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6,657,451 matroids, showing 101–150
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.160 | 3 | 9 | 75 | 2 | ✓ | all but 2 | 3 | rational |
| 3.9.163 | 3 | 9 | 77 | 10080 | ✗ | all | 3 | rational |
| 3.9.166 | 3 | 9 | 75 | 32 | ✗ | all | 3 | rational |
| 3.9.172 | 3 | 9 | 72 | 24 | ✗ | all | 3 | rational |
| 3.9.173 | 3 | 9 | 73 | 48 | ✗ | all | 3 | rational |
| 3.9.176 | 3 | 9 | 70 | 336 | ✗ | all | 3 | empty |
| 3.9.191 | 3 | 9 | 77 | 12 | ✓ | all | 3 | rational |
| 3.9.193 | 3 | 9 | 78 | 8 | ✓ | all | 3 | rational |
| 3.9.225 | 3 | 9 | 75 | 2 | ✓ | all | 3 | rational |
| 3.9.227 | 3 | 9 | 76 | 16 | ✓ | all | 3 | rational |
| 3.9.229 | 3 | 9 | 74 | 16 | ✓ | all | 3 | rational |
| 3.9.231 | 3 | 9 | 76 | 2 | ✓ | all | 3 | rational |
| 3.9.236 | 3 | 9 | 75 | 1 | ✓ | all | 3 | rational |
| 3.9.238 | 3 | 9 | 75 | 1 | ✓ | all | 3 | rational |
| 3.9.239 | 3 | 9 | 74 | 2 | ✓ | all | 3 | rational |
| 3.9.241 | 3 | 9 | 75 | 2 | ✓ | all | 3 | rational |
| 3.9.242 | 3 | 9 | 74 | 4 | ✓ | all | 3 | rational |
| 3.9.244 | 3 | 9 | 76 | 6 | ✓ | all | 3 | rational |
| 3.9.247 | 3 | 9 | 75 | 1 | ✓ | all | 3 | rational |
| 3.9.252 | 3 | 9 | 73 | 6 | ✓ | all | 3 | rational over Q(a)/(a^2 - a + 1) |
| 3.9.254 | 3 | 9 | 73 | 4 | ✓ | all | 3 | rational |
| 3.9.255 | 3 | 9 | 75 | 6 | ✓ | all | 3 | rational |
| 3.9.256 | 3 | 9 | 72 | 48 | ✓ | all | 3 | rational |
| 3.9.257 | 3 | 9 | 77 | 12 | ✓ | all | 3 | rational |
| 3.9.260 | 3 | 9 | 76 | 4 | ✓ | all | 3 | rational |
| 3.9.264 | 3 | 9 | 75 | 1 | ✓ | all | 3 | rational |
| 3.9.265 | 3 | 9 | 75 | 2 | ✓ | all | 3 | rational |
| 3.9.266 | 3 | 9 | 74 | 2 | ✓ | all | 3 | rational |
| 3.9.274 | 3 | 9 | 74 | 1 | ✓ | all | 3 | rational |
| 3.9.281 | 3 | 9 | 75 | 2 | ✓ | all | 3 | rational |
| 3.9.282 | 3 | 9 | 74 | 1 | ✓ | all | 3 | rational |
| 3.9.283 | 3 | 9 | 74 | 2 | ✓ | all | 3 | rational |
| 3.9.284 | 3 | 9 | 75 | 2 | ✓ | all | 3 | rational |
| 3.9.289 | 3 | 9 | 73 | 1 | ✓ | all | 3 | rational |
| 3.9.290 | 3 | 9 | 74 | 1 | ✓ | all | 3 | rational |
| 3.9.291 | 3 | 9 | 73 | 1 | ✓ | all | 3 | rational |
| 3.9.292 | 3 | 9 | 73 | 1 | ✓ | all | 3 | rational |
| 3.9.296 | 3 | 9 | 75 | 4 | ✓ | all | 3 | rational |
| 3.9.300 | 3 | 9 | 73 | 2 | ✓ | all | 3 | rational |
| 3.9.303 | 3 | 9 | 73 | 1 | ✓ | all | 3 | rational |
| 3.9.315 | 3 | 9 | 74 | 4 | ✓ | all but 2 | 3 | rational |
| 3.9.335 | 3 | 9 | 72 | 2 | ✓ | all | 3 | rational |
| 3.9.336 | 3 | 9 | 72 | 2 | ✓ | all | 3 | rational |
| 3.9.338 | 3 | 9 | 72 | 2 | ✓ | all | 3 | rational |
| 3.9.339 | 3 | 9 | 71 | 2 | ✓ | all | 3 | rational |
| 3.9.340 | 3 | 9 | 71 | 2 | ✓ | all | 3 | rational |
| 3.9.343 | 3 | 9 | 71 | 8 | ✓ | all | 3 | empty |
| 3.9.344 | 3 | 9 | 71 | 6 | ✓ | all | 3 | rational |
| 3.9.345 | 3 | 9 | 70 | 12 | ✓ | all | 3 | rational |
| 3.9.347 | 3 | 9 | 72 | 12 | ✓ | all | 3 | rational |