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6 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.479823111521✓all1genus 1 curve (38b1)
3.11.480193111521✓all but 21genus 1 curve (38b1)
3.11.521323111521✓all but 21genus 1 curve (38b1)
3.11.522173111521✓all1genus 1 curve (38b1)
3.11.522283111521✓all1genus 1 curve (38b1)
3.11.1409703111501✓all2genus 1 curve (38b1)