Frequency distribution of affine closed trajectories

• In the table, affine closed trajectories with the same U/D sequence are identified.
  (Two U/D sequence {a[i]} and {b[i]} are identified if and only if they coincide with each other by
  • rotational shift, i.e., a[i+k] = b[i] for some k,
  • inversion, i.e., -a[i] = b[i], where -U:=D and -D:=U,
  • reversion, i.e., a[i] = b[-i],
   or any combination of them.)
• An affine closed trajectory is a closed trajectory defined by a single standard cone.