-(b^2-c^2) (20 a^28-138 a^26 (b^2+c^2)+a^24 (405 b^4+822 b^2 c^2+405 c^4)-a^22 (671 b^6+2089 b^4 c^2+2089 b^2 c^4+671 c^6)+a^20 (729 b^8+3058 b^6 c^2+4354 b^4 c^4+3058 b^2 c^6+729 c^8)-3 a^18 (201 b^10+1020 b^8 c^2+1663 b^6 c^4+1663 b^4 c^6+1020 b^2 c^8+201 c^10)-(b^2-c^2)^8 (18 b^12+63 b^10 c^2+127 b^8 c^4+160 b^6 c^6+127 b^4 c^8+63 b^2 c^10+18 c^12)+a^16 (408 b^12+2343 b^10 c^2+4364 b^8 c^4+2906 b^6 c^6+4364 b^4 c^8+2343 b^2 c^10+408 c^12)+a^2 (b^2-c^2)^6 (117 b^14+200 b^12 c^2+136 b^10 c^4-93 b^8 c^6-93 b^6 c^8+136 b^4 c^10+200 b^2 c^12+117 c^14)-a^14 (198 b^14+1236 b^12 c^2+3967 b^10 c^4+335 b^8 c^6+335 b^6 c^8+3967 b^4 c^10+1236 b^2 c^12+198 c^14)+a^12 (54 b^16+306 b^14 c^2+2318 b^12 c^4+2512 b^10 c^6-5400 b^8 c^8+2512 b^6 c^10+2318 b^4 c^12+306 b^2 c^14+54 c^16)-a^4 (b^2-c^2)^4 (307 b^16-96 b^14 c^2-468 b^12 c^4-33 b^10 c^6+715 b^8 c^8-33 b^6 c^10-468 b^4 c^12-96 b^2 c^14+307 c^16)+a^10 (64 b^18-444 b^16 c^2+968 b^14 c^4-4999 b^12 c^6+3777 b^10 c^8+3777 b^8 c^10-4999 b^6 c^12+968 b^4 c^14-444 b^2 c^16+64 c^18)+a^6 (b^2-c^2)^2 (405 b^18-1065 b^16 c^2+371 b^14 c^4+1574 b^12 c^6-1483 b^10 c^8-1483 b^8 c^10+1574 b^6 c^12+371 b^4 c^14-1065 b^2 c^16+405 c^18)+a^8 (-267 b^20+1410 b^18 c^2-3076 b^16 c^4+2935 b^14 c^6+2790 b^12 c^8-7440 b^10 c^10+2790 b^8 c^12+2935 b^6 c^14-3076 b^4 c^16+1410 b^2 c^18-267 c^20))x-  (a^2-c^2) (18 a^28-9 a^26 (13 b^2+9 c^2)+a^24 (307 b^4+502 b^2 c^2+127 c^4)-a^22 (405 b^6+1324 b^4 c^2+691 b^2 c^4+100 c^6)+3 a^20 (89 b^8+625 b^6 c^2+586 b^4 c^4+83 b^2 c^6+45 c^8)-(b^2-c^2)^9 (20 b^10+42 b^8 c^2+63 b^6 c^4+64 b^4 c^6+45 b^2 c^8+18 c^10)-a^18 (64 b^10+1410 b^8 c^2+2906 b^6 c^4-35 b^4 c^6+260 b^2 c^8+183 c^10)+a^16 (-54 b^12+444 b^10 c^2+3076 b^8 c^4+233 b^6 c^6-1270 b^4 c^8+1123 b^2 c^10-24 c^12)+a^2 (b^2-c^2)^7 (138 b^12+144 b^10 c^2+199 b^8 c^4+141 b^6 c^6+78 b^4 c^8+65 b^2 c^10+81 c^12)-a^4 (b^2-c^2)^5 (405 b^14-64 b^12 c^2-16 b^10 c^4-379 b^8 c^6-36 b^6 c^8+208 b^4 c^10-56 b^2 c^12+127 c^14)+a^14 (198 b^14-306 b^12 c^2-968 b^10 c^4-2935 b^8 c^6+4260 b^6 c^8-1315 b^4 c^10-806 b^2 c^12+216 c^14)-a^12 (408 b^16-1236 b^14 c^2+2318 b^12 c^4-4999 b^10 c^6+2790 b^8 c^8+3057 b^6 c^10-3618 b^4 c^12+806 b^2 c^14+24 c^16)+a^6 (b^2-c^2)^3 (671 b^16-1045 b^14 c^2-159 b^12 c^4+423 b^10 c^6+1036 b^8 c^8-832 b^6 c^10-182 b^4 c^12+51 b^2 c^14+100 c^16)+a^10 (603 b^18-2343 b^16 c^2+3967 b^14 c^4-2512 b^12 c^6-3777 b^10 c^8+7440 b^8 c^10-3057 b^6 c^12-1315 b^4 c^14+1123 b^2 c^16-183 c^18)+a^8 (-729 b^20+3060 b^18 c^2-4364 b^16 c^4+335 b^14 c^6+5400 b^12 c^8-3777 b^10 c^10-2790 b^8 c^12+4260 b^6 c^14-1270 b^4 c^16-260 b^2 c^18+135 c^20))y+(a^2-b^2) (18 a^28-9 a^26 (9 b^2+13 c^2)+a^24 (127 b^4+502 b^2 c^2+307 c^4)-a^22 (100 b^6+691 b^4 c^2+1324 b^2 c^4+405 c^6)+3 a^20 (45 b^8+83 b^6 c^2+586 b^4 c^4+625 b^2 c^6+89 c^8)+(b^2-c^2)^9 (18 b^10+45 b^8 c^2+64 b^6 c^4+63 b^4 c^6+42 b^2 c^8+20 c^10)-a^18 (183 b^10+260 b^8 c^2-35 b^6 c^4+2906 b^4 c^6+1410 b^2 c^8+64 c^10)+a^16 (-24 b^12+1123 b^10 c^2-1270 b^8 c^4+233 b^6 c^6+3076 b^4 c^8+444 b^2 c^10-54 c^12)-a^2 (b^2-c^2)^7 (81 b^12+65 b^10 c^2+78 b^8 c^4+141 b^6 c^6+199 b^4 c^8+144 b^2 c^10+138 c^12)+a^14 (216 b^14-806 b^12 c^2-1315 b^10 c^4+4260 b^8 c^6-2935 b^6 c^8-968 b^4 c^10-306 b^2 c^12+198 c^14)+a^4 (b^2-c^2)^5 (127 b^14-56 b^12 c^2+208 b^10 c^4-36 b^8 c^6-379 b^6 c^8-16 b^4 c^10-64 b^2 c^12+405 c^14)-a^12 (24 b^16+806 b^14 c^2-3618 b^12 c^4+3057 b^10 c^6+2790 b^8 c^8-4999 b^6 c^10+2318 b^4 c^12-1236 b^2 c^14+408 c^16)-a^6 (b^2-c^2)^3 (100 b^16+51 b^14 c^2-182 b^12 c^4-832 b^10 c^6+1036 b^8 c^8+423 b^6 c^10-159 b^4 c^12-1045 b^2 c^14+671 c^16)-a^10 (183 b^18-1123 b^16 c^2+1315 b^14 c^4+3057 b^12 c^6-7440 b^10 c^8+3777 b^8 c^10+2512 b^6 c^12-3967 b^4 c^14+2343 b^2 c^16-603 c^18)+a^8 (135 b^20-260 b^18 c^2-1270 b^16 c^4+4260 b^14 c^6-2790 b^12 c^8-3777 b^10 c^10+5400 b^8 c^12+335 b^6 c^14-4364 b^4 c^16+3060 b^2 c^18-729 c^20)) z = 0