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32,400,859 matroids, showing 20,151–20,200
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.170063 | 4 | 9 | 108 | 24 | ✓ | all | 4 | rational |
| 4.9.170062 | 4 | 9 | 110 | 12 | ✓ | all | 4 | rational |
| 4.9.170061 | 4 | 9 | 111 | 24 | ✓ | all | 2 | rational |
| 4.9.170060 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.170059 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170058 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170057 | 4 | 9 | 106 | 1 | ✓ | all | 4 | rational |
| 4.9.170056 | 4 | 9 | 106 | 1 | ✓ | all | 1 | rational |
| 4.9.170055 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.170054 | 4 | 9 | 105 | 1 | ✓ | all | 2 | point over Q(a)/(a^2 - a + 1) |
| 4.9.170053 | 4 | 9 | 105 | 1 | ✓ | all | 5 | point over Q(a)/(a^3 - a^2 + 1) |
| 4.9.170052 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.170051 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170050 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 - a + 1) |
| 4.9.170049 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170048 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.170047 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational |
| 4.9.170046 | 4 | 9 | 104 | 1 | ✓ | all | 5 | empty |
| 4.9.170045 | 4 | 9 | 104 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.170044 | 4 | 9 | 105 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.170043 | 4 | 9 | 105 | 1 | ✓ | all | 4 | empty |
| 4.9.170042 | 4 | 9 | 105 | 1 | ✓ | all | 4 | rational |
| 4.9.170041 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.170040 | 4 | 9 | 105 | 1 | ✓ | all | 5 | point over Q(a)/(a^2 - a + 1) |
| 4.9.170039 | 4 | 9 | 105 | 1 | ✓ | all | 2 | point over Q(a)/(a^2 + 1) |
| 4.9.170038 | 4 | 9 | 106 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.170037 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | point over Q(a)/(a^2 + 1) |
| 4.9.170036 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170035 | 4 | 9 | 106 | 1 | ✓ | all | 5 | rational |
| 4.9.170034 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.170033 | 4 | 9 | 107 | 1 | ✓ | all | 4 | rational |
| 4.9.170032 | 4 | 9 | 105 | 1 | ✓ | all | 3 | empty |
| 4.9.170031 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170030 | 4 | 9 | 105 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170029 | 4 | 9 | 106 | 1 | ✓ | all | 5 | rational |
| 4.9.170028 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.170027 | 4 | 9 | 105 | 1 | ✓ | all | 3 | rational |
| 4.9.170026 | 4 | 9 | 106 | 1 | ✓ | all | 1 | rational |
| 4.9.170025 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.170024 | 4 | 9 | 106 | 1 | ✓ | all | 4 | rational |
| 4.9.170023 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.170022 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.170021 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.170020 | 4 | 9 | 106 | 1 | ✓ | all but 2,3,5 | 0 | rational |
| 4.9.170019 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.170018 | 4 | 9 | 106 | 1 | ✓ | all | 2 | rational |
| 4.9.170017 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170016 | 4 | 9 | 106 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.170015 | 4 | 9 | 106 | 1 | ✓ | all | 3 | rational |
| 4.9.170014 | 4 | 9 | 107 | 1 | ✓ | all but 2,3 | 0 | rational |