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1,370,644 matroids, showing 1–50
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.190200 | 4 | 9 | 10 | 480 | ✗ | all | 5 | rational |
| 4.9.190187 | 4 | 9 | 13 | 32 | ✗ | all | 5 | rational |
| 4.9.190165 | 4 | 9 | 8 | 96 | ✗ | all | 5 | rational |
| 4.9.190164 | 4 | 9 | 10 | 16 | ✗ | all | 5 | rational |
| 4.9.190160 | 4 | 9 | 14 | 16 | ✗ | all | 5 | rational |
| 4.9.190158 | 4 | 9 | 14 | 24 | ✗ | all | 5 | rational |
| 4.9.190150 | 4 | 9 | 20 | 96 | ✗ | all | 5 | rational |
| 4.9.190129 | 4 | 9 | 26 | 24 | ✗ | all | 5 | rational |
| 4.9.190105 | 4 | 9 | 10 | 720 | ✗ | all | 5 | rational |
| 4.9.190067 | 4 | 9 | 33 | 36 | ✗ | all | 5 | rational |
| 4.9.190063 | 4 | 9 | 37 | 72 | ✗ | all | 5 | rational |
| 4.9.190062 | 4 | 9 | 26 | 48 | ✗ | all | 5 | rational |
| 4.9.190054 | 4 | 9 | 32 | 16 | ✗ | all | 5 | rational |
| 4.9.190051 | 4 | 9 | 35 | 8 | ✗ | all | 5 | rational |
| 4.9.190043 | 4 | 9 | 35 | 8 | ✗ | all | 5 | rational |
| 4.9.190029 | 4 | 9 | 40 | 240 | ✗ | all | 5 | rational |
| 4.9.190008 | 4 | 9 | 31 | 4 | ✗ | all | 5 | rational |
| 4.9.189998 | 4 | 9 | 36 | 32 | ✗ | all | 5 | rational |
| 4.9.189926 | 4 | 9 | 46 | 48 | ✗ | all | 5 | rational |
| 4.9.189905 | 4 | 9 | 51 | 2 | ✓ | all | 5 | rational |
| 4.9.189808 | 4 | 9 | 18 | 48 | ✗ | all | 5 | rational |
| 4.9.189797 | 4 | 9 | 29 | 48 | ✗ | all | 5 | rational |
| 4.9.189792 | 4 | 9 | 36 | 288 | ✗ | all | 5 | rational |
| 4.9.189790 | 4 | 9 | 36 | 192 | ✗ | all | 5 | rational |
| 4.9.189789 | 4 | 9 | 37 | 192 | ✗ | all | 5 | rational |
| 4.9.189741 | 4 | 9 | 40 | 8 | ✗ | all | 5 | rational |
| 4.9.189720 | 4 | 9 | 43 | 24 | ✗ | all | 5 | rational |
| 4.9.189692 | 4 | 9 | 51 | 24 | ✗ | all | 5 | rational |
| 4.9.189676 | 4 | 9 | 36 | 24 | ✗ | all | 5 | rational |
| 4.9.189675 | 4 | 9 | 38 | 96 | ✗ | all | 5 | rational |
| 4.9.189654 | 4 | 9 | 46 | 16 | ✗ | all | 5 | rational |
| 4.9.189652 | 4 | 9 | 50 | 32 | ✗ | all | 5 | rational |
| 4.9.189647 | 4 | 9 | 49 | 8 | ✗ | all | 5 | rational |
| 4.9.189586 | 4 | 9 | 58 | 96 | ✗ | all | 5 | rational |
| 4.9.189567 | 4 | 9 | 28 | 32 | ✗ | all | 5 | rational |
| 4.9.189539 | 4 | 9 | 42 | 72 | ✗ | all | 5 | rational |
| 4.9.189525 | 4 | 9 | 58 | 24 | ✗ | all | 5 | rational |
| 4.9.189506 | 4 | 9 | 47 | 4 | ✗ | all | 5 | rational |
| 4.9.189503 | 4 | 9 | 49 | 12 | ✗ | all | 5 | rational |
| 4.9.189479 | 4 | 9 | 47 | 24 | ✗ | all | 5 | rational |
| 4.9.189426 | 4 | 9 | 50 | 96 | ✗ | all | 5 | rational |
| 4.9.189348 | 4 | 9 | 69 | 4 | ✗ | all | 5 | rational |
| 4.9.189345 | 4 | 9 | 70 | 8 | ✗ | all | 5 | rational |
| 4.9.189339 | 4 | 9 | 65 | 8 | ✗ | all | 5 | rational |
| 4.9.189229 | 4 | 9 | 74 | 12 | ✓ | all | 5 | rational |
| 4.9.189184 | 4 | 9 | 66 | 32 | ✗ | all | 5 | rational |
| 4.9.189082 | 4 | 9 | 81 | 2 | ✓ | all | 5 | rational |
| 4.9.189047 | 4 | 9 | 81 | 4 | ✓ | all | 5 | rational |
| 4.9.189032 | 4 | 9 | 83 | 4 | ✓ | all | 5 | rational |
| 4.9.189027 | 4 | 9 | 85 | 12 | ✓ | all | 5 | rational |