***** a3,2 ***** 6 cosets 3 double cosets Sizes: 0: () [1] 1 1: (2) [4] q + 2q^2 + q^3 2: (2312) [1] q^4 Neighbours of a point in 0: 1: [4] q + 2q^2 + q^3 Neighbours of a point in 1: 0: [1] 1 1: [2] -1 + q + 2q^2 2: [1] q^3 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [0] -1 - q + q^2 + q^3