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(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)^233, 1/24*E(288)^73+1/24*E(288)^233, 1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^3, -1/24*E(16)^3, 1/24*E(16)^7, 1/24*E(16)^7, -1/24*E(16)^7, -1/24*E(16)^7, -1/24*E(16)^5, -1/24*E(16)^5, 1/24*E(16)^5, 1/24*E(16)^5, 1/24*E(16), 1/24*E(16), -1/24*E(16), -1/24*E(16), -1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^7, 1/24*E(16)^7, 1/24*E(16)^5, -1/24*E(16)^5, -1/24*E(16), 1/24*E(16), -1/24*E(144)^13-1/24*E(144)^77, 1/24*E(144)^13+1/24*E(144)^77, 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)^109-1/24*E(144)^125, 1/24*E(144)^109+1/24*E(144)^125, 1/24*E(144)^41+1/24*E(144)^121, -1/24*E(144)^41-1/24*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)^73+1/24*E(144)^89+1/24*E(144)^121, 1/24*E(144)^73+1/24*E(144)^89, -1/24*E(144)^73-1/24*E(144)^89, 1/24*E(144)^59+1/24*E(144)^139, -1/24*E(144)^59-1/24*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)^91+1/24*E(144)^107+1/24*E(144)^139, 1/24*E(144)^91+1/24*E(144)^107, -1/24*E(144)^91-1/24*E(144)^107, 1/24*E(144)^31+1/24*E(144)^95, -1/24*E(144)^31-1/24*E(144)^95, -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)^127+1/24*E(144)^143, -1/24*E(144)^127-1/24*E(144)^143, 1/24*E(72)^59+1/24*E(72)^67, 1/24*E(72)^11+1/24*E(72)^43, -1/24*E(72)^11-1/24*E(72)^43-1/24*E(72)^59-1/24*E(72)^67, -1/24*E(72)^59-1/24*E(72)^67, -1/24*E(72)^11-1/24*E(72)^43, 1/24*E(72)^11+1/24*E(72)^43+1/24*E(72)^59+1/24*E(72)^67, 1/24*E(72)^41+1/24*E(72)^49, 1/24*E(72)^25+1/24*E(72)^65, -1/24*E(72)^25-1/24*E(72)^41-1/24*E(72)^49-1/24*E(72)^65, -1/24*E(72)^41-1/24*E(72)^49, -1/24*E(72)^25-1/24*E(72)^65, 1/24*E(72)^25+1/24*E(72)^41+1/24*E(72)^49+1/24*E(72)^65, -1/24*E(36)^25-1/24*E(36)^29, -1/24*E(36)-1/24*E(36)^17, 1/24*E(36)+1/24*E(36)^17+1/24*E(36)^25+1/24*E(36)^29, 1/24*E(36)^25+1/24*E(36)^29, 1/24*E(36)+1/24*E(36)^17, -1/24*E(36)-1/24*E(36)^17-1/24*E(36)^25-1/24*E(36)^29, -1/24*E(9)^4-1/24*E(9)^5, -1/24*E(9)^2-1/24*E(9)^7, 1/24*E(9)^2+1/24*E(9)^4+1/24*E(9)^5+1/24*E(9)^7, 1/24*E(9)^4+1/24*E(9)^5, 1/24*E(9)^2+1/24*E(9)^7, -1/24*E(9)^2-1/24*E(9)^4-1/24*E(9)^5-1/24*E(9)^7, 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)^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)^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)^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)^263, 1/24*E(288)^7+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)^71-1/24*E(288)^199-1/24*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)^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)^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)^91+1/24*E(288)^251, -1/24*E(288)^91-1/24*E(288)^251, 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)^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)^35+1/24*E(288)^163, -1/24*E(288)^35-1/24*E(288)^163, -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)^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)^73-1/24*E(288)^233, 1/24*E(288)^73+1/24*E(288)^233, -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)^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)^17-1/24*E(288)^145, 1/24*E(288)^17+1/24*E(288)^145, 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)^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)^109+1/24*E(288)^269, -1/24*E(288)^109-1/24*E(288)^269, 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)^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)^53+1/24*E(288)^181, -1/24*E(288)^53-1/24*E(288)^181, 1/24*E(144)^31+1/24*E(144)^95, -1/24*E(144)^31-1/24*E(144)^95, -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)^127+1/24*E(144)^143, -1/24*E(144)^127-1/24*E(144)^143, -1/24*E(144)^59-1/24*E(144)^139, 1/24*E(144)^59+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)^91-1/24*E(144)^107-1/24*E(144)^139, -1/24*E(144)^91-1/24*E(144)^107, 1/24*E(144)^91+1/24*E(144)^107, 1/24*E(144)^13+1/24*E(144)^77, -1/24*E(144)^13-1/24*E(144)^77, -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)^109+1/24*E(144)^125, -1/24*E(144)^109-1/24*E(144)^125, 1/24*E(144)^41+1/24*E(144)^121, -1/24*E(144)^41-1/24*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)^73+1/24*E(144)^89+1/24*E(144)^121, 1/24*E(144)^73+1/24*E(144)^89, -1/24*E(144)^73-1/24*E(144)^89, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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)^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)^35-1/24*E(288)^163, 1/24*E(288)^35+1/24*E(288)^163, 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)^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)^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)^263, -1/24*E(288)^7-1/24*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)^71+1/24*E(288)^199+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)^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)^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)^127-1/24*E(288)^287, 1/24*E(288)^127+1/24*E(288)^287 ]];
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)^113, E(256)^113, E(256)^49, -E(256)^49, -E(256)^17, E(256)^17, -E(256)^81, E(256)^81, -E(256)^65, E(256)^65, E(256), -E(256), E(256)^97, -E(256)^97, -E(256)^33, E(256)^33, -E(64), -E(64), E(64), E(64), E(64)^17, E(64)^17, -E(64)^17, -E(64)^17, -E(64)^25, -E(64)^25, E(64)^25, E(64)^25, -E(64)^9, -E(64)^9, E(64)^9, E(64)^9, -E(64), E(64), E(64)^17, -E(64)^17, -E(64)^25, E(64)^25, -E(64)^9, E(64)^9, 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)^7, -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(9)^4-E(9)^7, 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(9)^4, E(9)^7, -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(9)^4-E(9)^7, E(9)^4, -E(256)^89, E(256)^89, -E(256)^25, E(256)^25, -E(256)^57, E(256)^57, E(256)^121, -E(256)^121, E(256)^73, -E(256)^73, E(256)^9, -E(256)^9, E(256)^41, -E(256)^41, -E(256)^105, E(256)^105, -E(256)^57, E(256)^57, -E(256)^121, E(256)^121, -E(256)^89, E(256)^89, E(256)^25, -E(256)^25, -E(256)^73, E(256)^73, E(256)^9, -E(256)^9, -E(256)^105, E(256)^105, E(256)^41, -E(256)^41, E(256)^33, -E(256)^33, E(256)^97, -E(256)^97, -E(256)^65, E(256)^65, E(256), -E(256), E(256)^113, -E(256)^113, -E(256)^49, E(256)^49, E(256)^17, -E(256)^17, E(256)^81, -E(256)^81, -E(64)^17, -E(64)^17, E(64)^17, E(64)^17, E(64), E(64), -E(64), -E(64), -E(64)^25, -E(64)^25, E(64)^25, E(64)^25, E(64)^9, E(64)^9, -E(64)^9, -E(64)^9, -E(64)^17, E(64)^17, E(64), -E(64), -E(64)^25, E(64)^25, E(64)^9, -E(64)^9, E(64)^25, E(64)^25, -E(64)^25, -E(64)^25, E(64)^9, E(64)^9, -E(64)^9, -E(64)^9, -E(64), -E(64), E(64), E(64), E(64)^17, E(64)^17, -E(64)^17, -E(64)^17, E(64)^25, -E(64)^25, E(64)^9, -E(64)^9, -E(64), E(64), E(64)^17, -E(64)^17, -E(576)^409, E(576)^409, -E(576)^25, E(576)^25, E(576)^25+E(576)^409, -E(576)^25-E(576)^409, E(576)^265, -E(576)^265, E(576)^457, -E(576)^457, -E(576)^265-E(576)^457, E(576)^265+E(576)^457, E(576)^481, -E(576)^481, E(576)^97, -E(576)^97, -E(576)^97-E(576)^481, E(576)^97+E(576)^481, -E(576)^337, E(576)^337, -E(576)^529, E(576)^529, E(576)^337+E(576)^529, -E(576)^337-E(576)^529, 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)^73-E(144)^121, -E(144)^73-E(144)^121, E(144)^121, E(144)^121, E(144)^73, E(144)^73, E(144)^73+E(144)^121, E(144)^73+E(144)^121, -E(144)^121, -E(144)^121, -E(144)^73, -E(144)^73, E(144)^13+E(144)^109, E(144)^13+E(144)^109, -E(144)^13, -E(144)^13, -E(144)^109, -E(144)^109, -E(144)^13-E(144)^109, -E(144)^13-E(144)^109, E(144)^13, E(144)^13, E(144)^109, E(144)^109, E(36)^25, -E(36)-E(36)^25, E(36), E(36)^25, -E(36)-E(36)^25, E(36), E(36)^25, -E(36)-E(36)^25, E(36), E(36)^25, -E(36)-E(36)^25, E(36), -E(36)^25, E(36)+E(36)^25, -E(36), -E(36)^25, E(36)+E(36)^25, -E(36), -E(36)^25, E(36)+E(36)^25, -E(36), -E(36)^25, E(36)+E(36)^25, -E(36), E(256)^97, -E(256)^97, E(256)^33, -E(256)^33, -E(256)^65, E(256)^65, -E(256), E(256), E(256)^17, -E(256)^17, -E(256)^81, E(256)^81, E(256)^113, -E(256)^113, E(256)^49, -E(256)^49, -E(256)^121, E(256)^121, -E(256)^57, E(256)^57, -E(256)^89, E(256)^89, -E(256)^25, E(256)^25, -E(256)^105, E(256)^105, -E(256)^41, E(256)^41, -E(256)^73, E(256)^73, -E(256)^9, E(256)^9, -E(256)^73, E(256)^73, E(256)^9, -E(256)^9, -E(256)^105, E(256)^105, E(256)^41, -E(256)^41, E(256)^89, -E(256)^89, -E(256)^25, E(256)^25, E(256)^121, -E(256)^121, -E(256)^57, E(256)^57, -E(64)^25, -E(64)^25, E(64)^25, E(64)^25, E(64)^9, E(64)^9, -E(64)^9, -E(64)^9, -E(64), -E(64), E(64), E(64), -E(64)^17, -E(64)^17, E(64)^17, E(64)^17, -E(64)^25, E(64)^25, E(64)^9, -E(64)^9, -E(64), E(64), -E(64)^17, E(64)^17, E(576)^337, -E(576)^337, E(576)^529, -E(576)^529, -E(576)^337-E(576)^529, E(576)^337+E(576)^529, -E(576)^481, E(576)^481, -E(576)^97, E(576)^97, E(576)^97+E(576)^481, -E(576)^97-E(576)^481, E(576)^409, -E(576)^409, E(576)^25, -E(576)^25, -E(576)^25-E(576)^409, E(576)^25+E(576)^409, E(576)^265, -E(576)^265, E(576)^457, -E(576)^457, -E(576)^265-E(576)^457, E(576)^265+E(576)^457, E(576)^481, -E(576)^481, E(576)^97, -E(576)^97, -E(576)^97-E(576)^481, E(576)^97+E(576)^481, -E(576)^337, E(576)^337, -E(576)^529, E(576)^529, E(576)^337+E(576)^529, -E(576)^337-E(576)^529, -E(576)^265, E(576)^265, -E(576)^457, E(576)^457, E(576)^265+E(576)^457, -E(576)^265-E(576)^457, -E(576)^409, E(576)^409, -E(576)^25, E(576)^25, E(576)^25+E(576)^409, -E(576)^25-E(576)^409, E(144)^73+E(144)^121, E(144)^73+E(144)^121, -E(144)^121, -E(144)^121, -E(144)^73, -E(144)^73, -E(144)^73-E(144)^121, -E(144)^73-E(144)^121, E(144)^121, E(144)^121, E(144)^73, E(144)^73, E(144)^13+E(144)^109, E(144)^13+E(144)^109, -E(144)^13, -E(144)^13, -E(144)^109, -E(144)^109, -E(144)^13-E(144)^109, -E(144)^13-E(144)^109, E(144)^13, E(144)^13, E(144)^109, E(144)^109, E(256)^65, -E(256)^65, E(256), -E(256), -E(256)^33, E(256)^33, E(256)^97, -E(256)^97, E(256)^113, -E(256)^113, E(256)^49, -E(256)^49, -E(256)^81, E(256)^81, -E(256)^17, E(256)^17, E(576)^409, -E(576)^409, E(576)^25, -E(576)^25, -E(576)^25-E(576)^409, E(576)^25+E(576)^409, E(576)^265, -E(576)^265, E(576)^457, -E(576)^457, -E(576)^265-E(576)^457, E(576)^265+E(576)^457, -E(576)^337, E(576)^337, -E(576)^529, E(576)^529, E(576)^337+E(576)^529, -E(576)^337-E(576)^529, E(576)^481, -E(576)^481, E(576)^97, -E(576)^97, -E(576)^97-E(576)^481, E(576)^97+E(576)^481 ];
return rec(S := S, T := T);;