***** a5,3 ***** 20 cosets 4 double cosets Sizes: 0: () [1] 1 1: (3) [9] q + 2q^2 + 3q^3 + 2q^4 + q^5 2: (3423) [9] q^4 + 2q^5 + 3q^6 + 2q^7 + q^8 3: (345234123) [1] q^9 Neighbours of a point in 0: 1: [9] q + 2q^2 + 3q^3 + 2q^4 + q^5 Neighbours of a point in 1: 0: [1] 1 1: [4] -1 + q + 2q^2 + 2q^3 2: [4] q^3 + 2q^4 + q^5 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [4] -1 - q + q^2 + 3q^3 + 2q^4 3: [1] q^5 Neighbours of a point in 3: 2: [9] 1 + 2q + 3q^2 + 2q^3 + q^4 3: [0] -1 - q - q^2 + q^3 + q^4 + q^5