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5,700,971 matroids, showing 101–150
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.8.314 | 3 | 8 | 7 | 24 | ✗ | all | 1 | rational |
| 3.8.318 | 3 | 8 | 3 | 144 | ✗ | all | 1 | rational |
| 3.8.322 | 3 | 8 | 3 | 72 | ✗ | all | 1 | rational |
| 3.8.324 | 3 | 8 | 1 | 720 | ✗ | all | 1 | rational |
| 3.9.78 | 3 | 9 | 77 | 2 | ✓ | all | 1 | rational |
| 3.9.81 | 3 | 9 | 77 | 2 | ✓ | all but 2 | 1 | rational |
| 3.9.103 | 3 | 9 | 74 | 36 | ✓ | all | 1 | rational |
| 3.9.105 | 3 | 9 | 75 | 6 | ✓ | all | 1 | rational |
| 3.9.107 | 3 | 9 | 75 | 12 | ✓ | all | 1 | rational over Q(a)/(a^2 - a + 1) |
| 3.9.111 | 3 | 9 | 80 | 144 | ✓ | all | 1 | rational |
| 3.9.150 | 3 | 9 | 75 | 2 | ✓ | all | 1 | rational |
| 3.9.151 | 3 | 9 | 74 | 6 | ✓ | all | 1 | point over Q(a)/(a^2 + 1) |
| 3.9.152 | 3 | 9 | 74 | 12 | ✓ | all but 2 | 1 | empty |
| 3.9.154 | 3 | 9 | 77 | 12 | ✓ | all but 2 | 1 | rational |
| 3.9.165 | 3 | 9 | 75 | 144 | ✗ | all but 2 | 1 | rational |
| 3.9.168 | 3 | 9 | 74 | 96 | ✗ | all but 2 | 1 | rational |
| 3.9.169 | 3 | 9 | 74 | 12 | ✗ | all | 1 | rational |
| 3.9.171 | 3 | 9 | 73 | 12 | ✗ | all | 1 | rational |
| 3.9.179 | 3 | 9 | 79 | 288 | ✓ | all but 2 | 1 | rational |
| 3.9.270 | 3 | 9 | 75 | 1 | ✓ | all | 1 | rational |
| 3.9.271 | 3 | 9 | 75 | 2 | ✓ | all | 1 | rational |
| 3.9.273 | 3 | 9 | 75 | 1 | ✓ | all | 1 | rational |
| 3.9.306 | 3 | 9 | 72 | 2 | ✓ | all | 1 | rational |
| 3.9.308 | 3 | 9 | 73 | 6 | ✓ | all | 1 | empty |
| 3.9.310 | 3 | 9 | 75 | 24 | ✓ | all | 1 | rational |
| 3.9.311 | 3 | 9 | 75 | 144 | ✓ | all | 1 | rational |
| 3.9.313 | 3 | 9 | 74 | 2 | ✓ | all | 1 | rational |
| 3.9.319 | 3 | 9 | 73 | 2 | ✓ | all but 2 | 1 | rational |
| 3.9.321 | 3 | 9 | 73 | 4 | ✓ | all but 2 | 1 | rational |
| 3.9.322 | 3 | 9 | 72 | 48 | ✓ | all but 2 | 1 | rational |
| 3.9.324 | 3 | 9 | 73 | 2 | ✓ | all but 2 | 1 | rational |
| 3.9.351 | 3 | 9 | 70 | 2 | ✓ | all | 1 | rational |
| 3.9.356 | 3 | 9 | 70 | 4 | ✓ | all but 2 | 1 | rational |
| 3.9.358 | 3 | 9 | 68 | 24 | ✓ | all | 1 | rational |
| 3.9.360 | 3 | 9 | 72 | 288 | ✗ | all | 1 | rational |
| 3.9.362 | 3 | 9 | 71 | 8 | ✗ | all | 1 | rational |
| 3.9.370 | 3 | 9 | 73 | 24 | ✗ | all | 1 | rational |
| 3.9.376 | 3 | 9 | 71 | 8 | ✗ | all | 1 | rational |
| 3.9.382 | 3 | 9 | 72 | 8 | ✗ | all | 1 | rational |
| 3.9.390 | 3 | 9 | 71 | 2 | ✗ | all | 1 | rational |
| 3.9.398 | 3 | 9 | 70 | 8 | ✗ | all | 1 | rational |
| 3.9.437 | 3 | 9 | 69 | 24 | ✗ | all | 1 | rational |
| 3.9.446 | 3 | 9 | 70 | 4 | ✗ | all | 1 | rational |
| 3.9.451 | 3 | 9 | 69 | 2 | ✗ | all | 1 | rational |
| 3.9.456 | 3 | 9 | 67 | 4 | ✗ | all | 1 | rational |
| 3.9.460 | 3 | 9 | 68 | 2 | ✗ | all | 1 | rational |
| 3.9.484 | 3 | 9 | 67 | 4 | ✗ | all | 1 | rational |
| 3.9.488 | 3 | 9 | 67 | 48 | ✗ | all | 1 | empty |
| 3.9.491 | 3 | 9 | 66 | 4 | ✗ | all | 1 | rational |
| 3.9.493 | 3 | 9 | 65 | 8 | ✗ | all | 1 | rational |