Hyacinthos 27022 (Antreas Hatzipolakis and Peter Moses,Jan 8,2018)


4 a^10 b^6 c^4 x^4 y-20 a^8 b^8 c^4 x^4 y+40 a^6 b^10 c^4 x^4 y-40 a^4 b^12 c^4 x^4 y+20 a^2 b^14 c^4 x^4 y-4 b^16 c^4 x^4 y-4 a^10 b^4 c^6 x^4 y+8 a^6 b^8 c^6 x^4 y+16 a^4 b^10 c^6 x^4 y-36 a^2 b^12 c^6 x^4 y+16 b^14 c^6 x^4 y+20 a^8 b^4 c^8 x^4 y-8 a^6 b^6 c^8 x^4 y+8 a^2 b^10 c^8 x^4 y-20 b^12 c^8 x^4 y-40 a^6 b^4 c^10 x^4 y-16 a^4 b^6 c^10 x^4 y-8 a^2 b^8 c^10 x^4 y+40 a^4 b^4 c^12 x^4 y+36 a^2 b^6 c^12 x^4 y+20 b^8 c^12 x^4 y-20 a^2 b^4 c^14 x^4 y-16 b^6 c^14 x^4 y+4 b^4 c^16 x^4 y-2 a^14 b^2 c^4 x^3 y^2+6 a^12 b^4 c^4 x^3 y^2+2 a^10 b^6 c^4 x^3 y^2-30 a^8 b^8 c^4 x^3 y^2+50 a^6 b^10 c^4 x^3 y^2-38 a^4 b^12 c^4 x^3 y^2+14 a^2 b^14 c^4 x^3 y^2-2 b^16 c^4 x^3 y^2+14 a^12 b^2 c^6 x^3 y^2-36 a^10 b^4 c^6 x^3 y^2+46 a^8 b^6 c^6 x^3 y^2-72 a^6 b^8 c^6 x^3 y^2+90 a^4 b^10 c^6 x^3 y^2-52 a^2 b^12 c^6 x^3 y^2+10 b^14 c^6 x^3 y^2-38 a^10 b^2 c^8 x^3 y^2+126 a^8 b^4 c^8 x^3 y^2+92 a^6 b^6 c^8 x^3 y^2-236 a^4 b^8 c^8 x^3 y^2+74 a^2 b^10 c^8 x^3 y^2-18 b^12 c^8 x^3 y^2+50 a^8 b^2 c^10 x^3 y^2-168 a^6 b^4 c^10 x^3 y^2+100 a^4 b^6 c^10 x^3 y^2-56 a^2 b^8 c^10 x^3 y^2+10 b^10 c^10 x^3 y^2-30 a^6 b^2 c^12 x^3 y^2+82 a^4 b^4 c^12 x^3 y^2+34 a^2 b^6 c^12 x^3 y^2+10 b^8 c^12 x^3 y^2+2 a^4 b^2 c^14 x^3 y^2-20 a^2 b^4 c^14 x^3 y^2-18 b^6 c^14 x^3 y^2+6 a^2 b^2 c^16 x^3 y^2+10 b^4 c^16 x^3 y^2-2 b^2 c^18 x^3 y^2+2 a^16 c^4 x^2 y^3-14 a^14 b^2 c^4 x^2 y^3+38 a^12 b^4 c^4 x^2 y^3-50 a^10 b^6 c^4 x^2 y^3+30 a^8 b^8 c^4 x^2 y^3-2 a^6 b^10 c^4 x^2 y^3-6 a^4 b^12 c^4 x^2 y^3+2 a^2 b^14 c^4 x^2 y^3-10 a^14 c^6 x^2 y^3+52 a^12 b^2 c^6 x^2 y^3-90 a^10 b^4 c^6 x^2 y^3+72 a^8 b^6 c^6 x^2 y^3-46 a^6 b^8 c^6 x^2 y^3+36 a^4 b^10 c^6 x^2 y^3-14 a^2 b^12 c^6 x^2 y^3+18 a^12 c^8 x^2 y^3-74 a^10 b^2 c^8 x^2 y^3+236 a^8 b^4 c^8 x^2 y^3-92 a^6 b^6 c^8 x^2 y^3-126 a^4 b^8 c^8 x^2 y^3+38 a^2 b^10 c^8 x^2 y^3-10 a^10 c^10 x^2 y^3+56 a^8 b^2 c^10 x^2 y^3-100 a^6 b^4 c^10 x^2 y^3+168 a^4 b^6 c^10 x^2 y^3-50 a^2 b^8 c^10 x^2 y^3-10 a^8 c^12 x^2 y^3-34 a^6 b^2 c^12 x^2 y^3-82 a^4 b^4 c^12 x^2 y^3+30 a^2 b^6 c^12 x^2 y^3+18 a^6 c^14 x^2 y^3+20 a^4 b^2 c^14 x^2 y^3-2 a^2 b^4 c^14 x^2 y^3-10 a^4 c^16 x^2 y^3-6 a^2 b^2 c^16 x^2 y^3+2 a^2 c^18 x^2 y^3+4 a^16 c^4 x y^4-20 a^14 b^2 c^4 x y^4+40 a^12 b^4 c^4 x y^4-40 a^10 b^6 c^4 x y^4+20 a^8 b^8 c^4 x y^4-4 a^6 b^10 c^4 x y^4-16 a^14 c^6 x y^4+36 a^12 b^2 c^6 x y^4-16 a^10 b^4 c^6 x y^4-8 a^8 b^6 c^6 x y^4+4 a^4 b^10 c^6 x y^4+20 a^12 c^8 x y^4-8 a^10 b^2 c^8 x y^4+8 a^6 b^6 c^8 x y^4-20 a^4 b^8 c^8 x y^4+8 a^8 b^2 c^10 x y^4+16 a^6 b^4 c^10 x y^4+40 a^4 b^6 c^10 x y^4-20 a^8 c^12 x y^4-36 a^6 b^2 c^12 x y^4-40 a^4 b^4 c^12 x y^4+16 a^6 c^14 x y^4+20 a^4 b^2 c^14 x y^4-4 a^4 c^16 x y^4+4 a^10 b^6 c^4 x^4 z-20 a^8 b^8 c^4 x^4 z+40 a^6 b^10 c^4 x^4 z-40 a^4 b^12 c^4 x^4 z+20 a^2 b^14 c^4 x^4 z-4 b^16 c^4 x^4 z-4 a^10 b^4 c^6 x^4 z+8 a^6 b^8 c^6 x^4 z+16 a^4 b^10 c^6 x^4 z-36 a^2 b^12 c^6 x^4 z+16 b^14 c^6 x^4 z+20 a^8 b^4 c^8 x^4 z-8 a^6 b^6 c^8 x^4 z+8 a^2 b^10 c^8 x^4 z-20 b^12 c^8 x^4 z-40 a^6 b^4 c^10 x^4 z-16 a^4 b^6 c^10 x^4 z-8 a^2 b^8 c^10 x^4 z+40 a^4 b^4 c^12 x^4 z+36 a^2 b^6 c^12 x^4 z+20 b^8 c^12 x^4 z-20 a^2 b^4 c^14 x^4 z-16 b^6 c^14 x^4 z+4 b^4 c^16 x^4 z+4 a^14 b^4 c^2 x^3 y z-22 a^12 b^6 c^2 x^3 y z+48 a^10 b^8 c^2 x^3 y z-50 a^8 b^10 c^2 x^3 y z+20 a^6 b^12 c^2 x^3 y z+6 a^4 b^14 c^2 x^3 y z-8 a^2 b^16 c^2 x^3 y z+2 b^18 c^2 x^3 y z-4 a^14 b^2 c^4 x^3 y z+40 a^10 b^6 c^4 x^3 y z-92 a^8 b^8 c^4 x^3 y z+108 a^6 b^10 c^4 x^3 y z-88 a^4 b^12 c^4 x^3 y z+48 a^2 b^14 c^4 x^3 y z-12 b^16 c^4 x^3 y z+22 a^12 b^2 c^6 x^3 y z-40 a^10 b^4 c^6 x^3 y z+216 a^6 b^8 c^6 x^3 y z-98 a^4 b^10 c^6 x^3 y z-128 a^2 b^12 c^6 x^3 y z+28 b^14 c^6 x^3 y z-48 a^10 b^2 c^8 x^3 y z+92 a^8 b^4 c^8 x^3 y z-216 a^6 b^6 c^8 x^3 y z+200 a^2 b^10 c^8 x^3 y z-28 b^12 c^8 x^3 y z+50 a^8 b^2 c^10 x^3 y z-108 a^6 b^4 c^10 x^3 y z+98 a^4 b^6 c^10 x^3 y z-200 a^2 b^8 c^10 x^3 y z-20 a^6 b^2 c^12 x^3 y z+88 a^4 b^4 c^12 x^3 y z+128 a^2 b^6 c^12 x^3 y z+28 b^8 c^12 x^3 y z-6 a^4 b^2 c^14 x^3 y z-48 a^2 b^4 c^14 x^3 y z-28 b^6 c^14 x^3 y z+8 a^2 b^2 c^16 x^3 y z+12 b^4 c^16 x^3 y z-2 b^2 c^18 x^3 y z-a^18 c^2 x^2 y^2 z+3 a^16 b^2 c^2 x^2 y^2 z+6 a^14 b^4 c^2 x^2 y^2 z-42 a^12 b^6 c^2 x^2 y^2 z+84 a^10 b^8 c^2 x^2 y^2 z-84 a^8 b^10 c^2 x^2 y^2 z+42 a^6 b^12 c^2 x^2 y^2 z-6 a^4 b^14 c^2 x^2 y^2 z-3 a^2 b^16 c^2 x^2 y^2 z+b^18 c^2 x^2 y^2 z+6 a^16 c^4 x^2 y^2 z-28 a^14 b^2 c^4 x^2 y^2 z+52 a^12 b^4 c^4 x^2 y^2 z-44 a^10 b^6 c^4 x^2 y^2 z+44 a^6 b^10 c^4 x^2 y^2 z-52 a^4 b^12 c^4 x^2 y^2 z+28 a^2 b^14 c^4 x^2 y^2 z-6 b^16 c^4 x^2 y^2 z-14 a^14 c^6 x^2 y^2 z+100 a^12 b^2 c^6 x^2 y^2 z-80 a^10 b^4 c^6 x^2 y^2 z+350 a^8 b^6 c^6 x^2 y^2 z-350 a^6 b^8 c^6 x^2 y^2 z+80 a^4 b^10 c^6 x^2 y^2 z-100 a^2 b^12 c^6 x^2 y^2 z+14 b^14 c^6 x^2 y^2 z+14 a^12 c^8 x^2 y^2 z-184 a^10 b^2 c^8 x^2 y^2 z-58 a^8 b^4 c^8 x^2 y^2 z+58 a^4 b^8 c^8 x^2 y^2 z+184 a^2 b^10 c^8 x^2 y^2 z-14 b^12 c^8 x^2 y^2 z+190 a^8 b^2 c^10 x^2 y^2 z+102 a^6 b^4 c^10 x^2 y^2 z-102 a^4 b^6 c^10 x^2 y^2 z-190 a^2 b^8 c^10 x^2 y^2 z-14 a^8 c^12 x^2 y^2 z-108 a^6 b^2 c^12 x^2 y^2 z+108 a^2 b^6 c^12 x^2 y^2 z+14 b^8 c^12 x^2 y^2 z+14 a^6 c^14 x^2 y^2 z+28 a^4 b^2 c^14 x^2 y^2 z-28 a^2 b^4 c^14 x^2 y^2 z-14 b^6 c^14 x^2 y^2 z-6 a^4 c^16 x^2 y^2 z+6 b^4 c^16 x^2 y^2 z+a^2 c^18 x^2 y^2 z-b^2 c^18 x^2 y^2 z-2 a^18 c^2 x y^3 z+8 a^16 b^2 c^2 x y^3 z-6 a^14 b^4 c^2 x y^3 z-20 a^12 b^6 c^2 x y^3 z+50 a^10 b^8 c^2 x y^3 z-48 a^8 b^10 c^2 x y^3 z+22 a^6 b^12 c^2 x y^3 z-4 a^4 b^14 c^2 x y^3 z+12 a^16 c^4 x y^3 z-48 a^14 b^2 c^4 x y^3 z+88 a^12 b^4 c^4 x y^3 z-108 a^10 b^6 c^4 x y^3 z+92 a^8 b^8 c^4 x y^3 z-40 a^6 b^10 c^4 x y^3 z+4 a^2 b^14 c^4 x y^3 z-28 a^14 c^6 x y^3 z+128 a^12 b^2 c^6 x y^3 z+98 a^10 b^4 c^6 x y^3 z-216 a^8 b^6 c^6 x y^3 z+40 a^4 b^10 c^6 x y^3 z-22 a^2 b^12 c^6 x y^3 z+28 a^12 c^8 x y^3 z-200 a^10 b^2 c^8 x y^3 z+216 a^6 b^6 c^8 x y^3 z-92 a^4 b^8 c^8 x y^3 z+48 a^2 b^10 c^8 x y^3 z+200 a^8 b^2 c^10 x y^3 z-98 a^6 b^4 c^10 x y^3 z+108 a^4 b^6 c^10 x y^3 z-50 a^2 b^8 c^10 x y^3 z-28 a^8 c^12 x y^3 z-128 a^6 b^2 c^12 x y^3 z-88 a^4 b^4 c^12 x y^3 z+20 a^2 b^6 c^12 x y^3 z+28 a^6 c^14 x y^3 z+48 a^4 b^2 c^14 x y^3 z+6 a^2 b^4 c^14 x y^3 z-12 a^4 c^16 x y^3 z-8 a^2 b^2 c^16 x y^3 z+2 a^2 c^18 x y^3 z+4 a^16 c^4 y^4 z-20 a^14 b^2 c^4 y^4 z+40 a^12 b^4 c^4 y^4 z-40 a^10 b^6 c^4 y^4 z+20 a^8 b^8 c^4 y^4 z-4 a^6 b^10 c^4 y^4 z-16 a^14 c^6 y^4 z+36 a^12 b^2 c^6 y^4 z-16 a^10 b^4 c^6 y^4 z-8 a^8 b^6 c^6 y^4 z+4 a^4 b^10 c^6 y^4 z+20 a^12 c^8 y^4 z-8 a^10 b^2 c^8 y^4 z+8 a^6 b^6 c^8 y^4 z-20 a^4 b^8 c^8 y^4 z+8 a^8 b^2 c^10 y^4 z+16 a^6 b^4 c^10 y^4 z+40 a^4 b^6 c^10 y^4 z-20 a^8 c^12 y^4 z-36 a^6 b^2 c^12 y^4 z-40 a^4 b^4 c^12 y^4 z+16 a^6 c^14 y^4 z+20 a^4 b^2 c^14 y^4 z-4 a^4 c^16 y^4 z+2 a^14 b^4 c^2 x^3 z^2-14 a^12 b^6 c^2 x^3 z^2+38 a^10 b^8 c^2 x^3 z^2-50 a^8 b^10 c^2 x^3 z^2+30 a^6 b^12 c^2 x^3 z^2-2 a^4 b^14 c^2 x^3 z^2-6 a^2 b^16 c^2 x^3 z^2+2 b^18 c^2 x^3 z^2-6 a^12 b^4 c^4 x^3 z^2+36 a^10 b^6 c^4 x^3 z^2-126 a^8 b^8 c^4 x^3 z^2+168 a^6 b^10 c^4 x^3 z^2-82 a^4 b^12 c^4 x^3 z^2+20 a^2 b^14 c^4 x^3 z^2-10 b^16 c^4 x^3 z^2-2 a^10 b^4 c^6 x^3 z^2-46 a^8 b^6 c^6 x^3 z^2-92 a^6 b^8 c^6 x^3 z^2-100 a^4 b^10 c^6 x^3 z^2-34 a^2 b^12 c^6 x^3 z^2+18 b^14 c^6 x^3 z^2+30 a^8 b^4 c^8 x^3 z^2+72 a^6 b^6 c^8 x^3 z^2+236 a^4 b^8 c^8 x^3 z^2+56 a^2 b^10 c^8 x^3 z^2-10 b^12 c^8 x^3 z^2-50 a^6 b^4 c^10 x^3 z^2-90 a^4 b^6 c^10 x^3 z^2-74 a^2 b^8 c^10 x^3 z^2-10 b^10 c^10 x^3 z^2+38 a^4 b^4 c^12 x^3 z^2+52 a^2 b^6 c^12 x^3 z^2+18 b^8 c^12 x^3 z^2-14 a^2 b^4 c^14 x^3 z^2-10 b^6 c^14 x^3 z^2+2 b^4 c^16 x^3 z^2+a^18 b^2 x^2 y z^2-6 a^16 b^4 x^2 y z^2+14 a^14 b^6 x^2 y z^2-14 a^12 b^8 x^2 y z^2+14 a^8 b^12 x^2 y z^2-14 a^6 b^14 x^2 y z^2+6 a^4 b^16 x^2 y z^2-a^2 b^18 x^2 y z^2-3 a^16 b^2 c^2 x^2 y z^2+28 a^14 b^4 c^2 x^2 y z^2-100 a^12 b^6 c^2 x^2 y z^2+184 a^10 b^8 c^2 x^2 y z^2-190 a^8 b^10 c^2 x^2 y z^2+108 a^6 b^12 c^2 x^2 y z^2-28 a^4 b^14 c^2 x^2 y z^2+b^18 c^2 x^2 y z^2-6 a^14 b^2 c^4 x^2 y z^2-52 a^12 b^4 c^4 x^2 y z^2+80 a^10 b^6 c^4 x^2 y z^2+58 a^8 b^8 c^4 x^2 y z^2-102 a^6 b^10 c^4 x^2 y z^2+28 a^2 b^14 c^4 x^2 y z^2-6 b^16 c^4 x^2 y z^2+42 a^12 b^2 c^6 x^2 y z^2+44 a^10 b^4 c^6 x^2 y z^2-350 a^8 b^6 c^6 x^2 y z^2+102 a^4 b^10 c^6 x^2 y z^2-108 a^2 b^12 c^6 x^2 y z^2+14 b^14 c^6 x^2 y z^2-84 a^10 b^2 c^8 x^2 y z^2+350 a^6 b^6 c^8 x^2 y z^2-58 a^4 b^8 c^8 x^2 y z^2+190 a^2 b^10 c^8 x^2 y z^2-14 b^12 c^8 x^2 y z^2+84 a^8 b^2 c^10 x^2 y z^2-44 a^6 b^4 c^10 x^2 y z^2-80 a^4 b^6 c^10 x^2 y z^2-184 a^2 b^8 c^10 x^2 y z^2-42 a^6 b^2 c^12 x^2 y z^2+52 a^4 b^4 c^12 x^2 y z^2+100 a^2 b^6 c^12 x^2 y z^2+14 b^8 c^12 x^2 y z^2+6 a^4 b^2 c^14 x^2 y z^2-28 a^2 b^4 c^14 x^2 y z^2-14 b^6 c^14 x^2 y z^2+3 a^2 b^2 c^16 x^2 y z^2+6 b^4 c^16 x^2 y z^2-b^2 c^18 x^2 y z^2+a^18 b^2 x y^2 z^2-6 a^16 b^4 x y^2 z^2+14 a^14 b^6 x y^2 z^2-14 a^12 b^8 x y^2 z^2+14 a^8 b^12 x y^2 z^2-14 a^6 b^14 x y^2 z^2+6 a^4 b^16 x y^2 z^2-a^2 b^18 x y^2 z^2-a^18 c^2 x y^2 z^2+28 a^14 b^4 c^2 x y^2 z^2-108 a^12 b^6 c^2 x y^2 z^2+190 a^10 b^8 c^2 x y^2 z^2-184 a^8 b^10 c^2 x y^2 z^2+100 a^6 b^12 c^2 x y^2 z^2-28 a^4 b^14 c^2 x y^2 z^2+3 a^2 b^16 c^2 x y^2 z^2+6 a^16 c^4 x y^2 z^2-28 a^14 b^2 c^4 x y^2 z^2+102 a^10 b^6 c^4 x y^2 z^2-58 a^8 b^8 c^4 x y^2 z^2-80 a^6 b^10 c^4 x y^2 z^2+52 a^4 b^12 c^4 x y^2 z^2+6 a^2 b^14 c^4 x y^2 z^2-14 a^14 c^6 x y^2 z^2+108 a^12 b^2 c^6 x y^2 z^2-102 a^10 b^4 c^6 x y^2 z^2+350 a^6 b^8 c^6 x y^2 z^2-44 a^4 b^10 c^6 x y^2 z^2-42 a^2 b^12 c^6 x y^2 z^2+14 a^12 c^8 x y^2 z^2-190 a^10 b^2 c^8 x y^2 z^2+58 a^8 b^4 c^8 x y^2 z^2-350 a^6 b^6 c^8 x y^2 z^2+84 a^2 b^10 c^8 x y^2 z^2+184 a^8 b^2 c^10 x y^2 z^2+80 a^6 b^4 c^10 x y^2 z^2+44 a^4 b^6 c^10 x y^2 z^2-84 a^2 b^8 c^10 x y^2 z^2-14 a^8 c^12 x y^2 z^2-100 a^6 b^2 c^12 x y^2 z^2-52 a^4 b^4 c^12 x y^2 z^2+42 a^2 b^6 c^12 x y^2 z^2+14 a^6 c^14 x y^2 z^2+28 a^4 b^2 c^14 x y^2 z^2-6 a^2 b^4 c^14 x y^2 z^2-6 a^4 c^16 x y^2 z^2-3 a^2 b^2 c^16 x y^2 z^2+a^2 c^18 x y^2 z^2-2 a^18 c^2 y^3 z^2+6 a^16 b^2 c^2 y^3 z^2+2 a^14 b^4 c^2 y^3 z^2-30 a^12 b^6 c^2 y^3 z^2+50 a^10 b^8 c^2 y^3 z^2-38 a^8 b^10 c^2 y^3 z^2+14 a^6 b^12 c^2 y^3 z^2-2 a^4 b^14 c^2 y^3 z^2+10 a^16 c^4 y^3 z^2-20 a^14 b^2 c^4 y^3 z^2+82 a^12 b^4 c^4 y^3 z^2-168 a^10 b^6 c^4 y^3 z^2+126 a^8 b^8 c^4 y^3 z^2-36 a^6 b^10 c^4 y^3 z^2+6 a^4 b^12 c^4 y^3 z^2-18 a^14 c^6 y^3 z^2+34 a^12 b^2 c^6 y^3 z^2+100 a^10 b^4 c^6 y^3 z^2+92 a^8 b^6 c^6 y^3 z^2+46 a^6 b^8 c^6 y^3 z^2+2 a^4 b^10 c^6 y^3 z^2+10 a^12 c^8 y^3 z^2-56 a^10 b^2 c^8 y^3 z^2-236 a^8 b^4 c^8 y^3 z^2-72 a^6 b^6 c^8 y^3 z^2-30 a^4 b^8 c^8 y^3 z^2+10 a^10 c^10 y^3 z^2+74 a^8 b^2 c^10 y^3 z^2+90 a^6 b^4 c^10 y^3 z^2+50 a^4 b^6 c^10 y^3 z^2-18 a^8 c^12 y^3 z^2-52 a^6 b^2 c^12 y^3 z^2-38 a^4 b^4 c^12 y^3 z^2+10 a^6 c^14 y^3 z^2+14 a^4 b^2 c^14 y^3 z^2-2 a^4 c^16 y^3 z^2-2 a^16 b^4 x^2 z^3+10 a^14 b^6 x^2 z^3-18 a^12 b^8 x^2 z^3+10 a^10 b^10 x^2 z^3+10 a^8 b^12 x^2 z^3-18 a^6 b^14 x^2 z^3+10 a^4 b^16 x^2 z^3-2 a^2 b^18 x^2 z^3+14 a^14 b^4 c^2 x^2 z^3-52 a^12 b^6 c^2 x^2 z^3+74 a^10 b^8 c^2 x^2 z^3-56 a^8 b^10 c^2 x^2 z^3+34 a^6 b^12 c^2 x^2 z^3-20 a^4 b^14 c^2 x^2 z^3+6 a^2 b^16 c^2 x^2 z^3-38 a^12 b^4 c^4 x^2 z^3+90 a^10 b^6 c^4 x^2 z^3-236 a^8 b^8 c^4 x^2 z^3+100 a^6 b^10 c^4 x^2 z^3+82 a^4 b^12 c^4 x^2 z^3+2 a^2 b^14 c^4 x^2 z^3+50 a^10 b^4 c^6 x^2 z^3-72 a^8 b^6 c^6 x^2 z^3+92 a^6 b^8 c^6 x^2 z^3-168 a^4 b^10 c^6 x^2 z^3-30 a^2 b^12 c^6 x^2 z^3-30 a^8 b^4 c^8 x^2 z^3+46 a^6 b^6 c^8 x^2 z^3+126 a^4 b^8 c^8 x^2 z^3+50 a^2 b^10 c^8 x^2 z^3+2 a^6 b^4 c^10 x^2 z^3-36 a^4 b^6 c^10 x^2 z^3-38 a^2 b^8 c^10 x^2 z^3+6 a^4 b^4 c^12 x^2 z^3+14 a^2 b^6 c^12 x^2 z^3-2 a^2 b^4 c^14 x^2 z^3+2 a^18 b^2 x y z^3-12 a^16 b^4 x y z^3+28 a^14 b^6 x y z^3-28 a^12 b^8 x y z^3+28 a^8 b^12 x y z^3-28 a^6 b^14 x y z^3+12 a^4 b^16 x y z^3-2 a^2 b^18 x y z^3-8 a^16 b^2 c^2 x y z^3+48 a^14 b^4 c^2 x y z^3-128 a^12 b^6 c^2 x y z^3+200 a^10 b^8 c^2 x y z^3-200 a^8 b^10 c^2 x y z^3+128 a^6 b^12 c^2 x y z^3-48 a^4 b^14 c^2 x y z^3+8 a^2 b^16 c^2 x y z^3+6 a^14 b^2 c^4 x y z^3-88 a^12 b^4 c^4 x y z^3-98 a^10 b^6 c^4 x y z^3+98 a^6 b^10 c^4 x y z^3+88 a^4 b^12 c^4 x y z^3-6 a^2 b^14 c^4 x y z^3+20 a^12 b^2 c^6 x y z^3+108 a^10 b^4 c^6 x y z^3+216 a^8 b^6 c^6 x y z^3-216 a^6 b^8 c^6 x y z^3-108 a^4 b^10 c^6 x y z^3-20 a^2 b^12 c^6 x y z^3-50 a^10 b^2 c^8 x y z^3-92 a^8 b^4 c^8 x y z^3+92 a^4 b^8 c^8 x y z^3+50 a^2 b^10 c^8 x y z^3+48 a^8 b^2 c^10 x y z^3+40 a^6 b^4 c^10 x y z^3-40 a^4 b^6 c^10 x y z^3-48 a^2 b^8 c^10 x y z^3-22 a^6 b^2 c^12 x y z^3+22 a^2 b^6 c^12 x y z^3+4 a^4 b^2 c^14 x y z^3-4 a^2 b^4 c^14 x y z^3+2 a^18 b^2 y^2 z^3-10 a^16 b^4 y^2 z^3+18 a^14 b^6 y^2 z^3-10 a^12 b^8 y^2 z^3-10 a^10 b^10 y^2 z^3+18 a^8 b^12 y^2 z^3-10 a^6 b^14 y^2 z^3+2 a^4 b^16 y^2 z^3-6 a^16 b^2 c^2 y^2 z^3+20 a^14 b^4 c^2 y^2 z^3-34 a^12 b^6 c^2 y^2 z^3+56 a^10 b^8 c^2 y^2 z^3-74 a^8 b^10 c^2 y^2 z^3+52 a^6 b^12 c^2 y^2 z^3-14 a^4 b^14 c^2 y^2 z^3-2 a^14 b^2 c^4 y^2 z^3-82 a^12 b^4 c^4 y^2 z^3-100 a^10 b^6 c^4 y^2 z^3+236 a^8 b^8 c^4 y^2 z^3-90 a^6 b^10 c^4 y^2 z^3+38 a^4 b^12 c^4 y^2 z^3+30 a^12 b^2 c^6 y^2 z^3+168 a^10 b^4 c^6 y^2 z^3-92 a^8 b^6 c^6 y^2 z^3+72 a^6 b^8 c^6 y^2 z^3-50 a^4 b^10 c^6 y^2 z^3-50 a^10 b^2 c^8 y^2 z^3-126 a^8 b^4 c^8 y^2 z^3-46 a^6 b^6 c^8 y^2 z^3+30 a^4 b^8 c^8 y^2 z^3+38 a^8 b^2 c^10 y^2 z^3+36 a^6 b^4 c^10 y^2 z^3-2 a^4 b^6 c^10 y^2 z^3-14 a^6 b^2 c^12 y^2 z^3-6 a^4 b^4 c^12 y^2 z^3+2 a^4 b^2 c^14 y^2 z^3-4 a^16 b^4 x z^4+16 a^14 b^6 x z^4-20 a^12 b^8 x z^4+20 a^8 b^12 x z^4-16 a^6 b^14 x z^4+4 a^4 b^16 x z^4+20 a^14 b^4 c^2 x z^4-36 a^12 b^6 c^2 x z^4+8 a^10 b^8 c^2 x z^4-8 a^8 b^10 c^2 x z^4+36 a^6 b^12 c^2 x z^4-20 a^4 b^14 c^2 x z^4-40 a^12 b^4 c^4 x z^4+16 a^10 b^6 c^4 x z^4-16 a^6 b^10 c^4 x z^4+40 a^4 b^12 c^4 x z^4+40 a^10 b^4 c^6 x z^4+8 a^8 b^6 c^6 x z^4-8 a^6 b^8 c^6 x z^4-40 a^4 b^10 c^6 x z^4-20 a^8 b^4 c^8 x z^4+20 a^4 b^8 c^8 x z^4+4 a^6 b^4 c^10 x z^4-4 a^4 b^6 c^10 x z^4-4 a^16 b^4 y z^4+16 a^14 b^6 y z^4-20 a^12 b^8 y z^4+20 a^8 b^12 y z^4-16 a^6 b^14 y z^4+4 a^4 b^16 y z^4+20 a^14 b^4 c^2 y z^4-36 a^12 b^6 c^2 y z^4+8 a^10 b^8 c^2 y z^4-8 a^8 b^10 c^2 y z^4+36 a^6 b^12 c^2 y z^4-20 a^4 b^14 c^2 y z^4-40 a^12 b^4 c^4 y z^4+16 a^10 b^6 c^4 y z^4-16 a^6 b^10 c^4 y z^4+40 a^4 b^12 c^4 y z^4+40 a^10 b^4 c^6 y z^4+8 a^8 b^6 c^6 y z^4-8 a^6 b^8 c^6 y z^4-40 a^4 b^10 c^6 y z^4-20 a^8 b^4 c^8 y z^4+20 a^4 b^8 c^8 y z^4+4 a^6 b^4 c^10 y z^4-4 a^4 b^6 c^10 y z^4=0