n=27: 279 reachable points of length <= 24, 64 classes of parallel directions
  class of alpha=2.799402: floating billiard finds 13 of the 13 (length, factor) pairs of the unfolding, none else
  class of alpha=0.330577: floating billiard finds 12 of the 13 (length, factor) pairs of the unfolding, none else
  class of alpha=2.826847: floating billiard finds 13 of the 13 (length, factor) pairs of the unfolding, none else
  class of alpha=2.723019: floating billiard finds 13 of the 13 (length, factor) pairs of the unfolding, none else
  class of alpha=0.298752: floating billiard finds 12 of the 13 (length, factor) pairs of the unfolding, none else
  class of alpha=0.413119: floating billiard finds 12 of the 13 (length, factor) pairs of the unfolding, none else
bands computed: 6300 (rays from O, both sides); largest number of segments of a simple preclosed piece: 52
odd n: in every class exactly m = 13 preclosed lengths c*lambda*sin(2j pi/n)/sin(pi/n), factors d_j = n'/gcd(n',j); classes by n': {27: 49, 9: 11, 3: 3, 1: 1}
  n'=27: factors 27,27,9,27,27,9,27,27,3,27,27,9,27  gcd 3  a quotient is n: no  classes: 49
  n'=9: factors 9,9,3,9,9,3,9,9,1,9,9,3,9  gcd 1  a quotient is n: no  classes: 11
  n'=3: factors 3,3,1,3,3,1,3,3,1,3,3,1,3  gcd 1  a quotient is n: no  classes: 3
  n'=1: factors 1,1,1,1,1,1,1,1,1,1,1,1,1  gcd 1  a quotient is n: no  classes: 1
DONE n=27 [5.9s]
