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38 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.6.03620720✓all4rational
3.6.1361936✓all3rational
3.6.2361872✓all2rational
3.6.336188✓all2rational
3.6.436176✓all1rational
3.6.5361624✓all0rational
3.6.6361648✗all0rational
3.6.7361512✗all0rational
3.6.83610120✗all0rational
3.6.9361648✓all2rational
3.6.10361512✓all1rational
3.6.11361248✗all2rational
3.6.1236148✗all0rational
3.6.1336134✗all2rational
3.6.14361216✗all0rational
3.6.15361216✗all1rational
3.6.1636108✗all2rational
3.6.1736848✗all1rational
3.6.1836912✗all0rational
3.6.193688✗all1rational
3.6.20361036✗all0rational
3.6.2136936✗all0rational
3.6.2236712✗all1rational
3.6.2336612✗all0rational
3.6.2436448✗all0rational
3.6.253610120✓all0rational
3.6.2636912✗all1rational
3.6.273688✗all1rational
3.6.2836624✗all0rational
3.6.2936712✗all0rational
3.6.3036612✗all0rational
3.6.313654✗all0rational
3.6.323648✗all0rational
3.6.3336312✗all0rational
3.6.3436448✗all0rational
3.6.3536312✗all0rational
3.6.363628✗all0rational
3.6.3736136✗all0rational