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5,700,971 matroids, showing 1,451–1,500
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.9689 | 3 | 10 | 39 | 96 | ✗ | all | 1 | rational |
| 3.10.9690 | 3 | 10 | 37 | 48 | ✗ | all | 1 | rational |
| 3.10.9698 | 3 | 10 | 34 | 96 | ✗ | all | 1 | rational |
| 3.10.9705 | 3 | 10 | 31 | 48 | ✗ | all but 2 | 1 | rational |
| 3.10.9715 | 3 | 10 | 25 | 24 | ✗ | all but 2 | 1 | rational |
| 3.10.9718 | 3 | 10 | 24 | 288 | ✗ | all | 1 | rational |
| 3.10.9722 | 3 | 10 | 19 | 864 | ✗ | all | 1 | rational |
| 3.10.9731 | 3 | 10 | 33 | 720 | ✗ | all | 1 | rational |
| 3.10.9745 | 3 | 10 | 62 | 2880 | ✗ | all | 1 | rational |
| 3.10.9747 | 3 | 10 | 60 | 2880 | ✗ | all | 1 | rational |
| 3.10.9770 | 3 | 10 | 53 | 144 | ✗ | all | 1 | rational |
| 3.10.9774 | 3 | 10 | 52 | 48 | ✗ | all | 1 | rational |
| 3.10.9792 | 3 | 10 | 38 | 96 | ✗ | all | 1 | rational |
| 3.10.9800 | 3 | 10 | 52 | 1152 | ✗ | all | 1 | rational |
| 3.10.9836 | 3 | 10 | 34 | 72 | ✗ | all | 1 | rational |
| 3.10.9851 | 3 | 10 | 20 | 1440 | ✗ | all | 1 | rational |
| 3.10.9902 | 3 | 10 | 33 | 1440 | ✗ | all | 1 | rational |
| 3.10.9912 | 3 | 10 | 25 | 480 | ✗ | all | 1 | rational |
| 3.10.9925 | 3 | 10 | 17 | 144 | ✗ | all | 1 | rational |
| 3.10.9926 | 3 | 10 | 15 | 144 | ✗ | all | 1 | rational |
| 3.10.9938 | 3 | 10 | 21 | 30240 | ✗ | all | 1 | rational |
| 3.10.9954 | 3 | 10 | 32 | 384 | ✗ | all | 1 | rational |
| 3.10.9959 | 3 | 10 | 30 | 288 | ✗ | all but 2 | 1 | rational |
| 3.10.9974 | 3 | 10 | 25 | 720 | ✗ | all | 1 | rational |
| 3.10.9994 | 3 | 10 | 17 | 48 | ✗ | all | 1 | rational |
| 3.10.9999 | 3 | 10 | 12 | 288 | ✗ | all | 1 | rational |
| 3.10.10021 | 3 | 10 | 10 | 480 | ✗ | all | 1 | rational |
| 3.10.10028 | 3 | 10 | 3 | 4320 | ✗ | all | 1 | rational |
| 3.10.10029 | 3 | 10 | 8 | 80640 | ✗ | all | 1 | rational |
| 3.10.10031 | 3 | 10 | 6 | 2880 | ✗ | all | 1 | rational |
| 3.11.11838 | 3 | 11 | 152 | 1 | ✓ | all | 1 | genus 1 curve (14a4) |
| 3.11.11907 | 3 | 11 | 152 | 2 | ✓ | all | 1 | genus 1 curve (15a8) |
| 3.11.12784 | 3 | 11 | 152 | 2 | ✓ | all but 3 | 1 | rational over Q(a)/(a^2 - a + 1) |
| 3.11.12958 | 3 | 11 | 152 | 3 | ✓ | all | 1 | rational |
| 3.11.12976 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.13460 | 3 | 11 | 152 | 2 | ✓ | all but 3 | 1 | rational |
| 3.11.13561 | 3 | 11 | 152 | 4 | ✓ | all | 1 | rational |
| 3.11.13580 | 3 | 11 | 152 | 2 | ✓ | all | 1 | genus 1 curve (15a8) |
| 3.11.13612 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.13686 | 3 | 11 | 152 | 1 | ✓ | all but 2 | 1 | rational |
| 3.11.13688 | 3 | 11 | 152 | 2 | ✓ | all but 2 | 1 | rational |
| 3.11.13690 | 3 | 11 | 152 | 8 | ✓ | all but 2 | 1 | rational over Q(a)/(a^2 - a - 1) |
| 3.11.14605 | 3 | 11 | 152 | 2 | ✓ | all but 2 | 1 | genus 1 curve (20a2) |
| 3.11.14606 | 3 | 11 | 152 | 2 | ✓ | all but 2 | 1 | rational |
| 3.11.14679 | 3 | 11 | 152 | 1 | ✓ | all | 1 | genus 1 curve (17a4) |
| 3.11.14682 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.15050 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.15328 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.15509 | 3 | 11 | 152 | 1 | ✓ | all | 1 | rational |
| 3.11.15517 | 3 | 11 | 152 | 1 | ✓ | all but 2 | 1 | rational |