local S, T;
S := [[ 1/44, 1/44, 1/44, 1/44, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/4, 1/4, 1/4, 1/4, 1/44, 1/44, 1/44, 1/44, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/4, 1/4, 1/4, 1/4, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 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-1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, 1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22, -1/22 ], [ 1/22, 1/22, 1/22, 1/22, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 0, 0, 0, 0, 1/22, 1/22, 1/22, 1/22, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/11, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 1/22*E(11)^4+1/22*E(11)^7, 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1/22*E(121)^10+1/22*E(121)^12+1/22*E(121)^21+1/22*E(121)^23+1/22*E(121)^32+1/22*E(121)^34+1/22*E(121)^43+1/22*E(121)^45+1/22*E(121)^54+1/22*E(121)^56+1/22*E(121)^65+1/22*E(121)^67+1/22*E(121)^76+1/22*E(121)^78+1/22*E(121)^87+1/22*E(121)^89+1/22*E(121)^98+1/22*E(121)^100+1/22*E(121)^109+1/22*E(121)^111, -1/22*E(121)^34-1/22*E(121)^87, -1/22*E(121)^54-1/22*E(121)^67, -1/22*E(121)^21-1/22*E(121)^100, -1/22*E(121)^12-1/22*E(121)^109, -1/22*E(121)^45-1/22*E(121)^76, -1/22*E(121)^43-1/22*E(121)^78, -1/22*E(121)^10-1/22*E(121)^111, 1/22*E(121)^23+1/22*E(121)^98, 1/22*E(121)^56+1/22*E(121)^65, 1/22*E(121)^32+1/22*E(121)^89, -1/22*E(121)^10-1/22*E(121)^12-1/22*E(121)^21-1/22*E(121)^23-1/22*E(121)^32-1/22*E(121)^34-1/22*E(121)^43-1/22*E(121)^45-1/22*E(121)^54-1/22*E(121)^56-1/22*E(121)^65-1/22*E(121)^67-1/22*E(121)^76-1/22*E(121)^78-1/22*E(121)^87-1/22*E(121)^89-1/22*E(121)^98-1/22*E(121)^100-1/22*E(121)^109-1/22*E(121)^111, 1/22*E(121)^34+1/22*E(121)^87, 1/22*E(121)^54+1/22*E(121)^67, 1/22*E(121)^21+1/22*E(121)^100, 1/22*E(121)^12+1/22*E(121)^109, 1/22*E(121)^45+1/22*E(121)^76, 1/22*E(121)^43+1/22*E(121)^78, 1/22*E(121)^10+1/22*E(121)^111, -1/22*E(121)^34-1/22*E(121)^87, -1/22*E(121)^54-1/22*E(121)^67, -1/22*E(121)^21-1/22*E(121)^100, -1/22*E(121)^12-1/22*E(121)^109, -1/22*E(121)^45-1/22*E(121)^76, -1/22*E(121)^43-1/22*E(121)^78, -1/22*E(121)^10-1/22*E(121)^111, -1/22*E(121)^23-1/22*E(121)^98, -1/22*E(121)^56-1/22*E(121)^65, -1/22*E(121)^32-1/22*E(121)^89, 1/22*E(121)^10+1/22*E(121)^12+1/22*E(121)^21+1/22*E(121)^23+1/22*E(121)^32+1/22*E(121)^34+1/22*E(121)^43+1/22*E(121)^45+1/22*E(121)^54+1/22*E(121)^56+1/22*E(121)^65+1/22*E(121)^67+1/22*E(121)^76+1/22*E(121)^78+1/22*E(121)^87+1/22*E(121)^89+1/22*E(121)^98+1/22*E(121)^100+1/22*E(121)^109+1/22*E(121)^111, 1/22*E(121)^34+1/22*E(121)^87, 1/22*E(121)^54+1/22*E(121)^67, 1/22*E(121)^21+1/22*E(121)^100, 1/22*E(121)^12+1/22*E(121)^109, 1/22*E(121)^45+1/22*E(121)^76, 1/22*E(121)^43+1/22*E(121)^78, 1/22*E(121)^10+1/22*E(121)^111, 1/22*E(121)^23+1/22*E(121)^98, 1/22*E(121)^56+1/22*E(121)^65, 1/22*E(121)^32+1/22*E(121)^89, -1/22*E(121)^10-1/22*E(121)^12-1/22*E(121)^21-1/22*E(121)^23-1/22*E(121)^32-1/22*E(121)^34-1/22*E(121)^43-1/22*E(121)^45-1/22*E(121)^54-1/22*E(121)^56-1/22*E(121)^65-1/22*E(121)^67-1/22*E(121)^76-1/22*E(121)^78-1/22*E(121)^87-1/22*E(121)^89-1/22*E(121)^98-1/22*E(121)^100-1/22*E(121)^109-1/22*E(121)^111 ]];
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, E(121)^86, E(121)^31, E(121)^97, E(121)^42, E(121)^108, E(121)^53, -E(121)^9-E(121)^20-E(121)^31-E(121)^42-E(121)^53-E(121)^64-E(121)^75-E(121)^86-E(121)^97-E(121)^108, E(121)^64, E(121)^9, E(121)^75, E(121)^20, E(121)^86, E(121)^31, E(121)^97, E(121)^42, E(121)^108, E(121)^53, -E(121)^9-E(121)^20-E(121)^31-E(121)^42-E(121)^53-E(121)^64-E(121)^75-E(121)^86-E(121)^97-E(121)^108, E(121)^64, E(121)^9, E(121)^75, E(121)^20, -E(4), E(4), E(4), -E(4), E(121)^108, E(121)^53, -E(121)^9-E(121)^20-E(121)^31-E(121)^42-E(121)^53-E(121)^64-E(121)^75-E(121)^86-E(121)^97-E(121)^108, E(121)^64, E(121)^9, E(121)^75, E(121)^20, E(121)^86, E(121)^31, E(121)^97, E(121)^42, -E(121)^108, -E(121)^53, E(121)^9+E(121)^20+E(121)^31+E(121)^42+E(121)^53+E(121)^64+E(121)^75+E(121)^86+E(121)^97+E(121)^108, -E(121)^64, -E(121)^9, -E(121)^75, -E(121)^20, -E(121)^86, -E(121)^31, -E(121)^97, -E(121)^42, E(121)^102, E(121)^113, -E(121)^14-E(121)^25-E(121)^36-E(121)^47-E(121)^58-E(121)^69-E(121)^80-E(121)^91-E(121)^102-E(121)^113, E(121)^14, E(121)^25, E(121)^36, E(121)^47, E(121)^58, E(121)^69, E(121)^80, E(121)^91, E(121)^102, E(121)^113, -E(121)^14-E(121)^25-E(121)^36-E(121)^47-E(121)^58-E(121)^69-E(121)^80-E(121)^91-E(121)^102-E(121)^113, E(121)^14, E(121)^25, E(121)^36, E(121)^47, E(121)^58, E(121)^69, E(121)^80, E(121)^91, -E(121)^25, -E(121)^36, -E(121)^47, -E(121)^58, -E(121)^69, -E(121)^80, -E(121)^91, -E(121)^102, -E(121)^113, E(121)^14+E(121)^25+E(121)^36+E(121)^47+E(121)^58+E(121)^69+E(121)^80+E(121)^91+E(121)^102+E(121)^113, -E(121)^14, E(121)^25, E(121)^36, E(121)^47, E(121)^58, E(121)^69, E(121)^80, E(121)^91, E(121)^102, E(121)^113, -E(121)^14-E(121)^25-E(121)^36-E(121)^47-E(121)^58-E(121)^69-E(121)^80-E(121)^91-E(121)^102-E(121)^113, E(121)^14, E(121)^92, E(121)^48, -E(121)^15-E(121)^26-E(121)^37-E(121)^48-E(121)^59-E(121)^70-E(121)^81-E(121)^92-E(121)^103-E(121)^114, E(121)^81, E(121)^37, E(121)^114, E(121)^70, E(121)^26, E(121)^103, E(121)^59, E(121)^15, E(121)^92, E(121)^48, -E(121)^15-E(121)^26-E(121)^37-E(121)^48-E(121)^59-E(121)^70-E(121)^81-E(121)^92-E(121)^103-E(121)^114, E(121)^81, E(121)^37, E(121)^114, E(121)^70, E(121)^26, E(121)^103, E(121)^59, E(121)^15, E(121)^37, E(121)^114, E(121)^70, E(121)^26, E(121)^103, E(121)^59, E(121)^15, E(121)^92, E(121)^48, -E(121)^15-E(121)^26-E(121)^37-E(121)^48-E(121)^59-E(121)^70-E(121)^81-E(121)^92-E(121)^103-E(121)^114, E(121)^81, -E(121)^37, -E(121)^114, -E(121)^70, -E(121)^26, -E(121)^103, -E(121)^59, -E(121)^15, -E(121)^92, -E(121)^48, E(121)^15+E(121)^26+E(121)^37+E(121)^48+E(121)^59+E(121)^70+E(121)^81+E(121)^92+E(121)^103+E(121)^114, -E(121)^81, -E(121)^12-E(121)^23-E(121)^34-E(121)^45-E(121)^56-E(121)^67-E(121)^78-E(121)^89-E(121)^100-E(121)^111, E(121)^23, E(121)^45, E(121)^67, E(121)^89, E(121)^111, E(121)^12, E(121)^34, E(121)^56, E(121)^78, E(121)^100, -E(121)^12-E(121)^23-E(121)^34-E(121)^45-E(121)^56-E(121)^67-E(121)^78-E(121)^89-E(121)^100-E(121)^111, E(121)^23, E(121)^45, E(121)^67, E(121)^89, E(121)^111, E(121)^12, E(121)^34, E(121)^56, E(121)^78, E(121)^100, -E(121)^89, -E(121)^111, -E(121)^12, -E(121)^34, -E(121)^56, -E(121)^78, -E(121)^100, E(121)^12+E(121)^23+E(121)^34+E(121)^45+E(121)^56+E(121)^67+E(121)^78+E(121)^89+E(121)^100+E(121)^111, -E(121)^23, -E(121)^45, -E(121)^67, E(121)^89, E(121)^111, E(121)^12, E(121)^34, E(121)^56, E(121)^78, E(121)^100, -E(121)^12-E(121)^23-E(121)^34-E(121)^45-E(121)^56-E(121)^67-E(121)^78-E(121)^89-E(121)^100-E(121)^111, E(121)^23, E(121)^45, E(121)^67, E(121)^38, -E(121)^16-E(121)^27-E(121)^38-E(121)^49-E(121)^60-E(121)^71-E(121)^82-E(121)^93-E(121)^104-E(121)^115, E(121)^93, E(121)^60, E(121)^27, E(121)^115, E(121)^82, E(121)^49, E(121)^16, E(121)^104, E(121)^71, E(121)^38, -E(121)^16-E(121)^27-E(121)^38-E(121)^49-E(121)^60-E(121)^71-E(121)^82-E(121)^93-E(121)^104-E(121)^115, E(121)^93, E(121)^60, E(121)^27, E(121)^115, E(121)^82, E(121)^49, E(121)^16, E(121)^104, E(121)^71, E(121)^27, E(121)^115, E(121)^82, E(121)^49, E(121)^16, E(121)^104, E(121)^71, E(121)^38, -E(121)^16-E(121)^27-E(121)^38-E(121)^49-E(121)^60-E(121)^71-E(121)^82-E(121)^93-E(121)^104-E(121)^115, E(121)^93, E(121)^60, -E(121)^27, -E(121)^115, -E(121)^82, -E(121)^49, -E(121)^16, -E(121)^104, -E(121)^71, -E(121)^38, E(121)^16+E(121)^27+E(121)^38+E(121)^49+E(121)^60+E(121)^71+E(121)^82+E(121)^93+E(121)^104+E(121)^115, -E(121)^93, -E(121)^60 ];
return rec(S := S, T := T);;