local S, T;
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-1/36*E(216)^161, -1/36*E(216)^137, -1/36*E(216)^209, -1/36*E(216)^17, -1/36*E(216)^41, 1/36*E(216)^137+1/36*E(216)^209, 1/36*E(216)^17+1/36*E(216)^161, 1/36*E(216)^41+1/36*E(216)^185, 1/36*E(216)^17, 1/36*E(216)^209, 1/36*E(216)^185, 1/36*E(216)^41, -1/36*E(216)^137-1/36*E(216)^209, -1/36*E(216)^17-1/36*E(216)^161, -1/36*E(216)^41-1/36*E(216)^185, 1/36*E(216)^137, 1/36*E(216)^161, 1/36*E(216)^179, 1/36*E(216)^155, 1/36*E(216)^131, 1/36*E(216)^203, -1/36*E(216)^83-1/36*E(216)^155, -1/36*E(216)^107-1/36*E(216)^179, -1/36*E(216)^131-1/36*E(216)^203, 1/36*E(216)^83, 1/36*E(216)^107, -1/36*E(216)^179, -1/36*E(216)^155, -1/36*E(216)^131, -1/36*E(216)^203, 1/36*E(216)^83+1/36*E(216)^155, 1/36*E(216)^107+1/36*E(216)^179, 1/36*E(216)^131+1/36*E(216)^203, -1/36*E(216)^83, -1/36*E(216)^107, -1/36*E(216)^17, -1/36*E(216)^209, -1/36*E(216)^185, -1/36*E(216)^41, 1/36*E(216)^137+1/36*E(216)^209, 1/36*E(216)^17+1/36*E(216)^161, 1/36*E(216)^41+1/36*E(216)^185, -1/36*E(216)^137, -1/36*E(216)^161, -1/36*E(72)^59, -1/36*E(72)^41, 1/36*E(72)^41, 1/36*E(72)^59, 1/36*E(72)^11+1/36*E(72)^59, 1/36*E(72)^41+1/36*E(72)^65, -1/36*E(72)^41-1/36*E(72)^65, -1/36*E(72)^11-1/36*E(72)^59, -1/36*E(72)^11, -1/36*E(72)^65, 1/36*E(72)^65, 1/36*E(72)^11, -1/36*E(24)^17, -1/36*E(24), -1/36*E(8)^3, -1/36*E(24)^11, -1/36*E(24)^19, -1/36*E(8), 1/36*E(24)^11, 1/36*E(24)^19, 1/36*E(8), 1/36*E(24)^17, 1/36*E(24), 1/36*E(8)^3, -1/36*E(72)^67, 1/36*E(72)^43+1/36*E(72)^67, -1/36*E(72)^43, -1/36*E(72)^49, 1/36*E(72)^25+1/36*E(72)^49, -1/36*E(72)^25, 1/36*E(72)^49, -1/36*E(72)^25-1/36*E(72)^49, 1/36*E(72)^25, 1/36*E(72)^67, -1/36*E(72)^43-1/36*E(72)^67, 1/36*E(72)^43, -1/36*E(27)^11, -1/36*E(27)^5, 1/36*E(27)^8+1/36*E(27)^17, -1/36*E(27)^17, 1/36*E(27)^5+1/36*E(27)^14, 1/36*E(27)^11+1/36*E(27)^20, -1/36*E(27)^8, -1/36*E(27)^14, -1/36*E(27)^20, 1/36*E(27)^11, 1/36*E(27)^5, -1/36*E(27)^8-1/36*E(27)^17, 1/36*E(27)^17, -1/36*E(27)^5-1/36*E(27)^14, -1/36*E(27)^11-1/36*E(27)^20, 1/36*E(27)^8, 1/36*E(27)^14, 1/36*E(27)^20, -1/36*E(108)^71, -1/36*E(108)^47, 1/36*E(108)^59+1/36*E(108)^95, -1/36*E(108)^95, 1/36*E(108)^47+1/36*E(108)^83, 1/36*E(108)^71+1/36*E(108)^107, -1/36*E(108)^59, -1/36*E(108)^83, -1/36*E(108)^107, 1/36*E(108)^71, 1/36*E(108)^47, -1/36*E(108)^59-1/36*E(108)^95, 1/36*E(108)^95, -1/36*E(108)^47-1/36*E(108)^83, -1/36*E(108)^71-1/36*E(108)^107, 1/36*E(108)^59, 1/36*E(108)^83, 1/36*E(108)^107, -1/36*E(108)^71, 1/36*E(108)^59+1/36*E(108)^95, -1/36*E(108)^83, 1/36*E(108)^47+1/36*E(108)^83, -1/36*E(108)^59, -1/36*E(108)^107, -1/36*E(108)^47, -1/36*E(108)^95, 1/36*E(108)^71+1/36*E(108)^107, 1/36*E(108)^71, -1/36*E(108)^59-1/36*E(108)^95, 1/36*E(108)^83, -1/36*E(108)^47-1/36*E(108)^83, 1/36*E(108)^59, 1/36*E(108)^107, 1/36*E(108)^47, 1/36*E(108)^95, -1/36*E(108)^71-1/36*E(108)^107, 1/36*E(27)^11, -1/36*E(27)^8-1/36*E(27)^17, 1/36*E(27)^14, -1/36*E(27)^5-1/36*E(27)^14, 1/36*E(27)^8, 1/36*E(27)^20, 1/36*E(27)^5, 1/36*E(27)^17, -1/36*E(27)^11-1/36*E(27)^20, -1/36*E(27)^11, 1/36*E(27)^8+1/36*E(27)^17, -1/36*E(27)^14, 1/36*E(27)^5+1/36*E(27)^14, -1/36*E(27)^8, -1/36*E(27)^20, -1/36*E(27)^5, -1/36*E(27)^17, 1/36*E(27)^11+1/36*E(27)^20, 1/36*E(27)^7, -1/36*E(27)^10-1/36*E(27)^19, 1/36*E(27)^22, 1/36*E(27)^13, 1/36*E(27)^19, -1/36*E(27)^7-1/36*E(27)^16, -1/36*E(27)^13-1/36*E(27)^22, 1/36*E(27)^10, 1/36*E(27)^16, -1/36*E(27)^7, 1/36*E(27)^10+1/36*E(27)^19, -1/36*E(27)^22, -1/36*E(27)^13, -1/36*E(27)^19, 1/36*E(27)^7+1/36*E(27)^16, 1/36*E(27)^13+1/36*E(27)^22, -1/36*E(27)^10, -1/36*E(27)^16, 1/36*E(108)^55, -1/36*E(108)^67-1/36*E(108)^103, 1/36*E(108)^7, 1/36*E(108)^79, 1/36*E(108)^103, -1/36*E(108)^55-1/36*E(108)^91, -1/36*E(108)^7-1/36*E(108)^79, 1/36*E(108)^67, 1/36*E(108)^91, -1/36*E(108)^55, 1/36*E(108)^67+1/36*E(108)^103, -1/36*E(108)^7, -1/36*E(108)^79, -1/36*E(108)^103, 1/36*E(108)^55+1/36*E(108)^91, 1/36*E(108)^7+1/36*E(108)^79, -1/36*E(108)^67, -1/36*E(108)^91, -1/36*E(216)^115, -1/36*E(216)^91, -1/36*E(216)^67, -1/36*E(216)^139, -1/36*E(216)^163, -1/36*E(216)^187, 1/36*E(216)^67+1/36*E(216)^139, 1/36*E(216)^91+1/36*E(216)^163, 1/36*E(216)^115+1/36*E(216)^187, 1/36*E(216)^169, 1/36*E(216)^145, 1/36*E(216)^121, 1/36*E(216)^193, 1/36*E(216), 1/36*E(216)^25, -1/36*E(216)^121-1/36*E(216)^193, -1/36*E(216)-1/36*E(216)^145, -1/36*E(216)^25-1/36*E(216)^169, -1/36*E(216)^169, -1/36*E(216)^145, -1/36*E(216)^121, -1/36*E(216)^193, -1/36*E(216), -1/36*E(216)^25, 1/36*E(216)^121+1/36*E(216)^193, 1/36*E(216)+1/36*E(216)^145, 1/36*E(216)^25+1/36*E(216)^169, 1/36*E(216)^115, 1/36*E(216)^91, 1/36*E(216)^67, 1/36*E(216)^139, 1/36*E(216)^163, 1/36*E(216)^187, -1/36*E(216)^67-1/36*E(216)^139, -1/36*E(216)^91-1/36*E(216)^163, -1/36*E(216)^115-1/36*E(216)^187, -1/36*E(216)^163, -1/36*E(216)^139, -1/36*E(216)^115, -1/36*E(216)^187, 1/36*E(216)^67+1/36*E(216)^139, 1/36*E(216)^91+1/36*E(216)^163, 1/36*E(216)^115+1/36*E(216)^187, -1/36*E(216)^67, -1/36*E(216)^91, 1/36*E(216), 1/36*E(216)^193, 1/36*E(216)^169, 1/36*E(216)^25, -1/36*E(216)^121-1/36*E(216)^193, -1/36*E(216)-1/36*E(216)^145, -1/36*E(216)^25-1/36*E(216)^169, 1/36*E(216)^121, 1/36*E(216)^145, -1/36*E(216), -1/36*E(216)^193, -1/36*E(216)^169, -1/36*E(216)^25, 1/36*E(216)^121+1/36*E(216)^193, 1/36*E(216)+1/36*E(216)^145, 1/36*E(216)^25+1/36*E(216)^169, -1/36*E(216)^121, -1/36*E(216)^145, 1/36*E(216)^163, 1/36*E(216)^139, 1/36*E(216)^115, 1/36*E(216)^187, -1/36*E(216)^67-1/36*E(216)^139, -1/36*E(216)^91-1/36*E(216)^163, -1/36*E(216)^115-1/36*E(216)^187, 1/36*E(216)^67, 1/36*E(216)^91, 1/36*E(216)^179, 1/36*E(216)^155, 1/36*E(216)^131, 1/36*E(216)^203, -1/36*E(216)^83-1/36*E(216)^155, -1/36*E(216)^107-1/36*E(216)^179, -1/36*E(216)^131-1/36*E(216)^203, 1/36*E(216)^83, 1/36*E(216)^107, -1/36*E(216)^17, -1/36*E(216)^209, -1/36*E(216)^185, -1/36*E(216)^41, 1/36*E(216)^137+1/36*E(216)^209, 1/36*E(216)^17+1/36*E(216)^161, 1/36*E(216)^41+1/36*E(216)^185, -1/36*E(216)^137, -1/36*E(216)^161, 1/36*E(216)^17, 1/36*E(216)^209, 1/36*E(216)^185, 1/36*E(216)^41, -1/36*E(216)^137-1/36*E(216)^209, -1/36*E(216)^17-1/36*E(216)^161, -1/36*E(216)^41-1/36*E(216)^185, 1/36*E(216)^137, 1/36*E(216)^161, -1/36*E(216)^179, -1/36*E(216)^155, -1/36*E(216)^131, -1/36*E(216)^203, 1/36*E(216)^83+1/36*E(216)^155, 1/36*E(216)^107+1/36*E(216)^179, 1/36*E(216)^131+1/36*E(216)^203, -1/36*E(216)^83, -1/36*E(216)^107, 1/36*E(108)^59, -1/36*E(108)^71-1/36*E(108)^107, -1/36*E(108)^47-1/36*E(108)^83, 1/36*E(108)^83, 1/36*E(108)^107, -1/36*E(108)^59-1/36*E(108)^95, 1/36*E(108)^47, 1/36*E(108)^71, 1/36*E(108)^95, -1/36*E(108)^59, 1/36*E(108)^71+1/36*E(108)^107, 1/36*E(108)^47+1/36*E(108)^83, -1/36*E(108)^83, -1/36*E(108)^107, 1/36*E(108)^59+1/36*E(108)^95, -1/36*E(108)^47, -1/36*E(108)^71, -1/36*E(108)^95, -1/36*E(27)^8, 1/36*E(27)^11+1/36*E(27)^20, 1/36*E(27)^5+1/36*E(27)^14, -1/36*E(27)^14, -1/36*E(27)^20, 1/36*E(27)^8+1/36*E(27)^17, -1/36*E(27)^5, -1/36*E(27)^11, -1/36*E(27)^17, 1/36*E(27)^8, -1/36*E(27)^11-1/36*E(27)^20, -1/36*E(27)^5-1/36*E(27)^14, 1/36*E(27)^14, 1/36*E(27)^20, -1/36*E(27)^8-1/36*E(27)^17, 1/36*E(27)^5, 1/36*E(27)^11, 1/36*E(27)^17, -1/36*E(216)-1/36*E(216)^145, -1/36*E(216)^121-1/36*E(216)^193, 1/36*E(216)^25, -1/36*E(216)^25-1/36*E(216)^169, 1/36*E(216)^121, 1/36*E(216)^145, 1/36*E(216)^169, 1/36*E(216)^193, 1/36*E(216), -1/36*E(216)^91-1/36*E(216)^163, -1/36*E(216)^67-1/36*E(216)^139, 1/36*E(216)^187, -1/36*E(216)^115-1/36*E(216)^187, 1/36*E(216)^67, 1/36*E(216)^91, 1/36*E(216)^115, 1/36*E(216)^139, 1/36*E(216)^163, 1/36*E(216)^91+1/36*E(216)^163, 1/36*E(216)^67+1/36*E(216)^139, -1/36*E(216)^187, 1/36*E(216)^115+1/36*E(216)^187, -1/36*E(216)^67, -1/36*E(216)^91, -1/36*E(216)^115, -1/36*E(216)^139, -1/36*E(216)^163, 1/36*E(216)+1/36*E(216)^145, 1/36*E(216)^121+1/36*E(216)^193, -1/36*E(216)^25, 1/36*E(216)^25+1/36*E(216)^169, -1/36*E(216)^121, -1/36*E(216)^145, -1/36*E(216)^169, -1/36*E(216)^193, -1/36*E(216) ]];
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, E(16)^5, E(16)^5, E(16)^5, E(16), E(16), E(16), -E(16), -E(16), -E(16), -E(16)^5, -E(16)^5, -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)^5, E(16)^5, E(16), E(16), E(16), -E(16), -E(16), -E(16), -E(16)^5, -E(16)^5, -E(16)^5, -E(27)^8-E(27)^17, E(27)^14, -E(27)^11-E(27)^20, E(27)^11, -E(27)^5-E(27)^14, E(27)^8, E(27)^20, E(27)^5, E(27)^17, -E(27)^8-E(27)^17, E(27)^14, -E(27)^11-E(27)^20, E(27)^11, -E(27)^5-E(27)^14, E(27)^8, E(27)^20, E(27)^5, E(27)^17, -E(27)^8-E(27)^17, E(27)^14, -E(27)^11-E(27)^20, E(27)^11, -E(27)^5-E(27)^14, E(27)^8, E(27)^20, E(27)^5, E(27)^17, -E(27)^8-E(27)^17, E(27)^14, -E(27)^11-E(27)^20, E(27)^11, -E(27)^5-E(27)^14, E(27)^8, E(27)^20, E(27)^5, E(27)^17, 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(4), 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-E(27)^8-E(27)^17, E(27)^14, -E(27)^11-E(27)^20, E(27)^17, E(27)^5, E(27)^20, -E(108)^107, -E(108)^47, -E(108)^95, -E(108)^59, E(108)^47+E(108)^83, -E(108)^71, E(108)^59+E(108)^95, -E(108)^83, E(108)^71+E(108)^107, -E(108)^107, -E(108)^47, -E(108)^95, -E(108)^59, E(108)^47+E(108)^83, -E(108)^71, E(108)^59+E(108)^95, -E(108)^83, E(108)^71+E(108)^107, E(108)^107, E(108)^47, E(108)^95, E(108)^59, -E(108)^47-E(108)^83, E(108)^71, -E(108)^59-E(108)^95, E(108)^83, -E(108)^71-E(108)^107, E(108)^107, E(108)^47, E(108)^95, E(108)^59, -E(108)^47-E(108)^83, E(108)^71, -E(108)^59-E(108)^95, E(108)^83, -E(108)^71-E(108)^107, -E(432)^311, E(432)^215+E(432)^359, -E(432)^263, E(432)^263+E(432)^407, -E(432)^359, E(432)^23+E(432)^311, -E(432)^407, -E(432)^215, -E(432)^23, E(432)^203, -E(432)^107-E(432)^251, E(432)^155, -E(432)^155-E(432)^299, E(432)^251, -E(432)^203-E(432)^347, E(432)^299, E(432)^107, E(432)^347, -E(432)^203, E(432)^107+E(432)^251, -E(432)^155, E(432)^155+E(432)^299, -E(432)^251, E(432)^203+E(432)^347, -E(432)^299, -E(432)^107, -E(432)^347, E(432)^311, -E(432)^215-E(432)^359, E(432)^263, -E(432)^263-E(432)^407, E(432)^359, -E(432)^23-E(432)^311, E(432)^407, E(432)^215, E(432)^23, E(432)^107, E(432)^155, E(432)^203, -E(432)^203-E(432)^347, -E(432)^155-E(432)^299, -E(432)^107-E(432)^251, E(432)^347, E(432)^299, E(432)^251, -E(432)^215, -E(432)^263, -E(432)^311, E(432)^23+E(432)^311, E(432)^263+E(432)^407, E(432)^215+E(432)^359, -E(432)^23, -E(432)^407, -E(432)^359, E(432)^215, E(432)^263, E(432)^311, -E(432)^23-E(432)^311, -E(432)^263-E(432)^407, -E(432)^215-E(432)^359, E(432)^23, E(432)^407, E(432)^359, -E(432)^107, -E(432)^155, -E(432)^203, E(432)^203+E(432)^347, E(432)^155+E(432)^299, E(432)^107+E(432)^251, -E(432)^347, -E(432)^299, -E(432)^251, -E(432)^215-E(432)^359, -E(432)^23-E(432)^311, E(432)^263, E(432)^407, E(432)^311, E(432)^215, -E(432)^263-E(432)^407, E(432)^23, E(432)^359, E(432)^107+E(432)^251, E(432)^203+E(432)^347, -E(432)^155, -E(432)^299, -E(432)^203, -E(432)^107, E(432)^155+E(432)^299, -E(432)^347, -E(432)^251, -E(432)^107-E(432)^251, -E(432)^203-E(432)^347, E(432)^155, E(432)^299, E(432)^203, E(432)^107, -E(432)^155-E(432)^299, E(432)^347, E(432)^251, E(432)^215+E(432)^359, E(432)^23+E(432)^311, -E(432)^263, -E(432)^407, -E(432)^311, -E(432)^215, E(432)^263+E(432)^407, -E(432)^23, -E(432)^359, E(108)^83, E(108)^107, -E(108)^59-E(108)^95, E(108)^59, -E(108)^71-E(108)^107, -E(108)^47-E(108)^83, E(108)^95, E(108)^71, E(108)^47, E(108)^83, E(108)^107, -E(108)^59-E(108)^95, E(108)^59, -E(108)^71-E(108)^107, -E(108)^47-E(108)^83, E(108)^95, E(108)^71, E(108)^47, -E(108)^83, -E(108)^107, E(108)^59+E(108)^95, -E(108)^59, E(108)^71+E(108)^107, E(108)^47+E(108)^83, -E(108)^95, -E(108)^71, -E(108)^47, -E(108)^83, -E(108)^107, E(108)^59+E(108)^95, -E(108)^59, E(108)^71+E(108)^107, E(108)^47+E(108)^83, -E(108)^95, -E(108)^71, -E(108)^47, -E(432)^107-E(432)^251, -E(432)^155-E(432)^299, -E(432)^203-E(432)^347, E(432)^347, E(432)^299, E(432)^251, E(432)^203, E(432)^155, E(432)^107, -E(432)^215-E(432)^359, -E(432)^263-E(432)^407, -E(432)^23-E(432)^311, E(432)^23, E(432)^407, E(432)^359, E(432)^311, E(432)^263, E(432)^215, E(432)^215+E(432)^359, E(432)^263+E(432)^407, E(432)^23+E(432)^311, -E(432)^23, -E(432)^407, -E(432)^359, -E(432)^311, -E(432)^263, -E(432)^215, E(432)^107+E(432)^251, E(432)^155+E(432)^299, E(432)^203+E(432)^347, -E(432)^347, -E(432)^299, -E(432)^251, -E(432)^203, -E(432)^155, -E(432)^107 ];
return rec(S := S, T := T);;