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*E(144)^31-1/24*E(144)^95-1/24*E(144)^127-1/24*E(144)^143, 1/24*E(144)^31+1/24*E(144)^95+1/24*E(144)^127+1/24*E(144)^143, 1/24*E(144)^31+1/24*E(144)^95, -1/24*E(144)^31-1/24*E(144)^95, -1/24*E(144)^91-1/24*E(144)^107, 1/24*E(144)^91+1/24*E(144)^107, 1/24*E(144)^59+1/24*E(144)^91+1/24*E(144)^107+1/24*E(144)^139, -1/24*E(144)^59-1/24*E(144)^91-1/24*E(144)^107-1/24*E(144)^139, -1/24*E(144)^59-1/24*E(144)^139, 1/24*E(144)^59+1/24*E(144)^139, -1/24*E(36)-1/24*E(36)^17, -1/24*E(36)^25-1/24*E(36)^29, 1/24*E(36)+1/24*E(36)^17+1/24*E(36)^25+1/24*E(36)^29, 1/24*E(36)+1/24*E(36)^17, 1/24*E(36)^25+1/24*E(36)^29, -1/24*E(36)-1/24*E(36)^17-1/24*E(36)^25-1/24*E(36)^29, -1/24*E(9)^2-1/24*E(9)^7, -1/24*E(9)^4-1/24*E(9)^5, 1/24*E(9)^2+1/24*E(9)^4+1/24*E(9)^5+1/24*E(9)^7, 1/24*E(9)^2+1/24*E(9)^7, 1/24*E(9)^4+1/24*E(9)^5, -1/24*E(9)^2-1/24*E(9)^4-1/24*E(9)^5-1/24*E(9)^7, 1/24*E(72)^25+1/24*E(72)^65, 1/24*E(72)^41+1/24*E(72)^49, -1/24*E(72)^25-1/24*E(72)^41-1/24*E(72)^49-1/24*E(72)^65, -1/24*E(72)^25-1/24*E(72)^65, -1/24*E(72)^41-1/24*E(72)^49, 1/24*E(72)^25+1/24*E(72)^41+1/24*E(72)^49+1/24*E(72)^65, -1/24*E(72)^11-1/24*E(72)^43, -1/24*E(72)^59-1/24*E(72)^67, 1/24*E(72)^11+1/24*E(72)^43+1/24*E(72)^59+1/24*E(72)^67, 1/24*E(72)^11+1/24*E(72)^43, 1/24*E(72)^59+1/24*E(72)^67, -1/24*E(72)^11-1/24*E(72)^43-1/24*E(72)^59-1/24*E(72)^67, 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(32)^7, -1/24*E(32)^7, 1/24*E(32)^7, 1/24*E(32)^7, 1/24*E(32)^15, 1/24*E(32)^15, -1/24*E(32)^15, -1/24*E(32)^15, 1/24*E(32)^3, 1/24*E(32)^3, -1/24*E(32)^3, -1/24*E(32)^3, -1/24*E(32)^11, -1/24*E(32)^11, 1/24*E(32)^11, 1/24*E(32)^11, 1/24*E(32)^7, -1/24*E(32)^7, -1/24*E(32)^15, 1/24*E(32)^15, -1/24*E(32)^3, 1/24*E(32)^3, 1/24*E(32)^11, -1/24*E(32)^11, -1/24*E(288)^35-1/24*E(288)^163-1/24*E(288)^227-1/24*E(288)^259, 1/24*E(288)^35+1/24*E(288)^163+1/24*E(288)^227+1/24*E(288)^259, 1/24*E(288)^227+1/24*E(288)^259, -1/24*E(288)^227-1/24*E(288)^259, 1/24*E(288)^35+1/24*E(288)^163, -1/24*E(288)^35-1/24*E(288)^163, 1/24*E(288)^91+1/24*E(288)^155+1/24*E(288)^187+1/24*E(288)^251, -1/24*E(288)^91-1/24*E(288)^155-1/24*E(288)^187-1/24*E(288)^251, -1/24*E(288)^155-1/24*E(288)^187, 1/24*E(288)^155+1/24*E(288)^187, -1/24*E(288)^91-1/24*E(288)^251, 1/24*E(288)^91+1/24*E(288)^251, 1/24*E(288)^7+1/24*E(288)^71+1/24*E(288)^199+1/24*E(288)^263, -1/24*E(288)^7-1/24*E(288)^71-1/24*E(288)^199-1/24*E(288)^263, -1/24*E(288)^7-1/24*E(288)^263, 1/24*E(288)^7+1/24*E(288)^263, -1/24*E(288)^71-1/24*E(288)^199, 1/24*E(288)^71+1/24*E(288)^199, -1/24*E(288)^127-1/24*E(288)^191-1/24*E(288)^223-1/24*E(288)^287, 1/24*E(288)^127+1/24*E(288)^191+1/24*E(288)^223+1/24*E(288)^287, 1/24*E(288)^191+1/24*E(288)^223, -1/24*E(288)^191-1/24*E(288)^223, 1/24*E(288)^127+1/24*E(288)^287, -1/24*E(288)^127-1/24*E(288)^287, 1/24*E(288)^17+1/24*E(288)^145+1/24*E(288)^209+1/24*E(288)^241, -1/24*E(288)^17-1/24*E(288)^145-1/24*E(288)^209-1/24*E(288)^241, -1/24*E(288)^209-1/24*E(288)^241, 1/24*E(288)^209+1/24*E(288)^241, -1/24*E(288)^17-1/24*E(288)^145, 1/24*E(288)^17+1/24*E(288)^145, -1/24*E(288)^73-1/24*E(288)^137-1/24*E(288)^169-1/24*E(288)^233, 1/24*E(288)^73+1/24*E(288)^137+1/24*E(288)^169+1/24*E(288)^233, 1/24*E(288)^137+1/24*E(288)^169, -1/24*E(288)^137-1/24*E(288)^169, 1/24*E(288)^73+1/24*E(288)^233, -1/24*E(288)^73-1/24*E(288)^233, -1/24*E(288)^53-1/24*E(288)^181-1/24*E(288)^245-1/24*E(288)^277, 1/24*E(288)^53+1/24*E(288)^181+1/24*E(288)^245+1/24*E(288)^277, 1/24*E(288)^245+1/24*E(288)^277, -1/24*E(288)^245-1/24*E(288)^277, 1/24*E(288)^53+1/24*E(288)^181, -1/24*E(288)^53-1/24*E(288)^181, 1/24*E(288)^109+1/24*E(288)^173+1/24*E(288)^205+1/24*E(288)^269, -1/24*E(288)^109-1/24*E(288)^173-1/24*E(288)^205-1/24*E(288)^269, -1/24*E(288)^173-1/24*E(288)^205, 1/24*E(288)^173+1/24*E(288)^205, -1/24*E(288)^109-1/24*E(288)^269, 1/24*E(288)^109+1/24*E(288)^269, -1/24*E(144)^127-1/24*E(144)^143, 1/24*E(144)^127+1/24*E(144)^143, 1/24*E(144)^31+1/24*E(144)^95+1/24*E(144)^127+1/24*E(144)^143, -1/24*E(144)^31-1/24*E(144)^95-1/24*E(144)^127-1/24*E(144)^143, -1/24*E(144)^31-1/24*E(144)^95, 1/24*E(144)^31+1/24*E(144)^95, 1/24*E(144)^91+1/24*E(144)^107, -1/24*E(144)^91-1/24*E(144)^107, -1/24*E(144)^59-1/24*E(144)^91-1/24*E(144)^107-1/24*E(144)^139, 1/24*E(144)^59+1/24*E(144)^91+1/24*E(144)^107+1/24*E(144)^139, 1/24*E(144)^59+1/24*E(144)^139, -1/24*E(144)^59-1/24*E(144)^139, 1/24*E(144)^109+1/24*E(144)^125, -1/24*E(144)^109-1/24*E(144)^125, -1/24*E(144)^13-1/24*E(144)^77-1/24*E(144)^109-1/24*E(144)^125, 1/24*E(144)^13+1/24*E(144)^77+1/24*E(144)^109+1/24*E(144)^125, 1/24*E(144)^13+1/24*E(144)^77, -1/24*E(144)^13-1/24*E(144)^77, -1/24*E(144)^73-1/24*E(144)^89, 1/24*E(144)^73+1/24*E(144)^89, 1/24*E(144)^41+1/24*E(144)^73+1/24*E(144)^89+1/24*E(144)^121, -1/24*E(144)^41-1/24*E(144)^73-1/24*E(144)^89-1/24*E(144)^121, -1/24*E(144)^41-1/24*E(144)^121, 1/24*E(144)^41+1/24*E(144)^121, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/24*E(288)^127-1/24*E(288)^191-1/24*E(288)^223-1/24*E(288)^287, 1/24*E(288)^127+1/24*E(288)^191+1/24*E(288)^223+1/24*E(288)^287, 1/24*E(288)^191+1/24*E(288)^223, -1/24*E(288)^191-1/24*E(288)^223, 1/24*E(288)^127+1/24*E(288)^287, -1/24*E(288)^127-1/24*E(288)^287, -1/24*E(288)^7-1/24*E(288)^71-1/24*E(288)^199-1/24*E(288)^263, 1/24*E(288)^7+1/24*E(288)^71+1/24*E(288)^199+1/24*E(288)^263, 1/24*E(288)^7+1/24*E(288)^263, -1/24*E(288)^7-1/24*E(288)^263, 1/24*E(288)^71+1/24*E(288)^199, -1/24*E(288)^71-1/24*E(288)^199, 1/24*E(288)^35+1/24*E(288)^163+1/24*E(288)^227+1/24*E(288)^259, -1/24*E(288)^35-1/24*E(288)^163-1/24*E(288)^227-1/24*E(288)^259, -1/24*E(288)^227-1/24*E(288)^259, 1/24*E(288)^227+1/24*E(288)^259, -1/24*E(288)^35-1/24*E(288)^163, 1/24*E(288)^35+1/24*E(288)^163, -1/24*E(288)^91-1/24*E(288)^155-1/24*E(288)^187-1/24*E(288)^251, 1/24*E(288)^91+1/24*E(288)^155+1/24*E(288)^187+1/24*E(288)^251, 1/24*E(288)^155+1/24*E(288)^187, -1/24*E(288)^155-1/24*E(288)^187, 1/24*E(288)^91+1/24*E(288)^251, -1/24*E(288)^91-1/24*E(288)^251 ]];
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(256)^37, -E(256)^37, E(256)^101, -E(256)^101, -E(256)^69, E(256)^69, E(256)^5, -E(256)^5, -E(256)^117, E(256)^117, E(256)^53, -E(256)^53, -E(256)^21, E(256)^21, -E(256)^85, E(256)^85, E(64)^5, E(64)^5, -E(64)^5, -E(64)^5, -E(64)^21, -E(64)^21, E(64)^21, E(64)^21, -E(64)^13, -E(64)^13, E(64)^13, E(64)^13, E(64)^29, E(64)^29, -E(64)^29, -E(64)^29, E(64)^5, -E(64)^5, -E(64)^21, E(64)^21, -E(64)^13, E(64)^13, E(64)^29, -E(64)^29, E(16)^5, E(16)^5, E(16)^5, E(16)^5, -E(16)^5, -E(16)^5, -E(16)^5, -E(16)^5, -E(16), -E(16), -E(16), -E(16), E(16), E(16), E(16), E(16), 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(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(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, -E(9)^2-E(9)^5, E(9)^2, E(9)^5, E(256)^61, -E(256)^61, -E(256)^125, E(256)^125, E(256)^29, -E(256)^29, -E(256)^93, E(256)^93, -E(256)^45, E(256)^45, E(256)^109, -E(256)^109, -E(256)^13, E(256)^13, E(256)^77, -E(256)^77, -E(256)^61, E(256)^61, -E(256)^125, E(256)^125, -E(256)^93, E(256)^93, E(256)^29, -E(256)^29, -E(256)^77, E(256)^77, E(256)^13, -E(256)^13, -E(256)^109, E(256)^109, E(256)^45, -E(256)^45, -E(256)^37, E(256)^37, -E(256)^101, E(256)^101, E(256)^69, -E(256)^69, -E(256)^5, E(256)^5, -E(256)^117, E(256)^117, E(256)^53, -E(256)^53, -E(256)^21, E(256)^21, -E(256)^85, E(256)^85, E(64)^21, E(64)^21, -E(64)^21, -E(64)^21, -E(64)^5, -E(64)^5, E(64)^5, E(64)^5, E(64)^29, E(64)^29, -E(64)^29, -E(64)^29, -E(64)^13, -E(64)^13, E(64)^13, E(64)^13, E(64)^21, -E(64)^21, -E(64)^5, E(64)^5, E(64)^29, -E(64)^29, -E(64)^13, E(64)^13, -E(64)^5, -E(64)^5, E(64)^5, E(64)^5, E(64)^21, E(64)^21, -E(64)^21, -E(64)^21, E(64)^29, E(64)^29, -E(64)^29, -E(64)^29, E(64)^13, E(64)^13, -E(64)^13, -E(64)^13, -E(64)^5, E(64)^5, E(64)^21, -E(64)^21, E(64)^29, -E(64)^29, E(64)^13, -E(64)^13, -E(576)^245, E(576)^245, -E(576)^437, E(576)^437, E(576)^245+E(576)^437, -E(576)^245-E(576)^437, -E(576)^389, E(576)^389, -E(576)^5, E(576)^5, E(576)^5+E(576)^389, -E(576)^5-E(576)^389, E(576)^173, -E(576)^173, E(576)^365, -E(576)^365, -E(576)^173-E(576)^365, E(576)^173+E(576)^365, E(576)^317, -E(576)^317, E(576)^509, -E(576)^509, -E(576)^317-E(576)^509, E(576)^317+E(576)^509, E(16), E(16), E(16), E(16), -E(16), -E(16), -E(16), -E(16), -E(16)^5, -E(16)^5, -E(16)^5, -E(16)^5, E(16)^5, E(16)^5, E(16)^5, E(16)^5, E(16), E(16), -E(16), -E(16), -E(16)^5, -E(16)^5, E(16)^5, E(16)^5, E(144)^125, E(144)^125, E(144)^77, E(144)^77, -E(144)^77-E(144)^125, -E(144)^77-E(144)^125, -E(144)^125, -E(144)^125, -E(144)^77, -E(144)^77, E(144)^77+E(144)^125, E(144)^77+E(144)^125, E(144)^89, E(144)^89, E(144)^41, E(144)^41, -E(144)^41-E(144)^89, -E(144)^41-E(144)^89, -E(144)^89, -E(144)^89, -E(144)^41, -E(144)^41, E(144)^41+E(144)^89, E(144)^41+E(144)^89, E(36)^17+E(36)^29, -E(36)^29, -E(36)^17, E(36)^17+E(36)^29, -E(36)^29, -E(36)^17, E(36)^17+E(36)^29, -E(36)^29, -E(36)^17, E(36)^17+E(36)^29, -E(36)^29, -E(36)^17, -E(36)^17-E(36)^29, E(36)^29, E(36)^17, -E(36)^17-E(36)^29, E(36)^29, E(36)^17, -E(36)^17-E(36)^29, E(36)^29, E(36)^17, -E(36)^17-E(36)^29, E(36)^29, E(36)^17, -E(256)^37, E(256)^37, E(256)^101, -E(256)^101, E(256)^5, -E(256)^5, -E(256)^69, E(256)^69, E(256)^85, -E(256)^85, E(256)^21, -E(256)^21, -E(256)^53, E(256)^53, E(256)^117, -E(256)^117, -E(256)^61, E(256)^61, E(256)^125, -E(256)^125, -E(256)^29, E(256)^29, E(256)^93, -E(256)^93, -E(256)^45, E(256)^45, E(256)^109, -E(256)^109, -E(256)^13, E(256)^13, E(256)^77, -E(256)^77, E(256)^45, -E(256)^45, E(256)^109, -E(256)^109, E(256)^77, -E(256)^77, -E(256)^13, E(256)^13, -E(256)^61, E(256)^61, -E(256)^125, E(256)^125, -E(256)^93, E(256)^93, E(256)^29, -E(256)^29, E(64)^5, E(64)^5, -E(64)^5, -E(64)^5, E(64)^21, E(64)^21, -E(64)^21, -E(64)^21, -E(64)^13, -E(64)^13, E(64)^13, E(64)^13, -E(64)^29, -E(64)^29, E(64)^29, E(64)^29, E(64)^5, -E(64)^5, E(64)^21, -E(64)^21, -E(64)^13, E(64)^13, -E(64)^29, E(64)^29, E(576)^245, -E(576)^245, E(576)^437, -E(576)^437, -E(576)^245-E(576)^437, E(576)^245+E(576)^437, -E(576)^389, E(576)^389, -E(576)^5, E(576)^5, E(576)^5+E(576)^389, -E(576)^5-E(576)^389, E(576)^173, -E(576)^173, E(576)^365, -E(576)^365, -E(576)^173-E(576)^365, E(576)^173+E(576)^365, -E(576)^317, E(576)^317, -E(576)^509, E(576)^509, E(576)^317+E(576)^509, -E(576)^317-E(576)^509, -E(576)^317, E(576)^317, -E(576)^509, E(576)^509, E(576)^317+E(576)^509, -E(576)^317-E(576)^509, E(576)^173, -E(576)^173, E(576)^365, -E(576)^365, -E(576)^173-E(576)^365, E(576)^173+E(576)^365, -E(576)^389, E(576)^389, -E(576)^5, E(576)^5, E(576)^5+E(576)^389, -E(576)^5-E(576)^389, E(576)^245, -E(576)^245, E(576)^437, -E(576)^437, -E(576)^245-E(576)^437, E(576)^245+E(576)^437, E(144)^125, E(144)^125, E(144)^77, E(144)^77, -E(144)^77-E(144)^125, -E(144)^77-E(144)^125, -E(144)^125, -E(144)^125, -E(144)^77, -E(144)^77, E(144)^77+E(144)^125, E(144)^77+E(144)^125, -E(144)^89, -E(144)^89, -E(144)^41, -E(144)^41, E(144)^41+E(144)^89, E(144)^41+E(144)^89, E(144)^89, E(144)^89, E(144)^41, E(144)^41, -E(144)^41-E(144)^89, -E(144)^41-E(144)^89, E(256)^117, -E(256)^117, E(256)^53, -E(256)^53, -E(256)^85, E(256)^85, -E(256)^21, E(256)^21, -E(256)^37, E(256)^37, E(256)^101, -E(256)^101, E(256)^5, -E(256)^5, -E(256)^69, E(256)^69, -E(576)^173, E(576)^173, -E(576)^365, E(576)^365, E(576)^173+E(576)^365, -E(576)^173-E(576)^365, E(576)^317, -E(576)^317, E(576)^509, -E(576)^509, -E(576)^317-E(576)^509, E(576)^317+E(576)^509, -E(576)^389, E(576)^389, -E(576)^5, E(576)^5, E(576)^5+E(576)^389, -E(576)^5-E(576)^389, -E(576)^245, E(576)^245, -E(576)^437, E(576)^437, E(576)^245+E(576)^437, -E(576)^245-E(576)^437 ];
return rec(S := S, T := T);;