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9 matroids

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.522303111521✓all but 21genus 1 curve (26b1)
3.11.554123111521✓all but 21genus 1 curve (26b1)
3.11.554803111521✓all but 21genus 1 curve (26b1)
3.11.554993111521✓all but 21genus 1 curve (26b1)
3.11.555353111521✓all but 21genus 1 curve (26b1)
3.11.555763111521✓all but 21genus 1 curve (26b1)
3.11.1473963111501✓all but 22genus 1 curve (26b1)
3.11.1483643111501✓all but 23genus 1 curve (26b1)
4.9.45011491151✓all but 20genus 1 curve (26b1)