***** d7,5 ***** 672 cosets 19 double cosets Sizes: 0: () [1] 1 1: (5) [20] q + 3q^2 + 4q^3 + 4q^4 + 4q^5 + 3q^6 + q^7 2: (5645) [20] q^4 + 2q^5 + 3q^6 + 4q^7 + 4q^8 + 3q^9 + 2q^10 + q^11 3: (5745) [20] q^4 + 2q^5 + 3q^6 + 4q^7 + 4q^8 + 3q^9 + 2q^10 + q^11 4: (5765) [5] q^4 + q^5 + q^6 + q^7 + q^8 5: (57645) [80] q^5 + 4q^6 + 8q^7 + 12q^8 + 15q^9 + 15q^10 + 12q^11 + 8q^12 + 4q^13 + q^14 6: (57456345) [60] q^8 + 3q^9 + 6q^10 + 9q^11 + 11q^12 + 11q^13 + 9q^14 + 6q^15 + 3q^16 + q^17 7: (56457345) [60] q^8 + 3q^9 + 6q^10 + 9q^11 + 11q^12 + 11q^13 + 9q^14 + 6q^15 + 3q^16 + q^17 8: (564575645) [10] q^9 + q^10 + 2q^11 + 2q^12 + 2q^13 + q^14 + q^15 9: (5645756345) [120] q^10 + 4q^11 + 9q^12 + 15q^13 + 20q^14 + 22q^15 + 20q^16 + 15q^17 + 9q^18 + 4q^19 + q^20 10: (5645734562345) [60] q^13 + 3q^14 + 6q^15 + 9q^16 + 11q^17 + 11q^18 + 9q^19 + 6q^20 + 3q^21 + q^22 11: (5745634572345) [60] q^13 + 3q^14 + 6q^15 + 9q^16 + 11q^17 + 11q^18 + 9q^19 + 6q^20 + 3q^21 + q^22 12: (574563457456345) [10] q^15 + q^16 + 2q^17 + 2q^18 + 2q^19 + q^20 + q^21 13: (5745634574562345) [80] q^16 + 4q^17 + 8q^18 + 12q^19 + 15q^20 + 15q^21 + 12q^22 + 8q^23 + 4q^24 + q^25 14: (5745634572345612345) [20] q^19 + 2q^20 + 3q^21 + 4q^22 + 4q^23 + 3q^24 + 2q^25 + q^26 15: (5645734562345712345) [20] q^19 + 2q^20 + 3q^21 + 4q^22 + 4q^23 + 3q^24 + 2q^25 + q^26 16: (5645734562345734562345) [5] q^22 + q^23 + q^24 + q^25 + q^26 17: (56457345623457345612345) [20] q^23 + 3q^24 + 4q^25 + 4q^26 + 4q^27 + 3q^28 + q^29 18: (574563457234561234572345612345) [1] q^30 Neighbours of a point in 0: 1: [20] q + 3q^2 + 4q^3 + 4q^4 + 4q^5 + 3q^6 + q^7 Neighbours of a point in 1: 0: [1] 1 1: [6] -1 + q + 3q^2 + q^3 + q^4 + q^5 2: [4] q^3 + q^4 + q^5 + q^6 3: [4] q^3 + q^4 + q^5 + q^6 4: [1] q^3 5: [4] q^4 + q^5 + q^6 + q^7 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 5: [4] q^2 + 2q^3 + q^4 7: [6] q^4 + 2q^5 + 2q^6 + q^7 Neighbours of a point in 3: 1: [4] 1 + 2q + q^2 3: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 5: [4] q^2 + 2q^3 + q^4 6: [6] q^4 + 2q^5 + 2q^6 + q^7 Neighbours of a point in 4: 1: [4] 1 + 2q + q^2 4: [0] -1 - q + q^2 + q^3 5: [16] q^2 + 3q^3 + 4q^4 + 4q^5 + 3q^6 + q^7 Neighbours of a point in 5: 1: [1] 1 2: [1] q 3: [1] q 4: [1] q 5: [6] -1 - 2q + 3q^2 + 4q^3 + q^4 + q^5 6: [3] q^4 + q^5 + q^6 7: [3] q^4 + q^5 + q^6 8: [1] q^4 9: [3] q^5 + q^6 + q^7 Neighbours of a point in 6: 3: [2] 1 + q 5: [4] q + 2q^2 + q^3 6: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 9: [4] q^3 + 2q^4 + q^5 11: [4] q^5 + 2q^6 + q^7 Neighbours of a point in 7: 2: [2] 1 + q 5: [4] q + 2q^2 + q^3 7: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 9: [4] q^3 + 2q^4 + q^5 10: [4] q^5 + 2q^6 + q^7 Neighbours of a point in 8: 5: [8] 1 + 3q + 3q^2 + q^3 8: [0] -1 - 2q + 2q^3 + q^4 9: [12] q^3 + 3q^4 + 4q^5 + 3q^6 + q^7 Neighbours of a point in 9: 5: [2] 1 + q 6: [2] q + q^2 7: [2] q + q^2 8: [1] q^2 9: [6] -1 - 2q + 4q^3 + 4q^4 + q^5 10: [2] q^5 + q^6 11: [2] q^5 + q^6 12: [1] q^5 13: [2] q^6 + q^7 Neighbours of a point in 10: 7: [4] 1 + 2q + q^2 9: [4] q^2 + 2q^3 + q^4 10: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 13: [4] q^4 + 2q^5 + q^6 15: [2] q^6 + q^7 Neighbours of a point in 11: 6: [4] 1 + 2q + q^2 9: [4] q^2 + 2q^3 + q^4 11: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 13: [4] q^4 + 2q^5 + q^6 14: [2] q^6 + q^7 Neighbours of a point in 12: 9: [12] 1 + 3q + 4q^2 + 3q^3 + q^4 12: [0] -1 - 2q - q^2 + q^3 + 2q^4 + q^5 13: [8] q^4 + 3q^5 + 3q^6 + q^7 Neighbours of a point in 13: 9: [3] 1 + q + q^2 10: [3] q + q^2 + q^3 11: [3] q + q^2 + q^3 12: [1] q^3 13: [6] -1 - 2q + q^3 + 4q^4 + 4q^5 14: [1] q^6 15: [1] q^6 16: [1] q^6 17: [1] q^7 Neighbours of a point in 14: 11: [6] 1 + 2q + 2q^2 + q^3 13: [4] q^3 + 2q^4 + q^5 14: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 17: [4] q^5 + 2q^6 + q^7 Neighbours of a point in 15: 10: [6] 1 + 2q + 2q^2 + q^3 13: [4] q^3 + 2q^4 + q^5 15: [6] -1 - q + q^2 + 2q^3 + 2q^4 + 2q^5 + q^6 17: [4] q^5 + 2q^6 + q^7 Neighbours of a point in 16: 13: [16] 1 + 3q + 4q^2 + 4q^3 + 3q^4 + q^5 16: [0] -1 - 2q - q^2 + q^4 + 2q^5 + q^6 17: [4] q^5 + 2q^6 + q^7 Neighbours of a point in 17: 13: [4] 1 + q + q^2 + q^3 14: [4] q + q^2 + q^3 + q^4 15: [4] q + q^2 + q^3 + q^4 16: [1] q^4 17: [6] -1 - 2q + q^3 + q^4 + 4q^5 + 3q^6 18: [1] q^7 Neighbours of a point in 18: 17: [20] 1 + 3q + 4q^2 + 4q^3 + 4q^4 + 3q^5 + q^6 18: [0] -1 - 2q - q^2 + q^5 + 2q^6 + q^7