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32,400,859 matroids, showing 17,251–17,300
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.5307 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5308 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5309 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5310 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5311 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5312 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5313 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5314 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5315 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5316 | 3 | 11 | 154 | 11 | ✓ | all | 3 | Calabi-Yau threefold (elliptic over P^1 x P^1, K trivial; kappa = 0, not rational) |
| 3.11.5317 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.5318 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5319 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5320 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5321 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5322 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5323 | 3 | 11 | 156 | 2 | ✓ | all | 5 | rational |
| 3.11.5324 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5325 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5326 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5327 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |
| 3.11.5328 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.5329 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5330 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5331 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5332 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5333 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5334 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5335 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5336 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5337 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5338 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5339 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5340 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5341 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.5342 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5343 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.5344 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5345 | 3 | 11 | 155 | 2 | ✓ | all | 4 | rational |
| 3.11.5346 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5347 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5348 | 3 | 11 | 156 | 1 | ✓ | all | 5 | rational |
| 3.11.5349 | 3 | 11 | 155 | 1 | ✓ | all | 4 | rational |
| 3.11.5350 | 3 | 11 | 158 | 1 | ✓ | all | 7 | rational |
| 3.11.5351 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.5352 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.5353 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.5354 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.5355 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |
| 3.11.5356 | 3 | 11 | 157 | 1 | ✓ | all | 6 | rational |