First, find the n nth roots of unity.
eg if n = 6, find the n distinct (complex) numbers such that n^6 = 1.
Second, raise each root to the power pi (.^pi).
Third, sum the resulting numbers and use that as the output.
Surely I shouldn't done this ugly string thing, that is bad for everyone. Without any doubt, Tim's solution is the best one
Back to basics 10 - Max Float
factorial of a number x
Find left eigenvector of row stochastic matrix
Find argmax of a function
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