local S, T;
S := [[ 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, 1/24, 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, 1/24, 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, 1/24, 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, 1/24, 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, 1/24, 1/24, 1/24, 1/24, 1/24, 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-1/24*E(144)^127, -1/24*E(144)^41-1/24*E(144)^89, 1/24*E(144)^89, 1/24*E(144)^41, 1/24*E(144)^95+1/24*E(144)^143, -1/24*E(144)^143, -1/24*E(144)^95, 1/24*E(144)^77+1/24*E(144)^125, -1/24*E(144)^125, -1/24*E(144)^77, 1/24*E(144)^59+1/24*E(144)^107, -1/24*E(144)^107, -1/24*E(144)^59, -1/24*E(144)^59-1/24*E(144)^107, 1/24*E(144)^107, 1/24*E(144)^59, -1/24*E(144)^77-1/24*E(144)^125, 1/24*E(144)^125, 1/24*E(144)^77, -1/24*E(144)^95-1/24*E(144)^143, 1/24*E(144)^143, 1/24*E(144)^95, 1/24*E(144)^41+1/24*E(144)^89, -1/24*E(144)^89, -1/24*E(144)^41, 1/24*E(144)^41+1/24*E(144)^89, -1/24*E(144)^89, -1/24*E(144)^41, -1/24*E(144)^95-1/24*E(144)^143, 1/24*E(144)^143, 1/24*E(144)^95, -1/24*E(144)^77-1/24*E(144)^125, 1/24*E(144)^125, 1/24*E(144)^77, -1/24*E(144)^59-1/24*E(144)^107, 1/24*E(144)^107, 1/24*E(144)^59, 1/24*E(144)^59+1/24*E(144)^107, -1/24*E(144)^107, -1/24*E(144)^59, 1/24*E(144)^77+1/24*E(144)^125, -1/24*E(144)^125, -1/24*E(144)^77, 1/24*E(144)^95+1/24*E(144)^143, -1/24*E(144)^143, -1/24*E(144)^95, -1/24*E(144)^41-1/24*E(144)^89, 1/24*E(144)^89, 1/24*E(144)^41, -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(48)^37, -1/24*E(48)^31, -1/24*E(48)^25, -1/24*E(48)^19, 1/24*E(48)^19, 1/24*E(48)^25, 1/24*E(48)^31, 1/24*E(48)^37, -1/24*E(48)^5, -1/24*E(48)^47, -1/24*E(48)^41, -1/24*E(48)^35, 1/24*E(48)^35, 1/24*E(48)^41, 1/24*E(48)^47, 1/24*E(48)^5, -1/24*E(36)^25, -1/24*E(36), 1/24*E(36)+1/24*E(36)^25, -1/24*E(9)^4, -1/24*E(9)^7, 1/24*E(9)^4+1/24*E(9)^7, 1/24*E(9)^4, 1/24*E(9)^7, -1/24*E(9)^4-1/24*E(9)^7, 1/24*E(36)^25, 1/24*E(36), -1/24*E(36)-1/24*E(36)^25, -1/24*E(72)^41, -1/24*E(72)^65, 1/24*E(72)^41+1/24*E(72)^65, 1/24*E(72)^59, 1/24*E(72)^11, -1/24*E(72)^11-1/24*E(72)^59, -1/24*E(72)^59, -1/24*E(72)^11, 1/24*E(72)^11+1/24*E(72)^59, 1/24*E(72)^41, 1/24*E(72)^65, -1/24*E(72)^41-1/24*E(72)^65, 1/24*E(36), 1/24*E(36)^25, -1/24*E(36)-1/24*E(36)^25, -1/24*E(36), -1/24*E(36)^25, 1/24*E(36)+1/24*E(36)^25, 1/24*E(9)^7, 1/24*E(9)^4, -1/24*E(9)^4-1/24*E(9)^7, -1/24*E(9)^7, -1/24*E(9)^4, 1/24*E(9)^4+1/24*E(9)^7, 1/24*E(72)^11, 1/24*E(72)^59, -1/24*E(72)^11-1/24*E(72)^59, -1/24*E(72)^11, -1/24*E(72)^59, 1/24*E(72)^11+1/24*E(72)^59, -1/24*E(72)^65, -1/24*E(72)^41, 1/24*E(72)^41+1/24*E(72)^65, 1/24*E(72)^65, 1/24*E(72)^41, -1/24*E(72)^41-1/24*E(72)^65, -1/24*E(72)^67, 1/24*E(72)^43+1/24*E(72)^67, -1/24*E(72)^43, -1/24*E(72)^49, 1/24*E(72)^25+1/24*E(72)^49, -1/24*E(72)^25, 1/24*E(72)^49, -1/24*E(72)^25-1/24*E(72)^49, 1/24*E(72)^25, 1/24*E(72)^67, -1/24*E(72)^43-1/24*E(72)^67, 1/24*E(72)^43, -1/24*E(36)^29, 1/24*E(36)^17+1/24*E(36)^29, -1/24*E(36)^17, -1/24*E(9)^5, 1/24*E(9)^2+1/24*E(9)^5, -1/24*E(9)^2, 1/24*E(9)^5, -1/24*E(9)^2-1/24*E(9)^5, 1/24*E(9)^2, 1/24*E(36)^29, -1/24*E(36)^17-1/24*E(36)^29, 1/24*E(36)^17, -1/24*E(144)^73-1/24*E(144)^121, 1/24*E(144)^121, 1/24*E(144)^73, 1/24*E(144)^31+1/24*E(144)^127, -1/24*E(144)^31, -1/24*E(144)^127, 1/24*E(144)^13+1/24*E(144)^109, -1/24*E(144)^13, -1/24*E(144)^109, 1/24*E(144)^91+1/24*E(144)^139, -1/24*E(144)^139, -1/24*E(144)^91, -1/24*E(144)^91-1/24*E(144)^139, 1/24*E(144)^139, 1/24*E(144)^91, -1/24*E(144)^13-1/24*E(144)^109, 1/24*E(144)^13, 1/24*E(144)^109, -1/24*E(144)^31-1/24*E(144)^127, 1/24*E(144)^31, 1/24*E(144)^127, 1/24*E(144)^73+1/24*E(144)^121, -1/24*E(144)^121, -1/24*E(144)^73, 1/24*E(144)^73+1/24*E(144)^121, -1/24*E(144)^121, -1/24*E(144)^73, -1/24*E(144)^31-1/24*E(144)^127, 1/24*E(144)^31, 1/24*E(144)^127, -1/24*E(144)^13-1/24*E(144)^109, 1/24*E(144)^13, 1/24*E(144)^109, -1/24*E(144)^91-1/24*E(144)^139, 1/24*E(144)^139, 1/24*E(144)^91, 1/24*E(144)^91+1/24*E(144)^139, -1/24*E(144)^139, -1/24*E(144)^91, 1/24*E(144)^13+1/24*E(144)^109, -1/24*E(144)^13, -1/24*E(144)^109, 1/24*E(144)^31+1/24*E(144)^127, -1/24*E(144)^31, -1/24*E(144)^127, -1/24*E(144)^73-1/24*E(144)^121, 1/24*E(144)^121, 1/24*E(144)^73, 1/24*E(144)^95+1/24*E(144)^143, -1/24*E(144)^143, -1/24*E(144)^95, 1/24*E(144)^77+1/24*E(144)^125, -1/24*E(144)^125, -1/24*E(144)^77, 1/24*E(144)^59+1/24*E(144)^107, -1/24*E(144)^107, -1/24*E(144)^59, 1/24*E(144)^41+1/24*E(144)^89, -1/24*E(144)^89, -1/24*E(144)^41, -1/24*E(144)^41-1/24*E(144)^89, 1/24*E(144)^89, 1/24*E(144)^41, -1/24*E(144)^59-1/24*E(144)^107, 1/24*E(144)^107, 1/24*E(144)^59, -1/24*E(144)^77-1/24*E(144)^125, 1/24*E(144)^125, 1/24*E(144)^77, -1/24*E(144)^95-1/24*E(144)^143, 1/24*E(144)^143, 1/24*E(144)^95, -1/24*E(72)^59, -1/24*E(72)^11, 1/24*E(72)^11+1/24*E(72)^59, -1/24*E(72)^41, -1/24*E(72)^65, 1/24*E(72)^41+1/24*E(72)^65, 1/24*E(72)^41, 1/24*E(72)^65, -1/24*E(72)^41-1/24*E(72)^65, 1/24*E(72)^59, 1/24*E(72)^11, -1/24*E(72)^11-1/24*E(72)^59, -1/24*E(36)^25, -1/24*E(36), 1/24*E(36)+1/24*E(36)^25, -1/24*E(9)^4, -1/24*E(9)^7, 1/24*E(9)^4+1/24*E(9)^7, 1/24*E(9)^4, 1/24*E(9)^7, -1/24*E(9)^4-1/24*E(9)^7, 1/24*E(36)^25, 1/24*E(36), -1/24*E(36)-1/24*E(36)^25, 1/24*E(144)^31+1/24*E(144)^127, -1/24*E(144)^31, -1/24*E(144)^127, 1/24*E(144)^13+1/24*E(144)^109, -1/24*E(144)^13, -1/24*E(144)^109, 1/24*E(144)^91+1/24*E(144)^139, -1/24*E(144)^139, -1/24*E(144)^91, 1/24*E(144)^73+1/24*E(144)^121, -1/24*E(144)^121, -1/24*E(144)^73, -1/24*E(144)^73-1/24*E(144)^121, 1/24*E(144)^121, 1/24*E(144)^73, -1/24*E(144)^91-1/24*E(144)^139, 1/24*E(144)^139, 1/24*E(144)^91, -1/24*E(144)^13-1/24*E(144)^109, 1/24*E(144)^13, 1/24*E(144)^109, -1/24*E(144)^31-1/24*E(144)^127, 1/24*E(144)^31, 1/24*E(144)^127 ]];
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(32)^5, E(32), -E(32)^13, -E(32)^9, E(32)^9, E(32)^13, -E(32), -E(32)^5, E(32)^5, E(32), -E(32)^13, -E(32)^9, E(32)^9, E(32)^13, -E(32), -E(32)^5, E(32)^5, E(32), -E(32)^13, -E(32)^9, E(32)^9, E(32)^13, -E(32), -E(32)^5, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(8), -E(8), -E(8), E(8), 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)^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(288)^173-E(288)^269, E(288)^269, E(288)^173, -E(288)^137-E(288)^233, E(288)^233, E(288)^137, E(288)^53+E(288)^245, -E(288)^53, -E(288)^245, E(288)^17+E(288)^209, -E(288)^17, -E(288)^209, -E(288)^17-E(288)^209, E(288)^17, E(288)^209, -E(288)^53-E(288)^245, E(288)^53, E(288)^245, E(288)^137+E(288)^233, -E(288)^233, -E(288)^137, E(288)^173+E(288)^269, -E(288)^269, -E(288)^173, -E(32)^5, E(32)^9, -E(32)^13, -E(32), E(32), E(32)^13, -E(32)^9, E(32)^5, -E(32)^5, E(32)^9, -E(32)^13, -E(32), E(32), E(32)^13, -E(32)^9, E(32)^5, -E(32)^5, E(32)^9, -E(32)^13, -E(32), E(32), E(32)^13, -E(32)^9, E(32)^5, -E(32)^9, E(32)^5, -E(32), -E(32)^13, E(32)^13, E(32), -E(32)^5, E(32)^9, -E(32)^9, E(32)^5, -E(32), -E(32)^13, E(32)^13, E(32), -E(32)^5, E(32)^9, -E(32)^9, E(32)^5, -E(32), -E(32)^13, E(32)^13, E(32), -E(32)^5, E(32)^9, 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(9)^7, E(72)^11, -E(72)^11-E(72)^59, E(72)^59, -E(72)^11, E(72)^11+E(72)^59, -E(72)^59, -E(72)^11, E(72)^11+E(72)^59, -E(72)^59, E(72)^11, -E(72)^11-E(72)^59, E(72)^59, E(72)^65, -E(72)^41-E(72)^65, E(72)^41, -E(72)^65, E(72)^41+E(72)^65, -E(72)^41, -E(72)^65, E(72)^41+E(72)^65, -E(72)^41, E(72)^65, -E(72)^41-E(72)^65, E(72)^41, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, E(9)^4, -E(9)^4-E(9)^7, E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(9)^7, -E(9)^4, E(9)^4+E(9)^7, -E(9)^7, 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)^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), -E(8), -E(8), E(8), -E(288)^173-E(288)^269, E(288)^173, E(288)^269, -E(288)^137-E(288)^233, E(288)^137, E(288)^233, E(288)^53+E(288)^245, -E(288)^245, -E(288)^53, E(288)^17+E(288)^209, -E(288)^209, -E(288)^17, -E(288)^17-E(288)^209, E(288)^209, E(288)^17, -E(288)^53-E(288)^245, E(288)^245, E(288)^53, E(288)^137+E(288)^233, -E(288)^137, -E(288)^233, E(288)^173+E(288)^269, -E(288)^173, -E(288)^269, E(288)^173+E(288)^269, -E(288)^269, -E(288)^173, -E(288)^17-E(288)^209, E(288)^17, E(288)^209, E(288)^53+E(288)^245, -E(288)^53, -E(288)^245, E(288)^137+E(288)^233, -E(288)^233, -E(288)^137, -E(288)^137-E(288)^233, E(288)^233, E(288)^137, -E(288)^53-E(288)^245, E(288)^53, E(288)^245, E(288)^17+E(288)^209, -E(288)^17, -E(288)^209, -E(288)^173-E(288)^269, E(288)^269, E(288)^173, E(288)^17+E(288)^209, -E(288)^17, -E(288)^209, -E(288)^173-E(288)^269, E(288)^269, E(288)^173, E(288)^137+E(288)^233, -E(288)^233, -E(288)^137, E(288)^53+E(288)^245, -E(288)^53, -E(288)^245, -E(288)^53-E(288)^245, E(288)^53, E(288)^245, -E(288)^137-E(288)^233, E(288)^233, E(288)^137, E(288)^173+E(288)^269, -E(288)^269, -E(288)^173, -E(288)^17-E(288)^209, E(288)^17, E(288)^209, -E(32)^9, -E(32)^13, E(32), E(32)^5, -E(32)^5, -E(32), E(32)^13, E(32)^9, -E(32)^9, -E(32)^13, E(32), E(32)^5, -E(32)^5, -E(32), E(32)^13, E(32)^9, -E(32)^9, -E(32)^13, E(32), E(32)^5, -E(32)^5, -E(32), E(32)^13, E(32)^9, E(72)^11, E(72)^59, -E(72)^11-E(72)^59, -E(72)^11, -E(72)^59, E(72)^11+E(72)^59, -E(72)^11, -E(72)^59, E(72)^11+E(72)^59, E(72)^11, E(72)^59, -E(72)^11-E(72)^59, E(72)^65, E(72)^41, -E(72)^41-E(72)^65, -E(72)^65, -E(72)^41, E(72)^41+E(72)^65, -E(72)^65, -E(72)^41, E(72)^41+E(72)^65, E(72)^65, E(72)^41, -E(72)^41-E(72)^65, -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(9)^7, E(72)^65, -E(72)^41-E(72)^65, E(72)^41, -E(72)^65, E(72)^41+E(72)^65, -E(72)^41, -E(72)^65, E(72)^41+E(72)^65, -E(72)^41, E(72)^65, -E(72)^41-E(72)^65, E(72)^41, E(72)^11, -E(72)^11-E(72)^59, E(72)^59, -E(72)^11, E(72)^11+E(72)^59, -E(72)^59, -E(72)^11, E(72)^11+E(72)^59, -E(72)^59, E(72)^11, -E(72)^11-E(72)^59, E(72)^59, E(288)^173+E(288)^269, -E(288)^173, -E(288)^269, -E(288)^17-E(288)^209, E(288)^209, E(288)^17, E(288)^53+E(288)^245, -E(288)^245, -E(288)^53, E(288)^137+E(288)^233, -E(288)^137, -E(288)^233, -E(288)^137-E(288)^233, E(288)^137, E(288)^233, -E(288)^53-E(288)^245, E(288)^245, E(288)^53, E(288)^17+E(288)^209, -E(288)^209, -E(288)^17, -E(288)^173-E(288)^269, E(288)^173, E(288)^269, E(288)^17+E(288)^209, -E(288)^209, -E(288)^17, -E(288)^173-E(288)^269, E(288)^173, E(288)^269, E(288)^137+E(288)^233, -E(288)^137, -E(288)^233, E(288)^53+E(288)^245, -E(288)^245, -E(288)^53, -E(288)^53-E(288)^245, E(288)^245, E(288)^53, -E(288)^137-E(288)^233, E(288)^137, E(288)^233, E(288)^173+E(288)^269, -E(288)^173, -E(288)^269, -E(288)^17-E(288)^209, E(288)^209, E(288)^17, E(288)^17+E(288)^209, -E(288)^17, -E(288)^209, E(288)^53+E(288)^245, -E(288)^53, -E(288)^245, -E(288)^137-E(288)^233, E(288)^233, E(288)^137, -E(288)^173-E(288)^269, E(288)^269, E(288)^173, E(288)^173+E(288)^269, -E(288)^269, -E(288)^173, E(288)^137+E(288)^233, -E(288)^233, -E(288)^137, -E(288)^53-E(288)^245, E(288)^53, E(288)^245, -E(288)^17-E(288)^209, E(288)^17, E(288)^209, E(72)^65, E(72)^41, -E(72)^41-E(72)^65, -E(72)^65, -E(72)^41, E(72)^41+E(72)^65, -E(72)^65, -E(72)^41, E(72)^41+E(72)^65, E(72)^65, E(72)^41, -E(72)^41-E(72)^65, E(72)^11, E(72)^59, -E(72)^11-E(72)^59, -E(72)^11, -E(72)^59, E(72)^11+E(72)^59, -E(72)^11, -E(72)^59, E(72)^11+E(72)^59, E(72)^11, E(72)^59, -E(72)^11-E(72)^59, E(288)^17+E(288)^209, -E(288)^209, -E(288)^17, E(288)^53+E(288)^245, -E(288)^245, -E(288)^53, -E(288)^137-E(288)^233, E(288)^137, E(288)^233, -E(288)^173-E(288)^269, E(288)^173, E(288)^269, E(288)^173+E(288)^269, -E(288)^173, -E(288)^269, E(288)^137+E(288)^233, -E(288)^137, -E(288)^233, -E(288)^53-E(288)^245, E(288)^245, E(288)^53, -E(288)^17-E(288)^209, E(288)^209, E(288)^17 ];
return rec(S := S, T := T);;