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1.1 root 1: n
2: pi = 4*atan(1);
3: i = sqrt(-1);
4: w = exp(2*pi*i/n);
5: F = <>;
6: for k = 1:n, for j = 1:n, F(k,j) = w**((j-1)*(k-1));
7: F = F/sqrt(n);
8: alfa = r*pi;
9: rho = exp(i*alfa);
10: S = log(rho*F)/i - alfa*EYE;
11: serr = norm(imag(S),1);
12: S = real(S);
13: serr = serr + norm(S-S',1)
14: S = (S + S')/2;
15: ferr = norm(F-exp(i*S),1)
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