-a^9 x^6 y+8 a^8 b x^6 y-28 a^7 b^2 x^6 y+56 a^6 b^3 x^6 y-70 a^5 b^4 x^6 y+56 a^4 b^5 x^6 y-28 a^3 b^6 x^6 y+8 a^2 b^7 x^6 y-a b^8 x^6 y+6 a^8 c x^6 y-42 a^7 b c x^6 y+126 a^6 b^2 c x^6 y-210 a^5 b^3 c x^6 y+210 a^4 b^4 c x^6 y-126 a^3 b^5 c x^6 y+42 a^2 b^6 c x^6 y-6 a b^7 c x^6 y-14 a^7 c^2 x^6 y+84 a^6 b c^2 x^6 y-210 a^5 b^2 c^2 x^6 y+280 a^4 b^3 c^2 x^6 y-210 a^3 b^4 c^2 x^6 y+84 a^2 b^5 c^2 x^6 y-14 a b^6 c^2 x^6 y+14 a^6 c^3 x^6 y-70 a^5 b c^3 x^6 y+140 a^4 b^2 c^3 x^6 y-140 a^3 b^3 c^3 x^6 y+70 a^2 b^4 c^3 x^6 y-14 a b^5 c^3 x^6 y-14 a^4 c^5 x^6 y+42 a^3 b c^5 x^6 y-42 a^2 b^2 c^5 x^6 y+14 a b^3 c^5 x^6 y+14 a^3 c^6 x^6 y-28 a^2 b c^6 x^6 y+14 a b^2 c^6 x^6 y-6 a^2 c^7 x^6 y+6 a b c^7 x^6 y+a c^8 x^6 y+a^8 b x^5 y^2-8 a^7 b^2 x^5 y^2+28 a^6 b^3 x^5 y^2-56 a^5 b^4 x^5 y^2+70 a^4 b^5 x^5 y^2-56 a^3 b^6 x^5 y^2+28 a^2 b^7 x^5 y^2-8 a b^8 x^5 y^2+b^9 x^5 y^2-2 a^7 b c x^5 y^2+14 a^6 b^2 c x^5 y^2-42 a^5 b^3 c x^5 y^2+70 a^4 b^4 c x^5 y^2-70 a^3 b^5 c x^5 y^2+42 a^2 b^6 c x^5 y^2-14 a b^7 c x^5 y^2+2 b^8 c x^5 y^2-2 a^6 b c^2 x^5 y^2+12 a^5 b^2 c^2 x^5 y^2-30 a^4 b^3 c^2 x^5 y^2+40 a^3 b^4 c^2 x^5 y^2-30 a^2 b^5 c^2 x^5 y^2+12 a b^6 c^2 x^5 y^2-2 b^7 c^2 x^5 y^2+6 a^5 b c^3 x^5 y^2-30 a^4 b^2 c^3 x^5 y^2+60 a^3 b^3 c^3 x^5 y^2-60 a^2 b^4 c^3 x^5 y^2+30 a b^5 c^3 x^5 y^2-6 b^6 c^3 x^5 y^2-6 a^3 b c^5 x^5 y^2+18 a^2 b^2 c^5 x^5 y^2-18 a b^3 c^5 x^5 y^2+6 b^4 c^5 x^5 y^2+2 a^2 b c^6 x^5 y^2-4 a b^2 c^6 x^5 y^2+2 b^3 c^6 x^5 y^2+2 a b c^7 x^5 y^2-2 b^2 c^7 x^5 y^2-b c^8 x^5 y^2+2 a^9 x^4 y^3-16 a^8 b x^4 y^3+56 a^7 b^2 x^4 y^3-112 a^6 b^3 x^4 y^3+140 a^5 b^4 x^4 y^3-112 a^4 b^5 x^4 y^3+56 a^3 b^6 x^4 y^3-16 a^2 b^7 x^4 y^3+2 a b^8 x^4 y^3-4 a^8 c x^4 y^3+28 a^7 b c x^4 y^3-84 a^6 b^2 c x^4 y^3+140 a^5 b^3 c x^4 y^3-140 a^4 b^4 c x^4 y^3+84 a^3 b^5 c x^4 y^3-28 a^2 b^6 c x^4 y^3+4 a b^7 c x^4 y^3-4 a^7 c^2 x^4 y^3+24 a^6 b c^2 x^4 y^3-60 a^5 b^2 c^2 x^4 y^3+80 a^4 b^3 c^2 x^4 y^3-60 a^3 b^4 c^2 x^4 y^3+24 a^2 b^5 c^2 x^4 y^3-4 a b^6 c^2 x^4 y^3+12 a^6 c^3 x^4 y^3-60 a^5 b c^3 x^4 y^3+120 a^4 b^2 c^3 x^4 y^3-120 a^3 b^3 c^3 x^4 y^3+60 a^2 b^4 c^3 x^4 y^3-12 a b^5 c^3 x^4 y^3-12 a^4 c^5 x^4 y^3+36 a^3 b c^5 x^4 y^3-36 a^2 b^2 c^5 x^4 y^3+12 a b^3 c^5 x^4 y^3+4 a^3 c^6 x^4 y^3-8 a^2 b c^6 x^4 y^3+4 a b^2 c^6 x^4 y^3+4 a^2 c^7 x^4 y^3-4 a b c^7 x^4 y^3-2 a c^8 x^4 y^3-2 a^8 b x^3 y^4+16 a^7 b^2 x^3 y^4-56 a^6 b^3 x^3 y^4+112 a^5 b^4 x^3 y^4-140 a^4 b^5 x^3 y^4+112 a^3 b^6 x^3 y^4-56 a^2 b^7 x^3 y^4+16 a b^8 x^3 y^4-2 b^9 x^3 y^4-4 a^7 b c x^3 y^4+28 a^6 b^2 c x^3 y^4-84 a^5 b^3 c x^3 y^4+140 a^4 b^4 c x^3 y^4-140 a^3 b^5 c x^3 y^4+84 a^2 b^6 c x^3 y^4-28 a b^7 c x^3 y^4+4 b^8 c x^3 y^4+4 a^6 b c^2 x^3 y^4-24 a^5 b^2 c^2 x^3 y^4+60 a^4 b^3 c^2 x^3 y^4-80 a^3 b^4 c^2 x^3 y^4+60 a^2 b^5 c^2 x^3 y^4-24 a b^6 c^2 x^3 y^4+4 b^7 c^2 x^3 y^4+12 a^5 b c^3 x^3 y^4-60 a^4 b^2 c^3 x^3 y^4+120 a^3 b^3 c^3 x^3 y^4-120 a^2 b^4 c^3 x^3 y^4+60 a b^5 c^3 x^3 y^4-12 b^6 c^3 x^3 y^4-12 a^3 b c^5 x^3 y^4+36 a^2 b^2 c^5 x^3 y^4-36 a b^3 c^5 x^3 y^4+12 b^4 c^5 x^3 y^4-4 a^2 b c^6 x^3 y^4+8 a b^2 c^6 x^3 y^4-4 b^3 c^6 x^3 y^4+4 a b c^7 x^3 y^4-4 b^2 c^7 x^3 y^4+2 b c^8 x^3 y^4-a^9 x^2 y^5+8 a^8 b x^2 y^5-28 a^7 b^2 x^2 y^5+56 a^6 b^3 x^2 y^5-70 a^5 b^4 x^2 y^5+56 a^4 b^5 x^2 y^5-28 a^3 b^6 x^2 y^5+8 a^2 b^7 x^2 y^5-a b^8 x^2 y^5-2 a^8 c x^2 y^5+14 a^7 b c x^2 y^5-42 a^6 b^2 c x^2 y^5+70 a^5 b^3 c x^2 y^5-70 a^4 b^4 c x^2 y^5+42 a^3 b^5 c x^2 y^5-14 a^2 b^6 c x^2 y^5+2 a b^7 c x^2 y^5+2 a^7 c^2 x^2 y^5-12 a^6 b c^2 x^2 y^5+30 a^5 b^2 c^2 x^2 y^5-40 a^4 b^3 c^2 x^2 y^5+30 a^3 b^4 c^2 x^2 y^5-12 a^2 b^5 c^2 x^2 y^5+2 a b^6 c^2 x^2 y^5+6 a^6 c^3 x^2 y^5-30 a^5 b c^3 x^2 y^5+60 a^4 b^2 c^3 x^2 y^5-60 a^3 b^3 c^3 x^2 y^5+30 a^2 b^4 c^3 x^2 y^5-6 a b^5 c^3 x^2 y^5-6 a^4 c^5 x^2 y^5+18 a^3 b c^5 x^2 y^5-18 a^2 b^2 c^5 x^2 y^5+6 a b^3 c^5 x^2 y^5-2 a^3 c^6 x^2 y^5+4 a^2 b c^6 x^2 y^5-2 a b^2 c^6 x^2 y^5+2 a^2 c^7 x^2 y^5-2 a b c^7 x^2 y^5+a c^8 x^2 y^5+a^8 b x y^6-8 a^7 b^2 x y^6+28 a^6 b^3 x y^6-56 a^5 b^4 x y^6+70 a^4 b^5 x y^6-56 a^3 b^6 x y^6+28 a^2 b^7 x y^6-8 a b^8 x y^6+b^9 x y^6+6 a^7 b c x y^6-42 a^6 b^2 c x y^6+126 a^5 b^3 c x y^6-210 a^4 b^4 c x y^6+210 a^3 b^5 c x y^6-126 a^2 b^6 c x y^6+42 a b^7 c x y^6-6 b^8 c x y^6+14 a^6 b c^2 x y^6-84 a^5 b^2 c^2 x y^6+210 a^4 b^3 c^2 x y^6-280 a^3 b^4 c^2 x y^6+210 a^2 b^5 c^2 x y^6-84 a b^6 c^2 x y^6+14 b^7 c^2 x y^6+14 a^5 b c^3 x y^6-70 a^4 b^2 c^3 x y^6+140 a^3 b^3 c^3 x y^6-140 a^2 b^4 c^3 x y^6+70 a b^5 c^3 x y^6-14 b^6 c^3 x y^6-14 a^3 b c^5 x y^6+42 a^2 b^2 c^5 x y^6-42 a b^3 c^5 x y^6+14 b^4 c^5 x y^6-14 a^2 b c^6 x y^6+28 a b^2 c^6 x y^6-14 b^3 c^6 x y^6-6 a b c^7 x y^6+6 b^2 c^7 x y^6-b c^8 x y^6+a^9 x^6 z-6 a^8 b x^6 z+14 a^7 b^2 x^6 z-14 a^6 b^3 x^6 z+14 a^4 b^5 x^6 z-14 a^3 b^6 x^6 z+6 a^2 b^7 x^6 z-a b^8 x^6 z-8 a^8 c x^6 z+42 a^7 b c x^6 z-84 a^6 b^2 c x^6 z+70 a^5 b^3 c x^6 z-42 a^3 b^5 c x^6 z+28 a^2 b^6 c x^6 z-6 a b^7 c x^6 z+28 a^7 c^2 x^6 z-126 a^6 b c^2 x^6 z+210 a^5 b^2 c^2 x^6 z-140 a^4 b^3 c^2 x^6 z+42 a^2 b^5 c^2 x^6 z-14 a b^6 c^2 x^6 z-56 a^6 c^3 x^6 z+210 a^5 b c^3 x^6 z-280 a^4 b^2 c^3 x^6 z+140 a^3 b^3 c^3 x^6 z-14 a b^5 c^3 x^6 z+70 a^5 c^4 x^6 z-210 a^4 b c^4 x^6 z+210 a^3 b^2 c^4 x^6 z-70 a^2 b^3 c^4 x^6 z-56 a^4 c^5 x^6 z+126 a^3 b c^5 x^6 z-84 a^2 b^2 c^5 x^6 z+14 a b^3 c^5 x^6 z+28 a^3 c^6 x^6 z-42 a^2 b c^6 x^6 z+14 a b^2 c^6 x^6 z-8 a^2 c^7 x^6 z+6 a b c^7 x^6 z+a c^8 x^6 z+3 a^8 b x^5 y z-18 a^7 b^2 x^5 y z+42 a^6 b^3 x^5 y z-42 a^5 b^4 x^5 y z+42 a^3 b^6 x^5 y z-42 a^2 b^7 x^5 y z+18 a b^8 x^5 y z-3 b^9 x^5 y z-3 a^8 c x^5 y z+54 a^6 b^2 c x^5 y z-156 a^5 b^3 c x^5 y z+180 a^4 b^4 c x^5 y z-72 a^3 b^5 c x^5 y z-30 a^2 b^6 c x^5 y z+36 a b^7 c x^5 y z-9 b^8 c x^5 y z+18 a^7 c^2 x^5 y z-54 a^6 b c^2 x^5 y z+180 a^4 b^3 c^2 x^5 y z-270 a^3 b^4 c^2 x^5 y z+162 a^2 b^5 c^2 x^5 y z-36 a b^6 c^2 x^5 y z-42 a^6 c^3 x^5 y z+156 a^5 b c^3 x^5 y z-180 a^4 b^2 c^3 x^5 y z+150 a^2 b^4 c^3 x^5 y z-108 a b^5 c^3 x^5 y z+24 b^6 c^3 x^5 y z+42 a^5 c^4 x^5 y z-180 a^4 b c^4 x^5 y z+270 a^3 b^2 c^4 x^5 y z-150 a^2 b^3 c^4 x^5 y z+18 b^5 c^4 x^5 y z+72 a^3 b c^5 x^5 y z-162 a^2 b^2 c^5 x^5 y z+108 a b^3 c^5 x^5 y z-18 b^4 c^5 x^5 y z-42 a^3 c^6 x^5 y z+30 a^2 b c^6 x^5 y z+36 a b^2 c^6 x^5 y z-24 b^3 c^6 x^5 y z+42 a^2 c^7 x^5 y z-36 a b c^7 x^5 y z-18 a c^8 x^5 y z+9 b c^8 x^5 y z+3 c^9 x^5 y z-a^9 x^4 y^2 z+10 a^8 b x^4 y^2 z-38 a^7 b^2 x^4 y^2 z+70 a^6 b^3 x^4 y^2 z-56 a^5 b^4 x^4 y^2 z-14 a^4 b^5 x^4 y^2 z+70 a^3 b^6 x^4 y^2 z-62 a^2 b^7 x^4 y^2 z+25 a b^8 x^4 y^2 z-4 b^9 x^4 y^2 z+2 a^8 c x^4 y^2 z-22 a^7 b c x^4 y^2 z+88 a^6 b^2 c x^4 y^2 z-178 a^5 b^3 c x^4 y^2 z+200 a^4 b^4 c x^4 y^2 z-122 a^3 b^5 c x^4 y^2 z+32 a^2 b^6 c x^4 y^2 z+2 a b^7 c x^4 y^2 z-2 b^8 c x^4 y^2 z+4 a^7 c^2 x^4 y^2 z-18 a^6 b c^2 x^4 y^2 z+14 a^5 b^2 c^2 x^4 y^2 z+60 a^4 b^3 c^2 x^4 y^2 z-160 a^3 b^4 c^2 x^4 y^2 z+166 a^2 b^5 c^2 x^4 y^2 z-82 a b^6 c^2 x^4 y^2 z+16 b^7 c^2 x^4 y^2 z-12 a^6 c^3 x^4 y^2 z+74 a^5 b c^3 x^4 y^2 z-168 a^4 b^2 c^3 x^4 y^2 z+172 a^3 b^3 c^3 x^4 y^2 z-68 a^2 b^4 c^3 x^4 y^2 z-6 a b^5 c^3 x^4 y^2 z+8 b^6 c^3 x^4 y^2 z+2 a^5 c^4 x^4 y^2 z-30 a^4 b c^4 x^4 y^2 z+102 a^3 b^2 c^4 x^4 y^2 z-146 a^2 b^3 c^4 x^4 y^2 z+96 a b^4 c^4 x^4 y^2 z-24 b^5 c^4 x^4 y^2 z+16 a^4 c^5 x^4 y^2 z-50 a^3 b c^5 x^4 y^2 z+40 a^2 b^2 c^5 x^4 y^2 z+6 a b^3 c^5 x^4 y^2 z-12 b^4 c^5 x^4 y^2 z-12 a^3 c^6 x^4 y^2 z+42 a^2 b c^6 x^4 y^2 z-46 a b^2 c^6 x^4 y^2 z+16 b^3 c^6 x^4 y^2 z-4 a^2 c^7 x^4 y^2 z-2 a b c^7 x^4 y^2 z+8 b^2 c^7 x^4 y^2 z+7 a c^8 x^4 y^2 z-4 b c^8 x^4 y^2 z-2 c^9 x^4 y^2 z-7 a^9 x^3 y^3 z+35 a^8 b x^3 y^3 z-56 a^7 b^2 x^3 y^3 z+98 a^5 b^4 x^3 y^3 z-98 a^4 b^5 x^3 y^3 z+56 a^2 b^7 x^3 y^3 z-35 a b^8 x^3 y^3 z+7 b^9 x^3 y^3 z+14 a^8 c x^3 y^3 z-84 a^7 b c x^3 y^3 z+196 a^6 b^2 c x^3 y^3 z-196 a^5 b^3 c x^3 y^3 z+196 a^3 b^5 c x^3 y^3 z-196 a^2 b^6 c x^3 y^3 z+84 a b^7 c x^3 y^3 z-14 b^8 c x^3 y^3 z+14 a^7 c^2 x^3 y^3 z-14 a^6 b c^2 x^3 y^3 z-126 a^5 b^2 c^2 x^3 y^3 z+350 a^4 b^3 c^2 x^3 y^3 z-350 a^3 b^4 c^2 x^3 y^3 z+126 a^2 b^5 c^2 x^3 y^3 z+14 a b^6 c^2 x^3 y^3 z-14 b^7 c^2 x^3 y^3 z-42 a^6 c^3 x^3 y^3 z+168 a^5 b c^3 x^3 y^3 z-210 a^4 b^2 c^3 x^3 y^3 z+210 a^2 b^4 c^3 x^3 y^3 z-168 a b^5 c^3 x^3 y^3 z+42 b^6 c^3 x^3 y^3 z-84 a^4 b c^4 x^3 y^3 z+252 a^3 b^2 c^4 x^3 y^3 z-252 a^2 b^3 c^4 x^3 y^3 z+84 a b^4 c^4 x^3 y^3 z+42 a^4 c^5 x^3 y^3 z-84 a^3 b c^5 x^3 y^3 z+84 a b^3 c^5 x^3 y^3 z-42 b^4 c^5 x^3 y^3 z-14 a^3 c^6 x^3 y^3 z+70 a^2 b c^6 x^3 y^3 z-70 a b^2 c^6 x^3 y^3 z+14 b^3 c^6 x^3 y^3 z-14 a^2 c^7 x^3 y^3 z+14 b^2 c^7 x^3 y^3 z+7 a c^8 x^3 y^3 z-7 b c^8 x^3 y^3 z+4 a^9 x^2 y^4 z-25 a^8 b x^2 y^4 z+62 a^7 b^2 x^2 y^4 z-70 a^6 b^3 x^2 y^4 z+14 a^5 b^4 x^2 y^4 z+56 a^4 b^5 x^2 y^4 z-70 a^3 b^6 x^2 y^4 z+38 a^2 b^7 x^2 y^4 z-10 a b^8 x^2 y^4 z+b^9 x^2 y^4 z+2 a^8 c x^2 y^4 z-2 a^7 b c x^2 y^4 z-32 a^6 b^2 c x^2 y^4 z+122 a^5 b^3 c x^2 y^4 z-200 a^4 b^4 c x^2 y^4 z+178 a^3 b^5 c x^2 y^4 z-88 a^2 b^6 c x^2 y^4 z+22 a b^7 c x^2 y^4 z-2 b^8 c x^2 y^4 z-16 a^7 c^2 x^2 y^4 z+82 a^6 b c^2 x^2 y^4 z-166 a^5 b^2 c^2 x^2 y^4 z+160 a^4 b^3 c^2 x^2 y^4 z-60 a^3 b^4 c^2 x^2 y^4 z-14 a^2 b^5 c^2 x^2 y^4 z+18 a b^6 c^2 x^2 y^4 z-4 b^7 c^2 x^2 y^4 z-8 a^6 c^3 x^2 y^4 z+6 a^5 b c^3 x^2 y^4 z+68 a^4 b^2 c^3 x^2 y^4 z-172 a^3 b^3 c^3 x^2 y^4 z+168 a^2 b^4 c^3 x^2 y^4 z-74 a b^5 c^3 x^2 y^4 z+12 b^6 c^3 x^2 y^4 z+24 a^5 c^4 x^2 y^4 z-96 a^4 b c^4 x^2 y^4 z+146 a^3 b^2 c^4 x^2 y^4 z-102 a^2 b^3 c^4 x^2 y^4 z+30 a b^4 c^4 x^2 y^4 z-2 b^5 c^4 x^2 y^4 z+12 a^4 c^5 x^2 y^4 z-6 a^3 b c^5 x^2 y^4 z-40 a^2 b^2 c^5 x^2 y^4 z+50 a b^3 c^5 x^2 y^4 z-16 b^4 c^5 x^2 y^4 z-16 a^3 c^6 x^2 y^4 z+46 a^2 b c^6 x^2 y^4 z-42 a b^2 c^6 x^2 y^4 z+12 b^3 c^6 x^2 y^4 z-8 a^2 c^7 x^2 y^4 z+2 a b c^7 x^2 y^4 z+4 b^2 c^7 x^2 y^4 z+4 a c^8 x^2 y^4 z-7 b c^8 x^2 y^4 z+2 c^9 x^2 y^4 z+3 a^9 x y^5 z-18 a^8 b x y^5 z+42 a^7 b^2 x y^5 z-42 a^6 b^3 x y^5 z+42 a^4 b^5 x y^5 z-42 a^3 b^6 x y^5 z+18 a^2 b^7 x y^5 z-3 a b^8 x y^5 z+9 a^8 c x y^5 z-36 a^7 b c x y^5 z+30 a^6 b^2 c x y^5 z+72 a^5 b^3 c x y^5 z-180 a^4 b^4 c x y^5 z+156 a^3 b^5 c x y^5 z-54 a^2 b^6 c x y^5 z+3 b^8 c x y^5 z+36 a^6 b c^2 x y^5 z-162 a^5 b^2 c^2 x y^5 z+270 a^4 b^3 c^2 x y^5 z-180 a^3 b^4 c^2 x y^5 z+54 a b^6 c^2 x y^5 z-18 b^7 c^2 x y^5 z-24 a^6 c^3 x y^5 z+108 a^5 b c^3 x y^5 z-150 a^4 b^2 c^3 x y^5 z+180 a^2 b^4 c^3 x y^5 z-156 a b^5 c^3 x y^5 z+42 b^6 c^3 x y^5 z-18 a^5 c^4 x y^5 z+150 a^3 b^2 c^4 x y^5 z-270 a^2 b^3 c^4 x y^5 z+180 a b^4 c^4 x y^5 z-42 b^5 c^4 x y^5 z+18 a^4 c^5 x y^5 z-108 a^3 b c^5 x y^5 z+162 a^2 b^2 c^5 x y^5 z-72 a b^3 c^5 x y^5 z+24 a^3 c^6 x y^5 z-36 a^2 b c^6 x y^5 z-30 a b^2 c^6 x y^5 z+42 b^3 c^6 x y^5 z+36 a b c^7 x y^5 z-42 b^2 c^7 x y^5 z-9 a c^8 x y^5 z+18 b c^8 x y^5 z-3 c^9 x y^5 z+a^8 b y^6 z-6 a^7 b^2 y^6 z+14 a^6 b^3 y^6 z-14 a^5 b^4 y^6 z+14 a^3 b^6 y^6 z-14 a^2 b^7 y^6 z+6 a b^8 y^6 z-b^9 y^6 z+6 a^7 b c y^6 z-28 a^6 b^2 c y^6 z+42 a^5 b^3 c y^6 z-70 a^3 b^5 c y^6 z+84 a^2 b^6 c y^6 z-42 a b^7 c y^6 z+8 b^8 c y^6 z+14 a^6 b c^2 y^6 z-42 a^5 b^2 c^2 y^6 z+140 a^3 b^4 c^2 y^6 z-210 a^2 b^5 c^2 y^6 z+126 a b^6 c^2 y^6 z-28 b^7 c^2 y^6 z+14 a^5 b c^3 y^6 z-140 a^3 b^3 c^3 y^6 z+280 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z^2-12 a^5 c^4 x^3 y^2 z^2-30 a^4 b c^4 x^3 y^2 z^2+132 a^3 b^2 c^4 x^3 y^2 z^2-108 a^2 b^3 c^4 x^3 y^2 z^2+18 b^5 c^4 x^3 y^2 z^2+30 a^4 c^5 x^3 y^2 z^2-48 a^3 b c^5 x^3 y^2 z^2-36 a^2 b^2 c^5 x^3 y^2 z^2+72 a b^3 c^5 x^3 y^2 z^2-18 b^4 c^5 x^3 y^2 z^2-12 a^3 c^6 x^3 y^2 z^2+60 a^2 b c^6 x^3 y^2 z^2-24 a b^2 c^6 x^3 y^2 z^2-12 b^3 c^6 x^3 y^2 z^2-12 a^2 c^7 x^3 y^2 z^2-24 a b c^7 x^3 y^2 z^2+12 b^2 c^7 x^3 y^2 z^2+12 a c^8 x^3 y^2 z^2+3 b c^8 x^3 y^2 z^2-3 c^9 x^3 y^2 z^2-3 a^9 x^2 y^3 z^2+12 a^8 b x^2 y^3 z^2-12 a^7 b^2 x^2 y^3 z^2-12 a^6 b^3 x^2 y^3 z^2+30 a^5 b^4 x^2 y^3 z^2-12 a^4 b^5 x^2 y^3 z^2-12 a^3 b^6 x^2 y^3 z^2+12 a^2 b^7 x^2 y^3 z^2-3 a b^8 x^2 y^3 z^2+3 a^8 c x^2 y^3 z^2-24 a^7 b c x^2 y^3 z^2+60 a^6 b^2 c x^2 y^3 z^2-48 a^5 b^3 c x^2 y^3 z^2-30 a^4 b^4 c x^2 y^3 z^2+72 a^3 b^5 c x^2 y^3 z^2-36 a^2 b^6 c x^2 y^3 z^2+3 b^8 c x^2 y^3 z^2+12 a^7 c^2 x^2 y^3 z^2-24 a^6 b c^2 x^2 y^3 z^2-36 a^5 b^2 c^2 x^2 y^3 z^2+132 a^4 b^3 c^2 x^2 y^3 z^2-108 a^3 b^4 c^2 x^2 y^3 z^2+36 a b^6 c^2 x^2 y^3 z^2-12 b^7 c^2 x^2 y^3 z^2-12 a^6 c^3 x^2 y^3 z^2+72 a^5 b c^3 x^2 y^3 z^2-108 a^4 b^2 c^3 x^2 y^3 z^2+108 a^2 b^4 c^3 x^2 y^3 z^2-72 a b^5 c^3 x^2 y^3 z^2+12 b^6 c^3 x^2 y^3 z^2-18 a^5 c^4 x^2 y^3 z^2+108 a^3 b^2 c^4 x^2 y^3 z^2-132 a^2 b^3 c^4 x^2 y^3 z^2+30 a b^4 c^4 x^2 y^3 z^2+12 b^5 c^4 x^2 y^3 z^2+18 a^4 c^5 x^2 y^3 z^2-72 a^3 b c^5 x^2 y^3 z^2+36 a^2 b^2 c^5 x^2 y^3 z^2+48 a b^3 c^5 x^2 y^3 z^2-30 b^4 c^5 x^2 y^3 z^2+12 a^3 c^6 x^2 y^3 z^2+24 a^2 b c^6 x^2 y^3 z^2-60 a b^2 c^6 x^2 y^3 z^2+12 b^3 c^6 x^2 y^3 z^2-12 a^2 c^7 x^2 y^3 z^2+24 a b c^7 x^2 y^3 z^2+12 b^2 c^7 x^2 y^3 z^2-3 a c^8 x^2 y^3 z^2-12 b c^8 x^2 y^3 z^2+3 c^9 x^2 y^3 z^2-2 a^9 x y^4 z^2+7 a^8 b x y^4 z^2-4 a^7 b^2 x y^4 z^2-12 a^6 b^3 x y^4 z^2+16 a^5 b^4 x y^4 z^2+2 a^4 b^5 x y^4 z^2-12 a^3 b^6 x y^4 z^2+4 a^2 b^7 x y^4 z^2+2 a b^8 x y^4 z^2-b^9 x y^4 z^2-4 a^8 c x y^4 z^2-2 a^7 b c x y^4 z^2+42 a^6 b^2 c x y^4 z^2-50 a^5 b^3 c x y^4 z^2-30 a^4 b^4 c x y^4 z^2+74 a^3 b^5 c x y^4 z^2-18 a^2 b^6 c x y^4 z^2-22 a b^7 c x y^4 z^2+10 b^8 c x y^4 z^2+8 a^7 c^2 x y^4 z^2-46 a^6 b c^2 x y^4 z^2+40 a^5 b^2 c^2 x y^4 z^2+102 a^4 b^3 c^2 x y^4 z^2-168 a^3 b^4 c^2 x y^4 z^2+14 a^2 b^5 c^2 x y^4 z^2+88 a b^6 c^2 x y^4 z^2-38 b^7 c^2 x y^4 z^2+16 a^6 c^3 x y^4 z^2+6 a^5 b c^3 x y^4 z^2-146 a^4 b^2 c^3 x y^4 z^2+172 a^3 b^3 c^3 x y^4 z^2+60 a^2 b^4 c^3 x y^4 z^2-178 a b^5 c^3 x y^4 z^2+70 b^6 c^3 x y^4 z^2-12 a^5 c^4 x y^4 z^2+96 a^4 b c^4 x y^4 z^2-68 a^3 b^2 c^4 x y^4 z^2-160 a^2 b^3 c^4 x y^4 z^2+200 a b^4 c^4 x y^4 z^2-56 b^5 c^4 x y^4 z^2-24 a^4 c^5 x y^4 z^2-6 a^3 b c^5 x y^4 z^2+166 a^2 b^2 c^5 x y^4 z^2-122 a b^3 c^5 x y^4 z^2-14 b^4 c^5 x y^4 z^2+8 a^3 c^6 x y^4 z^2-82 a^2 b c^6 x y^4 z^2+32 a b^2 c^6 x y^4 z^2+70 b^3 c^6 x y^4 z^2+16 a^2 c^7 x y^4 z^2+2 a b c^7 x y^4 z^2-62 b^2 c^7 x y^4 z^2-2 a c^8 x y^4 z^2+25 b c^8 x y^4 z^2-4 c^9 x y^4 z^2-a^8 c y^5 z^2+2 a^7 b c y^5 z^2+2 a^6 b^2 c y^5 z^2-6 a^5 b^3 c y^5 z^2+6 a^3 b^5 c y^5 z^2-2 a^2 b^6 c y^5 z^2-2 a b^7 c y^5 z^2+b^8 c y^5 z^2-2 a^7 c^2 y^5 z^2-4 a^6 b c^2 y^5 z^2+18 a^5 b^2 c^2 y^5 z^2-30 a^3 b^4 c^2 y^5 z^2+12 a^2 b^5 c^2 y^5 z^2+14 a b^6 c^2 y^5 z^2-8 b^7 c^2 y^5 z^2+2 a^6 c^3 y^5 z^2-18 a^5 b c^3 y^5 z^2+60 a^3 b^3 c^3 y^5 z^2-30 a^2 b^4 c^3 y^5 z^2-42 a b^5 c^3 y^5 z^2+28 b^6 c^3 y^5 z^2+6 a^5 c^4 y^5 z^2-60 a^3 b^2 c^4 y^5 z^2+40 a^2 b^3 c^4 y^5 z^2+70 a b^4 c^4 y^5 z^2-56 b^5 c^4 y^5 z^2+30 a^3 b c^5 y^5 z^2-30 a^2 b^2 c^5 y^5 z^2-70 a b^3 c^5 y^5 z^2+70 b^4 c^5 y^5 z^2-6 a^3 c^6 y^5 z^2+12 a^2 b c^6 y^5 z^2+42 a b^2 c^6 y^5 z^2-56 b^3 c^6 y^5 z^2-2 a^2 c^7 y^5 z^2-14 a b c^7 y^5 z^2+28 b^2 c^7 y^5 z^2+2 a c^8 y^5 z^2-8 b c^8 y^5 z^2+c^9 y^5 z^2-2 a^9 x^4 z^3+4 a^8 b x^4 z^3+4 a^7 b^2 x^4 z^3-12 a^6 b^3 x^4 z^3+12 a^4 b^5 x^4 z^3-4 a^3 b^6 x^4 z^3-4 a^2 b^7 x^4 z^3+2 a b^8 x^4 z^3+16 a^8 c x^4 z^3-28 a^7 b c x^4 z^3-24 a^6 b^2 c x^4 z^3+60 a^5 b^3 c x^4 z^3-36 a^3 b^5 c x^4 z^3+8 a^2 b^6 c x^4 z^3+4 a b^7 c x^4 z^3-56 a^7 c^2 x^4 z^3+84 a^6 b c^2 x^4 z^3+60 a^5 b^2 c^2 x^4 z^3-120 a^4 b^3 c^2 x^4 z^3+36 a^2 b^5 c^2 x^4 z^3-4 a b^6 c^2 x^4 z^3+112 a^6 c^3 x^4 z^3-140 a^5 b c^3 x^4 z^3-80 a^4 b^2 c^3 x^4 z^3+120 a^3 b^3 c^3 x^4 z^3-12 a b^5 c^3 x^4 z^3-140 a^5 c^4 x^4 z^3+140 a^4 b c^4 x^4 z^3+60 a^3 b^2 c^4 x^4 z^3-60 a^2 b^3 c^4 x^4 z^3+112 a^4 c^5 x^4 z^3-84 a^3 b c^5 x^4 z^3-24 a^2 b^2 c^5 x^4 z^3+12 a b^3 c^5 x^4 z^3-56 a^3 c^6 x^4 z^3+28 a^2 b c^6 x^4 z^3+4 a b^2 c^6 x^4 z^3+16 a^2 c^7 x^4 z^3-4 a b c^7 x^4 z^3-2 a c^8 x^4 z^3+7 a^9 x^3 y z^3-14 a^8 b x^3 y z^3-14 a^7 b^2 x^3 y z^3+42 a^6 b^3 x^3 y z^3-42 a^4 b^5 x^3 y z^3+14 a^3 b^6 x^3 y z^3+14 a^2 b^7 x^3 y z^3-7 a b^8 x^3 y z^3-35 a^8 c x^3 y z^3+84 a^7 b c x^3 y z^3+14 a^6 b^2 c x^3 y z^3-168 a^5 b^3 c x^3 y z^3+84 a^4 b^4 c x^3 y z^3+84 a^3 b^5 c x^3 y z^3-70 a^2 b^6 c x^3 y z^3+7 b^8 c x^3 y z^3+56 a^7 c^2 x^3 y z^3-196 a^6 b c^2 x^3 y z^3+126 a^5 b^2 c^2 x^3 y z^3+210 a^4 b^3 c^2 x^3 y z^3-252 a^3 b^4 c^2 x^3 y z^3+70 a b^6 c^2 x^3 y z^3-14 b^7 c^2 x^3 y z^3+196 a^5 b c^3 x^3 y z^3-350 a^4 b^2 c^3 x^3 y z^3+252 a^2 b^4 c^3 x^3 y z^3-84 a b^5 c^3 x^3 y z^3-14 b^6 c^3 x^3 y z^3-98 a^5 c^4 x^3 y z^3+350 a^3 b^2 c^4 x^3 y z^3-210 a^2 b^3 c^4 x^3 y z^3-84 a b^4 c^4 x^3 y z^3+42 b^5 c^4 x^3 y z^3+98 a^4 c^5 x^3 y z^3-196 a^3 b c^5 x^3 y z^3-126 a^2 b^2 c^5 x^3 y z^3+168 a b^3 c^5 x^3 y z^3+196 a^2 b c^6 x^3 y z^3-14 a b^2 c^6 x^3 y z^3-42 b^3 c^6 x^3 y z^3-56 a^2 c^7 x^3 y z^3-84 a b c^7 x^3 y z^3+14 b^2 c^7 x^3 y z^3+35 a c^8 x^3 y z^3+14 b c^8 x^3 y z^3-7 c^9 x^3 y z^3+3 a^9 x^2 y^2 z^3-3 a^8 b x^2 y^2 z^3-12 a^7 b^2 x^2 y^2 z^3+12 a^6 b^3 x^2 y^2 z^3+18 a^5 b^4 x^2 y^2 z^3-18 a^4 b^5 x^2 y^2 z^3-12 a^3 b^6 x^2 y^2 z^3+12 a^2 b^7 x^2 y^2 z^3+3 a b^8 x^2 y^2 z^3-3 b^9 x^2 y^2 z^3-12 a^8 c x^2 y^2 z^3+24 a^7 b c x^2 y^2 z^3+24 a^6 b^2 c x^2 y^2 z^3-72 a^5 b^3 c x^2 y^2 z^3+72 a^3 b^5 c x^2 y^2 z^3-24 a^2 b^6 c x^2 y^2 z^3-24 a b^7 c x^2 y^2 z^3+12 b^8 c x^2 y^2 z^3+12 a^7 c^2 x^2 y^2 z^3-60 a^6 b c^2 x^2 y^2 z^3+36 a^5 b^2 c^2 x^2 y^2 z^3+108 a^4 b^3 c^2 x^2 y^2 z^3-108 a^3 b^4 c^2 x^2 y^2 z^3-36 a^2 b^5 c^2 x^2 y^2 z^3+60 a b^6 c^2 x^2 y^2 z^3-12 b^7 c^2 x^2 y^2 z^3+12 a^6 c^3 x^2 y^2 z^3+48 a^5 b c^3 x^2 y^2 z^3-132 a^4 b^2 c^3 x^2 y^2 z^3+132 a^2 b^4 c^3 x^2 y^2 z^3-48 a b^5 c^3 x^2 y^2 z^3-12 b^6 c^3 x^2 y^2 z^3-30 a^5 c^4 x^2 y^2 z^3+30 a^4 b c^4 x^2 y^2 z^3+108 a^3 b^2 c^4 x^2 y^2 z^3-108 a^2 b^3 c^4 x^2 y^2 z^3-30 a b^4 c^4 x^2 y^2 z^3+30 b^5 c^4 x^2 y^2 z^3+12 a^4 c^5 x^2 y^2 z^3-72 a^3 b c^5 x^2 y^2 z^3+72 a b^3 c^5 x^2 y^2 z^3-12 b^4 c^5 x^2 y^2 z^3+12 a^3 c^6 x^2 y^2 z^3+36 a^2 b c^6 x^2 y^2 z^3-36 a b^2 c^6 x^2 y^2 z^3-12 b^3 c^6 x^2 y^2 z^3-12 a^2 c^7 x^2 y^2 z^3+12 b^2 c^7 x^2 y^2 z^3+3 a c^8 x^2 y^2 z^3-3 b c^8 x^2 y^2 z^3+7 a^8 b x y^3 z^3-14 a^7 b^2 x y^3 z^3-14 a^6 b^3 x y^3 z^3+42 a^5 b^4 x y^3 z^3-42 a^3 b^6 x y^3 z^3+14 a^2 b^7 x y^3 z^3+14 a b^8 x y^3 z^3-7 b^9 x y^3 z^3-7 a^8 c x y^3 z^3+70 a^6 b^2 c x y^3 z^3-84 a^5 b^3 c x y^3 z^3-84 a^4 b^4 c x y^3 z^3+168 a^3 b^5 c x y^3 z^3-14 a^2 b^6 c x y^3 z^3-84 a b^7 c x y^3 z^3+35 b^8 c x y^3 z^3+14 a^7 c^2 x y^3 z^3-70 a^6 b c^2 x y^3 z^3+252 a^4 b^3 c^2 x y^3 z^3-210 a^3 b^4 c^2 x y^3 z^3-126 a^2 b^5 c^2 x y^3 z^3+196 a b^6 c^2 x y^3 z^3-56 b^7 c^2 x y^3 z^3+14 a^6 c^3 x y^3 z^3+84 a^5 b c^3 x y^3 z^3-252 a^4 b^2 c^3 x y^3 z^3+350 a^2 b^4 c^3 x y^3 z^3-196 a b^5 c^3 x y^3 z^3-42 a^5 c^4 x y^3 z^3+84 a^4 b c^4 x y^3 z^3+210 a^3 b^2 c^4 x y^3 z^3-350 a^2 b^3 c^4 x y^3 z^3+98 b^5 c^4 x y^3 z^3-168 a^3 b c^5 x y^3 z^3+126 a^2 b^2 c^5 x y^3 z^3+196 a b^3 c^5 x y^3 z^3-98 b^4 c^5 x y^3 z^3+42 a^3 c^6 x y^3 z^3+14 a^2 b c^6 x y^3 z^3-196 a b^2 c^6 x y^3 z^3-14 a^2 c^7 x y^3 z^3+84 a b c^7 x y^3 z^3+56 b^2 c^7 x y^3 z^3-14 a c^8 x y^3 z^3-35 b c^8 x y^3 z^3+7 c^9 x y^3 z^3-2 a^8 b y^4 z^3+4 a^7 b^2 y^4 z^3+4 a^6 b^3 y^4 z^3-12 a^5 b^4 y^4 z^3+12 a^3 b^6 y^4 z^3-4 a^2 b^7 y^4 z^3-4 a b^8 y^4 z^3+2 b^9 y^4 z^3-4 a^7 b c y^4 z^3-8 a^6 b^2 c y^4 z^3+36 a^5 b^3 c y^4 z^3-60 a^3 b^5 c y^4 z^3+24 a^2 b^6 c y^4 z^3+28 a b^7 c y^4 z^3-16 b^8 c y^4 z^3+4 a^6 b c^2 y^4 z^3-36 a^5 b^2 c^2 y^4 z^3+120 a^3 b^4 c^2 y^4 z^3-60 a^2 b^5 c^2 y^4 z^3-84 a b^6 c^2 y^4 z^3+56 b^7 c^2 y^4 z^3+12 a^5 b c^3 y^4 z^3-120 a^3 b^3 c^3 y^4 z^3+80 a^2 b^4 c^3 y^4 z^3+140 a b^5 c^3 y^4 z^3-112 b^6 c^3 y^4 z^3+60 a^3 b^2 c^4 y^4 z^3-60 a^2 b^3 c^4 y^4 z^3-140 a b^4 c^4 y^4 z^3+140 b^5 c^4 y^4 z^3-12 a^3 b c^5 y^4 z^3+24 a^2 b^2 c^5 y^4 z^3+84 a b^3 c^5 y^4 z^3-112 b^4 c^5 y^4 z^3-4 a^2 b c^6 y^4 z^3-28 a b^2 c^6 y^4 z^3+56 b^3 c^6 y^4 z^3+4 a b c^7 y^4 z^3-16 b^2 c^7 y^4 z^3+2 b c^8 y^4 z^3+2 a^8 c x^3 z^4+4 a^7 b c x^3 z^4-4 a^6 b^2 c x^3 z^4-12 a^5 b^3 c x^3 z^4+12 a^3 b^5 c x^3 z^4+4 a^2 b^6 c x^3 z^4-4 a b^7 c x^3 z^4-2 b^8 c x^3 z^4-16 a^7 c^2 x^3 z^4-28 a^6 b c^2 x^3 z^4+24 a^5 b^2 c^2 x^3 z^4+60 a^4 b^3 c^2 x^3 z^4-36 a^2 b^5 c^2 x^3 z^4-8 a b^6 c^2 x^3 z^4+4 b^7 c^2 x^3 z^4+56 a^6 c^3 x^3 z^4+84 a^5 b c^3 x^3 z^4-60 a^4 b^2 c^3 x^3 z^4-120 a^3 b^3 c^3 x^3 z^4+36 a b^5 c^3 x^3 z^4+4 b^6 c^3 x^3 z^4-112 a^5 c^4 x^3 z^4-140 a^4 b c^4 x^3 z^4+80 a^3 b^2 c^4 x^3 z^4+120 a^2 b^3 c^4 x^3 z^4-12 b^5 c^4 x^3 z^4+140 a^4 c^5 x^3 z^4+140 a^3 b c^5 x^3 z^4-60 a^2 b^2 c^5 x^3 z^4-60 a b^3 c^5 x^3 z^4-112 a^3 c^6 x^3 z^4-84 a^2 b c^6 x^3 z^4+24 a b^2 c^6 x^3 z^4+12 b^3 c^6 x^3 z^4+56 a^2 c^7 x^3 z^4+28 a b c^7 x^3 z^4-4 b^2 c^7 x^3 z^4-16 a c^8 x^3 z^4-4 b c^8 x^3 z^4+2 c^9 x^3 z^4-4 a^9 x^2 y z^4-2 a^8 b x^2 y z^4+16 a^7 b^2 x^2 y z^4+8 a^6 b^3 x^2 y z^4-24 a^5 b^4 x^2 y z^4-12 a^4 b^5 x^2 y z^4+16 a^3 b^6 x^2 y z^4+8 a^2 b^7 x^2 y z^4-4 a b^8 x^2 y z^4-2 b^9 x^2 y z^4+25 a^8 c x^2 y z^4+2 a^7 b c x^2 y z^4-82 a^6 b^2 c x^2 y z^4-6 a^5 b^3 c x^2 y z^4+96 a^4 b^4 c x^2 y z^4+6 a^3 b^5 c x^2 y z^4-46 a^2 b^6 c x^2 y z^4-2 a b^7 c x^2 y z^4+7 b^8 c x^2 y z^4-62 a^7 c^2 x^2 y z^4+32 a^6 b c^2 x^2 y z^4+166 a^5 b^2 c^2 x^2 y z^4-68 a^4 b^3 c^2 x^2 y z^4-146 a^3 b^4 c^2 x^2 y z^4+40 a^2 b^5 c^2 x^2 y z^4+42 a b^6 c^2 x^2 y z^4-4 b^7 c^2 x^2 y z^4+70 a^6 c^3 x^2 y z^4-122 a^5 b c^3 x^2 y z^4-160 a^4 b^2 c^3 x^2 y z^4+172 a^3 b^3 c^3 x^2 y z^4+102 a^2 b^4 c^3 x^2 y z^4-50 a b^5 c^3 x^2 y z^4-12 b^6 c^3 x^2 y z^4-14 a^5 c^4 x^2 y z^4+200 a^4 b c^4 x^2 y z^4+60 a^3 b^2 c^4 x^2 y z^4-168 a^2 b^3 c^4 x^2 y z^4-30 a b^4 c^4 x^2 y z^4+16 b^5 c^4 x^2 y z^4-56 a^4 c^5 x^2 y z^4-178 a^3 b c^5 x^2 y z^4+14 a^2 b^2 c^5 x^2 y z^4+74 a b^3 c^5 x^2 y z^4+2 b^4 c^5 x^2 y z^4+70 a^3 c^6 x^2 y z^4+88 a^2 b c^6 x^2 y z^4-18 a b^2 c^6 x^2 y z^4-12 b^3 c^6 x^2 y z^4-38 a^2 c^7 x^2 y z^4-22 a b c^7 x^2 y z^4+4 b^2 c^7 x^2 y z^4+10 a c^8 x^2 y z^4+2 b c^8 x^2 y z^4-c^9 x^2 y z^4+2 a^9 x y^2 z^4+4 a^8 b x y^2 z^4-8 a^7 b^2 x y^2 z^4-16 a^6 b^3 x y^2 z^4+12 a^5 b^4 x y^2 z^4+24 a^4 b^5 x y^2 z^4-8 a^3 b^6 x y^2 z^4-16 a^2 b^7 x y^2 z^4+2 a b^8 x y^2 z^4+4 b^9 x y^2 z^4-7 a^8 c x y^2 z^4+2 a^7 b c x y^2 z^4+46 a^6 b^2 c x y^2 z^4-6 a^5 b^3 c x y^2 z^4-96 a^4 b^4 c x y^2 z^4+6 a^3 b^5 c x y^2 z^4+82 a^2 b^6 c x y^2 z^4-2 a b^7 c x y^2 z^4-25 b^8 c x y^2 z^4+4 a^7 c^2 x y^2 z^4-42 a^6 b c^2 x y^2 z^4-40 a^5 b^2 c^2 x y^2 z^4+146 a^4 b^3 c^2 x y^2 z^4+68 a^3 b^4 c^2 x y^2 z^4-166 a^2 b^5 c^2 x y^2 z^4-32 a b^6 c^2 x y^2 z^4+62 b^7 c^2 x y^2 z^4+12 a^6 c^3 x y^2 z^4+50 a^5 b c^3 x y^2 z^4-102 a^4 b^2 c^3 x y^2 z^4-172 a^3 b^3 c^3 x y^2 z^4+160 a^2 b^4 c^3 x y^2 z^4+122 a b^5 c^3 x y^2 z^4-70 b^6 c^3 x y^2 z^4-16 a^5 c^4 x y^2 z^4+30 a^4 b c^4 x y^2 z^4+168 a^3 b^2 c^4 x y^2 z^4-60 a^2 b^3 c^4 x y^2 z^4-200 a b^4 c^4 x y^2 z^4+14 b^5 c^4 x y^2 z^4-2 a^4 c^5 x y^2 z^4-74 a^3 b c^5 x y^2 z^4-14 a^2 b^2 c^5 x y^2 z^4+178 a b^3 c^5 x y^2 z^4+56 b^4 c^5 x y^2 z^4+12 a^3 c^6 x y^2 z^4+18 a^2 b c^6 x y^2 z^4-88 a b^2 c^6 x y^2 z^4-70 b^3 c^6 x y^2 z^4-4 a^2 c^7 x y^2 z^4+22 a b c^7 x y^2 z^4+38 b^2 c^7 x y^2 z^4-2 a c^8 x y^2 z^4-10 b c^8 x y^2 z^4+c^9 x y^2 z^4+2 a^8 c y^3 z^4+4 a^7 b c y^3 z^4-4 a^6 b^2 c y^3 z^4-12 a^5 b^3 c y^3 z^4+12 a^3 b^5 c y^3 z^4+4 a^2 b^6 c y^3 z^4-4 a b^7 c y^3 z^4-2 b^8 c y^3 z^4-4 a^7 c^2 y^3 z^4+8 a^6 b c^2 y^3 z^4+36 a^5 b^2 c^2 y^3 z^4-60 a^3 b^4 c^2 y^3 z^4-24 a^2 b^5 c^2 y^3 z^4+28 a b^6 c^2 y^3 z^4+16 b^7 c^2 y^3 z^4-4 a^6 c^3 y^3 z^4-36 a^5 b c^3 y^3 z^4+120 a^3 b^3 c^3 y^3 z^4+60 a^2 b^4 c^3 y^3 z^4-84 a b^5 c^3 y^3 z^4-56 b^6 c^3 y^3 z^4+12 a^5 c^4 y^3 z^4-120 a^3 b^2 c^4 y^3 z^4-80 a^2 b^3 c^4 y^3 z^4+140 a b^4 c^4 y^3 z^4+112 b^5 c^4 y^3 z^4+60 a^3 b c^5 y^3 z^4+60 a^2 b^2 c^5 y^3 z^4-140 a b^3 c^5 y^3 z^4-140 b^4 c^5 y^3 z^4-12 a^3 c^6 y^3 z^4-24 a^2 b c^6 y^3 z^4+84 a b^2 c^6 y^3 z^4+112 b^3 c^6 y^3 z^4+4 a^2 c^7 y^3 z^4-28 a b c^7 y^3 z^4-56 b^2 c^7 y^3 z^4+4 a c^8 y^3 z^4+16 b c^8 y^3 z^4-2 c^9 y^3 z^4+a^9 x^2 z^5+2 a^8 b x^2 z^5-2 a^7 b^2 x^2 z^5-6 a^6 b^3 x^2 z^5+6 a^4 b^5 x^2 z^5+2 a^3 b^6 x^2 z^5-2 a^2 b^7 x^2 z^5-a b^8 x^2 z^5-8 a^8 c x^2 z^5-14 a^7 b c x^2 z^5+12 a^6 b^2 c x^2 z^5+30 a^5 b^3 c x^2 z^5-18 a^3 b^5 c x^2 z^5-4 a^2 b^6 c x^2 z^5+2 a b^7 c x^2 z^5+28 a^7 c^2 x^2 z^5+42 a^6 b c^2 x^2 z^5-30 a^5 b^2 c^2 x^2 z^5-60 a^4 b^3 c^2 x^2 z^5+18 a^2 b^5 c^2 x^2 z^5+2 a b^6 c^2 x^2 z^5-56 a^6 c^3 x^2 z^5-70 a^5 b c^3 x^2 z^5+40 a^4 b^2 c^3 x^2 z^5+60 a^3 b^3 c^3 x^2 z^5-6 a b^5 c^3 x^2 z^5+70 a^5 c^4 x^2 z^5+70 a^4 b c^4 x^2 z^5-30 a^3 b^2 c^4 x^2 z^5-30 a^2 b^3 c^4 x^2 z^5-56 a^4 c^5 x^2 z^5-42 a^3 b c^5 x^2 z^5+12 a^2 b^2 c^5 x^2 z^5+6 a b^3 c^5 x^2 z^5+28 a^3 c^6 x^2 z^5+14 a^2 b c^6 x^2 z^5-2 a b^2 c^6 x^2 z^5-8 a^2 c^7 x^2 z^5-2 a b c^7 x^2 z^5+a c^8 x^2 z^5-3 a^9 x y z^5-9 a^8 b x y z^5+24 a^6 b^3 x y z^5+18 a^5 b^4 x y z^5-18 a^4 b^5 x y z^5-24 a^3 b^6 x y z^5+9 a b^8 x y z^5+3 b^9 x y z^5+18 a^8 c x y z^5+36 a^7 b c x y z^5-36 a^6 b^2 c x y z^5-108 a^5 b^3 c x y z^5+108 a^3 b^5 c x y z^5+36 a^2 b^6 c x y z^5-36 a b^7 c x y z^5-18 b^8 c x y z^5-42 a^7 c^2 x y z^5-30 a^6 b c^2 x y z^5+162 a^5 b^2 c^2 x y z^5+150 a^4 b^3 c^2 x y z^5-150 a^3 b^4 c^2 x y z^5-162 a^2 b^5 c^2 x y z^5+30 a b^6 c^2 x y z^5+42 b^7 c^2 x y z^5+42 a^6 c^3 x y z^5-72 a^5 b c^3 x y z^5-270 a^4 b^2 c^3 x y z^5+270 a^2 b^4 c^3 x y z^5+72 a b^5 c^3 x y z^5-42 b^6 c^3 x y z^5+180 a^4 b c^4 x y z^5+180 a^3 b^2 c^4 x y z^5-180 a^2 b^3 c^4 x y z^5-180 a b^4 c^4 x y z^5-42 a^4 c^5 x y z^5-156 a^3 b c^5 x y z^5+156 a b^3 c^5 x y z^5+42 b^4 c^5 x y z^5+42 a^3 c^6 x y z^5+54 a^2 b c^6 x y z^5-54 a b^2 c^6 x y z^5-42 b^3 c^6 x y z^5-18 a^2 c^7 x y z^5+18 b^2 c^7 x y z^5+3 a c^8 x y z^5-3 b c^8 x y z^5+a^8 b y^2 z^5+2 a^7 b^2 y^2 z^5-2 a^6 b^3 y^2 z^5-6 a^5 b^4 y^2 z^5+6 a^3 b^6 y^2 z^5+2 a^2 b^7 y^2 z^5-2 a b^8 y^2 z^5-b^9 y^2 z^5-2 a^7 b c y^2 z^5+4 a^6 b^2 c y^2 z^5+18 a^5 b^3 c y^2 z^5-30 a^3 b^5 c y^2 z^5-12 a^2 b^6 c y^2 z^5+14 a b^7 c y^2 z^5+8 b^8 c y^2 z^5-2 a^6 b c^2 y^2 z^5-18 a^5 b^2 c^2 y^2 z^5+60 a^3 b^4 c^2 y^2 z^5+30 a^2 b^5 c^2 y^2 z^5-42 a b^6 c^2 y^2 z^5-28 b^7 c^2 y^2 z^5+6 a^5 b c^3 y^2 z^5-60 a^3 b^3 c^3 y^2 z^5-40 a^2 b^4 c^3 y^2 z^5+70 a b^5 c^3 y^2 z^5+56 b^6 c^3 y^2 z^5+30 a^3 b^2 c^4 y^2 z^5+30 a^2 b^3 c^4 y^2 z^5-70 a b^4 c^4 y^2 z^5-70 b^5 c^4 y^2 z^5-6 a^3 b c^5 y^2 z^5-12 a^2 b^2 c^5 y^2 z^5+42 a b^3 c^5 y^2 z^5+56 b^4 c^5 y^2 z^5+2 a^2 b c^6 y^2 z^5-14 a b^2 c^6 y^2 z^5-28 b^3 c^6 y^2 z^5+2 a b c^7 y^2 z^5+8 b^2 c^7 y^2 z^5-b c^8 y^2 z^5-a^8 c x z^6-6 a^7 b c x z^6-14 a^6 b^2 c x z^6-14 a^5 b^3 c x z^6+14 a^3 b^5 c x z^6+14 a^2 b^6 c x z^6+6 a b^7 c x z^6+b^8 c x z^6+8 a^7 c^2 x z^6+42 a^6 b c^2 x z^6+84 a^5 b^2 c^2 x z^6+70 a^4 b^3 c^2 x z^6-42 a^2 b^5 c^2 x z^6-28 a b^6 c^2 x z^6-6 b^7 c^2 x z^6-28 a^6 c^3 x z^6-126 a^5 b c^3 x z^6-210 a^4 b^2 c^3 x z^6-140 a^3 b^3 c^3 x z^6+42 a b^5 c^3 x z^6+14 b^6 c^3 x z^6+56 a^5 c^4 x z^6+210 a^4 b c^4 x z^6+280 a^3 b^2 c^4 x z^6+140 a^2 b^3 c^4 x z^6-14 b^5 c^4 x z^6-70 a^4 c^5 x z^6-210 a^3 b c^5 x z^6-210 a^2 b^2 c^5 x z^6-70 a b^3 c^5 x z^6+56 a^3 c^6 x z^6+126 a^2 b c^6 x z^6+84 a b^2 c^6 x z^6+14 b^3 c^6 x z^6-28 a^2 c^7 x z^6-42 a b c^7 x z^6-14 b^2 c^7 x z^6+8 a c^8 x z^6+6 b c^8 x z^6-c^9 x z^6-a^8 c y z^6-6 a^7 b c y z^6-14 a^6 b^2 c y z^6-14 a^5 b^3 c y z^6+14 a^3 b^5 c y z^6+14 a^2 b^6 c y z^6+6 a b^7 c y z^6+b^8 c y z^6+6 a^7 c^2 y z^6+28 a^6 b c^2 y z^6+42 a^5 b^2 c^2 y z^6-70 a^3 b^4 c^2 y z^6-84 a^2 b^5 c^2 y z^6-42 a b^6 c^2 y z^6-8 b^7 c^2 y z^6-14 a^6 c^3 y z^6-42 a^5 b c^3 y z^6+140 a^3 b^3 c^3 y z^6+210 a^2 b^4 c^3 y z^6+126 a b^5 c^3 y z^6+28 b^6 c^3 y z^6+14 a^5 c^4 y z^6-140 a^3 b^2 c^4 y z^6-280 a^2 b^3 c^4 y z^6-210 a b^4 c^4 y z^6-56 b^5 c^4 y z^6+70 a^3 b c^5 y z^6+210 a^2 b^2 c^5 y z^6+210 a b^3 c^5 y z^6+70 b^4 c^5 y z^6-14 a^3 c^6 y z^6-84 a^2 b c^6 y z^6-126 a b^2 c^6 y z^6-56 b^3 c^6 y z^6+14 a^2 c^7 y z^6+42 a b c^7 y z^6+28 b^2 c^7 y z^6-6 a c^8 y z^6-8 b c^8 y z^6+c^9 y z^6 = 0