out ax^5+bx^4+cx^3+dx^2+fx+g=0 in Ax+B=0 -A^5g+A^4Bf-A^3B^2d+A^2B^3c-AB^4b+B^5a=0 in Ax^2+Bx+C=0 A^5g^2 +A^4(Cf^2-2Cdg-Bfg) +A^3(-BCdf-2C^2cf+3BCcg+C^2d^2+B^2dg+2C^2bg) +A^2(-BC^2cd+3BC^2bf+B^2Ccf+2C^3af+C^3c^2-4B^2Cbg-B^3cg-2C^3bd-5BC^2ag) +A(-B^3Cbf+3BC^3ad-4B^2C^2af-BC^3bc-2C^4ac+5B^3Cag+B^4bg+B^2C^2bd+C^4b^2) +a(B^4Cf+B^2C^3c-B^3C^2d-BC^4b+C^5a-B^5g)=0 in Ax^3+Bx^2+Cx+D=0 -A^5g^3 +A^4(3Dcg^2-3Ddfg+2Cdg^2+Df^3-Cf^2g+Bfg^2) +A^3(3D^2afg-5CDag^2+3D^2bdg-3D^2bf^2+5CDbfg-2C^2bg^2-4BDbg^2-3D^2c^2g+3D^2cdf-CDcdg-2CDcf^2+BDcfg+2C^2cfg-3BCcg^2-D^2d^3+CDd^2f-C^2d^2g+2BDd^2g-BDdf^2+BCdfg-B^2dg^2) +A^2(3D^3ad^2-3D^3acf-5CD^2adf+2C^2Daf^2+4BD^2af^2-3D^3abg+7CD^2acg-7BD^2adg+3C^2Dadg-2C^3afg-7BCDafg+5B^2Dag^2+5BC^2ag^2+3D^3b^2f-4CD^2b^2g-3D^3bcd+CD^2bcf-C^2Dbcg+5BD^2bcg+2CD^2bd^2-BD^2bdf-2C^2Dbdf+2C^3bdg-4BCDbdg+3BCDbf^2-B^2Dbfg-3BC^2bfg+4B^2Cbg^2+D^3c^3-CD^2c^2d+C^2Dc^2f-2BD^2c^2f+3BCDc^2g-C^3c^2g+BD^2cd^2-BCDcdf+BC^2cdg-2B^2Dcdg+B^2Dcf^2-B^2Ccfg+B^3cg^2) +A(-3D^4a^2d+4CD^3a^2f-5C^2D^2a^2g+5BD^3a^2g+3D^4abc-2CD^3ac^2-CD^3abd+BD^3acd+2C^2D^2acd-3BCD^2ad^2+C^2D^2abf-5BD^3abf-2C^3Dacf+4BCD^2acf+B^2D^2adf+3BC^2Dadf-4B^2CDaf^2-C^3Dabg+7BCD^2abg+2C^4acg-3B^2D^2acg-6BC^2Dacg-3BC^3adg+6B^2CDadg+4B^2C^2afg+B^3Dafg-5B^3Cag^2-D^4b^3+CD^3b^2c-C^2D^2b^2d+2BD^3b^2d+C^3Db^2f-3BCD^2b^2f-C^4b^2g+4BC^2Db^2g-2B^2D^2b^2g-BD^3bc^2+BCD^2bcd-BC^2Dbcf+2B^2D^2bcf+BC^3bcg-3B^2CDbcg-B^2D^2bd^2+B^2CDbdf-B^2C^2bdg+2B^3Dbdg-B^3Dbf^2+B^3Cbfg-B^4bg^2) +a(D^5a^2-CD^4ab+C^2D^3ac-C^3D^2ad-2BD^4ac+3BCD^3ad+C^4Daf-4BC^2D^2af+2B^2D^3af-C^5ag-5B^2CD^2ag+5BC^3Dag+BD^4b^2-BCD^3bc+B^2D^3c^2+BC^2D^2bd-B^2CD^2cd+B^3D^2d^2-2B^2D^3bd-BC^3Dbf+B^2C^2Dcf-B^3CDdf+B^4Df^2+3B^2CD^2bf-2B^3D^2cf+BC^4bg-B^2C^3cg+B^3C^2dg-B^4Cfg+B^5g^2+2B^3D^2bg-4B^2C^2Dbg+3B^3CDcg-2B^4Ddg) =0 in Ax^4+Bx^3+Cx^2+Dx+F=0 A^5g^4 +A^4(-4Fbg^3-3Dcg^3+4Fcfg^2+2Fd^2g^2+3Ddfg^2-4Fdf^2g-2Cdg^3-Df^3g-Bfg^3+Ff^4+Cf^2g^2) +A^3(-4F^2af^3-4F^2acg^2+8F^2adfg-7DFadg^2+7DFaf^2g+5BFag^3+5CDag^3-3D^2afg^2-6CFafg^2+6F^2b^2g^2-3DFbf^3+4F^2bdf^2-8F^2bcfg+5DFbcg^2-4F^2bd^2g+2DFbdfg-3D^2bdg^2+2CFbdg^2+2CFbf^2g+3D^2bf^2g+4BDbg^3+2C^2bg^3-BFbfg^2-5CDbfg^2+2F^2c^2f^2+4F^2c^2dg-5DFc^2fg+3D^2c^2g^2-3CFc^2g^2-4F^2cd^2f-2CFcf^3+3DFcdf^2+DFcd^2g+2CDcf^2g+BFcf^2g+3BCcg^3-3D^2cdfg+4CFcdfg+CDcdg^2-5BFcdg^2-2C^2cfg^2-BDcfg^2+F^2d^4+D^2d^3g-2CFd^3g-DFd^3f-CDd^2fg-2BDd^2g^2+3BFd^2fg+C^2d^2g^2+CFd^2f^2-BCdfg^2+BDdf^2g+B^2dg^3-BFdf^3) +A^2(6F^3a^2f^2-4F^3a^2dg-11DF^2a^2fg+5CF^2a^2g^2+5D^2Fa^2g^2-3DF^2ad^3+4F^3acd^2-8F^3abdf+5DF^2abf^2-4F^3ac^2f+2DF^2acdf-3D^2Facf^2+2CF^2acf^2+2CF^2ad^2f+3D^2Fad^2f+4BDFaf^3+2C^2Faf^3-BF^2adf^2-5CDFadf^2+8F^3abcg+6DF^2abdg-8D^2Fabfg+4CF^2abfg-11BF^2abg^2+3D^3abg^2-2CDFabg^2+DF^2ac^2g+D^2Facdg-12CF^2acdg+6BF^2acfg+3D^3acfg+2CDFacfg+BDFacg^2-7CD^2acg^2+8C^2Facg^2+BF^2ad^2g+6CDFad^2g-3D^3ad^2g-4C^2Fadfg-10BDFadfg+5CD^2adfg+7BD^2adg^2+4BCFadg^2-3C^2Dadg^2-3BCFaf^2g-4BD^2af^2g-2C^2Daf^2g-5B^2Dag^3-5BC^2ag^3+B^2Fafg^2+7BCDafg^2+2C^3afg^2-4F^3b^3g+2F^3b^2d^2+4F^3b^2cf-5DF^2b^2df+3D^2Fb^2f^2-3CF^2b^2f^2-DF^2b^2cg+2D^2Fb^2dg+2CF^2b^2dg-3D^3b^2fg+2CDFb^2fg+5BF^2b^2fg+4CD^2b^2g^2-4C^2Fb^2g^2-8BDFb^2g^2-4F^3bc^2d-2CF^2bd^3+3DF^2bcd^2+DF^2bc^2f+2CDFbd^2f+BF^2bd^2f+3BCFbf^3-3D^2Fbcdf+4CF^2bcdf+CDFbcf^2-5BF^2bcf^2-2C^2Fbdf^2-BDFbdf^2-D^2Fbc^2g+2CF^2bc^2g+2BF^2bcdg+3D^3bcdg-8CDFbcdg+10BDFbcfg-CD^2bcfg-5BD^2bcg^2+2BCFbcg^2+C^2Dbcg^2-2CD^2bd^2g+4C^2Fbd^2g+BD^2bdfg-8BCFbdfg+2C^2Dbdfg+4BCDbdg^2+2B^2Fbdg^2-2C^3bdg^2-3BCDbf^2g-B^2Fbf^2g-4B^2Cbg^3+3BC^2bfg^2+B^2Dbfg^2+F^3c^4-DF^2c^3d+D^2Fc^3f-2CF^2c^3f-D^3c^3g+3CDFc^3g-3BF^2c^3g+CF^2c^2d^2-CDFc^2df+3BF^2c^2df+C^2Fc^2f^2-2BDFc^2f^2+CD^2c^2dg-BDFc^2dg-2C^2Fc^2dg-C^2Dc^2fg+2BD^2c^2fg+BCFc^2fg+C^3c^2g^2-3BCDc^2g^2+3B^2Fc^2g^2-BF^2cd^3+BDFcd^2f+B^2Fcf^3-BCFcdf^2-BD^2cd^2g+2BCFcd^2g-B^2Dcf^2g-B^3cg^3+BCDcdfg-3B^2Fcdfg-BC^2cdg^2+2B^2Dcdg^2+B^2Ccfg^2) +A(-4F^4a^3f+5DF^3a^3g+2F^4a^2c^2+4F^4a^2bd-5DF^3a^2cd+3D^2F^2a^2d^2-3CF^3a^2d^2-DF^3a^2bf+2D^2F^2a^2cf+2CF^3a^2cf-3D^3Fa^2df+2CDF^2a^2df+5BF^3a^2df+4CD^2Fa^2f^2-4C^2F^2a^2f^2-8BDF^2a^2f^2-6CF^3a^2bg+D^2F^2a^2bg-2D^3Fa^2cg+4CDF^2a^2cg-7BF^3a^2cg+3D^4a^2dg-9CD^2Fa^2dg+BDF^2a^2dg+8C^2F^2a^2dg-4CD^3a^2fg+3C^2DFa^2fg+13BD^2Fa^2fg-2BCF^2a^2fg+5C^2D^2a^2g^2-5C^3Fa^2g^2-5BCDFa^2g^2+5B^2F^2a^2g^2-5BD^3a^2g^2-4F^4ab^2c-2CF^3ac^3+3DF^3abc^2+DF^3ab^2d+2CDF^2ac^2d+BF^3ac^2d+3BCF^2ad^3-3D^2F^2abcd+4CF^3abcd+CDF^2abd^2-5BF^3abd^2-2C^2F^2acd^2-BDF^2acd^2-D^2F^2ab^2f+2CF^3ab^2f+2BF^3abcf+3D^3Fabcf-8CDF^2abcf+10BDF^2abdf-CD^2Fabdf-5BD^2Fabf^2+2BCF^2abf^2+C^2DFabf^2-2CD^2Fac^2f+4C^2F^2ac^2f+BD^2Facdf-8BCF^2acdf+2C^2DFacdf+4BCDFacf^2+2B^2F^2acf^2-2C^3Facf^2-3BCDFad^2f-B^2F^2ad^2f-4B^2CFaf^3+3BC^2Fadf^2+B^2DFadf^2+7BF^3ab^2g+D^3Fab^2g-3CDF^2ab^2g-10BDF^2abcg-3D^4abcg+11CD^2Fabcg-4C^2F^2abcg-5BD^2Fabdg+CD^3abdg+2BCF^2abdg-2C^2DFabdg+5BD^3abfg-C^2D^2abfg-8B^2F^2abfg-7BCD^2abg^2+3BC^2Fabg^2+13B^2DFabg^2+C^3Dabg^2+6BCF^2ac^2g+2CD^3ac^2g-6C^2DFac^2g+B^2F^2acdg-BD^3acdg+5BCDFacdg-2C^2D^2acdg+4C^3Facdg-5B^2DFacfg-4BCD^2acfg+2C^3Dacfg-2BC^2Facfg+3B^2D^2acg^2-9B^2CFacg^2+6BC^2Dacg^2-2C^4acg^2+3BCD^2ad^2g-6BC^2Fad^2g-B^2D^2adfg+11B^2CFadfg-3BC^2Dadfg-6B^2CDadg^2-2B^3Fadg^2+3BC^3adg^2+4B^2CDaf^2g+B^3Faf^2g+5B^3Cag^3-4B^2C^2afg^2-B^3Dafg^2+F^4b^4-DF^3b^3c+D^2F^2b^3d-2CF^3b^3d-D^3Fb^3f+3CDF^2b^3f-3BF^3b^3f+D^4b^3g-4CD^2Fb^3g+4BDF^2b^3g+2C^2F^2b^3g+CF^3b^2c^2-CDF^2b^2cd+3BF^3b^2cd+C^2F^2b^2d^2-2BDF^2b^2d^2+CD^2Fb^2cf-BDF^2b^2cf-2C^2F^2b^2cf-C^2DFb^2df+2BD^2Fb^2df+BCF^2b^2df+C^3Fb^2f^2-3BCDFb^2f^2+3B^2F^2b^2f^2-CD^3b^2cg+BD^2Fb^2cg+3C^2DFb^2cg-5BCF^2b^2cg+C^2D^2b^2dg-2BD^3b^2dg+4BCDFb^2dg-2C^3Fb^2dg-3B^2F^2b^2dg-C^3Db^2fg+3BCD^2b^2fg-5B^2DFb^2fg+BC^2Fb^2fg+C^4b^2g^2-4BC^2Db^2g^2+4B^2CFb^2g^2+2B^2D^2b^2g^2-BF^3bc^3+BDF^2bc^2d+B^2F^2bd^3-BCF^2bcd^2-BD^2Fbc^2f+2BCF^2bc^2f-B^2DFbd^2f-B^3Fbf^3+BCDFbcdf-3B^2F^2bcdf-BC^2Fbcf^2+2B^2DFbcf^2+B^2CFbdf^2+BD^3bc^2g-3BCDFbc^2g+3B^2F^2bc^2g-BCD^2bcdg+B^2DFbcdg+2BC^2Fbcdg+BC^2Dbcfg-2B^2D^2bcfg-B^2CFbcfg-BC^3bcg^2+3B^2CDbcg^2-3B^3Fbcg^2+B^2D^2bd^2g-2B^2CFbd^2g-B^2CDbdfg+3B^3Fbdfg+B^2C^2bdg^2-2B^3Dbdg^2+B^3Dbf^2g+B^4bg^3-B^3Cbfg^2) +a(F^5a^3-DF^4a^2b+D^2F^3a^2c-2CF^4a^2c-D^3F^2a^2d+3CDF^3a^2d-3BF^4a^2d+D^4Fa^2f-4CD^2F^2a^2f+4BDF^3a^2f+2C^2F^3a^2f-D^5a^2g+5CD^3Fa^2g-5BD^2F^2a^2g-5C^2DF^2a^2g+5BCF^3a^2g+CF^4ab^2-CDF^3abc+3BF^4abc+C^2F^3ac^2-2BDF^3ac^2+CD^2F^2abd-BDF^3abd-2C^2F^3abd-C^2DF^2acd+2BD^2F^2acd+BCF^3acd+C^3F^2ad^2-3BCDF^2ad^2+3B^2F^3ad^2-CD^3Fabf+BD^2F^2abf+3C^2DF^2abf-5BCF^3abf+C^2D^2Facf-2BD^3Facf+4BCDF^2acf-2C^3F^2acf-3B^2F^3acf-C^3DFadf+3BCD^2Fadf-5B^2DF^2adf+BC^2F^2adf+C^4Faf^2-4BC^2DFaf^2+4B^2CF^2af^2+2B^2D^2Faf^2+CD^4abg-4C^2D^2Fabg+7BCDF^2abg+2C^3F^2abg-BD^3Fabg-3B^2F^3abg-C^2D^3acg+2BD^4acg-6BCD^2Facg+3C^3DFacg+7B^2DF^2acg-3BC^2F^2acg+C^3D^2adg-3BCD^3adg+3B^2D^2Fadg+6BC^2DFadg-2C^4Fadg-7B^2CF^2adg-C^4Dafg+4BC^2D^2afg-7B^2CDFafg-2B^2D^3afg+BC^3Fafg+3B^3F^2afg+C^5ag^2-5BC^3Dag^2+5B^2C^2Fag^2+5B^2CD^2ag^2-5B^3DFag^2-BF^4b^3+BDF^3b^2c+B^2F^3c^3-BCF^3bc^2-BD^2F^2b^2d+2BCF^3b^2d-B^2DF^2c^2d-B^3F^2d^3+BCDF^2bcd-3B^2F^3bcd-BC^2F^2bd^2+2B^2DF^2bd^2+B^2CF^2cd^2+BD^3Fb^2f-3BCDF^2b^2f+3B^2F^3b^2f-BCD^2Fbcf+B^2DF^2bcf+2BC^2F^2bcf+BC^2DFbdf-2B^2D^2Fbdf-B^2CF^2bdf-BC^3Fbf^2+3B^2CDFbf^2-3B^3F^2bf^2+B^2D^2Fc^2f-2B^2CF^2c^2f-B^2CDFcdf+3B^3F^2cdf+B^2C^2Fcf^2-2B^3DFcf^2+B^3DFd^2f+B^4Ff^3-B^3CFdf^2-BD^4b^2g+4BCD^2Fb^2g-4B^2DF^2b^2g-2BC^2F^2b^2g+BCD^3bcg-B^2D^2Fbcg-3BC^2DFbcg+5B^2CF^2bcg-BC^2D^2bdg+2B^2D^3bdg-4B^2CDFbdg+2BC^3Fbdg+3B^3F^2bdg+BC^3Dbfg-3B^2CD^2bfg+5B^3DFbfg-B^2C^2Fbfg-BC^4bg^2+4B^2C^2Dbg^2-4B^3CFbg^2-2B^3D^2bg^2-B^2D^3c^2g+3B^2CDFc^2g-3B^3F^2c^2g+B^2CD^2cdg-B^3DFcdg-2B^2C^2Fcdg-B^2C^2Dcfg+2B^3D^2cfg+B^3CFcfg+B^2C^3cg^2-3B^3CDcg^2+3B^4Fcg^2-B^3D^2d^2g+2B^3CFd^2g+B^3CDdfg-3B^4Fdfg-B^3C^2dg^2+2B^4Ddg^2-B^4Df^2g-B^5g^3+B^4Cfg^2) =0 in Ax^5+Bx^4+Cx^3+Dx^2+Fx+G=0 -A^5g^5 +A^4(4Fbg^4+3Dcg^4-4Fcfg^3-2Fd^2g^3-3Ddfg^3+4Fdf^2g^2+2Cdg^4+Df^3g^2+Bfg^4-Ff^4g-Cf^2g^3-5Gbfg^3+5Gcf^2g^2+5Gd^2fg^2-5Gdf^3g+Gf^5+5Gag^4-5Gcdg^3) +A^3(4F^2af^3g+4F^2acg^3-8F^2adfg^2+7DFadg^3-7DFaf^2g^2-5BFag^4-5CDag^4+3D^2afg^3+6CFafg^3-6F^2b^2g^3+3DFbf^3g-4F^2bdf^2g+8F^2bcfg^2-5DFbcg^3+4F^2bd^2g^2-2DFbdfg^2+3D^2bdg^3-2CFbdg^3-2CFbf^2g^2-3D^2bf^2g^2-4BDbg^4-2C^2bg^4+BFbfg^3+5CDbfg^3-2F^2c^2f^2g-4F^2c^2dg^2+5DFc^2fg^2-3D^2c^2g^3+3CFc^2g^3+4F^2cd^2fg+2CFcf^3g-3DFcdf^2g-DFcd^2g^2-2CDcf^2g^2-BFcf^2g^2-3BCcg^4+3D^2cdfg^2-4CFcdfg^2-CDcdg^3+5BFcdg^3+2C^2cfg^3+BDcfg^3-F^2d^4g-D^2d^3g^2+2CFd^3g^2+DFd^3fg+CDd^2fg^2+2BDd^2g^3-3BFd^2fg^2-C^2d^2g^3-CFd^2f^2g+BCdfg^3-BDdf^2g^2-B^2dg^4+BFdf^3g+6BGbdg^3-7BGcdfg^2-2BGd^3g^2+4BGd^2f^2g-BGdf^4+BGafg^3-BGbf^2g^2+3BGc^2g^3+BGcf^3g-2CGaf^2g^2-4CGbdfg^2+2CGbf^3g-7CGc^2fg^2-2CGcf^4+6CGcdf^2g-3CGd^3fg+CGd^2f^3-3CGadg^3+7CGbcg^3+3CGcd^2g^2-DGadfg^2+3DGaf^3g-3DGbf^4-DGbcfg^2+9DGbdf^2g-3DGc^2f^2g+3DGcdf^3-6DGcd^2fg-DGd^3f^2-7DGacg^3+4DGb^2g^3-8DGbd^2g^2+7DGc^2dg^2+2DGd^4g-4FGaf^4+2FGacfg^2+7FGadf^2g+11FGb^2fg^2+4FGbdf^3-13FGbcf^2g-3FGbd^2fg+2FGc^2f^3+7FGc^2dfg-4FGcd^2f^2+FGd^4f-11FGabg^3+FGad^2g^2+2FGbcdg^2-3FGc^3g^2-FGcd^3g+5G^2adf^3+15G^2acdg^2-10G^2ad^2fg-5G^2b^2dg^2-5G^2bd^2f^2+5G^2bcdfg+5G^2bd^3g-5G^2c^2df^2-5G^2c^2d^2g+5G^2cd^3f-G^2d^5-10G^2a^2g^3-10G^2acf^2g+15G^2abfg^2-5G^2b^2f^2g-5G^2bc^2g^2+5G^2bcf^3+5G^2c^3fg) 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=0 in Ax^6+Bx^5+Cx^4+Dx^3+Fx^2+Gx+H=0 A^5g^6 +A^4(-4Fbg^5-3Dcg^5+4Fcfg^4+2Fd^2g^4+3Ddfg^4-4Fdf^2g^3-2Cdg^5-Df^3g^3-Bfg^5+Ff^4g^2+Cf^2g^4+5Gbfg^4-5Gcf^2g^3-5Gd^2fg^3+5Gdf^3g^2-Gf^5g-5Gag^5+5Gcdg^4-6Hbf^2g^3+6Hcf^3g^2+9Hd^2f^2g^2-6Hdf^4g+Hf^6+6Hafg^4-12Hcdfg^3+6Hbdg^4-2Hd^3g^3+3Hc^2g^4) 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5BF^2Ga^2df^2g+11BF^2Ga^2cfg^2-3BF^2Ga^2d^2g^2-BF^2Gac^2dfg+11BG^3a^2bf^2g+2BG^3a^2bdg^2+7BG^3abcd^2g-13BG^3ab^2dfg-3BG^3abc^2fg+7BG^3ab^2cg^2-4BG^3b^4g^2+2BG^3b^3d^2g+4BG^3b^3cfg-4BG^3b^2c^2dg+BG^3bc^4g-11BG^3a^3fg^2-3BG^3a^2d^3g+2BG^3a^2cdfg+BG^3a^2c^2g^2-BG^3ac^3dg-23BFG^2a^2bfg^2-5BFG^2abd^3g+8BFG^2ab^2f^2g+12BFG^2ab^2dg^2+BFG^2abc^2g^2-5BFG^2b^3dfg-BFG^2b^3cg^2+3BFG^2b^2cd^2g+BFG^2b^2c^2fg-BFG^2bc^3dg+15BFG^2a^3g^3-4BFG^2a^2cf^2g+8BFG^2a^2d^2fg-10BFG^2a^2cdg^2+BFG^2ac^2d^2g-C^3Gb^2f^3g-3C^3Gb^2cg^3+3C^3Gb^2dfg^2+C^3Ga^2fg^3+6C^3Gac^2g^3+2C^3Gacf^3g-6C^3Gacdfg^2-C^2DGabf^3g-11C^2DGabcg^3+3C^2DGabdfg^2+4C^2DGb^3g^3+C^2DGb^2df^2g-C^2DGb^2cfg^2-2C^2DGb^2d^2g^2-4C^2DGa^2dg^3+C^2DGa^2f^2g^2+2C^2DGac^2fg^2-2C^2DGacdf^2g+4C^2DGacd^2g^2+5C^2FGab^2g^3+10C^2FGabcfg^2-5C^2FGb^3fg^2-C^2FGb^2d^2fg+2C^2FGb^2cf^2g+C^2FGb^2cdg^2+4C^2FGa^2f^3g-C^2FGa^2cg^3-11C^2FGa^2dfg^2-4C^2FGac^2f^2g-2C^2FGac^2dg^2+2C^2FGacd^2fg-4C^2G^2a^2bg^3-6C^2G^2abcf^2g-3C^2G^2ab^2fg^2+6C^2G^2abcdg^2+3C^2G^2b^3f^2g-3C^2G^2b^3dg^2+C^2G^2b^2d^3g-3C^2G^2b^2cdfg+3C^2G^2b^2c^2g^2-C^2G^2a^2df^2g+7C^2G^2a^2cfg^2+2C^2G^2a^2d^2g^2-6C^2G^2ac^3g^2+6C^2G^2ac^2dfg-2C^2G^2acd^3g+CD^2Gabdf^2g-CD^2Gab^2g^3-3CD^2Gabcfg^2-2CD^2Gabd^2g^2+CD^2Gb^3fg^2-CD^2Gb^2cf^2g+2CD^2Gb^2cdg^2-4CD^2Ga^2f^3g+4CD^2Ga^2cg^3+11CD^2Ga^2dfg^2+2CD^2Gac^2f^2g-4CD^2Gac^2dg^2+9CDFGa^2bg^3+8CDFGabcf^2g-CDFGabd^2fg-7CDFGabcdg^2-3CDFGb^3f^2g+4CDFGb^3dg^2+CDFGb^2cdfg-3CDFGb^2c^2g^2-2CDFGa^2df^2g-18CDFGa^2cfg^2+2CDFGab^2fg^2+6CDFGac^3g^2-2CDFGac^2dfg+6CDFGa^2d^2g^2-10CDG^2a^2bfg^2+CDG^2abd^3g-CDG^2ab^2f^2g-5CDG^2abcdfg+4CDG^2ab^2dg^2+13CDG^2abc^2g^2+CDG^2b^3dfg-5CDG^2b^3cg^2-CDG^2b^2cd^2g+2CDG^2b^2c^2fg+15CDG^2a^3g^3+12CDG^2a^2cf^2g-CDG^2a^2d^2fg-17CDG^2a^2cdg^2-4CDG^2ac^3fg+2CDG^2ac^2d^2g+12CF^2Ga^2bfg^2-2CF^2Gab^2f^2g-4CF^2Gabcdfg-3CF^2Gab^2dg^2+2CF^2Gb^3dfg+CF^2Gb^3cg^2-CF^2Gb^2c^2fg-10CF^2Ga^3g^3-2CF^2Ga^2cf^2g+3CF^2Ga^2d^2fg+4CF^2Ga^2cdg^2-2CF^2Gabc^2g^2+2CF^2Gac^3fg-CG^3a^2bdfg-CG^3a^2bcg^2-6CG^3abc^2dg-3CG^3ab^2d^2g+9CG^3ab^2cfg+3CG^3ab^3g^2-3CG^3b^4fg+3CG^3b^3cdg-CG^3b^2c^3g+4CG^3a^3f^2g-7CG^3a^3dg^2+7CG^3a^2cd^2g-8CG^3a^2c^2fg+2CG^3ac^4g-6CFG^2a^2bf^2g+5CFG^2a^2bdg^2+4CFG^2abcd^2g+5CFG^2ab^2dfg-15CFG^2ab^2cg^2+4CFG^2b^4g^2-2CFG^2b^3d^2g-CFG^2b^3cfg+CFG^2b^2c^2dg+2CFG^2a^3fg^2-3CFG^2a^2d^3g-2CFG^2a^2cdfg+8CFG^2a^2c^2g^2+2CFG^2abc^2fg-2CFG^2ac^3dg-D^3Ga^2bg^3-3D^3Gabcf^2g+6D^3Gabcdg^2+D^3Gb^3f^2g-2D^3Gb^3dg^2+3D^3Ga^2df^2g-6D^3Ga^2d^2g^2+D^2FGa^2bfg^2+D^2FGab^2f^2g+3D^2FGabcdfg-9D^2FGabc^2g^2-D^2FGb^3dfg+3D^2FGb^3cg^2-10D^2FGa^3g^3-2D^2FGa^2cf^2g-3D^2FGa^2d^2fg+13D^2FGa^2cdg^2-2D^2FGab^2dg^2-D^2G^2a^2bf^2g+8D^2G^2a^2bdg^2-3D^2G^2abcd^2g+6D^2G^2abc^2fg-6D^2G^2ab^2cg^2+2D^2G^2b^4g^2+D^2G^2b^3d^2g-2D^2G^2b^3cfg+D^2G^2a^3fg^2+3D^2G^2a^2d^3g-6D^2G^2a^2cdfg+DF^2Ga^2bf^2g-15DF^2Ga^2bdg^2-DF^2Gab^2dfg-3DF^2Gabc^2fg+15DF^2Gab^2cg^2-4DF^2Gb^4g^2+DF^2Gb^3cfg+7DF^2Ga^3fg^2+5DF^2Ga^2cdfg-6DF^2Ga^2c^2g^2-7DG^3a^2bd^2g-4DG^3a^2bcfg-2DG^3a^2b^2g^2-3DG^3abc^3g+6DG^3ab^2cdg+2DG^3ab^3fg-2DG^3b^4dg+DG^3b^3c^2g+7DG^3a^3dfg-3DG^3a^3cg^2+3DG^3a^2c^2dg+10DFG^2a^2bdfg+8DFG^2a^2bcg^2+3DFG^2abc^2dg+DFG^2ab^2d^2g-11DFG^2ab^2cfg-3DFG^2ab^3g^2+3DFG^2b^4fg-DFG^2b^3cdg-8DFG^2a^3f^2g-DFG^2a^3dg^2-5DFG^2a^2cd^2g+4DFG^2a^2c^2fg-4F^3Ga^2bdfg-3F^3Ga^2bcg^2+4F^3Gab^2cfg+F^3Gab^3g^2-F^3Gb^4fg+4F^3Ga^3f^2g+3F^3Ga^3dg^2-2F^3Ga^2c^2fg-5G^4a^3bfg+5G^4a^2bc^2g+5G^4a^2b^2dg-5G^4ab^3cg+G^4b^5g+5G^4a^4g^2-5G^4a^3cdg+FG^3a^3bg^2-7FG^3a^2bcdg-FG^3a^2b^2fg+4FG^3ab^2c^2g+FG^3ab^3dg-FG^3b^4cg+3FG^3a^3d^2g+6FG^3a^3cfg-2FG^3a^2c^3g+4F^2G^2a^2bd^2g+3F^2G^2a^2bcfg+F^2G^2a^2b^2g^2-4F^2G^2ab^2cdg-F^2G^2ab^3fg+F^2G^2b^4dg-7F^2G^2a^3dfg-2F^2G^2a^3cg^2+2F^2G^2a^2c^2dg+5B^3Hb^2fg^3-5B^3Hbcf^2g^2-5B^3Hbd^2fg^2+5B^3Hbdf^3g-B^3Hbf^5-9B^3Habg^4+5B^3Hbcdg^3+4B^3Hacfg^3+2B^3Had^2g^3-4B^3Hadf^2g^2+B^3Haf^4g+18B^2CHabfg^3+B^2CHb^2f^2g^2-B^2CHbcf^3g+7B^2CHbcdfg^2-4B^2CHbd^2f^2g+B^2CHbdf^4-19B^2CHacf^2g^2-17B^2CHad^2fg^2+19B^2CHadf^3g-4B^2CHaf^5-6B^2CHb^2dg^3-3B^2CHbc^2g^3+2B^2CHbd^3g^2-15B^2CHa^2g^4+15B^2CHacdg^3+5B^2DHabf^2g^2+4B^2DHb^2dfg^2-2B^2DHb^2f^3g+7B^2DHbc^2fg^2+2B^2DHbcf^4-6B^2DHbcdf^2g+3B^2DHbd^3fg-B^2DHbd^2f^3-7B^2DHa^2fg^3-3B^2DHacf^3g+11B^2DHacdfg^2-3B^2DHad^2f^2g+B^2DHadf^4-B^2DHabdg^3-7B^2DHb^2cg^3-3B^2DHbcd^2g^2-6B^2DHac^2g^3+7B^2FHabdfg^2-8B^2FHabf^3g+3B^2FHb^2f^4+B^2FHb^2cfg^2-9B^2FHb^2df^2g+3B^2FHbc^2f^2g-3B^2FHbcdf^3+6B^2FHbcd^2fg+B^2FHbd^3f^2+9B^2FHa^2f^2g^2+2B^2FHac^2fg^2+2B^2FHacf^4-3B^2FHacdf^2g-B^2FHad^2f^3+5B^2FHabcg^3-4B^2FHb^3g^3+8B^2FHb^2d^2g^2-7B^2FHbc^2dg^2-2B^2FHbd^4g-4B^2FHa^2dg^3-2B^2FHacd^2g^2+2B^2FHad^3fg+7B^2GHabf^4-17B^2GHabcfg^2-8B^2GHabdf^2g-11B^2GHb^3fg^2-4B^2GHb^2df^3+13B^2GHb^2cf^2g+3B^2GHb^2d^2fg-2B^2GHbc^2f^3-7B^2GHbc^2dfg+4B^2GHbcd^2f^2-B^2GHbd^4f+17B^2GHa^2dfg^2-11B^2GHa^2f^3g+7B^2GHac^2f^2g-3B^2GHacdf^3-2B^2GHacd^2fg+B^2GHad^3f^2+19B^2GHab^2g^3-B^2GHabd^2g^2-2B^2GHb^2cdg^2+3B^2GHbc^3g^2+B^2GHbcd^3g-B^2GHa^2cg^3+B^2GHac^2dg^2-9B^2H^2abdf^3-17B^2H^2abcdg^2+13B^2H^2abd^2fg+5B^2H^2b^3dg^2+5B^2H^2b^2d^2f^2-5B^2H^2b^2cdfg-5B^2H^2b^2d^3g+5B^2H^2bc^2df^2+5B^2H^2bc^2d^2g-5B^2H^2bcd^3f+B^2H^2bd^5+21B^2H^2a^2bg^3+23B^2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^2g^2-5BF^2Gabd^2fg^2+15BF^2Gab^2fg^3-2BF^2Gabcdg^3-3BF^2Gb^3f^2g^2-2BF^2Gb^3dg^3+3BF^2Gb^2cdfg^2+BF^2Gb^2c^2g^3-BF^2Gbc^3fg^2+5BF^2Ga^2df^2g^2-11BF^2Ga^2cfg^3+3BF^2Ga^2d^2g^3+BF^2Gac^2dfg^2-11BG^3a^2bf^2g^2-2BG^3a^2bdg^3-7BG^3abcd^2g^2+13BG^3ab^2dfg^2+3BG^3abc^2fg^2-7BG^3ab^2cg^3+4BG^3b^4g^3-2BG^3b^3d^2g^2-4BG^3b^3cfg^2+4BG^3b^2c^2dg^2-BG^3bc^4g^2+11BG^3a^3fg^3+3BG^3a^2d^3g^2-2BG^3a^2cdfg^2-BG^3a^2c^2g^3+BG^3ac^3dg^2+23BFG^2a^2bfg^3+5BFG^2abd^3g^2-8BFG^2ab^2f^2g^2-12BFG^2ab^2dg^3-BFG^2abc^2g^3+5BFG^2b^3dfg^2+BFG^2b^3cg^3-3BFG^2b^2cd^2g^2-BFG^2b^2c^2fg^2+BFG^2bc^3dg^2-15BFG^2a^3g^4+4BFG^2a^2cf^2g^2-8BFG^2a^2d^2fg^2+10BFG^2a^2cdg^3-BFG^2ac^2d^2g^2+C^3Gb^2f^3g^2+3C^3Gb^2cg^4-3C^3Gb^2dfg^3-C^3Ga^2fg^4-6C^3Gac^2g^4-2C^3Gacf^3g^2+6C^3Gacdfg^3+C^2DGabf^3g^2+11C^2DGabcg^4-3C^2DGabdfg^3-4C^2DGb^3g^4-C^2DGb^2df^2g^2+C^2DGb^2cfg^3+2C^2DGb^2d^2g^3+4C^2DGa^2dg^4-C^2DGa^2f^2g^3-2C^2DGac^2fg^3+2C^2DGacdf^2g^2-4C^2DGacd^2g^3-5C^2FGab^2g^4-10C^2FGabcfg^3+5C^2FGb^3fg^3+C^2FGb^2d^2fg^2-2C^2FGb^2cf^2g^2-C^2FGb^2cdg^3-4C^2FGa^2f^3g^2+C^2FGa^2cg^4+11C^2FGa^2dfg^3+4C^2FGac^2f^2g^2+2C^2FGac^2dg^3-2C^2FGacd^2fg^2+4C^2G^2a^2bg^4+6C^2G^2abcf^2g^2+3C^2G^2ab^2fg^3-6C^2G^2abcdg^3-3C^2G^2b^3f^2g^2+3C^2G^2b^3dg^3-C^2G^2b^2d^3g^2+3C^2G^2b^2cdfg^2-3C^2G^2b^2c^2g^3+C^2G^2a^2df^2g^2-7C^2G^2a^2cfg^3-2C^2G^2a^2d^2g^3+6C^2G^2ac^3g^3-6C^2G^2ac^2dfg^2+2C^2G^2acd^3g^2-CD^2Gabdf^2g^2+CD^2Gab^2g^4+3CD^2Gabcfg^3+2CD^2Gabd^2g^3-CD^2Gb^3fg^3+CD^2Gb^2cf^2g^2-2CD^2Gb^2cdg^3+4CD^2Ga^2f^3g^2-4CD^2Ga^2cg^4-11CD^2Ga^2dfg^3-2CD^2Gac^2f^2g^2+4CD^2Gac^2dg^3-9CDFGa^2bg^4-8CDFGabcf^2g^2+CDFGabd^2fg^2+7CDFGabcdg^3+3CDFGb^3f^2g^2-4CDFGb^3dg^3-CDFGb^2cdfg^2+3CDFGb^2c^2g^3+2CDFGa^2df^2g^2+18CDFGa^2cfg^3-2CDFGab^2fg^3-6CDFGac^3g^3+2CDFGac^2dfg^2-6CDFGa^2d^2g^3+10CDG^2a^2bfg^3-CDG^2abd^3g^2+CDG^2ab^2f^2g^2+5CDG^2abcdfg^2-4CDG^2ab^2dg^3-13CDG^2abc^2g^3-CDG^2b^3dfg^2+5CDG^2b^3cg^3+CDG^2b^2cd^2g^2-2CDG^2b^2c^2fg^2-15CDG^2a^3g^4-12CDG^2a^2cf^2g^2+CDG^2a^2d^2fg^2+17CDG^2a^2cdg^3+4CDG^2ac^3fg^2-2CDG^2ac^2d^2g^2-12CF^2Ga^2bfg^3+2CF^2Gab^2f^2g^2+4CF^2Gabcdfg^2+3CF^2Gab^2dg^3-2CF^2Gb^3dfg^2-CF^2Gb^3cg^3+CF^2Gb^2c^2fg^2+10CF^2Ga^3g^4+2CF^2Ga^2cf^2g^2-3CF^2Ga^2d^2fg^2-4CF^2Ga^2cdg^3+2CF^2Gabc^2g^3-2CF^2Gac^3fg^2+CG^3a^2bdfg^2+CG^3a^2bcg^3+6CG^3abc^2dg^2+3CG^3ab^2d^2g^2-9CG^3ab^2cfg^2-3CG^3ab^3g^3+3CG^3b^4fg^2-3CG^3b^3cdg^2+CG^3b^2c^3g^2-4CG^3a^3f^2g^2+7CG^3a^3dg^3-7CG^3a^2cd^2g^2+8CG^3a^2c^2fg^2-2CG^3ac^4g^2+6CFG^2a^2bf^2g^2-5CFG^2a^2bdg^3-4CFG^2abcd^2g^2-5CFG^2ab^2dfg^2+15CFG^2ab^2cg^3-4CFG^2b^4g^3+2CFG^2b^3d^2g^2+CFG^2b^3cfg^2-CFG^2b^2c^2dg^2-2CFG^2a^3fg^3+3CFG^2a^2d^3g^2+2CFG^2a^2cdfg^2-8CFG^2a^2c^2g^3-2CFG^2abc^2fg^2+2CFG^2ac^3dg^2+D^3Ga^2bg^4+3D^3Gabcf^2g^2-6D^3Gabcdg^3-D^3Gb^3f^2g^2+2D^3Gb^3dg^3-3D^3Ga^2df^2g^2+6D^3Ga^2d^2g^3-D^2FGa^2bfg^3-D^2FGab^2f^2g^2-3D^2FGabcdfg^2+9D^2FGabc^2g^3+D^2FGb^3dfg^2-3D^2FGb^3cg^3+10D^2FGa^3g^4+2D^2FGa^2cf^2g^2+3D^2FGa^2d^2fg^2-13D^2FGa^2cdg^3+2D^2FGab^2dg^3+D^2G^2a^2bf^2g^2-8D^2G^2a^2bdg^3+3D^2G^2abcd^2g^2-6D^2G^2abc^2fg^2+6D^2G^2ab^2cg^3-2D^2G^2b^4g^3-D^2G^2b^3d^2g^2+2D^2G^2b^3cfg^2-D^2G^2a^3fg^3-3D^2G^2a^2d^3g^2+6D^2G^2a^2cdfg^2-DF^2Ga^2bf^2g^2+15DF^2Ga^2bdg^3+DF^2Gab^2dfg^2+3DF^2Gabc^2fg^2-15DF^2Gab^2cg^3+4DF^2Gb^4g^3-DF^2Gb^3cfg^2-7DF^2Ga^3fg^3-5DF^2Ga^2cdfg^2+6DF^2Ga^2c^2g^3+7DG^3a^2bd^2g^2+4DG^3a^2bcfg^2+2DG^3a^2b^2g^3+3DG^3abc^3g^2-6DG^3ab^2cdg^2-2DG^3ab^3fg^2+2DG^3b^4dg^2-DG^3b^3c^2g^2-7DG^3a^3dfg^2+3DG^3a^3cg^3-3DG^3a^2c^2dg^2-10DFG^2a^2bdfg^2-8DFG^2a^2bcg^3-3DFG^2abc^2dg^2-DFG^2ab^2d^2g^2+11DFG^2ab^2cfg^2+3DFG^2ab^3g^3-3DFG^2b^4fg^2+DFG^2b^3cdg^2+8DFG^2a^3f^2g^2+DFG^2a^3dg^3+5DFG^2a^2cd^2g^2-4DFG^2a^2c^2fg^2+4F^3Ga^2bdfg^2+3F^3Ga^2bcg^3-4F^3Gab^2cfg^2-F^3Gab^3g^3+F^3Gb^4fg^2-4F^3Ga^3f^2g^2-3F^3Ga^3dg^3+2F^3Ga^2c^2fg^2+5G^4a^3bfg^2-5G^4a^2bc^2g^2-5G^4a^2b^2dg^2+5G^4ab^3cg^2-G^4b^5g^2-5G^4a^4g^3+5G^4a^3cdg^2-FG^3a^3bg^3+7FG^3a^2bcdg^2+FG^3a^2b^2fg^2-4FG^3ab^2c^2g^2-FG^3ab^3dg^2+FG^3b^4cg^2-3FG^3a^3d^2g^2-6FG^3a^3cfg^2+2FG^3a^2c^3g^2-4F^2G^2a^2bd^2g^2-3F^2G^2a^2bcfg^2-F^2G^2a^2b^2g^3+4F^2G^2ab^2cdg^2+F^2G^2ab^3fg^2-F^2G^2b^4dg^2+7F^2G^2a^3dfg^2+2F^2G^2a^3cg^3-2F^2G^2a^2c^2dg^2-5B^3Hb^2fg^4+5B^3Hbcf^2g^3+5B^3Hbd^2fg^3-5B^3Hbdf^3g^2+B^3Hbf^5g+9B^3Habg^5-5B^3Hbcdg^4-4B^3Hacfg^4-2B^3Had^2g^4+4B^3Hadf^2g^3-B^3Haf^4g^2-18B^2CHabfg^4-B^2CHb^2f^2g^3+B^2CHbcf^3g^2-7B^2CHbcdfg^3+4B^2CHbd^2f^2g^2-B^2CHbdf^4g+19B^2CHacf^2g^3+17B^2CHad^2fg^3-19B^2CHadf^3g^2+4B^2CHaf^5g+6B^2CHb^2dg^4+3B^2CHbc^2g^4-2B^2CHbd^3g^3+15B^2CHa^2g^5-15B^2CHacdg^4-5B^2DHabf^2g^3-4B^2DHb^2dfg^3+2B^2DHb^2f^3g^2-7B^2DHbc^2fg^3-2B^2DHbcf^4g+6B^2DHbcdf^2g^2-3B^2DHbd^3fg^2+B^2DHbd^2f^3g+7B^2DHa^2fg^4+3B^2DHacf^3g^2-11B^2DHacdfg^3+3B^2DHad^2f^2g^2-B^2DHadf^4g+B^2DHabdg^4+7B^2DHb^2cg^4+3B^2DHbcd^2g^3+6B^2DHac^2g^4-7B^2FHabdfg^3+8B^2FHabf^3g^2-3B^2FHb^2f^4g-B^2FHb^2cfg^3+9B^2FHb^2df^2g^2-3B^2FHbc^2f^2g^2+3B^2FHbcdf^3g-6B^2FHbcd^2fg^2-B^2FHbd^3f^2g-9B^2FHa^2f^2g^3-2B^2FHac^2fg^3-2B^2FHacf^4g+3B^2FHacdf^2g^2+B^2FHad^2f^3g-5B^2FHabcg^4+4B^2FHb^3g^4-8B^2FHb^2d^2g^3+7B^2FHbc^2dg^3+2B^2FHbd^4g^2+4B^2FHa^2dg^4+2B^2FHacd^2g^3-2B^2FHad^3fg^2-7B^2GHabf^4g+17B^2GHabcfg^3+8B^2GHabdf^2g^2+11B^2G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