.9.154 | 4 | 9 | 122 | 6 | ✓ | all | 3 | rational |
| 4.9.169 | 4 | 9 | 122 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.372 | 4 | 9 | 122 | 4 | ✓ | all | 4 | rational |
| 4.9.573 | 4 | 9 | 122 | 2 | ✓ | all | 3 | rational |
| 4.9.2374 | 4 | 9 | 122 | 24 | ✓ | all | 3 | rational |
| 4.9.2584 | 4 | 9 | 122 | 8 | ✓ | all | 3 | rational |
| 4.9.29516 | 4 | 9 | 123 | 288 | ✓ | all | 3 | rational |
| 4.9.29517 | 4 | 9 | 122 | 48 | ✓ | all but 2 | 1 | rational |
| 4.9.29518 | 4 | 9 | 122 | 8 | ✓ | all | 3 | rational |
| 4.9.30021 | 4 | 9 | 122 | 12 | ✓ | all | 4 | rational |
| 4.9.113063 | 4 | 9 | 120 | 4320 | ✓ | ∅ | -1 | rational |
| 4.9.113064 | 4 | 9 | 119 | 288 | ✓ | all | 2 | rational |
| 4.9.113065 | 4 | 9 | 118 | 96 | ✓ | all but 2 | 1 | rational |
| 4.9.113067 | 4 | 9 | 119 | 72 | ✓ | all | 5 | rational |
| 4.9.113068 | 4 | 9 | 118 | 24 | ✓ | all | 3 | rational |