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564 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.4842 | 3 | 10 | 99 | 108 | ✓ | all | 2 | empty |
| 3.10.4951 | 3 | 10 | 98 | 24 | ✓ | all | 3 | empty |
| 3.10.6241 | 3 | 10 | 93 | 12 | ✗ | {2} | -1 | empty |
| 3.10.6797 | 3 | 10 | 100 | 20 | ✓ | all | 5 | point over Q(a)/(a^2 - a - 1) |
| 3.10.6903 | 3 | 10 | 99 | 2 | ✓ | all | 5 | rational |
| 3.10.6905 | 3 | 10 | 99 | 6 | ✓ | all | 5 | point over Q(a)/(a^2 - a + 1) |
| 3.10.6906 | 3 | 10 | 99 | 6 | ✓ | all | 6 | empty |
| 3.10.6911 | 3 | 10 | 99 | 4 | ✓ | all | 5 | empty |
| 3.10.6915 | 3 | 10 | 98 | 4 | ✓ | all | 5 | rational |
| 3.10.6916 | 3 | 10 | 98 | 8 | ✓ | all | 5 | rational |
| 3.10.6921 | 3 | 10 | 96 | 48 | ✓ | all | 4 | rational |
| 3.10.6966 | 3 | 10 | 92 | 12 | ✗ | all | 5 | rational |
| 3.10.6969 | 3 | 10 | 93 | 4 | ✗ | all | 2 | rational |
| 3.10.6971 | 3 | 10 | 93 | 4 | ✗ | all | 3 | rational |
| 3.10.6972 | 3 | 10 | 93 | 24 | ✗ | all | 1 | empty |
| 3.10.7477 | 3 | 10 | 91 | 8 | ✗ | all | 4 | rational |
| 3.10.7481 | 3 | 10 | 92 | 4 | ✗ | all | 4 | empty |
| 3.10.7483 | 3 | 10 | 91 | 4 | ✗ | all | 3 | rational |
| 3.10.7529 | 3 | 10 | 90 | 24 | ✗ | all | 5 | empty |
| 3.10.7534 | 3 | 10 | 90 | 16 | ✗ | all | 3 | rational |
| 3.10.7598 | 3 | 10 | 88 | 24 | ✗ | all | 5 | empty |
| 3.10.7607 | 3 | 10 | 87 | 8 | ✗ | all | 1 | rational |
| 3.10.7608 | 3 | 10 | 84 | 48 | ✗ | all | 1 | rational |
| 3.10.7615 | 3 | 10 | 85 | 8 | ✗ | all | 1 | rational |
| 3.10.7768 | 3 | 10 | 86 | 16 | ✗ | all | 3 | rational |
| 3.10.7783 | 3 | 10 | 87 | 16 | ✗ | all | 2 | rational |
| 3.10.7798 | 3 | 10 | 87 | 8 | ✗ | all | 2 | rational |
| 3.10.7800 | 3 | 10 | 87 | 16 | ✗ | all | 3 | empty |
| 3.10.7838 | 3 | 10 | 85 | 8 | ✗ | all | 3 | rational |
| 3.10.7846 | 3 | 10 | 85 | 4 | ✗ | all | 3 | rational |
| 3.10.7848 | 3 | 10 | 86 | 8 | ✗ | all | 3 | rational |
| 3.10.7849 | 3 | 10 | 85 | 8 | ✗ | all but 2 | 3 | empty |
| 3.10.7851 | 3 | 10 | 84 | 16 | ✗ | all | 2 | rational |
| 3.10.7885 | 3 | 10 | 81 | 16 | ✗ | all | 3 | rational |
| 3.10.7912 | 3 | 10 | 79 | 8 | ✗ | all | 2 | rational |
| 3.10.7913 | 3 | 10 | 72 | 128 | ✗ | all | 3 | rational |
| 3.10.7921 | 3 | 10 | 80 | 48 | ✗ | all | 4 | rational |
| 3.10.7924 | 3 | 10 | 77 | 48 | ✗ | all | 5 | empty |
| 3.10.8100 | 3 | 10 | 69 | 12 | ✗ | all | 2 | empty |
| 3.10.8105 | 3 | 10 | 68 | 24 | ✗ | all | 5 | rational |
| 3.10.8245 | 3 | 10 | 81 | 72 | ✗ | all | 2 | rational |
| 3.10.8251 | 3 | 10 | 82 | 12 | ✗ | all | 3 | rational |
| 3.10.8252 | 3 | 10 | 82 | 36 | ✗ | all | 1 | empty |
| 3.10.8253 | 3 | 10 | 81 | 24 | ✗ | all | 0 | rational |
| 3.10.8309 | 3 | 10 | 76 | 24 | ✗ | all | 3 | rational |
| 3.10.8311 | 3 | 10 | 75 | 24 | ✗ | all | 1 | rational |
| 3.10.8457 | 3 | 10 | 63 | 24 | ✗ | all | 3 | rational |
| 3.10.8463 | 3 | 10 | 64 | 4 | ✗ | all | 7 | rational |
| 3.10.8464 | 3 | 10 | 64 | 12 | ✗ | all | 2 | empty |
| 3.10.8577 | 3 | 10 | 94 | 24 | ✓ | all | 3 | rational |