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32,400,859 matroids, showing 15,951–16,000
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.174263 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.174262 | 4 | 9 | 107 | 1 | ✓ | all | 3 | empty |
| 4.9.174261 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.174260 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational over Q(a)/(a^2 - a - 1) |
| 4.9.174259 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174258 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174257 | 4 | 9 | 108 | 1 | ✓ | all | 2 | empty |
| 4.9.174256 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174255 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.174254 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational over Q(a)/(a^2 - a - 1) |
| 4.9.174253 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.174252 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174251 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.174250 | 4 | 9 | 106 | 1 | ✓ | all | 2 | empty |
| 4.9.174249 | 4 | 9 | 106 | 1 | ✓ | all | 2 | empty |
| 4.9.174248 | 4 | 9 | 107 | 1 | ✓ | all | 1 | empty |
| 4.9.174247 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.174246 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |
| 4.9.174245 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |
| 4.9.174244 | 4 | 9 | 108 | 1 | ✓ | all | 2 | empty |
| 4.9.174243 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174242 | 4 | 9 | 107 | 1 | ✓ | all | 1 | empty |
| 4.9.174241 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174240 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174239 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.174238 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.174237 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174236 | 4 | 9 | 106 | 1 | ✓ | all | 2 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.174235 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.174234 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174233 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174232 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174231 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174230 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.174229 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174228 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174227 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174226 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174225 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.174224 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174223 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.174222 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174221 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.174220 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.174219 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174218 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |
| 4.9.174217 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.174216 | 4 | 9 | 107 | 1 | ✓ | all | 1 | genus 1 curve (11a3) |
| 4.9.174215 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.174214 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |