local S, T;
S := [[ 1/50, 1/50, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/2, 1/2, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25 ], [ 1/50, 1/50, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, -1/2, -1/2, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25, 1/25 ], [ 1/25, 1/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 0, 0, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 2/25, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)^2+1/25*E(5)^3, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 1/25*E(5)+1/25*E(5)^4, 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1/25*E(125)^13+1/25*E(125)^112, 1/25*E(125)^33+1/25*E(125)^92, 1/25*E(125)^53+1/25*E(125)^72, 1/25*E(125)^52+1/25*E(125)^73, 1/25*E(125)^32+1/25*E(125)^93, -1/25*E(125)^13-1/25*E(125)^37-1/25*E(125)^38-1/25*E(125)^62-1/25*E(125)^63-1/25*E(125)^87-1/25*E(125)^88-1/25*E(125)^112, -1/25*E(125)^17-1/25*E(125)^33-1/25*E(125)^42-1/25*E(125)^58-1/25*E(125)^67-1/25*E(125)^83-1/25*E(125)^92-1/25*E(125)^108, 1/25*E(125)^28+1/25*E(125)^97, 1/25*E(125)^48+1/25*E(125)^77, 1/25*E(125)^57+1/25*E(125)^68, -1/25*E(125)^22-1/25*E(125)^28-1/25*E(125)^47-1/25*E(125)^53-1/25*E(125)^72-1/25*E(125)^78-1/25*E(125)^97-1/25*E(125)^103, 1/25*E(125)^23+1/25*E(125)^102, 1/25*E(125)^43+1/25*E(125)^82, 1/25*E(125)^62+1/25*E(125)^63, 1/25*E(125)^42+1/25*E(125)^83, 1/25*E(125)^17+1/25*E(125)^108, 1/25*E(125)^37+1/25*E(125)^88, 1/25*E(125)^57+1/25*E(125)^68, 1/25*E(125)^48+1/25*E(125)^77, 1/25*E(125)^28+1/25*E(125)^97, -1/25*E(125)^17-1/25*E(125)^33-1/25*E(125)^42-1/25*E(125)^58-1/25*E(125)^67-1/25*E(125)^83-1/25*E(125)^92-1/25*E(125)^108, -1/25*E(125)^13-1/25*E(125)^37-1/25*E(125)^38-1/25*E(125)^62-1/25*E(125)^63-1/25*E(125)^87-1/25*E(125)^88-1/25*E(125)^112, 1/25*E(125)^32+1/25*E(125)^93, 1/25*E(125)^52+1/25*E(125)^73, 1/25*E(125)^53+1/25*E(125)^72, 1/25*E(125)^33+1/25*E(125)^92, 1/25*E(125)^13+1/25*E(125)^112, -1/25*E(125)^18-1/25*E(125)^32-1/25*E(125)^43-1/25*E(125)^57-1/25*E(125)^68-1/25*E(125)^82-1/25*E(125)^93-1/25*E(125)^107, 1/25*E(125)^27+1/25*E(125)^98, 1/25*E(125)^47+1/25*E(125)^78, 1/25*E(125)^58+1/25*E(125)^67, 1/25*E(125)^38+1/25*E(125)^87, 1/25*E(125)^18+1/25*E(125)^107, -1/25*E(125)^23-1/25*E(125)^27-1/25*E(125)^48-1/25*E(125)^52-1/25*E(125)^73-1/25*E(125)^77-1/25*E(125)^98-1/25*E(125)^102, 1/25*E(125)^22+1/25*E(125)^103, 1/25*E(125)^21+1/25*E(125)^104, 1/25*E(125)^41+1/25*E(125)^84, 1/25*E(125)^61+1/25*E(125)^64, 1/25*E(125)^44+1/25*E(125)^81, 1/25*E(125)^24+1/25*E(125)^101, -1/25*E(125)^24-1/25*E(125)^26-1/25*E(125)^49-1/25*E(125)^51-1/25*E(125)^74-1/25*E(125)^76-1/25*E(125)^99-1/25*E(125)^101, 1/25*E(125)^19+1/25*E(125)^106, 1/25*E(125)^39+1/25*E(125)^86, 1/25*E(125)^59+1/25*E(125)^66, 1/25*E(125)^46+1/25*E(125)^79, 1/25*E(125)^26+1/25*E(125)^99, -1/25*E(125)^19-1/25*E(125)^31-1/25*E(125)^44-1/25*E(125)^56-1/25*E(125)^69-1/25*E(125)^81-1/25*E(125)^94-1/25*E(125)^106, 1/25*E(125)^14+1/25*E(125)^111, 1/25*E(125)^34+1/25*E(125)^91, 1/25*E(125)^54+1/25*E(125)^71, 1/25*E(125)^51+1/25*E(125)^74, 1/25*E(125)^31+1/25*E(125)^94, -1/25*E(125)^14-1/25*E(125)^36-1/25*E(125)^39-1/25*E(125)^61-1/25*E(125)^64-1/25*E(125)^86-1/25*E(125)^89-1/25*E(125)^111, -1/25*E(125)^16-1/25*E(125)^34-1/25*E(125)^41-1/25*E(125)^59-1/25*E(125)^66-1/25*E(125)^84-1/25*E(125)^91-1/25*E(125)^109, 1/25*E(125)^29+1/25*E(125)^96, 1/25*E(125)^49+1/25*E(125)^76, 1/25*E(125)^56+1/25*E(125)^69, 1/25*E(125)^36+1/25*E(125)^89, 1/25*E(125)^16+1/25*E(125)^109, -1/25*E(125)^21-1/25*E(125)^29-1/25*E(125)^46-1/25*E(125)^54-1/25*E(125)^71-1/25*E(125)^79-1/25*E(125)^96-1/25*E(125)^104, 1/25*E(125)^19+1/25*E(125)^106, 1/25*E(125)^39+1/25*E(125)^86, 1/25*E(125)^59+1/25*E(125)^66, 1/25*E(125)^46+1/25*E(125)^79, 1/25*E(125)^26+1/25*E(125)^99, -1/25*E(125)^24-1/25*E(125)^26-1/25*E(125)^49-1/25*E(125)^51-1/25*E(125)^74-1/25*E(125)^76-1/25*E(125)^99-1/25*E(125)^101, 1/25*E(125)^21+1/25*E(125)^104, 1/25*E(125)^41+1/25*E(125)^84, 1/25*E(125)^61+1/25*E(125)^64, 1/25*E(125)^44+1/25*E(125)^81, 1/25*E(125)^24+1/25*E(125)^101, -1/25*E(125)^21-1/25*E(125)^29-1/25*E(125)^46-1/25*E(125)^54-1/25*E(125)^71-1/25*E(125)^79-1/25*E(125)^96-1/25*E(125)^104, 1/25*E(125)^16+1/25*E(125)^109, 1/25*E(125)^36+1/25*E(125)^89, 1/25*E(125)^56+1/25*E(125)^69, 1/25*E(125)^49+1/25*E(125)^76, 1/25*E(125)^29+1/25*E(125)^96, -1/25*E(125)^16-1/25*E(125)^34-1/25*E(125)^41-1/25*E(125)^59-1/25*E(125)^66-1/25*E(125)^84-1/25*E(125)^91-1/25*E(125)^109, -1/25*E(125)^14-1/25*E(125)^36-1/25*E(125)^39-1/25*E(125)^61-1/25*E(125)^64-1/25*E(125)^86-1/25*E(125)^89-1/25*E(125)^111, 1/25*E(125)^31+1/25*E(125)^94, 1/25*E(125)^51+1/25*E(125)^74, 1/25*E(125)^54+1/25*E(125)^71, 1/25*E(125)^34+1/25*E(125)^91, 1/25*E(125)^14+1/25*E(125)^111, -1/25*E(125)^19-1/25*E(125)^31-1/25*E(125)^44-1/25*E(125)^56-1/25*E(125)^69-1/25*E(125)^81-1/25*E(125)^94-1/25*E(125)^106, -1/25*E(125)^13-1/25*E(125)^37-1/25*E(125)^38-1/25*E(125)^62-1/25*E(125)^63-1/25*E(125)^87-1/25*E(125)^88-1/25*E(125)^112, 1/25*E(125)^32+1/25*E(125)^93, 1/25*E(125)^52+1/25*E(125)^73, 1/25*E(125)^53+1/25*E(125)^72, 1/25*E(125)^33+1/25*E(125)^92, -1/25*E(125)^17-1/25*E(125)^33-1/25*E(125)^42-1/25*E(125)^58-1/25*E(125)^67-1/25*E(125)^83-1/25*E(125)^92-1/25*E(125)^108, 1/25*E(125)^28+1/25*E(125)^97, 1/25*E(125)^48+1/25*E(125)^77, 1/25*E(125)^57+1/25*E(125)^68, 1/25*E(125)^37+1/25*E(125)^88, 1/25*E(125)^17+1/25*E(125)^108, -1/25*E(125)^22-1/25*E(125)^28-1/25*E(125)^47-1/25*E(125)^53-1/25*E(125)^72-1/25*E(125)^78-1/25*E(125)^97-1/25*E(125)^103, 1/25*E(125)^23+1/25*E(125)^102, 1/25*E(125)^43+1/25*E(125)^82, 1/25*E(125)^62+1/25*E(125)^63, 1/25*E(125)^42+1/25*E(125)^83, 1/25*E(125)^22+1/25*E(125)^103, -1/25*E(125)^23-1/25*E(125)^27-1/25*E(125)^48-1/25*E(125)^52-1/25*E(125)^73-1/25*E(125)^77-1/25*E(125)^98-1/25*E(125)^102, 1/25*E(125)^18+1/25*E(125)^107, 1/25*E(125)^38+1/25*E(125)^87, 1/25*E(125)^58+1/25*E(125)^67, 1/25*E(125)^47+1/25*E(125)^78, 1/25*E(125)^27+1/25*E(125)^98, -1/25*E(125)^18-1/25*E(125)^32-1/25*E(125)^43-1/25*E(125)^57-1/25*E(125)^68-1/25*E(125)^82-1/25*E(125)^93-1/25*E(125)^107, 1/25*E(125)^13+1/25*E(125)^112 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -E(125)^34-E(125)^59-E(125)^84-E(125)^109, E(125)^39, E(125)^69, E(125)^99, -E(125)^29-E(125)^54-E(125)^79-E(125)^104, E(125)^104, E(125)^74, E(125)^44, E(125)^14, E(125)^109, E(125)^79, E(125)^49, E(125)^19, -E(125)^14-E(125)^39-E(125)^64-E(125)^89, E(125)^84, E(125)^54, E(125)^24, -E(125)^19-E(125)^44-E(125)^69-E(125)^94, E(125)^89, E(125)^59, E(125)^29, -E(125)^24-E(125)^49-E(125)^74-E(125)^99, E(125)^94, E(125)^64, E(125)^34, E(5)^2, E(5)^2, E(5)^2, E(5)^2, E(5)^2, 1, 1, 1, 1, 1, E(5)^3, E(5)^3, E(5)^3, E(5)^3, E(5)^3, E(5)^4, E(5)^4, E(5)^4, E(5)^4, E(5)^4, E(5), E(5), E(5), E(5), E(5), E(125)^81, E(125)^16, E(125)^76, -E(125)^36-E(125)^61-E(125)^86-E(125)^111, E(125)^71, E(125)^21, E(125)^86, E(125)^26, E(125)^91, E(125)^31, E(125)^96, E(125)^36, E(125)^101, E(125)^41, E(125)^106, E(125)^46, E(125)^111, E(125)^51, -E(125)^16-E(125)^41-E(125)^66-E(125)^91, E(125)^56, -E(125)^21-E(125)^46-E(125)^71-E(125)^96, E(125)^61, -E(125)^26-E(125)^51-E(125)^76-E(125)^101, E(125)^66, -E(125)^31-E(125)^56-E(125)^81-E(125)^106, E(125)^54, E(125)^109, E(125)^39, E(125)^94, E(125)^24, -E(125)^24-E(125)^49-E(125)^74-E(125)^99, E(125)^69, E(125)^14, E(125)^84, E(125)^29, E(125)^99, E(125)^44, -E(125)^14-E(125)^39-E(125)^64-E(125)^89, E(125)^59, -E(125)^29-E(125)^54-E(125)^79-E(125)^104, E(125)^74, E(125)^19, E(125)^89, E(125)^34, E(125)^104, E(125)^49, -E(125)^19-E(125)^44-E(125)^69-E(125)^94, E(125)^64, -E(125)^34-E(125)^59-E(125)^84-E(125)^109, E(125)^79, E(5)^4, E(5)^4, E(5)^4, E(5)^4, E(5)^4, 1, 1, 1, 1, 1, E(5), E(5), E(5), E(5), E(5), E(5)^3, E(5)^3, E(5)^3, E(5)^3, E(5)^3, E(5)^2, E(5)^2, E(5)^2, E(5)^2, E(5)^2, E(125)^56, E(125)^21, E(125)^111, E(125)^76, E(125)^41, E(125)^91, -E(125)^26-E(125)^51-E(125)^76-E(125)^101, E(125)^36, E(125)^71, E(125)^106, E(125)^16, E(125)^51, E(125)^86, -E(125)^21-E(125)^46-E(125)^71-E(125)^96, E(125)^31, E(125)^66, E(125)^101, -E(125)^36-E(125)^61-E(125)^86-E(125)^111, E(125)^46, E(125)^81, -E(125)^16-E(125)^41-E(125)^66-E(125)^91, E(125)^26, E(125)^61, E(125)^96, -E(125)^31-E(125)^56-E(125)^81-E(125)^106, E(125)^96, E(125)^56, E(125)^16, E(125)^101, E(125)^61, -E(125)^36-E(125)^61-E(125)^86-E(125)^111, E(125)^51, E(125)^91, -E(125)^31-E(125)^56-E(125)^81-E(125)^106, E(125)^46, E(125)^86, -E(125)^26-E(125)^51-E(125)^76-E(125)^101, E(125)^41, E(125)^81, -E(125)^21-E(125)^46-E(125)^71-E(125)^96, E(125)^36, E(125)^76, -E(125)^16-E(125)^41-E(125)^66-E(125)^91, E(125)^31, E(125)^71, E(125)^111, E(125)^26, E(125)^66, E(125)^106, E(125)^21, E(125)^99, E(125)^54, -E(125)^34-E(125)^59-E(125)^84-E(125)^109, E(125)^89, E(125)^44, E(125)^19, E(125)^64, E(125)^109, E(125)^29, E(125)^74, -E(125)^19-E(125)^44-E(125)^69-E(125)^94, E(125)^39, E(125)^84, -E(125)^29-E(125)^54-E(125)^79-E(125)^104, E(125)^49, E(125)^94, E(125)^14, E(125)^59, E(125)^104, E(125)^24, E(125)^69, -E(125)^14-E(125)^39-E(125)^64-E(125)^89, E(125)^34, E(125)^79, -E(125)^24-E(125)^49-E(125)^74-E(125)^99, E(125)^34, E(125)^29, E(125)^24, E(125)^19, E(125)^14, E(125)^39, E(125)^44, E(125)^49, E(125)^54, E(125)^59, E(125)^64, E(125)^69, E(125)^74, E(125)^79, E(125)^84, E(125)^89, E(125)^94, E(125)^99, E(125)^104, E(125)^109, -E(125)^14-E(125)^39-E(125)^64-E(125)^89, -E(125)^19-E(125)^44-E(125)^69-E(125)^94, -E(125)^24-E(125)^49-E(125)^74-E(125)^99, -E(125)^29-E(125)^54-E(125)^79-E(125)^104, -E(125)^34-E(125)^59-E(125)^84-E(125)^109, E(125)^66, E(125)^56, E(125)^46, E(125)^36, E(125)^26, E(125)^76, E(125)^86, E(125)^96, E(125)^106, -E(125)^16-E(125)^41-E(125)^66-E(125)^91, -E(125)^26-E(125)^51-E(125)^76-E(125)^101, -E(125)^36-E(125)^61-E(125)^86-E(125)^111, E(125)^21, E(125)^31, E(125)^41, E(125)^51, E(125)^61, E(125)^71, E(125)^81, E(125)^91, E(125)^101, E(125)^111, -E(125)^21-E(125)^46-E(125)^71-E(125)^96, -E(125)^31-E(125)^56-E(125)^81-E(125)^106, E(125)^16, E(125)^111, E(125)^96, E(125)^81, E(125)^66, E(125)^51, -E(125)^26-E(125)^51-E(125)^76-E(125)^101, E(125)^16, E(125)^31, E(125)^46, E(125)^61, E(125)^76, E(125)^91, E(125)^106, -E(125)^21-E(125)^46-E(125)^71-E(125)^96, -E(125)^36-E(125)^61-E(125)^86-E(125)^111, E(125)^26, E(125)^41, E(125)^56, E(125)^71, E(125)^86, E(125)^101, -E(125)^16-E(125)^41-E(125)^66-E(125)^91, -E(125)^31-E(125)^56-E(125)^81-E(125)^106, E(125)^21, E(125)^36, E(125)^44, E(125)^24, -E(125)^29-E(125)^54-E(125)^79-E(125)^104, E(125)^109, E(125)^89, E(125)^64, E(125)^84, E(125)^104, -E(125)^24-E(125)^49-E(125)^74-E(125)^99, E(125)^19, E(125)^39, E(125)^59, E(125)^79, E(125)^99, -E(125)^19-E(125)^44-E(125)^69-E(125)^94, E(125)^14, E(125)^34, E(125)^54, E(125)^74, E(125)^94, -E(125)^14-E(125)^39-E(125)^64-E(125)^89, -E(125)^34-E(125)^59-E(125)^84-E(125)^109, E(125)^29, E(125)^49, E(125)^69 ];
return rec(S := S, T := T);;