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205 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.7913 | 3 | 10 | 72 | 128 | ✗ | all | 3 | rational |
| 3.10.8820 | 3 | 10 | 70 | 32 | ✗ | all | 2 | rational |
| 3.10.8822 | 3 | 10 | 64 | 256 | ✗ | all | 3 | rational |
| 3.10.9006 | 3 | 10 | 64 | 96 | ✗ | all | 0 | rational |
| 3.10.9011 | 3 | 10 | 67 | 24 | ✗ | all | 3 | rational |
| 3.10.9013 | 3 | 10 | 60 | 96 | ✗ | all | 3 | rational |
| 3.10.9017 | 3 | 10 | 66 | 48 | ✗ | all | 3 | rational |
| 3.10.9019 | 3 | 10 | 65 | 48 | ✗ | all | 2 | rational |
| 3.10.9030 | 3 | 10 | 64 | 288 | ✗ | all | 4 | rational |
| 3.10.9036 | 3 | 10 | 60 | 576 | ✗ | all | 2 | rational |
| 3.10.9038 | 3 | 10 | 59 | 72 | ✗ | all | 1 | rational |
| 3.10.9039 | 3 | 10 | 56 | 144 | ✗ | all | 4 | rational |
| 3.10.9040 | 3 | 10 | 54 | 1296 | ✗ | all | 1 | rational |
| 3.10.9161 | 3 | 10 | 48 | 128 | ✗ | all | 2 | rational |
| 3.10.9165 | 3 | 10 | 51 | 16 | ✗ | all | 3 | rational |
| 3.10.9167 | 3 | 10 | 50 | 48 | ✗ | all | 3 | rational |
| 3.10.9245 | 3 | 10 | 60 | 192 | ✗ | all | 4 | rational |
| 3.10.9250 | 3 | 10 | 56 | 1152 | ✗ | all | 3 | rational |
| 3.10.9252 | 3 | 10 | 56 | 192 | ✗ | all | 1 | rational |
| 3.10.9254 | 3 | 10 | 48 | 1152 | ✗ | all | 0 | rational |
| 3.10.9302 | 3 | 10 | 48 | 48 | ✗ | all | 3 | rational |
| 3.10.9307 | 3 | 10 | 44 | 288 | ✗ | all | 2 | rational |
| 3.10.9309 | 3 | 10 | 44 | 48 | ✗ | all | 4 | rational |
| 3.10.9351 | 3 | 10 | 36 | 64 | ✗ | all | 2 | rational |
| 3.10.9354 | 3 | 10 | 32 | 768 | ✗ | all | 4 | rational |
| 3.10.9489 | 3 | 10 | 63 | 48 | ✗ | all | 4 | rational |
| 3.10.9492 | 3 | 10 | 58 | 48 | ✗ | all | 2 | rational |
| 3.10.9493 | 3 | 10 | 56 | 96 | ✗ | all | 4 | rational |
| 3.10.9494 | 3 | 10 | 48 | 288 | ✗ | all | 0 | rational |
| 3.10.9502 | 3 | 10 | 60 | 72 | ✗ | all | 3 | rational |
| 3.10.9505 | 3 | 10 | 57 | 144 | ✗ | all | 6 | rational |
| 3.10.9506 | 3 | 10 | 53 | 72 | ✗ | all | 1 | rational |
| 3.10.9507 | 3 | 10 | 45 | 432 | ✗ | all | 5 | rational |
| 3.10.9541 | 3 | 10 | 49 | 48 | ✗ | all | 3 | rational |
| 3.10.9544 | 3 | 10 | 44 | 32 | ✗ | all | 4 | rational |
| 3.10.9545 | 3 | 10 | 36 | 288 | ✗ | all | 0 | rational |
| 3.10.9577 | 3 | 10 | 57 | 48 | ✗ | all | 5 | rational |
| 3.10.9580 | 3 | 10 | 54 | 96 | ✗ | all | 2 | rational |
| 3.10.9581 | 3 | 10 | 52 | 96 | ✗ | all | 3 | rational |
| 3.10.9582 | 3 | 10 | 48 | 192 | ✗ | all | 4 | rational |
| 3.10.9588 | 3 | 10 | 51 | 144 | ✗ | all | 2 | rational |
| 3.10.9590 | 3 | 10 | 50 | 288 | ✗ | all | 1 | rational |
| 3.10.9591 | 3 | 10 | 44 | 288 | ✗ | all | 3 | rational |
| 3.10.9592 | 3 | 10 | 42 | 288 | ✗ | all | 4 | rational |
| 3.10.9593 | 3 | 10 | 36 | 1728 | ✗ | all | 3 | rational |
| 3.10.9616 | 3 | 10 | 46 | 12 | ✗ | all but 2 | 2 | rational |
| 3.10.9619 | 3 | 10 | 43 | 24 | ✗ | all but 2 | 1 | rational |
| 3.10.9620 | 3 | 10 | 41 | 24 | ✗ | all | 3 | rational |
| 3.10.9621 | 3 | 10 | 39 | 48 | ✗ | all | 2 | rational |
| 3.10.9625 | 3 | 10 | 40 | 72 | ✗ | all but 2 | 2 | rational |