//qth power input for an example from //A module view of integral closures //showing the advantage of minimization //when the curve is not given in an optimal form //Both qth power and MAGMA IntegralClosure output are given for comparison F:=FiniteField(2); WT_MATRIX_S:=[[25,21]]; S:=PolynomialRing(F,2,"weight", [25,21,1,0]); WT_MATRIX_icS,integral_closure_S,I,delta,phi,psi:= integral_closure(F,S, 2, WT_MATRIX_S, [S|], y^21 +y^20*x +y^18*(x^3+x+1) +y^17*(x^3+1) +y^16*(x^4+x) +y^15*(x^7+x^6+x^3+x+1) +y^14*x^7 +y^13*(x^8+x^7+x^6+x^4+x^3+1) +y^12*(x^9+x^8+x^4+1) +y^11*(x^11+x^9+x^8+x^5+x^4+x^3+x^2) +y^10*(x^12+x^9+x^8+x^7+x^5+x^3+x+1) +y^9*(x^14+x^13+x^10+x^9+x^8+x^7+x^6+x^3+x^2+1) +y^8*(x^13+x^9+x^8+x^6+x^4+x^3+x) +y^7*(x^16+x^15+x^13+x^12+x^11+x^7+x^3+x) +y^6*(x^17+x^16+x^13+x^9+x^8+x) +y^5*(x^17+x^16+x^12+x^7+x^5+x^2+x+1) +y^4*(x^19+x^16+x^15+x^12+x^6+x^5+x^3+1) +y^3*(x^18+x^15+x^12+x^10+x^9+x^7+x^4+x) +y^2*(x^22+x^21+x^20+x^18+x^13+x^12+x^9+x^8+x^7+x^5+x^4+x^3) +y*(x^23+x^22+x^20+x^17+x^15+x^14+x^12+x^9) +(x^25+x^23+x^19+x^17+x^15+x^13+x^11+x^5)); AssignNames(~integral_closure_S, ["y" cat &cat [ "_" cat IntegerToString(WT_MATRIX_icS[i,j]) : i in [1..#WT_MATRIX_icS]] : j in [1..#WT_MATRIX_icS[1]]]); "I="; for i in [1..#Basis(I)] do i,Basis(I)[i]; end for; "delta=",delta; "phi="; for i in [1..#WT_MATRIX_icS[1]] do i,integral_closure_S.i@phi; end for; "psi="; for i in [1..Rank(S)] do i,S.i@psi; end for; //output from an example from //A module view of integral closures //showing the desirability of minimization //when the given form of the curve is far from optimal //Computed Delta in the qth power algorithm////////////////////////////////////////////////////////////////////////////////// Delta= x^217 + x^216 + x^214 + x^212 + x^211 + x^210 + x^207 + x^203 + x^202 + x^201 + x^200 + x^198 + x^197 + x^195 + x^194 + x^193 + x^188 + x^184 + x^183 + x^180 + x^179 + x^177 + x^176 + x^175 + x^173 + x^172 + x^171 + x^167 + x^165 + x^164 + x^162 + x^159 + x^158 + x^153 + x^150 + x^149 + x^138 + x^137 + x^133 + x^132 + x^131 + x^130 + x^128 + x^127 + x^126 + x^121 + x^117 + x^114 + x^112 + x^107 + x^106 + x^104 + x^103 + x^102 + x^97 + x^96 + x^95 + x^94 + x^92 + x^89 + x^88 + x^87 + x^86 + x^85 + x^80 + x^79 + x^78 + x^77 + x^76 + x^74 + x^73 + x^72 + x^70 + x^68 + x^66 + x^59 + x^58 + x^52 + x^47 + x^45 + x^43 + x^40 + x^38 + x^37 + x^34 + x^33 + x^32 + x^28 + x^26 + x^25 + x^22 + x^18 + x^15 + x^13 + x^12 + x^11 + x^8 + x^5 ///Basis from qth power algorithm (multiplied by delta, the first element)///////////////////////////////////////////////////////////////////////////////////// 1 x^209 + x^208 + x^207 + x^203 + x^197 + x^194 + x^191 + x^188 + x^184 + x^178 + x^175 + x^174 + x^173 + x^172 + x^171 + x^168 + x^167 + x^165 + x^163 + x^162 + x^161 + x^160 + x^157 + x^156 + x^154 + x^153 + x^151 + x^150 + x^146 + x^141 + x^140 + x^139 + x^138 + x^133 + x^132 + x^131 + x^129 + x^128 + x^127 + x^123 + x^120 + x^117 + x^116 + x^115 + x^113 + x^112 + x^111 + x^108 + x^106 + x^105 + x^104 + x^103 + x^102 + x^100 + x^99 + x^96 + x^94 + x^93 + x^91 + x^89 + x^86 + x^83 + x^82 + x^80 + x^78 + x^76 + x^74 + x^71 + x^70 + x^68 + x^67 + x^66 + x^65 + x^62 + x^60 + x^59 + x^58 + x^57 + x^56 + x^54 + x^52 + x^46 + x^42 + x^39 + x^38 + x^34 + x^33 + x^32 + x^31 + x^30 + x^29 + x^28 + x^27 + x^24 + x^21 + x^19 + x^17 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^6 + x^5 + x^3 2 y^7*x^201 + y^12*x^195 + y*x^208 + y^6*x^202 + y^11*x^196 + y^16*x^190 + y^10*x^197 + y^4*x^204 + y^9*x^198 + y^14*x^192 + y^8*x^199 + y^18*x^187 + y^2*x^206 + y^7*x^200 + y^12*x^194 + y^6*x^201 + x^208 + y^5*x^202 + y^20*x^184 + y^4*x^203 + y^9*x^197 + y^8*x^198 + y^13*x^192 + y^7*x^199 + y^17*x^187 + y*x^206 + y^6*x^200 + y^9*x^196 + y^19*x^184 + y^8*x^197 + y^17*x^186 + y^16*x^187 + y^5*x^200 + y^15*x^188 + y^9*x^195 + y^3*x^202 + y^8*x^196 + y^18*x^184 + y^7*x^197 + y*x^204 + y^11*x^192 + y^10*x^193 + y^20*x^181 + y^3*x^201 + y^8*x^195 + y^13*x^189 + y^18*x^183 + y^2*x^202 + y^7*x^196 + y^12*x^190 + y^16*x^185 + x^204 + y^5*x^198 + y^10*x^192 + y^15*x^186 + y^20*x^180 + y^4*x^199 + y^14*x^187 + y^19*x^181 + y^8*x^194 + y^18*x^182 + y^2*x^201 + y^12*x^189 + y*x^202 + y^6*x^196 + y^11*x^190 + y^16*x^184 + x^203 + y^15*x^185 + y^20*x^179 + y^4*x^198 + y^9*x^192 + y^19*x^180 + y^3*x^199 + y^18*x^181 + y^2*x^200 + y^12*x^188 + y^17*x^182 + y*x^201 + y^6*x^195 + y^11*x^189 + y^16*x^183 + x^202 + y^10*x^190 + y^20*x^178 + y^19*x^179 + y^3*x^198 + y^18*x^180 + y^7*x^193 + x^201 + y^10*x^189 + y^15*x^183 + y^20*x^177 + y^4*x^196 + y^14*x^184 + y^19*x^178 + y^3*x^197 + y^8*x^191 + y^13*x^185 + y^2*x^198 + y^7*x^192 + y^17*x^180 + y*x^199 + y^6*x^193 + x^200 + y^10*x^188 + y^20*x^176 + y^9*x^189 + y^3*x^196 + y^8*x^190 + y^13*x^184 + y^18*x^178 + y^7*x^191 + y^12*x^185 + y^6*x^192 + y^11*x^186 + x^199 + y^5*x^193 + y^15*x^181 + y^4*x^194 + y^9*x^188 + y^19*x^176 + y^3*x^195 + y^18*x^177 + y^7*x^190 + y^17*x^178 + y*x^197 + y^11*x^185 + y^5*x^192 + y^9*x^187 + y^19*x^175 + y^13*x^182 + y^18*x^176 + y^2*x^195 + y^7*x^189 + y^12*x^183 + y^17*x^177 + y*x^196 + y^16*x^178 + x^197 + y^5*x^191 + y^20*x^173 + y^4*x^192 + y^14*x^180 + y^3*x^193 + y^13*x^181 + y^2*x^194 + y*x^195 + y^6*x^189 + x^196 + y^5*x^190 + y^10*x^184 + y^15*x^178 + y^4*x^191 + y^3*x^192 + y^18*x^174 + y^17*x^175 + y*x^194 + y^6*x^188 + y^16*x^176 + x^195 + y^5*x^189 + y^10*x^183 + y^4*x^190 + y^9*x^184 + y^14*x^178 + y^3*x^191 + y^8*x^185 + y^13*x^179 + y^7*x^186 + y^12*x^180 + y*x^193 + y^16*x^175 + y^10*x^182 + y^20*x^170 + y^4*x^189 + y^9*x^183 + y^2*x^191 + y^7*x^185 + y*x^192 + y^6*x^186 + y^11*x^180 + y^16*x^174 + x^193 + y^5*x^187 + y^15*x^175 + y^4*x^188 + y^9*x^182 + y^19*x^170 + y^3*x^189 + y^7*x^184 + y^17*x^172 + y*x^191 + y^6*x^185 + y^11*x^179 + x^192 + y^5*x^186 + y^10*x^180 + y^9*x^181 + y^14*x^175 + y^19*x^169 + y^3*x^188 + y^8*x^182 + y^13*x^176 + y^2*x^189 + y*x^190 + y^11*x^178 + y^16*x^172 + x^191 + y^5*x^185 + y^4*x^186 + y^9*x^180 + y^19*x^168 + y^3*x^187 + y^8*x^181 + y^18*x^169 + y^2*x^188 + y^17*x^170 + y^11*x^177 + x^190 + y^20*x^166 + y^14*x^173 + y^3*x^186 + y^2*x^187 + y*x^188 + y^6*x^182 + y^11*x^176 + y^5*x^183 + y^20*x^165 + y^3*x^185 + y^13*x^173 + y^18*x^167 + y^7*x^180 + y^17*x^168 + y*x^187 + y^6*x^181 + x^188 + y^4*x^183 + y^3*x^184 + y^8*x^178 + y^13*x^172 + y^18*x^166 + y^7*x^179 + y^6*x^180 + y^11*x^174 + y^16*x^168 + y^10*x^175 + y^14*x^170 + y^8*x^177 + y^18*x^165 + y^17*x^166 + y^11*x^173 + y^10*x^174 + y^15*x^168 + y^9*x^175 + y^14*x^169 + y^8*x^176 + y^2*x^183 + y^17*x^165 + y^6*x^178 + y^11*x^172 + y^16*x^166 + y^10*x^173 + y^20*x^161 + y^4*x^180 + y^9*x^174 + y^3*x^181 + y^13*x^169 + y^18*x^163 + y^17*x^164 + y^6*x^177 + x^184 + y^5*x^178 + y^15*x^166 + y^4*x^179 + y^14*x^167 + y^19*x^161 + y^3*x^180 + y^13*x^168 + y^2*x^181 + y^7*x^175 + y^17*x^163 + y*x^182 + y^11*x^170 + y^16*x^164 + x^183 + y^5*x^177 + y^10*x^171 + y^15*x^165 + y^3*x^179 + y^18*x^161 + y^2*x^180 + y^17*x^162 + y*x^181 + x^182 + y^10*x^170 + y^15*x^164 + y^4*x^177 + y^14*x^165 + y^3*x^178 + y*x^180 + y^6*x^174 + y^11*x^168 + x^181 + y^10*x^169 + y^14*x^164 + y^19*x^158 + y^3*x^177 + y^8*x^171 + y^13*x^165 + y^2*x^178 + y^7*x^172 + y^12*x^166 + x^180 + y^15*x^162 + y^4*x^175 + y^9*x^169 + y^3*x^176 + y^2*x^177 + y^17*x^159 + y^6*x^172 + y^10*x^167 + y^15*x^161 + y^20*x^155 + y^14*x^162 + y^3*x^175 + y^8*x^169 + y^13*x^163 + y^2*x^176 + y^7*x^170 + y^12*x^164 + y^17*x^158 + y*x^177 + x^178 + y^5*x^172 + y^10*x^166 + y^15*x^160 + y^20*x^154 + y^4*x^173 + y^14*x^161 + y^19*x^155 + y^3*x^174 + y^8*x^168 + y^13*x^162 + y^2*x^175 + y^7*x^169 + y*x^176 + y^5*x^171 + y^10*x^165 + y^15*x^159 + y^4*x^172 + y^9*x^166 + y^19*x^154 + y^3*x^173 + y^18*x^155 + y^12*x^162 + y*x^175 + y^6*x^169 + y^16*x^157 + x^176 + y^15*x^158 + y^20*x^152 + y^9*x^165 + y^14*x^159 + y^3*x^172 + y^8*x^166 + y*x^174 + y^6*x^168 + y^11*x^162 + y^16*x^156 + x^175 + y^5*x^169 + y^10*x^163 + y^15*x^157 + y^19*x^152 + y^13*x^159 + y^2*x^172 + y^7*x^166 + y^12*x^160 + y^17*x^154 + y^6*x^167 + y^11*x^161 + x^174 + y^20*x^150 + y^19*x^151 + y^8*x^164 + y^18*x^152 + y^2*x^171 + y^12*x^159 + y^17*x^153 + y^11*x^160 + y^16*x^154 + y^20*x^149 + y^4*x^168 + y^9*x^162 + y^14*x^156 + y^19*x^150 + y^8*x^163 + y^13*x^157 + y^2*x^170 + y^7*x^164 + y^12*x^158 + y^17*x^152 + y^10*x^160 + y^15*x^154 + y^20*x^148 + y^4*x^167 + y^18*x^150 + y^2*x^169 + y^7*x^163 + y^12*x^157 + y*x^170 + y^16*x^152 + x^171 + y^15*x^153 + y^4*x^166 + y^9*x^160 + y^14*x^154 + y^19*x^148 + y^3*x^167 + y^8*x^161 + y^12*x^156 + y^17*x^150 + y^11*x^157 + y^16*x^151 + y^13*x^154 + y^2*x^167 + y^7*x^161 + y^6*x^162 + y^11*x^156 + y^16*x^150 + x^169 + y^5*x^163 + y^10*x^157 + y^15*x^151 + y^20*x^145 + y^4*x^164 + y^14*x^152 + y^3*x^165 + y^8*x^159 + y^13*x^153 + y^2*x^166 + y*x^167 + y^6*x^161 + x^168 + y^10*x^156 + y^15*x^150 + y^4*x^163 + y^8*x^158 + y^13*x^152 + y^18*x^146 + y^2*x^165 + y^17*x^147 + y*x^166 + y^16*x^148 + x^167 + y^10*x^155 + y^14*x^150 + y^19*x^144 + y^8*x^157 + y^2*x^164 + y^17*x^146 + y*x^165 + y^16*x^147 + x^166 + y^5*x^160 + y^10*x^154 + y^19*x^143 + y^3*x^162 + y^2*x^163 + y^7*x^157 + y^12*x^151 + y^17*x^145 + y^11*x^152 + y^5*x^159 + y^15*x^147 + y^20*x^141 + y^4*x^160 + y^9*x^154 + y^3*x^161 + y^13*x^149 + y^2*x^162 + y^7*x^156 + y^12*x^150 + y^17*x^144 + y^6*x^157 + y^16*x^145 + y^10*x^152 + y^9*x^153 + y^14*x^147 + y^8*x^154 + y^18*x^142 + y^2*x^161 + y^12*x^149 + y^11*x^150 + y^16*x^144 + x^163 + y^5*x^157 + y^10*x^151 + y^15*x^145 + y^4*x^158 + y^14*x^146 + y^8*x^153 + y^12*x^148 + y^17*x^142 + y^11*x^149 + y^4*x^157 + y^9*x^151 + y^19*x^139 + y^8*x^152 + y^2*x^159 + y^7*x^153 + y^11*x^148 + y^10*x^149 + y^15*x^143 + y^20*x^137 + y^4*x^156 + y^19*x^138 + y^18*x^139 + y^7*x^152 + y^12*x^146 + y^6*x^153 + y^11*x^147 + y^16*x^141 + x^160 + y^10*x^148 + y^15*x^142 + y^20*x^136 + y^4*x^155 + y^14*x^143 + y^19*x^137 + y^3*x^156 + y^17*x^139 + x^159 + y^5*x^153 + y^10*x^147 + y^19*x^136 + y^3*x^155 + y^8*x^149 + y^2*x^156 + y^7*x^150 + y^6*x^151 + y^16*x^139 + x^158 + y^20*x^134 + y^4*x^153 + y^9*x^147 + y^14*x^141 + y^13*x^142 + y^18*x^136 + y^2*x^155 + y^12*x^143 + y^17*x^137 + y^6*x^150 + y^16*x^138 + x^157 + y^5*x^151 + y^10*x^145 + y^15*x^139 + y^4*x^152 + y^3*x^153 + y^7*x^148 + y^12*x^142 + y^17*x^136 + x^156 + y^10*x^144 + y^15*x^138 + y^14*x^139 + y^19*x^133 + y^3*x^152 + y^13*x^140 + y^7*x^147 + y^12*x^141 + y*x^154 + y^11*x^142 + y^16*x^136 + x^155 + y^10*x^143 + y^15*x^137 + y^4*x^150 + y^19*x^132 + y^13*x^139 + y^17*x^134 + x^154 + y^5*x^148 + y^15*x^136 + y^9*x^143 + y^14*x^137 + y^19*x^131 + y^8*x^144 + y^13*x^138 + y^18*x^132 + y^2*x^151 + y^7*x^145 + y^12*x^139 + y^17*x^133 + y*x^152 + y^6*x^146 + y^16*x^134 + y^5*x^147 + y^20*x^129 + y^4*x^148 + y^8*x^143 + y^16*x^133 + x^152 + y^10*x^140 + y^15*x^134 + y^20*x^128 + y^4*x^147 + y^9*x^141 + y^14*x^135 + y^8*x^142 + y^2*x^149 + y^7*x^143 + y^12*x^137 + y^17*x^131 + y^6*x^144 + y^11*x^138 + y^16*x^132 + x^151 + y^10*x^139 + y^4*x^146 + y^9*x^140 + y^14*x^134 + y^19*x^128 + y^2*x^148 + y^7*x^142 + y*x^149 + y^6*x^143 + y^11*x^137 + y^15*x^132 + y^4*x^145 + y^14*x^133 + y^19*x^127 + y^3*x^146 + y^13*x^134 + y^18*x^128 + y^2*x^147 + y^17*x^129 + y*x^148 + y^6*x^142 + y^11*x^136 + x^149 + y^15*x^131 + y^4*x^144 + y^9*x^138 + y^14*x^132 + y^13*x^133 + y^18*x^127 + y^2*x^146 + y^17*x^128 + y*x^147 + y^16*x^129 + y^5*x^142 + y^20*x^124 + y^4*x^143 + y^9*x^137 + y^14*x^131 + y^3*x^144 + y^13*x^132 + y^2*x^145 + y^7*x^139 + y*x^146 + y^11*x^134 + y^16*x^128 + y^20*x^123 + y^14*x^130 + y^8*x^137 + y^18*x^125 + y^11*x^133 + y^5*x^140 + y^10*x^134 + y^20*x^122 + y^9*x^135 + y^14*x^129 + y^19*x^123 + y^8*x^136 + y^2*x^143 + y^17*x^125 + y*x^144 + y^16*x^126 + x^145 + y^5*x^139 + y^10*x^133 + y^15*x^127 + y^4*x^140 + y^14*x^128 + y^19*x^122 + y^8*x^135 + y^2*x^142 + y^12*x^130 + y^11*x^131 + x^144 + y^10*x^132 + y^15*x^126 + y^4*x^139 + y^9*x^133 + y^3*x^140 + y^8*x^134 + y^13*x^128 + y^17*x^123 + y*x^142 + y^11*x^130 + y^16*x^124 + y^9*x^132 + y^14*x^126 + y^3*x^139 + y^13*x^127 + y^18*x^121 + y^2*x^140 + y^7*x^134 + y^17*x^122 + y*x^141 + x^142 + y^10*x^130 + y^4*x^137 + y^9*x^131 + y^14*x^125 + y^19*x^119 + y^3*x^138 + y^13*x^126 + y^18*x^120 + y^2*x^139 + y^17*x^121 + y*x^140 + y^11*x^128 + y^16*x^122 + x^141 + y^5*x^135 + y^10*x^129 + y^9*x^130 + y^14*x^124 + y^18*x^119 + y^2*x^138 + y^7*x^132 + y*x^139 + y^10*x^128 + y^15*x^122 + y^20*x^116 + y^14*x^123 + y^8*x^130 + y^18*x^118 + y^5*x^133 + y^15*x^121 + y^20*x^115 + y^4*x^134 + y^14*x^122 + y^19*x^116 + y^3*x^135 + y^8*x^129 + y^13*x^123 + y^18*x^117 + y^2*x^136 + y^7*x^130 + y^12*x^124 + y^17*x^118 + y^6*x^131 + x^138 + y^5*x^132 + y^15*x^120 + y^4*x^133 + y^14*x^121 + y^19*x^115 + y^3*x^134 + y^8*x^128 + y^13*x^122 + y^18*x^116 + y^2*x^135 + y^12*x^123 + y^16*x^118 + x^137 + y^10*x^125 + y^19*x^114 + y^3*x^133 + y^8*x^127 + y^18*x^115 + y^2*x^134 + y^7*x^128 + y^12*x^122 + y*x^135 + y^11*x^123 + y^5*x^130 + y^4*x^131 + 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+ y^4*x^71 + y^9*x^65 + y^19*x^53 + y^8*x^66 + y^13*x^60 + y^2*x^73 + y^17*x^55 + y^6*x^68 + y^15*x^57 + y^20*x^51 + y^4*x^70 + y^9*x^64 + y^19*x^52 + y^18*x^53 + y^16*x^55 + x^74 + y^5*x^68 + y^20*x^50 + y^4*x^69 + y^9*x^63 + y^19*x^51 + y^3*x^70 + y^8*x^64 + y^13*x^58 + y^7*x^65 + y^6*x^66 + y^16*x^54 + y^10*x^61 + y^15*x^55 + y^20*x^49 + y^14*x^56 + y^19*x^50 + y^8*x^63 + y^13*x^57 + y*x^71 + y^6*x^65 + x^72 + y^10*x^60 + y^15*x^54 + y^20*x^48 + y^4*x^67 + y^9*x^61 + y^19*x^49 + y^13*x^56 + y^18*x^50 + y^7*x^63 + y^17*x^51 + y*x^70 + y^6*x^64 + y^10*x^59 + y^19*x^48 + y^3*x^67 + y^2*x^68 + y^12*x^56 + y^17*x^50 + y^6*x^63 + y^11*x^57 + x^70 + y^5*x^64 + y^10*x^58 + y^15*x^52 + y^9*x^59 + y^19*x^47 + y^3*x^66 + y^13*x^54 + y^7*x^61 + y^17*x^49 + y*x^68 + y^6*x^62 + y^11*x^56 + x^69 + y^5*x^63 + y^10*x^57 + y^9*x^58 + y^3*x^65 + y^8*x^59 + y^18*x^47 + y^2*x^66 + y^12*x^54 + y^17*x^48 + y*x^67 + y^6*x^61 + y^11*x^55 + y^16*x^49 + x^68 + y^20*x^44 + y^4*x^63 + y^9*x^57 + y^8*x^58 + 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+ y^13*x^70 + y^12*x^71 + y^17*x^65 + y*x^84 + y^11*x^72 + x^85 + y^5*x^79 + y^20*x^61 + y^4*x^80 + y^14*x^68 + y^19*x^62 + y^3*x^81 + y^8*x^75 + y^13*x^69 + y^18*x^63 + y^7*x^76 + y^12*x^70 + y^6*x^77 + x^84 + y^5*x^78 + y^10*x^72 + y^4*x^79 + y^9*x^73 + y^14*x^67 + y^19*x^61 + y^13*x^68 + y^2*x^81 + y^7*x^75 + y^12*x^69 + y^17*x^63 + y^10*x^71 + y^8*x^73 + y^13*x^67 + y^12*x^68 + y*x^81 + y^6*x^75 + y^16*x^63 + y^5*x^76 + y^4*x^77 + y^14*x^65 + y^19*x^59 + y^13*x^66 + y^6*x^74 + y^11*x^68 + y^16*x^62 + y^10*x^69 + y^19*x^58 + y^3*x^77 + y^8*x^71 + y^13*x^65 + y^18*x^59 + y^7*x^72 + y*x^79 + y^6*x^73 + y^16*x^61 + x^80 + y^15*x^62 + y^8*x^70 + y^18*x^58 + y^2*x^77 + y^12*x^65 + y^17*x^59 + y^6*x^72 + y^11*x^66 + y^16*x^60 + x^79 + y^15*x^61 + y^4*x^74 + y^14*x^62 + y^19*x^56 + y^8*x^69 + y^2*x^76 + y^17*x^58 + y^6*x^71 + y^11*x^65 + y^16*x^59 + y^10*x^66 + y^19*x^55 + y^12*x^63 + y^17*x^57 + y^6*x^70 + y^11*x^64 + y^16*x^58 + x^77 + y^15*x^59 + y^20*x^53 + y^4*x^72 + y^9*x^66 + y^14*x^60 + y^19*x^54 + y^18*x^55 + y^2*x^74 + y^12*x^62 + y^16*x^57 + x^76 + y^5*x^70 + y^10*x^64 + y^20*x^52 + y^4*x^71 + y^9*x^65 + y^19*x^53 + y^8*x^66 + y^13*x^60 + y^2*x^73 + y^7*x^67 + y^17*x^55 + y*x^74 + y^6*x^68 + x^75 + y^5*x^69 + y^10*x^63 + y^20*x^51 + y^9*x^64 + y^14*x^58 + y^19*x^52 + y^3*x^71 + y^13*x^59 + y^18*x^53 + y^7*x^66 + y^17*x^54 + y^6*x^67 + y^16*x^55 + y^10*x^62 + y^20*x^50 + y^13*x^58 + y^18*x^52 + y^2*x^71 + y^7*x^65 + y^12*x^59 + y^17*x^53 + y^16*x^54 + x^73 + y^10*x^61 + y^9*x^62 + y^19*x^50 + y^13*x^57 + y^7*x^64 + y^12*x^58 + y^11*x^59 + y^16*x^53 + y^5*x^66 + y^20*x^48 + y^14*x^55 + y^19*x^49 + y^8*x^62 + y^18*x^50 + y^2*x^69 + y*x^70 + y^11*x^58 + y^16*x^52 + y^15*x^53 + y^9*x^60 + y^14*x^54 + y^19*x^48 + y^3*x^67 + y^13*x^55 + y^2*x^68 + y^12*x^56 + y*x^69 + y^11*x^57 + x^70 + y^5*x^64 + y^20*x^46 + y^4*x^65 + y^14*x^53 + y^3*x^66 + y^8*x^60 + y^13*x^54 + y^2*x^67 + y^7*x^61 + y^6*x^62 + y^16*x^50 + x^69 + y^5*x^63 + y^10*x^57 + y^14*x^52 + y^19*x^46 + y^3*x^65 + y^13*x^53 + y^2*x^66 + y*x^67 + y^5*x^62 + y^4*x^63 + y^3*x^64 + y^2*x^65 + y^7*x^59 + y^12*x^53 + y^6*x^60 + y^11*x^54 + x^67 + y^10*x^55 + y^15*x^49 + y^20*x^43 + y^3*x^63 + y^8*x^57 + y^13*x^51 + y^18*x^45 + y^2*x^64 + y^7*x^58 + y^17*x^46 + y*x^65 + y^6*x^59 + y^11*x^53 + y^5*x^60 + y^14*x^49 + y^18*x^44 + y^2*x^63 + y*x^64 + y^11*x^52 + y^16*x^46 + x^65 + y^5*x^59 + y^10*x^53 + y^15*x^47 + y^13*x^49 + y^12*x^50 + y*x^63 + y^6*x^57 + y^10*x^52 + y^4*x^59 + y^9*x^53 + y^8*x^54 + y^13*x^48 + y^18*x^42 + y^2*x^61 + y^17*x^43 + y*x^62 + y^6*x^56 + y^11*x^50 + y^16*x^44 + y^10*x^51 + y^15*x^45 + y^9*x^52 + y^19*x^40 + y^3*x^59 + y^8*x^53 + y^13*x^47 + y^18*x^41 + y^2*x^60 + y^7*x^54 + y^17*x^42 + y*x^61 + x^62 + y^10*x^50 + y^4*x^57 + y^9*x^51 + y^14*x^45 + y^3*x^58 + y^13*x^46 + y^2*x^59 + y^7*x^53 + y^12*x^47 + y^17*x^41 + y*x^60 + y^6*x^54 + y^11*x^48 + y^20*x^37 + y^4*x^56 + y^9*x^50 + y^8*x^51 + y^13*x^45 + y^18*x^39 + y^6*x^53 + y^11*x^47 + y^4*x^55 + y^9*x^49 + y^19*x^37 + y^18*x^38 + y^7*x^51 + y*x^58 + y^6*x^52 + x^59 + y^20*x^35 + y^14*x^42 + y^3*x^55 + y^8*x^49 + y^13*x^43 + y^2*x^56 + y^5*x^52 + y^10*x^46 + y^4*x^53 + y^9*x^47 + y^19*x^35 + y^3*x^54 + y^17*x^37 + y^6*x^50 + y^11*x^44 + x^57 + y^5*x^51 + y^4*x^52 + y^14*x^40 + y^19*x^34 + y^8*x^47 + y^7*x^48 + y^12*x^42 + y^17*x^36 + y*x^55 + y^6*x^49 + y^11*x^43 + y^5*x^50 + y^10*x^44 + y^15*x^38 + y^20*x^32 + y^4*x^51 + y^9*x^45 + y^3*x^52 + y^18*x^34 + y^12*x^41 + y^17*x^35 + y^6*x^48 + y^11*x^42 + y^5*x^49 + y^20*x^31 + y^9*x^44 + y^14*x^38 + y^18*x^33 + y^2*x^52 + y^7*x^46 + y^12*x^40 + y^6*x^47 + y^16*x^35 + y^5*x^48 + y^10*x^42 + y^14*x^37 + y^19*x^31 + y^3*x^50 + y^12*x^39 + y^17*x^33 + y^11*x^40 + y^16*x^34 + y^5*x^47 + y^15*x^35 + y^4*x^48 + y^9*x^42 + y^14*x^36 + y^18*x^31 + y^2*x^50 + y^7*x^44 + y^12*x^38 + y^17*x^32 + y^6*x^45 + x^52 + y^5*x^46 + y^4*x^47 + y^14*x^35 + y^8*x^42 + y^13*x^36 + y^12*x^37 + y^17*x^31 + y*x^50 + y^11*x^38 + y^16*x^32 + y^10*x^39 + y^15*x^33 + y^9*x^40 + y^13*x^35 + y^2*x^48 + y^7*x^42 + y*x^49 + y^6*x^43 + y^16*x^31 + x^50 + y^15*x^32 + y^20*x^26 + y^4*x^45 + y^14*x^33 + y^3*x^46 + y^8*x^40 + y^13*x^34 + y^18*x^28 + y^12*x^35 + y*x^48 + x^49 + y^5*x^43 + y^10*x^37 + y^15*x^31 + y^20*x^25 + y^4*x^44 + y^14*x^32 + y^19*x^26 + y^3*x^45 + y^8*x^39 + y^13*x^33 + y^2*x^46 + y^7*x^40 + y^12*x^34 + y^17*x^28 + y^6*x^41 + y^11*x^35 + y^5*x^42 + y^10*x^36 + y^20*x^24 + y^9*x^37 + y^14*x^31 + y^19*x^25 + y^8*x^38 + y^18*x^26 + y^2*x^45 + y^7*x^39 + y^11*x^34 + y^5*x^41 + y^10*x^35 + y^15*x^29 + y^20*x^23 + y^3*x^43 + y^8*x^37 + y^13*x^31 + y^2*x^44 + y^7*x^38 + y^6*x^39 + y^11*x^33 + y^15*x^28 + y^20*x^22 + y^14*x^29 + y^19*x^23 + y^8*x^36 + y^2*x^43 + y^12*x^31 + y^6*x^38 + y^16*x^26 + y^5*x^39 + y^15*x^27 + y^14*x^28 + y^3*x^41 + y^13*x^29 + y^2*x^42 + y^12*x^30 + y^17*x^24 + y^6*x^37 + y^11*x^31 + y^20*x^20 + y^4*x^39 + y^8*x^34 + y^2*x^41 + y^7*x^35 + y^17*x^23 + y^6*x^36 + y^16*x^24 + x^43 + y^5*x^37 + y^15*x^25 + y^20*x^19 + y^4*x^38 + y^19*x^20 + y^8*x^33 + y^2*x^40 + y^7*x^34 + y^12*x^28 + y*x^41 + y^6*x^35 + y^10*x^30 + y^20*x^18 + y^4*x^37 + y^9*x^31 + y^8*x^32 + y^13*x^26 + y^7*x^33 + y^17*x^21 + y^6*x^34 + y^11*x^28 + y^16*x^22 + x^41 + y^15*x^23 + y^20*x^17 + y^4*x^36 + y^14*x^24 + y^8*x^31 + y^13*x^25 + y^18*x^19 + y^2*x^38 + y^7*x^32 + y^12*x^26 + y^6*x^33 + y^11*x^27 + y^16*x^21 + x^40 + y^10*x^28 + y^4*x^35 + y^9*x^29 + y^14*x^23 + y^18*x^18 + y^2*x^37 + y^12*x^25 + y^6*x^32 + y^11*x^26 + x^39 + y^5*x^33 + y^15*x^21 + y^20*x^15 + y^19*x^16 + y^3*x^35 + y^8*x^29 + y^2*x^36 + y^7*x^30 + y^12*x^24 + y^17*x^18 + y^11*x^25 + y^16*x^19 + x^38 + y^5*x^32 + y^20*x^14 + y^4*x^33 + y^9*x^27 + y^14*x^21 + y^19*x^15 + y^13*x^22 + y^2*x^35 + y*x^36 + x^37 + y^5*x^31 + y^20*x^13 + y^8*x^27 + y^13*x^21 + y^2*x^34 + y^17*x^16 + y*x^35 + y^16*x^17 + y^5*x^30 + y^10*x^24 + y^15*x^18 + y^20*x^12 + y^9*x^25 + y^3*x^32 + y^8*x^26 + y^13*x^20 + y^18*x^14 + y^17*x^15 + y*x^34 + y^6*x^28 + y^11*x^22 + y^16*x^16 + x^35 + y^5*x^29 + y^10*x^23 + y^20*x^11 + y^4*x^30 + y^3*x^31 + y^8*x^25 + y^2*x^32 + y^7*x^26 + y^12*x^20 + y^6*x^27 + y^11*x^21 + y^16*x^15 + y^5*x^28 + y^15*x^16 + y^20*x^10 + y^4*x^29 + y^9*x^23 + y^3*x^30 + y^8*x^24 + y^2*x^31 + y^7*x^25 + y^12*x^19 + y*x^32 + y^6*x^26 + y^16*x^14 + y^15*x^15 + y^20*x^9 + y^14*x^16 + y^3*x^29 + y^18*x^11 + y*x^31 + y^16*x^13 + x^32 + y^10*x^20 + y^8*x^22 + y^2*x^29 + y^7*x^23 + y^12*x^17 + y*x^30 + y^6*x^24 + y^16*x^12 + x^31 + y^5*x^25 + y^15*x^13 + y^20*x^7 + y^4*x^26 + y^3*x^27 + y^18*x^9 + y^7*x^22 + y^12*x^16 + y*x^29 + y^6*x^23 + y^11*x^17 + x^30 + y^5*x^24 + y^10*x^18 + y^20*x^6 + y^4*x^25 + y^14*x^13 + y^19*x^7 + y^3*x^26 + y^8*x^20 + y^13*x^14 + y^18*x^8 + y^7*x^21 + y^17*x^9 + y*x^28 + y^11*x^16 + y^16*x^10 + y^9*x^18 + y^14*x^12 + y^19*x^6 + y^8*x^19 + y^13*x^13 + y^18*x^7 + y^2*x^26 + y^7*x^20 + y^12*x^14 + y*x^27 + y^11*x^15 + y^16*x^9 + x^28 + y^15*x^10 + y^9*x^17 + y^14*x^11 + y*x^26 + y^6*x^20 + y^11*x^14 + y^10*x^15 + y^15*x^9 + y^20*x^3 + y^4*x^22 + y^19*x^4 + y^8*x^17 + y^2*x^24 + y^7*x^18 + y^16*x^7 + y^10*x^14 + y^4*x^21 + y^3*x^22 + y^8*x^16 + y^18*x^4 + y^7*x^17 + y^12*x^11 + y^11*x^12 + y^16*x^6 + x^25 + y^5*x^19 + y^15*x^7 + y^14*x^8 + y^19*x^2 + y^3*x^21 + y^8*x^15 + y^13*x^9 + y^12*x^10 + y^17*x^4 + y^6*x^17 + y^11*x^11 + y^16*x^5 + x^24 + y^10*x^12 + y^15*x^6 + y^3*x^20 + y^8*x^14 + y^13*x^8 + y^18*x^2 + y^7*x^15 + y^12*x^9 + y*x^22 + y^6*x^16 + y^11*x^10 + y^16*x^4 + x^23 + y^5*x^17 + y^15*x^5 + y^14*x^6 + y^8*x^13 + y^13*x^7 + y^7*x^14 + y^12*x^8 + y^17*x^2 + y*x^21 + y^10*x^10 + y^15*x^4 + y^9*x^11 + y^7*x^13 + y^12*x^7 + y*x^20 + y^11*x^8 + y^5*x^15 + y^15*x^3 + y^4*x^16 + y^9*x^10 + y^14*x^4 + y^8*x^11 + y^13*x^5 + y^2*x^18 + y^7*x^12 + y^12*x^6 + y^11*x^7 + x^20 + y^15*x^2 + y^4*x^15 + y^9*x^9 + y^14*x^3 + y^13*x^4 + y^2*x^17 + y^12*x^5 + y^6*x^12 + y^11*x^6 + x^19 + y^10*x^7 + y^4*x^14 + y^9*x^8 + y^14*x^2 + y^11*x^5 + y^3*x^14 + y^7*x^9 + y^12*x^3 + y*x^16 + y^6*x^10 + x^17 + y^3*x^13 + y^8*x^7 + y^2*x^14 + y^11*x^3 + x^16 + y^10*x^4 + y^4*x^11 + y^3*x^12 + y^8*x^6 + y*x^14 + y^6*x^8 + y^11*x^2 + y^5*x^9 + y^4*x^10 + y^7*x^6 + y*x^13 + x^14 + y^5*x^8 + y^9*x^3 + y^7*x^5 + y*x^12 + x^13 + y^5*x^7 + y^4*x^8 + y^8*x^3 + y^2*x^10 + y^7*x^4 + y^5*x^6 + y^4*x^7 + y^3*x^8 + y^8*x^2 + y^2*x^9 + y*x^10 + y^6*x^4 + x^11 + y^4*x^6 + y^2*x^8 + y^6*x^3 + x^10 + y^5*x^4 + y^4*x^5 + y^2*x^7 + y^3*x^5 + y*x^7 + y^4*x^3 + x^7 + y^2*x^4 + y*x^5 + x^6 + y^3*x^2 + x^4 + x^3 4 y^8*x^200 + y^13*x^194 + y^18*x^188 + y^7*x^201 + y^17*x^189 + y*x^208 + y^6*x^202 + y^11*x^196 + x^209 + y^5*x^203 + y^10*x^197 + y^4*x^204 + y^18*x^187 + y*x^207 + y^11*x^195 + x^208 + y^5*x^202 + y^10*x^196 + y^15*x^190 + y^4*x^203 + y^9*x^197 + y^14*x^191 + y^19*x^185 + y^12*x^193 + y^17*x^187 + y^10*x^195 + y^4*x^202 + y^9*x^196 + y^14*x^190 + y^19*x^184 + y^3*x^203 + y^18*x^185 + y^2*x^204 + y^17*x^186 + y^6*x^199 + y^16*x^187 + x^206 + y^5*x^200 + y^20*x^182 + y^9*x^195 + y^7*x^197 + y^12*x^191 + y*x^204 + y^6*x^198 + y^4*x^200 + y^14*x^188 + y^19*x^182 + y^3*x^201 + y^8*x^195 + y^7*x^196 + y^12*x^190 + y^17*x^184 + y^11*x^191 + y^10*x^192 + y^20*x^180 + y^14*x^187 + y^19*x^181 + y^3*x^200 + y^2*x^201 + y^7*x^195 + y^12*x^189 + y^17*x^183 + y*x^202 + y^16*x^184 + x^203 + y^4*x^198 + y^9*x^192 + y^14*x^186 + y^19*x^180 + y^13*x^187 + y^18*x^181 + y^2*x^200 + y*x^201 + y^6*x^195 + y^16*x^183 + x^202 + y^10*x^190 + y^14*x^185 + y^13*x^186 + y^17*x^181 + y^6*x^194 + y^5*x^195 + y^10*x^189 + y^15*x^183 + y^20*x^177 + y^3*x^197 + y^13*x^185 + y^2*x^198 + y^12*x^186 + y*x^199 + y^11*x^187 + y^5*x^194 + y^20*x^176 + y^4*x^195 + y^19*x^177 + y^3*x^196 + y*x^198 + y^11*x^186 + y^16*x^180 + y^5*x^193 + y^15*x^181 + y^20*x^175 + y^4*x^194 + y^9*x^188 + y^8*x^189 + y^2*x^196 + y*x^197 + y^6*x^191 + y^11*x^185 + y^16*x^179 + y^10*x^186 + y^15*x^180 + y^9*x^187 + y^14*x^181 + y^3*x^194 + y^13*x^182 + y^18*x^176 + y^2*x^195 + y^7*x^189 + y*x^196 + x^197 + y^10*x^185 + y^4*x^192 + y^9*x^186 + y^14*x^180 + y^3*x^193 + y^13*x^181 + y^12*x^182 + y^6*x^189 + y^16*x^177 + x^196 + y^14*x^179 + y^19*x^173 + y^3*x^192 + y^18*x^174 + y^2*x^193 + y*x^194 + y^6*x^188 + y^11*x^182 + y^16*x^176 + x^195 + y^10*x^183 + y^4*x^190 + y^19*x^172 + y^3*x^191 + y^8*x^185 + y^18*x^173 + y^12*x^180 + y^17*x^174 + y*x^193 + y^6*x^187 + y^11*x^181 + y^16*x^175 + y^15*x^176 + y^4*x^189 + y^19*x^171 + y^3*x^190 + y^13*x^178 + y^18*x^172 + y^2*x^191 + y^11*x^180 + y^16*x^174 + x^193 + y^10*x^181 + y^15*x^175 + y^20*x^169 + y^4*x^188 + y^9*x^182 + y^3*x^189 + y^13*x^177 + y^12*x^178 + y^17*x^172 + y*x^191 + y^11*x^179 + y^15*x^174 + y^9*x^181 + y^19*x^169 + y^3*x^188 + y^8*x^182 + y^18*x^170 + y^2*x^189 + y^7*x^183 + y^6*x^184 + y^11*x^178 + y^16*x^172 + y^4*x^186 + y^8*x^181 + y^2*x^188 + y^17*x^170 + y*x^189 + y^11*x^177 + y^16*x^171 + y^5*x^184 + y^19*x^167 + y^3*x^186 + y^8*x^180 + y^13*x^174 + y^2*x^187 + y^7*x^181 + y^12*x^175 + y^17*x^169 + y*x^188 + y^5*x^183 + y^15*x^171 + y^20*x^165 + y^4*x^184 + y^14*x^172 + y^3*x^185 + y^13*x^173 + y^18*x^167 + y^2*x^186 + y^7*x^180 + y^6*x^181 + y^16*x^169 + x^188 + y^5*x^182 + y^10*x^176 + y^20*x^164 + y^4*x^183 + y^19*x^165 + y^3*x^184 + y^13*x^172 + y^18*x^166 + y^2*x^185 + y^6*x^180 + y^16*x^168 + y^10*x^175 + y^4*x^182 + y^3*x^183 + y^8*x^177 + y^2*x^184 + y^7*x^178 + y^11*x^173 + y^5*x^180 + y^20*x^162 + y^19*x^163 + y^3*x^182 + y^8*x^176 + y^18*x^164 + y^2*x^183 + y^17*x^165 + y^6*x^178 + y^11*x^172 + y^5*x^179 + y^20*x^161 + y^9*x^174 + y^19*x^162 + y^3*x^181 + y^8*x^175 + y^13*x^169 + y^18*x^163 + y^2*x^182 + y^12*x^170 + y^6*x^177 + y^16*x^165 + x^184 + y^5*x^178 + y^15*x^166 + y^20*x^160 + y^4*x^179 + y^9*x^173 + y^3*x^180 + y^8*x^174 + y^13*x^168 + y^18*x^162 + y^17*x^163 + y^6*x^176 + y^16*x^164 + x^183 + y^10*x^171 + y^4*x^178 + y^19*x^160 + y^3*x^179 + y^8*x^173 + y^13*x^167 + y^18*x^161 + y^7*x^174 + y^12*x^168 + y^5*x^176 + y^4*x^177 + y^19*x^159 + y^8*x^172 + y^2*x^179 + y^7*x^173 + y^12*x^167 + y*x^180 + y^11*x^168 + x^181 + y^10*x^169 + y^20*x^157 + y^9*x^170 + y^8*x^171 + y^13*x^165 + y^17*x^160 + y^6*x^173 + y^11*x^167 + y^16*x^161 + x^180 + y^5*x^174 + y^15*x^162 + y^20*x^156 + y^4*x^175 + y^14*x^163 + y^19*x^157 + y^8*x^170 + y^18*x^158 + y^2*x^177 + y^6*x^172 + y^11*x^166 + y^16*x^160 + x^179 + y^10*x^167 + y^15*x^161 + y^4*x^174 + y^19*x^156 + y^3*x^175 + y^8*x^169 + y^18*x^157 + y^2*x^176 + y*x^177 + y^11*x^165 + y^5*x^172 + y^10*x^166 + y^15*x^160 + y^20*x^154 + y^4*x^173 + y^9*x^167 + y^3*x^174 + y^8*x^168 + y^13*x^162 + y^2*x^175 + y^7*x^169 + y^12*x^163 + y*x^176 + y^6*x^170 + y^11*x^164 + y^5*x^171 + y^9*x^166 + y^19*x^154 + y^8*x^167 + y^13*x^161 + y^18*x^155 + y^12*x^162 + y^17*x^156 + y*x^175 + y^6*x^169 + y^11*x^163 + y^9*x^165 + y^19*x^153 + y^3*x^172 + y^18*x^154 + y^17*x^155 + y^11*x^162 + y^5*x^169 + y^15*x^157 + y^14*x^158 + y^3*x^171 + y^17*x^154 + y*x^173 + y^11*x^161 + x^174 + y^5*x^168 + y^9*x^163 + y^19*x^151 + y^3*x^170 + y^8*x^164 + y^2*x^171 + y^7*x^165 + y*x^172 + y^5*x^167 + y^15*x^155 + y^20*x^149 + y^19*x^150 + y^3*x^169 + y^18*x^151 + y^2*x^170 + y^12*x^158 + y^6*x^165 + x^172 + y^5*x^166 + y^10*x^160 + y^4*x^167 + y^19*x^149 + y^12*x^157 + y^17*x^151 + y^16*x^152 + x^171 + y^5*x^165 + y^15*x^153 + y^20*x^147 + y^9*x^160 + y^19*x^148 + y^8*x^161 + y^13*x^155 + y^18*x^149 + y^7*x^162 + y*x^169 + y^6*x^163 + y^11*x^157 + y^5*x^164 + y^15*x^152 + y^20*x^146 + y^14*x^153 + y^13*x^154 + y^12*x^155 + y*x^168 + y^6*x^162 + y^16*x^150 + y^5*x^163 + y^10*x^157 + y^15*x^151 + y^4*x^164 + y^9*x^158 + y^3*x^165 + y*x^167 + x^168 + y^5*x^162 + y^10*x^156 + y^15*x^150 + y^4*x^163 + y^9*x^157 + y^13*x^152 + y^12*x^153 + y^17*x^147 + y*x^166 + x^167 + y^5*x^161 + y^19*x^144 + y^13*x^151 + y^7*x^158 + y^12*x^152 + y^11*x^153 + y^16*x^147 + x^166 + y^15*x^148 + y^20*x^142 + y^4*x^161 + y^9*x^155 + y^14*x^149 + y^19*x^143 + y^3*x^162 + y^8*x^156 + y^7*x^157 + y^17*x^145 + y*x^164 + y^6*x^158 + y^16*x^146 + y^10*x^153 + y^15*x^147 + y^20*x^141 + y^9*x^154 + y^8*x^155 + y^13*x^149 + y^2*x^162 + y^12*x^150 + y^17*x^144 + y^11*x^151 + x^164 + y^5*x^158 + y^15*x^146 + y^4*x^159 + y^9*x^153 + y^14*x^147 + y^19*x^141 + y^3*x^160 + y^13*x^148 + y^18*x^142 + y^7*x^155 + y*x^162 + y^11*x^150 + y^5*x^157 + y^10*x^151 + y^20*x^139 + y^4*x^158 + y^9*x^152 + y^14*x^146 + y^19*x^140 + y^2*x^160 + y^7*x^154 + y^12*x^148 + y*x^161 + y^11*x^149 + x^162 + y^5*x^156 + y^15*x^144 + y^20*x^138 + y^4*x^157 + y^9*x^151 + y^13*x^146 + y^18*x^140 + y^2*x^159 + y^7*x^153 + y^12*x^147 + y^17*x^141 + y^6*x^154 + y^11*x^148 + x^161 + y^10*x^149 + y^20*x^137 + y^4*x^156 + y^9*x^150 + y^13*x^145 + y^2*x^158 + y^7*x^152 + y^12*x^146 + y^17*x^140 + y*x^159 + y^6*x^153 + y^11*x^147 + y^16*x^141 + y^5*x^154 + y^20*x^136 + y^4*x^155 + y^14*x^143 + y^3*x^156 + y^8*x^150 + y^18*x^138 + y^12*x^145 + y^17*x^139 + y*x^158 + y^6*x^152 + x^159 + y^15*x^141 + y^20*x^135 + y^4*x^154 + y^19*x^136 + y^7*x^150 + y^12*x^144 + y^17*x^138 + y*x^157 + y^6*x^151 + y^5*x^152 + y^20*x^134 + y^4*x^153 + y^14*x^141 + y^8*x^148 + y^18*x^136 + y^2*x^155 + y^7*x^149 + y^12*x^143 + y^17*x^137 + y^10*x^145 + y^4*x^152 + y^9*x^146 + y^14*x^140 + y^8*x^147 + y^18*x^135 + y^2*x^154 + y^12*x^142 + y^17*x^136 + y*x^155 + y^6*x^149 + y^11*x^143 + y^10*x^144 + y^15*x^138 + y^4*x^151 + y^9*x^145 + y^8*x^146 + y^2*x^153 + y^7*x^147 + y^12*x^141 + y*x^154 + y^6*x^148 + y^11*x^142 + y^16*x^136 + x^155 + y^10*x^143 + y^15*x^137 + y^4*x^150 + y^14*x^138 + y^3*x^151 + y^8*x^145 + y^13*x^139 + y^12*x^140 + y^17*x^134 + x^154 + y^20*x^130 + y^4*x^149 + y^9*x^143 + y^19*x^131 + y^3*x^150 + y^18*x^132 + y^11*x^140 + y^16*x^134 + x^153 + y^5*x^147 + y^15*x^135 + y^20*x^129 + y^9*x^142 + y^14*x^136 + y^19*x^130 + y^18*x^131 + y^7*x^144 + y^12*x^138 + y*x^151 + y^16*x^133 + y^5*x^146 + y^20*x^128 + y^4*x^147 + y^14*x^135 + y^3*x^148 + y^18*x^130 + y^12*x^137 + y*x^150 + y^11*x^138 + y^16*x^132 + y^10*x^139 + y^15*x^133 + y^4*x^146 + y^9*x^140 + y^14*x^134 + y^3*x^147 + y^8*x^141 + y^18*x^129 + y^17*x^130 + y*x^149 + y^16*x^131 + y^5*x^144 + y^10*x^138 + y^15*x^132 + y^20*x^126 + y^14*x^133 + y^3*x^146 + y^13*x^134 + y^18*x^128 + y*x^148 + y^5*x^143 + y^10*x^137 + y^15*x^131 + y^20*x^125 + y^9*x^138 + y^19*x^126 + y^8*x^139 + y^13*x^133 + y^2*x^146 + y^12*x^134 + y^6*x^141 + y^11*x^135 + y^16*x^129 + x^148 + y^15*x^130 + y^4*x^143 + y^14*x^131 + y^7*x^139 + y^17*x^127 + y*x^146 + x^147 + y^5*x^141 + y^20*x^123 + y^9*x^136 + y^14*x^130 + y^19*x^124 + y^3*x^143 + y^8*x^137 + y^13*x^131 + y^2*x^144 + y^12*x^132 + y*x^145 + y^6*x^139 + y^16*x^127 + y^5*x^140 + y^15*x^128 + y^14*x^129 + y^8*x^136 + y^18*x^124 + y^2*x^143 + y^17*x^125 + y*x^144 + y^11*x^132 + y^16*x^126 + y^5*x^139 + y^15*x^127 + y^20*x^121 + y^13*x^129 + y^2*x^142 + y^7*x^136 + y^11*x^131 + y^16*x^125 + y^5*x^138 + y^10*x^132 + y^20*x^120 + y^9*x^133 + y^13*x^128 + y^7*x^135 + y^12*x^129 + y^17*x^123 + y^6*x^136 + y^11*x^130 + y^16*x^124 + y^5*x^137 + y^4*x^138 + y^9*x^132 + y^3*x^139 + y^13*x^127 + y^12*x^128 + y^11*x^129 + 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y^16*x^32 + y^15*x^33 + y^20*x^27 + y^4*x^46 + y^3*x^47 + y^12*x^36 + y^17*x^30 + y*x^49 + y^6*x^43 + y^11*x^37 + y^16*x^31 + y^5*x^44 + y^10*x^38 + y^15*x^32 + y^20*x^26 + y^19*x^27 + y^13*x^34 + y^18*x^28 + y^2*x^47 + y^16*x^30 + y^5*x^43 + y^3*x^45 + y^13*x^33 + y^7*x^40 + y^12*x^34 + y^6*x^41 + y^11*x^35 + y^16*x^29 + y^5*x^42 + y^4*x^43 + y^2*x^45 + y^12*x^33 + y^15*x^29 + y^4*x^42 + y^9*x^36 + y^8*x^37 + y^13*x^31 + y^7*x^38 + y*x^45 + y^6*x^39 + y^11*x^33 + y^16*x^27 + y^10*x^34 + y^20*x^22 + y^4*x^41 + y^9*x^35 + y^8*x^36 + y^13*x^30 + y^18*x^24 + y^2*x^43 + y^17*x^25 + y*x^44 + y^6*x^38 + y^11*x^32 + y^5*x^39 + y^10*x^33 + y^20*x^21 + y^4*x^40 + y^9*x^34 + y^18*x^23 + y^2*x^42 + y^7*x^36 + y^12*x^30 + y^11*x^31 + y^20*x^20 + y^14*x^27 + y^19*x^21 + y^8*x^34 + y^13*x^28 + y^12*x^29 + y^17*x^23 + x^43 + y^5*x^37 + y^10*x^31 + y^20*x^19 + y^4*x^38 + y^9*x^32 + y^19*x^20 + y^8*x^33 + y^13*x^27 + y^2*x^40 + y^17*x^22 + y*x^41 + y^6*x^35 + y^16*x^23 + y^5*x^36 + y^20*x^18 + y^4*x^37 + y^9*x^31 + y^14*x^25 + y^19*x^19 + y^3*x^38 + y^13*x^26 + y^18*x^20 + y^2*x^39 + y*x^40 + y^10*x^29 + y^15*x^23 + y^4*x^36 + y^14*x^24 + y^8*x^31 + y^13*x^25 + y^18*x^19 + y^2*x^38 + y^7*x^32 + y^12*x^26 + y^17*x^20 + y^6*x^33 + y^16*x^21 + y^10*x^28 + y^15*x^22 + y^9*x^29 + y^14*x^23 + y^19*x^17 + y^8*x^30 + y^18*x^18 + y^2*x^37 + y^12*x^25 + y^17*x^19 + y*x^38 + y^11*x^26 + y^16*x^20 + y^10*x^27 + y^20*x^15 + y^9*x^28 + y^3*x^35 + y^13*x^23 + y^2*x^36 + y^12*x^24 + y*x^37 + y^16*x^19 + x^38 + y^5*x^32 + y^10*x^26 + y^15*x^20 + y^4*x^33 + y^9*x^27 + y^14*x^21 + y^13*x^22 + y^2*x^35 + y^12*x^23 + y*x^36 + y^11*x^24 + y^5*x^31 + y^10*x^25 + y^15*x^19 + y^14*x^20 + y^3*x^33 + y^13*x^21 + y^18*x^15 + y^2*x^34 + y^7*x^28 + y*x^35 + y^11*x^23 + y^16*x^17 + x^36 + y^10*x^24 + y^14*x^19 + y^8*x^26 + y^13*x^20 + y^18*x^14 + y^17*x^15 + y*x^34 + y^10*x^23 + y^20*x^11 + y^9*x^24 + y^8*x^25 + y^13*x^19 + y^7*x^26 + y^17*x^14 + y^16*x^15 + y^5*x^28 + y^15*x^16 + y^20*x^10 + y^9*x^23 + y^14*x^17 + y^19*x^11 + y^8*x^24 + y^13*x^18 + y^7*x^25 + y^12*x^19 + y*x^32 + y^6*x^26 + y^11*x^20 + y^16*x^14 + y^5*x^27 + y^20*x^9 + y^4*x^28 + y^19*x^10 + y^3*x^29 + y^12*x^18 + y^17*x^12 + y*x^31 + y^16*x^13 + x^32 + y^4*x^27 + y^14*x^15 + y^19*x^9 + y^3*x^28 + y^18*x^10 + y^2*x^29 + y^7*x^23 + y^12*x^17 + y^17*x^11 + y*x^30 + y^16*x^12 + x^31 + y^10*x^19 + y^9*x^20 + y^14*x^14 + y^18*x^9 + y^17*x^10 + y*x^29 + y^6*x^23 + y^4*x^25 + y^14*x^13 + y^19*x^7 + y^3*x^26 + y^2*x^27 + y^7*x^21 + y*x^28 + y^6*x^22 + y^11*x^16 + y^16*x^10 + y^5*x^23 + y^10*x^17 + y^4*x^24 + y^8*x^19 + y^18*x^7 + y^7*x^20 + y*x^27 + y^11*x^15 + y^16*x^9 + y^10*x^16 + y^15*x^10 + y^9*x^17 + y^14*x^11 + y^3*x^24 + y^8*x^18 + y^13*x^12 + y^2*x^25 + y^7*x^19 + y^12*x^13 + y^6*x^20 + y^11*x^14 + x^27 + y^5*x^21 + y^10*x^15 + y^15*x^9 + y^20*x^3 + y^19*x^4 + y^3*x^23 + y^8*x^17 + y^12*x^12 + y^11*x^13 + y^5*x^20 + y^10*x^14 + y^15*x^8 + y^4*x^21 + y^14*x^9 + y^19*x^3 + y^13*x^10 + y^18*x^4 + y^11*x^12 + y^16*x^6 + x^25 + y^4*x^20 + y^9*x^14 + y^14*x^8 + y^19*x^2 + y^3*x^21 + y^13*x^9 + y^18*x^3 + y*x^23 + y^6*x^17 + y^11*x^11 + y^16*x^5 + y^20 + y^9*x^13 + y^19*x + y^3*x^20 + y^8*x^14 + y^13*x^8 + y^18*x^2 + y^2*x^21 + y*x^22 + y^11*x^10 + y^16*x^4 + x^23 + y^15*x^5 + y^3*x^19 + y^13*x^7 + y^7*x^14 + y^17*x^2 + y^16*x^3 + y^5*x^16 + y^15*x^4 + y^4*x^17 + y^9*x^11 + y^14*x^5 + y^3*x^18 + y^8*x^12 + y^13*x^6 + y^2*x^19 + y^17*x + y^15*x^3 + y^9*x^10 + y^14*x^4 + y^2*x^18 + y^12*x^6 + y^17 + y^11*x^7 + x^20 + y^15*x^2 + y^4*x^15 + y^9*x^9 + y^8*x^10 + y^13*x^4 + y^2*x^17 + y^12*x^5 + y^11*x^6 + y^16 + y^10*x^7 + y^15*x + y^14*x^2 + y^13*x^3 + y^2*x^16 + y^6*x^11 + y^11*x^5 + x^18 + y^4*x^13 + y^14*x + y^3*x^14 + y^2*x^15 + y^7*x^9 + y^12*x^3 + y*x^16 + y^6*x^10 + y^4*x^12 + y^14 + y^3*x^13 + y^8*x^7 + y^7*x^8 + y*x^15 + y^11*x^3 + x^16 + y^10*x^4 + y^4*x^11 + y^9*x^5 + y^3*x^12 + y^2*x^13 + y^7*x^7 + y^11*x^2 + x^15 + y^4*x^10 + y^3*x^11 + y^2*x^12 + y^12 + y*x^13 + x^14 + y^5*x^8 + y^10*x^2 + y^4*x^9 + y^8*x^4 + y^2*x^11 + y^7*x^5 + y*x^12 + y^11 + x^13 + y^5*x^7 + y^4*x^8 + y^8*x^3 + y^6*x^5 + y^5*x^6 + y^4*x^7 + y^9*x + y^3*x^8 + y^7*x^3 + y*x^10 + y^5*x^5 + y^4*x^6 + y^9 + y^3*x^7 + y*x^9 + y^5*x^4 + y^4*x^5 + y^8 + y^7*x + y*x^8 + y^5*x^3 + y^4*x^4 + y^3*x^5 + y^2*x^6 + y*x^7 + y^6*x + x^7 + y^5*x + y^4*x^2 + y^4*x + y^3*x^2 + y^2*x^3 + y^4 + y^3 + y^2*x 5 y^3*x^206 + y^13*x^194 + y^7*x^201 + y^17*x^189 + y*x^208 + y^6*x^202 + y^16*x^190 + x^209 + y^5*x^203 + y^10*x^197 + y^4*x^204 + y^9*x^198 + y^19*x^186 + y^3*x^205 + y^2*x^206 + y^7*x^200 + y^12*x^194 + y^17*x^188 + y*x^207 + y^16*x^189 + y^10*x^196 + y^20*x^184 + y^4*x^203 + y^14*x^191 + y^3*x^204 + y^2*x^205 + y^7*x^199 + y^12*x^193 + y^17*x^187 + y^6*x^200 + y^11*x^194 + y^5*x^201 + y^4*x^202 + y^19*x^184 + y^3*x^203 + y^13*x^191 + y^7*x^198 + y^17*x^186 + y*x^205 + y^6*x^199 + y^16*x^187 + x^206 + y^20*x^182 + y^4*x^201 + y^9*x^195 + y^19*x^183 + y^7*x^197 + y^17*x^185 + y*x^204 + y^11*x^192 + x^205 + y^5*x^199 + y^20*x^181 + y^4*x^200 + y^8*x^195 + y^2*x^202 + y^17*x^184 + y^11*x^191 + y^16*x^185 + x^204 + y^5*x^198 + y^10*x^192 + y^20*x^180 + y^9*x^193 + y^14*x^187 + y^19*x^181 + y^17*x^183 + y^6*x^196 + y^4*x^198 + y^14*x^186 + y^8*x^193 + y^7*x^194 + y^6*x^195 + y^11*x^189 + y^16*x^183 + x^202 + y^5*x^196 + y^10*x^190 + y^20*x^178 + y^9*x^191 + y^19*x^179 + y^3*x^198 + y^8*x^192 + y^13*x^186 + y^18*x^180 + y^7*x^193 + y*x^200 + y^10*x^189 + y^15*x^183 + y^20*x^177 + y^4*x^196 + y^9*x^190 + y^14*x^184 + y^3*x^197 + y^8*x^191 + y^18*x^179 + y^7*x^192 + y^12*x^186 + y^6*x^193 + y^11*x^187 + y^16*x^181 + y^20*x^176 + y^9*x^189 + y^14*x^183 + y^3*x^196 + y^8*x^190 + y^13*x^184 + y^17*x^179 + y*x^198 + y^6*x^192 + x^199 + y^5*x^193 + y^15*x^181 + y^4*x^194 + y^3*x^195 + y^13*x^183 + y^18*x^177 + y^7*x^190 + y^12*x^184 + y*x^197 + y^6*x^191 + y^16*x^179 + y^19*x^175 + y^13*x^182 + y^18*x^176 + y^2*x^195 + y^12*x^183 + y^17*x^177 + y*x^196 + y^11*x^184 + x^197 + y^5*x^191 + y^15*x^179 + y^20*x^173 + y^4*x^192 + y^3*x^193 + y^8*x^187 + y^18*x^175 + y^2*x^194 + y*x^195 + y^6*x^189 + y^20*x^172 + y^19*x^173 + y^13*x^180 + y^18*x^174 + y^7*x^187 + y^17*x^175 + y*x^194 + y^6*x^188 + y^11*x^182 + x^195 + y^5*x^189 + y^15*x^177 + y^9*x^184 + y^19*x^172 + y^13*x^179 + y^2*x^192 + y^7*x^186 + y*x^193 + x^194 + y^10*x^182 + y^9*x^183 + y^8*x^184 + y^18*x^172 + y^12*x^179 + y*x^192 + y^6*x^186 + y^11*x^180 + x^193 + y^5*x^187 + y^10*x^181 + y^15*x^175 + y^4*x^188 + y^9*x^182 + y^14*x^176 + y^3*x^189 + y^13*x^177 + y^18*x^171 + y^7*x^184 + y^17*x^172 + y*x^191 + y^6*x^185 + y^16*x^173 + x^192 + y^10*x^180 + y^15*x^174 + y^20*x^168 + y^9*x^181 + y^14*x^175 + y^19*x^169 + y^3*x^188 + y^13*x^176 + y^2*x^189 + y^17*x^171 + y*x^190 + y^6*x^184 + y^11*x^178 + y^16*x^172 + x^191 + y^5*x^185 + y^15*x^173 + y^9*x^180 + y^14*x^174 + y^8*x^181 + y^13*x^175 + y^7*x^182 + y^12*x^176 + y^17*x^170 + y^10*x^178 + y^4*x^185 + y^19*x^167 + y^8*x^180 + y^18*x^168 + y^12*x^175 + y^6*x^182 + y^10*x^177 + y^15*x^171 + y^20*x^165 + y^9*x^178 + y^19*x^166 + y^3*x^185 + y^8*x^179 + y^2*x^186 + y^12*x^174 + y^17*x^168 + x^188 + y^15*x^170 + y^20*x^164 + y^14*x^171 + y^3*x^184 + y^7*x^179 + y^6*x^180 + y^16*x^168 + y^5*x^181 + y^15*x^169 + y^9*x^176 + y^14*x^170 + y^8*x^177 + y^13*x^171 + y^18*x^165 + y^2*x^184 + y^7*x^178 + y^12*x^172 + y*x^185 + y^6*x^179 + y^11*x^173 + y^10*x^174 + y^4*x^181 + y^9*x^175 + y^14*x^169 + y^19*x^163 + y^2*x^183 + y^7*x^177 + y^12*x^171 + y^17*x^165 + y*x^184 + y^5*x^179 + y^10*x^173 + y^20*x^161 + y^9*x^174 + y^19*x^162 + y^13*x^169 + y^18*x^163 + y^7*x^176 + y^12*x^170 + y^17*x^164 + y^6*x^177 + y^11*x^171 + y^10*x^172 + y^14*x^167 + y^3*x^180 + y^8*x^174 + y^18*x^162 + y^7*x^175 + y^17*x^163 + y^10*x^171 + y^15*x^165 + y^4*x^178 + y^13*x^167 + y^18*x^161 + y^2*x^180 + y^17*x^162 + y*x^181 + y^11*x^169 + y^20*x^158 + y^14*x^165 + y^18*x^160 + y^17*x^161 + y*x^180 + y^6*x^174 + y^16*x^162 + x^181 + y^5*x^175 + y^10*x^169 + y^15*x^163 + y^20*x^157 + y^14*x^164 + y^8*x^171 + y^13*x^165 + y^12*x^166 + y^17*x^160 + y*x^179 + y^11*x^167 + x^180 + y^10*x^168 + y^15*x^162 + y^19*x^157 + y^8*x^170 + y^13*x^164 + y^18*x^158 + y^2*x^177 + y^7*x^171 + y^12*x^165 + y^17*x^159 + y*x^178 + y^5*x^173 + y^15*x^161 + y^4*x^174 + y^9*x^168 + y^14*x^162 + y^19*x^156 + y^17*x^158 + y^5*x^172 + y^15*x^160 + y^20*x^154 + y^14*x^161 + y^13*x^162 + y^2*x^175 + y^17*x^157 + y^11*x^164 + y^20*x^153 + y^9*x^166 + y^19*x^154 + y^8*x^167 + y^13*x^161 + y^7*x^168 + y^12*x^162 + y*x^175 + y^6*x^169 + y^15*x^158 + y^20*x^152 + y^4*x^171 + y^9*x^165 + y^19*x^153 + y^3*x^172 + y^13*x^160 + y^2*x^173 + y^7*x^167 + y^12*x^161 + y^11*x^162 + y^10*x^163 + y^15*x^157 + y^20*x^151 + y^13*x^159 + y^18*x^153 + y^2*x^172 + y^17*x^154 + y^6*x^167 + y^11*x^161 + y^5*x^168 + y^15*x^156 + y^20*x^150 + y^4*x^169 + y^9*x^163 + y^14*x^157 + y^13*x^158 + y^18*x^152 + y^2*x^171 + y^7*x^165 + y^17*x^153 + y*x^172 + y^16*x^154 + y^10*x^161 + y^15*x^155 + y^9*x^162 + y^8*x^163 + y^13*x^157 + 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y^9*x^6 + y^13*x + y^6*x^9 + x^16 + y^8*x^6 + y^2*x^13 + x^15 + y^10*x^3 + y^4*x^10 + y^8*x^5 + y^2*x^12 + y^7*x^6 + y*x^13 + y^11*x + x^14 + y^4*x^9 + y^2*x^11 + y^10*x + y^4*x^8 + y^3*x^9 + y^8*x^3 + y^7*x^4 + y^6*x^5 + x^12 + y^4*x^7 + y^3*x^8 + y^8*x^2 + y^2*x^9 + y^7*x^3 + y*x^10 + y^3*x^7 + y^8*x + y*x^9 + y^5*x^4 + y^3*x^6 + y^2*x^7 + y^7*x + y*x^8 + y^6*x^2 + x^9 + y^5*x^3 + y^3*x^5 + y^2*x^6 + y*x^7 + x^8 + y^5*x^2 + y^4*x^3 + y*x^6 + y^4*x^2 + x^6 + y^3*x^2 + y^2*x^3 + y^3*x + y*x^3 + y^2*x + y*x^2 + x^3 6 y^19*x^187 + y^3*x^206 + y^8*x^200 + y^13*x^194 + y^18*x^188 + y^2*x^207 + y^7*x^201 + y^6*x^202 + y^11*x^196 + x^209 + y^4*x^204 + y^9*x^198 + y^19*x^186 + y^13*x^193 + y^18*x^187 + y^7*x^200 + y^12*x^194 + y*x^207 + y^11*x^195 + y^16*x^189 + x^208 + y^5*x^202 + y^15*x^190 + y^20*x^184 + y^19*x^185 + y^3*x^204 + y^8*x^198 + y^13*x^192 + y^2*x^205 + y^7*x^199 + y^12*x^193 + y*x^206 + y^6*x^200 + y^11*x^194 + y^16*x^188 + y^5*x^201 + y^10*x^195 + y^20*x^183 + y^9*x^196 + 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y^11*x^46 + x^59 + y^4*x^54 + y^9*x^48 + y^14*x^42 + y^3*x^55 + y^8*x^49 + y^13*x^43 + y^17*x^38 + y^11*x^45 + y^16*x^39 + y^5*x^52 + y^10*x^46 + y^15*x^40 + y^9*x^47 + y^14*x^41 + y^3*x^54 + y^8*x^48 + y^13*x^42 + y^12*x^43 + y*x^56 + y^16*x^38 + x^57 + y^14*x^40 + y^19*x^34 + y^3*x^53 + y^13*x^41 + y^18*x^35 + y^12*x^42 + y*x^55 + y^6*x^49 + y^11*x^43 + y^5*x^50 + y^10*x^44 + y^15*x^38 + y^20*x^32 + y^4*x^51 + y^9*x^45 + y^19*x^33 + y^3*x^52 + y^8*x^46 + y^13*x^40 + y^2*x^53 + y^17*x^35 + y^11*x^42 + y^16*x^36 + y^15*x^37 + y^9*x^44 + y^14*x^38 + y^19*x^32 + y^13*x^39 + y^18*x^33 + y^2*x^52 + y^7*x^46 + y^17*x^34 + y*x^53 + x^54 + y^5*x^48 + y^15*x^36 + y^9*x^43 + y^13*x^38 + y^18*x^32 + y^2*x^51 + y^12*x^39 + y*x^52 + y^5*x^47 + y^15*x^35 + y^20*x^29 + y^4*x^48 + y^9*x^42 + y^14*x^36 + y^19*x^30 + y^13*x^37 + y^18*x^31 + y^12*x^38 + y^17*x^32 + y^6*x^45 + y^11*x^39 + y^16*x^33 + y^5*x^46 + y^10*x^40 + y^15*x^34 + y^4*x^47 + y^9*x^41 + y^14*x^35 + y^19*x^29 + y^3*x^48 + y^13*x^36 + y^2*x^49 + y^12*x^37 + y*x^50 + y^11*x^38 + y^16*x^32 + x^51 + y^9*x^40 + y^14*x^34 + y^3*x^47 + y^8*x^41 + y^13*x^35 + y^2*x^48 + y^12*x^36 + y^6*x^43 + y^5*x^44 + y^15*x^32 + y^9*x^39 + y^14*x^33 + y^19*x^27 + y^8*x^40 + y^18*x^28 + y^2*x^47 + y^7*x^41 + y^17*x^29 + y^6*x^42 + y^11*x^36 + y^16*x^30 + x^49 + y^5*x^43 + y^10*x^37 + y^15*x^31 + y^20*x^25 + y^4*x^44 + y^14*x^32 + y^7*x^40 + y^12*x^34 + y^17*x^28 + y^6*x^41 + y^16*x^29 + y^10*x^36 + y^15*x^30 + y^20*x^24 + y^4*x^43 + y^9*x^37 + y^14*x^31 + y^18*x^26 + y^2*x^45 + y^12*x^33 + y^6*x^40 + y^11*x^34 + x^47 + y^5*x^41 + y^10*x^35 + y^20*x^23 + y^4*x^42 + y^8*x^37 + y^13*x^31 + y^2*x^44 + y^7*x^38 + y^6*x^39 + y^11*x^33 + y^5*x^40 + y^15*x^28 + y^20*x^22 + y^19*x^23 + y^8*x^36 + y^7*x^37 + y^12*x^31 + y*x^44 + y^6*x^38 + y^5*x^39 + y^10*x^33 + y^15*x^27 + y^20*x^21 + y^4*x^40 + y^9*x^34 + y^14*x^28 + y^19*x^22 + y^3*x^41 + y^8*x^35 + y^13*x^29 + y^18*x^23 + y^2*x^42 + y^12*x^30 + y^17*x^24 + y*x^43 + y^6*x^37 + y^11*x^31 + y^5*x^38 + y^10*x^32 + y^20*x^20 + y^9*x^33 + y^19*x^21 + y^3*x^40 + y^2*x^41 + y^6*x^36 + y^11*x^30 + y^16*x^24 + x^43 + y^5*x^37 + y^10*x^31 + y^20*x^19 + y^4*x^38 + y^14*x^26 + y^19*x^20 + y^8*x^33 + y^18*x^21 + y^2*x^40 + y^17*x^22 + y^11*x^29 + y^16*x^23 + y^5*x^36 + y^20*x^18 + y^9*x^31 + y^14*x^25 + y^19*x^19 + y^3*x^38 + y^8*x^32 + y^18*x^20 + y^12*x^27 + y*x^40 + y^6*x^34 + y^16*x^22 + y^5*x^35 + y^15*x^23 + y^4*x^36 + y^9*x^30 + y^19*x^18 + y^7*x^32 + y^12*x^26 + y^17*x^20 + y^11*x^27 + x^40 + y^4*x^35 + y^9*x^29 + y^19*x^17 + y^3*x^36 + y^8*x^30 + y^13*x^24 + y^2*x^37 + y^7*x^31 + y^16*x^20 + x^39 + y^5*x^33 + y^10*x^27 + y^15*x^21 + y^4*x^34 + y^9*x^28 + y^14*x^22 + y^19*x^16 + y^3*x^35 + y^8*x^29 + y^13*x^23 + y^18*x^17 + y^2*x^36 + y^7*x^30 + y^12*x^24 + y*x^37 + y^6*x^31 + y^16*x^19 + x^38 + y^15*x^20 + y^20*x^14 + y^9*x^27 + y^3*x^34 + y^7*x^29 + y^6*x^30 + y^11*x^24 + x^37 + y^10*x^25 + y^15*x^19 + y^4*x^32 + y^3*x^33 + y^13*x^21 + y^18*x^15 + y^7*x^28 + y^16*x^17 + x^36 + y^5*x^30 + y^10*x^24 + y^15*x^18 + y^8*x^26 + y^13*x^20 + y^2*x^33 + y^7*x^27 + y^12*x^21 + y^6*x^28 + y^11*x^22 + y^4*x^30 + y^9*x^24 + y^3*x^31 + y^8*x^25 + y^18*x^13 + y^7*x^26 + y^6*x^27 + y^16*x^15 + y^5*x^28 + y^15*x^16 + y^4*x^29 + y^14*x^17 + y^3*x^30 + y^8*x^24 + y^18*x^12 + y^7*x^25 + y^17*x^13 + y*x^32 + y^6*x^26 + y^5*x^27 + y^20*x^9 + y^9*x^22 + y^14*x^16 + y^3*x^29 + y^8*x^23 + y^18*x^11 + y^7*x^24 + y^12*x^18 + y^17*x^12 + y*x^31 + y^6*x^25 + y^11*x^19 + y^5*x^26 + y^10*x^20 + y^15*x^14 + y^4*x^27 + y^12*x^17 + y^17*x^11 + y^6*x^24 + y^5*x^25 + y^20*x^7 + y^4*x^26 + y^9*x^20 + y^14*x^14 + y^3*x^27 + y^13*x^15 + y^2*x^28 + y^7*x^22 + y^6*x^23 + y^16*x^11 + x^30 + y^15*x^12 + y^20*x^6 + y^4*x^25 + y^9*x^19 + y^8*x^20 + y^13*x^14 + y^18*x^8 + y^2*x^27 + y^17*x^9 + y*x^28 + y^16*x^10 + x^29 + y^15*x^11 + y^20*x^5 + y^4*x^24 + y^9*x^18 + y^3*x^25 + y^18*x^7 + y^7*x^20 + y^12*x^14 + y*x^27 + y^11*x^15 + y^15*x^10 + y^4*x^23 + y^9*x^17 + y^14*x^11 + y^8*x^18 + y^13*x^12 + y^2*x^25 + x^27 + y^10*x^15 + y^15*x^9 + y^4*x^22 + y^14*x^10 + y^19*x^4 + y^8*x^17 + y^18*x^5 + y^2*x^24 + y^17*x^6 + y^6*x^19 + y^11*x^13 + y^10*x^14 + y^20*x^2 + y^4*x^21 + y^9*x^15 + y^14*x^9 + y^8*x^16 + y^13*x^10 + y^2*x^23 + y^6*x^18 + y^11*x^12 + y^15*x^7 + y^19*x^2 + y^18*x^3 + y^2*x^22 + y^12*x^10 + y^17*x^4 + y*x^23 + y^6*x^17 + y^16*x^5 + y^5*x^18 + y^10*x^12 + y^20 + y^13*x^8 + y^18*x^2 + y^2*x^21 + y^6*x^16 + y^11*x^10 + y^10*x^11 + y^9*x^12 + y^14*x^6 + y^3*x^19 + y^8*x^13 + y^7*x^14 + y*x^21 + y^11*x^9 + y^4*x^17 + y^9*x^11 + y^3*x^18 + y^8*x^12 + y^13*x^6 + y^2*x^19 + y^12*x^7 + y^17*x + y*x^20 + y^6*x^14 + y^11*x^8 + y^5*x^15 + y^10*x^9 + y^15*x^3 + y^9*x^10 + y^14*x^4 + y^3*x^17 + y^8*x^11 + y^13*x^5 + y^7*x^12 + y^12*x^6 + y^17 + y*x^19 + y^6*x^13 + y^16*x + x^20 + y^5*x^14 + y^4*x^15 + y^14*x^3 + y^8*x^10 + y^13*x^4 + y^12*x^5 + y*x^18 + y^6*x^12 + y^11*x^6 + y^16 + x^19 + y^10*x^7 + y^8*x^9 + y^13*x^3 + y^6*x^11 + x^18 + y^10*x^6 + y^14*x + y^3*x^14 + y^13*x^2 + y^2*x^15 + y^12*x^3 + y^6*x^10 + y^5*x^11 + y^4*x^12 + y^9*x^6 + y^14 + y^13*x + y^2*x^14 + y^7*x^8 + y*x^15 + y^6*x^9 + y^5*x^10 + y^10*x^4 + y^9*x^5 + y^2*x^13 + y^7*x^7 + y^6*x^8 + x^15 + y^10*x^3 + y^9*x^4 + y^3*x^11 + y^8*x^5 + y^2*x^12 + y^12 + y*x^13 + y^6*x^7 + y^11*x + y^5*x^8 + y^4*x^9 + y^9*x^3 + y^8*x^4 + y*x^12 + y^6*x^6 + y^11 + x^13 + y^5*x^7 + y^10*x + y^2*x^10 + y^7*x^4 + y*x^11 + y^6*x^5 + y^9*x + y^3*x^8 + y^7*x^3 + x^11 + y^4*x^6 + y^9 + y^8*x + y^2*x^8 + y^7*x^2 + y^6*x^3 + y^4*x^5 + y^8 + y^2*x^7 + x^9 + y^5*x^3 + y^4*x^4 + y^6*x + x^8 + y^5*x^2 + y^4*x^3 + y^3*x^4 + x^7 + y^5*x + y^4*x^2 + y^3*x^3 + x^6 + y^4*x + y^3*x^2 + y*x^4 + x^5 + y^4 + y^3*x + y^2*x^2 + y*x^3 + x^4 + y^3 + x^3 8 y^9*x^199 + y^19*x^187 + y^8*x^200 + y^18*x^188 + y^17*x^189 + y*x^208 + y^16*x^190 + y^5*x^203 + y^10*x^197 + y^8*x^199 + y^13*x^193 + y^18*x^187 + y^2*x^206 + y^7*x^200 + y^17*x^188 + y^11*x^195 + y^16*x^189 + x^208 + y^10*x^196 + y^15*x^190 + y^4*x^203 + y^13*x^192 + y^17*x^187 + y^6*x^200 + x^207 + y^10*x^195 + y^4*x^202 + y^18*x^185 + y^7*x^198 + y^12*x^192 + y^17*x^186 + y*x^205 + y^11*x^193 + y^20*x^182 + y^9*x^195 + y^14*x^189 + y^19*x^183 + y^13*x^190 + y^17*x^185 + y*x^204 + y^6*x^198 + x^205 + y^10*x^193 + y^15*x^187 + y^20*x^181 + y^19*x^182 + y^3*x^201 + y^8*x^195 + y^13*x^189 + y^18*x^183 + y^2*x^202 + y*x^203 + y^11*x^191 + y^16*x^185 + y^5*x^198 + y^10*x^192 + y^20*x^180 + y^4*x^199 + y^14*x^187 + y^19*x^181 + y^3*x^200 + y^17*x^183 + y*x^202 + y^6*x^196 + y^16*x^184 + y^10*x^191 + y^20*x^179 + y^2*x^200 + y^12*x^188 + y*x^201 + y^5*x^196 + y^15*x^184 + y^20*x^178 + y^14*x^185 + y^3*x^198 + y^13*x^186 + y^2*x^199 + y^12*x^187 + y^17*x^181 + y*x^200 + y^11*x^188 + y^16*x^182 + x^201 + y^15*x^183 + y^20*x^177 + y^4*x^196 + y^14*x^184 + y^8*x^191 + y^2*x^198 + y^12*x^186 + y^16*x^181 + x^200 + y^5*x^194 + y^9*x^189 + y^14*x^183 + y^3*x^196 + y^13*x^184 + y^18*x^178 + y*x^198 + y^6*x^192 + x^199 + y^10*x^187 + y^20*x^175 + y^4*x^194 + y^9*x^188 + 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+ y^4*x^186 + y^9*x^180 + y^18*x^169 + y^2*x^188 + y^7*x^182 + y^12*x^176 + y^17*x^170 + y^6*x^183 + y^11*x^177 + y^5*x^184 + y^15*x^172 + y^20*x^166 + y^19*x^167 + y^3*x^186 + y^18*x^168 + y^17*x^169 + y^11*x^176 + y^16*x^170 + x^189 + y^10*x^177 + y^20*x^165 + y^4*x^184 + y^19*x^166 + y^13*x^173 + y^18*x^167 + y^2*x^186 + y^17*x^168 + y^11*x^175 + y^5*x^182 + y^10*x^176 + y^20*x^164 + y^9*x^177 + y^14*x^171 + y^19*x^165 + y^13*x^172 + y^18*x^166 + y^2*x^185 + y^6*x^180 + y^11*x^174 + x^187 + y^5*x^181 + y^10*x^175 + y^15*x^169 + y^20*x^163 + y^4*x^182 + y^14*x^170 + y^19*x^164 + y^8*x^177 + y^18*x^165 + y^2*x^184 + y^7*x^178 + y*x^185 + y^6*x^179 + y^11*x^173 + x^186 + y^9*x^175 + y^14*x^169 + y^8*x^176 + y^18*x^164 + y^7*x^177 + y^6*x^178 + y^11*x^172 + y^16*x^166 + x^185 + y^10*x^173 + y^19*x^162 + y^3*x^181 + y^12*x^170 + y*x^183 + y^11*x^171 + y^5*x^178 + y^15*x^166 + y^4*x^179 + y^9*x^173 + y^14*x^167 + y^3*x^180 + y^8*x^174 + y^13*x^168 + y^18*x^162 + y^12*x^169 + y*x^182 + y^6*x^176 + y^16*x^164 + x^183 + y^5*x^177 + y^15*x^165 + y^4*x^178 + y^14*x^166 + y^13*x^167 + y^18*x^161 + y^2*x^180 + y^12*x^168 + y^17*x^162 + y*x^181 + y^6*x^175 + y^16*x^163 + y^5*x^176 + y^15*x^164 + y^20*x^158 + y^4*x^177 + y^19*x^159 + y^3*x^178 + y^13*x^166 + y^12*x^167 + y^17*x^161 + y*x^180 + y^16*x^162 + y^5*x^175 + y^20*x^157 + y^4*x^176 + y^14*x^164 + y^19*x^158 + y^3*x^177 + y^8*x^171 + y^13*x^165 + y^2*x^178 + y^7*x^172 + y^17*x^160 + y^6*x^173 + x^180 + y^5*x^174 + y^10*x^168 + y^15*x^162 + y^20*x^156 + y^4*x^175 + y^3*x^176 + y^8*x^170 + y^13*x^164 + y^7*x^171 + y^6*x^172 + y^11*x^166 + y^5*x^173 + y^20*x^155 + y^4*x^174 + y^14*x^162 + y^19*x^156 + y^3*x^175 + y^8*x^169 + y^7*x^170 + y^17*x^158 + y^11*x^165 + x^178 + y^9*x^167 + y^14*x^161 + y^19*x^155 + y^8*x^168 + y^13*x^162 + y^7*x^169 + y^17*x^157 + y^6*x^170 + y^11*x^164 + y^16*x^158 + y^5*x^171 + y^10*x^165 + y^15*x^159 + y^20*x^153 + y^4*x^172 + y^9*x^166 + y^14*x^160 + y^19*x^154 + y^3*x^173 + y*x^175 + y^6*x^169 + y^11*x^163 + x^176 + y^5*x^170 + y^10*x^164 + y^15*x^158 + y^20*x^152 + y^14*x^159 + y^8*x^166 + y^2*x^173 + y^7*x^167 + y^17*x^155 + y^6*x^168 + y^11*x^162 + x^175 + y^15*x^157 + y^4*x^170 + y^19*x^152 + y^12*x^160 + y^5*x^168 + y^10*x^162 + y^15*x^156 + y^20*x^150 + y^14*x^157 + y^19*x^151 + y^3*x^170 + y^8*x^164 + y^18*x^152 + y^2*x^171 + y^7*x^165 + y^12*x^159 + y^11*x^160 + y^16*x^154 + x^173 + y^10*x^161 + y^20*x^149 + y^4*x^168 + y^3*x^169 + y^8*x^163 + y^18*x^151 + y^12*x^158 + y*x^171 + y^6*x^165 + y^16*x^153 + x^172 + y^5*x^166 + y^9*x^161 + y^13*x^156 + y^18*x^150 + y^2*x^169 + y^7*x^163 + y^12*x^157 + y^17*x^151 + y^6*x^164 + y^11*x^158 + y^16*x^152 + y^10*x^159 + y^9*x^160 + y^14*x^154 + y^19*x^148 + y^18*x^149 + y^7*x^162 + y^17*x^150 + y*x^169 + y^6*x^163 + x^170 + y^9*x^159 + y^19*x^147 + y^3*x^166 + y^8*x^160 + y^13*x^154 + y^7*x^161 + y*x^168 + y^11*x^156 + y^10*x^157 + y^20*x^145 + y^9*x^158 + y^14*x^152 + y^19*x^146 + y^3*x^165 + y^13*x^153 + y^18*x^147 + y^6*x^161 + y^11*x^155 + x^168 + y^5*x^162 + y^10*x^156 + y^15*x^150 + y^20*x^144 + y^4*x^163 + y^9*x^157 + y^19*x^145 + y^8*x^158 + y^7*x^159 + y^12*x^153 + y^17*x^147 + x^167 + y^10*x^155 + y^4*x^162 + y^9*x^156 + y^14*x^150 + y^19*x^144 + y^3*x^163 + y^13*x^151 + y^18*x^145 + y^7*x^158 + y^12*x^152 + y^17*x^146 + y^6*x^159 + y^11*x^153 + y^16*x^147 + x^166 + y^10*x^154 + y^4*x^161 + y^9*x^155 + y^14*x^149 + y^19*x^143 + y^8*x^156 + y^2*x^163 + y^12*x^151 + y^16*x^146 + y^5*x^159 + y^10*x^153 + y^15*x^147 + y^20*x^141 + y^9*x^154 + y^3*x^161 + y^18*x^143 + y^2*x^162 + y^7*x^156 + y^17*x^144 + y*x^163 + y^6*x^157 + y^11*x^151 + y^16*x^145 + y^20*x^140 + y^4*x^159 + y^14*x^147 + y^8*x^154 + y^2*x^161 + y^7*x^155 + y^12*x^149 + y^6*x^156 + x^163 + y^5*x^157 + y^10*x^151 + y^14*x^146 + y^19*x^140 + y^8*x^153 + y^13*x^147 + y^2*x^160 + y^12*x^148 + y*x^161 + y^6*x^155 + y^16*x^143 + x^162 + y^10*x^150 + y^15*x^144 + y^3*x^158 + y^8*x^152 + y^7*x^153 + y^12*x^147 + y*x^160 + y^16*x^142 + y^5*x^155 + y^10*x^149 + y^9*x^150 + y^14*x^144 + y^19*x^138 + y^3*x^157 + y^8*x^151 + y^13*x^145 + y^18*x^139 + y^12*x^146 + y^17*x^140 + y*x^159 + y^16*x^141 + x^160 + y^5*x^154 + y^15*x^142 + y^20*x^136 + y^9*x^149 + y^3*x^156 + y^8*x^150 + y^7*x^151 + y^17*x^139 + y^16*x^140 + y^15*x^141 + y^9*x^148 + y^3*x^155 + y^8*x^149 + y^13*x^143 + y^2*x^156 + y^12*x^144 + y^17*x^138 + y^16*x^139 + y^5*x^152 + y^10*x^146 + y^15*x^140 + y^20*x^134 + y^9*x^147 + y^14*x^141 + y*x^156 + y^11*x^144 + y^16*x^138 + y^10*x^145 + y^9*x^146 + y^14*x^140 + y^19*x^134 + y^8*x^147 + y^13*x^141 + y^18*x^135 + y^17*x^136 + y*x^155 + y^11*x^143 + y^16*x^137 + y^5*x^150 + y^10*x^144 + y^20*x^132 + y^4*x^151 + y^9*x^145 + y^14*x^139 + y^2*x^153 + y^12*x^141 + y^17*x^135 + y*x^154 + y^6*x^148 + y^11*x^142 + y^5*x^149 + y^10*x^143 + y^15*x^137 + y^20*x^131 + y^14*x^138 + y^19*x^132 + y^8*x^145 + y^18*x^133 + y^7*x^146 + y^6*x^147 + y^11*x^141 + x^154 + y^10*x^142 + y^15*x^136 + y^20*x^130 + y^8*x^144 + y^2*x^151 + y^7*x^145 + y^12*x^139 + y^17*x^133 + y*x^152 + y^11*x^140 + x^153 + y^5*x^147 + y^20*x^129 + y^4*x^148 + y^9*x^142 + y^14*x^136 + y^19*x^130 + y^3*x^149 + y^8*x^143 + y^13*x^137 + y^18*x^131 + y^17*x^132 + y*x^151 + y^6*x^145 + y^11*x^139 + x^152 + y^5*x^146 + y^15*x^134 + y^4*x^147 + y^9*x^141 + y^14*x^135 + y^8*x^142 + y^7*x^143 + y^12*x^137 + y^17*x^131 + y^6*x^144 + x^151 + y^10*x^139 + y^15*x^133 + y^20*x^127 + y^9*x^140 + y^14*x^134 + y^3*x^147 + y^18*x^129 + y^2*x^148 + y^7*x^142 + y^17*x^130 + y*x^149 + y^6*x^143 + y^11*x^137 + y^5*x^144 + y^15*x^132 + y^4*x^145 + y^9*x^139 + y^19*x^127 + y^3*x^146 + y^13*x^134 + y^18*x^128 + y^2*x^147 + y^17*x^129 + y^6*x^142 + y^11*x^136 + y^16*x^130 + y^5*x^143 + y^10*x^137 + y^20*x^125 + y^14*x^132 + y^19*x^126 + y^3*x^145 + y^8*x^139 + y^13*x^133 + y^18*x^127 + y^7*x^140 + y^12*x^134 + y*x^147 + y^6*x^141 + y^10*x^136 + y^15*x^130 + y^20*x^124 + y^19*x^125 + y^13*x^132 + y^18*x^126 + y^2*x^145 + y^7*x^139 + y^6*x^140 + y^16*x^128 + y^15*x^129 + y^20*x^123 + y^4*x^142 + y^9*x^136 + y^19*x^124 + y^8*x^137 + y^18*x^125 + y^2*x^144 + y^12*x^132 + y*x^145 + y^5*x^140 + y^20*x^122 + y^4*x^141 + y^19*x^123 + y^3*x^142 + y^18*x^124 + y^17*x^125 + y*x^144 + y^6*x^138 + y^11*x^132 + y^16*x^126 + x^145 + y^5*x^139 + y^10*x^133 + y^15*x^127 + y^8*x^135 + y^2*x^142 + y^7*x^136 + y*x^143 + y^6*x^137 + y^11*x^131 + y^16*x^125 + x^144 + y^4*x^139 + y^9*x^133 + y^19*x^121 + y^3*x^140 + y^18*x^122 + y^2*x^141 + y^12*x^129 + y*x^142 + y^16*x^124 + x^143 + y^10*x^131 + y^15*x^125 + y^20*x^119 + y^14*x^126 + y^19*x^120 + y^8*x^133 + y^7*x^134 + y^12*x^128 + y*x^141 + y^10*x^130 + y^4*x^137 + y^13*x^126 + y^12*x^127 + y*x^140 + y^6*x^134 + y^11*x^128 + y^16*x^122 + x^141 + y^4*x^136 + y^9*x^130 + y^14*x^124 + y^19*x^118 + y^3*x^137 + y^8*x^131 + y^17*x^120 + y*x^139 + y^6*x^133 + y^11*x^127 + x^140 + y^5*x^134 + y^10*x^128 + y^20*x^116 + y^4*x^135 + y^9*x^129 + y^3*x^136 + y^18*x^118 + y^2*x^137 + y^7*x^131 + y^6*x^132 + y^16*x^120 + x^139 + y^5*x^133 + y^10*x^127 + y^9*x^128 + y^14*x^122 + y^19*x^116 + y^8*x^129 + y^7*x^130 + y^11*x^125 + y^16*x^119 + x^138 + y^10*x^126 + y^20*x^114 + y^4*x^133 + y^14*x^121 + y^3*x^134 + y^8*x^128 + y^13*x^122 + y^12*x^123 + y^6*x^130 + y^11*x^124 + y^16*x^118 + y^5*x^131 + y^15*x^119 + y^20*x^113 + y^9*x^126 + y^3*x^133 + y^18*x^115 + y^2*x^134 + y^12*x^122 + y^17*x^116 + y*x^135 + y^11*x^123 + y^16*x^117 + x^136 + y^10*x^124 + y^15*x^118 + y^20*x^112 + y^4*x^131 + y^19*x^113 + y^3*x^132 + y^13*x^120 + y^18*x^114 + y^2*x^133 + y^7*x^127 + y^12*x^121 + y^17*x^115 + y^11*x^122 + y^5*x^129 + y^10*x^123 + y^20*x^111 + y^4*x^130 + y^9*x^124 + y^3*x^131 + y^8*x^125 + y^13*x^119 + y^7*x^126 + y^17*x^114 + y^16*x^115 + y^10*x^122 + y^20*x^110 + y^4*x^129 + y^14*x^117 + y^13*x^118 + y^18*x^112 + y^2*x^131 + y*x^132 + y^6*x^126 + y^11*x^120 + y^16*x^114 + x^133 + y^5*x^127 + y^10*x^121 + y^9*x^122 + y^8*x^123 + y^2*x^130 + y^7*x^124 + y^17*x^112 + y^11*x^119 + y^5*x^126 + y^15*x^114 + y^9*x^121 + y^14*x^115 + y^3*x^128 + y^8*x^122 + y^13*x^116 + y^2*x^129 + y^7*x^123 + y^12*x^117 + y^11*x^118 + x^131 + y^15*x^113 + y^20*x^107 + y^14*x^114 + y^19*x^108 + y^3*x^127 + y^8*x^121 + y^2*x^128 + y^12*x^116 + y^6*x^123 + y^11*x^117 + y^20*x^106 + y^14*x^113 + y^19*x^107 + y^3*x^126 + y^8*x^120 + y^13*x^114 + y^18*x^108 + y^2*x^127 + y^7*x^121 + y*x^128 + y^6*x^122 + y^5*x^123 + y^15*x^111 + y^4*x^124 + y^19*x^106 + y^18*x^107 + y^2*x^126 + y^7*x^120 + y^12*x^114 + y*x^127 + y^16*x^109 + x^128 + y^5*x^122 + y^15*x^110 + y^4*x^123 + y^9*x^117 + y^14*x^111 + y^19*x^105 + y^8*x^118 + y^18*x^106 + y^12*x^113 + y^6*x^120 + y^16*x^108 + x^127 + y^5*x^121 + y^10*x^115 + y^3*x^123 + y^18*x^105 + y^2*x^124 + y^7*x^118 + y*x^125 + y^16*x^107 + x^126 + y^15*x^108 + y^9*x^115 + y^19*x^103 + y^3*x^122 + y^13*x^110 + y^2*x^123 + y^7*x^117 + y*x^124 + y^11*x^112 + x^125 + y^9*x^114 + y^14*x^108 + y^19*x^102 + y^8*x^115 + y^2*x^122 + y^7*x^116 + y^17*x^104 + y^6*x^117 + y^11*x^111 + x^124 + 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y^9*x^20 + y^14*x^14 + y^3*x^27 + y^13*x^15 + y^2*x^28 + y^7*x^22 + y^6*x^23 + y^11*x^17 + y^16*x^11 + y^10*x^18 + y^19*x^7 + y^8*x^20 + y^12*x^15 + y^6*x^22 + x^29 + y^15*x^11 + y^4*x^24 + y^9*x^18 + y^14*x^12 + y^3*x^25 + y^8*x^19 + y^13*x^13 + y^18*x^7 + y^17*x^8 + y^11*x^15 + y^16*x^9 + x^28 + y^20*x^4 + y^4*x^23 + y^9*x^17 + y^19*x^5 + y^3*x^24 + y^13*x^12 + y^2*x^25 + y*x^26 + x^27 + y^15*x^9 + y^14*x^10 + y^19*x^4 + y^3*x^23 + y^8*x^17 + y^12*x^12 + y*x^25 + y^6*x^19 + y^5*x^20 + y^4*x^21 + y^3*x^22 + y^8*x^16 + y^2*x^23 + y^12*x^11 + y*x^24 + y^6*x^18 + y^11*x^12 + x^25 + y^15*x^7 + y^9*x^14 + y^14*x^8 + y^3*x^21 + y^8*x^15 + y^18*x^3 + y^7*x^16 + y^12*x^10 + y^17*x^4 + y^11*x^11 + y^16*x^5 + x^24 + y^5*x^18 + y^10*x^12 + y^19*x + y^8*x^14 + y^2*x^21 + y^7*x^15 + y^12*x^9 + y^17*x^3 + y*x^22 + y^6*x^16 + x^23 + y^5*x^17 + y^10*x^11 + y^15*x^5 + y^4*x^18 + y^9*x^12 + y^3*x^19 + y^13*x^7 + y^2*x^20 + y^12*x^8 + y^6*x^15 + y^11*x^9 + y^16*x^3 + x^22 + y^5*x^16 + y^4*x^17 + y^3*x^18 + y^8*x^12 + y^12*x^7 + y*x^20 + y^6*x^14 + y^11*x^8 + y^16*x^2 + x^21 + y^15*x^3 + y^3*x^17 + y^13*x^5 + y^2*x^18 + y*x^19 + y^16*x + x^20 + y^10*x^8 + y^15*x^2 + y^4*x^15 + y^9*x^9 + y^13*x^4 + y^2*x^17 + y*x^18 + y^11*x^6 + y^5*x^13 + y^15*x + y^4*x^14 + y^9*x^8 + y^8*x^9 + y^2*x^16 + y^7*x^10 + y^12*x^4 + y^11*x^5 + y^5*x^12 + y^10*x^6 + y^4*x^13 + y^3*x^14 + y^13*x^2 + y^7*x^9 + y*x^16 + y^6*x^10 + y^10*x^5 + y^9*x^6 + y^3*x^13 + y^8*x^7 + y^13*x + y^7*x^8 + y^12*x^2 + y*x^15 + x^16 + y^10*x^4 + y^9*x^5 + y^4*x^10 + y^8*x^5 + y^2*x^12 + y^7*x^6 + y^6*x^7 + y^11*x + y^5*x^8 + y^10*x^2 + y^8*x^4 + y^7*x^5 + y*x^12 + y^6*x^6 + y^5*x^7 + y^10*x + y^4*x^8 + y^9*x^2 + y^8*x^3 + y^7*x^4 + y^5*x^6 + y^4*x^7 + y^8*x^2 + y^2*x^9 + y*x^10 + y^6*x^4 + x^11 + y^5*x^5 + y^8*x + y^7*x^2 + y*x^9 + y^6*x^3 + y^4*x^5 + y^7*x + x^9 + y^5*x^3 + y^4*x^4 + y^3*x^5 + y^2*x^6 + y*x^7 + x^8 + y^5*x^2 + y^4*x^2 + y^3*x^3 + y*x^5 + y^3*x^2 + y^3*x + y^2*x^2 + y*x^3 + y^2*x 9 y^4*x^205 + y^8*x^200 + y^18*x^188 + y^12*x^195 + y^17*x^189 + y*x^208 + y^5*x^203 + y^15*x^191 + y^20*x^185 + y^4*x^204 + y^14*x^192 + y^19*x^186 + y^3*x^205 + y^12*x^194 + y*x^207 + y^6*x^201 + y^11*x^195 + x^208 + y^9*x^197 + y^14*x^191 + y^19*x^185 + y^18*x^186 + y^2*x^205 + y^12*x^193 + y^17*x^187 + y*x^206 + y^11*x^194 + x^207 + y^15*x^189 + y^4*x^202 + y^9*x^196 + y^3*x^203 + y^13*x^191 + y^18*x^185 + y^2*x^204 + y^11*x^193 + y^4*x^201 + y^3*x^202 + y^13*x^190 + y^2*x^203 + y^7*x^197 + y^12*x^191 + y^17*x^185 + x^205 + y^5*x^199 + y^10*x^193 + y^9*x^194 + y^14*x^188 + y^3*x^201 + y^8*x^195 + y^13*x^189 + y^2*x^202 + y^7*x^196 + y^12*x^190 + y^17*x^184 + y^6*x^197 + y^11*x^191 + y^16*x^185 + x^204 + y^10*x^192 + y^15*x^186 + y^20*x^180 + y^3*x^200 + y^8*x^194 + y^7*x^195 + y^12*x^189 + y^17*x^183 + y^11*x^190 + y^16*x^184 + y^5*x^197 + y^10*x^191 + y^15*x^185 + y^20*x^179 + y^9*x^192 + y^14*x^186 + y^8*x^193 + y^13*x^187 + y^18*x^181 + y^6*x^195 + y^16*x^183 + y^10*x^190 + y^20*x^178 + y^4*x^197 + y^19*x^179 + y^8*x^192 + y^13*x^186 + y^12*x^187 + y^17*x^181 + y*x^200 + y^6*x^194 + y^11*x^188 + x^201 + y^15*x^183 + y^20*x^177 + y^3*x^197 + y^8*x^191 + y^18*x^179 + y^2*x^198 + y^7*x^192 + y^6*x^193 + y^11*x^187 + y^5*x^194 + y^4*x^195 + y^9*x^189 + y^3*x^196 + y^8*x^190 + y^2*x^197 + y^7*x^191 + y^6*x^192 + y^16*x^180 + x^199 + y^10*x^187 + y^15*x^181 + y^9*x^188 + y^14*x^182 + y^19*x^176 + y^8*x^189 + y^6*x^191 + x^198 + y^10*x^186 + y^4*x^193 + y^9*x^187 + y^19*x^175 + y^13*x^182 + y^18*x^176 + y^2*x^195 + y^7*x^189 + y^6*x^190 + x^197 + y^5*x^191 + y^10*x^185 + y^4*x^192 + y^9*x^186 + y^14*x^180 + y^19*x^174 + y^8*x^187 + y^13*x^181 + y^7*x^188 + y^12*x^182 + y^17*x^176 + y^11*x^183 + x^196 + y^15*x^178 + y^19*x^173 + y^3*x^192 + y^8*x^186 + y^13*x^180 + y^18*x^174 + y^17*x^175 + y*x^194 + y^15*x^177 + y^14*x^178 + y^19*x^172 + y^3*x^191 + y^13*x^179 + y^18*x^173 + y^7*x^186 + y^6*x^187 + y^11*x^181 + y^16*x^175 + y^5*x^188 + y^10*x^182 + y^15*x^176 + y^20*x^170 + y^4*x^189 + y^19*x^171 + y^3*x^190 + y^8*x^184 + y^18*x^172 + y^2*x^191 + y^12*x^179 + y*x^192 + y^11*x^180 + y^16*x^174 + x^193 + y^5*x^187 + y^10*x^181 + y^8*x^183 + y^2*x^190 + y^12*x^178 + y^11*x^179 + x^192 + y^10*x^180 + y^15*x^174 + y^20*x^168 + y^9*x^181 + y^14*x^175 + y^3*x^188 + y^8*x^182 + y^13*x^176 + y^12*x^177 + y^11*x^178 + y^16*x^172 + y^15*x^173 + y^20*x^167 + y^4*x^186 + y^19*x^168 + y^3*x^187 + y^8*x^181 + y^2*x^188 + y^12*x^176 + y^6*x^183 + y^11*x^177 + y^16*x^171 + x^190 + y^5*x^184 + y^10*x^178 + y^15*x^172 + y^4*x^185 + y^19*x^167 + y^3*x^186 + y^13*x^174 + y^2*x^187 + y^7*x^181 + y^17*x^169 + y*x^188 + y^6*x^182 + y^16*x^170 + x^189 + y^5*x^183 + y^20*x^165 + y^9*x^178 + y^14*x^172 + y^19*x^166 + y^3*x^185 + y^13*x^173 + y^18*x^167 + y^7*x^180 + y^11*x^175 + x^188 + y^10*x^176 + y^15*x^170 + y^20*x^164 + y^3*x^184 + y^8*x^178 + y^13*x^172 + y^18*x^166 + y^2*x^185 + y^12*x^173 + y*x^186 + y^11*x^174 + x^187 + y^5*x^181 + y^15*x^169 + y^20*x^163 + y^9*x^176 + y^14*x^170 + y^19*x^164 + y^3*x^183 + y^8*x^177 + y^13*x^171 + y^2*x^184 + y^12*x^172 + y*x^185 + y^11*x^173 + y^15*x^168 + y^20*x^162 + y^9*x^175 + y^14*x^169 + y^19*x^163 + y^3*x^182 + y^18*x^164 + y^7*x^177 + y*x^184 + y^11*x^172 + y^10*x^173 + y^20*x^161 + y^19*x^162 + y^8*x^175 + y^13*x^169 + y^18*x^163 + y^2*x^182 + y^7*x^176 + y^12*x^170 + y^17*x^164 + y*x^183 + y^11*x^171 + x^184 + y^10*x^172 + y^15*x^166 + y^4*x^179 + y^9*x^173 + y^8*x^174 + y^13*x^168 + y^18*x^162 + y^7*x^175 + y^12*x^169 + y*x^182 + y^11*x^170 + x^183 + y^5*x^177 + y^10*x^171 + y^9*x^172 + y^8*x^173 + y^18*x^161 + y^12*x^168 + y*x^181 + y^6*x^175 + y^16*x^163 + y^5*x^176 + y^20*x^158 + y^4*x^177 + y^3*x^178 + y^8*x^172 + y^18*x^160 + y^2*x^179 + y^12*x^167 + y^6*x^174 + y^16*x^162 + y^5*x^175 + y^10*x^169 + y^20*x^157 + y^19*x^158 + y^3*x^177 + y^13*x^165 + y^18*x^159 + y^7*x^172 + y^12*x^166 + y^17*x^160 + y*x^179 + y^6*x^173 + x^180 + y^20*x^156 + y^4*x^175 + y^9*x^169 + y^14*x^163 + y^19*x^157 + y^18*x^158 + y^2*x^177 + y^6*x^172 + y^20*x^155 + y^4*x^174 + y^9*x^168 + y^19*x^156 + y^3*x^175 + y^2*x^176 + y*x^177 + y^5*x^172 + y^15*x^160 + y^20*x^154 + y^4*x^173 + y^9*x^167 + y^19*x^155 + y^8*x^168 + y^18*x^156 + y^17*x^157 + y^9*x^166 + y^14*x^160 + y^19*x^154 + y^18*x^155 + y^7*x^168 + y*x^175 + y^6*x^169 + y^11*x^163 + y^4*x^171 + y^8*x^166 + y^7*x^167 + y^12*x^161 + y*x^174 + y^6*x^168 + x^175 + y^5*x^169 + y^14*x^158 + y^3*x^171 + y^2*x^172 + y^7*x^166 + y^17*x^154 + y*x^173 + y^16*x^155 + x^174 + y^5*x^168 + y^10*x^162 + y^15*x^156 + y^20*x^150 + y^4*x^169 + y^14*x^157 + y^19*x^151 + y^3*x^170 + y^8*x^164 + y^7*x^165 + y^17*x^153 + y^11*x^160 + y^15*x^155 + y^4*x^168 + y^9*x^162 + y^14*x^156 + y^3*x^169 + y^13*x^157 + y^2*x^170 + y^7*x^164 + y^12*x^158 + y*x^171 + y^6*x^165 + y^11*x^159 + x^172 + y^5*x^166 + y^20*x^148 + y^4*x^167 + y^9*x^161 + y^19*x^149 + y^3*x^168 + y^13*x^156 + y^18*x^150 + y^7*x^163 + y^12*x^157 + y^17*x^151 + y^16*x^152 + x^171 + y^5*x^165 + y^10*x^159 + y^20*x^147 + y^4*x^166 + y^9*x^160 + y^14*x^154 + y^8*x^161 + y^18*x^149 + y^7*x^162 + y^12*x^156 + y^17*x^150 + y*x^169 + y^6*x^163 + y^16*x^151 + y^20*x^146 + y^9*x^159 + y^19*x^147 + y^8*x^160 + y^13*x^154 + y^18*x^148 + y^12*x^155 + y*x^168 + y^6*x^162 + y^16*x^150 + y^15*x^151 + y^20*x^145 + y^4*x^164 + y^9*x^158 + y^3*x^165 + y^8*x^159 + y^18*x^147 + y^7*x^160 + y^17*x^148 + y^6*x^161 + y^11*x^155 + y^10*x^156 + y^9*x^157 + y^3*x^164 + y^8*x^158 + y^2*x^165 + y^7*x^159 + y^12*x^153 + y^6*x^160 + y^11*x^154 + y^16*x^148 + x^167 + y^9*x^156 + y^8*x^157 + y^13*x^151 + y^2*x^164 + y^7*x^158 + y^17*x^146 + x^166 + y^5*x^160 + y^10*x^154 + y^15*x^148 + y^20*x^142 + y^14*x^149 + y^8*x^156 + y^13*x^150 + y^7*x^157 + y^12*x^151 + y*x^164 + y^6*x^158 + y^11*x^152 + x^165 + y^20*x^141 + y^19*x^142 + y^3*x^161 + y^8*x^155 + y^18*x^143 + y^7*x^156 + y^17*x^144 + y^6*x^157 + y^15*x^146 + y^4*x^159 + y^9*x^153 + y^14*x^147 + y^18*x^142 + y^7*x^155 + y^12*x^149 + y^17*x^143 + y*x^162 + y^16*x^144 + x^163 + y^5*x^157 + y^15*x^145 + y^20*x^139 + y^4*x^158 + y^14*x^146 + y^8*x^153 + y^13*x^147 + y^18*x^141 + y^2*x^160 + y^7*x^154 + y*x^161 + y^16*x^143 + y^4*x^157 + y^9*x^151 + y^19*x^139 + y^3*x^158 + y^18*x^140 + y^2*x^159 + y^7*x^153 + y^17*x^141 + y*x^160 + y^19*x^138 + y^13*x^145 + y^2*x^158 + y^7*x^152 + y^17*x^140 + y*x^159 + y^6*x^153 + y^11*x^147 + y^16*x^141 + y^10*x^148 + y^15*x^142 + y^9*x^149 + y^14*x^143 + y^19*x^137 + y^3*x^156 + y^13*x^144 + y^2*x^157 + y^6*x^152 + y^11*x^146 + x^159 + y^10*x^147 + y^15*x^141 + y^20*x^135 + y^4*x^154 + y^9*x^148 + y^14*x^142 + y^19*x^136 + y^13*x^143 + y^18*x^137 + y^12*x^144 + y^11*x^145 + y^16*x^139 + y^5*x^152 + y^20*x^134 + y^9*x^147 + y^14*x^141 + y^8*x^148 + y^2*x^155 + y^12*x^143 + y^6*x^150 + y^5*x^151 + y^15*x^139 + y^9*x^146 + y^14*x^140 + y^19*x^134 + y^8*x^147 + y^13*x^141 + y^18*x^135 + y^12*x^142 + y^17*x^136 + y*x^155 + y^6*x^149 + y^16*x^137 + x^156 + y^10*x^144 + y^20*x^132 + y^14*x^139 + y^19*x^133 + y^3*x^152 + y^13*x^140 + y^18*x^134 + y^7*x^147 + y^17*x^135 + y^6*x^148 + y^11*x^142 + y^16*x^136 + y^10*x^143 + y^15*x^137 + y^9*x^144 + y^19*x^132 + y^8*x^145 + y^13*x^139 + y^2*x^152 + y^7*x^146 + y^17*x^134 + y^6*x^147 + y^10*x^142 + y^14*x^137 + y^19*x^131 + y^3*x^150 + y^8*x^144 + y^13*x^138 + y^18*x^132 + y^2*x^151 + y^12*x^139 + y^17*x^133 + y^6*x^146 + y^16*x^134 + x^153 + y^10*x^141 + y^20*x^129 + y^14*x^136 + y^19*x^130 + y^18*x^131 + y^7*x^144 + y^6*x^145 + y^11*x^139 + y^5*x^146 + y^20*x^128 + y^3*x^148 + y^2*x^149 + y^7*x^143 + y^17*x^131 + y*x^150 + y^6*x^144 + x^151 + y^5*x^145 + y^15*x^133 + y^19*x^128 + y^8*x^141 + y^13*x^135 + y^7*x^142 + y^17*x^130 + y^16*x^131 + y^5*x^144 + y^10*x^138 + y^19*x^127 + y^3*x^146 + y^8*x^140 + y^2*x^147 + y^17*x^129 + y*x^148 + y^6*x^142 + y^11*x^136 + y^16*x^130 + y^10*x^137 + y^20*x^125 + y^3*x^145 + y^2*x^146 + y^7*x^140 + y^12*x^134 + y^6*x^141 + y^11*x^135 + y^20*x^124 + y^4*x^143 + y^9*x^137 + y^14*x^131 + y^19*x^125 + y^3*x^144 + y^8*x^138 + y^18*x^126 + y^2*x^145 + y^12*x^133 + y^17*x^127 + y^6*x^140 + y^11*x^134 + y^10*x^135 + y^15*x^129 + y^4*x^142 + y^9*x^136 + y^14*x^130 + y^19*x^124 + y^13*x^131 + y^18*x^125 + y^17*x^126 + x^146 + y^5*x^140 + y^10*x^134 + y^20*x^122 + y^14*x^129 + y^19*x^123 + y^3*x^142 + y^8*x^136 + y^7*x^137 + y^12*x^131 + y^17*x^125 + y^6*x^138 + y^16*x^126 + y^5*x^139 + y^10*x^133 + y^20*x^121 + y^4*x^140 + y^19*x^122 + y^3*x^141 + y^8*x^135 + y^18*x^123 + y^2*x^142 + y^12*x^130 + y^17*x^124 + y^5*x^138 + y^20*x^120 + y^4*x^139 + y^9*x^133 + y^14*x^127 + y^19*x^121 + y^8*x^134 + y^18*x^122 + y^2*x^141 + y^7*x^135 + y^11*x^130 + x^143 + y^10*x^131 + y^20*x^119 + y^14*x^126 + y^19*x^120 + y^3*x^139 + y^8*x^133 + y^13*x^127 + y^18*x^121 + y^2*x^140 + y^17*x^122 + y^6*x^135 + y^11*x^129 + y^16*x^123 + x^142 + y^5*x^136 + y^10*x^130 + y^15*x^124 + y^4*x^137 + y^9*x^131 + y^14*x^125 + y^19*x^119 + y^3*x^138 + y^7*x^133 + y^11*x^128 + y^16*x^122 + x^141 + y^15*x^123 + y^9*x^130 + y^19*x^118 + y^3*x^137 + y^8*x^131 + y^13*x^125 + y^18*x^119 + y^2*x^138 + y^7*x^132 + y^11*x^127 + y^16*x^121 + x^140 + y^5*x^134 + y^10*x^128 + y^15*x^122 + y^4*x^135 + y^9*x^129 + y^19*x^117 + y^18*x^118 + y^6*x^132 + y^16*x^120 + x^139 + y^5*x^133 + y^15*x^121 + y^9*x^128 + y^19*x^116 + y^3*x^135 + y^13*x^123 + y^12*x^124 + y^11*x^125 + y^16*x^119 + x^138 + y^5*x^132 + y^15*x^120 + y^9*x^127 + y^19*x^115 + y^3*x^134 + y^13*x^122 + y^2*x^135 + y^12*x^123 + y*x^136 + y^6*x^130 + y^5*x^131 + y^10*x^125 + y^15*x^119 + y^20*x^113 + y^4*x^132 + y^9*x^126 + y^8*x^127 + y^13*x^121 + y^12*x^122 + y*x^135 + y^11*x^123 + x^136 + y^5*x^130 + y^10*x^124 + y^20*x^112 + y^8*x^126 + y^13*x^120 + y^18*x^114 + y^7*x^127 + y^12*x^121 + y*x^134 + y^11*x^122 + x^135 + y^15*x^117 + y^4*x^130 + y^14*x^118 + y^3*x^131 + y^8*x^125 + y^13*x^119 + y^18*x^113 + y^2*x^132 + y^7*x^126 + y^12*x^120 + y^17*x^114 + y*x^133 + y^11*x^121 + x^134 + y^4*x^129 + y^9*x^123 + y^19*x^111 + y^13*x^118 + y^7*x^125 + y^12*x^119 + y*x^132 + y^11*x^120 + y^16*x^114 + x^133 + y^10*x^121 + y^20*x^109 + y^4*x^128 + y^13*x^117 + y^18*x^111 + y^2*x^130 + y^7*x^124 + y^12*x^118 + y^17*x^112 + x^132 + y^5*x^126 + y^20*x^108 + y^4*x^127 + y^14*x^115 + y^3*x^128 + y^8*x^122 + y^18*x^110 + y^2*x^129 + y^12*x^117 + y^17*x^111 + y*x^130 + y^6*x^124 + y^5*x^125 + y^10*x^119 + y^20*x^107 + y^3*x^127 + y^8*x^121 + y^13*x^115 + y^7*x^122 + y^12*x^116 + y^6*x^123 + y^11*x^117 + y^5*x^124 + y^15*x^112 + y^4*x^125 + y^9*x^119 + y^14*x^113 + y^19*x^107 + y^8*x^120 + y^13*x^114 + y^18*x^108 + y^7*x^121 + y^12*x^115 + y^17*x^109 + y*x^128 + y^6*x^122 + y^11*x^116 + y^16*x^110 + x^129 + y^5*x^123 + y^10*x^117 + y^9*x^118 + y^19*x^106 + y^3*x^125 + y^8*x^119 + y^13*x^113 + y^2*x^126 + y^7*x^120 + y^17*x^108 + y*x^127 + y^6*x^121 + y^11*x^115 + y^16*x^109 + y^5*x^122 + y^15*x^110 + y^14*x^111 + y^19*x^105 + y^3*x^124 + y^8*x^118 + y^18*x^106 + y^12*x^113 + y^17*x^107 + y*x^126 + y^6*x^120 + x^127 + y^10*x^115 + y^15*x^109 + y^20*x^103 + y^14*x^110 + y^3*x^123 + y^13*x^111 + y*x^125 + y^6*x^119 + y^11*x^113 + y^5*x^120 + y^10*x^114 + y^19*x^103 + y^13*x^110 + y^18*x^104 + y^7*x^117 + y*x^124 + y^11*x^112 + y^16*x^106 + y^20*x^101 + y^9*x^114 + y^18*x^103 + y^2*x^122 + y^7*x^116 + y^12*x^110 + y^17*x^104 + y^6*x^117 + y^10*x^112 + y^19*x^101 + y^3*x^120 + y^8*x^114 + y^18*x^102 + y^7*x^115 + y^17*x^103 + y*x^122 + y^6*x^116 + x^123 + y^5*x^117 + y^10*x^111 + y^15*x^105 + y^20*x^99 + y^14*x^106 + y^18*x^101 + y^2*x^120 + y^12*x^108 + y*x^121 + y^6*x^115 + y^11*x^109 + y^5*x^116 + y^10*x^110 + y^20*x^98 + y^4*x^117 + y^19*x^99 + y^8*x^112 + y^13*x^106 + y^18*x^100 + y^12*x^107 + y^6*x^114 + y^16*x^102 + y^10*x^109 + y^20*x^97 + y^4*x^116 + y^2*x^118 + y^7*x^112 + y*x^119 + y^5*x^114 + y^15*x^102 + y^20*x^96 + y^9*x^109 + y^14*x^103 + y^19*x^97 + y^3*x^116 + y^8*x^110 + y^18*x^98 + y^2*x^117 + y^7*x^111 + y^12*x^105 + y^17*x^99 + x^119 + y^10*x^107 + y^15*x^101 + y^20*x^95 + y^4*x^114 + y^14*x^102 + y^8*x^109 + y^18*x^97 + y^2*x^116 + y^12*x^104 + y^16*x^99 + y^5*x^112 + y^10*x^106 + y^4*x^113 + y^19*x^95 + y^18*x^96 + y^12*x^103 + y*x^116 + y^11*x^104 + y^16*x^98 + x^117 + y^5*x^111 + y^15*x^99 + y^4*x^112 + y^9*x^106 + y^14*x^100 + y^3*x^113 + y^8*x^107 + y^2*x^114 + y^7*x^108 + y^12*x^102 + y*x^115 + y^6*x^109 + y^5*x^110 + y^15*x^98 + y^20*x^92 + y^4*x^111 + y^19*x^93 + y^8*x^106 + y^18*x^94 + y^12*x^101 + y*x^114 + y^6*x^108 + y^11*x^102 + y^16*x^96 + x^115 + y^5*x^109 + y^20*x^91 + y^9*x^104 + y^14*x^98 + y^19*x^92 + y^3*x^111 + y^8*x^105 + y^13*x^99 + y^7*x^106 + y^12*x^100 + y^17*x^94 + x^114 + y^5*x^108 + y^20*x^90 + y^4*x^109 + y^19*x^91 + y^3*x^110 + y^8*x^104 + y^2*x^111 + y^7*x^105 + y^17*x^93 + y*x^112 + y^6*x^106 + y^11*x^100 + x^113 + y^5*x^107 + y^15*x^95 + y^19*x^90 + y^13*x^97 + y^2*x^110 + y^17*x^92 + x^112 + y^5*x^106 + y^15*x^94 + y^20*x^88 + y^9*x^101 + y^14*x^95 + y^19*x^89 + y^13*x^96 + y^2*x^109 + y^7*x^103 + y*x^110 + y^11*x^98 + y^16*x^92 + x^111 + y^10*x^99 + y^15*x^93 + y^20*x^87 + y^4*x^106 + y^9*x^100 + y^3*x^107 + y^8*x^101 + y^2*x^108 + y^7*x^102 + y^6*x^103 + y^16*x^91 + x^110 + y^5*x^104 + y^15*x^92 + y^14*x^93 + y^19*x^87 + y^3*x^106 + y^8*x^100 + y^13*x^94 + y^2*x^107 + y^7*x^101 + y*x^108 + y^6*x^102 + y^16*x^90 + x^109 + y^10*x^97 + y^4*x^104 + y^9*x^98 + y^13*x^93 + y*x^107 + y^6*x^101 + y^5*x^102 + y^20*x^84 + y^4*x^103 + y^14*x^91 + y^18*x^86 + y^12*x^93 + y^17*x^87 + y^11*x^94 + y^16*x^88 + x^107 + y^5*x^101 + y^10*x^95 + y^20*x^83 + y^4*x^102 + y^9*x^96 + y^14*x^90 + y^3*x^103 + y^13*x^91 + y^6*x^99 + y^11*x^93 + x^106 + y^5*x^100 + y^15*x^88 + y^9*x^95 + y^14*x^89 + y^3*x^102 + y^8*x^96 + y^2*x^103 + y^12*x^91 + y*x^104 + y^6*x^98 + y^5*x^99 + y^10*x^93 + y^4*x^100 + y^18*x^83 + y^2*x^102 + y^7*x^96 + y^17*x^84 + y^6*x^97 + y^11*x^91 + y^16*x^85 + x^104 + y^15*x^86 + y^4*x^99 + y^14*x^87 + y^19*x^81 + y^3*x^100 + y^13*x^88 + y^18*x^82 + y^17*x^83 + y*x^102 + y^6*x^96 + y^11*x^90 + y^16*x^84 + y^10*x^91 + y^20*x^79 + y^4*x^98 + y^19*x^80 + y^13*x^87 + y^18*x^81 + y^2*x^100 + y^7*x^94 + y^12*x^88 + y^17*x^82 + y^6*x^95 + y^16*x^83 + y^4*x^97 + y^12*x^87 + y*x^100 + y^16*x^82 + y^10*x^89 + y^14*x^84 + y^3*x^97 + y^18*x^79 + y^2*x^98 + y^7*x^92 + y^12*x^86 + y^16*x^81 + y^10*x^88 + y^20*x^76 + y^9*x^89 + y^3*x^96 + y^8*x^90 + y^18*x^78 + y^7*x^91 + y^12*x^85 + y^17*x^79 + y*x^98 + y^6*x^92 + y^10*x^87 + y^20*x^75 + y^4*x^94 + y^7*x^90 + y^16*x^79 + x^98 + y^15*x^80 + y^9*x^87 + y^14*x^81 + y^3*x^94 + y^13*x^82 + y^2*x^95 + y^7*x^89 + y*x^96 + y^6*x^90 + y^16*x^78 + x^97 + y^5*x^91 + y^10*x^85 + y^15*x^79 + y^4*x^92 + y^14*x^80 + y^19*x^74 + y^3*x^93 + y^18*x^75 + y^6*x^89 + y^11*x^83 + y^5*x^90 + y^4*x^91 + y^14*x^79 + y^19*x^73 + y^3*x^92 + y^8*x^86 + y^13*x^80 + y^18*x^74 + y^12*x^81 + y^16*x^76 + x^95 + y^5*x^89 + y^9*x^84 + y^3*x^91 + y^8*x^85 + y^12*x^80 + y^17*x^74 + y*x^93 + y^6*x^87 + y^11*x^81 + y^16*x^75 + x^94 + y^5*x^88 + y^15*x^76 + y^20*x^70 + y^4*x^89 + y^14*x^77 + y^19*x^71 + y^8*x^84 + y^2*x^91 + y^12*x^79 + y^5*x^87 + y^20*x^69 + y^4*x^88 + y^18*x^71 + y^2*x^90 + y^7*x^84 + y^11*x^79 + x^92 + y^10*x^80 + y^15*x^74 + y^4*x^87 + y^9*x^81 + y^14*x^75 + y^8*x^82 + y^18*x^70 + y^2*x^89 + y^7*x^83 + y^6*x^84 + y^11*x^78 + x^91 + y^10*x^79 + y^20*x^67 + y^4*x^86 + y^3*x^87 + y^18*x^69 + y^2*x^88 + y^6*x^83 + y^16*x^71 + y^10*x^78 + y^9*x^79 + y^3*x^86 + y^8*x^80 + y^13*x^74 + y^12*x^75 + y^11*x^76 + x^89 + y^5*x^83 + y^15*x^71 + y^20*x^65 + y^4*x^84 + y^9*x^78 + y^19*x^66 + y^3*x^85 + y^8*x^79 + y^2*x^86 + y^12*x^74 + y^6*x^81 + y^10*x^76 + y^4*x^83 + y^19*x^65 + y^3*x^84 + y^8*x^78 + y^13*x^72 + y^2*x^85 + y^12*x^73 + y^17*x^67 + y*x^86 + y^6*x^80 + y^11*x^74 + y^16*x^68 + y^5*x^81 + y^10*x^75 + y^20*x^63 + y^9*x^76 + y^19*x^64 + y^3*x^83 + y^13*x^71 + y^18*x^65 + y^2*x^84 + y^11*x^73 + y^16*x^67 + x^86 + y^15*x^68 + y^20*x^62 + y^9*x^75 + y^3*x^82 + y^17*x^65 + y*x^84 + y^6*x^78 + y^11*x^72 + y^16*x^66 + y^10*x^73 + y^20*x^61 + y^4*x^80 + y^14*x^68 + y^19*x^62 + y^8*x^75 + y^18*x^63 + y^12*x^70 + y^16*x^65 + x^84 + y^10*x^72 + y^14*x^67 + y^19*x^61 + y^3*x^80 + y^8*x^74 + y^13*x^68 + y^18*x^62 + y^12*x^69 + y^17*x^63 + y*x^82 + y^6*x^76 + y^11*x^70 + y^16*x^64 + y^5*x^77 + y^15*x^65 + y^20*x^59 + y^14*x^66 + y^3*x^79 + y^8*x^73 + y^13*x^67 + y^18*x^61 + y^12*x^68 + y^17*x^62 + x^82 + y^15*x^64 + y^20*x^58 + y^4*x^77 + y^3*x^78 + y^8*x^72 + y^13*x^66 + y^2*x^79 + y^7*x^73 + y^12*x^67 + y^6*x^74 + y^11*x^68 + y^16*x^62 + x^81 + y^10*x^69 + y^4*x^76 + y^3*x^77 + y^8*x^71 + y^7*x^72 + y*x^79 + y^11*x^67 + y^16*x^61 + x^80 + y^10*x^68 + y^20*x^56 + y^14*x^63 + y^3*x^76 + y^2*x^77 + y^7*x^71 + y^17*x^59 + y*x^78 + y^6*x^72 + y^16*x^60 + x^79 + y^5*x^73 + y^15*x^61 + y^4*x^74 + y^9*x^68 + y^19*x^56 + y^13*x^63 + y^7*x^70 + y^12*x^64 + y^17*x^58 + y*x^77 + y^6*x^71 + y^16*x^59 + x^78 + y^4*x^73 + y^14*x^61 + y^8*x^68 + y^13*x^62 + y^7*x^69 + y^17*x^57 + y*x^76 + y^11*x^64 + y^16*x^58 + y^5*x^71 + y^20*x^53 + y^9*x^66 + y^19*x^54 + y^3*x^73 + y^8*x^67 + y^18*x^55 + y^12*x^62 + y^17*x^56 + y^11*x^63 + x^76 + y^5*x^70 + y^10*x^64 + y^20*x^52 + y^4*x^71 + y^9*x^65 + y^19*x^53 + y^8*x^66 + y^13*x^60 + y^7*x^67 + y^12*x^61 + y^17*x^55 + y^16*x^56 + y^5*x^69 + y^10*x^63 + y^4*x^70 + y^14*x^58 + y^19*x^52 + y^18*x^53 + y^2*x^72 + y^17*x^54 + y^6*x^67 + y^11*x^61 + y^16*x^55 + x^74 + y^5*x^68 + y^15*x^56 + y^4*x^69 + y^9*x^63 + y^14*x^57 + y^19*x^51 + y^18*x^52 + y^2*x^71 + y^17*x^53 + y^11*x^60 + x^73 + y^10*x^61 + y^20*x^49 + y^4*x^68 + y^19*x^50 + y^18*x^51 + y^7*x^64 + y^17*x^52 + y^11*x^59 + y^20*x^48 + y^4*x^67 + y^9*x^61 + y^18*x^50 + y^2*x^69 + y^6*x^64 + y^16*x^52 + x^71 + y^5*x^65 + y^15*x^53 + y^20*x^47 + y^3*x^67 + y^8*x^61 + y^13*x^55 + y^18*x^49 + y^2*x^68 + y^17*x^50 + y*x^69 + y^11*x^57 + y^5*x^64 + y^9*x^59 + y^14*x^53 + y^8*x^60 + y^2*x^67 + y^17*x^49 + y^6*x^62 + y^11*x^56 + y^16*x^50 + y^5*x^63 + y^10*x^57 + y^15*x^51 + y^20*x^45 + y^19*x^46 + y^13*x^53 + y^18*x^47 + y^7*x^60 + y*x^67 + y^6*x^61 + y^11*x^55 + y^15*x^50 + y^20*x^44 + y^19*x^45 + y^3*x^64 + y^2*x^65 + y^7*x^59 + y^17*x^47 + y*x^66 + y^6*x^60 + y^11*x^54 + y^5*x^61 + y^15*x^49 + y^4*x^62 + y^14*x^50 + y^13*x^51 + y^18*x^45 + y*x^65 + y^6*x^59 + y^11*x^53 + x^66 + y^4*x^61 + y^9*x^55 + y^14*x^49 + y^3*x^62 + y^13*x^50 + y^12*x^51 + y^11*x^52 + x^65 + y^20*x^41 + y^4*x^60 + y^19*x^42 + y^13*x^49 + y^18*x^43 + y^2*x^62 + y^12*x^50 + y^17*x^44 + y*x^63 + y^11*x^51 + x^64 + y^5*x^58 + y^20*x^40 + y^14*x^47 + y^19*x^41 + y^8*x^54 + y^13*x^48 + y^18*x^42 + y^7*x^55 + y^12*x^49 + y*x^62 + y^6*x^56 + y^11*x^50 + y^16*x^44 + x^63 + y^5*x^57 + y^10*x^51 + y^20*x^39 + y^9*x^52 + y^19*x^40 + y^3*x^59 + y^13*x^47 + y^18*x^41 + y^2*x^60 + y^17*x^42 + y^11*x^49 + x^62 + y^5*x^56 + y^10*x^50 + y^15*x^44 + y^14*x^45 + y^8*x^52 + y^13*x^46 + y^18*x^40 + y^2*x^59 + y^7*x^53 + y^12*x^47 + y^17*x^41 + y*x^60 + y^6*x^54 + y^11*x^48 + y^16*x^42 + y^15*x^43 + y^9*x^50 + y^14*x^44 + y^8*x^51 + y^18*x^39 + y^2*x^58 + y^7*x^52 + y^12*x^46 + y^17*x^40 + y*x^59 + y^11*x^47 + x^60 + y^5*x^54 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y^14*x^26 + y^13*x^27 + y^18*x^21 + y^2*x^40 + y^12*x^28 + y^17*x^22 + y*x^41 + y^6*x^35 + y^11*x^29 + y^16*x^23 + x^42 + y^5*x^36 + y^20*x^18 + y^4*x^37 + y^19*x^19 + y^3*x^38 + y^2*x^39 + y^7*x^33 + y^12*x^27 + y^6*x^34 + y^11*x^28 + y^10*x^29 + y^15*x^23 + y^14*x^24 + y^19*x^18 + y^3*x^37 + y^8*x^31 + y^13*x^25 + y^7*x^32 + y^12*x^26 + y^6*x^33 + x^40 + y^5*x^34 + y^10*x^28 + y^20*x^16 + y^4*x^35 + y^9*x^29 + y^14*x^23 + y^19*x^17 + y^3*x^36 + y^13*x^24 + y^18*x^18 + y^12*x^25 + y^11*x^26 + y^16*x^20 + x^39 + y^10*x^27 + y^15*x^21 + y^20*x^15 + y^14*x^22 + y^3*x^35 + y^8*x^29 + y^18*x^17 + y^2*x^36 + y^12*x^24 + y^17*x^18 + y*x^37 + y^11*x^25 + x^38 + y^5*x^32 + y^20*x^14 + y^19*x^15 + y^3*x^34 + y^8*x^28 + y^18*x^16 + y^7*x^29 + y^12*x^23 + y^17*x^17 + y^16*x^18 + y^4*x^32 + y^14*x^20 + y^19*x^14 + y^3*x^33 + y^8*x^27 + y^13*x^21 + y^18*x^15 + y^2*x^34 + y^7*x^28 + y^12*x^22 + y^17*x^16 + y*x^35 + y^6*x^29 + y^11*x^23 + y^16*x^17 + y^5*x^30 + y^15*x^18 + y^20*x^12 + y^4*x^31 + y^9*x^25 + y^8*x^26 + y^18*x^14 + y^7*x^27 + y^11*x^22 + y^16*x^16 + x^35 + y^10*x^23 + y^20*x^11 + y^9*x^24 + y^3*x^31 + y^8*x^25 + y^18*x^13 + y^2*x^32 + y^6*x^27 + y^11*x^21 + y^16*x^15 + y^5*x^28 + y^10*x^22 + y^9*x^23 + y^14*x^17 + y^3*x^30 + y^8*x^24 + y^13*x^18 + y^7*x^25 + y^12*x^19 + y^17*x^13 + y*x^32 + y^11*x^20 + y^16*x^14 + x^33 + y^5*x^27 + y^10*x^21 + y^15*x^15 + y^20*x^9 + y^4*x^28 + y^9*x^22 + y^3*x^29 + y^8*x^23 + y^18*x^11 + y^2*x^30 + y^17*x^12 + y*x^31 + y^6*x^25 + y^11*x^19 + y^15*x^14 + y^9*x^21 + y^14*x^15 + y^19*x^9 + y^18*x^10 + y^12*x^17 + y*x^30 + y^6*x^24 + y^16*x^12 + y^10*x^19 + y^15*x^13 + y^13*x^15 + y^7*x^22 + y^17*x^10 + y*x^29 + y^6*x^23 + y^16*x^11 + x^30 + y^5*x^24 + y^15*x^12 + y^4*x^25 + y^14*x^13 + y^19*x^7 + y^3*x^26 + y^18*x^8 + y^2*x^27 + y^7*x^21 + y^12*x^15 + y^17*x^9 + y^11*x^16 + x^29 + y^5*x^23 + y^14*x^12 + y^19*x^6 + y^3*x^25 + y^8*x^19 + y^12*x^14 + y^17*x^8 + y*x^27 + y^16*x^9 + x^28 + y^5*x^22 + y^10*x^16 + y^20*x^4 + y^4*x^23 + y^9*x^17 + y^19*x^5 + y^3*x^24 + y^13*x^12 + y^2*x^25 + y^12*x^13 + y*x^26 + y^20*x^3 + y^3*x^23 + y^13*x^11 + y^2*x^24 + y^12*x^12 + y^17*x^6 + y*x^25 + y^6*x^19 + y^10*x^14 + y^9*x^15 + y^14*x^9 + y^13*x^10 + y^18*x^4 + y^7*x^17 + y^17*x^5 + y*x^24 + y^6*x^18 + y^16*x^6 + y^5*x^19 + y^20*x + y^4*x^20 + y^7*x^16 + y^12*x^10 + y*x^23 + y^6*x^17 + y^11*x^11 + y^16*x^5 + y^5*x^18 + y^10*x^12 + y^4*x^19 + y^13*x^8 + y^17*x^3 + y*x^22 + y^6*x^16 + y^16*x^4 + x^23 + y^5*x^17 + y^10*x^11 + y^15*x^5 + y^4*x^18 + y^8*x^13 + y^2*x^20 + y^17*x^2 + y^6*x^15 + y^11*x^9 + y^16*x^3 + x^22 + y^10*x^10 + y^4*x^17 + y^14*x^5 + y^3*x^18 + y^8*x^12 + y^2*x^19 + y^7*x^13 + y^12*x^7 + y^17*x + y*x^20 + y^6*x^14 + y^11*x^8 + y^16*x^2 + x^21 + y^10*x^9 + y^8*x^11 + y^2*x^18 + y^7*x^12 + y^12*x^6 + y^11*x^7 + y^16*x + x^20 + y^9*x^9 + y^3*x^16 + y^8*x^10 + y^13*x^4 + y^2*x^17 + y^7*x^11 + y*x^18 + y^6*x^12 + x^19 + y^5*x^13 + y^10*x^7 + y^4*x^14 + y^14*x^2 + y^13*x^3 + y^2*x^16 + y^12*x^4 + y*x^17 + y^11*x^5 + y^5*x^12 + y^10*x^6 + y^4*x^13 + y^9*x^7 + y^14*x + y^8*x^8 + y^13*x^2 + y^2*x^15 + y^12*x^3 + y*x^16 + x^17 + y^5*x^11 + y^4*x^12 + y^9*x^6 + y^3*x^13 + y^8*x^7 + y^2*x^14 + y*x^15 + y^6*x^9 + y^11*x^3 + x^16 + y^5*x^10 + y^9*x^5 + y^2*x^13 + y^12*x + y*x^14 + y^6*x^8 + y^11*x^2 + x^15 + y^5*x^9 + y^4*x^10 + y^9*x^4 + y^8*x^5 + y^2*x^12 + y*x^13 + y^11*x + x^14 + y^10*x^2 + y^9*x^3 + y^3*x^10 + y^2*x^11 + y^7*x^5 + y*x^12 + y^6*x^6 + x^13 + y^4*x^8 + y^9*x^2 + y*x^11 + x^12 + y^4*x^7 + y^9*x + y^3*x^8 + y^8*x^2 + y*x^10 + y^4*x^6 + y^8*x + y^2*x^8 + x^10 + y^4*x^5 + y*x^8 + y^6*x^2 + x^9 + y^4*x^4 + y^3*x^5 + y^2*x^6 + y*x^7 + x^8 + y^5*x^2 + y^4*x^3 + y^2*x^5 + y*x^6 + y^4*x^2 + y^2*x^4 + y*x^5 + y^4*x + y^3*x^2 + x^5 + y^3*x 10 y^20*x^186 + y^9*x^199 + y^19*x^187 + y^3*x^206 + y^8*x^200 + y^6*x^202 + x^209 + y^10*x^197 + y^15*x^191 + y^20*x^185 + y^4*x^204 + y^19*x^186 + y^3*x^205 + y^8*x^199 + y^18*x^187 + y^2*x^206 + y^6*x^201 + y^16*x^189 + y^5*x^202 + y^14*x^191 + y^3*x^204 + y^13*x^192 + y^11*x^194 + y^5*x^201 + y^10*x^195 + y^20*x^183 + y^13*x^191 + y^18*x^185 + y^12*x^192 + y*x^205 + y^6*x^199 + y^11*x^193 + x^206 + y^5*x^200 + y^15*x^188 + y^13*x^190 + y^18*x^184 + y^17*x^185 + y^16*x^186 + y^5*x^199 + y^10*x^193 + y^15*x^187 + y^9*x^194 + y^14*x^188 + y^3*x^201 + y^8*x^195 + y^18*x^183 + y^2*x^202 + y*x^203 + y^6*x^197 + y^11*x^191 + x^204 + y^5*x^198 + y^10*x^192 + y^15*x^186 + y^9*x^193 + y^14*x^187 + y^19*x^181 + y^3*x^200 + y^13*x^188 + y^18*x^182 + y^7*x^195 + y*x^202 + y^11*x^190 + y^16*x^184 + x^203 + y^5*x^197 + y^10*x^191 + y^20*x^179 + y^4*x^198 + y^9*x^192 + y^14*x^186 + y^3*x^199 + y^8*x^193 + y^13*x^187 + y^12*x^188 + y^11*x^189 + y^16*x^183 + y^10*x^190 + y^20*x^178 + y^9*x^191 + y^14*x^185 + y^19*x^179 + y^3*x^198 + y^8*x^192 + y^7*x^193 + y^6*x^194 + x^201 + y^10*x^189 + y^15*x^183 + y^20*x^177 + y^9*x^190 + y^14*x^184 + y^19*x^178 + y^8*x^191 + y^13*x^185 + y^2*x^198 + y*x^199 + y^11*x^187 + y^16*x^181 + y^5*x^194 + y^15*x^182 + y^20*x^176 + y^4*x^195 + y^9*x^189 + y^19*x^177 + y^12*x^185 + y^6*x^192 + y^11*x^186 + y^10*x^187 + y^15*x^181 + y^20*x^175 + y^4*x^194 + y^9*x^188 + y^14*x^182 + y^19*x^176 + y^3*x^195 + y^8*x^189 + y^13*x^183 + y^18*x^177 + y^2*x^196 + y^7*x^190 + y^11*x^185 + y^16*x^179 + y^5*x^192 + y^10*x^186 + y^15*x^180 + y^20*x^174 + y^9*x^187 + y^19*x^175 + y^3*x^194 + y^8*x^188 + y^18*x^176 + y^2*x^195 + y^7*x^189 + y^11*x^184 + y^16*x^178 + x^197 + y^5*x^191 + y^10*x^185 + y^15*x^179 + y^20*x^173 + y^4*x^192 + y^14*x^180 + y^19*x^174 + y^3*x^193 + y^8*x^187 + y^13*x^181 + y^18*x^175 + y^12*x^182 + y*x^195 + y^20*x^172 + y^4*x^191 + y^14*x^179 + y^13*x^180 + y^18*x^174 + y^2*x^193 + y^12*x^181 + y*x^194 + y^11*x^182 + y^16*x^176 + x^195 + y^10*x^183 + y^9*x^184 + y^3*x^191 + y^18*x^173 + y^12*x^180 + y*x^193 + y^16*x^175 + x^194 + y^5*x^188 + y^10*x^182 + y^15*x^176 + y^4*x^189 + y^19*x^171 + y^18*x^172 + y^12*x^179 + y^17*x^173 + y^11*x^180 + x^193 + y^5*x^187 + y^4*x^188 + y^9*x^182 + 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y^13*x^169 + y^2*x^182 + y^7*x^176 + y*x^183 + y^6*x^177 + y^11*x^171 + x^184 + y^5*x^178 + y^10*x^172 + y^20*x^160 + y^4*x^179 + y^19*x^161 + y^3*x^180 + y^8*x^174 + y^13*x^168 + y^2*x^181 + y^7*x^175 + y^12*x^169 + y^17*x^163 + y^16*x^164 + x^183 + y^20*x^159 + y^4*x^178 + y^14*x^166 + y^19*x^160 + y^3*x^179 + y*x^181 + y^6*x^175 + y^10*x^170 + y^15*x^164 + y^20*x^158 + y^9*x^171 + y^14*x^165 + y^3*x^178 + y^8*x^172 + y^18*x^160 + y^2*x^179 + y^17*x^161 + y*x^180 + y^5*x^175 + y^10*x^169 + y^14*x^164 + y^19*x^158 + y^3*x^177 + y^17*x^160 + y^6*x^173 + x^180 + y^5*x^174 + y^10*x^168 + y^8*x^170 + y^2*x^177 + y^7*x^171 + y^17*x^159 + y^11*x^166 + y^5*x^173 + y^10*x^167 + y^15*x^161 + y^9*x^168 + y^3*x^175 + y^13*x^163 + y^2*x^176 + y^7*x^170 + y^5*x^172 + y^15*x^160 + y^20*x^154 + y^4*x^173 + y^14*x^161 + y^18*x^156 + y^7*x^169 + y^12*x^163 + y^6*x^170 + y^16*x^158 + x^177 + y^10*x^165 + y^20*x^153 + y^9*x^166 + y^14*x^160 + y^18*x^155 + y^2*x^174 + y^7*x^168 + y^12*x^162 + y^17*x^156 + y^6*x^169 + y^11*x^163 + x^176 + y^15*x^158 + y^20*x^152 + y^4*x^171 + y^14*x^159 + y^3*x^172 + y^2*x^173 + y^7*x^167 + y^12*x^161 + y*x^174 + y^11*x^162 + y^16*x^156 + y^10*x^163 + y^20*x^151 + y^4*x^170 + y^9*x^164 + y^13*x^159 + y^2*x^172 + y^7*x^166 + y*x^173 + y^6*x^167 + y^11*x^161 + y^10*x^162 + y^20*x^150 + y^19*x^151 + y^17*x^153 + y^6*x^166 + x^173 + y^5*x^167 + y^4*x^168 + y^14*x^156 + y^8*x^163 + y^7*x^164 + y^12*x^158 + y^17*x^152 + y^6*x^165 + y^11*x^159 + y^16*x^153 + x^172 + y^5*x^166 + y^20*x^148 + y^19*x^149 + y^3*x^168 + y^8*x^162 + y^13*x^156 + y^12*x^157 + y^17*x^151 + y^4*x^166 + y^9*x^160 + y^8*x^161 + y^13*x^155 + y^18*x^149 + y^2*x^168 + y^7*x^162 + y^12*x^156 + y^17*x^150 + y*x^169 + y^6*x^163 + y^5*x^164 + y^15*x^152 + y^4*x^165 + y^9*x^159 + y^7*x^161 + y^12*x^155 + y^17*x^149 + y^6*x^162 + x^169 + y^15*x^151 + y^20*x^145 + y^4*x^164 + y^9*x^158 + y^18*x^147 + y^17*x^148 + y^6*x^161 + y^11*x^155 + x^168 + y^4*x^163 + y^9*x^157 + y^19*x^145 + y^3*x^164 + 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y^2*x^141 + y^7*x^135 + y^12*x^129 + y^10*x^131 + y^15*x^125 + y^20*x^119 + y^4*x^138 + y^14*x^126 + y^19*x^120 + y^8*x^133 + y^13*x^127 + y^7*x^134 + y^4*x^137 + y^14*x^125 + y^3*x^138 + y^8*x^132 + y^13*x^126 + y^18*x^120 + y^2*x^139 + y^17*x^121 + y*x^140 + y^11*x^128 + y^16*x^122 + y^5*x^135 + y^20*x^117 + y^4*x^136 + y^19*x^118 + y^3*x^137 + y^8*x^131 + y^18*x^119 + y*x^139 + x^140 + y^5*x^134 + y^4*x^135 + y^19*x^117 + y^3*x^136 + y^13*x^124 + y^7*x^131 + y^6*x^132 + y^11*x^126 + y^16*x^120 + y^5*x^133 + y^10*x^127 + y^20*x^115 + y^4*x^134 + y^9*x^128 + y^3*x^135 + y^2*x^136 + y^12*x^124 + y^6*x^131 + y^11*x^125 + y^5*x^132 + y^10*x^126 + y^9*x^127 + y^3*x^134 + y^8*x^128 + y^12*x^123 + y^17*x^117 + y*x^136 + y^6*x^130 + y^16*x^118 + x^137 + y^10*x^125 + y^15*x^119 + y^9*x^126 + y^14*x^120 + y^8*x^127 + y^13*x^121 + y^7*x^128 + y*x^135 + y^11*x^123 + y^16*x^117 + x^136 + y^20*x^112 + y^4*x^131 + y^9*x^125 + y^14*x^119 + y^3*x^132 + y^2*x^133 + y^7*x^127 + y^11*x^122 + x^135 + y^15*x^117 + y^4*x^130 + y^19*x^112 + y^8*x^125 + y^2*x^132 + y*x^133 + y^10*x^122 + y^15*x^116 + y^20*x^110 + y^9*x^123 + y^14*x^117 + y^19*x^111 + y^13*x^118 + y^18*x^112 + y^7*x^125 + y^17*x^113 + y^6*x^126 + y^5*x^127 + y^10*x^121 + y^20*x^109 + y^9*x^122 + y^14*x^116 + y^19*x^110 + y^13*x^117 + y^12*x^118 + y^17*x^112 + y^6*x^125 + y^11*x^119 + y^16*x^113 + x^132 + y^10*x^120 + y^15*x^114 + y^20*x^108 + y^4*x^127 + y^14*x^115 + y^8*x^122 + y^2*x^129 + y^11*x^118 + y^16*x^112 + x^131 + y^5*x^125 + y^10*x^119 + y^15*x^113 + y^9*x^120 + y^3*x^127 + y^8*x^121 + y^18*x^109 + y^12*x^116 + y^6*x^123 + y^10*x^118 + y^4*x^125 + y^14*x^113 + y^19*x^107 + y^3*x^126 + y^8*x^120 + y^18*x^108 + y^7*x^121 + y^12*x^115 + y^16*x^110 + y^20*x^105 + y^4*x^124 + y^19*x^106 + y^3*x^125 + y^2*x^126 + y^7*x^120 + y^12*x^114 + y*x^127 + y^11*x^115 + y^16*x^109 + x^128 + y^5*x^122 + y^20*x^104 + y^19*x^105 + y^18*x^106 + y^7*x^119 + y^12*x^113 + y*x^126 + y^11*x^114 + y^16*x^108 + y^10*x^115 + y^20*x^103 + y^9*x^116 + y^13*x^111 + y^7*x^118 + y*x^125 + y^6*x^119 + x^126 + y^10*x^114 + y^15*x^108 + y^4*x^121 + y^14*x^109 + y^19*x^103 + y^3*x^122 + y^13*x^110 + y^2*x^123 + y^12*x^111 + y*x^124 + y^10*x^113 + y^4*x^120 + y^14*x^108 + y^19*x^102 + y^18*x^103 + y^2*x^122 + y^7*x^116 + y^6*x^117 + y^11*x^111 + x^124 + y^5*x^118 + y^10*x^112 + y^15*x^106 + y^4*x^119 + y^9*x^113 + y^14*x^107 + y^13*x^108 + y^2*x^121 + y^17*x^103 + y*x^122 + y^6*x^116 + y^11*x^110 + y^16*x^104 + x^123 + y^5*x^117 + y^10*x^111 + y^14*x^106 + y^19*x^100 + y^3*x^119 + y^8*x^113 + y^13*x^107 + y^2*x^120 + y^12*x^108 + y*x^121 + x^122 + y^20*x^98 + y^4*x^117 + y^14*x^105 + y^19*x^99 + y^3*x^118 + y^8*x^112 + y^7*x^113 + y^12*x^107 + y^17*x^101 + y^6*x^114 + y^10*x^109 + y^15*x^103 + y^20*x^97 + y^9*x^110 + y^14*x^104 + y^19*x^98 + y^3*x^117 + y^8*x^111 + y^2*x^118 + y^6*x^113 + y^11*x^107 + y^16*x^101 + x^120 + y^10*x^108 + y^20*x^96 + y^14*x^103 + y^19*x^97 + y^8*x^110 + y^2*x^117 + y^12*x^105 + y^17*x^99 + x^119 + y^5*x^113 + y^20*x^95 + y^4*x^114 + y^9*x^108 + y^14*x^102 + y^3*x^115 + y^13*x^103 + y^18*x^97 + y^2*x^116 + y^7*x^110 + y^17*x^98 + y^5*x^112 + y^15*x^100 + y^14*x^101 + y^13*x^102 + y^18*x^96 + y^17*x^97 + y^11*x^104 + x^117 + y^15*x^99 + y^19*x^94 + y^3*x^113 + y^8*x^107 + y^18*x^95 + y^2*x^114 + y^7*x^108 + y^12*x^102 + y*x^115 + y^6*x^109 + y^11*x^103 + y^10*x^104 + y^20*x^92 + y^4*x^111 + y^9*x^105 + y^14*x^99 + y^19*x^93 + y^8*x^106 + y^13*x^100 + y*x^114 + y^6*x^108 + y^11*x^102 + y^16*x^96 + x^115 + y^5*x^109 + y^15*x^97 + y^20*x^91 + y^4*x^110 + y^18*x^93 + y^2*x^112 + y^7*x^106 + y^11*x^101 + y^5*x^108 + y^15*x^96 + y^19*x^91 + y^8*x^104 + y^13*x^98 + y^2*x^111 + y^12*x^99 + y^17*x^93 + y^6*x^106 + y^11*x^100 + y^16*x^94 + y^5*x^107 + y^15*x^95 + y^4*x^108 + y^19*x^90 + y^8*x^103 + y^13*x^97 + y^7*x^104 + y^17*x^92 + y^6*x^105 + y^16*x^93 + y^5*x^106 + y^10*x^100 + y^15*x^94 + y^20*x^88 + y^4*x^107 + y^19*x^89 + y^8*x^102 + y^13*x^96 + y^2*x^109 + y^7*x^103 + y*x^110 + 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y^4*x^85 + y^19*x^67 + y^3*x^86 + y^8*x^80 + y^13*x^74 + y^7*x^81 + y^6*x^82 + y^16*x^70 + y^15*x^71 + y^20*x^65 + y^14*x^72 + y^19*x^66 + y^3*x^85 + y^13*x^73 + y^2*x^86 + y^12*x^74 + y*x^87 + y^16*x^69 + y^15*x^70 + y^20*x^64 + y^4*x^83 + y^14*x^71 + y^8*x^78 + y^13*x^72 + y^18*x^66 + y^2*x^85 + y^12*x^73 + y^17*x^67 + y*x^86 + y^6*x^80 + y^11*x^74 + y^16*x^68 + x^87 + y^10*x^75 + y^15*x^69 + y^14*x^70 + y^13*x^71 + y^2*x^84 + y*x^85 + y^6*x^79 + y^11*x^73 + x^86 + y^10*x^74 + y^15*x^68 + y^20*x^62 + y^9*x^75 + y^19*x^63 + y^3*x^82 + y^18*x^64 + y^2*x^83 + y^7*x^77 + y*x^84 + y^6*x^78 + y^16*x^66 + x^85 + y^5*x^79 + y^10*x^73 + y^20*x^61 + y^9*x^74 + y^19*x^62 + y^3*x^81 + y^8*x^75 + y^13*x^69 + y^2*x^82 + y^7*x^76 + y^12*x^70 + y*x^83 + y^6*x^77 + y^11*x^71 + y^20*x^60 + y^4*x^79 + y^9*x^73 + y^3*x^80 + y^8*x^74 + y^18*x^62 + y^2*x^81 + y^7*x^75 + y^12*x^69 + y^17*x^63 + y^11*x^70 + y^16*x^64 + x^83 + y^5*x^77 + y^4*x^78 + y^3*x^79 + y^13*x^67 + y^18*x^61 + y^7*x^74 + y^11*x^69 + y^16*x^63 + x^82 + y^10*x^70 + y^15*x^64 + y^20*x^58 + y^4*x^77 + y^9*x^71 + y^19*x^59 + y^3*x^78 + y^18*x^60 + y^2*x^79 + y^7*x^73 + y*x^80 + y^10*x^69 + y^15*x^63 + y^4*x^76 + y^3*x^77 + y^13*x^65 + y^18*x^59 + y^2*x^78 + y^12*x^66 + y^16*x^61 + y^5*x^74 + y^4*x^75 + y^13*x^64 + y^12*x^65 + y*x^78 + y^5*x^73 + y^10*x^67 + y^15*x^61 + y^20*x^55 + y^9*x^68 + y^19*x^56 + y^3*x^75 + y^8*x^69 + y^13*x^63 + y^2*x^76 + y^7*x^70 + y^12*x^64 + y^17*x^58 + y^6*x^71 + y^11*x^65 + x^78 + y^20*x^54 + y^4*x^73 + y^19*x^55 + y^3*x^74 + y^18*x^56 + y^2*x^75 + y^7*x^69 + y^6*x^70 + x^77 + y^20*x^53 + y^4*x^72 + y^14*x^60 + y^19*x^54 + y^3*x^73 + y^13*x^61 + y^12*x^62 + y*x^75 + y^6*x^69 + y^11*x^63 + x^76 + y^5*x^70 + y^15*x^58 + y^20*x^52 + y^4*x^71 + y^3*x^72 + y^8*x^66 + y^2*x^73 + y^7*x^67 + y*x^74 + y^6*x^68 + y^11*x^62 + y^16*x^56 + x^75 + y^10*x^63 + y^15*x^57 + y^14*x^58 + y^19*x^52 + y^8*x^65 + y^13*x^59 + y^18*x^53 + y^2*x^72 + x^74 + y^5*x^68 + y^15*x^56 + y^20*x^50 + y^14*x^57 + y^13*x^58 + y^18*x^52 + y*x^72 + y^16*x^54 + x^73 + y^5*x^67 + y^4*x^68 + y^19*x^50 + y^13*x^57 + y^18*x^51 + y^7*x^64 + y^12*x^58 + y*x^71 + y^6*x^65 + y^16*x^53 + x^72 + y^5*x^66 + y^15*x^54 + y^20*x^48 + y^4*x^67 + y^9*x^61 + y^19*x^49 + y^3*x^68 + y^13*x^56 + y^18*x^50 + y^6*x^64 + y^16*x^52 + y^5*x^65 + y^10*x^59 + y^4*x^66 + y^14*x^54 + y^19*x^48 + y^8*x^61 + y^13*x^55 + y^12*x^56 + y*x^69 + y^16*x^51 + x^70 + y^5*x^64 + y^10*x^58 + y^20*x^46 + y^4*x^65 + y^8*x^60 + y^2*x^67 + y^7*x^61 + y^17*x^49 + y*x^68 + y^6*x^62 + y^11*x^56 + y^16*x^50 + y^5*x^63 + y^10*x^57 + y^15*x^51 + y^4*x^64 + y^14*x^52 + y^19*x^46 + y^8*x^59 + y^18*x^47 + y^12*x^54 + y*x^67 + y^6*x^61 + y^11*x^55 + y^16*x^49 + x^68 + y^5*x^62 + y^15*x^50 + y^4*x^63 + y^9*x^57 + y^14*x^51 + y^19*x^45 + y^13*x^52 + y^18*x^46 + y^7*x^59 + y^17*x^47 + y^10*x^55 + y^15*x^49 + y^20*x^43 + y^4*x^62 + y^9*x^56 + y^14*x^50 + y^19*x^44 + y^8*x^57 + y^7*x^58 + y^17*x^46 + y^6*x^59 + y^5*x^60 + y^10*x^54 + y^9*x^55 + y^14*x^49 + y^3*x^62 + 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y^20*x^34 + y^4*x^53 + y^14*x^41 + y^8*x^48 + y^13*x^42 + y^2*x^55 + y^12*x^43 + y*x^56 + y^11*x^44 + y^15*x^39 + y^20*x^33 + y^4*x^52 + y^9*x^46 + y^3*x^53 + y^8*x^47 + y^13*x^41 + y^18*x^35 + y^2*x^54 + y^12*x^42 + y*x^55 + y^6*x^49 + y^11*x^43 + y^15*x^38 + y^20*x^32 + y^4*x^51 + y^9*x^45 + y^19*x^33 + y^3*x^52 + y^8*x^46 + y^13*x^40 + y^17*x^35 + y^11*x^42 + y^5*x^49 + y^10*x^43 + y^20*x^31 + y^9*x^44 + y^8*x^45 + y^2*x^52 + y^7*x^46 + y*x^53 + y^6*x^47 + y^11*x^41 + y^16*x^35 + x^54 + y^15*x^36 + y^4*x^49 + y^14*x^37 + y^19*x^31 + y^8*x^44 + y^18*x^32 + y^2*x^51 + y^12*x^39 + y^17*x^33 + y*x^52 + y^6*x^46 + y^16*x^34 + y^5*x^47 + y^10*x^41 + y^15*x^35 + y^20*x^29 + y^4*x^48 + y^14*x^36 + y^8*x^43 + y^13*x^37 + y^18*x^31 + y^12*x^38 + y^6*x^45 + y^16*x^33 + y^15*x^34 + y^20*x^28 + y^4*x^47 + y^14*x^35 + y^3*x^48 + y^8*x^42 + y^13*x^36 + y^2*x^49 + y^7*x^43 + y*x^50 + y^11*x^38 + y^15*x^33 + y^20*x^27 + y^14*x^34 + y^19*x^28 + y^8*x^41 + y^13*x^35 + y^18*x^29 + y^12*x^36 + y^17*x^30 + y^11*x^37 + y^16*x^31 + y^5*x^44 + y^10*x^38 + y^20*x^26 + y^4*x^45 + y^14*x^33 + y^19*x^27 + y^8*x^40 + y^13*x^34 + y^18*x^28 + y^7*x^41 + y^17*x^29 + y^6*x^42 + x^49 + y^5*x^43 + y^10*x^37 + y^15*x^31 + y^14*x^32 + y^3*x^45 + y^8*x^39 + y^13*x^33 + y^2*x^46 + y^12*x^34 + y^17*x^28 + y^10*x^36 + y^15*x^30 + y^20*x^24 + y^4*x^43 + y^9*x^37 + y^19*x^25 + y^8*x^38 + y^18*x^26 + y^2*x^45 + y^7*x^39 + y^11*x^34 + y^5*x^41 + y^15*x^29 + y^20*x^23 + y^4*x^42 + y^19*x^24 + y^8*x^37 + y^2*x^44 + y^12*x^32 + y^17*x^26 + y*x^45 + y^11*x^33 + y^16*x^27 + x^46 + y^5*x^40 + y^20*x^22 + y^4*x^41 + y^2*x^43 + y*x^44 + y^16*x^26 + y^15*x^27 + y^20*x^21 + y^4*x^40 + y^14*x^28 + y^8*x^35 + y^18*x^23 + y^2*x^42 + y^7*x^36 + y^11*x^31 + y^16*x^25 + x^44 + y^5*x^38 + y^10*x^32 + y^15*x^26 + y^20*x^20 + y^4*x^39 + y^9*x^33 + y^8*x^34 + y^18*x^22 + y^2*x^41 + y^7*x^35 + y^12*x^29 + y*x^42 + y^6*x^36 + y^16*x^24 + y^10*x^31 + y^20*x^19 + y^4*x^38 + y^9*x^32 + y^3*x^39 + y^13*x^27 + y^12*x^28 + y*x^41 + y^6*x^35 + y^11*x^29 + y^16*x^23 + y^5*x^36 + y^20*x^18 + y^9*x^31 + y^14*x^25 + y^19*x^19 + y^3*x^38 + y^13*x^26 + y^18*x^20 + y^2*x^39 + y^12*x^27 + y^17*x^21 + y^6*x^34 + y^16*x^22 + x^41 + y^5*x^35 + y^15*x^23 + y^20*x^17 + y^9*x^30 + y^19*x^18 + y^3*x^37 + y^13*x^25 + y^18*x^19 + y^2*x^38 + y^7*x^32 + y^12*x^26 + y*x^39 + y^6*x^33 + y^5*x^34 + y^10*x^28 + y^20*x^16 + y^4*x^35 + y^18*x^18 + y^7*x^31 + y^6*x^32 + y^11*x^26 + y^5*x^33 + y^10*x^27 + y^20*x^15 + y^4*x^34 + y^9*x^28 + y^3*x^35 + y^8*x^29 + y^13*x^23 + y^2*x^36 + y^7*x^30 + y^12*x^24 + y^11*x^25 + y^16*x^19 + y^5*x^32 + y^4*x^33 + y^9*x^27 + y^19*x^15 + y^3*x^34 + y^18*x^16 + y^7*x^29 + y^6*x^30 + y^11*x^24 + x^37 + y^15*x^19 + y^4*x^32 + y^19*x^14 + y^3*x^33 + y^8*x^27 + y^13*x^21 + y^2*x^34 + y^6*x^29 + y^11*x^23 + y^5*x^30 + y^20*x^12 + y^9*x^25 + y^14*x^19 + y^13*x^20 + y^7*x^27 + y^12*x^21 + y*x^34 + y^6*x^28 + y^11*x^22 + y^16*x^16 + x^35 + y^5*x^29 + y^15*x^17 + y^20*x^11 + y^9*x^24 + y^14*x^18 + y^19*x^12 + y^3*x^31 + y^18*x^13 + y^12*x^20 + y^17*x^14 + y*x^33 + y^6*x^27 + y^11*x^21 + y^16*x^15 + y^15*x^16 + y^20*x^10 + y^4*x^29 + y^9*x^23 + y^14*x^17 + y^19*x^11 + y^3*x^30 + y^8*x^24 + y^17*x^13 + y^16*x^14 + x^33 + y^5*x^27 + y^20*x^9 + y^4*x^28 + y^14*x^16 + y^19*x^10 + y^3*x^29 + y^8*x^23 + y^18*x^11 + y^2*x^30 + y^12*x^18 + y^6*x^25 + y^11*x^19 + y^16*x^13 + y^5*x^26 + y^15*x^14 + y^20*x^8 + y^14*x^15 + y^19*x^9 + y^3*x^28 + y^8*x^22 + y^13*x^16 + y^2*x^29 + y^7*x^23 + y^12*x^17 + y^17*x^11 + y^6*x^24 + y^11*x^18 + x^31 + y^5*x^25 + y^20*x^7 + y^9*x^20 + y^14*x^14 + y^19*x^8 + y^3*x^27 + y^18*x^9 + y^2*x^28 + y^17*x^10 + y^11*x^17 + y^15*x^12 + y^20*x^6 + y^4*x^25 + y^14*x^13 + y^19*x^7 + y^18*x^8 + y^2*x^27 + y^17*x^9 + y^6*x^22 + y^16*x^10 + x^29 + y^10*x^17 + y^4*x^24 + y^19*x^6 + y^3*x^25 + y^18*x^7 + y^7*x^20 + y^12*x^14 + y^6*x^21 + y^10*x^16 + y^4*x^23 + y^9*x^17 + y^14*x^11 + y^19*x^5 + y^8*x^18 + y^6*x^20 + y^16*x^8 + y^10*x^15 + y^20*x^3 + y^19*x^4 + y^13*x^11 + y^18*x^5 + y^7*x^18 + y^17*x^6 + y^6*x^19 + y^11*x^13 + y^5*x^20 + y^10*x^14 + y^14*x^9 + y^19*x^3 + y^3*x^22 + y^8*x^16 + y^18*x^4 + y*x^24 + x^25 + y^10*x^13 + y^4*x^20 + y^14*x^8 + y^8*x^15 + y^18*x^3 + y^12*x^10 + y^6*x^17 + y^16*x^5 + y^5*x^18 + y^9*x^13 + y^19*x + y^8*x^14 + y^18*x^2 + y^2*x^21 + y^12*x^9 + y^17*x^3 + y^11*x^10 + y^5*x^17 + y^10*x^11 + y^15*x^5 + y^4*x^18 + y^14*x^6 + y^3*x^19 + y^8*x^13 + y^2*x^20 + y^7*x^14 + y^12*x^8 + y^6*x^15 + y^11*x^9 + y^5*x^16 + y^4*x^17 + y^9*x^11 + y^3*x^18 + y^7*x^13 + y^12*x^7 + y^11*x^8 + y^16*x^2 + y^5*x^15 + y^15*x^3 + y^3*x^17 + y^8*x^11 + y^7*x^12 + y^12*x^6 + y^11*x^7 + y^16*x + y^5*x^14 + y^10*x^8 + y^8*x^10 + y^13*x^4 + y^7*x^11 + y^12*x^5 + y*x^18 + y^10*x^7 + y^15*x + y^14*x^2 + y^8*x^9 + y^13*x^3 + y^7*x^10 + y*x^17 + x^18 + y^5*x^12 + y^4*x^13 + y^9*x^7 + y^3*x^14 + y^13*x^2 + y*x^16 + y^10*x^5 + y^4*x^12 + y^8*x^7 + y^13*x + y^7*x^8 + y*x^15 + y^6*x^9 + y^11*x^3 + x^16 + y^5*x^10 + y^4*x^11 + y^3*x^12 + y^8*x^6 + y*x^14 + x^15 + y^4*x^10 + y^8*x^5 + y^7*x^6 + y^11*x + x^14 + y^9*x^3 + y^3*x^10 + y^8*x^4 + y^2*x^11 + y*x^12 + x^13 + y^10*x + y^4*x^8 + y^3*x^9 + y^2*x^10 + y^7*x^4 + y^5*x^6 + y^3*x^8 + y^8*x^2 + y^2*x^9 + y^7*x^3 + y*x^10 + y^4*x^6 + y^8*x + y^6*x^3 + y^4*x^5 + y^7*x + y^6*x^2 + x^9 + y^3*x^5 + y^2*x^6 + y^5*x^2 + y^4*x^3 + y^3*x^4 + y^4*x^2 + y*x^5 + y^3*x^2 + y^2*x^3 + y^3*x + y*x^3 + y^2*x + y*x^2 + x^3 13 y^5*x^204 + y^4*x^205 + y^13*x^194 + y^18*x^188 + y^2*x^207 + y^7*x^201 + y^17*x^189 + y^6*x^202 + y^11*x^196 + y^16*x^190 + y^5*x^203 + y^15*x^191 + y^20*x^185 + y^14*x^192 + y^19*x^186 + y^8*x^199 + y^18*x^187 + y^6*x^201 + y^16*x^189 + y^10*x^196 + y^15*x^190 + y^20*x^184 + y^9*x^197 + y^8*x^198 + y^7*x^199 + y^12*x^193 + y^17*x^187 + y^6*x^200 + y^11*x^194 + y^10*x^195 + y^15*x^189 + y^20*x^183 + y^14*x^190 + y^19*x^184 + y^3*x^203 + y^8*x^197 + y^13*x^191 + y^18*x^185 + y^2*x^204 + y^11*x^193 + y^14*x^189 + y^3*x^202 + y^2*x^203 + y^12*x^191 + y^6*x^198 + y^16*x^186 + y^5*x^199 + y^15*x^187 + y^20*x^181 + y^4*x^200 + y^9*x^194 + y^14*x^188 + y^19*x^182 + y^3*x^201 + y^13*x^189 + y^7*x^196 + y^12*x^190 + y^17*x^184 + y*x^203 + y^16*x^185 + y^5*x^198 + y^20*x^180 + y^19*x^181 + y^3*x^200 + y^13*x^188 + y^2*x^201 + y^7*x^195 + y^17*x^183 + y^6*x^196 + y^11*x^190 + x^203 + y^10*x^191 + y^15*x^185 + y^9*x^192 + y^14*x^186 + y^3*x^199 + y^13*x^187 + y^18*x^181 + y^7*x^194 + y^12*x^188 + y^17*x^182 + y*x^201 + x^202 + y^10*x^190 + y^20*x^178 + y^4*x^197 + y^19*x^179 + y^3*x^198 + y^18*x^180 + y*x^200 + y^5*x^195 + y^15*x^183 + y^20*x^177 + y^4*x^196 + y^3*x^197 + y^8*x^191 + y^18*x^179 + y^7*x^192 + y^12*x^186 + y^17*x^180 + y^16*x^181 + y^10*x^188 + y^15*x^182 + y^20*x^176 + y^9*x^189 + y^19*x^177 + y^3*x^196 + y^18*x^178 + y^2*x^197 + y^7*x^191 + y*x^198 + y^6*x^192 + y^11*x^186 + y^16*x^180 + y^10*x^187 + y^15*x^181 + y^9*x^188 + y^14*x^182 + y^19*x^176 + y^3*x^195 + y^13*x^183 + y^7*x^190 + y^12*x^184 + y^11*x^185 + y^16*x^179 + y^5*x^192 + y^20*x^174 + y^4*x^193 + y^9*x^187 + y^14*x^181 + y^19*x^175 + y^3*x^194 + y^8*x^188 + y^13*x^182 + y^2*x^195 + y^12*x^183 + y*x^196 + y^6*x^190 + y^11*x^184 + y^16*x^178 + y^20*x^173 + y^9*x^186 + y^14*x^180 + y^19*x^174 + y^3*x^193 + y^8*x^187 + y^7*x^188 + y^12*x^182 + y*x^195 + y^11*x^183 + x^196 + y^20*x^172 + y^9*x^185 + y^14*x^179 + y^19*x^173 + y^13*x^180 + y^2*x^193 + y^12*x^181 + y^6*x^188 + y^16*x^176 + x^195 + y^5*x^189 + y^19*x^172 + y^3*x^191 + y^8*x^185 + y^2*x^192 + y^7*x^186 + y^12*x^180 + y^6*x^187 + y^11*x^181 + y^16*x^175 + x^194 + y^15*x^176 + y^4*x^189 + y^14*x^177 + y^19*x^171 + y^3*x^190 + y^13*x^178 + y^7*x^185 + y^6*x^186 + y^5*x^187 + y^15*x^175 + y^20*x^169 + y^4*x^188 + y^3*x^189 + y^7*x^184 + y*x^191 + y^6*x^185 + y^11*x^179 + y^16*x^173 + y^9*x^181 + y^19*x^169 + y^3*x^188 + y^13*x^176 + y^7*x^183 + y^12*x^177 + y^17*x^171 + y^6*x^184 + y^16*x^172 + x^191 + y^5*x^185 + y^10*x^179 + y^20*x^167 + y^9*x^180 + y^14*x^174 + y^13*x^175 + y^7*x^182 + y^17*x^170 + y*x^189 + y^6*x^183 + y^16*x^171 + y^5*x^184 + y^10*x^178 + y^15*x^172 + y^4*x^185 + y^14*x^173 + y^3*x^186 + y^8*x^180 + y^13*x^174 + y^18*x^168 + y^7*x^181 + y^12*x^175 + y^6*x^182 + y^11*x^176 + x^189 + y^5*x^183 + y^20*x^165 + y^9*x^178 + y^14*x^172 + y^19*x^166 + y^3*x^185 + y*x^187 + y^6*x^181 + y^16*x^169 + y^10*x^176 + y^15*x^170 + y^20*x^164 + y^14*x^171 + y^8*x^178 + y^13*x^172 + y^7*x^179 + y^17*x^167 + y*x^186 + y^6*x^180 + y^16*x^168 + y^15*x^169 + y^4*x^182 + y^9*x^176 + y^19*x^164 + y^17*x^166 + y^11*x^173 + y^16*x^167 + x^186 + y^10*x^174 + y^15*x^168 + y^4*x^181 + y^19*x^163 + y^8*x^176 + y^2*x^183 + y^12*x^171 + y^17*x^165 + y^6*x^178 + y^5*x^179 + y^10*x^173 + y^20*x^161 + y^4*x^180 + y^9*x^174 + y^19*x^162 + y^8*x^175 + y^18*x^163 + y^12*x^170 + y^17*x^164 + y*x^183 + y^6*x^177 + y^16*x^165 + y^5*x^178 + y^9*x^173 + y^14*x^167 + y^8*x^174 + y^13*x^168 + y^2*x^181 + y^17*x^163 + y^6*x^176 + y^11*x^170 + y^10*x^171 + y^20*x^159 + y^4*x^178 + y^9*x^172 + y^14*x^166 + y^3*x^179 + y^8*x^173 + y^13*x^167 + y^7*x^174 + y^12*x^168 + y^17*x^162 + y^11*x^169 + y^5*x^176 + y^15*x^164 + y^20*x^158 + y^3*x^178 + y^8*x^172 + y^13*x^166 + y^18*x^160 + y^7*x^173 + y^12*x^167 + y^17*x^161 + y^11*x^168 + y^16*x^162 + x^181 + y^20*x^157 + y^4*x^176 + y^9*x^170 + y^19*x^158 + y^3*x^177 + y^13*x^165 + y^7*x^172 + y^12*x^166 + y*x^179 + y^16*x^161 + x^180 + y^5*x^174 + y^20*x^156 + y^9*x^169 + y^14*x^163 + y^8*x^170 + y^18*x^158 + y^17*x^159 + y*x^178 + y^6*x^172 + y^5*x^173 + y^20*x^155 + y^9*x^168 + y^14*x^162 + y^3*x^175 + y^18*x^157 + y^17*x^158 + y*x^177 + y^6*x^171 + y^15*x^160 + y^9*x^167 + y^14*x^161 + y^19*x^155 + y^13*x^162 + y^18*x^156 + y^2*x^175 + y^7*x^169 + y^17*x^157 + y*x^176 + y^6*x^170 + y^11*x^164 + y^16*x^158 + y^5*x^171 + y^4*x^172 + y^14*x^160 + y^19*x^154 + y^2*x^174 + y^7*x^168 + y^17*x^156 + y^5*x^170 + y^10*x^164 + y^15*x^158 + y^4*x^171 + y^19*x^153 + y^3*x^172 + y^8*x^166 + y^12*x^161 + y^17*x^155 + y^6*x^168 + y^10*x^163 + y^4*x^170 + y^14*x^158 + y^19*x^152 + y^3*x^171 + y^8*x^165 + y^18*x^153 + y^7*x^166 + y^17*x^154 + y*x^173 + y^11*x^161 + y^16*x^155 + y^5*x^168 + y^15*x^156 + y^19*x^151 + y^8*x^164 + y^13*x^158 + y^17*x^153 + y^11*x^160 + x^173 + y^5*x^167 + y^4*x^168 + y^9*x^162 + y^14*x^156 + y^3*x^169 + y^8*x^163 + y^13*x^157 + y^18*x^151 + y^7*x^164 + y^17*x^152 + y*x^171 + y^6*x^165 + y^11*x^159 + y^15*x^154 + y^20*x^148 + y^8*x^162 + y^2*x^169 + y^7*x^163 + y^17*x^151 + y*x^170 + y^6*x^164 + y^11*x^158 + y^16*x^152 + y^10*x^159 + y^20*x^147 + y^9*x^160 + y^14*x^154 + y^19*x^148 + y^3*x^167 + y^18*x^149 + y^2*x^168 + y^17*x^150 + y*x^169 + y^6*x^163 + y^11*x^157 + y^5*x^164 + y^10*x^158 + y^4*x^165 + y^9*x^159 + y^14*x^153 + y^3*x^166 + y^2*x^167 + y^7*x^161 + y^12*x^155 + y^17*x^149 + y*x^168 + y^6*x^162 + x^169 + y^5*x^163 + y^10*x^157 + y^15*x^151 + y^4*x^164 + y^9*x^158 + y^14*x^152 + y^19*x^146 + y^3*x^165 + y^13*x^153 + y^17*x^148 + y^6*x^161 + x^168 + y^20*x^144 + y^14*x^151 + y^19*x^145 + y^13*x^152 + y^2*x^165 + y^7*x^159 + y^6*x^160 + y^11*x^154 + y^16*x^148 + y^20*x^143 + y^9*x^156 + y^3*x^163 + y^8*x^157 + y^13*x^151 + y^17*x^146 + y^5*x^160 + y^4*x^161 + y^19*x^143 + y^3*x^162 + y^8*x^156 + y^13*x^150 + y^7*x^157 + y*x^164 + y^16*x^146 + x^165 + y^5*x^159 + y^10*x^153 + y^20*x^141 + y^4*x^160 + y^9*x^154 + y^14*x^148 + y^19*x^142 + y^18*x^143 + y^2*x^162 + y^12*x^150 + y^17*x^144 + y^6*x^157 + y^11*x^151 + y^15*x^146 + y^20*x^140 + y^9*x^153 + y^19*x^141 + y^8*x^154 + y^18*x^142 + y^2*x^161 + y^7*x^155 + y^12*x^149 + y^17*x^143 + y^6*x^156 + y^11*x^150 + x^163 + y^5*x^157 + y^10*x^151 + y^15*x^145 + y^20*x^139 + y^14*x^146 + y^19*x^140 + y^3*x^159 + y^8*x^153 + y^12*x^148 + y^17*x^142 + y^11*x^149 + x^162 + y^5*x^156 + y^15*x^144 + y^20*x^138 + y^4*x^157 + y^9*x^151 + y^3*x^158 + y^18*x^140 + y^7*x^153 + y^12*x^147 + y^6*x^154 + y^11*x^148 + y^10*x^149 + y^15*x^143 + y^20*x^137 + y^9*x^150 + y^14*x^144 + y^19*x^138 + y^13*x^145 + y^18*x^139 + y^2*x^158 + y^7*x^152 + y^12*x^146 + y^17*x^140 + y^6*x^153 + y^11*x^147 + y^16*x^141 + x^160 + y^4*x^155 + y^14*x^143 + y^19*x^137 + y^3*x^156 + y^18*x^138 + y^2*x^157 + y^7*x^151 + y^17*x^139 + y*x^158 + x^159 + y^10*x^147 + y^20*x^135 + y^4*x^154 + y^19*x^136 + y^3*x^155 + y^13*x^143 + y^18*x^137 + y^12*x^144 + y^17*x^138 + y^11*x^145 + x^158 + y^15*x^140 + y^20*x^134 + y^4*x^153 + y^14*x^141 + y^3*x^154 + y^18*x^136 + y^2*x^155 + y^7*x^149 + y^12*x^143 + y^17*x^137 + y*x^156 + y^11*x^144 + y^16*x^138 + y^10*x^145 + y^15*x^139 + y^20*x^133 + y^3*x^153 + y^8*x^147 + y^13*x^141 + y^18*x^135 + y^6*x^149 + x^156 + y^10*x^144 + y^15*x^138 + y^9*x^145 + y^14*x^139 + y^19*x^133 + y^3*x^152 + y^8*x^146 + y^13*x^140 + y^2*x^153 + y^7*x^147 + y^17*x^135 + y*x^154 + y^16*x^136 + y^4*x^150 + y^9*x^144 + y^14*x^138 + y^19*x^132 + y^8*x^145 + y^13*x^139 + y^2*x^152 + y^7*x^146 + y^17*x^134 + y*x^153 + y^11*x^141 + x^154 + y^10*x^142 + y^14*x^137 + y^19*x^131 + y^3*x^150 + y^13*x^138 + y^18*x^132 + y^12*x^139 + y^17*x^133 + y^6*x^146 + y^16*x^134 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y^6*x^34 + y^11*x^28 + y^16*x^22 + y^10*x^29 + y^15*x^23 + y^4*x^36 + y^9*x^30 + y^19*x^18 + y^3*x^37 + y*x^39 + y^6*x^33 + y^11*x^27 + y^5*x^34 + y^4*x^35 + y^14*x^23 + y^19*x^17 + y^3*x^36 + y^13*x^24 + y^2*x^37 + y*x^38 + y^11*x^26 + y^16*x^20 + y^10*x^27 + y^9*x^28 + y^14*x^22 + y^19*x^16 + y^8*x^29 + y^2*x^36 + y*x^37 + y^6*x^31 + y^16*x^19 + x^38 + y^10*x^26 + y^15*x^20 + y^4*x^33 + y^3*x^34 + y^8*x^28 + y^2*x^35 + y^7*x^29 + y^17*x^17 + y*x^36 + y^11*x^24 + y^5*x^31 + y^15*x^19 + y^4*x^32 + y^9*x^26 + y^3*x^33 + y^13*x^21 + y^2*x^34 + y^12*x^22 + y*x^35 + y^6*x^29 + x^36 + y^20*x^12 + y^3*x^32 + y^8*x^26 + y^18*x^14 + y^2*x^33 + y^15*x^17 + y^20*x^11 + y^4*x^30 + y^9*x^24 + y^8*x^25 + y^18*x^13 + y^7*x^26 + y*x^33 + x^34 + y^10*x^22 + y^15*x^16 + y^20*x^10 + y^4*x^29 + y^19*x^11 + y^3*x^30 + y^18*x^12 + y^2*x^31 + y^6*x^26 + y^16*x^14 + x^33 + y^10*x^21 + y^15*x^15 + y^9*x^22 + y^19*x^10 + y^8*x^23 + y^18*x^11 + y^7*x^24 + y^17*x^12 + y^11*x^19 + y^16*x^13 + x^32 + y^5*x^26 + 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y^14*x^179 + y^19*x^173 + y^13*x^180 + y^17*x^175 + y*x^194 + y^6*x^188 + y^11*x^182 + x^195 + y^15*x^177 + y^20*x^171 + y^19*x^172 + y^8*x^185 + y^12*x^180 + y^17*x^174 + y*x^193 + y^11*x^181 + x^194 + y^10*x^182 + y^4*x^189 + y^9*x^183 + y^14*x^177 + y^3*x^190 + y^8*x^184 + y^13*x^178 + y^18*x^172 + y^2*x^191 + y^7*x^185 + y^6*x^186 + x^193 + y^5*x^187 + y^20*x^169 + y^9*x^182 + y^3*x^189 + y^2*x^190 + y^12*x^178 + y^17*x^172 + y^11*x^179 + y^16*x^173 + x^192 + y^4*x^187 + y^3*x^188 + y^8*x^182 + y^18*x^170 + y^2*x^189 + y*x^190 + y^16*x^172 + y^4*x^186 + y^9*x^180 + y^19*x^168 + y^3*x^187 + y^8*x^181 + y^13*x^175 + y^18*x^169 + y^7*x^182 + y^17*x^170 + y*x^189 + y^11*x^177 + y^5*x^184 + y^15*x^172 + y^20*x^166 + y^4*x^185 + y^14*x^173 + y^8*x^180 + y^2*x^187 + y^7*x^181 + y*x^188 + y^6*x^182 + x^189 + y^5*x^183 + y^15*x^171 + y^4*x^184 + y^9*x^178 + y^3*x^185 + y^2*x^186 + y^12*x^174 + y^11*x^175 + y^5*x^182 + y^10*x^176 + y^4*x^183 + y^19*x^165 + y^3*x^184 + y^8*x^178 + y^18*x^166 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y^14*x^126 + y^19*x^120 + y^13*x^127 + y^18*x^121 + y^2*x^140 + y^12*x^128 + y^17*x^122 + y^11*x^129 + y^16*x^123 + x^142 + y^5*x^136 + y^10*x^130 + y^15*x^124 + y^9*x^131 + y^3*x^138 + y^18*x^120 + y^7*x^133 + y^12*x^127 + y^17*x^121 + y^11*x^128 + y^16*x^122 + x^141 + y^10*x^129 + y^14*x^124 + y^18*x^119 + y^7*x^132 + y^6*x^133 + y^11*x^127 + y^16*x^121 + y^5*x^134 + y^10*x^128 + y^15*x^122 + y^20*x^116 + y^4*x^135 + y^19*x^117 + y^8*x^130 + y^13*x^124 + y^18*x^118 + y^7*x^131 + y^12*x^125 + y*x^138 + y^6*x^132 + y^11*x^126 + y^16*x^120 + y^5*x^133 + y^20*x^115 + y^4*x^134 + y^19*x^116 + y^3*x^135 + y^8*x^129 + y^13*x^123 + y^18*x^117 + y^11*x^125 + y^16*x^119 + y^5*x^132 + y^10*x^126 + y^15*x^120 + y^9*x^127 + y^19*x^115 + y^8*x^128 + y^18*x^116 + y^7*x^129 + y^12*x^123 + y^17*x^117 + y*x^136 + y^6*x^130 + y^16*x^118 + y^10*x^125 + y^14*x^120 + y^8*x^127 + y^13*x^121 + y^18*x^115 + y^2*x^134 + y^12*x^122 + y^17*x^116 + y*x^135 + y^11*x^123 + y^16*x^117 + x^136 + y^5*x^130 + y^15*x^118 + y^9*x^125 + y^19*x^113 + y^18*x^114 + y^7*x^127 + y^17*x^115 + y^6*x^128 + y^16*x^116 + y^5*x^129 + y^15*x^117 + y^20*x^111 + y^9*x^124 + y^14*x^118 + y^19*x^112 + y^3*x^131 + y^8*x^125 + y^18*x^113 + y^12*x^120 + y^17*x^114 + y^6*x^127 + y^11*x^121 + y^16*x^115 + x^134 + y^10*x^122 + y^20*x^110 + y^4*x^129 + y^19*x^111 + y^3*x^130 + y^13*x^118 + y^18*x^112 + y^2*x^131 + y^7*x^125 + y^6*x^126 + y^11*x^120 + y^16*x^114 + y^15*x^115 + y^4*x^128 + y^19*x^110 + y^3*x^129 + y^8*x^123 + y^2*x^130 + y^7*x^124 + y^17*x^112 + y^16*x^113 + y^5*x^126 + y^15*x^114 + y^4*x^127 + y^14*x^115 + y^3*x^128 + y^18*x^110 + y^7*x^123 + y*x^130 + y^6*x^124 + y^16*x^112 + x^131 + y^4*x^126 + y^9*x^120 + y^19*x^108 + y^8*x^121 + y^18*x^109 + y^7*x^122 + y^12*x^116 + y^6*x^123 + y^11*x^117 + x^130 + y^19*x^107 + y^3*x^126 + y^8*x^120 + y^13*x^114 + y^2*x^127 + y^12*x^115 + y^17*x^109 + y^6*x^122 + x^129 + y^5*x^123 + y^15*x^111 + y^20*x^105 + y^9*x^118 + y^3*x^125 + y^8*x^119 + y^18*x^107 + y^12*x^114 + y*x^127 + y^11*x^115 + x^128 + y^15*x^110 + y^20*x^104 + y^4*x^123 + y^9*x^117 + y^14*x^111 + y^3*x^124 + y^8*x^118 + y^18*x^106 + y^6*x^120 + y^5*x^121 + y^10*x^115 + y^15*x^109 + y^20*x^103 + y^4*x^122 + y^8*x^117 + y^13*x^111 + y^12*x^112 + y^17*x^106 + y*x^125 + x^126 + y^5*x^120 + y^10*x^114 + y^20*x^102 + y^9*x^115 + y^14*x^109 + y^3*x^122 + y^8*x^116 + y^13*x^110 + y^18*x^104 + y^2*x^123 + y^7*x^117 + y^12*x^111 + y^16*x^106 + y^5*x^119 + y^10*x^113 + y^20*x^101 + y^9*x^114 + y^14*x^108 + y^19*x^102 + y^3*x^121 + y^18*x^103 + y^2*x^122 + y^7*x^116 + y^16*x^105 + x^124 + y^10*x^112 + y^20*x^100 + y^4*x^119 + y^9*x^113 + y^19*x^101 + y^3*x^120 + y^13*x^108 + y^18*x^102 + y^2*x^121 + y^7*x^115 + y^12*x^109 + y^17*x^103 + y^6*x^116 + y^11*x^110 + y^10*x^111 + y^15*x^105 + y^20*x^99 + y^19*x^100 + y^3*x^119 + y^8*x^113 + y^18*x^101 + y^2*x^120 + y^6*x^115 + y^11*x^109 + y^10*x^110 + y^4*x^117 + y^19*x^99 + y^3*x^118 + y^8*x^112 + y^18*x^100 + y^12*x^107 + y^17*x^101 + 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+ y^11*x^10 + y^10*x^11 + y^9*x^12 + y^14*x^6 + y^8*x^13 + y^13*x^7 + y*x^21 + y^6*x^15 + y^11*x^9 + y^10*x^10 + y^4*x^17 + y^9*x^11 + y^3*x^18 + y^8*x^12 + y^13*x^6 + y^2*x^19 + y^6*x^14 + y^16*x^2 + x^21 + y^15*x^3 + y^4*x^16 + y^9*x^10 + y^3*x^17 + y^8*x^11 + y^13*x^5 + y^2*x^18 + y*x^19 + y^6*x^13 + y^11*x^7 + x^20 + y^15*x^2 + y^9*x^9 + y^14*x^3 + y^3*x^16 + y^8*x^10 + y^7*x^11 + y^12*x^5 + y^6*x^12 + y^10*x^7 + y^9*x^8 + y^8*x^9 + y^2*x^16 + y*x^17 + y^11*x^5 + x^18 + y^5*x^12 + y^10*x^6 + y^4*x^13 + y^9*x^7 + y^3*x^14 + y^5*x^11 + y^10*x^5 + y^4*x^12 + y^3*x^13 + y^8*x^7 + y^7*x^8 + y^12*x^2 + y*x^15 + x^16 + y^8*x^6 + y^6*x^8 + x^15 + y^9*x^4 + y^3*x^11 + y^8*x^5 + y*x^13 + x^14 + y^5*x^8 + y^9*x^3 + y^3*x^10 + y^8*x^4 + y^2*x^11 + y^7*x^5 + y^6*x^6 + y^5*x^7 + y^4*x^8 + y^9*x^2 + y^3*x^9 + y^2*x^10 + y^7*x^4 + y*x^11 + y^7*x^3 + y^6*x^4 + y^3*x^7 + y*x^9 + x^10 + y^5*x^4 + x^9 + y^4*x^4 + y^3*x^5 + y^4*x^3 + y*x^6 + x^7 + y^4*x^2 + y^3*x^3 + y^2*x^4 + y*x^5 + y^2*x^3 + x^5 + 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+ y^5*x^188 + y^10*x^182 + y^15*x^176 + y^4*x^189 + y^3*x^190 + y^8*x^184 + y^13*x^178 + y^18*x^172 + y^2*x^191 + y^12*x^179 + y^17*x^173 + y^16*x^174 + y^5*x^187 + y^10*x^181 + y^4*x^188 + y^3*x^189 + y^2*x^190 + y^17*x^172 + y^6*x^185 + y^16*x^173 + x^192 + y^10*x^180 + y^9*x^181 + y^14*x^175 + y^19*x^169 + y^8*x^182 + y^17*x^171 + y*x^190 + y^11*x^178 + y^16*x^172 + y^5*x^185 + y^10*x^179 + y^20*x^167 + y^4*x^186 + y^9*x^180 + y^14*x^174 + y^3*x^187 + y^18*x^169 + y^2*x^188 + y^7*x^182 + y^11*x^177 + y^16*x^171 + x^190 + y^5*x^184 + y^15*x^172 + y^20*x^166 + y^3*x^186 + y^13*x^174 + y^12*x^175 + y^6*x^182 + y^15*x^171 + y^20*x^165 + y^9*x^178 + y^14*x^172 + y^19*x^166 + y^13*x^173 + y^7*x^180 + y*x^187 + y^6*x^181 + y^11*x^175 + y^16*x^169 + x^188 + y^5*x^182 + y^15*x^170 + y^20*x^164 + y^19*x^165 + y^3*x^184 + y^18*x^166 + y^17*x^167 + x^187 + y^10*x^175 + y^15*x^169 + y^20*x^163 + y^4*x^182 + y^3*x^183 + y^12*x^172 + y^17*x^166 + y*x^185 + y^6*x^179 + y^11*x^173 + y^16*x^167 + 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y^17*x^135 + y^6*x^148 + y^5*x^149 + y^10*x^143 + y^15*x^137 + y^9*x^144 + y^14*x^138 + y^13*x^139 + y^6*x^147 + y^10*x^142 + y^15*x^136 + y^20*x^130 + y^9*x^143 + y^3*x^150 + y^12*x^139 + y^17*x^133 + y*x^152 + y^6*x^146 + y^11*x^140 + y^16*x^134 + x^153 + y^5*x^147 + y^10*x^141 + y^20*x^129 + y^19*x^130 + y^3*x^149 + y^2*x^150 + y^7*x^144 + y^12*x^138 + y^17*x^132 + y^6*x^145 + y^11*x^139 + x^152 + y^5*x^146 + y^10*x^140 + y^14*x^135 + y^19*x^129 + y^3*x^148 + y^8*x^142 + y^13*x^136 + y^2*x^149 + y*x^150 + y^6*x^144 + x^151 + y^5*x^145 + y^15*x^133 + y^20*x^127 + y^9*x^140 + y^14*x^134 + y^19*x^128 + y^8*x^141 + y^6*x^143 + y^11*x^137 + y^16*x^131 + y^5*x^144 + y^10*x^138 + y^20*x^126 + y^14*x^133 + y^3*x^146 + y^18*x^128 + y^2*x^147 + y^12*x^135 + y^6*x^142 + y^16*x^130 + y^10*x^137 + y^15*x^131 + y^20*x^125 + y^9*x^138 + y^19*x^126 + y^8*x^139 + y^13*x^133 + y^2*x^146 + y^7*x^140 + y^17*x^128 + y*x^147 + y^11*x^135 + x^148 + y^5*x^142 + y^15*x^130 + y^20*x^124 + y^4*x^143 + y^9*x^137 + y^14*x^131 + y^19*x^125 + y^8*x^138 + y^13*x^132 + y^2*x^145 + y^12*x^133 + y*x^146 + y^6*x^140 + y^16*x^128 + y^10*x^135 + y^15*x^129 + y^20*x^123 + y^4*x^142 + y^9*x^136 + y^3*x^143 + y^13*x^131 + y^2*x^144 + y*x^145 + y^10*x^134 + y^15*x^128 + y^4*x^141 + y^14*x^129 + y^8*x^136 + y^18*x^124 + y^2*x^143 + y^12*x^131 + y^6*x^138 + y^11*x^132 + y^16*x^126 + y^5*x^139 + y^10*x^133 + y^15*x^127 + y^20*x^121 + y^4*x^140 + y^14*x^128 + y^19*x^122 + y^18*x^123 + y^6*x^137 + y^11*x^131 + y^16*x^125 + y^5*x^138 + y^15*x^126 + y^9*x^133 + y^3*x^140 + y^8*x^134 + y*x^142 + y^10*x^131 + y^4*x^138 + y^8*x^133 + y^2*x^140 + y^12*x^128 + y^17*x^122 + y*x^141 + y^6*x^135 + y^16*x^123 + y^5*x^136 + y^10*x^130 + y^15*x^124 + y^9*x^131 + y^14*x^125 + y^19*x^119 + y^8*x^132 + y^13*x^126 + y^2*x^139 + y^7*x^133 + y^11*x^128 + y^15*x^123 + y^20*x^117 + y^9*x^130 + y^14*x^124 + y^19*x^118 + y^7*x^132 + y*x^139 + y^11*x^127 + x^140 + y^10*x^128 + y^15*x^122 + y^20*x^116 + y^9*x^129 + y^14*x^123 + y^19*x^117 + y^8*x^130 + y^18*x^118 + y^2*x^137 + y^7*x^131 + y^12*x^125 + y^17*x^119 + y*x^138 + y^11*x^126 + y^16*x^120 + y^5*x^133 + y^10*x^127 + y^15*x^121 + y^20*x^115 + y^19*x^116 + y^12*x^124 + y^6*x^131 + y^11*x^125 + x^138 + y^15*x^120 + y^20*x^114 + y^19*x^115 + y^3*x^134 + y^8*x^128 + y^13*x^122 + y^18*x^116 + y^2*x^135 + y^7*x^129 + y^17*x^117 + y^6*x^130 + x^137 + y^10*x^125 + y^15*x^119 + y^9*x^126 + y^14*x^120 + y^13*x^121 + y^18*x^115 + y^12*x^122 + y*x^135 + y^6*x^129 + y^10*x^124 + y^14*x^119 + y^13*x^120 + y^7*x^127 + y^17*x^115 + y*x^134 + y^6*x^128 + y^16*x^116 + x^135 + y^15*x^117 + y^9*x^124 + y^14*x^118 + y^19*x^112 + y^2*x^132 + y^11*x^121 + x^134 + y^5*x^128 + y^20*x^110 + y^4*x^129 + y^19*x^111 + y^7*x^125 + y^17*x^113 + y*x^132 + y^11*x^120 + x^133 + y^5*x^127 + y^10*x^121 + y^15*x^115 + y^4*x^128 + y^9*x^122 + y^19*x^110 + y^13*x^117 + y^2*x^130 + y*x^131 + y^6*x^125 + y^11*x^119 + y^10*x^120 + y^15*x^114 + y^20*x^108 + y^4*x^127 + y^14*x^115 + y^19*x^109 + y^3*x^128 + y^13*x^116 + y^11*x^118 + y^16*x^112 + y^4*x^126 + y^7*x^122 + y^12*x^116 + y^17*x^110 + y^6*x^123 + x^130 + y^15*x^112 + y^20*x^106 + y^13*x^114 + y^2*x^127 + y*x^128 + y^11*x^116 + x^129 + y^5*x^123 + y^20*x^105 + y^19*x^106 + y^3*x^125 + y^2*x^126 + y^7*x^120 + y^12*x^114 + y^17*x^108 + y*x^127 + y^16*x^109 + x^128 + y^10*x^116 + y^15*x^110 + y^19*x^105 + y^8*x^118 + y^13*x^112 + y^18*x^106 + y^12*x^113 + y^17*x^107 + y^16*x^108 + y^5*x^121 + y^10*x^115 + y^15*x^109 + y^20*x^103 + y^4*x^122 + y^14*x^110 + y^19*x^104 + y^3*x^123 + y^8*x^117 + y^17*x^106 + y^6*x^119 + y^11*x^113 + y^16*x^107 + x^126 + y^5*x^120 + y^15*x^108 + y^20*x^102 + y^9*x^115 + y^14*x^109 + y^19*x^103 + y^3*x^122 + y^8*x^116 + y^13*x^110 + y^18*x^104 + y^12*x^111 + y^17*x^105 + y*x^124 + y^6*x^118 + x^125 + y^10*x^113 + y^4*x^120 + y^9*x^114 + y^18*x^103 + y^2*x^122 + y^7*x^116 + y^17*x^104 + y*x^123 + y^11*x^111 + y^16*x^105 + y^5*x^118 + y^15*x^106 + y^20*x^100 + y^4*x^119 + y^19*x^101 + y^8*x^114 + y^18*x^102 + y^2*x^121 + y^7*x^115 + y^6*x^116 + y^11*x^110 + y^5*x^117 + y^10*x^111 + y^20*x^99 + y^9*x^112 + y^14*x^106 + y^19*x^100 + y^7*x^114 + y^12*x^108 + y*x^121 + y^6*x^115 + x^122 + y^5*x^116 + y^10*x^110 + y^4*x^117 + y^9*x^111 + y^13*x^106 + y^18*x^100 + y^7*x^113 + y^12*x^107 + y^17*x^101 + y*x^120 + y^11*x^108 + x^121 + y^10*x^109 + y^20*x^97 + y^4*x^116 + y^14*x^104 + y^19*x^98 + y^3*x^117 + y^8*x^111 + y^7*x^112 + y^17*x^100 + y^16*x^101 + y^10*x^108 + y^15*x^102 + y^9*x^109 + y^3*x^116 + y^8*x^110 + y^13*x^104 + y^2*x^117 + y^7*x^111 + y^17*x^99 + y^16*x^100 + x^119 + y^15*x^101 + y^20*x^95 + y^4*x^114 + y^14*x^102 + y^3*x^115 + y^8*x^109 + y^12*x^104 + y^11*x^105 + x^118 + y^4*x^113 + y^9*x^107 + y^3*x^114 + y^8*x^108 + y^13*x^102 + y^7*x^109 + y*x^116 + y^11*x^104 + x^117 + y^5*x^111 + y^10*x^105 + y^15*x^99 + y^9*x^106 + y^14*x^100 + y^19*x^94 + y^8*x^107 + y^2*x^114 + y^7*x^108 + y^6*x^109 + y^11*x^103 + x^116 + y^20*x^92 + y^4*x^111 + y^9*x^105 + y^14*x^99 + y^8*x^106 + y^7*x^107 + y^5*x^109 + y^15*x^97 + y^9*x^104 + y^14*x^98 + y^8*x^105 + y^13*x^99 + y^7*x^106 + y^17*x^94 + y^6*x^107 + y^5*x^108 + y^10*x^102 + y^15*x^96 + y^9*x^103 + y^14*x^97 + y^13*x^98 + y^18*x^92 + y^2*x^111 + y^7*x^105 + y^12*x^99 + y^6*x^106 + y^11*x^100 + x^113 + y^5*x^107 + y^10*x^101 + y^15*x^95 + y^20*x^89 + y^4*x^108 + y^9*x^102 + y^3*x^109 + y^7*x^104 + y^16*x^93 + x^112 + y^15*x^94 + y^20*x^88 + y^4*x^107 + y^9*x^101 + y^14*x^95 + y^8*x^102 + y^18*x^90 + y^12*x^97 + y^17*x^91 + y^6*x^104 + y^5*x^105 + y^10*x^99 + y^15*x^93 + y^14*x^94 + y^3*x^107 + y^2*x^108 + y^17*x^90 + y*x^109 + y^6*x^103 + x^110 + y^5*x^104 + y^20*x^86 + y^14*x^93 + y^19*x^87 + y^2*x^107 + y^12*x^95 + y^17*x^89 + y^6*x^102 + x^109 + y^10*x^97 + y^15*x^91 + y^20*x^85 + y^14*x^92 + y^19*x^86 + y^18*x^87 + y^7*x^100 + y^12*x^94 + y*x^107 + y^16*x^89 + y^10*x^96 + y^15*x^90 + y^20*x^84 + y^4*x^103 + y^9*x^97 + y^3*x^104 + y^8*x^98 + y^17*x^87 + x^107 + y^5*x^101 + y^4*x^102 + 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y^5*x^198 + y^20*x^180 + y^14*x^187 + y^18*x^182 + y*x^202 + y^11*x^190 + y^16*x^184 + x^203 + y^5*x^197 + y^15*x^185 + y^4*x^198 + y^19*x^180 + y^8*x^193 + y^18*x^181 + y^2*x^200 + y^12*x^188 + y^17*x^182 + y*x^201 + y^6*x^195 + y^11*x^189 + y^16*x^183 + x^202 + y^4*x^197 + y^14*x^185 + y^3*x^198 + y^18*x^180 + y^12*x^187 + y^17*x^181 + y^16*x^182 + x^201 + y^5*x^195 + y^4*x^196 + y^9*x^190 + y^19*x^178 + y^8*x^191 + y^13*x^185 + y^18*x^179 + y^2*x^198 + y^7*x^192 + y^12*x^186 + y^17*x^180 + y^11*x^187 + y^16*x^181 + y^20*x^176 + y^4*x^195 + y^8*x^190 + y^13*x^184 + y^2*x^197 + y*x^198 + y^6*x^192 + y^11*x^186 + y^10*x^187 + y^14*x^182 + y^3*x^195 + y^13*x^183 + y^18*x^177 + y^7*x^190 + y^17*x^178 + y*x^197 + y^11*x^185 + y^10*x^186 + y^15*x^180 + y^19*x^175 + y^8*x^188 + y^7*x^189 + y*x^196 + y^5*x^191 + y^10*x^185 + y^15*x^179 + y^19*x^174 + y^13*x^181 + y^18*x^175 + y^2*x^194 + y^12*x^182 + y*x^195 + y^11*x^183 + y^16*x^177 + x^196 + y^5*x^190 + y^10*x^184 + y^14*x^179 + y^13*x^180 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+ y^19*x^94 + y^8*x^107 + y^13*x^101 + y^2*x^114 + y^17*x^96 + y^6*x^109 + y^10*x^104 + y^15*x^98 + y^20*x^92 + y^4*x^111 + y^14*x^99 + y^3*x^112 + y^18*x^94 + y^12*x^101 + y^17*x^95 + y*x^114 + y^6*x^108 + y^11*x^102 + y^16*x^96 + y^5*x^109 + y^20*x^91 + y^19*x^92 + y^2*x^112 + y^12*x^100 + y^17*x^94 + y^6*x^107 + y^16*x^95 + x^114 + y^5*x^108 + y^10*x^102 + y^4*x^109 + y^8*x^104 + y^2*x^111 + y*x^112 + y^6*x^106 + y^11*x^100 + x^113 + y^10*x^101 + y^13*x^97 + y^7*x^104 + y^12*x^98 + y^16*x^93 + y^5*x^106 + y^10*x^100 + y^20*x^88 + y^14*x^95 + y^19*x^89 + y^3*x^108 + y^8*x^102 + y^17*x^91 + y^6*x^104 + y^11*x^98 + y^10*x^99 + y^4*x^106 + y^9*x^100 + y^3*x^107 + y^8*x^101 + y^13*x^95 + y^18*x^89 + y^12*x^96 + y*x^109 + y^11*x^97 + y^16*x^91 + x^110 + y^10*x^98 + y^20*x^86 + y^4*x^105 + y^9*x^99 + y^14*x^93 + y^3*x^106 + y^18*x^88 + y^6*x^102 + y^11*x^96 + y^16*x^90 + y^5*x^103 + y^10*x^97 + y^15*x^91 + y^9*x^98 + y^14*x^92 + y^19*x^86 + y^2*x^106 + y^7*x^100 + y^12*x^94 + y^17*x^88 + 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y^18*x^79 + y^2*x^98 + y^7*x^92 + y*x^99 + y^11*x^87 + y^16*x^81 + x^100 + y^5*x^94 + y^20*x^76 + y^14*x^83 + y^19*x^77 + y^18*x^78 + y^7*x^91 + y^17*x^79 + y*x^98 + y^11*x^86 + y^16*x^80 + y^10*x^87 + y^15*x^81 + y^9*x^88 + y^19*x^76 + y^3*x^95 + y^8*x^89 + y^2*x^96 + y^7*x^90 + y^12*x^84 + y^6*x^91 + y^16*x^79 + x^98 + y^15*x^80 + y^4*x^93 + y^9*x^87 + y^19*x^75 + y^8*x^88 + y^18*x^76 + y^17*x^77 + y^6*x^90 + y^11*x^84 + y^16*x^78 + y^5*x^91 + y^14*x^80 + y^13*x^81 + y^18*x^75 + y^2*x^94 + y^7*x^88 + y^12*x^82 + y^17*x^76 + y^11*x^83 + y^4*x^91 + y^9*x^85 + y^19*x^73 + y^3*x^92 + y^18*x^74 + y^7*x^87 + y^12*x^81 + y^6*x^88 + y^16*x^76 + x^95 + y^10*x^83 + y^9*x^84 + y^14*x^78 + y^3*x^91 + y^17*x^74 + y*x^93 + y^11*x^81 + x^94 + y^10*x^82 + y^20*x^70 + y^3*x^90 + y^13*x^78 + y^18*x^72 + y^2*x^91 + y^12*x^79 + y*x^92 + x^93 + y^10*x^81 + y^9*x^82 + y^14*x^76 + y^3*x^89 + y^8*x^83 + y^12*x^78 + y^17*x^72 + y*x^91 + y^6*x^85 + y^16*x^73 + y^5*x^86 + y^15*x^74 + y^20*x^68 + y^4*x^87 + 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y^14*x^48 + y^8*x^55 + y^13*x^49 + y^2*x^62 + y^12*x^50 + y^17*x^44 + y*x^63 + y^6*x^57 + y^11*x^51 + y^16*x^45 + x^64 + y^14*x^47 + y^19*x^41 + y^13*x^48 + y^18*x^42 + y^7*x^55 + y^12*x^49 + y*x^62 + x^63 + y^5*x^57 + y^20*x^39 + y^4*x^58 + y^19*x^40 + y^3*x^59 + y^18*x^41 + y^2*x^60 + y^12*x^48 + y^17*x^42 + y^6*x^55 + y^16*x^43 + x^62 + y^5*x^56 + y^10*x^50 + y^15*x^44 + y^20*x^38 + y^9*x^51 + y^19*x^39 + y^8*x^52 + y^18*x^40 + y^2*x^59 + y^7*x^53 + y^12*x^47 + y^17*x^41 + y*x^60 + x^61 + y^5*x^55 + y^20*x^37 + y^14*x^44 + y^19*x^38 + y^3*x^57 + y^8*x^51 + y^13*x^45 + y^18*x^39 + y^2*x^58 + y^17*x^40 + y^11*x^47 + y^10*x^48 + y^15*x^42 + y^14*x^43 + y^3*x^56 + y^8*x^50 + y^7*x^51 + y^12*x^45 + y^17*x^39 + y*x^58 + x^59 + y^10*x^47 + y^9*x^48 + y^14*x^42 + y^8*x^49 + y*x^57 + y^6*x^51 + y^15*x^40 + y^20*x^34 + y^4*x^53 + y^9*x^47 + y^14*x^41 + y^19*x^35 + y^3*x^54 + y^8*x^48 + y^18*x^36 + y^2*x^55 + y^7*x^49 + y^12*x^43 + y*x^56 + y^6*x^50 + y^11*x^44 + y^16*x^38 + y^10*x^45 + y^15*x^39 + y^4*x^52 + y^9*x^46 + y^14*x^40 + y*x^55 + y^6*x^49 + y^11*x^43 + y^16*x^37 + x^56 + y^10*x^44 + y^15*x^38 + y^20*x^32 + y^14*x^39 + y^19*x^33 + y^8*x^46 + y^17*x^35 + y^11*x^42 + x^55 + y^5*x^49 + y^4*x^50 + y^9*x^44 + y^19*x^32 + y^18*x^33 + y^2*x^52 + y^12*x^40 + y^6*x^47 + y^11*x^41 + y^16*x^35 + y^5*x^48 + y^20*x^30 + y^4*x^49 + y^9*x^43 + y^19*x^31 + y^12*x^39 + y*x^52 + y^6*x^46 + y^11*x^40 + y^10*x^41 + y^20*x^29 + y^9*x^42 + y^14*x^36 + y^19*x^30 + y^8*x^43 + y^12*x^38 + y^17*x^32 + y^6*x^45 + x^52 + y^5*x^46 + y^15*x^34 + y^20*x^28 + y^4*x^47 + y^9*x^41 + y^14*x^35 + y^3*x^48 + y^8*x^42 + y^18*x^30 + y^6*x^44 + y^11*x^38 + x^51 + y^10*x^39 + y^15*x^33 + y^20*x^27 + y^4*x^46 + y^9*x^40 + y^19*x^28 + y^3*x^47 + y^18*x^29 + y^12*x^36 + y^17*x^30 + y*x^49 + y^16*x^31 + x^50 + y^5*x^44 + y^14*x^33 + y^3*x^46 + y^18*x^28 + y^7*x^41 + y^12*x^35 + y*x^48 + y^6*x^42 + y^16*x^30 + y^10*x^37 + y^15*x^31 + y^4*x^44 + y^2*x^46 + y^7*x^40 + y^12*x^34 + y^17*x^28 + y^6*x^41 + y^11*x^35 + x^48 + y^15*x^30 + y^20*x^24 + y^8*x^38 + y^13*x^32 + y^18*x^26 + y^2*x^45 + y^17*x^27 + y^11*x^34 + y^16*x^28 + y^15*x^29 + y^20*x^23 + y^4*x^42 + y^9*x^36 + y^14*x^30 + y^19*x^24 + y^3*x^43 + y^18*x^25 + y^17*x^26 + y^5*x^40 + y^14*x^29 + y^3*x^42 + y^2*x^43 + y^17*x^25 + y*x^44 + y^6*x^38 + y^11*x^32 + x^45 + y^10*x^33 + y^20*x^21 + y^4*x^40 + y^14*x^28 + y^19*x^22 + y^8*x^35 + y^13*x^29 + y^18*x^23 + y^2*x^42 + y^12*x^30 + y^17*x^24 + y^6*x^37 + y^16*x^25 + x^44 + y^15*x^26 + y^20*x^20 + y^4*x^39 + y^19*x^21 + y^8*x^34 + y^2*x^41 + y^7*x^35 + y^12*x^29 + y*x^42 + y^11*x^30 + x^43 + y^5*x^37 + y^3*x^39 + y^13*x^27 + y^18*x^21 + y^2*x^40 + y^7*x^34 + y^12*x^28 + y^11*x^29 + y^15*x^24 + y^4*x^37 + y^9*x^31 + y^8*x^32 + y^13*x^26 + y^18*x^20 + y^2*x^39 + y^12*x^27 + y^16*x^22 + x^41 + y^10*x^29 + y^15*x^23 + y^20*x^17 + y^4*x^36 + y^8*x^31 + y^18*x^19 + y^12*x^26 + y^17*x^20 + x^40 + y^5*x^34 + y^20*x^16 + y^4*x^35 + y^9*x^29 + y^19*x^17 + y^3*x^36 + y^13*x^24 + y^7*x^31 + y^12*x^25 + y^6*x^32 + y^16*x^20 + x^39 + y^10*x^27 + y^15*x^21 + y^20*x^15 + y^14*x^22 + y^19*x^16 + y^3*x^35 + y^13*x^23 + y^18*x^17 + y^2*x^36 + y^7*x^30 + y^12*x^24 + y^17*x^18 + y*x^37 + y^6*x^31 + y^11*x^25 + y^16*x^19 + x^38 + y^5*x^32 + y^15*x^20 + y^14*x^21 + y^19*x^15 + y^8*x^28 + y^18*x^16 + y^17*x^17 + y*x^36 + y^6*x^30 + y^11*x^24 + x^37 + y^10*x^25 + y^4*x^32 + y^19*x^14 + y^8*x^27 + y^13*x^21 + y^2*x^34 + y^7*x^28 + y^12*x^22 + y*x^35 + y^6*x^29 + y^16*x^17 + x^36 + y^20*x^12 + y^14*x^19 + y^3*x^32 + y^13*x^20 + y^18*x^14 + y^2*x^33 + y^17*x^15 + y*x^34 + y^6*x^28 + y^11*x^22 + y^4*x^30 + y^9*x^24 + y^14*x^18 + y^19*x^12 + y^3*x^31 + y^7*x^26 + y^12*x^20 + y^17*x^14 + y*x^33 + y^6*x^27 + y^11*x^21 + y^16*x^15 + x^34 + y^10*x^22 + y^20*x^10 + y^4*x^29 + y^9*x^23 + y^14*x^17 + y^3*x^30 + y^6*x^26 + y^16*x^14 + y^5*x^27 + y^9*x^22 + y^13*x^17 + y^2*x^30 + y^17*x^12 + y*x^31 + y^6*x^25 + y^11*x^19 + x^32 + y^5*x^26 + y^10*x^20 + y^4*x^27 + y^9*x^21 + y^14*x^15 + y^3*x^28 + y^13*x^16 + y^2*x^29 + y^7*x^23 + y^12*x^17 + y^17*x^11 + y*x^30 + y^6*x^24 + y^11*x^18 + y^16*x^12 + x^31 + y^5*x^25 + y^10*x^19 + y^20*x^7 + y^9*x^20 + y^19*x^8 + y^8*x^21 + y^13*x^15 + y^18*x^9 + y^2*x^28 + y*x^29 + x^30 + y^10*x^18 + y^20*x^6 + y^4*x^25 + y^14*x^13 + y^19*x^7 + y^3*x^26 + y^18*x^8 + y^2*x^27 + y^7*x^21 + y^12*x^15 + y^17*x^9 + y^11*x^16 + y^16*x^10 + y^5*x^23 + y^10*x^17 + y^15*x^11 + y^14*x^12 + y^3*x^25 + y^18*x^7 + y^2*x^26 + y^7*x^20 + y*x^27 + x^28 + y^10*x^16 + y^15*x^10 + y^20*x^4 + y^4*x^23 + y^19*x^5 + y^8*x^18 + y^2*x^25 + y^7*x^19 + y^17*x^7 + y*x^26 + y^6*x^20 + y^11*x^14 + y^5*x^21 + y^10*x^15 + y^20*x^3 + y^4*x^22 + y^14*x^10 + y^19*x^4 + y^3*x^23 + y^2*x^24 + y^6*x^19 + y^11*x^13 + y^15*x^8 + y^20*x^2 + y^19*x^3 + y^3*x^22 + y^8*x^16 + y^13*x^10 + y^18*x^4 + y^2*x^23 + y^7*x^17 + y^12*x^11 + y^17*x^5 + y*x^24 + y^5*x^19 + y^15*x^7 + y^20*x + y^4*x^20 + y^9*x^14 + y^14*x^8 + y^19*x^2 + y^3*x^21 + y^8*x^15 + y^13*x^9 + y^18*x^3 + y^2*x^22 + y^12*x^10 + y*x^23 + y^6*x^17 + y^16*x^5 + y^10*x^12 + y^15*x^6 + y^4*x^19 + y^9*x^13 + y^14*x^7 + y^19*x + y^3*x^20 + y^8*x^14 + y^18*x^2 + y^7*x^15 + y^17*x^3 + y*x^22 + y^6*x^16 + y^16*x^4 + y^10*x^11 + y^15*x^5 + y^4*x^18 + y^8*x^13 + y^2*x^20 + y^6*x^15 + y^5*x^16 + y^10*x^10 + y^15*x^4 + y^3*x^18 + y^8*x^12 + y^13*x^6 + y^2*x^19 + y^12*x^7 + y^17*x + y*x^20 + x^21 + y^5*x^15 + y^4*x^16 + y^14*x^4 + y^8*x^11 + x^20 + y^5*x^14 + y^15*x^2 + y^4*x^15 + y^9*x^9 + y^14*x^3 + y^3*x^16 + y^8*x^10 + y^2*x^17 + y*x^18 + y^6*x^12 + y^10*x^7 + y^15*x + y^9*x^8 + y^14*x^2 + y^8*x^9 + y^13*x^3 + y^2*x^16 + y^7*x^10 + y^12*x^4 + y*x^17 + y^11*x^5 + y^5*x^12 + y^9*x^7 + y^14*x + y^13*x^2 + y^2*x^15 + y^7*x^9 + y^12*x^3 + y*x^16 + y^11*x^4 + x^17 + y^10*x^5 + y^4*x^12 + y^9*x^6 + y^8*x^7 + y^13*x + y^12*x^2 + y^11*x^3 + x^16 + y^5*x^10 + y^10*x^4 + y^4*x^11 + y^2*x^13 + y^12*x + y^11*x^2 + x^15 + y^4*x^10 + y^3*x^11 + y^8*x^5 + y^2*x^12 + y*x^13 + x^14 + y^9*x^3 + y^6*x^6 + x^13 + y^10*x + y^4*x^8 + y^3*x^9 + y^8*x^3 + y^7*x^4 + y^5*x^6 + y^4*x^7 + y^9*x + y^3*x^8 + y^2*x^9 + x^11 + y^7*x^2 + y*x^9 + y^6*x^3 + y^4*x^5 + y^2*x^7 + y^7*x + y*x^8 + x^8 + y^2*x^5 + y*x^6 + y^4*x^2 + y^4*x + x^5 + y^2*x^2 + y*x^3 + y^2*x + y*x^2 21 y^18*x^189 + y^6*x^203 + y^5*x^204 + y^20*x^186 + y^9*x^199 + y^14*x^193 + y^19*x^187 + y^3*x^206 + y^2*x^207 + y^12*x^195 + y^17*x^189 + y^5*x^203 + y^10*x^197 + y^15*x^191 + y^4*x^204 + y^9*x^198 + y^14*x^192 + y^19*x^186 + y^3*x^205 + y^2*x^206 + y^7*x^200 + y^17*x^188 + y^6*x^201 + y^11*x^195 + y^16*x^189 + y^10*x^196 + y^15*x^190 + y^20*x^184 + y^4*x^203 + y^9*x^197 + y^8*x^198 + y^18*x^186 + y^2*x^205 + y^17*x^187 + y*x^206 + y^6*x^200 + y^11*x^194 + y^16*x^188 + x^207 + y^5*x^201 + y^10*x^195 + y^4*x^202 + y^9*x^196 + y^14*x^190 + y^19*x^184 + y^13*x^191 + y^7*x^198 + y^12*x^192 + y*x^205 + y^6*x^199 + y^16*x^187 + y^5*x^200 + y^10*x^194 + y^9*x^195 + y^14*x^189 + y^19*x^183 + y^2*x^203 + y^17*x^185 + y*x^204 + y^6*x^198 + y^11*x^192 + y^16*x^186 + y^20*x^181 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y^7*x^99 + y*x^106 + y^6*x^100 + y^11*x^94 + y^16*x^88 + x^107 + y^5*x^101 + y^10*x^95 + y^15*x^89 + y^20*x^83 + y^4*x^102 + y^9*x^96 + y^14*x^90 + y^19*x^84 + y^13*x^91 + y^6*x^99 + y^16*x^87 + x^106 + y^5*x^100 + y^10*x^94 + y^4*x^101 + y^14*x^89 + y^3*x^102 + y^18*x^84 + y^2*x^103 + y*x^104 + y^11*x^92 + y^16*x^86 + y^5*x^99 + y^10*x^93 + y^9*x^94 + y^19*x^82 + y^8*x^95 + y^13*x^89 + y^18*x^83 + y^2*x^102 + y^7*x^96 + y^12*x^90 + y^17*x^84 + y*x^103 + y^16*x^85 + x^104 + y^5*x^98 + y^20*x^80 + y^4*x^99 + y^9*x^93 + y^14*x^87 + y^8*x^94 + y^13*x^88 + y^12*x^89 + y^11*x^90 + y^16*x^84 + x^103 + y^10*x^91 + y^20*x^79 + y^9*x^92 + y^14*x^86 + y^19*x^80 + y^3*x^99 + y^8*x^93 + y^17*x^82 + y^6*x^95 + y^11*x^89 + y^16*x^83 + x^102 + y^10*x^90 + y^15*x^84 + y^13*x^86 + y^2*x^99 + y*x^100 + y^6*x^94 + y^11*x^88 + x^101 + y^10*x^89 + y^15*x^83 + y^20*x^77 + y^4*x^96 + y^19*x^78 + y^8*x^91 + y^2*x^98 + y^12*x^86 + y^17*x^80 + y^6*x^93 + y^11*x^87 + x^100 + y^15*x^82 + y^20*x^76 + y^14*x^83 + y^19*x^77 + y^3*x^96 + y^7*x^91 + y^17*x^79 + y*x^98 + y^6*x^92 + y^11*x^86 + x^99 + y^5*x^93 + y^10*x^87 + y^15*x^81 + y^20*x^75 + y^4*x^94 + y^9*x^88 + y^19*x^76 + y^8*x^89 + y^13*x^83 + y^7*x^90 + y^12*x^84 + y^6*x^91 + y^5*x^92 + y^15*x^80 + y^4*x^93 + y^14*x^81 + y^19*x^75 + y^3*x^94 + y^8*x^88 + y^13*x^82 + y^2*x^95 + y*x^96 + x^97 + y^4*x^92 + y^9*x^86 + y^8*x^87 + y^13*x^81 + y^18*x^75 + y^2*x^94 + y*x^95 + y^6*x^89 + x^96 + y^5*x^90 + y^10*x^84 + y^15*x^78 + y^4*x^91 + y^9*x^85 + y^14*x^79 + y^19*x^73 + y^13*x^80 + y^12*x^81 + y^17*x^75 + y*x^94 + y^15*x^77 + y^20*x^71 + y^4*x^90 + y^3*x^91 + y^13*x^79 + y^2*x^92 + y^12*x^80 + y^6*x^87 + y^11*x^81 + y^16*x^75 + x^94 + y^20*x^70 + y^19*x^71 + y^13*x^78 + y^7*x^85 + y^12*x^79 + y^17*x^73 + y*x^92 + y^5*x^87 + y^14*x^76 + y^2*x^90 + y^17*x^72 + y^11*x^79 + y^16*x^73 + y^5*x^86 + y^10*x^80 + y^15*x^74 + y^20*x^68 + y^14*x^75 + y^19*x^69 + y^12*x^77 + y*x^90 + y^11*x^78 + x^91 + y^4*x^86 + y^9*x^80 + y^19*x^68 + y^8*x^81 + y^13*x^75 + y^18*x^69 + y^2*x^88 + y^7*x^82 + y*x^89 + y^6*x^83 + y^11*x^77 + y^10*x^78 + y^15*x^72 + y^20*x^66 + y^8*x^80 + y^18*x^68 + y^2*x^87 + y^12*x^75 + y^17*x^69 + y*x^88 + y^11*x^76 + x^89 + y^10*x^77 + y^15*x^71 + y^20*x^65 + y^14*x^72 + y^19*x^66 + y^3*x^85 + y^18*x^67 + y^2*x^86 + y^7*x^80 + y*x^87 + x^88 + y^10*x^76 + y^20*x^64 + y^4*x^83 + y^9*x^77 + y^14*x^71 + y^3*x^84 + y^8*x^78 + y^13*x^72 + y^18*x^66 + y^2*x^85 + y^6*x^80 + y^11*x^74 + y^5*x^81 + y^20*x^63 + y^4*x^82 + y^14*x^70 + y^8*x^77 + y^13*x^71 + y^18*x^65 + y^7*x^78 + y^12*x^72 + y^17*x^66 + y*x^85 + y^11*x^73 + y^16*x^67 + y^5*x^80 + y^10*x^74 + y^15*x^68 + y^4*x^81 + y^9*x^75 + y^14*x^69 + y^19*x^63 + y^18*x^64 + y^7*x^77 + y^12*x^71 + y^17*x^65 + y*x^84 + y^6*x^78 + y^11*x^72 + y^16*x^66 + y^5*x^79 + y^15*x^67 + y^4*x^80 + y^9*x^74 + y^3*x^81 + y^8*x^75 + y^12*x^70 + y^6*x^77 + y^16*x^65 + y^4*x^79 + y^19*x^61 + y^3*x^80 + y^8*x^74 + y^13*x^68 + y^17*x^63 + y*x^82 + y^6*x^76 + y^11*x^70 + y^16*x^64 + x^83 + y^5*x^77 + y^10*x^71 + y^4*x^78 + y^14*x^66 + y^19*x^60 + y^3*x^79 + y^8*x^73 + y^18*x^61 + y^7*x^74 + y^12*x^68 + y^17*x^62 + y^16*x^63 + x^82 + y^5*x^76 + y^15*x^64 + y^20*x^58 + y^4*x^77 + y^14*x^65 + y^3*x^78 + y^13*x^66 + y^18*x^60 + y^7*x^73 + y^17*x^61 + y^11*x^68 + y^16*x^62 + x^81 + y^5*x^75 + y^4*x^76 + y^9*x^70 + y^13*x^65 + y^18*x^59 + y^2*x^78 + y^12*x^66 + y^17*x^60 + y^6*x^73 + y^11*x^67 + y^16*x^61 + x^80 + y^5*x^74 + y^10*x^68 + y^4*x^75 + y^14*x^63 + y^3*x^76 + y^18*x^58 + y^2*x^77 + y^7*x^71 + y^12*x^65 + y^17*x^59 + y*x^78 + y^6*x^72 + y^11*x^66 + y^16*x^60 + y^5*x^73 + y^4*x^74 + y^14*x^62 + y^13*x^63 + y^2*x^76 + y^17*x^58 + y*x^77 + y^11*x^65 + x^78 + y^5*x^72 + y^10*x^66 + y^20*x^54 + y^4*x^73 + y^14*x^61 + y^8*x^68 + y^13*x^62 + y^7*x^69 + y^12*x^63 + y^6*x^70 + y^11*x^64 + y^16*x^58 + y^10*x^65 + y^14*x^60 + y^8*x^67 + y^18*x^55 + y^7*x^68 + y^12*x^62 + y*x^75 + x^76 + y^20*x^52 + y^4*x^71 + y^9*x^65 + y^19*x^53 + y^8*x^66 + y^7*x^67 + y^12*x^61 + y^11*x^62 + y^16*x^56 + y^5*x^69 + y^4*x^70 + y^9*x^64 + y^14*x^58 + y^3*x^71 + y^8*x^65 + y^18*x^53 + y^2*x^72 + y^12*x^60 + y^17*x^54 + y^6*x^67 + y^16*x^55 + x^74 + y^20*x^50 + y^4*x^69 + y^14*x^57 + y^19*x^51 + y^3*x^70 + y^8*x^64 + y^18*x^52 + y^2*x^71 + y^17*x^53 + y*x^72 + y^16*x^54 + y^10*x^61 + y^20*x^49 + y^19*x^50 + y^3*x^69 + y^13*x^57 + y^2*x^70 + y^12*x^58 + y^6*x^65 + y^16*x^53 + x^72 + y^10*x^60 + y^20*x^48 + y^9*x^61 + y^14*x^55 + y^8*x^62 + y^18*x^50 + y^2*x^69 + y^6*x^64 + y^11*x^58 + x^71 + y^5*x^65 + y^10*x^59 + y^15*x^53 + y^4*x^66 + y^9*x^60 + y^19*x^48 + y^3*x^67 + y^13*x^55 + y^18*x^49 + y^2*x^68 + y^17*x^50 + y*x^69 + y^6*x^63 + y^16*x^51 + x^70 + y^10*x^58 + y^20*x^46 + y^4*x^65 + y^18*x^48 + y^2*x^67 + y^7*x^61 + y^17*x^49 + y*x^68 + y^16*x^50 + y^10*x^57 + y^20*x^45 + y^9*x^58 + y^8*x^59 + y^13*x^53 + y^18*x^47 + y^2*x^66 + y^12*x^54 + y^17*x^48 + y*x^67 + y^6*x^61 + y^11*x^55 + x^68 + y^5*x^62 + y^10*x^56 + y^15*x^50 + y^20*x^44 + y^4*x^63 + y^9*x^57 + y^14*x^51 + 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y^19*x^37 + y^13*x^44 + y^18*x^38 + y^2*x^57 + y^17*x^39 + y*x^58 + y^6*x^52 + y^5*x^53 + y^9*x^48 + y^14*x^42 + y^19*x^36 + y^3*x^55 + y^8*x^49 + y^13*x^43 + y^2*x^56 + y*x^57 + y^6*x^51 + y^11*x^45 + y^5*x^52 + y^15*x^40 + y^20*x^34 + y^4*x^53 + y^14*x^41 + y^19*x^35 + y^18*x^36 + y^2*x^55 + y^7*x^49 + y^17*x^37 + y*x^56 + y^6*x^50 + y^11*x^44 + y^16*x^38 + y^10*x^45 + y^15*x^39 + y^20*x^33 + y^19*x^34 + y^3*x^53 + y^8*x^47 + y^13*x^41 + y^18*x^35 + y^2*x^54 + y^12*x^42 + y*x^55 + y^11*x^43 + x^56 + y^5*x^50 + y^10*x^44 + y^20*x^32 + y^4*x^51 + y^3*x^52 + y^13*x^40 + y^7*x^47 + y*x^54 + y^6*x^48 + y^11*x^42 + x^55 + y^5*x^49 + y^15*x^37 + y^4*x^50 + y^3*x^51 + y^8*x^45 + y^18*x^33 + y^12*x^40 + y^17*x^34 + y*x^53 + y^16*x^35 + y^5*x^48 + y^10*x^42 + y^15*x^36 + y^20*x^30 + y^14*x^37 + y^8*x^44 + y^13*x^38 + y^18*x^32 + y^12*x^39 + y*x^52 + y^20*x^29 + y^19*x^30 + y^2*x^50 + y^7*x^44 + y^12*x^38 + y^17*x^32 + y^6*x^45 + y^11*x^39 + y^15*x^34 + y^9*x^41 + y^14*x^35 + y^3*x^48 + y^12*x^37 + y^17*x^31 + y*x^50 + y^6*x^44 + y^16*x^32 + y^15*x^33 + y^20*x^27 + y^4*x^46 + y^9*x^40 + y^8*x^41 + y^13*x^35 + y^17*x^30 + y^6*x^43 + y^5*x^44 + y^4*x^45 + y^9*x^39 + y^14*x^33 + y^19*x^27 + y^3*x^46 + y^8*x^40 + y^2*x^47 + y^10*x^37 + y^4*x^44 + y^9*x^38 + y^19*x^26 + y^3*x^45 + y^8*x^39 + y^13*x^33 + y^18*x^27 + y^7*x^40 + y^6*x^41 + y^11*x^35 + y^16*x^29 + x^48 + y^10*x^36 + y^20*x^24 + y^3*x^44 + y^8*x^38 + y^18*x^26 + y^7*x^39 + y^17*x^27 + y^11*x^34 + x^47 + y^10*x^35 + y^15*x^29 + y^20*x^23 + y^9*x^36 + y^19*x^24 + y^3*x^43 + y^8*x^37 + y^13*x^31 + y^7*x^38 + y^12*x^32 + x^46 + y^5*x^40 + y^9*x^35 + y^3*x^42 + y^8*x^36 + y^13*x^30 + y^18*x^24 + y^7*x^37 + y^12*x^31 + y*x^44 + y^6*x^38 + y^16*x^26 + x^45 + y^5*x^39 + y^10*x^33 + y^15*x^27 + y^14*x^28 + y^18*x^23 + y^12*x^30 + y^6*x^37 + y^16*x^25 + x^44 + y^5*x^38 + y^10*x^32 + y^9*x^33 + y^14*x^27 + y^19*x^21 + y^8*x^34 + y^13*x^28 + y^18*x^22 + y^2*x^41 + y^6*x^36 + y^16*x^24 + x^43 + y^4*x^38 + y^19*x^20 + y^3*x^39 + y^7*x^34 + y^12*x^28 + y^17*x^22 + y*x^41 + y^11*x^29 + y^16*x^23 + x^42 + y^20*x^18 + y^4*x^37 + y^9*x^31 + y^14*x^25 + y^3*x^38 + y^8*x^32 + y^13*x^26 + y^18*x^20 + y^17*x^21 + y^11*x^28 + x^41 + y^5*x^35 + y^15*x^23 + y^14*x^24 + y^19*x^18 + y^2*x^38 + y^7*x^32 + y^17*x^20 + y^10*x^28 + y^20*x^16 + y^4*x^35 + y^9*x^29 + y^14*x^23 + y^3*x^36 + y^13*x^24 + y^2*x^37 + y^12*x^25 + y^6*x^32 + y^10*x^27 + y^4*x^34 + y^14*x^22 + y^19*x^16 + y^13*x^23 + y^18*x^17 + y^2*x^36 + y^12*x^24 + y^17*x^18 + y*x^37 + y^6*x^31 + y^11*x^25 + y^16*x^19 + x^38 + y^10*x^26 + y^15*x^20 + y^20*x^14 + y^4*x^33 + y^9*x^27 + y^3*x^34 + y^13*x^22 + y^2*x^35 + y^7*x^29 + y^12*x^23 + y^17*x^17 + y^6*x^30 + y^11*x^24 + y^16*x^18 + x^37 + y^20*x^13 + y^4*x^32 + y^9*x^26 + y^13*x^21 + y^18*x^15 + y^12*x^22 + y^11*x^23 + y^16*x^17 + y^15*x^18 + y^20*x^12 + y^4*x^31 + y^14*x^19 + y^19*x^13 + y^3*x^32 + y^18*x^14 + y^2*x^33 + y^12*x^21 + y^6*x^28 + y^16*x^16 + y^10*x^23 + y^15*x^17 + y^20*x^11 + y^14*x^18 + y^19*x^12 + y^8*x^25 + y^13*x^19 + y^7*x^26 + y^12*x^20 + y^17*x^14 + y^6*x^27 + y^5*x^28 + y^10*x^22 + y^19*x^11 + y^3*x^30 + y^8*x^24 + y^13*x^18 + y^18*x^12 + y^2*x^31 + y^12*x^19 + y^17*x^13 + y^6*x^26 + y^5*x^27 + y^10*x^21 + y^20*x^9 + y^4*x^28 + y^9*x^22 + y^3*x^29 + y^18*x^11 + y^7*x^24 + y^12*x^18 + y*x^31 + x^32 + y^10*x^20 + y^15*x^14 + y^4*x^27 + y^9*x^21 + y^14*x^15 + y^3*x^28 + y^17*x^11 + y^11*x^18 + y^16*x^12 + x^31 + y^5*x^25 + y^20*x^7 + y^4*x^26 + y^9*x^20 + y^3*x^27 + y^13*x^15 + y^18*x^9 + y^7*x^22 + y^12*x^16 + y^11*x^17 + x^30 + y^20*x^6 + y^4*x^25 + y^9*x^19 + y^8*x^20 + y^2*x^27 + y*x^28 + y^6*x^22 + y^16*x^10 + y^5*x^23 + y^9*x^18 + y^3*x^25 + y^13*x^13 + y^7*x^20 + y^12*x^14 + y^11*x^15 + y^16*x^9 + y^10*x^16 + y^15*x^10 + y^20*x^4 + y^4*x^23 + y^9*x^17 + y^3*x^24 + y^8*x^18 + y^13*x^12 + y^18*x^6 + y^2*x^25 + y^7*x^19 + y^12*x^13 + y^17*x^7 + y^11*x^14 + x^27 + y^5*x^21 + y^4*x^22 + y^9*x^16 + y^14*x^10 + y^19*x^4 + y^13*x^11 + y^2*x^24 + y^12*x^12 + y*x^25 + y^6*x^19 + x^26 + y^15*x^8 + y^20*x^2 + y^4*x^21 + y^9*x^15 + y^3*x^22 + y^18*x^4 + y^2*x^23 + y^7*x^17 + x^25 + y^10*x^13 + y^15*x^7 + y^4*x^20 + y^9*x^14 + y^13*x^9 + y^18*x^3 + y^2*x^22 + y^7*x^16 + y^12*x^10 + y*x^23 + y^6*x^17 + y^16*x^5 + y^15*x^6 + y^20 + y^4*x^19 + y^19*x + y^8*x^14 + y^13*x^8 + y^18*x^2 + y^2*x^21 + y^12*x^9 + y^11*x^10 + y^5*x^17 + y^15*x^5 + y^4*x^18 + y^9*x^12 + y^3*x^19 + y^2*x^20 + y^7*x^14 + y^16*x^3 + y^5*x^16 + y^10*x^10 + y^15*x^4 + y^14*x^5 + y^3*x^18 + y^13*x^6 + y^12*x^7 + y^17*x + y*x^20 + y^5*x^15 + y^15*x^3 + y^9*x^10 + y^3*x^17 + y^13*x^5 + y^2*x^18 + y^12*x^6 + y^17 + y^5*x^14 + y^4*x^15 + y^3*x^16 + y^13*x^4 + y^7*x^11 + y^12*x^5 + y*x^18 + y^11*x^6 + y^16 + x^19 + y^5*x^13 + y^15*x + y^4*x^14 + y^8*x^9 + y^13*x^3 + y^7*x^10 + y*x^17 + x^18 + y^5*x^12 + y^10*x^6 + y^4*x^13 + y^9*x^7 + y^14*x + y^3*x^14 + y^8*x^8 + y^13*x^2 + y^2*x^15 + y*x^16 + y^6*x^10 + y^11*x^4 + x^17 + y^10*x^5 + y^9*x^6 + y^14 + y^3*x^13 + y^8*x^7 + y^7*x^8 + y^12*x^2 + y*x^15 + y^6*x^9 + y^11*x^3 + y^5*x^10 + y^4*x^11 + y^9*x^5 + y^7*x^7 + y*x^14 + y^11*x^2 + y^5*x^9 + y^8*x^5 + y^2*x^12 + y^12 + y^6*x^7 + y^5*x^8 + y^3*x^10 + y^8*x^4 + y^2*x^11 + y^6*x^6 + y^11 + x^13 + y^5*x^7 + y^9*x^2 + y^3*x^9 + y*x^11 + x^12 + y^9*x + y^5*x^5 + y^4*x^6 + y^9 + y^3*x^7 + y^7*x^2 + y*x^9 + y^6*x^3 + y^5*x^4 + y^4*x^5 + y^8 + y^7*x + y*x^8 + y^4*x^4 + y^2*x^6 + y*x^7 + y^6*x + y^3*x^4 + y^2*x^5 + y*x^6 + x^7 + y^5*x + y^3*x^3 + y^4*x + y^3*x^2 + y^2*x^3 + y^4 + y^2*x^2 + x^4 + y^3 + y^2*x //weight matrix of this basis///////////////////////////////////////////////////////////////// WT_MATRIX_T= [ [ 30, 29, 27, 26, 25, 24, 23, 22, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 7, 21 ] ] //weight matrix reordered///////////////////////////////////////////////////////////////////////// WT_MATRIX_U= [ [ 30, 29, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 7 ] ] //weight matrix for the minimization, and ideal basis/////////////////////////////////////////////////////////////////////// WT_MATRIX_V= [ [ 16, 15, 13, 12, 11, 10, 7 ] ] [ $.1^2 + $.5*$.7^3 + $.6*$.7^3 + $.1*$.7^2 + $.2*$.7^2 + $.4*$.7^2 + $.7^3 + $.5*$.7 + $.6*$.7 + $.1 + $.7^2, $.1*$.2 + $.6*$.7^3 + $.2*$.7^2 + $.7^4 + $.6*$.7^2 + $.1*$.7 + $.2*$.7 + $.7^3 + $.3*$.7 + $.6*$.7 + $.1 + $.2 + $.7^2 + $.4 + $.6 + $.7 + 1, $.2^2 + $.1*$.7^2 + $.7^4 + $.1*$.7 + $.2*$.7 + $.4 + $.6 + $.7 + 1, $.1*$.3 + $.2*$.7^2 + $.3*$.7^2 + $.5*$.7 + $.1 + $.2 + $.7^2 + $.4 + $.6 + 1, $.2*$.3 + $.7^4 + $.7^3 + $.3*$.7 + $.4*$.7 + $.2 + $.7^2 + $.3 + 1, $.1*$.4 + $.7^4 + $.6*$.7^2 + $.1*$.7 + $.2*$.7 + $.7^3 + $.3*$.7 + $.1 + $.7^2 + $.6 + 1, $.2*$.4 + $.3*$.7^2 + $.5*$.7^2 + $.7^3 + $.4*$.7 + $.6*$.7 + $.2 + $.6 + 1, $.1*$.5 + $.3*$.7^2 + $.5*$.7^2 + $.1*$.7 + $.7^3 + $.7^2, $.3^2 + $.4*$.7^2 + $.6*$.7^2 + $.1*$.7 + $.2*$.7 + $.7^3 + $.4*$.7 + $.5*$.7 + $.2 + $.3 + $.4 + $.6 + $.7 + 1, $.2*$.5 + $.4*$.7^2 + $.6*$.7^2 + $.1*$.7 + $.7^3 + $.4*$.7 + $.5*$.7 + $.7^2 + $.4 + $.5 + $.6 + $.7, $.1*$.6 + $.4*$.7^2 + $.5*$.7^2 + $.7^3 + $.3*$.7 + $.4*$.7 + $.1 + $.6 + 1, $.3*$.4 + $.5*$.7^2 + $.1*$.7 + $.2*$.7 + $.7^3 + $.3*$.7 + $.3 + $.4 + 1, $.2*$.6 + $.5*$.7^2 + $.6*$.7^2 + $.1*$.7 + $.7^3 + $.4*$.7 + $.2 + $.6 + $.7 + 1, $.4^2 + $.6*$.7^2 + $.1*$.7 + $.2*$.7 + $.7^3 + $.3*$.7 + $.4*$.7 + $.2 + $.7^2 + $.7, $.3*$.5 + $.6*$.7^2 + $.1*$.7 + $.2*$.7 + $.7^3 + $.3*$.7 + $.5*$.7 + $.6*$.7 + $.7^2 + $.4 + $.6, $.4*$.5 + $.1*$.7 + $.2*$.7 + $.7^3 + $.5*$.7 + $.7^2 + $.4 + $.5 + $.6 + $.7, $.3*$.6 + $.1*$.7 + $.7^3 + $.3*$.7 + $.3 + $.6 + $.7 + 1, $.5^2 + $.2*$.7 + $.7^3 + $.3*$.7 + $.4*$.7 + $.6*$.7 + $.7^2 + $.5 + $.7, $.4*$.6 + $.2*$.7 + $.3*$.7 + $.4*$.7 + $.2 + $.7, $.5*$.6 + $.7^3 + $.5*$.7 + $.6*$.7 + $.7^2 + $.5 + $.7, $.6^2 + $.3*$.7 + $.4*$.7 + $.6*$.7 + $.2 + $.4 + $.6 + $.7 ] WT_MATRIX_W= [ [ 16, 15, 13, 12, 11, 10, 7 ] ] WT_MATRIX_X= [ [ 16, 15, 13, 12, 11, 10, 7 ] ] //generators for the ideal of induced relations on the minimized basis of the integral closure, with basis elements given by their weights//////////// //I= //1 y_16^2 + y_16*(y_7^2+1) +y_15*y_7^2 +y_12*y_7^2 +y_11*(y_7^3+y_7)+y_10*(y_7^3+y_7) +(y_7^3+y_7^2) //2 y_16*y_15 + y_16*(y_7+1) +y_15*(y_7^2+y_7+1)+y_13*y_7 +y_12 +y_10*(y_7^3+y_7^2+y_7+1)+(y_7^4+y_7^3+y_7^2+y_7+1) //3 y_15^2 + y_16*(y_7^2+y_7)+y_15*y_7 +y_12 +y_10+(y_7^4+y_7+1) //4 y_16*y_13 + y_16 +y_15*(y_7^2+1) +y_13*y_7^2 +y_12 +y_11*y_7 +y_10+(y_7^2+1) //5 y_15*y_13 + y_15 +y_13*(y_7+1)+y_12*y_7+(y_7^4+y_7^3+y_7^2+1) //6 y_16*y_12 + y_16*(y_7+1) +y_15*y_7 +y_13*y_7 +y_10*(y_7^2+1) +(y_7^4+y_7^3+y_7^2+1) //7 y_15*y_12 + y_15 +y_13*y_7^2 +y_12*y_7 +y_11*y_7^2 +y_10*(y_7+1) +(y_7^3+1) //8 y_16*y_11 + y_16*y_7 +y_13*y_7^2 +y_11*y_7^2 +(y_7^3+y_7^2) //9 y_13^2 + y_16*y_7 +y_15*(y_7+1) +y_13 +y_12*(y_7^2+y_7+1) +y_11*y_7 +y_10*(y_7^2+1) +(y_7^3+y_7+1) //10 y_15*y_11 + y_16*y_7 +y_12*(y_7^2+y_7+1) +y_11*(y_7+1) +y_10*(y_7^2+1) +(y_7^3+y_7^2+y_7) //11 y_16*y_10 + y_16 +y_13*y_7 +y_12*(y_7^2+y_7) +y_11*y_7^2 +y_10+(y_7^3+1) //12 y_13*y_12 + y_16*y_7 +y_15*y_7 +y_13*(y_7+1)+y_12 +y_11*y_7^2 +(y_7^3+1) //13 y_15*y_10 + y_16*y_7 +y_15 +y_12*y_7 +y_11*y_7^2 +y_10*(y_7^2+1) +(y_7^3+y_7+1) //14 y_12^2 + y_16*y_7 +y_15*(y_7+1) +y_13*y_7 +y_12*y_7 +y_10*y_7^2 +(y_7^3+y_7^2+y_7) //15 y_13*y_11 + y_16*y_7 +y_15*y_7 +y_13*y_7 +y_12 +y_11*y_7 +y_10*(y_7^2+y_7+1) +(y_7^3+y_7^2) //16 y_12*y_11 + y_16*y_7 +y_15*y_7 +y_12 +y_11*(y_7+1) +y_10+(y_7^3+y_7^2+y_7) //17 y_13*y_10 + y_16*y_7 +y_13*(y_7+1) +y_10+(y_7^3+ y_7+1) //18 y_11^2 + y_15*y_7 +y_13*y_7 +y_12*y_7 +y_11 +y_10*y_7 +(y_7^3+y_7^2+y_7) //19 y_12*y_10 + y_15*(y_7+1) +y_13*y_7 +y_12*y_7+y_7 //20 y_11*y_10 + y_11*(y_7+1) +y_10*y_7 +(y_7^3+y_7^2+y_7) //21 y_10^2 + y_15 +y_13*y_7 +y_12*(y_7+1) +y_10*(y_7+1) +y_7 //delta= x^209 + x^208 + x^207 + x^203 + x^197 + x^194 + x^191 + x^188 + x^184 + x^178 + x^175 + x^174 + x^173 + x^172 + x^171 + x^168 + x^167 + x^165 + x^163 + x^162 + x^161 + x^160 + x^157 + x^156 + x^154 + x^153 + x^151 + x^150 + x^146 + x^141 + x^140 + x^139 + x^138 + x^133 + x^132 + x^131 + x^129 + x^128 + x^127 + x^123 + x^120 + x^117 + x^116 + x^115 + x^113 + x^112 + x^111 + x^108 + x^106 + x^105 + x^104 + x^103 + x^102 + x^100 + x^99 + x^96 + x^94 + x^93 + x^91 + x^89 + x^86 + x^83 + x^82 + x^80 + x^78 + x^76 + x^74 + x^71 + x^70 + x^68 + x^67 + x^66 + x^65 + x^62 + x^60 + x^59 + x^58 + x^57 + x^56 + x^54 + x^52 + x^46 + x^42 + x^39 + x^38 + x^34 + x^33 + x^32 + x^31 + x^30 + x^29 + x^28 + x^27 + x^24 + x^21 + x^19 + x^17 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^6 + x^5 + x^3 //phi, the map from the integral closure (times delta) to the ring)= 1 y^4*x^205 + y^18*x^188 + y^2*x^207 + y^17*x^189 + y*x^208 + y^6*x^202 + y^16*x^190 + y^5*x^203 + y^10*x^197 + y^4*x^204 + y^9*x^198 + y^14*x^192 + y^3*x^205 + y^13*x^193 + y^2*x^206 + y^17*x^188 + y^10*x^196 + y^15*x^190 + y^9*x^197 + y^3*x^204 + y^2*x^205 + y^7*x^199 + y^12*x^193 + y*x^206 + y^11*x^194 + y^16*x^188 + y^5*x^201 + y^10*x^195 + y^15*x^189 + y^9*x^196 + y^14*x^190 + y^19*x^184 + y^8*x^197 + y^13*x^191 + y^12*x^192 + y*x^205 + y^6*x^199 + y^11*x^193 + y^16*x^187 + x^206 + y^10*x^194 + y^20*x^182 + y^13*x^190 + y*x^204 + y^6*x^198 + y^16*x^186 + y^5*x^199 + y^10*x^193 + y^4*x^200 + y^9*x^194 + y^19*x^182 + y^8*x^195 + y^13*x^189 + y^12*x^190 + y*x^203 + y^5*x^198 + y^15*x^186 + y^20*x^180 + y^4*x^199 + y^14*x^187 + y^19*x^181 + y^3*x^200 + y^18*x^182 + y*x^202 + y^11*x^190 + y^16*x^184 + x^203 + y^10*x^191 + y^15*x^185 + y^20*x^179 + y^4*x^198 + y^14*x^186 + y^8*x^193 + y^7*x^194 + y^12*x^188 + y^17*x^182 + y^6*x^195 + x^202 + y^5*x^196 + y^19*x^179 + y^3*x^198 + y^13*x^186 + y^18*x^180 + y^7*x^193 + y^17*x^181 + y*x^200 + y^16*x^182 + x^201 + y^20*x^177 + y^9*x^190 + y^14*x^184 + y^3*x^197 + y^8*x^191 + y^18*x^179 + y^7*x^192 + y^12*x^186 + x^200 + y^4*x^195 + y^9*x^189 + y^19*x^177 + y^3*x^196 + y^8*x^190 + y^18*x^178 + y^12*x^185 + y^17*x^179 + y^11*x^186 + y^10*x^187 + y^15*x^181 + y^4*x^194 + y^14*x^182 + y^19*x^176 + y^8*x^189 + y^18*x^177 + y^12*x^184 + y*x^197 + y^6*x^191 + y^11*x^185 + y^16*x^179 + y^5*x^192 + y^20*x^174 + y^4*x^193 + y^9*x^187 + y^14*x^181 + y^19*x^175 + y^8*x^188 + y^2*x^195 + y^7*x^189 + y^6*x^190 + x^197 + y^4*x^192 + y^9*x^186 + y^19*x^174 + y^13*x^181 + y^18*x^175 + y^12*x^182 + y^17*x^176 + y*x^195 + y^6*x^189 + y^11*x^183 + x^196 + y^15*x^178 + y^20*x^172 + y^14*x^179 + y^19*x^173 + y^3*x^192 + y^18*x^174 + y^2*x^193 + y^7*x^187 + y^17*x^175 + y^6*x^188 + x^195 + y^5*x^189 + y^10*x^183 + y^20*x^171 + y^4*x^190 + y^3*x^191 + y^8*x^185 + y^7*x^186 + y^12*x^180 + y^17*x^174 + y*x^193 + y^16*x^175 + y^10*x^182 + y^9*x^183 + y^14*x^177 + y^19*x^171 + y^3*x^190 + y^8*x^184 + y^18*x^172 + y^2*x^191 + y^12*x^179 + y^17*x^173 + y*x^192 + y^6*x^186 + y^16*x^174 + y^10*x^181 + y^19*x^170 + y^18*x^171 + y^2*x^190 + y^17*x^172 + y^6*x^185 + y^11*x^179 + x^192 + y^5*x^186 + y^15*x^174 + y^20*x^168 + y^9*x^181 + y^14*x^175 + y^19*x^169 + y^3*x^188 + y^13*x^176 + y^18*x^170 + y^2*x^189 + y^12*x^177 + y*x^190 + y^16*x^172 + x^191 + y^10*x^179 + y^20*x^167 + y^9*x^180 + y^8*x^181 + y^13*x^175 + y^17*x^170 + y^6*x^183 + y^11*x^177 + y^16*x^171 + y^5*x^184 + y^15*x^172 + y^9*x^179 + y^14*x^173 + y^19*x^167 + y^8*x^180 + y^13*x^174 + y^7*x^181 + y*x^188 + x^189 + y^5*x^183 + y^10*x^177 + y^15*x^171 + y^20*x^165 + y^14*x^172 + y^8*x^179 + y^18*x^167 + y^2*x^186 + y^17*x^168 + y*x^187 + y^16*x^169 + x^188 + y^10*x^176 + y^20*x^164 + y^4*x^183 + y^9*x^177 + y^14*x^171 + y^19*x^165 + y^8*x^178 + y^13*x^172 + y^18*x^166 + y^2*x^185 + y^17*x^167 + y^6*x^180 + y^11*x^174 + y^16*x^168 + y^5*x^181 + y^20*x^163 + y^4*x^182 + y^9*x^176 + y^14*x^170 + y^19*x^164 + y^13*x^171 + y^18*x^165 + y^7*x^178 + y^12*x^172 + y^6*x^179 + y^11*x^173 + y^16*x^167 + y^5*x^180 + y^10*x^174 + y^15*x^168 + y^20*x^162 + y^9*x^175 + y^19*x^163 + y^3*x^182 + y^8*x^176 + y^13*x^170 + y^18*x^164 + y^7*x^177 + y^12*x^171 + y*x^184 + y^11*x^172 + y^16*x^166 + y^10*x^173 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+ y^16*x^142 + y^5*x^155 + y^15*x^143 + y^20*x^137 + y^8*x^151 + y^18*x^139 + y^2*x^158 + y^16*x^141 + x^160 + y^10*x^148 + y^15*x^142 + y^9*x^149 + y^14*x^143 + y^19*x^137 + y^8*x^150 + y^18*x^138 + y^7*x^151 + y^17*x^139 + y*x^158 + y^11*x^146 + x^159 + y^15*x^141 + y^20*x^135 + y^14*x^142 + y^8*x^149 + y^13*x^143 + y^2*x^156 + y^6*x^151 + x^158 + y^5*x^152 + y^15*x^140 + y^4*x^153 + y^14*x^141 + y^13*x^142 + y^7*x^149 + y^12*x^143 + y*x^156 + y^5*x^151 + y^15*x^139 + y^4*x^152 + y^14*x^140 + y^19*x^134 + y^3*x^153 + y^13*x^141 + y^7*x^148 + y^16*x^137 + x^156 + y^5*x^150 + y^10*x^144 + y^15*x^138 + y^4*x^151 + y^14*x^139 + y^2*x^153 + y^7*x^147 + y*x^154 + y^16*x^136 + y^5*x^149 + y^4*x^150 + y^9*x^144 + y^19*x^132 + y^3*x^151 + y^13*x^139 + y^18*x^133 + y^2*x^152 + y^12*x^140 + y^17*x^134 + y^11*x^141 + x^154 + y^5*x^148 + y^10*x^142 + y^15*x^136 + y^9*x^143 + y^14*x^137 + y^19*x^131 + y^3*x^150 + y^8*x^144 + y^13*x^138 + y^18*x^132 + y^2*x^151 + y*x^152 + y^6*x^146 + y^11*x^140 + 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y^9*x^134 + y^8*x^135 + y^12*x^130 + y*x^143 + y^6*x^137 + x^144 + y^5*x^138 + y^20*x^120 + y^9*x^133 + y^19*x^121 + y^8*x^134 + y^13*x^128 + y^2*x^141 + y^7*x^135 + y^12*x^129 + y^17*x^123 + y*x^142 + y^11*x^130 + x^143 + y^5*x^137 + y^15*x^125 + y^20*x^119 + y^4*x^138 + y^8*x^133 + y^13*x^127 + y^18*x^121 + y^7*x^134 + y^11*x^129 + y^5*x^136 + y^15*x^124 + y^20*x^118 + y^4*x^137 + y^9*x^131 + y^3*x^138 + y^13*x^126 + y^18*x^120 + y^2*x^139 + y^12*x^127 + y*x^140 + y^6*x^134 + y^16*x^122 + x^141 + y^5*x^135 + y^10*x^129 + y^15*x^123 + y^20*x^117 + y^4*x^136 + y^9*x^130 + y^14*x^124 + y^19*x^118 + y^8*x^131 + y*x^139 + y^6*x^133 + y^11*x^127 + y^15*x^122 + y^20*x^116 + y^14*x^123 + y^19*x^117 + y^13*x^124 + y^18*x^118 + y^7*x^131 + y^6*x^132 + x^139 + y^4*x^134 + y^14*x^122 + y^19*x^116 + y^3*x^135 + y^8*x^129 + y^18*x^117 + y^2*x^136 + y^12*x^124 + y^17*x^118 + y^6*x^131 + y^11*x^125 + y^16*x^119 + x^138 + y^10*x^126 + y^20*x^114 + y^14*x^121 + y^19*x^115 + y^3*x^134 + y^2*x^135 + y^17*x^117 + y^6*x^130 + y^10*x^125 + y^15*x^119 + y^20*x^113 + y^14*x^120 + y^19*x^114 + y^3*x^133 + y^13*x^121 + y^18*x^115 + y^2*x^134 + y^7*x^128 + y^17*x^116 + y*x^135 + y^6*x^129 + x^136 + y^5*x^130 + y^20*x^112 + y^19*x^113 + y^8*x^126 + y^13*x^120 + y^2*x^133 + y^7*x^127 + y^12*x^121 + y*x^134 + y^6*x^128 + y^11*x^122 + x^135 + y^5*x^129 + y^15*x^117 + y^8*x^125 + y^7*x^126 + y^12*x^120 + y^17*x^114 + y*x^133 + y^5*x^128 + y^15*x^116 + y^4*x^129 + y^8*x^124 + y^2*x^131 + y^7*x^125 + y^12*x^119 + y*x^132 + y^6*x^126 + y^11*x^120 + x^133 + y^5*x^127 + y^15*x^115 + y^9*x^122 + y^19*x^110 + y^3*x^129 + y^7*x^124 + y^17*x^112 + y*x^131 + y^16*x^113 + y^5*x^126 + y^10*x^120 + y^20*x^108 + y^4*x^127 + y^9*x^121 + y^14*x^115 + y^3*x^128 + y^13*x^116 + y^18*x^110 + y^2*x^129 + y^12*x^117 + y^17*x^111 + y^11*x^118 + y^16*x^112 + y^5*x^125 + y^10*x^119 + y^9*x^120 + y^14*x^114 + y^19*x^108 + y^3*x^127 + y^18*x^109 + y^12*x^116 + y^6*x^123 + y^11*x^117 + y^16*x^111 + x^130 + y^15*x^112 + y^20*x^106 + y^4*x^125 + y^19*x^107 + y^3*x^126 + y^8*x^120 + y^13*x^114 + y^17*x^109 + y*x^128 + y^6*x^122 + y^16*x^110 + x^129 + y^5*x^123 + y^4*x^124 + y^14*x^112 + y^19*x^106 + y^3*x^125 + y^8*x^119 + y^13*x^113 + y^18*x^107 + y^7*x^120 + y^12*x^114 + y*x^127 + y^11*x^115 + x^128 + y^10*x^116 + y^20*x^104 + y^4*x^123 + y^19*x^105 + y^3*x^124 + y^13*x^112 + y^18*x^106 + y*x^126 + y^16*x^108 + x^127 + y^5*x^121 + y^10*x^115 + y^20*x^103 + y^4*x^122 + y^14*x^110 + y^8*x^117 + y^7*x^118 + y^12*x^112 + y^16*x^107 + y^5*x^120 + y^15*x^108 + y^9*x^115 + y^14*x^109 + y^13*x^110 + y^18*x^104 + y^2*x^123 + y^7*x^117 + y*x^124 + y^6*x^118 + y^16*x^106 + x^125 + y^15*x^107 + y^20*x^101 + y^9*x^114 + y^14*x^108 + y^8*x^115 + y^2*x^122 + y^12*x^110 + y^17*x^104 + y*x^123 + y^11*x^111 + y^16*x^105 + x^124 + y^4*x^119 + y^9*x^113 + y^14*x^107 + y^19*x^101 + y^3*x^120 + y^8*x^114 + y^7*x^115 + y^11*x^110 + y^16*x^104 + y^5*x^117 + y^10*x^111 + y^15*x^105 + y^20*x^99 + y^4*x^118 + y^14*x^106 + y^19*x^100 + y^3*x^119 + y^18*x^101 + y^7*x^114 + y^12*x^108 + y^17*x^102 + y*x^121 + y^6*x^115 + y^11*x^109 + y^16*x^103 + y^5*x^116 + y^14*x^105 + y^8*x^112 + y^13*x^106 + y^18*x^100 + y^17*x^101 + y^6*x^114 + y^11*x^108 + y^5*x^115 + y^10*x^109 + y^15*x^103 + y^20*x^97 + y^16*x^101 + x^120 + y^5*x^114 + y^10*x^108 + y^15*x^102 + y^4*x^115 + y^14*x^103 + y^3*x^116 + y^13*x^104 + y^2*x^117 + y^7*x^111 + y^17*x^99 + y^6*x^112 + y^11*x^106 + y^16*x^100 + x^119 + y^14*x^102 + y^19*x^96 + y^8*x^109 + y^13*x^103 + y^18*x^97 + y*x^117 + y^6*x^111 + y^16*x^99 + x^118 + y^15*x^100 + y^4*x^113 + y^14*x^101 + y^3*x^114 + y^8*x^108 + y^13*x^102 + y^18*x^96 + y^2*x^115 + y^7*x^109 + y^12*x^103 + y^17*x^97 + y^11*x^104 + y^5*x^111 + y^20*x^93 + y^18*x^95 + y^7*x^108 + y^12*x^102 + y^11*x^103 + y^16*x^97 + y^15*x^98 + y^20*x^92 + y^9*x^105 + y^19*x^93 + y^18*x^94 + y^2*x^113 + y^7*x^107 + y^12*x^101 + y^16*x^96 + y^10*x^103 + y^20*x^91 + y^4*x^110 + y^14*x^98 + y^19*x^92 + y^3*x^111 + y^13*x^99 + y^18*x^93 + y^7*x^106 + y^12*x^100 + y^17*x^94 + x^114 + y^10*x^102 + y^20*x^90 + y^4*x^109 + y^9*x^103 + y^14*x^97 + y^19*x^91 + y^8*x^104 + y^13*x^98 + y^18*x^92 + y*x^112 + y^16*x^94 + x^113 + y^10*x^101 + y^15*x^95 + y^9*x^102 + y^14*x^96 + y^19*x^90 + y^3*x^109 + y^8*x^103 + y^18*x^91 + y^2*x^110 + y^7*x^104 + y^12*x^98 + y^17*x^92 + y*x^111 + x^112 + y^9*x^101 + y^3*x^108 + y^18*x^90 + y^12*x^97 + y*x^