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32,400,859 matroids, showing 15,001–15,050
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.175213 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175212 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175211 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175210 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175209 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175208 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.175207 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175206 | 4 | 9 | 107 | 4 | ✓ | all | 3 | rational |
| 4.9.175205 | 4 | 9 | 107 | 2 | ✓ | all | 2 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.175204 | 4 | 9 | 108 | 2 | ✓ | all but 2 | 2 | rational |
| 4.9.175203 | 4 | 9 | 108 | 2 | ✓ | all | 1 | rational |
| 4.9.175202 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175201 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175200 | 4 | 9 | 108 | 4 | ✓ | all | 3 | rational |
| 4.9.175199 | 4 | 9 | 109 | 2 | ✓ | all | 3 | rational |
| 4.9.175198 | 4 | 9 | 110 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.175197 | 4 | 9 | 104 | 4 | ✓ | all | 2 | rational |
| 4.9.175196 | 4 | 9 | 105 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.175195 | 4 | 9 | 104 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175194 | 4 | 9 | 105 | 1 | ✓ | all | 2 | rational |
| 4.9.175193 | 4 | 9 | 104 | 1 | ✓ | all | 2 | rational |
| 4.9.175192 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.175191 | 4 | 9 | 104 | 1 | ✓ | all | 2 | rational |
| 4.9.175190 | 4 | 9 | 105 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.175189 | 4 | 9 | 105 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.175188 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.175187 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175186 | 4 | 9 | 105 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.175185 | 4 | 9 | 106 | 2 | ✓ | all | 3 | rational |
| 4.9.175184 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175183 | 4 | 9 | 106 | 2 | ✓ | all | 3 | rational |
| 4.9.175182 | 4 | 9 | 106 | 2 | ✓ | all | 2 | rational |
| 4.9.175181 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.175180 | 4 | 9 | 105 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.175179 | 4 | 9 | 106 | 1 | ✓ | all | 4 | rational |
| 4.9.175178 | 4 | 9 | 106 | 1 | ✓ | all | 1 | rational |
| 4.9.175177 | 4 | 9 | 106 | 2 | ✓ | all | 2 | rational |
| 4.9.175176 | 4 | 9 | 107 | 2 | ✓ | all | 1 | rational |
| 4.9.175175 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.175174 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | empty |
| 4.9.175173 | 4 | 9 | 107 | 2 | ✓ | {2} | -1 | rational |
| 4.9.175172 | 4 | 9 | 106 | 2 | ✓ | all | 3 | empty |
| 4.9.175171 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.175170 | 4 | 9 | 106 | 4 | ✓ | all | 3 | empty |
| 4.9.175169 | 4 | 9 | 107 | 2 | ✓ | all | 3 | empty |
| 4.9.175168 | 4 | 9 | 107 | 4 | ✓ | all | 4 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.175167 | 4 | 9 | 108 | 4 | ✓ | all | 2 | rational |
| 4.9.175166 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 1 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.175165 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 1 | empty |
| 4.9.175164 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |