***** b4,3 ***** 32 cosets 7 double cosets Sizes: 0: () [1] 1 1: (3) [6] q + 2q^2 + 2q^3 + q^4 2: (343) [3] q^3 + q^4 + q^5 3: (3423) [12] q^4 + 3q^5 + 4q^6 + 3q^7 + q^8 4: (3423423) [3] q^7 + q^8 + q^9 5: (34234123) [6] q^8 + 2q^9 + 2q^10 + q^11 6: (342341234123) [1] q^12 Neighbours of a point in 0: 1: [6] q + 2q^2 + 2q^3 + q^4 Neighbours of a point in 1: 0: [1] 1 1: [2] -1 + q + q^2 + q^3 2: [1] q^2 3: [2] q^3 + q^4 Neighbours of a point in 2: 1: [2] 1 + q 2: [0] -1 + q^2 3: [4] q^2 + 2q^3 + q^4 Neighbours of a point in 3: 1: [1] 1 2: [1] q 3: [2] -1 + 2q^2 + q^3 4: [1] q^3 5: [1] q^4 Neighbours of a point in 4: 3: [4] 1 + 2q + q^2 4: [0] -1 - q + q^2 + q^3 5: [2] q^3 + q^4 Neighbours of a point in 5: 3: [2] 1 + q 4: [1] q^2 5: [2] -1 + q^2 + 2q^3 6: [1] q^4 Neighbours of a point in 6: 5: [6] 1 + 2q + 2q^2 + q^3 6: [0] -1 - q + q^3 + q^4