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, 1/16, 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, 1/48, 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, 1/48, 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, 1/48, 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, 1/24, 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, 1/16, 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, 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1/24, -1/24, -1/24*E(4), -1/24*E(8)^3, -1/24*E(8), 1/24*E(8), 1/24*E(8)^3, -1/24*E(4), -1/24, 1/24, 1/24*E(4), 1/24*E(8), -1/24*E(8), 1/24*E(8)^3, -1/24*E(8)^3, 1/24, -1/24, 1/24*E(4), -1/24*E(4), 1/24*E(8), -1/24*E(8), 1/24*E(8)^3, -1/24*E(8)^3, -1/24*E(4), 1/24*E(4), 1/24, -1/24, -1/24*E(8), 1/24*E(8), -1/24*E(8)^3, 1/24*E(8)^3, 1/24*E(4), -1/24*E(4), -1/24, 1/24, 1/24*E(8)^3, -1/24*E(8)^3, 1/24*E(8), -1/24*E(8), 1/24, -1/24, -1/24*E(4), 1/24*E(4), 1/24*E(4), -1/12*E(4), 1/24*E(4), -1/24*E(4), 1/12*E(4), -1/24*E(4), -1/24, 1/12, -1/24, 1/24, -1/12, 1/24, 1/24*E(8)^3, -1/24*E(8)^3, -1/12*E(8)^3, 1/24*E(8)^3, 1/12*E(8)^3, -1/24*E(8)^3, -1/24*E(8), 1/24*E(8), 1/12*E(8), -1/24*E(8), -1/12*E(8), 1/24*E(8), 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, -1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^3, 1/24*E(16), -1/24*E(16), 1/24*E(16)^3, -1/24*E(16)^5, 1/24*E(16)^7, -1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^3, 1/24*E(16), -1/24*E(16), 1/24*E(16)^3, -1/24*E(16)^5, 1/24*E(16)^7, 1/24*E(16)^7, -1/24*E(16)^5, 1/24*E(16)^3, -1/24*E(16), 1/24*E(16), -1/24*E(16)^3, 1/24*E(16)^5, -1/24*E(16)^7, -1/24*E(16)^3, 1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^5, 1/24*E(16)^5, -1/24*E(16)^7, -1/24*E(16), 1/24*E(16)^3, -1/24*E(16)^3, 1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^5, 1/24*E(16)^5, -1/24*E(16)^7, -1/24*E(16), 1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16), -1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16)^7, 1/24*E(16), -1/24*E(16)^3, 1/24*E(16)^5, -1/24*E(16)^3, 1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^7, -1/24*E(16), 1/24*E(16)^3, -1/24*E(16)^5, -1/12*E(16)^5, 1/24*E(16)^5, 1/12*E(16)^3, -1/24*E(16)^3, -1/12*E(16), 1/24*E(16), -1/12*E(16)^7, 1/24*E(16)^7, 1/12*E(16)^7, -1/24*E(16)^7, 1/12*E(16), -1/24*E(16), -1/12*E(16)^3, 1/24*E(16)^3, 1/12*E(16)^5, -1/24*E(16)^5, 1/24*E(4), 1/24, -1/24, -1/24*E(4), 1/24*E(8), -1/24*E(8)^3, 1/24*E(8)^3, -1/24*E(8), -1/24*E(4), -1/24, 1/24, 1/24*E(4), -1/24*E(8), 1/24*E(8)^3, -1/24*E(8)^3, 1/24*E(8), 1/24, -1/24, 1/24*E(4), -1/24*E(4), -1/24*E(8)^3, 1/24*E(8)^3, 1/24*E(8), -1/24*E(8), -1/24*E(4), -1/24, 1/24, 1/24*E(4), -1/24*E(4), 1/12*E(4), -1/24, 1/12, 1/24, -1/12, 1/24*E(4), -1/12*E(4), 1/24*E(8)^3, 1/24*E(8), -1/24*E(8), -1/24*E(8)^3, 1/24*E(8)^3, -1/12*E(8)^3, 1/24*E(8), -1/12*E(8), -1/24*E(8), 1/12*E(8), -1/24*E(8)^3, 1/12*E(8)^3, 1/24*E(8), -1/12*E(8), 1/24*E(8), -1/24*E(8), 1/12*E(8), -1/24*E(8), 1/24*E(8)^3, -1/12*E(8)^3, 1/24*E(8)^3, -1/24*E(8)^3, 1/12*E(8)^3, -1/24*E(8)^3, 1/24*E(4), -1/24*E(4), -1/12*E(4), 1/24*E(4), 1/12*E(4), -1/24*E(4), -1/24, 1/24, 1/12, -1/24, -1/12, 1/24, 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, 1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^5, 1/24*E(16)^3, -1/24*E(16)^3, 1/24*E(16)^5, -1/24*E(16)^7, -1/24*E(16), 1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^5, 1/24*E(16)^3, -1/24*E(16)^3, 1/24*E(16)^5, -1/24*E(16)^7, -1/24*E(16), -1/24*E(16), -1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^5, 1/24*E(16)^7, 1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^5, 1/24*E(16)^3, -1/24*E(16), 1/24*E(16), -1/24*E(16)^3, 1/24*E(16)^5, -1/24*E(16)^7, -1/12*E(16)^7, 1/24*E(16)^7, 1/12*E(16)^5, -1/24*E(16)^5, -1/12*E(16)^3, 1/24*E(16)^3, 1/12*E(16), -1/24*E(16), -1/12*E(16), 1/24*E(16), 1/12*E(16)^3, -1/24*E(16)^3, -1/12*E(16)^5, 1/24*E(16)^5, 1/12*E(16)^7, -1/24*E(16)^7, 1/24*E(16)^3, -1/24*E(16), -1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16)^7, 1/24*E(16), -1/24*E(16)^3, -1/12*E(16)^3, 1/24*E(16)^3, 1/12*E(16), -1/24*E(16), 1/12*E(16)^7, -1/24*E(16)^7, -1/12*E(16)^5, 1/24*E(16)^5, 1/12*E(16)^5, -1/24*E(16)^5, -1/12*E(16)^7, 1/24*E(16)^7, -1/12*E(16), 1/24*E(16), 1/12*E(16)^3, -1/24*E(16)^3, -1/24*E(8), 1/24*E(8)^3, -1/24*E(8)^3, 1/24*E(8), -1/24*E(8), 1/12*E(8), 1/24*E(8)^3, -1/12*E(8)^3, -1/24*E(8)^3, 1/12*E(8)^3, 1/24*E(8), -1/12*E(8), 1/24*E(4), 1/24, -1/24, -1/24*E(4), 1/24*E(4), -1/12*E(4), 1/24, -1/12, -1/24, 1/12, -1/24*E(4), 1/12*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/24*E(16), -1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^5, 1/24*E(16)^7, 1/24*E(16), 1/12*E(16), -1/24*E(16), 1/12*E(16)^7, -1/24*E(16)^7, -1/12*E(16)^5, 1/24*E(16)^5, 1/12*E(16)^3, -1/24*E(16)^3, -1/12*E(16)^3, 1/24*E(16)^3, 1/12*E(16)^5, -1/24*E(16)^5, -1/12*E(16)^7, 1/24*E(16)^7, -1/12*E(16), 1/24*E(16) ]];
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, 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(4), -E(4), E(32)^3, E(32)^15, -E(32)^11, E(32)^7, -E(32)^7, E(32)^11, -E(32)^15, -E(32)^3, E(32)^3, E(32)^15, -E(32)^11, E(32)^7, -E(32)^7, E(32)^11, -E(32)^15, -E(32)^3, E(32)^3, E(32)^15, -E(32)^11, E(32)^7, -E(32)^7, E(32)^11, -E(32)^15, -E(32)^3, -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(8)^3, E(8)^3, -E(8)^3, -E(8)^3, E(8), E(8), -E(8), -E(8), 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), 1, E(3)^2, E(3), 1, E(3)^2, E(3), 1, 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(32)^7, E(32)^11, -E(32)^15, -E(32)^3, E(32)^3, E(32)^15, -E(32)^11, E(32)^7, -E(32)^7, E(32)^11, -E(32)^15, -E(32)^3, E(32)^3, E(32)^15, -E(32)^11, E(32)^7, -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(4), E(4), 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)^11, E(32)^15, -E(32)^3, -E(32)^7, E(32)^7, E(32)^3, -E(32)^15, -E(32)^11, 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, -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)^3, E(32)^15, -E(32)^11, E(32)^7, -E(32)^7, E(32)^11, -E(32)^15, -E(32)^3, E(96)^73, E(96)^41, E(96)^13, E(96)^77, -E(96), -E(96)^65, E(96)^85, E(96)^53, -E(96)^85, -E(96)^53, E(96), E(96)^65, -E(96)^13, -E(96)^77, -E(96)^73, -E(96)^41, -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, 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(24)^11, -E(24)^19, E(24)^11, E(24)^19, E(24)^11, E(24)^19, -E(24)^11, -E(24)^19, -E(8)^3, E(8)^3, E(8)^3, -E(8)^3, -E(24)^17, -E(24), E(24)^17, E(24), E(24)^17, E(24), -E(24)^17, -E(24), 1, E(3)^2, E(3), 1, E(3)^2, E(3), 1, E(3)^2, E(3), 1, 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(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)^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, 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, E(32)^7, -E(32)^11, E(32)^15, E(32)^3, -E(32)^3, -E(32)^15, E(32)^11, -E(32)^7, E(32)^7, -E(32)^11, E(32)^15, E(32)^3, -E(32)^3, -E(32)^15, E(32)^11, -E(32)^7, E(32)^7, -E(32)^11, E(32)^15, E(32)^3, -E(32)^3, -E(32)^15, E(32)^11, -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(96), E(96)^65, E(96)^13, E(96)^77, -E(96)^73, -E(96)^41, -E(96)^85, -E(96)^53, E(96)^85, E(96)^53, E(96)^73, E(96)^41, -E(96)^13, -E(96)^77, -E(96), -E(96)^65, 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(96)^13, E(96)^77, E(96), E(96)^65, E(96)^85, E(96)^53, E(96)^73, E(96)^41, -E(96)^73, -E(96)^41, -E(96)^85, -E(96)^53, -E(96), -E(96)^65, -E(96)^13, -E(96)^77, -E(8)^3, E(8)^3, E(8)^3, -E(8)^3, -E(24)^17, -E(24), E(24)^17, E(24), E(24)^17, E(24), -E(24)^17, -E(24), -E(8), E(8), E(8), -E(8), -E(24)^11, -E(24)^19, E(24)^11, E(24)^19, E(24)^11, E(24)^19, -E(24)^11, -E(24)^19, E(32)^3, E(32)^15, -E(32)^11, E(32)^7, -E(32)^7, E(32)^11, -E(32)^15, -E(32)^3, E(32)^3, E(32)^15, -E(32)^11, E(32)^7, -E(32)^7, E(32)^11, -E(32)^15, -E(32)^3, E(32)^7, -E(32)^11, E(32)^15, E(32)^3, -E(32)^3, -E(32)^15, E(32)^11, -E(32)^7, E(96)^85, E(96)^53, -E(96), -E(96)^65, E(96)^13, E(96)^77, E(96)^73, E(96)^41, -E(96)^73, -E(96)^41, -E(96)^13, -E(96)^77, E(96), E(96)^65, -E(96)^85, -E(96)^53 ];
return rec(S := S, T := T);;