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1,370,644 matroids, showing 551–600
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.10.4947 | 3 | 10 | 102 | 2 | ✓ | all | 5 | empty |
| 3.10.4950 | 3 | 10 | 99 | 4 | ✓ | all | 5 | empty |
| 3.10.4979 | 3 | 10 | 110 | 2880 | ✗ | all | 5 | rational |
| 3.10.4991 | 3 | 10 | 107 | 4 | ✗ | all | 5 | rational |
| 3.10.4995 | 3 | 10 | 106 | 4 | ✗ | all | 5 | rational |
| 3.10.5029 | 3 | 10 | 105 | 8 | ✗ | all | 5 | rational |
| 3.10.5031 | 3 | 10 | 104 | 4 | ✗ | all | 5 | rational |
| 3.10.5046 | 3 | 10 | 107 | 4 | ✗ | all | 5 | rational |
| 3.10.5047 | 3 | 10 | 106 | 2 | ✗ | all | 5 | rational |
| 3.10.5056 | 3 | 10 | 106 | 4 | ✗ | all | 5 | rational |
| 3.10.5065 | 3 | 10 | 105 | 2 | ✗ | all | 5 | rational |
| 3.10.5089 | 3 | 10 | 106 | 2 | ✗ | all | 5 | rational |
| 3.10.5094 | 3 | 10 | 105 | 2 | ✗ | all | 5 | rational |
| 3.10.5100 | 3 | 10 | 104 | 4 | ✗ | all | 5 | rational |
| 3.10.5105 | 3 | 10 | 104 | 4 | ✗ | all | 5 | rational |
| 3.10.5107 | 3 | 10 | 103 | 4 | ✗ | all | 5 | rational |
| 3.10.5131 | 3 | 10 | 102 | 24 | ✗ | all | 5 | rational over Q(a)/(a^2 - a + 1) |
| 3.10.5176 | 3 | 10 | 104 | 4 | ✗ | all | 5 | rational |
| 3.10.5183 | 3 | 10 | 102 | 2 | ✗ | all | 5 | rational |
| 3.10.5204 | 3 | 10 | 100 | 12 | ✗ | all | 5 | empty |
| 3.10.5233 | 3 | 10 | 104 | 16 | ✗ | all | 5 | rational |
| 3.10.5244 | 3 | 10 | 105 | 4 | ✗ | all | 5 | rational |
| 3.10.5248 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5284 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5291 | 3 | 10 | 106 | 4 | ✗ | all | 5 | rational |
| 3.10.5293 | 3 | 10 | 105 | 4 | ✗ | all | 5 | rational |
| 3.10.5316 | 3 | 10 | 102 | 4 | ✗ | all | 5 | rational |
| 3.10.5318 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5330 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5340 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5346 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5359 | 3 | 10 | 103 | 4 | ✗ | all | 5 | rational |
| 3.10.5377 | 3 | 10 | 104 | 16 | ✗ | all | 5 | rational |
| 3.10.5382 | 3 | 10 | 105 | 2 | ✗ | all | 5 | rational |
| 3.10.5394 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5398 | 3 | 10 | 102 | 8 | ✗ | all | 5 | rational |
| 3.10.5401 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5420 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5422 | 3 | 10 | 102 | 8 | ✗ | all | 5 | rational |
| 3.10.5425 | 3 | 10 | 104 | 4 | ✗ | all | 5 | rational |
| 3.10.5430 | 3 | 10 | 102 | 2 | ✗ | all | 5 | rational |
| 3.10.5439 | 3 | 10 | 105 | 8 | ✗ | all | 5 | rational |
| 3.10.5466 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5467 | 3 | 10 | 104 | 2 | ✗ | all | 5 | rational |
| 3.10.5473 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5476 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5487 | 3 | 10 | 102 | 2 | ✗ | all | 5 | rational |
| 3.10.5490 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5493 | 3 | 10 | 103 | 2 | ✗ | all | 5 | rational |
| 3.10.5500 | 3 | 10 | 101 | 2 | ✗ | all | 5 | rational |