2 a^4 c^8 x^6 y^3+4 a^2 b^2 c^8 x^6 y^3+2 b^4 c^8 x^6 y^3-4 a^2 c^10 x^6 y^3-4 b^2 c^10 x^6 y^3+2 c^12 x^6 y^3+7 a^4 c^8 x^5 y^4+6 a^2 b^2 c^8 x^5 y^4-5 b^4 c^8 x^5 y^4-10 a^2 c^10 x^5 y^4+2 b^2 c^10 x^5 y^4+3 c^12 x^5 y^4+5 a^4 c^8 x^4 y^5-6 a^2 b^2 c^8 x^4 y^5-7 b^4 c^8 x^4 y^5-2 a^2 c^10 x^4 y^5+10 b^2 c^10 x^4 y^5-3 c^12 x^4 y^5-2 a^4 c^8 x^3 y^6-4 a^2 b^2 c^8 x^3 y^6-2 b^4 c^8 x^3 y^6+4 a^2 c^10 x^3 y^6+4 b^2 c^10 x^3 y^6-2 c^12 x^3 y^6+a^6 b^2 c^4 x^6 y^2 z+2 a^4 b^4 c^4 x^6 y^2 z+a^2 b^6 c^4 x^6 y^2 z-4 b^8 c^4 x^6 y^2 z+6 a^2 b^4 c^6 x^6 y^2 z+14 b^6 c^6 x^6 y^2 z-7 a^2 b^2 c^8 x^6 y^2 z-16 b^4 c^8 x^6 y^2 z+6 b^2 c^10 x^6 y^2 z+a^8 c^4 x^5 y^3 z+7 a^6 b^2 c^4 x^5 y^3 z+7 a^4 b^4 c^4 x^5 y^3 z-7 a^2 b^6 c^4 x^5 y^3 z-8 b^8 c^4 x^5 y^3 z+2 a^6 c^6 x^5 y^3 z+7 a^4 b^2 c^6 x^5 y^3 z+28 a^2 b^4 c^6 x^5 y^3 z+3 b^6 c^6 x^5 y^3 z-4 a^4 c^8 x^5 y^3 z-27 a^2 b^2 c^8 x^5 y^3 z-11 b^4 c^8 x^5 y^3 z-2 a^2 c^10 x^5 y^3 z+13 b^2 c^10 x^5 y^3 z+3 c^12 x^5 y^3 z+5 a^8 c^4 x^4 y^4 z+14 a^6 b^2 c^4 x^4 y^4 z-14 a^2 b^6 c^4 x^4 y^4 z-5 b^8 c^4 x^4 y^4 z+6 a^6 c^6 x^4 y^4 z+6 a^4 b^2 c^6 x^4 y^4 z-6 a^2 b^4 c^6 x^4 y^4 z-6 b^6 c^6 x^4 y^4 z-7 a^4 c^8 x^4 y^4 z+7 b^4 c^8 x^4 y^4 z-4 a^2 c^10 x^4 y^4 z+4 b^2 c^10 x^4 y^4 z+8 a^8 c^4 x^3 y^5 z+7 a^6 b^2 c^4 x^3 y^5 z-7 a^4 b^4 c^4 x^3 y^5 z-7 a^2 b^6 c^4 x^3 y^5 z-b^8 c^4 x^3 y^5 z-3 a^6 c^6 x^3 y^5 z-28 a^4 b^2 c^6 x^3 y^5 z-7 a^2 b^4 c^6 x^3 y^5 z-2 b^6 c^6 x^3 y^5 z+11 a^4 c^8 x^3 y^5 z+27 a^2 b^2 c^8 x^3 y^5 z+4 b^4 c^8 x^3 y^5 z-13 a^2 c^10 x^3 y^5 z+2 b^2 c^10 x^3 y^5 z-3 c^12 x^3 y^5 z+4 a^8 c^4 x^2 y^6 z-a^6 b^2 c^4 x^2 y^6 z-2 a^4 b^4 c^4 x^2 y^6 z-a^2 b^6 c^4 x^2 y^6 z-14 a^6 c^6 x^2 y^6 z-6 a^4 b^2 c^6 x^2 y^6 z+16 a^4 c^8 x^2 y^6 z+7 a^2 b^2 c^8 x^2 y^6 z-6 a^2 c^10 x^2 y^6 z-a^6 b^4 c^2 x^6 y z^2+7 a^2 b^8 c^2 x^6 y z^2-6 b^10 c^2 x^6 y z^2-2 a^4 b^4 c^4 x^6 y z^2-6 a^2 b^6 c^4 x^6 y z^2+16 b^8 c^4 x^6 y z^2-a^2 b^4 c^6 x^6 y z^2-14 b^6 c^6 x^6 y z^2+4 b^4 c^8 x^6 y z^2-2 a^6 b^4 c^2 x^5 y^2 z^2+13 a^4 b^6 c^2 x^5 y^2 z^2-11 b^10 c^2 x^5 y^2 z^2+2 a^6 b^2 c^4 x^5 y^2 z^2+24 a^2 b^6 c^4 x^5 y^2 z^2-2 b^8 c^4 x^5 y^2 z^2-13 a^4 b^2 c^6 x^5 y^2 z^2-24 a^2 b^4 c^6 x^5 y^2 z^2+2 b^4 c^8 x^5 y^2 z^2+11 b^2 c^10 x^5 y^2 z^2+a^10 c^2 x^4 y^3 z^2+4 a^8 b^2 c^2 x^4 y^3 z^2+6 a^6 b^4 c^2 x^4 y^3 z^2+6 a^4 b^6 c^2 x^4 y^3 z^2-11 a^2 b^8 c^2 x^4 y^3 z^2-6 b^10 c^2 x^4 y^3 z^2+3 a^8 c^4 x^4 y^3 z^2+20 a^6 b^2 c^4 x^4 y^3 z^2+32 a^4 b^4 c^4 x^4 y^3 z^2-28 a^2 b^6 c^4 x^4 y^3 z^2-11 b^8 c^4 x^4 y^3 z^2-6 a^6 c^6 x^4 y^3 z^2-44 a^4 b^2 c^6 x^4 y^3 z^2+14 a^2 b^4 c^6 x^4 y^3 z^2+14 b^6 c^6 x^4 y^3 z^2+8 a^2 b^2 c^8 x^4 y^3 z^2-10 b^4 c^8 x^4 y^3 z^2+a^2 c^10 x^4 y^3 z^2+12 b^2 c^10 x^4 y^3 z^2+c^12 x^4 y^3 z^2+6 a^10 c^2 x^3 y^4 z^2+11 a^8 b^2 c^2 x^3 y^4 z^2-6 a^6 b^4 c^2 x^3 y^4 z^2-6 a^4 b^6 c^2 x^3 y^4 z^2-4 a^2 b^8 c^2 x^3 y^4 z^2-b^10 c^2 x^3 y^4 z^2+11 a^8 c^4 x^3 y^4 z^2+28 a^6 b^2 c^4 x^3 y^4 z^2-32 a^4 b^4 c^4 x^3 y^4 z^2-20 a^2 b^6 c^4 x^3 y^4 z^2-3 b^8 c^4 x^3 y^4 z^2-14 a^6 c^6 x^3 y^4 z^2-14 a^4 b^2 c^6 x^3 y^4 z^2+44 a^2 b^4 c^6 x^3 y^4 z^2+6 b^6 c^6 x^3 y^4 z^2+10 a^4 c^8 x^3 y^4 z^2-8 a^2 b^2 c^8 x^3 y^4 z^2-12 a^2 c^10 x^3 y^4 z^2-b^2 c^10 x^3 y^4 z^2-c^12 x^3 y^4 z^2+11 a^10 c^2 x^2 y^5 z^2-13 a^6 b^4 c^2 x^2 y^5 z^2+2 a^4 b^6 c^2 x^2 y^5 z^2+2 a^8 c^4 x^2 y^5 z^2-24 a^6 b^2 c^4 x^2 y^5 z^2-2 a^2 b^6 c^4 x^2 y^5 z^2+24 a^4 b^2 c^6 x^2 y^5 z^2+13 a^2 b^4 c^6 x^2 y^5 z^2-2 a^4 c^8 x^2 y^5 z^2-11 a^2 c^10 x^2 y^5 z^2+6 a^10 c^2 x y^6 z^2-7 a^8 b^2 c^2 x y^6 z^2+a^4 b^6 c^2 x y^6 z^2-16 a^8 c^4 x y^6 z^2+6 a^6 b^2 c^4 x y^6 z^2+2 a^4 b^4 c^4 x y^6 z^2+14 a^6 c^6 x y^6 z^2+a^4 b^2 c^6 x y^6 z^2-4 a^4 c^8 x y^6 z^2-2 a^4 b^8 x^6 z^3+4 a^2 b^10 x^6 z^3-2 b^12 x^6 z^3-4 a^2 b^8 c^2 x^6 z^3+4 b^10 c^2 x^6 z^3-2 b^8 c^4 x^6 z^3-a^8 b^4 x^5 y z^3-2 a^6 b^6 x^5 y z^3+4 a^4 b^8 x^5 y z^3+2 a^2 b^10 x^5 y z^3-3 b^12 x^5 y z^3-7 a^6 b^4 c^2 x^5 y z^3-7 a^4 b^6 c^2 x^5 y z^3+27 a^2 b^8 c^2 x^5 y z^3-13 b^10 c^2 x^5 y z^3-7 a^4 b^4 c^4 x^5 y z^3-28 a^2 b^6 c^4 x^5 y z^3+11 b^8 c^4 x^5 y z^3+7 a^2 b^4 c^6 x^5 y z^3-3 b^6 c^6 x^5 y z^3+8 b^4 c^8 x^5 y z^3-a^10 b^2 x^4 y^2 z^3-3 a^8 b^4 x^4 y^2 z^3+6 a^6 b^6 x^4 y^2 z^3-a^2 b^10 x^4 y^2 z^3-b^12 x^4 y^2 z^3-4 a^8 b^2 c^2 x^4 y^2 z^3-20 a^6 b^4 c^2 x^4 y^2 z^3+44 a^4 b^6 c^2 x^4 y^2 z^3-8 a^2 b^8 c^2 x^4 y^2 z^3-12 b^10 c^2 x^4 y^2 z^3-6 a^6 b^2 c^4 x^4 y^2 z^3-32 a^4 b^4 c^4 x^4 y^2 z^3-14 a^2 b^6 c^4 x^4 y^2 z^3+10 b^8 c^4 x^4 y^2 z^3-6 a^4 b^2 c^6 x^4 y^2 z^3+28 a^2 b^4 c^6 x^4 y^2 z^3-14 b^6 c^6 x^4 y^2 z^3+11 a^2 b^2 c^8 x^4 y^2 z^3+11 b^4 c^8 x^4 y^2 z^3+6 b^2 c^10 x^4 y^2 z^3-2 a^10 b^2 x^3 y^3 z^3+4 a^8 b^4 x^3 y^3 z^3-4 a^4 b^8 x^3 y^3 z^3+2 a^2 b^10 x^3 y^3 z^3+2 a^10 c^2 x^3 y^3 z^3+6 a^6 b^4 c^2 x^3 y^3 z^3-6 a^4 b^6 c^2 x^3 y^3 z^3-2 b^10 c^2 x^3 y^3 z^3-4 a^8 c^4 x^3 y^3 z^3-6 a^6 b^2 c^4 x^3 y^3 z^3+6 a^2 b^6 c^4 x^3 y^3 z^3+4 b^8 c^4 x^3 y^3 z^3+6 a^4 b^2 c^6 x^3 y^3 z^3-6 a^2 b^4 c^6 x^3 y^3 z^3+4 a^4 c^8 x^3 y^3 z^3-4 b^4 c^8 x^3 y^3 z^3-2 a^2 c^10 x^3 y^3 z^3+2 b^2 c^10 x^3 y^3 z^3+a^12 x^2 y^4 z^3+a^10 b^2 x^2 y^4 z^3-6 a^6 b^6 x^2 y^4 z^3+3 a^4 b^8 x^2 y^4 z^3+a^2 b^10 x^2 y^4 z^3+12 a^10 c^2 x^2 y^4 z^3+8 a^8 b^2 c^2 x^2 y^4 z^3-44 a^6 b^4 c^2 x^2 y^4 z^3+20 a^4 b^6 c^2 x^2 y^4 z^3+4 a^2 b^8 c^2 x^2 y^4 z^3-10 a^8 c^4 x^2 y^4 z^3+14 a^6 b^2 c^4 x^2 y^4 z^3+32 a^4 b^4 c^4 x^2 y^4 z^3+6 a^2 b^6 c^4 x^2 y^4 z^3+14 a^6 c^6 x^2 y^4 z^3-28 a^4 b^2 c^6 x^2 y^4 z^3+6 a^2 b^4 c^6 x^2 y^4 z^3-11 a^4 c^8 x^2 y^4 z^3-11 a^2 b^2 c^8 x^2 y^4 z^3-6 a^2 c^10 x^2 y^4 z^3+3 a^12 x y^5 z^3-2 a^10 b^2 x y^5 z^3-4 a^8 b^4 x y^5 z^3+2 a^6 b^6 x y^5 z^3+a^4 b^8 x y^5 z^3+13 a^10 c^2 x y^5 z^3-27 a^8 b^2 c^2 x y^5 z^3+7 a^6 b^4 c^2 x y^5 z^3+7 a^4 b^6 c^2 x y^5 z^3-11 a^8 c^4 x y^5 z^3+28 a^6 b^2 c^4 x y^5 z^3+7 a^4 b^4 c^4 x y^5 z^3+3 a^6 c^6 x y^5 z^3-7 a^4 b^2 c^6 x y^5 z^3-8 a^4 c^8 x y^5 z^3+2 a^12 y^6 z^3-4 a^10 b^2 y^6 z^3+2 a^8 b^4 y^6 z^3-4 a^10 c^2 y^6 z^3+4 a^8 b^2 c^2 y^6 z^3+2 a^8 c^4 y^6 z^3-7 a^4 b^8 x^5 z^4+10 a^2 b^10 x^5 z^4-3 b^12 x^5 z^4-6 a^2 b^8 c^2 x^5 z^4-2 b^10 c^2 x^5 z^4+5 b^8 c^4 x^5 z^4-5 a^8 b^4 x^4 y z^4-6 a^6 b^6 x^4 y z^4+7 a^4 b^8 x^4 y z^4+4 a^2 b^10 x^4 y z^4-14 a^6 b^4 c^2 x^4 y z^4-6 a^4 b^6 c^2 x^4 y z^4-4 b^10 c^2 x^4 y z^4+6 a^2 b^6 c^4 x^4 y z^4-7 b^8 c^4 x^4 y z^4+14 a^2 b^4 c^6 x^4 y z^4+6 b^6 c^6 x^4 y z^4+5 b^4 c^8 x^4 y z^4-6 a^10 b^2 x^3 y^2 z^4-11 a^8 b^4 x^3 y^2 z^4+14 a^6 b^6 x^3 y^2 z^4-10 a^4 b^8 x^3 y^2 z^4+12 a^2 b^10 x^3 y^2 z^4+b^12 x^3 y^2 z^4-11 a^8 b^2 c^2 x^3 y^2 z^4-28 a^6 b^4 c^2 x^3 y^2 z^4+14 a^4 b^6 c^2 x^3 y^2 z^4+8 a^2 b^8 c^2 x^3 y^2 z^4+b^10 c^2 x^3 y^2 z^4+6 a^6 b^2 c^4 x^3 y^2 z^4+32 a^4 b^4 c^4 x^3 y^2 z^4-44 a^2 b^6 c^4 x^3 y^2 z^4+6 a^4 b^2 c^6 x^3 y^2 z^4+20 a^2 b^4 c^6 x^3 y^2 z^4-6 b^6 c^6 x^3 y^2 z^4+4 a^2 b^2 c^8 x^3 y^2 z^4+3 b^4 c^8 x^3 y^2 z^4+b^2 c^10 x^3 y^2 z^4-a^12 x^2 y^3 z^4-12 a^10 b^2 x^2 y^3 z^4+10 a^8 b^4 x^2 y^3 z^4-14 a^6 b^6 x^2 y^3 z^4+11 a^4 b^8 x^2 y^3 z^4+6 a^2 b^10 x^2 y^3 z^4-a^10 c^2 x^2 y^3 z^4-8 a^8 b^2 c^2 x^2 y^3 z^4-14 a^6 b^4 c^2 x^2 y^3 z^4+28 a^4 b^6 c^2 x^2 y^3 z^4+11 a^2 b^8 c^2 x^2 y^3 z^4+44 a^6 b^2 c^4 x^2 y^3 z^4-32 a^4 b^4 c^4 x^2 y^3 z^4-6 a^2 b^6 c^4 x^2 y^3 z^4+6 a^6 c^6 x^2 y^3 z^4-20 a^4 b^2 c^6 x^2 y^3 z^4-6 a^2 b^4 c^6 x^2 y^3 z^4-3 a^4 c^8 x^2 y^3 z^4-4 a^2 b^2 c^8 x^2 y^3 z^4-a^2 c^10 x^2 y^3 z^4-4 a^10 b^2 x y^4 z^4-7 a^8 b^4 x y^4 z^4+6 a^6 b^6 x y^4 z^4+5 a^4 b^8 x y^4 z^4+4 a^10 c^2 x y^4 z^4+6 a^6 b^4 c^2 x y^4 z^4+14 a^4 b^6 c^2 x y^4 z^4+7 a^8 c^4 x y^4 z^4-6 a^6 b^2 c^4 x y^4 z^4-6 a^6 c^6 x y^4 z^4-14 a^4 b^2 c^6 x y^4 z^4-5 a^4 c^8 x y^4 z^4+3 a^12 y^5 z^4-10 a^10 b^2 y^5 z^4+7 a^8 b^4 y^5 z^4+2 a^10 c^2 y^5 z^4+6 a^8 b^2 c^2 y^5 z^4-5 a^8 c^4 y^5 z^4-5 a^4 b^8 x^4 z^5+2 a^2 b^10 x^4 z^5+3 b^12 x^4 z^5+6 a^2 b^8 c^2 x^4 z^5-10 b^10 c^2 x^4 z^5+7 b^8 c^4 x^4 z^5-8 a^8 b^4 x^3 y z^5+3 a^6 b^6 x^3 y z^5-11 a^4 b^8 x^3 y z^5+13 a^2 b^10 x^3 y z^5+3 b^12 x^3 y z^5-7 a^6 b^4 c^2 x^3 y z^5+28 a^4 b^6 c^2 x^3 y z^5-27 a^2 b^8 c^2 x^3 y z^5-2 b^10 c^2 x^3 y z^5+7 a^4 b^4 c^4 x^3 y z^5+7 a^2 b^6 c^4 x^3 y z^5-4 b^8 c^4 x^3 y z^5+7 a^2 b^4 c^6 x^3 y z^5+2 b^6 c^6 x^3 y z^5+b^4 c^8 x^3 y z^5-11 a^10 b^2 x^2 y^2 z^5-2 a^8 b^4 x^2 y^2 z^5+2 a^4 b^8 x^2 y^2 z^5+11 a^2 b^10 x^2 y^2 z^5+24 a^6 b^4 c^2 x^2 y^2 z^5-24 a^4 b^6 c^2 x^2 y^2 z^5+13 a^6 b^2 c^4 x^2 y^2 z^5-13 a^2 b^6 c^4 x^2 y^2 z^5-2 a^4 b^2 c^6 x^2 y^2 z^5+2 a^2 b^4 c^6 x^2 y^2 z^5-3 a^12 x y^3 z^5-13 a^10 b^2 x y^3 z^5+11 a^8 b^4 x y^3 z^5-3 a^6 b^6 x y^3 z^5+8 a^4 b^8 x y^3 z^5+2 a^10 c^2 x y^3 z^5+27 a^8 b^2 c^2 x y^3 z^5-28 a^6 b^4 c^2 x y^3 z^5+7 a^4 b^6 c^2 x y^3 z^5+4 a^8 c^4 x y^3 z^5-7 a^6 b^2 c^4 x y^3 z^5-7 a^4 b^4 c^4 x y^3 z^5-2 a^6 c^6 x y^3 z^5-7 a^4 b^2 c^6 x y^3 z^5-a^4 c^8 x y^3 z^5-3 a^12 y^4 z^5-2 a^10 b^2 y^4 z^5+5 a^8 b^4 y^4 z^5+10 a^10 c^2 y^4 z^5-6 a^8 b^2 c^2 y^4 z^5-7 a^8 c^4 y^4 z^5+2 a^4 b^8 x^3 z^6-4 a^2 b^10 x^3 z^6+2 b^12 x^3 z^6+4 a^2 b^8 c^2 x^3 z^6-4 b^10 c^2 x^3 z^6+2 b^8 c^4 x^3 z^6-4 a^8 b^4 x^2 y z^6+14 a^6 b^6 x^2 y z^6-16 a^4 b^8 x^2 y z^6+6 a^2 b^10 x^2 y z^6+a^6 b^4 c^2 x^2 y z^6+6 a^4 b^6 c^2 x^2 y z^6-7 a^2 b^8 c^2 x^2 y z^6+2 a^4 b^4 c^4 x^2 y z^6+a^2 b^4 c^6 x^2 y z^6-6 a^10 b^2 x y^2 z^6+16 a^8 b^4 x y^2 z^6-14 a^6 b^6 x y^2 z^6+4 a^4 b^8 x y^2 z^6+7 a^8 b^2 c^2 x y^2 z^6-6 a^6 b^4 c^2 x y^2 z^6-a^4 b^6 c^2 x y^2 z^6-2 a^4 b^4 c^4 x y^2 z^6-a^4 b^2 c^6 x y^2 z^6-2 a^12 y^3 z^6+4 a^10 b^2 y^3 z^6-2 a^8 b^4 y^3 z^6+4 a^10 c^2 y^3 z^6-4 a^8 b^2 c^2 y^3 z^6-2 a^8 c^4 y^3 z^6 = 0.