local S, T;
S := [[ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/8, 1/8, 1/8, 1/8, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/8, 1/8, 1/8, 1/8, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/8, -1/8, -1/8, -1/8, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/8, -1/8, -1/8, -1/8, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/8, 1/8, 1/8, 1/8, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/8, -1/8, -1/8, -1/8, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/8, 1/8, 1/8, 1/8, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/8, 1/8, 1/8, 1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/24, -1/24, -1/24, -1/24, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12, 1/8, 1/8, 1/8, 1/8, -1/12, -1/12, -1/12, -1/12, -1/12, -1/12 ], [ 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/48, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, -1/8, -1/8, -1/8, -1/8, 1/24, 1/24, 1/24, 1/24, 1/12, 1/12, 1/24, 1/24, 1/24, 1/24, 1/12, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/6, -1/6, -1/6, 1/6, -1/6, 1/6, 1/6, -1/6, -1/12, -1/12, 1/12, 1/12, 1/12, 1/12, -1/12, -1/12, 1/12, 1/12, -1/12, -1/12, -1/12, -1/12, 1/12, 1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/3, -1/3, -1/6, -1/6, 1/6, 1/6 ], [ 1/12, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, 1/12, 1/12, -1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, 1/6, -1/12, -1/6, 1/12, -1/6, 1/12, 1/6, -1/12, -1/6, 1/12, 1/6, -1/12, 1/6, -1/12, -1/6, 1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, 1/12, 1/12, -1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, 1/6, -1/12, -1/6, 1/12, -1/6, 1/12, 1/6, -1/12, -1/6, 1/12, 1/6, -1/12, 1/6, -1/12, -1/6, 1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, 1/6, -1/6, 1/3, 1/6, -1/3 ], [ 1/12, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, 1/12, 1/12, -1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/12, 1/12, 1/12, -1/12, 1/12, -1/12, -1/12, 1/12, -1/12, 1/6, 1/12, -1/6, 1/12, -1/6, -1/12, 1/6, 1/12, -1/6, -1/12, 1/6, -1/12, 1/6, 1/12, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, 1/6, 1/3, -1/6, -1/3, 1/6 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^2, E(3), E(3)^2, E(3), E(3)^2, E(3), E(3)^2, E(3), E(3)^2, E(3), E(3)^2, E(3), E(3)^2, E(3), E(3)^2, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, E(3)^2, E(3), -E(3)^2, -E(3), -1, -1, 1, 1, -1, 1, -1, 1, -E(3)^2, -E(3), E(3)^2, E(3), 1, -1, E(3)^2, E(3), -E(3)^2, -E(3), 1, 1, 1, 1, -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), 1, -1, E(3)^2, E(3), -E(3)^2, -E(3), 1, -1, E(3)^2, E(3), -E(3)^2, -E(3), -1, 1, -E(3)^2, -E(3), E(3)^2, E(3), E(4), -E(4), -E(4), E(4), E(4), -E(4), E(12)^11, E(12)^7, -E(12)^11, -E(12)^7 ];
return rec(S := S, T := T);;