n=45: 136 reachable points of length <= 16, 25 classes of parallel directions
  class of alpha=0.064434: floating billiard finds 22 of the 22 (length, factor) pairs of the unfolding, none else
  class of alpha=0.062044: floating billiard finds 22 of the 22 (length, factor) pairs of the unfolding, none else
  class of alpha=0.042909: floating billiard finds 22 of the 22 (length, factor) pairs of the unfolding, none else
  class of alpha=2.546069: floating billiard finds 19 of the 22 (length, factor) pairs of the unfolding, none else
bands computed: 4214 (rays from O, both sides); largest number of segments of a simple preclosed piece: 30
odd n: in every class exactly m = 22 preclosed lengths c*lambda*sin(2j pi/n)/sin(pi/n), factors d_j = n'/gcd(n',j); classes by n': {45: 15, 15: 1, 9: 2, 5: 3, 3: 4}
  n'=45: factors 45,45,15,45,9,15,45,45,5,9,45,15,45,45,3,45,45,5,45,9,15,45  gcd 1  a quotient is n: yes  classes: 15
  n'=15: factors 15,15,5,15,3,5,15,15,5,3,15,5,15,15,1,15,15,5,15,3,5,15  gcd 1  a quotient is n: no  classes: 1
  n'=9: factors 9,9,3,9,9,3,9,9,1,9,9,3,9,9,3,9,9,1,9,9,3,9  gcd 1  a quotient is n: no  classes: 2
  n'=5: factors 5,5,5,5,1,5,5,5,5,1,5,5,5,5,1,5,5,5,5,1,5,5  gcd 1  a quotient is n: no  classes: 3
  n'=3: factors 3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3,3,1,3  gcd 1  a quotient is n: no  classes: 4
DONE n=45 [6.1s]
