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6,657,451 matroids, showing 2,901–2,950
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.9885 | 3 | 10 | 25 | 48 | ✗ | all | 3 | rational |
| 3.10.9888 | 3 | 10 | 21 | 144 | ✗ | all | 3 | rational |
| 3.10.9890 | 3 | 10 | 23 | 144 | ✗ | all | 3 | rational |
| 3.10.9892 | 3 | 10 | 21 | 144 | ✗ | all | 3 | rational |
| 3.10.9895 | 3 | 10 | 20 | 96 | ✗ | all | 3 | rational |
| 3.10.9898 | 3 | 10 | 16 | 1152 | ✗ | all but 2 | 3 | rational |
| 3.10.9907 | 3 | 10 | 24 | 5760 | ✗ | all | 3 | rational |
| 3.10.9908 | 3 | 10 | 29 | 480 | ✗ | all | 3 | rational |
| 3.10.9909 | 3 | 10 | 28 | 240 | ✗ | all | 3 | rational |
| 3.10.9917 | 3 | 10 | 20 | 384 | ✗ | all | 3 | rational |
| 3.10.9924 | 3 | 10 | 16 | 288 | ✗ | all | 3 | rational |
| 3.10.9935 | 3 | 10 | 9 | 1440 | ✗ | all | 3 | rational |
| 3.10.9936 | 3 | 10 | 8 | 960 | ✗ | all | 3 | rational |
| 3.10.9940 | 3 | 10 | 18 | 4320 | ✗ | all | 3 | rational |
| 3.10.9943 | 3 | 10 | 13 | 864 | ✗ | all | 3 | rational |
| 3.10.9945 | 3 | 10 | 10 | 864 | ✗ | all | 3 | rational |
| 3.10.9946 | 3 | 10 | 9 | 864 | ✗ | all | 3 | rational |
| 3.10.9947 | 3 | 10 | 7 | 1440 | ✗ | all | 3 | rational |
| 3.10.9955 | 3 | 10 | 28 | 40320 | ✗ | all | 3 | rational |
| 3.10.9957 | 3 | 10 | 32 | 288 | ✗ | all | 3 | rational |
| 3.10.9961 | 3 | 10 | 29 | 144 | ✗ | all | 3 | rational |
| 3.10.9962 | 3 | 10 | 27 | 1296 | ✗ | all | 3 | rational |
| 3.10.9969 | 3 | 10 | 29 | 288 | ✗ | all | 3 | rational |
| 3.10.9970 | 3 | 10 | 28 | 192 | ✗ | all | 3 | rational |
| 3.10.9975 | 3 | 10 | 24 | 72 | ✗ | all | 3 | rational |
| 3.10.9982 | 3 | 10 | 15 | 4320 | ✗ | all | 3 | rational |
| 3.10.9983 | 3 | 10 | 26 | 2880 | ✗ | all | 3 | rational |
| 3.10.9984 | 3 | 10 | 25 | 480 | ✗ | all | 3 | rational |
| 3.10.9985 | 3 | 10 | 24 | 960 | ✗ | all | 3 | rational |
| 3.10.9987 | 3 | 10 | 20 | 2880 | ✗ | all | 3 | rational |
| 3.10.9988 | 3 | 10 | 22 | 576 | ✗ | all | 3 | rational |
| 3.10.9995 | 3 | 10 | 16 | 96 | ✗ | all | 3 | rational |
| 3.10.10000 | 3 | 10 | 10 | 2880 | ✗ | all | 3 | rational |
| 3.10.10008 | 3 | 10 | 14 | 96 | ✗ | all | 3 | rational |
| 3.10.10012 | 3 | 10 | 9 | 432 | ✗ | all | 3 | rational |
| 3.10.10014 | 3 | 10 | 8 | 192 | ✗ | all | 3 | rational |
| 3.10.10015 | 3 | 10 | 6 | 2880 | ✗ | all | 3 | rational |
| 3.10.10016 | 3 | 10 | 15 | 10080 | ✗ | all | 3 | rational |
| 3.10.10020 | 3 | 10 | 11 | 480 | ✗ | all | 3 | rational |
| 3.10.10024 | 3 | 10 | 7 | 288 | ✗ | all | 3 | rational |
| 3.10.10027 | 3 | 10 | 4 | 960 | ✗ | all | 3 | rational |
| 3.10.10036 | 3 | 10 | 1 | 30240 | ✗ | all | 3 | rational |
| 3.11.1065 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.1850 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.1900 | 3 | 11 | 154 | 2 | ✓ | all | 3 | rational |
| 3.11.1997 | 3 | 11 | 154 | 2 | ✓ | all | 3 | Calabi-Yau threefold (elliptic over P^1 x P^1, K trivial; kappa = 0, not rational) |
| 3.11.2183 | 3 | 11 | 154 | 2 | ✓ | all | 3 | Calabi-Yau threefold (elliptic over P^1 x P^1, K trivial; kappa = 0, not rational) |
| 3.11.2185 | 3 | 11 | 154 | 1 | ✓ | all | 3 | Calabi-Yau threefold (elliptic over P^1 x P^1, K trivial; kappa = 0, not rational) |
| 3.11.2192 | 3 | 11 | 154 | 2 | ✓ | all | 3 | Calabi-Yau threefold (elliptic over P^1 x P^1, K trivial; kappa = 0, not rational) |
| 3.11.2198 | 3 | 11 | 154 | 1 | ✓ | all | 3 | rational |