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32,400,859 matroids, showing 9,951–10,000
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.180263 | 4 | 9 | 104 | 1 | ✓ | all | 1 | rational |
| 4.9.180262 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180261 | 4 | 9 | 105 | 1 | ✓ | all | 2 | rational |
| 4.9.180260 | 4 | 9 | 105 | 1 | ✓ | all | 1 | rational |
| 4.9.180259 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180258 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180257 | 4 | 9 | 106 | 1 | ✓ | all | 4 | rational |
| 4.9.180256 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.180255 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180254 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180253 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.180252 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.180251 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180250 | 4 | 9 | 103 | 2 | ✓ | all | 5 | rational |
| 4.9.180249 | 4 | 9 | 103 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.180248 | 4 | 9 | 104 | 1 | ✓ | all | 3 | rational |
| 4.9.180247 | 4 | 9 | 104 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180246 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180245 | 4 | 9 | 104 | 1 | ✓ | all | 1 | rational |
| 4.9.180244 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180243 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180242 | 4 | 9 | 106 | 2 | ✓ | all but 2,3 | 0 | rational |
| 4.9.180241 | 4 | 9 | 103 | 2 | ✓ | all | 2 | rational |
| 4.9.180240 | 4 | 9 | 104 | 1 | ✓ | all | 1 | rational |
| 4.9.180239 | 4 | 9 | 104 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180238 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180237 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180236 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180235 | 4 | 9 | 104 | 1 | ✓ | {7} | -1 | rational |
| 4.9.180234 | 4 | 9 | 105 | 1 | ✓ | all | 4 | rational |
| 4.9.180233 | 4 | 9 | 105 | 1 | ✓ | all | 2 | rational |
| 4.9.180232 | 4 | 9 | 105 | 1 | ✓ | all | 4 | rational |
| 4.9.180231 | 4 | 9 | 106 | 1 | ✓ | all | 0 | rational |
| 4.9.180230 | 4 | 9 | 105 | 1 | ✓ | all | 2 | rational |
| 4.9.180229 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180228 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.180227 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.180226 | 4 | 9 | 105 | 1 | ✓ | all | 1 | rational |
| 4.9.180225 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.180224 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.180223 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.180222 | 4 | 9 | 106 | 1 | ✓ | all | 1 | rational |
| 4.9.180221 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.180220 | 4 | 9 | 103 | 2 | ✓ | all | 3 | rational |
| 4.9.180219 | 4 | 9 | 101 | 4 | ✓ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 4.9.180218 | 4 | 9 | 102 | 1 | ✓ | all but 2,3 | 0 | rational |
| 4.9.180217 | 4 | 9 | 103 | 2 | ✓ | all | 3 | rational |
| 4.9.180216 | 4 | 9 | 103 | 1 | ✓ | all | 2 | rational |
| 4.9.180215 | 4 | 9 | 104 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.180214 | 4 | 9 | 103 | 1 | ✓ | all but 2 | 1 | point over Q(a)/(a^2 - a - 1) |