n = 55 (m = 27): trajectories parallel to the side X_0 X_(n-1); exact arithmetic in Q(zeta_110)
j= 1  simple preclosed piece: 2 segments, length 3.9870 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 51 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 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 7.9220 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 47 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 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 11.7537 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 43 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 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 15.4321 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 39 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 5  simple preclosed piece: 2 segments, length 18.9095 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 35 = -4j mod n; factor 11 = n/gcd(n,j); closed trajectory: 22 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 6  simple preclosed piece: 2 segments, length 22.1402 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 31 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 7  simple preclosed piece: 2 segments, length 25.0824 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 27 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 8  simple preclosed piece: 2 segments, length 27.6976 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 23 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j= 9  simple preclosed piece: 2 segments, length 29.9517 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 19 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=10  simple preclosed piece: 2 segments, length 31.8153 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 15 = -4j mod n; factor 11 = n/gcd(n,j); closed trajectory: 22 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=11  simple preclosed piece: 2 segments, length 33.2642 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 11 = -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=12  simple preclosed piece: 2 segments, length 34.2794 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  7 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=13  simple preclosed piece: 2 segments, length 34.8477 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  3 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=14  simple preclosed piece: 2 segments, length 34.9617 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 54 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=15  simple preclosed piece: 2 segments, length 34.6200 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 50 = -4j mod n; factor 11 = n/gcd(n,j); closed trajectory: 22 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=16  simple preclosed piece: 2 segments, length 33.8269 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 46 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=17  simple preclosed piece: 2 segments, length 32.5929 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 42 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=18  simple preclosed piece: 2 segments, length 30.9339 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 38 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=19  simple preclosed piece: 2 segments, length 28.8717 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 34 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=20  simple preclosed piece: 2 segments, length 26.4331 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 30 = -4j mod n; factor 11 = n/gcd(n,j); closed trajectory: 22 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=21  simple preclosed piece: 2 segments, length 23.6499 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 26 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=22  simple preclosed piece: 2 segments, length 20.5584 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 22 = -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=23  simple preclosed piece: 2 segments, length 17.1989 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 18 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=24  simple preclosed piece: 2 segments, length 13.6151 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 14 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=25  simple preclosed piece: 2 segments, length 9.8539 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 10 = -4j mod n; factor 11 = n/gcd(n,j); closed trajectory: 22 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=26  simple preclosed piece: 2 segments, length 5.9642 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  6 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=27  simple preclosed piece: 2 segments, length 1.9967 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  2 = -4j mod n; factor 55 = n/gcd(n,j); closed trajectory: 110 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
factors d_1..d_m: [55, 55, 55, 55, 11, 55, 55, 55, 55, 11, 5, 55, 55, 55, 11, 55, 55, 55, 55, 11, 55, 5, 55, 55, 11, 55, 55] ; gcd = 1 ; a quotient equals n: True
DONE [13.0s]
