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32,400,859 matroids, showing 16,751–16,800
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.173463 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173462 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |
| 4.9.173461 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.173460 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173459 | 4 | 9 | 107 | 1 | ✓ | all but 2,3,5 | 0 | rational |
| 4.9.173458 | 4 | 9 | 107 | 1 | ✓ | all | 1 | empty |
| 4.9.173457 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173456 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173455 | 4 | 9 | 108 | 1 | ✓ | all | 5 | rational |
| 4.9.173454 | 4 | 9 | 108 | 1 | ✓ | all | 3 | empty |
| 4.9.173453 | 4 | 9 | 109 | 1 | ✓ | all | 4 | rational |
| 4.9.173452 | 4 | 9 | 106 | 2 | ✓ | all | 2 | rational |
| 4.9.173451 | 4 | 9 | 107 | 1 | ✓ | all but 2,5 | 0 | empty |
| 4.9.173450 | 4 | 9 | 106 | 2 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.173449 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.173448 | 4 | 9 | 108 | 2 | ✓ | all but 2,3,7 | 0 | rational |
| 4.9.173447 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.173446 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173445 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173444 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.173443 | 4 | 9 | 107 | 1 | ✓ | all | 6 | rational |
| 4.9.173442 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.173441 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173440 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173439 | 4 | 9 | 108 | 1 | ✓ | {7} | -1 | rational |
| 4.9.173438 | 4 | 9 | 109 | 1 | ✓ | all | 4 | rational |
| 4.9.173437 | 4 | 9 | 106 | 1 | ✓ | all | 2 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.173436 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173435 | 4 | 9 | 107 | 1 | ✓ | all | 1 | genus 1 curve (11a3) |
| 4.9.173434 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.173433 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173432 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.173431 | 4 | 9 | 107 | 1 | ✓ | all | 5 | rational |
| 4.9.173430 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.173429 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173428 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173427 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173426 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.173425 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.173424 | 4 | 9 | 106 | 1 | ✓ | all but 2,3 | 0 | empty |
| 4.9.173423 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational |
| 4.9.173422 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.173421 | 4 | 9 | 106 | 1 | ✓ | all but 7 | 0 | empty |
| 4.9.173420 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.173419 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173418 | 4 | 9 | 107 | 1 | ✓ | all | 5 | rational |
| 4.9.173417 | 4 | 9 | 107 | 1 | ✓ | all | 3 | empty |
| 4.9.173416 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173415 | 4 | 9 | 107 | 1 | ✓ | all | 0 | empty |
| 4.9.173414 | 4 | 9 | 107 | 1 | ✓ | all | 2 | empty |