***** b7,4 ***** 560 cosets 14 double cosets Sizes: 0: () [1] 1 1: (4) [24] q + 2q^2 + 3q^3 + 4q^4 + 4q^5 + 4q^6 + 3q^7 + 2q^8 + q^9 2: (4534) [72] q^4 + 2q^5 + 5q^6 + 7q^7 + 10q^8 + 11q^9 + 11q^10 + 10q^11 + 7q^12 + 5q^13 + 2q^14 + q^15 3: (4567654) [4] q^7 + q^8 + q^9 + q^10 4: (45676534) [72] q^8 + 3q^9 + 6q^10 + 9q^11 + 11q^12 + 12q^13 + 11q^14 + 9q^15 + 6q^16 + 3q^17 + q^18 5: (456345234) [32] q^9 + 2q^10 + 3q^11 + 5q^12 + 5q^13 + 5q^14 + 5q^15 + 3q^16 + 2q^17 + q^18 6: (45676345234) [144] q^11 + 3q^12 + 7q^13 + 12q^14 + 17q^15 + 21q^16 + 22q^17 + 21q^18 + 17q^19 + 12q^20 + 7q^21 + 3q^22 + q^23 7: (456734567564534) [6] q^15 + q^16 + 2q^17 + q^18 + q^19 8: (4567345623451234) [32] q^16 + 2q^17 + 3q^18 + 5q^19 + 5q^20 + 5q^21 + 5q^22 + 3q^23 + 2q^24 + q^25 9: (4567345675645234) [72] q^16 + 3q^17 + 6q^18 + 9q^19 + 11q^20 + 12q^21 + 11q^22 + 9q^23 + 6q^24 + 3q^25 + q^26 10: (4567345675623451234) [72] q^19 + 2q^20 + 5q^21 + 7q^22 + 10q^23 + 11q^24 + 11q^25 + 10q^26 + 7q^27 + 5q^28 + 2q^29 + q^30 11: (456734567234567456345234) [4] q^24 + q^25 + q^26 + q^27 12: (4567345672345674563451234) [24] q^25 + 2q^26 + 3q^27 + 4q^28 + 4q^29 + 4q^30 + 3q^31 + 2q^32 + q^33 13: (4567345672345671234567345623451234) [1] q^34 Neighbours of a point in 0: 1: [24] q + 2q^2 + 3q^3 + 4q^4 + 4q^5 + 4q^6 + 3q^7 + 2q^8 + q^9 Neighbours of a point in 1: 0: [1] 1 1: [7] -1 + q + 2q^2 + 2q^3 + 2q^4 + q^5 2: [12] q^3 + 2q^4 + 3q^5 + 3q^6 + 2q^7 + q^8 3: [1] q^6 4: [3] q^7 + q^8 + q^9 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [8] -1 - q + q^2 + 3q^3 + 4q^4 + 2q^5 4: [4] q^5 + 2q^6 + q^7 5: [4] q^5 + 2q^6 + q^7 6: [4] q^7 + 2q^8 + q^9 Neighbours of a point in 3: 1: [6] 1 + q + q^2 + q^3 + q^4 + q^5 3: [0] -1 + q^6 4: [18] q^2 + 2q^3 + 3q^4 + 3q^5 + 3q^6 + 3q^7 + 2q^8 + q^9 Neighbours of a point in 4: 1: [1] 1 2: [4] q + q^2 + q^3 + q^4 3: [1] q 4: [7] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + 2q^6 6: [8] q^4 + 2q^5 + 2q^6 + 2q^7 + q^8 7: [1] q^7 9: [2] q^8 + q^9 Neighbours of a point in 5: 2: [9] 1 + 2q + 3q^2 + 2q^3 + q^4 5: [3] -1 - q - q^2 + q^3 + 2q^4 + 2q^5 + q^6 6: [9] q^4 + 2q^5 + 3q^6 + 2q^7 + q^8 8: [3] q^7 + q^8 + q^9 Neighbours of a point in 6: 2: [2] 1 + q 4: [4] q + 2q^2 + q^3 5: [2] q^2 + q^3 6: [8] -1 - q - q^2 + q^3 + 4q^4 + 4q^5 + 2q^6 8: [2] q^6 + q^7 9: [4] q^6 + 2q^7 + q^8 10: [2] q^8 + q^9 Neighbours of a point in 7: 4: [12] 1 + 2q + 2q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 7: [0] -1 - q + q^6 + q^7 9: [12] q^3 + 2q^4 + 2q^5 + 2q^6 + 2q^7 + 2q^8 + q^9 Neighbours of a point in 8: 5: [3] 1 + q + q^2 6: [9] q + 2q^2 + 3q^3 + 2q^4 + q^5 8: [3] -1 - q - q^2 + 2q^4 + 2q^5 + 2q^6 10: [9] q^5 + 2q^6 + 3q^7 + 2q^8 + q^9 Neighbours of a point in 9: 4: [2] 1 + q 6: [8] q + 2q^2 + 2q^3 + 2q^4 + q^5 7: [1] q^2 9: [7] -1 - q - q^2 + q^3 + 2q^4 + 2q^5 + 3q^6 + 2q^7 10: [4] q^5 + q^6 + q^7 + q^8 11: [1] q^8 12: [1] q^9 Neighbours of a point in 10: 6: [4] 1 + 2q + q^2 8: [4] q^2 + 2q^3 + q^4 9: [4] q^2 + 2q^3 + q^4 10: [8] -1 - q - q^2 - q^3 + 2q^4 + 4q^5 + 4q^6 + 2q^7 12: [4] q^7 + 2q^8 + q^9 Neighbours of a point in 11: 9: [18] 1 + 2q + 3q^2 + 3q^3 + 3q^4 + 3q^5 + 2q^6 + q^7 11: [0] -1 - q - q^2 + q^6 + q^7 + q^8 12: [6] q^4 + q^5 + q^6 + q^7 + q^8 + q^9 Neighbours of a point in 12: 9: [3] 1 + q + q^2 10: [12] q + 2q^2 + 3q^3 + 3q^4 + 2q^5 + q^6 11: [1] q^3 12: [7] -1 - q - q^2 - q^3 + q^4 + 2q^5 + 3q^6 + 3q^7 + 2q^8 13: [1] q^9 Neighbours of a point in 13: 12: [24] 1 + 2q + 3q^2 + 4q^3 + 4q^4 + 4q^5 + 3q^6 + 2q^7 + q^8 13: [0] -1 - q - q^2 - q^3 + q^6 + q^7 + q^8 + q^9