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100 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.8.514 | 4 | 8 | 45 | 8 | ✓ | all | 4 | rational |
| 4.8.566 | 4 | 8 | 40 | 8 | ✗ | all | 4 | rational |
| 4.8.672 | 4 | 8 | 40 | 8 | ✓ | all | 2 | rational |
| 4.8.673 | 4 | 8 | 32 | 48 | ✗ | all | 3 | rational |
| 4.8.732 | 4 | 8 | 37 | 4 | ✗ | all | 2 | rational |
| 4.8.733 | 4 | 8 | 34 | 4 | ✗ | all | 1 | rational |
| 4.8.735 | 4 | 8 | 33 | 16 | ✗ | all | 1 | rational |
| 4.8.736 | 4 | 8 | 32 | 16 | ✗ | all | 1 | rational |
| 4.8.739 | 4 | 8 | 36 | 16 | ✗ | all | 2 | rational |
| 4.8.741 | 4 | 8 | 31 | 8 | ✗ | all | 2 | rational |
| 4.8.742 | 4 | 8 | 28 | 96 | ✗ | all | 4 | rational |
| 4.8.746 | 4 | 8 | 33 | 16 | ✗ | all | 2 | rational |
| 4.8.747 | 4 | 8 | 32 | 16 | ✗ | all | 3 | rational |
| 4.8.749 | 4 | 8 | 32 | 64 | ✗ | all | 3 | rational |
| 4.8.751 | 4 | 8 | 31 | 8 | ✗ | all | 1 | rational |
| 4.8.753 | 4 | 8 | 26 | 8 | ✗ | all | 1 | rational |
| 4.8.754 | 4 | 8 | 29 | 16 | ✗ | all | 2 | rational |
| 4.8.755 | 4 | 8 | 25 | 32 | ✗ | all | 1 | rational |
| 4.8.756 | 4 | 8 | 24 | 32 | ✗ | all | 1 | rational |
| 4.8.757 | 4 | 8 | 28 | 96 | ✗ | all | 2 | rational |
| 4.8.758 | 4 | 8 | 24 | 32 | ✗ | all | 1 | rational |
| 4.8.759 | 4 | 8 | 20 | 32 | ✗ | all | 1 | rational |
| 4.8.760 | 4 | 8 | 16 | 384 | ✗ | all | 2 | rational |
| 4.8.770 | 4 | 8 | 24 | 8 | ✗ | all | 2 | rational |
| 4.8.772 | 4 | 8 | 21 | 8 | ✗ | all | 2 | rational |
| 4.8.773 | 4 | 8 | 20 | 48 | ✗ | all | 1 | rational |
| 4.8.777 | 4 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 4.8.780 | 4 | 8 | 27 | 24 | ✗ | all | 0 | rational |
| 4.8.781 | 4 | 8 | 24 | 48 | ✗ | all | 2 | rational |
| 4.8.785 | 4 | 8 | 20 | 16 | ✗ | all | 0 | rational |
| 4.8.788 | 4 | 8 | 19 | 8 | ✗ | all | 1 | rational |
| 4.8.789 | 4 | 8 | 16 | 16 | ✗ | all | 1 | rational |
| 4.8.792 | 4 | 8 | 12 | 96 | ✗ | all | 1 | rational |
| 4.8.801 | 4 | 8 | 28 | 48 | ✗ | all | 0 | rational |
| 4.8.802 | 4 | 8 | 27 | 24 | ✗ | all | 0 | rational |
| 4.8.803 | 4 | 8 | 24 | 48 | ✗ | all | 0 | rational |
| 4.8.808 | 4 | 8 | 25 | 36 | ✗ | all | 1 | rational |
| 4.8.809 | 4 | 8 | 23 | 72 | ✗ | all | 1 | rational |
| 4.8.810 | 4 | 8 | 21 | 72 | ✗ | all | 2 | rational |
| 4.8.811 | 4 | 8 | 23 | 72 | ✗ | all | 1 | rational |
| 4.8.812 | 4 | 8 | 21 | 72 | ✗ | all | 2 | rational |
| 4.8.813 | 4 | 8 | 20 | 72 | ✗ | all | 1 | rational |
| 4.8.814 | 4 | 8 | 18 | 72 | ✗ | all | 0 | rational |
| 4.8.816 | 4 | 8 | 18 | 12 | ✗ | all | 0 | rational |
| 4.8.817 | 4 | 8 | 17 | 24 | ✗ | all | 0 | rational |
| 4.8.818 | 4 | 8 | 15 | 24 | ✗ | all | 2 | rational |
| 4.8.819 | 4 | 8 | 16 | 48 | ✗ | all | 1 | rational |
| 4.8.820 | 4 | 8 | 14 | 24 | ✗ | all | 1 | rational |
| 4.8.821 | 4 | 8 | 12 | 48 | ✗ | all | 0 | rational |
| 4.8.823 | 4 | 8 | 11 | 24 | ✗ | all | 1 | rational |