local S, T;
S := [[ 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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 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, 1/48, 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, 1/48, 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, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 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, 1/48, 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, 1/24, 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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 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 ], [ 1/48, 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, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -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, 1/48, 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, 1/48, 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, 1/24, 1/24, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -1/8, -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, 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 ], [ 1/48, 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, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, 1/8, -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, 1/48, 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, 1/48, 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, 1/24, 1/24, -1/8, 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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, 0, 0, 0, 0, 0, 0, 0, 0, 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(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(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(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)+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(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(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(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)^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(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 ]];
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, E(16), -E(16)^5, E(16)^5, -E(16), E(16), -E(16)^5, E(16)^5, -E(16), E(16), -E(16)^5, E(16)^5, -E(16), E(16), -E(16)^5, E(16)^5, -E(16), E(16), -E(16)^5, E(16)^5, -E(16), E(16), -E(16)^5, E(16)^5, -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), 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -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(16), E(16)^5, -E(16)^5, E(16), E(16), -E(16)^5, E(16)^5, -E(16), -E(4), -E(4), E(4), E(4), E(4), E(4), -E(4), -E(4), -E(16), -E(16)^5, E(16)^5, E(16), -E(16), -E(16)^5, E(16)^5, E(16), -E(16), -E(16)^5, E(16)^5, E(16), -E(16), -E(16)^5, E(16)^5, E(16), -E(16), -E(16)^5, E(16)^5, E(16), -E(16), -E(16)^5, E(16)^5, E(16), -E(144)^109, E(144)^13+E(144)^109, -E(144)^13, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, E(144)^109, -E(144)^13-E(144)^109, E(144)^13, -E(144)^109, E(144)^13+E(144)^109, -E(144)^13, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, E(144)^109, -E(144)^13-E(144)^109, E(144)^13, -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(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(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(16), -E(16)^5, E(16)^5, E(16), -E(16), -E(16)^5, E(16)^5, E(16), -E(144)^109, E(144)^13+E(144)^109, -E(144)^13, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, E(144)^109, -E(144)^13-E(144)^109, E(144)^13, E(144)^109, -E(144)^13-E(144)^109, E(144)^13, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, -E(144)^109, E(144)^13+E(144)^109, -E(144)^13, E(144)^109, -E(144)^13-E(144)^109, E(144)^13, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, -E(144)^109, E(144)^13+E(144)^109, -E(144)^13, -E(144)^109, E(144)^13+E(144)^109, -E(144)^13, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, E(144)^109, -E(144)^13-E(144)^109, E(144)^13, -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(144)^109, E(144)^13+E(144)^109, -E(144)^13, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, E(144)^109, -E(144)^13-E(144)^109, E(144)^13, -E(144)^109, E(144)^13+E(144)^109, -E(144)^13, -E(144)^73, E(144)^73+E(144)^121, -E(144)^121, E(144)^73, -E(144)^73-E(144)^121, E(144)^121, E(144)^109, -E(144)^13-E(144)^109, E(144)^13 ];
return rec(S := S, T := T);;