local S, T;
S := [[ 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, 1/4, 1/4, 1/4, 1/4, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 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, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/4, 1/4, 1/4, 1/4, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 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, 1/48, 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, 1/4, 1/4, 1/4, 1/4, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, -1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 1/24, 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(288)^163-1/24*E(288)^173+1/24*E(288)^259-1/24*E(288)^269, -1/24*E(288)^173+1/24*E(288)^259, 1/24*E(288)^173-1/24*E(288)^259, 1/24*E(288)^17-1/24*E(288)^127, -1/24*E(288)^17+1/24*E(288)^127, -1/24*E(288)^17+1/24*E(288)^127-1/24*E(288)^209+1/24*E(288)^223, 1/24*E(288)^17-1/24*E(288)^127+1/24*E(288)^209-1/24*E(288)^223, 1/24*E(288)^209-1/24*E(288)^223, -1/24*E(288)^209+1/24*E(288)^223, -1/24*E(288)^199+1/24*E(288)^233, 1/24*E(288)^199-1/24*E(288)^233, 1/24*E(288)^7-1/24*E(288)^137+1/24*E(288)^199-1/24*E(288)^233, -1/24*E(288)^7+1/24*E(288)^137-1/24*E(288)^199+1/24*E(288)^233, -1/24*E(288)^7+1/24*E(288)^137, 1/24*E(288)^7-1/24*E(288)^137, -1/24*E(144)^31+1/24*E(144)^41+1/24*E(144)^89-1/24*E(144)^127, 1/24*E(144)^31-1/24*E(144)^41-1/24*E(144)^89+1/24*E(144)^127, 1/24*E(144)^31-1/24*E(144)^41, -1/24*E(144)^31+1/24*E(144)^41, -1/24*E(144)^89+1/24*E(144)^127, 1/24*E(144)^89-1/24*E(144)^127, 1/24*E(144)^77-1/24*E(144)^91+1/24*E(144)^125-1/24*E(144)^139, -1/24*E(144)^77+1/24*E(144)^91-1/24*E(144)^125+1/24*E(144)^139, -1/24*E(144)^77+1/24*E(144)^139, 1/24*E(144)^77-1/24*E(144)^139, 1/24*E(144)^91-1/24*E(144)^125, -1/24*E(144)^91+1/24*E(144)^125, 1/24*E(144)^13-1/24*E(144)^59-1/24*E(144)^107+1/24*E(144)^109, -1/24*E(144)^13+1/24*E(144)^59+1/24*E(144)^107-1/24*E(144)^109, -1/24*E(144)^13+1/24*E(144)^59, 1/24*E(144)^13-1/24*E(144)^59, 1/24*E(144)^107-1/24*E(144)^109, -1/24*E(144)^107+1/24*E(144)^109, 1/24*E(144)^73-1/24*E(144)^95+1/24*E(144)^121-1/24*E(144)^143, -1/24*E(144)^73+1/24*E(144)^95-1/24*E(144)^121+1/24*E(144)^143, 1/24*E(144)^95-1/24*E(144)^121, -1/24*E(144)^95+1/24*E(144)^121, -1/24*E(144)^73+1/24*E(144)^143, 1/24*E(144)^73-1/24*E(144)^143, 1/24*E(288)^145-1/24*E(288)^287, -1/24*E(288)^145+1/24*E(288)^287, -1/24*E(288)^145+1/24*E(288)^191-1/24*E(288)^241+1/24*E(288)^287, 1/24*E(288)^145-1/24*E(288)^191+1/24*E(288)^241-1/24*E(288)^287, -1/24*E(288)^191+1/24*E(288)^241, 1/24*E(288)^191-1/24*E(288)^241, 1/24*E(288)^71-1/24*E(288)^73, -1/24*E(288)^71+1/24*E(288)^73, -1/24*E(288)^71+1/24*E(288)^73+1/24*E(288)^169-1/24*E(288)^263, 1/24*E(288)^71-1/24*E(288)^73-1/24*E(288)^169+1/24*E(288)^263, -1/24*E(288)^169+1/24*E(288)^263, 1/24*E(288)^169-1/24*E(288)^263, -1/24*E(288)^181+1/24*E(288)^251, 1/24*E(288)^181-1/24*E(288)^251, -1/24*E(288)^155+1/24*E(288)^181-1/24*E(288)^251+1/24*E(288)^277, 1/24*E(288)^155-1/24*E(288)^181+1/24*E(288)^251-1/24*E(288)^277, 1/24*E(288)^155-1/24*E(288)^277, -1/24*E(288)^155+1/24*E(288)^277, -1/24*E(288)^35+1/24*E(288)^109, 1/24*E(288)^35-1/24*E(288)^109, 1/24*E(288)^35-1/24*E(288)^109-1/24*E(288)^205+1/24*E(288)^227, -1/24*E(288)^35+1/24*E(288)^109+1/24*E(288)^205-1/24*E(288)^227, 1/24*E(288)^205-1/24*E(288)^227, -1/24*E(288)^205+1/24*E(288)^227 ]];
T := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -E(64)^19, E(64)^19, E(64)^3, -E(64)^3, -E(64)^27, E(64)^27, E(64)^11, -E(64)^11, -E(64)^19, E(64)^19, E(64)^3, -E(64)^3, -E(64)^27, E(64)^27, E(64)^11, -E(64)^11, -E(64)^19, E(64)^19, E(64)^3, -E(64)^3, -E(64)^27, E(64)^27, E(64)^11, -E(64)^11, -E(16)^7, -E(16)^7, E(16)^7, E(16)^7, E(16)^3, E(16)^3, -E(16)^3, -E(16)^3, -E(16)^7, -E(16)^7, E(16)^7, E(16)^7, E(16)^3, E(16)^3, -E(16)^3, -E(16)^3, -E(16)^7, -E(16)^7, E(16)^7, E(16)^7, E(16)^3, E(16)^3, -E(16)^3, -E(16)^3, 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)^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(9)^2, -E(9)^2-E(9)^5, -1, -1, 1, 1, -E(64)^11, E(64)^11, -E(64)^27, E(64)^27, E(64)^19, -E(64)^19, -E(64)^3, E(64)^3, -E(64)^11, E(64)^11, -E(64)^27, E(64)^27, E(64)^19, -E(64)^19, -E(64)^3, E(64)^3, -E(64)^11, E(64)^11, -E(64)^27, E(64)^27, E(64)^19, -E(64)^19, -E(64)^3, E(64)^3, -E(576)^491, E(576)^491, E(576)^299+E(576)^491, -E(576)^299-E(576)^491, -E(576)^299, E(576)^299, E(576)^347, -E(576)^347, -E(576)^155-E(576)^347, E(576)^155+E(576)^347, E(576)^155, -E(576)^155, -E(576)^563, E(576)^563, E(576)^371+E(576)^563, -E(576)^371-E(576)^563, -E(576)^371, E(576)^371, E(576)^419, -E(576)^419, -E(576)^227-E(576)^419, E(576)^227+E(576)^419, E(576)^227, -E(576)^227, -E(144)^59-E(144)^107, -E(144)^59-E(144)^107, E(144)^107, E(144)^107, E(144)^59, E(144)^59, E(144)^59+E(144)^107, E(144)^59+E(144)^107, -E(144)^107, -E(144)^107, -E(144)^59, -E(144)^59, -E(144)^95-E(144)^143, -E(144)^95-E(144)^143, E(144)^143, E(144)^143, E(144)^95, E(144)^95, E(144)^95+E(144)^143, E(144)^95+E(144)^143, -E(144)^143, -E(144)^143, -E(144)^95, -E(144)^95, E(36)^17, E(36)^17, E(36)^29, E(36)^29, -E(36)^17-E(36)^29, -E(36)^17-E(36)^29, E(36)^17, E(36)^17, E(36)^29, E(36)^29, -E(36)^17-E(36)^29, -E(36)^17-E(36)^29, -E(36)^17, -E(36)^17, -E(36)^29, -E(36)^29, E(36)^17+E(36)^29, E(36)^17+E(36)^29, -E(36)^17, -E(36)^17, -E(36)^29, -E(36)^29, E(36)^17+E(36)^29, E(36)^17+E(36)^29, E(576)^419, -E(576)^419, -E(576)^227-E(576)^419, E(576)^227+E(576)^419, E(576)^227, -E(576)^227, -E(576)^563, E(576)^563, E(576)^371+E(576)^563, -E(576)^371-E(576)^563, -E(576)^371, E(576)^371, E(576)^347, -E(576)^347, -E(576)^155-E(576)^347, E(576)^155+E(576)^347, E(576)^155, -E(576)^155, -E(576)^491, E(576)^491, E(576)^299+E(576)^491, -E(576)^299-E(576)^491, -E(576)^299, E(576)^299, -E(576)^563, E(576)^563, E(576)^371+E(576)^563, -E(576)^371-E(576)^563, -E(576)^371, E(576)^371, E(576)^419, -E(576)^419, -E(576)^227-E(576)^419, E(576)^227+E(576)^419, E(576)^227, -E(576)^227, -E(576)^347, E(576)^347, E(576)^155+E(576)^347, -E(576)^155-E(576)^347, -E(576)^155, E(576)^155, -E(576)^491, E(576)^491, E(576)^299+E(576)^491, -E(576)^299-E(576)^491, -E(576)^299, E(576)^299, -E(144)^95-E(144)^143, -E(144)^95-E(144)^143, E(144)^143, E(144)^143, E(144)^95, E(144)^95, E(144)^95+E(144)^143, E(144)^95+E(144)^143, -E(144)^143, -E(144)^143, -E(144)^95, -E(144)^95, E(144)^59+E(144)^107, E(144)^59+E(144)^107, -E(144)^107, -E(144)^107, -E(144)^59, -E(144)^59, -E(144)^59-E(144)^107, -E(144)^59-E(144)^107, E(144)^107, E(144)^107, E(144)^59, E(144)^59, -E(576)^347, E(576)^347, E(576)^155+E(576)^347, -E(576)^155-E(576)^347, -E(576)^155, E(576)^155, E(576)^491, -E(576)^491, -E(576)^299-E(576)^491, E(576)^299+E(576)^491, E(576)^299, -E(576)^299, -E(576)^563, E(576)^563, E(576)^371+E(576)^563, -E(576)^371-E(576)^563, -E(576)^371, E(576)^371, -E(576)^419, E(576)^419, E(576)^227+E(576)^419, -E(576)^227-E(576)^419, -E(576)^227, E(576)^227 ];
return rec(S := S, T := T);;