n=5, trajectories parallel to a side: 3 start rays, 2 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.618034 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 8.090170, found from 1 rays
   preclosed length 2.618034 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 13.090170, found from 2 rays
   factors in order of increasing preclosed length: [5, 5] ; gcd = 5 ; reduced: [1, 1] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..2: True
exact decisions: 88, time 0.0s
n=7, trajectories parallel to a side: 5 start rays, 3 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.801938 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 12.613564, found from 1 rays
   preclosed length 3.246980 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 22.728857, found from 2 rays
   preclosed length 4.048917 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 28.342421, found from 2 rays
   factors in order of increasing preclosed length: [7, 7, 7] ; gcd = 7 ; reduced: [1, 1, 1] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..3: True
exact decisions: 206, time 0.0s
n=9, trajectories parallel to a side: 7 start rays, 4 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.879385 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 16.914467, found from 1 rays
   preclosed length 3.532089 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 31.788800, found from 2 rays
   preclosed length 4.758770 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 14.276311, found from 2 rays
   preclosed length 5.411474 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 48.703267, found from 2 rays
   factors in order of increasing preclosed length: [9, 9, 3, 9] ; gcd = 3 ; reduced: [3, 3, 1, 3] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..4: True
exact decisions: 300, time 0.0s
n=11, trajectories parallel to a side: 9 start rays, 5 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.918986 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 21.108845, found from 1 rays
   preclosed length 3.682507 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 40.507578, found from 2 rays
   preclosed length 5.147693 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 56.624627, found from 2 rays
   preclosed length 6.195844 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 68.154286, found from 2 rays
   preclosed length 6.742045 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 74.162490, found from 2 rays
   factors in order of increasing preclosed length: [11, 11, 11, 11, 11] ; gcd = 11 ; reduced: [1, 1, 1, 1, 1] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..5: True
exact decisions: 586, time 0.0s
n=13, trajectories parallel to a side: 11 start rays, 6 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.941884 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 25.244487, found from 1 rays
   preclosed length 3.770912 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 49.021857, found from 2 rays
   preclosed length 5.380789 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 69.950254, found from 2 rays
   preclosed length 6.677954 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 86.813397, found from 2 rays
   preclosed length 7.587020 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 98.631260, found from 2 rays
   preclosed length 8.055157 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 104.717035, found from 2 rays
   factors in order of increasing preclosed length: [13, 13, 13, 13, 13, 13] ; gcd = 13 ; reduced: [1, 1, 1, 1, 1, 1] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..6: True
exact decisions: 848, time 0.0s
n=15, trajectories parallel to a side: 13 start rays, 7 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.956295 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 29.344428, found from 1 rays
   preclosed length 3.827091 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 57.406363, found from 2 rays
   preclosed length 5.530624 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 27.653122, found from 2 rays
   preclosed length 6.992443 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 104.886645, found from 2 rays
   preclosed length 8.148658 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 24.445975, found from 2 rays
   preclosed length 8.948738 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 44.743691, found from 2 rays
   preclosed length 9.357715 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 140.365730, found from 2 rays
   factors in order of increasing preclosed length: [15, 15, 5, 15, 3, 5, 15] ; gcd = 1 ; reduced: [15, 15, 5, 15, 3, 5, 15] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..7: True
exact decisions: 774, time 0.0s
n=21, trajectories parallel to a side: 19 start rays, 10 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.977662 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 41.530896, found from 1 rays
   preclosed length 3.911146 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 82.134058, found from 2 rays
   preclosed length 5.757261 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 40.300827, found from 2 rays
   preclosed length 7.474769 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 156.970145, found from 2 rays
   preclosed length 9.025303 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 189.531352, found from 2 rays
   preclosed length 10.374226 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 72.619581, found from 2 rays
   preclosed length 11.491406 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 34.474219, found from 2 rays
   preclosed length 12.351888 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 259.389640, found from 2 rays
   preclosed length 12.936448 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 90.555137, found from 2 rays
   preclosed length 13.232030 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 277.872626, found from 2 rays
   factors in order of increasing preclosed length: [21, 21, 7, 21, 21, 7, 3, 21, 7, 21] ; gcd = 1 ; reduced: [21, 21, 7, 21, 21, 7, 3, 21, 7, 21] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..10: True
exact decisions: 1656, time 0.0s
n=25, trajectories parallel to a side: 23 start rays, 12 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.984229 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 49.605735, found from 1 rays
   preclosed length 3.937166 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 98.429158, found from 2 rays
   preclosed length 5.828012 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 145.700295, found from 2 rays
   preclosed length 7.626946 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 190.673650, found from 2 rays
   preclosed length 9.305599 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 46.527993, found from 2 rays
   preclosed length 10.837497 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 270.937415, found from 2 rays
   preclosed length 12.198481 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 304.962018, found from 2 rays
   preclosed length 13.367088 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 334.177188, found from 2 rays
   preclosed length 14.324887 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 358.122183, found from 2 rays
   preclosed length 15.056775 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 75.283875, found from 2 rays
   preclosed length 15.551208 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 388.780213, found from 2 rays
   preclosed length 15.800390 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 395.009752, found from 2 rays
   factors in order of increasing preclosed length: [25, 25, 25, 25, 5, 25, 25, 25, 25, 5, 25, 25] ; gcd = 5 ; reduced: [5, 5, 5, 5, 1, 5, 5, 5, 5, 1, 5, 5] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..12: True
exact decisions: 2948, time 0.0s
n=27, trajectories parallel to a side: 25 start rays, 13 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.986477 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 53.634871, found from 1 rays
   preclosed length 3.946090 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 106.544422, found from 2 rays
   preclosed length 5.852339 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 52.671048, found from 2 rays
   preclosed length 7.679445 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 207.345010, found from 2 rays
   preclosed length 9.402700 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 253.872887, found from 2 rays
   preclosed length 10.998799 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 98.989190, found from 2 rays
   preclosed length 12.446158 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 336.046277, found from 2 rays
   preclosed length 13.725205 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 370.580535, found from 2 rays
   preclosed length 14.818642 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 44.455925, found from 2 rays
   preclosed length 15.711682 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 424.215406, found from 2 rays
   preclosed length 16.392248 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 442.590701, found from 2 rays
   preclosed length 16.851138 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 151.660238, found from 2 rays
   preclosed length 17.082144 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 27, bounces of the closed trajectory 54, closed length 461.217896, found from 2 rays
   factors in order of increasing preclosed length: [27, 27, 9, 27, 27, 9, 27, 27, 3, 27, 27, 9, 27] ; gcd = 3 ; reduced: [9, 9, 3, 9, 9, 3, 9, 9, 1, 9, 9, 3, 9] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..13: True
exact decisions: 3090, time 0.0s
n=33, trajectories parallel to a side: 31 start rays, 16 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.990944 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 65.701145, found from 1 rays
   preclosed length 3.963857 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 130.807294, found from 2 rays
   preclosed length 5.900874 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 64.909610, found from 2 rays
   preclosed length 7.784451 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 256.886873, found from 2 rays
   preclosed length 9.597530 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 316.718506, found from 2 rays
   preclosed length 11.323694 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 124.560630, found from 2 rays
   preclosed length 12.947308 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 427.261151, found from 2 rays
   preclosed length 14.453669 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 476.971067, found from 2 rays
   preclosed length 15.829135 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 174.120487, found from 2 rays
   preclosed length 17.061251 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 563.021270, found from 2 rays
   preclosed length 18.138857 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 54.416570, found from 2 rays
   preclosed length 19.052194 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 209.574140, found from 2 rays
   preclosed length 19.792993 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 653.168756, found from 2 rays
   preclosed length 20.354542 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 671.699899, found from 2 rays
   preclosed length 20.731758 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 228.049340, found from 2 rays
   preclosed length 20.921224 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 33, bounces of the closed trajectory 66, closed length 690.400395, found from 2 rays
   factors in order of increasing preclosed length: [33, 33, 11, 33, 33, 11, 33, 33, 11, 33, 3, 11, 33, 33, 11, 33] ; gcd = 1 ; reduced: [33, 33, 11, 33, 33, 11, 33, 33, 11, 33, 3, 11, 33, 33, 11, 33] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..16: True
exact decisions: 4428, time 0.1s
n=35, trajectories parallel to a side: 33 start rays, 17 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.991949 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 69.718201, found from 1 rays
   preclosed length 3.967859 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 138.875072, found from 2 rays
   preclosed length 5.911823 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 206.913802, found from 2 rays
   preclosed length 7.808188 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 273.286584, found from 2 rays
   preclosed length 9.641686 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 67.491805, found from 2 rays
   preclosed length 11.397555 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 398.914439, found from 2 rays
   preclosed length 13.061658 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 65.308290, found from 2 rays
   preclosed length 14.620596 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 511.720856, found from 2 rays
   preclosed length 16.061817 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 562.163609, found from 2 rays
   preclosed length 17.373718 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 121.616029, found from 2 rays
   preclosed length 18.545737 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 649.100781, found from 2 rays
   preclosed length 19.568435 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 684.895239, found from 2 rays
   preclosed length 20.433581 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 715.175324, found from 2 rays
   preclosed length 21.134207 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 105.671033, found from 2 rays
   preclosed length 21.664673 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 151.652708, found from 2 rays
   preclosed length 22.020707 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 770.724752, found from 2 rays
   preclosed length 22.199444 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 776.980544, found from 2 rays
   factors in order of increasing preclosed length: [35, 35, 35, 35, 7, 35, 5, 35, 35, 7, 35, 35, 35, 5, 7, 35, 35] ; gcd = 1 ; reduced: [35, 35, 35, 35, 7, 35, 5, 35, 35, 7, 35, 35, 35, 5, 7, 35, 35] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..17: True
exact decisions: 5170, time 0.1s
n=39, trajectories parallel to a side: 37 start rays, 19 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.993515 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 77.747069, found from 1 rays
   preclosed length 3.974101 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 154.989920, found from 2 rays
   preclosed length 5.928913 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 77.075868, found from 2 rays
   preclosed length 7.845274 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 305.965682, found from 2 rays
   preclosed length 9.710755 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 378.719461, found from 2 rays
   preclosed length 11.513259 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 149.672366, found from 2 rays
   preclosed length 13.241094 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 516.402682, found from 2 rays
   preclosed length 14.883056 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 580.439200, found from 2 rays
   preclosed length 16.428496 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 213.570449, found from 2 rays
   preclosed length 17.867391 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 696.828237, found from 2 rays
   preclosed length 19.190408 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 748.425928, found from 2 rays
   preclosed length 20.388969 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 265.056596, found from 2 rays
   preclosed length 21.455299 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 64.365897, found from 2 rays
   preclosed length 22.382483 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 872.916856, found from 2 rays
   preclosed length 23.164509 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 301.138616, found from 2 rays
   preclosed length 23.796304 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 928.055837, found from 2 rays
   preclosed length 24.273770 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 946.677030, found from 2 rays
   preclosed length 24.593812 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 13, bounces of the closed trajectory 26, closed length 319.719553, found from 2 rays
   preclosed length 24.754353 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 39, bounces of the closed trajectory 78, closed length 965.419779, found from 2 rays
   factors in order of increasing preclosed length: [39, 39, 13, 39, 39, 13, 39, 39, 13, 39, 39, 13, 3, 39, 13, 39, 39, 13, 39] ; gcd = 1 ; reduced: [39, 39, 13, 39, 39, 13, 39, 39, 13, 39, 39, 13, 3, 39, 13, 39, 39, 13, 39] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..19: True
exact decisions: 6318, time 0.1s
n=45, trajectories parallel to a side: 43 start rays, 22 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.995128 (= lam*sin(2j pi/n)/sin(pi/n) for j in [22]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 89.780765, found from 1 rays
   preclosed length 3.980536 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 179.124124, found from 2 rays
   preclosed length 5.946551 (= lam*sin(2j pi/n)/sin(pi/n) for j in [21]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 89.198271, found from 2 rays
   preclosed length 7.883596 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 354.761806, found from 2 rays
   preclosed length 9.782232 (= lam*sin(2j pi/n)/sin(pi/n) for j in [20]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 88.040086, found from 2 rays
   preclosed length 11.633210 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 174.498150, found from 2 rays
   preclosed length 13.427512 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 604.238053, found from 2 rays
   preclosed length 15.156397 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 682.037869, found from 2 rays
   preclosed length 16.811441 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 84.057207, found from 2 rays
   preclosed length 18.384582 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 165.461240, found from 2 rays
   preclosed length 19.868155 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 894.066975, found from 2 rays
   preclosed length 21.254932 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 318.823984, found from 2 rays
   preclosed length 22.538158 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 1014.217092, found from 2 rays
   preclosed length 23.711579 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 1067.021068, found from 2 rays
   preclosed length 24.769481 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 74.308442, found from 2 rays
   preclosed length 25.706707 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 1156.801833, found from 2 rays
   preclosed length 26.518694 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 1193.341216, found from 2 rays
   preclosed length 27.201484 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 136.007418, found from 2 rays
   preclosed length 27.751751 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 1248.828781, found from 2 rays
   preclosed length 28.166814 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 253.501326, found from 2 rays
   preclosed length 28.444651 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 426.669771, found from 2 rays
   preclosed length 28.583909 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 45, bounces of the closed trajectory 90, closed length 1286.275923, found from 2 rays
   factors in order of increasing preclosed length: [45, 45, 15, 45, 9, 15, 45, 45, 5, 9, 45, 15, 45, 45, 3, 45, 45, 5, 45, 9, 15, 45] ; gcd = 1 ; reduced: [45, 45, 15, 45, 9, 15, 45, 45, 5, 9, 45, 15, 45, 45, 3, 45, 45, 5, 45, 9, 15, 45] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..22: True
exact decisions: 7368, time 0.1s
n=49, trajectories parallel to a side: 47 start rays, 24 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.995891 (= lam*sin(2j pi/n)/sin(pi/n) for j in [24]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 97.798649, found from 1 rays
   preclosed length 3.983580 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 195.195420, found from 2 rays
   preclosed length 5.954900 (= lam*sin(2j pi/n)/sin(pi/n) for j in [23]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 291.790095, found from 2 rays
   preclosed length 7.901750 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 387.185740, found from 2 rays
   preclosed length 9.816130 (= lam*sin(2j pi/n)/sin(pi/n) for j in [22]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 480.990355, found from 2 rays
   preclosed length 11.690173 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 572.818477, found from 2 rays
   preclosed length 13.516179 (= lam*sin(2j pi/n)/sin(pi/n) for j in [21]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 94.613252, found from 2 rays
   preclosed length 15.286644 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 749.045551, found from 2 rays
   preclosed length 16.994293 (= lam*sin(2j pi/n)/sin(pi/n) for j in [20]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 832.720352, found from 2 rays
   preclosed length 18.632109 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 912.973321, found from 2 rays
   preclosed length 20.193361 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 989.474689, found from 2 rays
   preclosed length 21.671634 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1061.910091, found from 2 rays
   preclosed length 23.060855 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1129.981880, found from 2 rays
   preclosed length 24.355313 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 170.487190, found from 2 rays
   preclosed length 25.549690 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1251.934800, found from 2 rays
   preclosed length 26.639078 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1305.314802, found from 2 rays
   preclosed length 27.619000 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1353.330985, found from 2 rays
   preclosed length 28.485429 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1395.786041, found from 2 rays
   preclosed length 29.234806 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1432.505514, found from 2 rays
   preclosed length 29.864051 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1463.338514, found from 2 rays
   preclosed length 30.370578 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 212.594049, found from 2 rays
   preclosed length 30.752306 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1506.863004, found from 2 rays
   preclosed length 31.007666 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1519.375649, found from 2 rays
   preclosed length 31.135609 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 49, bounces of the closed trajectory 98, closed length 1525.644851, found from 2 rays
   factors in order of increasing preclosed length: [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 ; reduced: [7, 7, 7, 7, 7, 7, 1, 7, 7, 7, 7, 7, 7, 1, 7, 7, 7, 7, 7, 7, 1, 7, 7, 7] ; n among reduced factors: False
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..24: True
exact decisions: 12260, time 0.2s
n=51, trajectories parallel to a side: 49 start rays, 25 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.996207 (= lam*sin(2j pi/n)/sin(pi/n) for j in [25]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 101.806542, found from 1 rays
   preclosed length 3.984841 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 203.226891, found from 2 rays
   preclosed length 5.958360 (= lam*sin(2j pi/n)/sin(pi/n) for j in [24]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 101.292112, found from 2 rays
   preclosed length 7.909276 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 403.373071, found from 2 rays
   preclosed length 9.830190 (= lam*sin(2j pi/n)/sin(pi/n) for j in [23]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 501.339675, found from 2 rays
   preclosed length 11.713814 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 199.134841, found from 2 rays
   preclosed length 13.553004 (= lam*sin(2j pi/n)/sin(pi/n) for j in [22]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 691.203219, found from 2 rays
   preclosed length 15.340783 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 782.379938, found from 2 rays
   preclosed length 17.070369 (= lam*sin(2j pi/n)/sin(pi/n) for j in [21]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 290.196275, found from 2 rays
   preclosed length 18.735201 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 955.495266, found from 2 rays
   preclosed length 20.328965 (= lam*sin(2j pi/n)/sin(pi/n) for j in [20]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1036.777190, found from 2 rays
   preclosed length 21.845613 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 371.375421, found from 2 rays
   preclosed length 23.279394 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1187.249069, found from 2 rays
   preclosed length 24.624867 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1255.868237, found from 2 rays
   preclosed length 25.876931 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 439.907822, found from 2 rays
   preclosed length 27.030834 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1378.572529, found from 2 rays
   preclosed length 28.082200 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 84.246600, found from 2 rays
   preclosed length 29.027041 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 493.459690, found from 2 rays
   preclosed length 29.861772 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1522.950357, found from 2 rays
   preclosed length 30.583227 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1559.744572, found from 2 rays
   preclosed length 31.188669 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 530.207380, found from 2 rays
   preclosed length 31.675803 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1615.465938, found from 2 rays
   preclosed length 32.042779 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1634.181714, found from 2 rays
   preclosed length 32.288206 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 17, bounces of the closed trajectory 34, closed length 548.899495, found from 2 rays
   preclosed length 32.411152 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 51, bounces of the closed trajectory 102, closed length 1652.968762, found from 2 rays
   factors in order of increasing preclosed length: [51, 51, 17, 51, 51, 17, 51, 51, 17, 51, 51, 17, 51, 51, 17, 51, 3, 17, 51, 51, 17, 51, 51, 17, 51] ; gcd = 1 ; reduced: [51, 51, 17, 51, 51, 17, 51, 51, 17, 51, 51, 17, 51, 51, 17, 51, 3, 17, 51, 51, 17, 51, 51, 17, 51] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..25: True
exact decisions: 11106, time 0.2s
n=55, trajectories parallel to a side: 53 start rays, 27 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.996738 (= lam*sin(2j pi/n)/sin(pi/n) for j in [27]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 109.820601, found from 1 rays
   preclosed length 3.986963 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 219.282993, found from 2 rays
   preclosed length 5.964184 (= lam*sin(2j pi/n)/sin(pi/n) for j in [26]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 328.030125, found from 2 rays
   preclosed length 7.921951 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 435.707294, found from 2 rays
   preclosed length 9.853878 (= lam*sin(2j pi/n)/sin(pi/n) for j in [25]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 108.392655, found from 2 rays
   preclosed length 11.753663 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 646.451481, found from 2 rays
   preclosed length 13.615111 (= lam*sin(2j pi/n)/sin(pi/n) for j in [24]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 748.831105, found from 2 rays
   preclosed length 15.432149 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 848.768189, found from 2 rays
   preclosed length 17.198850 (= lam*sin(2j pi/n)/sin(pi/n) for j in [23]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 945.936772, found from 2 rays
   preclosed length 18.909453 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 208.003981, found from 2 rays
   preclosed length 20.558377 (= lam*sin(2j pi/n)/sin(pi/n) for j in [22]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 102.791883, found from 2 rays
   preclosed length 22.140243 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1217.713370, found from 2 rays
   preclosed length 23.649893 (= lam*sin(2j pi/n)/sin(pi/n) for j in [21]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1300.744104, found from 2 rays
   preclosed length 25.082401 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1379.532082, found from 2 rays
   preclosed length 26.433097 (= lam*sin(2j pi/n)/sin(pi/n) for j in [20]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 290.764063, found from 2 rays
   preclosed length 27.697572 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1523.366482, found from 2 rays
   preclosed length 28.871704 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1587.943747, found from 2 rays
   preclosed length 29.951663 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1647.341471, found from 2 rays
   preclosed length 30.933926 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1701.365908, found from 2 rays
   preclosed length 31.815288 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 349.968168, found from 2 rays
   preclosed length 32.592876 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1792.608158, found from 2 rays
   preclosed length 33.264152 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 166.320760, found from 2 rays
   preclosed length 33.826928 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1860.481023, found from 2 rays
   preclosed length 34.279367 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1885.365185, found from 2 rays
   preclosed length 34.619994 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 11, bounces of the closed trajectory 22, closed length 380.819934, found from 2 rays
   preclosed length 34.847698 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1916.623384, found from 2 rays
   preclosed length 34.961736 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 55, bounces of the closed trajectory 110, closed length 1922.895469, found from 2 rays
   factors in order of increasing preclosed length: [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 ; reduced: [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] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..27: True
exact decisions: 13598, time 0.3s
n=63, trajectories parallel to a side: 61 start rays, 31 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.997514 (= lam*sin(2j pi/n)/sin(pi/n) for j in [31]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 125.843369, found from 1 rays
   preclosed length 3.990062 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 251.373881, found from 2 rays
   preclosed length 5.972689 (= lam*sin(2j pi/n)/sin(pi/n) for j in [30]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 125.426475, found from 2 rays
   preclosed length 7.940468 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 500.249490, found from 2 rays
   preclosed length 9.888506 (= lam*sin(2j pi/n)/sin(pi/n) for j in [29]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 622.975853, found from 2 rays
   preclosed length 11.811959 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 248.051133, found from 2 rays
   preclosed length 13.706045 (= lam*sin(2j pi/n)/sin(pi/n) for j in [28]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 123.354409, found from 2 rays
   preclosed length 15.566057 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 980.661572, found from 2 rays
   preclosed length 17.387368 (= lam*sin(2j pi/n)/sin(pi/n) for j in [27]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 121.711579, found from 2 rays
   preclosed length 19.165452 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 1207.423495, found from 2 rays
   preclosed length 20.895888 (= lam*sin(2j pi/n)/sin(pi/n) for j in [26]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 1316.440938, found from 2 rays
   preclosed length 22.574373 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 474.061833, found from 2 rays
   preclosed length 24.196735 (= lam*sin(2j pi/n)/sin(pi/n) for j in [25]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 1524.394280, found from 2 rays
   preclosed length 25.758939 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 231.830455, found from 2 rays
   preclosed length 27.257103 (= lam*sin(2j pi/n)/sin(pi/n) for j in [24]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 572.399171, found from 2 rays
   preclosed length 28.687502 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 1807.312620, found from 2 rays
   preclosed length 30.046579 (= lam*sin(2j pi/n)/sin(pi/n) for j in [23]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 1892.934464, found from 2 rays
   preclosed length 31.330955 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 219.316686, found from 2 rays
   preclosed length 32.537438 (= lam*sin(2j pi/n)/sin(pi/n) for j in [22]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2049.858581, found from 2 rays
   preclosed length 33.663027 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2120.770720, found from 2 rays
   preclosed length 34.704925 (= lam*sin(2j pi/n)/sin(pi/n) for j in [21]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 104.114776, found from 2 rays
   preclosed length 35.660541 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2246.614089, found from 2 rays
   preclosed length 36.527499 (= lam*sin(2j pi/n)/sin(pi/n) for j in [20]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2301.232462, found from 2 rays
   preclosed length 37.303644 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 783.376534, found from 2 rays
   preclosed length 37.987047 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2393.183955, found from 2 rays
   preclosed length 38.576008 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2430.288473, found from 2 rays
   preclosed length 39.069062 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 273.483435, found from 2 rays
   preclosed length 39.464985 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 9, bounces of the closed trajectory 18, closed length 355.184863, found from 2 rays
   preclosed length 39.762791 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2505.055852, found from 2 rays
   preclosed length 39.961741 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 839.196567, found from 2 rays
   preclosed length 40.061340 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 63, bounces of the closed trajectory 126, closed length 2523.864426, found from 2 rays
   factors in order of increasing preclosed length: [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 ; reduced: [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] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..31: True
exact decisions: 15294, time 0.3s
n=75, trajectories parallel to a side: 73 start rays, 37 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.998246 (= lam*sin(2j pi/n)/sin(pi/n) for j in [37]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 149.868427, found from 1 rays
   preclosed length 3.992986 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 299.473928, found from 2 rays
   preclosed length 5.980721 (= lam*sin(2j pi/n)/sin(pi/n) for j in [36]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 149.518018, found from 2 rays
   preclosed length 7.957963 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 596.847262, found from 2 rays
   preclosed length 9.921245 (= lam*sin(2j pi/n)/sin(pi/n) for j in [35]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 148.818680, found from 2 rays
   preclosed length 11.867122 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 296.678048, found from 2 rays
   preclosed length 13.792179 (= lam*sin(2j pi/n)/sin(pi/n) for j in [34]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 1034.413462, found from 2 rays
   preclosed length 15.693041 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 1176.978075, found from 2 rays
   preclosed length 17.566371 (= lam*sin(2j pi/n)/sin(pi/n) for j in [33]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 439.159287, found from 2 rays
   preclosed length 19.408885 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 291.133269, found from 2 rays
   preclosed length 21.217348 (= lam*sin(2j pi/n)/sin(pi/n) for j in [32]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 1591.301100, found from 2 rays
   preclosed length 22.988589 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 574.714722, found from 2 rays
   preclosed length 24.719500 (= lam*sin(2j pi/n)/sin(pi/n) for j in [31]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 1853.962500, found from 2 rays
   preclosed length 26.407045 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 1980.528352, found from 2 rays
   preclosed length 28.048262 (= lam*sin(2j pi/n)/sin(pi/n) for j in [30]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 140.241312, found from 2 rays
   preclosed length 29.640274 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 2223.020557, found from 2 rays
   preclosed length 31.180287 (= lam*sin(2j pi/n)/sin(pi/n) for j in [29]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 2338.521495, found from 2 rays
   preclosed length 32.665598 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 816.639958, found from 2 rays
   preclosed length 34.093603 (= lam*sin(2j pi/n)/sin(pi/n) for j in [28]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 2557.020255, found from 2 rays
   preclosed length 35.461797 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 531.926952, found from 2 rays
   preclosed length 36.767778 (= lam*sin(2j pi/n)/sin(pi/n) for j in [27]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 919.194453, found from 2 rays
   preclosed length 38.009256 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 2850.694215, found from 2 rays
   preclosed length 39.184053 (= lam*sin(2j pi/n)/sin(pi/n) for j in [26]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 2938.803990, found from 2 rays
   preclosed length 40.290108 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 1007.252700, found from 2 rays
   preclosed length 41.325480 (= lam*sin(2j pi/n)/sin(pi/n) for j in [25]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 123.976441, found from 2 rays
   preclosed length 42.288354 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 3171.626528, found from 2 rays
   preclosed length 43.177039 (= lam*sin(2j pi/n)/sin(pi/n) for j in [24]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 1079.425972, found from 2 rays
   preclosed length 43.989977 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 3299.248268, found from 2 rays
   preclosed length 44.725742 (= lam*sin(2j pi/n)/sin(pi/n) for j in [23]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 3354.430620, found from 2 rays
   preclosed length 45.383042 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 226.915211, found from 2 rays
   preclosed length 45.960725 (= lam*sin(2j pi/n)/sin(pi/n) for j in [22]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 3447.054398, found from 2 rays
   preclosed length 46.457778 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 3484.333335, found from 2 rays
   preclosed length 46.873328 (= lam*sin(2j pi/n)/sin(pi/n) for j in [21]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 1171.833190, found from 2 rays
   preclosed length 47.206646 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 3540.498420, found from 2 rays
   preclosed length 47.457147 (= lam*sin(2j pi/n)/sin(pi/n) for j in [20]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 711.857208, found from 2 rays
   preclosed length 47.624393 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 25, bounces of the closed trajectory 50, closed length 1190.609817, found from 2 rays
   preclosed length 47.708089 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 75, bounces of the closed trajectory 150, closed length 3578.106668, found from 2 rays
   factors in order of increasing preclosed length: [75, 75, 25, 75, 15, 25, 75, 75, 25, 15, 75, 25, 75, 75, 5, 75, 75, 25, 75, 15, 25, 75, 75, 25, 3, 75, 25, 75, 75, 5, 75, 75, 25, 75, 15, 25, 75] ; gcd = 1 ; reduced: [75, 75, 25, 75, 15, 25, 75, 75, 25, 15, 75, 25, 75, 75, 5, 75, 75, 25, 75, 15, 25, 75, 75, 25, 3, 75, 25, 75, 75, 5, 75, 75, 25, 75, 15, 25, 75] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..37: True
exact decisions: 21354, time 0.5s
n=105, trajectories parallel to a side: 103 start rays, 52 distinct bands (preclosed length in units of the side : factor)
   preclosed length 1.999105 (= lam*sin(2j pi/n)/sin(pi/n) for j in [52]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 209.906014, found from 1 rays
   preclosed length 3.996420 (= lam*sin(2j pi/n)/sin(pi/n) for j in [1]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 419.624131, found from 2 rays
   preclosed length 5.990158 (= lam*sin(2j pi/n)/sin(pi/n) for j in [51]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 209.655541, found from 2 rays
   preclosed length 7.978534 (= lam*sin(2j pi/n)/sin(pi/n) for j in [2]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 837.746112, found from 2 rays
   preclosed length 9.959769 (= lam*sin(2j pi/n)/sin(pi/n) for j in [50]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 209.155141, found from 2 rays
   preclosed length 11.932087 (= lam*sin(2j pi/n)/sin(pi/n) for j in [3]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 417.623059, found from 2 rays
   preclosed length 13.893725 (= lam*sin(2j pi/n)/sin(pi/n) for j in [49]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 208.405881, found from 2 rays
   preclosed length 15.842927 (= lam*sin(2j pi/n)/sin(pi/n) for j in [4]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 1663.507304, found from 2 rays
   preclosed length 17.777946 (= lam*sin(2j pi/n)/sin(pi/n) for j in [48]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 622.228121, found from 2 rays
   preclosed length 19.697052 (= lam*sin(2j pi/n)/sin(pi/n) for j in [5]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 413.638098, found from 2 rays
   preclosed length 21.598527 (= lam*sin(2j pi/n)/sin(pi/n) for j in [47]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 2267.845314, found from 2 rays
   preclosed length 23.480668 (= lam*sin(2j pi/n)/sin(pi/n) for j in [6]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 821.823370, found from 2 rays
   preclosed length 25.341790 (= lam*sin(2j pi/n)/sin(pi/n) for j in [46]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 2660.887971, found from 2 rays
   preclosed length 27.180228 (= lam*sin(2j pi/n)/sin(pi/n) for j in [7]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 407.703426, found from 2 rays
   preclosed length 28.994336 (= lam*sin(2j pi/n)/sin(pi/n) for j in [45]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 202.960355, found from 2 rays
   preclosed length 30.782491 (= lam*sin(2j pi/n)/sin(pi/n) for j in [8]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 3232.161534, found from 2 rays
   preclosed length 32.543091 (= lam*sin(2j pi/n)/sin(pi/n) for j in [44]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 3417.024524, found from 2 rays
   preclosed length 34.274560 (= lam*sin(2j pi/n)/sin(pi/n) for j in [9]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 1199.609600, found from 2 rays
   preclosed length 35.975349 (= lam*sin(2j pi/n)/sin(pi/n) for j in [43]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 3777.411645, found from 2 rays
   preclosed length 37.643935 (= lam*sin(2j pi/n)/sin(pi/n) for j in [10]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 790.522637, found from 2 rays
   preclosed length 39.278825 (= lam*sin(2j pi/n)/sin(pi/n) for j in [42]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 196.394124, found from 2 rays
   preclosed length 40.878555 (= lam*sin(2j pi/n)/sin(pi/n) for j in [11]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 4292.248254, found from 2 rays
   preclosed length 42.441693 (= lam*sin(2j pi/n)/sin(pi/n) for j in [41]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 4456.377744, found from 2 rays
   preclosed length 43.966840 (= lam*sin(2j pi/n)/sin(pi/n) for j in [12]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 1538.839393, found from 2 rays
   preclosed length 45.452630 (= lam*sin(2j pi/n)/sin(pi/n) for j in [40]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 954.505240, found from 2 rays
   preclosed length 46.897735 (= lam*sin(2j pi/n)/sin(pi/n) for j in [13]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 4924.262164, found from 2 rays
   preclosed length 48.300860 (= lam*sin(2j pi/n)/sin(pi/n) for j in [39]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 1690.530082, found from 2 rays
   preclosed length 49.660748 (= lam*sin(2j pi/n)/sin(pi/n) for j in [14]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 744.911225, found from 2 rays
   preclosed length 50.976184 (= lam*sin(2j pi/n)/sin(pi/n) for j in [38]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 5352.499320, found from 2 rays
   preclosed length 52.245989 (= lam*sin(2j pi/n)/sin(pi/n) for j in [15]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 365.721924, found from 2 rays
   preclosed length 53.469027 (= lam*sin(2j pi/n)/sin(pi/n) for j in [37]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 5614.247835, found from 2 rays
   preclosed length 54.644203 (= lam*sin(2j pi/n)/sin(pi/n) for j in [16]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 5737.641304, found from 2 rays
   preclosed length 55.770465 (= lam*sin(2j pi/n)/sin(pi/n) for j in [36]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 1951.966264, found from 2 rays
   preclosed length 56.846804 (= lam*sin(2j pi/n)/sin(pi/n) for j in [17]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 5968.914472, found from 2 rays
   preclosed length 57.872259 (= lam*sin(2j pi/n)/sin(pi/n) for j in [35]), bounces in the simple preclosed part 2, factor d = 3, bounces of the closed trajectory 6, closed length 173.616776, found from 2 rays
   preclosed length 58.845909 (= lam*sin(2j pi/n)/sin(pi/n) for j in [18]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 2059.606829, found from 2 rays
   preclosed length 59.766885 (= lam*sin(2j pi/n)/sin(pi/n) for j in [34]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 6275.522925, found from 2 rays
   preclosed length 60.634361 (= lam*sin(2j pi/n)/sin(pi/n) for j in [19]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 6366.607926, found from 2 rays
   preclosed length 61.447561 (= lam*sin(2j pi/n)/sin(pi/n) for j in [33]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 2150.664649, found from 2 rays
   preclosed length 62.205758 (= lam*sin(2j pi/n)/sin(pi/n) for j in [20]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 1306.320912, found from 2 rays
   preclosed length 62.908271 (= lam*sin(2j pi/n)/sin(pi/n) for j in [32]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 6605.368497, found from 2 rays
   preclosed length 63.554474 (= lam*sin(2j pi/n)/sin(pi/n) for j in [21]), bounces in the simple preclosed part 2, factor d = 5, bounces of the closed trajectory 10, closed length 317.772369, found from 2 rays
   preclosed length 64.143786 (= lam*sin(2j pi/n)/sin(pi/n) for j in [31]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 6735.097551, found from 2 rays
   preclosed length 64.675681 (= lam*sin(2j pi/n)/sin(pi/n) for j in [22]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 6790.946526, found from 2 rays
   preclosed length 65.149683 (= lam*sin(2j pi/n)/sin(pi/n) for j in [30]), bounces in the simple preclosed part 2, factor d = 7, bounces of the closed trajectory 14, closed length 456.047780, found from 2 rays
   preclosed length 65.565367 (= lam*sin(2j pi/n)/sin(pi/n) for j in [23]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 6884.363493, found from 2 rays
   preclosed length 65.922360 (= lam*sin(2j pi/n)/sin(pi/n) for j in [29]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 6921.847853, found from 2 rays
   preclosed length 66.220345 (= lam*sin(2j pi/n)/sin(pi/n) for j in [24]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 2317.712075, found from 2 rays
   preclosed length 66.459053 (= lam*sin(2j pi/n)/sin(pi/n) for j in [28]), bounces in the simple preclosed part 2, factor d = 15, bounces of the closed trajectory 30, closed length 996.885798, found from 2 rays
   preclosed length 66.638272 (= lam*sin(2j pi/n)/sin(pi/n) for j in [25]), bounces in the simple preclosed part 2, factor d = 21, bounces of the closed trajectory 42, closed length 1399.403706, found from 2 rays
   preclosed length 66.757840 (= lam*sin(2j pi/n)/sin(pi/n) for j in [27]), bounces in the simple preclosed part 2, factor d = 35, bounces of the closed trajectory 70, closed length 2336.524393, found from 2 rays
   preclosed length 66.817651 (= lam*sin(2j pi/n)/sin(pi/n) for j in [26]), bounces in the simple preclosed part 2, factor d = 105, bounces of the closed trajectory 210, closed length 7015.853324, found from 2 rays
   factors in order of increasing preclosed length: [105, 105, 35, 105, 21, 35, 15, 105, 35, 21, 105, 35, 105, 15, 7, 105, 105, 35, 105, 21, 5, 105, 105, 35, 21, 105, 35, 15, 105, 7, 105, 105, 35, 105, 3, 35, 105, 105, 35, 21, 105, 5, 105, 105, 7, 105, 105, 35, 15, 21, 35, 105] ; gcd = 1 ; reduced: [105, 105, 35, 105, 21, 35, 15, 105, 35, 21, 105, 35, 105, 15, 7, 105, 105, 35, 105, 21, 5, 105, 105, 35, 21, 105, 35, 15, 105, 7, 105, 105, 35, 105, 3, 35, 105, 105, 35, 21, 105, 5, 105, 105, 7, 105, 105, 35, 15, 21, 35, 105] ; n among reduced factors: True
   agrees with d_j = n/gcd(n,j), lengths lam*sin(2j pi/n)/sin(pi/n), j=1..52: True
exact decisions: 37188, time 1.6s
