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1,370,644 matroids, showing 51–100
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.419 | 3 | 9 | 71 | 4 | ✗ | all | 5 | rational |
| 3.9.422 | 3 | 9 | 70 | 2 | ✗ | all | 5 | rational |
| 3.9.458 | 3 | 9 | 66 | 12 | ✗ | all | 5 | point over Q(a)/(a^2 - a + 1) |
| 3.9.462 | 3 | 9 | 67 | 12 | ✗ | all | 5 | rational |
| 3.9.606 | 3 | 9 | 69 | 2 | ✓ | all | 5 | rational |
| 3.9.607 | 3 | 9 | 68 | 8 | ✓ | all | 5 | rational |
| 3.9.613 | 3 | 9 | 68 | 4 | ✓ | all | 5 | rational |
| 3.9.614 | 3 | 9 | 67 | 6 | ✓ | all | 5 | rational |
| 3.9.641 | 3 | 9 | 66 | 4 | ✗ | all | 5 | rational |
| 3.9.643 | 3 | 9 | 64 | 48 | ✗ | all | 5 | empty |
| 3.9.680 | 3 | 9 | 62 | 4 | ✗ | all | 5 | rational |
| 3.9.682 | 3 | 9 | 62 | 16 | ✗ | all | 5 | rational |
| 3.9.706 | 3 | 9 | 63 | 8 | ✗ | all | 5 | rational |
| 3.9.715 | 3 | 9 | 60 | 16 | ✗ | all | 5 | rational |
| 3.9.728 | 3 | 9 | 59 | 4 | ✗ | all | 5 | rational |
| 3.9.770 | 3 | 9 | 48 | 2 | ✗ | all | 5 | rational |
| 3.9.855 | 3 | 9 | 44 | 8 | ✗ | all | 5 | rational |
| 3.9.875 | 3 | 9 | 39 | 8 | ✗ | all | 5 | rational |
| 3.9.885 | 3 | 9 | 32 | 96 | ✗ | all | 5 | rational |
| 3.9.888 | 3 | 9 | 31 | 12 | ✗ | all | 5 | rational |
| 3.9.893 | 3 | 9 | 28 | 336 | ✗ | all | 5 | empty |
| 3.9.907 | 3 | 9 | 64 | 4320 | ✓ | all | 5 | rational |
| 3.9.908 | 3 | 9 | 63 | 4320 | ✓ | all | 5 | rational |
| 3.9.911 | 3 | 9 | 61 | 36 | ✓ | all | 5 | rational |
| 3.9.979 | 3 | 9 | 50 | 24 | ✗ | all | 5 | rational |
| 3.9.993 | 3 | 9 | 43 | 72 | ✗ | all | 5 | rational |
| 3.9.1004 | 3 | 9 | 39 | 24 | ✗ | all | 5 | rational |
| 3.9.1033 | 3 | 9 | 44 | 48 | ✗ | all | 5 | rational |
| 3.9.1035 | 3 | 9 | 42 | 192 | ✗ | all | 5 | rational |
| 3.9.1093 | 3 | 9 | 48 | 1440 | ✓ | all | 5 | rational |
| 3.9.1131 | 3 | 9 | 32 | 32 | ✗ | all | 5 | rational |
| 3.9.1134 | 3 | 9 | 26 | 32 | ✗ | all | 5 | rational |
| 3.9.1173 | 3 | 9 | 16 | 32 | ✗ | all | 5 | rational |
| 3.9.1198 | 3 | 9 | 14 | 48 | ✗ | all | 5 | rational |
| 3.9.1201 | 3 | 9 | 12 | 96 | ✗ | all | 5 | rational |
| 3.9.1209 | 3 | 9 | 15 | 720 | ✗ | all | 5 | rational |
| 3.9.1211 | 3 | 9 | 12 | 288 | ✗ | all | 5 | rational |
| 3.9.1224 | 3 | 9 | 24 | 72 | ✗ | all | 5 | rational |
| 3.9.1236 | 3 | 9 | 16 | 1152 | ✗ | all | 5 | rational |
| 3.9.1243 | 3 | 9 | 12 | 96 | ✗ | all | 5 | rational |
| 3.9.1246 | 3 | 9 | 17 | 240 | ✗ | all | 5 | rational |
| 3.9.1253 | 3 | 9 | 9 | 144 | ✗ | all | 5 | rational |
| 3.9.1254 | 3 | 9 | 9 | 72 | ✗ | all | 5 | rational |
| 3.10.47 | 3 | 10 | 113 | 2 | ✓ | all | 5 | rational |
| 3.10.49 | 3 | 10 | 113 | 6 | ✓ | all | 5 | rational |
| 3.10.51 | 3 | 10 | 113 | 2 | ✓ | all | 5 | rational |
| 3.10.54 | 3 | 10 | 113 | 4 | ✓ | all | 5 | rational |
| 3.10.56 | 3 | 10 | 113 | 4 | ✓ | all | 5 | rational |
| 3.10.66 | 3 | 10 | 113 | 2 | ✓ | all | 5 | rational |
| 3.10.69 | 3 | 10 | 113 | 4 | ✓ | all | 5 | rational |