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20 matroids
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.8.92 | 4 | 8 | 65 | 6 | ✓ | {2} | -1 | rational |
| 4.8.216 | 4 | 8 | 63 | 4 | ✓ | {2} | -1 | rational |
| 4.8.236 | 4 | 8 | 63 | 4 | ✓ | {2} | -1 | rational |
| 4.8.276 | 4 | 8 | 63 | 16 | ✓ | {2} | -1 | rational |
| 4.8.303 | 4 | 8 | 61 | 2 | ✓ | {3} | -1 | rational |
| 4.8.304 | 4 | 8 | 60 | 2 | ✓ | {2} | -1 | rational |
| 4.8.305 | 4 | 8 | 60 | 1 | ✓ | {2} | -1 | rational |
| 4.8.307 | 4 | 8 | 59 | 2 | ✓ | {2} | -1 | rational |
| 4.8.313 | 4 | 8 | 60 | 144 | ✓ | {2} | -1 | rational |
| 4.8.355 | 4 | 8 | 59 | 6 | ✓ | {2} | -1 | rational |
| 4.8.356 | 4 | 8 | 60 | 1 | ✓ | {2} | -1 | rational |
| 4.8.409 | 4 | 8 | 57 | 12 | ✓ | {2} | -1 | rational |
| 4.8.410 | 4 | 8 | 60 | 4 | ✓ | {2} | -1 | rational |
| 4.8.510 | 4 | 8 | 51 | 4 | ✓ | {2} | -1 | rational |
| 4.8.535 | 4 | 8 | 49 | 2 | ✗ | {2} | -1 | rational |
| 4.8.564 | 4 | 8 | 44 | 16 | ✗ | {2} | -1 | rational |
| 4.8.594 | 4 | 8 | 42 | 48 | ✗ | {2} | -1 | rational |
| 4.8.623 | 4 | 8 | 53 | 72 | ✓ | {2} | -1 | rational |
| 4.8.714 | 4 | 8 | 36 | 24 | ✗ | {2} | -1 | rational |
| 4.8.889 | 4 | 8 | 20 | 16 | ✗ | {2} | -1 | rational |