n = 49 (m = 24): trajectories parallel to the side X_0 X_(n-1); exact arithmetic in Q(zeta_98)
j= 1  simple preclosed piece: 2 segments, length 3.9836 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 45 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 7.9017 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 41 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 11.6902 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 37 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 15.2866 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 33 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 18.6321 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 29 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 21.6716 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 25 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 24.3553 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 21 = -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= 8  simple preclosed piece: 2 segments, length 26.6391 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 17 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 28.4854 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 13 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 29.8641 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  9 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 30.7523 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  5 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 31.1356 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  1 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 31.0077 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 46 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 30.3706 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 42 = -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=15  simple preclosed piece: 2 segments, length 29.2348 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 38 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 27.6190 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 34 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 25.5497 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 30 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 23.0609 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 26 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 20.1934 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 22 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 16.9943 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 18 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 13.5162 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 14 = -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=22  simple preclosed piece: 2 segments, length 9.8161 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b = 10 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 5.9549 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  6 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 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 1.9959 = lambda sin(2j pi/n)/sin(pi/n) (exact); x_2 = r^b x_0 with b =  2 = -4j mod n; factor 49 = n/gcd(n,j); closed trajectory: 98 segments   [t = 3/10, 1/7, 5/9; midpoint t = 1/2: 1 segment, half the length, same factor]
factors d_1..d_m: [49, 49, 49, 49, 49, 49, 7, 49, 49, 49, 49, 49, 49, 7, 49, 49, 49, 49, 49, 49, 7, 49, 49, 49] ; gcd = 7 ; a quotient equals n: False
DONE [6.7s]
