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)^13-1/24*E(144)^77, 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)^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)^121, -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)^139, 1/24, -1/24, 1/24*E(4), -1/24*E(4), -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(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(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(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, 1/24*E(9)^4+1/24*E(9)^5, 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(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)^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)^59+1/24*E(72)^67, -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(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)^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(9)^2-1/24*E(9)^7, -1/24*E(9)^4-1/24*E(9)^5, 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, -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)^25-1/24*E(72)^65, -1/24*E(72)^41-1/24*E(72)^49, 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)^5, 1/24*E(16)^5, 1/24*E(16), -1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^7, -1/24*E(16)^3, 1/24*E(16)^3, -1/24*E(16)^5, 1/24*E(16)^5, 1/24*E(16), -1/24*E(16), 1/24*E(16)^7, -1/24*E(16)^7, -1/24*E(16)^3, 1/24*E(16)^3, 1/24*E(16)^5, -1/24*E(16)^5, -1/24*E(16), 1/24*E(16), -1/24*E(16)^7, 1/24*E(16)^7, 1/24*E(16)^3, -1/24*E(16)^3, 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)^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)^139, 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)^121, 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)^127+1/24*E(144)^143, -1/24*E(144)^31-1/24*E(144)^95, -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)^121, 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)^139, -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)^109+1/24*E(144)^125, -1/24*E(144)^13-1/24*E(144)^77, 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)^139, -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)^121, -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)^127-1/24*E(144)^143, 1/24*E(144)^31+1/24*E(144)^95, 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)^121, -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)^139, 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(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)^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(72)^41-1/24*E(72)^49, -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(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(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, 1/24*E(9)^4+1/24*E(9)^5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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)^139, 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)^121, 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)^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)^109-1/24*E(144)^125, 1/24*E(144)^13+1/24*E(144)^77, -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)^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)^121, 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)^139 ]];
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, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, E(32)^13, -E(32)^13, -E(32)^5, E(32)^5, E(32), -E(32), E(32)^9, -E(32)^9, E(32)^13, -E(32)^13, -E(32)^5, E(32)^5, E(32), -E(32), E(32)^9, -E(32)^9, E(32)^13, -E(32)^13, -E(32)^5, E(32)^5, E(32), -E(32), E(32)^9, -E(32)^9, E(8), E(8), -E(8), -E(8), E(8), E(8), -E(8), -E(8), E(8)^3, E(8)^3, -E(8)^3, -E(8)^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, -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(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, -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(4), -E(4), E(4), E(4), 1, 1, -1, -1, E(4), E(4), -E(4), -E(4), -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)^5, -E(32)^5, -E(32)^13, E(32)^13, E(32), -E(32), -E(32)^9, E(32)^9, E(32)^5, -E(32)^5, -E(32)^13, E(32)^13, E(32), -E(32), -E(32)^9, E(32)^9, E(32)^5, -E(32)^5, -E(32)^13, E(32)^13, E(32), -E(32), -E(32)^9, E(32)^9, E(32), -E(32), E(32)^9, -E(32)^9, E(32)^5, -E(32)^5, E(32)^13, -E(32)^13, E(32), -E(32), E(32)^9, -E(32)^9, E(32)^5, -E(32)^5, E(32)^13, -E(32)^13, E(32), -E(32), E(32)^9, -E(32)^9, E(32)^5, -E(32)^5, E(32)^13, -E(32)^13, E(288)^241, E(288)^145, -E(288)^145-E(288)^241, -E(288)^205, -E(288)^109, E(288)^109+E(288)^205, E(288)^169, E(288)^73, -E(288)^73-E(288)^169, E(288)^277, E(288)^181, -E(288)^181-E(288)^277, -E(288)^277, -E(288)^181, E(288)^181+E(288)^277, -E(288)^169, -E(288)^73, E(288)^73+E(288)^169, E(288)^205, E(288)^109, -E(288)^109-E(288)^205, -E(288)^241, -E(288)^145, E(288)^145+E(288)^241, E(8)^3, E(8)^3, -E(8)^3, -E(8)^3, E(8)^3, E(8)^3, -E(8)^3, -E(8)^3, E(8), E(8), -E(8), -E(8), 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(72)^43+E(72)^67, -E(72)^43, -E(72)^67, -E(72)^43-E(72)^67, E(72)^43, E(72)^67, -E(72)^43-E(72)^67, E(72)^43, E(72)^67, E(72)^43+E(72)^67, -E(72)^43, -E(72)^67, E(72)^25+E(72)^49, -E(72)^25, -E(72)^49, -E(72)^25-E(72)^49, E(72)^25, E(72)^49, -E(72)^25-E(72)^49, E(72)^25, E(72)^49, E(72)^25+E(72)^49, -E(72)^25, -E(72)^49, -E(9)^2, E(9)^2+E(9)^5, -E(9)^5, -E(9)^2, E(9)^2+E(9)^5, -E(9)^5, -E(9)^2, E(9)^2+E(9)^5, -E(9)^5, -E(9)^2, E(9)^2+E(9)^5, -E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, E(9)^2, -E(9)^2-E(9)^5, E(9)^5, 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(4), -E(4), E(4), E(4), -1, -1, 1, 1, E(4), E(4), -E(4), -E(4), 1, 1, -1, -1, E(32)^9, -E(32)^9, E(32), -E(32), -E(32)^5, E(32)^5, E(32)^13, -E(32)^13, E(32)^9, -E(32)^9, E(32), -E(32), -E(32)^5, E(32)^5, E(32)^13, -E(32)^13, E(32)^9, -E(32)^9, E(32), -E(32), -E(32)^5, E(32)^5, E(32)^13, -E(32)^13, -E(288)^241, -E(288)^145, E(288)^145+E(288)^241, -E(288)^277, -E(288)^181, E(288)^181+E(288)^277, E(288)^169, E(288)^73, -E(288)^73-E(288)^169, E(288)^205, E(288)^109, -E(288)^109-E(288)^205, -E(288)^205, -E(288)^109, E(288)^109+E(288)^205, -E(288)^169, -E(288)^73, E(288)^73+E(288)^169, E(288)^277, E(288)^181, -E(288)^181-E(288)^277, E(288)^241, E(288)^145, -E(288)^145-E(288)^241, E(288)^277, E(288)^181, -E(288)^181-E(288)^277, E(288)^241, E(288)^145, -E(288)^145-E(288)^241, E(288)^205, E(288)^109, -E(288)^109-E(288)^205, E(288)^169, E(288)^73, -E(288)^73-E(288)^169, -E(288)^169, -E(288)^73, E(288)^73+E(288)^169, -E(288)^205, -E(288)^109, E(288)^109+E(288)^205, -E(288)^241, -E(288)^145, E(288)^145+E(288)^241, -E(288)^277, -E(288)^181, E(288)^181+E(288)^277, E(72)^25+E(72)^49, -E(72)^25, -E(72)^49, -E(72)^25-E(72)^49, E(72)^25, E(72)^49, -E(72)^25-E(72)^49, E(72)^25, E(72)^49, E(72)^25+E(72)^49, -E(72)^25, -E(72)^49, E(72)^43+E(72)^67, -E(72)^43, -E(72)^67, -E(72)^43-E(72)^67, E(72)^43, E(72)^67, -E(72)^43-E(72)^67, E(72)^43, E(72)^67, E(72)^43+E(72)^67, -E(72)^43, -E(72)^67, -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(288)^277, E(288)^181, -E(288)^181-E(288)^277, E(288)^169, E(288)^73, -E(288)^73-E(288)^169, -E(288)^205, -E(288)^109, E(288)^109+E(288)^205, E(288)^241, E(288)^145, -E(288)^145-E(288)^241, -E(288)^241, -E(288)^145, E(288)^145+E(288)^241, E(288)^205, E(288)^109, -E(288)^109-E(288)^205, -E(288)^169, -E(288)^73, E(288)^73+E(288)^169, -E(288)^277, -E(288)^181, E(288)^181+E(288)^277 ];
return rec(S := S, T := T);;