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20 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.9.15639778✓{2}-1rational
3.9.1803978192✓{2}-1rational
3.9.18139761152✓{2}-1rational
3.9.19539778✓{2}-1rational
3.9.32639734✓{2}-1rational
3.9.32739724✓{2}-1rational
3.9.37939718✗{2}-1rational
3.9.38639712✗{2}-1rational
3.9.56539502✗{2}-1rational
3.9.56939498✗{2}-1rational
3.9.589397396✓{2}-1rational
3.9.599397048✓{3}-1rational
3.9.601397012✓{2}-1rational
3.9.65239674✗{2}-1rational
3.9.71039634✗{2}-1rational
3.9.79939576✗{2}-1rational
3.9.825395212✗{2}-1rational
3.9.85739444✗{2}-1rational
3.9.1185392348✗{2}-1rational
3.9.125539848✗{2}-1rational