Question: Selecting points in C^n with norm 1

Hello, I want to create a list to store the points in C^n with norm 1. The motivation is to use this set of points as a domain to view the image of functions like <x, Ax> (so, x has norm 1).

If it's not possible to store an infinite list, is there anyway to store an albeit large finite list so as to have a good number points in C^n norm 1 spread about evenly?

 

Thanks

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