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6 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.259543111541✓all3genus 1 curve (11a3) x P^2
3.11.261213111541✓all3genus 1 curve (11a3) x P^2
3.11.466073111541✓all3genus 1 curve (11a3) x P^2
3.11.1127223111521✓all4genus 1 curve (11a3) x P^2
3.11.1141763111521✓all1genus 1 curve (11a3) x P^2
3.11.1278453111521✓all1genus 1 curve (11a3) x P^2