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let (1+ri)^3=x+iy
argument of x+iy=3*arctan(3)
argument of S(1+i)=(pi/4)+(n*pi), where n is ANY integer
3arctan(r)=pi/4 +n*pi
arctan(r)=(pi/12)+(n/3)*pi
r=tan((pi/12)+(n*pi/3)), for ANY INTEGER n
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