of ax^3+bx^2+cx+d=0
in Ax+B=0
-A^3d+A^2Bc-AB^2b+B^3a
in Ax^2+Bx+C=0
A^3d^2
+A^2(Cc^2-2Cbd-Bcd)
+A(-BCbc-2C^2ac+3BCad+C^2b^2+B^2bd)
+a(C^3a-BC^2b+B^2Cc-B^3d)
in Ax^3+Bx^2+Cx+D=0
-A^3d^3
+A^2(Bcd^2-Cc^2d+2Cbd^2+3Dad^2-3Dbcd+Dc^3)
+A(-C^2b^2d-3D^2a^2d+BCbcd+BDacd-BDbc^2-2CDac^2-CDabd+CDb^2c+3D^2abc-B^2bd^2-3BCad^2+2BDb^2d+2C^2acd-D^2b^3)
+a(D^3a^2-CD^2ab+C^2Dac-C^3ad+B^3d^2+B^2Dc^2-2B^2Dbd-B^2Ccd-BCDbc-2BD^2ac+3BCDad+BD^2b^2+BC^2bd)
in Ax^4+Bx^3+Cx^2+Dx+F=0
A^3d^4
+A^2(-Bcd^3+Cc^2d^2-Dc^3d-2Cbd^3+3Dbcd^2-3Dad^3+Fc^4-4Fbc^2d+2Fb^2d^2+4Facd^2)
+A(B^2bd^3-BCbcd^2+C^2b^2d^2+BDbc^2d-CDb^2cd+D^2b^3d+3BCad^3-2C^2acd^2-BDacd^2+CDabd^2-2BDb^2d^2+2CDac^2d-3D^2abcd+3D^2a^2d^2-BFbc^3+CFb^2c^2-DFb^3c+F^2b^4+3BFb^2cd+BFac^2d-5BFabd^2-2CFb^3d-3CFa^2d^2-2CFac^3+4CFabcd+DFab^2d+3DFabc^2-5DFa^2cd-4F^2ab^2c+2F^2a^2c^2+4F^2a^2bd)
+a(-B^3d^3+B^2Ccd^2-B^2Dc^2d+2B^2Dbd^2+3B^2Fad^2-3B^2Fbcd+B^2Fc^3-BC^2bd^2+BCDbcd-3BCDad^2-BCFbc^2+BCFacd+2BCFb^2d-BD^2b^2d+2BD^2acd+BDFb^2c-BDFabd-2BDFac^2-3BF^2a^2d+3BF^2abc-BF^2b^3+C^3ad^2-C^2Dacd+C^2Fac^2-2C^2Fabd+CD^2abd-CDFabc+3CDFa^2d+CF^2ab^2-2CF^2a^2c-D^3a^2d+D^2Fa^2c-DF^2a^2b+F^3a^3)
in Ax^5+Bx^4+Cx^3+Dx^2+Fx+G=0
-A^3d^5
+A^2(Bcd^4-Cc^2d^3+Dc^3d^2+2Cbd^4-3Dbcd^3+3Dad^4-Fc^4d+4Fbc^2d^2-2Fb^2d^3-4Facd^3+Gc^5+5Gac^2d^2+5Gb^2cd^2-5Gbc^3d-5Gabd^3)
+A(-B^2bd^4+BCbcd^3-C^2b^2d^3-BDbc^2d^2+CDb^2cd^2-D^2b^3d^2-3BCad^4+2C^2acd^3+BDacd^3-CDabd^3+2BDb^2d^3-2CDac^2d^2+3D^2abcd^2-3D^2a^2d^3+BFbc^3d-CFb^2c^2d+DFb^3cd-F^2b^4d-3BFb^2cd^2-BFac^2d^2+5BFabd^3+2CFb^3d^2+3CFa^2d^3+2CFac^3d-4CFabcd^2-DFab^2d^2-3DFabc^2d+5DFa^2cd^2+4F^2ab^2cd-2F^2a^2c^2d-4F^2a^2bd^2-BGbc^4+CGb^2c^3-DGb^3c^2+FGb^4c-G^2b^5-2BGb^3d^2+3BGa^2d^3+4BGb^2c^2d+BGac^3d-7BGabcd^2-2CGac^4-3CGb^3cd-7CGa^2cd^2+3CGab^2d^2+6CGabc^2d+2DGb^4d+3DGabc^3+7DGa^2bd^2-3DGa^2c^2d-6DGab^2cd+2FGa^2c^3-3FGa^3d^2-4FGab^2c^2-FGab^3d+7FGa^2bcd-5G^2a^2b^2d-5G^2a^2bc^2+5G^2ab^3c+5G^2a^3cd)
+a(B^3d^4-B^2Ccd^3+B^2Dc^2d^2-2B^2Dbd^3-B^2Fc^3d+3B^2Fbcd^2-3B^2Fad^3+B^2Gc^4-4B^2Gbc^2d+2B^2Gb^2d^2+4B^2Gacd^2+BC^2bd^3-BCDbcd^2+3BCDad^3+BCFbc^2d-BCFacd^2-2BCFb^2d^2-BCGbc^3+3BCGb^2cd+BCGac^2d-5BCGabd^2+BD^2b^2d^2-2BD^2acd^2-BDFb^2cd+BDFabd^2+2BDFac^2d+BDGb^2c^2-2BDGb^3d-3BDGa^2d^2-2BDGac^3+4BDGabcd+BF^2b^3d-3BF^2abcd+3BF^2a^2d^2-BFGb^3c+BG^2b^4+BFGab^2d+3BFGabc^2-5BFGa^2cd-4BG^2ab^2c+2BG^2a^2c^2+4BG^2a^2bd-C^3ad^3+C^2Dacd^2-C^2Fac^2d+2C^2Fabd^2+3C^2Ga^2d^2-3C^2Gabcd+C^2Gac^3-CD^2abd^2+CDFabcd-3CDFa^2d^2-CDGabc^2+CDGa^2cd+2CDGab^2d-CF^2ab^2d+2CF^2a^2cd+CFGab^2c-CFGa^2bd-2CFGa^2c^2-3CG^2a^3d+3CG^2a^2bc-CG^2ab^3+D^3a^2d^2-D^2Fa^2cd+D^2Ga^2c^2-2D^2Ga^2bd+DF^2a^2bd-DFGa^2bc+3DFGa^3d+DG^2a^2b^2-2DG^2a^3c-F^3a^3d+F^2Ga^3c-FG^2a^3b+G^3a^4)
in Ax^6+Bx^5+Cx^4+Dx^3+Fx^2+Gx+H=0
A^3d^6
+A^2(-Bcd^5+Cc^2d^4-Dc^3d^3-2Cbd^5+3Dbcd^4-3Dad^5+Fc^4d^2-4Fbc^2d^3+2Fb^2d^4+4Facd^4-Gc^5d-5Gac^2d^3-5Gb^2cd^3+5Gbc^3d^2+5Gabd^4+Hc^6-2Hb^3d^3+3Ha^2d^4+9Hb^2c^2d^2+6Hac^3d^2-6Hbc^4d-12Habcd^3)
+A(B^2bd^5-BCbcd^4+C^2b^2d^4+BDbc^2d^3-CDb^2cd^3+D^2b^3d^3+3BCad^5-2C^2acd^4-BDacd^4+CDabd^4-2BDb^2d^4+2CDac^2d^3-3D^2abcd^3+3D^2a^2d^4-BFbc^3d^2+CFb^2c^2d^2-DFb^3cd^2+F^2b^4d^2+3BFb^2cd^3+BFac^2d^3-5BFabd^4-2CFb^3d^3-3CFa^2d^4-2CFac^3d^2+4CFabcd^3+DFab^2d^3+3DFabc^2d^2-5DFa^2cd^3-4F^2ab^2cd^2+2F^2a^2c^2d^2+4F^2a^2bd^3+BGbc^4d-CGb^2c^3d+DGb^3c^2d-FGb^4cd+G^2b^5d+2BGb^3d^3-3BGa^2d^4-4BGb^2c^2d^2-BGac^3d^2+7BGabcd^3+2CGac^4d+3CGb^3cd^2+7CGa^2cd^3-3CGab^2d^3-6CGabc^2d^2-2DGb^4d^2-3DGabc^3d-7DGa^2bd^3+3DGa^2c^2d^2+6DGab^2cd^2-2FGa^2c^3d+3FGa^3d^3+4FGab^2c^2d+FGab^3d^2-7FGa^2bcd^2+5G^2a^2b^2d^2+5G^2a^2bc^2d-5G^2ab^3cd-5G^2a^3cd^2-BHbc^5+4BHa^2cd^3+7BHab^2d^3-5BHb^3cd^2+5BHb^2c^3d+BHac^4d-9BHabc^2d^2+CHb^2c^4+2CHb^4d^2-2CHac^5+2CHa^2bd^3-4CHb^3c^2d-9CHa^2c^2d^2+8CHabc^3d-DHb^3c^3-9DHab^2c^2d+3DHabc^4-6DHa^3d^3+3DHb^4cd-3DHa^2c^3d+18DHa^2bcd^2-3DHab^3d^2+FHb^4c^2+2FHa^2c^4-2FHb^5d+2FHa^3cd^2-4FHab^2c^3-9FHa^2b^2d^2+8FHab^3cd-GHb^5c+4GHa^3bd^2+7GHa^3c^2d-5GHa^2bc^3+5GHab^3c^2+GHab^4d-9GHa^2b^2cd+H^2b^6-2H^2a^3c^3+3H^2a^4d^2+9H^2a^2b^2c^2+6H^2a^2b^3d-6H^2ab^4c-12H^2a^3bcd)
+a(-B^3d^5+B^2Ccd^4-B^2Dc^2d^3+B^2Fc^3d^2+2B^2Dbd^4-3B^2Fbcd^3+3B^2Fad^4-B^2Gc^4d+4B^2Gbc^2d^2-2B^2Gb^2d^3-4B^2Gacd^3-BC^2bd^4+BCDbcd^3-BD^2b^2d^3-BCFbc^2d^2+BDFb^2cd^2-BF^2b^3d^2-3BCDad^4+2BD^2acd^3+BCFacd^3-BDFabd^3+2BCFb^2d^3-2BDFac^2d^2+3BF^2abcd^2-3BF^2a^2d^3+BCGbc^3d-BDGb^2c^2d+BFGb^3cd-BG^2b^4d-3BCGb^2cd^2-BCGac^2d^2+5BCGabd^3+2BDGb^3d^2+3BDGa^2d^3+2BDGac^3d-4BDGabcd^2-BFGab^2d^2-3BFGabc^2d+5BFGa^2cd^2+4BG^2ab^2cd-2BG^2a^2c^2d-4BG^2a^2bd^2+B^2Hc^5-BCHbc^4+BDHb^2c^3-BFHb^3c^2+BGHb^4c-BH^2b^5+5B^2Hac^2d^2+5B^2Hb^2cd^2-5B^2Hbc^3d-5B^2Habd^3-2BCHb^3d^2+3BCHa^2d^3+4BCHb^2c^2d+BCHac^3d-7BCHabcd^2-2BDHac^4-3BDHb^3cd-7BDHa^2cd^2+3BDHab^2d^2+6BDHabc^2d+2BFHb^4d+3BFHabc^3+7BFHa^2bd^2-3BFHa^2c^2d-6BFHab^2cd+2BGHa^2c^3-3BGHa^3d^2-4BGHab^2c^2-BGHab^3d+7BGHa^2bcd-5BH^2a^2b^2d-5BH^2a^2bc^2+5BH^2ab^3c+5BH^2a^3cd+C^3ad^4-C^2Dacd^3+C^2Fac^2d^2-2C^2Fabd^3-C^2Gac^3d+3C^2Gabcd^2-3C^2Ga^2d^3+C^2Hac^4-4C^2Habc^2d+2C^2Hab^2d^2+4C^2Ha^2cd^2+CD^2abd^3-CDFabcd^2+3CDFa^2d^3+CDGabc^2d-CDGa^2cd^2-2CDGab^2d^2-CDHabc^3+3CDHab^2cd+CDHa^2c^2d-5CDHa^2bd^2+CF^2ab^2d^2-2CF^2a^2cd^2-CFGab^2cd+CFGa^2bd^2+2CFGa^2c^2d+CFHab^2c^2-2CFHab^3d-3CFHa^3d^2-2CFHa^2c^3+4CFHa^2bcd+CG^2ab^3d-3CG^2a^2bcd+3CG^2a^3d^2-CGHab^3c+CH^2ab^4+CGHa^2b^2d+3CGHa^2bc^2-5CGHa^3cd-4CH^2a^2b^2c+2CH^2a^3c^2+4CH^2a^3bd-D^3a^2d^3+D^2Fa^2cd^2-D^2Ga^2c^2d+2D^2Ga^2bd^2+3D^2Ha^3d^2-3D^2Ha^2bcd+D^2Ha^2c^3-DF^2a^2bd^2+DFGa^2bcd-3DFGa^3d^2-DFHa^2bc^2+DFHa^3cd+2DFHa^2b^2d-DG^2a^2b^2d+2DG^2a^3cd+DGHa^2b^2c-DGHa^3bd-2DGHa^3c^2-3DH^2a^4d+3DH^2a^3bc-DH^2a^2b^3+F^3a^3d^2-F^2Ga^3cd+F^2Ha^3c^2-2F^2Ha^3bd+FG^2a^3bd-FGHa^3bc+3FGHa^4d+FH^2a^3b^2-2FH^2a^4c-G^3a^4d+G^2Ha^4c-GH^2a^4b+H^3a^5)
in Ax^7+Bx^6+Cx^5+Dx^4+Fx^3+Gx^2+Hx+J=0
-A^3d^7
+A^2(-3Ha^2d^5+7Ja^2cd^4-5Gabd^5+12Habcd^4+7Jab^2d^4-21Jabc^2d^3+3Dad^6+5Gac^2d^4-4Facd^5-6Hac^3d^3+7Jac^4d^2-2Fb^2d^5+5Gb^2cd^4-9Hb^2c^2d^3+2Hb^3d^4-7Jb^3cd^3+14Jb^2c^3d^2+2Cbd^6-3Dbcd^5+4Fbc^2d^4-5Gbc^3d^3+6Hbc^4d^2-7Jbc^5d-Cc^2d^5+Bcd^6+Dc^3d^4+Gc^5d^2-Fc^4d^3-Hc^6d+Jc^7)
+A(-3H^2a^4d^3-7J^2a^4c^2d-5G^2a^2b^2d^3-9H^2a^2b^2c^2d-7J^2a^2b^4d-3D^2a^2d^5-2F^2a^2c^2d^3-F^2b^4d^3-H^2b^6d-C^2b^2d^5+8HJa^4cd^2-4GHa^3bd^3+12H^2a^3bcd^2-5HJa^3b^2d^2-17HJa^3bc^2d+6DHa^3d^4-7GHa^3c^2d^2-2FHa^3cd^3+2H^2a^3c^3d-2HJa^3c^4+9FHa^2b^2d^3+9GHa^2b^2cd^2-6H^2a^2b^3d^2+11HJa^2b^3cd+9HJa^2b^2c^3-2CHa^2bd^4-18DHa^2bcd^3+5GHa^2bc^3d+9CHa^2c^2d^3-4BHa^2cd^4+3DHa^2c^3d^2-2FHa^2c^4d-13GJa^3bcd^2+21J^2a^3b^2cd+7J^2a^3bc^3-11DJa^3cd^3+5GJa^3c^3d+6FJa^3c^2d^2-24FJa^2b^2cd^2+5GJa^2b^2c^2d-14J^2a^2b^3c^2+13CJa^2bcd^3+24DJa^2bc^2d^2-2FJa^2bc^3d-5GJa^2bc^4-11CJa^2c^3d^2+5BJa^2c^2d^3-3DJa^2c^4d+2FJa^2c^5+11GJa^2b^3d^2+7DGa^2bd^4-5G^2a^2bc^2d^2+7FGa^2bcd^3-FGab^3d^3+5G^2ab^3cd^2-5GHab^3c^2d-GHab^4d^2-10GJab^4cd+5GJab^3c^3+3CGab^2d^4-6DGab^2cd^3-4FGab^2c^2d^2+6CGabc^2d^3-7BGabcd^4+3DGabc^3d^2-8FHab^3cd^2+6H^2ab^4cd-6HJab^4c^2+9DHab^2c^2d^2+4FHab^2c^3d-8CHabc^3d^2+9BHabc^2d^3-3DHabc^4d-6DJa^2b^2d^3+3FJab^4d^2-HJab^5d+7J^2ab^5c-5CJab^3d^3+2DJab^3cd^2+12FJab^3c^2d-5CJab^2c^2d^2+17BJab^2cd^3-12DJab^2c^3d-4FJab^2c^4+10CJabc^4d-11BJabc^3d^2+3DJabc^5-3DGa^2c^2d^3+5DFa^2cd^4-DFab^2d^4+3DHab^3d^3-CDabd^5+3D^2abcd^4-3DFabc^2d^3-2CDac^2d^4+BDacd^5+2FGa^2c^3d^2-2CGac^4d^2+BGac^3d^3+4F^2ab^2cd^3-4CFabcd^4+2CFac^3d^3-BFac^2d^4+2CHac^5d-BHac^4d^2-2CJac^6+BJac^5d+FGb^4cd^2-FHb^4c^2d+2FHb^5d^2-3FJb^5cd+FJb^4c^3+2CFb^3d^4+DFb^3cd^3-CFb^2c^2d^3-3BFb^2cd^4+GHb^5cd-GJb^5c^2-3CGb^3cd^3-DGb^3c^2d^2+CGb^2c^3d^2+4BGb^2c^2d^3+4CHb^3c^2d^2+DHb^3c^3d-CHb^2c^4d-5BHb^2c^3d^2+HJb^6c-2CHb^4d^3-3DHb^4cd^2+5BHb^3cd^3+5CJb^4cd^2+4DJb^4c^2d-5CJb^3c^3d-9BJb^3c^2d^2-DJb^3c^4+CJb^2c^5+6BJb^2c^4d+CDb^2cd^4+BCbcd^5-BDbc^2d^4+BFbc^3d^3-BGbc^4d^2+BHbc^5d-BJbc^6-7J^2a^4bd^2+3GJa^4d^3+5G^2a^3cd^3-3CJa^3d^4+11FJa^3bd^3-3FGa^3d^4-8BJa^2bd^4+3BGa^2d^5+3CFa^2d^5-7CGa^2cd^4-4F^2a^2bd^4+2C^2acd^5-7BHab^2d^4+5BFabd^5-3BCad^6-D^2b^3d^4-G^2b^5d^2-J^2b^7+2GJb^6d+2BJb^4d^3-2BGb^3d^4-2DJb^5d^2+2DGb^4d^3+2BDb^2d^5-B^2bd^6)
+a(B^3d^6-B^2Ccd^5+B^2Dc^2d^4-B^2Fc^3d^3-2B^2Dbd^5+3B^2Fbcd^4-3B^2Fad^5+B^2Gc^4d^2-4B^2Gbc^2d^3+2B^2Gb^2d^4+4B^2Gacd^4-B^2Hc^5d-5B^2Hac^2d^3-5B^2Hb^2cd^3+5B^2Hbc^3d^2+5B^2Habd^4+BC^2bd^5-BCDbcd^4+BD^2b^2d^4+BCFbc^2d^3-BDFb^2cd^3+BF^2b^3d^3+3BCDad^5-2BD^2acd^4-BCFacd^4+BDFabd^4-2BCFb^2d^4+2BDFac^2d^3-3BF^2abcd^3+3BF^2a^2d^4-BCGbc^3d^2+BDGb^2c^2d^2-BFGb^3cd^2+BG^2b^4d^2+3BCGb^2cd^3+BCGac^2d^3-5BCGabd^4-2BDGb^3d^3-3BDGa^2d^4-2BDGac^3d^2+4BDGabcd^3+BFGab^2d^3+3BFGabc^2d^2-5BFGa^2cd^3-4BG^2ab^2cd^2+2BG^2a^2c^2d^2+4BG^2a^2bd^3+BCHbc^4d-BDHb^2c^3d+BFHb^3c^2d-BGHb^4cd+BH^2b^5d+2BCHb^3d^3-3BCHa^2d^4-4BCHb^2c^2d^2-BCHac^3d^2+7BCHabcd^3+2BDHac^4d+3BDHb^3cd^2+7BDHa^2cd^3-3BDHab^2d^3-6BDHabc^2d^2-2BFHb^4d^2-3BFHabc^3d-7BFHa^2bd^3+3BFHa^2c^2d^2+6BFHab^2cd^2-2BGHa^2c^3d+3BGHa^3d^3+4BGHab^2c^2d+BGHab^3d^2-7BGHa^2bcd^2+5BH^2a^2b^2d^2+5BH^2a^2bc^2d-5BH^2ab^3cd-5BH^2a^3cd^2+B^2Jc^6-2B^2Jb^3d^3+3B^2Ja^2d^4+9B^2Jb^2c^2d^2+6B^2Jac^3d^2-6B^2Jbc^4d-12B^2Jabcd^3-BCJbc^5+4BCJa^2cd^3+7BCJab^2d^3-5BCJb^3cd^2+5BCJb^2c^3d+BCJac^4d-9BCJabc^2d^2+BDJb^2c^4+2BDJb^4d^2-2BDJac^5+2BDJa^2bd^3-4BDJb^3c^2d-9BDJa^2c^2d^2+8BDJabc^3d-BFJb^3c^3-9BFJab^2c^2d+3BFJabc^4-6BFJa^3d^3+3BFJb^4cd-3BFJa^2c^3d+18BFJa^2bcd^2-3BFJab^3d^2+BGJb^4c^2+2BGJa^2c^4-2BGJb^5d+2BGJa^3cd^2-4BGJab^2c^3-9BGJa^2b^2d^2+8BGJab^3cd-BHJb^5c+4BHJa^3bd^2+7BHJa^3c^2d-5BHJa^2bc^3+5BHJab^3c^2+BHJab^4d-9BHJa^2b^2cd+BJ^2b^6-2BJ^2a^3c^3+3BJ^2a^4d^2+9BJ^2a^2b^2c^2+6BJ^2a^2b^3d-6BJ^2ab^4c-12BJ^2a^3bcd-C^3ad^5+C^2Dacd^4-C^2Fac^2d^3+C^2Gac^3d^2+2C^2Fabd^4-3C^2Gabcd^3+3C^2Ga^2d^4-C^2Hac^4d+4C^2Habc^2d^2-2C^2Hab^2d^3-4C^2Ha^2cd^3-CD^2abd^4+CDFabcd^3-CF^2ab^2d^3-CDGabc^2d^2+CFGab^2cd^2-CG^2ab^3d^2-3CDFa^2d^4+2CF^2a^2cd^3+CDGa^2cd^3-CFGa^2bd^3+2CDGab^2d^3-2CFGa^2c^2d^2+3CG^2a^2bcd^2-3CG^2a^3d^3+CDHabc^3d-CFHab^2c^2d+CGHab^3cd-CH^2ab^4d-3CDHab^2cd^2-CDHa^2c^2d^2+5CDHa^2bd^3+2CFHab^3d^2+3CFHa^3d^3+2CFHa^2c^3d-4CFHa^2bcd^2-CGHa^2b^2d^2-3CGHa^2bc^2d+5CGHa^3cd^2+4CH^2a^2b^2cd-2CH^2a^3c^2d-4CH^2a^3bd^2+C^2Jac^5-CDJabc^4+CFJab^2c^3-CGJab^3c^2+CHJab^4c-CJ^2ab^5+5C^2Ja^2c^2d^2+5C^2Jab^2cd^2-5C^2Jabc^3d-5C^2Ja^2bd^3-2CDJab^3d^2+3CDJa^3d^3+4CDJab^2c^2d+CDJa^2c^3d-7CDJa^2bcd^2-2CFJa^2c^4-3CFJab^3cd-7CFJa^3cd^2+3CFJa^2b^2d^2+6CFJa^2bc^2d+2CGJab^4d+3CGJa^2bc^3+7CGJa^3bd^2-3CGJa^3c^2d-6CGJa^2b^2cd+2CHJa^3c^3-3CHJa^4d^2-4CHJa^2b^2c^2-CHJa^2b^3d+7CHJa^3bcd-5CJ^2a^3b^2d-5CJ^2a^3bc^2+5CJ^2a^2b^3c+5CJ^2a^4cd+D^3a^2d^4-D^2Fa^2cd^3+D^2Ga^2c^2d^2-2D^2Ga^2bd^3-D^2Ha^2c^3d+3D^2Ha^2bcd^2-3D^2Ha^3d^3+D^2Ja^2c^4-4D^2Ja^2bc^2d+2D^2Ja^2b^2d^2+4D^2Ja^3cd^2+DF^2a^2bd^3-DFGa^2bcd^2+3DFGa^3d^3+DFHa^2bc^2d-DFHa^3cd^2-2DFHa^2b^2d^2-DFJa^2bc^3+3DFJa^2b^2cd+DFJa^3c^2d-5DFJa^3bd^2+DG^2a^2b^2d^2-2DG^2a^3cd^2-DGHa^2b^2cd+DGHa^3bd^2+2DGHa^3c^2d+DGJa^2b^2c^2-2DGJa^2b^3d-3DGJa^4d^2-2DGJa^3c^3+4DGJa^3bcd+DH^2a^2b^3d-3DH^2a^3bcd+3DH^2a^4d^2-DHJa^2b^3c+DJ^2a^2b^4+DHJa^3b^2d+3DHJa^3bc^2-5DHJa^4cd-4DJ^2a^3b^2c+2DJ^2a^4c^2+4DJ^2a^4bd-F^3a^3d^3+F^2Ga^3cd^2-F^2Ha^3c^2d+2F^2Ha^3bd^2+3F^2Ja^4d^2-3F^2Ja^3bcd+F^2Ja^3c^3-FG^2a^3bd^2+FGHa^3bcd-3FGHa^4d^2-FGJa^3bc^2+FGJa^4cd+2FGJa^3b^2d-FH^2a^3b^2d+2FH^2a^4cd+FHJa^3b^2c-FHJa^4bd-2FHJa^4c^2-3FJ^2a^5d+3FJ^2a^4bc-FJ^2a^3b^3+G^3a^4d^2-G^2Ha^4cd+G^2Ja^4c^2-2G^2Ja^4bd+GH^2a^4bd-GHJa^4bc+3GHJa^5d+GJ^2a^4b^2-2GJ^2a^5c-H^3a^5d+H^2Ja^5c-HJ^2a^5b+J^3a^6)
in Ax^8+Bx^7+Cx^6+Dx^5+Fx^4+Gx^3+Hx^2+Jx+K=0
A^3d^8
+A^2(-7Ja^2cd^5+3Ha^2d^6+12Ka^2c^2d^4-8Ka^2bd^5-12Habcd^5-7Jab^2d^5+21Jabc^2d^4+5Gabd^6-32Kabc^3d^3+24Kab^2cd^4+4Facd^6-3Dad^7-5Gac^2d^5-7Jac^4d^3+6Hac^3d^4+8Kac^5d^2+7Jb^3cd^4-2Hb^3d^5+2Kb^4d^4+2Fb^2d^6-5Gb^2cd^5+9Hb^2c^2d^4-14Jb^2c^3d^3+20Kb^2c^4d^2-16Kb^3c^2d^3+3Dbcd^6-4Fbc^2d^5-2Cbd^7+5Gbc^3d^4-6Hbc^4d^3+7Jbc^5d^2-8Kbc^6d+Cc^2d^6+Fc^4d^4-Bcd^7-Dc^3d^5-Gc^5d^3-Jc^7d+Hc^6d^2+Kc^8)
+A(7J^2a^4c^2d^2+3H^2a^4d^4+2K^2a^4c^4+12K^2a^4b^2d^2+9H^2a^2b^2c^2d^2+7J^2a^2b^4d^2+5G^2a^2b^2d^4+20K^2a^2b^4c^2+2F^2a^2c^2d^4+3D^2a^2d^6+H^2b^6d^2+K^2b^8+F^2b^4d^4+C^2b^2d^6-8HJa^4cd^3-9JKa^4c^3d-19JKa^4bcd^2+17HJa^3bc^2d^2-21J^2a^3b^2cd^2-7J^2a^3bc^3d+13GJa^3bcd^3+7JKa^3bc^4+30JKa^3b^2c^2d-6FJa^3c^2d^3+11DJa^3cd^4-5GJa^3c^3d^2+2HJa^3c^4d+14J^2a^2b^3c^2d-11HJa^2b^3cd^2-13JKa^2b^4cd+24FJa^2b^2cd^3-5GJa^2b^2c^2d^2-9HJa^2b^2c^3d-14JKa^2b^3c^3-24DJa^2bc^2d^3+2FJa^2bc^3d^2-13CJa^2bcd^4+5GJa^2bc^4d+11CJa^2c^3d^3-2FJa^2c^5d-5BJa^2c^2d^4+3DJa^2c^4d^2+HKa^4c^2d^2-10HKa^4bd^3-12H^2a^3bcd^3+5HJa^3b^2d^3+4GHa^3bd^4-8HKa^3bc^3d+28HKa^3b^2cd^2+2FHa^3cd^4-6DHa^3d^5+7GHa^3c^2d^3-2H^2a^3c^3d^2-2HKa^3c^5+6H^2a^2b^3d^3-13HKa^2b^4d^2-9FHa^2b^2d^4-9GHa^2b^2cd^3+9HKa^2b^2c^4-12HKa^2b^3c^2d+18DHa^2bcd^4+2CHa^2bd^5-5GHa^2bc^3d^2-9CHa^2c^2d^4+2FHa^2c^4d^2+4BHa^2cd^5-3DHa^2c^3d^3+24K^2a^4bc^2d-30GKa^3bc^2d^2-16K^2a^3b^2c^3+8FKa^3c^3d^2-14DKa^3c^2d^3+5GKa^3c^4d-28FKa^2b^2c^2d^2+10GKa^2b^2c^3d+30DKa^2bc^3d^2-4FKa^2bc^4d+28CKa^2bc^2d^3-5GKa^2bc^5-13CKa^2c^4d^2+2FKa^2c^6+6BKa^2c^3d^3-3DKa^2c^5d+6JKa^3b^3d^2-14GKa^3b^2d^3-32K^2a^3b^3cd+16FKa^3bcd^3+13DKa^3bd^4+8K^2a^2b^5d+8FKa^2b^3d^3+30GKa^2b^3cd^2-30DKa^2b^2cd^3+CKa^2b^2d^4-19BKa^2bcd^4+6HJab^4c^2d-6H^2ab^4cd^2+12HKab^5cd+8FHab^3cd^3+5GHab^3c^2d^2-6HKab^4c^3-9DHab^2c^2d^3-4FHab^2c^3d^2+8CHabc^3d^3-9BHabc^2d^4+3DHabc^4d^2-11GJa^2b^3d^3+6DJa^2b^2d^4-7J^2ab^5cd+HJab^5d^2+JKab^6d-3FJab^4d^3+10GJab^4cd^2+7JKab^5c^2-2DJab^3cd^3-12FJab^3c^2d^2+5CJab^3d^4-5GJab^3c^3d+5CJab^2c^2d^3+4FJab^2c^4d-17BJab^2cd^4+12DJab^2c^3d^2-10CJabc^4d^2+11BJabc^3d^3-3DJabc^5d-7FGa^2bcd^4-7DGa^2bd^5+5G^2a^2bc^2d^3+GHab^4d^3-3GKab^5d^2+FGab^3d^4-5G^2ab^3cd^3+5GKab^3c^4-15GKab^4c^2d+6DGab^2cd^4+4FGab^2c^2d^3-3CGab^2d^5-6CGabc^2d^4+7BGabcd^5-3DGabc^3d^3+16FKab^3c^3d-15DKab^2c^4d-4FKab^2c^5-12CKab^2c^3d^2+12CKabc^5d-13BKabc^4d^2+3DKabc^6-8K^2ab^6c-4FKab^4cd^2+10DKab^3c^2d^2-8CKab^3cd^3+30BKab^2c^2d^3-5DFa^2cd^5-2FGa^2c^3d^3-4F^2ab^2cd^4+3DFabc^2d^4+4CFabcd^5-2CFac^3d^4+BFac^2d^5+3DGa^2c^2d^4-3DHab^3d^4+5DKab^4d^3+DFab^2d^5-3D^2abcd^5+CDabd^6+2CDac^2d^5-BDacd^6+2CGac^4d^3-BGac^3d^4+2CJac^6d-BJac^5d^2-2CHac^5d^2+BHac^4d^3-2CKac^7+BKac^6d-HJb^6cd-JKb^7c+3FJb^5cd^2+GJb^5c^2d-4DJb^4c^2d^2-FJb^4c^3d-5CJb^4cd^3+5CJb^3c^3d^2+9BJb^3c^2d^3+DJb^3c^4d-2HKb^7d-2FHb^5d^3-GHb^5cd^2+HKb^6c^2+3DHb^4cd^3+FHb^4c^2d^2+2CHb^4d^4-4CHb^3c^2d^3-5BHb^3cd^4-DHb^3c^3d^2+2FKb^6d^2+3GKb^6cd-5DKb^5cd^2-4FKb^5c^2d-2CKb^5d^3-GKb^5c^3+9CKb^4c^2d^2+FKb^4c^4+7BKb^4cd^3+5DKb^4c^3d-FGb^4cd^3-DFb^3cd^4-2CFb^3d^5+CFb^2c^2d^4+3BFb^2cd^5+DGb^3c^2d^3+3CGb^3cd^4-CGb^2c^3d^3-4BGb^2c^2d^4+CHb^2c^4d^2+5BHb^2c^3d^3-CJb^2c^5d-6BJb^2c^4d^2-DKb^3c^5-6CKb^3c^4d+CKb^2c^6+7BKb^2c^5d-14BKb^3c^3d^2-CDb^2cd^5+BDbc^2d^5-BFbc^3d^4-BCbcd^6+BGbc^4d^3-BHbc^5d^2+BJbc^6d-BKbc^7-8K^2a^5cd^2+3JKa^5d^3+13GKa^4cd^3-3FKa^4d^4+7J^2a^4bd^3-3GJa^4d^4-10CKa^3cd^4-11FJa^3bd^4+3CJa^3d^5+3BKa^3d^5+3FGa^3d^5-5G^2a^3cd^4+7CGa^2cd^5+8BJa^2bd^5+4F^2a^2bd^5-3BGa^2d^6-3CFa^2d^6-9BKab^3d^4+7BHab^2d^5-5BFabd^6-2C^2acd^6+3BCad^7-2GJb^6d^2+J^2b^7d-2BJb^4d^4-2DGb^4d^4+G^2b^5d^3+2DJb^5d^3+2BGb^3d^5+D^2b^3d^5-2BDb^2d^6+B^2bd^7)
+a(-2DJ^2a^4c^2d+5CJ^2a^3bc^2d+2BJ^2a^3c^3d-H^2Ja^5cd+H^3a^5d^2+H^2Ka^5c^2-2H^2Ka^5bd-GH^2a^4bd^2-2FH^2a^4cd^2-3DH^2a^4d^3+FH^2a^3b^2d^2+3DH^2a^3bcd^2+4CH^2a^3bd^3+2CH^2a^3c^2d^2+5BH^2a^3cd^3+HK^2a^5b^2-GK^2a^4b^3-4FK^2a^4b^2c-5DK^2a^4b^2d+FK^2a^3b^4+5DK^2a^3b^3c+6CK^2a^3b^3d+9CK^2a^3b^2c^2+21BK^2a^3b^2cd-DJ^2a^2b^4d+CJ^2ab^5d+6BJ^2ab^4cd-DG^2a^2b^2d^3+CG^2ab^3d^3+4BG^2ab^2cd^3-F^2Ja^3c^3d+F^2Ha^3c^2d^2+F^2Ka^3c^4-4F^2Ka^3bc^2d-4D^2Ja^3cd^3+3D^2Ha^3d^4+5D^2Ka^3c^2d^2-5D^2Ka^3bd^3-3D^2Ha^2bcd^3-2D^2Ja^2b^2d^3+4D^2Ja^2bc^2d^2+2D^2Ga^2bd^4-5D^2Ka^2bc^3d+5D^2Ka^2b^2cd^2+D^2Fa^2cd^4-D^3a^2d^5-D^2Ga^2c^2d^3-D^2Ja^2c^4d+D^2Ha^2c^3d^2+D^2Ka^2c^5+CD^2abd^5+2BD^2acd^5-5C^2Jab^2cd^3+2C^2Hab^2d^4+9C^2Kab^2c^2d^2-2C^2Kab^3d^3-HJKa^5bc+GHJa^4bcd+2FHJa^4c^2d+5DHJa^4cd^2-FHJa^3b^2cd-3DHJa^3bc^2d-7CHJa^3bcd^2-2CHJa^3c^3d-7BHJa^3c^2d^2+2DJKa^4c^3-5CJKa^3bc^3-2BJKa^3c^4+GJKa^4b^2c+3FJKa^4bc^2+7DJKa^4bcd-FJKa^3b^3c-4DJKa^3b^2c^2-9CJKa^3b^2cd-17BJKa^3bc^2d+4CHJa^2b^2c^2d+5BHJa^2bc^3d+4DJ^2a^3b^2cd-5CJ^2a^2b^3cd-9BJ^2a^2b^2c^2d+FGJa^3bc^2d-4DGJa^3bcd^2-DGJa^2b^2c^2d+6CGJa^2b^2cd^2-3CGJa^2bc^3d+5CJKa^2b^3c^2+9BJKa^2b^2c^3-DFJa^3c^2d^2+DFJa^2bc^3d-6CFJa^2bc^2d^2+2CFJa^2c^4d+3BFJa^2c^3d^2+2DGJa^3c^3d+DHJa^2b^3cd+DJKa^2b^4c-3DFJa^2b^2cd^2+7CDJa^2bcd^3-CDJa^2c^3d^2+9BDJa^2c^2d^3-2BGJa^2c^4d-CHJab^4cd-5BHJab^3c^2d-CJKab^5c-6BJKab^4c^2+3CFJab^3cd^2-CFJab^2c^3d+9BFJab^2c^2d^2+CGJab^3c^2d+4BGJab^2c^3d-4CDJab^2c^2d^2+CDJabc^4d-8BDJabc^3d^2-3BFJabc^4d+5C^2Jabc^3d^2+9BCJabc^2d^3-C^2Jac^5d-BCJac^4d^2-6B^2Jac^3d^3+2BDJac^5d-GHKa^4bc^2-2FHKa^4c^3-3DHKa^4c^2d+FHKa^3b^2c^2+3DHKa^3bc^3+2CHKa^3c^4+5BHKa^3c^3d+2GHKa^4b^2d+4FHKa^4bcd+7DHKa^4bd^2-2FHKa^3b^3d-6DHKa^3b^2cd-9CHKa^3b^2d^2-13BHKa^3bcd^2-4CH^2a^2b^2cd^2-5BH^2a^2bc^2d^2-DHJa^3b^2d^2+CHJa^2b^3d^2+9BHJa^2b^2cd^2-FGHa^3bcd^2-DGHa^3bd^3+DGHa^2b^2cd^2+CGHa^2b^2d^3+3CGHa^2bc^2d^2+7BGHa^2bcd^3-4CHKa^2b^2c^3-5BHKa^2bc^4-DHKa^2b^3c^2+8CHKa^2b^3cd+5BHKa^2b^2c^2d+DFHa^3cd^3-DFHa^2bc^2d^2+4CFHa^2bcd^3-2CFHa^2c^3d^2-3BFHa^2c^2d^3-2DGHa^3c^2d^2-DH^2a^2b^3d^2+2DHKa^2b^4d+2DFHa^2b^2d^3-5CDHa^2bd^4+CDHa^2c^2d^3-7BDHa^2cd^4+2BGHa^2c^3d^2+CH^2ab^4d^2+5BH^2ab^3cd^2-2CHKab^5d+CHKab^4c^2-10BHKab^4cd-2CFHab^3d^3+CFHab^2c^2d^2-6BFHab^2cd^3-CGHab^3cd^2-4BGHab^2c^2d^2+5BHKab^3c^3+3CDHab^2cd^3-CDHabc^3d^2+6BDHabc^2d^3-4C^2Habc^2d^3-7BCHabcd^4+C^2Hac^4d^2+BCHac^3d^3+3BFHabc^3d^2+5B^2Hac^2d^4-2BDHac^4d^2-5DK^2a^4bc^2+7BK^2a^3bc^3-FGKa^3bc^3+6DGKa^3bc^2d+DGKa^2b^2c^3-9CGKa^2b^2c^2d+3CGKa^2bc^4-2BGKa^2bc^3d+DFKa^3c^3d-DFKa^2bc^4+8CFKa^2bc^3d-2CFKa^2c^5-3BFKa^2c^4d-2DGKa^3c^4+4DFKa^2b^2c^2d-9CDKa^2bc^2d^2+CDKa^2c^4d-11BDKa^2c^3d^2+2BGKa^2c^5-4CFKab^3c^2d+CFKab^2c^4-12BFKab^2c^3d-CGKab^3c^3-4BGKab^2c^4+5CDKab^2c^3d-CDKabc^5+10BDKabc^4d+3BFKabc^5-6C^2Kabc^4d-11BCKabc^3d^2+C^2Kac^6+BCKac^5d+7B^2Kac^4d^2-2BDKac^6-DJKa^3b^3d+CJKa^2b^4d+11BJKa^2b^3cd+3FGKa^3b^2cd+3DGKa^3b^2d^2-3DGKa^2b^3cd-3CGKa^2b^3d^2-24BGKa^2b^2cd^2-6CK^2a^2b^4c-14BK^2a^2b^3c^2-7DFKa^3bcd^2+24BFKa^2bc^2d^2-DK^2a^2b^5-2DFKa^2b^3d^2+7CDKa^2b^2d^3+13BDKa^2bcd^3+CK^2ab^6+7BK^2ab^5c+2CFKab^4d^2+2BFKab^3cd^2+3CGKab^4cd+12BGKab^3c^2d-5CDKab^3cd^2-5BDKab^2c^2d^2+17BCKab^2cd^3-21B^2Kabc^2d^3-BHKb^5c^2-BFHb^3c^2d^2+BDHb^2c^3d^2-BCHbc^4d^2+4BCHb^2c^2d^3-5B^2Hbc^3d^3+2DGJa^2b^3d^2-2CGJab^4d^2-8BGJab^3cd^2+2CDJab^3d^3+BHJb^5cd+BJKb^6c-3BFJb^4cd^2-BGJb^4c^2d+4BDJb^3c^2d^2+BFJb^3c^3d+5BCJb^3cd^3-5BCJb^2c^3d^2-9B^2Jb^2c^2d^3-BDJb^2c^4d+BCJbc^5d+6B^2Jbc^4d^2+DFGa^2bcd^3-CFGab^2cd^3-3BFGabc^2d^3-2CDGab^2d^4+CDGabc^2d^3-4BDGabcd^4+BGHb^4cd^2-3BGKb^5cd+BFGb^3cd^3+BGKb^4c^3-BDGb^2c^2d^3-3BCGb^2cd^4+BCGbc^3d^3+4B^2Gbc^2d^4-BFKb^3c^4+BDKb^2c^5+6BCKb^2c^4d-BCKbc^6-7B^2Kbc^5d+4BFKb^4c^2d-5BDKb^3c^3d-9BCKb^3c^2d^2+14B^2Kb^2c^3d^2-CDFabcd^4-2BDFac^2d^4-BCFbc^2d^4+B^2Fc^3d^4+2BDGac^3d^3-3BDHb^3cd^3+5BDKb^4cd^2+BDFb^2cd^4+BCDbcd^5-B^2Dc^2d^5-B^2Gc^4d^3-B^2Jc^6d+B^2Hc^5d^2+B^2Kc^7-2HK^2a^6c+3GK^2a^5bc+2FK^2a^5c^2+5DK^2a^5cd-12CK^2a^4bcd-2CK^2a^4c^3-7BK^2a^4c^2d+J^2Ka^6c+3HJKa^6d-JK^2a^6b-GJKa^5bd-5FJKa^5cd-3DJKa^5d^2-2GJKa^5c^2+FJKa^4b^2d+4CJKa^4bd^2+7CJKa^4c^2d+8BJKa^4cd^2+GHKa^5cd-3G^2Ka^4bcd+FGKa^4c^2d-7DGKa^4cd^2+G^2Ka^4c^3+18CGKa^3bcd^2-3CGKa^3c^3d+6BGKa^3c^2d^2-3FHKa^5d^2+4FK^2a^5bd-5FGKa^4bd^2+4F^2Ka^4cd^2+3DFKa^4d^3+2F^2Ka^3b^2d^2+2CFKa^3bd^3-9CFKa^3c^2d^2-11BFKa^3cd^3+HJ^2a^5bd-GJ^2a^4b^2d-3FJ^2a^4bcd-4DJ^2a^4bd^2+FJ^2a^3b^3d+5CJ^2a^3b^2d^2+12BJ^2a^3bcd^2+2GJ^2a^5cd-3GHJa^5d^2+2G^2Ja^4bd^2-FGJa^4cd^2+3DGJa^4d^3-G^2Ja^4c^2d-2FGJa^3b^2d^2-7CGJa^3bd^3+3CGJa^3c^2d^2-2BGJa^3cd^3+2CHKa^4cd^2+4CDKa^3cd^3-12C^2Ka^2bcd^3+6C^2Ka^2c^3d^2+5BCKa^2c^2d^3+FHJa^4bd^2+3F^2Ja^3bcd^2+5DFJa^3bd^3-3CFJa^2b^2d^3-18BFJa^2bcd^3-5CJ^2a^4cd^2+3CHJa^4d^3+7CFJa^3cd^3-3CDJa^3d^4+5C^2Ja^2bd^4-5C^2Ja^2c^2d^3-4BCJa^2cd^4+3BHKa^4d^3-7BK^2a^4bd^2-5BJKa^3b^2d^2+11BGKa^3bd^3-3BDKa^3d^4+11BHKa^2b^3d^2-7BK^2a^2b^4d-6BFKa^2b^2d^3-8BCKa^2bd^4+7B^2Ka^2cd^4+3FGHa^4d^3+FG^2a^3bd^3-F^2Ga^3cd^3-3DFGa^3d^4+CFGa^2bd^4+2CFGa^2c^2d^3+5BFGa^2cd^4+G^2Ha^4cd^2+2DG^2a^3cd^3-3CG^2a^2bcd^3-2BG^2a^2c^2d^3-5CGHa^3cd^3-CDGa^2cd^4+3C^2Gabcd^4-C^2Gac^3d^3-BCGac^2d^4-4BHJa^3bd^3-6BJ^2a^2b^3d^2+9BGJa^2b^2d^3-2BDJa^2bd^4-BHJab^4d^2-BJKab^5d+3BFJab^3d^3-7BCJab^2d^4+12B^2Jabcd^4-2F^2Ha^3bd^3-DF^2a^2bd^4+CF^2ab^2d^4+3BF^2abcd^4-3BGHa^3d^4-4BG^2a^2bd^4+3BDGa^2d^5-BGHab^3d^3+3BGKab^4d^2-BFGab^2d^4+5BCGabd^5-4B^2Gacd^5-3CFHa^3d^4-2CF^2a^2cd^4+3CDFa^2d^5-2C^2Fabd^5+C^2Fac^2d^4+BCFacd^5-5BDKab^3d^3+2BHKb^6d-BK^2b^7-2BFKb^5d^2+2BCKb^4d^3-7B^2Kb^3cd^3-5BH^2a^2b^2d^3+3BDHab^2d^4-BH^2b^5d^2+2BFHb^4d^3-2BCHb^3d^4+5B^2Hb^2cd^4+7BFHa^2bd^4-BDFabd^5-BF^2b^3d^4+2BCFb^2d^5-3B^2Fbcd^5+4C^2Ha^2cd^4-C^2Dacd^5+3BCHa^2d^5-3BCDad^6-BC^2bd^6+B^2Ccd^6-BJ^2b^6d+2BGJb^5d^2-2BDJb^4d^3-BG^2b^4d^3+2BDGb^3d^4-BD^2b^2d^5-5B^2Habd^5+7B^2Kab^2d^4+2B^2Jb^3d^4-2B^2Gb^2d^5+2B^2Dbd^6+K^3a^7-J^3a^6d-3GK^2a^6d+3G^2Ka^5d^2+3CK^2a^5d^2+3FJ^2a^5d^2-3F^2Ja^4d^3-3BJ^2a^4d^3-6CGKa^4d^3-G^3a^4d^3+3C^2Ka^3d^4+6BFJa^3d^4+F^3a^3d^4+3CG^2a^3d^4-3B^2Ja^2d^5-3C^2Ga^2d^5-3BF^2a^2d^5+3B^2Fad^6+C^3ad^6-B^3d^7)
in Ax^9+Bx^8+Cx^7+Dx^6+Fx^5+Gx^4+Hx^3+Jx^2+Kx+L=0
-A^3d^9
+A^2(2Hb^3d^6+7Jab^2d^6-7Jb^3cd^5+8Ka^2bd^6+16Kb^3c^2d^4-2Kb^4d^5-24Kab^2cd^5+3La^3d^6-30Lb^3c^3d^3+54Lab^2c^2d^4-9Lab^3d^5-27La^2bcd^5+9Lb^4cd^4-2Fb^2d^7-5Gabd^7+5Gb^2cd^6-3Ha^2d^7-9Hb^2c^2d^5+12Habcd^6+14Jb^2c^3d^4+7Ja^2cd^6-21Jabc^2d^5+32Kabc^3d^4-20Kb^2c^4d^3+18La^2c^3d^4+27Lb^2c^5d^2-45Labc^4d^3-12Ka^2c^2d^5+2Cbd^8+3Dad^8-3Dbcd^7-4Facd^7+4Fbc^2d^6-5Gbc^3d^5+5Gac^2d^6-6Hac^3d^5+6Hbc^4d^4+7Jac^4d^4-7Jbc^5d^3+8Kbc^6d^2+9Lac^6d^2-9Lbc^7d-8Kac^5d^3+Bcd^8-Cc^2d^7+Dc^3d^6-Fc^4d^5+Gc^5d^4-Hc^6d^3+Jc^7d^2+Lc^9-Kc^8d)
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