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5,700,971 matroids, showing 1–50
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.190213 | 4 | 9 | 1 | 2880 | ✗ | all but 2 | 1 | rational |
| 4.9.190207 | 4 | 9 | 3 | 288 | ✗ | all but 2,3 | 1 | rational |
| 4.9.190201 | 4 | 9 | 9 | 96 | ✗ | all but 2,3 | 1 | rational |
| 4.9.190192 | 4 | 9 | 12 | 288 | ✗ | all but 2 | 1 | rational |
| 4.9.190191 | 4 | 9 | 14 | 96 | ✗ | all but 2 | 1 | rational |
| 4.9.190170 | 4 | 9 | 13 | 144 | ✗ | all but 2,3 | 1 | rational |
| 4.9.190144 | 4 | 9 | 15 | 24 | ✗ | all but 2 | 1 | rational |
| 4.9.190133 | 4 | 9 | 21 | 72 | ✗ | all but 2 | 1 | rational |
| 4.9.190130 | 4 | 9 | 25 | 24 | ✗ | all but 2 | 1 | rational |
| 4.9.190119 | 4 | 9 | 24 | 96 | ✗ | all | 1 | rational |
| 4.9.190087 | 4 | 9 | 25 | 48 | ✗ | all | 1 | rational |
| 4.9.190083 | 4 | 9 | 24 | 12 | ✗ | all | 1 | rational |
| 4.9.190077 | 4 | 9 | 28 | 48 | ✗ | all | 1 | rational |
| 4.9.190065 | 4 | 9 | 36 | 12 | ✗ | all | 1 | rational |
| 4.9.190060 | 4 | 9 | 28 | 6 | ✗ | all | 1 | rational |
| 4.9.190028 | 4 | 9 | 42 | 144 | ✓ | all but 2 | 1 | rational |
| 4.9.190016 | 4 | 9 | 39 | 72 | ✗ | all | 1 | rational |
| 4.9.190011 | 4 | 9 | 31 | 24 | ✗ | all | 1 | rational |
| 4.9.190005 | 4 | 9 | 32 | 8 | ✗ | all | 1 | rational |
| 4.9.189997 | 4 | 9 | 38 | 8 | ✗ | all but 2 | 1 | rational |
| 4.9.189979 | 4 | 9 | 43 | 4 | ✗ | all | 1 | rational |
| 4.9.189974 | 4 | 9 | 44 | 2 | ✗ | all but 2 | 1 | rational |
| 4.9.189945 | 4 | 9 | 48 | 2 | ✓ | all | 1 | rational |
| 4.9.189936 | 4 | 9 | 49 | 4 | ✓ | all | 1 | rational |
| 4.9.189932 | 4 | 9 | 50 | 12 | ✓ | all but 2 | 1 | rational |
| 4.9.189914 | 4 | 9 | 51 | 8 | ✓ | all but 2 | 1 | rational |
| 4.9.189908 | 4 | 9 | 51 | 12 | ✓ | all | 1 | rational |
| 4.9.189894 | 4 | 9 | 53 | 8 | ✓ | all | 1 | rational |
| 4.9.189890 | 4 | 9 | 55 | 720 | ✓ | all | 1 | rational |
| 4.9.189888 | 4 | 9 | 5 | 2880 | ✗ | all but 2 | 1 | rational |
| 4.9.189875 | 4 | 9 | 14 | 48 | ✗ | all | 1 | rational |
| 4.9.189867 | 4 | 9 | 21 | 72 | ✗ | all but 2 | 1 | rational |
| 4.9.189847 | 4 | 9 | 29 | 48 | ✗ | all | 1 | rational |
| 4.9.189835 | 4 | 9 | 39 | 72 | ✗ | all but 2 | 1 | rational |
| 4.9.189834 | 4 | 9 | 36 | 216 | ✗ | all but 2 | 1 | rational |
| 4.9.189833 | 4 | 9 | 39 | 216 | ✗ | all | 1 | rational |
| 4.9.189828 | 4 | 9 | 35 | 720 | ✗ | all but 2 | 1 | rational |
| 4.9.189825 | 4 | 9 | 42 | 288 | ✗ | all but 2 | 1 | rational |
| 4.9.189818 | 4 | 9 | 47 | 72 | ✗ | all but 2 | 1 | rational |
| 4.9.189810 | 4 | 9 | 16 | 32 | ✗ | all | 1 | rational |
| 4.9.189793 | 4 | 9 | 35 | 96 | ✗ | all | 1 | rational |
| 4.9.189787 | 4 | 9 | 41 | 288 | ✗ | all | 1 | rational |
| 4.9.189782 | 4 | 9 | 25 | 8 | ✗ | all | 1 | rational |
| 4.9.189772 | 4 | 9 | 20 | 32 | ✗ | all | 1 | rational |
| 4.9.189769 | 4 | 9 | 24 | 32 | ✗ | all but 2 | 1 | rational |
| 4.9.189760 | 4 | 9 | 32 | 16 | ✗ | all but 2 | 1 | rational |
| 4.9.189759 | 4 | 9 | 33 | 16 | ✗ | all | 1 | rational |
| 4.9.189753 | 4 | 9 | 33 | 16 | ✗ | all | 1 | rational |
| 4.9.189747 | 4 | 9 | 35 | 8 | ✗ | all | 1 | rational |
| 4.9.189732 | 4 | 9 | 42 | 16 | ✗ | all | 1 | rational |