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*E(8)-1/4*E(8)^3, -1/4*E(8)+1/4*E(8)^3, 1/4*E(8)-1/4*E(8)^3, -1/4*E(8)+1/4*E(8)^3, 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, 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*E(8)+1/4*E(8)^3, 1/4*E(8)-1/4*E(8)^3, -1/4*E(8)+1/4*E(8)^3, 1/4*E(8)-1/4*E(8)^3, 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, 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*E(8)-1/4*E(8)^3, -1/4*E(8)+1/4*E(8)^3, -1/4*E(8)+1/4*E(8)^3, 1/4*E(8)-1/4*E(8)^3, 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, 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*E(8)+1/4*E(8)^3, 1/4*E(8)-1/4*E(8)^3, 1/4*E(8)-1/4*E(8)^3, -1/4*E(8)+1/4*E(8)^3, 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, 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, 1/3, -1/6, -1/6, 1/3, -1/6, -1/6, 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, -1/3, 1/6, 1/6, -1/3, 1/6, 1/6, 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, -1/6, 1/3, -1/6, -1/6, 1/3, 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, -1/3, 1/6, 1/6, -1/3, 1/6, 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, 1/3, -1/6, -1/6, 1/3, -1/6, 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, 1/6, -1/3, 1/6, 1/6, -1/3, 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, 1/3, -1/6, -1/6, 1/3, -1/6, -1/6, 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, 1/3, -1/6, -1/6, 1/3, -1/6, -1/6, 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, -1/6, 1/3, -1/6, -1/6, 1/3, 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, 1/3, -1/6, -1/6, 1/3, -1/6, 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, 1/3, -1/6, -1/6, 1/3, -1/6, 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, -1/6, 1/3, -1/6, -1/6, 1/3, 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)-1/8*E(16)^7, 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)^3-1/8*E(16)^5, -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)+1/8*E(16)^7, -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)^3-1/8*E(16)^5, -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)-1/8*E(16)^7, -1/8*E(16)+1/8*E(16)^7, -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)^3+1/8*E(16)^5, 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)-1/8*E(16)^7, 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)^3+1/8*E(16)^5, 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)^3-1/8*E(16)^5, 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)+1/8*E(16)^7, 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)^3+1/8*E(16)^5, -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)+1/8*E(16)^7, 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)^3+1/8*E(16)^5, -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)-1/8*E(16)^7, -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)^3-1/8*E(16)^5, 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)-1/8*E(16)^7, -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)-1/8*E(16)^7, -1/8*E(16)+1/8*E(16)^7, -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)^3-1/8*E(16)^5, -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)+1/8*E(16)^7, -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)^3+1/8*E(16)^5, 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, 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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)+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, 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, -1/8*E(32)^7+1/8*E(32)^9, 1/8*E(32)-1/8*E(32)^15, -1/8*E(32)+1/8*E(32)^15, 1/8*E(32)^7-1/8*E(32)^9, -1/8*E(32)^5+1/8*E(32)^11, -1/8*E(32)^3+1/8*E(32)^13, 1/8*E(32)^3-1/8*E(32)^13, 1/8*E(32)^5-1/8*E(32)^11, 0, 0, 0, 0, 0, 0, -1/8*E(32)+1/8*E(32)^15, -1/8*E(32)^7+1/8*E(32)^9, 1/8*E(32)^7-1/8*E(32)^9, 1/8*E(32)-1/8*E(32)^15, 1/8*E(32)^5-1/8*E(32)^11, 1/8*E(32)^3-1/8*E(32)^13, -1/8*E(32)^3+1/8*E(32)^13, -1/8*E(32)^5+1/8*E(32)^11 ], [ 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)^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, -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, 1/8*E(32)^3-1/8*E(32)^13, -1/8*E(32)^5+1/8*E(32)^11, 1/8*E(32)^5-1/8*E(32)^11, -1/8*E(32)^3+1/8*E(32)^13, -1/8*E(32)^7+1/8*E(32)^9, 1/8*E(32)-1/8*E(32)^15, -1/8*E(32)+1/8*E(32)^15, 1/8*E(32)^7-1/8*E(32)^9, 0, 0, 0, 0, 0, 0, -1/8*E(32)^5+1/8*E(32)^11, -1/8*E(32)^3+1/8*E(32)^13, 1/8*E(32)^3-1/8*E(32)^13, 1/8*E(32)^5-1/8*E(32)^11, -1/8*E(32)^7+1/8*E(32)^9, 1/8*E(32)-1/8*E(32)^15, -1/8*E(32)+1/8*E(32)^15, 1/8*E(32)^7-1/8*E(32)^9 ], [ 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)^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, -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, -1/8*E(32)^5+1/8*E(32)^11, -1/8*E(32)^3+1/8*E(32)^13, 1/8*E(32)^3-1/8*E(32)^13, 1/8*E(32)^5-1/8*E(32)^11, 1/8*E(32)-1/8*E(32)^15, 1/8*E(32)^7-1/8*E(32)^9, -1/8*E(32)^7+1/8*E(32)^9, -1/8*E(32)+1/8*E(32)^15, 0, 0, 0, 0, 0, 0, -1/8*E(32)^3+1/8*E(32)^13, 1/8*E(32)^5-1/8*E(32)^11, -1/8*E(32)^5+1/8*E(32)^11, 1/8*E(32)^3-1/8*E(32)^13, 1/8*E(32)-1/8*E(32)^15, 1/8*E(32)^7-1/8*E(32)^9, -1/8*E(32)^7+1/8*E(32)^9, -1/8*E(32)+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)^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(16)-1/8*E(16)^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, 1/8*E(32)^5-1/8*E(32)^11, 1/8*E(32)^3-1/8*E(32)^13, -1/8*E(32)^3+1/8*E(32)^13, -1/8*E(32)^5+1/8*E(32)^11, -1/8*E(32)+1/8*E(32)^15, -1/8*E(32)^7+1/8*E(32)^9, 1/8*E(32)^7-1/8*E(32)^9, 1/8*E(32)-1/8*E(32)^15, 0, 0, 0, 0, 0, 0, 1/8*E(32)^3-1/8*E(32)^13, -1/8*E(32)^5+1/8*E(32)^11, 1/8*E(32)^5-1/8*E(32)^11, -1/8*E(32)^3+1/8*E(32)^13, -1/8*E(32)+1/8*E(32)^15, -1/8*E(32)^7+1/8*E(32)^9, 1/8*E(32)^7-1/8*E(32)^9, 1/8*E(32)-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)^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(16)+1/8*E(16)^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, -1/8*E(32)^3+1/8*E(32)^13, 1/8*E(32)^5-1/8*E(32)^11, -1/8*E(32)^5+1/8*E(32)^11, 1/8*E(32)^3-1/8*E(32)^13, 1/8*E(32)^7-1/8*E(32)^9, -1/8*E(32)+1/8*E(32)^15, 1/8*E(32)-1/8*E(32)^15, -1/8*E(32)^7+1/8*E(32)^9, 0, 0, 0, 0, 0, 0, 1/8*E(32)^5-1/8*E(32)^11, 1/8*E(32)^3-1/8*E(32)^13, -1/8*E(32)^3+1/8*E(32)^13, -1/8*E(32)^5+1/8*E(32)^11, 1/8*E(32)^7-1/8*E(32)^9, -1/8*E(32)+1/8*E(32)^15, 1/8*E(32)-1/8*E(32)^15, -1/8*E(32)^7+1/8*E(32)^9 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, E(16)^7, -E(16)^7, -E(16)^3, E(16)^3, 1, E(3), E(3)^2, 1, E(3), E(3)^2, -E(16)^7, -E(16)^7, E(16)^7, E(16)^7, E(16)^3, E(16)^3, -E(16)^3, -E(16)^3, E(4), E(4), E(4), -E(4), -E(4), E(4), E(4), -E(4), -E(64)^31, E(64)^15, -E(64)^15, E(64)^31, E(64)^7, E(64)^23, -E(64)^23, -E(64)^7, -E(4), -E(12)^11, -E(12)^7, E(4), E(12)^11, E(12)^7, E(64)^31, -E(64)^15, E(64)^15, -E(64)^31, -E(64)^23, E(64)^7, -E(64)^7, E(64)^23 ];
return rec(S := S, T := T);;