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32,400,859 matroids, showing 17,101–17,150
| label ▼ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 4.9.173113 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173112 | 4 | 9 | 109 | 1 | ✓ | all but 2 | 1 | rational |
| 4.9.173111 | 4 | 9 | 109 | 1 | ✓ | all but 2,3,5 | 0 | rational |
| 4.9.173110 | 4 | 9 | 109 | 1 | ✓ | all | 3 | rational |
| 4.9.173109 | 4 | 9 | 109 | 1 | ✓ | all | 1 | empty |
| 4.9.173108 | 4 | 9 | 110 | 1 | ✓ | all | 2 | rational |
| 4.9.173107 | 4 | 9 | 106 | 4 | ✓ | all | 1 | empty |
| 4.9.173106 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173105 | 4 | 9 | 108 | 1 | ✓ | {2} | -1 | rational |
| 4.9.173104 | 4 | 9 | 108 | 2 | ✓ | all but 2,3 | 0 | rational |
| 4.9.173103 | 4 | 9 | 108 | 2 | ✓ | all | 3 | rational |
| 4.9.173102 | 4 | 9 | 108 | 2 | ✓ | all | 4 | rational |
| 4.9.173101 | 4 | 9 | 109 | 2 | ✓ | all | 2 | rational |
| 4.9.173100 | 4 | 9 | 106 | 2 | ✓ | all | 2 | rational |
| 4.9.173099 | 4 | 9 | 106 | 1 | ✓ | all | 3 | point over Q(a)/(a^2 - a + 1) |
| 4.9.173098 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational |
| 4.9.173097 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173096 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173095 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational |
| 4.9.173094 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173093 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173092 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173091 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational |
| 4.9.173090 | 4 | 9 | 108 | 1 | ✓ | all but 2,3 | 1 | rational |
| 4.9.173089 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173088 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173087 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.173086 | 4 | 9 | 106 | 1 | ✓ | all but 2,7 | 0 | rational |
| 4.9.173085 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173084 | 4 | 9 | 107 | 1 | ✓ | all | 2 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.173083 | 4 | 9 | 108 | 1 | ✓ | all | 2 | rational |
| 4.9.173082 | 4 | 9 | 107 | 1 | ✓ | all | 3 | rational |
| 4.9.173081 | 4 | 9 | 107 | 1 | ✓ | ∅ | -1 | empty |
| 4.9.173080 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.173079 | 4 | 9 | 107 | 1 | ✓ | all | 1 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.173078 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 2 | rational |
| 4.9.173077 | 4 | 9 | 107 | 1 | ✓ | all but 2,3,5,7 | 0 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.173076 | 4 | 9 | 108 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.173075 | 4 | 9 | 108 | 1 | ✓ | all | 4 | rational over Q(a)/(a^2 - a + 1) |
| 4.9.173074 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173073 | 4 | 9 | 109 | 1 | ✓ | all | 2 | rational |
| 4.9.173072 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.173071 | 4 | 9 | 107 | 1 | ✓ | all but 2 | 0 | rational |
| 4.9.173070 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173069 | 4 | 9 | 108 | 1 | ✓ | ∅ | -1 | rational |
| 4.9.173068 | 4 | 9 | 108 | 1 | ✓ | all | 3 | rational |
| 4.9.173067 | 4 | 9 | 109 | 1 | ✓ | all | 1 | rational |
| 4.9.173066 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |
| 4.9.173065 | 4 | 9 | 108 | 1 | ✓ | all but 2,3,5 | 0 | rational |
| 4.9.173064 | 4 | 9 | 108 | 1 | ✓ | all | 1 | rational |