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32,400,859 matroids, showing 15,851–15,900
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.174363 | 4 | 9 | 107 | 1 | ✓ | all | 3 | empty |
| 4.9.174362 | 4 | 9 | 107 | 2 | ✓ | all | 1 | rational |
| 4.9.174361 | 4 | 9 | 108 | 2 | ✓ | all | 1 | rational |
| 4.9.174360 | 4 | 9 | 106 | 2 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 4.9.174359 | 4 | 9 | 106 | 2 | ✓ | all but 2 | 1 | point over Q(a)/(a^2 + 1) |
| 4.9.174358 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational |
| 4.9.174357 | 4 | 9 | 107 | 2 | ✓ | all | 4 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.174356 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.174355 | 4 | 9 | 108 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.174354 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 + 1) |
| 4.9.174353 | 4 | 9 | 106 | 1 | ✓ | all | 3 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.174352 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174351 | 4 | 9 | 107 | 1 | ✓ | all | 3 | genus 1 curve (11a3) |
| 4.9.174350 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174349 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174348 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174347 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.174346 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.174345 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.174344 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174343 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational |
| 4.9.174342 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.174341 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174340 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174339 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174338 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174337 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174336 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.174335 | 4 | 9 | 105 | 2 | ✓ | all but 2,3 | 1 | empty |
| 4.9.174334 | 4 | 9 | 106 | 1 | ✓ | all | 3 | point over Q(a)/(a^2 - a - 1) |
| 4.9.174333 | 4 | 9 | 106 | 2 | ✓ | all | 3 | empty |
| 4.9.174332 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational |
| 4.9.174331 | 4 | 9 | 105 | 2 | ✓ | all | 3 | empty |
| 4.9.174330 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.174329 | 4 | 9 | 106 | 2 | ✓ | all | 3 | empty |
| 4.9.174328 | 4 | 9 | 107 | 2 | ✓ | all | 2 | empty |
| 4.9.174327 | 4 | 9 | 106 | 2 | ✓ | all | 3 | empty |
| 4.9.174326 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174325 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | empty |
| 4.9.174324 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.174323 | 4 | 9 | 105 | 1 | ✓ | all | 3 | empty |
| 4.9.174322 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.174321 | 4 | 9 | 106 | 1 | ✓ | all | 4 | empty |
| 4.9.174320 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174319 | 4 | 9 | 106 | 1 | ✓ | all | 4 | point over Q(a)/(a^2 + 1) |
| 4.9.174318 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174317 | 4 | 9 | 105 | 1 | ✓ | all | 2 | empty |
| 4.9.174316 | 4 | 9 | 106 | 1 | ✓ | all | 2 | empty |
| 4.9.174315 | 4 | 9 | 106 | 1 | ✓ | all but 2,3 | 0 | empty |
| 4.9.174314 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |