***** b5,3 ***** 80 cosets 9 double cosets Sizes: 0: () [1] 1 1: (3) [12] q + 2q^2 + 3q^3 + 3q^4 + 2q^5 + q^6 2: (3423) [12] q^4 + 2q^5 + 3q^6 + 3q^7 + 2q^8 + q^9 3: (34543) [3] q^5 + q^6 + q^7 4: (345423) [24] q^6 + 3q^7 + 5q^8 + 6q^9 + 5q^10 + 3q^11 + q^12 5: (345234123) [12] q^9 + 2q^10 + 3q^11 + 3q^12 + 2q^13 + q^14 6: (34523453423) [3] q^11 + q^12 + q^13 7: (345234534123) [12] q^12 + 2q^13 + 3q^14 + 3q^15 + 2q^16 + q^17 8: (345234512345234123) [1] q^18 Neighbours of a point in 0: 1: [12] q + 2q^2 + 3q^3 + 3q^4 + 2q^5 + q^6 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 3: [1] q^4 4: [2] q^5 + q^6 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [2] -1 - q + q^2 + 2q^3 + q^4 4: [4] q^3 + 2q^4 + q^5 5: [2] q^5 + q^6 Neighbours of a point in 3: 1: [4] 1 + q + q^2 + q^3 3: [0] -1 + q^4 4: [8] q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 Neighbours of a point in 4: 1: [1] 1 2: [2] q + q^2 3: [1] q 4: [4] -1 - q + q^2 + 3q^3 + 2q^4 5: [2] q^4 + q^5 6: [1] q^5 7: [1] q^6 Neighbours of a point in 5: 2: [2] 1 + q 4: [4] q + 2q^2 + q^3 5: [2] -1 - q + 2q^3 + 2q^4 7: [4] q^4 + 2q^5 + q^6 Neighbours of a point in 6: 4: [8] 1 + 2q + 2q^2 + 2q^3 + q^4 6: [0] -1 - q + q^4 + q^5 7: [4] q^3 + q^4 + q^5 + q^6 Neighbours of a point in 7: 4: [2] 1 + q 5: [4] q + 2q^2 + q^3 6: [1] q^2 7: [4] -1 - q - q^2 + 2q^3 + 3q^4 + 2q^5 8: [1] q^6 Neighbours of a point in 8: 7: [12] 1 + 2q + 3q^2 + 3q^3 + 2q^4 + q^5 8: [0] -1 - q - q^2 + q^4 + q^5 + q^6