n = 5 (m = 2): trajectories parallel to the side X_0 X_(n-1); exact arithmetic in Q(zeta_10)
j= 1  simple preclosed piece: 2 segments, length 2.6180 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  1 = -4j mod n; factor  5 = n/gcd(n,j); closed trajectory: 10 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 2  simple preclosed piece: 2 segments, length 1.6180 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  2 = -4j mod n; factor  5 = n/gcd(n,j); closed trajectory: 10 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
factors d_1..d_m: [5, 5] ; gcd = 5 ; a quotient equals n: False
DONE [0.0s]
