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6,657,451 matroids, showing 2,801–2,850
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.9572 | 3 | 10 | 61 | 48 | ✗ | all | 3 | rational |
| 3.10.9573 | 3 | 10 | 57 | 288 | ✗ | all | 3 | rational |
| 3.10.9574 | 3 | 10 | 60 | 96 | ✗ | all | 3 | rational |
| 3.10.9576 | 3 | 10 | 58 | 48 | ✗ | all | 3 | rational |
| 3.10.9581 | 3 | 10 | 52 | 96 | ✗ | all | 3 | rational |
| 3.10.9586 | 3 | 10 | 48 | 864 | ✗ | all | 3 | rational |
| 3.10.9589 | 3 | 10 | 45 | 864 | ✗ | all | 3 | rational |
| 3.10.9591 | 3 | 10 | 44 | 288 | ✗ | all | 3 | rational |
| 3.10.9593 | 3 | 10 | 36 | 1728 | ✗ | all | 3 | rational |
| 3.10.9598 | 3 | 10 | 52 | 36 | ✗ | all | 3 | rational |
| 3.10.9599 | 3 | 10 | 51 | 72 | ✗ | all | 3 | rational |
| 3.10.9612 | 3 | 10 | 45 | 72 | ✗ | all | 3 | rational |
| 3.10.9613 | 3 | 10 | 49 | 24 | ✗ | all but 2 | 3 | rational |
| 3.10.9617 | 3 | 10 | 42 | 72 | ✗ | all | 3 | rational |
| 3.10.9620 | 3 | 10 | 41 | 24 | ✗ | all | 3 | rational |
| 3.10.9627 | 3 | 10 | 39 | 144 | ✗ | all | 3 | rational |
| 3.10.9628 | 3 | 10 | 33 | 72 | ✗ | all | 3 | rational |
| 3.10.9635 | 3 | 10 | 39 | 48 | ✗ | all | 3 | rational |
| 3.10.9641 | 3 | 10 | 35 | 16 | ✗ | all | 3 | rational |
| 3.10.9643 | 3 | 10 | 39 | 96 | ✗ | all | 3 | rational |
| 3.10.9646 | 3 | 10 | 38 | 16 | ✗ | all | 3 | rational |
| 3.10.9648 | 3 | 10 | 36 | 16 | ✗ | all | 3 | rational |
| 3.10.9649 | 3 | 10 | 35 | 16 | ✗ | all | 3 | rational |
| 3.10.9650 | 3 | 10 | 33 | 48 | ✗ | all | 3 | rational |
| 3.10.9652 | 3 | 10 | 32 | 32 | ✗ | all | 3 | rational |
| 3.10.9659 | 3 | 10 | 27 | 432 | ✗ | all | 3 | rational |
| 3.10.9662 | 3 | 10 | 54 | 1440 | ✗ | all | 3 | rational |
| 3.10.9663 | 3 | 10 | 54 | 240 | ✗ | all | 3 | rational |
| 3.10.9664 | 3 | 10 | 53 | 240 | ✗ | all | 3 | rational |
| 3.10.9665 | 3 | 10 | 51 | 720 | ✗ | all | 3 | rational |
| 3.10.9666 | 3 | 10 | 50 | 960 | ✗ | all | 3 | rational |
| 3.10.9667 | 3 | 10 | 49 | 240 | ✗ | all | 3 | rational |
| 3.10.9671 | 3 | 10 | 50 | 480 | ✗ | all | 3 | rational |
| 3.10.9677 | 3 | 10 | 46 | 288 | ✗ | all | 3 | rational |
| 3.10.9681 | 3 | 10 | 42 | 144 | ✗ | all | 3 | rational |
| 3.10.9683 | 3 | 10 | 41 | 48 | ✗ | all | 3 | rational |
| 3.10.9686 | 3 | 10 | 42 | 288 | ✗ | all | 3 | rational |
| 3.10.9687 | 3 | 10 | 41 | 96 | ✗ | all | 3 | rational |
| 3.10.9691 | 3 | 10 | 36 | 192 | ✗ | all | 3 | rational |
| 3.10.9696 | 3 | 10 | 35 | 24 | ✗ | all | 3 | rational |
| 3.10.9697 | 3 | 10 | 33 | 72 | ✗ | all | 3 | rational |
| 3.10.9700 | 3 | 10 | 32 | 48 | ✗ | all | 3 | rational |
| 3.10.9701 | 3 | 10 | 34 | 144 | ✗ | all | 3 | rational |
| 3.10.9706 | 3 | 10 | 29 | 24 | ✗ | all | 3 | rational |
| 3.10.9708 | 3 | 10 | 24 | 96 | ✗ | all | 3 | rational |
| 3.10.9709 | 3 | 10 | 28 | 144 | ✗ | all | 3 | rational |
| 3.10.9710 | 3 | 10 | 27 | 144 | ✗ | all | 3 | rational |
| 3.10.9711 | 3 | 10 | 27 | 24 | ✗ | all | 3 | rational |
| 3.10.9714 | 3 | 10 | 26 | 96 | ✗ | all | 3 | rational |
| 3.10.9719 | 3 | 10 | 23 | 48 | ✗ | all | 3 | rational |