***** b5,2 ***** 40 cosets 6 double cosets Sizes: 0: () [1] 1 1: (2) [12] q + 2q^2 + 2q^3 + 2q^4 + 2q^5 + 2q^6 + q^7 2: (2312) [12] q^4 + q^5 + 2q^6 + 2q^7 + 2q^8 + 2q^9 + q^10 + q^11 3: (2345432) [2] q^7 + q^8 4: (23454312) [12] q^8 + 2q^9 + 2q^10 + 2q^11 + 2q^12 + 2q^13 + q^14 5: (234512345342312) [1] q^15 Neighbours of a point in 0: 1: [12] q + 2q^2 + 2q^3 + 2q^4 + 2q^5 + 2q^6 + q^7 Neighbours of a point in 1: 0: [1] 1 1: [5] -1 + q + 2q^2 + q^3 + q^4 + q^5 2: [4] q^3 + q^4 + q^5 + q^6 3: [1] q^6 4: [1] q^7 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [4] -1 - q + q^2 + 2q^3 + 2q^4 + q^5 4: [4] q^5 + 2q^6 + q^7 Neighbours of a point in 3: 1: [6] 1 + q + q^2 + q^3 + q^4 + q^5 3: [0] -1 + q^6 4: [6] q^2 + q^3 + q^4 + q^5 + q^6 + q^7 Neighbours of a point in 4: 1: [1] 1 2: [4] q + q^2 + q^3 + q^4 3: [1] q 4: [5] -1 - q + q^2 + q^3 + q^4 + 2q^5 + 2q^6 5: [1] q^7 Neighbours of a point in 5: 4: [12] 1 + 2q + 2q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 5: [0] -1 - q + q^6 + q^7