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1,144 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.2775 | 3 | 10 | 105 | 12 | ✓ | all | 3 | empty |
| 3.10.2818 | 3 | 10 | 104 | 32 | ✓ | all | 2 | rational |
| 3.10.3680 | 3 | 10 | 104 | 24 | ✓ | all | 2 | empty |
| 3.10.4311 | 3 | 10 | 102 | 36 | ✓ | all | 2 | rational |
| 3.10.4600 | 3 | 10 | 103 | 2 | ✓ | all | 2 | empty |
| 3.10.4605 | 3 | 10 | 102 | 12 | ✓ | all | 1 | point over Q(a)/(a^2 - a + 1) |
| 3.10.4716 | 3 | 10 | 100 | 120 | ✓ | all | 4 | rational |
| 3.10.4724 | 3 | 10 | 102 | 2 | ✓ | all | 3 | point over Q(a)/(a^2 - a - 1) |
| 3.10.4834 | 3 | 10 | 102 | 36 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 3.10.4873 | 3 | 10 | 101 | 12 | ✓ | all but 2,3 | 1 | empty |
| 3.10.4926 | 3 | 10 | 100 | 6 | ✓ | all but 2 | 1 | empty |
| 3.10.4937 | 3 | 10 | 100 | 8 | ✓ | {2} | -1 | point over Q(a)/(a^2 - a + 1) |
| 3.10.4942 | 3 | 10 | 101 | 2 | ✓ | {2} | -1 | empty |
| 3.10.5414 | 3 | 10 | 100 | 24 | ✗ | all | 2 | rational |
| 3.10.5747 | 3 | 10 | 96 | 96 | ✗ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 3.10.5781 | 3 | 10 | 98 | 8 | ✗ | all | 3 | rational |
| 3.10.5805 | 3 | 10 | 96 | 96 | ✗ | all | 2 | rational |
| 3.10.6013 | 3 | 10 | 99 | 4 | ✗ | all | 3 | empty |
| 3.10.6024 | 3 | 10 | 98 | 8 | ✗ | all | 4 | empty |
| 3.10.6034 | 3 | 10 | 98 | 4 | ✗ | all but 2 | 1 | rational |
| 3.10.6038 | 3 | 10 | 98 | 4 | ✗ | all | 4 | rational |
| 3.10.6167 | 3 | 10 | 95 | 12 | ✗ | all | 4 | point over Q(a)/(a^2 - a + 1) |
| 3.10.6173 | 3 | 10 | 97 | 4 | ✗ | all but 2 | 1 | point over Q(a)/(a^2 - a + 1) |
| 3.10.6188 | 3 | 10 | 96 | 8 | ✗ | all | 3 | point over Q(a)/(a^2 - a - 1) |
| 3.10.6190 | 3 | 10 | 96 | 6 | ✗ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 3.10.6192 | 3 | 10 | 96 | 2 | ✗ | all but 2 | 0 | rational |
| 3.10.6196 | 3 | 10 | 97 | 2 | ✗ | all | 4 | point over Q(a)/(a^2 - a - 1) |
| 3.10.6198 | 3 | 10 | 96 | 4 | ✗ | all but 2 | 1 | rational |
| 3.10.6246 | 3 | 10 | 95 | 8 | ✗ | all | 6 | empty |
| 3.10.6247 | 3 | 10 | 94 | 8 | ✗ | all | 3 | empty |
| 3.10.6342 | 3 | 10 | 94 | 16 | ✗ | all | 1 | rational |
| 3.10.6347 | 3 | 10 | 92 | 16 | ✗ | all | 2 | rational |
| 3.10.6376 | 3 | 10 | 93 | 8 | ✗ | all | 4 | rational |
| 3.10.6381 | 3 | 10 | 94 | 8 | ✗ | all | 4 | rational |
| 3.10.6386 | 3 | 10 | 92 | 48 | ✗ | all | 5 | rational |
| 3.10.6395 | 3 | 10 | 92 | 4 | ✗ | all | 0 | rational |
| 3.10.6398 | 3 | 10 | 91 | 8 | ✗ | all | 2 | rational |
| 3.10.6400 | 3 | 10 | 90 | 48 | ✗ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 3.10.6408 | 3 | 10 | 92 | 16 | ✗ | all | 4 | rational |
| 3.10.6409 | 3 | 10 | 92 | 32 | ✗ | all | 4 | rational |
| 3.10.6424 | 3 | 10 | 88 | 32 | ✗ | all | 4 | rational |
| 3.10.6426 | 3 | 10 | 90 | 48 | ✗ | all | 3 | rational |
| 3.10.6430 | 3 | 10 | 86 | 32 | ✗ | all | 3 | rational |
| 3.10.6432 | 3 | 10 | 88 | 768 | ✗ | all but 2 | 1 | rational |
| 3.10.6434 | 3 | 10 | 80 | 3840 | ✗ | all | 2 | rational |
| 3.10.6476 | 3 | 10 | 75 | 108 | ✗ | all but 2 | 1 | rational |
| 3.10.6544 | 3 | 10 | 72 | 432 | ✗ | {2} | -1 | point over Q(a)/(a^2 - a + 1) |
| 3.10.6586 | 3 | 10 | 74 | 12 | ✗ | all | 1 | empty |
| 3.10.6797 | 3 | 10 | 100 | 20 | ✓ | all | 5 | point over Q(a)/(a^2 - a - 1) |
| 3.10.6905 | 3 | 10 | 99 | 6 | ✓ | all | 5 | point over Q(a)/(a^2 - a + 1) |