***** e6,6 ***** 72 cosets 5 double cosets Sizes: 0: () [1] 1 1: (6) [20] q + q^2 + 2q^3 + 3q^4 + 3q^5 + 3q^6 + 3q^7 + 2q^8 + q^9 + q^10 2: (634236) [30] q^6 + 2q^7 + 3q^8 + 4q^9 + 5q^10 + 5q^11 + 4q^12 + 3q^13 + 2q^14 + q^15 3: (63452341236) [20] q^11 + q^12 + 2q^13 + 3q^14 + 3q^15 + 3q^16 + 3q^17 + 2q^18 + q^19 + q^20 4: (634523412363452341236) [1] q^21 Neighbours of a point in 0: 1: [20] q + q^2 + 2q^3 + 3q^4 + 3q^5 + 3q^6 + 3q^7 + 2q^8 + q^9 + q^10 Neighbours of a point in 1: 0: [1] 1 1: [9] -1 + q + q^2 + 2q^3 + 3q^4 + 2q^5 + q^6 2: [9] q^5 + 2q^6 + 3q^7 + 2q^8 + q^9 3: [1] q^10 Neighbours of a point in 2: 1: [6] 1 + q + 2q^2 + q^3 + q^4 2: [8] -1 - q^2 + q^3 + 2q^4 + 3q^5 + 2q^6 + 2q^7 3: [6] q^6 + q^7 + 2q^8 + q^9 + q^10 Neighbours of a point in 3: 1: [1] 1 2: [9] q + 2q^2 + 3q^3 + 2q^4 + q^5 3: [9] -1 - q^2 - q^3 + q^4 + 2q^5 + 3q^6 + 3q^7 + 2q^8 + q^9 4: [1] q^10 Neighbours of a point in 4: 3: [20] 1 + q + 2q^2 + 3q^3 + 3q^4 + 3q^5 + 3q^6 + 2q^7 + q^8 + q^9 4: [0] -1 - q^2 - q^3 + q^7 + q^8 + q^10