local S, T;
S := [[ 1/60, 1/60, 1/60, 1/60, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/12, 1/12, 1/12, 1/12, 1/6, 1/6, 1/20, 1/20, 1/20, 1/20, 1/10, 1/10, 1/10, 1/10, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/4, 1/4, 1/4, 1/4, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15 ], [ 1/60, 1/60, 1/60, 1/60, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, -1/12, -1/12, -1/12, -1/12, -1/6, -1/6, -1/20, -1/20, -1/20, -1/20, -1/10, -1/10, -1/10, -1/10, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/4, 1/4, 1/4, 1/4, -1/6, -1/6, -1/6, -1/6, -1/6, -1/6, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15 ], [ 1/60, 1/60, 1/60, 1/60, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, -1/12, -1/12, -1/12, -1/12, -1/6, -1/6, 1/20, 1/20, 1/20, 1/20, 1/10, 1/10, 1/10, 1/10, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, -1/4, -1/4, -1/4, -1/4, -1/6, -1/6, -1/6, -1/6, -1/6, -1/6, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15 ], [ 1/60, 1/60, 1/60, 1/60, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/12, 1/12, 1/12, 1/12, 1/6, 1/6, -1/20, -1/20, -1/20, -1/20, -1/10, -1/10, -1/10, -1/10, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, -1/4, -1/4, -1/4, -1/4, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, -1/10, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15 ], [ 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, -1/6, -1/6, -1/6, -1/6, -1/3, -1/3, 0, 0, 0, 0, 0, 0, 0, 0, -1/30, -1/30, -1/30, -1/30, -1/30, -1/30, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 2/15, 2/15, 2/15, 0, 0, 0, 0, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 2/15, 2/15, 2/15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15 ], [ 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 0, 0, 0, 0, 0, 0, 0, 0, -1/30, -1/30, -1/30, -1/30, -1/30, -1/30, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 2/15, 2/15, 2/15, 0, 0, 0, 0, -1/6, -1/6, -1/6, -1/6, -1/6, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 2/15, 2/15, 2/15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15, -1/15 ], [ 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 0, 0, 0, 0, 0, 0, -1/10, -1/10, -1/10, -1/10, -1/5, -1/5, -1/5, -1/5, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 2/15, 2/15, 2/15, 2/15, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4 ], [ 1/30, 1/30, 1/30, 1/30, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 0, 0, 0, 0, 0, 0, -1/10, -1/10, -1/10, -1/10, -1/5, -1/5, -1/5, -1/5, 1/15, 1/15, 1/15, 1/15, 1/15, 1/15, 2/15, 2/15, 2/15, 2/15, 2/15, 2/15, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/30*E(5)+1/30*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, -1/10*E(5)-1/10*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/30*E(5)^2+1/30*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, -1/10*E(5)^2-1/10*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)^2+1/15*E(5)^3 ], [ 1/30, 1/30, 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-1/15*E(45)^2-1/15*E(45)^7-1/15*E(45)^8-1/15*E(45)^17-1/15*E(45)^28-1/15*E(45)^37-1/15*E(45)^38-1/15*E(45)^43, -1/15*E(45)-1/15*E(45)^11-1/15*E(45)^16-1/15*E(45)^19-1/15*E(45)^26-1/15*E(45)^29-1/15*E(45)^34-1/15*E(45)^44, -2/15*E(9)^2-2/15*E(9)^4-2/15*E(9)^5-2/15*E(9)^7, -1/15*E(45)-1/15*E(45)^11-1/15*E(45)^16-1/15*E(45)^19-1/15*E(45)^26-1/15*E(45)^29-1/15*E(45)^34-1/15*E(45)^44, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)^2+1/15*E(5)^3, 2/15, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)+1/15*E(5)^4, 1/15*E(5)^2+1/15*E(5)^3, 2/15, 1/15*E(5)^2+1/15*E(5)^3, 1/15*E(5)+1/15*E(5)^4, -1/15*E(5)-1/15*E(5)^4, -1/15*E(5)^2-1/15*E(5)^3, -2/15, -1/15*E(5)^2-1/15*E(5)^3, -1/15*E(5)-1/15*E(5)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/15*E(45)^11+1/15*E(45)^16+1/15*E(45)^29+1/15*E(45)^34, 1/15*E(45)+1/15*E(45)^19+1/15*E(45)^26+1/15*E(45)^44, -1/15*E(45)-1/15*E(45)^11-1/15*E(45)^16-1/15*E(45)^19-1/15*E(45)^26-1/15*E(45)^29-1/15*E(45)^34-1/15*E(45)^44, 2/15*E(9)^4+2/15*E(9)^5, 1/15*E(45)^11+1/15*E(45)^16+1/15*E(45)^29+1/15*E(45)^34, 1/15*E(45)^2+1/15*E(45)^7+1/15*E(45)^38+1/15*E(45)^43, 1/15*E(45)^2+1/15*E(45)^7+1/15*E(45)^38+1/15*E(45)^43, 2/15*E(9)^2+2/15*E(9)^7, 1/15*E(45)+1/15*E(45)^19+1/15*E(45)^26+1/15*E(45)^44, 1/15*E(45)^8+1/15*E(45)^17+1/15*E(45)^28+1/15*E(45)^37, 1/15*E(45)^8+1/15*E(45)^17+1/15*E(45)^28+1/15*E(45)^37, -2/15*E(9)^2-2/15*E(9)^4-2/15*E(9)^5-2/15*E(9)^7, -1/15*E(45)-1/15*E(45)^11-1/15*E(45)^16-1/15*E(45)^19-1/15*E(45)^26-1/15*E(45)^29-1/15*E(45)^34-1/15*E(45)^44, -1/15*E(45)^2-1/15*E(45)^7-1/15*E(45)^8-1/15*E(45)^17-1/15*E(45)^28-1/15*E(45)^37-1/15*E(45)^38-1/15*E(45)^43, -1/15*E(45)^2-1/15*E(45)^7-1/15*E(45)^8-1/15*E(45)^17-1/15*E(45)^28-1/15*E(45)^37-1/15*E(45)^38-1/15*E(45)^43 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -E(4), E(4), -E(4), E(4), -E(4), E(4), E(4), -E(4), E(4), -E(4), E(4), -E(4), E(4), -E(4), -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, E(5), E(5)^2, E(5)^3, E(5)^4, 1, 1, -1, -1, -E(36)^17-E(36)^29, E(36)^17, E(36)^29, E(36)^17+E(36)^29, -E(36)^17, -E(36)^29, E(4), -E(4), E(20)^17, E(20)^9, E(20), E(20)^13, -E(20)^17, -E(20)^9, -E(20), -E(20)^13, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(45)^28-E(45)^43, -E(45)-E(45)^16, -E(45)^19-E(45)^34, -E(45)^7-E(45)^37, E(45)^28, E(45), E(45)^19, E(45)^37, E(45)^43, E(45)^16, E(45)^34, E(45)^7, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, 1, E(5)^2, E(5)^4, E(5), E(5)^3, E(4), -E(4), E(20)^9, E(20)^13, E(20)^17, E(20), -E(20)^9, -E(20)^13, -E(20)^17, -E(20), -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(45)-E(45)^16, -E(45)^7-E(45)^37, -E(45)^28-E(45)^43, -E(45)^19-E(45)^34, E(45), E(45)^37, E(45)^28, E(45)^19, E(45)^16, E(45)^7, E(45)^43, E(45)^34 ];
return rec(S := S, T := T);;