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1,370,644 matroids, showing 12,951–13,000
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.11.115197 | 3 | 11 | 153 | 1 | ✓ | all | 5 | rational |
| 3.11.115224 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.115333 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115440 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.115551 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.115661 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115662 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115663 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115664 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.115665 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115669 | 3 | 11 | 151 | 1 | ✓ | all | 5 | K3 surface |
| 3.11.115676 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115690 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.115708 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.115731 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115755 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.115841 | 3 | 11 | 150 | 1 | ✓ | all | 5 | rational |
| 3.11.116012 | 3 | 11 | 150 | 1 | ✓ | all | 5 | rational |
| 3.11.116240 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116518 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116519 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.116524 | 3 | 11 | 151 | 2 | ✓ | all | 5 | rational |
| 3.11.116530 | 3 | 11 | 153 | 1 | ✓ | all | 5 | rational |
| 3.11.116553 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.116587 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.116588 | 3 | 11 | 153 | 1 | ✓ | all | 5 | rational |
| 3.11.116589 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116590 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116591 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116592 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116593 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116598 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.116627 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.116692 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.116860 | 3 | 11 | 150 | 1 | ✓ | all | 5 | rational over Q(a)/(a^3 - a^2 + 1) |
| 3.11.117176 | 3 | 11 | 150 | 1 | ✓ | all | 5 | rational |
| 3.11.117667 | 3 | 11 | 153 | 1 | ✓ | all | 5 | rational |
| 3.11.117792 | 3 | 11 | 151 | 2 | ✓ | all | 5 | rational |
| 3.11.117793 | 3 | 11 | 150 | 1 | ✓ | all | 5 | empty |
| 3.11.117794 | 3 | 11 | 150 | 2 | ✓ | all | 5 | empty |
| 3.11.117795 | 3 | 11 | 150 | 2 | ✓ | all | 5 | empty |
| 3.11.117796 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.117797 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.117798 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.117812 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.117874 | 3 | 11 | 152 | 1 | ✓ | all | 5 | rational |
| 3.11.118020 | 3 | 11 | 151 | 1 | ✓ | all | 5 | rational |
| 3.11.118263 | 3 | 11 | 150 | 1 | ✓ | all | 5 | rational |
| 3.11.118664 | 3 | 11 | 150 | 1 | ✓ | all | 5 | rational |
| 3.11.118846 | 3 | 11 | 151 | 2 | ✓ | all | 5 | rational |