a^8 x^6 y-6 a^6 b^2 x^6 y+9 a^4 b^4 x^6 y-2 a^2 b^6 x^6 y-3 a^6 c^2 x^6 y+12 a^4 b^2 c^2 x^6 y-6 a^2 b^4 c^2 x^6 y+3 a^4 c^4 x^6 y-6 a^2 b^2 c^4 x^6 y-2 a^2 c^6 x^6 y+a^8 x^5 y^2-8 a^6 b^2 x^5 y^2+15 a^4 b^4 x^5 y^2+4 a^2 b^6 x^5 y^2-2 b^8 x^5 y^2+4 a^6 c^2 x^5 y^2+3 a^4 b^2 c^2 x^5 y^2+6 a^2 b^4 c^2 x^5 y^2-2 b^6 c^2 x^5 y^2-9 a^4 c^4 x^5 y^2+6 a^2 b^2 c^4 x^5 y^2+4 a^2 c^6 x^5 y^2-2 b^2 c^6 x^5 y^2-2 c^8 x^5 y^2-3 a^8 x^4 y^3+10 a^6 b^2 x^4 y^3+18 a^2 b^6 x^4 y^3-5 b^8 x^4 y^3+15 a^6 c^2 x^4 y^3-12 a^4 b^2 c^2 x^4 y^3+9 a^2 b^4 c^2 x^4 y^3+6 b^6 c^2 x^4 y^3-6 a^4 c^4 x^4 y^3+6 b^4 c^4 x^4 y^3-3 a^2 c^6 x^4 y^3-2 b^2 c^6 x^4 y^3+3 c^8 x^4 y^3-5 a^8 x^3 y^4+18 a^6 b^2 x^3 y^4+10 a^2 b^6 x^3 y^4-3 b^8 x^3 y^4+6 a^6 c^2 x^3 y^4+9 a^4 b^2 c^2 x^3 y^4-12 a^2 b^4 c^2 x^3 y^4+15 b^6 c^2 x^3 y^4+6 a^4 c^4 x^3 y^4-6 b^4 c^4 x^3 y^4-2 a^2 c^6 x^3 y^4-3 b^2 c^6 x^3 y^4+3 c^8 x^3 y^4-2 a^8 x^2 y^5+4 a^6 b^2 x^2 y^5+15 a^4 b^4 x^2 y^5-8 a^2 b^6 x^2 y^5+b^8 x^2 y^5-2 a^6 c^2 x^2 y^5+6 a^4 b^2 c^2 x^2 y^5+3 a^2 b^4 c^2 x^2 y^5+4 b^6 c^2 x^2 y^5+6 a^2 b^2 c^4 x^2 y^5-9 b^4 c^4 x^2 y^5-2 a^2 c^6 x^2 y^5+4 b^2 c^6 x^2 y^5-2 c^8 x^2 y^5-2 a^6 b^2 x y^6+9 a^4 b^4 x y^6-6 a^2 b^6 x y^6+b^8 x y^6-6 a^4 b^2 c^2 x y^6+12 a^2 b^4 c^2 x y^6-3 b^6 c^2 x y^6-6 a^2 b^2 c^4 x y^6+3 b^4 c^4 x y^6-2 b^2 c^6 x y^6+a^8 x^6 z-3 a^6 b^2 x^6 z+3 a^4 b^4 x^6 z-2 a^2 b^6 x^6 z-6 a^6 c^2 x^6 z+12 a^4 b^2 c^2 x^6 z-6 a^2 b^4 c^2 x^6 z+9 a^4 c^4 x^6 z-6 a^2 b^2 c^4 x^6 z-2 a^2 c^6 x^6 z+2 a^8 x^5 y z-10 a^6 b^2 x^5 y z+8 a^2 b^6 x^5 y z-4 b^8 x^5 y z-10 a^6 c^2 x^5 y z+12 a^4 b^2 c^2 x^5 y z+12 a^2 b^4 c^2 x^5 y z-4 b^6 c^2 x^5 y z+12 a^2 b^2 c^4 x^5 y z+8 a^2 c^6 x^5 y z-4 b^2 c^6 x^5 y z-4 c^8 x^5 y z+2 a^8 x^4 y^2 z-16 a^6 b^2 x^4 y^2 z-3 a^4 b^4 x^4 y^2 z+17 a^2 b^6 x^4 y^2 z-7 b^8 x^4 y^2 z+4 a^6 c^2 x^4 y^2 z-12 a^4 b^2 c^2 x^4 y^2 z+18 a^2 b^4 c^2 x^4 y^2 z+10 b^6 c^2 x^4 y^2 z-21 a^4 c^4 x^4 y^2 z+9 a^2 b^2 c^4 x^4 y^2 z+18 b^4 c^4 x^4 y^2 z-4 a^2 c^6 x^4 y^2 z+2 b^2 c^6 x^4 y^2 z+c^8 x^4 y^2 z-2 a^8 x^3 y^3 z-2 a^6 b^2 x^3 y^3 z-2 a^2 b^6 x^3 y^3 z-2 b^8 x^3 y^3 z+22 a^6 c^2 x^3 y^3 z-12 a^4 b^2 c^2 x^3 y^3 z-12 a^2 b^4 c^2 x^3 y^3 z+22 b^6 c^2 x^3 y^3 z-12 a^2 b^2 c^4 x^3 y^3 z-14 a^2 c^6 x^3 y^3 z-14 b^2 c^6 x^3 y^3 z+10 c^8 x^3 y^3 z-7 a^8 x^2 y^4 z+17 a^6 b^2 x^2 y^4 z-3 a^4 b^4 x^2 y^4 z-16 a^2 b^6 x^2 y^4 z+2 b^8 x^2 y^4 z+10 a^6 c^2 x^2 y^4 z+18 a^4 b^2 c^2 x^2 y^4 z-12 a^2 b^4 c^2 x^2 y^4 z+4 b^6 c^2 x^2 y^4 z+18 a^4 c^4 x^2 y^4 z+9 a^2 b^2 c^4 x^2 y^4 z-21 b^4 c^4 x^2 y^4 z+2 a^2 c^6 x^2 y^4 z-4 b^2 c^6 x^2 y^4 z+c^8 x^2 y^4 z-4 a^8 x y^5 z+8 a^6 b^2 x y^5 z-10 a^2 b^6 x y^5 z+2 b^8 x y^5 z-4 a^6 c^2 x y^5 z+12 a^4 b^2 c^2 x y^5 z+12 a^2 b^4 c^2 x y^5 z-10 b^6 c^2 x y^5 z+12 a^2 b^2 c^4 x y^5 z-4 a^2 c^6 x y^5 z+8 b^2 c^6 x y^5 z-4 c^8 x y^5 z-2 a^6 b^2 y^6 z+3 a^4 b^4 y^6 z-3 a^2 b^6 y^6 z+b^8 y^6 z-6 a^4 b^2 c^2 y^6 z+12 a^2 b^4 c^2 y^6 z-6 b^6 c^2 y^6 z-6 a^2 b^2 c^4 y^6 z+9 b^4 c^4 y^6 z-2 b^2 c^6 y^6 z+a^8 x^5 z^2+4 a^6 b^2 x^5 z^2-9 a^4 b^4 x^5 z^2+4 a^2 b^6 x^5 z^2-2 b^8 x^5 z^2-8 a^6 c^2 x^5 z^2+3 a^4 b^2 c^2 x^5 z^2+6 a^2 b^4 c^2 x^5 z^2-2 b^6 c^2 x^5 z^2+15 a^4 c^4 x^5 z^2+6 a^2 b^2 c^4 x^5 z^2+4 a^2 c^6 x^5 z^2-2 b^2 c^6 x^5 z^2-2 c^8 x^5 z^2+2 a^8 x^4 y z^2+4 a^6 b^2 x^4 y z^2-21 a^4 b^4 x^4 y z^2-4 a^2 b^6 x^4 y z^2+b^8 x^4 y z^2-16 a^6 c^2 x^4 y z^2-12 a^4 b^2 c^2 x^4 y z^2+9 a^2 b^4 c^2 x^4 y z^2+2 b^6 c^2 x^4 y z^2-3 a^4 c^4 x^4 y z^2+18 a^2 b^2 c^4 x^4 y z^2+18 b^4 c^4 x^4 y z^2+17 a^2 c^6 x^4 y z^2+10 b^2 c^6 x^4 y z^2-7 c^8 x^4 y z^2+6 a^8 x^3 y^2 z^2-16 a^6 b^2 x^3 y^2 z^2-18 a^4 b^4 x^3 y^2 z^2-24 a^2 b^6 x^3 y^2 z^2+8 b^8 x^3 y^2 z^2-16 a^6 c^2 x^3 y^2 z^2-30 a^4 b^2 c^2 x^3 y^2 z^2-12 a^2 b^4 c^2 x^3 y^2 z^2-4 b^6 c^2 x^3 y^2 z^2-18 a^4 c^4 x^3 y^2 z^2-12 a^2 b^2 c^4 x^3 y^2 z^2+12 b^4 c^4 x^3 y^2 z^2-24 a^2 c^6 x^3 y^2 z^2-4 b^2 c^6 x^3 y^2 z^2+8 c^8 x^3 y^2 z^2+8 a^8 x^2 y^3 z^2-24 a^6 b^2 x^2 y^3 z^2-18 a^4 b^4 x^2 y^3 z^2-16 a^2 b^6 x^2 y^3 z^2+6 b^8 x^2 y^3 z^2-4 a^6 c^2 x^2 y^3 z^2-12 a^4 b^2 c^2 x^2 y^3 z^2-30 a^2 b^4 c^2 x^2 y^3 z^2-16 b^6 c^2 x^2 y^3 z^2+12 a^4 c^4 x^2 y^3 z^2-12 a^2 b^2 c^4 x^2 y^3 z^2-18 b^4 c^4 x^2 y^3 z^2-4 a^2 c^6 x^2 y^3 z^2-24 b^2 c^6 x^2 y^3 z^2+8 c^8 x^2 y^3 z^2+a^8 x y^4 z^2-4 a^6 b^2 x y^4 z^2-21 a^4 b^4 x y^4 z^2+4 a^2 b^6 x y^4 z^2+2 b^8 x y^4 z^2+2 a^6 c^2 x y^4 z^2+9 a^4 b^2 c^2 x y^4 z^2-12 a^2 b^4 c^2 x y^4 z^2-16 b^6 c^2 x y^4 z^2+18 a^4 c^4 x y^4 z^2+18 a^2 b^2 c^4 x y^4 z^2-3 b^4 c^4 x y^4 z^2+10 a^2 c^6 x y^4 z^2+17 b^2 c^6 x y^4 z^2-7 c^8 x y^4 z^2-2 a^8 y^5 z^2+4 a^6 b^2 y^5 z^2-9 a^4 b^4 y^5 z^2+4 a^2 b^6 y^5 z^2+b^8 y^5 z^2-2 a^6 c^2 y^5 z^2+6 a^4 b^2 c^2 y^5 z^2+3 a^2 b^4 c^2 y^5 z^2-8 b^6 c^2 y^5 z^2+6 a^2 b^2 c^4 y^5 z^2+15 b^4 c^4 y^5 z^2-2 a^2 c^6 y^5 z^2+4 b^2 c^6 y^5 z^2-2 c^8 y^5 z^2-3 a^8 x^4 z^3+15 a^6 b^2 x^4 z^3-6 a^4 b^4 x^4 z^3-3 a^2 b^6 x^4 z^3+3 b^8 x^4 z^3+10 a^6 c^2 x^4 z^3-12 a^4 b^2 c^2 x^4 z^3-2 b^6 c^2 x^4 z^3+9 a^2 b^2 c^4 x^4 z^3+6 b^4 c^4 x^4 z^3+18 a^2 c^6 x^4 z^3+6 b^2 c^6 x^4 z^3-5 c^8 x^4 z^3-2 a^8 x^3 y z^3+22 a^6 b^2 x^3 y z^3-14 a^2 b^6 x^3 y z^3+10 b^8 x^3 y z^3-2 a^6 c^2 x^3 y z^3-12 a^4 b^2 c^2 x^3 y z^3-12 a^2 b^4 c^2 x^3 y z^3-14 b^6 c^2 x^3 y z^3-12 a^2 b^2 c^4 x^3 y z^3-2 a^2 c^6 x^3 y z^3+22 b^2 c^6 x^3 y z^3-2 c^8 x^3 y z^3+8 a^8 x^2 y^2 z^3-4 a^6 b^2 x^2 y^2 z^3+12 a^4 b^4 x^2 y^2 z^3-4 a^2 b^6 x^2 y^2 z^3+8 b^8 x^2 y^2 z^3-24 a^6 c^2 x^2 y^2 z^3-12 a^4 b^2 c^2 x^2 y^2 z^3-12 a^2 b^4 c^2 x^2 y^2 z^3-24 b^6 c^2 x^2 y^2 z^3-18 a^4 c^4 x^2 y^2 z^3-30 a^2 b^2 c^4 x^2 y^2 z^3-18 b^4 c^4 x^2 y^2 z^3-16 a^2 c^6 x^2 y^2 z^3-16 b^2 c^6 x^2 y^2 z^3+6 c^8 x^2 y^2 z^3+10 a^8 x y^3 z^3-14 a^6 b^2 x y^3 z^3+22 a^2 b^6 x y^3 z^3-2 b^8 x y^3 z^3-14 a^6 c^2 x y^3 z^3-12 a^4 b^2 c^2 x y^3 z^3-12 a^2 b^4 c^2 x y^3 z^3-2 b^6 c^2 x y^3 z^3-12 a^2 b^2 c^4 x y^3 z^3+22 a^2 c^6 x y^3 z^3-2 b^2 c^6 x y^3 z^3-2 c^8 x y^3 z^3+3 a^8 y^4 z^3-3 a^6 b^2 y^4 z^3-6 a^4 b^4 y^4 z^3+15 a^2 b^6 y^4 z^3-3 b^8 y^4 z^3-2 a^6 c^2 y^4 z^3-12 a^2 b^4 c^2 y^4 z^3+10 b^6 c^2 y^4 z^3+6 a^4 c^4 y^4 z^3+9 a^2 b^2 c^4 y^4 z^3+6 a^2 c^6 y^4 z^3+18 b^2 c^6 y^4 z^3-5 c^8 y^4 z^3-5 a^8 x^3 z^4+6 a^6 b^2 x^3 z^4+6 a^4 b^4 x^3 z^4-2 a^2 b^6 x^3 z^4+3 b^8 x^3 z^4+18 a^6 c^2 x^3 z^4+9 a^4 b^2 c^2 x^3 z^4-3 b^6 c^2 x^3 z^4-12 a^2 b^2 c^4 x^3 z^4-6 b^4 c^4 x^3 z^4+10 a^2 c^6 x^3 z^4+15 b^2 c^6 x^3 z^4-3 c^8 x^3 z^4-7 a^8 x^2 y z^4+10 a^6 b^2 x^2 y z^4+18 a^4 b^4 x^2 y z^4+2 a^2 b^6 x^2 y z^4+b^8 x^2 y z^4+17 a^6 c^2 x^2 y z^4+18 a^4 b^2 c^2 x^2 y z^4+9 a^2 b^4 c^2 x^2 y z^4-4 b^6 c^2 x^2 y z^4-3 a^4 c^4 x^2 y z^4-12 a^2 b^2 c^4 x^2 y z^4-21 b^4 c^4 x^2 y z^4-16 a^2 c^6 x^2 y z^4+4 b^2 c^6 x^2 y z^4+2 c^8 x^2 y z^4+a^8 x y^2 z^4+2 a^6 b^2 x y^2 z^4+18 a^4 b^4 x y^2 z^4+10 a^2 b^6 x y^2 z^4-7 b^8 x y^2 z^4-4 a^6 c^2 x y^2 z^4+9 a^4 b^2 c^2 x y^2 z^4+18 a^2 b^4 c^2 x y^2 z^4+17 b^6 c^2 x y^2 z^4-21 a^4 c^4 x y^2 z^4-12 a^2 b^2 c^4 x y^2 z^4-3 b^4 c^4 x y^2 z^4+4 a^2 c^6 x y^2 z^4-16 b^2 c^6 x y^2 z^4+2 c^8 x y^2 z^4+3 a^8 y^3 z^4-2 a^6 b^2 y^3 z^4+6 a^4 b^4 y^3 z^4+6 a^2 b^6 y^3 z^4-5 b^8 y^3 z^4-3 a^6 c^2 y^3 z^4+9 a^2 b^4 c^2 y^3 z^4+18 b^6 c^2 y^3 z^4-6 a^4 c^4 y^3 z^4-12 a^2 b^2 c^4 y^3 z^4+15 a^2 c^6 y^3 z^4+10 b^2 c^6 y^3 z^4-3 c^8 y^3 z^4-2 a^8 x^2 z^5-2 a^6 b^2 x^2 z^5-2 a^2 b^6 x^2 z^5-2 b^8 x^2 z^5+4 a^6 c^2 x^2 z^5+6 a^4 b^2 c^2 x^2 z^5+6 a^2 b^4 c^2 x^2 z^5+4 b^6 c^2 x^2 z^5+15 a^4 c^4 x^2 z^5+3 a^2 b^2 c^4 x^2 z^5-9 b^4 c^4 x^2 z^5-8 a^2 c^6 x^2 z^5+4 b^2 c^6 x^2 z^5+c^8 x^2 z^5-4 a^8 x y z^5-4 a^6 b^2 x y z^5-4 a^2 b^6 x y z^5-4 b^8 x y z^5+8 a^6 c^2 x y z^5+12 a^4 b^2 c^2 x y z^5+12 a^2 b^4 c^2 x y z^5+8 b^6 c^2 x y z^5+12 a^2 b^2 c^4 x y z^5-10 a^2 c^6 x y z^5-10 b^2 c^6 x y z^5+2 c^8 x y z^5-2 a^8 y^2 z^5-2 a^6 b^2 y^2 z^5-2 a^2 b^6 y^2 z^5-2 b^8 y^2 z^5+4 a^6 c^2 y^2 z^5+6 a^4 b^2 c^2 y^2 z^5+6 a^2 b^4 c^2 y^2 z^5+4 b^6 c^2 y^2 z^5-9 a^4 c^4 y^2 z^5+3 a^2 b^2 c^4 y^2 z^5+15 b^4 c^4 y^2 z^5+4 a^2 c^6 y^2 z^5-8 b^2 c^6 y^2 z^5+c^8 y^2 z^5-2 a^6 c^2 x z^6-6 a^4 b^2 c^2 x z^6-6 a^2 b^4 c^2 x z^6-2 b^6 c^2 x z^6+9 a^4 c^4 x z^6+12 a^2 b^2 c^4 x z^6+3 b^4 c^4 x z^6-6 a^2 c^6 x z^6-3 b^2 c^6 x z^6+c^8 x z^6-2 a^6 c^2 y z^6-6 a^4 b^2 c^2 y z^6-6 a^2 b^4 c^2 y z^6-2 b^6 c^2 y z^6+3 a^4 c^4 y z^6+12 a^2 b^2 c^4 y z^6+9 b^4 c^4 y z^6-3 a^2 c^6 y z^6-6 b^2 c^6 y z^6+c^8 y z^6=0