The degrees of freedom I use in the datafiles are the lengths of the boundary edges of the fundamental region; starfish p-q has p+q-1 independent degrees of freedom, and there are p+q-1 gaps to eliminate. Unfortunately, the mapping from parameter space to gap space is sometimes highly nonlinear in the neighborhood of a solution, making finding the solution (if it even exists) difficult. And it means that there may be multiple solutions, although I have not found any yet.
For Surface Evolver datafiles, get starfish.tar and see Readme.txt therein.
|Starfish 2-1 genus 31 Buy||Starfish 2-2 genus 47||Starfish 2-3 genus 63||Starfish 2-4 genus 79|
|Starfish 3-1 genus 43||Starfish 3-2 genus 59||Starfish 3-3 genus 75||Starfish 3-4 genus 91|
|Starfish 4-1 genus 55||Starfish 4-2 genus 71 (fake)||Starfish 4-3 genus 87||Starfish 4-4 genus 103|
|Starfish 5-1 genus 67|| Starfish 5-2 genus 83
| Starfish 5-3 genus 99
|Starfish 5-4 genus 115|