***** a5,2 ***** 15 cosets 3 double cosets Sizes: 0: () [1] 1 1: (2) [8] q + 2q^2 + 2q^3 + 2q^4 + q^5 2: (2312) [6] q^4 + q^5 + 2q^6 + q^7 + q^8 Neighbours of a point in 0: 1: [8] q + 2q^2 + 2q^3 + 2q^4 + q^5 Neighbours of a point in 1: 0: [1] 1 1: [4] -1 + q + 2q^2 + q^3 + q^4 2: [3] q^3 + q^4 + q^5 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [4] -1 - q + q^2 + 2q^3 + 2q^4 + q^5