(p^5 q^5 r^2-2 p^3 q^7 r^2+p q^9 r^2-p^5 q^4 r^3+4 p^4 q^5 r^3+7 p^3 q^6 r^3-7 p^2 q^7 r^3-2 p q^8 r^3-q^9 r^3-p^5 q^3 r^4-8 p^4 q^4 r^4-5 p^3 q^5 r^4+28 p^2 q^6 r^4+2 q^8 r^4+p^5 q^2 r^5+4 p^4 q^3 r^5-5 p^3 q^4 r^5-42 p^2 q^5 r^5+p q^6 r^5+q^7 r^5+7 p^3 q^3 r^6+28 p^2 q^4 r^6+p q^5 r^6-4 q^6 r^6-2 p^3 q^2 r^7-7 p^2 q^3 r^7+q^5 r^7-2 p q^3 r^8+2 q^4 r^8+p q^2 r^9-q^3 r^9) x^4+(-4 p^6 q^4 r^2+8 p^4 q^6 r^2-4 p^2 q^8 r^2+6 p^6 q^3 r^3-2 p^5 q^4 r^3-26 p^4 q^5 r^3+6 p^3 q^6 r^3+12 p^2 q^7 r^3+4 p q^8 r^3+8 p^5 q^3 r^4+40 p^4 q^4 r^4-12 p^3 q^5 r^4-24 p^2 q^6 r^4-12 p q^7 r^4-2 p^6 q r^5-10 p^5 q^2 r^5-34 p^4 q^3 r^5+2 p^3 q^4 r^5+34 p^2 q^5 r^5+10 p q^6 r^5+4 p^5 q r^6+12 p^4 q^2 r^6+4 p^3 q^3 r^6-24 p^2 q^4 r^6+4 p q^5 r^6+4 p^3 q^2 r^7+8 p^2 q^3 r^7-12 p q^4 r^7-4 p^3 q r^8-4 p^2 q^2 r^8+8 p q^3 r^8+2 p^2 q r^9-2 p q^2 r^9) x^3 y+(6 p^7 q^3 r^2-12 p^5 q^5 r^2+6 p^3 q^7 r^2-8 p^7 q^2 r^3-12 p^6 q^3 r^3+20 p^5 q^4 r^3+20 p^4 q^5 r^3-12 p^3 q^6 r^3-8 p^2 q^7 r^3+2 p^7 q r^4+16 p^6 q^2 r^4-12 p^5 q^3 r^4-44 p^4 q^4 r^4-12 p^3 q^5 r^4+16 p^2 q^6 r^4+2 p q^7 r^4-4 p^6 q r^5+4 p^5 q^2 r^5+40 p^4 q^3 r^5+40 p^3 q^4 r^5+4 p^2 q^5 r^5-4 p q^6 r^5-20 p^4 q^2 r^6-24 p^3 q^3 r^6-20 p^2 q^4 r^6+4 p^4 q r^7+4 p^3 q^2 r^7+4 p^2 q^3 r^7+4 p q^4 r^7-2 p^3 q r^8+4 p^2 q^2 r^8-2 p q^3 r^8) x^2 y^2+(-4 p^8 q^2 r^2+8 p^6 q^4 r^2-4 p^4 q^6 r^2+4 p^8 q r^3+12 p^7 q^2 r^3+6 p^6 q^3 r^3-26 p^5 q^4 r^3-2 p^4 q^5 r^3+6 p^3 q^6 r^3-12 p^7 q r^4-24 p^6 q^2 r^4-12 p^5 q^3 r^4+40 p^4 q^4 r^4+8 p^3 q^5 r^4+10 p^6 q r^5+34 p^5 q^2 r^5+2 p^4 q^3 r^5-34 p^3 q^4 r^5-10 p^2 q^5 r^5-2 p q^6 r^5+4 p^5 q r^6-24 p^4 q^2 r^6+4 p^3 q^3 r^6+12 p^2 q^4 r^6+4 p q^5 r^6-12 p^4 q r^7+8 p^3 q^2 r^7+4 p^2 q^3 r^7+8 p^3 q r^8-4 p^2 q^2 r^8-4 p q^3 r^8-2 p^2 q r^9+2 p q^2 r^9) x y^3+(p^9 q r^2-2 p^7 q^3 r^2+p^5 q^5 r^2-p^9 r^3-2 p^8 q r^3-7 p^7 q^2 r^3+7 p^6 q^3 r^3+4 p^5 q^4 r^3-p^4 q^5 r^3+2 p^8 r^4+28 p^6 q^2 r^4-5 p^5 q^3 r^4-8 p^4 q^4 r^4-p^3 q^5 r^4+p^7 r^5+p^6 q r^5-42 p^5 q^2 r^5-5 p^4 q^3 r^5+4 p^3 q^4 r^5+p^2 q^5 r^5-4 p^6 r^6+p^5 q r^6+28 p^4 q^2 r^6+7 p^3 q^3 r^6+p^5 r^7-7 p^3 q^2 r^7-2 p^2 q^3 r^7+2 p^4 r^8-2 p^3 q r^8-p^3 r^9+p^2 q r^9) y^4+(-2 p^6 q^5 r+4 p^5 q^6 r-4 p^3 q^8 r+2 p^2 q^9 r-10 p^5 q^5 r^2+12 p^4 q^6 r^2+4 p^3 q^7 r^2-4 p^2 q^8 r^2-2 p q^9 r^2+6 p^6 q^3 r^3+8 p^5 q^4 r^3-34 p^4 q^5 r^3+4 p^3 q^6 r^3+8 p^2 q^7 r^3+8 p q^8 r^3-4 p^6 q^2 r^4-2 p^5 q^3 r^4+40 p^4 q^4 r^4+2 p^3 q^5 r^4-24 p^2 q^6 r^4-12 p q^7 r^4-26 p^4 q^3 r^5-12 p^3 q^4 r^5+34 p^2 q^5 r^5+4 p q^6 r^5+8 p^4 q^2 r^6+6 p^3 q^3 r^6-24 p^2 q^4 r^6+10 p q^5 r^6+12 p^2 q^3 r^7-12 p q^4 r^7-4 p^2 q^2 r^8+4 p q^3 r^8) x^3 z+(6 p^7 q^4 r-12 p^6 q^5 r+12 p^4 q^7 r-6 p^3 q^8 r-6 p^7 q^3 r^2+20 p^6 q^4 r^2-12 p^5 q^5 r^2-4 p^4 q^6 r^2-6 p^3 q^7 r^2+8 p^2 q^8 r^2-6 p^7 q^2 r^3-16 p^6 q^3 r^3+12 p^5 q^4 r^3+8 p^4 q^5 r^3+16 p^3 q^6 r^3-12 p^2 q^7 r^3-2 p q^8 r^3+6 p^7 q r^4+20 p^6 q^2 r^4+12 p^5 q^3 r^4-32 p^4 q^4 r^4-4 p^3 q^5 r^4-8 p^2 q^6 r^4+6 p q^7 r^4-12 p^6 q r^5-12 p^5 q^2 r^5+8 p^4 q^3 r^5-4 p^3 q^4 r^5+24 p^2 q^5 r^5-4 p q^6 r^5-4 p^4 q^2 r^6+16 p^3 q^3 r^6-8 p^2 q^4 r^6-4 p q^5 r^6+12 p^4 q r^7-6 p^3 q^2 r^7-12 p^2 q^3 r^7+6 p q^4 r^7-6 p^3 q r^8+8 p^2 q^2 r^8-2 p q^3 r^8) x^2 y z+(-6 p^8 q^3 r+12 p^7 q^4 r-12 p^5 q^6 r+6 p^4 q^7 r+8 p^8 q^2 r^2-6 p^7 q^3 r^2-4 p^6 q^4 r^2-12 p^5 q^5 r^2+20 p^4 q^6 r^2-6 p^3 q^7 r^2-2 p^8 q r^3-12 p^7 q^2 r^3+16 p^6 q^3 r^3+8 p^5 q^4 r^3+12 p^4 q^5 r^3-16 p^3 q^6 r^3-6 p^2 q^7 r^3+6 p^7 q r^4-8 p^6 q^2 r^4-4 p^5 q^3 r^4-32 p^4 q^4 r^4+12 p^3 q^5 r^4+20 p^2 q^6 r^4+6 p q^7 r^4-4 p^6 q r^5+24 p^5 q^2 r^5-4 p^4 q^3 r^5+8 p^3 q^4 r^5-12 p^2 q^5 r^5-12 p q^6 r^5-4 p^5 q r^6-8 p^4 q^2 r^6+16 p^3 q^3 r^6-4 p^2 q^4 r^6+6 p^4 q r^7-12 p^3 q^2 r^7-6 p^2 q^3 r^7+12 p q^4 r^7-2 p^3 q r^8+8 p^2 q^2 r^8-6 p q^3 r^8) x y^2 z+(2 p^9 q^2 r-4 p^8 q^3 r+4 p^6 q^5 r-2 p^5 q^6 r-2 p^9 q r^2-4 p^8 q^2 r^2+4 p^7 q^3 r^2+12 p^6 q^4 r^2-10 p^5 q^5 r^2+8 p^8 q r^3+8 p^7 q^2 r^3+4 p^6 q^3 r^3-34 p^5 q^4 r^3+8 p^4 q^5 r^3+6 p^3 q^6 r^3-12 p^7 q r^4-24 p^6 q^2 r^4+2 p^5 q^3 r^4+40 p^4 q^4 r^4-2 p^3 q^5 r^4-4 p^2 q^6 r^4+4 p^6 q r^5+34 p^5 q^2 r^5-12 p^4 q^3 r^5-26 p^3 q^4 r^5+10 p^5 q r^6-24 p^4 q^2 r^6+6 p^3 q^3 r^6+8 p^2 q^4 r^6-12 p^4 q r^7+12 p^3 q^2 r^7+4 p^3 q r^8-4 p^2 q^2 r^8) y^3 z+(2 p^7 q^4 r-4 p^6 q^5 r+4 p^4 q^7 r-2 p^3 q^8 r-8 p^7 q^3 r^2+16 p^6 q^4 r^2+4 p^5 q^5 r^2-20 p^4 q^6 r^2+4 p^3 q^7 r^2+4 p^2 q^8 r^2+6 p^7 q^2 r^3-12 p^6 q^3 r^3-12 p^5 q^4 r^3+40 p^4 q^5 r^3-24 p^3 q^6 r^3+4 p^2 q^7 r^3-2 p q^8 r^3+20 p^5 q^3 r^4-44 p^4 q^4 r^4+40 p^3 q^5 r^4-20 p^2 q^6 r^4+4 p q^7 r^4-12 p^5 q^2 r^5+20 p^4 q^3 r^5-12 p^3 q^4 r^5+4 p^2 q^5 r^5-12 p^3 q^3 r^6+16 p^2 q^4 r^6-4 p q^5 r^6+6 p^3 q^2 r^7-8 p^2 q^3 r^7+2 p q^4 r^7) x^2 z^2+(-2 p^8 q^3 r+6 p^7 q^4 r-4 p^6 q^5 r-4 p^5 q^6 r+6 p^4 q^7 r-2 p^3 q^8 r+8 p^8 q^2 r^2-12 p^7 q^3 r^2-8 p^6 q^4 r^2+24 p^5 q^5 r^2-8 p^4 q^6 r^2-12 p^3 q^7 r^2+8 p^2 q^8 r^2-6 p^8 q r^3-6 p^7 q^2 r^3+16 p^6 q^3 r^3-4 p^5 q^4 r^3-4 p^4 q^5 r^3+16 p^3 q^6 r^3-6 p^2 q^7 r^3-6 p q^8 r^3+12 p^7 q r^4-4 p^6 q^2 r^4+8 p^5 q^3 r^4-32 p^4 q^4 r^4+8 p^3 q^5 r^4-4 p^2 q^6 r^4+12 p q^7 r^4-12 p^5 q^2 r^5+12 p^4 q^3 r^5+12 p^3 q^4 r^5-12 p^2 q^5 r^5-12 p^5 q r^6+20 p^4 q^2 r^6-16 p^3 q^3 r^6+20 p^2 q^4 r^6-12 p q^5 r^6+6 p^4 q r^7-6 p^3 q^2 r^7-6 p^2 q^3 r^7+6 p q^4 r^7) x y z^2+(-2 p^8 q^3 r+4 p^7 q^4 r-4 p^5 q^6 r+2 p^4 q^7 r+4 p^8 q^2 r^2+4 p^7 q^3 r^2-20 p^6 q^4 r^2+4 p^5 q^5 r^2+16 p^4 q^6 r^2-8 p^3 q^7 r^2-2 p^8 q r^3+4 p^7 q^2 r^3-24 p^6 q^3 r^3+40 p^5 q^4 r^3-12 p^4 q^5 r^3-12 p^3 q^6 r^3+6 p^2 q^7 r^3+4 p^7 q r^4-20 p^6 q^2 r^4+40 p^5 q^3 r^4-44 p^4 q^4 r^4+20 p^3 q^5 r^4+4 p^5 q^2 r^5-12 p^4 q^3 r^5+20 p^3 q^4 r^5-12 p^2 q^5 r^5-4 p^5 q r^6+16 p^4 q^2 r^6-12 p^3 q^3 r^6+2 p^4 q r^7-8 p^3 q^2 r^7+6 p^2 q^3 r^7) y^2 z^2+(4 p^8 q^3 r-12 p^7 q^4 r+10 p^6 q^5 r+4 p^5 q^6 r-12 p^4 q^7 r+8 p^3 q^8 r-2 p^2 q^9 r-4 p^8 q^2 r^2+12 p^7 q^3 r^2-24 p^6 q^4 r^2+34 p^5 q^5 r^2-24 p^4 q^6 r^2+8 p^3 q^7 r^2-4 p^2 q^8 r^2+2 p q^9 r^2+6 p^6 q^3 r^3-12 p^5 q^4 r^3+2 p^4 q^5 r^3+4 p^3 q^6 r^3+4 p^2 q^7 r^3-4 p q^8 r^3+8 p^6 q^2 r^4-26 p^5 q^3 r^4+40 p^4 q^4 r^4-34 p^3 q^5 r^4+12 p^2 q^6 r^4-2 p^4 q^3 r^5+8 p^3 q^4 r^5-10 p^2 q^5 r^5+4 p q^6 r^5-4 p^4 q^2 r^6+6 p^3 q^3 r^6-2 p q^5 r^6) x z^3+(-2 p^9 q^2 r+8 p^8 q^3 r-12 p^7 q^4 r+4 p^6 q^5 r+10 p^5 q^6 r-12 p^4 q^7 r+4 p^3 q^8 r+2 p^9 q r^2-4 p^8 q^2 r^2+8 p^7 q^3 r^2-24 p^6 q^4 r^2+34 p^5 q^5 r^2-24 p^4 q^6 r^2+12 p^3 q^7 r^2-4 p^2 q^8 r^2-4 p^8 q r^3+4 p^7 q^2 r^3+4 p^6 q^3 r^3+2 p^5 q^4 r^3-12 p^4 q^5 r^3+6 p^3 q^6 r^3+12 p^6 q^2 r^4-34 p^5 q^3 r^4+40 p^4 q^4 r^4-26 p^3 q^5 r^4+8 p^2 q^6 r^4+4 p^6 q r^5-10 p^5 q^2 r^5+8 p^4 q^3 r^5-2 p^3 q^4 r^5-2 p^5 q r^6+6 p^3 q^3 r^6-4 p^2 q^4 r^6) y z^3+(-p^9 q^3+2 p^8 q^4+p^7 q^5-4 p^6 q^6+p^5 q^7+2 p^4 q^8-p^3 q^9+p^9 q^2 r-2 p^8 q^3 r+p^6 q^5 r+p^5 q^6 r-2 p^3 q^8 r+p^2 q^9 r-7 p^7 q^3 r^2+28 p^6 q^4 r^2-42 p^5 q^5 r^2+28 p^4 q^6 r^2-7 p^3 q^7 r^2-2 p^7 q^2 r^3+7 p^6 q^3 r^3-5 p^5 q^4 r^3-5 p^4 q^5 r^3+7 p^3 q^6 r^3-2 p^2 q^7 r^3+4 p^5 q^3 r^4-8 p^4 q^4 r^4+4 p^3 q^5 r^4+p^5 q^2 r^5-p^4 q^3 r^5-p^3 q^4 r^5+p^2 q^5 r^5) z^4=0