***** d7,4 ***** 560 cosets 16 double cosets Sizes: 0: () [1] 1 1: (4) [24] q + 2q^2 + 4q^3 + 5q^4 + 5q^5 + 4q^6 + 2q^7 + q^8 2: (4534) [72] q^4 + 3q^5 + 7q^6 + 11q^7 + 14q^8 + 14q^9 + 11q^10 + 7q^11 + 3q^12 + q^13 3: (457654) [4] q^6 + q^7 + q^8 + q^9 4: (4576534) [72] q^7 + 3q^8 + 7q^9 + 11q^10 + 14q^11 + 14q^12 + 11q^13 + 7q^14 + 3q^15 + q^16 5: (457345234) [16] q^9 + 2q^10 + 3q^11 + 4q^12 + 3q^13 + 2q^14 + q^15 6: (456345234) [16] q^9 + 2q^10 + 3q^11 + 4q^12 + 3q^13 + 2q^14 + q^15 7: (4576345234) [144] q^10 + 4q^11 + 10q^12 + 18q^13 + 25q^14 + 28q^15 + 25q^16 + 18q^17 + 10q^18 + 4q^19 + q^20 8: (4563457564534) [6] q^13 + q^14 + 2q^15 + q^16 + q^17 9: (45634575645234) [72] q^14 + 3q^15 + 7q^16 + 11q^17 + 14q^18 + 14q^19 + 11q^20 + 7q^21 + 3q^22 + q^23 10: (457345623451234) [16] q^15 + 2q^16 + 3q^17 + 4q^18 + 3q^19 + 2q^20 + q^21 11: (456345723451234) [16] q^15 + 2q^16 + 3q^17 + 4q^18 + 3q^19 + 2q^20 + q^21 12: (45634575623451234) [72] q^17 + 3q^18 + 7q^19 + 11q^20 + 14q^21 + 14q^22 + 11q^23 + 7q^24 + 3q^25 + q^26 13: (457345623457456345234) [4] q^21 + q^22 + q^23 + q^24 14: (4573456234574563451234) [24] q^22 + 2q^23 + 4q^24 + 5q^25 + 5q^26 + 4q^27 + 2q^28 + q^29 15: (456345723456123457345623451234) [1] q^30 Neighbours of a point in 0: 1: [24] q + 2q^2 + 4q^3 + 5q^4 + 5q^5 + 4q^6 + 2q^7 + q^8 Neighbours of a point in 1: 0: [1] 1 1: [7] -1 + q + 2q^2 + 3q^3 + 2q^4 2: [12] q^3 + 3q^4 + 4q^5 + 3q^6 + q^7 3: [1] q^5 4: [3] q^6 + q^7 + q^8 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [8] -1 - q + q^2 + 4q^3 + 4q^4 + q^5 4: [4] q^4 + 2q^5 + q^6 5: [2] q^5 + q^6 6: [2] q^5 + q^6 7: [4] q^6 + 2q^7 + q^8 Neighbours of a point in 3: 1: [6] 1 + q + 2q^2 + q^3 + q^4 3: [0] -1 - q^2 + q^3 + q^5 4: [18] q^2 + 2q^3 + 4q^4 + 4q^5 + 4q^6 + 2q^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 + 3q^3 + 4q^4 + 2q^5 7: [8] q^4 + 3q^5 + 3q^6 + q^7 8: [1] q^6 9: [2] q^7 + q^8 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 7: [9] q^3 + 2q^4 + 3q^5 + 2q^6 + q^7 10: [3] q^6 + q^7 + q^8 Neighbours of a point in 6: 2: [9] 1 + 2q + 3q^2 + 2q^3 + q^4 6: [3] -1 - q - q^2 + q^3 + 2q^4 + 2q^5 + q^6 7: [9] q^3 + 2q^4 + 3q^5 + 2q^6 + q^7 11: [3] q^6 + q^7 + q^8 Neighbours of a point in 7: 2: [2] 1 + q 4: [4] q + 2q^2 + q^3 5: [1] q^2 6: [1] q^2 7: [8] -1 - q - 2q^2 + 3q^3 + 5q^4 + 4q^5 9: [4] q^5 + 2q^6 + q^7 10: [1] q^6 11: [1] q^6 12: [2] q^7 + q^8 Neighbours of a point in 8: 4: [12] 1 + 2q + 3q^2 + 3q^3 + 2q^4 + q^5 8: [0] -1 - q - q^2 + q^4 + q^5 + q^6 9: [12] q^3 + 2q^4 + 3q^5 + 3q^6 + 2q^7 + q^8 Neighbours of a point in 9: 4: [2] 1 + q 7: [8] q + 3q^2 + 3q^3 + q^4 8: [1] q^2 9: [7] -1 - q - 2q^2 + q^3 + 4q^4 + 4q^5 + 2q^6 12: [4] q^5 + 2q^6 + q^7 13: [1] q^7 14: [1] q^8 Neighbours of a point in 10: 5: [3] 1 + q + q^2 7: [9] q + 2q^2 + 3q^3 + 2q^4 + q^5 10: [3] -1 - q - q^2 + q^3 + 2q^4 + 2q^5 + q^6 12: [9] q^4 + 2q^5 + 3q^6 + 2q^7 + q^8 Neighbours of a point in 11: 6: [3] 1 + q + q^2 7: [9] q + 2q^2 + 3q^3 + 2q^4 + q^5 11: [3] -1 - q - q^2 + q^3 + 2q^4 + 2q^5 + q^6 12: [9] q^4 + 2q^5 + 3q^6 + 2q^7 + q^8 Neighbours of a point in 12: 7: [4] 1 + 2q + q^2 9: [4] q^2 + 2q^3 + q^4 10: [2] q^2 + q^3 11: [2] q^2 + q^3 12: [8] -1 - q - 2q^2 + 4q^4 + 5q^5 + 3q^6 14: [4] q^6 + 2q^7 + q^8 Neighbours of a point in 13: 9: [18] 1 + 2q + 4q^2 + 4q^3 + 4q^4 + 2q^5 + q^6 13: [0] -1 - q - 2q^2 + 2q^5 + q^6 + q^7 14: [6] q^4 + q^5 + 2q^6 + q^7 + q^8 Neighbours of a point in 14: 9: [3] 1 + q + q^2 12: [12] q + 3q^2 + 4q^3 + 3q^4 + q^5 13: [1] q^3 14: [7] -1 - q - 2q^2 - q^3 + 2q^4 + 4q^5 + 4q^6 + 2q^7 15: [1] q^8 Neighbours of a point in 15: 14: [24] 1 + 2q + 4q^2 + 5q^3 + 5q^4 + 4q^5 + 2q^6 + q^7 15: [0] -1 - q - 2q^2 - q^3 + q^5 + 2q^6 + q^7 + q^8