V2(P) = a^18 q^3 r^3 (-p^2 + q r) - (b^2 - c^2)^4 p^4 (q + r) (c^2 q + b^2 r)^2 (c^6 q - b^2 c^4 (p + q) + b^6 r - b^4 c^2 (p + r)) + a^16 q^2 r^2 (b^2 r (-2 p^3 + 2 p q r - q r (4 q + r) + p^2 (5 q + r)) + c^2 q (-2 p^3 + 2 p q r - q r (q + 4 r) + p^2 (q + 5 r))) - a^14 q r (b^4 r^2 (p^4 - 2 q^2 r (3 q + r) - 2 p^3 (5 q + r) + p q r (8 q + 3 r) + p^2 q (9 q + 4 r)) + c^4 q^2 (p^4 - 2 q r^2 (q + 3 r) - 2 p^3 (q + 5 r) + p q r (3 q + 8 r) + p^2 r (4 q + 9 r)) + b^2 c^2 q r (4 p^4 - 11 p^3 (q + r) + 7 p q r (q + r) - q r (3 q^2 + 10 q r + 3 r^2) + p^2 (3 q^2 + 11 q r + 3 r^2))) + a^12 (b^6 r^3 (-4 q^4 r + 6 p q^2 r (2 q + r) + p^4 (5 q + r) - 2 p^3 q (9 q + 5 r) + p^2 q (5 q^2 + 5 q r - 3 r^2)) + c^6 q^3 (-4 q r^4 + 6 p q r^2 (q + 2 r) + p^4 (q + 5 r) - 2 p^3 r (5 q + 9 r) + p^2 r (-3 q^2 + 5 q r + 5 r^2)) + b^4 c^2 q r^2 (-2 p^5 - 3 q^2 r (q + r)^2 + p^4 (19 q + 8 r) + p^2 r (4 q^2 + q r - r^2) + p q r (9 q^2 + 16 q r + 5 r^2) - p^3 (21 q^2 + 32 q r + 6 r^2)) + b^2 c^4 q^2 r (-2 p^5 - 3 q r^2 (q + r)^2 + p^4 (8 q + 19 r) + p^2 q (-q^2 + q r + 4 r^2) + p q r (5 q^2 + 16 q r + 9 r^2) - p^3 (6 q^2 + 32 q r + 21 r^2))) - a^2 (b^2 - c^2)^2 p^3 (c^2 q + b^2 r) (-c^10 q^2 (3 p q + q^2 + 5 p r - 2 q r - 2 r^2) - b^10 r^2 (5 p q - 2 q^2 + 3 p r - 2 q r + r^2) + b^2 c^8 q (2 q^3 - 6 q^2 r - 3 q r^2 + 2 r^3 + p^2 (q + 3 r) + p (3 q^2 + q r - 6 r^2)) + b^8 c^2 r (2 q^3 - 3 q^2 r - 6 q r^2 + 2 r^3 + p^2 (3 q + r) + p (-6 q^2 + q r + 3 r^2)) + b^4 c^6 (p^3 (q + r) + p^2 (2 q^2 + 3 q r + 3 r^2) + q (-q^3 + 8 q^2 r + q r^2 - 6 r^3) + 2 p (q^3 + 3 q^2 r + 2 q r^2 - r^3)) + b^6 c^4 (p^3 (q + r) + p^2 (3 q^2 + 3 q r + 2 r^2) + r (-6 q^3 + q^2 r + 8 q r^2 - r^3) + p (-2 q^3 + 4 q^2 r + 6 q r^2 + 2 r^3))) + a^10 (b^8 r^3 (-8 p q^3 r + q^3 (q - 2 r) r - p^4 (9 q + 5 r) + p^3 (10 q^2 + 18 q r - r^2) + p^2 (5 q^3 + 6 q r^2)) + b^6 c^2 r^2 (q^3 (q - r)^2 r + p^5 (9 q + 2 r) - 3 p^4 (11 q^2 + 9 q r + r^2) - p q^2 r (5 q^2 + 6 q r + 5 r^2) + p^3 (10 q^3 + 31 q^2 r + 7 q r^2 - r^3) + p^2 q (10 q^3 + 2 q^2 r + 6 q r^2 + 3 r^3)) + c^8 q^3 (-8 p q r^3 + q r^3 (-2 q + r) - p^4 (5 q + 9 r) + p^3 (-q^2 + 18 q r + 10 r^2) + p^2 (6 q^2 r + 5 r^3)) + b^2 c^6 q^2 (q (q - r)^2 r^3 + p^5 (2 q + 9 r) - p q r^2 (5 q^2 + 6 q r + 5 r^2) - 3 p^4 (q^2 + 9 q r + 11 r^2) + p^2 r (3 q^3 + 6 q^2 r + 2 q r^2 + 10 r^3) + p^3 (-q^3 + 7 q^2 r + 31 q r^2 + 10 r^3)) + b^4 c^4 q r (-p^6 + 2 q^3 r^3 + 10 p^5 (q + r) - 2 p^4 (9 q^2 + 25 q r + 9 r^2) - p q r (q^3 + 7 q^2 r + 7 q r^2 + r^3) + 2 p^3 (q^3 + 14 q^2 r + 14 q r^2 + r^3) + 2 p^2 (2 q^4 + 3 q^3 r + 6 q^2 r^2 + 3 q r^3 + 2 r^4))) + a^8 (b^10 r^3 (2 p q^2 (q - 3 r) r + q^3 r^2 - p^2 q^2 (9 q + 5 r) + p^4 (5 q + 9 r) + 2 p^3 (5 q^2 - 6 q r + r^2)) + c^10 q^3 (q^2 r^3 + 2 p q r^2 (-3 q + r) + p^4 (9 q + 5 r) - p^2 r^2 (5 q + 9 r) + 2 p^3 (q^2 - 6 q r + 5 r^2)) + b^8 c^2 r^2 (q^3 (2 q - r) r^2 - p^5 (15 q + 8 r) + p^4 (20 q^2 + 32 q r + 3 r^2) + p q^2 r (q^2 - 8 q r + 7 r^2) - p^2 q (15 q^3 - 5 q^2 r - 6 q r^2 + r^3) + p^3 (20 q^3 - 16 q^2 r + 4 q r^2 + r^3)) + b^2 c^8 q^2 (-q^2 (q - 2 r) r^3 - p^5 (8 q + 15 r) + p q r^2 (7 q^2 - 8 q r + r^2) + p^4 (3 q^2 + 32 q r + 20 r^2) - p^2 r (q^3 - 6 q^2 r - 5 q r^2 + 15 r^3) + p^3 (q^3 + 4 q^2 r - 16 q r^2 + 20 r^3)) + b^6 c^4 r (p^6 (4 q + r) - p q^3 r (q^2 + 2 q r - 7 r^2) + q^3 r^2 (q^2 - 2 q r - r^2) - p^5 (18 q^2 + 25 q r + 6 r^2) + p^4 (11 q^3 + 41 q^2 r + 22 q r^2 + r^3) + p^2 q (-6 q^4 + 8 q^3 r - 2 q r^3 + 3 r^4) + p^3 (12 q^4 - 9 q^3 r - q^2 r^2 + 2 q r^3 + 3 r^4)) + b^4 c^6 q (p^6 (q + 4 r) + p q r^3 (7 q^2 - 2 q r - r^2) + q^2 r^3 (-q^2 - 2 q r + r^2) - p^5 (6 q^2 + 25 q r + 18 r^2) + p^4 (q^3 + 22 q^2 r + 41 q r^2 + 11 r^3) + p^2 r (3 q^4 - 2 q^3 r + 8 q r^3 - 6 r^4) + p^3 (3 q^4 + 2 q^3 r - q^2 r^2 - 9 q r^3 + 12 r^4))) + a^6 p (b^12 r^3 (p^3 (5 q - 6 r) + 3 q^2 r^2 - 2 p^2 q (9 q + r) + p q (5 q^2 + 4 q r - 6 r^2)) + c^12 q^3 (3 q^2 r^2 + p^3 (-6 q + 5 r) - 2 p^2 r (q + 9 r) + p r (-6 q^2 + 4 q r + 5 r^2)) + b^10 c^2 r^2 (q^2 (5 q - 7 r) r^2 + p^4 (10 q + 11 r) + p^3 (10 q^2 - 17 q r + 4 r^2) + p^2 (-33 q^3 + 17 q^2 r + 6 q r^2 + r^3) + p q (9 q^3 - 7 q^2 r - 19 q r^2 + 9 r^3)) + b^2 c^10 q^2 (q^2 r^2 (-7 q + 5 r) + p^4 (11 q + 10 r) + p^3 (4 q^2 - 17 q r + 10 r^2) + p^2 (q^3 + 6 q^2 r + 17 q r^2 - 33 r^3) + p r (9 q^3 - 19 q^2 r - 7 q r^2 + 9 r^3)) + b^4 c^8 q (-3 p^5 (q + 2 r) + q^2 r^2 (5 q^2 - 9 q r + r^2) + 2 p^4 (3 q^2 + 10 q r + 6 r^2) + p r^2 (18 q^3 - 7 q^2 r - 18 q r^2 + 4 r^3) + p^3 (q^3 + 4 q^2 r - 15 q r^2 + 11 r^3) + p^2 (2 q^4 + 3 q^2 r^2 + 29 q r^3 - 18 r^4)) + b^8 c^4 r (-3 p^5 (2 q + r) + 2 p^4 (6 q^2 + 10 q r + 3 r^2) + q^2 r^2 (q^2 - 9 q r + 5 r^2) + p^3 (11 q^3 - 15 q^2 r + 4 q r^2 + r^3) + p q^2 (4 q^3 - 18 q^2 r - 7 q r^2 + 18 r^3) + p^2 (-18 q^4 + 29 q^3 r + 3 q^2 r^2 + 2 r^4)) + b^6 c^6 (-p^5 (3 q^2 + 8 q r + 3 r^2) - q^2 r^2 (q^3 - 3 q^2 r - 3 q r^2 + r^3) + p^4 (5 q^3 + 16 q^2 r + 16 q r^2 + 5 r^3) + p q r (-7 q^4 + 6 q^3 r + 18 q^2 r^2 + 6 q r^3 - 7 r^4) + p^3 (5 q^4 - 3 q^3 r + 2 q^2 r^2 - 3 q r^3 + 5 r^4) + p^2 (-3 q^5 + 14 q^4 r + 2 q^3 r^2 + 2 q^2 r^3 + 14 q r^4 - 3 r^5))) + a^4 p^2 (-b^14 r^3 (p^2 (9 q + r) + q (q^2 + q r - 3 r^2) - 2 p (5 q^2 + 3 q r - r^2)) - c^14 q^3 (p^2 (q + 9 r) + 2 p (q^2 - 3 q r - 5 r^2) + r (-3 q^2 + q r + r^2)) + b^12 c^2 r^2 (-5 p^3 r + 3 p^2 q (-7 q + 3 r) + q (-2 q^3 + 2 q^2 r + 9 q r^2 - 10 r^3) + p (19 q^3 - 16 q^2 r - 22 q r^2 + 3 r^3)) + b^2 c^12 q^2 (-5 p^3 q + 3 p^2 (3 q - 7 r) r + r (-10 q^3 + 9 q^2 r + 2 q r^2 - 2 r^3) + p (3 q^3 - 22 q^2 r - 16 q r^2 + 19 r^3)) + b^10 c^4 r (p^4 (4 q + 3 r) + p^3 (2 q^2 - 6 q r + 3 r^2) + p^2 (-18 q^3 + 22 q^2 r - q r^2 + r^3) - q (q^4 - 7 q^3 r + 22 q r^3 - 13 r^4) + p (10 q^4 - 43 q^3 r - 10 q^2 r^2 + 22 q r^3 + r^4)) + b^4 c^10 q (p^4 (3 q + 4 r) + p^3 (3 q^2 - 6 q r + 2 r^2) + p^2 (q^3 - q^2 r + 22 q r^2 - 18 r^3) - r (-13 q^4 + 22 q^3 r - 7 q r^3 + r^4) + p (q^4 + 22 q^3 r - 10 q^2 r^2 - 43 q r^3 + 10 r^4)) + b^8 c^6 (p^4 (3 q^2 + 4 q r + 2 r^2) + p^3 (q^3 - 2 q^2 r + 6 q r^2 + r^3) + q r (4 q^4 - 15 q^3 r - q^2 r^2 + 24 q r^3 - 9 r^4) + p^2 (-6 q^4 + 18 q^3 r - q^2 r^2 + q r^3 + 6 r^4) + p (q^5 - 24 q^4 r + 17 q^3 r^2 + 23 q^2 r^3 + 8 q r^4 - 3 r^5)) + b^6 c^8 (p^4 (2 q^2 + 4 q r + 3 r^2) + p^3 (q^3 + 6 q^2 r - 2 q r^2 + r^3) + p^2 (6 q^4 + q^3 r - q^2 r^2 + 18 q r^3 - 6 r^4) - q r (9 q^4 - 24 q^3 r + q^2 r^2 + 15 q r^3 - 4 r^4) + p (-3 q^5 + 8 q^4 r + 23 q^3 r^2 + 17 q^2 r^3 - 24 q r^4 + r^5))) T(P) = (c^2 p q - b^2 p (p + q) - a^2 q (p + q)) (-b^2 p r + c^2 p (p + r) + a^2 r (p + r)) (a^6 q r + (b^2 - c^2)^2 p (c^2 q + b^2 r) - a^2 (c^4 q (p + q) + b^4 (2 p - q) r + b^2 c^2 q (p - q + r)) - a^4 (-b^2 (p - 2 q) r + c^2 q (q + r))) (a^6 q r + (b^2 - c^2)^2 p (c^2 q + b^2 r) - a^2 (c^4 q (2 p - r) + b^2 c^2 (p + q - r) r + b^4 r (p + r)) + a^4 (c^2 q (p - 2 r) - b^2 r (q + r))) (-a^8 q r^2 + (b^2 - c^2) p (c^2 q + b^2 r) (c^4 (-p + q) + b^4 r - b^2 c^2 (p + q + r)) + a^6 r (-b^2 (p - 3 q) r + c^2 q (q + 2 r)) + a^2 (b^2 c^4 (p - q) r^2 + b^6 (-3 p + q) r^2 + b^4 c^2 r (2 p^2 + q^2 + 2 p r) - c^6 q (2 p^2 + q r)) + a^4 (3 b^4 (p - q) r^2 + c^4 q (p^2 + p q - r^2) - b^2 c^2 r (p^2 + 2 q (q + r)))) (-a^8 q^2 r + (b^2 - c^2) p (c^2 q + b^2 r) (-c^4 q + b^4 (p - r) + b^2 c^2 (p + q + r)) + a^6 q (-c^2 q (p - 3 r) + b^2 r (2 q + r)) + a^2 (b^4 c^2 q^2 (p - r) + c^6 q^2 (-3 p + r) - b^6 r (2 p^2 + q r) + b^2 c^4 q (2 p^2 + 2 p q + r^2)) + a^4 (3 c^4 q^2 (p - r) + b^4 r (p^2 - q^2 + p r) - b^2 c^2 q (p^2 + 2 r (q + r))))