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32,400,859 matroids, showing 7,101–7,150
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.5194 | 3 | 10 | 103 | 12 | ✗ | all but 2 | 2 | rational |
| 3.10.5195 | 3 | 10 | 102 | 12 | ✗ | all | 2 | rational |
| 3.10.5196 | 3 | 10 | 103 | 4 | ✗ | all | 1 | rational |
| 3.10.5197 | 3 | 10 | 100 | 4 | ✗ | all | 3 | rational |
| 3.10.5198 | 3 | 10 | 102 | 2 | ✗ | all | 1 | rational |
| 3.10.5199 | 3 | 10 | 101 | 4 | ✗ | all | 0 | rational |
| 3.10.5200 | 3 | 10 | 102 | 2 | ✗ | all | 3 | rational |
| 3.10.5201 | 3 | 10 | 101 | 2 | ✗ | all | 4 | rational |
| 3.10.5202 | 3 | 10 | 102 | 4 | ✗ | all | 3 | rational |
| 3.10.5203 | 3 | 10 | 101 | 4 | ✗ | all | 3 | rational |
| 3.10.5204 | 3 | 10 | 100 | 12 | ✗ | all | 5 | empty |
| 3.10.5205 | 3 | 10 | 103 | 4 | ✗ | all | 6 | rational |
| 3.10.5206 | 3 | 10 | 102 | 2 | ✗ | {2} | -1 | rational |
| 3.10.5207 | 3 | 10 | 102 | 2 | ✗ | all | 6 | rational |
| 3.10.5208 | 3 | 10 | 101 | 2 | ✗ | all | 3 | rational |
| 3.10.5209 | 3 | 10 | 101 | 4 | ✗ | all | 4 | rational |
| 3.10.5210 | 3 | 10 | 100 | 8 | ✗ | all | 3 | rational |
| 3.10.5211 | 3 | 10 | 102 | 4 | ✗ | all | 3 | rational |
| 3.10.5212 | 3 | 10 | 101 | 2 | ✗ | all | 2 | rational |
| 3.10.5213 | 3 | 10 | 100 | 4 | ✗ | all | 3 | rational |
| 3.10.5214 | 3 | 10 | 99 | 24 | ✗ | all | 3 | rational |
| 3.10.5215 | 3 | 10 | 102 | 16 | ✗ | all | 2 | rational |
| 3.10.5216 | 3 | 10 | 101 | 4 | ✗ | all | 3 | rational |
| 3.10.5217 | 3 | 10 | 100 | 8 | ✗ | all | 3 | rational |
| 3.10.5218 | 3 | 10 | 101 | 4 | ✗ | all | 3 | rational |
| 3.10.5219 | 3 | 10 | 100 | 2 | ✗ | all | 2 | rational |
| 3.10.5220 | 3 | 10 | 100 | 4 | ✗ | all | 2 | rational |
| 3.10.5221 | 3 | 10 | 99 | 4 | ✗ | all | 3 | rational |
| 3.10.5222 | 3 | 10 | 108 | 384 | ✗ | all but 2 | 1 | rational |
| 3.10.5223 | 3 | 10 | 107 | 96 | ✗ | all | 1 | rational |
| 3.10.5224 | 3 | 10 | 104 | 384 | ✗ | all | 3 | rational |
| 3.10.5225 | 3 | 10 | 107 | 16 | ✗ | all | 2 | rational |
| 3.10.5226 | 3 | 10 | 106 | 8 | ✗ | all | 3 | rational |
| 3.10.5227 | 3 | 10 | 106 | 16 | ✗ | all but 2 | 2 | rational |
| 3.10.5228 | 3 | 10 | 106 | 32 | ✗ | all | 3 | rational |
| 3.10.5229 | 3 | 10 | 106 | 32 | ✗ | all | 3 | rational |
| 3.10.5230 | 3 | 10 | 106 | 4 | ✗ | all | 2 | rational |
| 3.10.5231 | 3 | 10 | 105 | 4 | ✗ | all | 2 | rational |
| 3.10.5232 | 3 | 10 | 105 | 4 | ✗ | all | 2 | rational |
| 3.10.5233 | 3 | 10 | 104 | 16 | ✗ | all | 5 | rational |
| 3.10.5234 | 3 | 10 | 105 | 4 | ✗ | all | 3 | rational |
| 3.10.5235 | 3 | 10 | 104 | 8 | ✗ | all | 1 | rational |
| 3.10.5236 | 3 | 10 | 104 | 16 | ✗ | all | 3 | rational |
| 3.10.5237 | 3 | 10 | 106 | 8 | ✗ | all | 2 | rational |
| 3.10.5238 | 3 | 10 | 105 | 8 | ✗ | all | 4 | rational |
| 3.10.5239 | 3 | 10 | 105 | 2 | ✗ | all | 3 | rational |
| 3.10.5240 | 3 | 10 | 104 | 8 | ✗ | all | 2 | rational |
| 3.10.5241 | 3 | 10 | 105 | 8 | ✗ | all | 4 | rational |
| 3.10.5242 | 3 | 10 | 104 | 4 | ✗ | all | 1 | rational |
| 3.10.5243 | 3 | 10 | 104 | 32 | ✗ | all | 3 | rational |