L-tables, unfolded into Swiss crosses, give genus 2 surfaces with a single cone point. The following pictures all come from surfaces with lattice Veech groups (by the McMullen/Calta classification); the corresponding L-table comes from a square with side length a = (1+sqrt(d))/2, from which a corner square has been cut, leaving two sides of length 1.

d=3

d=5

d=6

d=7

d=10

d=11

d=13

d=14

d=15

d=17

d=19

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