################################################################### # # Small Latin squares with specific autotopisms # # AutRep[n][i] is the representative from the i-th equivalence class in Aut(n) # LatinRep[n][i] is a Latin square that admits the autotopism AutRep[n][i] # AutRep:=[]; LatinRep:=[]; AutRep[1]:=[[(),(),()]]; LatinRep[1]:=[[[1]]]; AutRep[2]:=[[(),(),()],[(),(1,2),(1,2)]]; LatinRep[2]:=[[[1,2],[2,1]],[[1,2],[2,1]]]; AutRep[3]:=[[(),(),()],[(),(1,2,3),(1,2,3)],[(1,2),(1,2),(1,2)],[(1,2,3),(1,2,3),(1,2,3)]]; LatinRep[3]:=[[[3,2,1],[1,3,2],[2,1,3]],[[1,2,3],[2,3,1],[3,1,2]],[[1,3,2],[3,2,1],[2,1,3]],[[1,3,2],[3,2,1],[2,1,3]]]; AutRep[4]:=[[(),(),()],[(),(1,2)(3,4),(1,2)(3,4)],[(),(1,2,3,4),(1,2,3,4)],[(1,2),(1,2),(1,2)],[(1,2),(1,2)(3,4),(1,2)(3,4)],[(1,2),(1,2,3,4),(1,2,3,4)],[(1,2)(3,4),(1,2)(3,4),(1,2)(3,4)],[(1,2)(3,4),(1,2,3,4),(1,2,3,4)],[(1,2,3),(1,2,3),(1,2,3)]]; LatinRep[4]:=[[[2,1,3,4],[3,4,2,1],[4,2,1,3],[1,3,4,2]],[[1,2,3,4],[2,1,4,3],[3,4,1,2],[4,3,2,1]],[[1,2,3,4],[2,3,4,1],[3,4,1,2],[4,1,2,3]],[[3,4,1,2],[4,3,2,1],[1,2,3,4],[2,1,4,3]],[[1,3,2,4],[4,2,3,1],[2,1,4,3],[3,4,1,2]],[[1,4,3,2],[3,2,1,4],[2,3,4,1],[4,1,2,3]],[[1,3,2,4],[4,2,3,1],[2,4,1,3],[3,1,4,2]],[[1,4,3,2],[3,2,1,4],[2,1,4,3],[4,3,2,1]],[[1,3,4,2],[4,2,1,3],[2,4,3,1],[3,1,2,4]]]; AutRep[5]:=[[(),(),()],[(),(1,2,3,4,5),(1,2,3,4,5)],[(1,2)(3,4),(1,2)(3,4),(1,2)(3,4)],[(1,2,3),(1,2,3),(1,2,3)],[(1,2,3,4),(1,2,3,4),(1,2,3,4)],[(1,2,3,4,5),(1,2,3,4,5),(1,2,3,4,5)]]; LatinRep[5]:=[[[4,5,3,1,2],[1,3,5,2,4],[5,1,2,4,3],[2,4,1,3,5],[3,2,4,5,1]],[[1,2,3,4,5],[2,3,4,5,1],[3,4,5,1,2],[4,5,1,2,3],[5,1,2,3,4]],[[1,3,2,5,4],[4,2,5,1,3],[3,5,1,4,2],[5,4,3,2,1],[2,1,4,3,5]],[[1,4,5,2,3],[5,2,4,3,1],[4,5,3,1,2],[2,3,1,4,5],[3,1,2,5,4]],[[1,3,2,5,4],[5,2,4,3,1],[4,5,3,1,2],[2,1,5,4,3],[3,4,1,2,5]],[[1,3,5,2,4],[5,2,4,1,3],[4,1,3,5,2],[3,5,2,4,1],[2,4,1,3,5]]];; AutRep[6]:=[[(),(),()],[(),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2)(3,4),(1,2)(3,4),(1,2)(3,4)],[(1,2)(3,4),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2)(3,4),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2)(3,4)(5,6),(1,2,3)(4,5,6),(1,2,3,4,5,6)],[(1,2,3),(1,2,3),(1,2,3)],[(1,2,3),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3)(4,5),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3)(4,5,6),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3,4),(1,2,3,4),(1,2,3,4)],[(1,2,3,4,5),(1,2,3,4,5),(1,2,3,4,5)]]; LatinRep[6]:=[[[5,3,4,6,1,2],[6,1,5,2,3,4],[2,4,1,5,6,3],[3,6,2,1,4,5],[1,5,3,4,2,6],[4,2,6,3,5,1]],[[1,2,3,4,5,6],[2,1,4,3,6,5],[3,4,5,6,1,2],[4,3,6,5,2,1],[5,6,1,2,3,4],[6,5,2,1,4,3]],[[1,2,3,4,5,6],[2,3,1,5,6,4],[3,1,2,6,4,5],[4,5,6,1,2,3],[5,6,4,2,3,1],[6,4,5,3,1,2]],[[1,2,3,4,5,6],[2,3,4,5,6,1],[3,4,5,6,1,2],[4,5,6,1,2,3],[5,6,1,2,3,4],[6,1,2,3,4,5]],[[1,3,2,5,4,6],[4,2,6,1,5,3],[2,1,3,4,6,5],[3,4,5,6,1,2],[5,6,1,2,3,4],[6,5,4,3,2,1]],[[1,4,3,6,5,2],[3,2,5,4,1,6],[2,3,4,5,6,1],[4,5,6,1,2,3],[5,6,1,2,3,4],[6,1,2,3,4,5]],[[1,3,5,6,2,4],[4,2,6,5,1,3],[5,6,1,3,4,2],[6,5,4,2,3,1],[2,1,3,4,5,6],[3,4,2,1,6,5]],[[1,3,2,5,4,6],[4,2,6,1,5,3],[2,4,1,6,3,5],[3,1,5,2,6,4],[5,6,3,4,1,2],[6,5,4,3,2,1]],[[1,4,3,6,5,2],[3,2,5,4,1,6],[2,1,4,3,6,5],[6,3,2,5,4,1],[4,5,6,1,2,3],[5,6,1,2,3,4]],[[1,5,3,2,6,4],[4,2,6,5,3,1],[2,6,4,1,5,3],[5,3,1,4,2,6],[3,1,5,6,4,2],[6,4,2,3,1,5]],[[4,5,6,1,2,3],[6,4,5,2,3,1],[5,6,4,3,1,2],[1,2,3,4,5,6],[2,3,1,5,6,4],[3,1,2,6,4,5]],[[1,3,2,4,6,5],[3,2,1,6,5,4],[2,1,3,5,4,6],[4,5,6,1,2,3],[5,6,4,2,3,1],[6,4,5,3,1,2]],[[1,3,2,4,6,5],[6,2,4,3,5,1],[2,1,3,5,4,6],[3,4,5,6,1,2],[4,5,6,1,2,3],[5,6,1,2,3,4]],[[1,3,2,4,6,5],[6,2,4,3,5,1],[2,1,3,5,4,6],[3,6,5,2,1,4],[5,4,1,6,3,2],[4,5,6,1,2,3]],[[1,3,2,4,6,5],[3,2,1,6,5,4],[2,1,3,5,4,6],[4,6,5,1,3,2],[6,5,4,3,2,1],[5,4,6,2,1,3]],[[1,3,2,4,6,5],[6,2,4,3,5,1],[2,1,3,5,4,6],[3,5,1,6,2,4],[5,4,6,2,1,3],[4,6,5,1,3,2]],[[1,3,5,6,2,4],[6,2,4,5,3,1],[5,6,3,1,4,2],[2,5,6,4,1,3],[3,4,1,2,5,6],[4,1,2,3,6,5]],[[1,3,5,2,6,4],[6,2,4,1,3,5],[4,6,3,5,2,1],[3,5,6,4,1,2],[2,4,1,6,5,3],[5,1,2,3,4,6]]]; AutRep[7]:=[[(),(),()],[(),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)],[(1,2)(3,4),(1,2)(3,4),(1,2)(3,4)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3,4),(1,2,3,4),(1,2,3,4)],[(1,2,3,4)(5,6),(1,2,3,4)(5,6),(1,2,3,4)(5,6)],[(1,2,3,4,5),(1,2,3,4,5),(1,2,3,4,5)],[(1,2,3,4,5,6),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)]]; LatinRep[7]:=[[[4,7,6,2,3,5,1],[6,1,3,7,5,4,2],[7,2,4,5,6,1,3],[3,5,1,4,2,7,6],[1,4,2,3,7,6,5],[2,6,5,1,4,3,7],[5,3,7,6,1,2,4]],[[1,2,3,4,5,6,7],[2,3,4,5,6,7,1],[3,4,5,6,7,1,2],[4,5,6,7,1,2,3],[5,6,7,1,2,3,4],[6,7,1,2,3,4,5],[7,1,2,3,4,5,6]],[[1,5,6,7,2,3,4],[5,2,7,6,1,4,3],[6,7,3,5,4,1,2],[7,6,5,4,3,2,1],[2,1,4,3,7,6,5],[3,4,1,2,6,5,7],[4,3,2,1,5,7,6]],[[1,3,2,4,5,7,6],[4,2,3,1,7,6,5],[2,4,5,7,6,1,3],[3,1,7,6,2,5,4],[5,7,6,3,1,4,2],[7,6,4,5,3,2,1],[6,5,1,2,4,3,7]],[[1,3,2,4,6,7,5],[3,2,1,7,5,4,6],[2,1,3,5,7,6,4],[4,6,7,1,3,5,2],[7,5,4,6,2,1,3],[5,7,6,2,4,3,1],[6,4,5,3,1,2,7]],[[1,5,6,7,2,3,4],[7,2,5,6,3,4,1],[6,7,3,5,4,1,2],[5,6,7,4,1,2,3],[2,3,4,1,5,6,7],[3,4,1,2,6,7,5],[4,1,2,3,7,5,6]],[[1,5,7,6,2,4,3],[5,2,6,7,1,3,4],[7,6,3,5,4,2,1],[6,7,5,4,3,1,2],[2,1,4,3,5,7,6],[4,3,2,1,7,6,5],[3,4,1,2,6,5,7]],[[1,3,2,6,7,4,5],[7,2,4,3,6,5,1],[6,7,3,5,4,1,2],[5,6,7,4,1,2,3],[2,1,6,7,5,3,4],[3,4,5,1,2,6,7],[4,5,1,2,3,7,6]],[[1,3,2,6,7,4,5],[5,2,4,3,1,7,6],[7,6,3,5,4,2,1],[3,7,1,4,6,5,2],[6,4,7,2,5,1,3],[2,1,5,7,3,6,4],[4,5,6,1,2,3,7]],[[1,3,5,7,2,4,6],[7,2,4,6,1,3,5],[6,1,3,5,7,2,4],[5,7,2,4,6,1,3],[4,6,1,3,5,7,2],[3,5,7,2,4,6,1],[2,4,6,1,3,5,7]]]; AutRep[8]:=[[(),(),()],[(),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2)(3,4),(1,2)(3,4),(1,2)(3,4)],[(1,2)(3,4),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2)(3,4),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3)(4,5,6),(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8)],[(1,2,3,4),(1,2,3,4),(1,2,3,4)],[(1,2,3,4),(1,2,3,4)(5,6)(7,8),(1,2,3,4)(5,6)(7,8)],[(1,2,3,4),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4)(5,6),(1,2,3,4)(5,6),(1,2,3,4)(5,6)],[(1,2,3,4)(5,6),(1,2,3,4)(5,6)(7,8),(1,2,3,4)(5,6)(7,8)],[(1,2,3,4)(5,6),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4)(5,6)(7,8),(1,2,3,4)(5,6)(7,8)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5),(1,2,3,4,5),(1,2,3,4,5)],[(1,2,3,4,5,6),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3,4,5,6),(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)]]; LatinRep[8]:=[[[2,6,3,4,1,5,8,7],[1,4,7,2,3,6,5,8],[6,2,1,8,5,4,7,3],[5,8,2,7,6,3,4,1],[3,7,5,1,4,8,6,2],[8,5,6,3,7,2,1,4],[4,1,8,5,2,7,3,6],[7,3,4,6,8,1,2,5]],[[1,2,3,4,5,6,7,8],[2,1,4,3,6,5,8,7],[3,4,1,2,7,8,5,6],[4,3,2,1,8,7,6,5],[5,6,7,8,1,2,3,4],[6,5,8,7,2,1,4,3],[7,8,5,6,3,4,1,2],[8,7,6,5,4,3,2,1]],[[1,2,3,4,5,6,7,8],[2,3,4,1,6,7,8,5],[3,4,1,2,7,8,5,6],[4,1,2,3,8,5,6,7],[5,6,7,8,1,2,3,4],[6,7,8,5,2,3,4,1],[7,8,5,6,3,4,1,2],[8,5,6,7,4,1,2,3]],[[1,2,3,4,5,6,7,8],[2,3,4,5,6,7,8,1],[3,4,5,6,7,8,1,2],[4,5,6,7,8,1,2,3],[5,6,7,8,1,2,3,4],[6,7,8,1,2,3,4,5],[7,8,1,2,3,4,5,6],[8,1,2,3,4,5,6,7]],[[1,3,2,4,5,7,6,8],[4,2,3,1,8,6,7,5],[2,1,4,3,6,5,8,7],[3,4,1,2,7,8,5,6],[5,6,7,8,1,2,3,4],[6,5,8,7,2,1,4,3],[7,8,5,6,3,4,1,2],[8,7,6,5,4,3,2,1]],[[1,4,3,2,5,8,7,6],[3,2,1,4,7,6,5,8],[2,3,4,1,6,7,8,5],[4,1,2,3,8,5,6,7],[5,6,7,8,1,2,3,4],[6,7,8,5,2,3,4,1],[7,8,5,6,3,4,1,2],[8,5,6,7,4,1,2,3]],[[1,4,3,6,5,8,7,2],[3,2,5,4,7,6,1,8],[2,3,4,5,6,7,8,1],[4,5,6,7,8,1,2,3],[5,6,7,8,1,2,3,4],[6,7,8,1,2,3,4,5],[7,8,1,2,3,4,5,6],[8,1,2,3,4,5,6,7]],[[5,6,7,8,1,2,3,4],[6,5,8,7,2,1,4,3],[7,8,5,6,3,4,1,2],[8,7,6,5,4,3,2,1],[1,2,3,4,7,8,5,6],[2,1,4,3,5,6,7,8],[3,4,1,2,8,7,6,5],[4,3,2,1,6,5,8,7]],[[1,3,2,4,5,7,6,8],[4,2,3,1,8,6,7,5],[2,4,1,3,6,8,5,7],[3,1,4,2,7,5,8,6],[5,6,7,8,1,2,3,4],[6,5,8,7,2,1,4,3],[7,8,5,6,3,4,1,2],[8,7,6,5,4,3,2,1]],[[1,4,3,2,5,8,7,6],[3,2,1,4,7,6,5,8],[2,1,4,3,6,5,8,7],[4,3,2,1,8,7,6,5],[5,6,7,8,1,2,3,4],[6,7,8,5,2,3,4,1],[7,8,5,6,3,4,1,2],[8,5,6,7,4,1,2,3]],[[1,4,3,6,5,8,7,2],[3,2,5,4,7,6,1,8],[2,1,4,3,6,5,8,7],[8,3,2,5,4,7,6,1],[4,5,6,7,8,1,2,3],[5,6,7,8,1,2,3,4],[6,7,8,1,2,3,4,5],[7,8,1,2,3,4,5,6]],[[1,3,2,4,7,8,5,6],[4,2,3,1,8,7,6,5],[2,5,7,8,1,6,3,4],[6,1,8,7,5,2,4,3],[7,8,4,5,6,3,1,2],[8,7,6,3,4,5,2,1],[3,4,5,6,2,1,8,7],[5,6,1,2,3,4,7,8]],[[1,3,2,4,5,7,6,8],[4,2,3,1,8,6,7,5],[2,4,1,3,6,8,5,7],[3,1,4,2,7,5,8,6],[5,7,6,8,1,3,2,4],[8,6,7,5,4,2,3,1],[6,5,8,7,2,1,4,3],[7,8,5,6,3,4,1,2]],[[1,4,3,2,5,8,7,6],[3,2,1,4,7,6,5,8],[2,1,4,3,6,5,8,7],[4,3,2,1,8,7,6,5],[5,8,7,6,1,4,3,2],[7,6,5,8,3,2,1,4],[6,7,8,5,2,3,4,1],[8,5,6,7,4,1,2,3]],[[1,4,3,6,5,8,7,2],[3,2,5,4,7,6,1,8],[2,1,4,3,6,5,8,7],[8,3,2,5,4,7,6,1],[4,7,6,1,8,3,2,5],[6,5,8,7,2,1,4,3],[5,6,7,8,1,2,3,4],[7,8,1,2,3,4,5,6]],[[1,3,2,4,5,7,6,8],[4,2,3,1,8,6,7,5],[2,4,1,3,6,8,5,7],[3,1,4,2,7,5,8,6],[5,7,6,8,1,3,2,4],[8,6,7,5,4,2,3,1],[6,8,5,7,2,4,1,3],[7,5,8,6,3,1,4,2]],[[1,4,3,2,5,8,7,6],[3,2,1,4,7,6,5,8],[2,1,4,3,6,5,8,7],[4,3,2,1,8,7,6,5],[5,8,7,6,1,4,3,2],[7,6,5,8,3,2,1,4],[6,5,8,7,2,1,4,3],[8,7,6,5,4,3,2,1]],[[1,4,3,6,5,8,7,2],[3,2,5,4,7,6,1,8],[2,1,4,3,6,5,8,7],[8,3,2,5,4,7,6,1],[4,7,6,1,8,3,2,5],[6,5,8,7,2,1,4,3],[5,8,7,2,1,4,3,6],[7,6,1,8,3,2,5,4]],[[1,3,2,4,7,8,5,6],[3,2,1,8,5,7,6,4],[2,1,3,7,8,6,4,5],[4,7,8,1,6,5,2,3],[8,5,7,6,2,4,3,1],[7,8,6,5,4,3,1,2],[5,6,4,2,3,1,7,8],[6,4,5,3,1,2,8,7]],[[1,3,7,4,6,8,2,5],[7,2,4,8,5,1,6,3],[2,8,3,5,7,6,4,1],[3,1,8,6,4,7,5,2],[8,4,2,7,1,5,3,6],[6,7,5,3,8,2,1,4],[4,5,6,1,2,3,7,8],[5,6,1,2,3,4,8,7]],[[5,6,7,8,1,2,3,4],[8,5,6,7,2,3,4,1],[7,8,5,6,3,4,1,2],[6,7,8,5,4,1,2,3],[1,2,3,4,6,7,8,5],[2,3,4,1,7,8,5,6],[3,4,1,2,8,5,6,7],[4,1,2,3,5,6,7,8]],[[5,7,6,8,1,3,2,4],[7,6,8,5,4,2,1,3],[6,8,5,7,3,1,4,2],[8,5,7,6,2,4,3,1],[1,2,3,4,6,5,7,8],[4,1,2,3,5,6,8,7],[3,4,1,2,7,8,5,6],[2,3,4,1,8,7,6,5]],[[1,3,2,5,4,6,8,7],[6,2,4,3,8,1,7,5],[4,7,3,1,6,5,2,8],[2,1,8,4,5,7,6,3],[3,4,1,2,7,8,5,6],[5,6,7,8,1,2,3,4],[7,8,5,6,2,3,4,1],[8,5,6,7,3,4,1,2]],[[1,3,2,8,5,7,6,4],[5,2,4,3,1,6,8,7],[8,6,3,5,4,2,7,1],[2,1,7,4,6,5,3,8],[3,4,5,6,7,8,1,2],[4,5,6,7,8,1,2,3],[6,7,8,1,2,3,4,5],[7,8,1,2,3,4,5,6]],[[5,7,6,8,1,3,2,4],[8,6,7,5,4,2,3,1],[6,8,5,7,3,1,4,2],[7,5,8,6,2,4,1,3],[1,4,3,2,8,7,5,6],[3,2,1,4,7,8,6,5],[2,3,4,1,5,6,7,8],[4,1,2,3,6,5,8,7]],[[5,7,6,8,1,3,2,4],[7,6,8,5,4,2,1,3],[6,8,5,7,3,1,4,2],[8,5,7,6,2,4,3,1],[1,4,3,2,7,5,6,8],[3,2,1,4,6,8,7,5],[2,3,4,1,5,6,8,7],[4,1,2,3,8,7,5,6]],[[1,3,2,5,4,6,8,7],[6,2,4,3,8,1,7,5],[4,7,3,1,6,5,2,8],[2,1,8,4,5,7,6,3],[3,5,1,7,2,8,4,6],[8,4,6,2,7,3,5,1],[5,6,7,8,1,2,3,4],[7,8,5,6,3,4,1,2]],[[1,3,2,8,5,7,6,4],[5,2,4,3,1,6,8,7],[8,6,3,5,4,2,7,1],[2,1,7,4,6,5,3,8],[3,8,5,2,7,4,1,6],[7,4,1,6,3,8,5,2],[4,5,6,7,8,1,2,3],[6,7,8,1,2,3,4,5]],[[5,7,6,8,1,3,2,4],[7,6,8,5,4,2,1,3],[6,8,5,7,3,1,4,2],[8,5,7,6,2,4,3,1],[1,4,3,2,6,8,5,7],[3,2,1,4,7,5,8,6],[2,1,4,3,5,7,6,8],[4,3,2,1,8,6,7,5]],[[1,3,2,5,4,6,8,7],[6,2,4,3,8,1,7,5],[4,7,3,1,6,5,2,8],[2,1,8,4,5,7,6,3],[3,5,1,7,2,8,4,6],[8,4,6,2,7,3,5,1],[5,8,7,6,1,4,3,2],[7,6,5,8,3,2,1,4]],[[1,3,2,8,5,7,6,4],[5,2,4,3,1,6,8,7],[8,6,3,5,4,2,7,1],[2,1,7,4,6,5,3,8],[3,8,5,2,7,4,1,6],[7,4,1,6,3,8,5,2],[4,7,6,1,8,3,2,5],[6,5,8,7,2,1,4,3]],[[1,3,2,5,4,6,8,7],[6,2,4,3,8,1,7,5],[4,7,3,1,6,5,2,8],[2,1,8,4,5,7,6,3],[3,5,7,6,1,8,4,2],[7,4,6,8,3,2,5,1],[5,8,1,7,2,4,3,6],[8,6,5,2,7,3,1,4]],[[1,3,2,8,5,7,6,4],[5,2,4,3,1,6,8,7],[8,6,3,5,4,2,7,1],[2,1,7,4,6,5,3,8],[3,5,8,2,7,1,4,6],[7,4,6,1,3,8,2,5],[6,8,5,7,2,4,1,3],[4,7,1,6,8,3,5,2]],[[1,3,6,7,8,2,4,5],[8,2,4,6,7,3,5,1],[7,8,3,5,6,4,1,2],[6,7,8,4,1,5,2,3],[2,6,7,8,5,1,3,4],[3,4,5,1,2,6,7,8],[4,5,1,2,3,7,8,6],[5,1,2,3,4,8,6,7]],[[1,3,2,6,7,8,4,5],[8,2,4,3,1,7,5,6],[7,8,3,5,4,2,6,1],[3,7,8,4,6,5,1,2],[6,4,7,8,5,1,2,3],[2,1,5,7,8,6,3,4],[4,5,6,1,2,3,7,8],[5,6,1,2,3,4,8,7]],[[1,3,5,7,2,8,4,6],[7,2,4,6,8,3,1,5],[4,8,3,5,1,7,6,2],[8,5,7,4,6,2,3,1],[3,7,6,8,5,1,2,4],[2,4,8,1,7,6,5,3],[5,6,1,2,3,4,7,8],[6,1,2,3,4,5,8,7]],[[1,3,5,7,2,4,8,6],[8,2,4,6,1,3,5,7],[6,8,3,5,7,2,4,1],[5,7,8,4,6,1,3,2],[4,6,1,8,5,7,2,3],[3,5,7,2,8,6,1,4],[2,4,6,1,3,8,7,5],[7,1,2,3,4,5,6,8]]]; AutRep[9]:=[[(),(),()],[(),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2,3),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3)(4,5)(6,7)(8,9),(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4,5),(1,2,3,4,5),(1,2,3,4,5)],[(1,2,3,4,5,6),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3,4,5,6),(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)],[(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8)],[(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)]]; LatinRep[9]:=[[[5,8,7,9,6,3,4,1,2],[9,5,2,7,3,1,6,4,8],[8,4,6,3,7,5,9,2,1],[7,6,3,1,2,8,5,9,4],[1,2,4,5,9,7,8,6,3],[3,9,1,4,5,2,7,8,6],[4,1,9,2,8,6,3,7,5],[2,3,8,6,4,9,1,5,7],[6,7,5,8,1,4,2,3,9]],[[1,2,3,4,5,6,7,8,9],[2,3,1,5,6,4,8,9,7],[3,1,2,6,4,5,9,7,8],[4,5,6,7,8,9,1,2,3],[5,6,4,8,9,7,2,3,1],[6,4,5,9,7,8,3,1,2],[7,8,9,1,2,3,4,5,6],[8,9,7,2,3,1,5,6,4],[9,7,8,3,1,2,6,4,5]],[[1,2,3,4,5,6,7,8,9],[2,3,4,5,6,7,8,9,1],[3,4,5,6,7,8,9,1,2],[4,5,6,7,8,9,1,2,3],[5,6,7,8,9,1,2,3,4],[6,7,8,9,1,2,3,4,5],[7,8,9,1,2,3,4,5,6],[8,9,1,2,3,4,5,6,7],[9,1,2,3,4,5,6,7,8]],[[1,3,2,7,8,9,4,5,6],[4,2,7,1,9,8,3,6,5],[2,7,8,9,3,5,6,1,4],[7,1,9,8,6,4,5,2,3],[8,9,3,5,7,6,1,4,2],[9,8,6,4,5,7,2,3,1],[3,4,5,6,1,2,7,9,8],[5,6,1,2,4,3,9,8,7],[6,5,4,3,2,1,8,7,9]],[[1,7,3,9,5,8,2,6,4],[9,2,8,4,7,6,5,3,1],[2,8,4,7,6,9,1,5,3],[7,3,9,5,8,1,4,2,6],[3,9,5,8,1,7,6,4,2],[8,4,7,6,9,2,3,1,5],[4,5,6,1,2,3,7,8,9],[5,6,1,2,3,4,8,9,7],[6,1,2,3,4,5,9,7,8]],[[1,3,2,4,5,7,6,9,8],[4,2,3,1,8,6,9,5,7],[2,4,1,3,7,9,5,8,6],[3,1,4,2,9,8,7,6,5],[5,7,6,9,1,3,8,2,4],[8,6,9,5,4,2,1,7,3],[7,9,5,8,6,4,2,3,1],[9,8,7,6,3,5,4,1,2],[6,5,8,7,2,1,3,4,9]],[[1,3,2,4,6,5,7,9,8],[3,2,1,6,5,4,9,8,7],[2,1,3,5,4,6,8,7,9],[4,5,6,7,8,9,1,2,3],[5,6,4,8,9,7,2,3,1],[6,4,5,9,7,8,3,1,2],[7,8,9,1,2,3,4,5,6],[8,9,7,2,3,1,5,6,4],[9,7,8,3,1,2,6,4,5]],[[1,3,2,4,6,5,7,9,8],[9,2,4,3,5,7,6,8,1],[2,1,3,5,4,6,8,7,9],[3,4,5,6,7,8,9,1,2],[4,5,6,7,8,9,1,2,3],[5,6,7,8,9,1,2,3,4],[6,7,8,9,1,2,3,4,5],[7,8,9,1,2,3,4,5,6],[8,9,1,2,3,4,5,6,7]],[[1,3,2,4,6,5,7,9,8],[6,2,4,3,5,1,9,8,7],[2,1,3,5,4,6,8,7,9],[7,4,9,6,8,2,1,5,3],[3,8,5,7,1,9,4,2,6],[4,9,6,8,2,7,3,1,5],[8,5,7,1,9,3,6,4,2],[5,7,1,9,3,8,2,6,4],[9,6,8,2,7,4,5,3,1]],[[1,3,2,7,8,9,4,5,6],[3,2,1,9,7,8,5,6,4],[2,1,3,8,9,7,6,4,5],[7,8,9,4,6,5,1,2,3],[9,7,8,6,5,4,2,3,1],[8,9,7,5,4,6,3,1,2],[4,5,6,1,2,3,9,8,7],[5,6,4,2,3,1,8,7,9],[6,4,5,3,1,2,7,9,8]],[[1,3,2,4,6,5,7,9,8],[3,2,1,6,5,4,9,8,7],[2,1,3,5,4,6,8,7,9],[4,6,5,7,9,8,1,3,2],[6,5,4,9,8,7,3,2,1],[5,4,6,8,7,9,2,1,3],[7,8,9,1,2,3,4,5,6],[8,9,7,2,3,1,5,6,4],[9,7,8,3,1,2,6,4,5]],[[1,3,2,4,6,5,7,9,8],[9,2,4,3,5,7,6,8,1],[2,1,3,5,4,6,8,7,9],[3,5,1,6,8,4,9,2,7],[8,4,6,2,7,9,5,1,3],[4,9,5,7,3,8,1,6,2],[5,6,7,8,9,1,2,3,4],[6,7,8,9,1,2,3,4,5],[7,8,9,1,2,3,4,5,6]],[[1,3,2,4,6,5,7,9,8],[3,2,1,6,5,4,9,8,7],[2,1,3,5,4,6,8,7,9],[4,6,5,7,9,8,1,3,2],[6,5,4,9,8,7,3,2,1],[5,4,6,8,7,9,2,1,3],[7,9,8,1,3,2,4,6,5],[9,8,7,3,2,1,6,5,4],[8,7,9,2,1,3,5,4,6]],[[1,3,2,4,6,5,7,9,8],[9,2,4,3,5,7,6,8,1],[2,1,3,5,4,6,8,7,9],[3,5,1,6,8,4,9,2,7],[8,4,6,2,7,9,5,1,3],[4,9,5,7,3,8,1,6,2],[5,7,9,8,1,3,2,4,6],[7,6,8,1,9,2,4,3,5],[6,8,7,9,2,1,3,5,4]],[[1,3,2,5,4,6,8,9,7],[6,2,4,3,9,1,7,5,8],[4,7,3,1,6,9,2,8,5],[2,1,8,4,5,7,9,3,6],[3,5,7,9,1,8,6,2,4],[9,4,6,8,3,2,5,7,1],[5,9,1,7,8,4,3,6,2],[8,6,9,2,7,5,1,4,3],[7,8,5,6,2,3,4,1,9]],[[1,6,7,8,9,2,3,4,5],[9,2,6,7,8,3,4,5,1],[8,9,3,6,7,4,5,1,2],[7,8,9,4,6,5,1,2,3],[6,7,8,9,5,1,2,3,4],[2,3,4,5,1,7,8,9,6],[3,4,5,1,2,8,9,6,7],[4,5,1,2,3,9,6,7,8],[5,1,2,3,4,6,7,8,9]],[[1,3,2,7,8,9,4,5,6],[9,2,4,3,7,8,5,6,1],[8,9,3,5,4,7,6,1,2],[7,8,9,4,6,5,1,2,3],[6,7,8,9,5,1,2,3,4],[2,1,7,8,9,6,3,4,5],[3,4,5,6,1,2,7,8,9],[4,5,6,1,2,3,8,9,7],[5,6,1,2,3,4,9,7,8]],[[1,3,2,7,9,8,4,6,5],[9,2,4,3,8,7,6,5,1],[8,7,3,5,4,9,2,1,6],[7,9,8,4,6,5,1,3,2],[6,8,7,9,5,1,3,2,4],[2,1,9,8,7,6,5,4,3],[3,4,5,6,1,2,7,8,9],[4,5,6,1,2,3,8,9,7],[5,6,1,2,3,4,9,7,8]],[[1,3,2,7,9,8,4,6,5],[7,2,4,3,8,9,1,5,6],[9,8,3,5,4,7,6,2,1],[8,9,7,4,6,5,3,1,2],[6,7,9,8,5,1,2,4,3],[2,1,8,9,7,6,5,3,4],[3,6,5,2,1,4,7,9,8],[5,4,1,6,3,2,9,8,7],[4,5,6,1,2,3,8,7,9]],[[1,3,2,7,9,8,4,6,5],[9,2,4,3,8,7,6,5,1],[8,7,3,5,4,9,2,1,6],[7,9,8,4,6,5,1,3,2],[6,8,7,9,5,1,3,2,4],[2,1,9,8,7,6,5,4,3],[3,5,1,6,2,4,7,9,8],[5,4,6,2,1,3,9,8,7],[4,6,5,1,3,2,8,7,9]],[[1,3,2,6,8,4,9,5,7],[9,2,4,3,7,8,5,6,1],[6,9,3,5,4,1,8,7,2],[8,7,9,4,6,5,2,1,3],[3,8,1,9,5,7,6,2,4],[7,4,8,2,9,6,1,3,5],[2,1,5,8,3,9,7,4,6],[4,5,6,7,1,2,3,8,9],[5,6,7,1,2,3,4,9,8]],[[1,3,2,6,8,4,9,5,7],[6,2,4,3,7,1,5,9,8],[9,7,3,5,4,8,2,6,1],[7,9,8,4,6,5,1,3,2],[4,8,9,1,5,7,6,2,3],[3,5,1,9,2,6,8,7,4],[8,4,6,2,9,3,7,1,5],[2,1,5,7,3,9,4,8,6],[5,6,7,8,1,2,3,4,9]],[[1,3,2,7,9,8,4,6,5],[6,2,4,3,8,1,9,5,7],[8,7,3,5,4,9,2,1,6],[7,9,8,4,6,5,1,3,2],[3,8,1,9,5,7,6,2,4],[5,4,9,2,1,6,8,7,3],[4,6,5,1,3,2,7,9,8],[9,5,7,6,2,4,3,8,1],[2,1,6,8,7,3,5,4,9]]]; AutRep[10]:=[[(),(),()],[(),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2)(3,4),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3)(4,5,6),(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)],[(1,2,3)(4,5,6)(7,8),(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)],[(1,2,3)(4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10)],[(1,2,3,4,5),(1,2,3,4,5),(1,2,3,4,5)],[(1,2,3,4,5),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5)(6,7),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5)(6,7)(8,9),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3,4,5,6),(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)],[(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8)],[(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)],[(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)]]; LatinRep[10]:=[[[4,1,9,5,2,8,10,3,7,6],[5,3,10,9,8,7,2,1,6,4],[6,7,5,10,9,1,4,8,3,2],[3,9,7,1,4,10,8,6,2,5],[1,6,8,2,3,4,5,7,9,10],[10,4,2,3,5,6,7,9,1,8],[9,2,1,8,7,5,6,4,10,3],[7,8,6,4,10,3,9,2,5,1],[8,5,3,7,6,2,1,10,4,9],[2,10,4,6,1,9,3,5,8,7]],[[1,2,3,4,5,6,7,8,9,10],[2,1,4,3,6,5,8,7,10,9],[3,4,1,2,7,8,9,10,5,6],[4,3,2,1,8,7,10,9,6,5],[5,6,7,8,9,10,1,2,3,4],[6,5,8,7,10,9,2,1,4,3],[7,8,9,10,3,4,5,6,1,2],[8,7,10,9,4,3,6,5,2,1],[9,10,5,6,1,2,3,4,7,8],[10,9,6,5,2,1,4,3,8,7]],[[1,2,3,4,5,6,7,8,9,10],[2,3,4,5,1,7,8,9,10,6],[3,4,5,1,2,8,9,10,6,7],[4,5,1,2,3,9,10,6,7,8],[5,1,2,3,4,10,6,7,8,9],[6,7,8,9,10,1,2,3,4,5],[7,8,9,10,6,2,3,4,5,1],[8,9,10,6,7,3,4,5,1,2],[9,10,6,7,8,4,5,1,2,3],[10,6,7,8,9,5,1,2,3,4]],[[1,2,3,4,5,6,7,8,9,10],[2,3,4,5,6,7,8,9,10,1],[3,4,5,6,7,8,9,10,1,2],[4,5,6,7,8,9,10,1,2,3],[5,6,7,8,9,10,1,2,3,4],[6,7,8,9,10,1,2,3,4,5],[7,8,9,10,1,2,3,4,5,6],[8,9,10,1,2,3,4,5,6,7],[9,10,1,2,3,4,5,6,7,8],[10,1,2,3,4,5,6,7,8,9]],[[1,3,2,4,5,7,6,9,8,10],[4,2,3,1,8,6,10,5,9,7],[2,1,4,3,6,5,7,8,10,9],[3,4,1,2,7,8,9,10,5,6],[5,6,7,8,9,10,1,2,3,4],[6,5,8,7,10,9,2,1,4,3],[7,8,9,10,1,2,3,4,6,5],[8,7,10,9,3,4,5,6,1,2],[9,10,5,6,2,1,4,3,7,8],[10,9,6,5,4,3,8,7,2,1]],[[1,4,3,6,5,8,7,10,9,2],[3,2,5,4,7,6,9,8,1,10],[2,3,4,5,6,7,8,9,10,1],[4,5,6,7,8,9,10,1,2,3],[5,6,7,8,9,10,1,2,3,4],[6,7,8,9,10,1,2,3,4,5],[7,8,9,10,1,2,3,4,5,6],[8,9,10,1,2,3,4,5,6,7],[9,10,1,2,3,4,5,6,7,8],[10,1,2,3,4,5,6,7,8,9]],[[1,3,2,4,5,7,6,9,8,10],[4,2,3,1,8,6,10,5,9,7],[2,4,1,3,6,8,5,10,7,9],[3,1,4,2,7,5,9,6,10,8],[5,6,7,8,9,10,1,2,3,4],[6,5,8,7,10,9,2,1,4,3],[7,8,9,10,1,2,3,4,5,6],[8,7,10,9,2,1,4,3,6,5],[9,10,5,6,3,4,7,8,1,2],[10,9,6,5,4,3,8,7,2,1]],[[1,4,3,6,5,8,7,10,9,2],[3,2,5,4,7,6,9,8,1,10],[2,1,4,3,6,5,8,7,10,9],[10,3,2,5,4,7,6,9,8,1],[4,5,6,7,8,9,10,1,2,3],[5,6,7,8,9,10,1,2,3,4],[6,7,8,9,10,1,2,3,4,5],[7,8,9,10,1,2,3,4,5,6],[8,9,10,1,2,3,4,5,6,7],[9,10,1,2,3,4,5,6,7,8]],[[10,6,7,8,9,1,3,5,2,4],[5,10,8,7,2,9,4,6,1,3],[3,9,10,1,7,8,5,2,4,6],[9,4,2,10,8,7,6,1,3,5],[8,7,5,9,10,3,2,4,6,1],[7,8,9,6,4,10,1,3,5,2],[2,1,4,3,6,5,9,10,7,8],[4,3,6,5,1,2,10,7,8,9],[6,5,1,2,3,4,7,8,9,10],[1,2,3,4,5,6,8,9,10,7]],[[1,3,2,4,5,7,6,9,8,10],[4,2,3,1,8,6,10,5,9,7],[2,4,1,3,6,8,5,10,7,9],[3,1,4,2,7,5,9,6,10,8],[5,7,6,9,1,10,3,8,2,4],[8,6,10,5,9,2,7,4,3,1],[6,5,7,8,10,9,1,2,4,3],[7,8,9,10,2,1,4,3,5,6],[9,10,5,6,3,4,8,7,1,2],[10,9,8,7,4,3,2,1,6,5]],[[1,4,3,6,5,8,7,10,9,2],[3,2,5,4,7,6,9,8,1,10],[2,1,4,3,6,5,8,7,10,9],[10,3,2,5,4,7,6,9,8,1],[4,7,6,9,8,1,10,3,2,5],[6,5,8,7,10,9,2,1,4,3],[5,6,7,8,9,10,1,2,3,4],[7,8,9,10,1,2,3,4,5,6],[8,9,10,1,2,3,4,5,6,7],[9,10,1,2,3,4,5,6,7,8]],[[1,3,2,4,5,7,9,10,6,8],[4,2,3,1,8,6,10,9,5,7],[2,4,1,3,9,10,5,7,8,6],[3,1,4,2,10,9,8,6,7,5],[5,7,9,10,1,3,6,8,2,4],[8,6,10,9,4,2,7,5,1,3],[9,10,5,7,6,8,1,3,4,2],[10,9,8,6,7,5,4,2,3,1],[6,5,7,8,2,1,3,4,9,10],[7,8,6,5,3,4,2,1,10,9]],[[1,3,2,4,5,7,6,9,8,10],[4,2,3,1,8,6,10,5,9,7],[2,4,1,3,6,8,5,10,7,9],[3,1,4,2,7,5,9,6,10,8],[5,7,6,9,1,10,3,8,2,4],[8,6,10,5,9,2,7,4,3,1],[6,8,5,10,2,9,4,7,1,3],[7,5,9,6,10,1,8,3,4,2],[9,10,7,8,3,4,1,2,5,6],[10,9,8,7,4,3,2,1,6,5]],[[1,4,3,6,5,8,7,10,9,2],[3,2,5,4,7,6,9,8,1,10],[2,1,4,3,6,5,8,7,10,9],[10,3,2,5,4,7,6,9,8,1],[4,7,6,9,8,1,10,3,2,5],[6,5,8,7,10,9,2,1,4,3],[5,8,7,10,9,2,1,4,3,6],[7,6,9,8,1,10,3,2,5,4],[8,9,10,1,2,3,4,5,6,7],[9,10,1,2,3,4,5,6,7,8]],[[1,7,3,9,5,2,8,4,10,6],[6,2,8,4,10,7,3,9,5,1],[2,8,4,10,6,1,7,3,9,5],[7,3,9,5,1,6,2,8,4,10],[3,9,5,1,7,4,10,6,2,8],[8,4,10,6,2,9,5,1,7,3],[4,10,6,2,8,3,9,5,1,7],[9,5,1,7,3,8,4,10,6,2],[5,1,7,3,9,10,6,2,8,4],[10,6,2,8,4,5,1,7,3,9]],[[10,9,8,7,6,1,4,2,5,3],[8,10,9,2,7,4,5,3,6,1],[9,8,10,5,3,7,6,1,4,2],[4,7,1,10,9,8,2,5,3,6],[2,5,7,8,10,9,3,6,1,4],[7,3,6,9,8,10,1,4,2,5],[5,6,4,3,1,2,9,10,7,8],[3,1,2,6,4,5,10,7,8,9],[6,4,5,1,2,3,7,8,9,10],[1,2,3,4,5,6,8,9,10,7]],[[1,7,9,4,8,10,2,5,3,6],[9,2,8,10,5,7,6,3,1,4],[8,10,3,7,9,6,4,1,5,2],[2,8,10,5,7,9,1,4,6,3],[10,3,7,9,6,8,5,2,4,1],[7,9,4,8,10,1,3,6,2,5],[3,4,5,6,1,2,8,7,9,10],[6,1,2,3,4,5,7,8,10,9],[5,6,1,2,3,4,9,10,7,8],[4,5,6,1,2,3,10,9,8,7]],[[1,7,9,4,8,10,2,5,3,6],[9,2,8,10,5,7,6,3,1,4],[8,10,3,7,9,6,4,1,5,2],[2,8,10,5,7,9,1,4,6,3],[10,3,7,9,6,8,5,2,4,1],[7,9,4,8,10,1,3,6,2,5],[3,6,5,2,1,4,9,7,8,10],[5,4,1,6,3,2,8,10,9,7],[4,5,6,1,2,3,7,8,10,9],[6,1,2,3,4,5,10,9,7,8]],[[1,7,9,4,8,10,2,5,3,6],[9,2,8,10,5,7,6,3,1,4],[8,10,3,7,9,6,4,1,5,2],[2,8,10,5,7,9,1,4,6,3],[10,3,7,9,6,8,5,2,4,1],[7,9,4,8,10,1,3,6,2,5],[3,6,5,2,1,4,8,10,7,9],[5,4,1,6,3,2,9,7,10,8],[4,1,6,3,2,5,7,9,8,10],[6,5,2,1,4,3,10,8,9,7]],[[1,3,2,4,6,5,7,9,10,8],[3,2,1,6,5,4,10,8,7,9],[2,1,3,5,4,6,8,10,9,7],[4,6,5,7,9,10,1,3,8,2],[6,5,4,10,8,7,9,2,1,3],[5,4,6,8,10,9,2,7,3,1],[7,9,10,1,3,8,4,6,2,5],[10,8,7,9,2,1,3,5,4,6],[8,10,9,2,7,3,5,1,6,4],[9,7,8,3,1,2,6,4,5,10]],[[1,3,2,5,4,6,9,10,7,8],[6,2,4,3,10,1,7,9,8,5],[4,7,3,1,9,10,2,8,5,6],[2,1,8,4,5,9,10,3,6,7],[3,5,9,10,6,8,1,7,2,4],[10,4,6,9,8,7,5,2,3,1],[9,10,1,7,3,5,8,6,4,2],[8,9,10,2,7,4,6,5,1,3],[5,6,7,8,1,2,3,4,9,10],[7,8,5,6,2,3,4,1,10,9]],[[1,3,2,5,4,9,7,10,6,8],[6,2,4,3,9,1,10,8,5,7],[4,7,3,1,5,10,2,9,8,6],[2,1,8,4,10,6,9,3,7,5],[3,9,5,10,6,8,1,7,2,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AutRep[11]:=[[(),(),()],[(),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5,6),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)],[(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)]]; LatinRep[11]:=[[[5,1,4,9,8,6,3,7,10,2,11],[11,2,3,1,7,10,9,5,4,8,6],[7,6,9,5,11,2,8,10,3,4,1],[4,9,6,10,2,7,1,11,8,3,5],[3,4,10,2,5,1,11,9,7,6,8],[8,11,1,6,9,3,10,4,5,7,2],[6,10,5,11,3,9,4,8,2,1,7],[9,3,8,7,10,11,2,6,1,5,4],[2,7,11,8,6,4,5,1,9,10,3],[1,5,7,3,4,8,6,2,11,9,10],[10,8,2,4,1,5,7,3,6,11,9]],[[1,2,3,4,5,6,7,8,9,10,11],[2,3,4,5,6,7,8,9,10,11,1],[3,4,5,6,7,8,9,10,11,1,2],[4,5,6,7,8,9,10,11,1,2,3],[5,6,7,8,9,10,11,1,2,3,4],[6,7,8,9,10,11,1,2,3,4,5],[7,8,9,10,11,1,2,3,4,5,6],[8,9,10,11,1,2,3,4,5,6,7],[9,10,11,1,2,3,4,5,6,7,8],[10,11,1,2,3,4,5,6,7,8,9],[11,1,2,3,4,5,6,7,8,9,10]],[[11,7,8,9,10,1,3,5,2,4,6],[7,11,9,8,2,10,4,6,1,3,5],[3,10,11,7,8,9,5,2,4,6,1],[10,4,7,11,9,8,6,1,3,5,2],[9,8,5,10,11,7,2,4,6,1,3],[8,9,10,6,7,11,1,3,5,2,4],[5,6,2,1,4,3,9,10,11,7,8],[2,1,4,3,6,5,10,11,7,8,9],[4,3,6,5,1,2,11,7,8,9,10],[6,5,1,2,3,4,7,8,9,10,11],[1,2,3,4,5,6,8,9,10,11,7]],[[11,9,4,8,10,7,6,1,2,3,5],[9,11,7,3,8,10,2,5,1,4,6],[3,8,11,9,6,1,10,2,4,5,7],[7,4,9,11,2,5,1,10,3,6,8],[4,10,5,1,11,9,8,3,6,7,2],[10,3,2,6,9,11,4,7,5,8,1],[5,1,6,10,7,3,11,9,8,2,4],[2,6,10,5,4,8,9,11,7,1,3],[6,5,8,7,1,2,3,4,11,9,10],[8,7,1,2,3,4,5,6,9,10,11],[1,2,3,4,5,6,7,8,10,11,9]],[[11,8,4,7,3,10,6,9,5,1,2],[7,11,8,3,9,4,10,5,2,6,1],[3,7,11,10,6,9,5,1,8,2,4],[8,4,9,11,10,5,2,6,1,7,3],[4,10,5,9,11,1,8,2,7,3,6],[9,3,10,6,2,11,1,7,4,8,5],[5,9,6,1,7,2,11,3,10,4,8],[10,6,2,5,1,8,4,11,3,9,7],[6,1,7,2,8,3,9,4,11,5,10],[2,5,1,8,4,7,3,10,6,11,9],[1,2,3,4,5,6,7,8,9,10,11]],[[11,10,9,8,7,1,4,2,5,3,6],[9,11,10,2,8,7,5,3,6,1,4],[10,9,11,7,3,8,6,1,4,2,5],[4,8,7,11,10,9,2,5,3,6,1],[7,5,8,9,11,10,3,6,1,4,2],[8,7,6,10,9,11,1,4,2,5,3],[2,3,1,5,6,4,9,10,11,7,8],[5,6,4,3,1,2,10,11,7,8,9],[3,1,2,6,4,5,11,7,8,9,10],[6,4,5,1,2,3,7,8,9,10,11],[1,2,3,4,5,6,8,9,10,11,7]],[[8,10,9,11,6,5,3,2,1,4,7],[7,9,10,6,11,4,2,1,3,5,8],[10,8,7,5,4,11,1,3,2,6,9],[4,6,5,3,10,1,11,9,8,7,2],[6,5,4,2,1,10,9,11,7,8,3],[5,4,6,10,3,2,8,7,11,9,1],[3,11,1,7,9,8,6,10,4,2,5],[2,1,11,9,8,7,5,4,10,3,6],[11,3,2,8,7,9,10,6,5,1,4],[9,7,8,1,2,3,4,5,6,10,11],[1,2,3,4,5,6,7,8,9,11,10]],[[11,10,9,6,7,4,8,1,3,5,2],[7,11,10,9,2,8,1,5,4,6,3],[9,8,11,10,6,3,5,2,1,7,4],[10,9,5,11,3,7,4,6,2,8,1],[5,4,8,1,11,10,9,3,7,2,6],[2,6,1,5,4,11,10,9,8,3,7],[6,3,7,2,9,1,11,10,5,4,8],[3,7,4,8,10,9,2,11,6,1,5],[4,1,2,3,8,5,6,7,11,9,10],[8,5,6,7,1,2,3,4,9,10,11],[1,2,3,4,5,6,7,8,10,11,9]],[[8,10,5,9,3,6,2,11,7,1,4],[10,5,9,6,11,4,7,3,2,8,1],[7,9,6,10,4,11,1,8,5,3,2],[9,8,10,7,5,1,11,2,4,6,3],[6,2,7,11,1,10,4,9,3,5,8],[11,7,3,8,10,2,9,1,6,4,5],[5,11,8,4,2,9,3,10,1,7,6],[1,6,11,5,9,3,10,4,8,2,7],[4,3,2,1,8,7,6,5,11,9,10],[2,1,4,3,6,5,8,7,10,11,9],[3,4,1,2,7,8,5,6,9,10,11]],[[11,6,2,7,3,4,9,5,10,1,8],[4,11,7,3,8,2,5,10,1,6,9],[9,5,11,8,4,7,3,1,6,2,10],[5,10,1,11,9,3,8,4,2,7,6],[10,1,6,2,11,8,4,9,5,3,7],[6,9,5,10,1,11,2,7,3,8,4],[2,7,10,1,6,9,11,3,8,4,5],[7,3,8,6,2,5,10,11,4,9,1],[3,8,4,9,7,10,1,6,11,5,2],[8,4,9,5,10,1,6,2,7,11,3],[1,2,3,4,5,6,7,8,9,10,11]],[[11,8,10,7,9,1,2,3,4,5,6],[2,11,8,10,7,9,3,4,5,6,1],[9,3,11,8,10,7,4,5,6,1,2],[7,9,4,11,8,10,5,6,1,2,3],[10,7,9,5,11,8,6,1,2,3,4],[8,10,7,9,6,11,1,2,3,4,5],[3,4,5,6,1,2,9,10,11,7,8],[4,5,6,1,2,3,10,11,7,8,9],[5,6,1,2,3,4,11,7,8,9,10],[6,1,2,3,4,5,7,8,9,10,11],[1,2,3,4,5,6,8,9,10,11,7]],[[11,7,9,8,10,1,4,6,5,3,2],[2,11,8,10,7,9,1,5,4,6,3],[10,3,11,7,9,8,6,2,1,5,4],[7,9,4,11,8,10,3,1,6,2,5],[9,8,10,5,11,7,2,4,3,1,6],[8,10,7,9,6,11,5,3,2,4,1],[4,1,6,3,2,5,11,9,10,7,8],[6,5,2,1,4,3,10,11,8,9,7],[5,4,1,6,3,2,9,7,11,8,10],[3,6,5,2,1,4,8,10,7,11,9],[1,2,3,4,5,6,7,8,9,10,11]],[[7,5,8,11,9,10,4,3,2,6,1],[10,8,6,9,11,7,3,5,4,1,2],[8,10,9,1,7,11,5,4,6,2,3],[11,9,10,7,2,8,1,6,5,3,4],[9,11,7,10,8,3,6,2,1,4,5],[4,7,11,8,10,9,2,1,3,5,6],[6,2,1,3,5,4,10,11,7,8,9],[5,1,3,2,4,6,8,10,11,9,7],[1,6,2,4,3,5,11,9,10,7,8],[2,3,4,5,6,1,9,7,8,10,11],[3,4,5,6,1,2,7,8,9,11,10]],[[8,11,6,10,7,9,1,2,3,4,5],[2,8,11,7,10,1,9,3,4,5,6],[9,3,8,11,1,10,2,4,5,6,7],[3,9,4,8,11,2,10,5,6,7,1],[10,4,9,5,8,11,3,6,7,1,2],[4,10,5,9,6,8,11,7,1,2,3],[11,5,10,6,9,7,8,1,2,3,4],[5,6,7,1,2,3,4,10,11,8,9],[6,7,1,2,3,4,5,11,8,9,10],[7,1,2,3,4,5,6,8,9,10,11],[1,2,3,4,5,6,7,9,10,11,8]],[[11,6,10,7,9,8,4,1,5,2,3],[2,11,7,10,8,9,1,5,6,3,4],[6,3,11,8,10,1,9,2,7,4,5],[3,7,4,11,1,10,2,9,8,5,6],[9,4,8,5,11,2,10,3,1,6,7],[4,9,5,1,6,11,3,10,2,7,8],[10,5,9,6,2,7,11,4,3,8,1],[5,10,6,9,7,3,8,11,4,1,2],[7,8,1,2,3,4,5,6,11,9,10],[8,1,2,3,4,5,6,7,9,10,11],[1,2,3,4,5,6,7,8,10,11,9]],[[11,10,2,9,3,8,4,1,5,7,6],[2,11,9,3,10,4,1,5,8,6,7],[6,3,11,10,4,9,5,2,7,1,8],[3,7,4,11,9,5,10,6,2,8,1],[7,4,8,5,11,10,6,9,1,3,2],[10,8,5,1,6,11,9,7,4,2,3],[8,9,1,6,2,7,11,10,3,5,4],[9,1,10,2,7,3,8,11,6,4,5],[1,6,3,8,5,2,7,4,11,9,10],[5,2,7,4,1,6,3,8,10,11,9],[4,5,6,7,8,1,2,3,9,10,11]],[[6,11,7,10,8,4,9,5,1,2,3],[2,7,11,8,10,9,5,1,6,3,4],[7,3,8,11,9,10,1,6,2,4,5],[3,8,4,9,11,1,10,2,7,5,6],[8,4,9,5,1,11,2,10,3,6,7],[4,9,5,1,6,2,11,3,10,7,8],[10,5,1,6,2,7,3,11,4,8,9],[5,10,6,2,7,3,8,4,11,9,1],[11,6,10,7,3,8,4,9,5,1,2],[9,1,2,3,4,5,6,7,8,10,11],[1,2,3,4,5,6,7,8,9,11,10]],[[11,7,2,8,3,9,4,10,5,1,6],[2,11,8,3,9,4,10,5,1,6,7],[7,3,11,9,4,10,5,1,6,2,8],[3,8,4,11,10,5,1,6,2,7,9],[8,4,9,5,11,1,6,2,7,3,10],[4,9,5,10,6,11,2,7,3,8,1],[9,5,10,6,1,7,11,3,8,4,2],[5,10,6,1,7,2,8,11,4,9,3],[10,6,1,7,2,8,3,9,11,5,4],[6,1,7,2,8,3,9,4,10,11,5],[1,2,3,4,5,6,7,8,9,10,11]],[[7,2,8,3,9,4,10,5,11,6,1],[2,8,3,9,4,10,5,11,6,1,7],[8,3,9,4,10,5,11,6,1,7,2],[3,9,4,10,5,11,6,1,7,2,8],[9,4,10,5,11,6,1,7,2,8,3],[4,10,5,11,6,1,7,2,8,3,9],[10,5,11,6,1,7,2,8,3,9,4],[5,11,6,1,7,2,8,3,9,4,10],[11,6,1,7,2,8,3,9,4,10,5],[6,1,7,2,8,3,9,4,10,5,11],[1,7,2,8,3,9,4,10,5,11,6]]]; AutRep[12]:=[[(),(),()],[(),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2)(3,4),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2)(3,4),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2)(3,4),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5)(6,7),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5)(6,7),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5)(6,7)(8,9),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5)(6,7)(8,9),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5)(6,7)(8,9),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5)(6,7)(8,9)(10,11),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5)(6,7)(8,9)(10,11),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6),(1,2,3)(4,5,6)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6),(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8)(9,10)(11,12)],[(1,2,3)(4,5,6),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8),(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8)(9,10)(11,12)],[(1,2,3)(4,5,6)(7,8),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8)(9,10)(11,12)],[(1,2,3)(4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8)(9,10)(11,12),(1,2,3)(4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)],[(1,2,3)(4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6)(7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7)(8,9),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7)(8,9)(10,11),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7)(8,9,10),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7)(8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6,7,8),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)],[(1,2,3,4,5,6),(1,2,3,4,5,6),(1,2,3,4,5,6)],[(1,2,3,4,5,6),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12)],[(1,2,3,4,5,6),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8)(9,10)],[(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)],[(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12)],[(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6)(7,8,9)(10,11)],[(1,2,3,4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9)(10,11,12)],[(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12)],[(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)],[(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)]]; LatinRep[12]:=[[[4,10,11,8,6,3,12,5,1,2,7,9],[1,9,6,7,8,4,10,3,5,11,12,2],[11,2,3,1,4,5,6,9,12,8,10,7],[2,7,5,4,10,11,3,12,6,9,8,1],[10,8,1,6,11,2,4,7,3,12,9,5],[6,5,12,3,2,7,8,1,9,10,4,11],[7,12,2,5,1,8,9,11,10,3,6,4],[12,3,8,9,5,6,7,4,11,1,2,10],[8,1,10,11,9,12,5,2,4,7,3,6],[3,11,4,12,7,9,1,10,2,6,5,8],[9,4,7,2,3,10,11,6,8,5,1,12],[5,6,9,10,12,1,2,8,7,4,11,3]],[[7,8,9,10,11,12,1,2,3,4,5,6],[11,12,8,7,10,9,4,3,6,5,1,2],[10,9,12,11,7,8,5,6,2,1,4,3],[8,7,10,9,12,11,3,4,1,2,6,5],[12,11,7,8,9,10,6,5,4,3,2,1],[9,10,11,12,8,7,2,1,5,6,3,4],[1,2,3,4,5,6,7,8,9,10,11,12],[3,4,5,6,2,1,8,7,10,9,12,11],[5,6,2,1,4,3,9,10,11,12,7,8],[2,1,4,3,6,5,10,9,12,11,8,7],[4,3,6,5,1,2,11,12,7,8,9,10],[6,5,1,2,3,4,12,11,8,7,10,9]],[[7,8,9,10,11,12,4,5,6,1,2,3],[11,12,10,9,7,8,3,1,2,5,6,4],[9,7,8,12,10,11,1,2,3,4,5,6],[10,11,12,8,9,7,5,6,4,3,1,2],[8,9,7,11,12,10,6,4,5,2,3,1],[12,10,11,7,8,9,2,3,1,6,4,5],[4,5,6,2,3,1,9,7,8,10,11,12],[1,2,3,4,5,6,7,8,9,11,12,10],[2,3,1,5,6,4,8,9,7,12,10,11],[6,4,5,1,2,3,10,11,12,7,8,9],[3,1,2,6,4,5,11,12,10,9,7,8],[5,6,4,3,1,2,12,10,11,8,9,7]],[[1,2,3,4,9,10,11,12,5,6,7,8],[12,9,10,11,5,6,7,8,2,3,4,1],[5,6,7,8,1,2,3,4,9,10,11,12],[9,10,11,12,6,7,8,5,1,2,3,4],[8,5,6,7,2,3,4,1,10,11,12,9],[2,3,4,1,12,9,10,11,6,7,8,5],[6,7,8,5,10,11,12,9,3,4,1,2],[10,11,12,9,3,4,1,2,7,8,5,6],[3,4,1,2,7,8,5,6,11,12,9,10],[7,8,5,6,11,12,9,10,4,1,2,3],[11,12,9,10,4,1,2,3,8,5,6,7],[4,1,2,3,8,5,6,7,12,9,10,11]],[[1,2,3,4,5,6,8,9,10,11,12,7],[2,3,4,5,6,1,7,8,9,10,11,12],[7,8,9,10,11,12,2,3,4,5,6,1],[8,9,10,11,12,7,3,4,5,6,1,2],[3,4,5,6,1,2,9,10,11,12,7,8],[9,10,11,12,7,8,4,5,6,1,2,3],[4,5,6,1,2,3,10,11,12,7,8,9],[10,11,12,7,8,9,5,6,1,2,3,4],[5,6,1,2,3,4,11,12,7,8,9,10],[11,12,7,8,9,10,6,1,2,3,4,5],[6,1,2,3,4,5,12,7,8,9,10,11],[12,7,8,9,10,11,1,2,3,4,5,6]],[[3,4,5,6,7,8,9,10,11,12,1,2],[4,5,6,7,8,9,10,11,12,1,2,3],[5,6,7,8,9,10,11,12,1,2,3,4],[6,7,8,9,10,11,12,1,2,3,4,5],[7,8,9,10,11,12,1,2,3,4,5,6],[8,9,10,11,12,1,2,3,4,5,6,7],[9,10,11,12,1,2,3,4,5,6,7,8],[10,11,12,1,2,3,4,5,6,7,8,9],[11,12,1,2,3,4,5,6,7,8,9,10],[12,1,2,3,4,5,6,7,8,9,10,11],[1,2,3,4,5,6,7,8,9,10,11,12],[2,3,4,5,6,7,8,9,10,11,12,1]],[[1,6,2,4,5,3,7,12,8,10,11,9],[5,2,3,1,4,6,11,8,9,7,10,12],[3,4,5,6,2,1,9,10,11,12,8,7],[2,1,4,3,6,5,8,7,10,9,12,11],[4,3,6,5,1,2,10,9,12,11,7,8],[6,5,1,2,3,4,12,11,7,8,9,10],[7,8,9,10,11,12,1,2,3,4,5,6],[9,10,11,12,8,7,3,4,5,6,2,1],[11,12,8,7,10,9,5,6,2,1,4,3],[8,7,10,9,12,11,2,1,4,3,6,5],[10,9,12,11,7,8,4,3,6,5,1,2],[12,11,7,8,9,10,6,5,1,2,3,4]],[[1,10,3,12,2,6,4,8,9,7,11,5],[9,2,11,4,5,3,7,1,6,10,8,12],[5,6,7,8,9,10,11,12,2,3,4,1],[2,3,4,1,6,7,8,5,10,11,12,9],[6,7,8,5,10,11,12,9,3,4,1,2],[10,11,12,9,3,4,1,2,7,8,5,6],[3,4,1,2,7,8,5,6,11,12,9,10],[7,8,5,6,11,12,9,10,4,1,2,3],[11,12,9,10,4,1,2,3,8,5,6,7],[4,1,2,3,8,5,6,7,12,9,10,11],[8,5,6,7,12,9,10,11,1,2,3,4],[12,9,10,11,1,2,3,4,5,6,7,8]],[[1,4,3,6,5,2,7,10,9,12,11,8],[3,2,5,4,1,6,9,8,11,10,7,12],[2,3,4,5,6,1,8,9,10,11,12,7],[4,5,6,1,2,3,10,11,12,7,8,9],[5,6,1,2,3,4,11,12,7,8,9,10],[6,1,2,3,4,5,12,7,8,9,10,11],[7,8,9,10,11,12,1,2,3,4,5,6],[8,9,10,11,12,7,2,3,4,5,6,1],[9,10,11,12,7,8,3,4,5,6,1,2],[10,11,12,7,8,9,4,5,6,1,2,3],[11,12,7,8,9,10,5,6,1,2,3,4],[12,7,8,9,10,11,6,1,2,3,4,5]],[[1,4,3,6,5,8,7,10,9,12,11,2],[3,2,5,4,7,6,9,8,11,10,1,12],[2,3,4,5,6,7,8,9,10,11,12,1],[4,5,6,7,8,9,10,11,12,1,2,3],[5,6,7,8,9,10,11,12,1,2,3,4],[6,7,8,9,10,11,12,1,2,3,4,5],[7,8,9,10,11,12,1,2,3,4,5,6],[8,9,10,11,12,1,2,3,4,5,6,7],[9,10,11,12,1,2,3,4,5,6,7,8],[10,11,12,1,2,3,4,5,6,7,8,9],[11,12,1,2,3,4,5,6,7,8,9,10],[12,1,2,3,4,5,6,7,8,9,10,11]],[[1,11,5,12,3,6,4,10,9,8,2,7],[12,2,11,6,5,4,9,3,7,10,8,1],[9,4,3,2,7,1,5,8,6,12,11,10],[3,10,1,4,2,8,7,6,11,5,9,12],[5,6,9,10,1,2,11,12,4,3,7,8],[10,9,7,8,11,12,3,4,2,1,6,5],[7,8,12,11,9,10,2,1,5,6,4,3],[11,12,10,9,8,7,6,5,3,4,1,2],[4,3,2,1,12,11,10,9,8,7,5,6],[8,7,6,5,4,3,1,2,12,11,10,9],[2,1,8,7,6,5,12,11,10,9,3,4],[6,5,4,3,10,9,8,7,1,2,12,11]],[[1,10,3,12,2,6,4,8,9,7,11,5],[9,2,11,4,5,3,7,1,6,10,8,12],[5,9,7,11,1,10,3,12,2,6,4,8],[12,6,10,8,9,2,11,4,5,3,7,1],[2,3,4,1,6,7,8,5,10,11,12,9],[6,7,8,5,10,11,12,9,3,4,1,2],[10,11,12,9,3,4,1,2,7,8,5,6],[3,4,1,2,7,8,5,6,11,12,9,10],[7,8,5,6,11,12,9,10,4,1,2,3],[11,12,9,10,4,1,2,3,8,5,6,7],[4,1,2,3,8,5,6,7,12,9,10,11],[8,5,6,7,12,9,10,11,1,2,3,4]],[[1,7,3,9,5,11,2,10,4,12,6,8],[12,2,8,4,10,6,9,3,11,5,7,1],[3,8,5,10,1,12,7,2,9,4,11,6],[7,4,9,6,11,2,1,8,3,10,5,12],[2,3,4,5,6,1,10,11,12,7,8,9],[4,5,6,1,2,3,8,9,10,11,12,7],[8,9,10,11,12,7,4,5,6,1,2,3],[9,10,11,12,7,8,3,4,5,6,1,2],[10,11,12,7,8,9,6,1,2,3,4,5],[11,12,7,8,9,10,5,6,1,2,3,4],[5,6,1,2,3,4,12,7,8,9,10,11],[6,1,2,3,4,5,11,12,7,8,9,10]],[[1,4,3,6,5,8,7,10,9,12,11,2],[3,2,5,4,7,6,9,8,11,10,1,12],[2,1,4,3,6,5,8,7,10,9,12,11],[12,3,2,5,4,7,6,9,8,11,10,1],[4,5,6,7,8,9,10,11,12,1,2,3],[5,6,7,8,9,10,11,12,1,2,3,4],[6,7,8,9,10,11,12,1,2,3,4,5],[7,8,9,10,11,12,1,2,3,4,5,6],[8,9,10,11,12,1,2,3,4,5,6,7],[9,10,11,12,1,2,3,4,5,6,7,8],[10,11,12,1,2,3,4,5,6,7,8,9],[11,12,1,2,3,4,5,6,7,8,9,10]],[[12,8,9,10,11,7,3,5,2,4,6,1],[8,12,10,9,7,11,4,6,1,3,5,2],[7,11,12,8,9,10,5,2,4,6,1,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8,10,3,5,12,2,7,9],[10,5,7,12,2,9,11,4,6,1,3,8],[9,11,6,8,1,3,10,12,5,7,2,4],[5,10,12,7,9,2,4,11,1,6,8,3],[6,9,8,11,10,1,12,3,2,5,4,7],[8,7,10,9,12,11,2,1,4,3,6,5]],[[6,7,1,8,5,12,3,10,4,11,2,9],[7,1,8,2,9,6,10,4,11,5,12,3],[1,8,2,9,3,10,4,11,5,12,6,7],[11,2,9,3,10,4,8,5,12,6,7,1],[5,12,3,10,4,11,2,9,6,7,1,8],[12,6,7,4,11,5,9,3,10,1,8,2],[3,10,4,11,2,9,6,7,1,8,5,12],[10,4,11,5,12,3,7,1,8,2,9,6],[4,11,5,12,6,7,1,8,2,9,3,10],[8,5,12,6,7,1,11,2,9,3,10,4],[2,9,6,7,1,8,5,12,3,10,4,11],[9,3,10,1,8,2,12,6,7,4,11,5]],[[1,3,2,6,11,4,7,9,8,12,5,10],[11,2,4,3,7,12,5,8,10,9,1,6],[7,12,3,5,4,8,1,6,9,11,10,2],[3,8,1,4,6,5,9,2,7,10,12,11],[12,4,9,2,5,7,6,10,3,8,11,1],[2,1,5,10,3,6,8,7,11,4,9,12],[4,6,8,11,1,3,10,12,2,5,7,9],[10,5,7,9,12,2,4,11,1,3,6,8],[9,11,6,8,10,1,3,5,12,2,4,7],[8,10,12,7,9,11,2,4,6,1,3,5],[6,9,11,1,8,10,12,3,5,7,2,4],[5,7,10,12,2,9,11,1,4,6,8,3]],[[9,12,8,11,7,10,1,2,3,4,5,6],[2,9,12,8,11,1,10,3,4,5,6,7],[10,3,9,12,8,11,2,4,5,6,7,1],[3,10,4,9,12,8,11,5,6,7,1,2],[11,4,10,5,9,12,8,6,7,1,2,3],[8,11,5,10,6,9,12,7,1,2,3,4],[12,8,11,6,10,7,9,1,2,3,4,5],[4,5,6,7,1,2,3,10,11,12,8,9],[5,6,7,1,2,3,4,11,12,8,9,10],[6,7,1,2,3,4,5,12,8,9,10,11],[7,1,2,3,4,5,6,8,9,10,11,12],[1,2,3,4,5,6,7,9,10,11,12,8]],[[12,6,11,7,10,8,9,1,5,2,3,4],[2,12,7,11,8,10,1,9,6,3,4,5],[9,3,12,8,11,1,10,2,7,4,5,6],[3,9,4,12,1,11,2,10,8,5,6,7],[10,4,9,5,12,2,11,3,1,6,7,8],[4,10,5,9,6,12,3,11,2,7,8,1],[11,5,10,6,9,7,12,4,3,8,1,2],[5,11,6,10,7,9,8,12,4,1,2,3],[6,7,8,1,2,3,4,5,11,12,9,10],[7,8,1,2,3,4,5,6,12,9,10,11],[8,1,2,3,4,5,6,7,9,10,11,12],[1,2,3,4,5,6,7,8,10,11,12,9]],[[1,3,2,6,9,11,10,12,4,8,5,7],[11,2,4,3,7,10,12,9,1,5,8,6],[10,12,3,5,4,8,9,11,6,2,7,1],[12,9,11,4,6,5,1,10,3,7,2,8],[9,11,10,12,5,7,6,2,8,4,1,3],[3,10,12,9,11,6,8,7,5,1,4,2],[8,4,9,11,10,12,7,1,2,6,3,5],[2,1,5,10,12,9,11,8,7,3,6,4],[4,5,6,7,8,1,2,3,10,9,11,12],[7,8,1,2,3,4,5,6,9,10,12,11],[6,7,8,1,2,3,4,5,11,12,9,10],[5,6,7,8,1,2,3,4,12,11,10,9]],[[1,12,10,9,6,3,11,2,4,7,5,8],[3,2,9,11,10,7,4,12,1,5,8,6],[9,4,3,10,12,11,8,5,7,2,6,1],[6,10,5,4,11,9,12,1,2,8,3,7],[2,7,11,6,5,12,10,9,8,3,1,4],[10,3,8,12,7,6,9,11,5,1,4,2],[12,11,4,1,9,8,7,10,3,6,2,5],[11,9,12,5,2,10,1,8,6,4,7,3],[4,5,6,7,8,1,2,3,9,10,11,12],[5,6,7,8,1,2,3,4,10,11,12,9],[7,8,1,2,3,4,5,6,11,12,9,10],[8,1,2,3,4,5,6,7,12,9,10,11]],[[12,10,11,9,3,8,4,1,5,7,6,2],[2,12,9,11,10,4,1,5,8,6,7,3],[6,3,12,10,11,9,5,2,7,1,8,4],[3,7,4,12,9,11,10,6,2,8,1,5],[7,4,8,5,12,10,11,9,1,3,2,6],[10,8,5,1,6,12,9,11,4,2,3,7],[11,9,1,6,2,7,12,10,3,5,4,8],[9,11,10,2,7,3,8,12,6,4,5,1],[1,6,3,8,5,2,7,4,12,11,10,9],[5,2,7,4,1,6,3,8,11,12,9,10],[4,5,6,7,8,1,2,3,10,9,11,12],[8,1,2,3,4,5,6,7,9,10,12,11]],[[1,3,2,6,9,11,10,12,4,8,5,7],[11,2,4,3,7,10,12,9,1,5,8,6],[10,12,3,5,4,8,9,11,6,2,7,1],[12,9,11,4,6,5,1,10,3,7,2,8],[9,11,10,12,5,7,6,2,8,4,1,3],[3,10,12,9,11,6,8,7,5,1,4,2],[8,4,9,11,10,12,7,1,2,6,3,5],[2,1,5,10,12,9,11,8,7,3,6,4],[4,7,6,1,8,3,2,5,11,9,10,12],[6,5,8,7,2,1,4,3,10,12,11,9],[5,6,7,8,1,2,3,4,9,10,12,11],[7,8,1,2,3,4,5,6,12,11,9,10]],[[1,3,6,9,11,2,10,12,4,7,5,8],[9,2,4,7,10,12,3,11,1,5,8,6],[12,10,3,5,8,11,9,4,7,2,6,1],[5,9,11,4,6,1,12,10,2,8,3,7],[11,6,10,12,5,7,2,9,8,3,1,4],[10,12,7,11,9,6,8,3,5,1,4,2],[4,11,9,8,12,10,7,1,3,6,2,5],[2,5,12,10,1,9,11,8,6,4,7,3],[3,8,5,2,7,4,1,6,10,9,12,11],[7,4,1,6,3,8,5,2,12,11,10,9],[8,1,2,3,4,5,6,7,9,10,11,12],[6,7,8,1,2,3,4,5,11,12,9,10]],[[12,10,3,9,4,8,11,1,7,5,2,6],[2,11,9,4,10,5,1,12,6,8,7,3],[11,3,12,10,5,9,6,2,1,7,4,8],[3,12,4,11,9,6,10,7,8,2,1,5],[8,4,11,5,12,10,7,9,3,1,6,2],[10,1,5,12,6,11,9,8,2,4,3,7],[1,9,2,6,11,7,12,10,5,3,8,4],[9,2,10,3,7,12,8,11,4,6,5,1],[7,6,1,8,3,2,5,4,9,12,10,11],[5,8,7,2,1,4,3,6,11,10,12,9],[4,7,6,1,8,3,2,5,10,11,9,12],[6,5,8,7,2,1,4,3,12,9,11,10]],[[1,12,10,9,6,3,11,2,4,7,5,8],[3,2,9,11,10,7,4,12,1,5,8,6],[9,4,3,10,12,11,8,5,7,2,6,1],[6,10,5,4,11,9,12,1,2,8,3,7],[2,7,11,6,5,12,10,9,8,3,1,4],[10,3,8,12,7,6,9,11,5,1,4,2],[12,11,4,1,9,8,7,10,3,6,2,5],[11,9,12,5,2,10,1,8,6,4,7,3],[4,1,6,3,8,5,2,7,9,12,11,10],[8,5,2,7,4,1,6,3,11,10,9,12],[5,8,7,2,1,4,3,6,10,9,12,11],[7,6,1,8,3,2,5,4,12,11,10,9]],[[6,12,7,11,8,10,9,5,1,4,3,2],[2,7,12,8,11,9,10,1,6,5,4,3],[7,3,8,12,9,11,1,10,2,6,5,4],[3,8,4,9,12,1,11,2,10,7,6,5],[10,4,9,5,1,12,2,11,3,8,7,6],[4,10,5,1,6,2,12,3,11,9,8,7],[11,5,10,6,2,7,3,12,4,1,9,8],[5,11,6,10,7,3,8,4,12,2,1,9],[12,6,11,7,10,8,4,9,5,3,2,1],[1,2,3,4,5,6,7,8,9,12,10,11],[9,1,2,3,4,5,6,7,8,11,12,10],[8,9,1,2,3,4,5,6,7,10,11,12]],[[1,6,2,10,3,11,4,12,5,8,7,9],[6,2,7,3,11,4,12,5,10,1,9,8],[11,7,3,8,4,12,5,10,6,9,2,1],[7,12,8,4,9,5,10,6,11,2,1,3],[12,8,10,9,5,1,6,11,7,4,3,2],[8,10,9,11,1,6,2,7,12,3,5,4],[10,9,11,1,12,2,7,3,8,5,4,6],[9,11,1,12,2,10,3,8,4,7,6,5],[5,1,12,2,10,3,11,4,9,6,8,7],[2,3,4,5,6,7,8,9,1,10,11,12],[3,4,5,6,7,8,9,1,2,11,12,10],[4,5,6,7,8,9,1,2,3,12,10,11]],[[6,11,7,12,8,10,9,5,1,3,2,4],[2,7,12,8,10,9,11,1,6,5,4,3],[7,3,8,10,9,11,1,12,2,4,6,5],[3,8,4,9,11,1,12,2,10,6,5,7],[11,4,9,5,1,12,2,10,3,8,7,6],[4,12,5,1,6,2,10,3,11,7,9,8],[12,5,10,6,2,7,3,11,4,9,8,1],[5,10,6,11,7,3,8,4,12,2,1,9],[10,6,11,7,12,8,4,9,5,1,3,2],[9,2,1,3,5,4,6,8,7,12,11,10],[8,1,3,2,4,6,5,7,9,11,10,12],[1,9,2,4,3,5,7,6,8,10,12,11]],[[12,11,3,8,4,9,5,10,6,1,7,2],[2,12,11,4,9,5,10,6,1,7,8,3],[8,3,12,11,5,10,6,1,7,2,9,4],[3,9,4,12,11,6,1,7,2,8,10,5],[9,4,10,5,12,11,7,2,8,3,1,6],[4,10,5,1,6,12,11,8,3,9,2,7],[10,5,1,6,2,7,12,11,9,4,3,8],[5,1,6,2,7,3,8,12,11,10,4,9],[1,6,2,7,3,8,4,9,12,11,5,10],[11,2,7,3,8,4,9,5,10,12,6,1],[7,8,9,10,1,2,3,4,5,6,12,11],[6,7,8,9,10,1,2,3,4,5,11,12]],[[1,4,2,7,3,10,8,11,6,12,5,9],[11,2,5,3,8,4,1,9,12,7,10,6],[8,12,3,6,4,9,5,2,10,11,7,1],[12,9,11,4,7,5,10,6,3,1,2,8],[2,11,10,12,5,8,6,1,7,4,9,3],[5,3,12,1,11,6,9,7,2,8,4,10],[9,6,4,11,2,12,7,10,8,3,1,5],[4,10,7,5,12,3,11,8,1,9,6,2],[10,5,1,8,6,11,4,12,9,2,3,7],[3,1,6,2,9,7,12,5,11,10,8,4],[6,7,8,9,10,1,2,3,4,5,11,12],[7,8,9,10,1,2,3,4,5,6,12,11]],[[7,12,8,3,9,4,10,5,11,6,1,2],[2,8,12,9,4,10,5,11,6,1,7,3],[8,3,9,12,10,5,11,6,1,7,2,4],[3,9,4,10,12,11,6,1,7,2,8,5],[9,4,10,5,11,12,1,7,2,8,3,6],[4,10,5,11,6,1,12,2,8,3,9,7],[10,5,11,6,1,7,2,12,3,9,4,8],[5,11,6,1,7,2,8,3,12,4,10,9],[11,6,1,7,2,8,3,9,4,12,5,10],[6,1,7,2,8,3,9,4,10,5,12,11],[12,7,2,8,3,9,4,10,5,11,6,1],[1,2,3,4,5,6,7,8,9,10,11,12]]]; AutRep[13]:=[[(),(),()],[(),(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6)(7,8,9)(10,11),(1,2,3,4,5,6)(7,8,9)(10,11)],[(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)],[(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13)]]; LatinRep[13]:=[[[6,7,10,2,12,4,1,9,8,11,13,5,3],[4,1,7,8,10,9,11,3,13,5,12,2,6],[3,11,2,4,7,1,9,8,6,12,5,13,10],[7,10,3,13,5,12,8,1,11,4,9,6,2],[8,5,4,10,9,6,13,7,3,1,2,12,11],[9,3,13,6,4,2,7,11,5,8,10,1,12],[5,2,8,3,13,10,6,4,12,9,11,7,1],[13,12,11,5,1,3,4,2,10,6,7,9,8],[12,13,1,11,8,7,3,6,9,2,4,10,5],[11,9,6,7,2,13,5,12,1,10,3,8,4],[1,8,12,9,11,5,10,13,2,3,6,4,7],[10,6,9,12,3,8,2,5,4,7,1,11,13],[2,4,5,1,6,11,12,10,7,13,8,3,9]],[[3,4,5,6,7,8,9,10,11,12,13,1,2],[4,5,6,7,8,9,10,11,12,13,1,2,3],[5,6,7,8,9,10,11,12,13,1,2,3,4],[6,7,8,9,10,11,12,13,1,2,3,4,5],[7,8,9,10,11,12,13,1,2,3,4,5,6],[8,9,10,11,12,13,1,2,3,4,5,6,7],[9,10,11,12,13,1,2,3,4,5,6,7,8],[10,11,12,13,1,2,3,4,5,6,7,8,9],[11,12,13,1,2,3,4,5,6,7,8,9,10],[12,13,1,2,3,4,5,6,7,8,9,10,11],[13,1,2,3,4,5,6,7,8,9,10,11,12],[1,2,3,4,5,6,7,8,9,10,11,12,13],[2,3,4,5,6,7,8,9,10,11,12,13,1]],[[13,5,10,12,3,7,11,9,2,8,4,1,6],[6,13,12,10,8,4,9,11,1,7,3,2,5],[10,12,13,7,11,9,5,2,3,4,1,6,8],[12,10,8,13,9,11,1,6,4,3,2,5,7],[4,7,11,9,13,2,12,10,8,5,6,3,1],[8,3,9,11,1,13,10,12,7,6,5,4,2],[11,9,6,2,12,10,13,4,5,1,7,8,3],[9,11,1,5,10,12,3,13,6,2,8,7,4],[1,2,4,3,7,8,6,5,13,12,10,9,11],[7,8,3,4,6,5,2,1,10,13,9,11,12],[3,4,2,1,5,6,8,7,12,11,13,10,9],[2,1,5,6,4,3,7,8,11,9,12,13,10],[5,6,7,8,2,1,4,3,9,10,11,12,13]],[[13,8,11,9,5,10,6,12,7,1,4,2,3],[7,13,10,11,9,6,12,5,2,8,3,1,4],[3,9,13,10,11,2,7,1,8,12,6,4,5],[10,4,9,13,1,11,2,8,12,7,5,3,6],[12,10,5,2,13,1,11,4,9,3,8,6,7],[9,12,1,6,2,13,3,11,4,10,7,5,8],[5,2,12,1,7,4,13,3,11,6,10,8,9],[1,6,2,12,3,8,4,13,5,11,9,7,10],[8,11,7,4,12,3,9,6,13,5,1,10,2],[11,7,3,8,4,12,5,10,6,13,2,9,1],[4,3,6,5,8,7,10,9,1,2,13,11,12],[2,1,4,3,6,5,8,7,10,9,12,13,11],[6,5,8,7,10,9,1,2,3,4,11,12,13]],[[13,7,4,10,3,9,6,12,5,11,8,1,2],[8,13,9,3,10,4,11,5,12,6,2,7,1],[3,10,13,9,6,12,5,11,8,1,7,2,4],[9,4,10,13,11,5,12,6,2,7,1,8,3],[4,9,5,12,13,11,8,1,7,2,10,3,6],[10,3,11,6,12,13,2,7,1,8,4,9,5],[5,12,6,11,7,1,13,2,10,3,9,4,8],[11,6,12,5,2,8,1,13,4,9,3,10,7],[6,11,7,1,8,2,9,3,13,4,12,5,10],[12,5,2,8,1,7,4,10,3,13,6,11,9],[7,1,8,2,9,3,10,4,11,5,13,6,12],[2,8,1,7,4,10,3,9,6,12,5,13,11],[1,2,3,4,5,6,7,8,9,10,11,12,13]],[[8,12,9,11,6,5,3,10,13,7,4,2,1],[7,9,12,6,11,4,13,1,10,8,5,3,2],[12,8,7,5,4,11,10,13,2,9,6,1,3],[13,6,11,3,10,1,12,9,8,5,2,7,4],[11,13,4,2,1,10,9,12,7,6,3,8,5],[5,11,13,10,3,2,8,7,12,4,1,9,6],[3,10,1,13,9,12,6,11,4,2,8,5,7],[2,1,10,12,13,7,5,4,11,3,9,6,8],[10,3,2,8,12,13,11,6,5,1,7,4,9],[9,7,8,4,5,6,1,2,3,12,13,10,11],[6,4,5,1,2,3,7,8,9,11,10,13,12],[1,2,3,9,7,8,4,5,6,13,12,11,10],[4,5,6,7,8,9,2,3,1,10,11,12,13]],[[13,7,2,11,6,12,4,10,5,3,9,1,8],[3,13,8,10,12,4,6,5,11,2,1,7,9],[9,1,13,5,11,10,12,4,6,8,3,2,7],[4,6,12,13,10,5,3,9,1,7,2,8,11],[10,5,4,6,13,11,2,1,7,9,8,3,12],[5,11,6,12,4,13,8,3,2,1,7,9,10],[11,10,5,7,9,1,13,2,8,6,12,4,3],[6,12,11,2,8,7,9,13,3,5,4,10,1],[12,4,10,8,3,9,1,7,13,11,6,5,2],[7,9,1,3,2,8,10,12,4,13,5,11,6],[2,8,7,9,1,3,5,11,10,12,13,6,4],[8,3,9,1,7,2,11,6,12,4,10,13,5],[1,2,3,4,5,6,7,8,9,10,11,12,13]],[[13,2,12,11,10,9,8,1,4,3,6,7,5],[11,13,3,12,2,10,9,5,1,4,7,8,6],[12,11,13,4,6,3,10,9,2,1,8,5,7],[1,12,11,13,9,7,4,10,3,2,5,6,8],[5,9,10,1,13,6,11,12,7,8,4,3,2],[2,6,9,10,12,13,7,11,8,5,1,4,3],[10,3,7,9,11,12,13,8,5,6,2,1,4],[9,10,4,8,5,11,12,13,6,7,3,2,1],[4,1,2,3,7,8,5,6,13,11,12,9,10],[3,4,1,2,8,5,6,7,12,13,10,11,9],[6,7,8,5,4,1,2,3,11,9,13,10,12],[7,8,5,6,3,4,1,2,10,12,9,13,11],[8,5,6,7,1,2,3,4,9,10,11,12,13]],[[13,5,2,6,11,10,12,9,3,7,8,1,4],[7,13,6,3,10,12,9,11,8,4,2,5,1],[4,8,13,7,12,9,11,10,1,5,6,3,2],[8,1,5,13,9,11,10,12,6,2,4,7,3],[11,10,12,9,13,2,6,3,5,1,7,4,8],[10,12,9,11,4,13,3,7,2,6,1,8,5],[12,9,11,10,8,1,13,4,7,3,5,2,6],[9,11,10,12,1,5,2,13,4,8,3,6,7],[1,6,3,8,7,4,5,2,13,11,12,9,10],[5,2,7,4,3,8,1,6,12,13,10,11,9],[6,4,8,2,5,3,7,1,11,9,13,10,12],[3,7,1,5,2,6,4,8,10,12,9,13,11],[2,3,4,1,6,7,8,5,9,10,11,12,13]],[[13,11,2,12,7,9,8,10,5,4,6,1,3],[9,13,12,3,11,8,10,5,2,6,1,7,4],[4,10,13,9,6,12,5,11,8,3,7,2,1],[10,1,11,13,12,7,9,6,3,5,4,8,2],[5,9,8,10,13,4,6,1,11,2,12,3,7],[11,6,10,5,2,13,1,7,4,12,3,9,8],[6,12,7,11,8,3,13,2,10,1,9,4,5],[12,7,9,8,3,5,4,13,1,11,2,10,6],[7,4,6,1,9,2,12,3,13,8,10,5,11],[2,8,1,7,4,10,3,9,6,13,5,11,12],[8,3,5,2,10,1,11,4,12,7,13,6,9],[3,5,4,6,1,11,2,12,7,9,8,13,10],[1,2,3,4,5,6,7,8,9,10,11,12,13]],[[13,6,2,7,3,11,12,5,10,1,9,8,4],[4,13,7,3,8,2,11,12,1,6,10,9,5],[9,5,13,8,4,7,3,11,12,2,6,10,1],[5,10,1,13,9,3,8,4,11,12,7,6,2],[10,1,6,2,13,12,4,9,5,11,8,7,3],[6,12,11,10,1,13,2,7,3,8,4,5,9],[2,7,12,11,6,9,13,3,8,4,5,1,10],[7,3,8,12,11,5,10,13,4,9,1,2,6],[11,8,4,9,12,10,1,6,13,5,2,3,7],[12,11,9,5,10,1,6,2,7,13,3,4,8],[1,2,3,4,5,8,9,10,6,7,13,11,12],[3,4,5,1,2,6,7,8,9,10,12,13,11],[8,9,10,6,7,4,5,1,2,3,11,12,13]],[[12,8,13,9,11,1,4,6,10,7,5,2,3],[2,12,9,13,7,10,11,5,1,6,8,3,4],[11,3,12,7,13,8,2,10,6,9,1,4,5],[9,10,4,12,8,13,1,3,11,2,7,5,6],[13,7,11,5,12,9,10,2,4,8,3,6,1],[7,13,8,10,6,12,5,11,3,4,9,1,2],[10,4,6,11,1,3,12,13,7,5,2,8,9],[4,11,5,1,10,2,8,12,13,3,6,9,7],[3,5,10,6,2,11,13,9,12,1,4,7,8],[5,9,1,8,3,7,6,4,2,13,12,11,10],[8,6,7,2,9,4,3,1,5,12,13,10,11],[6,1,2,3,4,5,9,7,8,11,10,12,13],[1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11,5,12,13,6],[1,2,3,4,5,6,7,8,9,10,11,12,13]],[[8,2,9,3,10,4,11,5,12,6,13,7,1],[2,9,3,10,4,11,5,12,6,13,7,1,8],[9,3,10,4,11,5,12,6,13,7,1,8,2],[3,10,4,11,5,12,6,13,7,1,8,2,9],[10,4,11,5,12,6,13,7,1,8,2,9,3],[4,11,5,12,6,13,7,1,8,2,9,3,10],[11,5,12,6,13,7,1,8,2,9,3,10,4],[5,12,6,13,7,1,8,2,9,3,10,4,11],[12,6,13,7,1,8,2,9,3,10,4,11,5],[6,13,7,1,8,2,9,3,10,4,11,5,12],[13,7,1,8,2,9,3,10,4,11,5,12,6],[7,1,8,2,9,3,10,4,11,5,12,6,13],[1,8,2,9,3,10,4,11,5,12,6,13,7]]]; AutRep[14]:=[[(),(),()],[(),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14)],[(),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2)(3,4),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2)(3,4),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5)(6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5)(6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)],[(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7)(8,9),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7)(8,9)(10,11),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7)(8,9)(10,11)(12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)],[(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13)]]; LatinRep[14]:=[[[4,11,2,7,13,9,10,12,8,5,14,3,1,6],[6,7,12,13,3,5,4,14,11,2,9,1,10,8],[2,1,6,9,14,7,8,5,10,3,13,12,11,4],[3,9,8,1,4,6,11,13,7,12,10,2,5,14],[14,8,1,12,10,4,7,2,9,11,3,5,6,13],[10,13,5,2,7,12,14,4,1,8,6,11,9,3],[11,2,4,8,9,1,5,6,3,7,12,14,13,10],[8,4,14,11,1,2,12,3,13,6,5,10,7,9],[13,14,9,3,12,8,2,1,5,10,11,6,4,7],[9,10,3,5,11,14,6,7,2,13,4,8,12,1],[5,3,13,14,6,10,9,8,12,4,1,7,2,11],[7,12,10,6,2,3,1,11,4,9,8,13,14,5],[12,6,11,4,5,13,3,10,14,1,7,9,8,2],[1,5,7,10,8,11,13,9,6,14,2,4,3,12]],[[1,2,5,6,3,4,11,12,13,14,7,8,9,10],[13,14,3,4,7,8,5,6,12,11,10,9,1,2],[12,11,14,13,5,6,9,10,7,8,2,1,4,3],[10,9,11,12,13,14,7,8,2,1,3,4,5,6],[3,4,1,2,12,11,14,13,9,10,6,5,8,7],[5,6,9,10,1,2,12,11,14,13,4,3,7,8],[14,13,7,8,2,1,3,4,11,12,5,6,10,9],[11,12,13,14,9,10,4,3,5,6,8,7,2,1],[8,7,12,11,14,13,2,1,6,5,9,10,3,4],[7,8,10,9,11,12,13,14,4,3,1,2,6,5],[9,10,2,1,4,3,6,5,8,7,12,11,13,14],[6,5,8,7,10,9,1,2,3,4,11,12,14,13],[4,3,6,5,8,7,10,9,1,2,13,14,11,12],[2,1,4,3,6,5,8,7,10,9,14,13,12,11]],[[1,2,3,4,5,6,7,9,10,11,12,13,14,8],[2,3,4,5,6,7,1,8,9,10,11,12,13,14],[8,9,10,11,12,13,14,2,3,4,5,6,7,1],[9,10,11,12,13,14,8,3,4,5,6,7,1,2],[3,4,5,6,7,1,2,10,11,12,13,14,8,9],[10,11,12,13,14,8,9,4,5,6,7,1,2,3],[4,5,6,7,1,2,3,11,12,13,14,8,9,10],[11,12,13,14,8,9,10,5,6,7,1,2,3,4],[5,6,7,1,2,3,4,12,13,14,8,9,10,11],[12,13,14,8,9,10,11,6,7,1,2,3,4,5],[6,7,1,2,3,4,5,13,14,8,9,10,11,12],[13,14,8,9,10,11,12,7,1,2,3,4,5,6],[7,1,2,3,4,5,6,14,8,9,10,11,12,13],[14,8,9,10,11,12,13,1,2,3,4,5,6,7]],[[3,4,5,6,7,8,9,10,11,12,13,14,1,2],[4,5,6,7,8,9,10,11,12,13,14,1,2,3],[5,6,7,8,9,10,11,12,13,14,1,2,3,4],[6,7,8,9,10,11,12,13,14,1,2,3,4,5],[7,8,9,10,11,12,13,14,1,2,3,4,5,6],[8,9,10,11,12,13,14,1,2,3,4,5,6,7],[9,10,11,12,13,14,1,2,3,4,5,6,7,8],[10,11,12,13,14,1,2,3,4,5,6,7,8,9],[11,12,13,14,1,2,3,4,5,6,7,8,9,10],[12,13,14,1,2,3,4,5,6,7,8,9,10,11],[13,14,1,2,3,4,5,6,7,8,9,10,11,12],[14,1,2,3,4,5,6,7,8,9,10,11,12,13],[1,2,3,4,5,6,7,8,9,10,11,12,13,14],[2,3,4,5,6,7,8,9,10,11,12,13,14,1]],[[1,6,7,4,5,10,11,8,9,14,2,12,13,3],[5,2,3,8,9,6,7,12,13,10,11,1,4,14],[3,4,5,6,7,8,9,10,11,12,13,14,2,1],[7,8,9,10,11,12,13,14,2,1,4,3,6,5],[9,10,11,12,13,14,2,1,4,3,6,5,8,7],[11,12,13,14,2,1,4,3,6,5,8,7,10,9],[13,14,2,1,4,3,6,5,8,7,10,9,12,11],[2,1,4,3,6,5,8,7,10,9,12,11,14,13],[4,3,6,5,8,7,10,9,12,11,14,13,1,2],[6,5,8,7,10,9,12,11,14,13,1,2,3,4],[8,7,10,9,12,11,14,13,1,2,3,4,5,6],[10,9,12,11,14,13,1,2,3,4,5,6,7,8],[12,11,14,13,1,2,3,4,5,6,7,8,9,10],[14,13,1,2,3,4,5,6,7,8,9,10,11,12]],[[1,4,3,6,5,8,7,10,9,12,11,14,13,2],[3,2,5,4,7,6,9,8,11,10,13,12,1,14],[2,3,4,5,6,7,8,9,10,11,12,13,14,1],[4,5,6,7,8,9,10,11,12,13,14,1,2,3],[5,6,7,8,9,10,11,12,13,14,1,2,3,4],[6,7,8,9,10,11,12,13,14,1,2,3,4,5],[7,8,9,10,11,12,13,14,1,2,3,4,5,6],[8,9,10,11,12,13,14,1,2,3,4,5,6,7],[9,10,11,12,13,14,1,2,3,4,5,6,7,8],[10,11,12,13,14,1,2,3,4,5,6,7,8,9],[11,12,13,14,1,2,3,4,5,6,7,8,9,10],[12,13,14,1,2,3,4,5,6,7,8,9,10,11],[13,14,1,2,3,4,5,6,7,8,9,10,11,12],[14,1,2,3,4,5,6,7,8,9,10,11,12,13]],[[1,6,7,4,5,10,11,8,9,14,2,12,13,3],[5,2,3,8,9,6,7,12,13,10,11,1,4,14],[3,13,1,6,7,4,5,10,11,8,9,14,2,12],[14,4,5,2,3,8,9,6,7,12,13,10,11,1],[7,8,9,10,11,12,13,14,2,1,4,3,6,5],[9,10,11,12,13,14,2,1,4,3,6,5,8,7],[11,12,13,14,2,1,4,3,6,5,8,7,10,9],[13,14,2,1,4,3,6,5,8,7,10,9,12,11],[2,1,4,3,6,5,8,7,10,9,12,11,14,13],[4,3,6,5,8,7,10,9,12,11,14,13,1,2],[6,5,8,7,10,9,12,11,14,13,1,2,3,4],[8,7,10,9,12,11,14,13,1,2,3,4,5,6],[10,9,12,11,14,13,1,2,3,4,5,6,7,8],[12,11,14,13,1,2,3,4,5,6,7,8,9,10]],[[1,4,3,6,5,8,7,10,9,12,11,14,13,2],[3,2,5,4,7,6,9,8,11,10,13,12,1,14],[2,1,4,3,6,5,8,7,10,9,12,11,14,13],[14,3,2,5,4,7,6,9,8,11,10,13,12,1],[4,5,6,7,8,9,10,11,12,13,14,1,2,3],[5,6,7,8,9,10,11,12,13,14,1,2,3,4],[6,7,8,9,10,11,12,13,14,1,2,3,4,5],[7,8,9,10,11,12,13,14,1,2,3,4,5,6],[8,9,10,11,12,13,14,1,2,3,4,5,6,7],[9,10,11,12,13,14,1,2,3,4,5,6,7,8],[10,11,12,13,14,1,2,3,4,5,6,7,8,9],[11,12,13,14,1,2,3,4,5,6,7,8,9,10],[12,13,14,1,2,3,4,5,6,7,8,9,10,11],[13,14,1,2,3,4,5,6,7,8,9,10,11,12]],[[1,6,7,4,5,10,11,8,9,14,2,12,13,3],[5,2,3,8,9,6,7,12,13,10,11,1,4,14],[3,13,1,6,7,4,5,10,11,8,9,14,2,12],[14,4,5,2,3,8,9,6,7,12,13,10,11,1],[7,12,13,10,11,1,4,14,2,5,8,3,6,9],[11,8,9,14,2,12,13,3,6,1,4,7,10,5],[9,10,11,12,13,14,2,1,4,3,6,5,8,7],[13,14,2,1,4,3,6,5,8,7,10,9,12,11],[2,1,4,3,6,5,8,7,10,9,12,11,14,13],[4,3,6,5,8,7,10,9,12,11,14,13,1,2],[6,5,8,7,10,9,12,11,14,13,1,2,3,4],[8,7,10,9,12,11,14,13,1,2,3,4,5,6],[10,9,12,11,14,13,1,2,3,4,5,6,7,8],[12,11,14,13,1,2,3,4,5,6,7,8,9,10]],[[1,4,3,6,5,8,7,10,9,12,11,14,13,2],[3,2,5,4,7,6,9,8,11,10,13,12,1,14],[2,1,4,3,6,5,8,7,10,9,12,11,14,13],[14,3,2,5,4,7,6,9,8,11,10,13,12,1],[4,7,6,9,8,11,10,13,12,1,14,3,2,5],[6,5,8,7,10,9,12,11,14,13,2,1,4,3],[5,6,7,8,9,10,11,12,13,14,1,2,3,4],[7,8,9,10,11,12,13,14,1,2,3,4,5,6],[8,9,10,11,12,13,14,1,2,3,4,5,6,7],[9,10,11,12,13,14,1,2,3,4,5,6,7,8],[10,11,12,13,14,1,2,3,4,5,6,7,8,9],[11,12,13,14,1,2,3,4,5,6,7,8,9,10],[12,13,14,1,2,3,4,5,6,7,8,9,10,11],[13,14,1,2,3,4,5,6,7,8,9,10,11,12]],[[14,12,13,11,10,8,9,1,5,3,7,2,6,4],[12,14,11,13,7,10,2,9,6,4,8,1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,[4,1,6,3,8,5,2,7,9,12,13,10,11,14],[7,8,1,2,3,4,5,6,14,13,12,11,10,9],[1,2,3,4,5,6,7,8,13,14,11,12,9,10]],[[14,10,13,11,3,12,4,9,5,8,6,1,7,2],[10,14,11,13,12,4,9,5,2,6,1,7,8,3],[6,11,14,12,13,9,5,10,8,3,7,2,1,4],[11,7,12,14,9,13,10,6,3,1,4,8,2,5],[7,12,8,9,14,10,13,11,1,4,2,5,3,6],[12,8,9,1,10,14,11,13,6,2,5,3,4,7],[13,9,1,10,2,11,14,12,4,7,3,6,5,8],[9,13,10,2,11,3,12,14,7,5,8,4,6,1],[1,6,4,7,5,2,8,3,14,12,13,9,11,10],[4,2,7,5,8,6,3,1,10,14,9,13,12,11],[2,5,3,8,6,1,7,4,13,11,14,10,9,12],[5,3,6,4,1,7,2,8,11,13,12,14,10,9],[3,4,5,6,7,8,1,2,12,9,10,11,13,14],[8,1,2,3,4,5,6,7,9,10,11,12,14,13]],[[10,14,7,13,8,12,9,11,1,2,3,4,5,6],[2,10,14,8,13,9,12,1,11,3,4,5,6,7],[11,3,10,14,9,13,1,12,2,4,5,6,7,8],[3,11,4,10,14,1,13,2,12,5,6,7,8,9],[12,4,11,5,10,14,2,13,3,6,7,8,9,1],[4,12,5,11,6,10,14,3,13,7,8,9,1,2],[13,5,12,6,11,7,10,14,4,8,9,1,2,3],[5,13,6,12,7,11,8,10,14,9,1,2,3,4],[14,6,13,7,12,8,11,9,10,1,2,3,4,5],[6,7,8,9,1,2,3,4,5,12,13,14,10,11],[7,8,9,1,2,3,4,5,6,13,14,10,11,12],[8,9,1,2,3,4,5,6,7,14,10,11,12,13],[9,1,2,3,4,5,6,7,8,10,11,12,13,14],[1,2,3,4,5,6,7,8,9,11,12,13,14,10]],[[6,11,7,12,8,10,14,5,13,3,2,4,9,1],[13,7,12,8,10,9,11,14,6,5,4,3,1,2],[7,13,8,10,9,11,1,12,14,4,6,5,2,3],[14,8,13,9,11,1,12,2,10,6,5,7,3,4],[11,14,9,13,1,12,2,10,3,8,7,6,4,5],[4,12,14,1,13,2,10,3,11,7,9,8,5,6],[12,5,10,14,2,13,3,11,4,9,8,1,6,7],[5,10,6,11,14,3,13,4,12,2,1,9,7,8],[10,6,11,7,12,14,4,13,5,1,3,2,8,9],[9,2,1,3,5,4,6,8,7,13,14,10,11,12],[8,1,3,2,4,6,5,7,9,11,13,14,12,10],[1,9,2,4,3,5,7,6,8,14,12,13,10,11],[2,3,4,5,6,7,8,9,1,12,10,11,13,14],[3,4,5,6,7,8,9,1,2,10,11,12,14,13]],[[14,7,13,8,12,9,11,10,5,1,6,2,3,4],[2,14,8,13,9,12,10,11,1,6,7,3,4,5],[7,3,14,9,13,10,12,1,11,2,8,4,5,6],[3,8,4,14,10,13,1,12,2,11,9,5,6,7],[11,4,9,5,14,1,13,2,12,3,10,6,7,8],[4,11,5,10,6,14,2,13,3,12,1,7,8,9],[12,5,11,6,1,7,14,3,13,4,2,8,9,10],[5,12,6,11,7,2,8,14,4,13,3,9,10,1],[13,6,12,7,11,8,3,9,14,5,4,10,1,2],[6,13,7,12,8,11,9,4,10,14,5,1,2,3],[8,9,10,1,2,3,4,5,6,7,13,14,11,12],[9,10,1,2,3,4,5,6,7,8,14,11,12,13],[10,1,2,3,4,5,6,7,8,9,11,12,13,14],[1,2,3,4,5,6,7,8,9,10,12,13,14,11]],[[1,3,2,6,8,11,13,5,14,12,4,10,7,9],[11,2,4,3,7,9,12,14,6,13,1,5,10,8],[14,12,3,5,4,8,10,11,13,7,6,2,9,1],[8,13,11,4,6,5,9,1,12,14,3,7,2,10],[13,9,14,12,5,7,6,10,2,11,8,4,1,3],[12,14,10,13,11,6,8,7,1,3,5,9,4,2],[4,11,13,1,14,12,7,9,8,2,10,6,3,5],[3,5,12,14,2,13,11,8,10,9,7,1,6,4],[10,4,6,11,13,3,14,12,9,1,2,8,5,7],[2,1,5,7,12,14,4,13,11,10,9,3,8,6],[5,6,7,8,9,10,1,2,3,4,12,11,13,14],[9,10,1,2,3,4,5,6,7,8,11,12,14,13],[7,8,9,10,1,2,3,4,5,6,13,14,11,12],[6,7,8,9,10,1,2,3,4,5,14,13,12,11]],[[14,11,13,12,3,9,4,10,5,1,8,6,7,2],[2,14,12,13,11,4,10,5,1,6,7,9,8,3],[7,3,14,11,13,12,5,1,6,2,10,8,9,4],[3,8,4,14,12,13,11,6,2,7,9,1,10,5],[8,4,9,5,14,11,13,12,7,3,2,10,1,6],[4,9,5,10,6,14,12,13,11,8,1,3,2,7],[9,5,10,6,1,7,14,11,13,12,4,2,3,8],[11,10,6,1,7,2,8,14,12,13,3,5,4,9],[13,12,1,7,2,8,3,9,14,11,6,4,5,10],[12,13,11,2,8,3,9,4,10,14,5,7,6,1],[1,6,3,8,5,10,7,2,9,4,14,13,12,11],[5,2,7,4,9,6,1,8,3,10,13,14,11,12],[6,7,8,9,10,1,2,3,4,5,12,11,13,14],[10,1,2,3,4,5,6,7,8,9,11,12,14,13]],[[1,3,2,6,8,11,13,5,14,12,4,10,7,9],[11,2,4,3,7,9,12,14,6,13,1,5,10,8],[14,12,3,5,4,8,10,11,13,7,6,2,9,1],[8,13,11,4,6,5,9,1,12,14,3,7,2,10],[13,9,14,12,5,7,6,10,2,11,8,4,1,3],[12,14,10,13,11,6,8,7,1,3,5,9,4,2],[4,11,13,1,14,12,7,9,8,2,10,6,3,5],[3,5,12,14,2,13,11,8,10,9,7,1,6,4],[10,4,6,11,13,3,14,12,9,1,2,8,5,7],[2,1,5,7,12,14,4,13,11,10,9,3,8,6],[5,8,7,10,9,2,1,4,3,6,13,11,12,14],[7,6,9,8,1,10,3,2,5,4,12,14,13,11],[6,7,8,9,10,1,2,3,4,5,11,12,14,13],[9,10,1,2,3,4,5,6,7,8,14,13,11,12]],[[7,14,8,13,9,12,10,5,11,6,1,4,3,2],[2,8,14,9,13,10,12,11,6,1,7,5,4,3],[8,3,9,14,10,13,11,12,1,7,2,6,5,4],[3,9,4,10,14,11,13,1,12,2,8,7,6,5],[9,4,10,5,11,14,1,13,2,12,3,8,7,6],[4,10,5,11,6,1,14,2,13,3,12,9,8,7],[12,5,11,6,1,7,2,14,3,13,4,10,9,8],[5,12,6,1,7,2,8,3,14,4,13,11,10,9],[13,6,12,7,2,8,3,9,4,14,5,1,11,10],[6,13,7,12,8,3,9,4,10,5,14,2,1,11],[14,7,13,8,12,9,4,10,5,11,6,3,2,1],[1,2,3,4,5,6,7,8,9,10,11,14,12,13],[11,1,2,3,4,5,6,7,8,9,10,13,14,12],[10,11,1,2,3,4,5,6,7,8,9,12,13,14]],[[14,13,3,9,4,10,5,11,6,12,7,1,8,2],[2,14,13,4,10,5,11,6,12,7,1,8,9,3],[9,3,14,13,5,11,6,12,7,1,8,2,10,4],[3,10,4,14,13,6,12,7,1,8,2,9,11,5],[10,4,11,5,14,13,7,1,8,2,9,3,12,6],[4,11,5,12,6,14,13,8,2,9,3,10,1,7],[11,5,12,6,1,7,14,13,9,3,10,4,2,8],[5,12,6,1,7,2,8,14,13,10,4,11,3,9],[12,6,1,7,2,8,3,9,14,13,11,5,4,10],[6,1,7,2,8,3,9,4,10,14,13,12,5,11],[1,7,2,8,3,9,4,10,5,11,14,13,6,12],[13,2,8,3,9,4,10,5,11,6,12,14,7,1],[8,9,10,11,12,1,2,3,4,5,6,7,14,13],[7,8,9,10,11,12,1,2,3,4,5,6,13,14]],[[1,4,2,7,3,11,8,13,5,14,6,9,10,12],[10,2,5,3,8,4,12,9,14,6,13,7,1,11],[8,11,3,6,4,9,5,1,10,13,7,14,12,2],[13,9,12,4,7,5,10,6,2,11,14,8,3,1],[9,14,10,1,5,8,6,11,7,3,12,13,2,4],[14,10,13,11,2,6,9,7,12,8,4,1,5,3],[2,13,11,14,12,3,7,10,8,1,9,5,4,6],[6,3,14,12,13,1,4,8,11,9,2,10,7,5],[11,7,4,13,1,14,2,5,9,12,10,3,6,8],[4,12,8,5,14,2,13,3,6,10,1,11,9,7],[12,5,1,9,6,13,3,14,4,7,11,2,8,10],[3,1,6,2,10,7,14,4,13,5,8,12,11,9],[5,6,7,8,9,10,11,12,1,2,3,4,14,13],[7,8,9,10,11,12,1,2,3,4,5,6,13,14]],[[8,14,9,3,10,4,11,5,12,6,13,7,1,2],[2,9,14,10,4,11,5,12,6,13,7,1,8,3],[9,3,10,14,11,5,12,6,13,7,1,8,2,4],[3,10,4,11,14,12,6,13,7,1,8,2,9,5],[10,4,11,5,12,14,13,7,1,8,2,9,3,6],[4,11,5,12,6,13,14,1,8,2,9,3,10,7],[11,5,12,6,13,7,1,14,2,9,3,10,4,8],[5,12,6,13,7,1,8,2,14,3,10,4,11,9],[12,6,13,7,1,8,2,9,3,14,4,11,5,10],[6,13,7,1,8,2,9,3,10,4,14,5,12,11],[13,7,1,8,2,9,3,10,4,11,5,14,6,12],[7,1,8,2,9,3,10,4,11,5,12,6,14,13],[14,8,2,9,3,10,4,11,5,12,6,13,7,1],[1,2,3,4,5,6,7,8,9,10,11,12,13,14]]]; AutRep[15]:=[[(),(),()],[(),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15)],[(),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2,3),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(1,2,3),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2,3)(4,5,6),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(1,2,3)(4,5,6),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5)(6,7)(8,9)(10,11)(12,13)(14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5)(6,7,8),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5)(6,7,8)(9,10,11),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5)(6,7,8)(9,10,11)(12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5)(6,7,8,9,10)(11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)],[(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)(14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12)],[(1,2,3,4,5,6,7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)]]; LatinRep[15]:=[[[7,13,8,15,4,11,5,9,1,2,14,6,12,3,10],[2,8,13,3,6,5,15,12,9,1,7,11,10,4,14],[3,14,2,6,5,13,7,10,12,8,4,1,11,9,15],[10,2,7,1,14,9,13,4,11,15,3,12,5,8,6],[12,9,6,7,1,15,2,11,4,3,10,5,8,14,13],[9,10,1,5,8,12,4,3,6,14,2,7,13,15,11],[13,11,3,8,12,2,10,14,5,7,6,15,4,1,9],[14,5,9,10,2,6,12,1,8,4,11,3,15,13,7],[1,12,14,11,13,3,9,15,2,10,5,4,6,7,8],[6,1,5,4,9,14,8,13,3,11,15,10,7,2,12],[15,6,12,9,10,4,14,5,7,13,1,8,2,11,3],[5,15,10,2,7,1,11,8,14,6,9,13,3,12,4],[11,7,4,12,15,10,3,6,13,9,8,2,14,5,1],[4,3,15,13,11,8,1,7,10,5,12,14,9,6,2],[8,4,11,14,3,7,6,2,15,12,13,9,1,10,5]],[[4,5,6,1,2,3,7,8,9,13,14,15,10,11,12],[6,4,5,2,3,1,14,15,13,10,11,12,9,7,8],[1,2,3,7,8,9,10,11,12,15,13,14,4,5,6],[12,10,11,4,5,6,13,14,15,8,9,7,3,1,2],[5,6,4,10,11,12,15,13,14,1,2,3,7,8,9],[7,8,9,3,1,2,6,4,5,14,15,13,11,12,10],[10,11,12,13,14,15,1,2,3,5,6,4,8,9,7],[14,15,13,8,9,7,2,3,1,4,5,6,12,10,11],[13,14,15,5,6,4,8,9,7,12,10,11,1,2,3],[2,3,1,15,13,14,9,7,8,11,12,10,5,6,4],[3,1,2,14,15,13,11,12,10,7,8,9,6,4,5],[15,13,14,6,4,5,12,10,11,9,7,8,2,3,1],[11,12,10,9,7,8,4,5,6,2,3,1,13,14,15],[8,9,7,11,12,10,3,1,2,6,4,5,14,15,13],[9,7,8,12,10,11,5,6,4,3,1,2,15,13,14]],[[1,2,3,4,5,11,12,13,14,15,6,7,8,9,10],[15,11,12,13,14,6,7,8,9,10,2,3,4,5,1],[6,7,8,9,10,1,2,3,4,5,11,12,13,14,15],[11,12,13,14,15,7,8,9,10,6,1,2,3,4,5],[10,6,7,8,9,2,3,4,5,1,12,13,14,15,11],[2,3,4,5,1,15,11,12,13,14,7,8,9,10,6],[7,8,9,10,6,12,13,14,15,11,3,4,5,1,2],[12,13,14,15,11,3,4,5,1,2,8,9,10,6,7],[3,4,5,1,2,8,9,10,6,7,13,14,15,11,12],[8,9,10,6,7,13,14,15,11,12,4,5,1,2,3],[13,14,15,11,12,4,5,1,2,3,9,10,6,7,8],[4,5,1,2,3,9,10,6,7,8,14,15,11,12,13],[9,10,6,7,8,14,15,11,12,13,5,1,2,3,4],[14,15,11,12,13,5,1,2,3,4,10,6,7,8,9],[5,1,2,3,4,10,6,7,8,9,15,11,12,13,14]],[[3,4,5,6,7,8,9,10,11,12,13,14,15,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,1]],[[15,14,10,12,13,7,11,9,2,8,4,1,6,3,5],[14,15,12,10,8,13,9,11,1,7,3,2,5,4,6],[10,12,15,14,11,9,13,2,3,4,1,6,8,5,7],[12,10,14,15,9,11,1,13,4,3,2,5,7,6,8],[4,13,11,9,15,14,12,10,8,5,6,3,1,7,2],[13,3,9,11,14,15,10,12,7,6,5,4,2,8,1],[11,9,6,13,12,10,15,14,5,1,7,8,3,2,4],[9,11,13,5,10,12,14,15,6,2,8,7,4,1,3],[1,2,4,3,7,8,6,5,15,13,14,9,10,11,12],[7,8,3,4,6,5,2,1,10,15,13,14,11,12,9],[3,4,2,1,5,6,8,7,14,11,15,13,12,9,10],[2,1,5,6,4,3,7,8,13,14,12,15,9,10,11],[5,6,7,8,2,1,4,3,11,12,9,10,15,13,14],[6,5,8,7,1,2,3,4,12,9,10,11,13,14,15],[8,7,1,2,3,4,5,6,9,10,11,12,14,15,13]],[[15,8,4,12,14,10,6,11,13,1,2,3,5,7,9],[7,15,12,3,9,14,11,5,2,13,1,4,6,8,10],[3,13,15,10,6,12,14,1,8,11,4,5,7,9,2],[13,4,9,15,12,5,2,14,11,7,3,6,8,10,1],[11,10,5,13,15,1,8,12,14,3,6,7,9,2,4],[9,11,13,6,2,15,12,7,4,14,5,8,10,1,3],[5,14,11,1,7,13,15,3,10,12,8,9,2,4,6],[14,6,2,11,13,8,4,15,12,9,7,10,1,3,5],[12,1,7,14,11,3,9,13,15,5,10,2,4,6,8],[2,12,14,8,4,11,13,10,6,15,9,1,3,5,7],[4,3,6,5,8,7,10,9,1,2,13,14,15,11,12],[6,5,8,7,10,9,1,2,3,4,14,15,11,12,13],[8,7,10,9,1,2,3,4,5,6,15,11,12,13,14],[10,9,1,2,3,4,5,6,7,8,11,12,13,14,15],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,11]],[[1,11,3,13,5,15,7,12,9,14,2,8,4,10,6],[15,2,12,4,14,6,11,8,13,10,7,3,9,5,1],[2,12,4,14,6,11,8,13,10,15,1,7,3,9,5],[11,3,13,5,15,7,12,9,14,1,6,2,8,4,10],[3,13,5,15,7,12,9,14,1,11,4,10,6,2,8],[12,4,14,6,11,8,13,10,15,2,9,5,1,7,3],[4,14,6,11,8,13,10,15,2,12,3,9,5,1,7],[13,5,15,7,12,9,14,1,11,3,8,4,10,6,2],[5,15,7,12,9,14,1,11,3,13,10,6,2,8,4],[14,6,11,8,13,10,15,2,12,4,5,1,7,3,9],[6,7,8,9,10,1,2,3,4,5,11,12,13,14,15],[7,8,9,10,1,2,3,4,5,6,12,13,14,15,11],[8,9,10,1,2,3,4,5,6,7,13,14,15,11,12],[9,10,1,2,3,4,5,6,7,8,14,15,11,12,13],[10,1,2,3,4,5,6,7,8,9,15,11,12,13,14]],[[15,9,14,5,13,11,8,6,4,12,10,1,2,7,3],[10,15,6,14,12,13,5,7,11,3,2,9,1,8,4],[8,13,15,11,14,2,3,12,10,1,6,7,4,9,5],[13,7,12,15,1,14,11,4,2,9,8,5,3,10,6],[4,14,10,13,15,8,9,1,5,7,12,3,6,11,2],[14,3,13,9,7,15,2,10,8,6,4,11,5,12,1],[7,6,4,12,10,1,15,5,14,11,13,2,8,3,9],[5,8,11,3,2,9,6,15,12,14,1,13,7,4,10],[3,12,9,1,6,7,4,13,15,2,14,8,10,5,11],[11,4,2,10,8,5,13,3,1,15,7,14,9,6,12],[9,1,5,7,11,3,10,14,6,13,15,4,12,2,8],[2,10,8,6,4,12,14,9,13,5,3,15,11,1,7],[6,5,1,2,3,4,12,11,7,8,9,10,15,13,14],[12,11,7,8,9,10,1,2,3,4,5,6,13,14,15],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,13]],[[2,1,4,3,6,5,7,13,9,15,11,14,8,12,10],[6,3,2,5,4,1,15,8,14,10,13,12,11,9,7],[1,7,3,9,5,11,8,14,10,13,12,15,2,6,4],[12,2,8,4,10,6,13,9,15,11,14,7,5,3,1],[4,8,6,10,2,12,14,1,13,3,15,5,7,11,9],[7,5,9,1,11,3,6,15,2,14,4,13,10,8,12],[8,13,10,15,12,14,1,4,3,6,5,2,9,7,11],[15,9,14,11,13,7,3,2,5,4,1,6,12,10,8],[13,4,15,6,14,2,9,12,11,8,7,10,1,5,3],[3,14,5,13,1,15,11,10,7,12,9,8,4,2,6],[5,15,1,14,3,13,10,7,12,9,8,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,5,12,14,15,13],[6,7,8,9,10,11,12,1,2,3,4,5,13,14,15]],[[13,8,14,9,15,10,4,11,5,12,6,1,7,3,2],[2,14,9,15,10,13,11,5,12,6,1,7,3,8,4],[8,3,15,10,13,11,14,12,6,1,7,2,5,4,9],[3,9,4,13,11,14,12,15,1,7,2,8,10,6,5],[9,4,10,5,14,12,15,1,13,2,8,3,6,11,7],[4,10,5,11,6,15,1,13,2,14,3,9,8,7,12],[10,5,11,6,12,7,13,2,14,3,15,4,1,9,8],[5,11,6,12,7,1,8,14,3,15,4,13,9,2,10],[14,6,12,7,1,8,2,9,15,4,13,5,11,10,3],[6,15,7,1,8,2,9,3,10,13,5,14,4,12,11],[15,7,13,8,2,9,3,10,4,11,14,6,12,5,1],[7,13,8,14,9,3,10,4,11,5,12,15,2,1,6],[12,2,1,3,5,4,6,8,7,9,11,10,15,14,13],[11,1,3,2,4,6,5,7,9,8,10,12,14,13,15],[1,12,2,4,3,5,7,6,8,10,9,11,13,15,14]],[[8,15,9,14,10,4,11,5,12,6,13,7,1,3,2],[2,9,15,10,14,11,5,12,6,13,7,1,8,4,3],[9,3,10,15,11,14,12,6,13,7,1,8,2,5,4],[3,10,4,11,15,12,14,13,7,1,8,2,9,6,5],[10,4,11,5,12,15,13,14,1,8,2,9,3,7,6],[4,11,5,12,6,13,15,1,14,2,9,3,10,8,7],[11,5,12,6,13,7,1,15,2,14,3,10,4,9,8],[5,12,6,13,7,1,8,2,15,3,14,4,11,10,9],[12,6,13,7,1,8,2,9,3,15,4,14,5,11,10],[6,13,7,1,8,2,9,3,10,4,15,5,14,12,11],[14,7,1,8,2,9,3,10,4,11,5,15,6,13,12],[7,14,8,2,9,3,10,4,11,5,12,6,15,1,13],[15,8,14,9,3,10,4,11,5,12,6,13,7,2,1],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,14],[13,1,2,3,4,5,6,7,8,9,10,11,12,14,15]],[[15,9,2,10,3,11,4,12,5,13,6,14,7,1,8],[2,15,10,3,11,4,12,5,13,6,14,7,1,8,9],[9,3,15,11,4,12,5,13,6,14,7,1,8,2,10],[3,10,4,15,12,5,13,6,14,7,1,8,2,9,11],[10,4,11,5,15,13,6,14,7,1,8,2,9,3,12],[4,11,5,12,6,15,14,7,1,8,2,9,3,10,13],[11,5,12,6,13,7,15,1,8,2,9,3,10,4,14],[5,12,6,13,7,14,8,15,2,9,3,10,4,11,1],[12,6,13,7,14,8,1,9,15,3,10,4,11,5,2],[6,13,7,14,8,1,9,2,10,15,4,11,5,12,3],[13,7,14,8,1,9,2,10,3,11,15,5,12,6,4],[7,14,8,1,9,2,10,3,11,4,12,15,6,13,5],[14,8,1,9,2,10,3,11,4,12,5,13,15,7,6],[8,1,9,2,10,3,11,4,12,5,13,6,14,15,7],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]],[[9,2,10,3,11,4,12,5,13,6,14,7,15,8,1],[2,10,3,11,4,12,5,13,6,14,7,15,8,1,9],[10,3,11,4,12,5,13,6,14,7,15,8,1,9,2],[3,11,4,12,5,13,6,14,7,15,8,1,9,2,10],[11,4,12,5,13,6,14,7,15,8,1,9,2,10,3],[4,12,5,13,6,14,7,15,8,1,9,2,10,3,11],[12,5,13,6,14,7,15,8,1,9,2,10,3,11,4],[5,13,6,14,7,15,8,1,9,2,10,3,11,4,12],[13,6,14,7,15,8,1,9,2,10,3,11,4,12,5],[6,14,7,15,8,1,9,2,10,3,11,4,12,5,13],[14,7,15,8,1,9,2,10,3,11,4,12,5,13,6],[7,15,8,1,9,2,10,3,11,4,12,5,13,6,14],[15,8,1,9,2,10,3,11,4,12,5,13,6,14,7],[8,1,9,2,10,3,11,4,12,5,13,6,14,7,15],[1,9,2,10,3,11,4,12,5,13,6,14,7,15,8]]]; AutRep[16]:=[[(),(),()],[(),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2)(3,4),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2)(3,4),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2)(3,4),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2)(3,4),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2)(3,4)(5,6),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)],[(1,2)(3,4)(5,6)(7,8),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(1,2,3,4),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5)(6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5)(6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)],[(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)(14,15),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)(14,15),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)(14,15)],[(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9)(10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)(15,16)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10)(11,12),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)]]; LatinRep[16]:=[[[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,9],[2,3,4,5,6,7,8,1,9,10,11,12,13,14,15,16],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[16,9,10,11,12,13,14,15,2,3,4,5,6,7,8,1],[10,11,12,13,14,15,16,9,3,4,5,6,7,8,1,2],[3,4,5,6,7,8,1,2,11,12,13,14,15,16,9,10],[11,12,13,14,15,16,9,10,4,5,6,7,8,1,2,3],[4,5,6,7,8,1,2,3,12,13,14,15,16,9,10,11],[12,13,14,15,16,9,10,11,5,6,7,8,1,2,3,4],[5,6,7,8,1,2,3,4,13,14,15,16,9,10,11,12],[13,14,15,16,9,10,11,12,6,7,8,1,2,3,4,5],[6,7,8,1,2,3,4,5,14,15,16,9,10,11,12,13],[14,15,16,9,10,11,12,13,7,8,1,2,3,4,5,6],[7,8,1,2,3,4,5,6,15,16,9,10,11,12,13,14],[15,16,9,10,11,12,13,14,8,1,2,3,4,5,6,7],[8,1,2,3,4,5,6,7,16,9,10,11,12,13,14,15]],[[1,2,4,3,5,6,8,7,9,10,12,11,13,14,16,15],[2,1,3,4,6,5,7,8,10,9,11,12,14,13,15,16],[3,4,1,2,7,8,5,6,11,12,9,10,15,16,13,14],[4,3,2,1,8,7,6,5,12,11,10,9,16,15,14,13],[5,6,8,7,1,2,4,3,13,14,16,15,9,10,12,11],[6,5,7,8,2,1,3,4,14,13,15,16,10,9,11,12],[7,8,5,6,3,4,1,2,15,16,13,14,11,12,9,10],[8,7,6,5,4,3,2,1,16,15,14,13,12,11,10,9],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[11,12,10,9,15,16,14,13,3,4,2,1,7,8,6,5],[10,9,12,11,14,13,16,15,2,1,4,3,6,5,8,7],[12,11,9,10,16,15,13,14,4,3,1,2,8,7,5,6],[13,14,15,16,9,10,11,12,5,6,7,8,1,2,3,4],[15,16,14,13,11,12,10,9,7,8,6,5,3,4,2,1],[14,13,16,15,10,9,12,11,6,5,8,7,2,1,4,3],[16,15,13,14,12,11,9,10,8,7,5,6,4,3,1,2]],[[1,2,3,4,6,7,8,5,9,10,11,12,14,15,16,13],[2,3,4,1,5,6,7,8,10,11,12,9,13,14,15,16],[5,6,7,8,1,2,3,4,13,14,15,16,9,10,11,12],[8,5,6,7,2,3,4,1,16,13,14,15,10,11,12,9],[6,7,8,5,4,1,2,3,14,15,16,13,12,9,10,11],[7,8,5,6,3,4,1,2,15,16,13,14,11,12,9,10],[3,4,1,2,7,8,5,6,11,12,9,10,15,16,13,14],[4,1,2,3,8,5,6,7,12,9,10,11,16,13,14,15],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[13,14,15,16,10,11,12,9,5,6,7,8,2,3,4,1],[10,11,12,9,14,15,16,13,2,3,4,1,6,7,8,5],[14,15,16,13,11,12,9,10,6,7,8,5,3,4,1,2],[11,12,9,10,15,16,13,14,3,4,1,2,7,8,5,6],[15,16,13,14,12,9,10,11,7,8,5,6,4,1,2,3],[12,9,10,11,16,13,14,15,4,1,2,3,8,5,6,7],[16,13,14,15,9,10,11,12,8,5,6,7,1,2,3,4]],[[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,9],[2,3,4,5,6,7,8,1,9,10,11,12,13,14,15,16],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[16,9,10,11,12,13,14,15,2,3,4,5,6,7,8,1],[10,11,12,13,14,15,16,9,3,4,5,6,7,8,1,2],[3,4,5,6,7,8,1,2,11,12,13,14,15,16,9,10],[11,12,13,14,15,16,9,10,4,5,6,7,8,1,2,3],[4,5,6,7,8,1,2,3,12,13,14,15,16,9,10,11],[12,13,14,15,16,9,10,11,5,6,7,8,1,2,3,4],[5,6,7,8,1,2,3,4,13,14,15,16,9,10,11,12],[13,14,15,16,9,10,11,12,6,7,8,1,2,3,4,5],[6,7,8,1,2,3,4,5,14,15,16,9,10,11,12,13],[14,15,16,9,10,11,12,13,7,8,1,2,3,4,5,6],[7,8,1,2,3,4,5,6,15,16,9,10,11,12,13,14],[15,16,9,10,11,12,13,14,8,1,2,3,4,5,6,7],[8,1,2,3,4,5,6,7,16,9,10,11,12,13,14,15]],[[3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1]],[[1,3,2,4,5,7,6,8,9,11,10,12,13,15,14,16],[4,2,3,1,8,6,7,5,12,10,11,9,16,14,15,13],[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15],[3,4,1,2,7,8,5,6,11,12,9,10,15,16,13,14],[5,6,7,8,1,2,3,4,13,14,15,16,9,10,11,12],[6,5,8,7,2,1,4,3,14,13,16,15,10,9,12,11],[7,8,5,6,3,4,1,2,15,16,13,14,11,12,9,10],[8,7,6,5,4,3,2,1,16,15,14,13,12,11,10,9],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[10,9,12,11,14,13,16,15,2,1,4,3,6,5,8,7],[11,12,9,10,15,16,13,14,3,4,1,2,7,8,5,6],[12,11,10,9,16,15,14,13,4,3,2,1,8,7,6,5],[13,14,15,16,9,10,11,12,5,6,7,8,1,2,3,4],[14,13,16,15,10,9,12,11,6,5,8,7,2,1,4,3],[15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2],[16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1]],[[1,4,3,2,5,8,7,6,9,12,11,10,13,16,15,14],[3,2,1,4,7,6,5,8,11,10,9,12,15,14,13,16],[2,3,4,1,6,7,8,5,10,11,12,9,14,15,16,13],[4,1,2,3,8,5,6,7,12,9,10,11,16,13,14,15],[5,6,7,8,1,2,3,4,13,14,15,16,9,10,11,12],[6,7,8,5,2,3,4,1,14,15,16,13,10,11,12,9],[7,8,5,6,3,4,1,2,15,16,13,14,11,12,9,10],[8,5,6,7,4,1,2,3,16,13,14,15,12,9,10,11],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[10,11,12,9,14,15,16,13,2,3,4,1,6,7,8,5],[11,12,9,10,15,16,13,14,3,4,1,2,7,8,5,6],[12,9,10,11,16,13,14,15,4,1,2,3,8,5,6,7],[13,14,15,16,9,10,11,12,5,6,7,8,1,2,3,4],[14,15,16,13,10,11,12,9,6,7,8,5,2,3,4,1],[15,16,13,14,11,12,9,10,7,8,5,6,3,4,1,2],[16,13,14,15,12,9,10,11,8,5,6,7,4,1,2,3]],[[1,4,3,6,5,8,7,2,9,12,11,14,13,16,15,10],[3,2,5,4,7,6,1,8,11,10,13,12,15,14,9,16],[2,3,4,5,6,7,8,1,10,11,12,13,14,15,16,9],[4,5,6,7,8,1,2,3,12,13,14,15,16,9,10,11],[5,6,7,8,1,2,3,4,13,14,15,16,9,10,11,12],[6,7,8,1,2,3,4,5,14,15,16,9,10,11,12,13],[7,8,1,2,3,4,5,6,15,16,9,10,11,12,13,14],[8,1,2,3,4,5,6,7,16,9,10,11,12,13,14,15],[9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8],[10,11,12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,10,11,12],[6,14,7,1,8,2,9,3,10,4,16,5,15,11,12,13],[15,7,14,8,2,9,3,10,4,11,5,16,6,12,13,1],[7,15,8,14,9,3,10,4,11,5,12,6,16,13,1,2],[16,8,15,9,14,10,4,11,5,12,6,13,7,1,2,3],[12,13,1,2,3,4,5,6,7,8,9,10,11,16,14,15],[13,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,14]],[[15,9,2,10,3,11,4,12,5,13,6,14,7,16,8,1],[16,15,10,3,11,4,12,5,13,6,14,7,1,8,9,2],[9,16,15,11,4,12,5,13,6,14,7,1,8,2,10,3],[3,10,16,15,12,5,13,6,14,7,1,8,2,9,11,4],[10,4,11,16,15,13,6,14,7,1,8,2,9,3,12,5],[4,11,5,12,16,15,14,7,1,8,2,9,3,10,13,6],[11,5,12,6,13,16,15,1,8,2,9,3,10,4,14,7],[5,12,6,13,7,14,16,15,2,9,3,10,4,11,1,8],[12,6,13,7,14,8,1,16,15,3,10,4,11,5,2,9],[6,13,7,14,8,1,9,2,16,15,4,11,5,12,3,10],[13,7,14,8,1,9,2,10,3,16,15,5,12,6,4,11],[7,14,8,1,9,2,10,3,11,4,16,15,6,13,5,12],[14,8,1,9,2,10,3,11,4,12,5,16,15,7,6,13],[8,1,9,2,10,3,11,4,12,5,13,6,16,15,7,14],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,15],[2,3,4,5,6,7,8,9,10,11,12,13,14,1,15,16]],[[1,3,2,6,8,4,11,13,15,5,16,9,7,10,12,14],[11,2,4,3,7,9,5,12,14,16,6,15,10,8,1,13],[9,12,3,5,4,8,10,6,13,1,15,7,16,11,14,2],[12,10,13,4,6,5,9,11,7,14,2,16,8,15,3,1],[16,13,11,14,5,7,6,10,12,8,1,3,15,9,2,4],[10,15,14,12,1,6,8,7,11,13,9,2,4,16,5,3],[15,11,16,1,13,2,7,9,8,12,14,10,3,5,4,6],[6,16,12,15,2,14,3,8,10,9,13,1,11,4,7,5],[5,7,15,13,16,3,1,4,9,11,10,14,2,12,6,8],[13,6,8,16,14,15,4,2,5,10,12,11,1,3,9,7],[4,14,7,9,15,1,16,5,3,6,11,13,12,2,8,10],[3,5,1,8,10,16,2,15,6,4,7,12,14,13,11,9],[14,4,6,2,9,11,15,3,16,7,5,8,13,1,10,12],[2,1,5,7,3,10,12,16,4,15,8,6,9,14,13,11],[7,8,9,10,11,12,13,14,1,2,3,4,5,6,15,16],[8,9,10,11,12,13,14,1,2,3,4,5,6,7,16,15]],[[9,16,10,3,11,4,12,5,13,6,14,7,15,8,1,2],[2,10,16,11,4,12,5,13,6,14,7,15,8,1,9,3],[10,3,11,16,12,5,13,6,14,7,15,8,1,9,2,4],[3,11,4,12,16,13,6,14,7,15,8,1,9,2,10,5],[11,4,12,5,13,16,14,7,15,8,1,9,2,10,3,6],[4,12,5,13,6,14,16,15,8,1,9,2,10,3,11,7],[12,5,13,6,14,7,15,16,1,9,2,10,3,11,4,8],[5,13,6,14,7,15,8,1,16,2,10,3,11,4,12,9],[13,6,14,7,15,8,1,9,2,16,3,11,4,12,5,10],[6,14,7,15,8,1,9,2,10,3,16,4,12,5,13,11],[14,7,15,8,1,9,2,10,3,11,4,16,5,13,6,12],[7,15,8,1,9,2,10,3,11,4,12,5,16,6,14,13],[15,8,1,9,2,10,3,11,4,12,5,13,6,16,7,14],[8,1,9,2,10,3,11,4,12,5,13,6,14,7,16,15],[16,9,2,10,3,11,4,12,5,13,6,14,7,15,8,1],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]]]; AutRep[17]:=[[(),(),()],[(),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17)],[(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10),(1,2)(3,4)(5,6)(7,8)(9,10)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)],[(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)],[(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9),(1,2,3)(4,5,6)(7,8,9)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12),(1,2,3)(4,5,6)(7,8,9)(10,11,12)],[(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15),(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)],[(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12),(1,2,3,4)(5,6,7,8)(9,10,11,12)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14)(15,16)],[(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16),(1,2,3,4)(5,6,7,8)(9,10,11,12)(13,14,15,16)],[(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10),(1,2,3,4,5)(6,7,8,9,10)],[(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5)(6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)(14,15),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)(14,15),(1,2,3,4,5,6)(7,8,9)(10,11)(12,13)(14,15)],[(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9)(10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12),(1,2,3,4,5,6)(7,8,9,10,11,12)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6)(7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),(1,2,3,4,5,6,7)(8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8)(9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9),(1,2,3,4,5,6,7,8,9)],[(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9)(10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10),(1,2,3,4,5,6,7,8,9,10)],[(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)],[(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10)(11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10)(11,12,13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11),(1,2,3,4,5,6,7,8,9,10,11)],[(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12),(1,2,3,4,5,6,7,8,9,10,11,12)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12)(13,14,15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13),(1,2,3,4,5,6,7,8,9,10,11,12,13)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)(15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14)(15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)],[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17)]]; LatinRep[17]:=[[[12,15,4,9,17,10,3,7,16,14,8,5,13,1,11,2,6],[17,13,14,1,9,12,4,2,11,15,7,3,10,5,8,6,16],[10,12,1,13,14,15,8,16,3,2,11,9,4,6,17,5,7],[1,14,3,15,16,7,11,13,9,6,17,4,5,10,2,12,8],[4,16,12,3,8,2,14,10,17,11,5,6,15,9,1,7,13],[8,17,6,7,13,16,2,4,15,5,12,10,1,11,3,14,9],[11,4,15,16,10,13,7,12,14,17,6,1,3,8,5,9,2],[6,9,5,11,1,8,13,17,7,16,3,14,12,2,15,4,10],[9,3,13,4,2,6,17,15,5,10,16,11,14,12,7,8,1],[13,10,7,6,15,1,16,5,8,3,9,2,11,14,12,17,4],[15,6,16,17,12,3,5,1,2,8,10,7,9,4,13,11,14],[3,8,2,12,5,11,10,14,4,13,15,16,6,7,9,1,17],[14,2,11,5,6,17,1,9,12,7,4,13,8,3,10,16,15],[5,11,9,2,3,14,6,8,10,4,1,17,7,15,16,13,12],[16,7,17,8,11,4,15,3,1,9,14,12,2,13,6,10,5],[2,1,10,14,7,5,9,11,6,12,13,8,16,17,4,15,3],[7,5,8,10,4,9,12,6,13,1,2,15,17,16,14,3,11]],[[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1,2],[4,5,6,7,8,9,10,11,12,13,14,15,16,17,1,2,3],[5,6,7,8,9,10,11,12,13,14,15,16,17,1,2,3,4],[6,7,8,9,10,11,12,13,14,15,16,17,1,2,3,4,5],[7,8,9,10,11,12,13,14,15,16,17,1,2,3,4,5,6],[8,9,10,11,12,13,14,15,16,17,1,2,3,4,5,6,7],[9,10,11,12,13,14,15,16,17,1,2,3,4,5,6,7,8],[10,11,12,13,14,15,16,17,1,2,3,4,5,6,7,8,9],[11,12,13,14,15,16,17,1,2,3,4,5,6,7,8,9,10],[12,13,14,15,16,17,1,2,3,4,5,6,7,8,9,10,11],[13,14,15,16,17,1,2,3,4,5,6,7,8,9,10,11,12],[14,15,16,17,1,2,3,4,5,6,7,8,9,10,11,12,13],[15,16,17,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],[17,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1]],[[11,8,4,14,12,17,6,15,13,16,2,7,3,9,5,10,1],[7,11,14,3,17,12,15,5,16,13,1,8,4,10,6,9,2],[16,14,12,10,6,15,13,17,8,11,7,4,9,5,2,1,3],[14,16,9,12,15,5,17,13,11,7,8,3,10,6,1,2,4],[12,10,16,15,13,1,8,11,14,17,4,9,6,2,7,3,5],[9,12,15,16,2,13,11,7,17,14,3,10,5,1,8,4,6],[17,15,13,1,16,11,14,3,10,12,9,6,2,8,4,5,7],[15,17,2,13,11,16,4,14,12,9,10,5,1,7,3,6,8],[13,1,17,11,14,3,16,12,15,5,6,2,8,4,10,7,9],[2,13,11,17,4,14,12,16,6,15,5,1,7,3,9,8,10],[8,7,3,4,10,9,5,6,1,2,14,17,15,16,11,12,13],[4,3,10,9,5,6,1,2,7,8,12,15,17,11,16,13,14],[10,9,6,5,1,2,7,8,3,4,16,13,11,17,12,14,15],[6,5,1,2,8,7,3,4,9,10,13,16,14,12,17,15,11],[1,2,8,7,3,4,10,9,5,6,17,14,16,15,13,11,12],[3,4,5,6,7,8,9,10,2,1,15,11,12,13,14,16,17],[5,6,7,8,9,10,2,1,4,3,11,12,13,14,15,17,16]],[[13,7,4,10,14,9,6,17,15,11,8,16,2,5,3,12,1],[8,13,9,3,10,14,17,5,12,15,16,7,1,6,4,11,2],[16,10,14,9,6,12,15,11,8,17,13,2,5,4,7,1,3],[9,16,10,14,11,5,12,15,17,7,1,13,6,3,8,2,4],[4,14,16,12,15,11,8,1,13,2,10,17,9,7,6,3,5],[14,3,11,16,12,15,2,7,1,13,17,9,10,8,5,4,6],[17,12,6,15,16,1,13,2,10,3,14,4,8,11,9,5,7],[11,17,15,5,2,16,1,13,4,9,3,14,7,12,10,6,8],[6,15,17,1,8,13,16,3,14,4,12,5,11,10,2,7,9],[15,5,2,17,13,7,4,16,3,14,6,11,12,9,1,8,10],[7,1,8,13,17,3,10,14,16,5,15,6,4,2,12,9,11],[2,8,13,7,4,17,14,9,6,16,5,15,3,1,11,10,12],[12,11,3,4,1,2,5,6,9,10,7,8,16,17,13,14,15],[10,9,1,2,5,6,3,4,7,8,11,12,14,16,17,15,13],[1,2,12,11,3,4,7,8,5,6,9,10,17,15,16,13,14],[3,4,5,6,7,8,9,10,11,12,2,1,15,13,14,16,17],[5,6,7,8,9,10,11,12,2,1,4,3,13,14,15,17,16]],[[15,8,11,13,16,10,12,14,17,1,2,6,4,9,7,5,3],[7,15,14,12,9,16,13,11,2,17,5,1,10,3,8,6,4],[3,17,15,10,12,14,16,1,11,13,8,4,2,6,9,7,5],[17,4,9,15,13,11,2,16,14,12,3,7,5,1,10,8,6],[14,12,5,17,15,1,11,13,16,3,6,10,8,4,2,9,7],[11,13,17,6,2,15,14,12,4,16,9,5,3,7,1,10,8],[5,16,13,11,7,17,15,3,12,14,1,8,6,10,4,2,9],[16,6,12,14,17,8,4,15,13,11,7,2,9,5,3,1,10],[13,11,7,16,14,12,9,17,15,5,10,3,1,8,6,4,2],[12,14,16,8,11,13,17,10,6,15,4,9,7,2,5,3,1],[2,5,8,3,6,9,1,7,10,4,17,16,15,11,13,12,14],[6,1,4,7,10,5,8,2,3,9,16,17,12,15,14,11,13],[4,10,2,5,8,3,6,9,1,7,13,15,17,16,12,14,11],[9,3,6,1,4,7,10,5,8,2,15,14,16,17,11,13,12],[8,7,10,9,1,2,3,4,5,6,12,11,14,13,17,15,16],[1,2,3,4,5,6,7,8,9,10,14,13,11,12,15,16,17],[10,9,1,2,3,4,5,6,7,8,11,12,13,14,16,17,15]],[[17,5,9,13,3,7,11,15,10,14,4,8,12,16,6,1,2],[6,17,14,10,8,4,16,12,13,9,7,3,15,11,2,5,1],[10,13,17,7,11,15,5,2,3,8,12,16,6,1,14,9,4],[14,9,8,17,16,12,1,6,7,4,15,11,2,5,10,13,3],[4,7,12,15,17,2,13,10,11,16,5,1,14,9,8,3,6],[8,3,16,11,1,17,9,14,15,12,2,6,10,13,4,7,5],[12,15,6,2,14,10,17,4,5,1,13,9,7,3,16,11,8],[16,11,1,5,9,13,3,17,2,6,10,14,4,8,12,15,7],[9,14,4,8,12,16,6,1,17,13,3,7,11,15,5,2,10],[13,10,7,3,15,11,2,5,14,17,8,4,16,12,1,6,9],[3,8,11,16,6,1,14,9,4,7,17,15,5,2,13,10,12],[7,4,15,12,2,5,10,13,8,3,16,17,1,6,9,14,11],[11,16,5,1,13,9,8,3,12,15,6,2,17,10,7,4,14],[15,12,2,6,10,14,4,7,16,11,1,5,9,17,3,8,13],[5,1,13,9,7,3,15,11,6,2,14,10,8,4,17,12,16],[2,6,10,14,4,8,12,16,1,5,9,13,3,7,11,17,15],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]],[[13,16,10,17,11,14,12,15,1,4,7,2,5,8,3,6,9],[10,13,16,14,17,11,2,12,15,5,8,3,6,9,1,4,7],[16,10,13,11,14,17,15,3,12,6,9,1,4,7,2,5,8],[4,12,15,13,16,10,17,11,14,7,2,5,8,3,6,9,1],[15,5,12,10,13,16,14,17,11,8,3,6,9,1,4,7,2],[12,15,6,16,10,13,11,14,17,9,1,4,7,2,5,8,3],[14,17,11,7,12,15,13,16,10,2,5,8,3,6,9,1,4],[11,14,17,15,8,12,10,13,16,3,6,9,1,4,7,2,5],[17,11,14,12,15,9,16,10,13,1,4,7,2,5,8,3,6],[7,8,9,2,3,1,5,6,4,12,13,14,15,16,17,10,11],[2,3,1,5,6,4,8,9,7,13,14,15,16,17,10,11,12],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