local S, T;
S := [[ 1/48, 1/48, 1/24, 1/24, 1/24, 1/16, 1/16, 1/12, 1/4, 1/4, 1/4, 1/4, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/48, 1/48, 1/24, 1/24, 1/24, 1/16, 1/16, 1/12, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/48, 1/48, 1/24, 1/24, 1/24, 1/16, 1/16, 1/12, -1/4, -1/4, -1/4, -1/4, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/48, 1/48, 1/24, 1/24, 1/24, 1/16, 1/16, 1/12, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8 ], [ 1/24, 1/24, 1/12, 1/12, 1/12, 1/8, 1/8, 1/6, 0, 0, 0, 0, -1/6, -1/6, -1/6, -1/6, -1/6, -1/6, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/24, 1/24, 1/12, 1/12, 1/12, 1/8, 1/8, 1/6, 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 ], [ 1/24, 1/24, 1/12, 1/12, 1/12, 1/8, 1/8, 1/6, 0, 0, 0, 0, -1/6, -1/6, -1/6, -1/6, -1/6, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, -1/24, -1/24, -1/12, -1/12, -1/12, -1/8, -1/8, -1/6, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3 ], [ 1/24, 1/24, 1/12, 1/12, 1/12, 1/8, 1/8, 1/6, 0, 0, 0, 0, -1/6, -1/6, -1/6, -1/6, -1/6, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, -1/24, -1/24, -1/12, -1/12, -1/12, -1/8, -1/8, -1/6, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/8*E(8)+1/8*E(8)^3, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3 ], [ 1/16, 1/16, 1/8, 1/8, 1/8, 3/16, 3/16, 1/4, 1/4, 1/4, 1/4, 1/4, 0, 0, 0, 0, 0, 0, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/16, 1/16, 1/8, 1/8, 1/8, 3/16, 3/16, 1/4, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 0, 0, 0, 0, 0, 0, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8 ], [ 1/16, 1/16, 1/8, 1/8, 1/8, 3/16, 3/16, 1/4, -1/4, -1/4, -1/4, -1/4, 0, 0, 0, 0, 0, 0, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/16, 1/16, 1/8, 1/8, 1/8, 3/16, 3/16, 1/4, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 0, 0, 0, 0, 0, 0, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8 ], [ 1/12, 1/12, 1/6, 1/6, 1/6, 1/4, 1/4, 1/3, 0, 0, 0, 0, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, -1/12, -1/12, -1/6, -1/6, -1/6, -1/4, -1/4, -1/3, 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 ], [ 1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4-1/4*E(4), -1/4+1/4*E(4), 1/4-1/4*E(4), 1/4+1/4*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4*E(4), -1/4*E(4), 0, 0, 0, 1/4*E(4), -1/4*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, -1/4+1/4*E(4), -1/4-1/4*E(4), 1/4+1/4*E(4), 1/4-1/4*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4*E(4), 1/4*E(4), 0, 0, 0, -1/4*E(4), 1/4*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4-1/4*E(4), 1/4+1/4*E(4), -1/4-1/4*E(4), -1/4+1/4*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4*E(4), 1/4*E(4), 0, 0, 0, -1/4*E(4), 1/4*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/4, -1/4, 0, 0, 0, 1/4, -1/4, 0, 1/4+1/4*E(4), 1/4-1/4*E(4), -1/4+1/4*E(4), -1/4-1/4*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/4*E(4), -1/4*E(4), 0, 0, 0, 1/4*E(4), -1/4*E(4), 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, 0, 0, 1/6, 0, 0, 0, 0, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, -1/6, 1/6, 1/6, 1/6, 0, 0, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, -1/6, 1/6, 1/6, 1/6, 0, 0, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, -1/6, 1/6, 1/6, 1/6, 0, 0, -1/6, 0, 0, 0, 0, 0, 0, 0, 0, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, 0, 0, 0, 0, 0, 0, 0, 0, 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0, 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0, 1/6, 1/6, -1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/8, 1/8, 1/4, 0, 0, -1/8, -1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, 1/8, 1/8, 1/4, 0, 0, -1/8, -1/8, 0, 1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, 0, 0, 0, 0, 0, 0, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5 ], [ 1/8, 1/8, 1/4, 0, 0, -1/8, -1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8, 1/8, 1/4, 0, 0, -1/8, -1/8, 0, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, 0, 0, 0, 0, 0, 0, 1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7 ], [ 1/8, 1/8, 1/4, 0, 0, -1/8, -1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8, 1/8, 1/4, 0, 0, -1/8, -1/8, 0, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, 0, 0, 0, 0, 0, 0, -1/8*E(16)+1/8*E(16)^7, 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-1/6*E(9)^2-1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, 1/6, 1/6, 0, 0, -1/6, 0, 0, 0, 0, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, -1/6, 1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, 1/6, 1/6, 0, 0, -1/6, 0, 0, 0, 0, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, -1/6, 1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, 1/6*E(9)^2+1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/6, 1/6, -1/6, 1/6, 1/6, 0, 0, -1/6, 0, 0, 0, 0, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0, -1/6, -1/6, 1/6, -1/6, -1/6, 0, 0, 1/6, 0, 0, 0, 0, 0, 0, 0, 0, 1/6*E(9)^4+1/6*E(9)^5, -1/6*E(9)^2-1/6*E(9)^4-1/6*E(9)^5-1/6*E(9)^7, 1/6*E(9)^2+1/6*E(9)^7, -1/6*E(9)^4-1/6*E(9)^5, 1/6*E(9)^2+1/6*E(9)^4+1/6*E(9)^5+1/6*E(9)^7, -1/6*E(9)^2-1/6*E(9)^7, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)+1/8*E(16)^7, -1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3+1/8*E(16)^5, -1/8*E(4), 1/8*E(4), 0, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(4), -1/8*E(4), 0, 1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)^9-1/8*E(32)^15, -1/8*E(32)^11+1/8*E(32)^13, 1/8*E(32)-1/8*E(32)^7, -1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^11-1/8*E(32)^13, 1/8*E(32)^9+1/8*E(32)^15, -1/8*E(32)^3-1/8*E(32)^5, 0, 0, 0, 0, 0, 0, 1/8*E(32)^9-1/8*E(32)^15, -1/8*E(32)^11-1/8*E(32)^13, -1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^3+1/8*E(32)^5, 1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^11+1/8*E(32)^13, -1/8*E(32)^9+1/8*E(32)^15 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)-1/8*E(16)^7, 1/8*E(4), -1/8*E(4), 0, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(4), 1/8*E(4), 0, 1/8*E(32)^9+1/8*E(32)^15, 1/8*E(32)^11-1/8*E(32)^13, -1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^11+1/8*E(32)^13, -1/8*E(32)^9-1/8*E(32)^15, 0, 0, 0, 0, 0, 0, -1/8*E(32)^11-1/8*E(32)^13, -1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)^9+1/8*E(32)^15, 1/8*E(32)^9-1/8*E(32)^15, 1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^11+1/8*E(32)^13 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)-1/8*E(16)^7, 1/8*E(16)+1/8*E(16)^7, -1/8*E(16)^3-1/8*E(16)^5, -1/8*E(4), 1/8*E(4), 0, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(4), -1/8*E(4), 0, -1/8*E(32)^11+1/8*E(32)^13, 1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)^9+1/8*E(32)^15, -1/8*E(32)^9-1/8*E(32)^15, 1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^11-1/8*E(32)^13, 0, 0, 0, 0, 0, 0, -1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)^9+1/8*E(32)^15, 1/8*E(32)^11+1/8*E(32)^13, -1/8*E(32)^11-1/8*E(32)^13, 1/8*E(32)^9-1/8*E(32)^15, 1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)+1/8*E(32)^7 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8*E(16)+1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)-1/8*E(16)^7, -1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)+1/8*E(16)^7, 1/8*E(4), -1/8*E(4), 0, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(4), 1/8*E(4), 0, -1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)^9-1/8*E(32)^15, -1/8*E(32)^11+1/8*E(32)^13, 1/8*E(32)^11-1/8*E(32)^13, 1/8*E(32)^9+1/8*E(32)^15, -1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)-1/8*E(32)^7, 0, 0, 0, 0, 0, 0, -1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)^9+1/8*E(32)^15, 1/8*E(32)^11+1/8*E(32)^13, 1/8*E(32)+1/8*E(32)^7, -1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^11-1/8*E(32)^13, 1/8*E(32)^9-1/8*E(32)^15, 1/8*E(32)^3-1/8*E(32)^5 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8*E(16)+1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)-1/8*E(16)^7, -1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)+1/8*E(16)^7, 1/8*E(4), -1/8*E(4), 0, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(4), 1/8*E(4), 0, 1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)^9+1/8*E(32)^15, 1/8*E(32)^11-1/8*E(32)^13, -1/8*E(32)^11+1/8*E(32)^13, -1/8*E(32)^9-1/8*E(32)^15, 1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)+1/8*E(32)^7, 0, 0, 0, 0, 0, 0, 1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)^9-1/8*E(32)^15, -1/8*E(32)^11-1/8*E(32)^13, -1/8*E(32)-1/8*E(32)^7, 1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^11+1/8*E(32)^13, -1/8*E(32)^9+1/8*E(32)^15, -1/8*E(32)^3+1/8*E(32)^5 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)-1/8*E(16)^7, 1/8*E(16)+1/8*E(16)^7, -1/8*E(16)^3-1/8*E(16)^5, -1/8*E(4), 1/8*E(4), 0, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(4), -1/8*E(4), 0, 1/8*E(32)^11-1/8*E(32)^13, -1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)^9-1/8*E(32)^15, 1/8*E(32)^9+1/8*E(32)^15, -1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^11+1/8*E(32)^13, 0, 0, 0, 0, 0, 0, 1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)^9-1/8*E(32)^15, -1/8*E(32)^11-1/8*E(32)^13, 1/8*E(32)^11+1/8*E(32)^13, -1/8*E(32)^9+1/8*E(32)^15, -1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)-1/8*E(32)^7 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3+1/8*E(16)^5, -1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)-1/8*E(16)^7, 1/8*E(4), -1/8*E(4), 0, -1/8*E(8)+1/8*E(8)^3, 1/8*E(8)-1/8*E(8)^3, -1/8*E(4), 1/8*E(4), 0, -1/8*E(32)^9-1/8*E(32)^15, -1/8*E(32)^11+1/8*E(32)^13, 1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^11-1/8*E(32)^13, 1/8*E(32)^9+1/8*E(32)^15, 0, 0, 0, 0, 0, 0, 1/8*E(32)^11+1/8*E(32)^13, 1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)^9-1/8*E(32)^15, -1/8*E(32)^9+1/8*E(32)^15, -1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^11-1/8*E(32)^13 ], [ 1/8, -1/8, 0, 1/8*E(8)+1/8*E(8)^3, -1/8*E(8)-1/8*E(8)^3, -1/8, 1/8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8*E(16)^3+1/8*E(16)^5, 1/8*E(16)-1/8*E(16)^7, -1/8*E(16)+1/8*E(16)^7, 1/8*E(16)^3-1/8*E(16)^5, -1/8*E(16)^3-1/8*E(16)^5, 1/8*E(16)+1/8*E(16)^7, -1/8*E(16)-1/8*E(16)^7, 1/8*E(16)^3+1/8*E(16)^5, -1/8*E(4), 1/8*E(4), 0, 1/8*E(8)-1/8*E(8)^3, -1/8*E(8)+1/8*E(8)^3, 1/8*E(4), -1/8*E(4), 0, -1/8*E(32)^3-1/8*E(32)^5, 1/8*E(32)^9+1/8*E(32)^15, 1/8*E(32)^11-1/8*E(32)^13, -1/8*E(32)+1/8*E(32)^7, 1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^11+1/8*E(32)^13, -1/8*E(32)^9-1/8*E(32)^15, 1/8*E(32)^3+1/8*E(32)^5, 0, 0, 0, 0, 0, 0, -1/8*E(32)^9+1/8*E(32)^15, 1/8*E(32)^11+1/8*E(32)^13, 1/8*E(32)+1/8*E(32)^7, 1/8*E(32)^3-1/8*E(32)^5, -1/8*E(32)^3+1/8*E(32)^5, -1/8*E(32)-1/8*E(32)^7, -1/8*E(32)^11-1/8*E(32)^13, 1/8*E(32)^9-1/8*E(32)^15 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, -E(4), -E(4), E(4), E(4), E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(9)^4, E(9)^7, -E(9)^4-E(9)^7, E(16)^5, -E(16)^5, -E(16)^5, E(16)^5, -E(16), E(16), E(16), -E(16), -E(4), -E(4), -E(4), E(4), E(4), -E(4), -E(4), E(4), E(64)^9, -E(64)^17, E(64)^25, E(64), -E(64), -E(64)^25, E(64)^17, -E(64)^9, E(36)^25, E(36), -E(36)-E(36)^25, -E(36)^25, -E(36), E(36)+E(36)^25, E(64), E(64)^9, E(64)^17, E(64)^25, -E(64)^25, -E(64)^17, -E(64)^9, -E(64) ];
return rec(S := S, T := T);;