***** e6,2 ***** 216 cosets 10 double cosets Sizes: 0: () [1] 1 1: (2) [20] q + 2q^2 + 3q^3 + 4q^4 + 4q^5 + 3q^6 + 2q^7 + q^8 2: (2312) [30] q^4 + 2q^5 + 4q^6 + 5q^7 + 6q^8 + 5q^9 + 4q^10 + 2q^11 + q^12 3: (236432) [10] q^6 + 2q^7 + 2q^8 + 2q^9 + 2q^10 + q^11 4: (2364312) [60] q^7 + 3q^8 + 6q^9 + 9q^10 + 11q^11 + 11q^12 + 9q^13 + 6q^14 + 3q^15 + q^16 5: (23645342312) [20] q^11 + 2q^12 + 3q^13 + 4q^14 + 4q^15 + 3q^16 + 2q^17 + q^18 6: (23412365432) [20] q^11 + 2q^12 + 3q^13 + 4q^14 + 4q^15 + 3q^16 + 2q^17 + q^18 7: (2341236342312) [5] q^13 + q^14 + q^15 + q^16 + q^17 8: (23412365342312) [40] q^14 + 3q^15 + 5q^16 + 7q^17 + 8q^18 + 7q^19 + 5q^20 + 3q^21 + q^22 9: (2364534123645342312) [10] q^19 + q^20 + 2q^21 + 2q^22 + 2q^23 + q^24 + q^25 Neighbours of a point in 0: 1: [20] q + 2q^2 + 3q^3 + 4q^4 + 4q^5 + 3q^6 + 2q^7 + q^8 Neighbours of a point in 1: 0: [1] 1 1: [7] -1 + q + 2q^2 + 2q^3 + 2q^4 + q^5 2: [6] q^3 + 2q^4 + 2q^5 + q^6 3: [3] q^5 + q^6 + q^7 4: [3] q^6 + q^7 + q^8 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [6] -1 - q + q^2 + 3q^3 + 3q^4 + q^5 4: [8] q^4 + 3q^5 + 3q^6 + q^7 6: [2] q^7 + q^8 Neighbours of a point in 3: 1: [6] 1 + q + 2q^2 + q^3 + q^4 3: [4] -1 - q^2 + q^3 + q^4 + 2q^5 + q^6 + q^7 4: [6] q^2 + q^3 + 2q^4 + q^5 + q^6 5: [4] q^5 + q^6 + q^7 + q^8 Neighbours of a point in 4: 1: [1] 1 2: [4] q + 2q^2 + q^3 3: [1] q 4: [7] -1 - q + 2q^3 + 4q^4 + 3q^5 5: [2] q^5 + q^6 6: [2] q^6 + q^7 7: [1] q^6 8: [2] q^7 + q^8 Neighbours of a point in 5: 3: [2] 1 + q 4: [6] q + 2q^2 + 2q^3 + q^4 5: [6] -1 - q + q^3 + 3q^4 + 3q^5 + q^6 8: [6] q^5 + 2q^6 + 2q^7 + q^8 Neighbours of a point in 6: 2: [3] 1 + q + q^2 4: [6] q^2 + 2q^3 + 2q^4 + q^5 6: [4] -1 + q^3 + q^4 + q^5 + q^6 + q^7 8: [6] q^4 + 2q^5 + 2q^6 + q^7 9: [1] q^8 Neighbours of a point in 7: 4: [12] 1 + 2q + 3q^2 + 3q^3 + 2q^4 + q^5 7: [0] -1 - q - q^2 + q^4 + q^5 + q^6 8: [8] q^4 + 2q^5 + 2q^6 + 2q^7 + q^8 Neighbours of a point in 8: 4: [3] 1 + q + q^2 5: [3] q^2 + q^3 + q^4 6: [3] q + q^2 + q^3 7: [1] q^3 8: [7] -1 - q - q^2 + 3q^4 + 4q^5 + 2q^6 + q^7 9: [3] q^6 + q^7 + q^8 Neighbours of a point in 9: 6: [2] 1 + q 8: [12] q + 3q^2 + 4q^3 + 3q^4 + q^5 9: [6] -1 - q - q^2 - q^3 + q^4 + 3q^5 + 3q^6 + 2q^7 + q^8