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31,899,134 matroids, showing 1–50
| label ▲ | rank ⇅ | n ⇅ | #bases ⇅ | #automorphisms ⇅ | simple ⇅ | char set ⇅ | rs dim ⇅ | birational type ⇅ |
|---|---|---|---|---|---|---|---|---|
| 3.12.0 | 3 | 12 | 220 | 479001600 | ✓ | all | 16 | ? |
| 3.12.1 | 3 | 12 | 219 | 2177280 | ✓ | ∅ | -1 | ? |
| 3.12.2 | 3 | 12 | 218 | 51840 | ✓ | all | 2 | ? |
| 3.12.3 | 3 | 12 | 217 | 7776 | ✓ | all | 4 | ? |
| 3.12.4 | 3 | 12 | 216 | 31104 | ✓ | all | 3 | ? |
| 3.12.5 | 3 | 12 | 218 | 40320 | ✓ | all | 4 | ? |
| 3.12.6 | 3 | 12 | 217 | 1152 | ✓ | all | 5 | ? |
| 3.12.7 | 3 | 12 | 216 | 576 | ✓ | all | 3 | ? |
| 3.12.8 | 3 | 12 | 216 | 256 | ✓ | ∅ | -1 | ? |
| 3.12.9 | 3 | 12 | 217 | 960 | ✓ | all | 4 | ? |
| 3.12.10 | 3 | 12 | 216 | 96 | ✓ | all | 4 | ? |
| 3.12.11 | 3 | 12 | 215 | 64 | ✓ | all | 15 | ? |
| 3.12.12 | 3 | 12 | 216 | 48 | ✓ | all | 2 | ? |
| 3.12.13 | 3 | 12 | 215 | 48 | ✓ | all but 2 | 1 | ? |
| 3.12.14 | 3 | 12 | 215 | 8 | ✓ | all | 5 | ? |
| 3.12.15 | 3 | 12 | 214 | 12 | ✓ | all | 1 | ? |
| 3.12.16 | 3 | 12 | 215 | 20 | ✓ | all | 14 | ? |
| 3.12.17 | 3 | 12 | 216 | 288 | ✓ | all | 4 | ? |
| 3.12.18 | 3 | 12 | 215 | 288 | ✓ | all | 4 | ? |
| 3.12.19 | 3 | 12 | 215 | 16 | ✓ | all but 2,3,5 | 0 | ? |
| 3.12.20 | 3 | 12 | 214 | 4 | ✓ | all | 2 | ? |
| 3.12.21 | 3 | 12 | 216 | 192 | ✓ | all but 2 | 1 | ? |
| 3.12.22 | 3 | 12 | 215 | 48 | ✓ | ? | ? | ? |
| 3.12.23 | 3 | 12 | 215 | 8 | ✓ | all | 3 | ? |
| 3.12.24 | 3 | 12 | 214 | 4 | ✓ | all | 4 | ? |
| 3.12.25 | 3 | 12 | 214 | 16 | ✓ | all but 2 | 1 | ? |
| 3.12.26 | 3 | 12 | 214 | 8 | ✓ | all | 13 | ? |
| 3.12.27 | 3 | 12 | 214 | 4 | ✓ | all | 2 | ? |
| 3.12.28 | 3 | 12 | 214 | 4 | ✓ | all | 2 | ? |
| 3.12.29 | 3 | 12 | 213 | 2 | ✓ | all | 4 | ? |
| 3.12.30 | 3 | 12 | 212 | 16 | ✓ | all | 4 | ? |
| 3.12.31 | 3 | 12 | 213 | 6 | ✓ | all | 2 | ? |
| 3.12.32 | 3 | 12 | 212 | 48 | ✓ | all | 1 | ? |
| 3.12.33 | 3 | 12 | 215 | 72 | ✓ | all | 3 | ? |
| 3.12.34 | 3 | 12 | 214 | 72 | ✓ | all | 4 | ? |
| 3.12.35 | 3 | 12 | 214 | 8 | ✓ | all | 1 | ? |
| 3.12.36 | 3 | 12 | 213 | 4 | ✓ | all | 3 | ? |
| 3.12.37 | 3 | 12 | 214 | 16 | ✓ | all | 1 | ? |
| 3.12.38 | 3 | 12 | 213 | 8 | ✓ | all | 4 | ? |
| 3.12.39 | 3 | 12 | 213 | 8 | ✓ | all | 2 | ? |
| 3.12.40 | 3 | 12 | 214 | 432 | ✓ | all | 3 | ? |
| 3.12.41 | 3 | 12 | 213 | 432 | ✓ | all | 4 | ? |
| 3.12.42 | 3 | 12 | 217 | 5760 | ✓ | all | 4 | ? |
| 3.12.43 | 3 | 12 | 216 | 576 | ✓ | all | 7 | ? |
| 3.12.44 | 3 | 12 | 215 | 384 | ✓ | all | 4 | ? |
| 3.12.45 | 3 | 12 | 216 | 96 | ✓ | all | 6 | ? |
| 3.12.46 | 3 | 12 | 215 | 96 | ✓ | all but 2,3,7 | 0 | ? |
| 3.12.47 | 3 | 12 | 215 | 16 | ✓ | all | 4 | ? |
| 3.12.48 | 3 | 12 | 215 | 16 | ✓ | all | 2 | ? |
| 3.12.49 | 3 | 12 | 214 | 4 | ✓ | all | 4 | ? |