Let N be the number of convex 27-gons up to rotation there are such that each side has length 1 and each angle is a multiple of 2 \pi / 81. Find the remainder when N is divided by 23.
Let N be the number of convex 27-gons up to rotation there are such that each side has length 1 and each angle is a multiple of 2 \pi / 81. Find the remainder when N is divided by 23.