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32,400,859 matroids, showing 16,951–17,000
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.173263 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173262 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173261 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173260 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 3 | rational |
| 4.9.173259 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173258 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173257 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.173256 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173255 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.173254 | 4 | 9 | 106 | 1 | ✓ | all | 5 | rational |
| 4.9.173253 | 4 | 9 | 106 | 1 | ✓ | all | 4 | rational |
| 4.9.173252 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173251 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 + 1) |
| 4.9.173250 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.173249 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173248 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.173247 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173246 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173245 | 4 | 9 | 107 | 1 | ✓ | all but 2,3,5,7,13 | 0 | rational |
| 4.9.173244 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173243 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.173242 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173241 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.173240 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173239 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 0 | rational |
| 4.9.173238 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173237 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.173236 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173235 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173234 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 0 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.173233 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173232 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173231 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173230 | 4 | 9 | 108 | 1 | ✓ | all but 2,3,5,7 | 0 | rational |
| 4.9.173229 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173228 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.173227 | 4 | 9 | 107 | 4 | ✓ | all but 2,3 | 1 | rational |
| 4.9.173226 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.173225 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational |
| 4.9.173224 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.173223 | 4 | 9 | 108 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.173222 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173221 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173220 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173219 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173218 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173217 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.173216 | 4 | 9 | 108 | 1 | ✓ | all | 0 | rational |
| 4.9.173215 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173214 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 3 | rational |