***** b7,5 ***** 672 cosets 15 double cosets Sizes: 0: () [1] 1 1: (5) [20] q + 2q^2 + 3q^3 + 4q^4 + 4q^5 + 3q^6 + 2q^7 + q^8 2: (5645) [40] q^4 + 2q^5 + 4q^6 + 6q^7 + 7q^8 + 7q^9 + 6q^10 + 4q^11 + 2q^12 + q^13 3: (56765) [5] q^5 + q^6 + q^7 + q^8 + q^9 4: (567645) [80] q^6 + 3q^7 + 6q^8 + 10q^9 + 13q^10 + 14q^11 + 13q^12 + 10q^13 + 6q^14 + 3q^15 + q^16 5: (567456345) [120] q^9 + 3q^10 + 7q^11 + 12q^12 + 17q^13 + 20q^14 + 20q^15 + 17q^16 + 12q^17 + 7q^18 + 3q^19 + q^20 6: (56745675645) [10] q^11 + q^12 + 2q^13 + 2q^14 + 2q^15 + q^16 + q^17 7: (567456756345) [120] q^12 + 3q^13 + 7q^14 + 12q^15 + 17q^16 + 20q^17 + 20q^18 + 17q^19 + 12q^20 + 7q^21 + 3q^22 + q^23 8: (567456734562345) [120] q^15 + 3q^16 + 7q^17 + 12q^18 + 17q^19 + 20q^20 + 20q^21 + 17q^22 + 12q^23 + 7q^24 + 3q^25 + q^26 9: (567456734567456345) [10] q^18 + q^19 + 2q^20 + 2q^21 + 2q^22 + q^23 + q^24 10: (5674567345674562345) [80] q^19 + 3q^20 + 6q^21 + 10q^22 + 13q^23 + 14q^24 + 13q^25 + 10q^26 + 6q^27 + 3q^28 + q^29 11: (5674567345672345612345) [40] q^22 + 2q^23 + 4q^24 + 6q^25 + 7q^26 + 7q^27 + 6q^28 + 4q^29 + 2q^30 + q^31 12: (56745673456723456734562345) [5] q^26 + q^27 + q^28 + q^29 + q^30 13: (567456734567234567345612345) [20] q^27 + 2q^28 + 3q^29 + 4q^30 + 4q^31 + 3q^32 + 2q^33 + q^34 14: (56745673456723456712345672345612345) [1] q^35 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: [6] -1 + q + 2q^2 + 2q^3 + q^4 + q^5 2: [8] q^3 + 2q^4 + 2q^5 + 2q^6 + q^7 3: [1] q^4 4: [4] q^5 + q^6 + q^7 + q^8 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 4: [4] q^3 + 2q^4 + q^5 5: [6] q^5 + 2q^6 + 2q^7 + q^8 Neighbours of a point in 3: 1: [4] 1 + q + q^2 + q^3 3: [0] -1 + q^4 4: [16] q^2 + 2q^3 + 3q^4 + 4q^5 + 3q^6 + 2q^7 + q^8 Neighbours of a point in 4: 1: [1] 1 2: [2] q + q^2 3: [1] q 4: [6] -1 - q + q^2 + 3q^3 + 3q^4 + q^5 5: [6] q^4 + 2q^5 + 2q^6 + q^7 6: [1] q^5 7: [3] q^6 + q^7 + q^8 Neighbours of a point in 5: 2: [2] 1 + q 4: [4] q + 2q^2 + q^3 5: [6] -1 - q + 2q^3 + 3q^4 + 2q^5 + q^6 7: [4] q^4 + 2q^5 + q^6 8: [4] q^6 + 2q^7 + q^8 Neighbours of a point in 6: 4: [8] 1 + 2q + 2q^2 + 2q^3 + q^4 6: [0] -1 - q + q^4 + q^5 7: [12] q^3 + 2q^4 + 3q^5 + 3q^6 + 2q^7 + q^8 Neighbours of a point in 7: 4: [2] 1 + q 5: [4] q + 2q^2 + q^3 6: [1] q^2 7: [6] -1 - q - q^2 + 2q^3 + 4q^4 + 3q^5 8: [4] q^5 + 2q^6 + q^7 9: [1] q^6 10: [2] q^7 + q^8 Neighbours of a point in 8: 5: [4] 1 + 2q + q^2 7: [4] q^2 + 2q^3 + q^4 8: [6] -1 - q + q^3 + 3q^4 + 3q^5 + q^6 10: [4] q^5 + 2q^6 + q^7 11: [2] q^7 + q^8 Neighbours of a point in 9: 7: [12] 1 + 2q + 3q^2 + 3q^3 + 2q^4 + q^5 9: [0] -1 - q - q^2 + q^4 + q^5 + q^6 10: [8] q^4 + 2q^5 + 2q^6 + 2q^7 + q^8 Neighbours of a point in 10: 7: [3] 1 + q + q^2 8: [6] q + 2q^2 + 2q^3 + q^4 9: [1] q^3 10: [6] -1 - q - q^2 + 3q^4 + 4q^5 + 2q^6 11: [2] q^6 + q^7 12: [1] q^7 13: [1] q^8 Neighbours of a point in 11: 8: [6] 1 + 2q + 2q^2 + q^3 10: [4] q^3 + 2q^4 + q^5 11: [6] -1 - q + q^3 + 2q^4 + 3q^5 + 2q^6 13: [4] q^6 + 2q^7 + q^8 Neighbours of a point in 12: 10: [16] 1 + 2q + 3q^2 + 4q^3 + 3q^4 + 2q^5 + q^6 12: [0] -1 - q - q^2 - q^3 + q^4 + q^5 + q^6 + q^7 13: [4] q^5 + q^6 + q^7 + q^8 Neighbours of a point in 13: 10: [4] 1 + q + q^2 + q^3 11: [8] q + 2q^2 + 2q^3 + 2q^4 + q^5 12: [1] q^4 13: [6] -1 - q - q^2 + q^4 + 3q^5 + 3q^6 + 2q^7 14: [1] q^8 Neighbours of a point in 14: 13: [20] 1 + 2q + 3q^2 + 4q^3 + 4q^4 + 3q^5 + 2q^6 + q^7 14: [0] -1 - q - q^2 - q^3 + q^5 + q^6 + q^7 + q^8