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25 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.555193111521✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1492013111501✓all but 23rational over Q(a)/(a^2 - a + 2)
3.11.1506303111511✓all but 22rational over Q(a)/(a^2 - a + 2)
3.11.1506313111501✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1506323111501✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1506333111501✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1506343111501✓all but 22rational over Q(a)/(a^2 - a + 2)
3.11.1506373111501✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1506403111501✓∅-1rational over Q(a)/(a^2 - a + 2)
3.11.1506443111481✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1506483111501✓all but 22rational over Q(a)/(a^2 - a + 2)
3.11.1506583111501✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1507663111501✓∅-1rational over Q(a)/(a^2 - a + 2)
3.11.1615863111481✓all2rational over Q(a)/(a^2 - a + 2)
3.11.1637633111481✓all4rational over Q(a)/(a^2 - a + 2)
3.11.1649423111481✓all2rational over Q(a)/(a^2 - a + 2)
3.11.1667233111481✓all3rational over Q(a)/(a^2 - a + 2)
3.11.1914953111481✓all but 24rational over Q(a)/(a^2 - a + 2)
3.11.1918483111481✓all but 22rational over Q(a)/(a^2 - a + 2)
3.11.1925513111481✓all but 21rational over Q(a)/(a^2 - a + 2)
3.11.1925773111481✓all but 22rational over Q(a)/(a^2 - a + 2)
3.11.2040383111481✓all but 24rational over Q(a)/(a^2 - a + 2)
3.11.2566803111451✓all4rational over Q(a)/(a^2 - a + 2)
4.9.48224491151✓all1rational over Q(a)/(a^2 - a + 2)
4.9.84611491151✓∅-1rational over Q(a)/(a^2 - a + 2)