(*                          Ren-Cang Li, June 1, 1996
                            na.rcli@na-net.ornl.gov   *)

<<ReduceH

(* Possible Brackets *)
cmt[1] =Expand[Cmt[Y,Cmt[X,Cmt[X,Cmt[X,Cmt[X,Y]]]]]];
cmt[2] =Expand[Cmt[X,Cmt[Y,Cmt[X,Cmt[X,Cmt[X,Y]]]]]];
cmt[3] =Expand[Cmt[X,Cmt[X,Cmt[Y,Cmt[X,Cmt[X,Y]]]]]];
cmt[4] =Expand[Cmt[X,Cmt[X,Cmt[X,Cmt[Y,Cmt[X,Y]]]]]];

(* Results: The number of independent brackets:  0.
   Relations: all cmt[i] are 0                      *)

NumBrackets=4;
(* Do[{Print[cmt[i]];Pause[5]},{i,NumBrackets}]; *)

(* The maximum possible length of these vectors *)
MaxL=6!/(2! 4!);

<<ReduceT
