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32,400,859 matroids, showing 16,001–16,050
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.174213 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - 2) |
| 4.9.174212 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a - 1) |
| 4.9.174211 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174210 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.174209 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174208 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174207 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.174206 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.174205 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174204 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174203 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174202 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.174201 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174200 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.174199 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.174198 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174197 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.174196 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.174195 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174194 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174193 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.174192 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174191 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174190 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174189 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 1 | rational |
| 4.9.174188 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.174187 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174186 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174185 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 0 | rational |
| 4.9.174184 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.174183 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174182 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.174181 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.174180 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.174179 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.174178 | 4 | 9 | 109 | 1 | ✓ | all | 4 | rational |
| 4.9.174177 | 4 | 9 | 110 | 1 | ✓ | all | 3 | rational |
| 4.9.174176 | 4 | 9 | 106 | 1 | ✓ | all | 2 | empty |
| 4.9.174175 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.174174 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.174173 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational |
| 4.9.174172 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.174171 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.174170 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.174169 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.174168 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.174167 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174166 | 4 | 9 | 107 | 2 | ✓ | all | 4 | empty |
| 4.9.174165 | 4 | 9 | 108 | 1 | ✓ | all | 3 | empty |
| 4.9.174164 | 4 | 9 | 108 | 2 | ✓ | all | 4 | rational |