n = 9 (m = 4): trajectories parallel to the side X_0 X_(n-1); exact arithmetic in Q(zeta_18)
j= 1  simple preclosed piece: 2 segments, length 3.5321 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  5 = -4j mod n; factor  9 = n/gcd(n,j); closed trajectory: 18 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 5.4115 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  1 = -4j mod n; factor  9 = n/gcd(n,j); closed trajectory: 18 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 3  simple preclosed piece: 2 segments, length 4.7588 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  6 = -4j mod n; factor  3 = n/gcd(n,j); closed trajectory: 6 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 4  simple preclosed piece: 2 segments, length 1.8794 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  2 = -4j mod n; factor  9 = n/gcd(n,j); closed trajectory: 18 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
factors d_1..d_m: [9, 9, 3, 9] ; gcd = 3 ; a quotient equals n: False
DONE [0.0s]
