***** e7,1 ***** 56 cosets 4 double cosets Sizes: 0: () [1] 1 1: (1) [27] q + q^2 + q^3 + q^4 + 2q^5 + 2q^6 + 2q^7 + 2q^8 + 3q^9 + 2q^10 + 2q^11 + 2q^12 + 2q^13 + q^14 + q^15 + q^16 + q^17 2: (1234754321) [27] q^10 + q^11 + q^12 + q^13 + 2q^14 + 2q^15 + 2q^16 + 2q^17 + 3q^18 + 2q^19 + 2q^20 + 2q^21 + 2q^22 + q^23 + q^24 + q^25 + q^26 3: (123475645347234512347654321) [1] q^27 Neighbours of a point in 0: 1: [27] q + q^2 + q^3 + q^4 + 2q^5 + 2q^6 + 2q^7 + 2q^8 + 3q^9 + 2q^10 + 2q^11 + 2q^12 + 2q^13 + q^14 + q^15 + q^16 + q^17 Neighbours of a point in 1: 0: [1] 1 1: [16] -1 + q + q^2 + q^3 + q^4 + 2q^5 + 2q^6 + 2q^7 + 2q^8 + 2q^9 + q^10 + q^11 + q^12 2: [10] q^9 + q^10 + q^11 + q^12 + 2q^13 + q^14 + q^15 + q^16 + q^17 Neighbours of a point in 2: 1: [10] 1 + q + q^2 + q^3 + 2q^4 + q^5 + q^6 + q^7 + q^8 2: [16] -1 - q^4 + q^5 + q^6 + q^7 + q^8 + 3q^9 + 2q^10 + 2q^11 + 2q^12 + 2q^13 + q^14 + q^15 + q^16 3: [1] q^17 Neighbours of a point in 3: 2: [27] 1 + q + q^2 + q^3 + 2q^4 + 2q^5 + 2q^6 + 2q^7 + 3q^8 + 2q^9 + 2q^10 + 2q^11 + 2q^12 + q^13 + q^14 + q^15 + q^16 3: [0] -1 - q^4 - q^8 + q^9 + q^13 + q^17