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32,400,859 matroids, showing 17,951–18,000
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.172263 | 4 | 9 | 108 | 2 | ✓ | all | 1 | rational |
| 4.9.172262 | 4 | 9 | 108 | 4 | ✓ | all | 3 | rational |
| 4.9.172261 | 4 | 9 | 109 | 4 | ✓ | all but 2 | 1 | rational |
| 4.9.172260 | 4 | 9 | 109 | 2 | ✓ | all | 4 | rational |
| 4.9.172259 | 4 | 9 | 109 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.172258 | 4 | 9 | 110 | 4 | ✓ | ∅ | -1 | rational |
| 4.9.172257 | 4 | 9 | 107 | 4 | ✓ | {2} | -1 | rational |
| 4.9.172256 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.172255 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.172254 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172253 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.172252 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172251 | 4 | 9 | 107 | 2 | ✓ | all | 1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.172250 | 4 | 9 | 108 | 1 | ✓ | all but 2,5 | 0 | rational |
| 4.9.172249 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.172248 | 4 | 9 | 109 | 2 | ✓ | all | 1 | rational |
| 4.9.172247 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.172246 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.172245 | 4 | 9 | 109 | 2 | ✓ | all | 1 | rational |
| 4.9.172244 | 4 | 9 | 110 | 2 | ✓ | all | 5 | rational |
| 4.9.172243 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172242 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.172241 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.172240 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.172239 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172238 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.172237 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172236 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.172235 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.172234 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.172233 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172232 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.172231 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.172230 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172229 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.172228 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.172227 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172226 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.172225 | 4 | 9 | 110 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172224 | 4 | 9 | 108 | 2 | ✓ | all | 2 | rational |
| 4.9.172223 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.172222 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.172221 | 4 | 9 | 109 | 1 | ✓ | all | 4 | rational |
| 4.9.172220 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.172219 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.172218 | 4 | 9 | 110 | 1 | ✓ | all | 5 | rational |
| 4.9.172217 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.172216 | 4 | 9 | 109 | 1 | ✓ | all | 4 | rational |
| 4.9.172215 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.172214 | 4 | 9 | 110 | 1 | ✓ | all | 3 | rational |