n = 63 (m = 31): trajectories parallel to the side X_0 X_(n-1); exact arithmetic in Q(zeta_126)
j= 1  simple preclosed piece: 2 segments, length 3.9901 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 59 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 7.9405 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 55 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 11.8120 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 51 = -4j mod n; factor 21 = n/gcd(n,j); closed trajectory: 42 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 15.5661 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 47 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 19.1655 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 43 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 22.5744 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 39 = -4j mod n; factor 21 = n/gcd(n,j); closed trajectory: 42 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 25.7589 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 35 = -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= 8  simple preclosed piece: 2 segments, length 28.6875 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 31 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 31.3310 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 27 = -4j mod n; factor  7 = n/gcd(n,j); closed trajectory: 14 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 33.6630 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 23 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 35.6605 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 19 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 37.3036 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 15 = -4j mod n; factor 21 = n/gcd(n,j); closed trajectory: 42 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 38.5760 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 11 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 39.4650 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  7 = -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=15  simple preclosed piece: 2 segments, length 39.9617 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  3 = -4j mod n; factor 21 = n/gcd(n,j); closed trajectory: 42 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 40.0613 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 62 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 39.7628 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 58 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 39.0691 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 54 = -4j mod n; factor  7 = n/gcd(n,j); closed trajectory: 14 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 37.9870 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 50 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 36.5275 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 46 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 34.7049 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 42 = -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=22  simple preclosed piece: 2 segments, length 32.5374 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 38 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 30.0466 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 34 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 27.2571 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 30 = -4j mod n; factor 21 = n/gcd(n,j); closed trajectory: 42 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 24.1967 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 26 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 20.8959 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 22 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 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 17.3874 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 18 = -4j mod n; factor  7 = n/gcd(n,j); closed trajectory: 14 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=28  simple preclosed piece: 2 segments, length 13.7060 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 14 = -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=29  simple preclosed piece: 2 segments, length 9.8885 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 10 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=30  simple preclosed piece: 2 segments, length 5.9727 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  6 = -4j mod n; factor 21 = n/gcd(n,j); closed trajectory: 42 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
j=31  simple preclosed piece: 2 segments, length 1.9975 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  2 = -4j mod n; factor 63 = n/gcd(n,j); closed trajectory: 126 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
factors d_1..d_m: [63, 63, 21, 63, 63, 21, 9, 63, 7, 63, 63, 21, 63, 9, 21, 63, 63, 7, 63, 63, 3, 63, 63, 21, 63, 63, 7, 9, 63, 21, 63] ; gcd = 1 ; a quotient equals n: True
DONE [9.2s]
