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32,400,859 matroids, showing 7,201–7,250
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.5294 | 3 | 10 | 105 | 4 | ✗ | all | 2 | rational |
| 3.10.5295 | 3 | 10 | 105 | 4 | ✗ | all | 4 | rational |
| 3.10.5296 | 3 | 10 | 105 | 4 | ✗ | all | 1 | rational |
| 3.10.5297 | 3 | 10 | 105 | 4 | ✗ | all | 2 | rational |
| 3.10.5298 | 3 | 10 | 104 | 4 | ✗ | all | 2 | rational |
| 3.10.5299 | 3 | 10 | 105 | 2 | ✗ | all but 2 | 1 | rational |
| 3.10.5300 | 3 | 10 | 104 | 2 | ✗ | all | 4 | rational |
| 3.10.5301 | 3 | 10 | 104 | 2 | ✗ | all | 1 | rational |
| 3.10.5302 | 3 | 10 | 104 | 2 | ✗ | all | 2 | rational |
| 3.10.5303 | 3 | 10 | 104 | 2 | ✗ | all | 1 | rational |
| 3.10.5304 | 3 | 10 | 103 | 2 | ✗ | all | 2 | rational |
| 3.10.5305 | 3 | 10 | 102 | 4 | ✗ | all | 4 | rational |
| 3.10.5306 | 3 | 10 | 105 | 2 | ✗ | all | 1 | rational |
| 3.10.5307 | 3 | 10 | 104 | 2 | ✗ | all | 1 | rational |
| 3.10.5308 | 3 | 10 | 104 | 2 | ✗ | all | 3 | rational |
| 3.10.5309 | 3 | 10 | 104 | 2 | ✗ | all | 3 | rational |
| 3.10.5310 | 3 | 10 | 104 | 2 | ✗ | all | 0 | rational |
| 3.10.5311 | 3 | 10 | 103 | 2 | ✗ | all | 2 | rational |
| 3.10.5312 | 3 | 10 | 104 | 2 | ✗ | all | 2 | rational |
| 3.10.5313 | 3 | 10 | 103 | 2 | ✗ | all | 3 | rational |
| 3.10.5314 | 3 | 10 | 103 | 2 | ✗ | all | 3 | rational |
| 3.10.5315 | 3 | 10 | 103 | 2 | ✗ | all | 2 | rational |
| 3.10.5316 | 3 | 10 | 102 | 4 | ✗ | all | 5 | rational |
| 3.10.5317 | 3 | 10 | 105 | 2 | ✗ | all | 0 | rational |
| 3.10.5318 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5319 | 3 | 10 | 104 | 2 | ✗ | all | 3 | rational |
| 3.10.5320 | 3 | 10 | 104 | 2 | ✗ | all | 3 | rational |
| 3.10.5321 | 3 | 10 | 104 | 2 | ✗ | all | 1 | rational |
| 3.10.5322 | 3 | 10 | 103 | 4 | ✗ | all | 3 | rational |
| 3.10.5323 | 3 | 10 | 104 | 2 | ✗ | all but 2,3 | 0 | rational |
| 3.10.5324 | 3 | 10 | 103 | 2 | ✗ | all | 2 | rational |
| 3.10.5325 | 3 | 10 | 103 | 2 | ✗ | all | 4 | rational |
| 3.10.5326 | 3 | 10 | 103 | 2 | ✗ | all | 4 | rational |
| 3.10.5327 | 3 | 10 | 104 | 2 | ✗ | all | 3 | rational |
| 3.10.5328 | 3 | 10 | 103 | 2 | ✗ | all | 1 | rational |
| 3.10.5329 | 3 | 10 | 103 | 2 | ✗ | all | 2 | rational |
| 3.10.5330 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5331 | 3 | 10 | 102 | 4 | ✗ | {2} | -1 | rational |
| 3.10.5332 | 3 | 10 | 104 | 4 | ✗ | all | 3 | rational |
| 3.10.5333 | 3 | 10 | 103 | 4 | ✗ | all | 2 | rational |
| 3.10.5334 | 3 | 10 | 103 | 2 | ✗ | all | 7 | rational |
| 3.10.5335 | 3 | 10 | 103 | 4 | ✗ | all | 3 | rational |
| 3.10.5336 | 3 | 10 | 105 | 4 | ✗ | all | 3 | rational |
| 3.10.5337 | 3 | 10 | 104 | 4 | ✗ | all but 3 | 0 | rational |
| 3.10.5338 | 3 | 10 | 104 | 2 | ✗ | all | 0 | rational |
| 3.10.5339 | 3 | 10 | 103 | 4 | ✗ | all | 2 | rational |
| 3.10.5340 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5341 | 3 | 10 | 103 | 2 | ✗ | all | 2 | rational |
| 3.10.5342 | 3 | 10 | 103 | 4 | ✗ | all | 2 | rational |
| 3.10.5343 | 3 | 10 | 104 | 2 | ✗ | all | 4 | rational |