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32,400,859 matroids, showing 15,801–15,850
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.174413 | 4 | 9 | 105 | 2 | ✓ | ∅ | -1 | rational |
| 4.9.174412 | 4 | 9 | 105 | 2 | ✓ | all | 3 | rational |
| 4.9.174411 | 4 | 9 | 105 | 2 | ✓ | all | 3 | empty |
| 4.9.174410 | 4 | 9 | 106 | 2 | ✓ | all | 3 | rational |
| 4.9.174409 | 4 | 9 | 106 | 2 | ✓ | all | 2 | rational |
| 4.9.174408 | 4 | 9 | 106 | 2 | ✓ | all | 3 | rational |
| 4.9.174407 | 4 | 9 | 106 | 2 | ✓ | all but 2 | 2 | rational |
| 4.9.174406 | 4 | 9 | 107 | 2 | ✓ | all | 3 | rational |
| 4.9.174405 | 4 | 9 | 106 | 2 | ✓ | all | 3 | empty |
| 4.9.174404 | 4 | 9 | 106 | 2 | ✓ | all | 3 | empty |
| 4.9.174403 | 4 | 9 | 107 | 2 | ✓ | all | 2 | empty |
| 4.9.174402 | 4 | 9 | 107 | 2 | ✓ | all | 3 | empty |
| 4.9.174401 | 4 | 9 | 107 | 2 | ✓ | all | 3 | empty |
| 4.9.174400 | 4 | 9 | 107 | 2 | ✓ | ∅ | -1 | empty |
| 4.9.174399 | 4 | 9 | 108 | 2 | ✓ | all but 2 | 2 | empty |
| 4.9.174398 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.174397 | 4 | 9 | 106 | 1 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 4.9.174396 | 4 | 9 | 106 | 1 | ✓ | all | 1 | rational |
| 4.9.174395 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.174394 | 4 | 9 | 106 | 1 | ✓ | all | 2 | point over Q(a)/(a^2 - 2) |
| 4.9.174393 | 4 | 9 | 106 | 1 | ✓ | all | 4 | point over Q(a)/(a^2 + 1) |
| 4.9.174392 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.174391 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174390 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.174389 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174388 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.174387 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174386 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational |
| 4.9.174385 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 3 | rational |
| 4.9.174384 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.174383 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.174382 | 4 | 9 | 106 | 1 | ✓ | all | 3 | empty |
| 4.9.174381 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |
| 4.9.174380 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.174379 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.174378 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | empty |
| 4.9.174377 | 4 | 9 | 108 | 1 | ✓ | all | 3 | empty |
| 4.9.174376 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational |
| 4.9.174375 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.174374 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.174373 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174372 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174371 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174370 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.174369 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.174368 | 4 | 9 | 109 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.174367 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.174366 | 4 | 9 | 106 | 1 | ✓ | all | 2 | empty |
| 4.9.174365 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.174364 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | empty |