***** d4,1 ***** 8 cosets 3 double cosets Sizes: 0: () [1] 1 1: (1) [6] q + q^2 + 2q^3 + q^4 + q^5 2: (124321) [1] q^6 Neighbours of a point in 0: 1: [6] q + q^2 + 2q^3 + q^4 + q^5 Neighbours of a point in 1: 0: [1] 1 1: [4] -1 + q + q^2 + 2q^3 + q^4 2: [1] q^5 Neighbours of a point in 2: 1: [6] 1 + q + 2q^2 + q^3 + q^4 2: [0] -1 - q^2 + q^3 + q^5