local S, T; S := [[ 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/16, 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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 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, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/16, 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, 1/16, 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, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16 ], [ 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, -1/16, -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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 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, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, -1/16, -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, -1/16, -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, -1/16, -1/16, -1/16, -1/16, -1/16, -1/16 ], [ 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, -1/16, -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, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 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, 1/32, 1/32, 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-1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, 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, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/16, 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, 1/16, 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, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16 ], [ 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/32, -1/32, -1/32, -1/32, -1/32, -1/32, -1/32, -1/32, -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, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/32, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 1/16, 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-1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, -1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)-1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)+1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, -1/16*E(16)^3-1/16*E(16)^5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8*E(4), -1/8*E(4), 0, -1/16*E(8)+1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, 0, 1/8*E(4), -1/8*E(4), 0, -1/16*E(8)+1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, 1/16, -1/16, 1/16, -1/16, -1/16, 1/16, -1/16, 1/16, 0, 0, -1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, 1/16*E(16)+1/16*E(16)^7, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)+1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)+1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)^3+1/16*E(16)^5 ], [ 1/16, -1/16, -1/16, 1/16, -1/16, 1/16, 1/16, -1/16, 0, 0, -1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/16, 1/16, -1/16, -1/16, -1/16, -1/16, 1/16, 1/16, 0, 0, -1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, 1/8*E(4), 0, 0, -1/8*E(4), 1/16*E(8)-1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, 1/8*E(4), 0, 0, -1/8*E(4), 1/16*E(8)-1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, -1/16, 1/16, -1/16, 1/16, 1/16, -1/16, 1/16, -1/16, 0, 0, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)-1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)+1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8*E(4), 0, 0, 1/8*E(4), -1/16*E(8)+1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, -1/8*E(4), 0, 0, 1/8*E(4), -1/16*E(8)+1/16*E(8)^3, -1/16*E(8)+1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, 1/16*E(8)-1/16*E(8)^3, -1/16, 1/16, -1/16, 1/16, 1/16, -1/16, 1/16, -1/16, 0, 0, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, 1/16*E(8)+1/16*E(8)^3, -1/16*E(8)-1/16*E(8)^3, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, -1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5, -1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3+1/16*E(16)^5, 1/16*E(16)^3-1/16*E(16)^5, 1/16*E(16)+1/16*E(16)^7, 1/16*E(16)-1/16*E(16)^7, -1/16*E(16)+1/16*E(16)^7, -1/16*E(16)-1/16*E(16)^7, -1/16*E(16)^3+1/16*E(16)^5, -1/16*E(16)^3-1/16*E(16)^5 ]]; T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -E(8), E(8), E(8)^3, -E(8)^3, -E(8), E(8), E(8)^3, -E(8)^3, -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(8), -E(8), -E(8), E(8), E(8)^3, -E(8)^3, -E(8)^3, E(8)^3, E(8), -E(8), -E(8), E(8), E(8)^3, -E(8)^3, -E(8)^3, E(8)^3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -E(32)^7, -E(32)^3, E(32)^15, E(32)^11, -E(32)^11, -E(32)^15, E(32)^3, E(32)^7, -E(32)^7, -E(32)^3, E(32)^15, E(32)^11, -E(32)^11, -E(32)^15, E(32)^3, E(32)^7, -E(8)^3, E(8)^3, E(8), -E(8), E(8)^3, -E(8)^3, -E(8), E(8), 1, 1, -1, -1, 1, 1, -1, -1, -E(8)^3, E(8)^3, E(8)^3, -E(8)^3, -E(8), E(8), E(8), -E(8), E(8)^3, -E(8)^3, -E(8)^3, E(8)^3, E(8), -E(8), -E(8), E(8), -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(32)^7, E(32)^3, -E(32)^15, -E(32)^11, E(32)^11, E(32)^15, -E(32)^3, -E(32)^7, -E(32)^7, -E(32)^3, E(32)^15, E(32)^11, -E(32)^11, -E(32)^15, E(32)^3, E(32)^7, E(32)^11, E(32)^15, -E(32)^3, -E(32)^7, E(32)^7, E(32)^3, -E(32)^15, -E(32)^11, E(32)^11, E(32)^15, -E(32)^3, -E(32)^7, E(32)^7, E(32)^3, -E(32)^15, -E(32)^11, E(32)^3, E(32)^7, E(32)^11, E(32)^15, -E(32)^15, -E(32)^11, -E(32)^7, -E(32)^3, -E(32)^3, -E(32)^7, -E(32)^11, -E(32)^15, E(32)^15, E(32)^11, E(32)^7, E(32)^3 ]; return rec(S := S, T := T);;