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5,700,971 matroids, showing 301–350
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.9.1190 | 3 | 9 | 16 | 192 | ✗ | all | 1 | rational |
| 3.9.1192 | 3 | 9 | 18 | 24 | ✗ | all | 1 | rational |
| 3.9.1195 | 3 | 9 | 15 | 48 | ✗ | all | 1 | rational |
| 3.9.1200 | 3 | 9 | 12 | 96 | ✗ | all | 1 | rational |
| 3.9.1203 | 3 | 9 | 8 | 288 | ✗ | all | 1 | rational |
| 3.9.1206 | 3 | 9 | 19 | 4320 | ✗ | all | 1 | rational |
| 3.9.1216 | 3 | 9 | 4 | 2880 | ✗ | all | 1 | rational |
| 3.9.1221 | 3 | 9 | 24 | 384 | ✗ | all | 1 | rational |
| 3.9.1222 | 3 | 9 | 21 | 5040 | ✗ | all | 1 | rational |
| 3.9.1240 | 3 | 9 | 15 | 72 | ✗ | all | 1 | rational |
| 3.9.1241 | 3 | 9 | 14 | 96 | ✗ | all | 1 | rational |
| 3.9.1262 | 3 | 9 | 8 | 96 | ✗ | all but 2 | 1 | rational |
| 3.9.1266 | 3 | 9 | 4 | 192 | ✗ | all | 1 | rational |
| 3.9.1273 | 3 | 9 | 2 | 480 | ✗ | all | 1 | rational |
| 3.10.636 | 3 | 10 | 112 | 1 | ✓ | all but 2 | 1 | rational |
| 3.10.640 | 3 | 10 | 112 | 1 | ✓ | all but 2 | 1 | rational |
| 3.10.804 | 3 | 10 | 111 | 2 | ✓ | all | 1 | rational |
| 3.10.890 | 3 | 10 | 110 | 4 | ✓ | all | 1 | rational |
| 3.10.900 | 3 | 10 | 110 | 1 | ✓ | all | 1 | rational |
| 3.10.902 | 3 | 10 | 109 | 1 | ✓ | all | 1 | genus 1 curve (11a3) |
| 3.10.909 | 3 | 10 | 112 | 4 | ✓ | all | 1 | rational |
| 3.10.910 | 3 | 10 | 111 | 2 | ✓ | all | 1 | rational |
| 3.10.913 | 3 | 10 | 110 | 4 | ✓ | all | 1 | rational |
| 3.10.915 | 3 | 10 | 110 | 2 | ✓ | all | 1 | rational |
| 3.10.916 | 3 | 10 | 110 | 1 | ✓ | all | 1 | rational |
| 3.10.925 | 3 | 10 | 112 | 6 | ✓ | all but 2 | 1 | rational |
| 3.10.930 | 3 | 10 | 111 | 2 | ✓ | all | 1 | rational |
| 3.10.971 | 3 | 10 | 110 | 36 | ✓ | all | 1 | rational |
| 3.10.972 | 3 | 10 | 112 | 6 | ✓ | all | 1 | rational |
| 3.10.974 | 3 | 10 | 111 | 2 | ✓ | all | 1 | rational |
| 3.10.975 | 3 | 10 | 111 | 2 | ✓ | all | 1 | rational |
| 3.10.976 | 3 | 10 | 110 | 2 | ✓ | all | 1 | rational |
| 3.10.977 | 3 | 10 | 110 | 2 | ✓ | all | 1 | rational |
| 3.10.1008 | 3 | 10 | 108 | 432 | ✓ | all | 1 | rational over Q(a)/(a^2 - a + 1) |
| 3.10.1016 | 3 | 10 | 114 | 8 | ✓ | all | 1 | rational |
| 3.10.1018 | 3 | 10 | 113 | 8 | ✓ | all | 1 | rational |
| 3.10.1025 | 3 | 10 | 112 | 8 | ✓ | all | 1 | rational |
| 3.10.1280 | 3 | 10 | 111 | 2 | ✓ | all | 1 | rational |
| 3.10.1281 | 3 | 10 | 110 | 4 | ✓ | all | 1 | rational |
| 3.10.1302 | 3 | 10 | 112 | 1 | ✓ | all | 1 | rational |
| 3.10.1303 | 3 | 10 | 112 | 2 | ✓ | all | 1 | rational |
| 3.10.1305 | 3 | 10 | 111 | 1 | ✓ | all | 1 | rational |
| 3.10.1308 | 3 | 10 | 111 | 2 | ✓ | all but 3 | 1 | rational |
| 3.10.1309 | 3 | 10 | 111 | 1 | ✓ | all | 1 | rational |
| 3.10.1319 | 3 | 10 | 111 | 2 | ✓ | all | 1 | rational |
| 3.10.1409 | 3 | 10 | 110 | 1 | ✓ | all | 1 | rational |
| 3.10.1416 | 3 | 10 | 109 | 2 | ✓ | all | 1 | rational |
| 3.10.1417 | 3 | 10 | 111 | 1 | ✓ | all | 1 | rational |
| 3.10.1449 | 3 | 10 | 112 | 24 | ✓ | all | 1 | rational |
| 3.10.1451 | 3 | 10 | 110 | 2 | ✓ | all | 1 | rational |