
COMMENTS

r,l,u,d,f,b are respectively right, left, up, down, front, back faces of a 3 X 3 X 3 Rubik's Cube. Set M=2, R=3, L=5, U=7, D=11, F=13, B=17, where M is a 90degree turn of the middle slice of Rubik's Cube; R is a 90degree turn of the right face, L is a 90degree turn of the left face...
The moves to flip the top uf, ub edges are (M*U)*(M*U)*(M*U)*U*(M^3*U)*(M^3*U)*(M^3*U)*U = (2*7)*(2*7)*(2*7^2)*(2^3*7)*(2^3*7)*(2^3*7^2) = 14*14*98*56*56*392; note that as the order of a 90degree turn T is 4, then T^2 = T^2 and T^3 = T^1. Moves adapted from 'Adventures in group theory'.
