***** f4,2 ***** 96 cosets 17 double cosets Sizes: 0: () [1] 1 1: (2) [6] q + 2q^2 + 2q^3 + q^4 2: (232) [6] q^3 + 2q^4 + 2q^5 + q^6 3: (2312) [12] q^4 + 3q^5 + 4q^6 + 3q^7 + q^8 4: (234232) [2] q^6 + q^7 5: (2312312) [3] q^7 + q^8 + q^9 6: (2342312) [6] q^7 + 2q^8 + 2q^9 + q^10 7: (2341232) [6] q^7 + 2q^8 + 2q^9 + q^10 8: (23412312) [12] q^8 + 3q^9 + 4q^10 + 3q^11 + q^12 9: (2342312312) [6] q^10 + 2q^11 + 2q^12 + q^13 10: (2312341232) [6] q^10 + 2q^11 + 2q^12 + q^13 11: (23123432312) [3] q^11 + q^12 + q^13 12: (231234312312) [12] q^12 + 3q^13 + 4q^14 + 3q^15 + q^16 13: (2342312341232) [2] q^13 + q^14 14: (23423123412312) [6] q^14 + 2q^15 + 2q^16 + q^17 15: (2342312342312312) [6] q^16 + 2q^17 + 2q^18 + q^19 16: (23123432312342312312) [1] q^20 Neighbours of a point in 0: 1: [6] q + 2q^2 + 2q^3 + q^4 Neighbours of a point in 1: 0: [1] 1 1: [1] -1 + q + q^2 2: [2] q^2 + q^3 3: [2] q^3 + q^4 Neighbours of a point in 2: 1: [2] 1 + q 2: [0] -1 + q^2 3: [2] q^2 + q^3 4: [1] q^3 6: [1] q^4 Neighbours of a point in 3: 1: [1] 1 2: [1] q 3: [1] -1 + 2q^2 5: [1] q^3 7: [1] q^3 8: [1] q^4 Neighbours of a point in 4: 2: [3] 1 + q + q^2 4: [0] -1 + q^3 6: [3] q^2 + q^3 + q^4 Neighbours of a point in 5: 3: [4] 1 + 2q + q^2 5: [0] -1 - q + q^2 + q^3 10: [2] q^3 + q^4 Neighbours of a point in 6: 2: [1] 1 4: [1] q 6: [0] -1 + q^2 8: [2] q^2 + q^3 9: [2] q^3 + q^4 Neighbours of a point in 7: 3: [2] 1 + q 7: [1] -1 + q^2 + q^3 8: [2] q^2 + q^3 11: [1] q^4 Neighbours of a point in 8: 3: [1] 1 6: [1] q 7: [1] q 8: [0] -1 - q + 2q^2 9: [1] q^3 10: [1] q^3 12: [1] q^4 Neighbours of a point in 9: 6: [2] 1 + q 8: [2] q + q^2 9: [0] -1 - q + q^2 + q^3 13: [1] q^3 14: [1] q^4 Neighbours of a point in 10: 5: [1] 1 8: [2] q + q^2 10: [1] -1 + q^2 + q^3 12: [2] q^3 + q^4 Neighbours of a point in 11: 7: [2] 1 + q 11: [0] -1 + q^2 12: [4] q^2 + 2q^3 + q^4 Neighbours of a point in 12: 8: [1] 1 10: [1] q 11: [1] q 12: [1] -1 - q + 2q^2 + q^3 14: [1] q^3 15: [1] q^4 Neighbours of a point in 13: 9: [3] 1 + q + q^2 13: [0] -1 + q^3 14: [3] q^2 + q^3 + q^4 Neighbours of a point in 14: 9: [1] 1 12: [2] q + q^2 13: [1] q 14: [0] -1 - q + q^2 + q^3 15: [2] q^3 + q^4 Neighbours of a point in 15: 12: [2] 1 + q 14: [2] q + q^2 15: [1] -1 - q + q^2 + 2q^3 16: [1] q^4 Neighbours of a point in 16: 15: [6] 1 + 2q + 2q^2 + q^3 16: [0] -1 - q + q^3 + q^4