***** b6,4 ***** 240 cosets 12 double cosets Sizes: 0: () [1] 1 1: (4) [16] q + 2q^2 + 3q^3 + 4q^4 + 3q^5 + 2q^6 + q^7 2: (4534) [24] q^4 + 2q^5 + 4q^6 + 5q^7 + 5q^8 + 4q^9 + 2q^10 + q^11 3: (45654) [4] q^5 + q^6 + q^7 + q^8 4: (456534) [48] q^6 + 3q^7 + 6q^8 + 9q^9 + 10q^10 + 9q^11 + 6q^12 + 3q^13 + q^14 5: (456345234) [48] q^9 + 3q^10 + 6q^11 + 9q^12 + 10q^13 + 9q^14 + 6q^15 + 3q^16 + q^17 6: (45634564534) [6] q^11 + q^12 + 2q^13 + q^14 + q^15 7: (456345645234) [48] q^12 + 3q^13 + 6q^14 + 9q^15 + 10q^16 + 9q^17 + 6q^18 + 3q^19 + q^20 8: (456345623451234) [24] q^15 + 2q^16 + 4q^17 + 5q^18 + 5q^19 + 4q^20 + 2q^21 + q^22 9: (456345623456345234) [4] q^18 + q^19 + q^20 + q^21 10: (4563456234563451234) [16] q^19 + 2q^20 + 3q^21 + 4q^22 + 3q^23 + 2q^24 + q^25 11: (45634562345612345623451234) [1] q^26 Neighbours of a point in 0: 1: [16] q + 2q^2 + 3q^3 + 4q^4 + 3q^5 + 2q^6 + q^7 Neighbours of a point in 1: 0: [1] 1 1: [5] -1 + q + 2q^2 + 2q^3 + q^4 2: [6] q^3 + 2q^4 + 2q^5 + q^6 3: [1] q^4 4: [3] q^5 + q^6 + q^7 Neighbours of a point in 2: 1: [4] 1 + 2q + q^2 2: [4] -1 - q + q^2 + 2q^3 + 2q^4 + q^5 4: [4] q^3 + 2q^4 + q^5 5: [4] q^5 + 2q^6 + q^7 Neighbours of a point in 3: 1: [4] 1 + q + q^2 + q^3 3: [0] -1 + q^4 4: [12] q^2 + 2q^3 + 3q^4 + 3q^5 + 2q^6 + q^7 Neighbours of a point in 4: 1: [1] 1 2: [2] q + q^2 3: [1] q 4: [5] -1 - q + q^2 + 3q^3 + 3q^4 5: [4] q^4 + 2q^5 + q^6 6: [1] q^5 7: [2] q^6 + q^7 Neighbours of a point in 5: 2: [2] 1 + q 4: [4] q + 2q^2 + q^3 5: [4] -1 - q + 2q^3 + 3q^4 + q^5 7: [4] q^4 + 2q^5 + q^6 8: [2] q^6 + q^7 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: [8] q^3 + 2q^4 + 2q^5 + 2q^6 + q^7 Neighbours of a point in 7: 4: [2] 1 + q 5: [4] q + 2q^2 + q^3 6: [1] q^2 7: [5] -1 - q - q^2 + 2q^3 + 4q^4 + 2q^5 8: [2] q^5 + q^6 9: [1] q^6 10: [1] q^7 Neighbours of a point in 8: 5: [4] 1 + 2q + q^2 7: [4] q^2 + 2q^3 + q^4 8: [4] -1 - q + q^3 + 3q^4 + 2q^5 10: [4] q^5 + 2q^6 + q^7 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: [4] q^4 + q^5 + q^6 + q^7 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: [5] -1 - q - q^2 + 3q^4 + 3q^5 + 2q^6 11: [1] q^7 Neighbours of a point in 11: 10: [16] 1 + 2q + 3q^2 + 4q^3 + 3q^4 + 2q^5 + q^6 11: [0] -1 - q - q^2 - q^3 + q^4 + q^5 + q^6 + q^7