Reflections of cevians in cevians

Lert ABC be a triangle.

A* := (Reflection of AH in BI) /\ (Reflection of AH in CI)

B* := (Reflection of BH in CI) /\ (Reflection of BH in AI)

C* := (Reflection of CH in AI) /\ (Reflection of CH in BI)

The triangles ABC, A*B*C* are perspective.

Perspector?

Generalization:

P, Q instead of H,I
Locus of P such that ABC, A*B*C* are perspective?

APH, 1 December 2011

For H, I, the perspector is X84.

In the general case, the equaition of the locus for P=(x,y,z)and Q=(u,v,w) is long (see below).

Francisco Javier García Capitán
2 December 2011




-2 a^8 c^4 u^5 v^3 w x^4 y^2 + 8 a^6 b^2 c^4 u^5 v^3 w x^4 y^2 -
 12 a^4 b^4 c^4 u^5 v^3 w x^4 y^2 + 8 a^2 b^6 c^4 u^5 v^3 w x^4 y^2 -
 2 b^8 c^4 u^5 v^3 w x^4 y^2 + 8 a^6 c^6 u^5 v^3 w x^4 y^2 -
 20 a^4 b^2 c^6 u^5 v^3 w x^4 y^2 +
 16 a^2 b^4 c^6 u^5 v^3 w x^4 y^2 - 4 b^6 c^6 u^5 v^3 w x^4 y^2 -
 12 a^4 c^8 u^5 v^3 w x^4 y^2 + 16 a^2 b^2 c^8 u^5 v^3 w x^4 y^2 -
 4 b^4 c^8 u^5 v^3 w x^4 y^2 + 8 a^2 c^10 u^5 v^3 w x^4 y^2 -
 4 b^2 c^10 u^5 v^3 w x^4 y^2 - 2 c^12 u^5 v^3 w x^4 y^2 -
 6 a^8 c^4 u^4 v^4 w x^4 y^2 + 24 a^6 b^2 c^4 u^4 v^4 w x^4 y^2 -
 36 a^4 b^4 c^4 u^4 v^4 w x^4 y^2 +
 24 a^2 b^6 c^4 u^4 v^4 w x^4 y^2 - 6 b^8 c^4 u^4 v^4 w x^4 y^2 +
 14 a^6 c^6 u^4 v^4 w x^4 y^2 - 30 a^4 b^2 c^6 u^4 v^4 w x^4 y^2 +
 18 a^2 b^4 c^6 u^4 v^4 w x^4 y^2 - 2 b^6 c^6 u^4 v^4 w x^4 y^2 -
 6 a^4 c^8 u^4 v^4 w x^4 y^2 + 4 a^2 b^2 c^8 u^4 v^4 w x^4 y^2 +
 2 b^4 c^8 u^4 v^4 w x^4 y^2 - 6 a^2 c^10 u^4 v^4 w x^4 y^2 +
 2 b^2 c^10 u^4 v^4 w x^4 y^2 + 4 c^12 u^4 v^4 w x^4 y^2 -
 6 a^8 c^4 u^3 v^5 w x^4 y^2 + 24 a^6 b^2 c^4 u^3 v^5 w x^4 y^2 -
 36 a^4 b^4 c^4 u^3 v^5 w x^4 y^2 +
 24 a^2 b^6 c^4 u^3 v^5 w x^4 y^2 - 6 b^8 c^4 u^3 v^5 w x^4 y^2 +
 4 a^6 c^6 u^3 v^5 w x^4 y^2 - 12 a^2 b^4 c^6 u^3 v^5 w x^4 y^2 +
 8 b^6 c^6 u^3 v^5 w x^4 y^2 + 8 a^4 c^8 u^3 v^5 w x^4 y^2 -
 8 a^2 b^2 c^8 u^3 v^5 w x^4 y^2 - 4 a^2 c^10 u^3 v^5 w x^4 y^2 -
 2 c^12 u^3 v^5 w x^4 y^2 - 2 a^8 c^4 u^2 v^6 w x^4 y^2 +
 8 a^6 b^2 c^4 u^2 v^6 w x^4 y^2 - 12 a^4 b^4 c^4 u^2 v^6 w x^4 y^2 +
 8 a^2 b^6 c^4 u^2 v^6 w x^4 y^2 - 2 b^8 c^4 u^2 v^6 w x^4 y^2 -
 2 a^6 c^6 u^2 v^6 w x^4 y^2 + 10 a^4 b^2 c^6 u^2 v^6 w x^4 y^2 -
 14 a^2 b^4 c^6 u^2 v^6 w x^4 y^2 + 6 b^6 c^6 u^2 v^6 w x^4 y^2 +
 2 a^4 c^8 u^2 v^6 w x^4 y^2 + 4 a^2 b^2 c^8 u^2 v^6 w x^4 y^2 -
 6 b^4 c^8 u^2 v^6 w x^4 y^2 + 2 a^2 c^10 u^2 v^6 w x^4 y^2 +
 2 b^2 c^10 u^2 v^6 w x^4 y^2 + 4 a^6 b^2 c^4 u^5 v^2 w^2 x^4 y^2 -
 12 a^4 b^4 c^4 u^5 v^2 w^2 x^4 y^2 +
 12 a^2 b^6 c^4 u^5 v^2 w^2 x^4 y^2 - 4 b^8 c^4 u^5 v^2 w^2 x^4 y^2 -
 12 a^4 b^2 c^6 u^5 v^2 w^2 x^4 y^2 +
 32 a^2 b^4 c^6 u^5 v^2 w^2 x^4 y^2 -
 20 b^6 c^6 u^5 v^2 w^2 x^4 y^2 +
 12 a^2 b^2 c^8 u^5 v^2 w^2 x^4 y^2 -
 20 b^4 c^8 u^5 v^2 w^2 x^4 y^2 - 4 b^2 c^10 u^5 v^2 w^2 x^4 y^2 +
 a^8 c^4 u^4 v^3 w^2 x^4 y^2 + 2 a^6 b^2 c^4 u^4 v^3 w^2 x^4 y^2 -
 12 a^4 b^4 c^4 u^4 v^3 w^2 x^4 y^2 +
 14 a^2 b^6 c^4 u^4 v^3 w^2 x^4 y^2 - 5 b^8 c^4 u^4 v^3 w^2 x^4 y^2 -
 4 a^6 c^6 u^4 v^3 w^2 x^4 y^2 + 14 a^4 b^2 c^6 u^4 v^3 w^2 x^4 y^2 +
 16 a^2 b^4 c^6 u^4 v^3 w^2 x^4 y^2 -
 26 b^6 c^6 u^4 v^3 w^2 x^4 y^2 + 6 a^4 c^8 u^4 v^3 w^2 x^4 y^2 -
 34 a^2 b^2 c^8 u^4 v^3 w^2 x^4 y^2 +
 12 b^4 c^8 u^4 v^3 w^2 x^4 y^2 - 4 a^2 c^10 u^4 v^3 w^2 x^4 y^2 +
 18 b^2 c^10 u^4 v^3 w^2 x^4 y^2 + c^12 u^4 v^3 w^2 x^4 y^2 -
 4 a^8 c^4 u^3 v^4 w^2 x^4 y^2 + 10 a^6 b^2 c^4 u^3 v^4 w^2 x^4 y^2 -
 6 a^4 b^4 c^4 u^3 v^4 w^2 x^4 y^2 -
 2 a^2 b^6 c^4 u^3 v^4 w^2 x^4 y^2 + 2 b^8 c^4 u^3 v^4 w^2 x^4 y^2 +
 10 a^6 c^6 u^3 v^4 w^2 x^4 y^2 +
 16 a^4 b^2 c^6 u^3 v^4 w^2 x^4 y^2 -
 14 a^2 b^4 c^6 u^3 v^4 w^2 x^4 y^2 -
 12 b^6 c^6 u^3 v^4 w^2 x^4 y^2 - 6 a^4 c^8 u^3 v^4 w^2 x^4 y^2 -
 14 a^2 b^2 c^8 u^3 v^4 w^2 x^4 y^2 +
 20 b^4 c^8 u^3 v^4 w^2 x^4 y^2 - 2 a^2 c^10 u^3 v^4 w^2 x^4 y^2 -
 12 b^2 c^10 u^3 v^4 w^2 x^4 y^2 + 2 c^12 u^3 v^4 w^2 x^4 y^2 -
 11 a^8 c^4 u^2 v^5 w^2 x^4 y^2 +
 30 a^6 b^2 c^4 u^2 v^5 w^2 x^4 y^2 -
 24 a^4 b^4 c^4 u^2 v^5 w^2 x^4 y^2 +
 2 a^2 b^6 c^4 u^2 v^5 w^2 x^4 y^2 + 3 b^8 c^4 u^2 v^5 w^2 x^4 y^2 +
 12 a^6 c^6 u^2 v^5 w^2 x^4 y^2 + 2 a^4 b^2 c^6 u^2 v^5 w^2 x^4 y^2 -
 8 a^2 b^4 c^6 u^2 v^5 w^2 x^4 y^2 - 6 b^6 c^6 u^2 v^5 w^2 x^4 y^2 +
 6 a^4 c^8 u^2 v^5 w^2 x^4 y^2 + 10 a^2 b^2 c^8 u^2 v^5 w^2 x^4 y^2 -
 4 a^2 c^10 u^2 v^5 w^2 x^4 y^2 + 6 b^2 c^10 u^2 v^5 w^2 x^4 y^2 -
 3 c^12 u^2 v^5 w^2 x^4 y^2 - 6 a^8 c^4 u v^6 w^2 x^4 y^2 +
 18 a^6 b^2 c^4 u v^6 w^2 x^4 y^2 -
 18 a^4 b^4 c^4 u v^6 w^2 x^4 y^2 + 6 a^2 b^6 c^4 u v^6 w^2 x^4 y^2 -
 2 a^6 c^6 u v^6 w^2 x^4 y^2 + 12 a^4 b^2 c^6 u v^6 w^2 x^4 y^2 -
 10 a^2 b^4 c^6 u v^6 w^2 x^4 y^2 + 6 a^4 c^8 u v^6 w^2 x^4 y^2 +
 2 a^2 b^2 c^8 u v^6 w^2 x^4 y^2 + 2 a^2 c^10 u v^6 w^2 x^4 y^2 +
 a^8 b^2 c^2 u^5 v w^3 x^4 y^2 - 4 a^6 b^4 c^2 u^5 v w^3 x^4 y^2 +
 6 a^4 b^6 c^2 u^5 v w^3 x^4 y^2 - 4 a^2 b^8 c^2 u^5 v w^3 x^4 y^2 +
 b^10 c^2 u^5 v w^3 x^4 y^2 - 4 a^6 b^2 c^4 u^5 v w^3 x^4 y^2 -
 4 a^4 b^4 c^4 u^5 v w^3 x^4 y^2 + 20 a^2 b^6 c^4 u^5 v w^3 x^4 y^2 -
 12 b^8 c^4 u^5 v w^3 x^4 y^2 + 6 a^4 b^2 c^6 u^5 v w^3 x^4 y^2 +
 20 a^2 b^4 c^6 u^5 v w^3 x^4 y^2 - 26 b^6 c^6 u^5 v w^3 x^4 y^2 -
 4 a^2 b^2 c^8 u^5 v w^3 x^4 y^2 - 12 b^4 c^8 u^5 v w^3 x^4 y^2 +
 b^2 c^10 u^5 v w^3 x^4 y^2 - 2 a^10 c^2 u^4 v^2 w^3 x^4 y^2 +
 14 a^8 b^2 c^2 u^4 v^2 w^3 x^4 y^2 -
 36 a^6 b^4 c^2 u^4 v^2 w^3 x^4 y^2 +
 44 a^4 b^6 c^2 u^4 v^2 w^3 x^4 y^2 -
 26 a^2 b^8 c^2 u^4 v^2 w^3 x^4 y^2 +
 6 b^10 c^2 u^4 v^2 w^3 x^4 y^2 + 10 a^8 c^4 u^4 v^2 w^3 x^4 y^2 -
 52 a^6 b^2 c^4 u^4 v^2 w^3 x^4 y^2 +
 68 a^4 b^4 c^4 u^4 v^2 w^3 x^4 y^2 -
 20 a^2 b^6 c^4 u^4 v^2 w^3 x^4 y^2 - 6 b^8 c^4 u^4 v^2 w^3 x^4 y^2 -
 20 a^6 c^6 u^4 v^2 w^3 x^4 y^2 +
 72 a^4 b^2 c^6 u^4 v^2 w^3 x^4 y^2 -
 36 a^2 b^4 c^6 u^4 v^2 w^3 x^4 y^2 -
 16 b^6 c^6 u^4 v^2 w^3 x^4 y^2 + 20 a^4 c^8 u^4 v^2 w^3 x^4 y^2 -
 44 a^2 b^2 c^8 u^4 v^2 w^3 x^4 y^2 + 4 b^4 c^8 u^4 v^2 w^3 x^4 y^2 -
 10 a^2 c^10 u^4 v^2 w^3 x^4 y^2 + 10 b^2 c^10 u^4 v^2 w^3 x^4 y^2 +
 2 c^12 u^4 v^2 w^3 x^4 y^2 + 6 a^8 b^2 c^2 u^3 v^3 w^3 x^4 y^2 -
 24 a^6 b^4 c^2 u^3 v^3 w^3 x^4 y^2 +
 36 a^4 b^6 c^2 u^3 v^3 w^3 x^4 y^2 -
 24 a^2 b^8 c^2 u^3 v^3 w^3 x^4 y^2 +
 6 b^10 c^2 u^3 v^3 w^3 x^4 y^2 + 3 a^8 c^4 u^3 v^3 w^3 x^4 y^2 -
 20 a^6 b^2 c^4 u^3 v^3 w^3 x^4 y^2 +
 50 a^4 b^4 c^4 u^3 v^3 w^3 x^4 y^2 -
 52 a^2 b^6 c^4 u^3 v^3 w^3 x^4 y^2 +
 19 b^8 c^4 u^3 v^3 w^3 x^4 y^2 - 12 a^6 c^6 u^3 v^3 w^3 x^4 y^2 +
 32 a^4 b^2 c^6 u^3 v^3 w^3 x^4 y^2 +
 20 a^2 b^4 c^6 u^3 v^3 w^3 x^4 y^2 -
 40 b^6 c^6 u^3 v^3 w^3 x^4 y^2 + 18 a^4 c^8 u^3 v^3 w^3 x^4 y^2 -
 28 a^2 b^2 c^8 u^3 v^3 w^3 x^4 y^2 + 2 b^4 c^8 u^3 v^3 w^3 x^4 y^2 -
 12 a^2 c^10 u^3 v^3 w^3 x^4 y^2 + 10 b^2 c^10 u^3 v^3 w^3 x^4 y^2 +
 3 c^12 u^3 v^3 w^3 x^4 y^2 + 6 a^10 c^2 u^2 v^4 w^3 x^4 y^2 -
 26 a^8 b^2 c^2 u^2 v^4 w^3 x^4 y^2 +
 44 a^6 b^4 c^2 u^2 v^4 w^3 x^4 y^2 -
 36 a^4 b^6 c^2 u^2 v^4 w^3 x^4 y^2 +
 14 a^2 b^8 c^2 u^2 v^4 w^3 x^4 y^2 -
 2 b^10 c^2 u^2 v^4 w^3 x^4 y^2 - 12 a^8 c^4 u^2 v^4 w^3 x^4 y^2 +
 44 a^6 b^2 c^4 u^2 v^4 w^3 x^4 y^2 -
 28 a^4 b^4 c^4 u^2 v^4 w^3 x^4 y^2 -
 28 a^2 b^6 c^4 u^2 v^4 w^3 x^4 y^2 +
 24 b^8 c^4 u^2 v^4 w^3 x^4 y^2 + 4 a^6 c^6 u^2 v^4 w^3 x^4 y^2 +
 16 a^4 b^2 c^6 u^2 v^4 w^3 x^4 y^2 +
 36 a^2 b^4 c^6 u^2 v^4 w^3 x^4 y^2 -
 56 b^6 c^6 u^2 v^4 w^3 x^4 y^2 -
 28 a^2 b^2 c^8 u^2 v^4 w^3 x^4 y^2 +
 44 b^4 c^8 u^2 v^4 w^3 x^4 y^2 + 6 a^2 c^10 u^2 v^4 w^3 x^4 y^2 -
 6 b^2 c^10 u^2 v^4 w^3 x^4 y^2 - 4 c^12 u^2 v^4 w^3 x^4 y^2 +
 4 a^10 c^2 u v^5 w^3 x^4 y^2 - 19 a^8 b^2 c^2 u v^5 w^3 x^4 y^2 +
 36 a^6 b^4 c^2 u v^5 w^3 x^4 y^2 -
 34 a^4 b^6 c^2 u v^5 w^3 x^4 y^2 +
 16 a^2 b^8 c^2 u v^5 w^3 x^4 y^2 - 3 b^10 c^2 u v^5 w^3 x^4 y^2 -
 9 a^8 c^4 u v^5 w^3 x^4 y^2 + 24 a^6 b^2 c^4 u v^5 w^3 x^4 y^2 -
 10 a^4 b^4 c^4 u v^5 w^3 x^4 y^2 -
 16 a^2 b^6 c^4 u v^5 w^3 x^4 y^2 + 11 b^8 c^4 u v^5 w^3 x^4 y^2 +
 4 a^6 c^6 u v^5 w^3 x^4 y^2 + 26 a^4 b^2 c^6 u v^5 w^3 x^4 y^2 -
 16 a^2 b^4 c^6 u v^5 w^3 x^4 y^2 - 14 b^6 c^6 u v^5 w^3 x^4 y^2 +
 2 a^4 c^8 u v^5 w^3 x^4 y^2 + 16 a^2 b^2 c^8 u v^5 w^3 x^4 y^2 +
 6 b^4 c^8 u v^5 w^3 x^4 y^2 + b^2 c^10 u v^5 w^3 x^4 y^2 -
 c^12 u v^5 w^3 x^4 y^2 - 4 a^8 c^4 v^6 w^3 x^4 y^2 +
 8 a^6 b^2 c^4 v^6 w^3 x^4 y^2 - 4 a^4 b^4 c^4 v^6 w^3 x^4 y^2 +
 4 a^4 c^8 v^6 w^3 x^4 y^2 + 2 a^6 b^4 c^2 u^5 w^4 x^4 y^2 -
 6 a^4 b^6 c^2 u^5 w^4 x^4 y^2 + 6 a^2 b^8 c^2 u^5 w^4 x^4 y^2 -
 2 b^10 c^2 u^5 w^4 x^4 y^2 - 6 a^4 b^4 c^4 u^5 w^4 x^4 y^2 +
 12 a^2 b^6 c^4 u^5 w^4 x^4 y^2 - 6 b^8 c^4 u^5 w^4 x^4 y^2 +
 6 a^2 b^4 c^6 u^5 w^4 x^4 y^2 - 6 b^6 c^6 u^5 w^4 x^4 y^2 -
 2 b^4 c^8 u^5 w^4 x^4 y^2 + 7 a^8 b^2 c^2 u^4 v w^4 x^4 y^2 -
 28 a^6 b^4 c^2 u^4 v w^4 x^4 y^2 +
 42 a^4 b^6 c^2 u^4 v w^4 x^4 y^2 -
 28 a^2 b^8 c^2 u^4 v w^4 x^4 y^2 + 7 b^10 c^2 u^4 v w^4 x^4 y^2 -
 28 a^6 b^2 c^4 u^4 v w^4 x^4 y^2 +
 44 a^4 b^4 c^4 u^4 v w^4 x^4 y^2 -
 28 a^2 b^6 c^4 u^4 v w^4 x^4 y^2 + 12 b^8 c^4 u^4 v w^4 x^4 y^2 +
 42 a^4 b^2 c^6 u^4 v w^4 x^4 y^2 - 4 a^2 b^4 c^6 u^4 v w^4 x^4 y^2 -
 14 b^6 c^6 u^4 v w^4 x^4 y^2 - 28 a^2 b^2 c^8 u^4 v w^4 x^4 y^2 -
 12 b^4 c^8 u^4 v w^4 x^4 y^2 + 7 b^2 c^10 u^4 v w^4 x^4 y^2 -
 a^12 u^3 v^2 w^4 x^4 y^2 + 6 a^10 b^2 u^3 v^2 w^4 x^4 y^2 -
 15 a^8 b^4 u^3 v^2 w^4 x^4 y^2 + 20 a^6 b^6 u^3 v^2 w^4 x^4 y^2 -
 15 a^4 b^8 u^3 v^2 w^4 x^4 y^2 + 6 a^2 b^10 u^3 v^2 w^4 x^4 y^2 -
 b^12 u^3 v^2 w^4 x^4 y^2 + 2 a^10 c^2 u^3 v^2 w^4 x^4 y^2 -
 3 a^8 b^2 c^2 u^3 v^2 w^4 x^4 y^2 -
 16 a^6 b^4 c^2 u^3 v^2 w^4 x^4 y^2 +
 46 a^4 b^6 c^2 u^3 v^2 w^4 x^4 y^2 -
 42 a^2 b^8 c^2 u^3 v^2 w^4 x^4 y^2 +
 13 b^10 c^2 u^3 v^2 w^4 x^4 y^2 + 5 a^8 c^4 u^3 v^2 w^4 x^4 y^2 -
 40 a^6 b^2 c^4 u^3 v^2 w^4 x^4 y^2 +
 18 a^4 b^4 c^4 u^3 v^2 w^4 x^4 y^2 +
 17 b^8 c^4 u^3 v^2 w^4 x^4 y^2 - 20 a^6 c^6 u^3 v^2 w^4 x^4 y^2 +
 78 a^4 b^2 c^6 u^3 v^2 w^4 x^4 y^2 +
 8 a^2 b^4 c^6 u^3 v^2 w^4 x^4 y^2 - 50 b^6 c^6 u^3 v^2 w^4 x^4 y^2 +
 25 a^4 c^8 u^3 v^2 w^4 x^4 y^2 -
 54 a^2 b^2 c^8 u^3 v^2 w^4 x^4 y^2 + 5 b^4 c^8 u^3 v^2 w^4 x^4 y^2 -
 14 a^2 c^10 u^3 v^2 w^4 x^4 y^2 + 13 b^2 c^10 u^3 v^2 w^4 x^4 y^2 +
 3 c^12 u^3 v^2 w^4 x^4 y^2 - 2 a^12 u^2 v^3 w^4 x^4 y^2 +
 12 a^10 b^2 u^2 v^3 w^4 x^4 y^2 - 30 a^8 b^4 u^2 v^3 w^4 x^4 y^2 +
 40 a^6 b^6 u^2 v^3 w^4 x^4 y^2 - 30 a^4 b^8 u^2 v^3 w^4 x^4 y^2 +
 12 a^2 b^10 u^2 v^3 w^4 x^4 y^2 - 2 b^12 u^2 v^3 w^4 x^4 y^2 +
 6 a^10 c^2 u^2 v^3 w^4 x^4 y^2 -
 29 a^8 b^2 c^2 u^2 v^3 w^4 x^4 y^2 +
 52 a^6 b^4 c^2 u^2 v^3 w^4 x^4 y^2 -
 42 a^4 b^6 c^2 u^2 v^3 w^4 x^4 y^2 +
 14 a^2 b^8 c^2 u^2 v^3 w^4 x^4 y^2 - b^10 c^2 u^2 v^3 w^4 x^4 y^2 -
 5 a^8 c^4 u^2 v^3 w^4 x^4 y^2 - 6 a^4 b^4 c^4 u^2 v^3 w^4 x^4 y^2 -
 16 a^2 b^6 c^4 u^2 v^3 w^4 x^4 y^2 +
 27 b^8 c^4 u^2 v^3 w^4 x^4 y^2 +
 30 a^4 b^2 c^6 u^2 v^3 w^4 x^4 y^2 -
 8 a^2 b^4 c^6 u^2 v^3 w^4 x^4 y^2 - 54 b^6 c^6 u^2 v^3 w^4 x^4 y^2 -
 4 a^2 b^2 c^8 u^2 v^3 w^4 x^4 y^2 + 40 b^4 c^8 u^2 v^3 w^4 x^4 y^2 +
 2 a^2 c^10 u^2 v^3 w^4 x^4 y^2 - 9 b^2 c^10 u^2 v^3 w^4 x^4 y^2 -
 c^12 u^2 v^3 w^4 x^4 y^2 - a^12 u v^4 w^4 x^4 y^2 +
 6 a^10 b^2 u v^4 w^4 x^4 y^2 - 15 a^8 b^4 u v^4 w^4 x^4 y^2 +
 20 a^6 b^6 u v^4 w^4 x^4 y^2 - 15 a^4 b^8 u v^4 w^4 x^4 y^2 +
 6 a^2 b^10 u v^4 w^4 x^4 y^2 - b^12 u v^4 w^4 x^4 y^2 +
 8 a^10 c^2 u v^4 w^4 x^4 y^2 - 31 a^8 b^2 c^2 u v^4 w^4 x^4 y^2 +
 50 a^6 b^4 c^2 u v^4 w^4 x^4 y^2 -
 44 a^4 b^6 c^2 u v^4 w^4 x^4 y^2 +
 22 a^2 b^8 c^2 u v^4 w^4 x^4 y^2 - 5 b^10 c^2 u v^4 w^4 x^4 y^2 -
 14 a^8 c^4 u v^4 w^4 x^4 y^2 + 28 a^6 b^2 c^4 u v^4 w^4 x^4 y^2 +
 14 a^4 b^4 c^4 u v^4 w^4 x^4 y^2 -
 56 a^2 b^6 c^4 u v^4 w^4 x^4 y^2 + 28 b^8 c^4 u v^4 w^4 x^4 y^2 +
 6 a^6 c^6 u v^4 w^4 x^4 y^2 - 4 a^4 b^2 c^6 u v^4 w^4 x^4 y^2 +
 24 a^2 b^4 c^6 u v^4 w^4 x^4 y^2 - 42 b^6 c^6 u v^4 w^4 x^4 y^2 +
 a^4 c^8 u v^4 w^4 x^4 y^2 + 2 a^2 b^2 c^8 u v^4 w^4 x^4 y^2 +
 23 b^4 c^8 u v^4 w^4 x^4 y^2 + 2 a^2 c^10 u v^4 w^4 x^4 y^2 -
 b^2 c^10 u v^4 w^4 x^4 y^2 - 2 c^12 u v^4 w^4 x^4 y^2 +
 4 a^10 c^2 v^5 w^4 x^4 y^2 - 12 a^8 b^2 c^2 v^5 w^4 x^4 y^2 +
 12 a^6 b^4 c^2 v^5 w^4 x^4 y^2 - 4 a^4 b^6 c^2 v^5 w^4 x^4 y^2 -
 4 a^8 c^4 v^5 w^4 x^4 y^2 + 16 a^6 b^2 c^4 v^5 w^4 x^4 y^2 -
 12 a^4 b^4 c^4 v^5 w^4 x^4 y^2 - 4 a^6 c^6 v^5 w^4 x^4 y^2 +
 12 a^4 b^2 c^6 v^5 w^4 x^4 y^2 + 4 a^4 c^8 v^5 w^4 x^4 y^2 +
 a^8 b^4 u^4 w^5 x^4 y^2 - 4 a^6 b^6 u^4 w^5 x^4 y^2 +
 6 a^4 b^8 u^4 w^5 x^4 y^2 - 4 a^2 b^10 u^4 w^5 x^4 y^2 +
 b^12 u^4 w^5 x^4 y^2 + 4 a^4 b^6 c^2 u^4 w^5 x^4 y^2 -
 8 a^2 b^8 c^2 u^4 w^5 x^4 y^2 + 4 b^10 c^2 u^4 w^5 x^4 y^2 -
 6 a^4 b^4 c^4 u^4 w^5 x^4 y^2 + 4 a^2 b^6 c^4 u^4 w^5 x^4 y^2 +
 2 b^8 c^4 u^4 w^5 x^4 y^2 + 8 a^2 b^4 c^6 u^4 w^5 x^4 y^2 -
 4 b^6 c^6 u^4 w^5 x^4 y^2 - 3 b^4 c^8 u^4 w^5 x^4 y^2 +
 2 a^10 b^2 u^3 v w^5 x^4 y^2 - 8 a^8 b^4 u^3 v w^5 x^4 y^2 +
 12 a^6 b^6 u^3 v w^5 x^4 y^2 - 8 a^4 b^8 u^3 v w^5 x^4 y^2 +
 2 a^2 b^10 u^3 v w^5 x^4 y^2 + a^8 b^2 c^2 u^3 v w^5 x^4 y^2 -
 2 a^4 b^6 c^2 u^3 v w^5 x^4 y^2 + b^10 c^2 u^3 v w^5 x^4 y^2 -
 24 a^6 b^2 c^4 u^3 v w^5 x^4 y^2 +
 16 a^4 b^4 c^4 u^3 v w^5 x^4 y^2 + 8 b^8 c^4 u^3 v w^5 x^4 y^2 +
 46 a^4 b^2 c^6 u^3 v w^5 x^4 y^2 - 10 b^6 c^6 u^3 v w^5 x^4 y^2 -
 34 a^2 b^2 c^8 u^3 v w^5 x^4 y^2 - 8 b^4 c^8 u^3 v w^5 x^4 y^2 +
 9 b^2 c^10 u^3 v w^5 x^4 y^2 - a^12 u^2 v^2 w^5 x^4 y^2 +
 8 a^10 b^2 u^2 v^2 w^5 x^4 y^2 - 25 a^8 b^4 u^2 v^2 w^5 x^4 y^2 +
 40 a^6 b^6 u^2 v^2 w^5 x^4 y^2 - 35 a^4 b^8 u^2 v^2 w^5 x^4 y^2 +
 16 a^2 b^10 u^2 v^2 w^5 x^4 y^2 - 3 b^12 u^2 v^2 w^5 x^4 y^2 +
 4 a^10 c^2 u^2 v^2 w^5 x^4 y^2 -
 14 a^8 b^2 c^2 u^2 v^2 w^5 x^4 y^2 +
 10 a^6 b^4 c^2 u^2 v^2 w^5 x^4 y^2 +
 2 a^4 b^6 c^2 u^2 v^2 w^5 x^4 y^2 +
 2 a^2 b^8 c^2 u^2 v^2 w^5 x^4 y^2 - 4 b^10 c^2 u^2 v^2 w^5 x^4 y^2 -
 5 a^8 c^4 u^2 v^2 w^5 x^4 y^2 - 4 a^6 b^2 c^4 u^2 v^2 w^5 x^4 y^2 -
 4 a^4 b^4 c^4 u^2 v^2 w^5 x^4 y^2 -
 16 a^2 b^6 c^4 u^2 v^2 w^5 x^4 y^2 +
 29 b^8 c^4 u^2 v^2 w^5 x^4 y^2 +
 16 a^4 b^2 c^6 u^2 v^2 w^5 x^4 y^2 +
 6 a^2 b^4 c^6 u^2 v^2 w^5 x^4 y^2 - 34 b^6 c^6 u^2 v^2 w^5 x^4 y^2 +
 5 a^4 c^8 u^2 v^2 w^5 x^4 y^2 - 4 a^2 b^2 c^8 u^2 v^2 w^5 x^4 y^2 +
 13 b^4 c^8 u^2 v^2 w^5 x^4 y^2 - 4 a^2 c^10 u^2 v^2 w^5 x^4 y^2 -
 2 b^2 c^10 u^2 v^2 w^5 x^4 y^2 + c^12 u^2 v^2 w^5 x^4 y^2 -
 2 a^12 u v^3 w^5 x^4 y^2 + 10 a^10 b^2 u v^3 w^5 x^4 y^2 -
 22 a^8 b^4 u v^3 w^5 x^4 y^2 + 28 a^6 b^6 u v^3 w^5 x^4 y^2 -
 22 a^4 b^8 u v^3 w^5 x^4 y^2 + 10 a^2 b^10 u v^3 w^5 x^4 y^2 -
 2 b^12 u v^3 w^5 x^4 y^2 + 6 a^10 c^2 u v^3 w^5 x^4 y^2 -
 29 a^8 b^2 c^2 u v^3 w^5 x^4 y^2 +
 32 a^6 b^4 c^2 u v^3 w^5 x^4 y^2 - 2 a^4 b^6 c^2 u v^3 w^5 x^4 y^2 -
 6 a^2 b^8 c^2 u v^3 w^5 x^4 y^2 - b^10 c^2 u v^3 w^5 x^4 y^2 -
 5 a^8 c^4 u v^3 w^5 x^4 y^2 + 20 a^6 b^2 c^4 u v^3 w^5 x^4 y^2 -
 26 a^4 b^4 c^4 u v^3 w^5 x^4 y^2 -
 12 a^2 b^6 c^4 u v^3 w^5 x^4 y^2 + 23 b^8 c^4 u v^3 w^5 x^4 y^2 +
 2 a^4 b^2 c^6 u v^3 w^5 x^4 y^2 + 4 a^2 b^4 c^6 u v^3 w^5 x^4 y^2 -
 42 b^6 c^6 u v^3 w^5 x^4 y^2 + 2 a^2 b^2 c^8 u v^3 w^5 x^4 y^2 +
 28 b^4 c^8 u v^3 w^5 x^4 y^2 + 2 a^2 c^10 u v^3 w^5 x^4 y^2 -
 5 b^2 c^10 u v^3 w^5 x^4 y^2 - c^12 u v^3 w^5 x^4 y^2 -
 a^12 v^4 w^5 x^4 y^2 + 4 a^10 b^2 v^4 w^5 x^4 y^2 -
 6 a^8 b^4 v^4 w^5 x^4 y^2 + 4 a^6 b^6 v^4 w^5 x^4 y^2 -
 a^4 b^8 v^4 w^5 x^4 y^2 + 2 a^10 c^2 v^4 w^5 x^4 y^2 -
 14 a^8 b^2 c^2 v^4 w^5 x^4 y^2 + 22 a^6 b^4 c^2 v^4 w^5 x^4 y^2 -
 10 a^4 b^6 c^2 v^4 w^5 x^4 y^2 - 2 a^6 c^6 v^4 w^5 x^4 y^2 +
 10 a^4 b^2 c^6 v^4 w^5 x^4 y^2 + a^4 c^8 v^4 w^5 x^4 y^2 +
 a^8 b^4 u^3 w^6 x^4 y^2 - 2 a^6 b^6 u^3 w^6 x^4 y^2 +
 2 a^2 b^10 u^3 w^6 x^4 y^2 - b^12 u^3 w^6 x^4 y^2 -
 2 a^6 b^4 c^2 u^3 w^6 x^4 y^2 + 4 a^4 b^6 c^2 u^3 w^6 x^4 y^2 -
 2 a^2 b^8 c^2 u^3 w^6 x^4 y^2 - 2 a^2 b^6 c^4 u^3 w^6 x^4 y^2 +
 2 b^8 c^4 u^3 w^6 x^4 y^2 + 2 a^2 b^4 c^6 u^3 w^6 x^4 y^2 -
 b^4 c^8 u^3 w^6 x^4 y^2 + 2 a^10 b^2 u^2 v w^6 x^4 y^2 -
 4 a^8 b^4 u^2 v w^6 x^4 y^2 + 2 a^6 b^6 u^2 v w^6 x^4 y^2 -
 2 a^4 b^8 u^2 v w^6 x^4 y^2 + 4 a^2 b^10 u^2 v w^6 x^4 y^2 -
 2 b^12 u^2 v w^6 x^4 y^2 - 5 a^8 b^2 c^2 u^2 v w^6 x^4 y^2 +
 8 a^6 b^4 c^2 u^2 v w^6 x^4 y^2 - 4 a^2 b^8 c^2 u^2 v w^6 x^4 y^2 +
 b^10 c^2 u^2 v w^6 x^4 y^2 - 8 a^4 b^4 c^4 u^2 v w^6 x^4 y^2 +
 2 a^2 b^6 c^4 u^2 v w^6 x^4 y^2 + 6 b^8 c^4 u^2 v w^6 x^4 y^2 +
 10 a^4 b^2 c^6 u^2 v w^6 x^4 y^2 + 8 a^2 b^4 c^6 u^2 v w^6 x^4 y^2 -
 4 b^6 c^6 u^2 v w^6 x^4 y^2 - 10 a^2 b^2 c^8 u^2 v w^6 x^4 y^2 -
 4 b^4 c^8 u^2 v w^6 x^4 y^2 + 3 b^2 c^10 u^2 v w^6 x^4 y^2 +
 4 a^10 b^2 u v^2 w^6 x^4 y^2 - 11 a^8 b^4 u v^2 w^6 x^4 y^2 +
 10 a^6 b^6 u v^2 w^6 x^4 y^2 - 4 a^4 b^8 u v^2 w^6 x^4 y^2 +
 2 a^2 b^10 u v^2 w^6 x^4 y^2 - b^12 u v^2 w^6 x^4 y^2 -
 7 a^8 b^2 c^2 u v^2 w^6 x^4 y^2 + 14 a^6 b^4 c^2 u v^2 w^6 x^4 y^2 -
 6 a^4 b^6 c^2 u v^2 w^6 x^4 y^2 - 2 a^2 b^8 c^2 u v^2 w^6 x^4 y^2 +
 b^10 c^2 u v^2 w^6 x^4 y^2 - 8 a^4 b^4 c^4 u v^2 w^6 x^4 y^2 +
 2 a^2 b^6 c^4 u v^2 w^6 x^4 y^2 + 6 b^8 c^4 u v^2 w^6 x^4 y^2 +
 2 a^4 b^2 c^6 u v^2 w^6 x^4 y^2 - 6 a^2 b^4 c^6 u v^2 w^6 x^4 y^2 -
 14 b^6 c^6 u v^2 w^6 x^4 y^2 + 4 a^2 b^2 c^8 u v^2 w^6 x^4 y^2 +
 11 b^4 c^8 u v^2 w^6 x^4 y^2 - 3 b^2 c^10 u v^2 w^6 x^4 y^2 +
 2 a^10 b^2 v^3 w^6 x^4 y^2 - 6 a^8 b^4 v^3 w^6 x^4 y^2 +
 6 a^6 b^6 v^3 w^6 x^4 y^2 - 2 a^4 b^8 v^3 w^6 x^4 y^2 -
 2 a^8 b^2 c^2 v^3 w^6 x^4 y^2 + 4 a^6 b^4 c^2 v^3 w^6 x^4 y^2 -
 2 a^4 b^6 c^2 v^3 w^6 x^4 y^2 - 2 a^6 b^2 c^4 v^3 w^6 x^4 y^2 +
 2 a^4 b^4 c^4 v^3 w^6 x^4 y^2 + 2 a^4 b^2 c^6 v^3 w^6 x^4 y^2 +
 2 a^8 c^4 u^6 v^2 w x^3 y^3 - 8 a^6 b^2 c^4 u^6 v^2 w x^3 y^3 +
 12 a^4 b^4 c^4 u^6 v^2 w x^3 y^3 - 8 a^2 b^6 c^4 u^6 v^2 w x^3 y^3 +
 2 b^8 c^4 u^6 v^2 w x^3 y^3 - 8 a^6 c^6 u^6 v^2 w x^3 y^3 +
 20 a^4 b^2 c^6 u^6 v^2 w x^3 y^3 -
 16 a^2 b^4 c^6 u^6 v^2 w x^3 y^3 + 4 b^6 c^6 u^6 v^2 w x^3 y^3 +
 12 a^4 c^8 u^6 v^2 w x^3 y^3 - 16 a^2 b^2 c^8 u^6 v^2 w x^3 y^3 +
 4 b^4 c^8 u^6 v^2 w x^3 y^3 - 8 a^2 c^10 u^6 v^2 w x^3 y^3 +
 4 b^2 c^10 u^6 v^2 w x^3 y^3 + 2 c^12 u^6 v^2 w x^3 y^3 +
 4 a^8 c^4 u^5 v^3 w x^3 y^3 - 16 a^6 b^2 c^4 u^5 v^3 w x^3 y^3 +
 24 a^4 b^4 c^4 u^5 v^3 w x^3 y^3 -
 16 a^2 b^6 c^4 u^5 v^3 w x^3 y^3 + 4 b^8 c^4 u^5 v^3 w x^3 y^3 -
 8 a^6 c^6 u^5 v^3 w x^3 y^3 + 16 a^4 b^2 c^6 u^5 v^3 w x^3 y^3 -
 8 a^2 b^4 c^6 u^5 v^3 w x^3 y^3 + 8 a^2 c^10 u^5 v^3 w x^3 y^3 -
 4 c^12 u^5 v^3 w x^3 y^3 + 4 a^6 c^6 u^4 v^4 w x^3 y^3 -
 12 a^4 b^2 c^6 u^4 v^4 w x^3 y^3 +
 12 a^2 b^4 c^6 u^4 v^4 w x^3 y^3 - 4 b^6 c^6 u^4 v^4 w x^3 y^3 -
 8 a^4 c^8 u^4 v^4 w x^3 y^3 + 8 b^4 c^8 u^4 v^4 w x^3 y^3 +
 4 a^2 c^10 u^4 v^4 w x^3 y^3 - 4 b^2 c^10 u^4 v^4 w x^3 y^3 -
 4 a^8 c^4 u^3 v^5 w x^3 y^3 + 16 a^6 b^2 c^4 u^3 v^5 w x^3 y^3 -
 24 a^4 b^4 c^4 u^3 v^5 w x^3 y^3 +
 16 a^2 b^6 c^4 u^3 v^5 w x^3 y^3 - 4 b^8 c^4 u^3 v^5 w x^3 y^3 +
 8 a^4 b^2 c^6 u^3 v^5 w x^3 y^3 - 16 a^2 b^4 c^6 u^3 v^5 w x^3 y^3 +
 8 b^6 c^6 u^3 v^5 w x^3 y^3 - 8 b^2 c^10 u^3 v^5 w x^3 y^3 +
 4 c^12 u^3 v^5 w x^3 y^3 - 2 a^8 c^4 u^2 v^6 w x^3 y^3 +
 8 a^6 b^2 c^4 u^2 v^6 w x^3 y^3 - 12 a^4 b^4 c^4 u^2 v^6 w x^3 y^3 +
 8 a^2 b^6 c^4 u^2 v^6 w x^3 y^3 - 2 b^8 c^4 u^2 v^6 w x^3 y^3 -
 4 a^6 c^6 u^2 v^6 w x^3 y^3 + 16 a^4 b^2 c^6 u^2 v^6 w x^3 y^3 -
 20 a^2 b^4 c^6 u^2 v^6 w x^3 y^3 + 8 b^6 c^6 u^2 v^6 w x^3 y^3 -
 4 a^4 c^8 u^2 v^6 w x^3 y^3 + 16 a^2 b^2 c^8 u^2 v^6 w x^3 y^3 -
 12 b^4 c^8 u^2 v^6 w x^3 y^3 - 4 a^2 c^10 u^2 v^6 w x^3 y^3 +
 8 b^2 c^10 u^2 v^6 w x^3 y^3 - 2 c^12 u^2 v^6 w x^3 y^3 -
 6 a^6 b^2 c^4 u^6 v w^2 x^3 y^3 + 18 a^4 b^4 c^4 u^6 v w^2 x^3 y^3 -
 18 a^2 b^6 c^4 u^6 v w^2 x^3 y^3 + 6 b^8 c^4 u^6 v w^2 x^3 y^3 +
 18 a^4 b^2 c^6 u^6 v w^2 x^3 y^3 -
 28 a^2 b^4 c^6 u^6 v w^2 x^3 y^3 + 10 b^6 c^6 u^6 v w^2 x^3 y^3 -
 18 a^2 b^2 c^8 u^6 v w^2 x^3 y^3 + 10 b^4 c^8 u^6 v w^2 x^3 y^3 +
 6 b^2 c^10 u^6 v w^2 x^3 y^3 - 3 a^8 c^4 u^5 v^2 w^2 x^3 y^3 +
 2 a^6 b^2 c^4 u^5 v^2 w^2 x^3 y^3 +
 12 a^4 b^4 c^4 u^5 v^2 w^2 x^3 y^3 -
 18 a^2 b^6 c^4 u^5 v^2 w^2 x^3 y^3 + 7 b^8 c^4 u^5 v^2 w^2 x^3 y^3 +
 12 a^6 c^6 u^5 v^2 w^2 x^3 y^3 + 2 a^4 b^2 c^6 u^5 v^2 w^2 x^3 y^3 -
 14 b^6 c^6 u^5 v^2 w^2 x^3 y^3 - 18 a^4 c^8 u^5 v^2 w^2 x^3 y^3 -
 10 a^2 b^2 c^8 u^5 v^2 w^2 x^3 y^3 + 4 b^4 c^8 u^5 v^2 w^2 x^3 y^3 +
 12 a^2 c^10 u^5 v^2 w^2 x^3 y^3 + 6 b^2 c^10 u^5 v^2 w^2 x^3 y^3 -
 3 c^12 u^5 v^2 w^2 x^3 y^3 - a^8 c^4 u^4 v^3 w^2 x^3 y^3 +
 4 a^6 b^2 c^4 u^4 v^3 w^2 x^3 y^3 -
 6 a^4 b^4 c^4 u^4 v^3 w^2 x^3 y^3 +
 4 a^2 b^6 c^4 u^4 v^3 w^2 x^3 y^3 - b^8 c^4 u^4 v^3 w^2 x^3 y^3 +
 18 a^6 c^6 u^4 v^3 w^2 x^3 y^3 +
 14 a^4 b^2 c^6 u^4 v^3 w^2 x^3 y^3 -
 2 a^2 b^4 c^6 u^4 v^3 w^2 x^3 y^3 - 30 b^6 c^6 u^4 v^3 w^2 x^3 y^3 -
 48 a^4 c^8 u^4 v^3 w^2 x^3 y^3 -
 16 a^2 b^2 c^8 u^4 v^3 w^2 x^3 y^3 +
 48 b^4 c^8 u^4 v^3 w^2 x^3 y^3 + 46 a^2 c^10 u^4 v^3 w^2 x^3 y^3 -
 2 b^2 c^10 u^4 v^3 w^2 x^3 y^3 - 15 c^12 u^4 v^3 w^2 x^3 y^3 +
 a^8 c^4 u^3 v^4 w^2 x^3 y^3 - 4 a^6 b^2 c^4 u^3 v^4 w^2 x^3 y^3 +
 6 a^4 b^4 c^4 u^3 v^4 w^2 x^3 y^3 -
 4 a^2 b^6 c^4 u^3 v^4 w^2 x^3 y^3 + b^8 c^4 u^3 v^4 w^2 x^3 y^3 +
 30 a^6 c^6 u^3 v^4 w^2 x^3 y^3 + 2 a^4 b^2 c^6 u^3 v^4 w^2 x^3 y^3 -
 14 a^2 b^4 c^6 u^3 v^4 w^2 x^3 y^3 -
 18 b^6 c^6 u^3 v^4 w^2 x^3 y^3 - 48 a^4 c^8 u^3 v^4 w^2 x^3 y^3 +
 16 a^2 b^2 c^8 u^3 v^4 w^2 x^3 y^3 +
 48 b^4 c^8 u^3 v^4 w^2 x^3 y^3 + 2 a^2 c^10 u^3 v^4 w^2 x^3 y^3 -
 46 b^2 c^10 u^3 v^4 w^2 x^3 y^3 + 15 c^12 u^3 v^4 w^2 x^3 y^3 -
 7 a^8 c^4 u^2 v^5 w^2 x^3 y^3 + 18 a^6 b^2 c^4 u^2 v^5 w^2 x^3 y^3 -
 12 a^4 b^4 c^4 u^2 v^5 w^2 x^3 y^3 -
 2 a^2 b^6 c^4 u^2 v^5 w^2 x^3 y^3 + 3 b^8 c^4 u^2 v^5 w^2 x^3 y^3 +
 14 a^6 c^6 u^2 v^5 w^2 x^3 y^3 - 2 a^2 b^4 c^6 u^2 v^5 w^2 x^3 y^3 -
 12 b^6 c^6 u^2 v^5 w^2 x^3 y^3 - 4 a^4 c^8 u^2 v^5 w^2 x^3 y^3 +
 10 a^2 b^2 c^8 u^2 v^5 w^2 x^3 y^3 +
 18 b^4 c^8 u^2 v^5 w^2 x^3 y^3 - 6 a^2 c^10 u^2 v^5 w^2 x^3 y^3 -
 12 b^2 c^10 u^2 v^5 w^2 x^3 y^3 + 3 c^12 u^2 v^5 w^2 x^3 y^3 -
 6 a^8 c^4 u v^6 w^2 x^3 y^3 + 18 a^6 b^2 c^4 u v^6 w^2 x^3 y^3 -
 18 a^4 b^4 c^4 u v^6 w^2 x^3 y^3 + 6 a^2 b^6 c^4 u v^6 w^2 x^3 y^3 -
 10 a^6 c^6 u v^6 w^2 x^3 y^3 + 28 a^4 b^2 c^6 u v^6 w^2 x^3 y^3 -
 18 a^2 b^4 c^6 u v^6 w^2 x^3 y^3 - 10 a^4 c^8 u v^6 w^2 x^3 y^3 +
 18 a^2 b^2 c^8 u v^6 w^2 x^3 y^3 - 6 a^2 c^10 u v^6 w^2 x^3 y^3 +
 4 a^4 b^4 c^4 u^6 w^3 x^3 y^3 - 8 a^2 b^6 c^4 u^6 w^3 x^3 y^3 +
 4 b^8 c^4 u^6 w^3 x^3 y^3 - 8 a^2 b^4 c^6 u^6 w^3 x^3 y^3 +
 8 b^6 c^6 u^6 w^3 x^3 y^3 + 4 b^4 c^8 u^6 w^3 x^3 y^3 +
 3 a^10 c^2 u^5 v w^3 x^3 y^3 - 15 a^8 b^2 c^2 u^5 v w^3 x^3 y^3 +
 30 a^6 b^4 c^2 u^5 v w^3 x^3 y^3 -
 30 a^4 b^6 c^2 u^5 v w^3 x^3 y^3 +
 15 a^2 b^8 c^2 u^5 v w^3 x^3 y^3 - 3 b^10 c^2 u^5 v w^3 x^3 y^3 -
 15 a^8 c^4 u^5 v w^3 x^3 y^3 + 32 a^6 b^2 c^4 u^5 v w^3 x^3 y^3 -
 30 a^4 b^4 c^4 u^5 v w^3 x^3 y^3 +
 24 a^2 b^6 c^4 u^5 v w^3 x^3 y^3 - 11 b^8 c^4 u^5 v w^3 x^3 y^3 +
 30 a^6 c^6 u^5 v w^3 x^3 y^3 - 6 a^4 b^2 c^6 u^5 v w^3 x^3 y^3 -
 14 a^2 b^4 c^6 u^5 v w^3 x^3 y^3 - 10 b^6 c^6 u^5 v w^3 x^3 y^3 -
 30 a^4 c^8 u^5 v w^3 x^3 y^3 - 24 a^2 b^2 c^8 u^5 v w^3 x^3 y^3 +
 14 b^4 c^8 u^5 v w^3 x^3 y^3 + 15 a^2 c^10 u^5 v w^3 x^3 y^3 +
 13 b^2 c^10 u^5 v w^3 x^3 y^3 - 3 c^12 u^5 v w^3 x^3 y^3 -
 18 a^8 c^4 u^4 v^2 w^3 x^3 y^3 + 8 a^6 b^2 c^4 u^4 v^2 w^3 x^3 y^3 +
 24 a^4 b^4 c^4 u^4 v^2 w^3 x^3 y^3 -
 14 b^8 c^4 u^4 v^2 w^3 x^3 y^3 + 72 a^6 c^6 u^4 v^2 w^3 x^3 y^3 -
 16 a^4 b^2 c^6 u^4 v^2 w^3 x^3 y^3 -
 48 a^2 b^4 c^6 u^4 v^2 w^3 x^3 y^3 - 8 b^6 c^6 u^4 v^2 w^3 x^3 y^3 -
 108 a^4 c^8 u^4 v^2 w^3 x^3 y^3 +
 8 a^2 b^2 c^8 u^4 v^2 w^3 x^3 y^3 + 40 b^4 c^8 u^4 v^2 w^3 x^3 y^3 +
 72 a^2 c^10 u^4 v^2 w^3 x^3 y^3 - 18 c^12 u^4 v^2 w^3 x^3 y^3 -
 6 a^10 c^2 u^3 v^3 w^3 x^3 y^3 +
 30 a^8 b^2 c^2 u^3 v^3 w^3 x^3 y^3 -
 60 a^6 b^4 c^2 u^3 v^3 w^3 x^3 y^3 +
 60 a^4 b^6 c^2 u^3 v^3 w^3 x^3 y^3 -
 30 a^2 b^8 c^2 u^3 v^3 w^3 x^3 y^3 +
 6 b^10 c^2 u^3 v^3 w^3 x^3 y^3 - 4 a^8 c^4 u^3 v^3 w^3 x^3 y^3 +
 8 a^6 b^2 c^4 u^3 v^3 w^3 x^3 y^3 -
 8 a^2 b^6 c^4 u^3 v^3 w^3 x^3 y^3 + 4 b^8 c^4 u^3 v^3 w^3 x^3 y^3 +
 48 a^6 c^6 u^3 v^3 w^3 x^3 y^3 -
 16 a^4 b^2 c^6 u^3 v^3 w^3 x^3 y^3 +
 16 a^2 b^4 c^6 u^3 v^3 w^3 x^3 y^3 -
 48 b^6 c^6 u^3 v^3 w^3 x^3 y^3 - 60 a^4 c^8 u^3 v^3 w^3 x^3 y^3 +
 60 b^4 c^8 u^3 v^3 w^3 x^3 y^3 + 22 a^2 c^10 u^3 v^3 w^3 x^3 y^3 -
 22 b^2 c^10 u^3 v^3 w^3 x^3 y^3 + 14 a^8 c^4 u^2 v^4 w^3 x^3 y^3 -
 24 a^4 b^4 c^4 u^2 v^4 w^3 x^3 y^3 -
 8 a^2 b^6 c^4 u^2 v^4 w^3 x^3 y^3 + 18 b^8 c^4 u^2 v^4 w^3 x^3 y^3 +
 8 a^6 c^6 u^2 v^4 w^3 x^3 y^3 + 48 a^4 b^2 c^6 u^2 v^4 w^3 x^3 y^3 +
 16 a^2 b^4 c^6 u^2 v^4 w^3 x^3 y^3 -
 72 b^6 c^6 u^2 v^4 w^3 x^3 y^3 - 40 a^4 c^8 u^2 v^4 w^3 x^3 y^3 -
 8 a^2 b^2 c^8 u^2 v^4 w^3 x^3 y^3 +
 108 b^4 c^8 u^2 v^4 w^3 x^3 y^3 - 72 b^2 c^10 u^2 v^4 w^3 x^3 y^3 +
 18 c^12 u^2 v^4 w^3 x^3 y^3 + 3 a^10 c^2 u v^5 w^3 x^3 y^3 -
 15 a^8 b^2 c^2 u v^5 w^3 x^3 y^3 +
 30 a^6 b^4 c^2 u v^5 w^3 x^3 y^3 -
 30 a^4 b^6 c^2 u v^5 w^3 x^3 y^3 +
 15 a^2 b^8 c^2 u v^5 w^3 x^3 y^3 - 3 b^10 c^2 u v^5 w^3 x^3 y^3 +
 11 a^8 c^4 u v^5 w^3 x^3 y^3 - 24 a^6 b^2 c^4 u v^5 w^3 x^3 y^3 +
 30 a^4 b^4 c^4 u v^5 w^3 x^3 y^3 -
 32 a^2 b^6 c^4 u v^5 w^3 x^3 y^3 + 15 b^8 c^4 u v^5 w^3 x^3 y^3 +
 10 a^6 c^6 u v^5 w^3 x^3 y^3 + 14 a^4 b^2 c^6 u v^5 w^3 x^3 y^3 +
 6 a^2 b^4 c^6 u v^5 w^3 x^3 y^3 - 30 b^6 c^6 u v^5 w^3 x^3 y^3 -
 14 a^4 c^8 u v^5 w^3 x^3 y^3 + 24 a^2 b^2 c^8 u v^5 w^3 x^3 y^3 +
 30 b^4 c^8 u v^5 w^3 x^3 y^3 - 13 a^2 c^10 u v^5 w^3 x^3 y^3 -
 15 b^2 c^10 u v^5 w^3 x^3 y^3 + 3 c^12 u v^5 w^3 x^3 y^3 -
 4 a^8 c^4 v^6 w^3 x^3 y^3 + 8 a^6 b^2 c^4 v^6 w^3 x^3 y^3 -
 4 a^4 b^4 c^4 v^6 w^3 x^3 y^3 - 8 a^6 c^6 v^6 w^3 x^3 y^3 +
 8 a^4 b^2 c^6 v^6 w^3 x^3 y^3 - 4 a^4 c^8 v^6 w^3 x^3 y^3 +
 6 a^6 b^4 c^2 u^5 w^4 x^3 y^3 - 18 a^4 b^6 c^2 u^5 w^4 x^3 y^3 +
 18 a^2 b^8 c^2 u^5 w^4 x^3 y^3 - 6 b^10 c^2 u^5 w^4 x^3 y^3 -
 2 a^4 b^4 c^4 u^5 w^4 x^3 y^3 + 12 a^2 b^6 c^4 u^5 w^4 x^3 y^3 -
 10 b^8 c^4 u^5 w^4 x^3 y^3 - 14 a^2 b^4 c^6 u^5 w^4 x^3 y^3 +
 6 b^6 c^6 u^5 w^4 x^3 y^3 + 10 b^4 c^8 u^5 w^4 x^3 y^3 +
 a^12 u^4 v w^4 x^3 y^3 - 6 a^10 b^2 u^4 v w^4 x^3 y^3 +
 15 a^8 b^4 u^4 v w^4 x^3 y^3 - 20 a^6 b^6 u^4 v w^4 x^3 y^3 +
 15 a^4 b^8 u^4 v w^4 x^3 y^3 - 6 a^2 b^10 u^4 v w^4 x^3 y^3 +
 b^12 u^4 v w^4 x^3 y^3 + 3 a^10 c^2 u^4 v w^4 x^3 y^3 -
 5 a^8 b^2 c^2 u^4 v w^4 x^3 y^3 - 4 a^6 b^4 c^2 u^4 v w^4 x^3 y^3 +
 12 a^4 b^6 c^2 u^4 v w^4 x^3 y^3 - 7 a^2 b^8 c^2 u^4 v w^4 x^3 y^3 +
 b^10 c^2 u^4 v w^4 x^3 y^3 - 30 a^8 c^4 u^4 v w^4 x^3 y^3 +
 40 a^6 b^2 c^4 u^4 v w^4 x^3 y^3 -
 18 a^4 b^4 c^4 u^4 v w^4 x^3 y^3 +
 12 a^2 b^6 c^4 u^4 v w^4 x^3 y^3 - 4 b^8 c^4 u^4 v w^4 x^3 y^3 +
 70 a^6 c^6 u^4 v w^4 x^3 y^3 - 30 a^4 b^2 c^6 u^4 v w^4 x^3 y^3 +
 4 a^2 b^4 c^6 u^4 v w^4 x^3 y^3 - 4 b^6 c^6 u^4 v w^4 x^3 y^3 -
 75 a^4 c^8 u^4 v w^4 x^3 y^3 - 10 a^2 b^2 c^8 u^4 v w^4 x^3 y^3 +
 3 b^4 c^8 u^4 v w^4 x^3 y^3 + 39 a^2 c^10 u^4 v w^4 x^3 y^3 +
 11 b^2 c^10 u^4 v w^4 x^3 y^3 - 8 c^12 u^4 v w^4 x^3 y^3 +
 a^12 u^3 v^2 w^4 x^3 y^3 - 6 a^10 b^2 u^3 v^2 w^4 x^3 y^3 +
 15 a^8 b^4 u^3 v^2 w^4 x^3 y^3 - 20 a^6 b^6 u^3 v^2 w^4 x^3 y^3 +
 15 a^4 b^8 u^3 v^2 w^4 x^3 y^3 - 6 a^2 b^10 u^3 v^2 w^4 x^3 y^3 +
 b^12 u^3 v^2 w^4 x^3 y^3 - 3 a^10 c^2 u^3 v^2 w^4 x^3 y^3 +
 13 a^8 b^2 c^2 u^3 v^2 w^4 x^3 y^3 -
 34 a^6 b^4 c^2 u^3 v^2 w^4 x^3 y^3 +
 54 a^4 b^6 c^2 u^3 v^2 w^4 x^3 y^3 -
 43 a^2 b^8 c^2 u^3 v^2 w^4 x^3 y^3 +
 13 b^10 c^2 u^3 v^2 w^4 x^3 y^3 - 12 a^8 c^4 u^3 v^2 w^4 x^3 y^3 -
 36 a^6 b^2 c^4 u^3 v^2 w^4 x^3 y^3 -
 16 a^4 b^4 c^4 u^3 v^2 w^4 x^3 y^3 +
 76 a^2 b^6 c^4 u^3 v^2 w^4 x^3 y^3 -
 12 b^8 c^4 u^3 v^2 w^4 x^3 y^3 + 58 a^6 c^6 u^3 v^2 w^4 x^3 y^3 +
 66 a^4 b^2 c^6 u^3 v^2 w^4 x^3 y^3 -
 38 a^2 b^4 c^6 u^3 v^2 w^4 x^3 y^3 -
 38 b^6 c^6 u^3 v^2 w^4 x^3 y^3 - 87 a^4 c^8 u^3 v^2 w^4 x^3 y^3 -
 46 a^2 b^2 c^8 u^3 v^2 w^4 x^3 y^3 +
 41 b^4 c^8 u^3 v^2 w^4 x^3 y^3 + 57 a^2 c^10 u^3 v^2 w^4 x^3 y^3 +
 9 b^2 c^10 u^3 v^2 w^4 x^3 y^3 - 14 c^12 u^3 v^2 w^4 x^3 y^3 -
 a^12 u^2 v^3 w^4 x^3 y^3 + 6 a^10 b^2 u^2 v^3 w^4 x^3 y^3 -
 15 a^8 b^4 u^2 v^3 w^4 x^3 y^3 + 20 a^6 b^6 u^2 v^3 w^4 x^3 y^3 -
 15 a^4 b^8 u^2 v^3 w^4 x^3 y^3 + 6 a^2 b^10 u^2 v^3 w^4 x^3 y^3 -
 b^12 u^2 v^3 w^4 x^3 y^3 - 13 a^10 c^2 u^2 v^3 w^4 x^3 y^3 +
 43 a^8 b^2 c^2 u^2 v^3 w^4 x^3 y^3 -
 54 a^6 b^4 c^2 u^2 v^3 w^4 x^3 y^3 +
 34 a^4 b^6 c^2 u^2 v^3 w^4 x^3 y^3 -
 13 a^2 b^8 c^2 u^2 v^3 w^4 x^3 y^3 +
 3 b^10 c^2 u^2 v^3 w^4 x^3 y^3 + 12 a^8 c^4 u^2 v^3 w^4 x^3 y^3 -
 76 a^6 b^2 c^4 u^2 v^3 w^4 x^3 y^3 +
 16 a^4 b^4 c^4 u^2 v^3 w^4 x^3 y^3 +
 36 a^2 b^6 c^4 u^2 v^3 w^4 x^3 y^3 +
 12 b^8 c^4 u^2 v^3 w^4 x^3 y^3 + 38 a^6 c^6 u^2 v^3 w^4 x^3 y^3 +
 38 a^4 b^2 c^6 u^2 v^3 w^4 x^3 y^3 -
 66 a^2 b^4 c^6 u^2 v^3 w^4 x^3 y^3 -
 58 b^6 c^6 u^2 v^3 w^4 x^3 y^3 - 41 a^4 c^8 u^2 v^3 w^4 x^3 y^3 +
 46 a^2 b^2 c^8 u^2 v^3 w^4 x^3 y^3 +
 87 b^4 c^8 u^2 v^3 w^4 x^3 y^3 - 9 a^2 c^10 u^2 v^3 w^4 x^3 y^3 -
 57 b^2 c^10 u^2 v^3 w^4 x^3 y^3 + 14 c^12 u^2 v^3 w^4 x^3 y^3 -
 a^12 u v^4 w^4 x^3 y^3 + 6 a^10 b^2 u v^4 w^4 x^3 y^3 -
 15 a^8 b^4 u v^4 w^4 x^3 y^3 + 20 a^6 b^6 u v^4 w^4 x^3 y^3 -
 15 a^4 b^8 u v^4 w^4 x^3 y^3 + 6 a^2 b^10 u v^4 w^4 x^3 y^3 -
 b^12 u v^4 w^4 x^3 y^3 - a^10 c^2 u v^4 w^4 x^3 y^3 +
 7 a^8 b^2 c^2 u v^4 w^4 x^3 y^3 - 12 a^6 b^4 c^2 u v^4 w^4 x^3 y^3 +
 4 a^4 b^6 c^2 u v^4 w^4 x^3 y^3 + 5 a^2 b^8 c^2 u v^4 w^4 x^3 y^3 -
 3 b^10 c^2 u v^4 w^4 x^3 y^3 + 4 a^8 c^4 u v^4 w^4 x^3 y^3 -
 12 a^6 b^2 c^4 u v^4 w^4 x^3 y^3 +
 18 a^4 b^4 c^4 u v^4 w^4 x^3 y^3 -
 40 a^2 b^6 c^4 u v^4 w^4 x^3 y^3 + 30 b^8 c^4 u v^4 w^4 x^3 y^3 +
 4 a^6 c^6 u v^4 w^4 x^3 y^3 - 4 a^4 b^2 c^6 u v^4 w^4 x^3 y^3 +
 30 a^2 b^4 c^6 u v^4 w^4 x^3 y^3 - 70 b^6 c^6 u v^4 w^4 x^3 y^3 -
 3 a^4 c^8 u v^4 w^4 x^3 y^3 + 10 a^2 b^2 c^8 u v^4 w^4 x^3 y^3 +
 75 b^4 c^8 u v^4 w^4 x^3 y^3 - 11 a^2 c^10 u v^4 w^4 x^3 y^3 -
 39 b^2 c^10 u v^4 w^4 x^3 y^3 + 8 c^12 u v^4 w^4 x^3 y^3 +
 6 a^10 c^2 v^5 w^4 x^3 y^3 - 18 a^8 b^2 c^2 v^5 w^4 x^3 y^3 +
 18 a^6 b^4 c^2 v^5 w^4 x^3 y^3 - 6 a^4 b^6 c^2 v^5 w^4 x^3 y^3 +
 10 a^8 c^4 v^5 w^4 x^3 y^3 - 12 a^6 b^2 c^4 v^5 w^4 x^3 y^3 +
 2 a^4 b^4 c^4 v^5 w^4 x^3 y^3 - 6 a^6 c^6 v^5 w^4 x^3 y^3 +
 14 a^4 b^2 c^6 v^5 w^4 x^3 y^3 - 10 a^4 c^8 v^5 w^4 x^3 y^3 +
 2 a^8 b^4 u^4 w^5 x^3 y^3 - 8 a^6 b^6 u^4 w^5 x^3 y^3 +
 12 a^4 b^8 u^4 w^5 x^3 y^3 - 8 a^2 b^10 u^4 w^5 x^3 y^3 +
 2 b^12 u^4 w^5 x^3 y^3 + 8 a^6 b^4 c^2 u^4 w^5 x^3 y^3 -
 12 a^4 b^6 c^2 u^4 w^5 x^3 y^3 + 4 b^10 c^2 u^4 w^5 x^3 y^3 -
 16 a^4 b^4 c^4 u^4 w^5 x^3 y^3 + 24 a^2 b^6 c^4 u^4 w^5 x^3 y^3 -
 8 b^8 c^4 u^4 w^5 x^3 y^3 - 4 b^6 c^6 u^4 w^5 x^3 y^3 +
 6 b^4 c^8 u^4 w^5 x^3 y^3 + 2 a^12 u^3 v w^5 x^3 y^3 -
 8 a^10 b^2 u^3 v w^5 x^3 y^3 + 14 a^8 b^4 u^3 v w^5 x^3 y^3 -
 16 a^6 b^6 u^3 v w^5 x^3 y^3 + 14 a^4 b^8 u^3 v w^5 x^3 y^3 -
 8 a^2 b^10 u^3 v w^5 x^3 y^3 + 2 b^12 u^3 v w^5 x^3 y^3 -
 3 a^10 c^2 u^3 v w^5 x^3 y^3 + 23 a^8 b^2 c^2 u^3 v w^5 x^3 y^3 -
 30 a^6 b^4 c^2 u^3 v w^5 x^3 y^3 + 6 a^4 b^6 c^2 u^3 v w^5 x^3 y^3 +
 a^2 b^8 c^2 u^3 v w^5 x^3 y^3 + 3 b^10 c^2 u^3 v w^5 x^3 y^3 -
 15 a^8 c^4 u^3 v w^5 x^3 y^3 - 32 a^6 b^2 c^4 u^3 v w^5 x^3 y^3 +
 34 a^4 b^4 c^4 u^3 v w^5 x^3 y^3 +
 24 a^2 b^6 c^4 u^3 v w^5 x^3 y^3 - 11 b^8 c^4 u^3 v w^5 x^3 y^3 +
 50 a^6 c^6 u^3 v w^5 x^3 y^3 + 38 a^4 b^2 c^6 u^3 v w^5 x^3 y^3 -
 18 a^2 b^4 c^6 u^3 v w^5 x^3 y^3 + 2 b^6 c^6 u^3 v w^5 x^3 y^3 -
 60 a^4 c^8 u^3 v w^5 x^3 y^3 - 32 a^2 b^2 c^8 u^3 v w^5 x^3 y^3 +
 33 a^2 c^10 u^3 v w^5 x^3 y^3 + 11 b^2 c^10 u^3 v w^5 x^3 y^3 -
 7 c^12 u^3 v w^5 x^3 y^3 + 2 a^12 u^2 v^2 w^5 x^3 y^3 -
 8 a^10 b^2 u^2 v^2 w^5 x^3 y^3 + 10 a^8 b^4 u^2 v^2 w^5 x^3 y^3 -
 10 a^4 b^8 u^2 v^2 w^5 x^3 y^3 + 8 a^2 b^10 u^2 v^2 w^5 x^3 y^3 -
 2 b^12 u^2 v^2 w^5 x^3 y^3 - 2 a^10 c^2 u^2 v^2 w^5 x^3 y^3 +
 22 a^8 b^2 c^2 u^2 v^2 w^5 x^3 y^3 -
 56 a^6 b^4 c^2 u^2 v^2 w^5 x^3 y^3 +
 56 a^4 b^6 c^2 u^2 v^2 w^5 x^3 y^3 -
 22 a^2 b^8 c^2 u^2 v^2 w^5 x^3 y^3 +
 2 b^10 c^2 u^2 v^2 w^5 x^3 y^3 - 12 a^8 c^4 u^2 v^2 w^5 x^3 y^3 -
 32 a^6 b^2 c^4 u^2 v^2 w^5 x^3 y^3 +
 32 a^2 b^6 c^4 u^2 v^2 w^5 x^3 y^3 +
 12 b^8 c^4 u^2 v^2 w^5 x^3 y^3 + 28 a^6 c^6 u^2 v^2 w^5 x^3 y^3 +
 24 a^4 b^2 c^6 u^2 v^2 w^5 x^3 y^3 -
 24 a^2 b^4 c^6 u^2 v^2 w^5 x^3 y^3 -
 28 b^6 c^6 u^2 v^2 w^5 x^3 y^3 - 22 a^4 c^8 u^2 v^2 w^5 x^3 y^3 +
 22 b^4 c^8 u^2 v^2 w^5 x^3 y^3 + 6 a^2 c^10 u^2 v^2 w^5 x^3 y^3 -
 6 b^2 c^10 u^2 v^2 w^5 x^3 y^3 - 2 a^12 u v^3 w^5 x^3 y^3 +
 8 a^10 b^2 u v^3 w^5 x^3 y^3 - 14 a^8 b^4 u v^3 w^5 x^3 y^3 +
 16 a^6 b^6 u v^3 w^5 x^3 y^3 - 14 a^4 b^8 u v^3 w^5 x^3 y^3 +
 8 a^2 b^10 u v^3 w^5 x^3 y^3 - 2 b^12 u v^3 w^5 x^3 y^3 -
 3 a^10 c^2 u v^3 w^5 x^3 y^3 - a^8 b^2 c^2 u v^3 w^5 x^3 y^3 -
 6 a^6 b^4 c^2 u v^3 w^5 x^3 y^3 + 30 a^4 b^6 c^2 u v^3 w^5 x^3 y^3 -
 23 a^2 b^8 c^2 u v^3 w^5 x^3 y^3 + 3 b^10 c^2 u v^3 w^5 x^3 y^3 +
 11 a^8 c^4 u v^3 w^5 x^3 y^3 - 24 a^6 b^2 c^4 u v^3 w^5 x^3 y^3 -
 34 a^4 b^4 c^4 u v^3 w^5 x^3 y^3 +
 32 a^2 b^6 c^4 u v^3 w^5 x^3 y^3 + 15 b^8 c^4 u v^3 w^5 x^3 y^3 -
 2 a^6 c^6 u v^3 w^5 x^3 y^3 + 18 a^4 b^2 c^6 u v^3 w^5 x^3 y^3 -
 38 a^2 b^4 c^6 u v^3 w^5 x^3 y^3 - 50 b^6 c^6 u v^3 w^5 x^3 y^3 +
 32 a^2 b^2 c^8 u v^3 w^5 x^3 y^3 + 60 b^4 c^8 u v^3 w^5 x^3 y^3 -
 11 a^2 c^10 u v^3 w^5 x^3 y^3 - 33 b^2 c^10 u v^3 w^5 x^3 y^3 +
 7 c^12 u v^3 w^5 x^3 y^3 - 2 a^12 v^4 w^5 x^3 y^3 +
 8 a^10 b^2 v^4 w^5 x^3 y^3 - 12 a^8 b^4 v^4 w^5 x^3 y^3 +
 8 a^6 b^6 v^4 w^5 x^3 y^3 - 2 a^4 b^8 v^4 w^5 x^3 y^3 -
 4 a^10 c^2 v^4 w^5 x^3 y^3 + 12 a^6 b^4 c^2 v^4 w^5 x^3 y^3 -
 8 a^4 b^6 c^2 v^4 w^5 x^3 y^3 + 8 a^8 c^4 v^4 w^5 x^3 y^3 -
 24 a^6 b^2 c^4 v^4 w^5 x^3 y^3 + 16 a^4 b^4 c^4 v^4 w^5 x^3 y^3 +
 4 a^6 c^6 v^4 w^5 x^3 y^3 - 6 a^4 c^8 v^4 w^5 x^3 y^3 +
 3 a^8 b^4 u^3 w^6 x^3 y^3 - 8 a^6 b^6 u^3 w^6 x^3 y^3 +
 6 a^4 b^8 u^3 w^6 x^3 y^3 - b^12 u^3 w^6 x^3 y^3 -
 2 a^6 b^4 c^2 u^3 w^6 x^3 y^3 + 6 a^4 b^6 c^2 u^3 w^6 x^3 y^3 -
 6 a^2 b^8 c^2 u^3 w^6 x^3 y^3 + 2 b^10 c^2 u^3 w^6 x^3 y^3 -
 4 a^4 b^4 c^4 u^3 w^6 x^3 y^3 + 4 a^2 b^6 c^4 u^3 w^6 x^3 y^3 +
 2 a^2 b^4 c^6 u^3 w^6 x^3 y^3 - 2 b^6 c^6 u^3 w^6 x^3 y^3 +
 b^4 c^8 u^3 w^6 x^3 y^3 + a^12 u^2 v w^6 x^3 y^3 -
 8 a^6 b^6 u^2 v w^6 x^3 y^3 + 9 a^4 b^8 u^2 v w^6 x^3 y^3 -
 2 b^12 u^2 v w^6 x^3 y^3 - 3 a^10 c^2 u^2 v w^6 x^3 y^3 +
 3 a^8 b^2 c^2 u^2 v w^6 x^3 y^3 + 4 a^6 b^4 c^2 u^2 v w^6 x^3 y^3 -
 9 a^2 b^8 c^2 u^2 v w^6 x^3 y^3 + 5 b^10 c^2 u^2 v w^6 x^3 y^3 -
 14 a^6 b^2 c^4 u^2 v w^6 x^3 y^3 - 2 a^4 b^4 c^4 u^2 v w^6 x^3 y^3 +
 18 a^2 b^6 c^4 u^2 v w^6 x^3 y^3 - 2 b^8 c^4 u^2 v w^6 x^3 y^3 +
 10 a^6 c^6 u^2 v w^6 x^3 y^3 + 24 a^4 b^2 c^6 u^2 v w^6 x^3 y^3 -
 2 b^6 c^6 u^2 v w^6 x^3 y^3 - 15 a^4 c^8 u^2 v w^6 x^3 y^3 -
 18 a^2 b^2 c^8 u^2 v w^6 x^3 y^3 - 2 b^4 c^8 u^2 v w^6 x^3 y^3 +
 9 a^2 c^10 u^2 v w^6 x^3 y^3 + 5 b^2 c^10 u^2 v w^6 x^3 y^3 -
 2 c^12 u^2 v w^6 x^3 y^3 + 2 a^12 u v^2 w^6 x^3 y^3 -
 9 a^8 b^4 u v^2 w^6 x^3 y^3 + 8 a^6 b^6 u v^2 w^6 x^3 y^3 -
 b^12 u v^2 w^6 x^3 y^3 - 5 a^10 c^2 u v^2 w^6 x^3 y^3 +
 9 a^8 b^2 c^2 u v^2 w^6 x^3 y^3 - 4 a^4 b^6 c^2 u v^2 w^6 x^3 y^3 -
 3 a^2 b^8 c^2 u v^2 w^6 x^3 y^3 + 3 b^10 c^2 u v^2 w^6 x^3 y^3 +
 2 a^8 c^4 u v^2 w^6 x^3 y^3 - 18 a^6 b^2 c^4 u v^2 w^6 x^3 y^3 +
 2 a^4 b^4 c^4 u v^2 w^6 x^3 y^3 + 14 a^2 b^6 c^4 u v^2 w^6 x^3 y^3 +
 2 a^6 c^6 u v^2 w^6 x^3 y^3 - 24 a^2 b^4 c^6 u v^2 w^6 x^3 y^3 -
 10 b^6 c^6 u v^2 w^6 x^3 y^3 + 2 a^4 c^8 u v^2 w^6 x^3 y^3 +
 18 a^2 b^2 c^8 u v^2 w^6 x^3 y^3 + 15 b^4 c^8 u v^2 w^6 x^3 y^3 -
 5 a^2 c^10 u v^2 w^6 x^3 y^3 - 9 b^2 c^10 u v^2 w^6 x^3 y^3 +
 2 c^12 u v^2 w^6 x^3 y^3 + a^12 v^3 w^6 x^3 y^3 -
 6 a^8 b^4 v^3 w^6 x^3 y^3 + 8 a^6 b^6 v^3 w^6 x^3 y^3 -
 3 a^4 b^8 v^3 w^6 x^3 y^3 - 2 a^10 c^2 v^3 w^6 x^3 y^3 +
 6 a^8 b^2 c^2 v^3 w^6 x^3 y^3 - 6 a^6 b^4 c^2 v^3 w^6 x^3 y^3 +
 2 a^4 b^6 c^2 v^3 w^6 x^3 y^3 - 4 a^6 b^2 c^4 v^3 w^6 x^3 y^3 +
 4 a^4 b^4 c^4 v^3 w^6 x^3 y^3 + 2 a^6 c^6 v^3 w^6 x^3 y^3 -
 2 a^4 b^2 c^6 v^3 w^6 x^3 y^3 - a^4 c^8 v^3 w^6 x^3 y^3 +
 2 a^8 c^4 u^6 v^2 w x^2 y^4 - 8 a^6 b^2 c^4 u^6 v^2 w x^2 y^4 +
 12 a^4 b^4 c^4 u^6 v^2 w x^2 y^4 - 8 a^2 b^6 c^4 u^6 v^2 w x^2 y^4 +
 2 b^8 c^4 u^6 v^2 w x^2 y^4 - 6 a^6 c^6 u^6 v^2 w x^2 y^4 +
 14 a^4 b^2 c^6 u^6 v^2 w x^2 y^4 -
 10 a^2 b^4 c^6 u^6 v^2 w x^2 y^4 + 2 b^6 c^6 u^6 v^2 w x^2 y^4 +
 6 a^4 c^8 u^6 v^2 w x^2 y^4 - 4 a^2 b^2 c^8 u^6 v^2 w x^2 y^4 -
 2 b^4 c^8 u^6 v^2 w x^2 y^4 - 2 a^2 c^10 u^6 v^2 w x^2 y^4 -
 2 b^2 c^10 u^6 v^2 w x^2 y^4 + 6 a^8 c^4 u^5 v^3 w x^2 y^4 -
 24 a^6 b^2 c^4 u^5 v^3 w x^2 y^4 +
 36 a^4 b^4 c^4 u^5 v^3 w x^2 y^4 -
 24 a^2 b^6 c^4 u^5 v^3 w x^2 y^4 + 6 b^8 c^4 u^5 v^3 w x^2 y^4 -
 8 a^6 c^6 u^5 v^3 w x^2 y^4 + 12 a^4 b^2 c^6 u^5 v^3 w x^2 y^4 -
 4 b^6 c^6 u^5 v^3 w x^2 y^4 + 8 a^2 b^2 c^8 u^5 v^3 w x^2 y^4 -
 8 b^4 c^8 u^5 v^3 w x^2 y^4 + 4 b^2 c^10 u^5 v^3 w x^2 y^4 +
 2 c^12 u^5 v^3 w x^2 y^4 + 6 a^8 c^4 u^4 v^4 w x^2 y^4 -
 24 a^6 b^2 c^4 u^4 v^4 w x^2 y^4 +
 36 a^4 b^4 c^4 u^4 v^4 w x^2 y^4 -
 24 a^2 b^6 c^4 u^4 v^4 w x^2 y^4 + 6 b^8 c^4 u^4 v^4 w x^2 y^4 +
 2 a^6 c^6 u^4 v^4 w x^2 y^4 - 18 a^4 b^2 c^6 u^4 v^4 w x^2 y^4 +
 30 a^2 b^4 c^6 u^4 v^4 w x^2 y^4 - 14 b^6 c^6 u^4 v^4 w x^2 y^4 -
 2 a^4 c^8 u^4 v^4 w x^2 y^4 - 4 a^2 b^2 c^8 u^4 v^4 w x^2 y^4 +
 6 b^4 c^8 u^4 v^4 w x^2 y^4 - 2 a^2 c^10 u^4 v^4 w x^2 y^4 +
 6 b^2 c^10 u^4 v^4 w x^2 y^4 - 4 c^12 u^4 v^4 w x^2 y^4 +
 2 a^8 c^4 u^3 v^5 w x^2 y^4 - 8 a^6 b^2 c^4 u^3 v^5 w x^2 y^4 +
 12 a^4 b^4 c^4 u^3 v^5 w x^2 y^4 - 8 a^2 b^6 c^4 u^3 v^5 w x^2 y^4 +
 2 b^8 c^4 u^3 v^5 w x^2 y^4 + 4 a^6 c^6 u^3 v^5 w x^2 y^4 -
 16 a^4 b^2 c^6 u^3 v^5 w x^2 y^4 +
 20 a^2 b^4 c^6 u^3 v^5 w x^2 y^4 - 8 b^6 c^6 u^3 v^5 w x^2 y^4 +
 4 a^4 c^8 u^3 v^5 w x^2 y^4 - 16 a^2 b^2 c^8 u^3 v^5 w x^2 y^4 +
 12 b^4 c^8 u^3 v^5 w x^2 y^4 + 4 a^2 c^10 u^3 v^5 w x^2 y^4 -
 8 b^2 c^10 u^3 v^5 w x^2 y^4 + 2 c^12 u^3 v^5 w x^2 y^4 -
 6 a^6 b^2 c^4 u^6 v w^2 x^2 y^4 + 18 a^4 b^4 c^4 u^6 v w^2 x^2 y^4 -
 18 a^2 b^6 c^4 u^6 v w^2 x^2 y^4 + 6 b^8 c^4 u^6 v w^2 x^2 y^4 +
 10 a^4 b^2 c^6 u^6 v w^2 x^2 y^4 -
 12 a^2 b^4 c^6 u^6 v w^2 x^2 y^4 + 2 b^6 c^6 u^6 v w^2 x^2 y^4 -
 2 a^2 b^2 c^8 u^6 v w^2 x^2 y^4 - 6 b^4 c^8 u^6 v w^2 x^2 y^4 -
 2 b^2 c^10 u^6 v w^2 x^2 y^4 - 3 a^8 c^4 u^5 v^2 w^2 x^2 y^4 -
 2 a^6 b^2 c^4 u^5 v^2 w^2 x^2 y^4 +
 24 a^4 b^4 c^4 u^5 v^2 w^2 x^2 y^4 -
 30 a^2 b^6 c^4 u^5 v^2 w^2 x^2 y^4 +
 11 b^8 c^4 u^5 v^2 w^2 x^2 y^4 + 6 a^6 c^6 u^5 v^2 w^2 x^2 y^4 +
 8 a^4 b^2 c^6 u^5 v^2 w^2 x^2 y^4 -
 2 a^2 b^4 c^6 u^5 v^2 w^2 x^2 y^4 - 12 b^6 c^6 u^5 v^2 w^2 x^2 y^4 -
 10 a^2 b^2 c^8 u^5 v^2 w^2 x^2 y^4 - 6 b^4 c^8 u^5 v^2 w^2 x^2 y^4 -
 6 a^2 c^10 u^5 v^2 w^2 x^2 y^4 + 4 b^2 c^10 u^5 v^2 w^2 x^2 y^4 +
 3 c^12 u^5 v^2 w^2 x^2 y^4 - 2 a^8 c^4 u^4 v^3 w^2 x^2 y^4 +
 2 a^6 b^2 c^4 u^4 v^3 w^2 x^2 y^4 +
 6 a^4 b^4 c^4 u^4 v^3 w^2 x^2 y^4 -
 10 a^2 b^6 c^4 u^4 v^3 w^2 x^2 y^4 + 4 b^8 c^4 u^4 v^3 w^2 x^2 y^4 +
 12 a^6 c^6 u^4 v^3 w^2 x^2 y^4 +
 14 a^4 b^2 c^6 u^4 v^3 w^2 x^2 y^4 -
 16 a^2 b^4 c^6 u^4 v^3 w^2 x^2 y^4 -
 10 b^6 c^6 u^4 v^3 w^2 x^2 y^4 - 20 a^4 c^8 u^4 v^3 w^2 x^2 y^4 +
 14 a^2 b^2 c^8 u^4 v^3 w^2 x^2 y^4 + 6 b^4 c^8 u^4 v^3 w^2 x^2 y^4 +
 12 a^2 c^10 u^4 v^3 w^2 x^2 y^4 + 2 b^2 c^10 u^4 v^3 w^2 x^2 y^4 -
 2 c^12 u^4 v^3 w^2 x^2 y^4 + 5 a^8 c^4 u^3 v^4 w^2 x^2 y^4 -
 14 a^6 b^2 c^4 u^3 v^4 w^2 x^2 y^4 +
 12 a^4 b^4 c^4 u^3 v^4 w^2 x^2 y^4 -
 2 a^2 b^6 c^4 u^3 v^4 w^2 x^2 y^4 - b^8 c^4 u^3 v^4 w^2 x^2 y^4 +
 26 a^6 c^6 u^3 v^4 w^2 x^2 y^4 -
 16 a^4 b^2 c^6 u^3 v^4 w^2 x^2 y^4 -
 14 a^2 b^4 c^6 u^3 v^4 w^2 x^2 y^4 + 4 b^6 c^6 u^3 v^4 w^2 x^2 y^4 -
 12 a^4 c^8 u^3 v^4 w^2 x^2 y^4 +
 34 a^2 b^2 c^8 u^3 v^4 w^2 x^2 y^4 - 6 b^4 c^8 u^3 v^4 w^2 x^2 y^4 -
 18 a^2 c^10 u^3 v^4 w^2 x^2 y^4 + 4 b^2 c^10 u^3 v^4 w^2 x^2 y^4 -
 c^12 u^3 v^4 w^2 x^2 y^4 + 4 a^8 c^4 u^2 v^5 w^2 x^2 y^4 -
 12 a^6 b^2 c^4 u^2 v^5 w^2 x^2 y^4 +
 12 a^4 b^4 c^4 u^2 v^5 w^2 x^2 y^4 -
 4 a^2 b^6 c^4 u^2 v^5 w^2 x^2 y^4 + 20 a^6 c^6 u^2 v^5 w^2 x^2 y^4 -
 32 a^4 b^2 c^6 u^2 v^5 w^2 x^2 y^4 +
 12 a^2 b^4 c^6 u^2 v^5 w^2 x^2 y^4 +
 20 a^4 c^8 u^2 v^5 w^2 x^2 y^4 -
 12 a^2 b^2 c^8 u^2 v^5 w^2 x^2 y^4 +
 4 a^2 c^10 u^2 v^5 w^2 x^2 y^4 + 4 a^4 b^4 c^4 u^6 w^3 x^2 y^4 -
 8 a^2 b^6 c^4 u^6 w^3 x^2 y^4 + 4 b^8 c^4 u^6 w^3 x^2 y^4 -
 4 b^4 c^8 u^6 w^3 x^2 y^4 + 3 a^10 c^2 u^5 v w^3 x^2 y^4 -
 16 a^8 b^2 c^2 u^5 v w^3 x^2 y^4 +
 34 a^6 b^4 c^2 u^5 v w^3 x^2 y^4 -
 36 a^4 b^6 c^2 u^5 v w^3 x^2 y^4 +
 19 a^2 b^8 c^2 u^5 v w^3 x^2 y^4 - 4 b^10 c^2 u^5 v w^3 x^2 y^4 -
 11 a^8 c^4 u^5 v w^3 x^2 y^4 + 16 a^6 b^2 c^4 u^5 v w^3 x^2 y^4 +
 10 a^4 b^4 c^4 u^5 v w^3 x^2 y^4 -
 24 a^2 b^6 c^4 u^5 v w^3 x^2 y^4 + 9 b^8 c^4 u^5 v w^3 x^2 y^4 +
 14 a^6 c^6 u^5 v w^3 x^2 y^4 + 16 a^4 b^2 c^6 u^5 v w^3 x^2 y^4 -
 26 a^2 b^4 c^6 u^5 v w^3 x^2 y^4 - 4 b^6 c^6 u^5 v w^3 x^2 y^4 -
 6 a^4 c^8 u^5 v w^3 x^2 y^4 - 16 a^2 b^2 c^8 u^5 v w^3 x^2 y^4 -
 2 b^4 c^8 u^5 v w^3 x^2 y^4 - a^2 c^10 u^5 v w^3 x^2 y^4 +
 c^12 u^5 v w^3 x^2 y^4 + 2 a^10 c^2 u^4 v^2 w^3 x^2 y^4 -
 14 a^8 b^2 c^2 u^4 v^2 w^3 x^2 y^4 +
 36 a^6 b^4 c^2 u^4 v^2 w^3 x^2 y^4 -
 44 a^4 b^6 c^2 u^4 v^2 w^3 x^2 y^4 +
 26 a^2 b^8 c^2 u^4 v^2 w^3 x^2 y^4 -
 6 b^10 c^2 u^4 v^2 w^3 x^2 y^4 - 24 a^8 c^4 u^4 v^2 w^3 x^2 y^4 +
 28 a^6 b^2 c^4 u^4 v^2 w^3 x^2 y^4 +
 28 a^4 b^4 c^4 u^4 v^2 w^3 x^2 y^4 -
 44 a^2 b^6 c^4 u^4 v^2 w^3 x^2 y^4 +
 12 b^8 c^4 u^4 v^2 w^3 x^2 y^4 + 56 a^6 c^6 u^4 v^2 w^3 x^2 y^4 -
 36 a^4 b^2 c^6 u^4 v^2 w^3 x^2 y^4 -
 16 a^2 b^4 c^6 u^4 v^2 w^3 x^2 y^4 - 4 b^6 c^6 u^4 v^2 w^3 x^2 y^4 -
 44 a^4 c^8 u^4 v^2 w^3 x^2 y^4 +
 28 a^2 b^2 c^8 u^4 v^2 w^3 x^2 y^4 +
 6 a^2 c^10 u^4 v^2 w^3 x^2 y^4 - 6 b^2 c^10 u^4 v^2 w^3 x^2 y^4 +
 4 c^12 u^4 v^2 w^3 x^2 y^4 - 6 a^10 c^2 u^3 v^3 w^3 x^2 y^4 +
 24 a^8 b^2 c^2 u^3 v^3 w^3 x^2 y^4 -
 36 a^6 b^4 c^2 u^3 v^3 w^3 x^2 y^4 +
 24 a^4 b^6 c^2 u^3 v^3 w^3 x^2 y^4 -
 6 a^2 b^8 c^2 u^3 v^3 w^3 x^2 y^4 - 19 a^8 c^4 u^3 v^3 w^3 x^2 y^4 +
 52 a^6 b^2 c^4 u^3 v^3 w^3 x^2 y^4 -
 50 a^4 b^4 c^4 u^3 v^3 w^3 x^2 y^4 +
 20 a^2 b^6 c^4 u^3 v^3 w^3 x^2 y^4 - 3 b^8 c^4 u^3 v^3 w^3 x^2 y^4 +
 40 a^6 c^6 u^3 v^3 w^3 x^2 y^4 -
 20 a^4 b^2 c^6 u^3 v^3 w^3 x^2 y^4 -
 32 a^2 b^4 c^6 u^3 v^3 w^3 x^2 y^4 +
 12 b^6 c^6 u^3 v^3 w^3 x^2 y^4 - 2 a^4 c^8 u^3 v^3 w^3 x^2 y^4 +
 28 a^2 b^2 c^8 u^3 v^3 w^3 x^2 y^4 -
 18 b^4 c^8 u^3 v^3 w^3 x^2 y^4 - 10 a^2 c^10 u^3 v^3 w^3 x^2 y^4 +
 12 b^2 c^10 u^3 v^3 w^3 x^2 y^4 - 3 c^12 u^3 v^3 w^3 x^2 y^4 -
 6 a^10 c^2 u^2 v^4 w^3 x^2 y^4 +
 26 a^8 b^2 c^2 u^2 v^4 w^3 x^2 y^4 -
 44 a^6 b^4 c^2 u^2 v^4 w^3 x^2 y^4 +
 36 a^4 b^6 c^2 u^2 v^4 w^3 x^2 y^4 -
 14 a^2 b^8 c^2 u^2 v^4 w^3 x^2 y^4 +
 2 b^10 c^2 u^2 v^4 w^3 x^2 y^4 + 6 a^8 c^4 u^2 v^4 w^3 x^2 y^4 +
 20 a^6 b^2 c^4 u^2 v^4 w^3 x^2 y^4 -
 68 a^4 b^4 c^4 u^2 v^4 w^3 x^2 y^4 +
 52 a^2 b^6 c^4 u^2 v^4 w^3 x^2 y^4 -
 10 b^8 c^4 u^2 v^4 w^3 x^2 y^4 + 16 a^6 c^6 u^2 v^4 w^3 x^2 y^4 +
 36 a^4 b^2 c^6 u^2 v^4 w^3 x^2 y^4 -
 72 a^2 b^4 c^6 u^2 v^4 w^3 x^2 y^4 +
 20 b^6 c^6 u^2 v^4 w^3 x^2 y^4 - 4 a^4 c^8 u^2 v^4 w^3 x^2 y^4 +
 44 a^2 b^2 c^8 u^2 v^4 w^3 x^2 y^4 -
 20 b^4 c^8 u^2 v^4 w^3 x^2 y^4 - 10 a^2 c^10 u^2 v^4 w^3 x^2 y^4 +
 10 b^2 c^10 u^2 v^4 w^3 x^2 y^4 - 2 c^12 u^2 v^4 w^3 x^2 y^4 -
 a^10 c^2 u v^5 w^3 x^2 y^4 + 4 a^8 b^2 c^2 u v^5 w^3 x^2 y^4 -
 6 a^6 b^4 c^2 u v^5 w^3 x^2 y^4 + 4 a^4 b^6 c^2 u v^5 w^3 x^2 y^4 -
 a^2 b^8 c^2 u v^5 w^3 x^2 y^4 + 12 a^8 c^4 u v^5 w^3 x^2 y^4 -
 20 a^6 b^2 c^4 u v^5 w^3 x^2 y^4 + 4 a^4 b^4 c^4 u v^5 w^3 x^2 y^4 +
 4 a^2 b^6 c^4 u v^5 w^3 x^2 y^4 + 26 a^6 c^6 u v^5 w^3 x^2 y^4 -
 20 a^4 b^2 c^6 u v^5 w^3 x^2 y^4 - 6 a^2 b^4 c^6 u v^5 w^3 x^2 y^4 +
 12 a^4 c^8 u v^5 w^3 x^2 y^4 + 4 a^2 b^2 c^8 u v^5 w^3 x^2 y^4 -
 a^2 c^10 u v^5 w^3 x^2 y^4 + 4 a^6 b^4 c^2 u^5 w^4 x^2 y^4 -
 12 a^4 b^6 c^2 u^5 w^4 x^2 y^4 + 12 a^2 b^8 c^2 u^5 w^4 x^2 y^4 -
 4 b^10 c^2 u^5 w^4 x^2 y^4 + 12 a^4 b^4 c^4 u^5 w^4 x^2 y^4 -
 16 a^2 b^6 c^4 u^5 w^4 x^2 y^4 + 4 b^8 c^4 u^5 w^4 x^2 y^4 -
 12 a^2 b^4 c^6 u^5 w^4 x^2 y^4 + 4 b^6 c^6 u^5 w^4 x^2 y^4 -
 4 b^4 c^8 u^5 w^4 x^2 y^4 + a^12 u^4 v w^4 x^2 y^4 -
 6 a^10 b^2 u^4 v w^4 x^2 y^4 + 15 a^8 b^4 u^4 v w^4 x^2 y^4 -
 20 a^6 b^6 u^4 v w^4 x^2 y^4 + 15 a^4 b^8 u^4 v w^4 x^2 y^4 -
 6 a^2 b^10 u^4 v w^4 x^2 y^4 + b^12 u^4 v w^4 x^2 y^4 +
 5 a^10 c^2 u^4 v w^4 x^2 y^4 - 22 a^8 b^2 c^2 u^4 v w^4 x^2 y^4 +
 44 a^6 b^4 c^2 u^4 v w^4 x^2 y^4 -
 50 a^4 b^6 c^2 u^4 v w^4 x^2 y^4 +
 31 a^2 b^8 c^2 u^4 v w^4 x^2 y^4 - 8 b^10 c^2 u^4 v w^4 x^2 y^4 -
 28 a^8 c^4 u^4 v w^4 x^2 y^4 + 56 a^6 b^2 c^4 u^4 v w^4 x^2 y^4 -
 14 a^4 b^4 c^4 u^4 v w^4 x^2 y^4 -
 28 a^2 b^6 c^4 u^4 v w^4 x^2 y^4 + 14 b^8 c^4 u^4 v w^4 x^2 y^4 +
 42 a^6 c^6 u^4 v w^4 x^2 y^4 - 24 a^4 b^2 c^6 u^4 v w^4 x^2 y^4 +
 4 a^2 b^4 c^6 u^4 v w^4 x^2 y^4 - 6 b^6 c^6 u^4 v w^4 x^2 y^4 -
 23 a^4 c^8 u^4 v w^4 x^2 y^4 - 2 a^2 b^2 c^8 u^4 v w^4 x^2 y^4 -
 b^4 c^8 u^4 v w^4 x^2 y^4 + a^2 c^10 u^4 v w^4 x^2 y^4 -
 2 b^2 c^10 u^4 v w^4 x^2 y^4 + 2 c^12 u^4 v w^4 x^2 y^4 +
 2 a^12 u^3 v^2 w^4 x^2 y^4 - 12 a^10 b^2 u^3 v^2 w^4 x^2 y^4 +
 30 a^8 b^4 u^3 v^2 w^4 x^2 y^4 - 40 a^6 b^6 u^3 v^2 w^4 x^2 y^4 +
 30 a^4 b^8 u^3 v^2 w^4 x^2 y^4 - 12 a^2 b^10 u^3 v^2 w^4 x^2 y^4 +
 2 b^12 u^3 v^2 w^4 x^2 y^4 + a^10 c^2 u^3 v^2 w^4 x^2 y^4 -
 14 a^8 b^2 c^2 u^3 v^2 w^4 x^2 y^4 +
 42 a^6 b^4 c^2 u^3 v^2 w^4 x^2 y^4 -
 52 a^4 b^6 c^2 u^3 v^2 w^4 x^2 y^4 +
 29 a^2 b^8 c^2 u^3 v^2 w^4 x^2 y^4 -
 6 b^10 c^2 u^3 v^2 w^4 x^2 y^4 - 27 a^8 c^4 u^3 v^2 w^4 x^2 y^4 +
 16 a^6 b^2 c^4 u^3 v^2 w^4 x^2 y^4 +
 6 a^4 b^4 c^4 u^3 v^2 w^4 x^2 y^4 + 5 b^8 c^4 u^3 v^2 w^4 x^2 y^4 +
 54 a^6 c^6 u^3 v^2 w^4 x^2 y^4 + 8 a^4 b^2 c^6 u^3 v^2 w^4 x^2 y^4 -
 30 a^2 b^4 c^6 u^3 v^2 w^4 x^2 y^4 -
 40 a^4 c^8 u^3 v^2 w^4 x^2 y^4 + 4 a^2 b^2 c^8 u^3 v^2 w^4 x^2 y^4 +
 9 a^2 c^10 u^3 v^2 w^4 x^2 y^4 - 2 b^2 c^10 u^3 v^2 w^4 x^2 y^4 +
 c^12 u^3 v^2 w^4 x^2 y^4 + a^12 u^2 v^3 w^4 x^2 y^4 -
 6 a^10 b^2 u^2 v^3 w^4 x^2 y^4 + 15 a^8 b^4 u^2 v^3 w^4 x^2 y^4 -
 20 a^6 b^6 u^2 v^3 w^4 x^2 y^4 + 15 a^4 b^8 u^2 v^3 w^4 x^2 y^4 -
 6 a^2 b^10 u^2 v^3 w^4 x^2 y^4 + b^12 u^2 v^3 w^4 x^2 y^4 -
 13 a^10 c^2 u^2 v^3 w^4 x^2 y^4 +
 42 a^8 b^2 c^2 u^2 v^3 w^4 x^2 y^4 -
 46 a^6 b^4 c^2 u^2 v^3 w^4 x^2 y^4 +
 16 a^4 b^6 c^2 u^2 v^3 w^4 x^2 y^4 +
 3 a^2 b^8 c^2 u^2 v^3 w^4 x^2 y^4 - 2 b^10 c^2 u^2 v^3 w^4 x^2 y^4 -
 17 a^8 c^4 u^2 v^3 w^4 x^2 y^4 -
 18 a^4 b^4 c^4 u^2 v^3 w^4 x^2 y^4 +
 40 a^2 b^6 c^4 u^2 v^3 w^4 x^2 y^4 - 5 b^8 c^4 u^2 v^3 w^4 x^2 y^4 +
 50 a^6 c^6 u^2 v^3 w^4 x^2 y^4 - 8 a^4 b^2 c^6 u^2 v^3 w^4 x^2 y^4 -
 78 a^2 b^4 c^6 u^2 v^3 w^4 x^2 y^4 +
 20 b^6 c^6 u^2 v^3 w^4 x^2 y^4 - 5 a^4 c^8 u^2 v^3 w^4 x^2 y^4 +
 54 a^2 b^2 c^8 u^2 v^3 w^4 x^2 y^4 -
 25 b^4 c^8 u^2 v^3 w^4 x^2 y^4 - 13 a^2 c^10 u^2 v^3 w^4 x^2 y^4 +
 14 b^2 c^10 u^2 v^3 w^4 x^2 y^4 - 3 c^12 u^2 v^3 w^4 x^2 y^4 -
 7 a^10 c^2 u v^4 w^4 x^2 y^4 + 28 a^8 b^2 c^2 u v^4 w^4 x^2 y^4 -
 42 a^6 b^4 c^2 u v^4 w^4 x^2 y^4 +
 28 a^4 b^6 c^2 u v^4 w^4 x^2 y^4 - 7 a^2 b^8 c^2 u v^4 w^4 x^2 y^4 -
 12 a^8 c^4 u v^4 w^4 x^2 y^4 + 28 a^6 b^2 c^4 u v^4 w^4 x^2 y^4 -
 44 a^4 b^4 c^4 u v^4 w^4 x^2 y^4 +
 28 a^2 b^6 c^4 u v^4 w^4 x^2 y^4 + 14 a^6 c^6 u v^4 w^4 x^2 y^4 +
 4 a^4 b^2 c^6 u v^4 w^4 x^2 y^4 - 42 a^2 b^4 c^6 u v^4 w^4 x^2 y^4 +
 12 a^4 c^8 u v^4 w^4 x^2 y^4 + 28 a^2 b^2 c^8 u v^4 w^4 x^2 y^4 -
 7 a^2 c^10 u v^4 w^4 x^2 y^4 + 2 a^10 c^2 v^5 w^4 x^2 y^4 -
 6 a^8 b^2 c^2 v^5 w^4 x^2 y^4 + 6 a^6 b^4 c^2 v^5 w^4 x^2 y^4 -
 2 a^4 b^6 c^2 v^5 w^4 x^2 y^4 + 6 a^8 c^4 v^5 w^4 x^2 y^4 -
 12 a^6 b^2 c^4 v^5 w^4 x^2 y^4 + 6 a^4 b^4 c^4 v^5 w^4 x^2 y^4 +
 6 a^6 c^6 v^5 w^4 x^2 y^4 - 6 a^4 b^2 c^6 v^5 w^4 x^2 y^4 +
 2 a^4 c^8 v^5 w^4 x^2 y^4 + a^8 b^4 u^4 w^5 x^2 y^4 -
 4 a^6 b^6 u^4 w^5 x^2 y^4 + 6 a^4 b^8 u^4 w^5 x^2 y^4 -
 4 a^2 b^10 u^4 w^5 x^2 y^4 + b^12 u^4 w^5 x^2 y^4 +
 10 a^6 b^4 c^2 u^4 w^5 x^2 y^4 - 22 a^4 b^6 c^2 u^4 w^5 x^2 y^4 +
 14 a^2 b^8 c^2 u^4 w^5 x^2 y^4 - 2 b^10 c^2 u^4 w^5 x^2 y^4 -
 10 a^2 b^4 c^6 u^4 w^5 x^2 y^4 + 2 b^6 c^6 u^4 w^5 x^2 y^4 -
 b^4 c^8 u^4 w^5 x^2 y^4 + 2 a^12 u^3 v w^5 x^2 y^4 -
 10 a^10 b^2 u^3 v w^5 x^2 y^4 + 22 a^8 b^4 u^3 v w^5 x^2 y^4 -
 28 a^6 b^6 u^3 v w^5 x^2 y^4 + 22 a^4 b^8 u^3 v w^5 x^2 y^4 -
 10 a^2 b^10 u^3 v w^5 x^2 y^4 + 2 b^12 u^3 v w^5 x^2 y^4 +
 a^10 c^2 u^3 v w^5 x^2 y^4 + 6 a^8 b^2 c^2 u^3 v w^5 x^2 y^4 +
 2 a^6 b^4 c^2 u^3 v w^5 x^2 y^4 - 32 a^4 b^6 c^2 u^3 v w^5 x^2 y^4 +
 29 a^2 b^8 c^2 u^3 v w^5 x^2 y^4 - 6 b^10 c^2 u^3 v w^5 x^2 y^4 -
 23 a^8 c^4 u^3 v w^5 x^2 y^4 + 12 a^6 b^2 c^4 u^3 v w^5 x^2 y^4 +
 26 a^4 b^4 c^4 u^3 v w^5 x^2 y^4 -
 20 a^2 b^6 c^4 u^3 v w^5 x^2 y^4 + 5 b^8 c^4 u^3 v w^5 x^2 y^4 +
 42 a^6 c^6 u^3 v w^5 x^2 y^4 - 4 a^4 b^2 c^6 u^3 v w^5 x^2 y^4 -
 2 a^2 b^4 c^6 u^3 v w^5 x^2 y^4 - 28 a^4 c^8 u^3 v w^5 x^2 y^4 -
 2 a^2 b^2 c^8 u^3 v w^5 x^2 y^4 + 5 a^2 c^10 u^3 v w^5 x^2 y^4 -
 2 b^2 c^10 u^3 v w^5 x^2 y^4 + c^12 u^3 v w^5 x^2 y^4 +
 3 a^12 u^2 v^2 w^5 x^2 y^4 - 16 a^10 b^2 u^2 v^2 w^5 x^2 y^4 +
 35 a^8 b^4 u^2 v^2 w^5 x^2 y^4 - 40 a^6 b^6 u^2 v^2 w^5 x^2 y^4 +
 25 a^4 b^8 u^2 v^2 w^5 x^2 y^4 - 8 a^2 b^10 u^2 v^2 w^5 x^2 y^4 +
 b^12 u^2 v^2 w^5 x^2 y^4 + 4 a^10 c^2 u^2 v^2 w^5 x^2 y^4 -
 2 a^8 b^2 c^2 u^2 v^2 w^5 x^2 y^4 -
 2 a^6 b^4 c^2 u^2 v^2 w^5 x^2 y^4 -
 10 a^4 b^6 c^2 u^2 v^2 w^5 x^2 y^4 +
 14 a^2 b^8 c^2 u^2 v^2 w^5 x^2 y^4 -
 4 b^10 c^2 u^2 v^2 w^5 x^2 y^4 - 29 a^8 c^4 u^2 v^2 w^5 x^2 y^4 +
 16 a^6 b^2 c^4 u^2 v^2 w^5 x^2 y^4 +
 4 a^4 b^4 c^4 u^2 v^2 w^5 x^2 y^4 +
 4 a^2 b^6 c^4 u^2 v^2 w^5 x^2 y^4 + 5 b^8 c^4 u^2 v^2 w^5 x^2 y^4 +
 34 a^6 c^6 u^2 v^2 w^5 x^2 y^4 - 6 a^4 b^2 c^6 u^2 v^2 w^5 x^2 y^4 -
 16 a^2 b^4 c^6 u^2 v^2 w^5 x^2 y^4 -
 13 a^4 c^8 u^2 v^2 w^5 x^2 y^4 + 4 a^2 b^2 c^8 u^2 v^2 w^5 x^2 y^4 -
 5 b^4 c^8 u^2 v^2 w^5 x^2 y^4 + 2 a^2 c^10 u^2 v^2 w^5 x^2 y^4 +
 4 b^2 c^10 u^2 v^2 w^5 x^2 y^4 - c^12 u^2 v^2 w^5 x^2 y^4 -
 2 a^10 b^2 u v^3 w^5 x^2 y^4 + 8 a^8 b^4 u v^3 w^5 x^2 y^4 -
 12 a^6 b^6 u v^3 w^5 x^2 y^4 + 8 a^4 b^8 u v^3 w^5 x^2 y^4 -
 2 a^2 b^10 u v^3 w^5 x^2 y^4 - a^10 c^2 u v^3 w^5 x^2 y^4 +
 2 a^6 b^4 c^2 u v^3 w^5 x^2 y^4 - a^2 b^8 c^2 u v^3 w^5 x^2 y^4 -
 8 a^8 c^4 u v^3 w^5 x^2 y^4 - 16 a^4 b^4 c^4 u v^3 w^5 x^2 y^4 +
 24 a^2 b^6 c^4 u v^3 w^5 x^2 y^4 + 10 a^6 c^6 u v^3 w^5 x^2 y^4 -
 46 a^2 b^4 c^6 u v^3 w^5 x^2 y^4 + 8 a^4 c^8 u v^3 w^5 x^2 y^4 +
 34 a^2 b^2 c^8 u v^3 w^5 x^2 y^4 - 9 a^2 c^10 u v^3 w^5 x^2 y^4 -
 a^12 v^4 w^5 x^2 y^4 + 4 a^10 b^2 v^4 w^5 x^2 y^4 -
 6 a^8 b^4 v^4 w^5 x^2 y^4 + 4 a^6 b^6 v^4 w^5 x^2 y^4 -
 a^4 b^8 v^4 w^5 x^2 y^4 - 4 a^10 c^2 v^4 w^5 x^2 y^4 +
 8 a^8 b^2 c^2 v^4 w^5 x^2 y^4 - 4 a^6 b^4 c^2 v^4 w^5 x^2 y^4 -
 2 a^8 c^4 v^4 w^5 x^2 y^4 - 4 a^6 b^2 c^4 v^4 w^5 x^2 y^4 +
 6 a^4 b^4 c^4 v^4 w^5 x^2 y^4 + 4 a^6 c^6 v^4 w^5 x^2 y^4 -
 8 a^4 b^2 c^6 v^4 w^5 x^2 y^4 + 3 a^4 c^8 v^4 w^5 x^2 y^4 +
 2 a^8 b^4 u^3 w^6 x^2 y^4 - 6 a^6 b^6 u^3 w^6 x^2 y^4 +
 6 a^4 b^8 u^3 w^6 x^2 y^4 - 2 a^2 b^10 u^3 w^6 x^2 y^4 +
 2 a^6 b^4 c^2 u^3 w^6 x^2 y^4 - 4 a^4 b^6 c^2 u^3 w^6 x^2 y^4 +
 2 a^2 b^8 c^2 u^3 w^6 x^2 y^4 - 2 a^4 b^4 c^4 u^3 w^6 x^2 y^4 +
 2 a^2 b^6 c^4 u^3 w^6 x^2 y^4 - 2 a^2 b^4 c^6 u^3 w^6 x^2 y^4 +
 a^12 u^2 v w^6 x^2 y^4 - 2 a^10 b^2 u^2 v w^6 x^2 y^4 +
 4 a^8 b^4 u^2 v w^6 x^2 y^4 - 10 a^6 b^6 u^2 v w^6 x^2 y^4 +
 11 a^4 b^8 u^2 v w^6 x^2 y^4 - 4 a^2 b^10 u^2 v w^6 x^2 y^4 -
 a^10 c^2 u^2 v w^6 x^2 y^4 + 2 a^8 b^2 c^2 u^2 v w^6 x^2 y^4 +
 6 a^6 b^4 c^2 u^2 v w^6 x^2 y^4 - 14 a^4 b^6 c^2 u^2 v w^6 x^2 y^4 +
 7 a^2 b^8 c^2 u^2 v w^6 x^2 y^4 - 6 a^8 c^4 u^2 v w^6 x^2 y^4 -
 2 a^6 b^2 c^4 u^2 v w^6 x^2 y^4 + 8 a^4 b^4 c^4 u^2 v w^6 x^2 y^4 +
 14 a^6 c^6 u^2 v w^6 x^2 y^4 + 6 a^4 b^2 c^6 u^2 v w^6 x^2 y^4 -
 2 a^2 b^4 c^6 u^2 v w^6 x^2 y^4 - 11 a^4 c^8 u^2 v w^6 x^2 y^4 -
 4 a^2 b^2 c^8 u^2 v w^6 x^2 y^4 + 3 a^2 c^10 u^2 v w^6 x^2 y^4 +
 2 a^12 u v^2 w^6 x^2 y^4 - 4 a^10 b^2 u v^2 w^6 x^2 y^4 +
 2 a^8 b^4 u v^2 w^6 x^2 y^4 - 2 a^6 b^6 u v^2 w^6 x^2 y^4 +
 4 a^4 b^8 u v^2 w^6 x^2 y^4 - 2 a^2 b^10 u v^2 w^6 x^2 y^4 -
 a^10 c^2 u v^2 w^6 x^2 y^4 + 4 a^8 b^2 c^2 u v^2 w^6 x^2 y^4 -
 8 a^4 b^6 c^2 u v^2 w^6 x^2 y^4 + 5 a^2 b^8 c^2 u v^2 w^6 x^2 y^4 -
 6 a^8 c^4 u v^2 w^6 x^2 y^4 - 2 a^6 b^2 c^4 u v^2 w^6 x^2 y^4 +
 8 a^4 b^4 c^4 u v^2 w^6 x^2 y^4 + 4 a^6 c^6 u v^2 w^6 x^2 y^4 -
 8 a^4 b^2 c^6 u v^2 w^6 x^2 y^4 - 10 a^2 b^4 c^6 u v^2 w^6 x^2 y^4 +
 4 a^4 c^8 u v^2 w^6 x^2 y^4 + 10 a^2 b^2 c^8 u v^2 w^6 x^2 y^4 -
 3 a^2 c^10 u v^2 w^6 x^2 y^4 + a^12 v^3 w^6 x^2 y^4 -
 2 a^10 b^2 v^3 w^6 x^2 y^4 + 2 a^6 b^6 v^3 w^6 x^2 y^4 -
 a^4 b^8 v^3 w^6 x^2 y^4 + 2 a^8 b^2 c^2 v^3 w^6 x^2 y^4 -
 4 a^6 b^4 c^2 v^3 w^6 x^2 y^4 + 2 a^4 b^6 c^2 v^3 w^6 x^2 y^4 -
 2 a^8 c^4 v^3 w^6 x^2 y^4 + 2 a^6 b^2 c^4 v^3 w^6 x^2 y^4 -
 2 a^4 b^2 c^6 v^3 w^6 x^2 y^4 + a^4 c^8 v^3 w^6 x^2 y^4 +
 a^8 c^4 u^5 v^4 x^4 y z - 4 a^6 b^2 c^4 u^5 v^4 x^4 y z +
 6 a^4 b^4 c^4 u^5 v^4 x^4 y z - 4 a^2 b^6 c^4 u^5 v^4 x^4 y z +
 b^8 c^4 u^5 v^4 x^4 y z - 4 a^6 c^6 u^5 v^4 x^4 y z +
 12 a^4 b^2 c^6 u^5 v^4 x^4 y z - 12 a^2 b^4 c^6 u^5 v^4 x^4 y z +
 4 b^6 c^6 u^5 v^4 x^4 y z + 6 a^4 c^8 u^5 v^4 x^4 y z -
 12 a^2 b^2 c^8 u^5 v^4 x^4 y z + 6 b^4 c^8 u^5 v^4 x^4 y z -
 4 a^2 c^10 u^5 v^4 x^4 y z + 4 b^2 c^10 u^5 v^4 x^4 y z +
 c^12 u^5 v^4 x^4 y z + 2 a^8 c^4 u^4 v^5 x^4 y z -
 8 a^6 b^2 c^4 u^4 v^5 x^4 y z + 12 a^4 b^4 c^4 u^4 v^5 x^4 y z -
 8 a^2 b^6 c^4 u^4 v^5 x^4 y z + 2 b^8 c^4 u^4 v^5 x^4 y z -
 4 a^6 c^6 u^4 v^5 x^4 y z + 12 a^4 b^2 c^6 u^4 v^5 x^4 y z -
 12 a^2 b^4 c^6 u^4 v^5 x^4 y z + 4 b^6 c^6 u^4 v^5 x^4 y z +
 4 a^2 c^10 u^4 v^5 x^4 y z - 4 b^2 c^10 u^4 v^5 x^4 y z -
 2 c^12 u^4 v^5 x^4 y z + a^8 c^4 u^3 v^6 x^4 y z -
 4 a^6 b^2 c^4 u^3 v^6 x^4 y z + 6 a^4 b^4 c^4 u^3 v^6 x^4 y z -
 4 a^2 b^6 c^4 u^3 v^6 x^4 y z + b^8 c^4 u^3 v^6 x^4 y z -
 2 a^4 c^8 u^3 v^6 x^4 y z + 4 a^2 b^2 c^8 u^3 v^6 x^4 y z -
 2 b^4 c^8 u^3 v^6 x^4 y z + c^12 u^3 v^6 x^4 y z +
 a^10 c^2 u^5 v^3 w x^4 y z - 5 a^8 b^2 c^2 u^5 v^3 w x^4 y z +
 10 a^6 b^4 c^2 u^5 v^3 w x^4 y z -
 10 a^4 b^6 c^2 u^5 v^3 w x^4 y z + 5 a^2 b^8 c^2 u^5 v^3 w x^4 y z -
 b^10 c^2 u^5 v^3 w x^4 y z - 5 a^8 c^4 u^5 v^3 w x^4 y z +
 14 a^6 b^2 c^4 u^5 v^3 w x^4 y z -
 12 a^4 b^4 c^4 u^5 v^3 w x^4 y z + 2 a^2 b^6 c^4 u^5 v^3 w x^4 y z +
 b^8 c^4 u^5 v^3 w x^4 y z + 10 a^6 c^6 u^5 v^3 w x^4 y z -
 12 a^4 b^2 c^6 u^5 v^3 w x^4 y z -
 14 a^2 b^4 c^6 u^5 v^3 w x^4 y z + 16 b^6 c^6 u^5 v^3 w x^4 y z -
 10 a^4 c^8 u^5 v^3 w x^4 y z + 2 a^2 b^2 c^8 u^5 v^3 w x^4 y z +
 16 b^4 c^8 u^5 v^3 w x^4 y z + 5 a^2 c^10 u^5 v^3 w x^4 y z +
 b^2 c^10 u^5 v^3 w x^4 y z - c^12 u^5 v^3 w x^4 y z +
 5 a^10 c^2 u^4 v^4 w x^4 y z - 25 a^8 b^2 c^2 u^4 v^4 w x^4 y z +
 50 a^6 b^4 c^2 u^4 v^4 w x^4 y z -
 50 a^4 b^6 c^2 u^4 v^4 w x^4 y z +
 25 a^2 b^8 c^2 u^4 v^4 w x^4 y z - 5 b^10 c^2 u^4 v^4 w x^4 y z -
 18 a^8 c^4 u^4 v^4 w x^4 y z + 58 a^6 b^2 c^4 u^4 v^4 w x^4 y z -
 66 a^4 b^4 c^4 u^4 v^4 w x^4 y z +
 30 a^2 b^6 c^4 u^4 v^4 w x^4 y z - 4 b^8 c^4 u^4 v^4 w x^4 y z +
 22 a^6 c^6 u^4 v^4 w x^4 y z - 48 a^4 b^2 c^6 u^4 v^4 w x^4 y z +
 6 a^2 b^4 c^6 u^4 v^4 w x^4 y z + 20 b^6 c^6 u^4 v^4 w x^4 y z -
 8 a^4 c^8 u^4 v^4 w x^4 y z + 22 a^2 b^2 c^8 u^4 v^4 w x^4 y z -
 6 b^4 c^8 u^4 v^4 w x^4 y z - 3 a^2 c^10 u^4 v^4 w x^4 y z -
 7 b^2 c^10 u^4 v^4 w x^4 y z + 2 c^12 u^4 v^4 w x^4 y z +
 7 a^10 c^2 u^3 v^5 w x^4 y z - 35 a^8 b^2 c^2 u^3 v^5 w x^4 y z +
 70 a^6 b^4 c^2 u^3 v^5 w x^4 y z -
 70 a^4 b^6 c^2 u^3 v^5 w x^4 y z +
 35 a^2 b^8 c^2 u^3 v^5 w x^4 y z - 7 b^10 c^2 u^3 v^5 w x^4 y z -
 13 a^8 c^4 u^3 v^5 w x^4 y z + 42 a^6 b^2 c^4 u^3 v^5 w x^4 y z -
 48 a^4 b^4 c^4 u^3 v^5 w x^4 y z +
 22 a^2 b^6 c^4 u^3 v^5 w x^4 y z - 3 b^8 c^4 u^3 v^5 w x^4 y z -
 2 a^4 b^2 c^6 u^3 v^5 w x^4 y z - 20 a^2 b^4 c^6 u^3 v^5 w x^4 y z +
 22 b^6 c^6 u^3 v^5 w x^4 y z + 8 a^4 c^8 u^3 v^5 w x^4 y z -
 6 a^2 b^2 c^8 u^3 v^5 w x^4 y z - 10 b^4 c^8 u^3 v^5 w x^4 y z +
 a^2 c^10 u^3 v^5 w x^4 y z + b^2 c^10 u^3 v^5 w x^4 y z -
 3 c^12 u^3 v^5 w x^4 y z + 3 a^10 c^2 u^2 v^6 w x^4 y z -
 15 a^8 b^2 c^2 u^2 v^6 w x^4 y z +
 30 a^6 b^4 c^2 u^2 v^6 w x^4 y z -
 30 a^4 b^6 c^2 u^2 v^6 w x^4 y z +
 15 a^2 b^8 c^2 u^2 v^6 w x^4 y z - 3 b^10 c^2 u^2 v^6 w x^4 y z -
 2 a^6 b^2 c^4 u^2 v^6 w x^4 y z + 6 a^4 b^4 c^4 u^2 v^6 w x^4 y z -
 6 a^2 b^6 c^4 u^2 v^6 w x^4 y z + 2 b^8 c^4 u^2 v^6 w x^4 y z -
 4 a^6 c^6 u^2 v^6 w x^4 y z + 10 a^4 b^2 c^6 u^2 v^6 w x^4 y z -
 16 a^2 b^4 c^6 u^2 v^6 w x^4 y z + 10 b^6 c^6 u^2 v^6 w x^4 y z -
 2 a^4 c^8 u^2 v^6 w x^4 y z + 6 a^2 b^2 c^8 u^2 v^6 w x^4 y z -
 12 b^4 c^8 u^2 v^6 w x^4 y z + a^2 c^10 u^2 v^6 w x^4 y z +
 b^2 c^10 u^2 v^6 w x^4 y z + 2 c^12 u^2 v^6 w x^4 y z -
 a^12 u^4 v^3 w^2 x^4 y z + 6 a^10 b^2 u^4 v^3 w^2 x^4 y z -
 15 a^8 b^4 u^4 v^3 w^2 x^4 y z + 20 a^6 b^6 u^4 v^3 w^2 x^4 y z -
 15 a^4 b^8 u^4 v^3 w^2 x^4 y z + 6 a^2 b^10 u^4 v^3 w^2 x^4 y z -
 b^12 u^4 v^3 w^2 x^4 y z + 6 a^10 c^2 u^4 v^3 w^2 x^4 y z -
 32 a^8 b^2 c^2 u^4 v^3 w^2 x^4 y z +
 68 a^6 b^4 c^2 u^4 v^3 w^2 x^4 y z -
 72 a^4 b^6 c^2 u^4 v^3 w^2 x^4 y z +
 38 a^2 b^8 c^2 u^4 v^3 w^2 x^4 y z -
 8 b^10 c^2 u^4 v^3 w^2 x^4 y z - 15 a^8 c^4 u^4 v^3 w^2 x^4 y z +
 50 a^6 b^2 c^4 u^4 v^3 w^2 x^4 y z -
 76 a^4 b^4 c^4 u^4 v^3 w^2 x^4 y z +
 62 a^2 b^6 c^4 u^4 v^3 w^2 x^4 y z -
 21 b^8 c^4 u^4 v^3 w^2 x^4 y z + 20 a^6 c^6 u^4 v^3 w^2 x^4 y z -
 18 a^4 b^2 c^6 u^4 v^3 w^2 x^4 y z - 2 b^6 c^6 u^4 v^3 w^2 x^4 y z -
 15 a^4 c^8 u^4 v^3 w^2 x^4 y z -
 16 a^2 b^2 c^8 u^4 v^3 w^2 x^4 y z +
 23 b^4 c^8 u^4 v^3 w^2 x^4 y z + 6 a^2 c^10 u^4 v^3 w^2 x^4 y z +
 10 b^2 c^10 u^4 v^3 w^2 x^4 y z - c^12 u^4 v^3 w^2 x^4 y z -
 2 a^12 u^3 v^4 w^2 x^4 y z + 12 a^10 b^2 u^3 v^4 w^2 x^4 y z -
 30 a^8 b^4 u^3 v^4 w^2 x^4 y z + 40 a^6 b^6 u^3 v^4 w^2 x^4 y z -
 30 a^4 b^8 u^3 v^4 w^2 x^4 y z + 12 a^2 b^10 u^3 v^4 w^2 x^4 y z -
 2 b^12 u^3 v^4 w^2 x^4 y z + 13 a^10 c^2 u^3 v^4 w^2 x^4 y z -
 61 a^8 b^2 c^2 u^3 v^4 w^2 x^4 y z +
 114 a^6 b^4 c^2 u^3 v^4 w^2 x^4 y z -
 106 a^4 b^6 c^2 u^3 v^4 w^2 x^4 y z +
 49 a^2 b^8 c^2 u^3 v^4 w^2 x^4 y z -
 9 b^10 c^2 u^3 v^4 w^2 x^4 y z - 32 a^8 c^4 u^3 v^4 w^2 x^4 y z +
 68 a^6 b^2 c^4 u^3 v^4 w^2 x^4 y z -
 56 a^4 b^4 c^4 u^3 v^4 w^2 x^4 y z +
 36 a^2 b^6 c^4 u^3 v^4 w^2 x^4 y z -
 16 b^8 c^4 u^3 v^4 w^2 x^4 y z + 38 a^6 c^6 u^3 v^4 w^2 x^4 y z -
 22 a^4 b^2 c^6 u^3 v^4 w^2 x^4 y z -
 62 a^2 b^4 c^6 u^3 v^4 w^2 x^4 y z +
 46 b^6 c^6 u^3 v^4 w^2 x^4 y z - 22 a^4 c^8 u^3 v^4 w^2 x^4 y z +
 24 a^2 b^2 c^8 u^3 v^4 w^2 x^4 y z + 2 b^4 c^8 u^3 v^4 w^2 x^4 y z +
 5 a^2 c^10 u^3 v^4 w^2 x^4 y z - 21 b^2 c^10 u^3 v^4 w^2 x^4 y z -
 a^12 u^2 v^5 w^2 x^4 y z + 6 a^10 b^2 u^2 v^5 w^2 x^4 y z -
 15 a^8 b^4 u^2 v^5 w^2 x^4 y z + 20 a^6 b^6 u^2 v^5 w^2 x^4 y z -
 15 a^4 b^8 u^2 v^5 w^2 x^4 y z + 6 a^2 b^10 u^2 v^5 w^2 x^4 y z -
 b^12 u^2 v^5 w^2 x^4 y z + 12 a^10 c^2 u^2 v^5 w^2 x^4 y z -
 46 a^8 b^2 c^2 u^2 v^5 w^2 x^4 y z +
 64 a^6 b^4 c^2 u^2 v^5 w^2 x^4 y z -
 36 a^4 b^6 c^2 u^2 v^5 w^2 x^4 y z +
 4 a^2 b^8 c^2 u^2 v^5 w^2 x^4 y z + 2 b^10 c^2 u^2 v^5 w^2 x^4 y z -
 20 a^8 c^4 u^2 v^5 w^2 x^4 y z +
 30 a^6 b^2 c^4 u^2 v^5 w^2 x^4 y z -
 10 a^4 b^4 c^4 u^2 v^5 w^2 x^4 y z +
 10 a^2 b^6 c^4 u^2 v^5 w^2 x^4 y z -
 10 b^8 c^4 u^2 v^5 w^2 x^4 y z - 2 a^6 c^6 u^2 v^5 w^2 x^4 y z -
 8 a^4 b^2 c^6 u^2 v^5 w^2 x^4 y z -
 18 a^2 b^4 c^6 u^2 v^5 w^2 x^4 y z +
 28 b^6 c^6 u^2 v^5 w^2 x^4 y z + 21 a^4 c^8 u^2 v^5 w^2 x^4 y z +
 8 a^2 b^2 c^8 u^2 v^5 w^2 x^4 y z - 29 b^4 c^8 u^2 v^5 w^2 x^4 y z -
 10 a^2 c^10 u^2 v^5 w^2 x^4 y z + 10 b^2 c^10 u^2 v^5 w^2 x^4 y z +
 5 a^10 c^2 u v^6 w^2 x^4 y z - 17 a^8 b^2 c^2 u v^6 w^2 x^4 y z +
 18 a^6 b^4 c^2 u v^6 w^2 x^4 y z - 2 a^4 b^6 c^2 u v^6 w^2 x^4 y z -
 7 a^2 b^8 c^2 u v^6 w^2 x^4 y z + 3 b^10 c^2 u v^6 w^2 x^4 y z +
 a^8 c^4 u v^6 w^2 x^4 y z - 4 a^6 b^2 c^4 u v^6 w^2 x^4 y z -
 6 a^4 b^4 c^4 u v^6 w^2 x^4 y z + 20 a^2 b^6 c^4 u v^6 w^2 x^4 y z -
 11 b^8 c^4 u v^6 w^2 x^4 y z - 14 a^6 c^6 u v^6 w^2 x^4 y z +
 18 a^4 b^2 c^6 u v^6 w^2 x^4 y z -
 18 a^2 b^4 c^6 u v^6 w^2 x^4 y z + 14 b^6 c^6 u v^6 w^2 x^4 y z +
 6 a^4 c^8 u v^6 w^2 x^4 y z + 4 a^2 b^2 c^8 u v^6 w^2 x^4 y z -
 6 b^4 c^8 u v^6 w^2 x^4 y z + a^2 c^10 u v^6 w^2 x^4 y z -
 b^2 c^10 u v^6 w^2 x^4 y z + c^12 u v^6 w^2 x^4 y z -
 a^10 b^2 u^5 v w^3 x^4 y z + 5 a^8 b^4 u^5 v w^3 x^4 y z -
 10 a^6 b^6 u^5 v w^3 x^4 y z + 10 a^4 b^8 u^5 v w^3 x^4 y z -
 5 a^2 b^10 u^5 v w^3 x^4 y z + b^12 u^5 v w^3 x^4 y z +
 5 a^8 b^2 c^2 u^5 v w^3 x^4 y z - 14 a^6 b^4 c^2 u^5 v w^3 x^4 y z +
 12 a^4 b^6 c^2 u^5 v w^3 x^4 y z - 2 a^2 b^8 c^2 u^5 v w^3 x^4 y z -
 b^10 c^2 u^5 v w^3 x^4 y z - 10 a^6 b^2 c^4 u^5 v w^3 x^4 y z +
 12 a^4 b^4 c^4 u^5 v w^3 x^4 y z +
 14 a^2 b^6 c^4 u^5 v w^3 x^4 y z - 16 b^8 c^4 u^5 v w^3 x^4 y z +
 10 a^4 b^2 c^6 u^5 v w^3 x^4 y z - 2 a^2 b^4 c^6 u^5 v w^3 x^4 y z -
 16 b^6 c^6 u^5 v w^3 x^4 y z - 5 a^2 b^2 c^8 u^5 v w^3 x^4 y z -
 b^4 c^8 u^5 v w^3 x^4 y z + b^2 c^10 u^5 v w^3 x^4 y z +
 a^12 u^4 v^2 w^3 x^4 y z - 6 a^10 b^2 u^4 v^2 w^3 x^4 y z +
 15 a^8 b^4 u^4 v^2 w^3 x^4 y z - 20 a^6 b^6 u^4 v^2 w^3 x^4 y z +
 15 a^4 b^8 u^4 v^2 w^3 x^4 y z - 6 a^2 b^10 u^4 v^2 w^3 x^4 y z +
 b^12 u^4 v^2 w^3 x^4 y z - 6 a^10 c^2 u^4 v^2 w^3 x^4 y z +
 32 a^8 b^2 c^2 u^4 v^2 w^3 x^4 y z -
 50 a^6 b^4 c^2 u^4 v^2 w^3 x^4 y z +
 18 a^4 b^6 c^2 u^4 v^2 w^3 x^4 y z +
 16 a^2 b^8 c^2 u^4 v^2 w^3 x^4 y z -
 10 b^10 c^2 u^4 v^2 w^3 x^4 y z + 15 a^8 c^4 u^4 v^2 w^3 x^4 y z -
 68 a^6 b^2 c^4 u^4 v^2 w^3 x^4 y z +
 76 a^4 b^4 c^4 u^4 v^2 w^3 x^4 y z -
 23 b^8 c^4 u^4 v^2 w^3 x^4 y z - 20 a^6 c^6 u^4 v^2 w^3 x^4 y z +
 72 a^4 b^2 c^6 u^4 v^2 w^3 x^4 y z -
 62 a^2 b^4 c^6 u^4 v^2 w^3 x^4 y z + 2 b^6 c^6 u^4 v^2 w^3 x^4 y z +
 15 a^4 c^8 u^4 v^2 w^3 x^4 y z -
 38 a^2 b^2 c^8 u^4 v^2 w^3 x^4 y z +
 21 b^4 c^8 u^4 v^2 w^3 x^4 y z - 6 a^2 c^10 u^4 v^2 w^3 x^4 y z +
 8 b^2 c^10 u^4 v^2 w^3 x^4 y z + c^12 u^4 v^2 w^3 x^4 y z +
 4 a^6 b^4 c^2 u^3 v^3 w^3 x^4 y z -
 12 a^4 b^6 c^2 u^3 v^3 w^3 x^4 y z +
 12 a^2 b^8 c^2 u^3 v^3 w^3 x^4 y z -
 4 b^10 c^2 u^3 v^3 w^3 x^4 y z - 4 a^6 b^2 c^4 u^3 v^3 w^3 x^4 y z -
 4 a^2 b^6 c^4 u^3 v^3 w^3 x^4 y z + 8 b^8 c^4 u^3 v^3 w^3 x^4 y z +
 12 a^4 b^2 c^6 u^3 v^3 w^3 x^4 y z +
 4 a^2 b^4 c^6 u^3 v^3 w^3 x^4 y z -
 12 a^2 b^2 c^8 u^3 v^3 w^3 x^4 y z - 8 b^4 c^8 u^3 v^3 w^3 x^4 y z +
 4 b^2 c^10 u^3 v^3 w^3 x^4 y z - 3 a^12 u^2 v^4 w^3 x^4 y z +
 14 a^10 b^2 u^2 v^4 w^3 x^4 y z - 25 a^8 b^4 u^2 v^4 w^3 x^4 y z +
 20 a^6 b^6 u^2 v^4 w^3 x^4 y z - 5 a^4 b^8 u^2 v^4 w^3 x^4 y z -
 2 a^2 b^10 u^2 v^4 w^3 x^4 y z + b^12 u^2 v^4 w^3 x^4 y z +
 7 a^10 c^2 u^2 v^4 w^3 x^4 y z -
 41 a^8 b^2 c^2 u^2 v^4 w^3 x^4 y z +
 74 a^6 b^4 c^2 u^2 v^4 w^3 x^4 y z -
 46 a^4 b^6 c^2 u^2 v^4 w^3 x^4 y z -
 a^2 b^8 c^2 u^2 v^4 w^3 x^4 y z + 7 b^10 c^2 u^2 v^4 w^3 x^4 y z +
 4 a^6 b^2 c^4 u^2 v^4 w^3 x^4 y z -
 40 a^4 b^4 c^4 u^2 v^4 w^3 x^4 y z +
 52 a^2 b^6 c^4 u^2 v^4 w^3 x^4 y z -
 16 b^8 c^4 u^2 v^4 w^3 x^4 y z - 10 a^6 c^6 u^2 v^4 w^3 x^4 y z +
 54 a^4 b^2 c^6 u^2 v^4 w^3 x^4 y z -
 26 a^2 b^4 c^6 u^2 v^4 w^3 x^4 y z - 2 b^6 c^6 u^2 v^4 w^3 x^4 y z +
 5 a^4 c^8 u^2 v^4 w^3 x^4 y z - 26 a^2 b^2 c^8 u^2 v^4 w^3 x^4 y z +
 17 b^4 c^8 u^2 v^4 w^3 x^4 y z + 3 a^2 c^10 u^2 v^4 w^3 x^4 y z -
 5 b^2 c^10 u^2 v^4 w^3 x^4 y z - 2 c^12 u^2 v^4 w^3 x^4 y z -
 2 a^12 u v^5 w^3 x^4 y z + 9 a^10 b^2 u v^5 w^3 x^4 y z -
 15 a^8 b^4 u v^5 w^3 x^4 y z + 10 a^6 b^6 u v^5 w^3 x^4 y z -
 3 a^2 b^10 u v^5 w^3 x^4 y z + b^12 u v^5 w^3 x^4 y z +
 3 a^10 c^2 u v^5 w^3 x^4 y z - 20 a^8 b^2 c^2 u v^5 w^3 x^4 y z +
 40 a^6 b^4 c^2 u v^5 w^3 x^4 y z -
 30 a^4 b^6 c^2 u v^5 w^3 x^4 y z + 5 a^2 b^8 c^2 u v^5 w^3 x^4 y z +
 2 b^10 c^2 u v^5 w^3 x^4 y z + 7 a^8 c^4 u v^5 w^3 x^4 y z -
 30 a^6 b^2 c^4 u v^5 w^3 x^4 y z +
 30 a^4 b^4 c^4 u v^5 w^3 x^4 y z +
 10 a^2 b^6 c^4 u v^5 w^3 x^4 y z - 17 b^8 c^4 u v^5 w^3 x^4 y z -
 20 a^6 c^6 u v^5 w^3 x^4 y z + 14 a^4 b^2 c^6 u v^5 w^3 x^4 y z -
 30 a^2 b^4 c^6 u v^5 w^3 x^4 y z + 28 b^6 c^6 u v^5 w^3 x^4 y z +
 18 a^4 c^8 u v^5 w^3 x^4 y z + 25 a^2 b^2 c^8 u v^5 w^3 x^4 y z -
 17 b^4 c^8 u v^5 w^3 x^4 y z - 7 a^2 c^10 u v^5 w^3 x^4 y z +
 2 b^2 c^10 u v^5 w^3 x^4 y z + c^12 u v^5 w^3 x^4 y z +
 2 a^10 c^2 v^6 w^3 x^4 y z - 6 a^8 b^2 c^2 v^6 w^3 x^4 y z +
 6 a^6 b^4 c^2 v^6 w^3 x^4 y z - 2 a^4 b^6 c^2 v^6 w^3 x^4 y z +
 2 a^8 c^4 v^6 w^3 x^4 y z + 4 a^6 b^2 c^4 v^6 w^3 x^4 y z -
 6 a^4 b^4 c^4 v^6 w^3 x^4 y z - 10 a^6 c^6 v^6 w^3 x^4 y z +
 2 a^4 b^2 c^6 v^6 w^3 x^4 y z + 6 a^4 c^8 v^6 w^3 x^4 y z -
 a^8 b^4 u^5 w^4 x^4 y z + 4 a^6 b^6 u^5 w^4 x^4 y z -
 6 a^4 b^8 u^5 w^4 x^4 y z + 4 a^2 b^10 u^5 w^4 x^4 y z -
 b^12 u^5 w^4 x^4 y z + 4 a^6 b^4 c^2 u^5 w^4 x^4 y z -
 12 a^4 b^6 c^2 u^5 w^4 x^4 y z + 12 a^2 b^8 c^2 u^5 w^4 x^4 y z -
 4 b^10 c^2 u^5 w^4 x^4 y z - 6 a^4 b^4 c^4 u^5 w^4 x^4 y z +
 12 a^2 b^6 c^4 u^5 w^4 x^4 y z - 6 b^8 c^4 u^5 w^4 x^4 y z +
 4 a^2 b^4 c^6 u^5 w^4 x^4 y z - 4 b^6 c^6 u^5 w^4 x^4 y z -
 b^4 c^8 u^5 w^4 x^4 y z - 5 a^10 b^2 u^4 v w^4 x^4 y z +
 18 a^8 b^4 u^4 v w^4 x^4 y z - 22 a^6 b^6 u^4 v w^4 x^4 y z +
 8 a^4 b^8 u^4 v w^4 x^4 y z + 3 a^2 b^10 u^4 v w^4 x^4 y z -
 2 b^12 u^4 v w^4 x^4 y z + 25 a^8 b^2 c^2 u^4 v w^4 x^4 y z -
 58 a^6 b^4 c^2 u^4 v w^4 x^4 y z +
 48 a^4 b^6 c^2 u^4 v w^4 x^4 y z -
 22 a^2 b^8 c^2 u^4 v w^4 x^4 y z + 7 b^10 c^2 u^4 v w^4 x^4 y z -
 50 a^6 b^2 c^4 u^4 v w^4 x^4 y z +
 66 a^4 b^4 c^4 u^4 v w^4 x^4 y z - 6 a^2 b^6 c^4 u^4 v w^4 x^4 y z +
 6 b^8 c^4 u^4 v w^4 x^4 y z + 50 a^4 b^2 c^6 u^4 v w^4 x^4 y z -
 30 a^2 b^4 c^6 u^4 v w^4 x^4 y z - 20 b^6 c^6 u^4 v w^4 x^4 y z -
 25 a^2 b^2 c^8 u^4 v w^4 x^4 y z + 4 b^4 c^8 u^4 v w^4 x^4 y z +
 5 b^2 c^10 u^4 v w^4 x^4 y z + 2 a^12 u^3 v^2 w^4 x^4 y z -
 13 a^10 b^2 u^3 v^2 w^4 x^4 y z + 32 a^8 b^4 u^3 v^2 w^4 x^4 y z -
 38 a^6 b^6 u^3 v^2 w^4 x^4 y z + 22 a^4 b^8 u^3 v^2 w^4 x^4 y z -
 5 a^2 b^10 u^3 v^2 w^4 x^4 y z - 12 a^10 c^2 u^3 v^2 w^4 x^4 y z +
 61 a^8 b^2 c^2 u^3 v^2 w^4 x^4 y z -
 68 a^6 b^4 c^2 u^3 v^2 w^4 x^4 y z +
 22 a^4 b^6 c^2 u^3 v^2 w^4 x^4 y z -
 24 a^2 b^8 c^2 u^3 v^2 w^4 x^4 y z +
 21 b^10 c^2 u^3 v^2 w^4 x^4 y z + 30 a^8 c^4 u^3 v^2 w^4 x^4 y z -
 114 a^6 b^2 c^4 u^3 v^2 w^4 x^4 y z +
 56 a^4 b^4 c^4 u^3 v^2 w^4 x^4 y z +
 62 a^2 b^6 c^4 u^3 v^2 w^4 x^4 y z - 2 b^8 c^4 u^3 v^2 w^4 x^4 y z -
 40 a^6 c^6 u^3 v^2 w^4 x^4 y z +
 106 a^4 b^2 c^6 u^3 v^2 w^4 x^4 y z -
 36 a^2 b^4 c^6 u^3 v^2 w^4 x^4 y z -
 46 b^6 c^6 u^3 v^2 w^4 x^4 y z + 30 a^4 c^8 u^3 v^2 w^4 x^4 y z -
 49 a^2 b^2 c^8 u^3 v^2 w^4 x^4 y z +
 16 b^4 c^8 u^3 v^2 w^4 x^4 y z - 12 a^2 c^10 u^3 v^2 w^4 x^4 y z +
 9 b^2 c^10 u^3 v^2 w^4 x^4 y z + 2 c^12 u^3 v^2 w^4 x^4 y z +
 3 a^12 u^2 v^3 w^4 x^4 y z - 7 a^10 b^2 u^2 v^3 w^4 x^4 y z +
 10 a^6 b^6 u^2 v^3 w^4 x^4 y z - 5 a^4 b^8 u^2 v^3 w^4 x^4 y z -
 3 a^2 b^10 u^2 v^3 w^4 x^4 y z + 2 b^12 u^2 v^3 w^4 x^4 y z -
 14 a^10 c^2 u^2 v^3 w^4 x^4 y z +
 41 a^8 b^2 c^2 u^2 v^3 w^4 x^4 y z -
 4 a^6 b^4 c^2 u^2 v^3 w^4 x^4 y z -
 54 a^4 b^6 c^2 u^2 v^3 w^4 x^4 y z +
 26 a^2 b^8 c^2 u^2 v^3 w^4 x^4 y z +
 5 b^10 c^2 u^2 v^3 w^4 x^4 y z + 25 a^8 c^4 u^2 v^3 w^4 x^4 y z -
 74 a^6 b^2 c^4 u^2 v^3 w^4 x^4 y z +
 40 a^4 b^4 c^4 u^2 v^3 w^4 x^4 y z +
 26 a^2 b^6 c^4 u^2 v^3 w^4 x^4 y z -
 17 b^8 c^4 u^2 v^3 w^4 x^4 y z - 20 a^6 c^6 u^2 v^3 w^4 x^4 y z +
 46 a^4 b^2 c^6 u^2 v^3 w^4 x^4 y z -
 52 a^2 b^4 c^6 u^2 v^3 w^4 x^4 y z + 2 b^6 c^6 u^2 v^3 w^4 x^4 y z +
 5 a^4 c^8 u^2 v^3 w^4 x^4 y z + a^2 b^2 c^8 u^2 v^3 w^4 x^4 y z +
 16 b^4 c^8 u^2 v^3 w^4 x^4 y z + 2 a^2 c^10 u^2 v^3 w^4 x^4 y z -
 7 b^2 c^10 u^2 v^3 w^4 x^4 y z - c^12 u^2 v^3 w^4 x^4 y z +
 5 a^10 b^2 u v^4 w^4 x^4 y z - 19 a^8 b^4 u v^4 w^4 x^4 y z +
 26 a^6 b^6 u v^4 w^4 x^4 y z - 14 a^4 b^8 u v^4 w^4 x^4 y z +
 a^2 b^10 u v^4 w^4 x^4 y z + b^12 u v^4 w^4 x^4 y z -
 5 a^10 c^2 u v^4 w^4 x^4 y z + 18 a^6 b^4 c^2 u v^4 w^4 x^4 y z -
 20 a^4 b^6 c^2 u v^4 w^4 x^4 y z +
 11 a^2 b^8 c^2 u v^4 w^4 x^4 y z - 4 b^10 c^2 u v^4 w^4 x^4 y z +
 19 a^8 c^4 u v^4 w^4 x^4 y z - 18 a^6 b^2 c^4 u v^4 w^4 x^4 y z -
 38 a^2 b^6 c^4 u v^4 w^4 x^4 y z + 5 b^8 c^4 u v^4 w^4 x^4 y z -
 26 a^6 c^6 u v^4 w^4 x^4 y z + 20 a^4 b^2 c^6 u v^4 w^4 x^4 y z +
 38 a^2 b^4 c^6 u v^4 w^4 x^4 y z + 14 a^4 c^8 u v^4 w^4 x^4 y z -
 11 a^2 b^2 c^8 u v^4 w^4 x^4 y z - 5 b^4 c^8 u v^4 w^4 x^4 y z -
 a^2 c^10 u v^4 w^4 x^4 y z + 4 b^2 c^10 u v^4 w^4 x^4 y z -
 c^12 u v^4 w^4 x^4 y z - a^12 v^5 w^4 x^4 y z +
 4 a^10 b^2 v^5 w^4 x^4 y z - 6 a^8 b^4 v^5 w^4 x^4 y z +
 4 a^6 b^6 v^5 w^4 x^4 y z - a^4 b^8 v^5 w^4 x^4 y z -
 2 a^10 c^2 v^5 w^4 x^4 y z - 10 a^8 b^2 c^2 v^5 w^4 x^4 y z +
 26 a^6 b^4 c^2 v^5 w^4 x^4 y z - 14 a^4 b^6 c^2 v^5 w^4 x^4 y z +
 12 a^8 c^4 v^5 w^4 x^4 y z - 16 a^6 b^2 c^4 v^5 w^4 x^4 y z -
 12 a^4 b^4 c^4 v^5 w^4 x^4 y z - 14 a^6 c^6 v^5 w^4 x^4 y z +
 22 a^4 b^2 c^6 v^5 w^4 x^4 y z + 5 a^4 c^8 v^5 w^4 x^4 y z -
 2 a^8 b^4 u^4 w^5 x^4 y z + 4 a^6 b^6 u^4 w^5 x^4 y z -
 4 a^2 b^10 u^4 w^5 x^4 y z + 2 b^12 u^4 w^5 x^4 y z +
 8 a^6 b^4 c^2 u^4 w^5 x^4 y z - 12 a^4 b^6 c^2 u^4 w^5 x^4 y z +
 4 b^10 c^2 u^4 w^5 x^4 y z - 12 a^4 b^4 c^4 u^4 w^5 x^4 y z +
 12 a^2 b^6 c^4 u^4 w^5 x^4 y z + 8 a^2 b^4 c^6 u^4 w^5 x^4 y z -
 4 b^6 c^6 u^4 w^5 x^4 y z - 2 b^4 c^8 u^4 w^5 x^4 y z -
 7 a^10 b^2 u^3 v w^5 x^4 y z + 13 a^8 b^4 u^3 v w^5 x^4 y z -
 8 a^4 b^8 u^3 v w^5 x^4 y z - a^2 b^10 u^3 v w^5 x^4 y z +
 3 b^12 u^3 v w^5 x^4 y z + 35 a^8 b^2 c^2 u^3 v w^5 x^4 y z -
 42 a^6 b^4 c^2 u^3 v w^5 x^4 y z + 2 a^4 b^6 c^2 u^3 v w^5 x^4 y z +
 6 a^2 b^8 c^2 u^3 v w^5 x^4 y z - b^10 c^2 u^3 v w^5 x^4 y z -
 70 a^6 b^2 c^4 u^3 v w^5 x^4 y z +
 48 a^4 b^4 c^4 u^3 v w^5 x^4 y z +
 20 a^2 b^6 c^4 u^3 v w^5 x^4 y z + 10 b^8 c^4 u^3 v w^5 x^4 y z +
 70 a^4 b^2 c^6 u^3 v w^5 x^4 y z -
 22 a^2 b^4 c^6 u^3 v w^5 x^4 y z - 22 b^6 c^6 u^3 v w^5 x^4 y z -
 35 a^2 b^2 c^8 u^3 v w^5 x^4 y z + 3 b^4 c^8 u^3 v w^5 x^4 y z +
 7 b^2 c^10 u^3 v w^5 x^4 y z + a^12 u^2 v^2 w^5 x^4 y z -
 12 a^10 b^2 u^2 v^2 w^5 x^4 y z + 20 a^8 b^4 u^2 v^2 w^5 x^4 y z +
 2 a^6 b^6 u^2 v^2 w^5 x^4 y z - 21 a^4 b^8 u^2 v^2 w^5 x^4 y z +
 10 a^2 b^10 u^2 v^2 w^5 x^4 y z - 6 a^10 c^2 u^2 v^2 w^5 x^4 y z +
 46 a^8 b^2 c^2 u^2 v^2 w^5 x^4 y z -
 30 a^6 b^4 c^2 u^2 v^2 w^5 x^4 y z +
 8 a^4 b^6 c^2 u^2 v^2 w^5 x^4 y z -
 8 a^2 b^8 c^2 u^2 v^2 w^5 x^4 y z -
 10 b^10 c^2 u^2 v^2 w^5 x^4 y z + 15 a^8 c^4 u^2 v^2 w^5 x^4 y z -
 64 a^6 b^2 c^4 u^2 v^2 w^5 x^4 y z +
 10 a^4 b^4 c^4 u^2 v^2 w^5 x^4 y z +
 18 a^2 b^6 c^4 u^2 v^2 w^5 x^4 y z +
 29 b^8 c^4 u^2 v^2 w^5 x^4 y z - 20 a^6 c^6 u^2 v^2 w^5 x^4 y z +
 36 a^4 b^2 c^6 u^2 v^2 w^5 x^4 y z -
 10 a^2 b^4 c^6 u^2 v^2 w^5 x^4 y z -
 28 b^6 c^6 u^2 v^2 w^5 x^4 y z + 15 a^4 c^8 u^2 v^2 w^5 x^4 y z -
 4 a^2 b^2 c^8 u^2 v^2 w^5 x^4 y z + 10 b^4 c^8 u^2 v^2 w^5 x^4 y z -
 6 a^2 c^10 u^2 v^2 w^5 x^4 y z - 2 b^2 c^10 u^2 v^2 w^5 x^4 y z +
 c^12 u^2 v^2 w^5 x^4 y z + 2 a^12 u v^3 w^5 x^4 y z -
 3 a^10 b^2 u v^3 w^5 x^4 y z - 7 a^8 b^4 u v^3 w^5 x^4 y z +
 20 a^6 b^6 u v^3 w^5 x^4 y z - 18 a^4 b^8 u v^3 w^5 x^4 y z +
 7 a^2 b^10 u v^3 w^5 x^4 y z - b^12 u v^3 w^5 x^4 y z -
 9 a^10 c^2 u v^3 w^5 x^4 y z + 20 a^8 b^2 c^2 u v^3 w^5 x^4 y z +
 30 a^6 b^4 c^2 u v^3 w^5 x^4 y z -
 14 a^4 b^6 c^2 u v^3 w^5 x^4 y z -
 25 a^2 b^8 c^2 u v^3 w^5 x^4 y z - 2 b^10 c^2 u v^3 w^5 x^4 y z +
 15 a^8 c^4 u v^3 w^5 x^4 y z - 40 a^6 b^2 c^4 u v^3 w^5 x^4 y z -
 30 a^4 b^4 c^4 u v^3 w^5 x^4 y z +
 30 a^2 b^6 c^4 u v^3 w^5 x^4 y z + 17 b^8 c^4 u v^3 w^5 x^4 y z -
 10 a^6 c^6 u v^3 w^5 x^4 y z + 30 a^4 b^2 c^6 u v^3 w^5 x^4 y z -
 10 a^2 b^4 c^6 u v^3 w^5 x^4 y z - 28 b^6 c^6 u v^3 w^5 x^4 y z -
 5 a^2 b^2 c^8 u v^3 w^5 x^4 y z + 17 b^4 c^8 u v^3 w^5 x^4 y z +
 3 a^2 c^10 u v^3 w^5 x^4 y z - 2 b^2 c^10 u v^3 w^5 x^4 y z -
 c^12 u v^3 w^5 x^4 y z + a^12 v^4 w^5 x^4 y z +
 2 a^10 b^2 v^4 w^5 x^4 y z - 12 a^8 b^4 v^4 w^5 x^4 y z +
 14 a^6 b^6 v^4 w^5 x^4 y z - 5 a^4 b^8 v^4 w^5 x^4 y z -
 4 a^10 c^2 v^4 w^5 x^4 y z + 10 a^8 b^2 c^2 v^4 w^5 x^4 y z +
 16 a^6 b^4 c^2 v^4 w^5 x^4 y z - 22 a^4 b^6 c^2 v^4 w^5 x^4 y z +
 6 a^8 c^4 v^4 w^5 x^4 y z - 26 a^6 b^2 c^4 v^4 w^5 x^4 y z +
 12 a^4 b^4 c^4 v^4 w^5 x^4 y z - 4 a^6 c^6 v^4 w^5 x^4 y z +
 14 a^4 b^2 c^6 v^4 w^5 x^4 y z + a^4 c^8 v^4 w^5 x^4 y z -
 a^8 b^4 u^3 w^6 x^4 y z + 2 a^4 b^8 u^3 w^6 x^4 y z -
 b^12 u^3 w^6 x^4 y z + 4 a^6 b^4 c^2 u^3 w^6 x^4 y z -
 4 a^2 b^8 c^2 u^3 w^6 x^4 y z - 6 a^4 b^4 c^4 u^3 w^6 x^4 y z +
 2 b^8 c^4 u^3 w^6 x^4 y z + 4 a^2 b^4 c^6 u^3 w^6 x^4 y z -
 b^4 c^8 u^3 w^6 x^4 y z - 3 a^10 b^2 u^2 v w^6 x^4 y z +
 4 a^6 b^6 u^2 v w^6 x^4 y z + 2 a^4 b^8 u^2 v w^6 x^4 y z -
 a^2 b^10 u^2 v w^6 x^4 y z - 2 b^12 u^2 v w^6 x^4 y z +
 15 a^8 b^2 c^2 u^2 v w^6 x^4 y z + 2 a^6 b^4 c^2 u^2 v w^6 x^4 y z -
 10 a^4 b^6 c^2 u^2 v w^6 x^4 y z - 6 a^2 b^8 c^2 u^2 v w^6 x^4 y z -
 b^10 c^2 u^2 v w^6 x^4 y z - 30 a^6 b^2 c^4 u^2 v w^6 x^4 y z -
 6 a^4 b^4 c^4 u^2 v w^6 x^4 y z + 16 a^2 b^6 c^4 u^2 v w^6 x^4 y z +
 12 b^8 c^4 u^2 v w^6 x^4 y z + 30 a^4 b^2 c^6 u^2 v w^6 x^4 y z +
 6 a^2 b^4 c^6 u^2 v w^6 x^4 y z - 10 b^6 c^6 u^2 v w^6 x^4 y z -
 15 a^2 b^2 c^8 u^2 v w^6 x^4 y z - 2 b^4 c^8 u^2 v w^6 x^4 y z +
 3 b^2 c^10 u^2 v w^6 x^4 y z - 5 a^10 b^2 u v^2 w^6 x^4 y z -
 a^8 b^4 u v^2 w^6 x^4 y z + 14 a^6 b^6 u v^2 w^6 x^4 y z -
 6 a^4 b^8 u v^2 w^6 x^4 y z - a^2 b^10 u v^2 w^6 x^4 y z -
 b^12 u v^2 w^6 x^4 y z + 17 a^8 b^2 c^2 u v^2 w^6 x^4 y z +
 4 a^6 b^4 c^2 u v^2 w^6 x^4 y z - 18 a^4 b^6 c^2 u v^2 w^6 x^4 y z -
 4 a^2 b^8 c^2 u v^2 w^6 x^4 y z + b^10 c^2 u v^2 w^6 x^4 y z -
 18 a^6 b^2 c^4 u v^2 w^6 x^4 y z + 6 a^4 b^4 c^4 u v^2 w^6 x^4 y z +
 18 a^2 b^6 c^4 u v^2 w^6 x^4 y z + 6 b^8 c^4 u v^2 w^6 x^4 y z +
 2 a^4 b^2 c^6 u v^2 w^6 x^4 y z - 20 a^2 b^4 c^6 u v^2 w^6 x^4 y z -
 14 b^6 c^6 u v^2 w^6 x^4 y z + 7 a^2 b^2 c^8 u v^2 w^6 x^4 y z +
 11 b^4 c^8 u v^2 w^6 x^4 y z - 3 b^2 c^10 u v^2 w^6 x^4 y z -
 2 a^10 b^2 v^3 w^6 x^4 y z - 2 a^8 b^4 v^3 w^6 x^4 y z +
 10 a^6 b^6 v^3 w^6 x^4 y z - 6 a^4 b^8 v^3 w^6 x^4 y z +
 6 a^8 b^2 c^2 v^3 w^6 x^4 y z - 4 a^6 b^4 c^2 v^3 w^6 x^4 y z -
 2 a^4 b^6 c^2 v^3 w^6 x^4 y z - 6 a^6 b^2 c^4 v^3 w^6 x^4 y z +
 6 a^4 b^4 c^4 v^3 w^6 x^4 y z + 2 a^4 b^2 c^6 v^3 w^6 x^4 y z -
 a^8 c^4 u^6 v^3 x^3 y^2 z + 4 a^6 b^2 c^4 u^6 v^3 x^3 y^2 z -
 6 a^4 b^4 c^4 u^6 v^3 x^3 y^2 z + 4 a^2 b^6 c^4 u^6 v^3 x^3 y^2 z -
 b^8 c^4 u^6 v^3 x^3 y^2 z + 4 a^6 c^6 u^6 v^3 x^3 y^2 z -
 12 a^4 b^2 c^6 u^6 v^3 x^3 y^2 z +
 12 a^2 b^4 c^6 u^6 v^3 x^3 y^2 z - 4 b^6 c^6 u^6 v^3 x^3 y^2 z -
 6 a^4 c^8 u^6 v^3 x^3 y^2 z + 12 a^2 b^2 c^8 u^6 v^3 x^3 y^2 z -
 6 b^4 c^8 u^6 v^3 x^3 y^2 z + 4 a^2 c^10 u^6 v^3 x^3 y^2 z -
 4 b^2 c^10 u^6 v^3 x^3 y^2 z - c^12 u^6 v^3 x^3 y^2 z +
 3 a^8 c^4 u^4 v^5 x^3 y^2 z - 12 a^6 b^2 c^4 u^4 v^5 x^3 y^2 z +
 18 a^4 b^4 c^4 u^4 v^5 x^3 y^2 z -
 12 a^2 b^6 c^4 u^4 v^5 x^3 y^2 z + 3 b^8 c^4 u^4 v^5 x^3 y^2 z -
 6 a^4 c^8 u^4 v^5 x^3 y^2 z + 12 a^2 b^2 c^8 u^4 v^5 x^3 y^2 z -
 6 b^4 c^8 u^4 v^5 x^3 y^2 z + 3 c^12 u^4 v^5 x^3 y^2 z +
 2 a^8 c^4 u^3 v^6 x^3 y^2 z - 8 a^6 b^2 c^4 u^3 v^6 x^3 y^2 z +
 12 a^4 b^4 c^4 u^3 v^6 x^3 y^2 z - 8 a^2 b^6 c^4 u^3 v^6 x^3 y^2 z +
 2 b^8 c^4 u^3 v^6 x^3 y^2 z + 4 a^6 c^6 u^3 v^6 x^3 y^2 z -
 12 a^4 b^2 c^6 u^3 v^6 x^3 y^2 z +
 12 a^2 b^4 c^6 u^3 v^6 x^3 y^2 z - 4 b^6 c^6 u^3 v^6 x^3 y^2 z -
 4 a^2 c^10 u^3 v^6 x^3 y^2 z + 4 b^2 c^10 u^3 v^6 x^3 y^2 z -
 2 c^12 u^3 v^6 x^3 y^2 z - a^10 c^2 u^6 v^2 w x^3 y^2 z +
 5 a^8 b^2 c^2 u^6 v^2 w x^3 y^2 z -
 10 a^6 b^4 c^2 u^6 v^2 w x^3 y^2 z +
 10 a^4 b^6 c^2 u^6 v^2 w x^3 y^2 z -
 5 a^2 b^8 c^2 u^6 v^2 w x^3 y^2 z + b^10 c^2 u^6 v^2 w x^3 y^2 z +
 5 a^8 c^4 u^6 v^2 w x^3 y^2 z - 14 a^6 b^2 c^4 u^6 v^2 w x^3 y^2 z +
 12 a^4 b^4 c^4 u^6 v^2 w x^3 y^2 z -
 2 a^2 b^6 c^4 u^6 v^2 w x^3 y^2 z - b^8 c^4 u^6 v^2 w x^3 y^2 z -
 10 a^6 c^6 u^6 v^2 w x^3 y^2 z +
 12 a^4 b^2 c^6 u^6 v^2 w x^3 y^2 z -
 2 a^2 b^4 c^6 u^6 v^2 w x^3 y^2 z + 10 a^4 c^8 u^6 v^2 w x^3 y^2 z -
 2 a^2 b^2 c^8 u^6 v^2 w x^3 y^2 z - 5 a^2 c^10 u^6 v^2 w x^3 y^2 z -
 b^2 c^10 u^6 v^2 w x^3 y^2 z + c^12 u^6 v^2 w x^3 y^2 z -
 7 a^10 c^2 u^5 v^3 w x^3 y^2 z +
 35 a^8 b^2 c^2 u^5 v^3 w x^3 y^2 z -
 70 a^6 b^4 c^2 u^5 v^3 w x^3 y^2 z +
 70 a^4 b^6 c^2 u^5 v^3 w x^3 y^2 z -
 35 a^2 b^8 c^2 u^5 v^3 w x^3 y^2 z +
 7 b^10 c^2 u^5 v^3 w x^3 y^2 z + 19 a^8 c^4 u^5 v^3 w x^3 y^2 z -
 66 a^6 b^2 c^4 u^5 v^3 w x^3 y^2 z +
 84 a^4 b^4 c^4 u^5 v^3 w x^3 y^2 z -
 46 a^2 b^6 c^4 u^5 v^3 w x^3 y^2 z + 9 b^8 c^4 u^5 v^3 w x^3 y^2 z -
 6 a^6 c^6 u^5 v^3 w x^3 y^2 z - 22 a^2 b^4 c^6 u^5 v^3 w x^3 y^2 z +
 28 b^6 c^6 u^5 v^3 w x^3 y^2 z - 26 a^4 c^8 u^5 v^3 w x^3 y^2 z +
 58 a^2 b^2 c^8 u^5 v^3 w x^3 y^2 z - 8 b^4 c^8 u^5 v^3 w x^3 y^2 z +
 29 a^2 c^10 u^5 v^3 w x^3 y^2 z - 27 b^2 c^10 u^5 v^3 w x^3 y^2 z -
 9 c^12 u^5 v^3 w x^3 y^2 z - 9 a^10 c^2 u^4 v^4 w x^3 y^2 z +
 45 a^8 b^2 c^2 u^4 v^4 w x^3 y^2 z -
 90 a^6 b^4 c^2 u^4 v^4 w x^3 y^2 z +
 90 a^4 b^6 c^2 u^4 v^4 w x^3 y^2 z -
 45 a^2 b^8 c^2 u^4 v^4 w x^3 y^2 z +
 9 b^10 c^2 u^4 v^4 w x^3 y^2 z + 4 a^8 c^4 u^4 v^4 w x^3 y^2 z -
 10 a^6 b^2 c^4 u^4 v^4 w x^3 y^2 z +
 6 a^4 b^4 c^4 u^4 v^4 w x^3 y^2 z +
 2 a^2 b^6 c^4 u^4 v^4 w x^3 y^2 z - 2 b^8 c^4 u^4 v^4 w x^3 y^2 z +
 24 a^6 c^6 u^4 v^4 w x^3 y^2 z -
 102 a^4 b^2 c^6 u^4 v^4 w x^3 y^2 z +
 60 a^2 b^4 c^6 u^4 v^4 w x^3 y^2 z +
 18 b^6 c^6 u^4 v^4 w x^3 y^2 z - 6 a^4 c^8 u^4 v^4 w x^3 y^2 z +
 62 a^2 b^2 c^8 u^4 v^4 w x^3 y^2 z -
 48 b^4 c^8 u^4 v^4 w x^3 y^2 z - 31 a^2 c^10 u^4 v^4 w x^3 y^2 z +
 5 b^2 c^10 u^4 v^4 w x^3 y^2 z + 18 c^12 u^4 v^4 w x^3 y^2 z -
 a^10 c^2 u^3 v^5 w x^3 y^2 z + 5 a^8 b^2 c^2 u^3 v^5 w x^3 y^2 z -
 10 a^6 b^4 c^2 u^3 v^5 w x^3 y^2 z +
 10 a^4 b^6 c^2 u^3 v^5 w x^3 y^2 z -
 5 a^2 b^8 c^2 u^3 v^5 w x^3 y^2 z + b^10 c^2 u^3 v^5 w x^3 y^2 z -
 5 a^8 c^4 u^3 v^5 w x^3 y^2 z + 26 a^6 b^2 c^4 u^3 v^5 w x^3 y^2 z -
 48 a^4 b^4 c^4 u^3 v^5 w x^3 y^2 z +
 38 a^2 b^6 c^4 u^3 v^5 w x^3 y^2 z -
 11 b^8 c^4 u^3 v^5 w x^3 y^2 z - 4 a^6 c^6 u^3 v^5 w x^3 y^2 z -
 18 a^4 b^2 c^6 u^3 v^5 w x^3 y^2 z -
 8 a^2 b^4 c^6 u^3 v^5 w x^3 y^2 z + 30 b^6 c^6 u^3 v^5 w x^3 y^2 z +
 24 a^4 c^8 u^3 v^5 w x^3 y^2 z -
 14 a^2 b^2 c^8 u^3 v^5 w x^3 y^2 z -
 34 b^4 c^8 u^3 v^5 w x^3 y^2 z - 11 a^2 c^10 u^3 v^5 w x^3 y^2 z +
 17 b^2 c^10 u^3 v^5 w x^3 y^2 z - 3 c^12 u^3 v^5 w x^3 y^2 z +
 2 a^10 c^2 u^2 v^6 w x^3 y^2 z -
 10 a^8 b^2 c^2 u^2 v^6 w x^3 y^2 z +
 20 a^6 b^4 c^2 u^2 v^6 w x^3 y^2 z -
 20 a^4 b^6 c^2 u^2 v^6 w x^3 y^2 z +
 10 a^2 b^8 c^2 u^2 v^6 w x^3 y^2 z -
 2 b^10 c^2 u^2 v^6 w x^3 y^2 z + 5 a^8 c^4 u^2 v^6 w x^3 y^2 z -
 16 a^6 b^2 c^4 u^2 v^6 w x^3 y^2 z +
 18 a^4 b^4 c^4 u^2 v^6 w x^3 y^2 z -
 8 a^2 b^6 c^4 u^2 v^6 w x^3 y^2 z + b^8 c^4 u^2 v^6 w x^3 y^2 z -
 16 a^2 b^4 c^6 u^2 v^6 w x^3 y^2 z +
 16 b^6 c^6 u^2 v^6 w x^3 y^2 z + 2 a^4 c^8 u^2 v^6 w x^3 y^2 z +
 16 a^2 b^2 c^8 u^2 v^6 w x^3 y^2 z -
 34 b^4 c^8 u^2 v^6 w x^3 y^2 z - 2 a^2 c^10 u^2 v^6 w x^3 y^2 z +
 26 b^2 c^10 u^2 v^6 w x^3 y^2 z - 7 c^12 u^2 v^6 w x^3 y^2 z +
 2 a^8 b^2 c^2 u^6 v w^2 x^3 y^2 z -
 8 a^6 b^4 c^2 u^6 v w^2 x^3 y^2 z +
 12 a^4 b^6 c^2 u^6 v w^2 x^3 y^2 z -
 8 a^2 b^8 c^2 u^6 v w^2 x^3 y^2 z + 2 b^10 c^2 u^6 v w^2 x^3 y^2 z -
 8 a^6 b^2 c^4 u^6 v w^2 x^3 y^2 z +
 32 a^4 b^4 c^4 u^6 v w^2 x^3 y^2 z -
 40 a^2 b^6 c^4 u^6 v w^2 x^3 y^2 z +
 16 b^8 c^4 u^6 v w^2 x^3 y^2 z +
 12 a^4 b^2 c^6 u^6 v w^2 x^3 y^2 z -
 40 a^2 b^4 c^6 u^6 v w^2 x^3 y^2 z +
 12 b^6 c^6 u^6 v w^2 x^3 y^2 z - 8 a^2 b^2 c^8 u^6 v w^2 x^3 y^2 z +
 16 b^4 c^8 u^6 v w^2 x^3 y^2 z + 2 b^2 c^10 u^6 v w^2 x^3 y^2 z +
 a^12 u^5 v^2 w^2 x^3 y^2 z - 6 a^10 b^2 u^5 v^2 w^2 x^3 y^2 z +
 15 a^8 b^4 u^5 v^2 w^2 x^3 y^2 z -
 20 a^6 b^6 u^5 v^2 w^2 x^3 y^2 z +
 15 a^4 b^8 u^5 v^2 w^2 x^3 y^2 z - 6 a^2 b^10 u^5 v^2 w^2 x^3 y^2 z +
  b^12 u^5 v^2 w^2 x^3 y^2 z - a^10 c^2 u^5 v^2 w^2 x^3 y^2 z +
 21 a^8 b^2 c^2 u^5 v^2 w^2 x^3 y^2 z -
 74 a^6 b^4 c^2 u^5 v^2 w^2 x^3 y^2 z +
 106 a^4 b^6 c^2 u^5 v^2 w^2 x^3 y^2 z -
 69 a^2 b^8 c^2 u^5 v^2 w^2 x^3 y^2 z +
 17 b^10 c^2 u^5 v^2 w^2 x^3 y^2 z -
 10 a^8 c^4 u^5 v^2 w^2 x^3 y^2 z +
 12 a^6 b^2 c^4 u^5 v^2 w^2 x^3 y^2 z +
 52 a^4 b^4 c^4 u^5 v^2 w^2 x^3 y^2 z -
 100 a^2 b^6 c^4 u^5 v^2 w^2 x^3 y^2 z +
 46 b^8 c^4 u^5 v^2 w^2 x^3 y^2 z +
 30 a^6 c^6 u^5 v^2 w^2 x^3 y^2 z -
 102 a^4 b^2 c^6 u^5 v^2 w^2 x^3 y^2 z +
 26 a^2 b^4 c^6 u^5 v^2 w^2 x^3 y^2 z -
 2 b^6 c^6 u^5 v^2 w^2 x^3 y^2 z - 35 a^4 c^8 u^5 v^2 w^2 x^3 y^2 z +
 114 a^2 b^2 c^8 u^5 v^2 w^2 x^3 y^2 z -
 19 b^4 c^8 u^5 v^2 w^2 x^3 y^2 z +
 19 a^2 c^10 u^5 v^2 w^2 x^3 y^2 z -
 39 b^2 c^10 u^5 v^2 w^2 x^3 y^2 z - 4 c^12 u^5 v^2 w^2 x^3 y^2 z -
 a^10 c^2 u^4 v^3 w^2 x^3 y^2 z +
 17 a^8 b^2 c^2 u^4 v^3 w^2 x^3 y^2 z -
 58 a^6 b^4 c^2 u^4 v^3 w^2 x^3 y^2 z +
 82 a^4 b^6 c^2 u^4 v^3 w^2 x^3 y^2 z -
 53 a^2 b^8 c^2 u^4 v^3 w^2 x^3 y^2 z +
 13 b^10 c^2 u^4 v^3 w^2 x^3 y^2 z +
 2 a^8 c^4 u^4 v^3 w^2 x^3 y^2 z +
 8 a^6 b^2 c^4 u^4 v^3 w^2 x^3 y^2 z -
 32 a^4 b^4 c^4 u^4 v^3 w^2 x^3 y^2 z +
 32 a^2 b^6 c^4 u^4 v^3 w^2 x^3 y^2 z -
 10 b^8 c^4 u^4 v^3 w^2 x^3 y^2 z + 2 a^6 c^6 u^4 v^3 w^2 x^3 y^2 z -
 62 a^4 b^2 c^6 u^4 v^3 w^2 x^3 y^2 z +
 46 a^2 b^4 c^6 u^4 v^3 w^2 x^3 y^2 z -
 18 b^6 c^6 u^4 v^3 w^2 x^3 y^2 z - 8 a^4 c^8 u^4 v^3 w^2 x^3 y^2 z +
 32 a^2 b^2 c^8 u^4 v^3 w^2 x^3 y^2 z +
 12 b^4 c^8 u^4 v^3 w^2 x^3 y^2 z +
 7 a^2 c^10 u^4 v^3 w^2 x^3 y^2 z +
 5 b^2 c^10 u^4 v^3 w^2 x^3 y^2 z - 2 c^12 u^4 v^3 w^2 x^3 y^2 z -
 3 a^12 u^3 v^4 w^2 x^3 y^2 z + 18 a^10 b^2 u^3 v^4 w^2 x^3 y^2 z -
 45 a^8 b^4 u^3 v^4 w^2 x^3 y^2 z +
 60 a^6 b^6 u^3 v^4 w^2 x^3 y^2 z -
 45 a^4 b^8 u^3 v^4 w^2 x^3 y^2 z +
 18 a^2 b^10 u^3 v^4 w^2 x^3 y^2 z - 3 b^12 u^3 v^4 w^2 x^3 y^2 z -
 8 a^10 c^2 u^3 v^4 w^2 x^3 y^2 z +
 30 a^8 b^2 c^2 u^3 v^4 w^2 x^3 y^2 z -
 40 a^6 b^4 c^2 u^3 v^4 w^2 x^3 y^2 z +
 20 a^4 b^6 c^2 u^3 v^4 w^2 x^3 y^2 z -
 2 b^10 c^2 u^3 v^4 w^2 x^3 y^2 z - 2 a^8 c^4 u^3 v^4 w^2 x^3 y^2 z -
 38 a^6 b^2 c^4 u^3 v^4 w^2 x^3 y^2 z +
 62 a^4 b^4 c^4 u^3 v^4 w^2 x^3 y^2 z -
 2 a^2 b^6 c^4 u^3 v^4 w^2 x^3 y^2 z -
 20 b^8 c^4 u^3 v^4 w^2 x^3 y^2 z +
 60 a^6 c^6 u^3 v^4 w^2 x^3 y^2 z -
 50 a^4 b^2 c^6 u^3 v^4 w^2 x^3 y^2 z -
 56 a^2 b^4 c^6 u^3 v^4 w^2 x^3 y^2 z +
 78 b^6 c^6 u^3 v^4 w^2 x^3 y^2 z -
 43 a^4 c^8 u^3 v^4 w^2 x^3 y^2 z +
 68 a^2 b^2 c^8 u^3 v^4 w^2 x^3 y^2 z -
 49 b^4 c^8 u^3 v^4 w^2 x^3 y^2 z -
 28 a^2 c^10 u^3 v^4 w^2 x^3 y^2 z -
 28 b^2 c^10 u^3 v^4 w^2 x^3 y^2 z + 24 c^12 u^3 v^4 w^2 x^3 y^2 z -
 2 a^12 u^2 v^5 w^2 x^3 y^2 z + 12 a^10 b^2 u^2 v^5 w^2 x^3 y^2 z -
 30 a^8 b^4 u^2 v^5 w^2 x^3 y^2 z +
 40 a^6 b^6 u^2 v^5 w^2 x^3 y^2 z -
 30 a^4 b^8 u^2 v^5 w^2 x^3 y^2 z +
 12 a^2 b^10 u^2 v^5 w^2 x^3 y^2 z - 2 b^12 u^2 v^5 w^2 x^3 y^2 z -
 5 a^10 c^2 u^2 v^5 w^2 x^3 y^2 z +
 23 a^8 b^2 c^2 u^2 v^5 w^2 x^3 y^2 z -
 42 a^6 b^4 c^2 u^2 v^5 w^2 x^3 y^2 z +
 38 a^4 b^6 c^2 u^2 v^5 w^2 x^3 y^2 z -
 17 a^2 b^8 c^2 u^2 v^5 w^2 x^3 y^2 z +
 3 b^10 c^2 u^2 v^5 w^2 x^3 y^2 z -
 31 a^8 c^4 u^2 v^5 w^2 x^3 y^2 z +
 32 a^6 b^2 c^4 u^2 v^5 w^2 x^3 y^2 z +
 22 a^4 b^4 c^4 u^2 v^5 w^2 x^3 y^2 z -
 16 a^2 b^6 c^4 u^2 v^5 w^2 x^3 y^2 z -
 7 b^8 c^4 u^2 v^5 w^2 x^3 y^2 z + 50 a^6 c^6 u^2 v^5 w^2 x^3 y^2 z -
 70 a^4 b^2 c^6 u^2 v^5 w^2 x^3 y^2 z +
 30 a^2 b^4 c^6 u^2 v^5 w^2 x^3 y^2 z +
 38 b^6 c^6 u^2 v^5 w^2 x^3 y^2 z + 8 a^4 c^8 u^2 v^5 w^2 x^3 y^2 z -
 4 a^2 b^2 c^8 u^2 v^5 w^2 x^3 y^2 z -
 72 b^4 c^8 u^2 v^5 w^2 x^3 y^2 z -
 5 a^2 c^10 u^2 v^5 w^2 x^3 y^2 z +
 55 b^2 c^10 u^2 v^5 w^2 x^3 y^2 z - 15 c^12 u^2 v^5 w^2 x^3 y^2 z +
 3 a^10 c^2 u v^6 w^2 x^3 y^2 z - 9 a^8 b^2 c^2 u v^6 w^2 x^3 y^2 z +
 6 a^6 b^4 c^2 u v^6 w^2 x^3 y^2 z +
 6 a^4 b^6 c^2 u v^6 w^2 x^3 y^2 z -
 9 a^2 b^8 c^2 u v^6 w^2 x^3 y^2 z + 3 b^10 c^2 u v^6 w^2 x^3 y^2 z -
 5 a^8 c^4 u v^6 w^2 x^3 y^2 z + 10 a^6 b^2 c^4 u v^6 w^2 x^3 y^2 z -
 20 a^4 b^4 c^4 u v^6 w^2 x^3 y^2 z +
 30 a^2 b^6 c^4 u v^6 w^2 x^3 y^2 z -
 15 b^8 c^4 u v^6 w^2 x^3 y^2 z + 8 a^6 c^6 u v^6 w^2 x^3 y^2 z +
 14 a^4 b^2 c^6 u v^6 w^2 x^3 y^2 z -
 36 a^2 b^4 c^6 u v^6 w^2 x^3 y^2 z +
 30 b^6 c^6 u v^6 w^2 x^3 y^2 z +
 18 a^2 b^2 c^8 u v^6 w^2 x^3 y^2 z -
 30 b^4 c^8 u v^6 w^2 x^3 y^2 z - 3 a^2 c^10 u v^6 w^2 x^3 y^2 z +
 15 b^2 c^10 u v^6 w^2 x^3 y^2 z - 3 c^12 u v^6 w^2 x^3 y^2 z -
 4 a^6 b^4 c^2 u^6 w^3 x^3 y^2 z + 12 a^4 b^6 c^2 u^6 w^3 x^3 y^2 z -
 12 a^2 b^8 c^2 u^6 w^3 x^3 y^2 z + 4 b^10 c^2 u^6 w^3 x^3 y^2 z +
 12 a^4 b^4 c^4 u^6 w^3 x^3 y^2 z -
 24 a^2 b^6 c^4 u^6 w^3 x^3 y^2 z + 12 b^8 c^4 u^6 w^3 x^3 y^2 z -
 12 a^2 b^4 c^6 u^6 w^3 x^3 y^2 z + 12 b^6 c^6 u^6 w^3 x^3 y^2 z +
 4 b^4 c^8 u^6 w^3 x^3 y^2 z - 2 a^12 u^5 v w^3 x^3 y^2 z +
 9 a^10 b^2 u^5 v w^3 x^3 y^2 z - 15 a^8 b^4 u^5 v w^3 x^3 y^2 z +
 10 a^6 b^6 u^5 v w^3 x^3 y^2 z - 3 a^2 b^10 u^5 v w^3 x^3 y^2 z +
 b^12 u^5 v w^3 x^3 y^2 z + 12 a^10 c^2 u^5 v w^3 x^3 y^2 z -
 41 a^8 b^2 c^2 u^5 v w^3 x^3 y^2 z +
 46 a^6 b^4 c^2 u^5 v w^3 x^3 y^2 z -
 12 a^4 b^6 c^2 u^5 v w^3 x^3 y^2 z -
 10 a^2 b^8 c^2 u^5 v w^3 x^3 y^2 z +
 5 b^10 c^2 u^5 v w^3 x^3 y^2 z - 30 a^8 c^4 u^5 v w^3 x^3 y^2 z +
 74 a^6 b^2 c^4 u^5 v w^3 x^3 y^2 z -
 44 a^4 b^4 c^4 u^5 v w^3 x^3 y^2 z -
 22 a^2 b^6 c^4 u^5 v w^3 x^3 y^2 z +
 22 b^8 c^4 u^5 v w^3 x^3 y^2 z + 40 a^6 c^6 u^5 v w^3 x^3 y^2 z -
 66 a^4 b^2 c^6 u^5 v w^3 x^3 y^2 z +
 10 a^2 b^4 c^6 u^5 v w^3 x^3 y^2 z -
 24 b^6 c^6 u^5 v w^3 x^3 y^2 z - 30 a^4 c^8 u^5 v w^3 x^3 y^2 z +
 29 a^2 b^2 c^8 u^5 v w^3 x^3 y^2 z + 3 b^4 c^8 u^5 v w^3 x^3 y^2 z +
 12 a^2 c^10 u^5 v w^3 x^3 y^2 z - 5 b^2 c^10 u^5 v w^3 x^3 y^2 z -
 2 c^12 u^5 v w^3 x^3 y^2 z + a^12 u^4 v^2 w^3 x^3 y^2 z -
 2 a^10 b^2 u^4 v^2 w^3 x^3 y^2 z - 5 a^8 b^4 u^4 v^2 w^3 x^3 y^2 z +
 20 a^6 b^6 u^4 v^2 w^3 x^3 y^2 z -
 25 a^4 b^8 u^4 v^2 w^3 x^3 y^2 z +
 14 a^2 b^10 u^4 v^2 w^3 x^3 y^2 z - 3 b^12 u^4 v^2 w^3 x^3 y^2 z +
 6 a^10 c^2 u^4 v^2 w^3 x^3 y^2 z +
 18 a^8 b^2 c^2 u^4 v^2 w^3 x^3 y^2 z -
 62 a^6 b^4 c^2 u^4 v^2 w^3 x^3 y^2 z +
 18 a^4 b^6 c^2 u^4 v^2 w^3 x^3 y^2 z +
 48 a^2 b^8 c^2 u^4 v^2 w^3 x^3 y^2 z -
 28 b^10 c^2 u^4 v^2 w^3 x^3 y^2 z -
 45 a^8 c^4 u^4 v^2 w^3 x^3 y^2 z -
 8 a^6 b^2 c^4 u^4 v^2 w^3 x^3 y^2 z +
 120 a^4 b^4 c^4 u^4 v^2 w^3 x^3 y^2 z -
 92 a^2 b^6 c^4 u^4 v^2 w^3 x^3 y^2 z +
 25 b^8 c^4 u^4 v^2 w^3 x^3 y^2 z +
 100 a^6 c^6 u^4 v^2 w^3 x^3 y^2 z -
 64 a^4 b^2 c^6 u^4 v^2 w^3 x^3 y^2 z -
 114 a^2 b^4 c^6 u^4 v^2 w^3 x^3 y^2 z -
 10 b^6 c^6 u^4 v^2 w^3 x^3 y^2 z -
 105 a^4 c^8 u^4 v^2 w^3 x^3 y^2 z +
 90 a^2 b^2 c^8 u^4 v^2 w^3 x^3 y^2 z +
 61 b^4 c^8 u^4 v^2 w^3 x^3 y^2 z +
 54 a^2 c^10 u^4 v^2 w^3 x^3 y^2 z -
 34 b^2 c^10 u^4 v^2 w^3 x^3 y^2 z - 11 c^12 u^4 v^2 w^3 x^3 y^2 z +
 6 a^12 u^3 v^3 w^3 x^3 y^2 z - 24 a^10 b^2 u^3 v^3 w^3 x^3 y^2 z +
 30 a^8 b^4 u^3 v^3 w^3 x^3 y^2 z -
 30 a^4 b^8 u^3 v^3 w^3 x^3 y^2 z +
 24 a^2 b^10 u^3 v^3 w^3 x^3 y^2 z - 6 b^12 u^3 v^3 w^3 x^3 y^2 z +
 7 a^10 c^2 u^3 v^3 w^3 x^3 y^2 z +
 51 a^8 b^2 c^2 u^3 v^3 w^3 x^3 y^2 z -
 166 a^6 b^4 c^2 u^3 v^3 w^3 x^3 y^2 z +
 122 a^4 b^6 c^2 u^3 v^3 w^3 x^3 y^2 z +
 15 a^2 b^8 c^2 u^3 v^3 w^3 x^3 y^2 z -
 29 b^10 c^2 u^3 v^3 w^3 x^3 y^2 z -
 73 a^8 c^4 u^3 v^3 w^3 x^3 y^2 z +
 44 a^6 b^2 c^4 u^3 v^3 w^3 x^3 y^2 z +
 102 a^4 b^4 c^4 u^3 v^3 w^3 x^3 y^2 z -
 156 a^2 b^6 c^4 u^3 v^3 w^3 x^3 y^2 z +
 83 b^8 c^4 u^3 v^3 w^3 x^3 y^2 z +
 102 a^6 c^6 u^3 v^3 w^3 x^3 y^2 z -
 150 a^4 b^2 c^6 u^3 v^3 w^3 x^3 y^2 z +
 62 a^2 b^4 c^6 u^3 v^3 w^3 x^3 y^2 z -
 30 b^6 c^6 u^3 v^3 w^3 x^3 y^2 z -
 28 a^4 c^8 u^3 v^3 w^3 x^3 y^2 z +
 84 a^2 b^2 c^8 u^3 v^3 w^3 x^3 y^2 z -
 28 b^4 c^8 u^3 v^3 w^3 x^3 y^2 z -
 29 a^2 c^10 u^3 v^3 w^3 x^3 y^2 z -
 5 b^2 c^10 u^3 v^3 w^3 x^3 y^2 z + 15 c^12 u^3 v^3 w^3 x^3 y^2 z +
 a^12 u^2 v^4 w^3 x^3 y^2 z - 6 a^10 b^2 u^2 v^4 w^3 x^3 y^2 z +
 15 a^8 b^4 u^2 v^4 w^3 x^3 y^2 z -
 20 a^6 b^6 u^2 v^4 w^3 x^3 y^2 z +
 15 a^4 b^8 u^2 v^4 w^3 x^3 y^2 z - 6 a^2 b^10 u^2 v^4 w^3 x^3 y^2 z +
  b^12 u^2 v^4 w^3 x^3 y^2 z + 5 a^10 c^2 u^2 v^4 w^3 x^3 y^2 z +
 3 a^8 b^2 c^2 u^2 v^4 w^3 x^3 y^2 z -
 30 a^6 b^4 c^2 u^2 v^4 w^3 x^3 y^2 z +
 22 a^4 b^6 c^2 u^2 v^4 w^3 x^3 y^2 z +
 9 a^2 b^8 c^2 u^2 v^4 w^3 x^3 y^2 z -
 9 b^10 c^2 u^2 v^4 w^3 x^3 y^2 z -
 42 a^8 c^4 u^2 v^4 w^3 x^3 y^2 z +
 48 a^6 b^2 c^4 u^2 v^4 w^3 x^3 y^2 z -
 20 a^4 b^4 c^4 u^2 v^4 w^3 x^3 y^2 z -
 16 a^2 b^6 c^4 u^2 v^4 w^3 x^3 y^2 z +
 30 b^8 c^4 u^2 v^4 w^3 x^3 y^2 z +
 82 a^6 c^6 u^2 v^4 w^3 x^3 y^2 z +
 10 a^4 b^2 c^6 u^2 v^4 w^3 x^3 y^2 z +
 38 a^2 b^4 c^6 u^2 v^4 w^3 x^3 y^2 z -
 50 b^6 c^6 u^2 v^4 w^3 x^3 y^2 z -
 59 a^4 c^8 u^2 v^4 w^3 x^3 y^2 z -
 34 a^2 b^2 c^8 u^2 v^4 w^3 x^3 y^2 z +
 45 b^4 c^8 u^2 v^4 w^3 x^3 y^2 z +
 9 a^2 c^10 u^2 v^4 w^3 x^3 y^2 z -
 21 b^2 c^10 u^2 v^4 w^3 x^3 y^2 z + 4 c^12 u^2 v^4 w^3 x^3 y^2 z -
 2 a^12 u v^5 w^3 x^3 y^2 z + 7 a^10 b^2 u v^5 w^3 x^3 y^2 z -
 5 a^8 b^4 u v^5 w^3 x^3 y^2 z - 10 a^6 b^6 u v^5 w^3 x^3 y^2 z +
 20 a^4 b^8 u v^5 w^3 x^3 y^2 z - 13 a^2 b^10 u v^5 w^3 x^3 y^2 z +
 3 b^12 u v^5 w^3 x^3 y^2 z - 10 a^10 c^2 u v^5 w^3 x^3 y^2 z +
 17 a^8 b^2 c^2 u v^5 w^3 x^3 y^2 z +
 18 a^6 b^4 c^2 u v^5 w^3 x^3 y^2 z -
 56 a^4 b^6 c^2 u v^5 w^3 x^3 y^2 z +
 40 a^2 b^8 c^2 u v^5 w^3 x^3 y^2 z -
 9 b^10 c^2 u v^5 w^3 x^3 y^2 z - 16 a^8 c^4 u v^5 w^3 x^3 y^2 z -
 10 a^6 b^2 c^4 u v^5 w^3 x^3 y^2 z +
 60 a^4 b^4 c^4 u v^5 w^3 x^3 y^2 z -
 34 a^2 b^6 c^4 u v^5 w^3 x^3 y^2 z +
 50 a^6 c^6 u v^5 w^3 x^3 y^2 z -
 16 a^4 b^2 c^6 u v^5 w^3 x^3 y^2 z -
 8 a^2 b^4 c^6 u v^5 w^3 x^3 y^2 z + 30 b^6 c^6 u v^5 w^3 x^3 y^2 z -
 8 a^4 c^8 u v^5 w^3 x^3 y^2 z + 23 a^2 b^2 c^8 u v^5 w^3 x^3 y^2 z -
 45 b^4 c^8 u v^5 w^3 x^3 y^2 z - 8 a^2 c^10 u v^5 w^3 x^3 y^2 z +
 27 b^2 c^10 u v^5 w^3 x^3 y^2 z - 6 c^12 u v^5 w^3 x^3 y^2 z -
 2 a^10 c^2 v^6 w^3 x^3 y^2 z + 6 a^8 b^2 c^2 v^6 w^3 x^3 y^2 z -
 6 a^6 b^4 c^2 v^6 w^3 x^3 y^2 z + 2 a^4 b^6 c^2 v^6 w^3 x^3 y^2 z +
 2 a^8 c^4 v^6 w^3 x^3 y^2 z + 4 a^6 b^2 c^4 v^6 w^3 x^3 y^2 z -
 6 a^4 b^4 c^4 v^6 w^3 x^3 y^2 z + 2 a^6 c^6 v^6 w^3 x^3 y^2 z +
 6 a^4 b^2 c^6 v^6 w^3 x^3 y^2 z - 2 a^4 c^8 v^6 w^3 x^3 y^2 z -
 3 a^8 b^4 u^5 w^4 x^3 y^2 z + 12 a^6 b^6 u^5 w^4 x^3 y^2 z -
 18 a^4 b^8 u^5 w^4 x^3 y^2 z + 12 a^2 b^10 u^5 w^4 x^3 y^2 z -
 3 b^12 u^5 w^4 x^3 y^2 z + 4 a^6 b^4 c^2 u^5 w^4 x^3 y^2 z -
 16 a^4 b^6 c^2 u^5 w^4 x^3 y^2 z +
 20 a^2 b^8 c^2 u^5 w^4 x^3 y^2 z - 8 b^10 c^2 u^5 w^4 x^3 y^2 z +
 6 a^4 b^4 c^4 u^5 w^4 x^3 y^2 z - 4 a^2 b^6 c^4 u^5 w^4 x^3 y^2 z -
 2 b^8 c^4 u^5 w^4 x^3 y^2 z - 12 a^2 b^4 c^6 u^5 w^4 x^3 y^2 z +
 8 b^6 c^6 u^5 w^4 x^3 y^2 z + 5 b^4 c^8 u^5 w^4 x^3 y^2 z -
 6 a^12 u^4 v w^4 x^3 y^2 z + 13 a^10 b^2 u^4 v w^4 x^3 y^2 z -
 a^8 b^4 u^4 v w^4 x^3 y^2 z - 6 a^6 b^6 u^4 v w^4 x^3 y^2 z -
 16 a^4 b^8 u^4 v w^4 x^3 y^2 z + 25 a^2 b^10 u^4 v w^4 x^3 y^2 z -
 9 b^12 u^4 v w^4 x^3 y^2 z + 36 a^10 c^2 u^4 v w^4 x^3 y^2 z -
 57 a^8 b^2 c^2 u^4 v w^4 x^3 y^2 z -
 20 a^6 b^4 c^2 u^4 v w^4 x^3 y^2 z +
 46 a^4 b^6 c^2 u^4 v w^4 x^3 y^2 z +
 16 a^2 b^8 c^2 u^4 v w^4 x^3 y^2 z -
 21 b^10 c^2 u^4 v w^4 x^3 y^2 z - 90 a^8 c^4 u^4 v w^4 x^3 y^2 z +
 98 a^6 b^2 c^4 u^4 v w^4 x^3 y^2 z +
 46 a^4 b^4 c^4 u^4 v w^4 x^3 y^2 z -
 82 a^2 b^6 c^4 u^4 v w^4 x^3 y^2 z +
 44 b^8 c^4 u^4 v w^4 x^3 y^2 z + 120 a^6 c^6 u^4 v w^4 x^3 y^2 z -
 82 a^4 b^2 c^6 u^4 v w^4 x^3 y^2 z -
 28 a^2 b^4 c^6 u^4 v w^4 x^3 y^2 z - 6 b^6 c^6 u^4 v w^4 x^3 y^2 z -
 90 a^4 c^8 u^4 v w^4 x^3 y^2 z +
 33 a^2 b^2 c^8 u^4 v w^4 x^3 y^2 z + 3 b^4 c^8 u^4 v w^4 x^3 y^2 z +
 36 a^2 c^10 u^4 v w^4 x^3 y^2 z - 5 b^2 c^10 u^4 v w^4 x^3 y^2 z -
 6 c^12 u^4 v w^4 x^3 y^2 z - 6 a^12 u^3 v^2 w^4 x^3 y^2 z +
 11 a^10 b^2 u^3 v^2 w^4 x^3 y^2 z +
 15 a^8 b^4 u^3 v^2 w^4 x^3 y^2 z -
 50 a^6 b^6 u^3 v^2 w^4 x^3 y^2 z +
 40 a^4 b^8 u^3 v^2 w^4 x^3 y^2 z - 9 a^2 b^10 u^3 v^2 w^4 x^3 y^2 z -
  b^12 u^3 v^2 w^4 x^3 y^2 z + 36 a^10 c^2 u^3 v^2 w^4 x^3 y^2 z -
 25 a^8 b^2 c^2 u^3 v^2 w^4 x^3 y^2 z -
 72 a^6 b^4 c^2 u^3 v^2 w^4 x^3 y^2 z +
 54 a^4 b^6 c^2 u^3 v^2 w^4 x^3 y^2 z +
 28 a^2 b^8 c^2 u^3 v^2 w^4 x^3 y^2 z -
 21 b^10 c^2 u^3 v^2 w^4 x^3 y^2 z -
 90 a^8 c^4 u^3 v^2 w^4 x^3 y^2 z +
 6 a^6 b^2 c^4 u^3 v^2 w^4 x^3 y^2 z +
 38 a^4 b^4 c^4 u^3 v^2 w^4 x^3 y^2 z -
 6 a^2 b^6 c^4 u^3 v^2 w^4 x^3 y^2 z +
 84 b^8 c^4 u^3 v^2 w^4 x^3 y^2 z +
 120 a^6 c^6 u^3 v^2 w^4 x^3 y^2 z +
 22 a^4 b^2 c^6 u^3 v^2 w^4 x^3 y^2 z -
 32 a^2 b^4 c^6 u^3 v^2 w^4 x^3 y^2 z -
 110 b^6 c^6 u^3 v^2 w^4 x^3 y^2 z -
 90 a^4 c^8 u^3 v^2 w^4 x^3 y^2 z -
 17 a^2 b^2 c^8 u^3 v^2 w^4 x^3 y^2 z +
 51 b^4 c^8 u^3 v^2 w^4 x^3 y^2 z +
 36 a^2 c^10 u^3 v^2 w^4 x^3 y^2 z +
 3 b^2 c^10 u^3 v^2 w^4 x^3 y^2 z - 6 c^12 u^3 v^2 w^4 x^3 y^2 z +
 7 a^12 u^2 v^3 w^4 x^3 y^2 z - 21 a^10 b^2 u^2 v^3 w^4 x^3 y^2 z +
 27 a^8 b^4 u^2 v^3 w^4 x^3 y^2 z -
 38 a^6 b^6 u^2 v^3 w^4 x^3 y^2 z +
 57 a^4 b^8 u^2 v^3 w^4 x^3 y^2 z -
 45 a^2 b^10 u^2 v^3 w^4 x^3 y^2 z + 13 b^12 u^2 v^3 w^4 x^3 y^2 z +
 5 a^10 c^2 u^2 v^3 w^4 x^3 y^2 z +
 56 a^8 b^2 c^2 u^2 v^3 w^4 x^3 y^2 z -
 94 a^6 b^4 c^2 u^2 v^3 w^4 x^3 y^2 z -
 48 a^4 b^6 c^2 u^2 v^3 w^4 x^3 y^2 z +
 129 a^2 b^8 c^2 u^2 v^3 w^4 x^3 y^2 z -
 48 b^10 c^2 u^2 v^3 w^4 x^3 y^2 z -
 77 a^8 c^4 u^2 v^3 w^4 x^3 y^2 z -
 50 a^6 b^2 c^4 u^2 v^3 w^4 x^3 y^2 z +
 118 a^4 b^4 c^4 u^2 v^3 w^4 x^3 y^2 z -
 66 a^2 b^6 c^4 u^2 v^3 w^4 x^3 y^2 z +
 75 b^8 c^4 u^2 v^3 w^4 x^3 y^2 z +
 118 a^6 c^6 u^2 v^3 w^4 x^3 y^2 z -
 32 a^4 b^2 c^6 u^2 v^3 w^4 x^3 y^2 z -
 94 a^2 b^4 c^6 u^2 v^3 w^4 x^3 y^2 z -
 80 b^6 c^6 u^2 v^3 w^4 x^3 y^2 z -
 47 a^4 c^8 u^2 v^3 w^4 x^3 y^2 z +
 95 a^2 b^2 c^8 u^2 v^3 w^4 x^3 y^2 z +
 75 b^4 c^8 u^2 v^3 w^4 x^3 y^2 z -
 19 a^2 c^10 u^2 v^3 w^4 x^3 y^2 z -
 48 b^2 c^10 u^2 v^3 w^4 x^3 y^2 z + 13 c^12 u^2 v^3 w^4 x^3 y^2 z +
 8 a^12 u v^4 w^4 x^3 y^2 z - 23 a^10 b^2 u v^4 w^4 x^3 y^2 z +
 20 a^8 b^4 u v^4 w^4 x^3 y^2 z - 10 a^6 b^6 u v^4 w^4 x^3 y^2 z +
 20 a^4 b^8 u v^4 w^4 x^3 y^2 z - 23 a^2 b^10 u v^4 w^4 x^3 y^2 z +
 8 b^12 u v^4 w^4 x^3 y^2 z - 4 a^10 c^2 u v^4 w^4 x^3 y^2 z +
 41 a^8 b^2 c^2 u v^4 w^4 x^3 y^2 z -
 56 a^6 b^4 c^2 u v^4 w^4 x^3 y^2 z -
 34 a^4 b^6 c^2 u v^4 w^4 x^3 y^2 z +
 92 a^2 b^8 c^2 u v^4 w^4 x^3 y^2 z -
 39 b^10 c^2 u v^4 w^4 x^3 y^2 z - 33 a^8 c^4 u v^4 w^4 x^3 y^2 z +
 22 a^6 b^2 c^4 u v^4 w^4 x^3 y^2 z +
 42 a^4 b^4 c^4 u v^4 w^4 x^3 y^2 z -
 138 a^2 b^6 c^4 u v^4 w^4 x^3 y^2 z +
 75 b^8 c^4 u v^4 w^4 x^3 y^2 z + 44 a^6 c^6 u v^4 w^4 x^3 y^2 z -
 14 a^4 b^2 c^6 u v^4 w^4 x^3 y^2 z +
 92 a^2 b^4 c^6 u v^4 w^4 x^3 y^2 z -
 70 b^6 c^6 u v^4 w^4 x^3 y^2 z - 14 a^4 c^8 u v^4 w^4 x^3 y^2 z -
 23 a^2 b^2 c^8 u v^4 w^4 x^3 y^2 z +
 30 b^4 c^8 u v^4 w^4 x^3 y^2 z - 3 b^2 c^10 u v^4 w^4 x^3 y^2 z -
 c^12 u v^4 w^4 x^3 y^2 z + a^12 v^5 w^4 x^3 y^2 z -
 4 a^10 b^2 v^5 w^4 x^3 y^2 z + 6 a^8 b^4 v^5 w^4 x^3 y^2 z -
 4 a^6 b^6 v^5 w^4 x^3 y^2 z + a^4 b^8 v^5 w^4 x^3 y^2 z -
 8 a^10 c^2 v^5 w^4 x^3 y^2 z + 12 a^8 b^2 c^2 v^5 w^4 x^3 y^2 z -
 4 a^4 b^6 c^2 v^5 w^4 x^3 y^2 z + 2 a^8 c^4 v^5 w^4 x^3 y^2 z -
 12 a^6 b^2 c^4 v^5 w^4 x^3 y^2 z - 6 a^4 b^4 c^4 v^5 w^4 x^3 y^2 z +
 16 a^6 c^6 v^5 w^4 x^3 y^2 z + 20 a^4 b^2 c^6 v^5 w^4 x^3 y^2 z -
 11 a^4 c^8 v^5 w^4 x^3 y^2 z - 4 a^8 b^4 u^4 w^5 x^3 y^2 z +
 10 a^6 b^6 u^4 w^5 x^3 y^2 z - 6 a^4 b^8 u^4 w^5 x^3 y^2 z -
 2 a^2 b^10 u^4 w^5 x^3 y^2 z + 2 b^12 u^4 w^5 x^3 y^2 z +
 12 a^6 b^4 c^2 u^4 w^5 x^3 y^2 z -
 18 a^4 b^6 c^2 u^4 w^5 x^3 y^2 z + 8 a^2 b^8 c^2 u^4 w^5 x^3 y^2 z -
 2 b^10 c^2 u^4 w^5 x^3 y^2 z - 12 a^4 b^4 c^4 u^4 w^5 x^3 y^2 z +
 6 a^2 b^6 c^4 u^4 w^5 x^3 y^2 z - 2 b^8 c^4 u^4 w^5 x^3 y^2 z +
 4 a^2 b^4 c^6 u^4 w^5 x^3 y^2 z + 2 b^6 c^6 u^4 w^5 x^3 y^2 z -
 6 a^12 u^3 v w^5 x^3 y^2 z + 3 a^10 b^2 u^3 v w^5 x^3 y^2 z +
 9 a^8 b^4 u^3 v w^5 x^3 y^2 z + 4 a^6 b^6 u^3 v w^5 x^3 y^2 z -
 6 a^4 b^8 u^3 v w^5 x^3 y^2 z - 15 a^2 b^10 u^3 v w^5 x^3 y^2 z +
 11 b^12 u^3 v w^5 x^3 y^2 z + 36 a^10 c^2 u^3 v w^5 x^3 y^2 z -
 3 a^8 b^2 c^2 u^3 v w^5 x^3 y^2 z -
 50 a^6 b^4 c^2 u^3 v w^5 x^3 y^2 z -
 6 a^4 b^6 c^2 u^3 v w^5 x^3 y^2 z +
 50 a^2 b^8 c^2 u^3 v w^5 x^3 y^2 z -
 27 b^10 c^2 u^3 v w^5 x^3 y^2 z - 90 a^8 c^4 u^3 v w^5 x^3 y^2 z -
 18 a^6 b^2 c^4 u^3 v w^5 x^3 y^2 z +
 76 a^4 b^4 c^4 u^3 v w^5 x^3 y^2 z +
 24 b^8 c^4 u^3 v w^5 x^3 y^2 z + 120 a^6 c^6 u^3 v w^5 x^3 y^2 z +
 42 a^4 b^2 c^6 u^3 v w^5 x^3 y^2 z -
 38 a^2 b^4 c^6 u^3 v w^5 x^3 y^2 z -
 14 b^6 c^6 u^3 v w^5 x^3 y^2 z - 90 a^4 c^8 u^3 v w^5 x^3 y^2 z -
 33 a^2 b^2 c^8 u^3 v w^5 x^3 y^2 z + 3 b^4 c^8 u^3 v w^5 x^3 y^2 z +
 36 a^2 c^10 u^3 v w^5 x^3 y^2 z + 9 b^2 c^10 u^3 v w^5 x^3 y^2 z -
 6 c^12 u^3 v w^5 x^3 y^2 z - 9 a^12 u^2 v^2 w^5 x^3 y^2 z -
 2 a^10 b^2 u^2 v^2 w^5 x^3 y^2 z +
 36 a^8 b^4 u^2 v^2 w^5 x^3 y^2 z -
 22 a^6 b^6 u^2 v^2 w^5 x^3 y^2 z + 5 a^4 b^8 u^2 v^2 w^5 x^3 y^2 z -
 24 a^2 b^10 u^2 v^2 w^5 x^3 y^2 z + 16 b^12 u^2 v^2 w^5 x^3 y^2 z +
 43 a^10 c^2 u^2 v^2 w^5 x^3 y^2 z +
 13 a^8 b^2 c^2 u^2 v^2 w^5 x^3 y^2 z -
 98 a^6 b^4 c^2 u^2 v^2 w^5 x^3 y^2 z +
 40 a^4 b^6 c^2 u^2 v^2 w^5 x^3 y^2 z +
 67 a^2 b^8 c^2 u^2 v^2 w^5 x^3 y^2 z -
 65 b^10 c^2 u^2 v^2 w^5 x^3 y^2 z -
 80 a^8 c^4 u^2 v^2 w^5 x^3 y^2 z -
 18 a^6 b^2 c^4 u^2 v^2 w^5 x^3 y^2 z +
 48 a^4 b^4 c^4 u^2 v^2 w^5 x^3 y^2 z -
 44 a^2 b^6 c^4 u^2 v^2 w^5 x^3 y^2 z +
 102 b^8 c^4 u^2 v^2 w^5 x^3 y^2 z +
 70 a^6 c^6 u^2 v^2 w^5 x^3 y^2 z -
 4 a^4 b^2 c^6 u^2 v^2 w^5 x^3 y^2 z -
 18 a^2 b^4 c^6 u^2 v^2 w^5 x^3 y^2 z -
 78 b^6 c^6 u^2 v^2 w^5 x^3 y^2 z -
 25 a^4 c^8 u^2 v^2 w^5 x^3 y^2 z +
 20 a^2 b^2 c^8 u^2 v^2 w^5 x^3 y^2 z +
 32 b^4 c^8 u^2 v^2 w^5 x^3 y^2 z - a^2 c^10 u^2 v^2 w^5 x^3 y^2 z -
 9 b^2 c^10 u^2 v^2 w^5 x^3 y^2 z + 2 c^12 u^2 v^2 w^5 x^3 y^2 z -
 13 a^10 b^2 u v^3 w^5 x^3 y^2 z + 29 a^8 b^4 u v^3 w^5 x^3 y^2 z -
 16 a^6 b^6 u v^3 w^5 x^3 y^2 z + 4 a^4 b^8 u v^3 w^5 x^3 y^2 z -
 11 a^2 b^10 u v^3 w^5 x^3 y^2 z + 7 b^12 u v^3 w^5 x^3 y^2 z +
 8 a^10 c^2 u v^3 w^5 x^3 y^2 z +
 27 a^8 b^2 c^2 u v^3 w^5 x^3 y^2 z -
 28 a^6 b^4 c^2 u v^3 w^5 x^3 y^2 z +
 8 a^4 b^6 c^2 u v^3 w^5 x^3 y^2 z +
 24 a^2 b^8 c^2 u v^3 w^5 x^3 y^2 z -
 39 b^10 c^2 u v^3 w^5 x^3 y^2 z - 28 a^8 c^4 u v^3 w^5 x^3 y^2 z -
 36 a^6 b^2 c^4 u v^3 w^5 x^3 y^2 z -
 20 a^4 b^4 c^4 u v^3 w^5 x^3 y^2 z +
 2 a^2 b^6 c^4 u v^3 w^5 x^3 y^2 z + 90 b^8 c^4 u v^3 w^5 x^3 y^2 z +
 32 a^6 c^6 u v^3 w^5 x^3 y^2 z +
 16 a^4 b^2 c^6 u v^3 w^5 x^3 y^2 z -
 40 a^2 b^4 c^6 u v^3 w^5 x^3 y^2 z -
 110 b^6 c^6 u v^3 w^5 x^3 y^2 z - 8 a^4 c^8 u v^3 w^5 x^3 y^2 z +
 33 a^2 b^2 c^8 u v^3 w^5 x^3 y^2 z +
 75 b^4 c^8 u v^3 w^5 x^3 y^2 z - 8 a^2 c^10 u v^3 w^5 x^3 y^2 z -
 27 b^2 c^10 u v^3 w^5 x^3 y^2 z + 4 c^12 u v^3 w^5 x^3 y^2 z +
 3 a^12 v^4 w^5 x^3 y^2 z - 8 a^10 b^2 v^4 w^5 x^3 y^2 z +
 6 a^8 b^4 v^4 w^5 x^3 y^2 z - a^4 b^8 v^4 w^5 x^3 y^2 z -
 2 a^10 c^2 v^4 w^5 x^3 y^2 z + 22 a^8 b^2 c^2 v^4 w^5 x^3 y^2 z -
 6 a^6 b^4 c^2 v^4 w^5 x^3 y^2 z - 14 a^4 b^6 c^2 v^4 w^5 x^3 y^2 z -
 12 a^8 c^4 v^4 w^5 x^3 y^2 z - 12 a^6 b^2 c^4 v^4 w^5 x^3 y^2 z +
 24 a^4 b^4 c^4 v^4 w^5 x^3 y^2 z + 18 a^6 c^6 v^4 w^5 x^3 y^2 z -
 2 a^4 b^2 c^6 v^4 w^5 x^3 y^2 z - 7 a^4 c^8 v^4 w^5 x^3 y^2 z -
 a^8 b^4 u^3 w^6 x^3 y^2 z + 2 a^6 b^6 u^3 w^6 x^3 y^2 z -
 2 a^2 b^10 u^3 w^6 x^3 y^2 z + b^12 u^3 w^6 x^3 y^2 z +
 4 a^6 b^4 c^2 u^3 w^6 x^3 y^2 z - 2 a^4 b^6 c^2 u^3 w^6 x^3 y^2 z -
 2 b^10 c^2 u^3 w^6 x^3 y^2 z - 6 a^4 b^4 c^4 u^3 w^6 x^3 y^2 z -
 2 a^2 b^6 c^4 u^3 w^6 x^3 y^2 z + 4 a^2 b^4 c^6 u^3 w^6 x^3 y^2 z +
 2 b^6 c^6 u^3 w^6 x^3 y^2 z - b^4 c^8 u^3 w^6 x^3 y^2 z -
 2 a^12 u^2 v w^6 x^3 y^2 z - a^10 b^2 u^2 v w^6 x^3 y^2 z +
 3 a^8 b^4 u^2 v w^6 x^3 y^2 z + 2 a^6 b^6 u^2 v w^6 x^3 y^2 z +
 4 a^4 b^8 u^2 v w^6 x^3 y^2 z - 9 a^2 b^10 u^2 v w^6 x^3 y^2 z +
 3 b^12 u^2 v w^6 x^3 y^2 z + 12 a^10 c^2 u^2 v w^6 x^3 y^2 z +
 11 a^8 b^2 c^2 u^2 v w^6 x^3 y^2 z -
 8 a^6 b^4 c^2 u^2 v w^6 x^3 y^2 z -
 6 a^4 b^6 c^2 u^2 v w^6 x^3 y^2 z +
 4 a^2 b^8 c^2 u^2 v w^6 x^3 y^2 z -
 13 b^10 c^2 u^2 v w^6 x^3 y^2 z - 30 a^8 c^4 u^2 v w^6 x^3 y^2 z -
 34 a^6 b^2 c^4 u^2 v w^6 x^3 y^2 z +
 2 a^4 b^4 c^4 u^2 v w^6 x^3 y^2 z +
 14 a^2 b^6 c^4 u^2 v w^6 x^3 y^2 z +
 20 b^8 c^4 u^2 v w^6 x^3 y^2 z + 40 a^6 c^6 u^2 v w^6 x^3 y^2 z +
 46 a^4 b^2 c^6 u^2 v w^6 x^3 y^2 z +
 8 a^2 b^4 c^6 u^2 v w^6 x^3 y^2 z - 10 b^6 c^6 u^2 v w^6 x^3 y^2 z -
 30 a^4 c^8 u^2 v w^6 x^3 y^2 z -
 29 a^2 b^2 c^8 u^2 v w^6 x^3 y^2 z - 5 b^4 c^8 u^2 v w^6 x^3 y^2 z +
 12 a^2 c^10 u^2 v w^6 x^3 y^2 z + 7 b^2 c^10 u^2 v w^6 x^3 y^2 z -
 2 c^12 u^2 v w^6 x^3 y^2 z - 3 a^12 u v^2 w^6 x^3 y^2 z -
 5 a^10 b^2 u v^2 w^6 x^3 y^2 z + 10 a^8 b^4 u v^2 w^6 x^3 y^2 z +
 4 a^6 b^6 u v^2 w^6 x^3 y^2 z - a^4 b^8 u v^2 w^6 x^3 y^2 z -
 7 a^2 b^10 u v^2 w^6 x^3 y^2 z + 2 b^12 u v^2 w^6 x^3 y^2 z +
 13 a^10 c^2 u v^2 w^6 x^3 y^2 z +
 20 a^8 b^2 c^2 u v^2 w^6 x^3 y^2 z -
 20 a^6 b^4 c^2 u v^2 w^6 x^3 y^2 z -
 12 a^4 b^6 c^2 u v^2 w^6 x^3 y^2 z +
 11 a^2 b^8 c^2 u v^2 w^6 x^3 y^2 z -
 12 b^10 c^2 u v^2 w^6 x^3 y^2 z - 20 a^8 c^4 u v^2 w^6 x^3 y^2 z -
 18 a^6 b^2 c^4 u v^2 w^6 x^3 y^2 z +
 24 a^4 b^4 c^4 u v^2 w^6 x^3 y^2 z +
 16 a^2 b^6 c^4 u v^2 w^6 x^3 y^2 z +
 30 b^8 c^4 u v^2 w^6 x^3 y^2 z + 10 a^6 c^6 u v^2 w^6 x^3 y^2 z -
 16 a^4 b^2 c^6 u v^2 w^6 x^3 y^2 z -
 44 a^2 b^4 c^6 u v^2 w^6 x^3 y^2 z -
 40 b^6 c^6 u v^2 w^6 x^3 y^2 z + 5 a^4 c^8 u v^2 w^6 x^3 y^2 z +
 31 a^2 b^2 c^8 u v^2 w^6 x^3 y^2 z +
 30 b^4 c^8 u v^2 w^6 x^3 y^2 z - 7 a^2 c^10 u v^2 w^6 x^3 y^2 z -
 12 b^2 c^10 u v^2 w^6 x^3 y^2 z + 2 c^12 u v^2 w^6 x^3 y^2 z -
 a^12 v^3 w^6 x^3 y^2 z - 4 a^10 b^2 v^3 w^6 x^3 y^2 z +
 6 a^8 b^4 v^3 w^6 x^3 y^2 z + 4 a^6 b^6 v^3 w^6 x^3 y^2 z -
 5 a^4 b^8 v^3 w^6 x^3 y^2 z + 4 a^10 c^2 v^3 w^6 x^3 y^2 z +
 4 a^8 b^2 c^2 v^3 w^6 x^3 y^2 z - 12 a^6 b^4 c^2 v^3 w^6 x^3 y^2 z +
 4 a^4 b^6 c^2 v^3 w^6 x^3 y^2 z - 6 a^8 c^4 v^3 w^6 x^3 y^2 z +
 4 a^6 b^2 c^4 v^3 w^6 x^3 y^2 z + 6 a^4 b^4 c^4 v^3 w^6 x^3 y^2 z +
 4 a^6 c^6 v^3 w^6 x^3 y^2 z - 4 a^4 b^2 c^6 v^3 w^6 x^3 y^2 z -
 a^4 c^8 v^3 w^6 x^3 y^2 z - 2 a^8 c^4 u^6 v^3 x^2 y^3 z +
 8 a^6 b^2 c^4 u^6 v^3 x^2 y^3 z - 12 a^4 b^4 c^4 u^6 v^3 x^2 y^3 z +
 8 a^2 b^6 c^4 u^6 v^3 x^2 y^3 z - 2 b^8 c^4 u^6 v^3 x^2 y^3 z +
 4 a^6 c^6 u^6 v^3 x^2 y^3 z - 12 a^4 b^2 c^6 u^6 v^3 x^2 y^3 z +
 12 a^2 b^4 c^6 u^6 v^3 x^2 y^3 z - 4 b^6 c^6 u^6 v^3 x^2 y^3 z -
 4 a^2 c^10 u^6 v^3 x^2 y^3 z + 4 b^2 c^10 u^6 v^3 x^2 y^3 z +
 2 c^12 u^6 v^3 x^2 y^3 z - 3 a^8 c^4 u^5 v^4 x^2 y^3 z +
 12 a^6 b^2 c^4 u^5 v^4 x^2 y^3 z -
 18 a^4 b^4 c^4 u^5 v^4 x^2 y^3 z +
 12 a^2 b^6 c^4 u^5 v^4 x^2 y^3 z - 3 b^8 c^4 u^5 v^4 x^2 y^3 z +
 6 a^4 c^8 u^5 v^4 x^2 y^3 z - 12 a^2 b^2 c^8 u^5 v^4 x^2 y^3 z +
 6 b^4 c^8 u^5 v^4 x^2 y^3 z - 3 c^12 u^5 v^4 x^2 y^3 z +
 a^8 c^4 u^3 v^6 x^2 y^3 z - 4 a^6 b^2 c^4 u^3 v^6 x^2 y^3 z +
 6 a^4 b^4 c^4 u^3 v^6 x^2 y^3 z - 4 a^2 b^6 c^4 u^3 v^6 x^2 y^3 z +
 b^8 c^4 u^3 v^6 x^2 y^3 z + 4 a^6 c^6 u^3 v^6 x^2 y^3 z -
 12 a^4 b^2 c^6 u^3 v^6 x^2 y^3 z +
 12 a^2 b^4 c^6 u^3 v^6 x^2 y^3 z - 4 b^6 c^6 u^3 v^6 x^2 y^3 z +
 6 a^4 c^8 u^3 v^6 x^2 y^3 z - 12 a^2 b^2 c^8 u^3 v^6 x^2 y^3 z +
 6 b^4 c^8 u^3 v^6 x^2 y^3 z + 4 a^2 c^10 u^3 v^6 x^2 y^3 z -
 4 b^2 c^10 u^3 v^6 x^2 y^3 z + c^12 u^3 v^6 x^2 y^3 z +
 2 a^10 c^2 u^6 v^2 w x^2 y^3 z -
 10 a^8 b^2 c^2 u^6 v^2 w x^2 y^3 z +
 20 a^6 b^4 c^2 u^6 v^2 w x^2 y^3 z -
 20 a^4 b^6 c^2 u^6 v^2 w x^2 y^3 z +
 10 a^2 b^8 c^2 u^6 v^2 w x^2 y^3 z - 2 b^10 c^2 u^6 v^2 w x^2 y^3 z -
  a^8 c^4 u^6 v^2 w x^2 y^3 z + 8 a^6 b^2 c^4 u^6 v^2 w x^2 y^3 z -
 18 a^4 b^4 c^4 u^6 v^2 w x^2 y^3 z +
 16 a^2 b^6 c^4 u^6 v^2 w x^2 y^3 z - 5 b^8 c^4 u^6 v^2 w x^2 y^3 z -
 16 a^6 c^6 u^6 v^2 w x^2 y^3 z +
 16 a^4 b^2 c^6 u^6 v^2 w x^2 y^3 z +
 34 a^4 c^8 u^6 v^2 w x^2 y^3 z -
 16 a^2 b^2 c^8 u^6 v^2 w x^2 y^3 z - 2 b^4 c^8 u^6 v^2 w x^2 y^3 z -
 26 a^2 c^10 u^6 v^2 w x^2 y^3 z + 2 b^2 c^10 u^6 v^2 w x^2 y^3 z +
 7 c^12 u^6 v^2 w x^2 y^3 z - a^10 c^2 u^5 v^3 w x^2 y^3 z +
 5 a^8 b^2 c^2 u^5 v^3 w x^2 y^3 z -
 10 a^6 b^4 c^2 u^5 v^3 w x^2 y^3 z +
 10 a^4 b^6 c^2 u^5 v^3 w x^2 y^3 z -
 5 a^2 b^8 c^2 u^5 v^3 w x^2 y^3 z + b^10 c^2 u^5 v^3 w x^2 y^3 z +
 11 a^8 c^4 u^5 v^3 w x^2 y^3 z -
 38 a^6 b^2 c^4 u^5 v^3 w x^2 y^3 z +
 48 a^4 b^4 c^4 u^5 v^3 w x^2 y^3 z -
 26 a^2 b^6 c^4 u^5 v^3 w x^2 y^3 z + 5 b^8 c^4 u^5 v^3 w x^2 y^3 z -
 30 a^6 c^6 u^5 v^3 w x^2 y^3 z + 8 a^4 b^2 c^6 u^5 v^3 w x^2 y^3 z +
 18 a^2 b^4 c^6 u^5 v^3 w x^2 y^3 z + 4 b^6 c^6 u^5 v^3 w x^2 y^3 z +
 34 a^4 c^8 u^5 v^3 w x^2 y^3 z +
 14 a^2 b^2 c^8 u^5 v^3 w x^2 y^3 z - 24 b^4 c^8 u^5 v^3 w x^2 y^3 z -
  17 a^2 c^10 u^5 v^3 w x^2 y^3 z + 11 b^2 c^10 u^5 v^3 w x^2 y^3 z +
 3 c^12 u^5 v^3 w x^2 y^3 z - 9 a^10 c^2 u^4 v^4 w x^2 y^3 z +
 45 a^8 b^2 c^2 u^4 v^4 w x^2 y^3 z -
 90 a^6 b^4 c^2 u^4 v^4 w x^2 y^3 z +
 90 a^4 b^6 c^2 u^4 v^4 w x^2 y^3 z -
 45 a^2 b^8 c^2 u^4 v^4 w x^2 y^3 z +
 9 b^10 c^2 u^4 v^4 w x^2 y^3 z + 2 a^8 c^4 u^4 v^4 w x^2 y^3 z -
 2 a^6 b^2 c^4 u^4 v^4 w x^2 y^3 z -
 6 a^4 b^4 c^4 u^4 v^4 w x^2 y^3 z +
 10 a^2 b^6 c^4 u^4 v^4 w x^2 y^3 z - 4 b^8 c^4 u^4 v^4 w x^2 y^3 z -
 18 a^6 c^6 u^4 v^4 w x^2 y^3 z -
 60 a^4 b^2 c^6 u^4 v^4 w x^2 y^3 z +
 102 a^2 b^4 c^6 u^4 v^4 w x^2 y^3 z -
 24 b^6 c^6 u^4 v^4 w x^2 y^3 z + 48 a^4 c^8 u^4 v^4 w x^2 y^3 z -
 62 a^2 b^2 c^8 u^4 v^4 w x^2 y^3 z + 6 b^4 c^8 u^4 v^4 w x^2 y^3 z -
 5 a^2 c^10 u^4 v^4 w x^2 y^3 z + 31 b^2 c^10 u^4 v^4 w x^2 y^3 z -
 18 c^12 u^4 v^4 w x^2 y^3 z - 7 a^10 c^2 u^3 v^5 w x^2 y^3 z +
 35 a^8 b^2 c^2 u^3 v^5 w x^2 y^3 z -
 70 a^6 b^4 c^2 u^3 v^5 w x^2 y^3 z +
 70 a^4 b^6 c^2 u^3 v^5 w x^2 y^3 z -
 35 a^2 b^8 c^2 u^3 v^5 w x^2 y^3 z +
 7 b^10 c^2 u^3 v^5 w x^2 y^3 z - 9 a^8 c^4 u^3 v^5 w x^2 y^3 z +
 46 a^6 b^2 c^4 u^3 v^5 w x^2 y^3 z -
 84 a^4 b^4 c^4 u^3 v^5 w x^2 y^3 z +
 66 a^2 b^6 c^4 u^3 v^5 w x^2 y^3 z -
 19 b^8 c^4 u^3 v^5 w x^2 y^3 z - 28 a^6 c^6 u^3 v^5 w x^2 y^3 z +
 22 a^4 b^2 c^6 u^3 v^5 w x^2 y^3 z + 6 b^6 c^6 u^3 v^5 w x^2 y^3 z +
 8 a^4 c^8 u^3 v^5 w x^2 y^3 z - 58 a^2 b^2 c^8 u^3 v^5 w x^2 y^3 z +
 26 b^4 c^8 u^3 v^5 w x^2 y^3 z + 27 a^2 c^10 u^3 v^5 w x^2 y^3 z -
 29 b^2 c^10 u^3 v^5 w x^2 y^3 z + 9 c^12 u^3 v^5 w x^2 y^3 z -
 a^10 c^2 u^2 v^6 w x^2 y^3 z + 5 a^8 b^2 c^2 u^2 v^6 w x^2 y^3 z -
 10 a^6 b^4 c^2 u^2 v^6 w x^2 y^3 z +
 10 a^4 b^6 c^2 u^2 v^6 w x^2 y^3 z -
 5 a^2 b^8 c^2 u^2 v^6 w x^2 y^3 z + b^10 c^2 u^2 v^6 w x^2 y^3 z +
 a^8 c^4 u^2 v^6 w x^2 y^3 z + 2 a^6 b^2 c^4 u^2 v^6 w x^2 y^3 z -
 12 a^4 b^4 c^4 u^2 v^6 w x^2 y^3 z +
 14 a^2 b^6 c^4 u^2 v^6 w x^2 y^3 z - 5 b^8 c^4 u^2 v^6 w x^2 y^3 z +
 2 a^4 b^2 c^6 u^2 v^6 w x^2 y^3 z -
 12 a^2 b^4 c^6 u^2 v^6 w x^2 y^3 z +
 10 b^6 c^6 u^2 v^6 w x^2 y^3 z + 2 a^2 b^2 c^8 u^2 v^6 w x^2 y^3 z -
 10 b^4 c^8 u^2 v^6 w x^2 y^3 z + a^2 c^10 u^2 v^6 w x^2 y^3 z +
 5 b^2 c^10 u^2 v^6 w x^2 y^3 z - c^12 u^2 v^6 w x^2 y^3 z -
 3 a^10 c^2 u^6 v w^2 x^2 y^3 z + 9 a^8 b^2 c^2 u^6 v w^2 x^2 y^3 z -
 6 a^6 b^4 c^2 u^6 v w^2 x^2 y^3 z -
 6 a^4 b^6 c^2 u^6 v w^2 x^2 y^3 z +
 9 a^2 b^8 c^2 u^6 v w^2 x^2 y^3 z - 3 b^10 c^2 u^6 v w^2 x^2 y^3 z +
 15 a^8 c^4 u^6 v w^2 x^2 y^3 z -
 30 a^6 b^2 c^4 u^6 v w^2 x^2 y^3 z +
 20 a^4 b^4 c^4 u^6 v w^2 x^2 y^3 z -
 10 a^2 b^6 c^4 u^6 v w^2 x^2 y^3 z + 5 b^8 c^4 u^6 v w^2 x^2 y^3 z -
 30 a^6 c^6 u^6 v w^2 x^2 y^3 z +
 36 a^4 b^2 c^6 u^6 v w^2 x^2 y^3 z -
 14 a^2 b^4 c^6 u^6 v w^2 x^2 y^3 z - 8 b^6 c^6 u^6 v w^2 x^2 y^3 z +
 30 a^4 c^8 u^6 v w^2 x^2 y^3 z -
 18 a^2 b^2 c^8 u^6 v w^2 x^2 y^3 z -
 15 a^2 c^10 u^6 v w^2 x^2 y^3 z + 3 b^2 c^10 u^6 v w^2 x^2 y^3 z +
 3 c^12 u^6 v w^2 x^2 y^3 z + 2 a^12 u^5 v^2 w^2 x^2 y^3 z -
 12 a^10 b^2 u^5 v^2 w^2 x^2 y^3 z +
 30 a^8 b^4 u^5 v^2 w^2 x^2 y^3 z -
 40 a^6 b^6 u^5 v^2 w^2 x^2 y^3 z +
 30 a^4 b^8 u^5 v^2 w^2 x^2 y^3 z -
 12 a^2 b^10 u^5 v^2 w^2 x^2 y^3 z + 2 b^12 u^5 v^2 w^2 x^2 y^3 z -
 3 a^10 c^2 u^5 v^2 w^2 x^2 y^3 z +
 17 a^8 b^2 c^2 u^5 v^2 w^2 x^2 y^3 z -
 38 a^6 b^4 c^2 u^5 v^2 w^2 x^2 y^3 z +
 42 a^4 b^6 c^2 u^5 v^2 w^2 x^2 y^3 z -
 23 a^2 b^8 c^2 u^5 v^2 w^2 x^2 y^3 z +
 5 b^10 c^2 u^5 v^2 w^2 x^2 y^3 z + 7 a^8 c^4 u^5 v^2 w^2 x^2 y^3 z +
 16 a^6 b^2 c^4 u^5 v^2 w^2 x^2 y^3 z -
 22 a^4 b^4 c^4 u^5 v^2 w^2 x^2 y^3 z -
 32 a^2 b^6 c^4 u^5 v^2 w^2 x^2 y^3 z +
 31 b^8 c^4 u^5 v^2 w^2 x^2 y^3 z -
 38 a^6 c^6 u^5 v^2 w^2 x^2 y^3 z -
 30 a^4 b^2 c^6 u^5 v^2 w^2 x^2 y^3 z +
 70 a^2 b^4 c^6 u^5 v^2 w^2 x^2 y^3 z -
 50 b^6 c^6 u^5 v^2 w^2 x^2 y^3 z +
 72 a^4 c^8 u^5 v^2 w^2 x^2 y^3 z +
 4 a^2 b^2 c^8 u^5 v^2 w^2 x^2 y^3 z -
 8 b^4 c^8 u^5 v^2 w^2 x^2 y^3 z -
 55 a^2 c^10 u^5 v^2 w^2 x^2 y^3 z +
 5 b^2 c^10 u^5 v^2 w^2 x^2 y^3 z + 15 c^12 u^5 v^2 w^2 x^2 y^3 z +
 3 a^12 u^4 v^3 w^2 x^2 y^3 z - 18 a^10 b^2 u^4 v^3 w^2 x^2 y^3 z +
 45 a^8 b^4 u^4 v^3 w^2 x^2 y^3 z -
 60 a^6 b^6 u^4 v^3 w^2 x^2 y^3 z +
 45 a^4 b^8 u^4 v^3 w^2 x^2 y^3 z -
 18 a^2 b^10 u^4 v^3 w^2 x^2 y^3 z + 3 b^12 u^4 v^3 w^2 x^2 y^3 z +
 2 a^10 c^2 u^4 v^3 w^2 x^2 y^3 z -
 20 a^6 b^4 c^2 u^4 v^3 w^2 x^2 y^3 z +
 40 a^4 b^6 c^2 u^4 v^3 w^2 x^2 y^3 z -
 30 a^2 b^8 c^2 u^4 v^3 w^2 x^2 y^3 z +
 8 b^10 c^2 u^4 v^3 w^2 x^2 y^3 z +
 20 a^8 c^4 u^4 v^3 w^2 x^2 y^3 z +
 2 a^6 b^2 c^4 u^4 v^3 w^2 x^2 y^3 z -
 62 a^4 b^4 c^4 u^4 v^3 w^2 x^2 y^3 z +
 38 a^2 b^6 c^4 u^4 v^3 w^2 x^2 y^3 z +
 2 b^8 c^4 u^4 v^3 w^2 x^2 y^3 z - 78 a^6 c^6 u^4 v^3 w^2 x^2 y^3 z +
 56 a^4 b^2 c^6 u^4 v^3 w^2 x^2 y^3 z +
 50 a^2 b^4 c^6 u^4 v^3 w^2 x^2 y^3 z -
 60 b^6 c^6 u^4 v^3 w^2 x^2 y^3 z +
 49 a^4 c^8 u^4 v^3 w^2 x^2 y^3 z -
 68 a^2 b^2 c^8 u^4 v^3 w^2 x^2 y^3 z +
 43 b^4 c^8 u^4 v^3 w^2 x^2 y^3 z +
 28 a^2 c^10 u^4 v^3 w^2 x^2 y^3 z +
 28 b^2 c^10 u^4 v^3 w^2 x^2 y^3 z - 24 c^12 u^4 v^3 w^2 x^2 y^3 z -
 13 a^10 c^2 u^3 v^4 w^2 x^2 y^3 z +
 53 a^8 b^2 c^2 u^3 v^4 w^2 x^2 y^3 z -
 82 a^6 b^4 c^2 u^3 v^4 w^2 x^2 y^3 z +
 58 a^4 b^6 c^2 u^3 v^4 w^2 x^2 y^3 z -
 17 a^2 b^8 c^2 u^3 v^4 w^2 x^2 y^3 z +
 b^10 c^2 u^3 v^4 w^2 x^2 y^3 z + 10 a^8 c^4 u^3 v^4 w^2 x^2 y^3 z -
 32 a^6 b^2 c^4 u^3 v^4 w^2 x^2 y^3 z +
 32 a^4 b^4 c^4 u^3 v^4 w^2 x^2 y^3 z -
 8 a^2 b^6 c^4 u^3 v^4 w^2 x^2 y^3 z -
 2 b^8 c^4 u^3 v^4 w^2 x^2 y^3 z + 18 a^6 c^6 u^3 v^4 w^2 x^2 y^3 z -
 46 a^4 b^2 c^6 u^3 v^4 w^2 x^2 y^3 z +
 62 a^2 b^4 c^6 u^3 v^4 w^2 x^2 y^3 z -
 2 b^6 c^6 u^3 v^4 w^2 x^2 y^3 z - 12 a^4 c^8 u^3 v^4 w^2 x^2 y^3 z -
 32 a^2 b^2 c^8 u^3 v^4 w^2 x^2 y^3 z +
 8 b^4 c^8 u^3 v^4 w^2 x^2 y^3 z - 5 a^2 c^10 u^3 v^4 w^2 x^2 y^3 z -
 7 b^2 c^10 u^3 v^4 w^2 x^2 y^3 z + 2 c^12 u^3 v^4 w^2 x^2 y^3 z -
 a^12 u^2 v^5 w^2 x^2 y^3 z + 6 a^10 b^2 u^2 v^5 w^2 x^2 y^3 z -
 15 a^8 b^4 u^2 v^5 w^2 x^2 y^3 z +
 20 a^6 b^6 u^2 v^5 w^2 x^2 y^3 z -
 15 a^4 b^8 u^2 v^5 w^2 x^2 y^3 z + 6 a^2 b^10 u^2 v^5 w^2 x^2 y^3 z -
  b^12 u^2 v^5 w^2 x^2 y^3 z - 17 a^10 c^2 u^2 v^5 w^2 x^2 y^3 z +
 69 a^8 b^2 c^2 u^2 v^5 w^2 x^2 y^3 z -
 106 a^6 b^4 c^2 u^2 v^5 w^2 x^2 y^3 z +
 74 a^4 b^6 c^2 u^2 v^5 w^2 x^2 y^3 z -
 21 a^2 b^8 c^2 u^2 v^5 w^2 x^2 y^3 z +
 b^10 c^2 u^2 v^5 w^2 x^2 y^3 z - 46 a^8 c^4 u^2 v^5 w^2 x^2 y^3 z +
 100 a^6 b^2 c^4 u^2 v^5 w^2 x^2 y^3 z -
 52 a^4 b^4 c^4 u^2 v^5 w^2 x^2 y^3 z -
 12 a^2 b^6 c^4 u^2 v^5 w^2 x^2 y^3 z +
 10 b^8 c^4 u^2 v^5 w^2 x^2 y^3 z + 2 a^6 c^6 u^2 v^5 w^2 x^2 y^3 z -
 26 a^4 b^2 c^6 u^2 v^5 w^2 x^2 y^3 z +
 102 a^2 b^4 c^6 u^2 v^5 w^2 x^2 y^3 z -
 30 b^6 c^6 u^2 v^5 w^2 x^2 y^3 z +
 19 a^4 c^8 u^2 v^5 w^2 x^2 y^3 z -
 114 a^2 b^2 c^8 u^2 v^5 w^2 x^2 y^3 z +
 35 b^4 c^8 u^2 v^5 w^2 x^2 y^3 z +
 39 a^2 c^10 u^2 v^5 w^2 x^2 y^3 z -
 19 b^2 c^10 u^2 v^5 w^2 x^2 y^3 z + 4 c^12 u^2 v^5 w^2 x^2 y^3 z -
 2 a^10 c^2 u v^6 w^2 x^2 y^3 z + 8 a^8 b^2 c^2 u v^6 w^2 x^2 y^3 z -
 12 a^6 b^4 c^2 u v^6 w^2 x^2 y^3 z +
 8 a^4 b^6 c^2 u v^6 w^2 x^2 y^3 z -
 2 a^2 b^8 c^2 u v^6 w^2 x^2 y^3 z - 16 a^8 c^4 u v^6 w^2 x^2 y^3 z +
 40 a^6 b^2 c^4 u v^6 w^2 x^2 y^3 z -
 32 a^4 b^4 c^4 u v^6 w^2 x^2 y^3 z +
 8 a^2 b^6 c^4 u v^6 w^2 x^2 y^3 z - 12 a^6 c^6 u v^6 w^2 x^2 y^3 z +
 40 a^4 b^2 c^6 u v^6 w^2 x^2 y^3 z -
 12 a^2 b^4 c^6 u v^6 w^2 x^2 y^3 z -
 16 a^4 c^8 u v^6 w^2 x^2 y^3 z + 8 a^2 b^2 c^8 u v^6 w^2 x^2 y^3 z -
 2 a^2 c^10 u v^6 w^2 x^2 y^3 z - 2 a^6 b^4 c^2 u^6 w^3 x^2 y^3 z +
 6 a^4 b^6 c^2 u^6 w^3 x^2 y^3 z - 6 a^2 b^8 c^2 u^6 w^3 x^2 y^3 z +
 2 b^10 c^2 u^6 w^3 x^2 y^3 z + 6 a^4 b^4 c^4 u^6 w^3 x^2 y^3 z -
 4 a^2 b^6 c^4 u^6 w^3 x^2 y^3 z - 2 b^8 c^4 u^6 w^3 x^2 y^3 z -
 6 a^2 b^4 c^6 u^6 w^3 x^2 y^3 z - 2 b^6 c^6 u^6 w^3 x^2 y^3 z +
 2 b^4 c^8 u^6 w^3 x^2 y^3 z - 3 a^12 u^5 v w^3 x^2 y^3 z +
 13 a^10 b^2 u^5 v w^3 x^2 y^3 z - 20 a^8 b^4 u^5 v w^3 x^2 y^3 z +
 10 a^6 b^6 u^5 v w^3 x^2 y^3 z + 5 a^4 b^8 u^5 v w^3 x^2 y^3 z -
 7 a^2 b^10 u^5 v w^3 x^2 y^3 z + 2 b^12 u^5 v w^3 x^2 y^3 z +
 9 a^10 c^2 u^5 v w^3 x^2 y^3 z -
 40 a^8 b^2 c^2 u^5 v w^3 x^2 y^3 z +
 56 a^6 b^4 c^2 u^5 v w^3 x^2 y^3 z -
 18 a^4 b^6 c^2 u^5 v w^3 x^2 y^3 z -
 17 a^2 b^8 c^2 u^5 v w^3 x^2 y^3 z +
 10 b^10 c^2 u^5 v w^3 x^2 y^3 z +
 34 a^6 b^2 c^4 u^5 v w^3 x^2 y^3 z -
 60 a^4 b^4 c^4 u^5 v w^3 x^2 y^3 z +
 10 a^2 b^6 c^4 u^5 v w^3 x^2 y^3 z +
 16 b^8 c^4 u^5 v w^3 x^2 y^3 z - 30 a^6 c^6 u^5 v w^3 x^2 y^3 z +
 8 a^4 b^2 c^6 u^5 v w^3 x^2 y^3 z +
 16 a^2 b^4 c^6 u^5 v w^3 x^2 y^3 z -
 50 b^6 c^6 u^5 v w^3 x^2 y^3 z + 45 a^4 c^8 u^5 v w^3 x^2 y^3 z -
 23 a^2 b^2 c^8 u^5 v w^3 x^2 y^3 z + 8 b^4 c^8 u^5 v w^3 x^2 y^3 z -
 27 a^2 c^10 u^5 v w^3 x^2 y^3 z + 8 b^2 c^10 u^5 v w^3 x^2 y^3 z +
 6 c^12 u^5 v w^3 x^2 y^3 z - a^12 u^4 v^2 w^3 x^2 y^3 z +
 6 a^10 b^2 u^4 v^2 w^3 x^2 y^3 z -
 15 a^8 b^4 u^4 v^2 w^3 x^2 y^3 z +
 20 a^6 b^6 u^4 v^2 w^3 x^2 y^3 z -
 15 a^4 b^8 u^4 v^2 w^3 x^2 y^3 z + 6 a^2 b^10 u^4 v^2 w^3 x^2 y^3 z -
  b^12 u^4 v^2 w^3 x^2 y^3 z + 9 a^10 c^2 u^4 v^2 w^3 x^2 y^3 z -
 9 a^8 b^2 c^2 u^4 v^2 w^3 x^2 y^3 z -
 22 a^6 b^4 c^2 u^4 v^2 w^3 x^2 y^3 z +
 30 a^4 b^6 c^2 u^4 v^2 w^3 x^2 y^3 z -
 3 a^2 b^8 c^2 u^4 v^2 w^3 x^2 y^3 z -
 5 b^10 c^2 u^4 v^2 w^3 x^2 y^3 z -
 30 a^8 c^4 u^4 v^2 w^3 x^2 y^3 z +
 16 a^6 b^2 c^4 u^4 v^2 w^3 x^2 y^3 z +
 20 a^4 b^4 c^4 u^4 v^2 w^3 x^2 y^3 z -
 48 a^2 b^6 c^4 u^4 v^2 w^3 x^2 y^3 z +
 42 b^8 c^4 u^4 v^2 w^3 x^2 y^3 z +
 50 a^6 c^6 u^4 v^2 w^3 x^2 y^3 z -
 38 a^4 b^2 c^6 u^4 v^2 w^3 x^2 y^3 z -
 10 a^2 b^4 c^6 u^4 v^2 w^3 x^2 y^3 z -
 82 b^6 c^6 u^4 v^2 w^3 x^2 y^3 z -
 45 a^4 c^8 u^4 v^2 w^3 x^2 y^3 z +
 34 a^2 b^2 c^8 u^4 v^2 w^3 x^2 y^3 z +
 59 b^4 c^8 u^4 v^2 w^3 x^2 y^3 z +
 21 a^2 c^10 u^4 v^2 w^3 x^2 y^3 z -
 9 b^2 c^10 u^4 v^2 w^3 x^2 y^3 z - 4 c^12 u^4 v^2 w^3 x^2 y^3 z +
 6 a^12 u^3 v^3 w^3 x^2 y^3 z - 24 a^10 b^2 u^3 v^3 w^3 x^2 y^3 z +
 30 a^8 b^4 u^3 v^3 w^3 x^2 y^3 z -
 30 a^4 b^8 u^3 v^3 w^3 x^2 y^3 z +
 24 a^2 b^10 u^3 v^3 w^3 x^2 y^3 z - 6 b^12 u^3 v^3 w^3 x^2 y^3 z +
 29 a^10 c^2 u^3 v^3 w^3 x^2 y^3 z -
 15 a^8 b^2 c^2 u^3 v^3 w^3 x^2 y^3 z -
 122 a^6 b^4 c^2 u^3 v^3 w^3 x^2 y^3 z +
 166 a^4 b^6 c^2 u^3 v^3 w^3 x^2 y^3 z -
 51 a^2 b^8 c^2 u^3 v^3 w^3 x^2 y^3 z -
 7 b^10 c^2 u^3 v^3 w^3 x^2 y^3 z -
 83 a^8 c^4 u^3 v^3 w^3 x^2 y^3 z +
 156 a^6 b^2 c^4 u^3 v^3 w^3 x^2 y^3 z -
 102 a^4 b^4 c^4 u^3 v^3 w^3 x^2 y^3 z -
 44 a^2 b^6 c^4 u^3 v^3 w^3 x^2 y^3 z +
 73 b^8 c^4 u^3 v^3 w^3 x^2 y^3 z +
 30 a^6 c^6 u^3 v^3 w^3 x^2 y^3 z -
 62 a^4 b^2 c^6 u^3 v^3 w^3 x^2 y^3 z +
 150 a^2 b^4 c^6 u^3 v^3 w^3 x^2 y^3 z -
 102 b^6 c^6 u^3 v^3 w^3 x^2 y^3 z +
 28 a^4 c^8 u^3 v^3 w^3 x^2 y^3 z -
 84 a^2 b^2 c^8 u^3 v^3 w^3 x^2 y^3 z +
 28 b^4 c^8 u^3 v^3 w^3 x^2 y^3 z +
 5 a^2 c^10 u^3 v^3 w^3 x^2 y^3 z +
 29 b^2 c^10 u^3 v^3 w^3 x^2 y^3 z - 15 c^12 u^3 v^3 w^3 x^2 y^3 z +
 3 a^12 u^2 v^4 w^3 x^2 y^3 z - 14 a^10 b^2 u^2 v^4 w^3 x^2 y^3 z +
 25 a^8 b^4 u^2 v^4 w^3 x^2 y^3 z -
 20 a^6 b^6 u^2 v^4 w^3 x^2 y^3 z + 5 a^4 b^8 u^2 v^4 w^3 x^2 y^3 z +
 2 a^2 b^10 u^2 v^4 w^3 x^2 y^3 z - b^12 u^2 v^4 w^3 x^2 y^3 z +
 28 a^10 c^2 u^2 v^4 w^3 x^2 y^3 z -
 48 a^8 b^2 c^2 u^2 v^4 w^3 x^2 y^3 z -
 18 a^6 b^4 c^2 u^2 v^4 w^3 x^2 y^3 z +
 62 a^4 b^6 c^2 u^2 v^4 w^3 x^2 y^3 z -
 18 a^2 b^8 c^2 u^2 v^4 w^3 x^2 y^3 z -
 6 b^10 c^2 u^2 v^4 w^3 x^2 y^3 z -
 25 a^8 c^4 u^2 v^4 w^3 x^2 y^3 z +
 92 a^6 b^2 c^4 u^2 v^4 w^3 x^2 y^3 z -
 120 a^4 b^4 c^4 u^2 v^4 w^3 x^2 y^3 z +
 8 a^2 b^6 c^4 u^2 v^4 w^3 x^2 y^3 z +
 45 b^8 c^4 u^2 v^4 w^3 x^2 y^3 z +
 10 a^6 c^6 u^2 v^4 w^3 x^2 y^3 z +
 114 a^4 b^2 c^6 u^2 v^4 w^3 x^2 y^3 z +
 64 a^2 b^4 c^6 u^2 v^4 w^3 x^2 y^3 z -
 100 b^6 c^6 u^2 v^4 w^3 x^2 y^3 z -
 61 a^4 c^8 u^2 v^4 w^3 x^2 y^3 z -
 90 a^2 b^2 c^8 u^2 v^4 w^3 x^2 y^3 z +
 105 b^4 c^8 u^2 v^4 w^3 x^2 y^3 z +
 34 a^2 c^10 u^2 v^4 w^3 x^2 y^3 z -
 54 b^2 c^10 u^2 v^4 w^3 x^2 y^3 z + 11 c^12 u^2 v^4 w^3 x^2 y^3 z -
 a^12 u v^5 w^3 x^2 y^3 z + 3 a^10 b^2 u v^5 w^3 x^2 y^3 z -
 10 a^6 b^6 u v^5 w^3 x^2 y^3 z + 15 a^4 b^8 u v^5 w^3 x^2 y^3 z -
 9 a^2 b^10 u v^5 w^3 x^2 y^3 z + 2 b^12 u v^5 w^3 x^2 y^3 z -
 5 a^10 c^2 u v^5 w^3 x^2 y^3 z +
 10 a^8 b^2 c^2 u v^5 w^3 x^2 y^3 z +
 12 a^6 b^4 c^2 u v^5 w^3 x^2 y^3 z -
 46 a^4 b^6 c^2 u v^5 w^3 x^2 y^3 z +
 41 a^2 b^8 c^2 u v^5 w^3 x^2 y^3 z -
 12 b^10 c^2 u v^5 w^3 x^2 y^3 z - 22 a^8 c^4 u v^5 w^3 x^2 y^3 z +
 22 a^6 b^2 c^4 u v^5 w^3 x^2 y^3 z +
 44 a^4 b^4 c^4 u v^5 w^3 x^2 y^3 z -
 74 a^2 b^6 c^4 u v^5 w^3 x^2 y^3 z +
 30 b^8 c^4 u v^5 w^3 x^2 y^3 z + 24 a^6 c^6 u v^5 w^3 x^2 y^3 z -
 10 a^4 b^2 c^6 u v^5 w^3 x^2 y^3 z +
 66 a^2 b^4 c^6 u v^5 w^3 x^2 y^3 z -
 40 b^6 c^6 u v^5 w^3 x^2 y^3 z - 3 a^4 c^8 u v^5 w^3 x^2 y^3 z -
 29 a^2 b^2 c^8 u v^5 w^3 x^2 y^3 z +
 30 b^4 c^8 u v^5 w^3 x^2 y^3 z + 5 a^2 c^10 u v^5 w^3 x^2 y^3 z -
 12 b^2 c^10 u v^5 w^3 x^2 y^3 z + 2 c^12 u v^5 w^3 x^2 y^3 z -
 4 a^10 c^2 v^6 w^3 x^2 y^3 z + 12 a^8 b^2 c^2 v^6 w^3 x^2 y^3 z -
 12 a^6 b^4 c^2 v^6 w^3 x^2 y^3 z + 4 a^4 b^6 c^2 v^6 w^3 x^2 y^3 z -
 12 a^8 c^4 v^6 w^3 x^2 y^3 z + 24 a^6 b^2 c^4 v^6 w^3 x^2 y^3 z -
 12 a^4 b^4 c^4 v^6 w^3 x^2 y^3 z - 12 a^6 c^6 v^6 w^3 x^2 y^3 z +
 12 a^4 b^2 c^6 v^6 w^3 x^2 y^3 z - 4 a^4 c^8 v^6 w^3 x^2 y^3 z -
 a^8 b^4 u^5 w^4 x^2 y^3 z + 4 a^6 b^6 u^5 w^4 x^2 y^3 z -
 6 a^4 b^8 u^5 w^4 x^2 y^3 z + 4 a^2 b^10 u^5 w^4 x^2 y^3 z -
 b^12 u^5 w^4 x^2 y^3 z + 4 a^6 b^4 c^2 u^5 w^4 x^2 y^3 z -
 12 a^2 b^8 c^2 u^5 w^4 x^2 y^3 z + 8 b^10 c^2 u^5 w^4 x^2 y^3 z +
 6 a^4 b^4 c^4 u^5 w^4 x^2 y^3 z + 12 a^2 b^6 c^4 u^5 w^4 x^2 y^3 z -
 2 b^8 c^4 u^5 w^4 x^2 y^3 z - 20 a^2 b^4 c^6 u^5 w^4 x^2 y^3 z -
 16 b^6 c^6 u^5 w^4 x^2 y^3 z + 11 b^4 c^8 u^5 w^4 x^2 y^3 z -
 8 a^12 u^4 v w^4 x^2 y^3 z + 23 a^10 b^2 u^4 v w^4 x^2 y^3 z -
 20 a^8 b^4 u^4 v w^4 x^2 y^3 z + 10 a^6 b^6 u^4 v w^4 x^2 y^3 z -
 20 a^4 b^8 u^4 v w^4 x^2 y^3 z + 23 a^2 b^10 u^4 v w^4 x^2 y^3 z -
 8 b^12 u^4 v w^4 x^2 y^3 z + 39 a^10 c^2 u^4 v w^4 x^2 y^3 z -
 92 a^8 b^2 c^2 u^4 v w^4 x^2 y^3 z +
 34 a^6 b^4 c^2 u^4 v w^4 x^2 y^3 z +
 56 a^4 b^6 c^2 u^4 v w^4 x^2 y^3 z -
 41 a^2 b^8 c^2 u^4 v w^4 x^2 y^3 z +
 4 b^10 c^2 u^4 v w^4 x^2 y^3 z - 75 a^8 c^4 u^4 v w^4 x^2 y^3 z +
 138 a^6 b^2 c^4 u^4 v w^4 x^2 y^3 z -
 42 a^4 b^4 c^4 u^4 v w^4 x^2 y^3 z -
 22 a^2 b^6 c^4 u^4 v w^4 x^2 y^3 z +
 33 b^8 c^4 u^4 v w^4 x^2 y^3 z + 70 a^6 c^6 u^4 v w^4 x^2 y^3 z -
 92 a^4 b^2 c^6 u^4 v w^4 x^2 y^3 z +
 14 a^2 b^4 c^6 u^4 v w^4 x^2 y^3 z -
 44 b^6 c^6 u^4 v w^4 x^2 y^3 z - 30 a^4 c^8 u^4 v w^4 x^2 y^3 z +
 23 a^2 b^2 c^8 u^4 v w^4 x^2 y^3 z +
 14 b^4 c^8 u^4 v w^4 x^2 y^3 z + 3 a^2 c^10 u^4 v w^4 x^2 y^3 z +
 c^12 u^4 v w^4 x^2 y^3 z - 13 a^12 u^3 v^2 w^4 x^2 y^3 z +
 45 a^10 b^2 u^3 v^2 w^4 x^2 y^3 z -
 57 a^8 b^4 u^3 v^2 w^4 x^2 y^3 z +
 38 a^6 b^6 u^3 v^2 w^4 x^2 y^3 z -
 27 a^4 b^8 u^3 v^2 w^4 x^2 y^3 z +
 21 a^2 b^10 u^3 v^2 w^4 x^2 y^3 z - 7 b^12 u^3 v^2 w^4 x^2 y^3 z +
 48 a^10 c^2 u^3 v^2 w^4 x^2 y^3 z -
 129 a^8 b^2 c^2 u^3 v^2 w^4 x^2 y^3 z +
 48 a^6 b^4 c^2 u^3 v^2 w^4 x^2 y^3 z +
 94 a^4 b^6 c^2 u^3 v^2 w^4 x^2 y^3 z -
 56 a^2 b^8 c^2 u^3 v^2 w^4 x^2 y^3 z -
 5 b^10 c^2 u^3 v^2 w^4 x^2 y^3 z -
 75 a^8 c^4 u^3 v^2 w^4 x^2 y^3 z +
 66 a^6 b^2 c^4 u^3 v^2 w^4 x^2 y^3 z -
 118 a^4 b^4 c^4 u^3 v^2 w^4 x^2 y^3 z +
 50 a^2 b^6 c^4 u^3 v^2 w^4 x^2 y^3 z +
 77 b^8 c^4 u^3 v^2 w^4 x^2 y^3 z +
 80 a^6 c^6 u^3 v^2 w^4 x^2 y^3 z +
 94 a^4 b^2 c^6 u^3 v^2 w^4 x^2 y^3 z +
 32 a^2 b^4 c^6 u^3 v^2 w^4 x^2 y^3 z -
 118 b^6 c^6 u^3 v^2 w^4 x^2 y^3 z -
 75 a^4 c^8 u^3 v^2 w^4 x^2 y^3 z -
 95 a^2 b^2 c^8 u^3 v^2 w^4 x^2 y^3 z +
 47 b^4 c^8 u^3 v^2 w^4 x^2 y^3 z +
 48 a^2 c^10 u^3 v^2 w^4 x^2 y^3 z +
 19 b^2 c^10 u^3 v^2 w^4 x^2 y^3 z - 13 c^12 u^3 v^2 w^4 x^2 y^3 z +
 a^12 u^2 v^3 w^4 x^2 y^3 z + 9 a^10 b^2 u^2 v^3 w^4 x^2 y^3 z -
 40 a^8 b^4 u^2 v^3 w^4 x^2 y^3 z +
 50 a^6 b^6 u^2 v^3 w^4 x^2 y^3 z -
 15 a^4 b^8 u^2 v^3 w^4 x^2 y^3 z -
 11 a^2 b^10 u^2 v^3 w^4 x^2 y^3 z + 6 b^12 u^2 v^3 w^4 x^2 y^3 z +
 21 a^10 c^2 u^2 v^3 w^4 x^2 y^3 z -
 28 a^8 b^2 c^2 u^2 v^3 w^4 x^2 y^3 z -
 54 a^6 b^4 c^2 u^2 v^3 w^4 x^2 y^3 z +
 72 a^4 b^6 c^2 u^2 v^3 w^4 x^2 y^3 z +
 25 a^2 b^8 c^2 u^2 v^3 w^4 x^2 y^3 z -
 36 b^10 c^2 u^2 v^3 w^4 x^2 y^3 z -
 84 a^8 c^4 u^2 v^3 w^4 x^2 y^3 z +
 6 a^6 b^2 c^4 u^2 v^3 w^4 x^2 y^3 z -
 38 a^4 b^4 c^4 u^2 v^3 w^4 x^2 y^3 z -
 6 a^2 b^6 c^4 u^2 v^3 w^4 x^2 y^3 z +
 90 b^8 c^4 u^2 v^3 w^4 x^2 y^3 z +
 110 a^6 c^6 u^2 v^3 w^4 x^2 y^3 z +
 32 a^4 b^2 c^6 u^2 v^3 w^4 x^2 y^3 z -
 22 a^2 b^4 c^6 u^2 v^3 w^4 x^2 y^3 z -
 120 b^6 c^6 u^2 v^3 w^4 x^2 y^3 z -
 51 a^4 c^8 u^2 v^3 w^4 x^2 y^3 z +
 17 a^2 b^2 c^8 u^2 v^3 w^4 x^2 y^3 z +
 90 b^4 c^8 u^2 v^3 w^4 x^2 y^3 z -
 3 a^2 c^10 u^2 v^3 w^4 x^2 y^3 z -
 36 b^2 c^10 u^2 v^3 w^4 x^2 y^3 z + 6 c^12 u^2 v^3 w^4 x^2 y^3 z +
 9 a^12 u v^4 w^4 x^2 y^3 z - 25 a^10 b^2 u v^4 w^4 x^2 y^3 z +
 16 a^8 b^4 u v^4 w^4 x^2 y^3 z + 6 a^6 b^6 u v^4 w^4 x^2 y^3 z +
 a^4 b^8 u v^4 w^4 x^2 y^3 z - 13 a^2 b^10 u v^4 w^4 x^2 y^3 z +
 6 b^12 u v^4 w^4 x^2 y^3 z + 21 a^10 c^2 u v^4 w^4 x^2 y^3 z -
 16 a^8 b^2 c^2 u v^4 w^4 x^2 y^3 z -
 46 a^6 b^4 c^2 u v^4 w^4 x^2 y^3 z +
 20 a^4 b^6 c^2 u v^4 w^4 x^2 y^3 z +
 57 a^2 b^8 c^2 u v^4 w^4 x^2 y^3 z -
 36 b^10 c^2 u v^4 w^4 x^2 y^3 z - 44 a^8 c^4 u v^4 w^4 x^2 y^3 z +
 82 a^6 b^2 c^4 u v^4 w^4 x^2 y^3 z -
 46 a^4 b^4 c^4 u v^4 w^4 x^2 y^3 z -
 98 a^2 b^6 c^4 u v^4 w^4 x^2 y^3 z +
 90 b^8 c^4 u v^4 w^4 x^2 y^3 z + 6 a^6 c^6 u v^4 w^4 x^2 y^3 z +
 28 a^4 b^2 c^6 u v^4 w^4 x^2 y^3 z +
 82 a^2 b^4 c^6 u v^4 w^4 x^2 y^3 z -
 120 b^6 c^6 u v^4 w^4 x^2 y^3 z - 3 a^4 c^8 u v^4 w^4 x^2 y^3 z -
 33 a^2 b^2 c^8 u v^4 w^4 x^2 y^3 z +
 90 b^4 c^8 u v^4 w^4 x^2 y^3 z + 5 a^2 c^10 u v^4 w^4 x^2 y^3 z -
 36 b^2 c^10 u v^4 w^4 x^2 y^3 z + 6 c^12 u v^4 w^4 x^2 y^3 z +
 3 a^12 v^5 w^4 x^2 y^3 z - 12 a^10 b^2 v^5 w^4 x^2 y^3 z +
 18 a^8 b^4 v^5 w^4 x^2 y^3 z - 12 a^6 b^6 v^5 w^4 x^2 y^3 z +
 3 a^4 b^8 v^5 w^4 x^2 y^3 z + 8 a^10 c^2 v^5 w^4 x^2 y^3 z -
 20 a^8 b^2 c^2 v^5 w^4 x^2 y^3 z +
 16 a^6 b^4 c^2 v^5 w^4 x^2 y^3 z - 4 a^4 b^6 c^2 v^5 w^4 x^2 y^3 z +
 2 a^8 c^4 v^5 w^4 x^2 y^3 z + 4 a^6 b^2 c^4 v^5 w^4 x^2 y^3 z -
 6 a^4 b^4 c^4 v^5 w^4 x^2 y^3 z - 8 a^6 c^6 v^5 w^4 x^2 y^3 z +
 12 a^4 b^2 c^6 v^5 w^4 x^2 y^3 z - 5 a^4 c^8 v^5 w^4 x^2 y^3 z +
 a^8 b^4 u^4 w^5 x^2 y^3 z - 6 a^4 b^8 u^4 w^5 x^2 y^3 z +
 8 a^2 b^10 u^4 w^5 x^2 y^3 z - 3 b^12 u^4 w^5 x^2 y^3 z +
 14 a^6 b^4 c^2 u^4 w^5 x^2 y^3 z + 6 a^4 b^6 c^2 u^4 w^5 x^2 y^3 z -
 22 a^2 b^8 c^2 u^4 w^5 x^2 y^3 z + 2 b^10 c^2 u^4 w^5 x^2 y^3 z -
 24 a^4 b^4 c^4 u^4 w^5 x^2 y^3 z +
 12 a^2 b^6 c^4 u^4 w^5 x^2 y^3 z + 12 b^8 c^4 u^4 w^5 x^2 y^3 z +
 2 a^2 b^4 c^6 u^4 w^5 x^2 y^3 z - 18 b^6 c^6 u^4 w^5 x^2 y^3 z +
 7 b^4 c^8 u^4 w^5 x^2 y^3 z - 7 a^12 u^3 v w^5 x^2 y^3 z +
 11 a^10 b^2 u^3 v w^5 x^2 y^3 z - 4 a^8 b^4 u^3 v w^5 x^2 y^3 z +
 16 a^6 b^6 u^3 v w^5 x^2 y^3 z - 29 a^4 b^8 u^3 v w^5 x^2 y^3 z +
 13 a^2 b^10 u^3 v w^5 x^2 y^3 z + 39 a^10 c^2 u^3 v w^5 x^2 y^3 z -
 24 a^8 b^2 c^2 u^3 v w^5 x^2 y^3 z -
 8 a^6 b^4 c^2 u^3 v w^5 x^2 y^3 z +
 28 a^4 b^6 c^2 u^3 v w^5 x^2 y^3 z -
 27 a^2 b^8 c^2 u^3 v w^5 x^2 y^3 z -
 8 b^10 c^2 u^3 v w^5 x^2 y^3 z - 90 a^8 c^4 u^3 v w^5 x^2 y^3 z -
 2 a^6 b^2 c^4 u^3 v w^5 x^2 y^3 z +
 20 a^4 b^4 c^4 u^3 v w^5 x^2 y^3 z +
 36 a^2 b^6 c^4 u^3 v w^5 x^2 y^3 z +
 28 b^8 c^4 u^3 v w^5 x^2 y^3 z + 110 a^6 c^6 u^3 v w^5 x^2 y^3 z +
 40 a^4 b^2 c^6 u^3 v w^5 x^2 y^3 z -
 16 a^2 b^4 c^6 u^3 v w^5 x^2 y^3 z -
 32 b^6 c^6 u^3 v w^5 x^2 y^3 z - 75 a^4 c^8 u^3 v w^5 x^2 y^3 z -
 33 a^2 b^2 c^8 u^3 v w^5 x^2 y^3 z + 8 b^4 c^8 u^3 v w^5 x^2 y^3 z +
 27 a^2 c^10 u^3 v w^5 x^2 y^3 z + 8 b^2 c^10 u^3 v w^5 x^2 y^3 z -
 4 c^12 u^3 v w^5 x^2 y^3 z - 16 a^12 u^2 v^2 w^5 x^2 y^3 z +
 24 a^10 b^2 u^2 v^2 w^5 x^2 y^3 z -
 5 a^8 b^4 u^2 v^2 w^5 x^2 y^3 z + 22 a^6 b^6 u^2 v^2 w^5 x^2 y^3 z -
 36 a^4 b^8 u^2 v^2 w^5 x^2 y^3 z +
 2 a^2 b^10 u^2 v^2 w^5 x^2 y^3 z + 9 b^12 u^2 v^2 w^5 x^2 y^3 z +
 65 a^10 c^2 u^2 v^2 w^5 x^2 y^3 z -
 67 a^8 b^2 c^2 u^2 v^2 w^5 x^2 y^3 z -
 40 a^6 b^4 c^2 u^2 v^2 w^5 x^2 y^3 z +
 98 a^4 b^6 c^2 u^2 v^2 w^5 x^2 y^3 z -
 13 a^2 b^8 c^2 u^2 v^2 w^5 x^2 y^3 z -
 43 b^10 c^2 u^2 v^2 w^5 x^2 y^3 z -
 102 a^8 c^4 u^2 v^2 w^5 x^2 y^3 z +
 44 a^6 b^2 c^4 u^2 v^2 w^5 x^2 y^3 z -
 48 a^4 b^4 c^4 u^2 v^2 w^5 x^2 y^3 z +
 18 a^2 b^6 c^4 u^2 v^2 w^5 x^2 y^3 z +
 80 b^8 c^4 u^2 v^2 w^5 x^2 y^3 z +
 78 a^6 c^6 u^2 v^2 w^5 x^2 y^3 z +
 18 a^4 b^2 c^6 u^2 v^2 w^5 x^2 y^3 z +
 4 a^2 b^4 c^6 u^2 v^2 w^5 x^2 y^3 z -
 70 b^6 c^6 u^2 v^2 w^5 x^2 y^3 z -
 32 a^4 c^8 u^2 v^2 w^5 x^2 y^3 z -
 20 a^2 b^2 c^8 u^2 v^2 w^5 x^2 y^3 z +
 25 b^4 c^8 u^2 v^2 w^5 x^2 y^3 z + 9 a^2 c^10 u^2 v^2 w^5 x^2 y^3 z +
  b^2 c^10 u^2 v^2 w^5 x^2 y^3 z - 2 c^12 u^2 v^2 w^5 x^2 y^3 z -
 11 a^12 u v^3 w^5 x^2 y^3 z + 15 a^10 b^2 u v^3 w^5 x^2 y^3 z +
 6 a^8 b^4 u v^3 w^5 x^2 y^3 z - 4 a^6 b^6 u v^3 w^5 x^2 y^3 z -
 9 a^4 b^8 u v^3 w^5 x^2 y^3 z - 3 a^2 b^10 u v^3 w^5 x^2 y^3 z +
 6 b^12 u v^3 w^5 x^2 y^3 z + 27 a^10 c^2 u v^3 w^5 x^2 y^3 z -
 50 a^8 b^2 c^2 u v^3 w^5 x^2 y^3 z +
 6 a^6 b^4 c^2 u v^3 w^5 x^2 y^3 z +
 50 a^4 b^6 c^2 u v^3 w^5 x^2 y^3 z +
 3 a^2 b^8 c^2 u v^3 w^5 x^2 y^3 z -
 36 b^10 c^2 u v^3 w^5 x^2 y^3 z - 24 a^8 c^4 u v^3 w^5 x^2 y^3 z -
 76 a^4 b^4 c^4 u v^3 w^5 x^2 y^3 z +
 18 a^2 b^6 c^4 u v^3 w^5 x^2 y^3 z +
 90 b^8 c^4 u v^3 w^5 x^2 y^3 z + 14 a^6 c^6 u v^3 w^5 x^2 y^3 z +
 38 a^4 b^2 c^6 u v^3 w^5 x^2 y^3 z -
 42 a^2 b^4 c^6 u v^3 w^5 x^2 y^3 z -
 120 b^6 c^6 u v^3 w^5 x^2 y^3 z - 3 a^4 c^8 u v^3 w^5 x^2 y^3 z +
 33 a^2 b^2 c^8 u v^3 w^5 x^2 y^3 z +
 90 b^4 c^8 u v^3 w^5 x^2 y^3 z - 9 a^2 c^10 u v^3 w^5 x^2 y^3 z -
 36 b^2 c^10 u v^3 w^5 x^2 y^3 z + 6 c^12 u v^3 w^5 x^2 y^3 z -
 2 a^12 v^4 w^5 x^2 y^3 z + 2 a^10 b^2 v^4 w^5 x^2 y^3 z +
 6 a^8 b^4 v^4 w^5 x^2 y^3 z - 10 a^6 b^6 v^4 w^5 x^2 y^3 z +
 4 a^4 b^8 v^4 w^5 x^2 y^3 z + 2 a^10 c^2 v^4 w^5 x^2 y^3 z -
 8 a^8 b^2 c^2 v^4 w^5 x^2 y^3 z + 18 a^6 b^4 c^2 v^4 w^5 x^2 y^3 z -
 12 a^4 b^6 c^2 v^4 w^5 x^2 y^3 z + 2 a^8 c^4 v^4 w^5 x^2 y^3 z -
 6 a^6 b^2 c^4 v^4 w^5 x^2 y^3 z + 12 a^4 b^4 c^4 v^4 w^5 x^2 y^3 z -
 2 a^6 c^6 v^4 w^5 x^2 y^3 z - 4 a^4 b^2 c^6 v^4 w^5 x^2 y^3 z +
 5 a^8 b^4 u^3 w^6 x^2 y^3 z - 4 a^6 b^6 u^3 w^6 x^2 y^3 z -
 6 a^4 b^8 u^3 w^6 x^2 y^3 z + 4 a^2 b^10 u^3 w^6 x^2 y^3 z +
 b^12 u^3 w^6 x^2 y^3 z - 4 a^6 b^4 c^2 u^3 w^6 x^2 y^3 z +
 12 a^4 b^6 c^2 u^3 w^6 x^2 y^3 z - 4 a^2 b^8 c^2 u^3 w^6 x^2 y^3 z -
 4 b^10 c^2 u^3 w^6 x^2 y^3 z - 6 a^4 b^4 c^4 u^3 w^6 x^2 y^3 z -
 4 a^2 b^6 c^4 u^3 w^6 x^2 y^3 z + 6 b^8 c^4 u^3 w^6 x^2 y^3 z +
 4 a^2 b^4 c^6 u^3 w^6 x^2 y^3 z - 4 b^6 c^6 u^3 w^6 x^2 y^3 z +
 b^4 c^8 u^3 w^6 x^2 y^3 z - 2 a^12 u^2 v w^6 x^2 y^3 z +
 7 a^10 b^2 u^2 v w^6 x^2 y^3 z + a^8 b^4 u^2 v w^6 x^2 y^3 z -
 4 a^6 b^6 u^2 v w^6 x^2 y^3 z - 10 a^4 b^8 u^2 v w^6 x^2 y^3 z +
 5 a^2 b^10 u^2 v w^6 x^2 y^3 z + 3 b^12 u^2 v w^6 x^2 y^3 z +
 12 a^10 c^2 u^2 v w^6 x^2 y^3 z -
 11 a^8 b^2 c^2 u^2 v w^6 x^2 y^3 z +
 12 a^6 b^4 c^2 u^2 v w^6 x^2 y^3 z +
 20 a^4 b^6 c^2 u^2 v w^6 x^2 y^3 z -
 20 a^2 b^8 c^2 u^2 v w^6 x^2 y^3 z -
 13 b^10 c^2 u^2 v w^6 x^2 y^3 z - 30 a^8 c^4 u^2 v w^6 x^2 y^3 z -
 16 a^6 b^2 c^4 u^2 v w^6 x^2 y^3 z -
 24 a^4 b^4 c^4 u^2 v w^6 x^2 y^3 z +
 18 a^2 b^6 c^4 u^2 v w^6 x^2 y^3 z +
 20 b^8 c^4 u^2 v w^6 x^2 y^3 z + 40 a^6 c^6 u^2 v w^6 x^2 y^3 z +
 44 a^4 b^2 c^6 u^2 v w^6 x^2 y^3 z +
 16 a^2 b^4 c^6 u^2 v w^6 x^2 y^3 z -
 10 b^6 c^6 u^2 v w^6 x^2 y^3 z - 30 a^4 c^8 u^2 v w^6 x^2 y^3 z -
 31 a^2 b^2 c^8 u^2 v w^6 x^2 y^3 z - 5 b^4 c^8 u^2 v w^6 x^2 y^3 z +
 12 a^2 c^10 u^2 v w^6 x^2 y^3 z + 7 b^2 c^10 u^2 v w^6 x^2 y^3 z -
 2 c^12 u^2 v w^6 x^2 y^3 z - 3 a^12 u v^2 w^6 x^2 y^3 z +
 9 a^10 b^2 u v^2 w^6 x^2 y^3 z - 4 a^8 b^4 u v^2 w^6 x^2 y^3 z -
 2 a^6 b^6 u v^2 w^6 x^2 y^3 z - 3 a^4 b^8 u v^2 w^6 x^2 y^3 z +
 a^2 b^10 u v^2 w^6 x^2 y^3 z + 2 b^12 u v^2 w^6 x^2 y^3 z +
 13 a^10 c^2 u v^2 w^6 x^2 y^3 z -
 4 a^8 b^2 c^2 u v^2 w^6 x^2 y^3 z +
 6 a^6 b^4 c^2 u v^2 w^6 x^2 y^3 z +
 8 a^4 b^6 c^2 u v^2 w^6 x^2 y^3 z -
 11 a^2 b^8 c^2 u v^2 w^6 x^2 y^3 z -
 12 b^10 c^2 u v^2 w^6 x^2 y^3 z - 20 a^8 c^4 u v^2 w^6 x^2 y^3 z -
 14 a^6 b^2 c^4 u v^2 w^6 x^2 y^3 z -
 2 a^4 b^4 c^4 u v^2 w^6 x^2 y^3 z +
 34 a^2 b^6 c^4 u v^2 w^6 x^2 y^3 z +
 30 b^8 c^4 u v^2 w^6 x^2 y^3 z + 10 a^6 c^6 u v^2 w^6 x^2 y^3 z -
 8 a^4 b^2 c^6 u v^2 w^6 x^2 y^3 z -
 46 a^2 b^4 c^6 u v^2 w^6 x^2 y^3 z -
 40 b^6 c^6 u v^2 w^6 x^2 y^3 z + 5 a^4 c^8 u v^2 w^6 x^2 y^3 z +
 29 a^2 b^2 c^8 u v^2 w^6 x^2 y^3 z +
 30 b^4 c^8 u v^2 w^6 x^2 y^3 z - 7 a^2 c^10 u v^2 w^6 x^2 y^3 z -
 12 b^2 c^10 u v^2 w^6 x^2 y^3 z + 2 c^12 u v^2 w^6 x^2 y^3 z -
 a^12 v^3 w^6 x^2 y^3 z + 2 a^10 b^2 v^3 w^6 x^2 y^3 z -
 2 a^6 b^6 v^3 w^6 x^2 y^3 z + a^4 b^8 v^3 w^6 x^2 y^3 z +
 2 a^10 c^2 v^3 w^6 x^2 y^3 z + 2 a^6 b^4 c^2 v^3 w^6 x^2 y^3 z -
 4 a^4 b^6 c^2 v^3 w^6 x^2 y^3 z + 2 a^6 b^2 c^4 v^3 w^6 x^2 y^3 z +
 6 a^4 b^4 c^4 v^3 w^6 x^2 y^3 z - 2 a^6 c^6 v^3 w^6 x^2 y^3 z -
 4 a^4 b^2 c^6 v^3 w^6 x^2 y^3 z + a^4 c^8 v^3 w^6 x^2 y^3 z -
 a^8 c^4 u^6 v^3 x y^4 z + 4 a^6 b^2 c^4 u^6 v^3 x y^4 z -
 6 a^4 b^4 c^4 u^6 v^3 x y^4 z + 4 a^2 b^6 c^4 u^6 v^3 x y^4 z -
 b^8 c^4 u^6 v^3 x y^4 z + 2 a^4 c^8 u^6 v^3 x y^4 z -
 4 a^2 b^2 c^8 u^6 v^3 x y^4 z + 2 b^4 c^8 u^6 v^3 x y^4 z -
 c^12 u^6 v^3 x y^4 z - 2 a^8 c^4 u^5 v^4 x y^4 z +
 8 a^6 b^2 c^4 u^5 v^4 x y^4 z - 12 a^4 b^4 c^4 u^5 v^4 x y^4 z +
 8 a^2 b^6 c^4 u^5 v^4 x y^4 z - 2 b^8 c^4 u^5 v^4 x y^4 z -
 4 a^6 c^6 u^5 v^4 x y^4 z + 12 a^4 b^2 c^6 u^5 v^4 x y^4 z -
 12 a^2 b^4 c^6 u^5 v^4 x y^4 z + 4 b^6 c^6 u^5 v^4 x y^4 z +
 4 a^2 c^10 u^5 v^4 x y^4 z - 4 b^2 c^10 u^5 v^4 x y^4 z +
 2 c^12 u^5 v^4 x y^4 z - a^8 c^4 u^4 v^5 x y^4 z +
 4 a^6 b^2 c^4 u^4 v^5 x y^4 z - 6 a^4 b^4 c^4 u^4 v^5 x y^4 z +
 4 a^2 b^6 c^4 u^4 v^5 x y^4 z - b^8 c^4 u^4 v^5 x y^4 z -
 4 a^6 c^6 u^4 v^5 x y^4 z + 12 a^4 b^2 c^6 u^4 v^5 x y^4 z -
 12 a^2 b^4 c^6 u^4 v^5 x y^4 z + 4 b^6 c^6 u^4 v^5 x y^4 z -
 6 a^4 c^8 u^4 v^5 x y^4 z + 12 a^2 b^2 c^8 u^4 v^5 x y^4 z -
 6 b^4 c^8 u^4 v^5 x y^4 z - 4 a^2 c^10 u^4 v^5 x y^4 z +
 4 b^2 c^10 u^4 v^5 x y^4 z - c^12 u^4 v^5 x y^4 z +
 3 a^10 c^2 u^6 v^2 w x y^4 z - 15 a^8 b^2 c^2 u^6 v^2 w x y^4 z +
 30 a^6 b^4 c^2 u^6 v^2 w x y^4 z -
 30 a^4 b^6 c^2 u^6 v^2 w x y^4 z +
 15 a^2 b^8 c^2 u^6 v^2 w x y^4 z - 3 b^10 c^2 u^6 v^2 w x y^4 z -
 2 a^8 c^4 u^6 v^2 w x y^4 z + 6 a^6 b^2 c^4 u^6 v^2 w x y^4 z -
 6 a^4 b^4 c^4 u^6 v^2 w x y^4 z + 2 a^2 b^6 c^4 u^6 v^2 w x y^4 z -
 10 a^6 c^6 u^6 v^2 w x y^4 z + 16 a^4 b^2 c^6 u^6 v^2 w x y^4 z -
 10 a^2 b^4 c^6 u^6 v^2 w x y^4 z + 4 b^6 c^6 u^6 v^2 w x y^4 z +
 12 a^4 c^8 u^6 v^2 w x y^4 z - 6 a^2 b^2 c^8 u^6 v^2 w x y^4 z +
 2 b^4 c^8 u^6 v^2 w x y^4 z - a^2 c^10 u^6 v^2 w x y^4 z -
 b^2 c^10 u^6 v^2 w x y^4 z - 2 c^12 u^6 v^2 w x y^4 z +
 7 a^10 c^2 u^5 v^3 w x y^4 z - 35 a^8 b^2 c^2 u^5 v^3 w x y^4 z +
 70 a^6 b^4 c^2 u^5 v^3 w x y^4 z -
 70 a^4 b^6 c^2 u^5 v^3 w x y^4 z +
 35 a^2 b^8 c^2 u^5 v^3 w x y^4 z - 7 b^10 c^2 u^5 v^3 w x y^4 z +
 3 a^8 c^4 u^5 v^3 w x y^4 z - 22 a^6 b^2 c^4 u^5 v^3 w x y^4 z +
 48 a^4 b^4 c^4 u^5 v^3 w x y^4 z -
 42 a^2 b^6 c^4 u^5 v^3 w x y^4 z + 13 b^8 c^4 u^5 v^3 w x y^4 z -
 22 a^6 c^6 u^5 v^3 w x y^4 z + 20 a^4 b^2 c^6 u^5 v^3 w x y^4 z +
 2 a^2 b^4 c^6 u^5 v^3 w x y^4 z + 10 a^4 c^8 u^5 v^3 w x y^4 z +
 6 a^2 b^2 c^8 u^5 v^3 w x y^4 z - 8 b^4 c^8 u^5 v^3 w x y^4 z -
 a^2 c^10 u^5 v^3 w x y^4 z - b^2 c^10 u^5 v^3 w x y^4 z +
 3 c^12 u^5 v^3 w x y^4 z + 5 a^10 c^2 u^4 v^4 w x y^4 z -
 25 a^8 b^2 c^2 u^4 v^4 w x y^4 z +
 50 a^6 b^4 c^2 u^4 v^4 w x y^4 z -
 50 a^4 b^6 c^2 u^4 v^4 w x y^4 z +
 25 a^2 b^8 c^2 u^4 v^4 w x y^4 z - 5 b^10 c^2 u^4 v^4 w x y^4 z +
 4 a^8 c^4 u^4 v^4 w x y^4 z - 30 a^6 b^2 c^4 u^4 v^4 w x y^4 z +
 66 a^4 b^4 c^4 u^4 v^4 w x y^4 z -
 58 a^2 b^6 c^4 u^4 v^4 w x y^4 z + 18 b^8 c^4 u^4 v^4 w x y^4 z -
 20 a^6 c^6 u^4 v^4 w x y^4 z - 6 a^4 b^2 c^6 u^4 v^4 w x y^4 z +
 48 a^2 b^4 c^6 u^4 v^4 w x y^4 z - 22 b^6 c^6 u^4 v^4 w x y^4 z +
 6 a^4 c^8 u^4 v^4 w x y^4 z - 22 a^2 b^2 c^8 u^4 v^4 w x y^4 z +
 8 b^4 c^8 u^4 v^4 w x y^4 z + 7 a^2 c^10 u^4 v^4 w x y^4 z +
 3 b^2 c^10 u^4 v^4 w x y^4 z - 2 c^12 u^4 v^4 w x y^4 z +
 a^10 c^2 u^3 v^5 w x y^4 z - 5 a^8 b^2 c^2 u^3 v^5 w x y^4 z +
 10 a^6 b^4 c^2 u^3 v^5 w x y^4 z -
 10 a^4 b^6 c^2 u^3 v^5 w x y^4 z + 5 a^2 b^8 c^2 u^3 v^5 w x y^4 z -
 b^10 c^2 u^3 v^5 w x y^4 z - a^8 c^4 u^3 v^5 w x y^4 z -
 2 a^6 b^2 c^4 u^3 v^5 w x y^4 z + 12 a^4 b^4 c^4 u^3 v^5 w x y^4 z -
 14 a^2 b^6 c^4 u^3 v^5 w x y^4 z + 5 b^8 c^4 u^3 v^5 w x y^4 z -
 16 a^6 c^6 u^3 v^5 w x y^4 z + 14 a^4 b^2 c^6 u^3 v^5 w x y^4 z +
 12 a^2 b^4 c^6 u^3 v^5 w x y^4 z - 10 b^6 c^6 u^3 v^5 w x y^4 z -
 16 a^4 c^8 u^3 v^5 w x y^4 z - 2 a^2 b^2 c^8 u^3 v^5 w x y^4 z +
 10 b^4 c^8 u^3 v^5 w x y^4 z - a^2 c^10 u^3 v^5 w x y^4 z -
 5 b^2 c^10 u^3 v^5 w x y^4 z + c^12 u^3 v^5 w x y^4 z -
 3 a^10 c^2 u^6 v w^2 x y^4 z + 7 a^8 b^2 c^2 u^6 v w^2 x y^4 z +
 2 a^6 b^4 c^2 u^6 v w^2 x y^4 z - 18 a^4 b^6 c^2 u^6 v w^2 x y^4 z +
 17 a^2 b^8 c^2 u^6 v w^2 x y^4 z - 5 b^10 c^2 u^6 v w^2 x y^4 z +
 11 a^8 c^4 u^6 v w^2 x y^4 z - 20 a^6 b^2 c^4 u^6 v w^2 x y^4 z +
 6 a^4 b^4 c^4 u^6 v w^2 x y^4 z + 4 a^2 b^6 c^4 u^6 v w^2 x y^4 z -
 b^8 c^4 u^6 v w^2 x y^4 z - 14 a^6 c^6 u^6 v w^2 x y^4 z +
 18 a^4 b^2 c^6 u^6 v w^2 x y^4 z -
 18 a^2 b^4 c^6 u^6 v w^2 x y^4 z + 14 b^6 c^6 u^6 v w^2 x y^4 z +
 6 a^4 c^8 u^6 v w^2 x y^4 z - 4 a^2 b^2 c^8 u^6 v w^2 x y^4 z -
 6 b^4 c^8 u^6 v w^2 x y^4 z + a^2 c^10 u^6 v w^2 x y^4 z -
 b^2 c^10 u^6 v w^2 x y^4 z - c^12 u^6 v w^2 x y^4 z +
 a^12 u^5 v^2 w^2 x y^4 z - 6 a^10 b^2 u^5 v^2 w^2 x y^4 z +
 15 a^8 b^4 u^5 v^2 w^2 x y^4 z - 20 a^6 b^6 u^5 v^2 w^2 x y^4 z +
 15 a^4 b^8 u^5 v^2 w^2 x y^4 z - 6 a^2 b^10 u^5 v^2 w^2 x y^4 z +
 b^12 u^5 v^2 w^2 x y^4 z - 2 a^10 c^2 u^5 v^2 w^2 x y^4 z -
 4 a^8 b^2 c^2 u^5 v^2 w^2 x y^4 z +
 36 a^6 b^4 c^2 u^5 v^2 w^2 x y^4 z -
 64 a^4 b^6 c^2 u^5 v^2 w^2 x y^4 z +
 46 a^2 b^8 c^2 u^5 v^2 w^2 x y^4 z -
 12 b^10 c^2 u^5 v^2 w^2 x y^4 z + 10 a^8 c^4 u^5 v^2 w^2 x y^4 z -
 10 a^6 b^2 c^4 u^5 v^2 w^2 x y^4 z +
 10 a^4 b^4 c^4 u^5 v^2 w^2 x y^4 z -
 30 a^2 b^6 c^4 u^5 v^2 w^2 x y^4 z +
 20 b^8 c^4 u^5 v^2 w^2 x y^4 z - 28 a^6 c^6 u^5 v^2 w^2 x y^4 z +
 18 a^4 b^2 c^6 u^5 v^2 w^2 x y^4 z +
 8 a^2 b^4 c^6 u^5 v^2 w^2 x y^4 z + 2 b^6 c^6 u^5 v^2 w^2 x y^4 z +
 29 a^4 c^8 u^5 v^2 w^2 x y^4 z - 8 a^2 b^2 c^8 u^5 v^2 w^2 x y^4 z -
 21 b^4 c^8 u^5 v^2 w^2 x y^4 z - 10 a^2 c^10 u^5 v^2 w^2 x y^4 z +
 10 b^2 c^10 u^5 v^2 w^2 x y^4 z + 2 a^12 u^4 v^3 w^2 x y^4 z -
 12 a^10 b^2 u^4 v^3 w^2 x y^4 z + 30 a^8 b^4 u^4 v^3 w^2 x y^4 z -
 40 a^6 b^6 u^4 v^3 w^2 x y^4 z + 30 a^4 b^8 u^4 v^3 w^2 x y^4 z -
 12 a^2 b^10 u^4 v^3 w^2 x y^4 z + 2 b^12 u^4 v^3 w^2 x y^4 z +
 9 a^10 c^2 u^4 v^3 w^2 x y^4 z -
 49 a^8 b^2 c^2 u^4 v^3 w^2 x y^4 z +
 106 a^6 b^4 c^2 u^4 v^3 w^2 x y^4 z -
 114 a^4 b^6 c^2 u^4 v^3 w^2 x y^4 z +
 61 a^2 b^8 c^2 u^4 v^3 w^2 x y^4 z -
 13 b^10 c^2 u^4 v^3 w^2 x y^4 z + 16 a^8 c^4 u^4 v^3 w^2 x y^4 z -
 36 a^6 b^2 c^4 u^4 v^3 w^2 x y^4 z +
 56 a^4 b^4 c^4 u^4 v^3 w^2 x y^4 z -
 68 a^2 b^6 c^4 u^4 v^3 w^2 x y^4 z +
 32 b^8 c^4 u^4 v^3 w^2 x y^4 z - 46 a^6 c^6 u^4 v^3 w^2 x y^4 z +
 62 a^4 b^2 c^6 u^4 v^3 w^2 x y^4 z +
 22 a^2 b^4 c^6 u^4 v^3 w^2 x y^4 z -
 38 b^6 c^6 u^4 v^3 w^2 x y^4 z - 2 a^4 c^8 u^4 v^3 w^2 x y^4 z -
 24 a^2 b^2 c^8 u^4 v^3 w^2 x y^4 z +
 22 b^4 c^8 u^4 v^3 w^2 x y^4 z + 21 a^2 c^10 u^4 v^3 w^2 x y^4 z -
 5 b^2 c^10 u^4 v^3 w^2 x y^4 z + a^12 u^3 v^4 w^2 x y^4 z -
 6 a^10 b^2 u^3 v^4 w^2 x y^4 z + 15 a^8 b^4 u^3 v^4 w^2 x y^4 z -
 20 a^6 b^6 u^3 v^4 w^2 x y^4 z + 15 a^4 b^8 u^3 v^4 w^2 x y^4 z -
 6 a^2 b^10 u^3 v^4 w^2 x y^4 z + b^12 u^3 v^4 w^2 x y^4 z +
 8 a^10 c^2 u^3 v^4 w^2 x y^4 z -
 38 a^8 b^2 c^2 u^3 v^4 w^2 x y^4 z +
 72 a^6 b^4 c^2 u^3 v^4 w^2 x y^4 z -
 68 a^4 b^6 c^2 u^3 v^4 w^2 x y^4 z +
 32 a^2 b^8 c^2 u^3 v^4 w^2 x y^4 z -
 6 b^10 c^2 u^3 v^4 w^2 x y^4 z + 21 a^8 c^4 u^3 v^4 w^2 x y^4 z -
 62 a^6 b^2 c^4 u^3 v^4 w^2 x y^4 z +
 76 a^4 b^4 c^4 u^3 v^4 w^2 x y^4 z -
 50 a^2 b^6 c^4 u^3 v^4 w^2 x y^4 z +
 15 b^8 c^4 u^3 v^4 w^2 x y^4 z + 2 a^6 c^6 u^3 v^4 w^2 x y^4 z +
 18 a^2 b^4 c^6 u^3 v^4 w^2 x y^4 z -
 20 b^6 c^6 u^3 v^4 w^2 x y^4 z - 23 a^4 c^8 u^3 v^4 w^2 x y^4 z +
 16 a^2 b^2 c^8 u^3 v^4 w^2 x y^4 z +
 15 b^4 c^8 u^3 v^4 w^2 x y^4 z - 10 a^2 c^10 u^3 v^4 w^2 x y^4 z -
 6 b^2 c^10 u^3 v^4 w^2 x y^4 z + c^12 u^3 v^4 w^2 x y^4 z +
 2 a^6 b^4 c^2 u^6 w^3 x y^4 z - 6 a^4 b^6 c^2 u^6 w^3 x y^4 z +
 6 a^2 b^8 c^2 u^6 w^3 x y^4 z - 2 b^10 c^2 u^6 w^3 x y^4 z +
 6 a^4 b^4 c^4 u^6 w^3 x y^4 z - 4 a^2 b^6 c^4 u^6 w^3 x y^4 z -
 2 b^8 c^4 u^6 w^3 x y^4 z - 2 a^2 b^4 c^6 u^6 w^3 x y^4 z +
 10 b^6 c^6 u^6 w^3 x y^4 z - 6 b^4 c^8 u^6 w^3 x y^4 z -
 a^12 u^5 v w^3 x y^4 z + 3 a^10 b^2 u^5 v w^3 x y^4 z -
 10 a^6 b^6 u^5 v w^3 x y^4 z + 15 a^4 b^8 u^5 v w^3 x y^4 z -
 9 a^2 b^10 u^5 v w^3 x y^4 z + 2 b^12 u^5 v w^3 x y^4 z -
 2 a^10 c^2 u^5 v w^3 x y^4 z - 5 a^8 b^2 c^2 u^5 v w^3 x y^4 z +
 30 a^6 b^4 c^2 u^5 v w^3 x y^4 z -
 40 a^4 b^6 c^2 u^5 v w^3 x y^4 z +
 20 a^2 b^8 c^2 u^5 v w^3 x y^4 z - 3 b^10 c^2 u^5 v w^3 x y^4 z +
 17 a^8 c^4 u^5 v w^3 x y^4 z - 10 a^6 b^2 c^4 u^5 v w^3 x y^4 z -
 30 a^4 b^4 c^4 u^5 v w^3 x y^4 z +
 30 a^2 b^6 c^4 u^5 v w^3 x y^4 z - 7 b^8 c^4 u^5 v w^3 x y^4 z -
 28 a^6 c^6 u^5 v w^3 x y^4 z + 30 a^4 b^2 c^6 u^5 v w^3 x y^4 z -
 14 a^2 b^4 c^6 u^5 v w^3 x y^4 z + 20 b^6 c^6 u^5 v w^3 x y^4 z +
 17 a^4 c^8 u^5 v w^3 x y^4 z - 25 a^2 b^2 c^8 u^5 v w^3 x y^4 z -
 18 b^4 c^8 u^5 v w^3 x y^4 z - 2 a^2 c^10 u^5 v w^3 x y^4 z +
 7 b^2 c^10 u^5 v w^3 x y^4 z - c^12 u^5 v w^3 x y^4 z -
 a^12 u^4 v^2 w^3 x y^4 z + 2 a^10 b^2 u^4 v^2 w^3 x y^4 z +
 5 a^8 b^4 u^4 v^2 w^3 x y^4 z - 20 a^6 b^6 u^4 v^2 w^3 x y^4 z +
 25 a^4 b^8 u^4 v^2 w^3 x y^4 z - 14 a^2 b^10 u^4 v^2 w^3 x y^4 z +
 3 b^12 u^4 v^2 w^3 x y^4 z - 7 a^10 c^2 u^4 v^2 w^3 x y^4 z +
 a^8 b^2 c^2 u^4 v^2 w^3 x y^4 z +
 46 a^6 b^4 c^2 u^4 v^2 w^3 x y^4 z -
 74 a^4 b^6 c^2 u^4 v^2 w^3 x y^4 z +
 41 a^2 b^8 c^2 u^4 v^2 w^3 x y^4 z -
 7 b^10 c^2 u^4 v^2 w^3 x y^4 z + 16 a^8 c^4 u^4 v^2 w^3 x y^4 z -
 52 a^6 b^2 c^4 u^4 v^2 w^3 x y^4 z +
 40 a^4 b^4 c^4 u^4 v^2 w^3 x y^4 z -
 4 a^2 b^6 c^4 u^4 v^2 w^3 x y^4 z + 2 a^6 c^6 u^4 v^2 w^3 x y^4 z +
 26 a^4 b^2 c^6 u^4 v^2 w^3 x y^4 z -
 54 a^2 b^4 c^6 u^4 v^2 w^3 x y^4 z +
 10 b^6 c^6 u^4 v^2 w^3 x y^4 z - 17 a^4 c^8 u^4 v^2 w^3 x y^4 z +
 26 a^2 b^2 c^8 u^4 v^2 w^3 x y^4 z - 5 b^4 c^8 u^4 v^2 w^3 x y^4 z +
 5 a^2 c^10 u^4 v^2 w^3 x y^4 z - 3 b^2 c^10 u^4 v^2 w^3 x y^4 z +
 2 c^12 u^4 v^2 w^3 x y^4 z + 4 a^10 c^2 u^3 v^3 w^3 x y^4 z -
 12 a^8 b^2 c^2 u^3 v^3 w^3 x y^4 z +
 12 a^6 b^4 c^2 u^3 v^3 w^3 x y^4 z -
 4 a^4 b^6 c^2 u^3 v^3 w^3 x y^4 z - 8 a^8 c^4 u^3 v^3 w^3 x y^4 z +
 4 a^6 b^2 c^4 u^3 v^3 w^3 x y^4 z +
 4 a^2 b^6 c^4 u^3 v^3 w^3 x y^4 z -
 4 a^4 b^2 c^6 u^3 v^3 w^3 x y^4 z -
 12 a^2 b^4 c^6 u^3 v^3 w^3 x y^4 z + 8 a^4 c^8 u^3 v^3 w^3 x y^4 z +
 12 a^2 b^2 c^8 u^3 v^3 w^3 x y^4 z - 4 a^2 c^10 u^3 v^3 w^3 x y^4 z -
  a^12 u^2 v^4 w^3 x y^4 z + 6 a^10 b^2 u^2 v^4 w^3 x y^4 z -
 15 a^8 b^4 u^2 v^4 w^3 x y^4 z + 20 a^6 b^6 u^2 v^4 w^3 x y^4 z -
 15 a^4 b^8 u^2 v^4 w^3 x y^4 z + 6 a^2 b^10 u^2 v^4 w^3 x y^4 z -
 b^12 u^2 v^4 w^3 x y^4 z + 10 a^10 c^2 u^2 v^4 w^3 x y^4 z -
 16 a^8 b^2 c^2 u^2 v^4 w^3 x y^4 z -
 18 a^6 b^4 c^2 u^2 v^4 w^3 x y^4 z +
 50 a^4 b^6 c^2 u^2 v^4 w^3 x y^4 z -
 32 a^2 b^8 c^2 u^2 v^4 w^3 x y^4 z +
 6 b^10 c^2 u^2 v^4 w^3 x y^4 z + 23 a^8 c^4 u^2 v^4 w^3 x y^4 z -
 76 a^4 b^4 c^4 u^2 v^4 w^3 x y^4 z +
 68 a^2 b^6 c^4 u^2 v^4 w^3 x y^4 z -
 15 b^8 c^4 u^2 v^4 w^3 x y^4 z - 2 a^6 c^6 u^2 v^4 w^3 x y^4 z +
 62 a^4 b^2 c^6 u^2 v^4 w^3 x y^4 z -
 72 a^2 b^4 c^6 u^2 v^4 w^3 x y^4 z +
 20 b^6 c^6 u^2 v^4 w^3 x y^4 z - 21 a^4 c^8 u^2 v^4 w^3 x y^4 z +
 38 a^2 b^2 c^8 u^2 v^4 w^3 x y^4 z -
 15 b^4 c^8 u^2 v^4 w^3 x y^4 z - 8 a^2 c^10 u^2 v^4 w^3 x y^4 z +
 6 b^2 c^10 u^2 v^4 w^3 x y^4 z - c^12 u^2 v^4 w^3 x y^4 z -
 a^12 u v^5 w^3 x y^4 z + 5 a^10 b^2 u v^5 w^3 x y^4 z -
 10 a^8 b^4 u v^5 w^3 x y^4 z + 10 a^6 b^6 u v^5 w^3 x y^4 z -
 5 a^4 b^8 u v^5 w^3 x y^4 z + a^2 b^10 u v^5 w^3 x y^4 z +
 a^10 c^2 u v^5 w^3 x y^4 z + 2 a^8 b^2 c^2 u v^5 w^3 x y^4 z -
 12 a^6 b^4 c^2 u v^5 w^3 x y^4 z +
 14 a^4 b^6 c^2 u v^5 w^3 x y^4 z - 5 a^2 b^8 c^2 u v^5 w^3 x y^4 z +
 16 a^8 c^4 u v^5 w^3 x y^4 z - 14 a^6 b^2 c^4 u v^5 w^3 x y^4 z -
 12 a^4 b^4 c^4 u v^5 w^3 x y^4 z +
 10 a^2 b^6 c^4 u v^5 w^3 x y^4 z + 16 a^6 c^6 u v^5 w^3 x y^4 z +
 2 a^4 b^2 c^6 u v^5 w^3 x y^4 z - 10 a^2 b^4 c^6 u v^5 w^3 x y^4 z +
 a^4 c^8 u v^5 w^3 x y^4 z + 5 a^2 b^2 c^8 u v^5 w^3 x y^4 z -
 a^2 c^10 u v^5 w^3 x y^4 z + a^8 b^4 u^5 w^4 x y^4 z -
 4 a^6 b^6 u^5 w^4 x y^4 z + 6 a^4 b^8 u^5 w^4 x y^4 z -
 4 a^2 b^10 u^5 w^4 x y^4 z + b^12 u^5 w^4 x y^4 z +
 14 a^6 b^4 c^2 u^5 w^4 x y^4 z - 26 a^4 b^6 c^2 u^5 w^4 x y^4 z +
 10 a^2 b^8 c^2 u^5 w^4 x y^4 z + 2 b^10 c^2 u^5 w^4 x y^4 z +
 12 a^4 b^4 c^4 u^5 w^4 x y^4 z + 16 a^2 b^6 c^4 u^5 w^4 x y^4 z -
 12 b^8 c^4 u^5 w^4 x y^4 z - 22 a^2 b^4 c^6 u^5 w^4 x y^4 z +
 14 b^6 c^6 u^5 w^4 x y^4 z - 5 b^4 c^8 u^5 w^4 x y^4 z -
 a^12 u^4 v w^4 x y^4 z - a^10 b^2 u^4 v w^4 x y^4 z +
 14 a^8 b^4 u^4 v w^4 x y^4 z - 26 a^6 b^6 u^4 v w^4 x y^4 z +
 19 a^4 b^8 u^4 v w^4 x y^4 z - 5 a^2 b^10 u^4 v w^4 x y^4 z +
 4 a^10 c^2 u^4 v w^4 x y^4 z - 11 a^8 b^2 c^2 u^4 v w^4 x y^4 z +
 20 a^6 b^4 c^2 u^4 v w^4 x y^4 z -
 18 a^4 b^6 c^2 u^4 v w^4 x y^4 z + 5 b^10 c^2 u^4 v w^4 x y^4 z -
 5 a^8 c^4 u^4 v w^4 x y^4 z + 38 a^6 b^2 c^4 u^4 v w^4 x y^4 z +
 18 a^2 b^6 c^4 u^4 v w^4 x y^4 z - 19 b^8 c^4 u^4 v w^4 x y^4 z -
 38 a^4 b^2 c^6 u^4 v w^4 x y^4 z -
 20 a^2 b^4 c^6 u^4 v w^4 x y^4 z + 26 b^6 c^6 u^4 v w^4 x y^4 z +
 5 a^4 c^8 u^4 v w^4 x y^4 z + 11 a^2 b^2 c^8 u^4 v w^4 x y^4 z -
 14 b^4 c^8 u^4 v w^4 x y^4 z - 4 a^2 c^10 u^4 v w^4 x y^4 z +
 b^2 c^10 u^4 v w^4 x y^4 z + c^12 u^4 v w^4 x y^4 z -
 2 a^12 u^3 v^2 w^4 x y^4 z + 3 a^10 b^2 u^3 v^2 w^4 x y^4 z +
 5 a^8 b^4 u^3 v^2 w^4 x y^4 z - 10 a^6 b^6 u^3 v^2 w^4 x y^4 z +
 7 a^2 b^10 u^3 v^2 w^4 x y^4 z - 3 b^12 u^3 v^2 w^4 x y^4 z -
 5 a^10 c^2 u^3 v^2 w^4 x y^4 z -
 26 a^8 b^2 c^2 u^3 v^2 w^4 x y^4 z +
 54 a^6 b^4 c^2 u^3 v^2 w^4 x y^4 z +
 4 a^4 b^6 c^2 u^3 v^2 w^4 x y^4 z -
 41 a^2 b^8 c^2 u^3 v^2 w^4 x y^4 z +
 14 b^10 c^2 u^3 v^2 w^4 x y^4 z + 17 a^8 c^4 u^3 v^2 w^4 x y^4 z -
 26 a^6 b^2 c^4 u^3 v^2 w^4 x y^4 z -
 40 a^4 b^4 c^4 u^3 v^2 w^4 x y^4 z +
 74 a^2 b^6 c^4 u^3 v^2 w^4 x y^4 z -
 25 b^8 c^4 u^3 v^2 w^4 x y^4 z - 2 a^6 c^6 u^3 v^2 w^4 x y^4 z +
 52 a^4 b^2 c^6 u^3 v^2 w^4 x y^4 z -
 46 a^2 b^4 c^6 u^3 v^2 w^4 x y^4 z +
 20 b^6 c^6 u^3 v^2 w^4 x y^4 z - 16 a^4 c^8 u^3 v^2 w^4 x y^4 z -
 a^2 b^2 c^8 u^3 v^2 w^4 x y^4 z - 5 b^4 c^8 u^3 v^2 w^4 x y^4 z +
 7 a^2 c^10 u^3 v^2 w^4 x y^4 z - 2 b^2 c^10 u^3 v^2 w^4 x y^4 z +
 c^12 u^3 v^2 w^4 x y^4 z + 5 a^10 b^2 u^2 v^3 w^4 x y^4 z -
 22 a^8 b^4 u^2 v^3 w^4 x y^4 z + 38 a^6 b^6 u^2 v^3 w^4 x y^4 z -
 32 a^4 b^8 u^2 v^3 w^4 x y^4 z + 13 a^2 b^10 u^2 v^3 w^4 x y^4 z -
 2 b^12 u^2 v^3 w^4 x y^4 z - 21 a^10 c^2 u^2 v^3 w^4 x y^4 z +
 24 a^8 b^2 c^2 u^2 v^3 w^4 x y^4 z -
 22 a^6 b^4 c^2 u^2 v^3 w^4 x y^4 z +
 68 a^4 b^6 c^2 u^2 v^3 w^4 x y^4 z -
 61 a^2 b^8 c^2 u^2 v^3 w^4 x y^4 z +
 12 b^10 c^2 u^2 v^3 w^4 x y^4 z + 2 a^8 c^4 u^2 v^3 w^4 x y^4 z -
 62 a^6 b^2 c^4 u^2 v^3 w^4 x y^4 z -
 56 a^4 b^4 c^4 u^2 v^3 w^4 x y^4 z +
 114 a^2 b^6 c^4 u^2 v^3 w^4 x y^4 z -
 30 b^8 c^4 u^2 v^3 w^4 x y^4 z + 46 a^6 c^6 u^2 v^3 w^4 x y^4 z +
 36 a^4 b^2 c^6 u^2 v^3 w^4 x y^4 z -
 106 a^2 b^4 c^6 u^2 v^3 w^4 x y^4 z +
 40 b^6 c^6 u^2 v^3 w^4 x y^4 z - 16 a^4 c^8 u^2 v^3 w^4 x y^4 z +
 49 a^2 b^2 c^8 u^2 v^3 w^4 x y^4 z -
 30 b^4 c^8 u^2 v^3 w^4 x y^4 z - 9 a^2 c^10 u^2 v^3 w^4 x y^4 z +
 12 b^2 c^10 u^2 v^3 w^4 x y^4 z - 2 c^12 u^2 v^3 w^4 x y^4 z +
 2 a^12 u v^4 w^4 x y^4 z - 3 a^10 b^2 u v^4 w^4 x y^4 z -
 8 a^8 b^4 u v^4 w^4 x y^4 z + 22 a^6 b^6 u v^4 w^4 x y^4 z -
 18 a^4 b^8 u v^4 w^4 x y^4 z + 5 a^2 b^10 u v^4 w^4 x y^4 z -
 7 a^10 c^2 u v^4 w^4 x y^4 z + 22 a^8 b^2 c^2 u v^4 w^4 x y^4 z -
 48 a^6 b^4 c^2 u v^4 w^4 x y^4 z +
 58 a^4 b^6 c^2 u v^4 w^4 x y^4 z -
 25 a^2 b^8 c^2 u v^4 w^4 x y^4 z - 6 a^8 c^4 u v^4 w^4 x y^4 z +
 6 a^6 b^2 c^4 u v^4 w^4 x y^4 z - 66 a^4 b^4 c^4 u v^4 w^4 x y^4 z +
 50 a^2 b^6 c^4 u v^4 w^4 x y^4 z + 20 a^6 c^6 u v^4 w^4 x y^4 z +
 30 a^4 b^2 c^6 u v^4 w^4 x y^4 z -
 50 a^2 b^4 c^6 u v^4 w^4 x y^4 z - 4 a^4 c^8 u v^4 w^4 x y^4 z +
 25 a^2 b^2 c^8 u v^4 w^4 x y^4 z - 5 a^2 c^10 u v^4 w^4 x y^4 z +
 a^12 v^5 w^4 x y^4 z - 4 a^10 b^2 v^5 w^4 x y^4 z +
 6 a^8 b^4 v^5 w^4 x y^4 z - 4 a^6 b^6 v^5 w^4 x y^4 z +
 a^4 b^8 v^5 w^4 x y^4 z + 4 a^10 c^2 v^5 w^4 x y^4 z -
 12 a^8 b^2 c^2 v^5 w^4 x y^4 z + 12 a^6 b^4 c^2 v^5 w^4 x y^4 z -
 4 a^4 b^6 c^2 v^5 w^4 x y^4 z + 6 a^8 c^4 v^5 w^4 x y^4 z -
 12 a^6 b^2 c^4 v^5 w^4 x y^4 z + 6 a^4 b^4 c^4 v^5 w^4 x y^4 z +
 4 a^6 c^6 v^5 w^4 x y^4 z - 4 a^4 b^2 c^6 v^5 w^4 x y^4 z +
 a^4 c^8 v^5 w^4 x y^4 z + 5 a^8 b^4 u^4 w^5 x y^4 z -
 14 a^6 b^6 u^4 w^5 x y^4 z + 12 a^4 b^8 u^4 w^5 x y^4 z -
 2 a^2 b^10 u^4 w^5 x y^4 z - b^12 u^4 w^5 x y^4 z +
 22 a^6 b^4 c^2 u^4 w^5 x y^4 z - 16 a^4 b^6 c^2 u^4 w^5 x y^4 z -
 10 a^2 b^8 c^2 u^4 w^5 x y^4 z + 4 b^10 c^2 u^4 w^5 x y^4 z -
 12 a^4 b^4 c^4 u^4 w^5 x y^4 z + 26 a^2 b^6 c^4 u^4 w^5 x y^4 z -
 6 b^8 c^4 u^4 w^5 x y^4 z - 14 a^2 b^4 c^6 u^4 w^5 x y^4 z +
 4 b^6 c^6 u^4 w^5 x y^4 z - b^4 c^8 u^4 w^5 x y^4 z +
 a^12 u^3 v w^5 x y^4 z - 7 a^10 b^2 u^3 v w^5 x y^4 z +
 18 a^8 b^4 u^3 v w^5 x y^4 z - 20 a^6 b^6 u^3 v w^5 x y^4 z +
 7 a^4 b^8 u^3 v w^5 x y^4 z + 3 a^2 b^10 u^3 v w^5 x y^4 z -
 2 b^12 u^3 v w^5 x y^4 z + 2 a^10 c^2 u^3 v w^5 x y^4 z +
 25 a^8 b^2 c^2 u^3 v w^5 x y^4 z +
 14 a^6 b^4 c^2 u^3 v w^5 x y^4 z -
 30 a^4 b^6 c^2 u^3 v w^5 x y^4 z -
 20 a^2 b^8 c^2 u^3 v w^5 x y^4 z + 9 b^10 c^2 u^3 v w^5 x y^4 z -
 17 a^8 c^4 u^3 v w^5 x y^4 z - 30 a^6 b^2 c^4 u^3 v w^5 x y^4 z +
 30 a^4 b^4 c^4 u^3 v w^5 x y^4 z +
 40 a^2 b^6 c^4 u^3 v w^5 x y^4 z - 15 b^8 c^4 u^3 v w^5 x y^4 z +
 28 a^6 c^6 u^3 v w^5 x y^4 z + 10 a^4 b^2 c^6 u^3 v w^5 x y^4 z -
 30 a^2 b^4 c^6 u^3 v w^5 x y^4 z + 10 b^6 c^6 u^3 v w^5 x y^4 z -
 17 a^4 c^8 u^3 v w^5 x y^4 z + 5 a^2 b^2 c^8 u^3 v w^5 x y^4 z +
 2 a^2 c^10 u^3 v w^5 x y^4 z - 3 b^2 c^10 u^3 v w^5 x y^4 z +
 c^12 u^3 v w^5 x y^4 z - 10 a^10 b^2 u^2 v^2 w^5 x y^4 z +
 21 a^8 b^4 u^2 v^2 w^5 x y^4 z - 2 a^6 b^6 u^2 v^2 w^5 x y^4 z -
 20 a^4 b^8 u^2 v^2 w^5 x y^4 z + 12 a^2 b^10 u^2 v^2 w^5 x y^4 z -
 b^12 u^2 v^2 w^5 x y^4 z + 10 a^10 c^2 u^2 v^2 w^5 x y^4 z +
 8 a^8 b^2 c^2 u^2 v^2 w^5 x y^4 z -
 8 a^6 b^4 c^2 u^2 v^2 w^5 x y^4 z +
 30 a^4 b^6 c^2 u^2 v^2 w^5 x y^4 z -
 46 a^2 b^8 c^2 u^2 v^2 w^5 x y^4 z +
 6 b^10 c^2 u^2 v^2 w^5 x y^4 z - 29 a^8 c^4 u^2 v^2 w^5 x y^4 z -
 18 a^6 b^2 c^4 u^2 v^2 w^5 x y^4 z -
 10 a^4 b^4 c^4 u^2 v^2 w^5 x y^4 z +
 64 a^2 b^6 c^4 u^2 v^2 w^5 x y^4 z -
 15 b^8 c^4 u^2 v^2 w^5 x y^4 z + 28 a^6 c^6 u^2 v^2 w^5 x y^4 z +
 10 a^4 b^2 c^6 u^2 v^2 w^5 x y^4 z -
 36 a^2 b^4 c^6 u^2 v^2 w^5 x y^4 z +
 20 b^6 c^6 u^2 v^2 w^5 x y^4 z - 10 a^4 c^8 u^2 v^2 w^5 x y^4 z +
 4 a^2 b^2 c^8 u^2 v^2 w^5 x y^4 z - 15 b^4 c^8 u^2 v^2 w^5 x y^4 z +
 2 a^2 c^10 u^2 v^2 w^5 x y^4 z + 6 b^2 c^10 u^2 v^2 w^5 x y^4 z -
 c^12 u^2 v^2 w^5 x y^4 z - 3 a^12 u v^3 w^5 x y^4 z +
 a^10 b^2 u v^3 w^5 x y^4 z + 8 a^8 b^4 u v^3 w^5 x y^4 z -
 13 a^4 b^8 u v^3 w^5 x y^4 z + 7 a^2 b^10 u v^3 w^5 x y^4 z +
 a^10 c^2 u v^3 w^5 x y^4 z - 6 a^8 b^2 c^2 u v^3 w^5 x y^4 z -
 2 a^6 b^4 c^2 u v^3 w^5 x y^4 z + 42 a^4 b^6 c^2 u v^3 w^5 x y^4 z -
 35 a^2 b^8 c^2 u v^3 w^5 x y^4 z - 10 a^8 c^4 u v^3 w^5 x y^4 z -
 20 a^6 b^2 c^4 u v^3 w^5 x y^4 z -
 48 a^4 b^4 c^4 u v^3 w^5 x y^4 z +
 70 a^2 b^6 c^4 u v^3 w^5 x y^4 z + 22 a^6 c^6 u v^3 w^5 x y^4 z +
 22 a^4 b^2 c^6 u v^3 w^5 x y^4 z -
 70 a^2 b^4 c^6 u v^3 w^5 x y^4 z - 3 a^4 c^8 u v^3 w^5 x y^4 z +
 35 a^2 b^2 c^8 u v^3 w^5 x y^4 z - 7 a^2 c^10 u v^3 w^5 x y^4 z -
 2 a^12 v^4 w^5 x y^4 z + 4 a^10 b^2 v^4 w^5 x y^4 z -
 4 a^6 b^6 v^4 w^5 x y^4 z + 2 a^4 b^8 v^4 w^5 x y^4 z -
 4 a^10 c^2 v^4 w^5 x y^4 z + 12 a^6 b^4 c^2 v^4 w^5 x y^4 z -
 8 a^4 b^6 c^2 v^4 w^5 x y^4 z - 12 a^6 b^2 c^4 v^4 w^5 x y^4 z +
 12 a^4 b^4 c^4 v^4 w^5 x y^4 z + 4 a^6 c^6 v^4 w^5 x y^4 z -
 8 a^4 b^2 c^6 v^4 w^5 x y^4 z + 2 a^4 c^8 v^4 w^5 x y^4 z +
 6 a^8 b^4 u^3 w^6 x y^4 z - 10 a^6 b^6 u^3 w^6 x y^4 z +
 2 a^4 b^8 u^3 w^6 x y^4 z + 2 a^2 b^10 u^3 w^6 x y^4 z +
 2 a^6 b^4 c^2 u^3 w^6 x y^4 z + 4 a^4 b^6 c^2 u^3 w^6 x y^4 z -
 6 a^2 b^8 c^2 u^3 w^6 x y^4 z - 6 a^4 b^4 c^4 u^3 w^6 x y^4 z +
 6 a^2 b^6 c^4 u^3 w^6 x y^4 z - 2 a^2 b^4 c^6 u^3 w^6 x y^4 z +
 a^12 u^2 v w^6 x y^4 z + a^10 b^2 u^2 v w^6 x y^4 z +
 6 a^8 b^4 u^2 v w^6 x y^4 z - 14 a^6 b^6 u^2 v w^6 x y^4 z +
 a^4 b^8 u^2 v w^6 x y^4 z + 5 a^2 b^10 u^2 v w^6 x y^4 z -
 a^10 c^2 u^2 v w^6 x y^4 z + 4 a^8 b^2 c^2 u^2 v w^6 x y^4 z +
 18 a^6 b^4 c^2 u^2 v w^6 x y^4 z - 4 a^4 b^6 c^2 u^2 v w^6 x y^4 z -
 17 a^2 b^8 c^2 u^2 v w^6 x y^4 z - 6 a^8 c^4 u^2 v w^6 x y^4 z -
 18 a^6 b^2 c^4 u^2 v w^6 x y^4 z - 6 a^4 b^4 c^4 u^2 v w^6 x y^4 z +
 18 a^2 b^6 c^4 u^2 v w^6 x y^4 z + 14 a^6 c^6 u^2 v w^6 x y^4 z +
 20 a^4 b^2 c^6 u^2 v w^6 x y^4 z - 2 a^2 b^4 c^6 u^2 v w^6 x y^4 z -
 11 a^4 c^8 u^2 v w^6 x y^4 z - 7 a^2 b^2 c^8 u^2 v w^6 x y^4 z +
 3 a^2 c^10 u^2 v w^6 x y^4 z + 2 a^12 u v^2 w^6 x y^4 z +
 a^10 b^2 u v^2 w^6 x y^4 z - 2 a^8 b^4 u v^2 w^6 x y^4 z -
 4 a^6 b^6 u v^2 w^6 x y^4 z + 3 a^2 b^10 u v^2 w^6 x y^4 z +
 a^10 c^2 u v^2 w^6 x y^4 z + 6 a^8 b^2 c^2 u v^2 w^6 x y^4 z +
 10 a^6 b^4 c^2 u v^2 w^6 x y^4 z - 2 a^4 b^6 c^2 u v^2 w^6 x y^4 z -
 15 a^2 b^8 c^2 u v^2 w^6 x y^4 z - 12 a^8 c^4 u v^2 w^6 x y^4 z -
 16 a^6 b^2 c^4 u v^2 w^6 x y^4 z + 6 a^4 b^4 c^4 u v^2 w^6 x y^4 z +
 30 a^2 b^6 c^4 u v^2 w^6 x y^4 z + 10 a^6 c^6 u v^2 w^6 x y^4 z -
 6 a^4 b^2 c^6 u v^2 w^6 x y^4 z - 30 a^2 b^4 c^6 u v^2 w^6 x y^4 z +
 2 a^4 c^8 u v^2 w^6 x y^4 z + 15 a^2 b^2 c^8 u v^2 w^6 x y^4 z -
 3 a^2 c^10 u v^2 w^6 x y^4 z + a^12 v^3 w^6 x y^4 z -
 2 a^8 b^4 v^3 w^6 x y^4 z + a^4 b^8 v^3 w^6 x y^4 z +
 4 a^8 b^2 c^2 v^3 w^6 x y^4 z - 4 a^4 b^6 c^2 v^3 w^6 x y^4 z -
 2 a^8 c^4 v^3 w^6 x y^4 z + 6 a^4 b^4 c^4 v^3 w^6 x y^4 z -
 4 a^4 b^2 c^6 v^3 w^6 x y^4 z + a^4 c^8 v^3 w^6 x y^4 z -
 2 a^6 b^2 c^4 u^5 v^4 x^4 z^2 + 6 a^4 b^4 c^4 u^5 v^4 x^4 z^2 -
 6 a^2 b^6 c^4 u^5 v^4 x^4 z^2 + 2 b^8 c^4 u^5 v^4 x^4 z^2 +
 6 a^4 b^2 c^6 u^5 v^4 x^4 z^2 - 12 a^2 b^4 c^6 u^5 v^4 x^4 z^2 +
 6 b^6 c^6 u^5 v^4 x^4 z^2 - 6 a^2 b^2 c^8 u^5 v^4 x^4 z^2 +
 6 b^4 c^8 u^5 v^4 x^4 z^2 + 2 b^2 c^10 u^5 v^4 x^4 z^2 -
 a^8 c^4 u^4 v^5 x^4 z^2 + 6 a^4 b^4 c^4 u^4 v^5 x^4 z^2 -
 8 a^2 b^6 c^4 u^4 v^5 x^4 z^2 + 3 b^8 c^4 u^4 v^5 x^4 z^2 +
 4 a^6 c^6 u^4 v^5 x^4 z^2 - 4 a^4 b^2 c^6 u^4 v^5 x^4 z^2 -
 4 a^2 b^4 c^6 u^4 v^5 x^4 z^2 + 4 b^6 c^6 u^4 v^5 x^4 z^2 -
 6 a^4 c^8 u^4 v^5 x^4 z^2 + 8 a^2 b^2 c^8 u^4 v^5 x^4 z^2 -
 2 b^4 c^8 u^4 v^5 x^4 z^2 + 4 a^2 c^10 u^4 v^5 x^4 z^2 -
 4 b^2 c^10 u^4 v^5 x^4 z^2 - c^12 u^4 v^5 x^4 z^2 -
 a^8 c^4 u^3 v^6 x^4 z^2 + 2 a^6 b^2 c^4 u^3 v^6 x^4 z^2 -
 2 a^2 b^6 c^4 u^3 v^6 x^4 z^2 + b^8 c^4 u^3 v^6 x^4 z^2 +
 2 a^6 c^6 u^3 v^6 x^4 z^2 - 4 a^4 b^2 c^6 u^3 v^6 x^4 z^2 +
 2 a^2 b^4 c^6 u^3 v^6 x^4 z^2 + 2 a^2 b^2 c^8 u^3 v^6 x^4 z^2 -
 2 b^4 c^8 u^3 v^6 x^4 z^2 - 2 a^2 c^10 u^3 v^6 x^4 z^2 +
 c^12 u^3 v^6 x^4 z^2 - a^8 b^2 c^2 u^5 v^3 w x^4 z^2 +
 4 a^6 b^4 c^2 u^5 v^3 w x^4 z^2 - 6 a^4 b^6 c^2 u^5 v^3 w x^4 z^2 +
 4 a^2 b^8 c^2 u^5 v^3 w x^4 z^2 - b^10 c^2 u^5 v^3 w x^4 z^2 +
 4 a^6 b^2 c^4 u^5 v^3 w x^4 z^2 + 4 a^4 b^4 c^4 u^5 v^3 w x^4 z^2 -
 20 a^2 b^6 c^4 u^5 v^3 w x^4 z^2 + 12 b^8 c^4 u^5 v^3 w x^4 z^2 -
 6 a^4 b^2 c^6 u^5 v^3 w x^4 z^2 - 20 a^2 b^4 c^6 u^5 v^3 w x^4 z^2 +
 26 b^6 c^6 u^5 v^3 w x^4 z^2 + 4 a^2 b^2 c^8 u^5 v^3 w x^4 z^2 +
 12 b^4 c^8 u^5 v^3 w x^4 z^2 - b^2 c^10 u^5 v^3 w x^4 z^2 -
 7 a^8 b^2 c^2 u^4 v^4 w x^4 z^2 + 28 a^6 b^4 c^2 u^4 v^4 w x^4 z^2 -
 42 a^4 b^6 c^2 u^4 v^4 w x^4 z^2 +
 28 a^2 b^8 c^2 u^4 v^4 w x^4 z^2 - 7 b^10 c^2 u^4 v^4 w x^4 z^2 +
 28 a^6 b^2 c^4 u^4 v^4 w x^4 z^2 -
 44 a^4 b^4 c^4 u^4 v^4 w x^4 z^2 + 4 a^2 b^6 c^4 u^4 v^4 w x^4 z^2 +
 12 b^8 c^4 u^4 v^4 w x^4 z^2 - 42 a^4 b^2 c^6 u^4 v^4 w x^4 z^2 +
 28 a^2 b^4 c^6 u^4 v^4 w x^4 z^2 + 14 b^6 c^6 u^4 v^4 w x^4 z^2 +
 28 a^2 b^2 c^8 u^4 v^4 w x^4 z^2 - 12 b^4 c^8 u^4 v^4 w x^4 z^2 -
 7 b^2 c^10 u^4 v^4 w x^4 z^2 - 2 a^10 c^2 u^3 v^5 w x^4 z^2 -
 a^8 b^2 c^2 u^3 v^5 w x^4 z^2 + 24 a^6 b^4 c^2 u^3 v^5 w x^4 z^2 -
 46 a^4 b^6 c^2 u^3 v^5 w x^4 z^2 +
 34 a^2 b^8 c^2 u^3 v^5 w x^4 z^2 - 9 b^10 c^2 u^3 v^5 w x^4 z^2 +
 8 a^8 c^4 u^3 v^5 w x^4 z^2 - 16 a^4 b^4 c^4 u^3 v^5 w x^4 z^2 +
 8 b^8 c^4 u^3 v^5 w x^4 z^2 - 12 a^6 c^6 u^3 v^5 w x^4 z^2 +
 2 a^4 b^2 c^6 u^3 v^5 w x^4 z^2 + 10 b^6 c^6 u^3 v^5 w x^4 z^2 +
 8 a^4 c^8 u^3 v^5 w x^4 z^2 - 8 b^4 c^8 u^3 v^5 w x^4 z^2 -
 2 a^2 c^10 u^3 v^5 w x^4 z^2 - b^2 c^10 u^3 v^5 w x^4 z^2 -
 2 a^10 c^2 u^2 v^6 w x^4 z^2 + 5 a^8 b^2 c^2 u^2 v^6 w x^4 z^2 -
 10 a^4 b^6 c^2 u^2 v^6 w x^4 z^2 +
 10 a^2 b^8 c^2 u^2 v^6 w x^4 z^2 - 3 b^10 c^2 u^2 v^6 w x^4 z^2 +
 4 a^8 c^4 u^2 v^6 w x^4 z^2 - 8 a^6 b^2 c^4 u^2 v^6 w x^4 z^2 +
 8 a^4 b^4 c^4 u^2 v^6 w x^4 z^2 - 8 a^2 b^6 c^4 u^2 v^6 w x^4 z^2 +
 4 b^8 c^4 u^2 v^6 w x^4 z^2 - 2 a^6 c^6 u^2 v^6 w x^4 z^2 -
 2 a^2 b^4 c^6 u^2 v^6 w x^4 z^2 + 4 b^6 c^6 u^2 v^6 w x^4 z^2 +
 2 a^4 c^8 u^2 v^6 w x^4 z^2 + 4 a^2 b^2 c^8 u^2 v^6 w x^4 z^2 -
 6 b^4 c^8 u^2 v^6 w x^4 z^2 - 4 a^2 c^10 u^2 v^6 w x^4 z^2 -
 b^2 c^10 u^2 v^6 w x^4 z^2 + 2 c^12 u^2 v^6 w x^4 z^2 -
 4 a^6 b^4 c^2 u^5 v^2 w^2 x^4 z^2 +
 12 a^4 b^6 c^2 u^5 v^2 w^2 x^4 z^2 -
 12 a^2 b^8 c^2 u^5 v^2 w^2 x^4 z^2 +
 4 b^10 c^2 u^5 v^2 w^2 x^4 z^2 +
 12 a^4 b^4 c^4 u^5 v^2 w^2 x^4 z^2 -
 32 a^2 b^6 c^4 u^5 v^2 w^2 x^4 z^2 +
 20 b^8 c^4 u^5 v^2 w^2 x^4 z^2 -
 12 a^2 b^4 c^6 u^5 v^2 w^2 x^4 z^2 +
 20 b^6 c^6 u^5 v^2 w^2 x^4 z^2 + 4 b^4 c^8 u^5 v^2 w^2 x^4 z^2 +
 2 a^10 b^2 u^4 v^3 w^2 x^4 z^2 - 10 a^8 b^4 u^4 v^3 w^2 x^4 z^2 +
 20 a^6 b^6 u^4 v^3 w^2 x^4 z^2 - 20 a^4 b^8 u^4 v^3 w^2 x^4 z^2 +
 10 a^2 b^10 u^4 v^3 w^2 x^4 z^2 - 2 b^12 u^4 v^3 w^2 x^4 z^2 -
 14 a^8 b^2 c^2 u^4 v^3 w^2 x^4 z^2 +
 52 a^6 b^4 c^2 u^4 v^3 w^2 x^4 z^2 -
 72 a^4 b^6 c^2 u^4 v^3 w^2 x^4 z^2 +
 44 a^2 b^8 c^2 u^4 v^3 w^2 x^4 z^2 -
 10 b^10 c^2 u^4 v^3 w^2 x^4 z^2 +
 36 a^6 b^2 c^4 u^4 v^3 w^2 x^4 z^2 -
 68 a^4 b^4 c^4 u^4 v^3 w^2 x^4 z^2 +
 36 a^2 b^6 c^4 u^4 v^3 w^2 x^4 z^2 - 4 b^8 c^4 u^4 v^3 w^2 x^4 z^2 -
 44 a^4 b^2 c^6 u^4 v^3 w^2 x^4 z^2 +
 20 a^2 b^4 c^6 u^4 v^3 w^2 x^4 z^2 +
 16 b^6 c^6 u^4 v^3 w^2 x^4 z^2 +
 26 a^2 b^2 c^8 u^4 v^3 w^2 x^4 z^2 + 6 b^4 c^8 u^4 v^3 w^2 x^4 z^2 -
 6 b^2 c^10 u^4 v^3 w^2 x^4 z^2 + a^12 u^3 v^4 w^2 x^4 z^2 -
 2 a^10 b^2 u^3 v^4 w^2 x^4 z^2 - 5 a^8 b^4 u^3 v^4 w^2 x^4 z^2 +
 20 a^6 b^6 u^3 v^4 w^2 x^4 z^2 - 25 a^4 b^8 u^3 v^4 w^2 x^4 z^2 +
 14 a^2 b^10 u^3 v^4 w^2 x^4 z^2 - 3 b^12 u^3 v^4 w^2 x^4 z^2 -
 6 a^10 c^2 u^3 v^4 w^2 x^4 z^2 + 3 a^8 b^2 c^2 u^3 v^4 w^2 x^4 z^2 +
 40 a^6 b^4 c^2 u^3 v^4 w^2 x^4 z^2 -
 78 a^4 b^6 c^2 u^3 v^4 w^2 x^4 z^2 +
 54 a^2 b^8 c^2 u^3 v^4 w^2 x^4 z^2 -
 13 b^10 c^2 u^3 v^4 w^2 x^4 z^2 + 15 a^8 c^4 u^3 v^4 w^2 x^4 z^2 +
 16 a^6 b^2 c^4 u^3 v^4 w^2 x^4 z^2 -
 18 a^4 b^4 c^4 u^3 v^4 w^2 x^4 z^2 -
 8 a^2 b^6 c^4 u^3 v^4 w^2 x^4 z^2 - 5 b^8 c^4 u^3 v^4 w^2 x^4 z^2 -
 20 a^6 c^6 u^3 v^4 w^2 x^4 z^2 -
 46 a^4 b^2 c^6 u^3 v^4 w^2 x^4 z^2 +
 50 b^6 c^6 u^3 v^4 w^2 x^4 z^2 + 15 a^4 c^8 u^3 v^4 w^2 x^4 z^2 +
 42 a^2 b^2 c^8 u^3 v^4 w^2 x^4 z^2 -
 17 b^4 c^8 u^3 v^4 w^2 x^4 z^2 - 6 a^2 c^10 u^3 v^4 w^2 x^4 z^2 -
 13 b^2 c^10 u^3 v^4 w^2 x^4 z^2 + c^12 u^3 v^4 w^2 x^4 z^2 +
 a^12 u^2 v^5 w^2 x^4 z^2 - 4 a^10 b^2 u^2 v^5 w^2 x^4 z^2 +
 5 a^8 b^4 u^2 v^5 w^2 x^4 z^2 - 5 a^4 b^8 u^2 v^5 w^2 x^4 z^2 +
 4 a^2 b^10 u^2 v^5 w^2 x^4 z^2 - b^12 u^2 v^5 w^2 x^4 z^2 -
 8 a^10 c^2 u^2 v^5 w^2 x^4 z^2 +
 14 a^8 b^2 c^2 u^2 v^5 w^2 x^4 z^2 +
 4 a^6 b^4 c^2 u^2 v^5 w^2 x^4 z^2 -
 16 a^4 b^6 c^2 u^2 v^5 w^2 x^4 z^2 +
 4 a^2 b^8 c^2 u^2 v^5 w^2 x^4 z^2 + 2 b^10 c^2 u^2 v^5 w^2 x^4 z^2 +
 25 a^8 c^4 u^2 v^5 w^2 x^4 z^2 -
 10 a^6 b^2 c^4 u^2 v^5 w^2 x^4 z^2 +
 4 a^4 b^4 c^4 u^2 v^5 w^2 x^4 z^2 -
 6 a^2 b^6 c^4 u^2 v^5 w^2 x^4 z^2 - 13 b^8 c^4 u^2 v^5 w^2 x^4 z^2 -
 40 a^6 c^6 u^2 v^5 w^2 x^4 z^2 - 2 a^4 b^2 c^6 u^2 v^5 w^2 x^4 z^2 +
 16 a^2 b^4 c^6 u^2 v^5 w^2 x^4 z^2 +
 34 b^6 c^6 u^2 v^5 w^2 x^4 z^2 + 35 a^4 c^8 u^2 v^5 w^2 x^4 z^2 -
 2 a^2 b^2 c^8 u^2 v^5 w^2 x^4 z^2 - 29 b^4 c^8 u^2 v^5 w^2 x^4 z^2 -
 16 a^2 c^10 u^2 v^5 w^2 x^4 z^2 + 4 b^2 c^10 u^2 v^5 w^2 x^4 z^2 +
 3 c^12 u^2 v^5 w^2 x^4 z^2 - 4 a^10 c^2 u v^6 w^2 x^4 z^2 +
 7 a^8 b^2 c^2 u v^6 w^2 x^4 z^2 - 2 a^4 b^6 c^2 u v^6 w^2 x^4 z^2 -
 4 a^2 b^8 c^2 u v^6 w^2 x^4 z^2 + 3 b^10 c^2 u v^6 w^2 x^4 z^2 +
 11 a^8 c^4 u v^6 w^2 x^4 z^2 - 14 a^6 b^2 c^4 u v^6 w^2 x^4 z^2 +
 8 a^4 b^4 c^4 u v^6 w^2 x^4 z^2 + 6 a^2 b^6 c^4 u v^6 w^2 x^4 z^2 -
 11 b^8 c^4 u v^6 w^2 x^4 z^2 - 10 a^6 c^6 u v^6 w^2 x^4 z^2 +
 6 a^4 b^2 c^6 u v^6 w^2 x^4 z^2 - 2 a^2 b^4 c^6 u v^6 w^2 x^4 z^2 +
 14 b^6 c^6 u v^6 w^2 x^4 z^2 + 4 a^4 c^8 u v^6 w^2 x^4 z^2 +
 2 a^2 b^2 c^8 u v^6 w^2 x^4 z^2 - 6 b^4 c^8 u v^6 w^2 x^4 z^2 -
 2 a^2 c^10 u v^6 w^2 x^4 z^2 - b^2 c^10 u v^6 w^2 x^4 z^2 +
 c^12 u v^6 w^2 x^4 z^2 + 2 a^8 b^4 u^5 v w^3 x^4 z^2 -
 8 a^6 b^6 u^5 v w^3 x^4 z^2 + 12 a^4 b^8 u^5 v w^3 x^4 z^2 -
 8 a^2 b^10 u^5 v w^3 x^4 z^2 + 2 b^12 u^5 v w^3 x^4 z^2 -
 8 a^6 b^4 c^2 u^5 v w^3 x^4 z^2 + 20 a^4 b^6 c^2 u^5 v w^3 x^4 z^2 -
 16 a^2 b^8 c^2 u^5 v w^3 x^4 z^2 + 4 b^10 c^2 u^5 v w^3 x^4 z^2 +
 12 a^4 b^4 c^4 u^5 v w^3 x^4 z^2 -
 16 a^2 b^6 c^4 u^5 v w^3 x^4 z^2 + 4 b^8 c^4 u^5 v w^3 x^4 z^2 -
 8 a^2 b^4 c^6 u^5 v w^3 x^4 z^2 + 4 b^6 c^6 u^5 v w^3 x^4 z^2 +
 2 b^4 c^8 u^5 v w^3 x^4 z^2 - a^8 b^4 u^4 v^2 w^3 x^4 z^2 +
 4 a^6 b^6 u^4 v^2 w^3 x^4 z^2 - 6 a^4 b^8 u^4 v^2 w^3 x^4 z^2 +
 4 a^2 b^10 u^4 v^2 w^3 x^4 z^2 - b^12 u^4 v^2 w^3 x^4 z^2 -
 2 a^6 b^4 c^2 u^4 v^2 w^3 x^4 z^2 -
 14 a^4 b^6 c^2 u^4 v^2 w^3 x^4 z^2 +
 34 a^2 b^8 c^2 u^4 v^2 w^3 x^4 z^2 -
 18 b^10 c^2 u^4 v^2 w^3 x^4 z^2 +
 12 a^4 b^4 c^4 u^4 v^2 w^3 x^4 z^2 -
 16 a^2 b^6 c^4 u^4 v^2 w^3 x^4 z^2 -
 12 b^8 c^4 u^4 v^2 w^3 x^4 z^2 -
 14 a^2 b^4 c^6 u^4 v^2 w^3 x^4 z^2 +
 26 b^6 c^6 u^4 v^2 w^3 x^4 z^2 + 5 b^4 c^8 u^4 v^2 w^3 x^4 z^2 -
 3 a^8 b^4 u^3 v^3 w^3 x^4 z^2 + 12 a^6 b^6 u^3 v^3 w^3 x^4 z^2 -
 18 a^4 b^8 u^3 v^3 w^3 x^4 z^2 + 12 a^2 b^10 u^3 v^3 w^3 x^4 z^2 -
 3 b^12 u^3 v^3 w^3 x^4 z^2 - 6 a^8 b^2 c^2 u^3 v^3 w^3 x^4 z^2 +
 20 a^6 b^4 c^2 u^3 v^3 w^3 x^4 z^2 -
 32 a^4 b^6 c^2 u^3 v^3 w^3 x^4 z^2 +
 28 a^2 b^8 c^2 u^3 v^3 w^3 x^4 z^2 -
 10 b^10 c^2 u^3 v^3 w^3 x^4 z^2 +
 24 a^6 b^2 c^4 u^3 v^3 w^3 x^4 z^2 -
 50 a^4 b^4 c^4 u^3 v^3 w^3 x^4 z^2 -
 20 a^2 b^6 c^4 u^3 v^3 w^3 x^4 z^2 - 2 b^8 c^4 u^3 v^3 w^3 x^4 z^2 -
 36 a^4 b^2 c^6 u^3 v^3 w^3 x^4 z^2 +
 52 a^2 b^4 c^6 u^3 v^3 w^3 x^4 z^2 +
 40 b^6 c^6 u^3 v^3 w^3 x^4 z^2 +
 24 a^2 b^2 c^8 u^3 v^3 w^3 x^4 z^2 -
 19 b^4 c^8 u^3 v^3 w^3 x^4 z^2 - 6 b^2 c^10 u^3 v^3 w^3 x^4 z^2 +
 2 a^12 u^2 v^4 w^3 x^4 z^2 - 6 a^10 b^2 u^2 v^4 w^3 x^4 z^2 +
 5 a^8 b^4 u^2 v^4 w^3 x^4 z^2 - 2 a^2 b^10 u^2 v^4 w^3 x^4 z^2 +
 b^12 u^2 v^4 w^3 x^4 z^2 - 12 a^10 c^2 u^2 v^4 w^3 x^4 z^2 +
 29 a^8 b^2 c^2 u^2 v^4 w^3 x^4 z^2 -
 30 a^4 b^6 c^2 u^2 v^4 w^3 x^4 z^2 +
 4 a^2 b^8 c^2 u^2 v^4 w^3 x^4 z^2 + 9 b^10 c^2 u^2 v^4 w^3 x^4 z^2 +
 30 a^8 c^4 u^2 v^4 w^3 x^4 z^2 -
 52 a^6 b^2 c^4 u^2 v^4 w^3 x^4 z^2 +
 6 a^4 b^4 c^4 u^2 v^4 w^3 x^4 z^2 +
 8 a^2 b^6 c^4 u^2 v^4 w^3 x^4 z^2 - 40 b^8 c^4 u^2 v^4 w^3 x^4 z^2 -
 40 a^6 c^6 u^2 v^4 w^3 x^4 z^2 +
 42 a^4 b^2 c^6 u^2 v^4 w^3 x^4 z^2 +
 16 a^2 b^4 c^6 u^2 v^4 w^3 x^4 z^2 +
 54 b^6 c^6 u^2 v^4 w^3 x^4 z^2 + 30 a^4 c^8 u^2 v^4 w^3 x^4 z^2 -
 14 a^2 b^2 c^8 u^2 v^4 w^3 x^4 z^2 -
 27 b^4 c^8 u^2 v^4 w^3 x^4 z^2 - 12 a^2 c^10 u^2 v^4 w^3 x^4 z^2 +
 b^2 c^10 u^2 v^4 w^3 x^4 z^2 + 2 c^12 u^2 v^4 w^3 x^4 z^2 +
 2 a^12 u v^5 w^3 x^4 z^2 - 6 a^10 b^2 u v^5 w^3 x^4 z^2 +
 5 a^8 b^4 u v^5 w^3 x^4 z^2 - 2 a^2 b^10 u v^5 w^3 x^4 z^2 +
 b^12 u v^5 w^3 x^4 z^2 - 10 a^10 c^2 u v^5 w^3 x^4 z^2 +
 29 a^8 b^2 c^2 u v^5 w^3 x^4 z^2 -
 20 a^6 b^4 c^2 u v^5 w^3 x^4 z^2 - 2 a^4 b^6 c^2 u v^5 w^3 x^4 z^2 -
 2 a^2 b^8 c^2 u v^5 w^3 x^4 z^2 + 5 b^10 c^2 u v^5 w^3 x^4 z^2 +
 22 a^8 c^4 u v^5 w^3 x^4 z^2 - 32 a^6 b^2 c^4 u v^5 w^3 x^4 z^2 +
 26 a^4 b^4 c^4 u v^5 w^3 x^4 z^2 - 4 a^2 b^6 c^4 u v^5 w^3 x^4 z^2 -
 28 b^8 c^4 u v^5 w^3 x^4 z^2 - 28 a^6 c^6 u v^5 w^3 x^4 z^2 +
 2 a^4 b^2 c^6 u v^5 w^3 x^4 z^2 + 12 a^2 b^4 c^6 u v^5 w^3 x^4 z^2 +
 42 b^6 c^6 u v^5 w^3 x^4 z^2 + 22 a^4 c^8 u v^5 w^3 x^4 z^2 +
 6 a^2 b^2 c^8 u v^5 w^3 x^4 z^2 - 23 b^4 c^8 u v^5 w^3 x^4 z^2 -
 10 a^2 c^10 u v^5 w^3 x^4 z^2 + b^2 c^10 u v^5 w^3 x^4 z^2 +
 2 c^12 u v^5 w^3 x^4 z^2 - 2 a^10 c^2 v^6 w^3 x^4 z^2 +
 2 a^8 b^2 c^2 v^6 w^3 x^4 z^2 + 2 a^6 b^4 c^2 v^6 w^3 x^4 z^2 -
 2 a^4 b^6 c^2 v^6 w^3 x^4 z^2 + 6 a^8 c^4 v^6 w^3 x^4 z^2 -
 4 a^6 b^2 c^4 v^6 w^3 x^4 z^2 - 2 a^4 b^4 c^4 v^6 w^3 x^4 z^2 -
 6 a^6 c^6 v^6 w^3 x^4 z^2 + 2 a^4 b^2 c^6 v^6 w^3 x^4 z^2 +
 2 a^4 c^8 v^6 w^3 x^4 z^2 + 6 a^8 b^4 u^4 v w^4 x^4 z^2 -
 14 a^6 b^6 u^4 v w^4 x^4 z^2 + 6 a^4 b^8 u^4 v w^4 x^4 z^2 +
 6 a^2 b^10 u^4 v w^4 x^4 z^2 - 4 b^12 u^4 v w^4 x^4 z^2 -
 24 a^6 b^4 c^2 u^4 v w^4 x^4 z^2 +
 30 a^4 b^6 c^2 u^4 v w^4 x^4 z^2 - 4 a^2 b^8 c^2 u^4 v w^4 x^4 z^2 -
 2 b^10 c^2 u^4 v w^4 x^4 z^2 + 36 a^4 b^4 c^4 u^4 v w^4 x^4 z^2 -
 18 a^2 b^6 c^4 u^4 v w^4 x^4 z^2 - 2 b^8 c^4 u^4 v w^4 x^4 z^2 -
 24 a^2 b^4 c^6 u^4 v w^4 x^4 z^2 + 2 b^6 c^6 u^4 v w^4 x^4 z^2 +
 6 b^4 c^8 u^4 v w^4 x^4 z^2 + 4 a^8 b^4 u^3 v^2 w^4 x^4 z^2 -
 10 a^6 b^6 u^3 v^2 w^4 x^4 z^2 + 6 a^4 b^8 u^3 v^2 w^4 x^4 z^2 +
 2 a^2 b^10 u^3 v^2 w^4 x^4 z^2 - 2 b^12 u^3 v^2 w^4 x^4 z^2 -
 10 a^6 b^4 c^2 u^3 v^2 w^4 x^4 z^2 -
 16 a^4 b^6 c^2 u^3 v^2 w^4 x^4 z^2 +
 14 a^2 b^8 c^2 u^3 v^2 w^4 x^4 z^2 +
 12 b^10 c^2 u^3 v^2 w^4 x^4 z^2 +
 6 a^4 b^4 c^4 u^3 v^2 w^4 x^4 z^2 +
 14 a^2 b^6 c^4 u^3 v^2 w^4 x^4 z^2 -
 20 b^8 c^4 u^3 v^2 w^4 x^4 z^2 + 2 a^2 b^4 c^6 u^3 v^2 w^4 x^4 z^2 +
 12 b^6 c^6 u^3 v^2 w^4 x^4 z^2 - 2 b^4 c^8 u^3 v^2 w^4 x^4 z^2 -
 6 a^10 b^2 u^2 v^3 w^4 x^4 z^2 + 12 a^8 b^4 u^2 v^3 w^4 x^4 z^2 -
 4 a^6 b^6 u^2 v^3 w^4 x^4 z^2 - 6 a^2 b^10 u^2 v^3 w^4 x^4 z^2 +
 4 b^12 u^2 v^3 w^4 x^4 z^2 + 26 a^8 b^2 c^2 u^2 v^3 w^4 x^4 z^2 -
 44 a^6 b^4 c^2 u^2 v^3 w^4 x^4 z^2 -
 16 a^4 b^6 c^2 u^2 v^3 w^4 x^4 z^2 +
 28 a^2 b^8 c^2 u^2 v^3 w^4 x^4 z^2 +
 6 b^10 c^2 u^2 v^3 w^4 x^4 z^2 -
 44 a^6 b^2 c^4 u^2 v^3 w^4 x^4 z^2 +
 28 a^4 b^4 c^4 u^2 v^3 w^4 x^4 z^2 -
 36 a^2 b^6 c^4 u^2 v^3 w^4 x^4 z^2 -
 44 b^8 c^4 u^2 v^3 w^4 x^4 z^2 +
 36 a^4 b^2 c^6 u^2 v^3 w^4 x^4 z^2 +
 28 a^2 b^4 c^6 u^2 v^3 w^4 x^4 z^2 +
 56 b^6 c^6 u^2 v^3 w^4 x^4 z^2 -
 14 a^2 b^2 c^8 u^2 v^3 w^4 x^4 z^2 -
 24 b^4 c^8 u^2 v^3 w^4 x^4 z^2 + 2 b^2 c^10 u^2 v^3 w^4 x^4 z^2 +
 a^12 u v^4 w^4 x^4 z^2 - 8 a^10 b^2 u v^4 w^4 x^4 z^2 +
 14 a^8 b^4 u v^4 w^4 x^4 z^2 - 6 a^6 b^6 u v^4 w^4 x^4 z^2 -
 a^4 b^8 u v^4 w^4 x^4 z^2 - 2 a^2 b^10 u v^4 w^4 x^4 z^2 +
 2 b^12 u v^4 w^4 x^4 z^2 - 6 a^10 c^2 u v^4 w^4 x^4 z^2 +
 31 a^8 b^2 c^2 u v^4 w^4 x^4 z^2 -
 28 a^6 b^4 c^2 u v^4 w^4 x^4 z^2 + 4 a^4 b^6 c^2 u v^4 w^4 x^4 z^2 -
 2 a^2 b^8 c^2 u v^4 w^4 x^4 z^2 + b^10 c^2 u v^4 w^4 x^4 z^2 +
 15 a^8 c^4 u v^4 w^4 x^4 z^2 - 50 a^6 b^2 c^4 u v^4 w^4 x^4 z^2 -
 14 a^4 b^4 c^4 u v^4 w^4 x^4 z^2 -
 24 a^2 b^6 c^4 u v^4 w^4 x^4 z^2 - 23 b^8 c^4 u v^4 w^4 x^4 z^2 -
 20 a^6 c^6 u v^4 w^4 x^4 z^2 + 44 a^4 b^2 c^6 u v^4 w^4 x^4 z^2 +
 56 a^2 b^4 c^6 u v^4 w^4 x^4 z^2 + 42 b^6 c^6 u v^4 w^4 x^4 z^2 +
 15 a^4 c^8 u v^4 w^4 x^4 z^2 - 22 a^2 b^2 c^8 u v^4 w^4 x^4 z^2 -
 28 b^4 c^8 u v^4 w^4 x^4 z^2 - 6 a^2 c^10 u v^4 w^4 x^4 z^2 +
 5 b^2 c^10 u v^4 w^4 x^4 z^2 + c^12 u v^4 w^4 x^4 z^2 +
 a^12 v^5 w^4 x^4 z^2 - 2 a^10 b^2 v^5 w^4 x^4 z^2 +
 2 a^6 b^6 v^5 w^4 x^4 z^2 - a^4 b^8 v^5 w^4 x^4 z^2 -
 4 a^10 c^2 v^5 w^4 x^4 z^2 + 14 a^8 b^2 c^2 v^5 w^4 x^4 z^2 -
 10 a^4 b^6 c^2 v^5 w^4 x^4 z^2 + 6 a^8 c^4 v^5 w^4 x^4 z^2 -
 22 a^6 b^2 c^4 v^5 w^4 x^4 z^2 - 4 a^6 c^6 v^5 w^4 x^4 z^2 +
 10 a^4 b^2 c^6 v^5 w^4 x^4 z^2 + a^4 c^8 v^5 w^4 x^4 z^2 +
 6 a^8 b^4 u^3 v w^5 x^4 z^2 - 4 a^6 b^6 u^3 v w^5 x^4 z^2 -
 8 a^4 b^8 u^3 v w^5 x^4 z^2 + 4 a^2 b^10 u^3 v w^5 x^4 z^2 +
 2 b^12 u^3 v w^5 x^4 z^2 - 24 a^6 b^4 c^2 u^3 v w^5 x^4 z^2 +
 8 a^2 b^8 c^2 u^3 v w^5 x^4 z^2 + 36 a^4 b^4 c^4 u^3 v w^5 x^4 z^2 +
 12 a^2 b^6 c^4 u^3 v w^5 x^4 z^2 -
 24 a^2 b^4 c^6 u^3 v w^5 x^4 z^2 - 8 b^6 c^6 u^3 v w^5 x^4 z^2 +
 6 b^4 c^8 u^3 v w^5 x^4 z^2 + 11 a^8 b^4 u^2 v^2 w^5 x^4 z^2 -
 12 a^6 b^6 u^2 v^2 w^5 x^4 z^2 - 6 a^4 b^8 u^2 v^2 w^5 x^4 z^2 +
 4 a^2 b^10 u^2 v^2 w^5 x^4 z^2 + 3 b^12 u^2 v^2 w^5 x^4 z^2 -
 30 a^6 b^4 c^2 u^2 v^2 w^5 x^4 z^2 -
 2 a^4 b^6 c^2 u^2 v^2 w^5 x^4 z^2 -
 10 a^2 b^8 c^2 u^2 v^2 w^5 x^4 z^2 -
 6 b^10 c^2 u^2 v^2 w^5 x^4 z^2 +
 24 a^4 b^4 c^4 u^2 v^2 w^5 x^4 z^2 +
 8 a^2 b^6 c^4 u^2 v^2 w^5 x^4 z^2 -
 2 a^2 b^4 c^6 u^2 v^2 w^5 x^4 z^2 + 6 b^6 c^6 u^2 v^2 w^5 x^4 z^2 -
 3 b^4 c^8 u^2 v^2 w^5 x^4 z^2 - 4 a^10 b^2 u v^3 w^5 x^4 z^2 +
 9 a^8 b^4 u v^3 w^5 x^4 z^2 - 4 a^6 b^6 u v^3 w^5 x^4 z^2 -
 2 a^4 b^8 u v^3 w^5 x^4 z^2 + b^12 u v^3 w^5 x^4 z^2 +
 19 a^8 b^2 c^2 u v^3 w^5 x^4 z^2 -
 24 a^6 b^4 c^2 u v^3 w^5 x^4 z^2 -
 26 a^4 b^6 c^2 u v^3 w^5 x^4 z^2 - 16 a^2 b^8 c^2 u v^3 w^5 x^4 z^2 -
  b^10 c^2 u v^3 w^5 x^4 z^2 - 36 a^6 b^2 c^4 u v^3 w^5 x^4 z^2 +
 10 a^4 b^4 c^4 u v^3 w^5 x^4 z^2 +
 16 a^2 b^6 c^4 u v^3 w^5 x^4 z^2 - 6 b^8 c^4 u v^3 w^5 x^4 z^2 +
 34 a^4 b^2 c^6 u v^3 w^5 x^4 z^2 +
 16 a^2 b^4 c^6 u v^3 w^5 x^4 z^2 + 14 b^6 c^6 u v^3 w^5 x^4 z^2 -
 16 a^2 b^2 c^8 u v^3 w^5 x^4 z^2 - 11 b^4 c^8 u v^3 w^5 x^4 z^2 +
 3 b^2 c^10 u v^3 w^5 x^4 z^2 - 4 a^10 b^2 v^4 w^5 x^4 z^2 +
 4 a^8 b^4 v^4 w^5 x^4 z^2 + 4 a^6 b^6 v^4 w^5 x^4 z^2 -
 4 a^4 b^8 v^4 w^5 x^4 z^2 + 12 a^8 b^2 c^2 v^4 w^5 x^4 z^2 -
 16 a^6 b^4 c^2 v^4 w^5 x^4 z^2 - 12 a^4 b^6 c^2 v^4 w^5 x^4 z^2 -
 12 a^6 b^2 c^4 v^4 w^5 x^4 z^2 + 12 a^4 b^4 c^4 v^4 w^5 x^4 z^2 +
 4 a^4 b^2 c^6 v^4 w^5 x^4 z^2 + 2 a^8 b^4 u^2 v w^6 x^4 z^2 +
 2 a^6 b^6 u^2 v w^6 x^4 z^2 - 2 a^4 b^8 u^2 v w^6 x^4 z^2 -
 2 a^2 b^10 u^2 v w^6 x^4 z^2 - 8 a^6 b^4 c^2 u^2 v w^6 x^4 z^2 -
 10 a^4 b^6 c^2 u^2 v w^6 x^4 z^2 - 4 a^2 b^8 c^2 u^2 v w^6 x^4 z^2 -
 2 b^10 c^2 u^2 v w^6 x^4 z^2 + 12 a^4 b^4 c^4 u^2 v w^6 x^4 z^2 +
 14 a^2 b^6 c^4 u^2 v w^6 x^4 z^2 + 6 b^8 c^4 u^2 v w^6 x^4 z^2 -
 8 a^2 b^4 c^6 u^2 v w^6 x^4 z^2 - 6 b^6 c^6 u^2 v w^6 x^4 z^2 +
 2 b^4 c^8 u^2 v w^6 x^4 z^2 + 6 a^8 b^4 u v^2 w^6 x^4 z^2 +
 2 a^6 b^6 u v^2 w^6 x^4 z^2 - 6 a^4 b^8 u v^2 w^6 x^4 z^2 -
 2 a^2 b^10 u v^2 w^6 x^4 z^2 - 18 a^6 b^4 c^2 u v^2 w^6 x^4 z^2 -
 12 a^4 b^6 c^2 u v^2 w^6 x^4 z^2 - 2 a^2 b^8 c^2 u v^2 w^6 x^4 z^2 +
 18 a^4 b^4 c^4 u v^2 w^6 x^4 z^2 +
 10 a^2 b^6 c^4 u v^2 w^6 x^4 z^2 - 6 a^2 b^4 c^6 u v^2 w^6 x^4 z^2 +
 4 a^8 b^4 v^3 w^6 x^4 z^2 - 4 a^4 b^8 v^3 w^6 x^4 z^2 -
 8 a^6 b^4 c^2 v^3 w^6 x^4 z^2 + 4 a^4 b^4 c^4 v^3 w^6 x^4 z^2 +
 4 a^6 b^2 c^4 u^6 v^3 x^3 y z^2 - 12 a^4 b^4 c^4 u^6 v^3 x^3 y z^2 +
 12 a^2 b^6 c^4 u^6 v^3 x^3 y z^2 - 4 b^8 c^4 u^6 v^3 x^3 y z^2 -
 12 a^4 b^2 c^6 u^6 v^3 x^3 y z^2 +
 24 a^2 b^4 c^6 u^6 v^3 x^3 y z^2 - 12 b^6 c^6 u^6 v^3 x^3 y z^2 +
 12 a^2 b^2 c^8 u^6 v^3 x^3 y z^2 - 12 b^4 c^8 u^6 v^3 x^3 y z^2 -
 4 b^2 c^10 u^6 v^3 x^3 y z^2 + 3 a^8 c^4 u^5 v^4 x^3 y z^2 -
 4 a^6 b^2 c^4 u^5 v^4 x^3 y z^2 - 6 a^4 b^4 c^4 u^5 v^4 x^3 y z^2 +
 12 a^2 b^6 c^4 u^5 v^4 x^3 y z^2 - 5 b^8 c^4 u^5 v^4 x^3 y z^2 -
 12 a^6 c^6 u^5 v^4 x^3 y z^2 + 16 a^4 b^2 c^6 u^5 v^4 x^3 y z^2 +
 4 a^2 b^4 c^6 u^5 v^4 x^3 y z^2 - 8 b^6 c^6 u^5 v^4 x^3 y z^2 +
 18 a^4 c^8 u^5 v^4 x^3 y z^2 - 20 a^2 b^2 c^8 u^5 v^4 x^3 y z^2 +
 2 b^4 c^8 u^5 v^4 x^3 y z^2 - 12 a^2 c^10 u^5 v^4 x^3 y z^2 +
 8 b^2 c^10 u^5 v^4 x^3 y z^2 + 3 c^12 u^5 v^4 x^3 y z^2 +
 4 a^8 c^4 u^4 v^5 x^3 y z^2 - 12 a^6 b^2 c^4 u^4 v^5 x^3 y z^2 +
 12 a^4 b^4 c^4 u^4 v^5 x^3 y z^2 - 4 a^2 b^6 c^4 u^4 v^5 x^3 y z^2 -
 10 a^6 c^6 u^4 v^5 x^3 y z^2 + 18 a^4 b^2 c^6 u^4 v^5 x^3 y z^2 -
 6 a^2 b^4 c^6 u^4 v^5 x^3 y z^2 - 2 b^6 c^6 u^4 v^5 x^3 y z^2 +
 6 a^4 c^8 u^4 v^5 x^3 y z^2 - 8 a^2 b^2 c^8 u^4 v^5 x^3 y z^2 +
 2 b^4 c^8 u^4 v^5 x^3 y z^2 + 2 a^2 c^10 u^4 v^5 x^3 y z^2 +
 2 b^2 c^10 u^4 v^5 x^3 y z^2 - 2 c^12 u^4 v^5 x^3 y z^2 +
 a^8 c^4 u^3 v^6 x^3 y z^2 - 4 a^6 b^2 c^4 u^3 v^6 x^3 y z^2 +
 6 a^4 b^4 c^4 u^3 v^6 x^3 y z^2 - 4 a^2 b^6 c^4 u^3 v^6 x^3 y z^2 +
 b^8 c^4 u^3 v^6 x^3 y z^2 - 2 a^6 c^6 u^3 v^6 x^3 y z^2 +
 2 a^4 b^2 c^6 u^3 v^6 x^3 y z^2 + 2 a^2 b^4 c^6 u^3 v^6 x^3 y z^2 -
 2 b^6 c^6 u^3 v^6 x^3 y z^2 + 2 a^2 c^10 u^3 v^6 x^3 y z^2 +
 2 b^2 c^10 u^3 v^6 x^3 y z^2 - c^12 u^3 v^6 x^3 y z^2 -
 2 a^8 b^2 c^2 u^6 v^2 w x^3 y z^2 +
 8 a^6 b^4 c^2 u^6 v^2 w x^3 y z^2 -
 12 a^4 b^6 c^2 u^6 v^2 w x^3 y z^2 +
 8 a^2 b^8 c^2 u^6 v^2 w x^3 y z^2 - 2 b^10 c^2 u^6 v^2 w x^3 y z^2 +
 8 a^6 b^2 c^4 u^6 v^2 w x^3 y z^2 -
 32 a^4 b^4 c^4 u^6 v^2 w x^3 y z^2 +
 40 a^2 b^6 c^4 u^6 v^2 w x^3 y z^2 -
 16 b^8 c^4 u^6 v^2 w x^3 y z^2 -
 12 a^4 b^2 c^6 u^6 v^2 w x^3 y z^2 +
 40 a^2 b^4 c^6 u^6 v^2 w x^3 y z^2 -
 12 b^6 c^6 u^6 v^2 w x^3 y z^2 + 8 a^2 b^2 c^8 u^6 v^2 w x^3 y z^2 -
 16 b^4 c^8 u^6 v^2 w x^3 y z^2 - 2 b^2 c^10 u^6 v^2 w x^3 y z^2 +
 2 a^12 u^5 v^3 w x^3 y z^2 - 12 a^10 b^2 u^5 v^3 w x^3 y z^2 +
 30 a^8 b^4 u^5 v^3 w x^3 y z^2 - 40 a^6 b^6 u^5 v^3 w x^3 y z^2 +
 30 a^4 b^8 u^5 v^3 w x^3 y z^2 - 12 a^2 b^10 u^5 v^3 w x^3 y z^2 +
 2 b^12 u^5 v^3 w x^3 y z^2 - 9 a^10 c^2 u^5 v^3 w x^3 y z^2 +
 41 a^8 b^2 c^2 u^5 v^3 w x^3 y z^2 -
 74 a^6 b^4 c^2 u^5 v^3 w x^3 y z^2 +
 66 a^4 b^6 c^2 u^5 v^3 w x^3 y z^2 -
 29 a^2 b^8 c^2 u^5 v^3 w x^3 y z^2 +
 5 b^10 c^2 u^5 v^3 w x^3 y z^2 + 15 a^8 c^4 u^5 v^3 w x^3 y z^2 -
 46 a^6 b^2 c^4 u^5 v^3 w x^3 y z^2 +
 44 a^4 b^4 c^4 u^5 v^3 w x^3 y z^2 -
 10 a^2 b^6 c^4 u^5 v^3 w x^3 y z^2 - 3 b^8 c^4 u^5 v^3 w x^3 y z^2 -
 10 a^6 c^6 u^5 v^3 w x^3 y z^2 +
 12 a^4 b^2 c^6 u^5 v^3 w x^3 y z^2 +
 22 a^2 b^4 c^6 u^5 v^3 w x^3 y z^2 +
 24 b^6 c^6 u^5 v^3 w x^3 y z^2 +
 10 a^2 b^2 c^8 u^5 v^3 w x^3 y z^2 -
 22 b^4 c^8 u^5 v^3 w x^3 y z^2 + 3 a^2 c^10 u^5 v^3 w x^3 y z^2 -
 5 b^2 c^10 u^5 v^3 w x^3 y z^2 - c^12 u^5 v^3 w x^3 y z^2 +
 6 a^12 u^4 v^4 w x^3 y z^2 - 36 a^10 b^2 u^4 v^4 w x^3 y z^2 +
 90 a^8 b^4 u^4 v^4 w x^3 y z^2 - 120 a^6 b^6 u^4 v^4 w x^3 y z^2 +
 90 a^4 b^8 u^4 v^4 w x^3 y z^2 - 36 a^2 b^10 u^4 v^4 w x^3 y z^2 +
 6 b^12 u^4 v^4 w x^3 y z^2 - 13 a^10 c^2 u^4 v^4 w x^3 y z^2 +
 57 a^8 b^2 c^2 u^4 v^4 w x^3 y z^2 -
 98 a^6 b^4 c^2 u^4 v^4 w x^3 y z^2 +
 82 a^4 b^6 c^2 u^4 v^4 w x^3 y z^2 -
 33 a^2 b^8 c^2 u^4 v^4 w x^3 y z^2 + 5 b^10 c^2 u^4 v^4 w x^3 y z^2 +
  a^8 c^4 u^4 v^4 w x^3 y z^2 + 20 a^6 b^2 c^4 u^4 v^4 w x^3 y z^2 -
 46 a^4 b^4 c^4 u^4 v^4 w x^3 y z^2 +
 28 a^2 b^6 c^4 u^4 v^4 w x^3 y z^2 - 3 b^8 c^4 u^4 v^4 w x^3 y z^2 +
 6 a^6 c^6 u^4 v^4 w x^3 y z^2 - 46 a^4 b^2 c^6 u^4 v^4 w x^3 y z^2 +
 82 a^2 b^4 c^6 u^4 v^4 w x^3 y z^2 + 6 b^6 c^6 u^4 v^4 w x^3 y z^2 +
 16 a^4 c^8 u^4 v^4 w x^3 y z^2 -
 16 a^2 b^2 c^8 u^4 v^4 w x^3 y z^2 -
 44 b^4 c^8 u^4 v^4 w x^3 y z^2 - 25 a^2 c^10 u^4 v^4 w x^3 y z^2 +
 21 b^2 c^10 u^4 v^4 w x^3 y z^2 + 9 c^12 u^4 v^4 w x^3 y z^2 +
 6 a^12 u^3 v^5 w x^3 y z^2 - 36 a^10 b^2 u^3 v^5 w x^3 y z^2 +
 90 a^8 b^4 u^3 v^5 w x^3 y z^2 - 120 a^6 b^6 u^3 v^5 w x^3 y z^2 +
 90 a^4 b^8 u^3 v^5 w x^3 y z^2 - 36 a^2 b^10 u^3 v^5 w x^3 y z^2 +
 6 b^12 u^3 v^5 w x^3 y z^2 - 3 a^10 c^2 u^3 v^5 w x^3 y z^2 +
 3 a^8 b^2 c^2 u^3 v^5 w x^3 y z^2 +
 18 a^6 b^4 c^2 u^3 v^5 w x^3 y z^2 -
 42 a^4 b^6 c^2 u^3 v^5 w x^3 y z^2 +
 33 a^2 b^8 c^2 u^3 v^5 w x^3 y z^2 -
 9 b^10 c^2 u^3 v^5 w x^3 y z^2 - 9 a^8 c^4 u^3 v^5 w x^3 y z^2 +
 50 a^6 b^2 c^4 u^3 v^5 w x^3 y z^2 -
 76 a^4 b^4 c^4 u^3 v^5 w x^3 y z^2 +
 38 a^2 b^6 c^4 u^3 v^5 w x^3 y z^2 - 3 b^8 c^4 u^3 v^5 w x^3 y z^2 -
 4 a^6 c^6 u^3 v^5 w x^3 y z^2 + 6 a^4 b^2 c^6 u^3 v^5 w x^3 y z^2 +
 14 b^6 c^6 u^3 v^5 w x^3 y z^2 + 6 a^4 c^8 u^3 v^5 w x^3 y z^2 -
 50 a^2 b^2 c^8 u^3 v^5 w x^3 y z^2 -
 24 b^4 c^8 u^3 v^5 w x^3 y z^2 + 15 a^2 c^10 u^3 v^5 w x^3 y z^2 +
 27 b^2 c^10 u^3 v^5 w x^3 y z^2 - 11 c^12 u^3 v^5 w x^3 y z^2 +
 2 a^12 u^2 v^6 w x^3 y z^2 - 12 a^10 b^2 u^2 v^6 w x^3 y z^2 +
 30 a^8 b^4 u^2 v^6 w x^3 y z^2 - 40 a^6 b^6 u^2 v^6 w x^3 y z^2 +
 30 a^4 b^8 u^2 v^6 w x^3 y z^2 - 12 a^2 b^10 u^2 v^6 w x^3 y z^2 +
 2 b^12 u^2 v^6 w x^3 y z^2 + a^10 c^2 u^2 v^6 w x^3 y z^2 -
 11 a^8 b^2 c^2 u^2 v^6 w x^3 y z^2 +
 34 a^6 b^4 c^2 u^2 v^6 w x^3 y z^2 -
 46 a^4 b^6 c^2 u^2 v^6 w x^3 y z^2 +
 29 a^2 b^8 c^2 u^2 v^6 w x^3 y z^2 -
 7 b^10 c^2 u^2 v^6 w x^3 y z^2 - 3 a^8 c^4 u^2 v^6 w x^3 y z^2 +
 8 a^6 b^2 c^4 u^2 v^6 w x^3 y z^2 -
 2 a^4 b^4 c^4 u^2 v^6 w x^3 y z^2 -
 8 a^2 b^6 c^4 u^2 v^6 w x^3 y z^2 + 5 b^8 c^4 u^2 v^6 w x^3 y z^2 -
 2 a^6 c^6 u^2 v^6 w x^3 y z^2 + 6 a^4 b^2 c^6 u^2 v^6 w x^3 y z^2 -
 14 a^2 b^4 c^6 u^2 v^6 w x^3 y z^2 +
 10 b^6 c^6 u^2 v^6 w x^3 y z^2 - 4 a^4 c^8 u^2 v^6 w x^3 y z^2 -
 4 a^2 b^2 c^8 u^2 v^6 w x^3 y z^2 - 20 b^4 c^8 u^2 v^6 w x^3 y z^2 +
 9 a^2 c^10 u^2 v^6 w x^3 y z^2 + 13 b^2 c^10 u^2 v^6 w x^3 y z^2 -
 3 c^12 u^2 v^6 w x^3 y z^2 + a^10 b^2 u^6 v w^2 x^3 y z^2 -
 5 a^8 b^4 u^6 v w^2 x^3 y z^2 + 10 a^6 b^6 u^6 v w^2 x^3 y z^2 -
 10 a^4 b^8 u^6 v w^2 x^3 y z^2 + 5 a^2 b^10 u^6 v w^2 x^3 y z^2 -
 b^12 u^6 v w^2 x^3 y z^2 - 5 a^8 b^2 c^2 u^6 v w^2 x^3 y z^2 +
 14 a^6 b^4 c^2 u^6 v w^2 x^3 y z^2 -
 12 a^4 b^6 c^2 u^6 v w^2 x^3 y z^2 +
 2 a^2 b^8 c^2 u^6 v w^2 x^3 y z^2 + b^10 c^2 u^6 v w^2 x^3 y z^2 +
 10 a^6 b^2 c^4 u^6 v w^2 x^3 y z^2 -
 12 a^4 b^4 c^4 u^6 v w^2 x^3 y z^2 +
 2 a^2 b^6 c^4 u^6 v w^2 x^3 y z^2 -
 10 a^4 b^2 c^6 u^6 v w^2 x^3 y z^2 +
 2 a^2 b^4 c^6 u^6 v w^2 x^3 y z^2 +
 5 a^2 b^2 c^8 u^6 v w^2 x^3 y z^2 + b^4 c^8 u^6 v w^2 x^3 y z^2 -
 b^2 c^10 u^6 v w^2 x^3 y z^2 - a^12 u^5 v^2 w^2 x^3 y z^2 +
 a^10 b^2 u^5 v^2 w^2 x^3 y z^2 + 10 a^8 b^4 u^5 v^2 w^2 x^3 y z^2 -
 30 a^6 b^6 u^5 v^2 w^2 x^3 y z^2 +
 35 a^4 b^8 u^5 v^2 w^2 x^3 y z^2 -
 19 a^2 b^10 u^5 v^2 w^2 x^3 y z^2 + 4 b^12 u^5 v^2 w^2 x^3 y z^2 +
 6 a^10 c^2 u^5 v^2 w^2 x^3 y z^2 -
 21 a^8 b^2 c^2 u^5 v^2 w^2 x^3 y z^2 -
 12 a^6 b^4 c^2 u^5 v^2 w^2 x^3 y z^2 +
 102 a^4 b^6 c^2 u^5 v^2 w^2 x^3 y z^2 -
 114 a^2 b^8 c^2 u^5 v^2 w^2 x^3 y z^2 +
 39 b^10 c^2 u^5 v^2 w^2 x^3 y z^2 -
 15 a^8 c^4 u^5 v^2 w^2 x^3 y z^2 +
 74 a^6 b^2 c^4 u^5 v^2 w^2 x^3 y z^2 -
 52 a^4 b^4 c^4 u^5 v^2 w^2 x^3 y z^2 -
 26 a^2 b^6 c^4 u^5 v^2 w^2 x^3 y z^2 +
 19 b^8 c^4 u^5 v^2 w^2 x^3 y z^2 +
 20 a^6 c^6 u^5 v^2 w^2 x^3 y z^2 -
 106 a^4 b^2 c^6 u^5 v^2 w^2 x^3 y z^2 +
 100 a^2 b^4 c^6 u^5 v^2 w^2 x^3 y z^2 +
 2 b^6 c^6 u^5 v^2 w^2 x^3 y z^2 - 15 a^4 c^8 u^5 v^2 w^2 x^3 y z^2 +
 69 a^2 b^2 c^8 u^5 v^2 w^2 x^3 y z^2 -
 46 b^4 c^8 u^5 v^2 w^2 x^3 y z^2 +
 6 a^2 c^10 u^5 v^2 w^2 x^3 y z^2 -
 17 b^2 c^10 u^5 v^2 w^2 x^3 y z^2 - c^12 u^5 v^2 w^2 x^3 y z^2 -
 a^12 u^4 v^3 w^2 x^3 y z^2 - 6 a^10 b^2 u^4 v^3 w^2 x^3 y z^2 +
 45 a^8 b^4 u^4 v^3 w^2 x^3 y z^2 -
 100 a^6 b^6 u^4 v^3 w^2 x^3 y z^2 +
 105 a^4 b^8 u^4 v^3 w^2 x^3 y z^2 -
 54 a^2 b^10 u^4 v^3 w^2 x^3 y z^2 + 11 b^12 u^4 v^3 w^2 x^3 y z^2 +
 2 a^10 c^2 u^4 v^3 w^2 x^3 y z^2 -
 18 a^8 b^2 c^2 u^4 v^3 w^2 x^3 y z^2 +
 8 a^6 b^4 c^2 u^4 v^3 w^2 x^3 y z^2 +
 64 a^4 b^6 c^2 u^4 v^3 w^2 x^3 y z^2 -
 90 a^2 b^8 c^2 u^4 v^3 w^2 x^3 y z^2 +
 34 b^10 c^2 u^4 v^3 w^2 x^3 y z^2 +
 5 a^8 c^4 u^4 v^3 w^2 x^3 y z^2 +
 62 a^6 b^2 c^4 u^4 v^3 w^2 x^3 y z^2 -
 120 a^4 b^4 c^4 u^4 v^3 w^2 x^3 y z^2 +
 114 a^2 b^6 c^4 u^4 v^3 w^2 x^3 y z^2 -
 61 b^8 c^4 u^4 v^3 w^2 x^3 y z^2 -
 20 a^6 c^6 u^4 v^3 w^2 x^3 y z^2 -
 18 a^4 b^2 c^6 u^4 v^3 w^2 x^3 y z^2 +
 92 a^2 b^4 c^6 u^4 v^3 w^2 x^3 y z^2 +
 10 b^6 c^6 u^4 v^3 w^2 x^3 y z^2 +
 25 a^4 c^8 u^4 v^3 w^2 x^3 y z^2 -
 48 a^2 b^2 c^8 u^4 v^3 w^2 x^3 y z^2 -
 25 b^4 c^8 u^4 v^3 w^2 x^3 y z^2 -
 14 a^2 c^10 u^4 v^3 w^2 x^3 y z^2 +
 28 b^2 c^10 u^4 v^3 w^2 x^3 y z^2 + 3 c^12 u^4 v^3 w^2 x^3 y z^2 +
 6 a^12 u^3 v^4 w^2 x^3 y z^2 - 36 a^10 b^2 u^3 v^4 w^2 x^3 y z^2 +
 90 a^8 b^4 u^3 v^4 w^2 x^3 y z^2 -
 120 a^6 b^6 u^3 v^4 w^2 x^3 y z^2 +
 90 a^4 b^8 u^3 v^4 w^2 x^3 y z^2 -
 36 a^2 b^10 u^3 v^4 w^2 x^3 y z^2 + 6 b^12 u^3 v^4 w^2 x^3 y z^2 -
 11 a^10 c^2 u^3 v^4 w^2 x^3 y z^2 +
 25 a^8 b^2 c^2 u^3 v^4 w^2 x^3 y z^2 -
 6 a^6 b^4 c^2 u^3 v^4 w^2 x^3 y z^2 -
 22 a^4 b^6 c^2 u^3 v^4 w^2 x^3 y z^2 +
 17 a^2 b^8 c^2 u^3 v^4 w^2 x^3 y z^2 -
 3 b^10 c^2 u^3 v^4 w^2 x^3 y z^2 -
 15 a^8 c^4 u^3 v^4 w^2 x^3 y z^2 +
 72 a^6 b^2 c^4 u^3 v^4 w^2 x^3 y z^2 -
 38 a^4 b^4 c^4 u^3 v^4 w^2 x^3 y z^2 +
 32 a^2 b^6 c^4 u^3 v^4 w^2 x^3 y z^2 -
 51 b^8 c^4 u^3 v^4 w^2 x^3 y z^2 +
 50 a^6 c^6 u^3 v^4 w^2 x^3 y z^2 -
 54 a^4 b^2 c^6 u^3 v^4 w^2 x^3 y z^2 +
 6 a^2 b^4 c^6 u^3 v^4 w^2 x^3 y z^2 +
 110 b^6 c^6 u^3 v^4 w^2 x^3 y z^2 -
 40 a^4 c^8 u^3 v^4 w^2 x^3 y z^2 -
 28 a^2 b^2 c^8 u^3 v^4 w^2 x^3 y z^2 -
 84 b^4 c^8 u^3 v^4 w^2 x^3 y z^2 +
 9 a^2 c^10 u^3 v^4 w^2 x^3 y z^2 +
 21 b^2 c^10 u^3 v^4 w^2 x^3 y z^2 + c^12 u^3 v^4 w^2 x^3 y z^2 +
 9 a^12 u^2 v^5 w^2 x^3 y z^2 - 43 a^10 b^2 u^2 v^5 w^2 x^3 y z^2 +
 80 a^8 b^4 u^2 v^5 w^2 x^3 y z^2 -
 70 a^6 b^6 u^2 v^5 w^2 x^3 y z^2 + 25 a^4 b^8 u^2 v^5 w^2 x^3 y z^2 +
  a^2 b^10 u^2 v^5 w^2 x^3 y z^2 - 2 b^12 u^2 v^5 w^2 x^3 y z^2 +
 2 a^10 c^2 u^2 v^5 w^2 x^3 y z^2 -
 13 a^8 b^2 c^2 u^2 v^5 w^2 x^3 y z^2 +
 18 a^6 b^4 c^2 u^2 v^5 w^2 x^3 y z^2 +
 4 a^4 b^6 c^2 u^2 v^5 w^2 x^3 y z^2 -
 20 a^2 b^8 c^2 u^2 v^5 w^2 x^3 y z^2 +
 9 b^10 c^2 u^2 v^5 w^2 x^3 y z^2 -
 36 a^8 c^4 u^2 v^5 w^2 x^3 y z^2 +
 98 a^6 b^2 c^4 u^2 v^5 w^2 x^3 y z^2 -
 48 a^4 b^4 c^4 u^2 v^5 w^2 x^3 y z^2 +
 18 a^2 b^6 c^4 u^2 v^5 w^2 x^3 y z^2 -
 32 b^8 c^4 u^2 v^5 w^2 x^3 y z^2 +
 22 a^6 c^6 u^2 v^5 w^2 x^3 y z^2 -
 40 a^4 b^2 c^6 u^2 v^5 w^2 x^3 y z^2 +
 44 a^2 b^4 c^6 u^2 v^5 w^2 x^3 y z^2 +
 78 b^6 c^6 u^2 v^5 w^2 x^3 y z^2 - 5 a^4 c^8 u^2 v^5 w^2 x^3 y z^2 -
 67 a^2 b^2 c^8 u^2 v^5 w^2 x^3 y z^2 -
 102 b^4 c^8 u^2 v^5 w^2 x^3 y z^2 +
 24 a^2 c^10 u^2 v^5 w^2 x^3 y z^2 +
 65 b^2 c^10 u^2 v^5 w^2 x^3 y z^2 - 16 c^12 u^2 v^5 w^2 x^3 y z^2 +
 3 a^12 u v^6 w^2 x^3 y z^2 - 13 a^10 b^2 u v^6 w^2 x^3 y z^2 +
 20 a^8 b^4 u v^6 w^2 x^3 y z^2 - 10 a^6 b^6 u v^6 w^2 x^3 y z^2 -
 5 a^4 b^8 u v^6 w^2 x^3 y z^2 + 7 a^2 b^10 u v^6 w^2 x^3 y z^2 -
 2 b^12 u v^6 w^2 x^3 y z^2 + 5 a^10 c^2 u v^6 w^2 x^3 y z^2 -
 20 a^8 b^2 c^2 u v^6 w^2 x^3 y z^2 +
 18 a^6 b^4 c^2 u v^6 w^2 x^3 y z^2 +
 16 a^4 b^6 c^2 u v^6 w^2 x^3 y z^2 -
 31 a^2 b^8 c^2 u v^6 w^2 x^3 y z^2 +
 12 b^10 c^2 u v^6 w^2 x^3 y z^2 - 10 a^8 c^4 u v^6 w^2 x^3 y z^2 +
 20 a^6 b^2 c^4 u v^6 w^2 x^3 y z^2 -
 24 a^4 b^4 c^4 u v^6 w^2 x^3 y z^2 +
 44 a^2 b^6 c^4 u v^6 w^2 x^3 y z^2 -
 30 b^8 c^4 u v^6 w^2 x^3 y z^2 - 4 a^6 c^6 u v^6 w^2 x^3 y z^2 +
 12 a^4 b^2 c^6 u v^6 w^2 x^3 y z^2 -
 16 a^2 b^4 c^6 u v^6 w^2 x^3 y z^2 + 40 b^6 c^6 u v^6 w^2 x^3 y z^2 +
  a^4 c^8 u v^6 w^2 x^3 y z^2 - 11 a^2 b^2 c^8 u v^6 w^2 x^3 y z^2 -
 30 b^4 c^8 u v^6 w^2 x^3 y z^2 + 7 a^2 c^10 u v^6 w^2 x^3 y z^2 +
 12 b^2 c^10 u v^6 w^2 x^3 y z^2 - 2 c^12 u v^6 w^2 x^3 y z^2 +
 a^8 b^4 u^6 w^3 x^3 y z^2 - 4 a^6 b^6 u^6 w^3 x^3 y z^2 +
 6 a^4 b^8 u^6 w^3 x^3 y z^2 - 4 a^2 b^10 u^6 w^3 x^3 y z^2 +
 b^12 u^6 w^3 x^3 y z^2 - 4 a^6 b^4 c^2 u^6 w^3 x^3 y z^2 +
 12 a^4 b^6 c^2 u^6 w^3 x^3 y z^2 -
 12 a^2 b^8 c^2 u^6 w^3 x^3 y z^2 + 4 b^10 c^2 u^6 w^3 x^3 y z^2 +
 6 a^4 b^4 c^4 u^6 w^3 x^3 y z^2 - 12 a^2 b^6 c^4 u^6 w^3 x^3 y z^2 +
 6 b^8 c^4 u^6 w^3 x^3 y z^2 - 4 a^2 b^4 c^6 u^6 w^3 x^3 y z^2 +
 4 b^6 c^6 u^6 w^3 x^3 y z^2 + b^4 c^8 u^6 w^3 x^3 y z^2 +
 7 a^10 b^2 u^5 v w^3 x^3 y z^2 - 19 a^8 b^4 u^5 v w^3 x^3 y z^2 +
 6 a^6 b^6 u^5 v w^3 x^3 y z^2 + 26 a^4 b^8 u^5 v w^3 x^3 y z^2 -
 29 a^2 b^10 u^5 v w^3 x^3 y z^2 + 9 b^12 u^5 v w^3 x^3 y z^2 -
 35 a^8 b^2 c^2 u^5 v w^3 x^3 y z^2 +
 66 a^6 b^4 c^2 u^5 v w^3 x^3 y z^2 -
 58 a^2 b^8 c^2 u^5 v w^3 x^3 y z^2 +
 27 b^10 c^2 u^5 v w^3 x^3 y z^2 +
 70 a^6 b^2 c^4 u^5 v w^3 x^3 y z^2 -
 84 a^4 b^4 c^4 u^5 v w^3 x^3 y z^2 +
 22 a^2 b^6 c^4 u^5 v w^3 x^3 y z^2 + 8 b^8 c^4 u^5 v w^3 x^3 y z^2 -
 70 a^4 b^2 c^6 u^5 v w^3 x^3 y z^2 +
 46 a^2 b^4 c^6 u^5 v w^3 x^3 y z^2 -
 28 b^6 c^6 u^5 v w^3 x^3 y z^2 +
 35 a^2 b^2 c^8 u^5 v w^3 x^3 y z^2 - 9 b^4 c^8 u^5 v w^3 x^3 y z^2 -
 7 b^2 c^10 u^5 v w^3 x^3 y z^2 + a^10 b^2 u^4 v^2 w^3 x^3 y z^2 -
 2 a^8 b^4 u^4 v^2 w^3 x^3 y z^2 - 2 a^6 b^6 u^4 v^2 w^3 x^3 y z^2 +
 8 a^4 b^8 u^4 v^2 w^3 x^3 y z^2 - 7 a^2 b^10 u^4 v^2 w^3 x^3 y z^2 +
 2 b^12 u^4 v^2 w^3 x^3 y z^2 -
 17 a^8 b^2 c^2 u^4 v^2 w^3 x^3 y z^2 -
 8 a^6 b^4 c^2 u^4 v^2 w^3 x^3 y z^2 +
 62 a^4 b^6 c^2 u^4 v^2 w^3 x^3 y z^2 -
 32 a^2 b^8 c^2 u^4 v^2 w^3 x^3 y z^2 -
 5 b^10 c^2 u^4 v^2 w^3 x^3 y z^2 +
 58 a^6 b^2 c^4 u^4 v^2 w^3 x^3 y z^2 +
 32 a^4 b^4 c^4 u^4 v^2 w^3 x^3 y z^2 -
 46 a^2 b^6 c^4 u^4 v^2 w^3 x^3 y z^2 -
 12 b^8 c^4 u^4 v^2 w^3 x^3 y z^2 -
 82 a^4 b^2 c^6 u^4 v^2 w^3 x^3 y z^2 -
 32 a^2 b^4 c^6 u^4 v^2 w^3 x^3 y z^2 +
 18 b^6 c^6 u^4 v^2 w^3 x^3 y z^2 +
 53 a^2 b^2 c^8 u^4 v^2 w^3 x^3 y z^2 +
 10 b^4 c^8 u^4 v^2 w^3 x^3 y z^2 -
 13 b^2 c^10 u^4 v^2 w^3 x^3 y z^2 - 6 a^12 u^3 v^3 w^3 x^3 y z^2 -
 7 a^10 b^2 u^3 v^3 w^3 x^3 y z^2 +
 73 a^8 b^4 u^3 v^3 w^3 x^3 y z^2 -
 102 a^6 b^6 u^3 v^3 w^3 x^3 y z^2 +
 28 a^4 b^8 u^3 v^3 w^3 x^3 y z^2 +
 29 a^2 b^10 u^3 v^3 w^3 x^3 y z^2 - 15 b^12 u^3 v^3 w^3 x^3 y z^2 +
 24 a^10 c^2 u^3 v^3 w^3 x^3 y z^2 -
 51 a^8 b^2 c^2 u^3 v^3 w^3 x^3 y z^2 -
 44 a^6 b^4 c^2 u^3 v^3 w^3 x^3 y z^2 +
 150 a^4 b^6 c^2 u^3 v^3 w^3 x^3 y z^2 -
 84 a^2 b^8 c^2 u^3 v^3 w^3 x^3 y z^2 +
 5 b^10 c^2 u^3 v^3 w^3 x^3 y z^2 -
 30 a^8 c^4 u^3 v^3 w^3 x^3 y z^2 +
 166 a^6 b^2 c^4 u^3 v^3 w^3 x^3 y z^2 -
 102 a^4 b^4 c^4 u^3 v^3 w^3 x^3 y z^2 -
 62 a^2 b^6 c^4 u^3 v^3 w^3 x^3 y z^2 +
 28 b^8 c^4 u^3 v^3 w^3 x^3 y z^2 -
 122 a^4 b^2 c^6 u^3 v^3 w^3 x^3 y z^2 +
 156 a^2 b^4 c^6 u^3 v^3 w^3 x^3 y z^2 +
 30 b^6 c^6 u^3 v^3 w^3 x^3 y z^2 +
 30 a^4 c^8 u^3 v^3 w^3 x^3 y z^2 -
 15 a^2 b^2 c^8 u^3 v^3 w^3 x^3 y z^2 -
 83 b^4 c^8 u^3 v^3 w^3 x^3 y z^2 -
 24 a^2 c^10 u^3 v^3 w^3 x^3 y z^2 +
 29 b^2 c^10 u^3 v^3 w^3 x^3 y z^2 + 6 c^12 u^3 v^3 w^3 x^3 y z^2 -
 7 a^12 u^2 v^4 w^3 x^3 y z^2 - 5 a^10 b^2 u^2 v^4 w^3 x^3 y z^2 +
 77 a^8 b^4 u^2 v^4 w^3 x^3 y z^2 -
 118 a^6 b^6 u^2 v^4 w^3 x^3 y z^2 +
 47 a^4 b^8 u^2 v^4 w^3 x^3 y z^2 +
 19 a^2 b^10 u^2 v^4 w^3 x^3 y z^2 - 13 b^12 u^2 v^4 w^3 x^3 y z^2 +
 21 a^10 c^2 u^2 v^4 w^3 x^3 y z^2 -
 56 a^8 b^2 c^2 u^2 v^4 w^3 x^3 y z^2 +
 50 a^6 b^4 c^2 u^2 v^4 w^3 x^3 y z^2 +
 32 a^4 b^6 c^2 u^2 v^4 w^3 x^3 y z^2 -
 95 a^2 b^8 c^2 u^2 v^4 w^3 x^3 y z^2 +
 48 b^10 c^2 u^2 v^4 w^3 x^3 y z^2 -
 27 a^8 c^4 u^2 v^4 w^3 x^3 y z^2 +
 94 a^6 b^2 c^4 u^2 v^4 w^3 x^3 y z^2 -
 118 a^4 b^4 c^4 u^2 v^4 w^3 x^3 y z^2 +
 94 a^2 b^6 c^4 u^2 v^4 w^3 x^3 y z^2 -
 75 b^8 c^4 u^2 v^4 w^3 x^3 y z^2 +
 38 a^6 c^6 u^2 v^4 w^3 x^3 y z^2 +
 48 a^4 b^2 c^6 u^2 v^4 w^3 x^3 y z^2 +
 66 a^2 b^4 c^6 u^2 v^4 w^3 x^3 y z^2 +
 80 b^6 c^6 u^2 v^4 w^3 x^3 y z^2 -
 57 a^4 c^8 u^2 v^4 w^3 x^3 y z^2 -
 129 a^2 b^2 c^8 u^2 v^4 w^3 x^3 y z^2 -
 75 b^4 c^8 u^2 v^4 w^3 x^3 y z^2 +
 45 a^2 c^10 u^2 v^4 w^3 x^3 y z^2 +
 48 b^2 c^10 u^2 v^4 w^3 x^3 y z^2 - 13 c^12 u^2 v^4 w^3 x^3 y z^2 -
 8 a^10 b^2 u v^5 w^3 x^3 y z^2 + 28 a^8 b^4 u v^5 w^3 x^3 y z^2 -
 32 a^6 b^6 u v^5 w^3 x^3 y z^2 + 8 a^4 b^8 u v^5 w^3 x^3 y z^2 +
 8 a^2 b^10 u v^5 w^3 x^3 y z^2 - 4 b^12 u v^5 w^3 x^3 y z^2 +
 13 a^10 c^2 u v^5 w^3 x^3 y z^2 -
 27 a^8 b^2 c^2 u v^5 w^3 x^3 y z^2 +
 36 a^6 b^4 c^2 u v^5 w^3 x^3 y z^2 -
 16 a^4 b^6 c^2 u v^5 w^3 x^3 y z^2 -
 33 a^2 b^8 c^2 u v^5 w^3 x^3 y z^2 +
 27 b^10 c^2 u v^5 w^3 x^3 y z^2 - 29 a^8 c^4 u v^5 w^3 x^3 y z^2 +
 28 a^6 b^2 c^4 u v^5 w^3 x^3 y z^2 +
 20 a^4 b^4 c^4 u v^5 w^3 x^3 y z^2 +
 40 a^2 b^6 c^4 u v^5 w^3 x^3 y z^2 -
 75 b^8 c^4 u v^5 w^3 x^3 y z^2 + 16 a^6 c^6 u v^5 w^3 x^3 y z^2 -
 8 a^4 b^2 c^6 u v^5 w^3 x^3 y z^2 -
 2 a^2 b^4 c^6 u v^5 w^3 x^3 y z^2 +
 110 b^6 c^6 u v^5 w^3 x^3 y z^2 - 4 a^4 c^8 u v^5 w^3 x^3 y z^2 -
 24 a^2 b^2 c^8 u v^5 w^3 x^3 y z^2 -
 90 b^4 c^8 u v^5 w^3 x^3 y z^2 + 11 a^2 c^10 u v^5 w^3 x^3 y z^2 +
 39 b^2 c^10 u v^5 w^3 x^3 y z^2 - 7 c^12 u v^5 w^3 x^3 y z^2 +
 a^12 v^6 w^3 x^3 y z^2 - 4 a^10 b^2 v^6 w^3 x^3 y z^2 +
 6 a^8 b^4 v^6 w^3 x^3 y z^2 - 4 a^6 b^6 v^6 w^3 x^3 y z^2 +
 a^4 b^8 v^6 w^3 x^3 y z^2 + 4 a^10 c^2 v^6 w^3 x^3 y z^2 -
 4 a^8 b^2 c^2 v^6 w^3 x^3 y z^2 - 4 a^6 b^4 c^2 v^6 w^3 x^3 y z^2 +
 4 a^4 b^6 c^2 v^6 w^3 x^3 y z^2 - 6 a^8 c^4 v^6 w^3 x^3 y z^2 +
 12 a^6 b^2 c^4 v^6 w^3 x^3 y z^2 - 6 a^4 b^4 c^4 v^6 w^3 x^3 y z^2 -
 4 a^6 c^6 v^6 w^3 x^3 y z^2 - 4 a^4 b^2 c^6 v^6 w^3 x^3 y z^2 +
 5 a^4 c^8 v^6 w^3 x^3 y z^2 + 9 a^10 b^2 u^4 v w^4 x^3 y z^2 -
 4 a^8 b^4 u^4 v w^4 x^3 y z^2 - 24 a^6 b^6 u^4 v w^4 x^3 y z^2 +
 6 a^4 b^8 u^4 v w^4 x^3 y z^2 + 31 a^2 b^10 u^4 v w^4 x^3 y z^2 -
 18 b^12 u^4 v w^4 x^3 y z^2 - 45 a^8 b^2 c^2 u^4 v w^4 x^3 y z^2 +
 10 a^6 b^4 c^2 u^4 v w^4 x^3 y z^2 +
 102 a^4 b^6 c^2 u^4 v w^4 x^3 y z^2 -
 62 a^2 b^8 c^2 u^4 v w^4 x^3 y z^2 -
 5 b^10 c^2 u^4 v w^4 x^3 y z^2 +
 90 a^6 b^2 c^4 u^4 v w^4 x^3 y z^2 -
 6 a^4 b^4 c^4 u^4 v w^4 x^3 y z^2 -
 60 a^2 b^6 c^4 u^4 v w^4 x^3 y z^2 +
 48 b^8 c^4 u^4 v w^4 x^3 y z^2 -
 90 a^4 b^2 c^6 u^4 v w^4 x^3 y z^2 -
 2 a^2 b^4 c^6 u^4 v w^4 x^3 y z^2 - 18 b^6 c^6 u^4 v w^4 x^3 y z^2 +
 45 a^2 b^2 c^8 u^4 v w^4 x^3 y z^2 + 2 b^4 c^8 u^4 v w^4 x^3 y z^2 -
 9 b^2 c^10 u^4 v w^4 x^3 y z^2 + 3 a^12 u^3 v^2 w^4 x^3 y z^2 +
 8 a^10 b^2 u^3 v^2 w^4 x^3 y z^2 + 2 a^8 b^4 u^3 v^2 w^4 x^3 y z^2 -
 60 a^6 b^6 u^3 v^2 w^4 x^3 y z^2 +
 43 a^4 b^8 u^3 v^2 w^4 x^3 y z^2 + 28 a^2 b^10 u^3 v^2 w^4 x^3 y z^2
 - 24 b^12 u^3 v^2 w^4 x^3 y z^2 -
 18 a^10 c^2 u^3 v^2 w^4 x^3 y z^2 -
 30 a^8 b^2 c^2 u^3 v^2 w^4 x^3 y z^2 +
 38 a^6 b^4 c^2 u^3 v^2 w^4 x^3 y z^2 +
 50 a^4 b^6 c^2 u^3 v^2 w^4 x^3 y z^2 -
 68 a^2 b^8 c^2 u^3 v^2 w^4 x^3 y z^2 +
 28 b^10 c^2 u^3 v^2 w^4 x^3 y z^2 +
 45 a^8 c^4 u^3 v^2 w^4 x^3 y z^2 +
 40 a^6 b^2 c^4 u^3 v^2 w^4 x^3 y z^2 -
 62 a^4 b^4 c^4 u^3 v^2 w^4 x^3 y z^2 +
 56 a^2 b^6 c^4 u^3 v^2 w^4 x^3 y z^2 +
 49 b^8 c^4 u^3 v^2 w^4 x^3 y z^2 -
 60 a^6 c^6 u^3 v^2 w^4 x^3 y z^2 -
 20 a^4 b^2 c^6 u^3 v^2 w^4 x^3 y z^2 +
 2 a^2 b^4 c^6 u^3 v^2 w^4 x^3 y z^2 -
 78 b^6 c^6 u^3 v^2 w^4 x^3 y z^2 +
 45 a^4 c^8 u^3 v^2 w^4 x^3 y z^2 +
 20 b^4 c^8 u^3 v^2 w^4 x^3 y z^2 -
 18 a^2 c^10 u^3 v^2 w^4 x^3 y z^2 +
 2 b^2 c^10 u^3 v^2 w^4 x^3 y z^2 + 3 c^12 u^3 v^2 w^4 x^3 y z^2 -
 a^12 u^2 v^3 w^4 x^3 y z^2 - 5 a^10 b^2 u^2 v^3 w^4 x^3 y z^2 +
 42 a^8 b^4 u^2 v^3 w^4 x^3 y z^2 -
 82 a^6 b^6 u^2 v^3 w^4 x^3 y z^2 +
 59 a^4 b^8 u^2 v^3 w^4 x^3 y z^2 -
 9 a^2 b^10 u^2 v^3 w^4 x^3 y z^2 - 4 b^12 u^2 v^3 w^4 x^3 y z^2 +
 6 a^10 c^2 u^2 v^3 w^4 x^3 y z^2 -
 3 a^8 b^2 c^2 u^2 v^3 w^4 x^3 y z^2 -
 48 a^6 b^4 c^2 u^2 v^3 w^4 x^3 y z^2 -
 10 a^4 b^6 c^2 u^2 v^3 w^4 x^3 y z^2 +
 34 a^2 b^8 c^2 u^2 v^3 w^4 x^3 y z^2 +
 21 b^10 c^2 u^2 v^3 w^4 x^3 y z^2 -
 15 a^8 c^4 u^2 v^3 w^4 x^3 y z^2 +
 30 a^6 b^2 c^4 u^2 v^3 w^4 x^3 y z^2 +
 20 a^4 b^4 c^4 u^2 v^3 w^4 x^3 y z^2 -
 38 a^2 b^6 c^4 u^2 v^3 w^4 x^3 y z^2 -
 45 b^8 c^4 u^2 v^3 w^4 x^3 y z^2 +
 20 a^6 c^6 u^2 v^3 w^4 x^3 y z^2 -
 22 a^4 b^2 c^6 u^2 v^3 w^4 x^3 y z^2 +
 16 a^2 b^4 c^6 u^2 v^3 w^4 x^3 y z^2 +
 50 b^6 c^6 u^2 v^3 w^4 x^3 y z^2 -
 15 a^4 c^8 u^2 v^3 w^4 x^3 y z^2 -
 9 a^2 b^2 c^8 u^2 v^3 w^4 x^3 y z^2 -
 30 b^4 c^8 u^2 v^3 w^4 x^3 y z^2 +
 6 a^2 c^10 u^2 v^3 w^4 x^3 y z^2 + 9 b^2 c^10 u^2 v^3 w^4 x^3 y z^2 -
  c^12 u^2 v^3 w^4 x^3 y z^2 - 8 a^12 u v^4 w^4 x^3 y z^2 +
 4 a^10 b^2 u v^4 w^4 x^3 y z^2 + 33 a^8 b^4 u v^4 w^4 x^3 y z^2 -
 44 a^6 b^6 u v^4 w^4 x^3 y z^2 + 14 a^4 b^8 u v^4 w^4 x^3 y z^2 +
 b^12 u v^4 w^4 x^3 y z^2 + 23 a^10 c^2 u v^4 w^4 x^3 y z^2 -
 41 a^8 b^2 c^2 u v^4 w^4 x^3 y z^2 -
 22 a^6 b^4 c^2 u v^4 w^4 x^3 y z^2 +
 14 a^4 b^6 c^2 u v^4 w^4 x^3 y z^2 +
 23 a^2 b^8 c^2 u v^4 w^4 x^3 y z^2 +
 3 b^10 c^2 u v^4 w^4 x^3 y z^2 - 20 a^8 c^4 u v^4 w^4 x^3 y z^2 +
 56 a^6 b^2 c^4 u v^4 w^4 x^3 y z^2 -
 42 a^4 b^4 c^4 u v^4 w^4 x^3 y z^2 -
 92 a^2 b^6 c^4 u v^4 w^4 x^3 y z^2 -
 30 b^8 c^4 u v^4 w^4 x^3 y z^2 + 10 a^6 c^6 u v^4 w^4 x^3 y z^2 +
 34 a^4 b^2 c^6 u v^4 w^4 x^3 y z^2 +
 138 a^2 b^4 c^6 u v^4 w^4 x^3 y z^2 +
 70 b^6 c^6 u v^4 w^4 x^3 y z^2 - 20 a^4 c^8 u v^4 w^4 x^3 y z^2 -
 92 a^2 b^2 c^8 u v^4 w^4 x^3 y z^2 -
 75 b^4 c^8 u v^4 w^4 x^3 y z^2 + 23 a^2 c^10 u v^4 w^4 x^3 y z^2 +
 39 b^2 c^10 u v^4 w^4 x^3 y z^2 - 8 c^12 u v^4 w^4 x^3 y z^2 -
 3 a^12 v^5 w^4 x^3 y z^2 + 2 a^10 b^2 v^5 w^4 x^3 y z^2 +
 12 a^8 b^4 v^5 w^4 x^3 y z^2 - 18 a^6 b^6 v^5 w^4 x^3 y z^2 +
 7 a^4 b^8 v^5 w^4 x^3 y z^2 + 8 a^10 c^2 v^5 w^4 x^3 y z^2 -
 22 a^8 b^2 c^2 v^5 w^4 x^3 y z^2 +
 12 a^6 b^4 c^2 v^5 w^4 x^3 y z^2 + 2 a^4 b^6 c^2 v^5 w^4 x^3 y z^2 -
 6 a^8 c^4 v^5 w^4 x^3 y z^2 + 6 a^6 b^2 c^4 v^5 w^4 x^3 y z^2 -
 24 a^4 b^4 c^4 v^5 w^4 x^3 y z^2 + 14 a^4 b^2 c^6 v^5 w^4 x^3 y z^2 +
  a^4 c^8 v^5 w^4 x^3 y z^2 - 3 a^8 b^4 u^4 w^5 x^3 y z^2 +
 6 a^4 b^8 u^4 w^5 x^3 y z^2 - 3 b^12 u^4 w^5 x^3 y z^2 +
 12 a^6 b^4 c^2 u^4 w^5 x^3 y z^2 -
 12 a^2 b^8 c^2 u^4 w^5 x^3 y z^2 -
 18 a^4 b^4 c^4 u^4 w^5 x^3 y z^2 + 6 b^8 c^4 u^4 w^5 x^3 y z^2 +
 12 a^2 b^4 c^6 u^4 w^5 x^3 y z^2 - 3 b^4 c^8 u^4 w^5 x^3 y z^2 +
 a^10 b^2 u^3 v w^5 x^3 y z^2 + 5 a^8 b^4 u^3 v w^5 x^3 y z^2 +
 4 a^6 b^6 u^3 v w^5 x^3 y z^2 - 24 a^4 b^8 u^3 v w^5 x^3 y z^2 +
 11 a^2 b^10 u^3 v w^5 x^3 y z^2 + 3 b^12 u^3 v w^5 x^3 y z^2 -
 5 a^8 b^2 c^2 u^3 v w^5 x^3 y z^2 -
 26 a^6 b^4 c^2 u^3 v w^5 x^3 y z^2 +
 18 a^4 b^6 c^2 u^3 v w^5 x^3 y z^2 +
 14 a^2 b^8 c^2 u^3 v w^5 x^3 y z^2 -
 17 b^10 c^2 u^3 v w^5 x^3 y z^2 +
 10 a^6 b^2 c^4 u^3 v w^5 x^3 y z^2 +
 48 a^4 b^4 c^4 u^3 v w^5 x^3 y z^2 +
 8 a^2 b^6 c^4 u^3 v w^5 x^3 y z^2 + 34 b^8 c^4 u^3 v w^5 x^3 y z^2 -
 10 a^4 b^2 c^6 u^3 v w^5 x^3 y z^2 -
 38 a^2 b^4 c^6 u^3 v w^5 x^3 y z^2 -
 30 b^6 c^6 u^3 v w^5 x^3 y z^2 + 5 a^2 b^2 c^8 u^3 v w^5 x^3 y z^2 +
 11 b^4 c^8 u^3 v w^5 x^3 y z^2 - b^2 c^10 u^3 v w^5 x^3 y z^2 +
 2 a^12 u^2 v^2 w^5 x^3 y z^2 + 5 a^10 b^2 u^2 v^2 w^5 x^3 y z^2 +
 31 a^8 b^4 u^2 v^2 w^5 x^3 y z^2 -
 50 a^6 b^6 u^2 v^2 w^5 x^3 y z^2 - 8 a^4 b^8 u^2 v^2 w^5 x^3 y z^2 +
 5 a^2 b^10 u^2 v^2 w^5 x^3 y z^2 + 15 b^12 u^2 v^2 w^5 x^3 y z^2 -
 12 a^10 c^2 u^2 v^2 w^5 x^3 y z^2 -
 23 a^8 b^2 c^2 u^2 v^2 w^5 x^3 y z^2 -
 32 a^6 b^4 c^2 u^2 v^2 w^5 x^3 y z^2 +
 70 a^4 b^6 c^2 u^2 v^2 w^5 x^3 y z^2 +
 4 a^2 b^8 c^2 u^2 v^2 w^5 x^3 y z^2 -
 55 b^10 c^2 u^2 v^2 w^5 x^3 y z^2 +
 30 a^8 c^4 u^2 v^2 w^5 x^3 y z^2 +
 42 a^6 b^2 c^4 u^2 v^2 w^5 x^3 y z^2 -
 22 a^4 b^4 c^4 u^2 v^2 w^5 x^3 y z^2 -
 30 a^2 b^6 c^4 u^2 v^2 w^5 x^3 y z^2 +
 72 b^8 c^4 u^2 v^2 w^5 x^3 y z^2 -
 40 a^6 c^6 u^2 v^2 w^5 x^3 y z^2 -
 38 a^4 b^2 c^6 u^2 v^2 w^5 x^3 y z^2 +
 16 a^2 b^4 c^6 u^2 v^2 w^5 x^3 y z^2 -
 38 b^6 c^6 u^2 v^2 w^5 x^3 y z^2 +
 30 a^4 c^8 u^2 v^2 w^5 x^3 y z^2 +
 17 a^2 b^2 c^8 u^2 v^2 w^5 x^3 y z^2 +
 7 b^4 c^8 u^2 v^2 w^5 x^3 y z^2 -
 12 a^2 c^10 u^2 v^2 w^5 x^3 y z^2 -
 3 b^2 c^10 u^2 v^2 w^5 x^3 y z^2 + 2 c^12 u^2 v^2 w^5 x^3 y z^2 +
 2 a^12 u v^3 w^5 x^3 y z^2 + 10 a^10 b^2 u v^3 w^5 x^3 y z^2 +
 16 a^8 b^4 u v^3 w^5 x^3 y z^2 - 50 a^6 b^6 u v^3 w^5 x^3 y z^2 +
 8 a^4 b^8 u v^3 w^5 x^3 y z^2 + 8 a^2 b^10 u v^3 w^5 x^3 y z^2 +
 6 b^12 u v^3 w^5 x^3 y z^2 - 7 a^10 c^2 u v^3 w^5 x^3 y z^2 -
 17 a^8 b^2 c^2 u v^3 w^5 x^3 y z^2 +
 10 a^6 b^4 c^2 u v^3 w^5 x^3 y z^2 +
 16 a^4 b^6 c^2 u v^3 w^5 x^3 y z^2 -
 23 a^2 b^8 c^2 u v^3 w^5 x^3 y z^2 -
 27 b^10 c^2 u v^3 w^5 x^3 y z^2 + 5 a^8 c^4 u v^3 w^5 x^3 y z^2 -
 18 a^6 b^2 c^4 u v^3 w^5 x^3 y z^2 -
 60 a^4 b^4 c^4 u v^3 w^5 x^3 y z^2 +
 8 a^2 b^6 c^4 u v^3 w^5 x^3 y z^2 + 45 b^8 c^4 u v^3 w^5 x^3 y z^2 +
 10 a^6 c^6 u v^3 w^5 x^3 y z^2 +
 56 a^4 b^2 c^6 u v^3 w^5 x^3 y z^2 +
 34 a^2 b^4 c^6 u v^3 w^5 x^3 y z^2 -
 30 b^6 c^6 u v^3 w^5 x^3 y z^2 - 20 a^4 c^8 u v^3 w^5 x^3 y z^2 -
 40 a^2 b^2 c^8 u v^3 w^5 x^3 y z^2 +
 13 a^2 c^10 u v^3 w^5 x^3 y z^2 + 9 b^2 c^10 u v^3 w^5 x^3 y z^2 -
 3 c^12 u v^3 w^5 x^3 y z^2 - a^12 v^4 w^5 x^3 y z^2 +
 8 a^10 b^2 v^4 w^5 x^3 y z^2 - 2 a^8 b^4 v^4 w^5 x^3 y z^2 -
 16 a^6 b^6 v^4 w^5 x^3 y z^2 + 11 a^4 b^8 v^4 w^5 x^3 y z^2 +
 4 a^10 c^2 v^4 w^5 x^3 y z^2 - 12 a^8 b^2 c^2 v^4 w^5 x^3 y z^2 +
 12 a^6 b^4 c^2 v^4 w^5 x^3 y z^2 -
 20 a^4 b^6 c^2 v^4 w^5 x^3 y z^2 - 6 a^8 c^4 v^4 w^5 x^3 y z^2 +
 6 a^4 b^4 c^4 v^4 w^5 x^3 y z^2 + 4 a^6 c^6 v^4 w^5 x^3 y z^2 +
 4 a^4 b^2 c^6 v^4 w^5 x^3 y z^2 - a^4 c^8 v^4 w^5 x^3 y z^2 -
 2 a^8 b^4 u^3 w^6 x^3 y z^2 - 4 a^6 b^6 u^3 w^6 x^3 y z^2 +
 4 a^2 b^10 u^3 w^6 x^3 y z^2 + 2 b^12 u^3 w^6 x^3 y z^2 +
 8 a^6 b^4 c^2 u^3 w^6 x^3 y z^2 + 12 a^4 b^6 c^2 u^3 w^6 x^3 y z^2 -
 4 b^10 c^2 u^3 w^6 x^3 y z^2 - 12 a^4 b^4 c^4 u^3 w^6 x^3 y z^2 -
 12 a^2 b^6 c^4 u^3 w^6 x^3 y z^2 + 8 a^2 b^4 c^6 u^3 w^6 x^3 y z^2 +
 4 b^6 c^6 u^3 w^6 x^3 y z^2 - 2 b^4 c^8 u^3 w^6 x^3 y z^2 -
 2 a^10 b^2 u^2 v w^6 x^3 y z^2 - 5 a^8 b^4 u^2 v w^6 x^3 y z^2 -
 2 a^4 b^8 u^2 v w^6 x^3 y z^2 + 2 a^2 b^10 u^2 v w^6 x^3 y z^2 +
 7 b^12 u^2 v w^6 x^3 y z^2 + 10 a^8 b^2 c^2 u^2 v w^6 x^3 y z^2 +
 16 a^6 b^4 c^2 u^2 v w^6 x^3 y z^2 -
 16 a^2 b^8 c^2 u^2 v w^6 x^3 y z^2 -
 26 b^10 c^2 u^2 v w^6 x^3 y z^2 -
 20 a^6 b^2 c^4 u^2 v w^6 x^3 y z^2 -
 18 a^4 b^4 c^4 u^2 v w^6 x^3 y z^2 +
 16 a^2 b^6 c^4 u^2 v w^6 x^3 y z^2 +
 34 b^8 c^4 u^2 v w^6 x^3 y z^2 +
 20 a^4 b^2 c^6 u^2 v w^6 x^3 y z^2 +
 8 a^2 b^4 c^6 u^2 v w^6 x^3 y z^2 - 16 b^6 c^6 u^2 v w^6 x^3 y z^2 -
 10 a^2 b^2 c^8 u^2 v w^6 x^3 y z^2 - b^4 c^8 u^2 v w^6 x^3 y z^2 +
 2 b^2 c^10 u^2 v w^6 x^3 y z^2 - 3 a^10 b^2 u v^2 w^6 x^3 y z^2 +
 5 a^8 b^4 u v^2 w^6 x^3 y z^2 - 8 a^6 b^6 u v^2 w^6 x^3 y z^2 +
 3 a^2 b^10 u v^2 w^6 x^3 y z^2 + 3 b^12 u v^2 w^6 x^3 y z^2 +
 9 a^8 b^2 c^2 u v^2 w^6 x^3 y z^2 -
 10 a^6 b^4 c^2 u v^2 w^6 x^3 y z^2 -
 14 a^4 b^6 c^2 u v^2 w^6 x^3 y z^2 -
 18 a^2 b^8 c^2 u v^2 w^6 x^3 y z^2 -
 15 b^10 c^2 u v^2 w^6 x^3 y z^2 -
 6 a^6 b^2 c^4 u v^2 w^6 x^3 y z^2 +
 20 a^4 b^4 c^4 u v^2 w^6 x^3 y z^2 +
 36 a^2 b^6 c^4 u v^2 w^6 x^3 y z^2 +
 30 b^8 c^4 u v^2 w^6 x^3 y z^2 - 6 a^4 b^2 c^6 u v^2 w^6 x^3 y z^2 -
 30 a^2 b^4 c^6 u v^2 w^6 x^3 y z^2 -
 30 b^6 c^6 u v^2 w^6 x^3 y z^2 + 9 a^2 b^2 c^8 u v^2 w^6 x^3 y z^2 +
 15 b^4 c^8 u v^2 w^6 x^3 y z^2 - 3 b^2 c^10 u v^2 w^6 x^3 y z^2 +
 2 a^10 b^2 v^3 w^6 x^3 y z^2 - 2 a^8 b^4 v^3 w^6 x^3 y z^2 -
 2 a^6 b^6 v^3 w^6 x^3 y z^2 + 2 a^4 b^8 v^3 w^6 x^3 y z^2 -
 6 a^8 b^2 c^2 v^3 w^6 x^3 y z^2 - 4 a^6 b^4 c^2 v^3 w^6 x^3 y z^2 -
 6 a^4 b^6 c^2 v^3 w^6 x^3 y z^2 + 6 a^6 b^2 c^4 v^3 w^6 x^3 y z^2 +
 6 a^4 b^4 c^4 v^3 w^6 x^3 y z^2 - 2 a^4 b^2 c^6 v^3 w^6 x^3 y z^2 +
 6 a^6 b^2 c^4 u^6 v^3 x^2 y^2 z^2 -
 18 a^4 b^4 c^4 u^6 v^3 x^2 y^2 z^2 +
 18 a^2 b^6 c^4 u^6 v^3 x^2 y^2 z^2 - 6 b^8 c^4 u^6 v^3 x^2 y^2 z^2 -
 6 a^4 b^2 c^6 u^6 v^3 x^2 y^2 z^2 +
 12 a^2 b^4 c^6 u^6 v^3 x^2 y^2 z^2 - 6 b^6 c^6 u^6 v^3 x^2 y^2 z^2 -
 6 a^2 b^2 c^8 u^6 v^3 x^2 y^2 z^2 + 6 b^4 c^8 u^6 v^3 x^2 y^2 z^2 +
 6 b^2 c^10 u^6 v^3 x^2 y^2 z^2 + 6 a^8 c^4 u^5 v^4 x^2 y^2 z^2 -
 6 a^6 b^2 c^4 u^5 v^4 x^2 y^2 z^2 -
 18 a^4 b^4 c^4 u^5 v^4 x^2 y^2 z^2 +
 30 a^2 b^6 c^4 u^5 v^4 x^2 y^2 z^2 -
 12 b^8 c^4 u^5 v^4 x^2 y^2 z^2 - 12 a^6 c^6 u^5 v^4 x^2 y^2 z^2 +
 30 a^4 b^2 c^6 u^5 v^4 x^2 y^2 z^2 -
 24 a^2 b^4 c^6 u^5 v^4 x^2 y^2 z^2 + 6 b^6 c^6 u^5 v^4 x^2 y^2 z^2 -
 18 a^2 b^2 c^8 u^5 v^4 x^2 y^2 z^2 +
 18 b^4 c^8 u^5 v^4 x^2 y^2 z^2 + 12 a^2 c^10 u^5 v^4 x^2 y^2 z^2 -
 6 b^2 c^10 u^5 v^4 x^2 y^2 z^2 - 6 c^12 u^5 v^4 x^2 y^2 z^2 +
 12 a^8 c^4 u^4 v^5 x^2 y^2 z^2 -
 30 a^6 b^2 c^4 u^4 v^5 x^2 y^2 z^2 +
 18 a^4 b^4 c^4 u^4 v^5 x^2 y^2 z^2 +
 6 a^2 b^6 c^4 u^4 v^5 x^2 y^2 z^2 - 6 b^8 c^4 u^4 v^5 x^2 y^2 z^2 -
 6 a^6 c^6 u^4 v^5 x^2 y^2 z^2 + 24 a^4 b^2 c^6 u^4 v^5 x^2 y^2 z^2 -
 30 a^2 b^4 c^6 u^4 v^5 x^2 y^2 z^2 +
 12 b^6 c^6 u^4 v^5 x^2 y^2 z^2 - 18 a^4 c^8 u^4 v^5 x^2 y^2 z^2 +
 18 a^2 b^2 c^8 u^4 v^5 x^2 y^2 z^2 +
 6 a^2 c^10 u^4 v^5 x^2 y^2 z^2 - 12 b^2 c^10 u^4 v^5 x^2 y^2 z^2 +
 6 c^12 u^4 v^5 x^2 y^2 z^2 + 6 a^8 c^4 u^3 v^6 x^2 y^2 z^2 -
 18 a^6 b^2 c^4 u^3 v^6 x^2 y^2 z^2 +
 18 a^4 b^4 c^4 u^3 v^6 x^2 y^2 z^2 -
 6 a^2 b^6 c^4 u^3 v^6 x^2 y^2 z^2 + 6 a^6 c^6 u^3 v^6 x^2 y^2 z^2 -
 12 a^4 b^2 c^6 u^3 v^6 x^2 y^2 z^2 +
 6 a^2 b^4 c^6 u^3 v^6 x^2 y^2 z^2 - 6 a^4 c^8 u^3 v^6 x^2 y^2 z^2 +
 6 a^2 b^2 c^8 u^3 v^6 x^2 y^2 z^2 - 6 a^2 c^10 u^3 v^6 x^2 y^2 z^2 -
 2 a^12 u^6 v^2 w x^2 y^2 z^2 + 12 a^10 b^2 u^6 v^2 w x^2 y^2 z^2 -
 30 a^8 b^4 u^6 v^2 w x^2 y^2 z^2 +
 40 a^6 b^6 u^6 v^2 w x^2 y^2 z^2 -
 30 a^4 b^8 u^6 v^2 w x^2 y^2 z^2 +
 12 a^2 b^10 u^6 v^2 w x^2 y^2 z^2 - 2 b^12 u^6 v^2 w x^2 y^2 z^2 +
 6 a^10 c^2 u^6 v^2 w x^2 y^2 z^2 -
 31 a^8 b^2 c^2 u^6 v^2 w x^2 y^2 z^2 +
 64 a^6 b^4 c^2 u^6 v^2 w x^2 y^2 z^2 -
 66 a^4 b^6 c^2 u^6 v^2 w x^2 y^2 z^2 +
 34 a^2 b^8 c^2 u^6 v^2 w x^2 y^2 z^2 -
 7 b^10 c^2 u^6 v^2 w x^2 y^2 z^2 +
 10 a^6 b^2 c^4 u^6 v^2 w x^2 y^2 z^2 -
 34 a^4 b^4 c^4 u^6 v^2 w x^2 y^2 z^2 +
 38 a^2 b^6 c^4 u^6 v^2 w x^2 y^2 z^2 -
 14 b^8 c^4 u^6 v^2 w x^2 y^2 z^2 -
 20 a^6 c^6 u^6 v^2 w x^2 y^2 z^2 +
 36 a^4 b^2 c^6 u^6 v^2 w x^2 y^2 z^2 -
 4 a^2 b^4 c^6 u^6 v^2 w x^2 y^2 z^2 +
 4 b^6 c^6 u^6 v^2 w x^2 y^2 z^2 + 30 a^4 c^8 u^6 v^2 w x^2 y^2 z^2 -
 38 a^2 b^2 c^8 u^6 v^2 w x^2 y^2 z^2 +
 4 b^4 c^8 u^6 v^2 w x^2 y^2 z^2 -
 18 a^2 c^10 u^6 v^2 w x^2 y^2 z^2 +
 11 b^2 c^10 u^6 v^2 w x^2 y^2 z^2 + 4 c^12 u^6 v^2 w x^2 y^2 z^2 -
 4 a^12 u^5 v^3 w x^2 y^2 z^2 + 24 a^10 b^2 u^5 v^3 w x^2 y^2 z^2 -
 60 a^8 b^4 u^5 v^3 w x^2 y^2 z^2 +
 80 a^6 b^6 u^5 v^3 w x^2 y^2 z^2 -
 60 a^4 b^8 u^5 v^3 w x^2 y^2 z^2 +
 24 a^2 b^10 u^5 v^3 w x^2 y^2 z^2 - 4 b^12 u^5 v^3 w x^2 y^2 z^2 -
 a^10 c^2 u^5 v^3 w x^2 y^2 z^2 +
 3 a^8 b^2 c^2 u^5 v^3 w x^2 y^2 z^2 -
 2 a^6 b^4 c^2 u^5 v^3 w x^2 y^2 z^2 -
 2 a^4 b^6 c^2 u^5 v^3 w x^2 y^2 z^2 +
 3 a^2 b^8 c^2 u^5 v^3 w x^2 y^2 z^2 -
 b^10 c^2 u^5 v^3 w x^2 y^2 z^2 + 34 a^8 c^4 u^5 v^3 w x^2 y^2 z^2 -
 96 a^6 b^2 c^4 u^5 v^3 w x^2 y^2 z^2 +
 76 a^4 b^4 c^4 u^5 v^3 w x^2 y^2 z^2 -
 14 b^8 c^4 u^5 v^3 w x^2 y^2 z^2 -
 46 a^6 c^6 u^5 v^3 w x^2 y^2 z^2 +
 86 a^4 b^2 c^6 u^5 v^3 w x^2 y^2 z^2 -
 34 a^2 b^4 c^6 u^5 v^3 w x^2 y^2 z^2 +
 26 b^6 c^6 u^5 v^3 w x^2 y^2 z^2 + 4 a^4 c^8 u^5 v^3 w x^2 y^2 z^2 -
 16 a^2 b^2 c^8 u^5 v^3 w x^2 y^2 z^2 +
 4 b^4 c^8 u^5 v^3 w x^2 y^2 z^2 + 23 a^2 c^10 u^5 v^3 w x^2 y^2 z^2 -
  b^2 c^10 u^5 v^3 w x^2 y^2 z^2 - 10 c^12 u^5 v^3 w x^2 y^2 z^2 -
 13 a^10 c^2 u^4 v^4 w x^2 y^2 z^2 +
 65 a^8 b^2 c^2 u^4 v^4 w x^2 y^2 z^2 -
 130 a^6 b^4 c^2 u^4 v^4 w x^2 y^2 z^2 +
 130 a^4 b^6 c^2 u^4 v^4 w x^2 y^2 z^2 -
 65 a^2 b^8 c^2 u^4 v^4 w x^2 y^2 z^2 +
 13 b^10 c^2 u^4 v^4 w x^2 y^2 z^2 +
 34 a^8 c^4 u^4 v^4 w x^2 y^2 z^2 -
 68 a^6 b^2 c^4 u^4 v^4 w x^2 y^2 z^2 +
 68 a^2 b^6 c^4 u^4 v^4 w x^2 y^2 z^2 -
 34 b^8 c^4 u^4 v^4 w x^2 y^2 z^2 -
 24 a^6 c^6 u^4 v^4 w x^2 y^2 z^2 +
 8 a^4 b^2 c^6 u^4 v^4 w x^2 y^2 z^2 -
 8 a^2 b^4 c^6 u^4 v^4 w x^2 y^2 z^2 +
 24 b^6 c^6 u^4 v^4 w x^2 y^2 z^2 - 2 a^4 c^8 u^4 v^4 w x^2 y^2 z^2 +
 2 b^4 c^8 u^4 v^4 w x^2 y^2 z^2 + 5 a^2 c^10 u^4 v^4 w x^2 y^2 z^2 -
 5 b^2 c^10 u^4 v^4 w x^2 y^2 z^2 + 4 a^12 u^3 v^5 w x^2 y^2 z^2 -
 24 a^10 b^2 u^3 v^5 w x^2 y^2 z^2 +
 60 a^8 b^4 u^3 v^5 w x^2 y^2 z^2 -
 80 a^6 b^6 u^3 v^5 w x^2 y^2 z^2 +
 60 a^4 b^8 u^3 v^5 w x^2 y^2 z^2 -
 24 a^2 b^10 u^3 v^5 w x^2 y^2 z^2 + 4 b^12 u^3 v^5 w x^2 y^2 z^2 +
 a^10 c^2 u^3 v^5 w x^2 y^2 z^2 -
 3 a^8 b^2 c^2 u^3 v^5 w x^2 y^2 z^2 +
 2 a^6 b^4 c^2 u^3 v^5 w x^2 y^2 z^2 +
 2 a^4 b^6 c^2 u^3 v^5 w x^2 y^2 z^2 -
 3 a^2 b^8 c^2 u^3 v^5 w x^2 y^2 z^2 +
 b^10 c^2 u^3 v^5 w x^2 y^2 z^2 + 14 a^8 c^4 u^3 v^5 w x^2 y^2 z^2 -
 76 a^4 b^4 c^4 u^3 v^5 w x^2 y^2 z^2 +
 96 a^2 b^6 c^4 u^3 v^5 w x^2 y^2 z^2 -
 34 b^8 c^4 u^3 v^5 w x^2 y^2 z^2 -
 26 a^6 c^6 u^3 v^5 w x^2 y^2 z^2 +
 34 a^4 b^2 c^6 u^3 v^5 w x^2 y^2 z^2 -
 86 a^2 b^4 c^6 u^3 v^5 w x^2 y^2 z^2 +
 46 b^6 c^6 u^3 v^5 w x^2 y^2 z^2 - 4 a^4 c^8 u^3 v^5 w x^2 y^2 z^2 +
 16 a^2 b^2 c^8 u^3 v^5 w x^2 y^2 z^2 -
 4 b^4 c^8 u^3 v^5 w x^2 y^2 z^2 + a^2 c^10 u^3 v^5 w x^2 y^2 z^2 -
 23 b^2 c^10 u^3 v^5 w x^2 y^2 z^2 + 10 c^12 u^3 v^5 w x^2 y^2 z^2 +
 2 a^12 u^2 v^6 w x^2 y^2 z^2 - 12 a^10 b^2 u^2 v^6 w x^2 y^2 z^2 +
 30 a^8 b^4 u^2 v^6 w x^2 y^2 z^2 -
 40 a^6 b^6 u^2 v^6 w x^2 y^2 z^2 +
 30 a^4 b^8 u^2 v^6 w x^2 y^2 z^2 -
 12 a^2 b^10 u^2 v^6 w x^2 y^2 z^2 + 2 b^12 u^2 v^6 w x^2 y^2 z^2 +
 7 a^10 c^2 u^2 v^6 w x^2 y^2 z^2 -
 34 a^8 b^2 c^2 u^2 v^6 w x^2 y^2 z^2 +
 66 a^6 b^4 c^2 u^2 v^6 w x^2 y^2 z^2 -
 64 a^4 b^6 c^2 u^2 v^6 w x^2 y^2 z^2 +
 31 a^2 b^8 c^2 u^2 v^6 w x^2 y^2 z^2 -
 6 b^10 c^2 u^2 v^6 w x^2 y^2 z^2 +
 14 a^8 c^4 u^2 v^6 w x^2 y^2 z^2 -
 38 a^6 b^2 c^4 u^2 v^6 w x^2 y^2 z^2 +
 34 a^4 b^4 c^4 u^2 v^6 w x^2 y^2 z^2 -
 10 a^2 b^6 c^4 u^2 v^6 w x^2 y^2 z^2 -
 4 a^6 c^6 u^2 v^6 w x^2 y^2 z^2 +
 4 a^4 b^2 c^6 u^2 v^6 w x^2 y^2 z^2 -
 36 a^2 b^4 c^6 u^2 v^6 w x^2 y^2 z^2 +
 20 b^6 c^6 u^2 v^6 w x^2 y^2 z^2 - 4 a^4 c^8 u^2 v^6 w x^2 y^2 z^2 +
 38 a^2 b^2 c^8 u^2 v^6 w x^2 y^2 z^2 -
 30 b^4 c^8 u^2 v^6 w x^2 y^2 z^2 -
 11 a^2 c^10 u^2 v^6 w x^2 y^2 z^2 +
 18 b^2 c^10 u^2 v^6 w x^2 y^2 z^2 - 4 c^12 u^2 v^6 w x^2 y^2 z^2 +
 2 a^12 u^6 v w^2 x^2 y^2 z^2 - 6 a^10 b^2 u^6 v w^2 x^2 y^2 z^2 +
 20 a^6 b^6 u^6 v w^2 x^2 y^2 z^2 -
 30 a^4 b^8 u^6 v w^2 x^2 y^2 z^2 +
 18 a^2 b^10 u^6 v w^2 x^2 y^2 z^2 - 4 b^12 u^6 v w^2 x^2 y^2 z^2 -
 12 a^10 c^2 u^6 v w^2 x^2 y^2 z^2 +
 31 a^8 b^2 c^2 u^6 v w^2 x^2 y^2 z^2 -
 10 a^6 b^4 c^2 u^6 v w^2 x^2 y^2 z^2 -
 36 a^4 b^6 c^2 u^6 v w^2 x^2 y^2 z^2 +
 38 a^2 b^8 c^2 u^6 v w^2 x^2 y^2 z^2 -
 11 b^10 c^2 u^6 v w^2 x^2 y^2 z^2 +
 30 a^8 c^4 u^6 v w^2 x^2 y^2 z^2 -
 64 a^6 b^2 c^4 u^6 v w^2 x^2 y^2 z^2 +
 34 a^4 b^4 c^4 u^6 v w^2 x^2 y^2 z^2 +
 4 a^2 b^6 c^4 u^6 v w^2 x^2 y^2 z^2 -
 4 b^8 c^4 u^6 v w^2 x^2 y^2 z^2 - 40 a^6 c^6 u^6 v w^2 x^2 y^2 z^2 +
 66 a^4 b^2 c^6 u^6 v w^2 x^2 y^2 z^2 -
 38 a^2 b^4 c^6 u^6 v w^2 x^2 y^2 z^2 -
 4 b^6 c^6 u^6 v w^2 x^2 y^2 z^2 + 30 a^4 c^8 u^6 v w^2 x^2 y^2 z^2 -
 34 a^2 b^2 c^8 u^6 v w^2 x^2 y^2 z^2 +
 14 b^4 c^8 u^6 v w^2 x^2 y^2 z^2 -
 12 a^2 c^10 u^6 v w^2 x^2 y^2 z^2 +
 7 b^2 c^10 u^6 v w^2 x^2 y^2 z^2 + 2 c^12 u^6 v w^2 x^2 y^2 z^2 +
 4 a^10 b^2 u^5 v^2 w^2 x^2 y^2 z^2 -
 20 a^8 b^4 u^5 v^2 w^2 x^2 y^2 z^2 +
 40 a^6 b^6 u^5 v^2 w^2 x^2 y^2 z^2 -
 40 a^4 b^8 u^5 v^2 w^2 x^2 y^2 z^2 +
 20 a^2 b^10 u^5 v^2 w^2 x^2 y^2 z^2 -
 4 b^12 u^5 v^2 w^2 x^2 y^2 z^2 -
 4 a^10 c^2 u^5 v^2 w^2 x^2 y^2 z^2 +
 14 a^6 b^4 c^2 u^5 v^2 w^2 x^2 y^2 z^2 -
 2 a^4 b^6 c^2 u^5 v^2 w^2 x^2 y^2 z^2 -
 18 a^2 b^8 c^2 u^5 v^2 w^2 x^2 y^2 z^2 +
 10 b^10 c^2 u^5 v^2 w^2 x^2 y^2 z^2 +
 20 a^8 c^4 u^5 v^2 w^2 x^2 y^2 z^2 -
 14 a^6 b^2 c^4 u^5 v^2 w^2 x^2 y^2 z^2 +
 2 a^2 b^6 c^4 u^5 v^2 w^2 x^2 y^2 z^2 -
 8 b^8 c^4 u^5 v^2 w^2 x^2 y^2 z^2 -
 40 a^6 c^6 u^5 v^2 w^2 x^2 y^2 z^2 +
 2 a^4 b^2 c^6 u^5 v^2 w^2 x^2 y^2 z^2 -
 2 a^2 b^4 c^6 u^5 v^2 w^2 x^2 y^2 z^2 +
 40 a^4 c^8 u^5 v^2 w^2 x^2 y^2 z^2 +
 18 a^2 b^2 c^8 u^5 v^2 w^2 x^2 y^2 z^2 +
 8 b^4 c^8 u^5 v^2 w^2 x^2 y^2 z^2 -
 20 a^2 c^10 u^5 v^2 w^2 x^2 y^2 z^2 -
 10 b^2 c^10 u^5 v^2 w^2 x^2 y^2 z^2 +
 4 c^12 u^5 v^2 w^2 x^2 y^2 z^2 - 10 a^12 u^4 v^3 w^2 x^2 y^2 z^2 +
 42 a^10 b^2 u^4 v^3 w^2 x^2 y^2 z^2 -
 60 a^8 b^4 u^4 v^3 w^2 x^2 y^2 z^2 +
 20 a^6 b^6 u^4 v^3 w^2 x^2 y^2 z^2 +
 30 a^4 b^8 u^4 v^3 w^2 x^2 y^2 z^2 -
 30 a^2 b^10 u^4 v^3 w^2 x^2 y^2 z^2 +
 8 b^12 u^4 v^3 w^2 x^2 y^2 z^2 +
 4 a^10 c^2 u^4 v^3 w^2 x^2 y^2 z^2 -
 39 a^8 b^2 c^2 u^4 v^3 w^2 x^2 y^2 z^2 +
 68 a^6 b^4 c^2 u^4 v^3 w^2 x^2 y^2 z^2 -
 10 a^4 b^6 c^2 u^4 v^3 w^2 x^2 y^2 z^2 -
 48 a^2 b^8 c^2 u^4 v^3 w^2 x^2 y^2 z^2 +
 25 b^10 c^2 u^4 v^3 w^2 x^2 y^2 z^2 +
 68 a^8 c^4 u^4 v^3 w^2 x^2 y^2 z^2 -
 66 a^6 b^2 c^4 u^4 v^3 w^2 x^2 y^2 z^2 -
 34 a^4 b^4 c^4 u^4 v^3 w^2 x^2 y^2 z^2 +
 114 a^2 b^6 c^4 u^4 v^3 w^2 x^2 y^2 z^2 -
 82 b^8 c^4 u^4 v^3 w^2 x^2 y^2 z^2 -
 112 a^6 c^6 u^4 v^3 w^2 x^2 y^2 z^2 +
 88 a^4 b^2 c^6 u^4 v^3 w^2 x^2 y^2 z^2 -
 32 a^2 b^4 c^6 u^4 v^3 w^2 x^2 y^2 z^2 +
 32 b^6 c^6 u^4 v^3 w^2 x^2 y^2 z^2 +
 38 a^4 c^8 u^4 v^3 w^2 x^2 y^2 z^2 -
 32 a^2 b^2 c^8 u^4 v^3 w^2 x^2 y^2 z^2 +
 26 b^4 c^8 u^4 v^3 w^2 x^2 y^2 z^2 +
 28 a^2 c^10 u^4 v^3 w^2 x^2 y^2 z^2 +
 7 b^2 c^10 u^4 v^3 w^2 x^2 y^2 z^2 -
 16 c^12 u^4 v^3 w^2 x^2 y^2 z^2 - 8 a^12 u^3 v^4 w^2 x^2 y^2 z^2 +
 30 a^10 b^2 u^3 v^4 w^2 x^2 y^2 z^2 -
 30 a^8 b^4 u^3 v^4 w^2 x^2 y^2 z^2 -
 20 a^6 b^6 u^3 v^4 w^2 x^2 y^2 z^2 +
 60 a^4 b^8 u^3 v^4 w^2 x^2 y^2 z^2 -
 42 a^2 b^10 u^3 v^4 w^2 x^2 y^2 z^2 +
 10 b^12 u^3 v^4 w^2 x^2 y^2 z^2 -
 25 a^10 c^2 u^3 v^4 w^2 x^2 y^2 z^2 +
 48 a^8 b^2 c^2 u^3 v^4 w^2 x^2 y^2 z^2 +
 10 a^6 b^4 c^2 u^3 v^4 w^2 x^2 y^2 z^2 -
 68 a^4 b^6 c^2 u^3 v^4 w^2 x^2 y^2 z^2 +
 39 a^2 b^8 c^2 u^3 v^4 w^2 x^2 y^2 z^2 -
 4 b^10 c^2 u^3 v^4 w^2 x^2 y^2 z^2 +
 82 a^8 c^4 u^3 v^4 w^2 x^2 y^2 z^2 -
 114 a^6 b^2 c^4 u^3 v^4 w^2 x^2 y^2 z^2 +
 34 a^4 b^4 c^4 u^3 v^4 w^2 x^2 y^2 z^2 +
 66 a^2 b^6 c^4 u^3 v^4 w^2 x^2 y^2 z^2 -
 68 b^8 c^4 u^3 v^4 w^2 x^2 y^2 z^2 -
 32 a^6 c^6 u^3 v^4 w^2 x^2 y^2 z^2 +
 32 a^4 b^2 c^6 u^3 v^4 w^2 x^2 y^2 z^2 -
 88 a^2 b^4 c^6 u^3 v^4 w^2 x^2 y^2 z^2 +
 112 b^6 c^6 u^3 v^4 w^2 x^2 y^2 z^2 -
 26 a^4 c^8 u^3 v^4 w^2 x^2 y^2 z^2 +
 32 a^2 b^2 c^8 u^3 v^4 w^2 x^2 y^2 z^2 -
 38 b^4 c^8 u^3 v^4 w^2 x^2 y^2 z^2 -
 7 a^2 c^10 u^3 v^4 w^2 x^2 y^2 z^2 -
 28 b^2 c^10 u^3 v^4 w^2 x^2 y^2 z^2 +
 16 c^12 u^3 v^4 w^2 x^2 y^2 z^2 + 4 a^12 u^2 v^5 w^2 x^2 y^2 z^2 -
 20 a^10 b^2 u^2 v^5 w^2 x^2 y^2 z^2 +
 40 a^8 b^4 u^2 v^5 w^2 x^2 y^2 z^2 -
 40 a^6 b^6 u^2 v^5 w^2 x^2 y^2 z^2 +
 20 a^4 b^8 u^2 v^5 w^2 x^2 y^2 z^2 -
 4 a^2 b^10 u^2 v^5 w^2 x^2 y^2 z^2 -
 10 a^10 c^2 u^2 v^5 w^2 x^2 y^2 z^2 +
 18 a^8 b^2 c^2 u^2 v^5 w^2 x^2 y^2 z^2 +
 2 a^6 b^4 c^2 u^2 v^5 w^2 x^2 y^2 z^2 -
 14 a^4 b^6 c^2 u^2 v^5 w^2 x^2 y^2 z^2 +
 4 b^10 c^2 u^2 v^5 w^2 x^2 y^2 z^2 +
 8 a^8 c^4 u^2 v^5 w^2 x^2 y^2 z^2 -
 2 a^6 b^2 c^4 u^2 v^5 w^2 x^2 y^2 z^2 +
 14 a^2 b^6 c^4 u^2 v^5 w^2 x^2 y^2 z^2 -
 20 b^8 c^4 u^2 v^5 w^2 x^2 y^2 z^2 +
 2 a^4 b^2 c^6 u^2 v^5 w^2 x^2 y^2 z^2 -
 2 a^2 b^4 c^6 u^2 v^5 w^2 x^2 y^2 z^2 +
 40 b^6 c^6 u^2 v^5 w^2 x^2 y^2 z^2 -
 8 a^4 c^8 u^2 v^5 w^2 x^2 y^2 z^2 -
 18 a^2 b^2 c^8 u^2 v^5 w^2 x^2 y^2 z^2 -
 40 b^4 c^8 u^2 v^5 w^2 x^2 y^2 z^2 +
 10 a^2 c^10 u^2 v^5 w^2 x^2 y^2 z^2 +
 20 b^2 c^10 u^2 v^5 w^2 x^2 y^2 z^2 -
 4 c^12 u^2 v^5 w^2 x^2 y^2 z^2 + 4 a^12 u v^6 w^2 x^2 y^2 z^2 -
 18 a^10 b^2 u v^6 w^2 x^2 y^2 z^2 +
 30 a^8 b^4 u v^6 w^2 x^2 y^2 z^2 -
 20 a^6 b^6 u v^6 w^2 x^2 y^2 z^2 +
 6 a^2 b^10 u v^6 w^2 x^2 y^2 z^2 - 2 b^12 u v^6 w^2 x^2 y^2 z^2 +
 11 a^10 c^2 u v^6 w^2 x^2 y^2 z^2 -
 38 a^8 b^2 c^2 u v^6 w^2 x^2 y^2 z^2 +
 36 a^6 b^4 c^2 u v^6 w^2 x^2 y^2 z^2 +
 10 a^4 b^6 c^2 u v^6 w^2 x^2 y^2 z^2 -
 31 a^2 b^8 c^2 u v^6 w^2 x^2 y^2 z^2 +
 12 b^10 c^2 u v^6 w^2 x^2 y^2 z^2 +
 4 a^8 c^4 u v^6 w^2 x^2 y^2 z^2 -
 4 a^6 b^2 c^4 u v^6 w^2 x^2 y^2 z^2 -
 34 a^4 b^4 c^4 u v^6 w^2 x^2 y^2 z^2 +
 64 a^2 b^6 c^4 u v^6 w^2 x^2 y^2 z^2 -
 30 b^8 c^4 u v^6 w^2 x^2 y^2 z^2 + 4 a^6 c^6 u v^6 w^2 x^2 y^2 z^2 +
 38 a^4 b^2 c^6 u v^6 w^2 x^2 y^2 z^2 -
 66 a^2 b^4 c^6 u v^6 w^2 x^2 y^2 z^2 +
 40 b^6 c^6 u v^6 w^2 x^2 y^2 z^2 -
 14 a^4 c^8 u v^6 w^2 x^2 y^2 z^2 +
 34 a^2 b^2 c^8 u v^6 w^2 x^2 y^2 z^2 -
 30 b^4 c^8 u v^6 w^2 x^2 y^2 z^2 -
 7 a^2 c^10 u v^6 w^2 x^2 y^2 z^2 +
 12 b^2 c^10 u v^6 w^2 x^2 y^2 z^2 - 2 c^12 u v^6 w^2 x^2 y^2 z^2 -
 6 a^6 b^4 c^2 u^6 w^3 x^2 y^2 z^2 +
 6 a^4 b^6 c^2 u^6 w^3 x^2 y^2 z^2 +
 6 a^2 b^8 c^2 u^6 w^3 x^2 y^2 z^2 - 6 b^10 c^2 u^6 w^3 x^2 y^2 z^2 +
 18 a^4 b^4 c^4 u^6 w^3 x^2 y^2 z^2 -
 12 a^2 b^6 c^4 u^6 w^3 x^2 y^2 z^2 - 6 b^8 c^4 u^6 w^3 x^2 y^2 z^2 -
 18 a^2 b^4 c^6 u^6 w^3 x^2 y^2 z^2 + 6 b^6 c^6 u^6 w^3 x^2 y^2 z^2 +
 6 b^4 c^8 u^6 w^3 x^2 y^2 z^2 + 4 a^12 u^5 v w^3 x^2 y^2 z^2 +
 a^10 b^2 u^5 v w^3 x^2 y^2 z^2 - 34 a^8 b^4 u^5 v w^3 x^2 y^2 z^2 +
 46 a^6 b^6 u^5 v w^3 x^2 y^2 z^2 - 4 a^4 b^8 u^5 v w^3 x^2 y^2 z^2 -
 23 a^2 b^10 u^5 v w^3 x^2 y^2 z^2 + 10 b^12 u^5 v w^3 x^2 y^2 z^2 -
 24 a^10 c^2 u^5 v w^3 x^2 y^2 z^2 -
 3 a^8 b^2 c^2 u^5 v w^3 x^2 y^2 z^2 +
 96 a^6 b^4 c^2 u^5 v w^3 x^2 y^2 z^2 -
 86 a^4 b^6 c^2 u^5 v w^3 x^2 y^2 z^2 +
 16 a^2 b^8 c^2 u^5 v w^3 x^2 y^2 z^2 +
 b^10 c^2 u^5 v w^3 x^2 y^2 z^2 + 60 a^8 c^4 u^5 v w^3 x^2 y^2 z^2 +
 2 a^6 b^2 c^4 u^5 v w^3 x^2 y^2 z^2 -
 76 a^4 b^4 c^4 u^5 v w^3 x^2 y^2 z^2 +
 34 a^2 b^6 c^4 u^5 v w^3 x^2 y^2 z^2 -
 4 b^8 c^4 u^5 v w^3 x^2 y^2 z^2 - 80 a^6 c^6 u^5 v w^3 x^2 y^2 z^2 +
 2 a^4 b^2 c^6 u^5 v w^3 x^2 y^2 z^2 -
 26 b^6 c^6 u^5 v w^3 x^2 y^2 z^2 +
 60 a^4 c^8 u^5 v w^3 x^2 y^2 z^2 -
 3 a^2 b^2 c^8 u^5 v w^3 x^2 y^2 z^2 +
 14 b^4 c^8 u^5 v w^3 x^2 y^2 z^2 -
 24 a^2 c^10 u^5 v w^3 x^2 y^2 z^2 + b^2 c^10 u^5 v w^3 x^2 y^2 z^2 +
 4 c^12 u^5 v w^3 x^2 y^2 z^2 + 10 a^12 u^4 v^2 w^3 x^2 y^2 z^2 -
 4 a^10 b^2 u^4 v^2 w^3 x^2 y^2 z^2 -
 68 a^8 b^4 u^4 v^2 w^3 x^2 y^2 z^2 +
 112 a^6 b^6 u^4 v^2 w^3 x^2 y^2 z^2 -
 38 a^4 b^8 u^4 v^2 w^3 x^2 y^2 z^2 -
 28 a^2 b^10 u^4 v^2 w^3 x^2 y^2 z^2 +
 16 b^12 u^4 v^2 w^3 x^2 y^2 z^2 -
 42 a^10 c^2 u^4 v^2 w^3 x^2 y^2 z^2 +
 39 a^8 b^2 c^2 u^4 v^2 w^3 x^2 y^2 z^2 +
 66 a^6 b^4 c^2 u^4 v^2 w^3 x^2 y^2 z^2 -
 88 a^4 b^6 c^2 u^4 v^2 w^3 x^2 y^2 z^2 +
 32 a^2 b^8 c^2 u^4 v^2 w^3 x^2 y^2 z^2 -
 7 b^10 c^2 u^4 v^2 w^3 x^2 y^2 z^2 +
 60 a^8 c^4 u^4 v^2 w^3 x^2 y^2 z^2 -
 68 a^6 b^2 c^4 u^4 v^2 w^3 x^2 y^2 z^2 +
 34 a^4 b^4 c^4 u^4 v^2 w^3 x^2 y^2 z^2 +
 32 a^2 b^6 c^4 u^4 v^2 w^3 x^2 y^2 z^2 -
 26 b^8 c^4 u^4 v^2 w^3 x^2 y^2 z^2 -
 20 a^6 c^6 u^4 v^2 w^3 x^2 y^2 z^2 +
 10 a^4 b^2 c^6 u^4 v^2 w^3 x^2 y^2 z^2 -
 114 a^2 b^4 c^6 u^4 v^2 w^3 x^2 y^2 z^2 -
 32 b^6 c^6 u^4 v^2 w^3 x^2 y^2 z^2 -
 30 a^4 c^8 u^4 v^2 w^3 x^2 y^2 z^2 +
 48 a^2 b^2 c^8 u^4 v^2 w^3 x^2 y^2 z^2 +
 82 b^4 c^8 u^4 v^2 w^3 x^2 y^2 z^2 +
 30 a^2 c^10 u^4 v^2 w^3 x^2 y^2 z^2 -
 25 b^2 c^10 u^4 v^2 w^3 x^2 y^2 z^2 -
 8 c^12 u^4 v^2 w^3 x^2 y^2 z^2 - 16 a^12 u^2 v^4 w^3 x^2 y^2 z^2 +
 28 a^10 b^2 u^2 v^4 w^3 x^2 y^2 z^2 +
 38 a^8 b^4 u^2 v^4 w^3 x^2 y^2 z^2 -
 112 a^6 b^6 u^2 v^4 w^3 x^2 y^2 z^2 +
 68 a^4 b^8 u^2 v^4 w^3 x^2 y^2 z^2 +
 4 a^2 b^10 u^2 v^4 w^3 x^2 y^2 z^2 -
 10 b^12 u^2 v^4 w^3 x^2 y^2 z^2 +
 7 a^10 c^2 u^2 v^4 w^3 x^2 y^2 z^2 -
 32 a^8 b^2 c^2 u^2 v^4 w^3 x^2 y^2 z^2 +
 88 a^6 b^4 c^2 u^2 v^4 w^3 x^2 y^2 z^2 -
 66 a^4 b^6 c^2 u^2 v^4 w^3 x^2 y^2 z^2 -
 39 a^2 b^8 c^2 u^2 v^4 w^3 x^2 y^2 z^2 +
 42 b^10 c^2 u^2 v^4 w^3 x^2 y^2 z^2 +
 26 a^8 c^4 u^2 v^4 w^3 x^2 y^2 z^2 -
 32 a^6 b^2 c^4 u^2 v^4 w^3 x^2 y^2 z^2 -
 34 a^4 b^4 c^4 u^2 v^4 w^3 x^2 y^2 z^2 +
 68 a^2 b^6 c^4 u^2 v^4 w^3 x^2 y^2 z^2 -
 60 b^8 c^4 u^2 v^4 w^3 x^2 y^2 z^2 +
 32 a^6 c^6 u^2 v^4 w^3 x^2 y^2 z^2 +
 114 a^4 b^2 c^6 u^2 v^4 w^3 x^2 y^2 z^2 -
 10 a^2 b^4 c^6 u^2 v^4 w^3 x^2 y^2 z^2 +
 20 b^6 c^6 u^2 v^4 w^3 x^2 y^2 z^2 -
 82 a^4 c^8 u^2 v^4 w^3 x^2 y^2 z^2 -
 48 a^2 b^2 c^8 u^2 v^4 w^3 x^2 y^2 z^2 +
 30 b^4 c^8 u^2 v^4 w^3 x^2 y^2 z^2 +
 25 a^2 c^10 u^2 v^4 w^3 x^2 y^2 z^2 -
 30 b^2 c^10 u^2 v^4 w^3 x^2 y^2 z^2 +
 8 c^12 u^2 v^4 w^3 x^2 y^2 z^2 - 10 a^12 u v^5 w^3 x^2 y^2 z^2 +
 23 a^10 b^2 u v^5 w^3 x^2 y^2 z^2 +
 4 a^8 b^4 u v^5 w^3 x^2 y^2 z^2 - 46 a^6 b^6 u v^5 w^3 x^2 y^2 z^2 +
 34 a^4 b^8 u v^5 w^3 x^2 y^2 z^2 - a^2 b^10 u v^5 w^3 x^2 y^2 z^2 -
 4 b^12 u v^5 w^3 x^2 y^2 z^2 - a^10 c^2 u v^5 w^3 x^2 y^2 z^2 -
 16 a^8 b^2 c^2 u v^5 w^3 x^2 y^2 z^2 +
 86 a^6 b^4 c^2 u v^5 w^3 x^2 y^2 z^2 -
 96 a^4 b^6 c^2 u v^5 w^3 x^2 y^2 z^2 +
 3 a^2 b^8 c^2 u v^5 w^3 x^2 y^2 z^2 +
 24 b^10 c^2 u v^5 w^3 x^2 y^2 z^2 +
 4 a^8 c^4 u v^5 w^3 x^2 y^2 z^2 -
 34 a^6 b^2 c^4 u v^5 w^3 x^2 y^2 z^2 +
 76 a^4 b^4 c^4 u v^5 w^3 x^2 y^2 z^2 -
 2 a^2 b^6 c^4 u v^5 w^3 x^2 y^2 z^2 -
 60 b^8 c^4 u v^5 w^3 x^2 y^2 z^2 +
 26 a^6 c^6 u v^5 w^3 x^2 y^2 z^2 -
 2 a^2 b^4 c^6 u v^5 w^3 x^2 y^2 z^2 +
 80 b^6 c^6 u v^5 w^3 x^2 y^2 z^2 -
 14 a^4 c^8 u v^5 w^3 x^2 y^2 z^2 +
 3 a^2 b^2 c^8 u v^5 w^3 x^2 y^2 z^2 -
 60 b^4 c^8 u v^5 w^3 x^2 y^2 z^2 - a^2 c^10 u v^5 w^3 x^2 y^2 z^2 +
 24 b^2 c^10 u v^5 w^3 x^2 y^2 z^2 - 4 c^12 u v^5 w^3 x^2 y^2 z^2 +
 6 a^10 c^2 v^6 w^3 x^2 y^2 z^2 - 6 a^8 b^2 c^2 v^6 w^3 x^2 y^2 z^2 -
 6 a^6 b^4 c^2 v^6 w^3 x^2 y^2 z^2 +
 6 a^4 b^6 c^2 v^6 w^3 x^2 y^2 z^2 + 6 a^8 c^4 v^6 w^3 x^2 y^2 z^2 +
 12 a^6 b^2 c^4 v^6 w^3 x^2 y^2 z^2 -
 18 a^4 b^4 c^4 v^6 w^3 x^2 y^2 z^2 - 6 a^6 c^6 v^6 w^3 x^2 y^2 z^2 +
 18 a^4 b^2 c^6 v^6 w^3 x^2 y^2 z^2 - 6 a^4 c^8 v^6 w^3 x^2 y^2 z^2 -
 6 a^8 b^4 u^5 w^4 x^2 y^2 z^2 + 12 a^6 b^6 u^5 w^4 x^2 y^2 z^2 -
 12 a^2 b^10 u^5 w^4 x^2 y^2 z^2 + 6 b^12 u^5 w^4 x^2 y^2 z^2 +
 6 a^6 b^4 c^2 u^5 w^4 x^2 y^2 z^2 -
 30 a^4 b^6 c^2 u^5 w^4 x^2 y^2 z^2 +
 18 a^2 b^8 c^2 u^5 w^4 x^2 y^2 z^2 +
 6 b^10 c^2 u^5 w^4 x^2 y^2 z^2 +
 18 a^4 b^4 c^4 u^5 w^4 x^2 y^2 z^2 +
 24 a^2 b^6 c^4 u^5 w^4 x^2 y^2 z^2 -
 18 b^8 c^4 u^5 w^4 x^2 y^2 z^2 -
 30 a^2 b^4 c^6 u^5 w^4 x^2 y^2 z^2 - 6 b^6 c^6 u^5 w^4 x^2 y^2 z^2 +
 12 b^4 c^8 u^5 w^4 x^2 y^2 z^2 + 13 a^10 b^2 u^4 v w^4 x^2 y^2 z^2 -
 34 a^8 b^4 u^4 v w^4 x^2 y^2 z^2 +
 24 a^6 b^6 u^4 v w^4 x^2 y^2 z^2 + 2 a^4 b^8 u^4 v w^4 x^2 y^2 z^2 -
 5 a^2 b^10 u^4 v w^4 x^2 y^2 z^2 -
 65 a^8 b^2 c^2 u^4 v w^4 x^2 y^2 z^2 +
 68 a^6 b^4 c^2 u^4 v w^4 x^2 y^2 z^2 -
 8 a^4 b^6 c^2 u^4 v w^4 x^2 y^2 z^2 +
 5 b^10 c^2 u^4 v w^4 x^2 y^2 z^2 +
 130 a^6 b^2 c^4 u^4 v w^4 x^2 y^2 z^2 +
 8 a^2 b^6 c^4 u^4 v w^4 x^2 y^2 z^2 -
 2 b^8 c^4 u^4 v w^4 x^2 y^2 z^2 -
 130 a^4 b^2 c^6 u^4 v w^4 x^2 y^2 z^2 -
 68 a^2 b^4 c^6 u^4 v w^4 x^2 y^2 z^2 -
 24 b^6 c^6 u^4 v w^4 x^2 y^2 z^2 +
 65 a^2 b^2 c^8 u^4 v w^4 x^2 y^2 z^2 +
 34 b^4 c^8 u^4 v w^4 x^2 y^2 z^2 -
 13 b^2 c^10 u^4 v w^4 x^2 y^2 z^2 + 8 a^12 u^3 v^2 w^4 x^2 y^2 z^2 +
 25 a^10 b^2 u^3 v^2 w^4 x^2 y^2 z^2 -
 82 a^8 b^4 u^3 v^2 w^4 x^2 y^2 z^2 +
 32 a^6 b^6 u^3 v^2 w^4 x^2 y^2 z^2 +
 26 a^4 b^8 u^3 v^2 w^4 x^2 y^2 z^2 +
 7 a^2 b^10 u^3 v^2 w^4 x^2 y^2 z^2 -
 16 b^12 u^3 v^2 w^4 x^2 y^2 z^2 -
 30 a^10 c^2 u^3 v^2 w^4 x^2 y^2 z^2 -
 48 a^8 b^2 c^2 u^3 v^2 w^4 x^2 y^2 z^2 +
 114 a^6 b^4 c^2 u^3 v^2 w^4 x^2 y^2 z^2 -
 32 a^4 b^6 c^2 u^3 v^2 w^4 x^2 y^2 z^2 -
 32 a^2 b^8 c^2 u^3 v^2 w^4 x^2 y^2 z^2 +
 28 b^10 c^2 u^3 v^2 w^4 x^2 y^2 z^2 +
 30 a^8 c^4 u^3 v^2 w^4 x^2 y^2 z^2 -
 10 a^6 b^2 c^4 u^3 v^2 w^4 x^2 y^2 z^2 -
 34 a^4 b^4 c^4 u^3 v^2 w^4 x^2 y^2 z^2 +
 88 a^2 b^6 c^4 u^3 v^2 w^4 x^2 y^2 z^2 +
 38 b^8 c^4 u^3 v^2 w^4 x^2 y^2 z^2 +
 20 a^6 c^6 u^3 v^2 w^4 x^2 y^2 z^2 +
 68 a^4 b^2 c^6 u^3 v^2 w^4 x^2 y^2 z^2 -
 66 a^2 b^4 c^6 u^3 v^2 w^4 x^2 y^2 z^2 -
 112 b^6 c^6 u^3 v^2 w^4 x^2 y^2 z^2 -
 60 a^4 c^8 u^3 v^2 w^4 x^2 y^2 z^2 -
 39 a^2 b^2 c^8 u^3 v^2 w^4 x^2 y^2 z^2 +
 68 b^4 c^8 u^3 v^2 w^4 x^2 y^2 z^2 +
 42 a^2 c^10 u^3 v^2 w^4 x^2 y^2 z^2 +
 4 b^2 c^10 u^3 v^2 w^4 x^2 y^2 z^2 -
 10 c^12 u^3 v^2 w^4 x^2 y^2 z^2 + 16 a^12 u^2 v^3 w^4 x^2 y^2 z^2 -
 7 a^10 b^2 u^2 v^3 w^4 x^2 y^2 z^2 -
 26 a^8 b^4 u^2 v^3 w^4 x^2 y^2 z^2 -
 32 a^6 b^6 u^2 v^3 w^4 x^2 y^2 z^2 +
 82 a^4 b^8 u^2 v^3 w^4 x^2 y^2 z^2 -
 25 a^2 b^10 u^2 v^3 w^4 x^2 y^2 z^2 -
 8 b^12 u^2 v^3 w^4 x^2 y^2 z^2 -
 28 a^10 c^2 u^2 v^3 w^4 x^2 y^2 z^2 +
 32 a^8 b^2 c^2 u^2 v^3 w^4 x^2 y^2 z^2 +
 32 a^6 b^4 c^2 u^2 v^3 w^4 x^2 y^2 z^2 -
 114 a^4 b^6 c^2 u^2 v^3 w^4 x^2 y^2 z^2 +
 48 a^2 b^8 c^2 u^2 v^3 w^4 x^2 y^2 z^2 +
 30 b^10 c^2 u^2 v^3 w^4 x^2 y^2 z^2 -
 38 a^8 c^4 u^2 v^3 w^4 x^2 y^2 z^2 -
 88 a^6 b^2 c^4 u^2 v^3 w^4 x^2 y^2 z^2 +
 34 a^4 b^4 c^4 u^2 v^3 w^4 x^2 y^2 z^2 +
 10 a^2 b^6 c^4 u^2 v^3 w^4 x^2 y^2 z^2 -
 30 b^8 c^4 u^2 v^3 w^4 x^2 y^2 z^2 +
 112 a^6 c^6 u^2 v^3 w^4 x^2 y^2 z^2 +
 66 a^4 b^2 c^6 u^2 v^3 w^4 x^2 y^2 z^2 -
 68 a^2 b^4 c^6 u^2 v^3 w^4 x^2 y^2 z^2 -
 20 b^6 c^6 u^2 v^3 w^4 x^2 y^2 z^2 -
 68 a^4 c^8 u^2 v^3 w^4 x^2 y^2 z^2 +
 39 a^2 b^2 c^8 u^2 v^3 w^4 x^2 y^2 z^2 +
 60 b^4 c^8 u^2 v^3 w^4 x^2 y^2 z^2 -
 4 a^2 c^10 u^2 v^3 w^4 x^2 y^2 z^2 -
 42 b^2 c^10 u^2 v^3 w^4 x^2 y^2 z^2 +
 10 c^12 u^2 v^3 w^4 x^2 y^2 z^2 + 5 a^10 b^2 u v^4 w^4 x^2 y^2 z^2 -
 2 a^8 b^4 u v^4 w^4 x^2 y^2 z^2 - 24 a^6 b^6 u v^4 w^4 x^2 y^2 z^2 +
 34 a^4 b^8 u v^4 w^4 x^2 y^2 z^2 -
 13 a^2 b^10 u v^4 w^4 x^2 y^2 z^2 -
 5 a^10 c^2 u v^4 w^4 x^2 y^2 z^2 +
 8 a^6 b^4 c^2 u v^4 w^4 x^2 y^2 z^2 -
 68 a^4 b^6 c^2 u v^4 w^4 x^2 y^2 z^2 +
 65 a^2 b^8 c^2 u v^4 w^4 x^2 y^2 z^2 +
 2 a^8 c^4 u v^4 w^4 x^2 y^2 z^2 -
 8 a^6 b^2 c^4 u v^4 w^4 x^2 y^2 z^2 -
 130 a^2 b^6 c^4 u v^4 w^4 x^2 y^2 z^2 +
 24 a^6 c^6 u v^4 w^4 x^2 y^2 z^2 +
 68 a^4 b^2 c^6 u v^4 w^4 x^2 y^2 z^2 +
 130 a^2 b^4 c^6 u v^4 w^4 x^2 y^2 z^2 -
 34 a^4 c^8 u v^4 w^4 x^2 y^2 z^2 -
 65 a^2 b^2 c^8 u v^4 w^4 x^2 y^2 z^2 +
 13 a^2 c^10 u v^4 w^4 x^2 y^2 z^2 - 6 a^12 v^5 w^4 x^2 y^2 z^2 +
 12 a^10 b^2 v^5 w^4 x^2 y^2 z^2 - 12 a^6 b^6 v^5 w^4 x^2 y^2 z^2 +
 6 a^4 b^8 v^5 w^4 x^2 y^2 z^2 - 6 a^10 c^2 v^5 w^4 x^2 y^2 z^2 -
 18 a^8 b^2 c^2 v^5 w^4 x^2 y^2 z^2 +
 30 a^6 b^4 c^2 v^5 w^4 x^2 y^2 z^2 -
 6 a^4 b^6 c^2 v^5 w^4 x^2 y^2 z^2 + 18 a^8 c^4 v^5 w^4 x^2 y^2 z^2 -
 24 a^6 b^2 c^4 v^5 w^4 x^2 y^2 z^2 -
 18 a^4 b^4 c^4 v^5 w^4 x^2 y^2 z^2 + 6 a^6 c^6 v^5 w^4 x^2 y^2 z^2 +
 30 a^4 b^2 c^6 v^5 w^4 x^2 y^2 z^2 -
 12 a^4 c^8 v^5 w^4 x^2 y^2 z^2 - 12 a^8 b^4 u^4 w^5 x^2 y^2 z^2 +
 6 a^6 b^6 u^4 w^5 x^2 y^2 z^2 + 18 a^4 b^8 u^4 w^5 x^2 y^2 z^2 -
 6 a^2 b^10 u^4 w^5 x^2 y^2 z^2 - 6 b^12 u^4 w^5 x^2 y^2 z^2 +
 30 a^6 b^4 c^2 u^4 w^5 x^2 y^2 z^2 -
 24 a^4 b^6 c^2 u^4 w^5 x^2 y^2 z^2 -
 18 a^2 b^8 c^2 u^4 w^5 x^2 y^2 z^2 +
 12 b^10 c^2 u^4 w^5 x^2 y^2 z^2 -
 18 a^4 b^4 c^4 u^4 w^5 x^2 y^2 z^2 +
 30 a^2 b^6 c^4 u^4 w^5 x^2 y^2 z^2 -
 6 a^2 b^4 c^6 u^4 w^5 x^2 y^2 z^2 - 12 b^6 c^6 u^4 w^5 x^2 y^2 z^2 +
 6 b^4 c^8 u^4 w^5 x^2 y^2 z^2 - 4 a^12 u^3 v w^5 x^2 y^2 z^2 -
 a^10 b^2 u^3 v w^5 x^2 y^2 z^2 - 14 a^8 b^4 u^3 v w^5 x^2 y^2 z^2 +
 26 a^6 b^6 u^3 v w^5 x^2 y^2 z^2 + 4 a^4 b^8 u^3 v w^5 x^2 y^2 z^2 -
 a^2 b^10 u^3 v w^5 x^2 y^2 z^2 - 10 b^12 u^3 v w^5 x^2 y^2 z^2 +
 24 a^10 c^2 u^3 v w^5 x^2 y^2 z^2 +
 3 a^8 b^2 c^2 u^3 v w^5 x^2 y^2 z^2 -
 34 a^4 b^6 c^2 u^3 v w^5 x^2 y^2 z^2 -
 16 a^2 b^8 c^2 u^3 v w^5 x^2 y^2 z^2 +
 23 b^10 c^2 u^3 v w^5 x^2 y^2 z^2 -
 60 a^8 c^4 u^3 v w^5 x^2 y^2 z^2 -
 2 a^6 b^2 c^4 u^3 v w^5 x^2 y^2 z^2 +
 76 a^4 b^4 c^4 u^3 v w^5 x^2 y^2 z^2 +
 86 a^2 b^6 c^4 u^3 v w^5 x^2 y^2 z^2 +
 4 b^8 c^4 u^3 v w^5 x^2 y^2 z^2 + 80 a^6 c^6 u^3 v w^5 x^2 y^2 z^2 -
 2 a^4 b^2 c^6 u^3 v w^5 x^2 y^2 z^2 -
 96 a^2 b^4 c^6 u^3 v w^5 x^2 y^2 z^2 -
 46 b^6 c^6 u^3 v w^5 x^2 y^2 z^2 -
 60 a^4 c^8 u^3 v w^5 x^2 y^2 z^2 +
 3 a^2 b^2 c^8 u^3 v w^5 x^2 y^2 z^2 +
 34 b^4 c^8 u^3 v w^5 x^2 y^2 z^2 +
 24 a^2 c^10 u^3 v w^5 x^2 y^2 z^2 - b^2 c^10 u^3 v w^5 x^2 y^2 z^2 -
 4 c^12 u^3 v w^5 x^2 y^2 z^2 - 4 a^12 u^2 v^2 w^5 x^2 y^2 z^2 +
 10 a^10 b^2 u^2 v^2 w^5 x^2 y^2 z^2 -
 8 a^8 b^4 u^2 v^2 w^5 x^2 y^2 z^2 +
 8 a^4 b^8 u^2 v^2 w^5 x^2 y^2 z^2 -
 10 a^2 b^10 u^2 v^2 w^5 x^2 y^2 z^2 +
 4 b^12 u^2 v^2 w^5 x^2 y^2 z^2 +
 20 a^10 c^2 u^2 v^2 w^5 x^2 y^2 z^2 -
 18 a^8 b^2 c^2 u^2 v^2 w^5 x^2 y^2 z^2 +
 2 a^6 b^4 c^2 u^2 v^2 w^5 x^2 y^2 z^2 -
 2 a^4 b^6 c^2 u^2 v^2 w^5 x^2 y^2 z^2 +
 18 a^2 b^8 c^2 u^2 v^2 w^5 x^2 y^2 z^2 -
 20 b^10 c^2 u^2 v^2 w^5 x^2 y^2 z^2 -
 40 a^8 c^4 u^2 v^2 w^5 x^2 y^2 z^2 -
 2 a^6 b^2 c^4 u^2 v^2 w^5 x^2 y^2 z^2 +
 2 a^2 b^6 c^4 u^2 v^2 w^5 x^2 y^2 z^2 +
 40 b^8 c^4 u^2 v^2 w^5 x^2 y^2 z^2 +
 40 a^6 c^6 u^2 v^2 w^5 x^2 y^2 z^2 +
 14 a^4 b^2 c^6 u^2 v^2 w^5 x^2 y^2 z^2 -
 14 a^2 b^4 c^6 u^2 v^2 w^5 x^2 y^2 z^2 -
 40 b^6 c^6 u^2 v^2 w^5 x^2 y^2 z^2 -
 20 a^4 c^8 u^2 v^2 w^5 x^2 y^2 z^2 +
 20 b^4 c^8 u^2 v^2 w^5 x^2 y^2 z^2 +
 4 a^2 c^10 u^2 v^2 w^5 x^2 y^2 z^2 -
 4 b^2 c^10 u^2 v^2 w^5 x^2 y^2 z^2 + 10 a^12 u v^3 w^5 x^2 y^2 z^2 +
 a^10 b^2 u v^3 w^5 x^2 y^2 z^2 - 4 a^8 b^4 u v^3 w^5 x^2 y^2 z^2 -
 26 a^6 b^6 u v^3 w^5 x^2 y^2 z^2 + 14 a^4 b^8 u v^3 w^5 x^2 y^2 z^2 +
  a^2 b^10 u v^3 w^5 x^2 y^2 z^2 + 4 b^12 u v^3 w^5 x^2 y^2 z^2 -
 23 a^10 c^2 u v^3 w^5 x^2 y^2 z^2 +
 16 a^8 b^2 c^2 u v^3 w^5 x^2 y^2 z^2 +
 34 a^6 b^4 c^2 u v^3 w^5 x^2 y^2 z^2 -
 3 a^2 b^8 c^2 u v^3 w^5 x^2 y^2 z^2 -
 24 b^10 c^2 u v^3 w^5 x^2 y^2 z^2 -
 4 a^8 c^4 u v^3 w^5 x^2 y^2 z^2 -
 86 a^6 b^2 c^4 u v^3 w^5 x^2 y^2 z^2 -
 76 a^4 b^4 c^4 u v^3 w^5 x^2 y^2 z^2 +
 2 a^2 b^6 c^4 u v^3 w^5 x^2 y^2 z^2 +
 60 b^8 c^4 u v^3 w^5 x^2 y^2 z^2 +
 46 a^6 c^6 u v^3 w^5 x^2 y^2 z^2 +
 96 a^4 b^2 c^6 u v^3 w^5 x^2 y^2 z^2 +
 2 a^2 b^4 c^6 u v^3 w^5 x^2 y^2 z^2 -
 80 b^6 c^6 u v^3 w^5 x^2 y^2 z^2 -
 34 a^4 c^8 u v^3 w^5 x^2 y^2 z^2 -
 3 a^2 b^2 c^8 u v^3 w^5 x^2 y^2 z^2 +
 60 b^4 c^8 u v^3 w^5 x^2 y^2 z^2 + a^2 c^10 u v^3 w^5 x^2 y^2 z^2 -
 24 b^2 c^10 u v^3 w^5 x^2 y^2 z^2 + 4 c^12 u v^3 w^5 x^2 y^2 z^2 +
 6 a^12 v^4 w^5 x^2 y^2 z^2 + 6 a^10 b^2 v^4 w^5 x^2 y^2 z^2 -
 18 a^8 b^4 v^4 w^5 x^2 y^2 z^2 - 6 a^6 b^6 v^4 w^5 x^2 y^2 z^2 +
 12 a^4 b^8 v^4 w^5 x^2 y^2 z^2 - 12 a^10 c^2 v^4 w^5 x^2 y^2 z^2 +
 18 a^8 b^2 c^2 v^4 w^5 x^2 y^2 z^2 +
 24 a^6 b^4 c^2 v^4 w^5 x^2 y^2 z^2 -
 30 a^4 b^6 c^2 v^4 w^5 x^2 y^2 z^2 -
 30 a^6 b^2 c^4 v^4 w^5 x^2 y^2 z^2 +
 18 a^4 b^4 c^4 v^4 w^5 x^2 y^2 z^2 +
 12 a^6 c^6 v^4 w^5 x^2 y^2 z^2 + 6 a^4 b^2 c^6 v^4 w^5 x^2 y^2 z^2 -
 6 a^4 c^8 v^4 w^5 x^2 y^2 z^2 - 6 a^8 b^4 u^3 w^6 x^2 y^2 z^2 -
 6 a^6 b^6 u^3 w^6 x^2 y^2 z^2 + 6 a^4 b^8 u^3 w^6 x^2 y^2 z^2 +
 6 a^2 b^10 u^3 w^6 x^2 y^2 z^2 +
 18 a^6 b^4 c^2 u^3 w^6 x^2 y^2 z^2 +
 12 a^4 b^6 c^2 u^3 w^6 x^2 y^2 z^2 -
 6 a^2 b^8 c^2 u^3 w^6 x^2 y^2 z^2 -
 18 a^4 b^4 c^4 u^3 w^6 x^2 y^2 z^2 -
 6 a^2 b^6 c^4 u^3 w^6 x^2 y^2 z^2 +
 6 a^2 b^4 c^6 u^3 w^6 x^2 y^2 z^2 - 2 a^12 u^2 v w^6 x^2 y^2 z^2 -
 7 a^10 b^2 u^2 v w^6 x^2 y^2 z^2 -
 14 a^8 b^4 u^2 v w^6 x^2 y^2 z^2 + 4 a^6 b^6 u^2 v w^6 x^2 y^2 z^2 +
 4 a^4 b^8 u^2 v w^6 x^2 y^2 z^2 +
 11 a^2 b^10 u^2 v w^6 x^2 y^2 z^2 + 4 b^12 u^2 v w^6 x^2 y^2 z^2 +
 12 a^10 c^2 u^2 v w^6 x^2 y^2 z^2 +
 34 a^8 b^2 c^2 u^2 v w^6 x^2 y^2 z^2 +
 38 a^6 b^4 c^2 u^2 v w^6 x^2 y^2 z^2 -
 4 a^4 b^6 c^2 u^2 v w^6 x^2 y^2 z^2 -
 38 a^2 b^8 c^2 u^2 v w^6 x^2 y^2 z^2 -
 18 b^10 c^2 u^2 v w^6 x^2 y^2 z^2 -
 30 a^8 c^4 u^2 v w^6 x^2 y^2 z^2 -
 66 a^6 b^2 c^4 u^2 v w^6 x^2 y^2 z^2 -
 34 a^4 b^4 c^4 u^2 v w^6 x^2 y^2 z^2 +
 36 a^2 b^6 c^4 u^2 v w^6 x^2 y^2 z^2 +
 30 b^8 c^4 u^2 v w^6 x^2 y^2 z^2 +
 40 a^6 c^6 u^2 v w^6 x^2 y^2 z^2 +
 64 a^4 b^2 c^6 u^2 v w^6 x^2 y^2 z^2 +
 10 a^2 b^4 c^6 u^2 v w^6 x^2 y^2 z^2 -
 20 b^6 c^6 u^2 v w^6 x^2 y^2 z^2 -
 30 a^4 c^8 u^2 v w^6 x^2 y^2 z^2 -
 31 a^2 b^2 c^8 u^2 v w^6 x^2 y^2 z^2 +
 12 a^2 c^10 u^2 v w^6 x^2 y^2 z^2 +
 6 b^2 c^10 u^2 v w^6 x^2 y^2 z^2 - 2 c^12 u^2 v w^6 x^2 y^2 z^2 -
 4 a^12 u v^2 w^6 x^2 y^2 z^2 - 11 a^10 b^2 u v^2 w^6 x^2 y^2 z^2 -
 4 a^8 b^4 u v^2 w^6 x^2 y^2 z^2 - 4 a^6 b^6 u v^2 w^6 x^2 y^2 z^2 +
 14 a^4 b^8 u v^2 w^6 x^2 y^2 z^2 +
 7 a^2 b^10 u v^2 w^6 x^2 y^2 z^2 + 2 b^12 u v^2 w^6 x^2 y^2 z^2 +
 18 a^10 c^2 u v^2 w^6 x^2 y^2 z^2 +
 38 a^8 b^2 c^2 u v^2 w^6 x^2 y^2 z^2 +
 4 a^6 b^4 c^2 u v^2 w^6 x^2 y^2 z^2 -
 38 a^4 b^6 c^2 u v^2 w^6 x^2 y^2 z^2 -
 34 a^2 b^8 c^2 u v^2 w^6 x^2 y^2 z^2 -
 12 b^10 c^2 u v^2 w^6 x^2 y^2 z^2 -
 30 a^8 c^4 u v^2 w^6 x^2 y^2 z^2 -
 36 a^6 b^2 c^4 u v^2 w^6 x^2 y^2 z^2 +
 34 a^4 b^4 c^4 u v^2 w^6 x^2 y^2 z^2 +
 66 a^2 b^6 c^4 u v^2 w^6 x^2 y^2 z^2 +
 30 b^8 c^4 u v^2 w^6 x^2 y^2 z^2 +
 20 a^6 c^6 u v^2 w^6 x^2 y^2 z^2 -
 10 a^4 b^2 c^6 u v^2 w^6 x^2 y^2 z^2 -
 64 a^2 b^4 c^6 u v^2 w^6 x^2 y^2 z^2 -
 40 b^6 c^6 u v^2 w^6 x^2 y^2 z^2 +
 31 a^2 b^2 c^8 u v^2 w^6 x^2 y^2 z^2 +
 30 b^4 c^8 u v^2 w^6 x^2 y^2 z^2 -
 6 a^2 c^10 u v^2 w^6 x^2 y^2 z^2 -
 12 b^2 c^10 u v^2 w^6 x^2 y^2 z^2 + 2 c^12 u v^2 w^6 x^2 y^2 z^2 -
 6 a^10 b^2 v^3 w^6 x^2 y^2 z^2 - 6 a^8 b^4 v^3 w^6 x^2 y^2 z^2 +
 6 a^6 b^6 v^3 w^6 x^2 y^2 z^2 + 6 a^4 b^8 v^3 w^6 x^2 y^2 z^2 +
 6 a^8 b^2 c^2 v^3 w^6 x^2 y^2 z^2 -
 12 a^6 b^4 c^2 v^3 w^6 x^2 y^2 z^2 -
 18 a^4 b^6 c^2 v^3 w^6 x^2 y^2 z^2 +
 6 a^6 b^2 c^4 v^3 w^6 x^2 y^2 z^2 +
 18 a^4 b^4 c^4 v^3 w^6 x^2 y^2 z^2 -
 6 a^4 b^2 c^6 v^3 w^6 x^2 y^2 z^2 - a^8 c^4 u^6 v^3 x y^3 z^2 +
 4 a^6 b^2 c^4 u^6 v^3 x y^3 z^2 - 6 a^4 b^4 c^4 u^6 v^3 x y^3 z^2 +
 4 a^2 b^6 c^4 u^6 v^3 x y^3 z^2 - b^8 c^4 u^6 v^3 x y^3 z^2 +
 2 a^6 c^6 u^6 v^3 x y^3 z^2 - 2 a^4 b^2 c^6 u^6 v^3 x y^3 z^2 -
 2 a^2 b^4 c^6 u^6 v^3 x y^3 z^2 + 2 b^6 c^6 u^6 v^3 x y^3 z^2 -
 2 a^2 c^10 u^6 v^3 x y^3 z^2 - 2 b^2 c^10 u^6 v^3 x y^3 z^2 +
 c^12 u^6 v^3 x y^3 z^2 + 4 a^6 b^2 c^4 u^5 v^4 x y^3 z^2 -
 12 a^4 b^4 c^4 u^5 v^4 x y^3 z^2 +
 12 a^2 b^6 c^4 u^5 v^4 x y^3 z^2 - 4 b^8 c^4 u^5 v^4 x y^3 z^2 +
 2 a^6 c^6 u^5 v^4 x y^3 z^2 + 6 a^4 b^2 c^6 u^5 v^4 x y^3 z^2 -
 18 a^2 b^4 c^6 u^5 v^4 x y^3 z^2 + 10 b^6 c^6 u^5 v^4 x y^3 z^2 -
 2 a^4 c^8 u^5 v^4 x y^3 z^2 + 8 a^2 b^2 c^8 u^5 v^4 x y^3 z^2 -
 6 b^4 c^8 u^5 v^4 x y^3 z^2 - 2 a^2 c^10 u^5 v^4 x y^3 z^2 -
 2 b^2 c^10 u^5 v^4 x y^3 z^2 + 2 c^12 u^5 v^4 x y^3 z^2 +
 5 a^8 c^4 u^4 v^5 x y^3 z^2 - 12 a^6 b^2 c^4 u^4 v^5 x y^3 z^2 +
 6 a^4 b^4 c^4 u^4 v^5 x y^3 z^2 + 4 a^2 b^6 c^4 u^4 v^5 x y^3 z^2 -
 3 b^8 c^4 u^4 v^5 x y^3 z^2 + 8 a^6 c^6 u^4 v^5 x y^3 z^2 -
 4 a^4 b^2 c^6 u^4 v^5 x y^3 z^2 - 16 a^2 b^4 c^6 u^4 v^5 x y^3 z^2 +
 12 b^6 c^6 u^4 v^5 x y^3 z^2 - 2 a^4 c^8 u^4 v^5 x y^3 z^2 +
 20 a^2 b^2 c^8 u^4 v^5 x y^3 z^2 - 18 b^4 c^8 u^4 v^5 x y^3 z^2 -
 8 a^2 c^10 u^4 v^5 x y^3 z^2 + 12 b^2 c^10 u^4 v^5 x y^3 z^2 -
 3 c^12 u^4 v^5 x y^3 z^2 + 4 a^8 c^4 u^3 v^6 x y^3 z^2 -
 12 a^6 b^2 c^4 u^3 v^6 x y^3 z^2 +
 12 a^4 b^4 c^4 u^3 v^6 x y^3 z^2 - 4 a^2 b^6 c^4 u^3 v^6 x y^3 z^2 +
 12 a^6 c^6 u^3 v^6 x y^3 z^2 - 24 a^4 b^2 c^6 u^3 v^6 x y^3 z^2 +
 12 a^2 b^4 c^6 u^3 v^6 x y^3 z^2 + 12 a^4 c^8 u^3 v^6 x y^3 z^2 -
 12 a^2 b^2 c^8 u^3 v^6 x y^3 z^2 + 4 a^2 c^10 u^3 v^6 x y^3 z^2 -
 2 a^12 u^6 v^2 w x y^3 z^2 + 12 a^10 b^2 u^6 v^2 w x y^3 z^2 -
 30 a^8 b^4 u^6 v^2 w x y^3 z^2 + 40 a^6 b^6 u^6 v^2 w x y^3 z^2 -
 30 a^4 b^8 u^6 v^2 w x y^3 z^2 + 12 a^2 b^10 u^6 v^2 w x y^3 z^2 -
 2 b^12 u^6 v^2 w x y^3 z^2 + 7 a^10 c^2 u^6 v^2 w x y^3 z^2 -
 29 a^8 b^2 c^2 u^6 v^2 w x y^3 z^2 +
 46 a^6 b^4 c^2 u^6 v^2 w x y^3 z^2 -
 34 a^4 b^6 c^2 u^6 v^2 w x y^3 z^2 +
 11 a^2 b^8 c^2 u^6 v^2 w x y^3 z^2 - b^10 c^2 u^6 v^2 w x y^3 z^2 -
 5 a^8 c^4 u^6 v^2 w x y^3 z^2 + 8 a^6 b^2 c^4 u^6 v^2 w x y^3 z^2 +
 2 a^4 b^4 c^4 u^6 v^2 w x y^3 z^2 -
 8 a^2 b^6 c^4 u^6 v^2 w x y^3 z^2 + 3 b^8 c^4 u^6 v^2 w x y^3 z^2 -
 10 a^6 c^6 u^6 v^2 w x y^3 z^2 +
 14 a^4 b^2 c^6 u^6 v^2 w x y^3 z^2 -
 6 a^2 b^4 c^6 u^6 v^2 w x y^3 z^2 + 2 b^6 c^6 u^6 v^2 w x y^3 z^2 +
 20 a^4 c^8 u^6 v^2 w x y^3 z^2 + 4 a^2 b^2 c^8 u^6 v^2 w x y^3 z^2 +
 4 b^4 c^8 u^6 v^2 w x y^3 z^2 - 13 a^2 c^10 u^6 v^2 w x y^3 z^2 -
 9 b^2 c^10 u^6 v^2 w x y^3 z^2 + 3 c^12 u^6 v^2 w x y^3 z^2 -
 6 a^12 u^5 v^3 w x y^3 z^2 + 36 a^10 b^2 u^5 v^3 w x y^3 z^2 -
 90 a^8 b^4 u^5 v^3 w x y^3 z^2 + 120 a^6 b^6 u^5 v^3 w x y^3 z^2 -
 90 a^4 b^8 u^5 v^3 w x y^3 z^2 + 36 a^2 b^10 u^5 v^3 w x y^3 z^2 -
 6 b^12 u^5 v^3 w x y^3 z^2 + 9 a^10 c^2 u^5 v^3 w x y^3 z^2 -
 33 a^8 b^2 c^2 u^5 v^3 w x y^3 z^2 +
 42 a^6 b^4 c^2 u^5 v^3 w x y^3 z^2 -
 18 a^4 b^6 c^2 u^5 v^3 w x y^3 z^2 -
 3 a^2 b^8 c^2 u^5 v^3 w x y^3 z^2 + 3 b^10 c^2 u^5 v^3 w x y^3 z^2 +
 3 a^8 c^4 u^5 v^3 w x y^3 z^2 - 38 a^6 b^2 c^4 u^5 v^3 w x y^3 z^2 +
 76 a^4 b^4 c^4 u^5 v^3 w x y^3 z^2 -
 50 a^2 b^6 c^4 u^5 v^3 w x y^3 z^2 + 9 b^8 c^4 u^5 v^3 w x y^3 z^2 -
 14 a^6 c^6 u^5 v^3 w x y^3 z^2 - 6 a^2 b^4 c^6 u^5 v^3 w x y^3 z^2 +
 4 b^6 c^6 u^5 v^3 w x y^3 z^2 + 24 a^4 c^8 u^5 v^3 w x y^3 z^2 +
 50 a^2 b^2 c^8 u^5 v^3 w x y^3 z^2 - 6 b^4 c^8 u^5 v^3 w x y^3 z^2 -
 27 a^2 c^10 u^5 v^3 w x y^3 z^2 - 15 b^2 c^10 u^5 v^3 w x y^3 z^2 +
 11 c^12 u^5 v^3 w x y^3 z^2 - 6 a^12 u^4 v^4 w x y^3 z^2 +
 36 a^10 b^2 u^4 v^4 w x y^3 z^2 - 90 a^8 b^4 u^4 v^4 w x y^3 z^2 +
 120 a^6 b^6 u^4 v^4 w x y^3 z^2 - 90 a^4 b^8 u^4 v^4 w x y^3 z^2 +
 36 a^2 b^10 u^4 v^4 w x y^3 z^2 - 6 b^12 u^4 v^4 w x y^3 z^2 -
 5 a^10 c^2 u^4 v^4 w x y^3 z^2 +
 33 a^8 b^2 c^2 u^4 v^4 w x y^3 z^2 -
 82 a^6 b^4 c^2 u^4 v^4 w x y^3 z^2 +
 98 a^4 b^6 c^2 u^4 v^4 w x y^3 z^2 -
 57 a^2 b^8 c^2 u^4 v^4 w x y^3 z^2 +
 13 b^10 c^2 u^4 v^4 w x y^3 z^2 + 3 a^8 c^4 u^4 v^4 w x y^3 z^2 -
 28 a^6 b^2 c^4 u^4 v^4 w x y^3 z^2 +
 46 a^4 b^4 c^4 u^4 v^4 w x y^3 z^2 -
 20 a^2 b^6 c^4 u^4 v^4 w x y^3 z^2 - b^8 c^4 u^4 v^4 w x y^3 z^2 -
 6 a^6 c^6 u^4 v^4 w x y^3 z^2 - 82 a^4 b^2 c^6 u^4 v^4 w x y^3 z^2 +
 46 a^2 b^4 c^6 u^4 v^4 w x y^3 z^2 - 6 b^6 c^6 u^4 v^4 w x y^3 z^2 +
 44 a^4 c^8 u^4 v^4 w x y^3 z^2 +
 16 a^2 b^2 c^8 u^4 v^4 w x y^3 z^2 -
 16 b^4 c^8 u^4 v^4 w x y^3 z^2 - 21 a^2 c^10 u^4 v^4 w x y^3 z^2 +
 25 b^2 c^10 u^4 v^4 w x y^3 z^2 - 9 c^12 u^4 v^4 w x y^3 z^2 -
 2 a^12 u^3 v^5 w x y^3 z^2 + 12 a^10 b^2 u^3 v^5 w x y^3 z^2 -
 30 a^8 b^4 u^3 v^5 w x y^3 z^2 + 40 a^6 b^6 u^3 v^5 w x y^3 z^2 -
 30 a^4 b^8 u^3 v^5 w x y^3 z^2 + 12 a^2 b^10 u^3 v^5 w x y^3 z^2 -
 2 b^12 u^3 v^5 w x y^3 z^2 - 5 a^10 c^2 u^3 v^5 w x y^3 z^2 +
 29 a^8 b^2 c^2 u^3 v^5 w x y^3 z^2 -
 66 a^6 b^4 c^2 u^3 v^5 w x y^3 z^2 +
 74 a^4 b^6 c^2 u^3 v^5 w x y^3 z^2 -
 41 a^2 b^8 c^2 u^3 v^5 w x y^3 z^2 +
 9 b^10 c^2 u^3 v^5 w x y^3 z^2 + 3 a^8 c^4 u^3 v^5 w x y^3 z^2 +
 10 a^6 b^2 c^4 u^3 v^5 w x y^3 z^2 -
 44 a^4 b^4 c^4 u^3 v^5 w x y^3 z^2 +
 46 a^2 b^6 c^4 u^3 v^5 w x y^3 z^2 -
 15 b^8 c^4 u^3 v^5 w x y^3 z^2 - 24 a^6 c^6 u^3 v^5 w x y^3 z^2 -
 22 a^4 b^2 c^6 u^3 v^5 w x y^3 z^2 -
 12 a^2 b^4 c^6 u^3 v^5 w x y^3 z^2 +
 10 b^6 c^6 u^3 v^5 w x y^3 z^2 + 22 a^4 c^8 u^3 v^5 w x y^3 z^2 -
 10 a^2 b^2 c^8 u^3 v^5 w x y^3 z^2 +
 5 a^2 c^10 u^3 v^5 w x y^3 z^2 - 3 b^2 c^10 u^3 v^5 w x y^3 z^2 +
 c^12 u^3 v^5 w x y^3 z^2 + 2 a^10 c^2 u^2 v^6 w x y^3 z^2 -
 8 a^8 b^2 c^2 u^2 v^6 w x y^3 z^2 +
 12 a^6 b^4 c^2 u^2 v^6 w x y^3 z^2 -
 8 a^4 b^6 c^2 u^2 v^6 w x y^3 z^2 +
 2 a^2 b^8 c^2 u^2 v^6 w x y^3 z^2 + 16 a^8 c^4 u^2 v^6 w x y^3 z^2 -
 40 a^6 b^2 c^4 u^2 v^6 w x y^3 z^2 +
 32 a^4 b^4 c^4 u^2 v^6 w x y^3 z^2 -
 8 a^2 b^6 c^4 u^2 v^6 w x y^3 z^2 + 12 a^6 c^6 u^2 v^6 w x y^3 z^2 -
 40 a^4 b^2 c^6 u^2 v^6 w x y^3 z^2 +
 12 a^2 b^4 c^6 u^2 v^6 w x y^3 z^2 +
 16 a^4 c^8 u^2 v^6 w x y^3 z^2 - 8 a^2 b^2 c^8 u^2 v^6 w x y^3 z^2 +
 2 a^2 c^10 u^2 v^6 w x y^3 z^2 + 2 a^12 u^6 v w^2 x y^3 z^2 -
 7 a^10 b^2 u^6 v w^2 x y^3 z^2 + 5 a^8 b^4 u^6 v w^2 x y^3 z^2 +
 10 a^6 b^6 u^6 v w^2 x y^3 z^2 - 20 a^4 b^8 u^6 v w^2 x y^3 z^2 +
 13 a^2 b^10 u^6 v w^2 x y^3 z^2 - 3 b^12 u^6 v w^2 x y^3 z^2 -
 12 a^10 c^2 u^6 v w^2 x y^3 z^2 +
 31 a^8 b^2 c^2 u^6 v w^2 x y^3 z^2 -
 16 a^6 b^4 c^2 u^6 v w^2 x y^3 z^2 -
 18 a^4 b^6 c^2 u^6 v w^2 x y^3 z^2 +
 20 a^2 b^8 c^2 u^6 v w^2 x y^3 z^2 -
 5 b^10 c^2 u^6 v w^2 x y^3 z^2 + 30 a^8 c^4 u^6 v w^2 x y^3 z^2 -
 44 a^6 b^2 c^4 u^6 v w^2 x y^3 z^2 +
 24 a^4 b^4 c^4 u^6 v w^2 x y^3 z^2 -
 20 a^2 b^6 c^4 u^6 v w^2 x y^3 z^2 +
 10 b^8 c^4 u^6 v w^2 x y^3 z^2 - 40 a^6 c^6 u^6 v w^2 x y^3 z^2 +
 16 a^4 b^2 c^6 u^6 v w^2 x y^3 z^2 -
 12 a^2 b^4 c^6 u^6 v w^2 x y^3 z^2 + 4 b^6 c^6 u^6 v w^2 x y^3 z^2 +
 30 a^4 c^8 u^6 v w^2 x y^3 z^2 + 11 a^2 b^2 c^8 u^6 v w^2 x y^3 z^2 -
  b^4 c^8 u^6 v w^2 x y^3 z^2 - 12 a^2 c^10 u^6 v w^2 x y^3 z^2 -
 7 b^2 c^10 u^6 v w^2 x y^3 z^2 + 2 c^12 u^6 v w^2 x y^3 z^2 +
 2 a^12 u^5 v^2 w^2 x y^3 z^2 - a^10 b^2 u^5 v^2 w^2 x y^3 z^2 -
 25 a^8 b^4 u^5 v^2 w^2 x y^3 z^2 +
 70 a^6 b^6 u^5 v^2 w^2 x y^3 z^2 -
 80 a^4 b^8 u^5 v^2 w^2 x y^3 z^2 +
 43 a^2 b^10 u^5 v^2 w^2 x y^3 z^2 - 9 b^12 u^5 v^2 w^2 x y^3 z^2 -
 9 a^10 c^2 u^5 v^2 w^2 x y^3 z^2 +
 20 a^8 b^2 c^2 u^5 v^2 w^2 x y^3 z^2 -
 4 a^6 b^4 c^2 u^5 v^2 w^2 x y^3 z^2 -
 18 a^4 b^6 c^2 u^5 v^2 w^2 x y^3 z^2 +
 13 a^2 b^8 c^2 u^5 v^2 w^2 x y^3 z^2 -
 2 b^10 c^2 u^5 v^2 w^2 x y^3 z^2 +
 32 a^8 c^4 u^5 v^2 w^2 x y^3 z^2 -
 18 a^6 b^2 c^4 u^5 v^2 w^2 x y^3 z^2 +
 48 a^4 b^4 c^4 u^5 v^2 w^2 x y^3 z^2 -
 98 a^2 b^6 c^4 u^5 v^2 w^2 x y^3 z^2 +
 36 b^8 c^4 u^5 v^2 w^2 x y^3 z^2 -
 78 a^6 c^6 u^5 v^2 w^2 x y^3 z^2 -
 44 a^4 b^2 c^6 u^5 v^2 w^2 x y^3 z^2 +
 40 a^2 b^4 c^6 u^5 v^2 w^2 x y^3 z^2 -
 22 b^6 c^6 u^5 v^2 w^2 x y^3 z^2 +
 102 a^4 c^8 u^5 v^2 w^2 x y^3 z^2 +
 67 a^2 b^2 c^8 u^5 v^2 w^2 x y^3 z^2 +
 5 b^4 c^8 u^5 v^2 w^2 x y^3 z^2 -
 65 a^2 c^10 u^5 v^2 w^2 x y^3 z^2 -
 24 b^2 c^10 u^5 v^2 w^2 x y^3 z^2 + 16 c^12 u^5 v^2 w^2 x y^3 z^2 -
 6 a^12 u^4 v^3 w^2 x y^3 z^2 + 36 a^10 b^2 u^4 v^3 w^2 x y^3 z^2 -
 90 a^8 b^4 u^4 v^3 w^2 x y^3 z^2 +
 120 a^6 b^6 u^4 v^3 w^2 x y^3 z^2 -
 90 a^4 b^8 u^4 v^3 w^2 x y^3 z^2 +
 36 a^2 b^10 u^4 v^3 w^2 x y^3 z^2 - 6 b^12 u^4 v^3 w^2 x y^3 z^2 +
 3 a^10 c^2 u^4 v^3 w^2 x y^3 z^2 -
 17 a^8 b^2 c^2 u^4 v^3 w^2 x y^3 z^2 +
 22 a^6 b^4 c^2 u^4 v^3 w^2 x y^3 z^2 +
 6 a^4 b^6 c^2 u^4 v^3 w^2 x y^3 z^2 -
 25 a^2 b^8 c^2 u^4 v^3 w^2 x y^3 z^2 +
 11 b^10 c^2 u^4 v^3 w^2 x y^3 z^2 +
 51 a^8 c^4 u^4 v^3 w^2 x y^3 z^2 -
 32 a^6 b^2 c^4 u^4 v^3 w^2 x y^3 z^2 +
 38 a^4 b^4 c^4 u^4 v^3 w^2 x y^3 z^2 -
 72 a^2 b^6 c^4 u^4 v^3 w^2 x y^3 z^2 +
 15 b^8 c^4 u^4 v^3 w^2 x y^3 z^2 -
 110 a^6 c^6 u^4 v^3 w^2 x y^3 z^2 -
 6 a^4 b^2 c^6 u^4 v^3 w^2 x y^3 z^2 +
 54 a^2 b^4 c^6 u^4 v^3 w^2 x y^3 z^2 -
 50 b^6 c^6 u^4 v^3 w^2 x y^3 z^2 +
 84 a^4 c^8 u^4 v^3 w^2 x y^3 z^2 +
 28 a^2 b^2 c^8 u^4 v^3 w^2 x y^3 z^2 +
 40 b^4 c^8 u^4 v^3 w^2 x y^3 z^2 -
 21 a^2 c^10 u^4 v^3 w^2 x y^3 z^2 -
 9 b^2 c^10 u^4 v^3 w^2 x y^3 z^2 - c^12 u^4 v^3 w^2 x y^3 z^2 -
 11 a^12 u^3 v^4 w^2 x y^3 z^2 + 54 a^10 b^2 u^3 v^4 w^2 x y^3 z^2 -
 105 a^8 b^4 u^3 v^4 w^2 x y^3 z^2 +
 100 a^6 b^6 u^3 v^4 w^2 x y^3 z^2 -
 45 a^4 b^8 u^3 v^4 w^2 x y^3 z^2 + 6 a^2 b^10 u^3 v^4 w^2 x y^3 z^2 +
  b^12 u^3 v^4 w^2 x y^3 z^2 - 34 a^10 c^2 u^3 v^4 w^2 x y^3 z^2 +
 90 a^8 b^2 c^2 u^3 v^4 w^2 x y^3 z^2 -
 64 a^6 b^4 c^2 u^3 v^4 w^2 x y^3 z^2 -
 8 a^4 b^6 c^2 u^3 v^4 w^2 x y^3 z^2 +
 18 a^2 b^8 c^2 u^3 v^4 w^2 x y^3 z^2 -
 2 b^10 c^2 u^3 v^4 w^2 x y^3 z^2 +
 61 a^8 c^4 u^3 v^4 w^2 x y^3 z^2 -
 114 a^6 b^2 c^4 u^3 v^4 w^2 x y^3 z^2 +
 120 a^4 b^4 c^4 u^3 v^4 w^2 x y^3 z^2 -
 62 a^2 b^6 c^4 u^3 v^4 w^2 x y^3 z^2 -
 5 b^8 c^4 u^3 v^4 w^2 x y^3 z^2 - 10 a^6 c^6 u^3 v^4 w^2 x y^3 z^2 -
 92 a^4 b^2 c^6 u^3 v^4 w^2 x y^3 z^2 +
 18 a^2 b^4 c^6 u^3 v^4 w^2 x y^3 z^2 +
 20 b^6 c^6 u^3 v^4 w^2 x y^3 z^2 +
 25 a^4 c^8 u^3 v^4 w^2 x y^3 z^2 +
 48 a^2 b^2 c^8 u^3 v^4 w^2 x y^3 z^2 -
 25 b^4 c^8 u^3 v^4 w^2 x y^3 z^2 -
 28 a^2 c^10 u^3 v^4 w^2 x y^3 z^2 +
 14 b^2 c^10 u^3 v^4 w^2 x y^3 z^2 - 3 c^12 u^3 v^4 w^2 x y^3 z^2 -
 4 a^12 u^2 v^5 w^2 x y^3 z^2 + 19 a^10 b^2 u^2 v^5 w^2 x y^3 z^2 -
 35 a^8 b^4 u^2 v^5 w^2 x y^3 z^2 +
 30 a^6 b^6 u^2 v^5 w^2 x y^3 z^2 - 10 a^4 b^8 u^2 v^5 w^2 x y^3 z^2 -
  a^2 b^10 u^2 v^5 w^2 x y^3 z^2 + b^12 u^2 v^5 w^2 x y^3 z^2 -
 39 a^10 c^2 u^2 v^5 w^2 x y^3 z^2 +
 114 a^8 b^2 c^2 u^2 v^5 w^2 x y^3 z^2 -
 102 a^6 b^4 c^2 u^2 v^5 w^2 x y^3 z^2 +
 12 a^4 b^6 c^2 u^2 v^5 w^2 x y^3 z^2 +
 21 a^2 b^8 c^2 u^2 v^5 w^2 x y^3 z^2 -
 6 b^10 c^2 u^2 v^5 w^2 x y^3 z^2 -
 19 a^8 c^4 u^2 v^5 w^2 x y^3 z^2 +
 26 a^6 b^2 c^4 u^2 v^5 w^2 x y^3 z^2 +
 52 a^4 b^4 c^4 u^2 v^5 w^2 x y^3 z^2 -
 74 a^2 b^6 c^4 u^2 v^5 w^2 x y^3 z^2 +
 15 b^8 c^4 u^2 v^5 w^2 x y^3 z^2 - 2 a^6 c^6 u^2 v^5 w^2 x y^3 z^2 -
 100 a^4 b^2 c^6 u^2 v^5 w^2 x y^3 z^2 +
 106 a^2 b^4 c^6 u^2 v^5 w^2 x y^3 z^2 -
 20 b^6 c^6 u^2 v^5 w^2 x y^3 z^2 +
 46 a^4 c^8 u^2 v^5 w^2 x y^3 z^2 -
 69 a^2 b^2 c^8 u^2 v^5 w^2 x y^3 z^2 +
 15 b^4 c^8 u^2 v^5 w^2 x y^3 z^2 +
 17 a^2 c^10 u^2 v^5 w^2 x y^3 z^2 -
 6 b^2 c^10 u^2 v^5 w^2 x y^3 z^2 + c^12 u^2 v^5 w^2 x y^3 z^2 +
 a^12 u v^6 w^2 x y^3 z^2 - 5 a^10 b^2 u v^6 w^2 x y^3 z^2 +
 10 a^8 b^4 u v^6 w^2 x y^3 z^2 - 10 a^6 b^6 u v^6 w^2 x y^3 z^2 +
 5 a^4 b^8 u v^6 w^2 x y^3 z^2 - a^2 b^10 u v^6 w^2 x y^3 z^2 -
 a^10 c^2 u v^6 w^2 x y^3 z^2 - 2 a^8 b^2 c^2 u v^6 w^2 x y^3 z^2 +
 12 a^6 b^4 c^2 u v^6 w^2 x y^3 z^2 -
 14 a^4 b^6 c^2 u v^6 w^2 x y^3 z^2 +
 5 a^2 b^8 c^2 u v^6 w^2 x y^3 z^2 -
 2 a^6 b^2 c^4 u v^6 w^2 x y^3 z^2 +
 12 a^4 b^4 c^4 u v^6 w^2 x y^3 z^2 -
 10 a^2 b^6 c^4 u v^6 w^2 x y^3 z^2 -
 2 a^4 b^2 c^6 u v^6 w^2 x y^3 z^2 +
 10 a^2 b^4 c^6 u v^6 w^2 x y^3 z^2 - a^4 c^8 u v^6 w^2 x y^3 z^2 -
 5 a^2 b^2 c^8 u v^6 w^2 x y^3 z^2 + a^2 c^10 u v^6 w^2 x y^3 z^2 -
 a^8 b^4 u^6 w^3 x y^3 z^2 + 4 a^6 b^6 u^6 w^3 x y^3 z^2 -
 6 a^4 b^8 u^6 w^3 x y^3 z^2 + 4 a^2 b^10 u^6 w^3 x y^3 z^2 -
 b^12 u^6 w^3 x y^3 z^2 - 4 a^6 b^4 c^2 u^6 w^3 x y^3 z^2 +
 4 a^4 b^6 c^2 u^6 w^3 x y^3 z^2 + 4 a^2 b^8 c^2 u^6 w^3 x y^3 z^2 -
 4 b^10 c^2 u^6 w^3 x y^3 z^2 + 6 a^4 b^4 c^4 u^6 w^3 x y^3 z^2 -
 12 a^2 b^6 c^4 u^6 w^3 x y^3 z^2 + 6 b^8 c^4 u^6 w^3 x y^3 z^2 +
 4 a^2 b^4 c^6 u^6 w^3 x y^3 z^2 + 4 b^6 c^6 u^6 w^3 x y^3 z^2 -
 5 b^4 c^8 u^6 w^3 x y^3 z^2 + 4 a^12 u^5 v w^3 x y^3 z^2 -
 8 a^10 b^2 u^5 v w^3 x y^3 z^2 - 8 a^8 b^4 u^5 v w^3 x y^3 z^2 +
 32 a^6 b^6 u^5 v w^3 x y^3 z^2 - 28 a^4 b^8 u^5 v w^3 x y^3 z^2 +
 8 a^2 b^10 u^5 v w^3 x y^3 z^2 - 27 a^10 c^2 u^5 v w^3 x y^3 z^2 +
 33 a^8 b^2 c^2 u^5 v w^3 x y^3 z^2 +
 16 a^6 b^4 c^2 u^5 v w^3 x y^3 z^2 -
 36 a^4 b^6 c^2 u^5 v w^3 x y^3 z^2 +
 27 a^2 b^8 c^2 u^5 v w^3 x y^3 z^2 -
 13 b^10 c^2 u^5 v w^3 x y^3 z^2 + 75 a^8 c^4 u^5 v w^3 x y^3 z^2 -
 40 a^6 b^2 c^4 u^5 v w^3 x y^3 z^2 -
 20 a^4 b^4 c^4 u^5 v w^3 x y^3 z^2 -
 28 a^2 b^6 c^4 u^5 v w^3 x y^3 z^2 +
 29 b^8 c^4 u^5 v w^3 x y^3 z^2 - 110 a^6 c^6 u^5 v w^3 x y^3 z^2 +
 2 a^4 b^2 c^6 u^5 v w^3 x y^3 z^2 +
 8 a^2 b^4 c^6 u^5 v w^3 x y^3 z^2 - 16 b^6 c^6 u^5 v w^3 x y^3 z^2 +
 90 a^4 c^8 u^5 v w^3 x y^3 z^2 +
 24 a^2 b^2 c^8 u^5 v w^3 x y^3 z^2 + 4 b^4 c^8 u^5 v w^3 x y^3 z^2 -
 39 a^2 c^10 u^5 v w^3 x y^3 z^2 - 11 b^2 c^10 u^5 v w^3 x y^3 z^2 +
 7 c^12 u^5 v w^3 x y^3 z^2 + 13 a^12 u^4 v^2 w^3 x y^3 z^2 -
 19 a^10 b^2 u^4 v^2 w^3 x y^3 z^2 -
 47 a^8 b^4 u^4 v^2 w^3 x y^3 z^2 +
 118 a^6 b^6 u^4 v^2 w^3 x y^3 z^2 -
 77 a^4 b^8 u^4 v^2 w^3 x y^3 z^2 +
 5 a^2 b^10 u^4 v^2 w^3 x y^3 z^2 + 7 b^12 u^4 v^2 w^3 x y^3 z^2 -
 48 a^10 c^2 u^4 v^2 w^3 x y^3 z^2 +
 95 a^8 b^2 c^2 u^4 v^2 w^3 x y^3 z^2 -
 32 a^6 b^4 c^2 u^4 v^2 w^3 x y^3 z^2 -
 50 a^4 b^6 c^2 u^4 v^2 w^3 x y^3 z^2 +
 56 a^2 b^8 c^2 u^4 v^2 w^3 x y^3 z^2 -
 21 b^10 c^2 u^4 v^2 w^3 x y^3 z^2 +
 75 a^8 c^4 u^4 v^2 w^3 x y^3 z^2 -
 94 a^6 b^2 c^4 u^4 v^2 w^3 x y^3 z^2 +
 118 a^4 b^4 c^4 u^4 v^2 w^3 x y^3 z^2 -
 94 a^2 b^6 c^4 u^4 v^2 w^3 x y^3 z^2 +
 27 b^8 c^4 u^4 v^2 w^3 x y^3 z^2 -
 80 a^6 c^6 u^4 v^2 w^3 x y^3 z^2 -
 66 a^4 b^2 c^6 u^4 v^2 w^3 x y^3 z^2 -
 48 a^2 b^4 c^6 u^4 v^2 w^3 x y^3 z^2 -
 38 b^6 c^6 u^4 v^2 w^3 x y^3 z^2 +
 75 a^4 c^8 u^4 v^2 w^3 x y^3 z^2 +
 129 a^2 b^2 c^8 u^4 v^2 w^3 x y^3 z^2 +
 57 b^4 c^8 u^4 v^2 w^3 x y^3 z^2 -
 48 a^2 c^10 u^4 v^2 w^3 x y^3 z^2 -
 45 b^2 c^10 u^4 v^2 w^3 x y^3 z^2 + 13 c^12 u^4 v^2 w^3 x y^3 z^2 +
 15 a^12 u^3 v^3 w^3 x y^3 z^2 - 29 a^10 b^2 u^3 v^3 w^3 x y^3 z^2 -
 28 a^8 b^4 u^3 v^3 w^3 x y^3 z^2 +
 102 a^6 b^6 u^3 v^3 w^3 x y^3 z^2 -
 73 a^4 b^8 u^3 v^3 w^3 x y^3 z^2 +
 7 a^2 b^10 u^3 v^3 w^3 x y^3 z^2 + 6 b^12 u^3 v^3 w^3 x y^3 z^2 -
 5 a^10 c^2 u^3 v^3 w^3 x y^3 z^2 +
 84 a^8 b^2 c^2 u^3 v^3 w^3 x y^3 z^2 -
 150 a^6 b^4 c^2 u^3 v^3 w^3 x y^3 z^2 +
 44 a^4 b^6 c^2 u^3 v^3 w^3 x y^3 z^2 +
 51 a^2 b^8 c^2 u^3 v^3 w^3 x y^3 z^2 -
 24 b^10 c^2 u^3 v^3 w^3 x y^3 z^2 -
 28 a^8 c^4 u^3 v^3 w^3 x y^3 z^2 +
 62 a^6 b^2 c^4 u^3 v^3 w^3 x y^3 z^2 +
 102 a^4 b^4 c^4 u^3 v^3 w^3 x y^3 z^2 -
 166 a^2 b^6 c^4 u^3 v^3 w^3 x y^3 z^2 +
 30 b^8 c^4 u^3 v^3 w^3 x y^3 z^2 -
 30 a^6 c^6 u^3 v^3 w^3 x y^3 z^2 -
 156 a^4 b^2 c^6 u^3 v^3 w^3 x y^3 z^2 +
 122 a^2 b^4 c^6 u^3 v^3 w^3 x y^3 z^2 +
 83 a^4 c^8 u^3 v^3 w^3 x y^3 z^2 +
 15 a^2 b^2 c^8 u^3 v^3 w^3 x y^3 z^2 -
 30 b^4 c^8 u^3 v^3 w^3 x y^3 z^2 -
 29 a^2 c^10 u^3 v^3 w^3 x y^3 z^2 +
 24 b^2 c^10 u^3 v^3 w^3 x y^3 z^2 - 6 c^12 u^3 v^3 w^3 x y^3 z^2 -
 2 a^12 u^2 v^4 w^3 x y^3 z^2 + 7 a^10 b^2 u^2 v^4 w^3 x y^3 z^2 -
 8 a^8 b^4 u^2 v^4 w^3 x y^3 z^2 + 2 a^6 b^6 u^2 v^4 w^3 x y^3 z^2 +
 2 a^4 b^8 u^2 v^4 w^3 x y^3 z^2 - a^2 b^10 u^2 v^4 w^3 x y^3 z^2 +
 5 a^10 c^2 u^2 v^4 w^3 x y^3 z^2 +
 32 a^8 b^2 c^2 u^2 v^4 w^3 x y^3 z^2 -
 62 a^6 b^4 c^2 u^2 v^4 w^3 x y^3 z^2 +
 8 a^4 b^6 c^2 u^2 v^4 w^3 x y^3 z^2 +
 17 a^2 b^8 c^2 u^2 v^4 w^3 x y^3 z^2 +
 12 a^8 c^4 u^2 v^4 w^3 x y^3 z^2 +
 46 a^6 b^2 c^4 u^2 v^4 w^3 x y^3 z^2 -
 32 a^4 b^4 c^4 u^2 v^4 w^3 x y^3 z^2 -
 58 a^2 b^6 c^4 u^2 v^4 w^3 x y^3 z^2 -
 18 a^6 c^6 u^2 v^4 w^3 x y^3 z^2 +
 32 a^4 b^2 c^6 u^2 v^4 w^3 x y^3 z^2 +
 82 a^2 b^4 c^6 u^2 v^4 w^3 x y^3 z^2 -
 10 a^4 c^8 u^2 v^4 w^3 x y^3 z^2 -
 53 a^2 b^2 c^8 u^2 v^4 w^3 x y^3 z^2 +
 13 a^2 c^10 u^2 v^4 w^3 x y^3 z^2 - 9 a^12 u v^5 w^3 x y^3 z^2 +
 29 a^10 b^2 u v^5 w^3 x y^3 z^2 - 26 a^8 b^4 u v^5 w^3 x y^3 z^2 -
 6 a^6 b^6 u v^5 w^3 x y^3 z^2 + 19 a^4 b^8 u v^5 w^3 x y^3 z^2 -
 7 a^2 b^10 u v^5 w^3 x y^3 z^2 - 27 a^10 c^2 u v^5 w^3 x y^3 z^2 +
 58 a^8 b^2 c^2 u v^5 w^3 x y^3 z^2 -
 66 a^4 b^6 c^2 u v^5 w^3 x y^3 z^2 +
 35 a^2 b^8 c^2 u v^5 w^3 x y^3 z^2 - 8 a^8 c^4 u v^5 w^3 x y^3 z^2 -
 22 a^6 b^2 c^4 u v^5 w^3 x y^3 z^2 +
 84 a^4 b^4 c^4 u v^5 w^3 x y^3 z^2 -
 70 a^2 b^6 c^4 u v^5 w^3 x y^3 z^2 +
 28 a^6 c^6 u v^5 w^3 x y^3 z^2 -
 46 a^4 b^2 c^6 u v^5 w^3 x y^3 z^2 +
 70 a^2 b^4 c^6 u v^5 w^3 x y^3 z^2 + 9 a^4 c^8 u v^5 w^3 x y^3 z^2 -
 35 a^2 b^2 c^8 u v^5 w^3 x y^3 z^2 + 7 a^2 c^10 u v^5 w^3 x y^3 z^2 -
  a^12 v^6 w^3 x y^3 z^2 + 4 a^10 b^2 v^6 w^3 x y^3 z^2 -
 6 a^8 b^4 v^6 w^3 x y^3 z^2 + 4 a^6 b^6 v^6 w^3 x y^3 z^2 -
 a^4 b^8 v^6 w^3 x y^3 z^2 - 4 a^10 c^2 v^6 w^3 x y^3 z^2 +
 12 a^8 b^2 c^2 v^6 w^3 x y^3 z^2 -
 12 a^6 b^4 c^2 v^6 w^3 x y^3 z^2 + 4 a^4 b^6 c^2 v^6 w^3 x y^3 z^2 -
 6 a^8 c^4 v^6 w^3 x y^3 z^2 + 12 a^6 b^2 c^4 v^6 w^3 x y^3 z^2 -
 6 a^4 b^4 c^4 v^6 w^3 x y^3 z^2 - 4 a^6 c^6 v^6 w^3 x y^3 z^2 +
 4 a^4 b^2 c^6 v^6 w^3 x y^3 z^2 - a^4 c^8 v^6 w^3 x y^3 z^2 -
 7 a^8 b^4 u^5 w^4 x y^3 z^2 + 18 a^6 b^6 u^5 w^4 x y^3 z^2 -
 12 a^4 b^8 u^5 w^4 x y^3 z^2 - 2 a^2 b^10 u^5 w^4 x y^3 z^2 +
 3 b^12 u^5 w^4 x y^3 z^2 - 2 a^6 b^4 c^2 u^5 w^4 x y^3 z^2 -
 12 a^4 b^6 c^2 u^5 w^4 x y^3 z^2 +
 22 a^2 b^8 c^2 u^5 w^4 x y^3 z^2 - 8 b^10 c^2 u^5 w^4 x y^3 z^2 +
 24 a^4 b^4 c^4 u^5 w^4 x y^3 z^2 - 6 a^2 b^6 c^4 u^5 w^4 x y^3 z^2 +
 6 b^8 c^4 u^5 w^4 x y^3 z^2 - 14 a^2 b^4 c^6 u^5 w^4 x y^3 z^2 -
 b^4 c^8 u^5 w^4 x y^3 z^2 - a^12 u^4 v w^4 x y^3 z^2 -
 14 a^8 b^4 u^4 v w^4 x y^3 z^2 + 44 a^6 b^6 u^4 v w^4 x y^3 z^2 -
 33 a^4 b^8 u^4 v w^4 x y^3 z^2 - 4 a^2 b^10 u^4 v w^4 x y^3 z^2 +
 8 b^12 u^4 v w^4 x y^3 z^2 - 3 a^10 c^2 u^4 v w^4 x y^3 z^2 -
 23 a^8 b^2 c^2 u^4 v w^4 x y^3 z^2 -
 14 a^6 b^4 c^2 u^4 v w^4 x y^3 z^2 +
 22 a^4 b^6 c^2 u^4 v w^4 x y^3 z^2 +
 41 a^2 b^8 c^2 u^4 v w^4 x y^3 z^2 -
 23 b^10 c^2 u^4 v w^4 x y^3 z^2 + 30 a^8 c^4 u^4 v w^4 x y^3 z^2 +
 92 a^6 b^2 c^4 u^4 v w^4 x y^3 z^2 +
 42 a^4 b^4 c^4 u^4 v w^4 x y^3 z^2 -
 56 a^2 b^6 c^4 u^4 v w^4 x y^3 z^2 +
 20 b^8 c^4 u^4 v w^4 x y^3 z^2 - 70 a^6 c^6 u^4 v w^4 x y^3 z^2 -
 138 a^4 b^2 c^6 u^4 v w^4 x y^3 z^2 -
 34 a^2 b^4 c^6 u^4 v w^4 x y^3 z^2 -
 10 b^6 c^6 u^4 v w^4 x y^3 z^2 + 75 a^4 c^8 u^4 v w^4 x y^3 z^2 +
 92 a^2 b^2 c^8 u^4 v w^4 x y^3 z^2 +
 20 b^4 c^8 u^4 v w^4 x y^3 z^2 - 39 a^2 c^10 u^4 v w^4 x y^3 z^2 -
 23 b^2 c^10 u^4 v w^4 x y^3 z^2 + 8 c^12 u^4 v w^4 x y^3 z^2 +
 4 a^12 u^3 v^2 w^4 x y^3 z^2 + 9 a^10 b^2 u^3 v^2 w^4 x y^3 z^2 -
 59 a^8 b^4 u^3 v^2 w^4 x y^3 z^2 +
 82 a^6 b^6 u^3 v^2 w^4 x y^3 z^2 -
 42 a^4 b^8 u^3 v^2 w^4 x y^3 z^2 + 5 a^2 b^10 u^3 v^2 w^4 x y^3 z^2 +
  b^12 u^3 v^2 w^4 x y^3 z^2 - 21 a^10 c^2 u^3 v^2 w^4 x y^3 z^2 -
 34 a^8 b^2 c^2 u^3 v^2 w^4 x y^3 z^2 +
 10 a^6 b^4 c^2 u^3 v^2 w^4 x y^3 z^2 +
 48 a^4 b^6 c^2 u^3 v^2 w^4 x y^3 z^2 +
 3 a^2 b^8 c^2 u^3 v^2 w^4 x y^3 z^2 -
 6 b^10 c^2 u^3 v^2 w^4 x y^3 z^2 +
 45 a^8 c^4 u^3 v^2 w^4 x y^3 z^2 +
 38 a^6 b^2 c^4 u^3 v^2 w^4 x y^3 z^2 -
 20 a^4 b^4 c^4 u^3 v^2 w^4 x y^3 z^2 -
 30 a^2 b^6 c^4 u^3 v^2 w^4 x y^3 z^2 +
 15 b^8 c^4 u^3 v^2 w^4 x y^3 z^2 -
 50 a^6 c^6 u^3 v^2 w^4 x y^3 z^2 -
 16 a^4 b^2 c^6 u^3 v^2 w^4 x y^3 z^2 +
 22 a^2 b^4 c^6 u^3 v^2 w^4 x y^3 z^2 -
 20 b^6 c^6 u^3 v^2 w^4 x y^3 z^2 +
 30 a^4 c^8 u^3 v^2 w^4 x y^3 z^2 +
 9 a^2 b^2 c^8 u^3 v^2 w^4 x y^3 z^2 +
 15 b^4 c^8 u^3 v^2 w^4 x y^3 z^2 -
 9 a^2 c^10 u^3 v^2 w^4 x y^3 z^2 - 6 b^2 c^10 u^3 v^2 w^4 x y^3 z^2 +
  c^12 u^3 v^2 w^4 x y^3 z^2 + 24 a^12 u^2 v^3 w^4 x y^3 z^2 -
 28 a^10 b^2 u^2 v^3 w^4 x y^3 z^2 -
 43 a^8 b^4 u^2 v^3 w^4 x y^3 z^2 +
 60 a^6 b^6 u^2 v^3 w^4 x y^3 z^2 - 2 a^4 b^8 u^2 v^3 w^4 x y^3 z^2 -
 8 a^2 b^10 u^2 v^3 w^4 x y^3 z^2 - 3 b^12 u^2 v^3 w^4 x y^3 z^2 -
 28 a^10 c^2 u^2 v^3 w^4 x y^3 z^2 +
 68 a^8 b^2 c^2 u^2 v^3 w^4 x y^3 z^2 -
 50 a^6 b^4 c^2 u^2 v^3 w^4 x y^3 z^2 -
 38 a^4 b^6 c^2 u^2 v^3 w^4 x y^3 z^2 +
 30 a^2 b^8 c^2 u^2 v^3 w^4 x y^3 z^2 +
 18 b^10 c^2 u^2 v^3 w^4 x y^3 z^2 -
 49 a^8 c^4 u^2 v^3 w^4 x y^3 z^2 -
 56 a^6 b^2 c^4 u^2 v^3 w^4 x y^3 z^2 +
 62 a^4 b^4 c^4 u^2 v^3 w^4 x y^3 z^2 -
 40 a^2 b^6 c^4 u^2 v^3 w^4 x y^3 z^2 -
 45 b^8 c^4 u^2 v^3 w^4 x y^3 z^2 +
 78 a^6 c^6 u^2 v^3 w^4 x y^3 z^2 -
 2 a^4 b^2 c^6 u^2 v^3 w^4 x y^3 z^2 +
 20 a^2 b^4 c^6 u^2 v^3 w^4 x y^3 z^2 +
 60 b^6 c^6 u^2 v^3 w^4 x y^3 z^2 -
 20 a^4 c^8 u^2 v^3 w^4 x y^3 z^2 -
 45 b^4 c^8 u^2 v^3 w^4 x y^3 z^2 -
 2 a^2 c^10 u^2 v^3 w^4 x y^3 z^2 +
 18 b^2 c^10 u^2 v^3 w^4 x y^3 z^2 - 3 c^12 u^2 v^3 w^4 x y^3 z^2 +
 18 a^12 u v^4 w^4 x y^3 z^2 - 31 a^10 b^2 u v^4 w^4 x y^3 z^2 -
 6 a^8 b^4 u v^4 w^4 x y^3 z^2 + 24 a^6 b^6 u v^4 w^4 x y^3 z^2 +
 4 a^4 b^8 u v^4 w^4 x y^3 z^2 - 9 a^2 b^10 u v^4 w^4 x y^3 z^2 +
 5 a^10 c^2 u v^4 w^4 x y^3 z^2 +
 62 a^8 b^2 c^2 u v^4 w^4 x y^3 z^2 -
 102 a^6 b^4 c^2 u v^4 w^4 x y^3 z^2 -
 10 a^4 b^6 c^2 u v^4 w^4 x y^3 z^2 +
 45 a^2 b^8 c^2 u v^4 w^4 x y^3 z^2 -
 48 a^8 c^4 u v^4 w^4 x y^3 z^2 +
 60 a^6 b^2 c^4 u v^4 w^4 x y^3 z^2 +
 6 a^4 b^4 c^4 u v^4 w^4 x y^3 z^2 -
 90 a^2 b^6 c^4 u v^4 w^4 x y^3 z^2 +
 18 a^6 c^6 u v^4 w^4 x y^3 z^2 + 2 a^4 b^2 c^6 u v^4 w^4 x y^3 z^2 +
 90 a^2 b^4 c^6 u v^4 w^4 x y^3 z^2 - 2 a^4 c^8 u v^4 w^4 x y^3 z^2 -
 45 a^2 b^2 c^8 u v^4 w^4 x y^3 z^2 +
 9 a^2 c^10 u v^4 w^4 x y^3 z^2 - 11 a^8 b^4 u^4 w^5 x y^3 z^2 +
 16 a^6 b^6 u^4 w^5 x y^3 z^2 + 2 a^4 b^8 u^4 w^5 x y^3 z^2 -
 8 a^2 b^10 u^4 w^5 x y^3 z^2 + b^12 u^4 w^5 x y^3 z^2 +
 20 a^6 b^4 c^2 u^4 w^5 x y^3 z^2 -
 12 a^4 b^6 c^2 u^4 w^5 x y^3 z^2 +
 12 a^2 b^8 c^2 u^4 w^5 x y^3 z^2 - 4 b^10 c^2 u^4 w^5 x y^3 z^2 -
 6 a^4 b^4 c^4 u^4 w^5 x y^3 z^2 + 6 b^8 c^4 u^4 w^5 x y^3 z^2 -
 4 a^2 b^4 c^6 u^4 w^5 x y^3 z^2 - 4 b^6 c^6 u^4 w^5 x y^3 z^2 +
 b^4 c^8 u^4 w^5 x y^3 z^2 - 6 a^12 u^3 v w^5 x y^3 z^2 -
 8 a^10 b^2 u^3 v w^5 x y^3 z^2 - 8 a^8 b^4 u^3 v w^5 x y^3 z^2 +
 50 a^6 b^6 u^3 v w^5 x y^3 z^2 - 16 a^4 b^8 u^3 v w^5 x y^3 z^2 -
 10 a^2 b^10 u^3 v w^5 x y^3 z^2 - 2 b^12 u^3 v w^5 x y^3 z^2 +
 27 a^10 c^2 u^3 v w^5 x y^3 z^2 +
 23 a^8 b^2 c^2 u^3 v w^5 x y^3 z^2 -
 16 a^6 b^4 c^2 u^3 v w^5 x y^3 z^2 -
 10 a^4 b^6 c^2 u^3 v w^5 x y^3 z^2 +
 17 a^2 b^8 c^2 u^3 v w^5 x y^3 z^2 +
 7 b^10 c^2 u^3 v w^5 x y^3 z^2 - 45 a^8 c^4 u^3 v w^5 x y^3 z^2 -
 8 a^6 b^2 c^4 u^3 v w^5 x y^3 z^2 +
 60 a^4 b^4 c^4 u^3 v w^5 x y^3 z^2 +
 18 a^2 b^6 c^4 u^3 v w^5 x y^3 z^2 - 5 b^8 c^4 u^3 v w^5 x y^3 z^2 +
 30 a^6 c^6 u^3 v w^5 x y^3 z^2 -
 34 a^4 b^2 c^6 u^3 v w^5 x y^3 z^2 -
 56 a^2 b^4 c^6 u^3 v w^5 x y^3 z^2 -
 10 b^6 c^6 u^3 v w^5 x y^3 z^2 +
 40 a^2 b^2 c^8 u^3 v w^5 x y^3 z^2 +
 20 b^4 c^8 u^3 v w^5 x y^3 z^2 - 9 a^2 c^10 u^3 v w^5 x y^3 z^2 -
 13 b^2 c^10 u^3 v w^5 x y^3 z^2 + 3 c^12 u^3 v w^5 x y^3 z^2 -
 15 a^12 u^2 v^2 w^5 x y^3 z^2 - 5 a^10 b^2 u^2 v^2 w^5 x y^3 z^2 +
 8 a^8 b^4 u^2 v^2 w^5 x y^3 z^2 + 50 a^6 b^6 u^2 v^2 w^5 x y^3 z^2 -
 31 a^4 b^8 u^2 v^2 w^5 x y^3 z^2 -
 5 a^2 b^10 u^2 v^2 w^5 x y^3 z^2 - 2 b^12 u^2 v^2 w^5 x y^3 z^2 +
 55 a^10 c^2 u^2 v^2 w^5 x y^3 z^2 -
 4 a^8 b^2 c^2 u^2 v^2 w^5 x y^3 z^2 -
 70 a^6 b^4 c^2 u^2 v^2 w^5 x y^3 z^2 +
 32 a^4 b^6 c^2 u^2 v^2 w^5 x y^3 z^2 +
 23 a^2 b^8 c^2 u^2 v^2 w^5 x y^3 z^2 +
 12 b^10 c^2 u^2 v^2 w^5 x y^3 z^2 -
 72 a^8 c^4 u^2 v^2 w^5 x y^3 z^2 +
 30 a^6 b^2 c^4 u^2 v^2 w^5 x y^3 z^2 +
 22 a^4 b^4 c^4 u^2 v^2 w^5 x y^3 z^2 -
 42 a^2 b^6 c^4 u^2 v^2 w^5 x y^3 z^2 -
 30 b^8 c^4 u^2 v^2 w^5 x y^3 z^2 +
 38 a^6 c^6 u^2 v^2 w^5 x y^3 z^2 -
 16 a^4 b^2 c^6 u^2 v^2 w^5 x y^3 z^2 +
 38 a^2 b^4 c^6 u^2 v^2 w^5 x y^3 z^2 +
 40 b^6 c^6 u^2 v^2 w^5 x y^3 z^2 - 7 a^4 c^8 u^2 v^2 w^5 x y^3 z^2 -
 17 a^2 b^2 c^8 u^2 v^2 w^5 x y^3 z^2 -
 30 b^4 c^8 u^2 v^2 w^5 x y^3 z^2 +
 3 a^2 c^10 u^2 v^2 w^5 x y^3 z^2 +
 12 b^2 c^10 u^2 v^2 w^5 x y^3 z^2 - 2 c^12 u^2 v^2 w^5 x y^3 z^2 -
 3 a^12 u v^3 w^5 x y^3 z^2 - 11 a^10 b^2 u v^3 w^5 x y^3 z^2 +
 24 a^8 b^4 u v^3 w^5 x y^3 z^2 - 4 a^6 b^6 u v^3 w^5 x y^3 z^2 -
 5 a^4 b^8 u v^3 w^5 x y^3 z^2 - a^2 b^10 u v^3 w^5 x y^3 z^2 +
 17 a^10 c^2 u v^3 w^5 x y^3 z^2 -
 14 a^8 b^2 c^2 u v^3 w^5 x y^3 z^2 -
 18 a^6 b^4 c^2 u v^3 w^5 x y^3 z^2 +
 26 a^4 b^6 c^2 u v^3 w^5 x y^3 z^2 +
 5 a^2 b^8 c^2 u v^3 w^5 x y^3 z^2 - 34 a^8 c^4 u v^3 w^5 x y^3 z^2 -
 8 a^6 b^2 c^4 u v^3 w^5 x y^3 z^2 -
 48 a^4 b^4 c^4 u v^3 w^5 x y^3 z^2 -
 10 a^2 b^6 c^4 u v^3 w^5 x y^3 z^2 +
 30 a^6 c^6 u v^3 w^5 x y^3 z^2 +
 38 a^4 b^2 c^6 u v^3 w^5 x y^3 z^2 +
 10 a^2 b^4 c^6 u v^3 w^5 x y^3 z^2 -
 11 a^4 c^8 u v^3 w^5 x y^3 z^2 - 5 a^2 b^2 c^8 u v^3 w^5 x y^3 z^2 +
 a^2 c^10 u v^3 w^5 x y^3 z^2 + 3 a^12 v^4 w^5 x y^3 z^2 -
 6 a^8 b^4 v^4 w^5 x y^3 z^2 + 3 a^4 b^8 v^4 w^5 x y^3 z^2 +
 12 a^8 b^2 c^2 v^4 w^5 x y^3 z^2 -
 12 a^4 b^6 c^2 v^4 w^5 x y^3 z^2 - 6 a^8 c^4 v^4 w^5 x y^3 z^2 +
 18 a^4 b^4 c^4 v^4 w^5 x y^3 z^2 -
 12 a^4 b^2 c^6 v^4 w^5 x y^3 z^2 + 3 a^4 c^8 v^4 w^5 x y^3 z^2 -
 2 a^8 b^4 u^3 w^6 x y^3 z^2 + 2 a^6 b^6 u^3 w^6 x y^3 z^2 +
 2 a^4 b^8 u^3 w^6 x y^3 z^2 - 2 a^2 b^10 u^3 w^6 x y^3 z^2 +
 6 a^6 b^4 c^2 u^3 w^6 x y^3 z^2 + 4 a^4 b^6 c^2 u^3 w^6 x y^3 z^2 +
 6 a^2 b^8 c^2 u^3 w^6 x y^3 z^2 - 6 a^4 b^4 c^4 u^3 w^6 x y^3 z^2 -
 6 a^2 b^6 c^4 u^3 w^6 x y^3 z^2 + 2 a^2 b^4 c^6 u^3 w^6 x y^3 z^2 -
 3 a^12 u^2 v w^6 x y^3 z^2 - 3 a^10 b^2 u^2 v w^6 x y^3 z^2 +
 8 a^6 b^6 u^2 v w^6 x y^3 z^2 - 5 a^4 b^8 u^2 v w^6 x y^3 z^2 +
 3 a^2 b^10 u^2 v w^6 x y^3 z^2 + 15 a^10 c^2 u^2 v w^6 x y^3 z^2 +
 18 a^8 b^2 c^2 u^2 v w^6 x y^3 z^2 +
 14 a^6 b^4 c^2 u^2 v w^6 x y^3 z^2 +
 10 a^4 b^6 c^2 u^2 v w^6 x y^3 z^2 -
 9 a^2 b^8 c^2 u^2 v w^6 x y^3 z^2 - 30 a^8 c^4 u^2 v w^6 x y^3 z^2 -
 36 a^6 b^2 c^4 u^2 v w^6 x y^3 z^2 -
 20 a^4 b^4 c^4 u^2 v w^6 x y^3 z^2 +
 6 a^2 b^6 c^4 u^2 v w^6 x y^3 z^2 + 30 a^6 c^6 u^2 v w^6 x y^3 z^2 +
 30 a^4 b^2 c^6 u^2 v w^6 x y^3 z^2 +
 6 a^2 b^4 c^6 u^2 v w^6 x y^3 z^2 - 15 a^4 c^8 u^2 v w^6 x y^3 z^2 -
 9 a^2 b^2 c^8 u^2 v w^6 x y^3 z^2 + 3 a^2 c^10 u^2 v w^6 x y^3 z^2 -
 7 a^12 u v^2 w^6 x y^3 z^2 - 2 a^10 b^2 u v^2 w^6 x y^3 z^2 +
 2 a^8 b^4 u v^2 w^6 x y^3 z^2 + 5 a^4 b^8 u v^2 w^6 x y^3 z^2 +
 2 a^2 b^10 u v^2 w^6 x y^3 z^2 + 26 a^10 c^2 u v^2 w^6 x y^3 z^2 +
 16 a^8 b^2 c^2 u v^2 w^6 x y^3 z^2 -
 16 a^4 b^6 c^2 u v^2 w^6 x y^3 z^2 -
 10 a^2 b^8 c^2 u v^2 w^6 x y^3 z^2 -
 34 a^8 c^4 u v^2 w^6 x y^3 z^2 -
 16 a^6 b^2 c^4 u v^2 w^6 x y^3 z^2 +
 18 a^4 b^4 c^4 u v^2 w^6 x y^3 z^2 +
 20 a^2 b^6 c^4 u v^2 w^6 x y^3 z^2 +
 16 a^6 c^6 u v^2 w^6 x y^3 z^2 - 8 a^4 b^2 c^6 u v^2 w^6 x y^3 z^2 -
 20 a^2 b^4 c^6 u v^2 w^6 x y^3 z^2 + a^4 c^8 u v^2 w^6 x y^3 z^2 +
 10 a^2 b^2 c^8 u v^2 w^6 x y^3 z^2 -
 2 a^2 c^10 u v^2 w^6 x y^3 z^2 - 2 a^12 v^3 w^6 x y^3 z^2 -
 4 a^10 b^2 v^3 w^6 x y^3 z^2 + 4 a^6 b^6 v^3 w^6 x y^3 z^2 +
 2 a^4 b^8 v^3 w^6 x y^3 z^2 + 4 a^10 c^2 v^3 w^6 x y^3 z^2 -
 12 a^6 b^4 c^2 v^3 w^6 x y^3 z^2 - 8 a^4 b^6 c^2 v^3 w^6 x y^3 z^2 +
 12 a^6 b^2 c^4 v^3 w^6 x y^3 z^2 +
 12 a^4 b^4 c^4 v^3 w^6 x y^3 z^2 - 4 a^6 c^6 v^3 w^6 x y^3 z^2 -
 8 a^4 b^2 c^6 v^3 w^6 x y^3 z^2 + 2 a^4 c^8 v^3 w^6 x y^3 z^2 -
 a^8 c^4 u^6 v^3 y^4 z^2 + 2 a^6 b^2 c^4 u^6 v^3 y^4 z^2 -
 2 a^2 b^6 c^4 u^6 v^3 y^4 z^2 + b^8 c^4 u^6 v^3 y^4 z^2 -
 2 a^4 b^2 c^6 u^6 v^3 y^4 z^2 + 4 a^2 b^4 c^6 u^6 v^3 y^4 z^2 -
 2 b^6 c^6 u^6 v^3 y^4 z^2 + 2 a^4 c^8 u^6 v^3 y^4 z^2 -
 2 a^2 b^2 c^8 u^6 v^3 y^4 z^2 + 2 b^2 c^10 u^6 v^3 y^4 z^2 -
 c^12 u^6 v^3 y^4 z^2 - 3 a^8 c^4 u^5 v^4 y^4 z^2 +
 8 a^6 b^2 c^4 u^5 v^4 y^4 z^2 - 6 a^4 b^4 c^4 u^5 v^4 y^4 z^2 +
 b^8 c^4 u^5 v^4 y^4 z^2 - 4 a^6 c^6 u^5 v^4 y^4 z^2 +
 4 a^4 b^2 c^6 u^5 v^4 y^4 z^2 + 4 a^2 b^4 c^6 u^5 v^4 y^4 z^2 -
 4 b^6 c^6 u^5 v^4 y^4 z^2 + 2 a^4 c^8 u^5 v^4 y^4 z^2 -
 8 a^2 b^2 c^8 u^5 v^4 y^4 z^2 + 6 b^4 c^8 u^5 v^4 y^4 z^2 +
 4 a^2 c^10 u^5 v^4 y^4 z^2 - 4 b^2 c^10 u^5 v^4 y^4 z^2 +
 c^12 u^5 v^4 y^4 z^2 - 2 a^8 c^4 u^4 v^5 y^4 z^2 +
 6 a^6 b^2 c^4 u^4 v^5 y^4 z^2 - 6 a^4 b^4 c^4 u^4 v^5 y^4 z^2 +
 2 a^2 b^6 c^4 u^4 v^5 y^4 z^2 - 6 a^6 c^6 u^4 v^5 y^4 z^2 +
 12 a^4 b^2 c^6 u^4 v^5 y^4 z^2 - 6 a^2 b^4 c^6 u^4 v^5 y^4 z^2 -
 6 a^4 c^8 u^4 v^5 y^4 z^2 + 6 a^2 b^2 c^8 u^4 v^5 y^4 z^2 -
 2 a^2 c^10 u^4 v^5 y^4 z^2 + 3 a^10 c^2 u^6 v^2 w y^4 z^2 -
 10 a^8 b^2 c^2 u^6 v^2 w y^4 z^2 +
 10 a^6 b^4 c^2 u^6 v^2 w y^4 z^2 - 5 a^2 b^8 c^2 u^6 v^2 w y^4 z^2 +
 2 b^10 c^2 u^6 v^2 w y^4 z^2 - 4 a^8 c^4 u^6 v^2 w y^4 z^2 +
 8 a^6 b^2 c^4 u^6 v^2 w y^4 z^2 - 8 a^4 b^4 c^4 u^6 v^2 w y^4 z^2 +
 8 a^2 b^6 c^4 u^6 v^2 w y^4 z^2 - 4 b^8 c^4 u^6 v^2 w y^4 z^2 -
 4 a^6 c^6 u^6 v^2 w y^4 z^2 + 2 a^4 b^2 c^6 u^6 v^2 w y^4 z^2 +
 2 b^6 c^6 u^6 v^2 w y^4 z^2 + 6 a^4 c^8 u^6 v^2 w y^4 z^2 -
 4 a^2 b^2 c^8 u^6 v^2 w y^4 z^2 - 2 b^4 c^8 u^6 v^2 w y^4 z^2 +
 a^2 c^10 u^6 v^2 w y^4 z^2 + 4 b^2 c^10 u^6 v^2 w y^4 z^2 -
 2 c^12 u^6 v^2 w y^4 z^2 + 9 a^10 c^2 u^5 v^3 w y^4 z^2 -
 34 a^8 b^2 c^2 u^5 v^3 w y^4 z^2 +
 46 a^6 b^4 c^2 u^5 v^3 w y^4 z^2 - 24 a^4 b^6 c^2 u^5 v^3 w y^4 z^2 +
  a^2 b^8 c^2 u^5 v^3 w y^4 z^2 + 2 b^10 c^2 u^5 v^3 w y^4 z^2 -
 8 a^8 c^4 u^5 v^3 w y^4 z^2 + 16 a^4 b^4 c^4 u^5 v^3 w y^4 z^2 -
 8 b^8 c^4 u^5 v^3 w y^4 z^2 - 10 a^6 c^6 u^5 v^3 w y^4 z^2 -
 2 a^2 b^4 c^6 u^5 v^3 w y^4 z^2 + 12 b^6 c^6 u^5 v^3 w y^4 z^2 +
 8 a^4 c^8 u^5 v^3 w y^4 z^2 - 8 b^4 c^8 u^5 v^3 w y^4 z^2 +
 a^2 c^10 u^5 v^3 w y^4 z^2 + 2 b^2 c^10 u^5 v^3 w y^4 z^2 +
 7 a^10 c^2 u^4 v^4 w y^4 z^2 - 28 a^8 b^2 c^2 u^4 v^4 w y^4 z^2 +
 42 a^6 b^4 c^2 u^4 v^4 w y^4 z^2 -
 28 a^4 b^6 c^2 u^4 v^4 w y^4 z^2 + 7 a^2 b^8 c^2 u^4 v^4 w y^4 z^2 -
 12 a^8 c^4 u^4 v^4 w y^4 z^2 - 4 a^6 b^2 c^4 u^4 v^4 w y^4 z^2 +
 44 a^4 b^4 c^4 u^4 v^4 w y^4 z^2 -
 28 a^2 b^6 c^4 u^4 v^4 w y^4 z^2 - 14 a^6 c^6 u^4 v^4 w y^4 z^2 -
 28 a^4 b^2 c^6 u^4 v^4 w y^4 z^2 +
 42 a^2 b^4 c^6 u^4 v^4 w y^4 z^2 + 12 a^4 c^8 u^4 v^4 w y^4 z^2 -
 28 a^2 b^2 c^8 u^4 v^4 w y^4 z^2 + 7 a^2 c^10 u^4 v^4 w y^4 z^2 +
 a^10 c^2 u^3 v^5 w y^4 z^2 - 4 a^8 b^2 c^2 u^3 v^5 w y^4 z^2 +
 6 a^6 b^4 c^2 u^3 v^5 w y^4 z^2 - 4 a^4 b^6 c^2 u^3 v^5 w y^4 z^2 +
 a^2 b^8 c^2 u^3 v^5 w y^4 z^2 - 12 a^8 c^4 u^3 v^5 w y^4 z^2 +
 20 a^6 b^2 c^4 u^3 v^5 w y^4 z^2 - 4 a^4 b^4 c^4 u^3 v^5 w y^4 z^2 -
 4 a^2 b^6 c^4 u^3 v^5 w y^4 z^2 - 26 a^6 c^6 u^3 v^5 w y^4 z^2 +
 20 a^4 b^2 c^6 u^3 v^5 w y^4 z^2 + 6 a^2 b^4 c^6 u^3 v^5 w y^4 z^2 -
 12 a^4 c^8 u^3 v^5 w y^4 z^2 - 4 a^2 b^2 c^8 u^3 v^5 w y^4 z^2 +
 a^2 c^10 u^3 v^5 w y^4 z^2 - 3 a^10 c^2 u^6 v w^2 y^4 z^2 +
 4 a^8 b^2 c^2 u^6 v w^2 y^4 z^2 + 2 a^6 b^4 c^2 u^6 v w^2 y^4 z^2 -
 7 a^2 b^8 c^2 u^6 v w^2 y^4 z^2 + 4 b^10 c^2 u^6 v w^2 y^4 z^2 +
 11 a^8 c^4 u^6 v w^2 y^4 z^2 - 6 a^6 b^2 c^4 u^6 v w^2 y^4 z^2 -
 8 a^4 b^4 c^4 u^6 v w^2 y^4 z^2 + 14 a^2 b^6 c^4 u^6 v w^2 y^4 z^2 -
 11 b^8 c^4 u^6 v w^2 y^4 z^2 - 14 a^6 c^6 u^6 v w^2 y^4 z^2 +
 2 a^4 b^2 c^6 u^6 v w^2 y^4 z^2 - 6 a^2 b^4 c^6 u^6 v w^2 y^4 z^2 +
 10 b^6 c^6 u^6 v w^2 y^4 z^2 + 6 a^4 c^8 u^6 v w^2 y^4 z^2 -
 2 a^2 b^2 c^8 u^6 v w^2 y^4 z^2 - 4 b^4 c^8 u^6 v w^2 y^4 z^2 +
 a^2 c^10 u^6 v w^2 y^4 z^2 + 2 b^2 c^10 u^6 v w^2 y^4 z^2 -
 c^12 u^6 v w^2 y^4 z^2 + a^12 u^5 v^2 w^2 y^4 z^2 -
 4 a^10 b^2 u^5 v^2 w^2 y^4 z^2 + 5 a^8 b^4 u^5 v^2 w^2 y^4 z^2 -
 5 a^4 b^8 u^5 v^2 w^2 y^4 z^2 + 4 a^2 b^10 u^5 v^2 w^2 y^4 z^2 -
 b^12 u^5 v^2 w^2 y^4 z^2 - 2 a^10 c^2 u^5 v^2 w^2 y^4 z^2 -
 4 a^8 b^2 c^2 u^5 v^2 w^2 y^4 z^2 +
 16 a^6 b^4 c^2 u^5 v^2 w^2 y^4 z^2 -
 4 a^4 b^6 c^2 u^5 v^2 w^2 y^4 z^2 -
 14 a^2 b^8 c^2 u^5 v^2 w^2 y^4 z^2 +
 8 b^10 c^2 u^5 v^2 w^2 y^4 z^2 + 13 a^8 c^4 u^5 v^2 w^2 y^4 z^2 +
 6 a^6 b^2 c^4 u^5 v^2 w^2 y^4 z^2 -
 4 a^4 b^4 c^4 u^5 v^2 w^2 y^4 z^2 +
 10 a^2 b^6 c^4 u^5 v^2 w^2 y^4 z^2 -
 25 b^8 c^4 u^5 v^2 w^2 y^4 z^2 - 34 a^6 c^6 u^5 v^2 w^2 y^4 z^2 -
 16 a^4 b^2 c^6 u^5 v^2 w^2 y^4 z^2 +
 2 a^2 b^4 c^6 u^5 v^2 w^2 y^4 z^2 + 40 b^6 c^6 u^5 v^2 w^2 y^4 z^2 +
 29 a^4 c^8 u^5 v^2 w^2 y^4 z^2 + 2 a^2 b^2 c^8 u^5 v^2 w^2 y^4 z^2 -
 35 b^4 c^8 u^5 v^2 w^2 y^4 z^2 - 4 a^2 c^10 u^5 v^2 w^2 y^4 z^2 +
 16 b^2 c^10 u^5 v^2 w^2 y^4 z^2 - 3 c^12 u^5 v^2 w^2 y^4 z^2 +
 3 a^12 u^4 v^3 w^2 y^4 z^2 - 14 a^10 b^2 u^4 v^3 w^2 y^4 z^2 +
 25 a^8 b^4 u^4 v^3 w^2 y^4 z^2 - 20 a^6 b^6 u^4 v^3 w^2 y^4 z^2 +
 5 a^4 b^8 u^4 v^3 w^2 y^4 z^2 + 2 a^2 b^10 u^4 v^3 w^2 y^4 z^2 -
 b^12 u^4 v^3 w^2 y^4 z^2 + 13 a^10 c^2 u^4 v^3 w^2 y^4 z^2 -
 54 a^8 b^2 c^2 u^4 v^3 w^2 y^4 z^2 +
 78 a^6 b^4 c^2 u^4 v^3 w^2 y^4 z^2 -
 40 a^4 b^6 c^2 u^4 v^3 w^2 y^4 z^2 -
 3 a^2 b^8 c^2 u^4 v^3 w^2 y^4 z^2 + 6 b^10 c^2 u^4 v^3 w^2 y^4 z^2 +
 5 a^8 c^4 u^4 v^3 w^2 y^4 z^2 + 8 a^6 b^2 c^4 u^4 v^3 w^2 y^4 z^2 +
 18 a^4 b^4 c^4 u^4 v^3 w^2 y^4 z^2 -
 16 a^2 b^6 c^4 u^4 v^3 w^2 y^4 z^2 -
 15 b^8 c^4 u^4 v^3 w^2 y^4 z^2 - 50 a^6 c^6 u^4 v^3 w^2 y^4 z^2 +
 46 a^2 b^4 c^6 u^4 v^3 w^2 y^4 z^2 +
 20 b^6 c^6 u^4 v^3 w^2 y^4 z^2 + 17 a^4 c^8 u^4 v^3 w^2 y^4 z^2 -
 42 a^2 b^2 c^8 u^4 v^3 w^2 y^4 z^2 -
 15 b^4 c^8 u^4 v^3 w^2 y^4 z^2 + 13 a^2 c^10 u^4 v^3 w^2 y^4 z^2 +
 6 b^2 c^10 u^4 v^3 w^2 y^4 z^2 - c^12 u^4 v^3 w^2 y^4 z^2 +
 2 a^12 u^3 v^4 w^2 y^4 z^2 - 10 a^10 b^2 u^3 v^4 w^2 y^4 z^2 +
 20 a^8 b^4 u^3 v^4 w^2 y^4 z^2 - 20 a^6 b^6 u^3 v^4 w^2 y^4 z^2 +
 10 a^4 b^8 u^3 v^4 w^2 y^4 z^2 - 2 a^2 b^10 u^3 v^4 w^2 y^4 z^2 +
 10 a^10 c^2 u^3 v^4 w^2 y^4 z^2 -
 44 a^8 b^2 c^2 u^3 v^4 w^2 y^4 z^2 +
 72 a^6 b^4 c^2 u^3 v^4 w^2 y^4 z^2 -
 52 a^4 b^6 c^2 u^3 v^4 w^2 y^4 z^2 +
 14 a^2 b^8 c^2 u^3 v^4 w^2 y^4 z^2 + 4 a^8 c^4 u^3 v^4 w^2 y^4 z^2 -
 36 a^6 b^2 c^4 u^3 v^4 w^2 y^4 z^2 +
 68 a^4 b^4 c^4 u^3 v^4 w^2 y^4 z^2 -
 36 a^2 b^6 c^4 u^3 v^4 w^2 y^4 z^2 -
 16 a^6 c^6 u^3 v^4 w^2 y^4 z^2 -
 20 a^4 b^2 c^6 u^3 v^4 w^2 y^4 z^2 +
 44 a^2 b^4 c^6 u^3 v^4 w^2 y^4 z^2 - 6 a^4 c^8 u^3 v^4 w^2 y^4 z^2 -
 26 a^2 b^2 c^8 u^3 v^4 w^2 y^4 z^2 +
 6 a^2 c^10 u^3 v^4 w^2 y^4 z^2 - 4 a^10 c^2 u^2 v^5 w^2 y^4 z^2 +
 12 a^8 b^2 c^2 u^2 v^5 w^2 y^4 z^2 -
 12 a^6 b^4 c^2 u^2 v^5 w^2 y^4 z^2 +
 4 a^4 b^6 c^2 u^2 v^5 w^2 y^4 z^2 - 20 a^8 c^4 u^2 v^5 w^2 y^4 z^2 +
 32 a^6 b^2 c^4 u^2 v^5 w^2 y^4 z^2 -
 12 a^4 b^4 c^4 u^2 v^5 w^2 y^4 z^2 -
 20 a^6 c^6 u^2 v^5 w^2 y^4 z^2 +
 12 a^4 b^2 c^6 u^2 v^5 w^2 y^4 z^2 - 4 a^4 c^8 u^2 v^5 w^2 y^4 z^2 +
 2 a^6 b^4 c^2 u^6 w^3 y^4 z^2 - 2 a^4 b^6 c^2 u^6 w^3 y^4 z^2 -
 2 a^2 b^8 c^2 u^6 w^3 y^4 z^2 + 2 b^10 c^2 u^6 w^3 y^4 z^2 +
 2 a^4 b^4 c^4 u^6 w^3 y^4 z^2 + 4 a^2 b^6 c^4 u^6 w^3 y^4 z^2 -
 6 b^8 c^4 u^6 w^3 y^4 z^2 - 2 a^2 b^4 c^6 u^6 w^3 y^4 z^2 +
 6 b^6 c^6 u^6 w^3 y^4 z^2 - 2 b^4 c^8 u^6 w^3 y^4 z^2 -
 a^12 u^5 v w^3 y^4 z^2 + 2 a^10 b^2 u^5 v w^3 y^4 z^2 -
 5 a^4 b^8 u^5 v w^3 y^4 z^2 + 6 a^2 b^10 u^5 v w^3 y^4 z^2 -
 2 b^12 u^5 v w^3 y^4 z^2 - 5 a^10 c^2 u^5 v w^3 y^4 z^2 +
 2 a^8 b^2 c^2 u^5 v w^3 y^4 z^2 + 2 a^6 b^4 c^2 u^5 v w^3 y^4 z^2 +
 20 a^4 b^6 c^2 u^5 v w^3 y^4 z^2 -
 29 a^2 b^8 c^2 u^5 v w^3 y^4 z^2 + 10 b^10 c^2 u^5 v w^3 y^4 z^2 +
 28 a^8 c^4 u^5 v w^3 y^4 z^2 + 4 a^6 b^2 c^4 u^5 v w^3 y^4 z^2 -
 26 a^4 b^4 c^4 u^5 v w^3 y^4 z^2 +
 32 a^2 b^6 c^4 u^5 v w^3 y^4 z^2 - 22 b^8 c^4 u^5 v w^3 y^4 z^2 -
 42 a^6 c^6 u^5 v w^3 y^4 z^2 - 12 a^4 b^2 c^6 u^5 v w^3 y^4 z^2 -
 2 a^2 b^4 c^6 u^5 v w^3 y^4 z^2 + 28 b^6 c^6 u^5 v w^3 y^4 z^2 +
 23 a^4 c^8 u^5 v w^3 y^4 z^2 - 6 a^2 b^2 c^8 u^5 v w^3 y^4 z^2 -
 22 b^4 c^8 u^5 v w^3 y^4 z^2 - a^2 c^10 u^5 v w^3 y^4 z^2 +
 10 b^2 c^10 u^5 v w^3 y^4 z^2 - 2 c^12 u^5 v w^3 y^4 z^2 -
 a^12 u^4 v^2 w^3 y^4 z^2 + 2 a^10 b^2 u^4 v^2 w^3 y^4 z^2 -
 5 a^4 b^8 u^4 v^2 w^3 y^4 z^2 + 6 a^2 b^10 u^4 v^2 w^3 y^4 z^2 -
 2 b^12 u^4 v^2 w^3 y^4 z^2 - 9 a^10 c^2 u^4 v^2 w^3 y^4 z^2 -
 4 a^8 b^2 c^2 u^4 v^2 w^3 y^4 z^2 +
 30 a^6 b^4 c^2 u^4 v^2 w^3 y^4 z^2 -
 29 a^2 b^8 c^2 u^4 v^2 w^3 y^4 z^2 +
 12 b^10 c^2 u^4 v^2 w^3 y^4 z^2 + 40 a^8 c^4 u^4 v^2 w^3 y^4 z^2 -
 8 a^6 b^2 c^4 u^4 v^2 w^3 y^4 z^2 -
 6 a^4 b^4 c^4 u^4 v^2 w^3 y^4 z^2 +
 52 a^2 b^6 c^4 u^4 v^2 w^3 y^4 z^2 -
 30 b^8 c^4 u^4 v^2 w^3 y^4 z^2 - 54 a^6 c^6 u^4 v^2 w^3 y^4 z^2 -
 16 a^4 b^2 c^6 u^4 v^2 w^3 y^4 z^2 -
 42 a^2 b^4 c^6 u^4 v^2 w^3 y^4 z^2 +
 40 b^6 c^6 u^4 v^2 w^3 y^4 z^2 + 27 a^4 c^8 u^4 v^2 w^3 y^4 z^2 +
 14 a^2 b^2 c^8 u^4 v^2 w^3 y^4 z^2 - 30 b^4 c^8 u^4 v^2 w^3 y^4 z^2 -
  a^2 c^10 u^4 v^2 w^3 y^4 z^2 + 12 b^2 c^10 u^4 v^2 w^3 y^4 z^2 -
 2 c^12 u^4 v^2 w^3 y^4 z^2 + 3 a^12 u^3 v^3 w^3 y^4 z^2 -
 12 a^10 b^2 u^3 v^3 w^3 y^4 z^2 + 18 a^8 b^4 u^3 v^3 w^3 y^4 z^2 -
 12 a^6 b^6 u^3 v^3 w^3 y^4 z^2 + 3 a^4 b^8 u^3 v^3 w^3 y^4 z^2 +
 10 a^10 c^2 u^3 v^3 w^3 y^4 z^2 -
 28 a^8 b^2 c^2 u^3 v^3 w^3 y^4 z^2 +
 32 a^6 b^4 c^2 u^3 v^3 w^3 y^4 z^2 -
 20 a^4 b^6 c^2 u^3 v^3 w^3 y^4 z^2 +
 6 a^2 b^8 c^2 u^3 v^3 w^3 y^4 z^2 + 2 a^8 c^4 u^3 v^3 w^3 y^4 z^2 +
 20 a^6 b^2 c^4 u^3 v^3 w^3 y^4 z^2 +
 50 a^4 b^4 c^4 u^3 v^3 w^3 y^4 z^2 -
 24 a^2 b^6 c^4 u^3 v^3 w^3 y^4 z^2 -
 40 a^6 c^6 u^3 v^3 w^3 y^4 z^2 -
 52 a^4 b^2 c^6 u^3 v^3 w^3 y^4 z^2 +
 36 a^2 b^4 c^6 u^3 v^3 w^3 y^4 z^2 +
 19 a^4 c^8 u^3 v^3 w^3 y^4 z^2 -
 24 a^2 b^2 c^8 u^3 v^3 w^3 y^4 z^2 + 6 a^2 c^10 u^3 v^3 w^3 y^4 z^2 +
  a^12 u^2 v^4 w^3 y^4 z^2 - 4 a^10 b^2 u^2 v^4 w^3 y^4 z^2 +
 6 a^8 b^4 u^2 v^4 w^3 y^4 z^2 - 4 a^6 b^6 u^2 v^4 w^3 y^4 z^2 +
 a^4 b^8 u^2 v^4 w^3 y^4 z^2 + 18 a^10 c^2 u^2 v^4 w^3 y^4 z^2 -
 34 a^8 b^2 c^2 u^2 v^4 w^3 y^4 z^2 +
 14 a^6 b^4 c^2 u^2 v^4 w^3 y^4 z^2 +
 2 a^4 b^6 c^2 u^2 v^4 w^3 y^4 z^2 + 12 a^8 c^4 u^2 v^4 w^3 y^4 z^2 +
 16 a^6 b^2 c^4 u^2 v^4 w^3 y^4 z^2 -
 12 a^4 b^4 c^4 u^2 v^4 w^3 y^4 z^2 -
 26 a^6 c^6 u^2 v^4 w^3 y^4 z^2 +
 14 a^4 b^2 c^6 u^2 v^4 w^3 y^4 z^2 - 5 a^4 c^8 u^2 v^4 w^3 y^4 z^2 -
 2 a^12 u v^5 w^3 y^4 z^2 + 8 a^10 b^2 u v^5 w^3 y^4 z^2 -
 12 a^8 b^4 u v^5 w^3 y^4 z^2 + 8 a^6 b^6 u v^5 w^3 y^4 z^2 -
 2 a^4 b^8 u v^5 w^3 y^4 z^2 - 4 a^10 c^2 u v^5 w^3 y^4 z^2 +
 16 a^8 b^2 c^2 u v^5 w^3 y^4 z^2 -
 20 a^6 b^4 c^2 u v^5 w^3 y^4 z^2 + 8 a^4 b^6 c^2 u v^5 w^3 y^4 z^2 -
 4 a^8 c^4 u v^5 w^3 y^4 z^2 + 16 a^6 b^2 c^4 u v^5 w^3 y^4 z^2 -
 12 a^4 b^4 c^4 u v^5 w^3 y^4 z^2 - 4 a^6 c^6 u v^5 w^3 y^4 z^2 +
 8 a^4 b^2 c^6 u v^5 w^3 y^4 z^2 - 2 a^4 c^8 u v^5 w^3 y^4 z^2 +
 a^8 b^4 u^5 w^4 y^4 z^2 - 2 a^6 b^6 u^5 w^4 y^4 z^2 +
 2 a^2 b^10 u^5 w^4 y^4 z^2 - b^12 u^5 w^4 y^4 z^2 +
 10 a^6 b^4 c^2 u^5 w^4 y^4 z^2 - 14 a^2 b^8 c^2 u^5 w^4 y^4 z^2 +
 4 b^10 c^2 u^5 w^4 y^4 z^2 + 22 a^2 b^6 c^4 u^5 w^4 y^4 z^2 -
 6 b^8 c^4 u^5 w^4 y^4 z^2 - 10 a^2 b^4 c^6 u^5 w^4 y^4 z^2 +
 4 b^6 c^6 u^5 w^4 y^4 z^2 - b^4 c^8 u^5 w^4 y^4 z^2 -
 2 a^12 u^4 v w^4 y^4 z^2 + 2 a^10 b^2 u^4 v w^4 y^4 z^2 +
 a^8 b^4 u^4 v w^4 y^4 z^2 + 6 a^6 b^6 u^4 v w^4 y^4 z^2 -
 14 a^4 b^8 u^4 v w^4 y^4 z^2 + 8 a^2 b^10 u^4 v w^4 y^4 z^2 -
 b^12 u^4 v w^4 y^4 z^2 - a^10 c^2 u^4 v w^4 y^4 z^2 +
 2 a^8 b^2 c^2 u^4 v w^4 y^4 z^2 - 4 a^6 b^4 c^2 u^4 v w^4 y^4 z^2 +
 28 a^4 b^6 c^2 u^4 v w^4 y^4 z^2 -
 31 a^2 b^8 c^2 u^4 v w^4 y^4 z^2 + 6 b^10 c^2 u^4 v w^4 y^4 z^2 +
 23 a^8 c^4 u^4 v w^4 y^4 z^2 + 24 a^6 b^2 c^4 u^4 v w^4 y^4 z^2 +
 14 a^4 b^4 c^4 u^4 v w^4 y^4 z^2 +
 50 a^2 b^6 c^4 u^4 v w^4 y^4 z^2 - 15 b^8 c^4 u^4 v w^4 y^4 z^2 -
 42 a^6 c^6 u^4 v w^4 y^4 z^2 - 56 a^4 b^2 c^6 u^4 v w^4 y^4 z^2 -
 44 a^2 b^4 c^6 u^4 v w^4 y^4 z^2 + 20 b^6 c^6 u^4 v w^4 y^4 z^2 +
 28 a^4 c^8 u^4 v w^4 y^4 z^2 + 22 a^2 b^2 c^8 u^4 v w^4 y^4 z^2 -
 15 b^4 c^8 u^4 v w^4 y^4 z^2 - 5 a^2 c^10 u^4 v w^4 y^4 z^2 +
 6 b^2 c^10 u^4 v w^4 y^4 z^2 - c^12 u^4 v w^4 y^4 z^2 -
 4 a^12 u^3 v^2 w^4 y^4 z^2 + 6 a^10 b^2 u^3 v^2 w^4 y^4 z^2 +
 4 a^6 b^6 u^3 v^2 w^4 y^4 z^2 - 12 a^4 b^8 u^3 v^2 w^4 y^4 z^2 +
 6 a^2 b^10 u^3 v^2 w^4 y^4 z^2 - 6 a^10 c^2 u^3 v^2 w^4 y^4 z^2 -
 28 a^8 b^2 c^2 u^3 v^2 w^4 y^4 z^2 +
 16 a^6 b^4 c^2 u^3 v^2 w^4 y^4 z^2 +
 44 a^4 b^6 c^2 u^3 v^2 w^4 y^4 z^2 -
 26 a^2 b^8 c^2 u^3 v^2 w^4 y^4 z^2 +
 44 a^8 c^4 u^3 v^2 w^4 y^4 z^2 +
 36 a^6 b^2 c^4 u^3 v^2 w^4 y^4 z^2 -
 28 a^4 b^4 c^4 u^3 v^2 w^4 y^4 z^2 +
 44 a^2 b^6 c^4 u^3 v^2 w^4 y^4 z^2 -
 56 a^6 c^6 u^3 v^2 w^4 y^4 z^2 -
 28 a^4 b^2 c^6 u^3 v^2 w^4 y^4 z^2 -
 36 a^2 b^4 c^6 u^3 v^2 w^4 y^4 z^2 +
 24 a^4 c^8 u^3 v^2 w^4 y^4 z^2 +
 14 a^2 b^2 c^8 u^3 v^2 w^4 y^4 z^2 -
 2 a^2 c^10 u^3 v^2 w^4 y^4 z^2 + 2 a^12 u^2 v^3 w^4 y^4 z^2 -
 2 a^10 b^2 u^2 v^3 w^4 y^4 z^2 - 6 a^8 b^4 u^2 v^3 w^4 y^4 z^2 +
 10 a^6 b^6 u^2 v^3 w^4 y^4 z^2 - 4 a^4 b^8 u^2 v^3 w^4 y^4 z^2 -
 12 a^10 c^2 u^2 v^3 w^4 y^4 z^2 -
 14 a^8 b^2 c^2 u^2 v^3 w^4 y^4 z^2 +
 16 a^6 b^4 c^2 u^2 v^3 w^4 y^4 z^2 +
 10 a^4 b^6 c^2 u^2 v^3 w^4 y^4 z^2 +
 20 a^8 c^4 u^2 v^3 w^4 y^4 z^2 -
 14 a^6 b^2 c^4 u^2 v^3 w^4 y^4 z^2 -
 6 a^4 b^4 c^4 u^2 v^3 w^4 y^4 z^2 - 12 a^6 c^6 u^2 v^3 w^4 y^4 z^2 -
 2 a^4 b^2 c^6 u^2 v^3 w^4 y^4 z^2 + 2 a^4 c^8 u^2 v^3 w^4 y^4 z^2 +
 4 a^12 u v^4 w^4 y^4 z^2 - 6 a^10 b^2 u v^4 w^4 y^4 z^2 -
 6 a^8 b^4 u v^4 w^4 y^4 z^2 + 14 a^6 b^6 u v^4 w^4 y^4 z^2 -
 6 a^4 b^8 u v^4 w^4 y^4 z^2 + 2 a^10 c^2 u v^4 w^4 y^4 z^2 +
 4 a^8 b^2 c^2 u v^4 w^4 y^4 z^2 - 30 a^6 b^4 c^2 u v^4 w^4 y^4 z^2 +
 24 a^4 b^6 c^2 u v^4 w^4 y^4 z^2 + 2 a^8 c^4 u v^4 w^4 y^4 z^2 +
 18 a^6 b^2 c^4 u v^4 w^4 y^4 z^2 -
 36 a^4 b^4 c^4 u v^4 w^4 y^4 z^2 - 2 a^6 c^6 u v^4 w^4 y^4 z^2 +
 24 a^4 b^2 c^6 u v^4 w^4 y^4 z^2 - 6 a^4 c^8 u v^4 w^4 y^4 z^2 +
 4 a^8 b^4 u^4 w^5 y^4 z^2 - 4 a^6 b^6 u^4 w^5 y^4 z^2 -
 4 a^4 b^8 u^4 w^5 y^4 z^2 + 4 a^2 b^10 u^4 w^5 y^4 z^2 +
 12 a^6 b^4 c^2 u^4 w^5 y^4 z^2 + 16 a^4 b^6 c^2 u^4 w^5 y^4 z^2 -
 12 a^2 b^8 c^2 u^4 w^5 y^4 z^2 - 12 a^4 b^4 c^4 u^4 w^5 y^4 z^2 +
 12 a^2 b^6 c^4 u^4 w^5 y^4 z^2 - 4 a^2 b^4 c^6 u^4 w^5 y^4 z^2 -
 a^12 u^3 v w^5 y^4 z^2 + 2 a^8 b^4 u^3 v w^5 y^4 z^2 +
 4 a^6 b^6 u^3 v w^5 y^4 z^2 - 9 a^4 b^8 u^3 v w^5 y^4 z^2 +
 4 a^2 b^10 u^3 v w^5 y^4 z^2 + a^10 c^2 u^3 v w^5 y^4 z^2 +
 16 a^8 b^2 c^2 u^3 v w^5 y^4 z^2 +
 26 a^6 b^4 c^2 u^3 v w^5 y^4 z^2 +
 24 a^4 b^6 c^2 u^3 v w^5 y^4 z^2 -
 19 a^2 b^8 c^2 u^3 v w^5 y^4 z^2 + 6 a^8 c^4 u^3 v w^5 y^4 z^2 -
 16 a^6 b^2 c^4 u^3 v w^5 y^4 z^2 -
 10 a^4 b^4 c^4 u^3 v w^5 y^4 z^2 +
 36 a^2 b^6 c^4 u^3 v w^5 y^4 z^2 - 14 a^6 c^6 u^3 v w^5 y^4 z^2 -
 16 a^4 b^2 c^6 u^3 v w^5 y^4 z^2 -
 34 a^2 b^4 c^6 u^3 v w^5 y^4 z^2 + 11 a^4 c^8 u^3 v w^5 y^4 z^2 +
 16 a^2 b^2 c^8 u^3 v w^5 y^4 z^2 - 3 a^2 c^10 u^3 v w^5 y^4 z^2 -
 3 a^12 u^2 v^2 w^5 y^4 z^2 - 4 a^10 b^2 u^2 v^2 w^5 y^4 z^2 +
 6 a^8 b^4 u^2 v^2 w^5 y^4 z^2 + 12 a^6 b^6 u^2 v^2 w^5 y^4 z^2 -
 11 a^4 b^8 u^2 v^2 w^5 y^4 z^2 + 6 a^10 c^2 u^2 v^2 w^5 y^4 z^2 +
 10 a^8 b^2 c^2 u^2 v^2 w^5 y^4 z^2 +
 2 a^6 b^4 c^2 u^2 v^2 w^5 y^4 z^2 +
 30 a^4 b^6 c^2 u^2 v^2 w^5 y^4 z^2 -
 8 a^6 b^2 c^4 u^2 v^2 w^5 y^4 z^2 -
 24 a^4 b^4 c^4 u^2 v^2 w^5 y^4 z^2 - 6 a^6 c^6 u^2 v^2 w^5 y^4 z^2 +
 2 a^4 b^2 c^6 u^2 v^2 w^5 y^4 z^2 + 3 a^4 c^8 u^2 v^2 w^5 y^4 z^2 -
 2 a^12 u v^3 w^5 y^4 z^2 - 4 a^10 b^2 u v^3 w^5 y^4 z^2 +
 8 a^8 b^4 u v^3 w^5 y^4 z^2 + 4 a^6 b^6 u v^3 w^5 y^4 z^2 -
 6 a^4 b^8 u v^3 w^5 y^4 z^2 - 8 a^8 b^2 c^2 u v^3 w^5 y^4 z^2 +
 24 a^4 b^6 c^2 u v^3 w^5 y^4 z^2 -
 12 a^6 b^2 c^4 u v^3 w^5 y^4 z^2 -
 36 a^4 b^4 c^4 u v^3 w^5 y^4 z^2 + 8 a^6 c^6 u v^3 w^5 y^4 z^2 +
 24 a^4 b^2 c^6 u v^3 w^5 y^4 z^2 - 6 a^4 c^8 u v^3 w^5 y^4 z^2 +
 4 a^8 b^4 u^3 w^6 y^4 z^2 - 4 a^4 b^8 u^3 w^6 y^4 z^2 +
 8 a^4 b^6 c^2 u^3 w^6 y^4 z^2 - 4 a^4 b^4 c^4 u^3 w^6 y^4 z^2 +
 2 a^10 b^2 u^2 v w^6 y^4 z^2 + 6 a^8 b^4 u^2 v w^6 y^4 z^2 -
 2 a^6 b^6 u^2 v w^6 y^4 z^2 - 6 a^4 b^8 u^2 v w^6 y^4 z^2 +
 2 a^8 b^2 c^2 u^2 v w^6 y^4 z^2 + 12 a^6 b^4 c^2 u^2 v w^6 y^4 z^2 +
 18 a^4 b^6 c^2 u^2 v w^6 y^4 z^2 -
 10 a^6 b^2 c^4 u^2 v w^6 y^4 z^2 -
 18 a^4 b^4 c^4 u^2 v w^6 y^4 z^2 + 6 a^4 b^2 c^6 u^2 v w^6 y^4 z^2 +
 2 a^10 b^2 u v^2 w^6 y^4 z^2 + 2 a^8 b^4 u v^2 w^6 y^4 z^2 -
 2 a^6 b^6 u v^2 w^6 y^4 z^2 - 2 a^4 b^8 u v^2 w^6 y^4 z^2 +
 2 a^10 c^2 u v^2 w^6 y^4 z^2 + 4 a^8 b^2 c^2 u v^2 w^6 y^4 z^2 +
 10 a^6 b^4 c^2 u v^2 w^6 y^4 z^2 + 8 a^4 b^6 c^2 u v^2 w^6 y^4 z^2 -
 6 a^8 c^4 u v^2 w^6 y^4 z^2 - 14 a^6 b^2 c^4 u v^2 w^6 y^4 z^2 -
 12 a^4 b^4 c^4 u v^2 w^6 y^4 z^2 + 6 a^6 c^6 u v^2 w^6 y^4 z^2 +
 8 a^4 b^2 c^6 u v^2 w^6 y^4 z^2 - 2 a^4 c^8 u v^2 w^6 y^4 z^2 -
 4 a^4 b^4 c^4 u^6 v^3 x^3 z^3 + 8 a^2 b^6 c^4 u^6 v^3 x^3 z^3 -
 4 b^8 c^4 u^6 v^3 x^3 z^3 + 8 a^2 b^4 c^6 u^6 v^3 x^3 z^3 -
 8 b^6 c^6 u^6 v^3 x^3 z^3 - 4 b^4 c^8 u^6 v^3 x^3 z^3 -
 6 a^6 b^2 c^4 u^5 v^4 x^3 z^3 + 2 a^4 b^4 c^4 u^5 v^4 x^3 z^3 +
 14 a^2 b^6 c^4 u^5 v^4 x^3 z^3 - 10 b^8 c^4 u^5 v^4 x^3 z^3 +
 18 a^4 b^2 c^6 u^5 v^4 x^3 z^3 - 12 a^2 b^4 c^6 u^5 v^4 x^3 z^3 -
 6 b^6 c^6 u^5 v^4 x^3 z^3 - 18 a^2 b^2 c^8 u^5 v^4 x^3 z^3 +
 10 b^4 c^8 u^5 v^4 x^3 z^3 + 6 b^2 c^10 u^5 v^4 x^3 z^3 -
 2 a^8 c^4 u^4 v^5 x^3 z^3 - 8 a^6 b^2 c^4 u^4 v^5 x^3 z^3 +
 16 a^4 b^4 c^4 u^4 v^5 x^3 z^3 - 6 b^8 c^4 u^4 v^5 x^3 z^3 +
 8 a^6 c^6 u^4 v^5 x^3 z^3 + 12 a^4 b^2 c^6 u^4 v^5 x^3 z^3 -
 24 a^2 b^4 c^6 u^4 v^5 x^3 z^3 + 4 b^6 c^6 u^4 v^5 x^3 z^3 -
 12 a^4 c^8 u^4 v^5 x^3 z^3 + 8 b^4 c^8 u^4 v^5 x^3 z^3 +
 8 a^2 c^10 u^4 v^5 x^3 z^3 - 4 b^2 c^10 u^4 v^5 x^3 z^3 -
 2 c^12 u^4 v^5 x^3 z^3 - 3 a^8 c^4 u^3 v^6 x^3 z^3 +
 2 a^6 b^2 c^4 u^3 v^6 x^3 z^3 + 4 a^4 b^4 c^4 u^3 v^6 x^3 z^3 -
 2 a^2 b^6 c^4 u^3 v^6 x^3 z^3 - b^8 c^4 u^3 v^6 x^3 z^3 +
 8 a^6 c^6 u^3 v^6 x^3 z^3 - 6 a^4 b^2 c^6 u^3 v^6 x^3 z^3 -
 4 a^2 b^4 c^6 u^3 v^6 x^3 z^3 + 2 b^6 c^6 u^3 v^6 x^3 z^3 -
 6 a^4 c^8 u^3 v^6 x^3 z^3 + 6 a^2 b^2 c^8 u^3 v^6 x^3 z^3 -
 2 b^2 c^10 u^3 v^6 x^3 z^3 + c^12 u^3 v^6 x^3 z^3 +
 6 a^6 b^4 c^2 u^6 v^2 w x^3 z^3 - 18 a^4 b^6 c^2 u^6 v^2 w x^3 z^3 +
 18 a^2 b^8 c^2 u^6 v^2 w x^3 z^3 - 6 b^10 c^2 u^6 v^2 w x^3 z^3 -
 18 a^4 b^4 c^4 u^6 v^2 w x^3 z^3 +
 28 a^2 b^6 c^4 u^6 v^2 w x^3 z^3 - 10 b^8 c^4 u^6 v^2 w x^3 z^3 +
 18 a^2 b^4 c^6 u^6 v^2 w x^3 z^3 - 10 b^6 c^6 u^6 v^2 w x^3 z^3 -
 6 b^4 c^8 u^6 v^2 w x^3 z^3 - 3 a^10 b^2 u^5 v^3 w x^3 z^3 +
 15 a^8 b^4 u^5 v^3 w x^3 z^3 - 30 a^6 b^6 u^5 v^3 w x^3 z^3 +
 30 a^4 b^8 u^5 v^3 w x^3 z^3 - 15 a^2 b^10 u^5 v^3 w x^3 z^3 +
 3 b^12 u^5 v^3 w x^3 z^3 + 15 a^8 b^2 c^2 u^5 v^3 w x^3 z^3 -
 32 a^6 b^4 c^2 u^5 v^3 w x^3 z^3 + 6 a^4 b^6 c^2 u^5 v^3 w x^3 z^3 +
 24 a^2 b^8 c^2 u^5 v^3 w x^3 z^3 - 13 b^10 c^2 u^5 v^3 w x^3 z^3 -
 30 a^6 b^2 c^4 u^5 v^3 w x^3 z^3 +
 30 a^4 b^4 c^4 u^5 v^3 w x^3 z^3 +
 14 a^2 b^6 c^4 u^5 v^3 w x^3 z^3 - 14 b^8 c^4 u^5 v^3 w x^3 z^3 +
 30 a^4 b^2 c^6 u^5 v^3 w x^3 z^3 -
 24 a^2 b^4 c^6 u^5 v^3 w x^3 z^3 + 10 b^6 c^6 u^5 v^3 w x^3 z^3 -
 15 a^2 b^2 c^8 u^5 v^3 w x^3 z^3 + 11 b^4 c^8 u^5 v^3 w x^3 z^3 +
 3 b^2 c^10 u^5 v^3 w x^3 z^3 - a^12 u^4 v^4 w x^3 z^3 -
 3 a^10 b^2 u^4 v^4 w x^3 z^3 + 30 a^8 b^4 u^4 v^4 w x^3 z^3 -
 70 a^6 b^6 u^4 v^4 w x^3 z^3 + 75 a^4 b^8 u^4 v^4 w x^3 z^3 -
 39 a^2 b^10 u^4 v^4 w x^3 z^3 + 8 b^12 u^4 v^4 w x^3 z^3 +
 6 a^10 c^2 u^4 v^4 w x^3 z^3 + 5 a^8 b^2 c^2 u^4 v^4 w x^3 z^3 -
 40 a^6 b^4 c^2 u^4 v^4 w x^3 z^3 +
 30 a^4 b^6 c^2 u^4 v^4 w x^3 z^3 +
 10 a^2 b^8 c^2 u^4 v^4 w x^3 z^3 - 11 b^10 c^2 u^4 v^4 w x^3 z^3 -
 15 a^8 c^4 u^4 v^4 w x^3 z^3 + 4 a^6 b^2 c^4 u^4 v^4 w x^3 z^3 +
 18 a^4 b^4 c^4 u^4 v^4 w x^3 z^3 - 4 a^2 b^6 c^4 u^4 v^4 w x^3 z^3 -
 3 b^8 c^4 u^4 v^4 w x^3 z^3 + 20 a^6 c^6 u^4 v^4 w x^3 z^3 -
 12 a^4 b^2 c^6 u^4 v^4 w x^3 z^3 -
 12 a^2 b^4 c^6 u^4 v^4 w x^3 z^3 + 4 b^6 c^6 u^4 v^4 w x^3 z^3 -
 15 a^4 c^8 u^4 v^4 w x^3 z^3 + 7 a^2 b^2 c^8 u^4 v^4 w x^3 z^3 +
 4 b^4 c^8 u^4 v^4 w x^3 z^3 + 6 a^2 c^10 u^4 v^4 w x^3 z^3 -
 b^2 c^10 u^4 v^4 w x^3 z^3 - c^12 u^4 v^4 w x^3 z^3 -
 2 a^12 u^3 v^5 w x^3 z^3 + 3 a^10 b^2 u^3 v^5 w x^3 z^3 +
 15 a^8 b^4 u^3 v^5 w x^3 z^3 - 50 a^6 b^6 u^3 v^5 w x^3 z^3 +
 60 a^4 b^8 u^3 v^5 w x^3 z^3 - 33 a^2 b^10 u^3 v^5 w x^3 z^3 +
 7 b^12 u^3 v^5 w x^3 z^3 + 8 a^10 c^2 u^3 v^5 w x^3 z^3 -
 23 a^8 b^2 c^2 u^3 v^5 w x^3 z^3 +
 32 a^6 b^4 c^2 u^3 v^5 w x^3 z^3 -
 38 a^4 b^6 c^2 u^3 v^5 w x^3 z^3 +
 32 a^2 b^8 c^2 u^3 v^5 w x^3 z^3 - 11 b^10 c^2 u^3 v^5 w x^3 z^3 -
 14 a^8 c^4 u^3 v^5 w x^3 z^3 + 30 a^6 b^2 c^4 u^3 v^5 w x^3 z^3 -
 34 a^4 b^4 c^4 u^3 v^5 w x^3 z^3 +
 18 a^2 b^6 c^4 u^3 v^5 w x^3 z^3 + 16 a^6 c^6 u^3 v^5 w x^3 z^3 -
 6 a^4 b^2 c^6 u^3 v^5 w x^3 z^3 - 24 a^2 b^4 c^6 u^3 v^5 w x^3 z^3 -
 2 b^6 c^6 u^3 v^5 w x^3 z^3 - 14 a^4 c^8 u^3 v^5 w x^3 z^3 -
 a^2 b^2 c^8 u^3 v^5 w x^3 z^3 + 11 b^4 c^8 u^3 v^5 w x^3 z^3 +
 8 a^2 c^10 u^3 v^5 w x^3 z^3 - 3 b^2 c^10 u^3 v^5 w x^3 z^3 -
 2 c^12 u^3 v^5 w x^3 z^3 - a^12 u^2 v^6 w x^3 z^3 +
 3 a^10 b^2 u^2 v^6 w x^3 z^3 - 10 a^6 b^6 u^2 v^6 w x^3 z^3 +
 15 a^4 b^8 u^2 v^6 w x^3 z^3 - 9 a^2 b^10 u^2 v^6 w x^3 z^3 +
 2 b^12 u^2 v^6 w x^3 z^3 - 3 a^8 b^2 c^2 u^2 v^6 w x^3 z^3 +
 14 a^6 b^4 c^2 u^2 v^6 w x^3 z^3 -
 24 a^4 b^6 c^2 u^2 v^6 w x^3 z^3 +
 18 a^2 b^8 c^2 u^2 v^6 w x^3 z^3 - 5 b^10 c^2 u^2 v^6 w x^3 z^3 -
 4 a^6 b^2 c^4 u^2 v^6 w x^3 z^3 + 2 a^4 b^4 c^4 u^2 v^6 w x^3 z^3 +
 2 b^8 c^4 u^2 v^6 w x^3 z^3 + 8 a^6 c^6 u^2 v^6 w x^3 z^3 -
 18 a^2 b^4 c^6 u^2 v^6 w x^3 z^3 + 2 b^6 c^6 u^2 v^6 w x^3 z^3 -
 9 a^4 c^8 u^2 v^6 w x^3 z^3 + 9 a^2 b^2 c^8 u^2 v^6 w x^3 z^3 +
 2 b^4 c^8 u^2 v^6 w x^3 z^3 - 5 b^2 c^10 u^2 v^6 w x^3 z^3 +
 2 c^12 u^2 v^6 w x^3 z^3 - 2 a^8 b^4 u^6 v w^2 x^3 z^3 +
 8 a^6 b^6 u^6 v w^2 x^3 z^3 - 12 a^4 b^8 u^6 v w^2 x^3 z^3 +
 8 a^2 b^10 u^6 v w^2 x^3 z^3 - 2 b^12 u^6 v w^2 x^3 z^3 +
 8 a^6 b^4 c^2 u^6 v w^2 x^3 z^3 - 20 a^4 b^6 c^2 u^6 v w^2 x^3 z^3 +
 16 a^2 b^8 c^2 u^6 v w^2 x^3 z^3 - 4 b^10 c^2 u^6 v w^2 x^3 z^3 -
 12 a^4 b^4 c^4 u^6 v w^2 x^3 z^3 +
 16 a^2 b^6 c^4 u^6 v w^2 x^3 z^3 - 4 b^8 c^4 u^6 v w^2 x^3 z^3 +
 8 a^2 b^4 c^6 u^6 v w^2 x^3 z^3 - 4 b^6 c^6 u^6 v w^2 x^3 z^3 -
 2 b^4 c^8 u^6 v w^2 x^3 z^3 + 3 a^8 b^4 u^5 v^2 w^2 x^3 z^3 -
 12 a^6 b^6 u^5 v^2 w^2 x^3 z^3 + 18 a^4 b^8 u^5 v^2 w^2 x^3 z^3 -
 12 a^2 b^10 u^5 v^2 w^2 x^3 z^3 + 3 b^12 u^5 v^2 w^2 x^3 z^3 -
 2 a^6 b^4 c^2 u^5 v^2 w^2 x^3 z^3 -
 2 a^4 b^6 c^2 u^5 v^2 w^2 x^3 z^3 +
 10 a^2 b^8 c^2 u^5 v^2 w^2 x^3 z^3 -
 6 b^10 c^2 u^5 v^2 w^2 x^3 z^3 -
 12 a^4 b^4 c^4 u^5 v^2 w^2 x^3 z^3 - 4 b^8 c^4 u^5 v^2 w^2 x^3 z^3 +
 18 a^2 b^4 c^6 u^5 v^2 w^2 x^3 z^3 +
 14 b^6 c^6 u^5 v^2 w^2 x^3 z^3 - 7 b^4 c^8 u^5 v^2 w^2 x^3 z^3 +
 18 a^8 b^4 u^4 v^3 w^2 x^3 z^3 - 72 a^6 b^6 u^4 v^3 w^2 x^3 z^3 +
 108 a^4 b^8 u^4 v^3 w^2 x^3 z^3 - 72 a^2 b^10 u^4 v^3 w^2 x^3 z^3 +
 18 b^12 u^4 v^3 w^2 x^3 z^3 - 8 a^6 b^4 c^2 u^4 v^3 w^2 x^3 z^3 +
 16 a^4 b^6 c^2 u^4 v^3 w^2 x^3 z^3 -
 8 a^2 b^8 c^2 u^4 v^3 w^2 x^3 z^3 -
 24 a^4 b^4 c^4 u^4 v^3 w^2 x^3 z^3 +
 48 a^2 b^6 c^4 u^4 v^3 w^2 x^3 z^3 -
 40 b^8 c^4 u^4 v^3 w^2 x^3 z^3 + 8 b^6 c^6 u^4 v^3 w^2 x^3 z^3 +
 14 b^4 c^8 u^4 v^3 w^2 x^3 z^3 - a^12 u^3 v^4 w^2 x^3 z^3 +
 3 a^10 b^2 u^3 v^4 w^2 x^3 z^3 + 12 a^8 b^4 u^3 v^4 w^2 x^3 z^3 -
 58 a^6 b^6 u^3 v^4 w^2 x^3 z^3 + 87 a^4 b^8 u^3 v^4 w^2 x^3 z^3 -
 57 a^2 b^10 u^3 v^4 w^2 x^3 z^3 + 14 b^12 u^3 v^4 w^2 x^3 z^3 +
 6 a^10 c^2 u^3 v^4 w^2 x^3 z^3 -
 13 a^8 b^2 c^2 u^3 v^4 w^2 x^3 z^3 +
 36 a^6 b^4 c^2 u^3 v^4 w^2 x^3 z^3 -
 66 a^4 b^6 c^2 u^3 v^4 w^2 x^3 z^3 +
 46 a^2 b^8 c^2 u^3 v^4 w^2 x^3 z^3 -
 9 b^10 c^2 u^3 v^4 w^2 x^3 z^3 - 15 a^8 c^4 u^3 v^4 w^2 x^3 z^3 +
 34 a^6 b^2 c^4 u^3 v^4 w^2 x^3 z^3 +
 16 a^4 b^4 c^4 u^3 v^4 w^2 x^3 z^3 +
 38 a^2 b^6 c^4 u^3 v^4 w^2 x^3 z^3 -
 41 b^8 c^4 u^3 v^4 w^2 x^3 z^3 + 20 a^6 c^6 u^3 v^4 w^2 x^3 z^3 -
 54 a^4 b^2 c^6 u^3 v^4 w^2 x^3 z^3 -
 76 a^2 b^4 c^6 u^3 v^4 w^2 x^3 z^3 +
 38 b^6 c^6 u^3 v^4 w^2 x^3 z^3 - 15 a^4 c^8 u^3 v^4 w^2 x^3 z^3 +
 43 a^2 b^2 c^8 u^3 v^4 w^2 x^3 z^3 +
 12 b^4 c^8 u^3 v^4 w^2 x^3 z^3 + 6 a^2 c^10 u^3 v^4 w^2 x^3 z^3 -
 13 b^2 c^10 u^3 v^4 w^2 x^3 z^3 - c^12 u^3 v^4 w^2 x^3 z^3 -
 2 a^12 u^2 v^5 w^2 x^3 z^3 + 2 a^10 b^2 u^2 v^5 w^2 x^3 z^3 +
 12 a^8 b^4 u^2 v^5 w^2 x^3 z^3 - 28 a^6 b^6 u^2 v^5 w^2 x^3 z^3 +
 22 a^4 b^8 u^2 v^5 w^2 x^3 z^3 - 6 a^2 b^10 u^2 v^5 w^2 x^3 z^3 +
 8 a^10 c^2 u^2 v^5 w^2 x^3 z^3 -
 22 a^8 b^2 c^2 u^2 v^5 w^2 x^3 z^3 +
 32 a^6 b^4 c^2 u^2 v^5 w^2 x^3 z^3 -
 24 a^4 b^6 c^2 u^2 v^5 w^2 x^3 z^3 +
 6 b^10 c^2 u^2 v^5 w^2 x^3 z^3 - 10 a^8 c^4 u^2 v^5 w^2 x^3 z^3 +
 56 a^6 b^2 c^4 u^2 v^5 w^2 x^3 z^3 +
 24 a^2 b^6 c^4 u^2 v^5 w^2 x^3 z^3 -
 22 b^8 c^4 u^2 v^5 w^2 x^3 z^3 -
 56 a^4 b^2 c^6 u^2 v^5 w^2 x^3 z^3 -
 32 a^2 b^4 c^6 u^2 v^5 w^2 x^3 z^3 +
 28 b^6 c^6 u^2 v^5 w^2 x^3 z^3 + 10 a^4 c^8 u^2 v^5 w^2 x^3 z^3 +
 22 a^2 b^2 c^8 u^2 v^5 w^2 x^3 z^3 -
 12 b^4 c^8 u^2 v^5 w^2 x^3 z^3 - 8 a^2 c^10 u^2 v^5 w^2 x^3 z^3 -
 2 b^2 c^10 u^2 v^5 w^2 x^3 z^3 + 2 c^12 u^2 v^5 w^2 x^3 z^3 -
 2 a^12 u v^6 w^2 x^3 z^3 + 5 a^10 b^2 u v^6 w^2 x^3 z^3 -
 2 a^8 b^4 u v^6 w^2 x^3 z^3 - 2 a^6 b^6 u v^6 w^2 x^3 z^3 -
 2 a^4 b^8 u v^6 w^2 x^3 z^3 + 5 a^2 b^10 u v^6 w^2 x^3 z^3 -
 2 b^12 u v^6 w^2 x^3 z^3 - 9 a^8 b^2 c^2 u v^6 w^2 x^3 z^3 +
 18 a^6 b^4 c^2 u v^6 w^2 x^3 z^3 -
 18 a^2 b^8 c^2 u v^6 w^2 x^3 z^3 + 9 b^10 c^2 u v^6 w^2 x^3 z^3 +
 9 a^8 c^4 u v^6 w^2 x^3 z^3 - 2 a^4 b^4 c^4 u v^6 w^2 x^3 z^3 +
 24 a^2 b^6 c^4 u v^6 w^2 x^3 z^3 - 15 b^8 c^4 u v^6 w^2 x^3 z^3 -
 8 a^6 c^6 u v^6 w^2 x^3 z^3 + 4 a^4 b^2 c^6 u v^6 w^2 x^3 z^3 -
 14 a^2 b^4 c^6 u v^6 w^2 x^3 z^3 + 10 b^6 c^6 u v^6 w^2 x^3 z^3 +
 3 a^2 b^2 c^8 u v^6 w^2 x^3 z^3 - 3 b^2 c^10 u v^6 w^2 x^3 z^3 +
 c^12 u v^6 w^2 x^3 z^3 - 4 a^8 b^4 u^5 v w^3 x^3 z^3 +
 8 a^6 b^6 u^5 v w^3 x^3 z^3 - 8 a^2 b^10 u^5 v w^3 x^3 z^3 +
 4 b^12 u^5 v w^3 x^3 z^3 + 16 a^6 b^4 c^2 u^5 v w^3 x^3 z^3 -
 16 a^4 b^6 c^2 u^5 v w^3 x^3 z^3 -
 24 a^4 b^4 c^4 u^5 v w^3 x^3 z^3 + 8 a^2 b^6 c^4 u^5 v w^3 x^3 z^3 +
 16 a^2 b^4 c^6 u^5 v w^3 x^3 z^3 - 4 b^4 c^8 u^5 v w^3 x^3 z^3 +
 a^8 b^4 u^4 v^2 w^3 x^3 z^3 - 18 a^6 b^6 u^4 v^2 w^3 x^3 z^3 +
 48 a^4 b^8 u^4 v^2 w^3 x^3 z^3 - 46 a^2 b^10 u^4 v^2 w^3 x^3 z^3 +
 15 b^12 u^4 v^2 w^3 x^3 z^3 - 4 a^6 b^4 c^2 u^4 v^2 w^3 x^3 z^3 -
 14 a^4 b^6 c^2 u^4 v^2 w^3 x^3 z^3 +
 16 a^2 b^8 c^2 u^4 v^2 w^3 x^3 z^3 +
 2 b^10 c^2 u^4 v^2 w^3 x^3 z^3 + 6 a^4 b^4 c^4 u^4 v^2 w^3 x^3 z^3 +
 2 a^2 b^6 c^4 u^4 v^2 w^3 x^3 z^3 - 48 b^8 c^4 u^4 v^2 w^3 x^3 z^3 -
 4 a^2 b^4 c^6 u^4 v^2 w^3 x^3 z^3 + 30 b^6 c^6 u^4 v^2 w^3 x^3 z^3 +
 b^4 c^8 u^4 v^2 w^3 x^3 z^3 + 6 a^10 b^2 u^3 v^3 w^3 x^3 z^3 +
 4 a^8 b^4 u^3 v^3 w^3 x^3 z^3 - 48 a^6 b^6 u^3 v^3 w^3 x^3 z^3 +
 60 a^4 b^8 u^3 v^3 w^3 x^3 z^3 - 22 a^2 b^10 u^3 v^3 w^3 x^3 z^3 -
 30 a^8 b^2 c^2 u^3 v^3 w^3 x^3 z^3 -
 8 a^6 b^4 c^2 u^3 v^3 w^3 x^3 z^3 +
 16 a^4 b^6 c^2 u^3 v^3 w^3 x^3 z^3 +
 22 b^10 c^2 u^3 v^3 w^3 x^3 z^3 +
 60 a^6 b^2 c^4 u^3 v^3 w^3 x^3 z^3 -
 16 a^2 b^6 c^4 u^3 v^3 w^3 x^3 z^3 -
 60 b^8 c^4 u^3 v^3 w^3 x^3 z^3 -
 60 a^4 b^2 c^6 u^3 v^3 w^3 x^3 z^3 +
 8 a^2 b^4 c^6 u^3 v^3 w^3 x^3 z^3 + 48 b^6 c^6 u^3 v^3 w^3 x^3 z^3 +
 30 a^2 b^2 c^8 u^3 v^3 w^3 x^3 z^3 - 4 b^4 c^8 u^3 v^3 w^3 x^3 z^3 -
 6 b^2 c^10 u^3 v^3 w^3 x^3 z^3 + a^12 u^2 v^4 w^3 x^3 z^3 +
 13 a^10 b^2 u^2 v^4 w^3 x^3 z^3 - 12 a^8 b^4 u^2 v^4 w^3 x^3 z^3 -
 38 a^6 b^6 u^2 v^4 w^3 x^3 z^3 + 41 a^4 b^8 u^2 v^4 w^3 x^3 z^3 +
 9 a^2 b^10 u^2 v^4 w^3 x^3 z^3 - 14 b^12 u^2 v^4 w^3 x^3 z^3 -
 6 a^10 c^2 u^2 v^4 w^3 x^3 z^3 -
 43 a^8 b^2 c^2 u^2 v^4 w^3 x^3 z^3 +
 76 a^6 b^4 c^2 u^2 v^4 w^3 x^3 z^3 -
 38 a^4 b^6 c^2 u^2 v^4 w^3 x^3 z^3 -
 46 a^2 b^8 c^2 u^2 v^4 w^3 x^3 z^3 +
 57 b^10 c^2 u^2 v^4 w^3 x^3 z^3 + 15 a^8 c^4 u^2 v^4 w^3 x^3 z^3 +
 54 a^6 b^2 c^4 u^2 v^4 w^3 x^3 z^3 -
 16 a^4 b^4 c^4 u^2 v^4 w^3 x^3 z^3 +
 66 a^2 b^6 c^4 u^2 v^4 w^3 x^3 z^3 -
 87 b^8 c^4 u^2 v^4 w^3 x^3 z^3 - 20 a^6 c^6 u^2 v^4 w^3 x^3 z^3 -
 34 a^4 b^2 c^6 u^2 v^4 w^3 x^3 z^3 -
 36 a^2 b^4 c^6 u^2 v^4 w^3 x^3 z^3 +
 58 b^6 c^6 u^2 v^4 w^3 x^3 z^3 + 15 a^4 c^8 u^2 v^4 w^3 x^3 z^3 +
 13 a^2 b^2 c^8 u^2 v^4 w^3 x^3 z^3 -
 12 b^4 c^8 u^2 v^4 w^3 x^3 z^3 - 6 a^2 c^10 u^2 v^4 w^3 x^3 z^3 -
 3 b^2 c^10 u^2 v^4 w^3 x^3 z^3 + c^12 u^2 v^4 w^3 x^3 z^3 +
 2 a^12 u v^5 w^3 x^3 z^3 + 3 a^10 b^2 u v^5 w^3 x^3 z^3 -
 11 a^8 b^4 u v^5 w^3 x^3 z^3 + 2 a^6 b^6 u v^5 w^3 x^3 z^3 +
 11 a^2 b^10 u v^5 w^3 x^3 z^3 - 7 b^12 u v^5 w^3 x^3 z^3 -
 8 a^10 c^2 u v^5 w^3 x^3 z^3 + a^8 b^2 c^2 u v^5 w^3 x^3 z^3 +
 24 a^6 b^4 c^2 u v^5 w^3 x^3 z^3 -
 18 a^4 b^6 c^2 u v^5 w^3 x^3 z^3 -
 32 a^2 b^8 c^2 u v^5 w^3 x^3 z^3 + 33 b^10 c^2 u v^5 w^3 x^3 z^3 +
 14 a^8 c^4 u v^5 w^3 x^3 z^3 + 6 a^6 b^2 c^4 u v^5 w^3 x^3 z^3 +
 34 a^4 b^4 c^4 u v^5 w^3 x^3 z^3 +
 38 a^2 b^6 c^4 u v^5 w^3 x^3 z^3 - 60 b^8 c^4 u v^5 w^3 x^3 z^3 -
 16 a^6 c^6 u v^5 w^3 x^3 z^3 - 30 a^4 b^2 c^6 u v^5 w^3 x^3 z^3 -
 32 a^2 b^4 c^6 u v^5 w^3 x^3 z^3 + 50 b^6 c^6 u v^5 w^3 x^3 z^3 +
 14 a^4 c^8 u v^5 w^3 x^3 z^3 + 23 a^2 b^2 c^8 u v^5 w^3 x^3 z^3 -
 15 b^4 c^8 u v^5 w^3 x^3 z^3 - 8 a^2 c^10 u v^5 w^3 x^3 z^3 -
 3 b^2 c^10 u v^5 w^3 x^3 z^3 + 2 c^12 u v^5 w^3 x^3 z^3 -
 a^12 v^6 w^3 x^3 z^3 + 2 a^10 b^2 v^6 w^3 x^3 z^3 -
 2 a^6 b^6 v^6 w^3 x^3 z^3 + a^4 b^8 v^6 w^3 x^3 z^3 -
 6 a^8 b^2 c^2 v^6 w^3 x^3 z^3 + 4 a^6 b^4 c^2 v^6 w^3 x^3 z^3 +
 2 a^4 b^6 c^2 v^6 w^3 x^3 z^3 + 6 a^8 c^4 v^6 w^3 x^3 z^3 +
 6 a^6 b^2 c^4 v^6 w^3 x^3 z^3 - 4 a^4 b^4 c^4 v^6 w^3 x^3 z^3 -
 8 a^6 c^6 v^6 w^3 x^3 z^3 - 2 a^4 b^2 c^6 v^6 w^3 x^3 z^3 +
 3 a^4 c^8 v^6 w^3 x^3 z^3 - 4 a^6 b^6 u^4 v w^4 x^3 z^3 +
 8 a^4 b^8 u^4 v w^4 x^3 z^3 - 4 a^2 b^10 u^4 v w^4 x^3 z^3 +
 12 a^4 b^6 c^2 u^4 v w^4 x^3 z^3 + 4 b^10 c^2 u^4 v w^4 x^3 z^3 -
 12 a^2 b^6 c^4 u^4 v w^4 x^3 z^3 - 8 b^8 c^4 u^4 v w^4 x^3 z^3 +
 4 b^6 c^6 u^4 v w^4 x^3 z^3 - a^8 b^4 u^3 v^2 w^4 x^3 z^3 -
 30 a^6 b^6 u^3 v^2 w^4 x^3 z^3 + 48 a^4 b^8 u^3 v^2 w^4 x^3 z^3 -
 2 a^2 b^10 u^3 v^2 w^4 x^3 z^3 - 15 b^12 u^3 v^2 w^4 x^3 z^3 +
 4 a^6 b^4 c^2 u^3 v^2 w^4 x^3 z^3 -
 2 a^4 b^6 c^2 u^3 v^2 w^4 x^3 z^3 -
 16 a^2 b^8 c^2 u^3 v^2 w^4 x^3 z^3 +
 46 b^10 c^2 u^3 v^2 w^4 x^3 z^3 -
 6 a^4 b^4 c^4 u^3 v^2 w^4 x^3 z^3 +
 14 a^2 b^6 c^4 u^3 v^2 w^4 x^3 z^3 -
 48 b^8 c^4 u^3 v^2 w^4 x^3 z^3 + 4 a^2 b^4 c^6 u^3 v^2 w^4 x^3 z^3 +
 18 b^6 c^6 u^3 v^2 w^4 x^3 z^3 - b^4 c^8 u^3 v^2 w^4 x^3 z^3 -
 14 a^8 b^4 u^2 v^3 w^4 x^3 z^3 - 8 a^6 b^6 u^2 v^3 w^4 x^3 z^3 +
 40 a^4 b^8 u^2 v^3 w^4 x^3 z^3 - 18 b^12 u^2 v^3 w^4 x^3 z^3 -
 48 a^4 b^6 c^2 u^2 v^3 w^4 x^3 z^3 +
 8 a^2 b^8 c^2 u^2 v^3 w^4 x^3 z^3 +
 72 b^10 c^2 u^2 v^3 w^4 x^3 z^3 +
 24 a^4 b^4 c^4 u^2 v^3 w^4 x^3 z^3 -
 16 a^2 b^6 c^4 u^2 v^3 w^4 x^3 z^3 -
 108 b^8 c^4 u^2 v^3 w^4 x^3 z^3 +
 8 a^2 b^4 c^6 u^2 v^3 w^4 x^3 z^3 + 72 b^6 c^6 u^2 v^3 w^4 x^3 z^3 -
 18 b^4 c^8 u^2 v^3 w^4 x^3 z^3 + a^12 u v^4 w^4 x^3 z^3 +
 a^10 b^2 u v^4 w^4 x^3 z^3 - 4 a^8 b^4 u v^4 w^4 x^3 z^3 -
 4 a^6 b^6 u v^4 w^4 x^3 z^3 + 3 a^4 b^8 u v^4 w^4 x^3 z^3 +
 11 a^2 b^10 u v^4 w^4 x^3 z^3 - 8 b^12 u v^4 w^4 x^3 z^3 -
 6 a^10 c^2 u v^4 w^4 x^3 z^3 - 7 a^8 b^2 c^2 u v^4 w^4 x^3 z^3 +
 12 a^6 b^4 c^2 u v^4 w^4 x^3 z^3 + 4 a^4 b^6 c^2 u v^4 w^4 x^3 z^3 -
 10 a^2 b^8 c^2 u v^4 w^4 x^3 z^3 + 39 b^10 c^2 u v^4 w^4 x^3 z^3 +
 15 a^8 c^4 u v^4 w^4 x^3 z^3 + 12 a^6 b^2 c^4 u v^4 w^4 x^3 z^3 -
 18 a^4 b^4 c^4 u v^4 w^4 x^3 z^3 -
 30 a^2 b^6 c^4 u v^4 w^4 x^3 z^3 - 75 b^8 c^4 u v^4 w^4 x^3 z^3 -
 20 a^6 c^6 u v^4 w^4 x^3 z^3 - 4 a^4 b^2 c^6 u v^4 w^4 x^3 z^3 +
 40 a^2 b^4 c^6 u v^4 w^4 x^3 z^3 + 70 b^6 c^6 u v^4 w^4 x^3 z^3 +
 15 a^4 c^8 u v^4 w^4 x^3 z^3 - 5 a^2 b^2 c^8 u v^4 w^4 x^3 z^3 -
 30 b^4 c^8 u v^4 w^4 x^3 z^3 - 6 a^2 c^10 u v^4 w^4 x^3 z^3 +
 3 b^2 c^10 u v^4 w^4 x^3 z^3 + c^12 u v^4 w^4 x^3 z^3 +
 2 a^12 v^5 w^4 x^3 z^3 + 4 a^10 b^2 v^5 w^4 x^3 z^3 -
 8 a^8 b^4 v^5 w^4 x^3 z^3 - 4 a^6 b^6 v^5 w^4 x^3 z^3 +
 6 a^4 b^8 v^5 w^4 x^3 z^3 - 8 a^10 c^2 v^5 w^4 x^3 z^3 +
 24 a^6 b^4 c^2 v^5 w^4 x^3 z^3 + 12 a^8 c^4 v^5 w^4 x^3 z^3 -
 12 a^6 b^2 c^4 v^5 w^4 x^3 z^3 - 16 a^4 b^4 c^4 v^5 w^4 x^3 z^3 -
 8 a^6 c^6 v^5 w^4 x^3 z^3 + 8 a^4 b^2 c^6 v^5 w^4 x^3 z^3 +
 2 a^4 c^8 v^5 w^4 x^3 z^3 + 4 a^8 b^4 u^3 v w^5 x^3 z^3 -
 4 b^12 u^3 v w^5 x^3 z^3 - 16 a^6 b^4 c^2 u^3 v w^5 x^3 z^3 -
 8 a^4 b^6 c^2 u^3 v w^5 x^3 z^3 + 8 b^10 c^2 u^3 v w^5 x^3 z^3 +
 24 a^4 b^4 c^4 u^3 v w^5 x^3 z^3 +
 16 a^2 b^6 c^4 u^3 v w^5 x^3 z^3 -
 16 a^2 b^4 c^6 u^3 v w^5 x^3 z^3 - 8 b^6 c^6 u^3 v w^5 x^3 z^3 +
 4 b^4 c^8 u^3 v w^5 x^3 z^3 + 7 a^8 b^4 u^2 v^2 w^5 x^3 z^3 -
 14 a^6 b^6 u^2 v^2 w^5 x^3 z^3 + 4 a^4 b^8 u^2 v^2 w^5 x^3 z^3 +
 6 a^2 b^10 u^2 v^2 w^5 x^3 z^3 - 3 b^12 u^2 v^2 w^5 x^3 z^3 -
 18 a^6 b^4 c^2 u^2 v^2 w^5 x^3 z^3 -
 10 a^2 b^8 c^2 u^2 v^2 w^5 x^3 z^3 +
 12 b^10 c^2 u^2 v^2 w^5 x^3 z^3 +
 12 a^4 b^4 c^4 u^2 v^2 w^5 x^3 z^3 +
 2 a^2 b^6 c^4 u^2 v^2 w^5 x^3 z^3 - 18 b^8 c^4 u^2 v^2 w^5 x^3 z^3 +
 2 a^2 b^4 c^6 u^2 v^2 w^5 x^3 z^3 + 12 b^6 c^6 u^2 v^2 w^5 x^3 z^3 -
 3 b^4 c^8 u^2 v^2 w^5 x^3 z^3 - 3 a^10 b^2 u v^3 w^5 x^3 z^3 -
 11 a^8 b^4 u v^3 w^5 x^3 z^3 - 10 a^6 b^6 u v^3 w^5 x^3 z^3 +
 14 a^4 b^8 u v^3 w^5 x^3 z^3 + 13 a^2 b^10 u v^3 w^5 x^3 z^3 -
 3 b^12 u v^3 w^5 x^3 z^3 + 15 a^8 b^2 c^2 u v^3 w^5 x^3 z^3 +
 24 a^6 b^4 c^2 u v^3 w^5 x^3 z^3 -
 14 a^4 b^6 c^2 u v^3 w^5 x^3 z^3 -
 24 a^2 b^8 c^2 u v^3 w^5 x^3 z^3 + 15 b^10 c^2 u v^3 w^5 x^3 z^3 -
 30 a^6 b^2 c^4 u v^3 w^5 x^3 z^3 -
 30 a^4 b^4 c^4 u v^3 w^5 x^3 z^3 - 6 a^2 b^6 c^4 u v^3 w^5 x^3 z^3 -
 30 b^8 c^4 u v^3 w^5 x^3 z^3 + 30 a^4 b^2 c^6 u v^3 w^5 x^3 z^3 +
 32 a^2 b^4 c^6 u v^3 w^5 x^3 z^3 + 30 b^6 c^6 u v^3 w^5 x^3 z^3 -
 15 a^2 b^2 c^8 u v^3 w^5 x^3 z^3 - 15 b^4 c^8 u v^3 w^5 x^3 z^3 +
 3 b^2 c^10 u v^3 w^5 x^3 z^3 - 6 a^10 b^2 v^4 w^5 x^3 z^3 -
 10 a^8 b^4 v^4 w^5 x^3 z^3 + 6 a^6 b^6 v^4 w^5 x^3 z^3 +
 10 a^4 b^8 v^4 w^5 x^3 z^3 + 18 a^8 b^2 c^2 v^4 w^5 x^3 z^3 +
 12 a^6 b^4 c^2 v^4 w^5 x^3 z^3 - 14 a^4 b^6 c^2 v^4 w^5 x^3 z^3 -
 18 a^6 b^2 c^4 v^4 w^5 x^3 z^3 - 2 a^4 b^4 c^4 v^4 w^5 x^3 z^3 +
 6 a^4 b^2 c^6 v^4 w^5 x^3 z^3 + 2 a^8 b^4 u^2 v w^6 x^3 z^3 +
 4 a^6 b^6 u^2 v w^6 x^3 z^3 + 4 a^4 b^8 u^2 v w^6 x^3 z^3 +
 4 a^2 b^10 u^2 v w^6 x^3 z^3 + 2 b^12 u^2 v w^6 x^3 z^3 -
 8 a^6 b^4 c^2 u^2 v w^6 x^3 z^3 - 16 a^4 b^6 c^2 u^2 v w^6 x^3 z^3 -
 16 a^2 b^8 c^2 u^2 v w^6 x^3 z^3 - 8 b^10 c^2 u^2 v w^6 x^3 z^3 +
 12 a^4 b^4 c^4 u^2 v w^6 x^3 z^3 +
 20 a^2 b^6 c^4 u^2 v w^6 x^3 z^3 + 12 b^8 c^4 u^2 v w^6 x^3 z^3 -
 8 a^2 b^4 c^6 u^2 v w^6 x^3 z^3 - 8 b^6 c^6 u^2 v w^6 x^3 z^3 +
 2 b^4 c^8 u^2 v w^6 x^3 z^3 + 6 a^8 b^4 u v^2 w^6 x^3 z^3 +
 10 a^6 b^6 u v^2 w^6 x^3 z^3 + 10 a^4 b^8 u v^2 w^6 x^3 z^3 +
 6 a^2 b^10 u v^2 w^6 x^3 z^3 - 18 a^6 b^4 c^2 u v^2 w^6 x^3 z^3 -
 28 a^4 b^6 c^2 u v^2 w^6 x^3 z^3 -
 18 a^2 b^8 c^2 u v^2 w^6 x^3 z^3 +
 18 a^4 b^4 c^4 u v^2 w^6 x^3 z^3 +
 18 a^2 b^6 c^4 u v^2 w^6 x^3 z^3 - 6 a^2 b^4 c^6 u v^2 w^6 x^3 z^3 +
 4 a^8 b^4 v^3 w^6 x^3 z^3 + 8 a^6 b^6 v^3 w^6 x^3 z^3 +
 4 a^4 b^8 v^3 w^6 x^3 z^3 - 8 a^6 b^4 c^2 v^3 w^6 x^3 z^3 -
 8 a^4 b^6 c^2 v^3 w^6 x^3 z^3 + 4 a^4 b^4 c^4 v^3 w^6 x^3 z^3 +
 2 a^6 b^2 c^4 u^6 v^3 x^2 y z^3 - 6 a^4 b^4 c^4 u^6 v^3 x^2 y z^3 +
 6 a^2 b^6 c^4 u^6 v^3 x^2 y z^3 - 2 b^8 c^4 u^6 v^3 x^2 y z^3 -
 6 a^4 b^2 c^6 u^6 v^3 x^2 y z^3 + 4 a^2 b^4 c^6 u^6 v^3 x^2 y z^3 +
 2 b^6 c^6 u^6 v^3 x^2 y z^3 + 6 a^2 b^2 c^8 u^6 v^3 x^2 y z^3 +
 2 b^4 c^8 u^6 v^3 x^2 y z^3 - 2 b^2 c^10 u^6 v^3 x^2 y z^3 +
 a^8 c^4 u^5 v^4 x^2 y z^3 - 4 a^6 b^2 c^4 u^5 v^4 x^2 y z^3 -
 6 a^4 b^4 c^4 u^5 v^4 x^2 y z^3 + 20 a^2 b^6 c^4 u^5 v^4 x^2 y z^3 -
 11 b^8 c^4 u^5 v^4 x^2 y z^3 - 4 a^6 c^6 u^5 v^4 x^2 y z^3 -
 12 a^2 b^4 c^6 u^5 v^4 x^2 y z^3 + 16 b^6 c^6 u^5 v^4 x^2 y z^3 +
 6 a^4 c^8 u^5 v^4 x^2 y z^3 + 12 a^2 b^2 c^8 u^5 v^4 x^2 y z^3 +
 2 b^4 c^8 u^5 v^4 x^2 y z^3 - 4 a^2 c^10 u^5 v^4 x^2 y z^3 -
 8 b^2 c^10 u^5 v^4 x^2 y z^3 + c^12 u^5 v^4 x^2 y z^3 -
 a^8 c^4 u^4 v^5 x^2 y z^3 - 14 a^6 b^2 c^4 u^4 v^5 x^2 y z^3 +
 24 a^4 b^4 c^4 u^4 v^5 x^2 y z^3 - 2 a^2 b^6 c^4 u^4 v^5 x^2 y z^3 -
 7 b^8 c^4 u^4 v^5 x^2 y z^3 - 6 a^4 b^2 c^6 u^4 v^5 x^2 y z^3 -
 12 a^2 b^4 c^6 u^4 v^5 x^2 y z^3 + 18 b^6 c^6 u^4 v^5 x^2 y z^3 +
 6 a^4 c^8 u^4 v^5 x^2 y z^3 + 22 a^2 b^2 c^8 u^4 v^5 x^2 y z^3 -
 12 b^4 c^8 u^4 v^5 x^2 y z^3 - 8 a^2 c^10 u^4 v^5 x^2 y z^3 -
 2 b^2 c^10 u^4 v^5 x^2 y z^3 + 3 c^12 u^4 v^5 x^2 y z^3 -
 5 a^8 c^4 u^3 v^6 x^2 y z^3 + 4 a^6 b^2 c^4 u^3 v^6 x^2 y z^3 +
 6 a^4 b^4 c^4 u^3 v^6 x^2 y z^3 - 4 a^2 b^6 c^4 u^3 v^6 x^2 y z^3 -
 b^8 c^4 u^3 v^6 x^2 y z^3 + 4 a^6 c^6 u^3 v^6 x^2 y z^3 -
 12 a^4 b^2 c^6 u^3 v^6 x^2 y z^3 + 4 a^2 b^4 c^6 u^3 v^6 x^2 y z^3 +
 4 b^6 c^6 u^3 v^6 x^2 y z^3 + 6 a^4 c^8 u^3 v^6 x^2 y z^3 +
 4 a^2 b^2 c^8 u^3 v^6 x^2 y z^3 - 6 b^4 c^8 u^3 v^6 x^2 y z^3 -
 4 a^2 c^10 u^3 v^6 x^2 y z^3 + 4 b^2 c^10 u^3 v^6 x^2 y z^3 -
 c^12 u^3 v^6 x^2 y z^3 + 3 a^10 b^2 u^6 v^2 w x^2 y z^3 -
 15 a^8 b^4 u^6 v^2 w x^2 y z^3 + 30 a^6 b^6 u^6 v^2 w x^2 y z^3 -
 30 a^4 b^8 u^6 v^2 w x^2 y z^3 + 15 a^2 b^10 u^6 v^2 w x^2 y z^3 -
 3 b^12 u^6 v^2 w x^2 y z^3 - 9 a^8 b^2 c^2 u^6 v^2 w x^2 y z^3 +
 30 a^6 b^4 c^2 u^6 v^2 w x^2 y z^3 -
 36 a^4 b^6 c^2 u^6 v^2 w x^2 y z^3 +
 18 a^2 b^8 c^2 u^6 v^2 w x^2 y z^3 -
 3 b^10 c^2 u^6 v^2 w x^2 y z^3 + 6 a^6 b^2 c^4 u^6 v^2 w x^2 y z^3 -
 20 a^4 b^4 c^4 u^6 v^2 w x^2 y z^3 +
 14 a^2 b^6 c^4 u^6 v^2 w x^2 y z^3 +
 6 a^4 b^2 c^6 u^6 v^2 w x^2 y z^3 +
 10 a^2 b^4 c^6 u^6 v^2 w x^2 y z^3 + 8 b^6 c^6 u^6 v^2 w x^2 y z^3 -
 9 a^2 b^2 c^8 u^6 v^2 w x^2 y z^3 - 5 b^4 c^8 u^6 v^2 w x^2 y z^3 +
 3 b^2 c^10 u^6 v^2 w x^2 y z^3 + 3 a^12 u^5 v^3 w x^2 y z^3 -
 9 a^10 b^2 u^5 v^3 w x^2 y z^3 + 30 a^6 b^6 u^5 v^3 w x^2 y z^3 -
 45 a^4 b^8 u^5 v^3 w x^2 y z^3 + 27 a^2 b^10 u^5 v^3 w x^2 y z^3 -
 6 b^12 u^5 v^3 w x^2 y z^3 - 13 a^10 c^2 u^5 v^3 w x^2 y z^3 +
 40 a^8 b^2 c^2 u^5 v^3 w x^2 y z^3 -
 34 a^6 b^4 c^2 u^5 v^3 w x^2 y z^3 -
 8 a^4 b^6 c^2 u^5 v^3 w x^2 y z^3 +
 23 a^2 b^8 c^2 u^5 v^3 w x^2 y z^3 -
 8 b^10 c^2 u^5 v^3 w x^2 y z^3 + 20 a^8 c^4 u^5 v^3 w x^2 y z^3 -
 56 a^6 b^2 c^4 u^5 v^3 w x^2 y z^3 +
 60 a^4 b^4 c^4 u^5 v^3 w x^2 y z^3 -
 16 a^2 b^6 c^4 u^5 v^3 w x^2 y z^3 - 8 b^8 c^4 u^5 v^3 w x^2 y z^3 -
 10 a^6 c^6 u^5 v^3 w x^2 y z^3 +
 18 a^4 b^2 c^6 u^5 v^3 w x^2 y z^3 -
 10 a^2 b^4 c^6 u^5 v^3 w x^2 y z^3 +
 50 b^6 c^6 u^5 v^3 w x^2 y z^3 - 5 a^4 c^8 u^5 v^3 w x^2 y z^3 +
 17 a^2 b^2 c^8 u^5 v^3 w x^2 y z^3 -
 16 b^4 c^8 u^5 v^3 w x^2 y z^3 + 7 a^2 c^10 u^5 v^3 w x^2 y z^3 -
 10 b^2 c^10 u^5 v^3 w x^2 y z^3 - 2 c^12 u^5 v^3 w x^2 y z^3 +
 8 a^12 u^4 v^4 w x^2 y z^3 - 39 a^10 b^2 u^4 v^4 w x^2 y z^3 +
 75 a^8 b^4 u^4 v^4 w x^2 y z^3 - 70 a^6 b^6 u^4 v^4 w x^2 y z^3 +
 30 a^4 b^8 u^4 v^4 w x^2 y z^3 - 3 a^2 b^10 u^4 v^4 w x^2 y z^3 -
 b^12 u^4 v^4 w x^2 y z^3 - 23 a^10 c^2 u^4 v^4 w x^2 y z^3 +
 92 a^8 b^2 c^2 u^4 v^4 w x^2 y z^3 -
 138 a^6 b^4 c^2 u^4 v^4 w x^2 y z^3 +
 92 a^4 b^6 c^2 u^4 v^4 w x^2 y z^3 -
 23 a^2 b^8 c^2 u^4 v^4 w x^2 y z^3 +
 20 a^8 c^4 u^4 v^4 w x^2 y z^3 -
 34 a^6 b^2 c^4 u^4 v^4 w x^2 y z^3 +
 42 a^4 b^4 c^4 u^4 v^4 w x^2 y z^3 -
 14 a^2 b^6 c^4 u^4 v^4 w x^2 y z^3 -
 14 b^8 c^4 u^4 v^4 w x^2 y z^3 - 10 a^6 c^6 u^4 v^4 w x^2 y z^3 -
 56 a^4 b^2 c^6 u^4 v^4 w x^2 y z^3 +
 22 a^2 b^4 c^6 u^4 v^4 w x^2 y z^3 +
 44 b^6 c^6 u^4 v^4 w x^2 y z^3 + 20 a^4 c^8 u^4 v^4 w x^2 y z^3 +
 41 a^2 b^2 c^8 u^4 v^4 w x^2 y z^3 -
 33 b^4 c^8 u^4 v^4 w x^2 y z^3 - 23 a^2 c^10 u^4 v^4 w x^2 y z^3 -
 4 b^2 c^10 u^4 v^4 w x^2 y z^3 + 8 c^12 u^4 v^4 w x^2 y z^3 +
 7 a^12 u^3 v^5 w x^2 y z^3 - 39 a^10 b^2 u^3 v^5 w x^2 y z^3 +
 90 a^8 b^4 u^3 v^5 w x^2 y z^3 - 110 a^6 b^6 u^3 v^5 w x^2 y z^3 +
 75 a^4 b^8 u^3 v^5 w x^2 y z^3 - 27 a^2 b^10 u^3 v^5 w x^2 y z^3 +
 4 b^12 u^3 v^5 w x^2 y z^3 - 11 a^10 c^2 u^3 v^5 w x^2 y z^3 +
 24 a^8 b^2 c^2 u^3 v^5 w x^2 y z^3 +
 2 a^6 b^4 c^2 u^3 v^5 w x^2 y z^3 -
 40 a^4 b^6 c^2 u^3 v^5 w x^2 y z^3 +
 33 a^2 b^8 c^2 u^3 v^5 w x^2 y z^3 -
 8 b^10 c^2 u^3 v^5 w x^2 y z^3 + 4 a^8 c^4 u^3 v^5 w x^2 y z^3 +
 8 a^6 b^2 c^4 u^3 v^5 w x^2 y z^3 -
 20 a^4 b^4 c^4 u^3 v^5 w x^2 y z^3 +
 16 a^2 b^6 c^4 u^3 v^5 w x^2 y z^3 - 8 b^8 c^4 u^3 v^5 w x^2 y z^3 -
 16 a^6 c^6 u^3 v^5 w x^2 y z^3 -
 28 a^4 b^2 c^6 u^3 v^5 w x^2 y z^3 -
 36 a^2 b^4 c^6 u^3 v^5 w x^2 y z^3 +
 32 b^6 c^6 u^3 v^5 w x^2 y z^3 + 29 a^4 c^8 u^3 v^5 w x^2 y z^3 +
 27 a^2 b^2 c^8 u^3 v^5 w x^2 y z^3 -
 28 b^4 c^8 u^3 v^5 w x^2 y z^3 - 13 a^2 c^10 u^3 v^5 w x^2 y z^3 +
 8 b^2 c^10 u^3 v^5 w x^2 y z^3 + 2 a^12 u^2 v^6 w x^2 y z^3 -
 12 a^10 b^2 u^2 v^6 w x^2 y z^3 + 30 a^8 b^4 u^2 v^6 w x^2 y z^3 -
 40 a^6 b^6 u^2 v^6 w x^2 y z^3 + 30 a^4 b^8 u^2 v^6 w x^2 y z^3 -
 12 a^2 b^10 u^2 v^6 w x^2 y z^3 + 2 b^12 u^2 v^6 w x^2 y z^3 -
 7 a^10 c^2 u^2 v^6 w x^2 y z^3 +
 11 a^8 b^2 c^2 u^2 v^6 w x^2 y z^3 +
 16 a^6 b^4 c^2 u^2 v^6 w x^2 y z^3 -
 44 a^4 b^6 c^2 u^2 v^6 w x^2 y z^3 +
 31 a^2 b^8 c^2 u^2 v^6 w x^2 y z^3 - 7 b^10 c^2 u^2 v^6 w x^2 y z^3 -
  a^8 c^4 u^2 v^6 w x^2 y z^3 - 12 a^6 b^2 c^4 u^2 v^6 w x^2 y z^3 +
 24 a^4 b^4 c^4 u^2 v^6 w x^2 y z^3 -
 16 a^2 b^6 c^4 u^2 v^6 w x^2 y z^3 + 5 b^8 c^4 u^2 v^6 w x^2 y z^3 +
 4 a^6 c^6 u^2 v^6 w x^2 y z^3 - 20 a^4 b^2 c^6 u^2 v^6 w x^2 y z^3 -
 18 a^2 b^4 c^6 u^2 v^6 w x^2 y z^3 +
 10 b^6 c^6 u^2 v^6 w x^2 y z^3 + 10 a^4 c^8 u^2 v^6 w x^2 y z^3 +
 20 a^2 b^2 c^8 u^2 v^6 w x^2 y z^3 -
 20 b^4 c^8 u^2 v^6 w x^2 y z^3 - 5 a^2 c^10 u^2 v^6 w x^2 y z^3 +
 13 b^2 c^10 u^2 v^6 w x^2 y z^3 - 3 c^12 u^2 v^6 w x^2 y z^3 -
 2 a^10 b^2 u^6 v w^2 x^2 y z^3 + a^8 b^4 u^6 v w^2 x^2 y z^3 +
 16 a^6 b^6 u^6 v w^2 x^2 y z^3 - 34 a^4 b^8 u^6 v w^2 x^2 y z^3 +
 26 a^2 b^10 u^6 v w^2 x^2 y z^3 - 7 b^12 u^6 v w^2 x^2 y z^3 +
 10 a^8 b^2 c^2 u^6 v w^2 x^2 y z^3 -
 8 a^6 b^4 c^2 u^6 v w^2 x^2 y z^3 -
 16 a^4 b^6 c^2 u^6 v w^2 x^2 y z^3 +
 16 a^2 b^8 c^2 u^6 v w^2 x^2 y z^3 -
 2 b^10 c^2 u^6 v w^2 x^2 y z^3 -
 20 a^6 b^2 c^4 u^6 v w^2 x^2 y z^3 +
 18 a^4 b^4 c^4 u^6 v w^2 x^2 y z^3 + 2 b^8 c^4 u^6 v w^2 x^2 y z^3 +
 20 a^4 b^2 c^6 u^6 v w^2 x^2 y z^3 -
 16 a^2 b^4 c^6 u^6 v w^2 x^2 y z^3 -
 10 a^2 b^2 c^8 u^6 v w^2 x^2 y z^3 + 5 b^4 c^8 u^6 v w^2 x^2 y z^3 +
 2 b^2 c^10 u^6 v w^2 x^2 y z^3 - 2 a^12 u^5 v^2 w^2 x^2 y z^3 +
 3 a^10 b^2 u^5 v^2 w^2 x^2 y z^3 - 7 a^8 b^4 u^5 v^2 w^2 x^2 y z^3 +
 38 a^6 b^6 u^5 v^2 w^2 x^2 y z^3 -
 72 a^4 b^8 u^5 v^2 w^2 x^2 y z^3 +
 55 a^2 b^10 u^5 v^2 w^2 x^2 y z^3 - 15 b^12 u^5 v^2 w^2 x^2 y z^3 +
 12 a^10 c^2 u^5 v^2 w^2 x^2 y z^3 -
 17 a^8 b^2 c^2 u^5 v^2 w^2 x^2 y z^3 -
 16 a^6 b^4 c^2 u^5 v^2 w^2 x^2 y z^3 +
 30 a^4 b^6 c^2 u^5 v^2 w^2 x^2 y z^3 -
 4 a^2 b^8 c^2 u^5 v^2 w^2 x^2 y z^3 -
 5 b^10 c^2 u^5 v^2 w^2 x^2 y z^3 -
 30 a^8 c^4 u^5 v^2 w^2 x^2 y z^3 +
 38 a^6 b^2 c^4 u^5 v^2 w^2 x^2 y z^3 +
 22 a^4 b^4 c^4 u^5 v^2 w^2 x^2 y z^3 -
 70 a^2 b^6 c^4 u^5 v^2 w^2 x^2 y z^3 +
 8 b^8 c^4 u^5 v^2 w^2 x^2 y z^3 + 40 a^6 c^6 u^5 v^2 w^2 x^2 y z^3 -
 42 a^4 b^2 c^6 u^5 v^2 w^2 x^2 y z^3 +
 32 a^2 b^4 c^6 u^5 v^2 w^2 x^2 y z^3 +
 50 b^6 c^6 u^5 v^2 w^2 x^2 y z^3 -
 30 a^4 c^8 u^5 v^2 w^2 x^2 y z^3 +
 23 a^2 b^2 c^8 u^5 v^2 w^2 x^2 y z^3 -
 31 b^4 c^8 u^5 v^2 w^2 x^2 y z^3 +
 12 a^2 c^10 u^5 v^2 w^2 x^2 y z^3 -
 5 b^2 c^10 u^5 v^2 w^2 x^2 y z^3 - 2 c^12 u^5 v^2 w^2 x^2 y z^3 +
 a^12 u^4 v^3 w^2 x^2 y z^3 - 9 a^10 b^2 u^4 v^3 w^2 x^2 y z^3 +
 30 a^8 b^4 u^4 v^3 w^2 x^2 y z^3 -
 50 a^6 b^6 u^4 v^3 w^2 x^2 y z^3 +
 45 a^4 b^8 u^4 v^3 w^2 x^2 y z^3 -
 21 a^2 b^10 u^4 v^3 w^2 x^2 y z^3 + 4 b^12 u^4 v^3 w^2 x^2 y z^3 -
 6 a^10 c^2 u^4 v^3 w^2 x^2 y z^3 +
 9 a^8 b^2 c^2 u^4 v^3 w^2 x^2 y z^3 -
 16 a^6 b^4 c^2 u^4 v^3 w^2 x^2 y z^3 +
 38 a^4 b^6 c^2 u^4 v^3 w^2 x^2 y z^3 -
 34 a^2 b^8 c^2 u^4 v^3 w^2 x^2 y z^3 +
 9 b^10 c^2 u^4 v^3 w^2 x^2 y z^3 +
 15 a^8 c^4 u^4 v^3 w^2 x^2 y z^3 +
 22 a^6 b^2 c^4 u^4 v^3 w^2 x^2 y z^3 -
 20 a^4 b^4 c^4 u^4 v^3 w^2 x^2 y z^3 +
 10 a^2 b^6 c^4 u^4 v^3 w^2 x^2 y z^3 -
 59 b^8 c^4 u^4 v^3 w^2 x^2 y z^3 -
 20 a^6 c^6 u^4 v^3 w^2 x^2 y z^3 -
 30 a^4 b^2 c^6 u^4 v^3 w^2 x^2 y z^3 +
 48 a^2 b^4 c^6 u^4 v^3 w^2 x^2 y z^3 +
 82 b^6 c^6 u^4 v^3 w^2 x^2 y z^3 +
 15 a^4 c^8 u^4 v^3 w^2 x^2 y z^3 +
 3 a^2 b^2 c^8 u^4 v^3 w^2 x^2 y z^3 -
 42 b^4 c^8 u^4 v^3 w^2 x^2 y z^3 -
 6 a^2 c^10 u^4 v^3 w^2 x^2 y z^3 + 5 b^2 c^10 u^4 v^3 w^2 x^2 y z^3 +
  c^12 u^4 v^3 w^2 x^2 y z^3 + 13 a^12 u^3 v^4 w^2 x^2 y z^3 -
 48 a^10 b^2 u^3 v^4 w^2 x^2 y z^3 +
 75 a^8 b^4 u^3 v^4 w^2 x^2 y z^3 -
 80 a^6 b^6 u^3 v^4 w^2 x^2 y z^3 +
 75 a^4 b^8 u^3 v^4 w^2 x^2 y z^3 -
 48 a^2 b^10 u^3 v^4 w^2 x^2 y z^3 + 13 b^12 u^3 v^4 w^2 x^2 y z^3 -
 45 a^10 c^2 u^3 v^4 w^2 x^2 y z^3 +
 129 a^8 b^2 c^2 u^3 v^4 w^2 x^2 y z^3 -
 66 a^6 b^4 c^2 u^3 v^4 w^2 x^2 y z^3 -
 94 a^4 b^6 c^2 u^3 v^4 w^2 x^2 y z^3 +
 95 a^2 b^8 c^2 u^3 v^4 w^2 x^2 y z^3 -
 19 b^10 c^2 u^3 v^4 w^2 x^2 y z^3 +
 57 a^8 c^4 u^3 v^4 w^2 x^2 y z^3 -
 48 a^6 b^2 c^4 u^3 v^4 w^2 x^2 y z^3 +
 118 a^4 b^4 c^4 u^3 v^4 w^2 x^2 y z^3 -
 32 a^2 b^6 c^4 u^3 v^4 w^2 x^2 y z^3 -
 47 b^8 c^4 u^3 v^4 w^2 x^2 y z^3 -
 38 a^6 c^6 u^3 v^4 w^2 x^2 y z^3 -
 94 a^4 b^2 c^6 u^3 v^4 w^2 x^2 y z^3 -
 50 a^2 b^4 c^6 u^3 v^4 w^2 x^2 y z^3 +
 118 b^6 c^6 u^3 v^4 w^2 x^2 y z^3 +
 27 a^4 c^8 u^3 v^4 w^2 x^2 y z^3 +
 56 a^2 b^2 c^8 u^3 v^4 w^2 x^2 y z^3 -
 77 b^4 c^8 u^3 v^4 w^2 x^2 y z^3 -
 21 a^2 c^10 u^3 v^4 w^2 x^2 y z^3 +
 5 b^2 c^10 u^3 v^4 w^2 x^2 y z^3 + 7 c^12 u^3 v^4 w^2 x^2 y z^3 +
 16 a^12 u^2 v^5 w^2 x^2 y z^3 - 65 a^10 b^2 u^2 v^5 w^2 x^2 y z^3 +
 102 a^8 b^4 u^2 v^5 w^2 x^2 y z^3 -
 78 a^6 b^6 u^2 v^5 w^2 x^2 y z^3 +
 32 a^4 b^8 u^2 v^5 w^2 x^2 y z^3 -
 9 a^2 b^10 u^2 v^5 w^2 x^2 y z^3 + 2 b^12 u^2 v^5 w^2 x^2 y z^3 -
 24 a^10 c^2 u^2 v^5 w^2 x^2 y z^3 +
 67 a^8 b^2 c^2 u^2 v^5 w^2 x^2 y z^3 -
 44 a^6 b^4 c^2 u^2 v^5 w^2 x^2 y z^3 -
 18 a^4 b^6 c^2 u^2 v^5 w^2 x^2 y z^3 +
 20 a^2 b^8 c^2 u^2 v^5 w^2 x^2 y z^3 -
 b^10 c^2 u^2 v^5 w^2 x^2 y z^3 + 5 a^8 c^4 u^2 v^5 w^2 x^2 y z^3 +
 40 a^6 b^2 c^4 u^2 v^5 w^2 x^2 y z^3 +
 48 a^4 b^4 c^4 u^2 v^5 w^2 x^2 y z^3 -
 4 a^2 b^6 c^4 u^2 v^5 w^2 x^2 y z^3 -
 25 b^8 c^4 u^2 v^5 w^2 x^2 y z^3 -
 22 a^6 c^6 u^2 v^5 w^2 x^2 y z^3 -
 98 a^4 b^2 c^6 u^2 v^5 w^2 x^2 y z^3 -
 18 a^2 b^4 c^6 u^2 v^5 w^2 x^2 y z^3 +
 70 b^6 c^6 u^2 v^5 w^2 x^2 y z^3 +
 36 a^4 c^8 u^2 v^5 w^2 x^2 y z^3 +
 13 a^2 b^2 c^8 u^2 v^5 w^2 x^2 y z^3 -
 80 b^4 c^8 u^2 v^5 w^2 x^2 y z^3 -
 2 a^2 c^10 u^2 v^5 w^2 x^2 y z^3 +
 43 b^2 c^10 u^2 v^5 w^2 x^2 y z^3 - 9 c^12 u^2 v^5 w^2 x^2 y z^3 +
 3 a^12 u v^6 w^2 x^2 y z^3 - 13 a^10 b^2 u v^6 w^2 x^2 y z^3 +
 20 a^8 b^4 u v^6 w^2 x^2 y z^3 - 10 a^6 b^6 u v^6 w^2 x^2 y z^3 -
 5 a^4 b^8 u v^6 w^2 x^2 y z^3 + 7 a^2 b^10 u v^6 w^2 x^2 y z^3 -
 2 b^12 u v^6 w^2 x^2 y z^3 - 9 a^10 c^2 u v^6 w^2 x^2 y z^3 +
 4 a^8 b^2 c^2 u v^6 w^2 x^2 y z^3 +
 14 a^6 b^4 c^2 u v^6 w^2 x^2 y z^3 +
 8 a^4 b^6 c^2 u v^6 w^2 x^2 y z^3 -
 29 a^2 b^8 c^2 u v^6 w^2 x^2 y z^3 +
 12 b^10 c^2 u v^6 w^2 x^2 y z^3 + 4 a^8 c^4 u v^6 w^2 x^2 y z^3 -
 6 a^6 b^2 c^4 u v^6 w^2 x^2 y z^3 +
 2 a^4 b^4 c^4 u v^6 w^2 x^2 y z^3 +
 46 a^2 b^6 c^4 u v^6 w^2 x^2 y z^3 -
 30 b^8 c^4 u v^6 w^2 x^2 y z^3 + 2 a^6 c^6 u v^6 w^2 x^2 y z^3 -
 8 a^4 b^2 c^6 u v^6 w^2 x^2 y z^3 -
 34 a^2 b^4 c^6 u v^6 w^2 x^2 y z^3 +
 40 b^6 c^6 u v^6 w^2 x^2 y z^3 + 3 a^4 c^8 u v^6 w^2 x^2 y z^3 +
 11 a^2 b^2 c^8 u v^6 w^2 x^2 y z^3 - 30 b^4 c^8 u v^6 w^2 x^2 y z^3 -
  a^2 c^10 u v^6 w^2 x^2 y z^3 + 12 b^2 c^10 u v^6 w^2 x^2 y z^3 -
 2 c^12 u v^6 w^2 x^2 y z^3 + 2 a^8 b^4 u^6 w^3 x^2 y z^3 -
 4 a^6 b^6 u^6 w^3 x^2 y z^3 + 4 a^2 b^10 u^6 w^3 x^2 y z^3 -
 2 b^12 u^6 w^3 x^2 y z^3 - 8 a^6 b^4 c^2 u^6 w^3 x^2 y z^3 +
 12 a^4 b^6 c^2 u^6 w^3 x^2 y z^3 - 4 b^10 c^2 u^6 w^3 x^2 y z^3 +
 12 a^4 b^4 c^4 u^6 w^3 x^2 y z^3 -
 12 a^2 b^6 c^4 u^6 w^3 x^2 y z^3 - 8 a^2 b^4 c^6 u^6 w^3 x^2 y z^3 +
 4 b^6 c^6 u^6 w^3 x^2 y z^3 + 2 b^4 c^8 u^6 w^3 x^2 y z^3 +
 a^10 b^2 u^5 v w^3 x^2 y z^3 - 11 a^8 b^4 u^5 v w^3 x^2 y z^3 +
 30 a^6 b^6 u^5 v w^3 x^2 y z^3 - 34 a^4 b^8 u^5 v w^3 x^2 y z^3 +
 17 a^2 b^10 u^5 v w^3 x^2 y z^3 - 3 b^12 u^5 v w^3 x^2 y z^3 -
 5 a^8 b^2 c^2 u^5 v w^3 x^2 y z^3 +
 38 a^6 b^4 c^2 u^5 v w^3 x^2 y z^3 -
 8 a^4 b^6 c^2 u^5 v w^3 x^2 y z^3 -
 14 a^2 b^8 c^2 u^5 v w^3 x^2 y z^3 -
 11 b^10 c^2 u^5 v w^3 x^2 y z^3 +
 10 a^6 b^2 c^4 u^5 v w^3 x^2 y z^3 -
 48 a^4 b^4 c^4 u^5 v w^3 x^2 y z^3 -
 18 a^2 b^6 c^4 u^5 v w^3 x^2 y z^3 +
 24 b^8 c^4 u^5 v w^3 x^2 y z^3 -
 10 a^4 b^2 c^6 u^5 v w^3 x^2 y z^3 +
 26 a^2 b^4 c^6 u^5 v w^3 x^2 y z^3 - 4 b^6 c^6 u^5 v w^3 x^2 y z^3 +
 5 a^2 b^2 c^8 u^5 v w^3 x^2 y z^3 - 5 b^4 c^8 u^5 v w^3 x^2 y z^3 -
 b^2 c^10 u^5 v w^3 x^2 y z^3 - 3 a^12 u^4 v^2 w^3 x^2 y z^3 -
 2 a^10 b^2 u^4 v^2 w^3 x^2 y z^3 -
 20 a^8 b^4 u^4 v^2 w^3 x^2 y z^3 +
 78 a^6 b^6 u^4 v^2 w^3 x^2 y z^3 -
 49 a^4 b^8 u^4 v^2 w^3 x^2 y z^3 -
 28 a^2 b^10 u^4 v^2 w^3 x^2 y z^3 + 24 b^12 u^4 v^2 w^3 x^2 y z^3 +
 18 a^10 c^2 u^4 v^2 w^3 x^2 y z^3 -
 2 a^6 b^4 c^2 u^4 v^2 w^3 x^2 y z^3 -
 56 a^4 b^6 c^2 u^4 v^2 w^3 x^2 y z^3 +
 68 a^2 b^8 c^2 u^4 v^2 w^3 x^2 y z^3 -
 28 b^10 c^2 u^4 v^2 w^3 x^2 y z^3 -
 45 a^8 c^4 u^4 v^2 w^3 x^2 y z^3 +
 20 a^6 b^2 c^4 u^4 v^2 w^3 x^2 y z^3 +
 62 a^4 b^4 c^4 u^4 v^2 w^3 x^2 y z^3 -
 50 a^2 b^6 c^4 u^4 v^2 w^3 x^2 y z^3 -
 43 b^8 c^4 u^4 v^2 w^3 x^2 y z^3 +
 60 a^6 c^6 u^4 v^2 w^3 x^2 y z^3 -
 40 a^4 b^2 c^6 u^4 v^2 w^3 x^2 y z^3 -
 38 a^2 b^4 c^6 u^4 v^2 w^3 x^2 y z^3 +
 60 b^6 c^6 u^4 v^2 w^3 x^2 y z^3 -
 45 a^4 c^8 u^4 v^2 w^3 x^2 y z^3 +
 30 a^2 b^2 c^8 u^4 v^2 w^3 x^2 y z^3 -
 2 b^4 c^8 u^4 v^2 w^3 x^2 y z^3 +
 18 a^2 c^10 u^4 v^2 w^3 x^2 y z^3 -
 8 b^2 c^10 u^4 v^2 w^3 x^2 y z^3 - 3 c^12 u^4 v^2 w^3 x^2 y z^3 -
 6 a^12 u^3 v^3 w^3 x^2 y z^3 - 29 a^10 b^2 u^3 v^3 w^3 x^2 y z^3 +
 83 a^8 b^4 u^3 v^3 w^3 x^2 y z^3 -
 30 a^6 b^6 u^3 v^3 w^3 x^2 y z^3 -
 28 a^4 b^8 u^3 v^3 w^3 x^2 y z^3 -
 5 a^2 b^10 u^3 v^3 w^3 x^2 y z^3 + 15 b^12 u^3 v^3 w^3 x^2 y z^3 +
 24 a^10 c^2 u^3 v^3 w^3 x^2 y z^3 +
 15 a^8 b^2 c^2 u^3 v^3 w^3 x^2 y z^3 -
 156 a^6 b^4 c^2 u^3 v^3 w^3 x^2 y z^3 +
 62 a^4 b^6 c^2 u^3 v^3 w^3 x^2 y z^3 +
 84 a^2 b^8 c^2 u^3 v^3 w^3 x^2 y z^3 -
 29 b^10 c^2 u^3 v^3 w^3 x^2 y z^3 -
 30 a^8 c^4 u^3 v^3 w^3 x^2 y z^3 +
 122 a^6 b^2 c^4 u^3 v^3 w^3 x^2 y z^3 +
 102 a^4 b^4 c^4 u^3 v^3 w^3 x^2 y z^3 -
 150 a^2 b^6 c^4 u^3 v^3 w^3 x^2 y z^3 -
 28 b^8 c^4 u^3 v^3 w^3 x^2 y z^3 -
 166 a^4 b^2 c^6 u^3 v^3 w^3 x^2 y z^3 +
 44 a^2 b^4 c^6 u^3 v^3 w^3 x^2 y z^3 +
 102 b^6 c^6 u^3 v^3 w^3 x^2 y z^3 +
 30 a^4 c^8 u^3 v^3 w^3 x^2 y z^3 +
 51 a^2 b^2 c^8 u^3 v^3 w^3 x^2 y z^3 -
 73 b^4 c^8 u^3 v^3 w^3 x^2 y z^3 -
 24 a^2 c^10 u^3 v^3 w^3 x^2 y z^3 +
 7 b^2 c^10 u^3 v^3 w^3 x^2 y z^3 + 6 c^12 u^3 v^3 w^3 x^2 y z^3 -
 a^12 u^2 v^4 w^3 x^2 y z^3 - 21 a^10 b^2 u^2 v^4 w^3 x^2 y z^3 +
 84 a^8 b^4 u^2 v^4 w^3 x^2 y z^3 -
 110 a^6 b^6 u^2 v^4 w^3 x^2 y z^3 +
 51 a^4 b^8 u^2 v^4 w^3 x^2 y z^3 +
 3 a^2 b^10 u^2 v^4 w^3 x^2 y z^3 - 6 b^12 u^2 v^4 w^3 x^2 y z^3 -
 9 a^10 c^2 u^2 v^4 w^3 x^2 y z^3 +
 28 a^8 b^2 c^2 u^2 v^4 w^3 x^2 y z^3 -
 6 a^6 b^4 c^2 u^2 v^4 w^3 x^2 y z^3 -
 32 a^4 b^6 c^2 u^2 v^4 w^3 x^2 y z^3 -
 17 a^2 b^8 c^2 u^2 v^4 w^3 x^2 y z^3 +
 36 b^10 c^2 u^2 v^4 w^3 x^2 y z^3 +
 40 a^8 c^4 u^2 v^4 w^3 x^2 y z^3 +
 54 a^6 b^2 c^4 u^2 v^4 w^3 x^2 y z^3 +
 38 a^4 b^4 c^4 u^2 v^4 w^3 x^2 y z^3 +
 22 a^2 b^6 c^4 u^2 v^4 w^3 x^2 y z^3 -
 90 b^8 c^4 u^2 v^4 w^3 x^2 y z^3 -
 50 a^6 c^6 u^2 v^4 w^3 x^2 y z^3 -
 72 a^4 b^2 c^6 u^2 v^4 w^3 x^2 y z^3 +
 6 a^2 b^4 c^6 u^2 v^4 w^3 x^2 y z^3 +
 120 b^6 c^6 u^2 v^4 w^3 x^2 y z^3 +
 15 a^4 c^8 u^2 v^4 w^3 x^2 y z^3 -
 25 a^2 b^2 c^8 u^2 v^4 w^3 x^2 y z^3 -
 90 b^4 c^8 u^2 v^4 w^3 x^2 y z^3 +
 11 a^2 c^10 u^2 v^4 w^3 x^2 y z^3 +
 36 b^2 c^10 u^2 v^4 w^3 x^2 y z^3 - 6 c^12 u^2 v^4 w^3 x^2 y z^3 +
 11 a^12 u v^5 w^3 x^2 y z^3 - 27 a^10 b^2 u v^5 w^3 x^2 y z^3 +
 24 a^8 b^4 u v^5 w^3 x^2 y z^3 - 14 a^6 b^6 u v^5 w^3 x^2 y z^3 +
 3 a^4 b^8 u v^5 w^3 x^2 y z^3 + 9 a^2 b^10 u v^5 w^3 x^2 y z^3 -
 6 b^12 u v^5 w^3 x^2 y z^3 - 15 a^10 c^2 u v^5 w^3 x^2 y z^3 +
 50 a^8 b^2 c^2 u v^5 w^3 x^2 y z^3 -
 38 a^4 b^6 c^2 u v^5 w^3 x^2 y z^3 -
 33 a^2 b^8 c^2 u v^5 w^3 x^2 y z^3 +
 36 b^10 c^2 u v^5 w^3 x^2 y z^3 - 6 a^8 c^4 u v^5 w^3 x^2 y z^3 -
 6 a^6 b^2 c^4 u v^5 w^3 x^2 y z^3 +
 76 a^4 b^4 c^4 u v^5 w^3 x^2 y z^3 +
 42 a^2 b^6 c^4 u v^5 w^3 x^2 y z^3 -
 90 b^8 c^4 u v^5 w^3 x^2 y z^3 + 4 a^6 c^6 u v^5 w^3 x^2 y z^3 -
 50 a^4 b^2 c^6 u v^5 w^3 x^2 y z^3 -
 18 a^2 b^4 c^6 u v^5 w^3 x^2 y z^3 +
 120 b^6 c^6 u v^5 w^3 x^2 y z^3 + 9 a^4 c^8 u v^5 w^3 x^2 y z^3 -
 3 a^2 b^2 c^8 u v^5 w^3 x^2 y z^3 - 90 b^4 c^8 u v^5 w^3 x^2 y z^3 +
 3 a^2 c^10 u v^5 w^3 x^2 y z^3 + 36 b^2 c^10 u v^5 w^3 x^2 y z^3 -
 6 c^12 u v^5 w^3 x^2 y z^3 + a^12 v^6 w^3 x^2 y z^3 -
 2 a^10 b^2 v^6 w^3 x^2 y z^3 + 2 a^6 b^6 v^6 w^3 x^2 y z^3 -
 a^4 b^8 v^6 w^3 x^2 y z^3 - 2 a^10 c^2 v^6 w^3 x^2 y z^3 -
 2 a^6 b^4 c^2 v^6 w^3 x^2 y z^3 + 4 a^4 b^6 c^2 v^6 w^3 x^2 y z^3 -
 2 a^6 b^2 c^4 v^6 w^3 x^2 y z^3 - 6 a^4 b^4 c^4 v^6 w^3 x^2 y z^3 +
 2 a^6 c^6 v^6 w^3 x^2 y z^3 + 4 a^4 b^2 c^6 v^6 w^3 x^2 y z^3 -
 a^4 c^8 v^6 w^3 x^2 y z^3 + 3 a^8 b^4 u^5 w^4 x^2 y z^3 -
 6 a^4 b^8 u^5 w^4 x^2 y z^3 + 3 b^12 u^5 w^4 x^2 y z^3 -
 12 a^6 b^4 c^2 u^5 w^4 x^2 y z^3 +
 12 a^2 b^8 c^2 u^5 w^4 x^2 y z^3 +
 18 a^4 b^4 c^4 u^5 w^4 x^2 y z^3 - 6 b^8 c^4 u^5 w^4 x^2 y z^3 -
 12 a^2 b^4 c^6 u^5 w^4 x^2 y z^3 + 3 b^4 c^8 u^5 w^4 x^2 y z^3 +
 9 a^10 b^2 u^4 v w^4 x^2 y z^3 - 2 a^8 b^4 u^4 v w^4 x^2 y z^3 +
 18 a^6 b^6 u^4 v w^4 x^2 y z^3 - 48 a^4 b^8 u^4 v w^4 x^2 y z^3 +
 5 a^2 b^10 u^4 v w^4 x^2 y z^3 + 18 b^12 u^4 v w^4 x^2 y z^3 -
 45 a^8 b^2 c^2 u^4 v w^4 x^2 y z^3 +
 2 a^6 b^4 c^2 u^4 v w^4 x^2 y z^3 +
 60 a^4 b^6 c^2 u^4 v w^4 x^2 y z^3 +
 62 a^2 b^8 c^2 u^4 v w^4 x^2 y z^3 -
 31 b^10 c^2 u^4 v w^4 x^2 y z^3 +
 90 a^6 b^2 c^4 u^4 v w^4 x^2 y z^3 +
 6 a^4 b^4 c^4 u^4 v w^4 x^2 y z^3 -
 102 a^2 b^6 c^4 u^4 v w^4 x^2 y z^3 -
 6 b^8 c^4 u^4 v w^4 x^2 y z^3 - 90 a^4 b^2 c^6 u^4 v w^4 x^2 y z^3 -
 10 a^2 b^4 c^6 u^4 v w^4 x^2 y z^3 +
 24 b^6 c^6 u^4 v w^4 x^2 y z^3 +
 45 a^2 b^2 c^8 u^4 v w^4 x^2 y z^3 + 4 b^4 c^8 u^4 v w^4 x^2 y z^3 -
 9 b^2 c^10 u^4 v w^4 x^2 y z^3 + 13 a^10 b^2 u^3 v^2 w^4 x^2 y z^3 -
 10 a^8 b^4 u^3 v^2 w^4 x^2 y z^3 -
 18 a^6 b^6 u^3 v^2 w^4 x^2 y z^3 +
 12 a^4 b^8 u^3 v^2 w^4 x^2 y z^3 +
 5 a^2 b^10 u^3 v^2 w^4 x^2 y z^3 - 2 b^12 u^3 v^2 w^4 x^2 y z^3 -
 53 a^8 b^2 c^2 u^3 v^2 w^4 x^2 y z^3 +
 32 a^6 b^4 c^2 u^3 v^2 w^4 x^2 y z^3 +
 46 a^4 b^6 c^2 u^3 v^2 w^4 x^2 y z^3 +
 32 a^2 b^8 c^2 u^3 v^2 w^4 x^2 y z^3 +
 7 b^10 c^2 u^3 v^2 w^4 x^2 y z^3 +
 82 a^6 b^2 c^4 u^3 v^2 w^4 x^2 y z^3 -
 32 a^4 b^4 c^4 u^3 v^2 w^4 x^2 y z^3 -
 62 a^2 b^6 c^4 u^3 v^2 w^4 x^2 y z^3 -
 8 b^8 c^4 u^3 v^2 w^4 x^2 y z^3 -
 58 a^4 b^2 c^6 u^3 v^2 w^4 x^2 y z^3 +
 8 a^2 b^4 c^6 u^3 v^2 w^4 x^2 y z^3 +
 2 b^6 c^6 u^3 v^2 w^4 x^2 y z^3 +
 17 a^2 b^2 c^8 u^3 v^2 w^4 x^2 y z^3 +
 2 b^4 c^8 u^3 v^2 w^4 x^2 y z^3 - b^2 c^10 u^3 v^2 w^4 x^2 y z^3 -
 3 a^12 u^2 v^3 w^4 x^2 y z^3 - 28 a^10 b^2 u^2 v^3 w^4 x^2 y z^3 +
 25 a^8 b^4 u^2 v^3 w^4 x^2 y z^3 -
 10 a^6 b^6 u^2 v^3 w^4 x^2 y z^3 +
 61 a^4 b^8 u^2 v^3 w^4 x^2 y z^3 -
 34 a^2 b^10 u^2 v^3 w^4 x^2 y z^3 - 11 b^12 u^2 v^3 w^4 x^2 y z^3 +
 14 a^10 c^2 u^2 v^3 w^4 x^2 y z^3 +
 48 a^8 b^2 c^2 u^2 v^3 w^4 x^2 y z^3 -
 92 a^6 b^4 c^2 u^2 v^3 w^4 x^2 y z^3 -
 114 a^4 b^6 c^2 u^2 v^3 w^4 x^2 y z^3 +
 90 a^2 b^8 c^2 u^2 v^3 w^4 x^2 y z^3 +
 54 b^10 c^2 u^2 v^3 w^4 x^2 y z^3 -
 25 a^8 c^4 u^2 v^3 w^4 x^2 y z^3 +
 18 a^6 b^2 c^4 u^2 v^3 w^4 x^2 y z^3 +
 120 a^4 b^4 c^4 u^2 v^3 w^4 x^2 y z^3 -
 64 a^2 b^6 c^4 u^2 v^3 w^4 x^2 y z^3 -
 105 b^8 c^4 u^2 v^3 w^4 x^2 y z^3 +
 20 a^6 c^6 u^2 v^3 w^4 x^2 y z^3 -
 62 a^4 b^2 c^6 u^2 v^3 w^4 x^2 y z^3 -
 8 a^2 b^4 c^6 u^2 v^3 w^4 x^2 y z^3 +
 100 b^6 c^6 u^2 v^3 w^4 x^2 y z^3 -
 5 a^4 c^8 u^2 v^3 w^4 x^2 y z^3 +
 18 a^2 b^2 c^8 u^2 v^3 w^4 x^2 y z^3 -
 45 b^4 c^8 u^2 v^3 w^4 x^2 y z^3 -
 2 a^2 c^10 u^2 v^3 w^4 x^2 y z^3 + 6 b^2 c^10 u^2 v^3 w^4 x^2 y z^3 +
  c^12 u^2 v^3 w^4 x^2 y z^3 - 9 a^12 u v^4 w^4 x^2 y z^3 -
 21 a^10 b^2 u v^4 w^4 x^2 y z^3 + 44 a^8 b^4 u v^4 w^4 x^2 y z^3 -
 6 a^6 b^6 u v^4 w^4 x^2 y z^3 + 3 a^4 b^8 u v^4 w^4 x^2 y z^3 -
 5 a^2 b^10 u v^4 w^4 x^2 y z^3 - 6 b^12 u v^4 w^4 x^2 y z^3 +
 25 a^10 c^2 u v^4 w^4 x^2 y z^3 +
 16 a^8 b^2 c^2 u v^4 w^4 x^2 y z^3 -
 82 a^6 b^4 c^2 u v^4 w^4 x^2 y z^3 -
 28 a^4 b^6 c^2 u v^4 w^4 x^2 y z^3 +
 33 a^2 b^8 c^2 u v^4 w^4 x^2 y z^3 +
 36 b^10 c^2 u v^4 w^4 x^2 y z^3 - 16 a^8 c^4 u v^4 w^4 x^2 y z^3 +
 46 a^6 b^2 c^4 u v^4 w^4 x^2 y z^3 +
 46 a^4 b^4 c^4 u v^4 w^4 x^2 y z^3 -
 82 a^2 b^6 c^4 u v^4 w^4 x^2 y z^3 -
 90 b^8 c^4 u v^4 w^4 x^2 y z^3 - 6 a^6 c^6 u v^4 w^4 x^2 y z^3 -
 20 a^4 b^2 c^6 u v^4 w^4 x^2 y z^3 +
 98 a^2 b^4 c^6 u v^4 w^4 x^2 y z^3 +
 120 b^6 c^6 u v^4 w^4 x^2 y z^3 - a^4 c^8 u v^4 w^4 x^2 y z^3 -
 57 a^2 b^2 c^8 u v^4 w^4 x^2 y z^3 -
 90 b^4 c^8 u v^4 w^4 x^2 y z^3 + 13 a^2 c^10 u v^4 w^4 x^2 y z^3 +
 36 b^2 c^10 u v^4 w^4 x^2 y z^3 - 6 c^12 u v^4 w^4 x^2 y z^3 +
 2 a^12 v^5 w^4 x^2 y z^3 - 2 a^10 b^2 v^5 w^4 x^2 y z^3 -
 2 a^8 b^4 v^5 w^4 x^2 y z^3 + 2 a^6 b^6 v^5 w^4 x^2 y z^3 -
 2 a^10 c^2 v^5 w^4 x^2 y z^3 + 8 a^8 b^2 c^2 v^5 w^4 x^2 y z^3 +
 6 a^6 b^4 c^2 v^5 w^4 x^2 y z^3 + 4 a^4 b^6 c^2 v^5 w^4 x^2 y z^3 -
 6 a^8 c^4 v^5 w^4 x^2 y z^3 - 18 a^6 b^2 c^4 v^5 w^4 x^2 y z^3 -
 12 a^4 b^4 c^4 v^5 w^4 x^2 y z^3 + 10 a^6 c^6 v^5 w^4 x^2 y z^3 +
 12 a^4 b^2 c^6 v^5 w^4 x^2 y z^3 - 4 a^4 c^8 v^5 w^4 x^2 y z^3 +
 7 a^10 b^2 u^3 v w^5 x^2 y z^3 + 9 a^8 b^4 u^3 v w^5 x^2 y z^3 +
 28 a^6 b^6 u^3 v w^5 x^2 y z^3 - 8 a^4 b^8 u^3 v w^5 x^2 y z^3 -
 27 a^2 b^10 u^3 v w^5 x^2 y z^3 - 9 b^12 u^3 v w^5 x^2 y z^3 -
 35 a^8 b^2 c^2 u^3 v w^5 x^2 y z^3 -
 46 a^6 b^4 c^2 u^3 v w^5 x^2 y z^3 -
 22 a^4 b^6 c^2 u^3 v w^5 x^2 y z^3 +
 58 a^2 b^8 c^2 u^3 v w^5 x^2 y z^3 +
 29 b^10 c^2 u^3 v w^5 x^2 y z^3 +
 70 a^6 b^2 c^4 u^3 v w^5 x^2 y z^3 +
 84 a^4 b^4 c^4 u^3 v w^5 x^2 y z^3 -
 26 b^8 c^4 u^3 v w^5 x^2 y z^3 -
 70 a^4 b^2 c^6 u^3 v w^5 x^2 y z^3 -
 66 a^2 b^4 c^6 u^3 v w^5 x^2 y z^3 - 6 b^6 c^6 u^3 v w^5 x^2 y z^3 +
 35 a^2 b^2 c^8 u^3 v w^5 x^2 y z^3 +
 19 b^4 c^8 u^3 v w^5 x^2 y z^3 - 7 b^2 c^10 u^3 v w^5 x^2 y z^3 +
 a^12 u^2 v^2 w^5 x^2 y z^3 + 17 a^10 b^2 u^2 v^2 w^5 x^2 y z^3 +
 46 a^8 b^4 u^2 v^2 w^5 x^2 y z^3 - 2 a^6 b^6 u^2 v^2 w^5 x^2 y z^3 -
 19 a^4 b^8 u^2 v^2 w^5 x^2 y z^3 -
 39 a^2 b^10 u^2 v^2 w^5 x^2 y z^3 - 4 b^12 u^2 v^2 w^5 x^2 y z^3 -
 6 a^10 c^2 u^2 v^2 w^5 x^2 y z^3 -
 69 a^8 b^2 c^2 u^2 v^2 w^5 x^2 y z^3 -
 100 a^6 b^4 c^2 u^2 v^2 w^5 x^2 y z^3 +
 26 a^4 b^6 c^2 u^2 v^2 w^5 x^2 y z^3 +
 114 a^2 b^8 c^2 u^2 v^2 w^5 x^2 y z^3 +
 19 b^10 c^2 u^2 v^2 w^5 x^2 y z^3 +
 15 a^8 c^4 u^2 v^2 w^5 x^2 y z^3 +
 106 a^6 b^2 c^4 u^2 v^2 w^5 x^2 y z^3 +
 52 a^4 b^4 c^4 u^2 v^2 w^5 x^2 y z^3 -
 102 a^2 b^6 c^4 u^2 v^2 w^5 x^2 y z^3 -
 35 b^8 c^4 u^2 v^2 w^5 x^2 y z^3 -
 20 a^6 c^6 u^2 v^2 w^5 x^2 y z^3 -
 74 a^4 b^2 c^6 u^2 v^2 w^5 x^2 y z^3 +
 12 a^2 b^4 c^6 u^2 v^2 w^5 x^2 y z^3 +
 30 b^6 c^6 u^2 v^2 w^5 x^2 y z^3 +
 15 a^4 c^8 u^2 v^2 w^5 x^2 y z^3 +
 21 a^2 b^2 c^8 u^2 v^2 w^5 x^2 y z^3 -
 10 b^4 c^8 u^2 v^2 w^5 x^2 y z^3 - 6 a^2 c^10 u^2 v^2 w^5 x^2 y z^3 -
  b^2 c^10 u^2 v^2 w^5 x^2 y z^3 + c^12 u^2 v^2 w^5 x^2 y z^3 +
 a^12 u v^3 w^5 x^2 y z^3 + 5 a^10 b^2 u v^3 w^5 x^2 y z^3 +
 22 a^8 b^4 u v^3 w^5 x^2 y z^3 - 24 a^6 b^6 u v^3 w^5 x^2 y z^3 +
 3 a^4 b^8 u v^3 w^5 x^2 y z^3 - 5 a^2 b^10 u v^3 w^5 x^2 y z^3 -
 2 b^12 u v^3 w^5 x^2 y z^3 - 3 a^10 c^2 u v^3 w^5 x^2 y z^3 -
 10 a^8 b^2 c^2 u v^3 w^5 x^2 y z^3 -
 22 a^6 b^4 c^2 u v^3 w^5 x^2 y z^3 +
 10 a^4 b^6 c^2 u v^3 w^5 x^2 y z^3 +
 29 a^2 b^8 c^2 u v^3 w^5 x^2 y z^3 +
 12 b^10 c^2 u v^3 w^5 x^2 y z^3 -
 12 a^6 b^2 c^4 u v^3 w^5 x^2 y z^3 -
 44 a^4 b^4 c^4 u v^3 w^5 x^2 y z^3 -
 66 a^2 b^6 c^4 u v^3 w^5 x^2 y z^3 -
 30 b^8 c^4 u v^3 w^5 x^2 y z^3 + 10 a^6 c^6 u v^3 w^5 x^2 y z^3 +
 46 a^4 b^2 c^6 u v^3 w^5 x^2 y z^3 +
 74 a^2 b^4 c^6 u v^3 w^5 x^2 y z^3 +
 40 b^6 c^6 u v^3 w^5 x^2 y z^3 - 15 a^4 c^8 u v^3 w^5 x^2 y z^3 -
 41 a^2 b^2 c^8 u v^3 w^5 x^2 y z^3 -
 30 b^4 c^8 u v^3 w^5 x^2 y z^3 + 9 a^2 c^10 u v^3 w^5 x^2 y z^3 +
 12 b^2 c^10 u v^3 w^5 x^2 y z^3 - 2 c^12 u v^3 w^5 x^2 y z^3 -
 3 a^12 v^4 w^5 x^2 y z^3 - 8 a^10 b^2 v^4 w^5 x^2 y z^3 -
 2 a^8 b^4 v^4 w^5 x^2 y z^3 + 8 a^6 b^6 v^4 w^5 x^2 y z^3 +
 5 a^4 b^8 v^4 w^5 x^2 y z^3 + 12 a^10 c^2 v^4 w^5 x^2 y z^3 +
 20 a^8 b^2 c^2 v^4 w^5 x^2 y z^3 - 4 a^6 b^4 c^2 v^4 w^5 x^2 y z^3 -
 12 a^4 b^6 c^2 v^4 w^5 x^2 y z^3 - 18 a^8 c^4 v^4 w^5 x^2 y z^3 -
 16 a^6 b^2 c^4 v^4 w^5 x^2 y z^3 + 6 a^4 b^4 c^4 v^4 w^5 x^2 y z^3 +
 12 a^6 c^6 v^4 w^5 x^2 y z^3 + 4 a^4 b^2 c^6 v^4 w^5 x^2 y z^3 -
 3 a^4 c^8 v^4 w^5 x^2 y z^3 - a^8 b^4 u^3 w^6 x^2 y z^3 -
 4 a^6 b^6 u^3 w^6 x^2 y z^3 - 6 a^4 b^8 u^3 w^6 x^2 y z^3 -
 4 a^2 b^10 u^3 w^6 x^2 y z^3 - b^12 u^3 w^6 x^2 y z^3 +
 4 a^6 b^4 c^2 u^3 w^6 x^2 y z^3 + 12 a^4 b^6 c^2 u^3 w^6 x^2 y z^3 +
 12 a^2 b^8 c^2 u^3 w^6 x^2 y z^3 + 4 b^10 c^2 u^3 w^6 x^2 y z^3 -
 6 a^4 b^4 c^4 u^3 w^6 x^2 y z^3 - 12 a^2 b^6 c^4 u^3 w^6 x^2 y z^3 -
 6 b^8 c^4 u^3 w^6 x^2 y z^3 + 4 a^2 b^4 c^6 u^3 w^6 x^2 y z^3 +
 4 b^6 c^6 u^3 w^6 x^2 y z^3 - b^4 c^8 u^3 w^6 x^2 y z^3 +
 a^10 b^2 u^2 v w^6 x^2 y z^3 - a^8 b^4 u^2 v w^6 x^2 y z^3 -
 a^2 b^10 u^2 v w^6 x^2 y z^3 + b^12 u^2 v w^6 x^2 y z^3 -
 5 a^8 b^2 c^2 u^2 v w^6 x^2 y z^3 -
 2 a^6 b^4 c^2 u^2 v w^6 x^2 y z^3 -
 2 a^4 b^6 c^2 u^2 v w^6 x^2 y z^3 -
 2 a^2 b^8 c^2 u^2 v w^6 x^2 y z^3 - 5 b^10 c^2 u^2 v w^6 x^2 y z^3 +
 10 a^6 b^2 c^4 u^2 v w^6 x^2 y z^3 +
 12 a^4 b^4 c^4 u^2 v w^6 x^2 y z^3 +
 12 a^2 b^6 c^4 u^2 v w^6 x^2 y z^3 +
 10 b^8 c^4 u^2 v w^6 x^2 y z^3 -
 10 a^4 b^2 c^6 u^2 v w^6 x^2 y z^3 -
 14 a^2 b^4 c^6 u^2 v w^6 x^2 y z^3 -
 10 b^6 c^6 u^2 v w^6 x^2 y z^3 + 5 a^2 b^2 c^8 u^2 v w^6 x^2 y z^3 +
 5 b^4 c^8 u^2 v w^6 x^2 y z^3 - b^2 c^10 u^2 v w^6 x^2 y z^3 +
 2 a^10 b^2 u v^2 w^6 x^2 y z^3 + 16 a^8 b^4 u v^2 w^6 x^2 y z^3 +
 12 a^6 b^6 u v^2 w^6 x^2 y z^3 + 16 a^4 b^8 u v^2 w^6 x^2 y z^3 +
 2 a^2 b^10 u v^2 w^6 x^2 y z^3 - 8 a^8 b^2 c^2 u v^2 w^6 x^2 y z^3 -
 40 a^6 b^4 c^2 u v^2 w^6 x^2 y z^3 -
 40 a^4 b^6 c^2 u v^2 w^6 x^2 y z^3 -
 8 a^2 b^8 c^2 u v^2 w^6 x^2 y z^3 +
 12 a^6 b^2 c^4 u v^2 w^6 x^2 y z^3 +
 32 a^4 b^4 c^4 u v^2 w^6 x^2 y z^3 +
 12 a^2 b^6 c^4 u v^2 w^6 x^2 y z^3 -
 8 a^4 b^2 c^6 u v^2 w^6 x^2 y z^3 -
 8 a^2 b^4 c^6 u v^2 w^6 x^2 y z^3 +
 2 a^2 b^2 c^8 u v^2 w^6 x^2 y z^3 + 4 a^10 b^2 v^3 w^6 x^2 y z^3 +
 12 a^8 b^4 v^3 w^6 x^2 y z^3 + 12 a^6 b^6 v^3 w^6 x^2 y z^3 +
 4 a^4 b^8 v^3 w^6 x^2 y z^3 - 12 a^8 b^2 c^2 v^3 w^6 x^2 y z^3 -
 24 a^6 b^4 c^2 v^3 w^6 x^2 y z^3 -
 12 a^4 b^6 c^2 v^3 w^6 x^2 y z^3 +
 12 a^6 b^2 c^4 v^3 w^6 x^2 y z^3 +
 12 a^4 b^4 c^4 v^3 w^6 x^2 y z^3 - 4 a^4 b^2 c^6 v^3 w^6 x^2 y z^3 +
 a^8 c^4 u^6 v^3 x y^2 z^3 + 4 a^6 b^2 c^4 u^6 v^3 x y^2 z^3 -
 6 a^4 b^4 c^4 u^6 v^3 x y^2 z^3 - 4 a^2 b^6 c^4 u^6 v^3 x y^2 z^3 +
 5 b^8 c^4 u^6 v^3 x y^2 z^3 - 4 a^6 c^6 u^6 v^3 x y^2 z^3 -
 4 a^4 b^2 c^6 u^6 v^3 x y^2 z^3 + 12 a^2 b^4 c^6 u^6 v^3 x y^2 z^3 -
 4 b^6 c^6 u^6 v^3 x y^2 z^3 + 6 a^4 c^8 u^6 v^3 x y^2 z^3 -
 4 a^2 b^2 c^8 u^6 v^3 x y^2 z^3 - 6 b^4 c^8 u^6 v^3 x y^2 z^3 -
 4 a^2 c^10 u^6 v^3 x y^2 z^3 + 4 b^2 c^10 u^6 v^3 x y^2 z^3 +
 c^12 u^6 v^3 x y^2 z^3 + 7 a^8 c^4 u^5 v^4 x y^2 z^3 +
 2 a^6 b^2 c^4 u^5 v^4 x y^2 z^3 - 24 a^4 b^4 c^4 u^5 v^4 x y^2 z^3 +
 14 a^2 b^6 c^4 u^5 v^4 x y^2 z^3 + b^8 c^4 u^5 v^4 x y^2 z^3 -
 18 a^6 c^6 u^5 v^4 x y^2 z^3 + 12 a^4 b^2 c^6 u^5 v^4 x y^2 z^3 +
 6 a^2 b^4 c^6 u^5 v^4 x y^2 z^3 + 12 a^4 c^8 u^5 v^4 x y^2 z^3 -
 22 a^2 b^2 c^8 u^5 v^4 x y^2 z^3 - 6 b^4 c^8 u^5 v^4 x y^2 z^3 +
 2 a^2 c^10 u^5 v^4 x y^2 z^3 + 8 b^2 c^10 u^5 v^4 x y^2 z^3 -
 3 c^12 u^5 v^4 x y^2 z^3 + 11 a^8 c^4 u^4 v^5 x y^2 z^3 -
 20 a^6 b^2 c^4 u^4 v^5 x y^2 z^3 + 6 a^4 b^4 c^4 u^4 v^5 x y^2 z^3 +
 4 a^2 b^6 c^4 u^4 v^5 x y^2 z^3 - b^8 c^4 u^4 v^5 x y^2 z^3 -
 16 a^6 c^6 u^4 v^5 x y^2 z^3 + 12 a^4 b^2 c^6 u^4 v^5 x y^2 z^3 +
 4 b^6 c^6 u^4 v^5 x y^2 z^3 - 2 a^4 c^8 u^4 v^5 x y^2 z^3 -
 12 a^2 b^2 c^8 u^4 v^5 x y^2 z^3 - 6 b^4 c^8 u^4 v^5 x y^2 z^3 +
 8 a^2 c^10 u^4 v^5 x y^2 z^3 + 4 b^2 c^10 u^4 v^5 x y^2 z^3 -
 c^12 u^4 v^5 x y^2 z^3 + 2 a^8 c^4 u^3 v^6 x y^2 z^3 -
 6 a^6 b^2 c^4 u^3 v^6 x y^2 z^3 + 6 a^4 b^4 c^4 u^3 v^6 x y^2 z^3 -
 2 a^2 b^6 c^4 u^3 v^6 x y^2 z^3 - 2 a^6 c^6 u^3 v^6 x y^2 z^3 -
 4 a^4 b^2 c^6 u^3 v^6 x y^2 z^3 + 6 a^2 b^4 c^6 u^3 v^6 x y^2 z^3 -
 2 a^4 c^8 u^3 v^6 x y^2 z^3 - 6 a^2 b^2 c^8 u^3 v^6 x y^2 z^3 +
 2 a^2 c^10 u^3 v^6 x y^2 z^3 - 2 a^12 u^6 v^2 w x y^2 z^3 +
 12 a^10 b^2 u^6 v^2 w x y^2 z^3 - 30 a^8 b^4 u^6 v^2 w x y^2 z^3 +
 40 a^6 b^6 u^6 v^2 w x y^2 z^3 - 30 a^4 b^8 u^6 v^2 w x y^2 z^3 +
 12 a^2 b^10 u^6 v^2 w x y^2 z^3 - 2 b^12 u^6 v^2 w x y^2 z^3 +
 7 a^10 c^2 u^6 v^2 w x y^2 z^3 -
 31 a^8 b^2 c^2 u^6 v^2 w x y^2 z^3 +
 44 a^6 b^4 c^2 u^6 v^2 w x y^2 z^3 -
 16 a^4 b^6 c^2 u^6 v^2 w x y^2 z^3 -
 11 a^2 b^8 c^2 u^6 v^2 w x y^2 z^3 +
 7 b^10 c^2 u^6 v^2 w x y^2 z^3 - 5 a^8 c^4 u^6 v^2 w x y^2 z^3 +
 16 a^6 b^2 c^4 u^6 v^2 w x y^2 z^3 -
 24 a^4 b^4 c^4 u^6 v^2 w x y^2 z^3 +
 12 a^2 b^6 c^4 u^6 v^2 w x y^2 z^3 + b^8 c^4 u^6 v^2 w x y^2 z^3 -
 10 a^6 c^6 u^6 v^2 w x y^2 z^3 +
 18 a^4 b^2 c^6 u^6 v^2 w x y^2 z^3 +
 20 a^2 b^4 c^6 u^6 v^2 w x y^2 z^3 - 4 b^6 c^6 u^6 v^2 w x y^2 z^3 +
 20 a^4 c^8 u^6 v^2 w x y^2 z^3 -
 20 a^2 b^2 c^8 u^6 v^2 w x y^2 z^3 -
 10 b^4 c^8 u^6 v^2 w x y^2 z^3 - 13 a^2 c^10 u^6 v^2 w x y^2 z^3 +
 5 b^2 c^10 u^6 v^2 w x y^2 z^3 + 3 c^12 u^6 v^2 w x y^2 z^3 -
 4 a^12 u^5 v^3 w x y^2 z^3 + 27 a^10 b^2 u^5 v^3 w x y^2 z^3 -
 75 a^8 b^4 u^5 v^3 w x y^2 z^3 + 110 a^6 b^6 u^5 v^3 w x y^2 z^3 -
 90 a^4 b^8 u^5 v^3 w x y^2 z^3 + 39 a^2 b^10 u^5 v^3 w x y^2 z^3 -
 7 b^12 u^5 v^3 w x y^2 z^3 + 8 a^10 c^2 u^5 v^3 w x y^2 z^3 -
 33 a^8 b^2 c^2 u^5 v^3 w x y^2 z^3 +
 40 a^6 b^4 c^2 u^5 v^3 w x y^2 z^3 -
 2 a^4 b^6 c^2 u^5 v^3 w x y^2 z^3 -
 24 a^2 b^8 c^2 u^5 v^3 w x y^2 z^3 +
 11 b^10 c^2 u^5 v^3 w x y^2 z^3 + 8 a^8 c^4 u^5 v^3 w x y^2 z^3 -
 16 a^6 b^2 c^4 u^5 v^3 w x y^2 z^3 +
 20 a^4 b^4 c^4 u^5 v^3 w x y^2 z^3 -
 8 a^2 b^6 c^4 u^5 v^3 w x y^2 z^3 - 4 b^8 c^4 u^5 v^3 w x y^2 z^3 -
 32 a^6 c^6 u^5 v^3 w x y^2 z^3 +
 36 a^4 b^2 c^6 u^5 v^3 w x y^2 z^3 +
 28 a^2 b^4 c^6 u^5 v^3 w x y^2 z^3 +
 16 b^6 c^6 u^5 v^3 w x y^2 z^3 + 28 a^4 c^8 u^5 v^3 w x y^2 z^3 -
 27 a^2 b^2 c^8 u^5 v^3 w x y^2 z^3 -
 29 b^4 c^8 u^5 v^3 w x y^2 z^3 - 8 a^2 c^10 u^5 v^3 w x y^2 z^3 +
 13 b^2 c^10 u^5 v^3 w x y^2 z^3 + a^12 u^4 v^4 w x y^2 z^3 +
 3 a^10 b^2 u^4 v^4 w x y^2 z^3 - 30 a^8 b^4 u^4 v^4 w x y^2 z^3 +
 70 a^6 b^6 u^4 v^4 w x y^2 z^3 - 75 a^4 b^8 u^4 v^4 w x y^2 z^3 +
 39 a^2 b^10 u^4 v^4 w x y^2 z^3 - 8 b^12 u^4 v^4 w x y^2 z^3 +
 23 a^8 b^2 c^2 u^4 v^4 w x y^2 z^3 -
 92 a^6 b^4 c^2 u^4 v^4 w x y^2 z^3 +
 138 a^4 b^6 c^2 u^4 v^4 w x y^2 z^3 -
 92 a^2 b^8 c^2 u^4 v^4 w x y^2 z^3 +
 23 b^10 c^2 u^4 v^4 w x y^2 z^3 + 14 a^8 c^4 u^4 v^4 w x y^2 z^3 +
 14 a^6 b^2 c^4 u^4 v^4 w x y^2 z^3 -
 42 a^4 b^4 c^4 u^4 v^4 w x y^2 z^3 +
 34 a^2 b^6 c^4 u^4 v^4 w x y^2 z^3 -
 20 b^8 c^4 u^4 v^4 w x y^2 z^3 - 44 a^6 c^6 u^4 v^4 w x y^2 z^3 -
 22 a^4 b^2 c^6 u^4 v^4 w x y^2 z^3 +
 56 a^2 b^4 c^6 u^4 v^4 w x y^2 z^3 +
 10 b^6 c^6 u^4 v^4 w x y^2 z^3 + 33 a^4 c^8 u^4 v^4 w x y^2 z^3 -
 41 a^2 b^2 c^8 u^4 v^4 w x y^2 z^3 -
 20 b^4 c^8 u^4 v^4 w x y^2 z^3 + 4 a^2 c^10 u^4 v^4 w x y^2 z^3 +
 23 b^2 c^10 u^4 v^4 w x y^2 z^3 - 8 c^12 u^4 v^4 w x y^2 z^3 +
 6 a^12 u^3 v^5 w x y^2 z^3 - 27 a^10 b^2 u^3 v^5 w x y^2 z^3 +
 45 a^8 b^4 u^3 v^5 w x y^2 z^3 - 30 a^6 b^6 u^3 v^5 w x y^2 z^3 +
 9 a^2 b^10 u^3 v^5 w x y^2 z^3 - 3 b^12 u^3 v^5 w x y^2 z^3 +
 8 a^10 c^2 u^3 v^5 w x y^2 z^3 -
 23 a^8 b^2 c^2 u^3 v^5 w x y^2 z^3 +
 8 a^6 b^4 c^2 u^3 v^5 w x y^2 z^3 +
 34 a^4 b^6 c^2 u^3 v^5 w x y^2 z^3 -
 40 a^2 b^8 c^2 u^3 v^5 w x y^2 z^3 +
 13 b^10 c^2 u^3 v^5 w x y^2 z^3 + 8 a^8 c^4 u^3 v^5 w x y^2 z^3 +
 16 a^6 b^2 c^4 u^3 v^5 w x y^2 z^3 -
 60 a^4 b^4 c^4 u^3 v^5 w x y^2 z^3 +
 56 a^2 b^6 c^4 u^3 v^5 w x y^2 z^3 -
 20 b^8 c^4 u^3 v^5 w x y^2 z^3 - 50 a^6 c^6 u^3 v^5 w x y^2 z^3 +
 10 a^4 b^2 c^6 u^3 v^5 w x y^2 z^3 -
 18 a^2 b^4 c^6 u^3 v^5 w x y^2 z^3 +
 10 b^6 c^6 u^3 v^5 w x y^2 z^3 + 16 a^4 c^8 u^3 v^5 w x y^2 z^3 -
 17 a^2 b^2 c^8 u^3 v^5 w x y^2 z^3 + 5 b^4 c^8 u^3 v^5 w x y^2 z^3 +
 10 a^2 c^10 u^3 v^5 w x y^2 z^3 - 7 b^2 c^10 u^3 v^5 w x y^2 z^3 +
 2 c^12 u^3 v^5 w x y^2 z^3 + 3 a^12 u^2 v^6 w x y^2 z^3 -
 15 a^10 b^2 u^2 v^6 w x y^2 z^3 + 30 a^8 b^4 u^2 v^6 w x y^2 z^3 -
 30 a^6 b^6 u^2 v^6 w x y^2 z^3 + 15 a^4 b^8 u^2 v^6 w x y^2 z^3 -
 3 a^2 b^10 u^2 v^6 w x y^2 z^3 + 3 a^10 c^2 u^2 v^6 w x y^2 z^3 -
 18 a^8 b^2 c^2 u^2 v^6 w x y^2 z^3 +
 36 a^6 b^4 c^2 u^2 v^6 w x y^2 z^3 -
 30 a^4 b^6 c^2 u^2 v^6 w x y^2 z^3 +
 9 a^2 b^8 c^2 u^2 v^6 w x y^2 z^3 -
 14 a^6 b^2 c^4 u^2 v^6 w x y^2 z^3 +
 20 a^4 b^4 c^4 u^2 v^6 w x y^2 z^3 -
 6 a^2 b^6 c^4 u^2 v^6 w x y^2 z^3 - 8 a^6 c^6 u^2 v^6 w x y^2 z^3 -
 10 a^4 b^2 c^6 u^2 v^6 w x y^2 z^3 -
 6 a^2 b^4 c^6 u^2 v^6 w x y^2 z^3 + 5 a^4 c^8 u^2 v^6 w x y^2 z^3 +
 9 a^2 b^2 c^8 u^2 v^6 w x y^2 z^3 - 3 a^2 c^10 u^2 v^6 w x y^2 z^3 +
 2 a^12 u^6 v w^2 x y^2 z^3 - 7 a^10 b^2 u^6 v w^2 x y^2 z^3 +
 5 a^8 b^4 u^6 v w^2 x y^2 z^3 + 10 a^6 b^6 u^6 v w^2 x y^2 z^3 -
 20 a^4 b^8 u^6 v w^2 x y^2 z^3 + 13 a^2 b^10 u^6 v w^2 x y^2 z^3 -
 3 b^12 u^6 v w^2 x y^2 z^3 - 12 a^10 c^2 u^6 v w^2 x y^2 z^3 +
 29 a^8 b^2 c^2 u^6 v w^2 x y^2 z^3 -
 8 a^6 b^4 c^2 u^6 v w^2 x y^2 z^3 -
 14 a^4 b^6 c^2 u^6 v w^2 x y^2 z^3 -
 4 a^2 b^8 c^2 u^6 v w^2 x y^2 z^3 + 9 b^10 c^2 u^6 v w^2 x y^2 z^3 +
 30 a^8 c^4 u^6 v w^2 x y^2 z^3 -
 46 a^6 b^2 c^4 u^6 v w^2 x y^2 z^3 -
 2 a^4 b^4 c^4 u^6 v w^2 x y^2 z^3 +
 6 a^2 b^6 c^4 u^6 v w^2 x y^2 z^3 - 4 b^8 c^4 u^6 v w^2 x y^2 z^3 -
 40 a^6 c^6 u^6 v w^2 x y^2 z^3 +
 34 a^4 b^2 c^6 u^6 v w^2 x y^2 z^3 +
 8 a^2 b^4 c^6 u^6 v w^2 x y^2 z^3 - 2 b^6 c^6 u^6 v w^2 x y^2 z^3 +
 30 a^4 c^8 u^6 v w^2 x y^2 z^3 -
 11 a^2 b^2 c^8 u^6 v w^2 x y^2 z^3 - 3 b^4 c^8 u^6 v w^2 x y^2 z^3 -
 12 a^2 c^10 u^6 v w^2 x y^2 z^3 + b^2 c^10 u^6 v w^2 x y^2 z^3 +
 2 c^12 u^6 v w^2 x y^2 z^3 - 2 a^12 u^5 v^2 w^2 x y^2 z^3 +
 9 a^10 b^2 u^5 v^2 w^2 x y^2 z^3 -
 32 a^8 b^4 u^5 v^2 w^2 x y^2 z^3 +
 78 a^6 b^6 u^5 v^2 w^2 x y^2 z^3 -
 102 a^4 b^8 u^5 v^2 w^2 x y^2 z^3 +
 65 a^2 b^10 u^5 v^2 w^2 x y^2 z^3 - 16 b^12 u^5 v^2 w^2 x y^2 z^3 +
 a^10 c^2 u^5 v^2 w^2 x y^2 z^3 -
 20 a^8 b^2 c^2 u^5 v^2 w^2 x y^2 z^3 +
 18 a^6 b^4 c^2 u^5 v^2 w^2 x y^2 z^3 +
 44 a^4 b^6 c^2 u^5 v^2 w^2 x y^2 z^3 -
 67 a^2 b^8 c^2 u^5 v^2 w^2 x y^2 z^3 +
 24 b^10 c^2 u^5 v^2 w^2 x y^2 z^3 +
 25 a^8 c^4 u^5 v^2 w^2 x y^2 z^3 +
 4 a^6 b^2 c^4 u^5 v^2 w^2 x y^2 z^3 -
 48 a^4 b^4 c^4 u^5 v^2 w^2 x y^2 z^3 -
 40 a^2 b^6 c^4 u^5 v^2 w^2 x y^2 z^3 -
 5 b^8 c^4 u^5 v^2 w^2 x y^2 z^3 - 70 a^6 c^6 u^5 v^2 w^2 x y^2 z^3 +
 18 a^4 b^2 c^6 u^5 v^2 w^2 x y^2 z^3 +
 98 a^2 b^4 c^6 u^5 v^2 w^2 x y^2 z^3 +
 22 b^6 c^6 u^5 v^2 w^2 x y^2 z^3 +
 80 a^4 c^8 u^5 v^2 w^2 x y^2 z^3 -
 13 a^2 b^2 c^8 u^5 v^2 w^2 x y^2 z^3 -
 36 b^4 c^8 u^5 v^2 w^2 x y^2 z^3 -
 43 a^2 c^10 u^5 v^2 w^2 x y^2 z^3 +
 2 b^2 c^10 u^5 v^2 w^2 x y^2 z^3 + 9 c^12 u^5 v^2 w^2 x y^2 z^3 -
 13 a^12 u^4 v^3 w^2 x y^2 z^3 + 48 a^10 b^2 u^4 v^3 w^2 x y^2 z^3 -
 75 a^8 b^4 u^4 v^3 w^2 x y^2 z^3 +
 80 a^6 b^6 u^4 v^3 w^2 x y^2 z^3 -
 75 a^4 b^8 u^4 v^3 w^2 x y^2 z^3 +
 48 a^2 b^10 u^4 v^3 w^2 x y^2 z^3 - 13 b^12 u^4 v^3 w^2 x y^2 z^3 +
 19 a^10 c^2 u^4 v^3 w^2 x y^2 z^3 -
 95 a^8 b^2 c^2 u^4 v^3 w^2 x y^2 z^3 +
 94 a^6 b^4 c^2 u^4 v^3 w^2 x y^2 z^3 +
 66 a^4 b^6 c^2 u^4 v^3 w^2 x y^2 z^3 -
 129 a^2 b^8 c^2 u^4 v^3 w^2 x y^2 z^3 +
 45 b^10 c^2 u^4 v^3 w^2 x y^2 z^3 +
 47 a^8 c^4 u^4 v^3 w^2 x y^2 z^3 +
 32 a^6 b^2 c^4 u^4 v^3 w^2 x y^2 z^3 -
 118 a^4 b^4 c^4 u^4 v^3 w^2 x y^2 z^3 +
 48 a^2 b^6 c^4 u^4 v^3 w^2 x y^2 z^3 -
 57 b^8 c^4 u^4 v^3 w^2 x y^2 z^3 -
 118 a^6 c^6 u^4 v^3 w^2 x y^2 z^3 +
 50 a^4 b^2 c^6 u^4 v^3 w^2 x y^2 z^3 +
 94 a^2 b^4 c^6 u^4 v^3 w^2 x y^2 z^3 +
 38 b^6 c^6 u^4 v^3 w^2 x y^2 z^3 +
 77 a^4 c^8 u^4 v^3 w^2 x y^2 z^3 -
 56 a^2 b^2 c^8 u^4 v^3 w^2 x y^2 z^3 -
 27 b^4 c^8 u^4 v^3 w^2 x y^2 z^3 -
 5 a^2 c^10 u^4 v^3 w^2 x y^2 z^3 +
 21 b^2 c^10 u^4 v^3 w^2 x y^2 z^3 - 7 c^12 u^4 v^3 w^2 x y^2 z^3 -
 4 a^12 u^3 v^4 w^2 x y^2 z^3 + 21 a^10 b^2 u^3 v^4 w^2 x y^2 z^3 -
 45 a^8 b^4 u^3 v^4 w^2 x y^2 z^3 +
 50 a^6 b^6 u^3 v^4 w^2 x y^2 z^3 -
 30 a^4 b^8 u^3 v^4 w^2 x y^2 z^3 + 9 a^2 b^10 u^3 v^4 w^2 x y^2 z^3 -
  b^12 u^3 v^4 w^2 x y^2 z^3 - 9 a^10 c^2 u^3 v^4 w^2 x y^2 z^3 +
 34 a^8 b^2 c^2 u^3 v^4 w^2 x y^2 z^3 -
 38 a^6 b^4 c^2 u^3 v^4 w^2 x y^2 z^3 +
 16 a^4 b^6 c^2 u^3 v^4 w^2 x y^2 z^3 -
 9 a^2 b^8 c^2 u^3 v^4 w^2 x y^2 z^3 +
 6 b^10 c^2 u^3 v^4 w^2 x y^2 z^3 +
 59 a^8 c^4 u^3 v^4 w^2 x y^2 z^3 -
 10 a^6 b^2 c^4 u^3 v^4 w^2 x y^2 z^3 +
 20 a^4 b^4 c^4 u^3 v^4 w^2 x y^2 z^3 -
 22 a^2 b^6 c^4 u^3 v^4 w^2 x y^2 z^3 -
 15 b^8 c^4 u^3 v^4 w^2 x y^2 z^3 -
 82 a^6 c^6 u^3 v^4 w^2 x y^2 z^3 -
 48 a^4 b^2 c^6 u^3 v^4 w^2 x y^2 z^3 +
 30 a^2 b^4 c^6 u^3 v^4 w^2 x y^2 z^3 +
 20 b^6 c^6 u^3 v^4 w^2 x y^2 z^3 +
 42 a^4 c^8 u^3 v^4 w^2 x y^2 z^3 -
 3 a^2 b^2 c^8 u^3 v^4 w^2 x y^2 z^3 -
 15 b^4 c^8 u^3 v^4 w^2 x y^2 z^3 -
 5 a^2 c^10 u^3 v^4 w^2 x y^2 z^3 + 6 b^2 c^10 u^3 v^4 w^2 x y^2 z^3 -
  c^12 u^3 v^4 w^2 x y^2 z^3 + 15 a^12 u^2 v^5 w^2 x y^2 z^3 -
 55 a^10 b^2 u^2 v^5 w^2 x y^2 z^3 +
 72 a^8 b^4 u^2 v^5 w^2 x y^2 z^3 -
 38 a^6 b^6 u^2 v^5 w^2 x y^2 z^3 + 7 a^4 b^8 u^2 v^5 w^2 x y^2 z^3 -
 3 a^2 b^10 u^2 v^5 w^2 x y^2 z^3 + 2 b^12 u^2 v^5 w^2 x y^2 z^3 +
 5 a^10 c^2 u^2 v^5 w^2 x y^2 z^3 +
 4 a^8 b^2 c^2 u^2 v^5 w^2 x y^2 z^3 -
 30 a^6 b^4 c^2 u^2 v^5 w^2 x y^2 z^3 +
 16 a^4 b^6 c^2 u^2 v^5 w^2 x y^2 z^3 +
 17 a^2 b^8 c^2 u^2 v^5 w^2 x y^2 z^3 -
 12 b^10 c^2 u^2 v^5 w^2 x y^2 z^3 -
 8 a^8 c^4 u^2 v^5 w^2 x y^2 z^3 +
 70 a^6 b^2 c^4 u^2 v^5 w^2 x y^2 z^3 -
 22 a^4 b^4 c^4 u^2 v^5 w^2 x y^2 z^3 -
 38 a^2 b^6 c^4 u^2 v^5 w^2 x y^2 z^3 +
 30 b^8 c^4 u^2 v^5 w^2 x y^2 z^3 -
 50 a^6 c^6 u^2 v^5 w^2 x y^2 z^3 -
 32 a^4 b^2 c^6 u^2 v^5 w^2 x y^2 z^3 +
 42 a^2 b^4 c^6 u^2 v^5 w^2 x y^2 z^3 -
 40 b^6 c^6 u^2 v^5 w^2 x y^2 z^3 +
 31 a^4 c^8 u^2 v^5 w^2 x y^2 z^3 -
 23 a^2 b^2 c^8 u^2 v^5 w^2 x y^2 z^3 +
 30 b^4 c^8 u^2 v^5 w^2 x y^2 z^3 +
 5 a^2 c^10 u^2 v^5 w^2 x y^2 z^3 -
 12 b^2 c^10 u^2 v^5 w^2 x y^2 z^3 + 2 c^12 u^2 v^5 w^2 x y^2 z^3 +
 7 a^12 u v^6 w^2 x y^2 z^3 - 26 a^10 b^2 u v^6 w^2 x y^2 z^3 +
 34 a^8 b^4 u v^6 w^2 x y^2 z^3 - 16 a^6 b^6 u v^6 w^2 x y^2 z^3 -
 a^4 b^8 u v^6 w^2 x y^2 z^3 + 2 a^2 b^10 u v^6 w^2 x y^2 z^3 +
 2 a^10 c^2 u v^6 w^2 x y^2 z^3 -
 16 a^8 b^2 c^2 u v^6 w^2 x y^2 z^3 +
 16 a^6 b^4 c^2 u v^6 w^2 x y^2 z^3 +
 8 a^4 b^6 c^2 u v^6 w^2 x y^2 z^3 -
 10 a^2 b^8 c^2 u v^6 w^2 x y^2 z^3 - 2 a^8 c^4 u v^6 w^2 x y^2 z^3 -
 18 a^4 b^4 c^4 u v^6 w^2 x y^2 z^3 +
 20 a^2 b^6 c^4 u v^6 w^2 x y^2 z^3 +
 16 a^4 b^2 c^6 u v^6 w^2 x y^2 z^3 -
 20 a^2 b^4 c^6 u v^6 w^2 x y^2 z^3 - 5 a^4 c^8 u v^6 w^2 x y^2 z^3 +
 10 a^2 b^2 c^8 u v^6 w^2 x y^2 z^3 - 2 a^2 c^10 u v^6 w^2 x y^2 z^3 +
  a^8 b^4 u^6 w^3 x y^2 z^3 - 2 a^6 b^6 u^6 w^3 x y^2 z^3 +
 2 a^2 b^10 u^6 w^3 x y^2 z^3 - b^12 u^6 w^3 x y^2 z^3 -
 4 a^6 b^4 c^2 u^6 w^3 x y^2 z^3 + 2 a^4 b^6 c^2 u^6 w^3 x y^2 z^3 +
 2 b^10 c^2 u^6 w^3 x y^2 z^3 + 6 a^4 b^4 c^4 u^6 w^3 x y^2 z^3 +
 2 a^2 b^6 c^4 u^6 w^3 x y^2 z^3 - 4 a^2 b^4 c^6 u^6 w^3 x y^2 z^3 -
 2 b^6 c^6 u^6 w^3 x y^2 z^3 + b^4 c^8 u^6 w^3 x y^2 z^3 +
 6 a^12 u^5 v w^3 x y^2 z^3 - 9 a^10 b^2 u^5 v w^3 x y^2 z^3 -
 3 a^8 b^4 u^5 v w^3 x y^2 z^3 + 14 a^6 b^6 u^5 v w^3 x y^2 z^3 -
 24 a^4 b^8 u^5 v w^3 x y^2 z^3 + 27 a^2 b^10 u^5 v w^3 x y^2 z^3 -
 11 b^12 u^5 v w^3 x y^2 z^3 - 36 a^10 c^2 u^5 v w^3 x y^2 z^3 +
 33 a^8 b^2 c^2 u^5 v w^3 x y^2 z^3 +
 38 a^6 b^4 c^2 u^5 v w^3 x y^2 z^3 -
 50 a^2 b^8 c^2 u^5 v w^3 x y^2 z^3 +
 15 b^10 c^2 u^5 v w^3 x y^2 z^3 + 90 a^8 c^4 u^5 v w^3 x y^2 z^3 -
 42 a^6 b^2 c^4 u^5 v w^3 x y^2 z^3 -
 76 a^4 b^4 c^4 u^5 v w^3 x y^2 z^3 +
 6 a^2 b^6 c^4 u^5 v w^3 x y^2 z^3 + 6 b^8 c^4 u^5 v w^3 x y^2 z^3 -
 120 a^6 c^6 u^5 v w^3 x y^2 z^3 +
 18 a^4 b^2 c^6 u^5 v w^3 x y^2 z^3 +
 50 a^2 b^4 c^6 u^5 v w^3 x y^2 z^3 - 4 b^6 c^6 u^5 v w^3 x y^2 z^3 +
 90 a^4 c^8 u^5 v w^3 x y^2 z^3 + 3 a^2 b^2 c^8 u^5 v w^3 x y^2 z^3 -
 9 b^4 c^8 u^5 v w^3 x y^2 z^3 - 36 a^2 c^10 u^5 v w^3 x y^2 z^3 -
 3 b^2 c^10 u^5 v w^3 x y^2 z^3 + 6 c^12 u^5 v w^3 x y^2 z^3 +
 6 a^12 u^4 v^2 w^3 x y^2 z^3 - 3 a^10 b^2 u^4 v^2 w^3 x y^2 z^3 -
 51 a^8 b^4 u^4 v^2 w^3 x y^2 z^3 +
 110 a^6 b^6 u^4 v^2 w^3 x y^2 z^3 -
 84 a^4 b^8 u^4 v^2 w^3 x y^2 z^3 +
 21 a^2 b^10 u^4 v^2 w^3 x y^2 z^3 + b^12 u^4 v^2 w^3 x y^2 z^3 -
 36 a^10 c^2 u^4 v^2 w^3 x y^2 z^3 +
 17 a^8 b^2 c^2 u^4 v^2 w^3 x y^2 z^3 +
 32 a^6 b^4 c^2 u^4 v^2 w^3 x y^2 z^3 +
 6 a^4 b^6 c^2 u^4 v^2 w^3 x y^2 z^3 -
 28 a^2 b^8 c^2 u^4 v^2 w^3 x y^2 z^3 +
 9 b^10 c^2 u^4 v^2 w^3 x y^2 z^3 +
 90 a^8 c^4 u^4 v^2 w^3 x y^2 z^3 -
 22 a^6 b^2 c^4 u^4 v^2 w^3 x y^2 z^3 -
 38 a^4 b^4 c^4 u^4 v^2 w^3 x y^2 z^3 -
 54 a^2 b^6 c^4 u^4 v^2 w^3 x y^2 z^3 -
 40 b^8 c^4 u^4 v^2 w^3 x y^2 z^3 -
 120 a^6 c^6 u^4 v^2 w^3 x y^2 z^3 -
 6 a^4 b^2 c^6 u^4 v^2 w^3 x y^2 z^3 +
 72 a^2 b^4 c^6 u^4 v^2 w^3 x y^2 z^3 +
 50 b^6 c^6 u^4 v^2 w^3 x y^2 z^3 +
 90 a^4 c^8 u^4 v^2 w^3 x y^2 z^3 +
 25 a^2 b^2 c^8 u^4 v^2 w^3 x y^2 z^3 -
 15 b^4 c^8 u^4 v^2 w^3 x y^2 z^3 -
 36 a^2 c^10 u^4 v^2 w^3 x y^2 z^3 -
 11 b^2 c^10 u^4 v^2 w^3 x y^2 z^3 + 6 c^12 u^4 v^2 w^3 x y^2 z^3 -
 15 a^12 u^3 v^3 w^3 x y^2 z^3 + 5 a^10 b^2 u^3 v^3 w^3 x y^2 z^3 +
 28 a^8 b^4 u^3 v^3 w^3 x y^2 z^3 +
 30 a^6 b^6 u^3 v^3 w^3 x y^2 z^3 -
 83 a^4 b^8 u^3 v^3 w^3 x y^2 z^3 +
 29 a^2 b^10 u^3 v^3 w^3 x y^2 z^3 + 6 b^12 u^3 v^3 w^3 x y^2 z^3 +
 29 a^10 c^2 u^3 v^3 w^3 x y^2 z^3 -
 84 a^8 b^2 c^2 u^3 v^3 w^3 x y^2 z^3 -
 62 a^6 b^4 c^2 u^3 v^3 w^3 x y^2 z^3 +
 156 a^4 b^6 c^2 u^3 v^3 w^3 x y^2 z^3 -
 15 a^2 b^8 c^2 u^3 v^3 w^3 x y^2 z^3 -
 24 b^10 c^2 u^3 v^3 w^3 x y^2 z^3 +
 28 a^8 c^4 u^3 v^3 w^3 x y^2 z^3 +
 150 a^6 b^2 c^4 u^3 v^3 w^3 x y^2 z^3 -
 102 a^4 b^4 c^4 u^3 v^3 w^3 x y^2 z^3 -
 122 a^2 b^6 c^4 u^3 v^3 w^3 x y^2 z^3 +
 30 b^8 c^4 u^3 v^3 w^3 x y^2 z^3 -
 102 a^6 c^6 u^3 v^3 w^3 x y^2 z^3 -
 44 a^4 b^2 c^6 u^3 v^3 w^3 x y^2 z^3 +
 166 a^2 b^4 c^6 u^3 v^3 w^3 x y^2 z^3 +
 73 a^4 c^8 u^3 v^3 w^3 x y^2 z^3 -
 51 a^2 b^2 c^8 u^3 v^3 w^3 x y^2 z^3 -
 30 b^4 c^8 u^3 v^3 w^3 x y^2 z^3 -
 7 a^2 c^10 u^3 v^3 w^3 x y^2 z^3 +
 24 b^2 c^10 u^3 v^3 w^3 x y^2 z^3 - 6 c^12 u^3 v^3 w^3 x y^2 z^3 -
 24 a^12 u^2 v^4 w^3 x y^2 z^3 + 28 a^10 b^2 u^2 v^4 w^3 x y^2 z^3 +
 49 a^8 b^4 u^2 v^4 w^3 x y^2 z^3 -
 78 a^6 b^6 u^2 v^4 w^3 x y^2 z^3 +
 20 a^4 b^8 u^2 v^4 w^3 x y^2 z^3 +
 2 a^2 b^10 u^2 v^4 w^3 x y^2 z^3 + 3 b^12 u^2 v^4 w^3 x y^2 z^3 +
 28 a^10 c^2 u^2 v^4 w^3 x y^2 z^3 -
 68 a^8 b^2 c^2 u^2 v^4 w^3 x y^2 z^3 +
 56 a^6 b^4 c^2 u^2 v^4 w^3 x y^2 z^3 +
 2 a^4 b^6 c^2 u^2 v^4 w^3 x y^2 z^3 -
 18 b^10 c^2 u^2 v^4 w^3 x y^2 z^3 +
 43 a^8 c^4 u^2 v^4 w^3 x y^2 z^3 +
 50 a^6 b^2 c^4 u^2 v^4 w^3 x y^2 z^3 -
 62 a^4 b^4 c^4 u^2 v^4 w^3 x y^2 z^3 -
 20 a^2 b^6 c^4 u^2 v^4 w^3 x y^2 z^3 +
 45 b^8 c^4 u^2 v^4 w^3 x y^2 z^3 -
 60 a^6 c^6 u^2 v^4 w^3 x y^2 z^3 +
 38 a^4 b^2 c^6 u^2 v^4 w^3 x y^2 z^3 +
 40 a^2 b^4 c^6 u^2 v^4 w^3 x y^2 z^3 -
 60 b^6 c^6 u^2 v^4 w^3 x y^2 z^3 + 2 a^4 c^8 u^2 v^4 w^3 x y^2 z^3 -
 30 a^2 b^2 c^8 u^2 v^4 w^3 x y^2 z^3 +
 45 b^4 c^8 u^2 v^4 w^3 x y^2 z^3 +
 8 a^2 c^10 u^2 v^4 w^3 x y^2 z^3 -
 18 b^2 c^10 u^2 v^4 w^3 x y^2 z^3 + 3 c^12 u^2 v^4 w^3 x y^2 z^3 +
 3 a^12 u v^5 w^3 x y^2 z^3 - 17 a^10 b^2 u v^5 w^3 x y^2 z^3 +
 34 a^8 b^4 u v^5 w^3 x y^2 z^3 - 30 a^6 b^6 u v^5 w^3 x y^2 z^3 +
 11 a^4 b^8 u v^5 w^3 x y^2 z^3 - a^2 b^10 u v^5 w^3 x y^2 z^3 +
 11 a^10 c^2 u v^5 w^3 x y^2 z^3 +
 14 a^8 b^2 c^2 u v^5 w^3 x y^2 z^3 +
 8 a^6 b^4 c^2 u v^5 w^3 x y^2 z^3 -
 38 a^4 b^6 c^2 u v^5 w^3 x y^2 z^3 +
 5 a^2 b^8 c^2 u v^5 w^3 x y^2 z^3 - 24 a^8 c^4 u v^5 w^3 x y^2 z^3 +
 18 a^6 b^2 c^4 u v^5 w^3 x y^2 z^3 +
 48 a^4 b^4 c^4 u v^5 w^3 x y^2 z^3 -
 10 a^2 b^6 c^4 u v^5 w^3 x y^2 z^3 + 4 a^6 c^6 u v^5 w^3 x y^2 z^3 -
 26 a^4 b^2 c^6 u v^5 w^3 x y^2 z^3 +
 10 a^2 b^4 c^6 u v^5 w^3 x y^2 z^3 + 5 a^4 c^8 u v^5 w^3 x y^2 z^3 -
 5 a^2 b^2 c^8 u v^5 w^3 x y^2 z^3 + a^2 c^10 u v^5 w^3 x y^2 z^3 +
 2 a^12 v^6 w^3 x y^2 z^3 - 4 a^10 b^2 v^6 w^3 x y^2 z^3 +
 4 a^6 b^6 v^6 w^3 x y^2 z^3 - 2 a^4 b^8 v^6 w^3 x y^2 z^3 +
 4 a^10 c^2 v^6 w^3 x y^2 z^3 - 12 a^6 b^4 c^2 v^6 w^3 x y^2 z^3 +
 8 a^4 b^6 c^2 v^6 w^3 x y^2 z^3 + 12 a^6 b^2 c^4 v^6 w^3 x y^2 z^3 -
 12 a^4 b^4 c^4 v^6 w^3 x y^2 z^3 - 4 a^6 c^6 v^6 w^3 x y^2 z^3 +
 8 a^4 b^2 c^6 v^6 w^3 x y^2 z^3 - 2 a^4 c^8 v^6 w^3 x y^2 z^3 -
 2 a^6 b^6 u^5 w^4 x y^2 z^3 + 2 a^4 b^8 u^5 w^4 x y^2 z^3 +
 2 a^2 b^10 u^5 w^4 x y^2 z^3 - 2 b^12 u^5 w^4 x y^2 z^3 -
 4 a^6 b^4 c^2 u^5 w^4 x y^2 z^3 - 6 a^4 b^6 c^2 u^5 w^4 x y^2 z^3 -
 8 a^2 b^8 c^2 u^5 w^4 x y^2 z^3 + 2 b^10 c^2 u^5 w^4 x y^2 z^3 +
 12 a^4 b^4 c^4 u^5 w^4 x y^2 z^3 +
 18 a^2 b^6 c^4 u^5 w^4 x y^2 z^3 + 6 b^8 c^4 u^5 w^4 x y^2 z^3 -
 12 a^2 b^4 c^6 u^5 w^4 x y^2 z^3 - 10 b^6 c^6 u^5 w^4 x y^2 z^3 +
 4 b^4 c^8 u^5 w^4 x y^2 z^3 + 6 a^12 u^4 v w^4 x y^2 z^3 +
 5 a^10 b^2 u^4 v w^4 x y^2 z^3 - 3 a^8 b^4 u^4 v w^4 x y^2 z^3 +
 6 a^6 b^6 u^4 v w^4 x y^2 z^3 - 44 a^4 b^8 u^4 v w^4 x y^2 z^3 +
 21 a^2 b^10 u^4 v w^4 x y^2 z^3 + 9 b^12 u^4 v w^4 x y^2 z^3 -
 36 a^10 c^2 u^4 v w^4 x y^2 z^3 -
 33 a^8 b^2 c^2 u^4 v w^4 x y^2 z^3 +
 28 a^6 b^4 c^2 u^4 v w^4 x y^2 z^3 +
 82 a^4 b^6 c^2 u^4 v w^4 x y^2 z^3 -
 16 a^2 b^8 c^2 u^4 v w^4 x y^2 z^3 -
 25 b^10 c^2 u^4 v w^4 x y^2 z^3 + 90 a^8 c^4 u^4 v w^4 x y^2 z^3 +
 82 a^6 b^2 c^4 u^4 v w^4 x y^2 z^3 -
 46 a^4 b^4 c^4 u^4 v w^4 x y^2 z^3 -
 46 a^2 b^6 c^4 u^4 v w^4 x y^2 z^3 +
 16 b^8 c^4 u^4 v w^4 x y^2 z^3 - 120 a^6 c^6 u^4 v w^4 x y^2 z^3 -
 98 a^4 b^2 c^6 u^4 v w^4 x y^2 z^3 +
 20 a^2 b^4 c^6 u^4 v w^4 x y^2 z^3 + 6 b^6 c^6 u^4 v w^4 x y^2 z^3 +
 90 a^4 c^8 u^4 v w^4 x y^2 z^3 + 57 a^2 b^2 c^8 u^4 v w^4 x y^2 z^3 +
  b^4 c^8 u^4 v w^4 x y^2 z^3 - 36 a^2 c^10 u^4 v w^4 x y^2 z^3 -
 13 b^2 c^10 u^4 v w^4 x y^2 z^3 + 6 c^12 u^4 v w^4 x y^2 z^3 +
 11 a^12 u^3 v^2 w^4 x y^2 z^3 + 34 a^10 b^2 u^3 v^2 w^4 x y^2 z^3 -
 61 a^8 b^4 u^3 v^2 w^4 x y^2 z^3 +
 10 a^6 b^6 u^3 v^2 w^4 x y^2 z^3 -
 25 a^4 b^8 u^3 v^2 w^4 x y^2 z^3 +
 28 a^2 b^10 u^3 v^2 w^4 x y^2 z^3 + 3 b^12 u^3 v^2 w^4 x y^2 z^3 -
 54 a^10 c^2 u^3 v^2 w^4 x y^2 z^3 -
 90 a^8 b^2 c^2 u^3 v^2 w^4 x y^2 z^3 +
 114 a^6 b^4 c^2 u^3 v^2 w^4 x y^2 z^3 +
 92 a^4 b^6 c^2 u^3 v^2 w^4 x y^2 z^3 -
 48 a^2 b^8 c^2 u^3 v^2 w^4 x y^2 z^3 -
 14 b^10 c^2 u^3 v^2 w^4 x y^2 z^3 +
 105 a^8 c^4 u^3 v^2 w^4 x y^2 z^3 +
 64 a^6 b^2 c^4 u^3 v^2 w^4 x y^2 z^3 -
 120 a^4 b^4 c^4 u^3 v^2 w^4 x y^2 z^3 -
 18 a^2 b^6 c^4 u^3 v^2 w^4 x y^2 z^3 +
 25 b^8 c^4 u^3 v^2 w^4 x y^2 z^3 -
 100 a^6 c^6 u^3 v^2 w^4 x y^2 z^3 +
 8 a^4 b^2 c^6 u^3 v^2 w^4 x y^2 z^3 +
 62 a^2 b^4 c^6 u^3 v^2 w^4 x y^2 z^3 -
 20 b^6 c^6 u^3 v^2 w^4 x y^2 z^3 +
 45 a^4 c^8 u^3 v^2 w^4 x y^2 z^3 -
 18 a^2 b^2 c^8 u^3 v^2 w^4 x y^2 z^3 +
 5 b^4 c^8 u^3 v^2 w^4 x y^2 z^3 - 6 a^2 c^10 u^3 v^2 w^4 x y^2 z^3 +
 2 b^2 c^10 u^3 v^2 w^4 x y^2 z^3 - c^12 u^3 v^2 w^4 x y^2 z^3 +
 2 a^12 u^2 v^3 w^4 x y^2 z^3 - 5 a^10 b^2 u^2 v^3 w^4 x y^2 z^3 -
 12 a^8 b^4 u^2 v^3 w^4 x y^2 z^3 +
 18 a^6 b^6 u^2 v^3 w^4 x y^2 z^3 +
 10 a^4 b^8 u^2 v^3 w^4 x y^2 z^3 -
 13 a^2 b^10 u^2 v^3 w^4 x y^2 z^3 -
 7 a^10 c^2 u^2 v^3 w^4 x y^2 z^3 -
 32 a^8 b^2 c^2 u^2 v^3 w^4 x y^2 z^3 -
 46 a^6 b^4 c^2 u^2 v^3 w^4 x y^2 z^3 -
 32 a^4 b^6 c^2 u^2 v^3 w^4 x y^2 z^3 +
 53 a^2 b^8 c^2 u^2 v^3 w^4 x y^2 z^3 +
 8 a^8 c^4 u^2 v^3 w^4 x y^2 z^3 +
 62 a^6 b^2 c^4 u^2 v^3 w^4 x y^2 z^3 +
 32 a^4 b^4 c^4 u^2 v^3 w^4 x y^2 z^3 -
 82 a^2 b^6 c^4 u^2 v^3 w^4 x y^2 z^3 -
 2 a^6 c^6 u^2 v^3 w^4 x y^2 z^3 -
 8 a^4 b^2 c^6 u^2 v^3 w^4 x y^2 z^3 +
 58 a^2 b^4 c^6 u^2 v^3 w^4 x y^2 z^3 -
 2 a^4 c^8 u^2 v^3 w^4 x y^2 z^3 -
 17 a^2 b^2 c^8 u^2 v^3 w^4 x y^2 z^3 +
 a^2 c^10 u^2 v^3 w^4 x y^2 z^3 - 18 a^12 u v^4 w^4 x y^2 z^3 -
 5 a^10 b^2 u v^4 w^4 x y^2 z^3 + 48 a^8 b^4 u v^4 w^4 x y^2 z^3 -
 18 a^6 b^6 u v^4 w^4 x y^2 z^3 + 2 a^4 b^8 u v^4 w^4 x y^2 z^3 -
 9 a^2 b^10 u v^4 w^4 x y^2 z^3 + 31 a^10 c^2 u v^4 w^4 x y^2 z^3 -
 62 a^8 b^2 c^2 u v^4 w^4 x y^2 z^3 -
 60 a^6 b^4 c^2 u v^4 w^4 x y^2 z^3 -
 2 a^4 b^6 c^2 u v^4 w^4 x y^2 z^3 +
 45 a^2 b^8 c^2 u v^4 w^4 x y^2 z^3 + 6 a^8 c^4 u v^4 w^4 x y^2 z^3 +
 102 a^6 b^2 c^4 u v^4 w^4 x y^2 z^3 -
 6 a^4 b^4 c^4 u v^4 w^4 x y^2 z^3 -
 90 a^2 b^6 c^4 u v^4 w^4 x y^2 z^3 -
 24 a^6 c^6 u v^4 w^4 x y^2 z^3 +
 10 a^4 b^2 c^6 u v^4 w^4 x y^2 z^3 +
 90 a^2 b^4 c^6 u v^4 w^4 x y^2 z^3 - 4 a^4 c^8 u v^4 w^4 x y^2 z^3 -
 45 a^2 b^2 c^8 u v^4 w^4 x y^2 z^3 +
 9 a^2 c^10 u v^4 w^4 x y^2 z^3 - 3 a^12 v^5 w^4 x y^2 z^3 +
 6 a^8 b^4 v^5 w^4 x y^2 z^3 - 3 a^4 b^8 v^5 w^4 x y^2 z^3 -
 12 a^8 b^2 c^2 v^5 w^4 x y^2 z^3 +
 12 a^4 b^6 c^2 v^5 w^4 x y^2 z^3 + 6 a^8 c^4 v^5 w^4 x y^2 z^3 -
 18 a^4 b^4 c^4 v^5 w^4 x y^2 z^3 +
 12 a^4 b^2 c^6 v^5 w^4 x y^2 z^3 - 3 a^4 c^8 v^5 w^4 x y^2 z^3 -
 5 a^8 b^4 u^4 w^5 x y^2 z^3 - 8 a^6 b^6 u^4 w^5 x y^2 z^3 +
 2 a^4 b^8 u^4 w^5 x y^2 z^3 + 8 a^2 b^10 u^4 w^5 x y^2 z^3 +
 3 b^12 u^4 w^5 x y^2 z^3 + 12 a^6 b^4 c^2 u^4 w^5 x y^2 z^3 +
 4 a^4 b^6 c^2 u^4 w^5 x y^2 z^3 - 20 a^2 b^8 c^2 u^4 w^5 x y^2 z^3 -
 12 b^10 c^2 u^4 w^5 x y^2 z^3 - 6 a^4 b^4 c^4 u^4 w^5 x y^2 z^3 +
 16 a^2 b^6 c^4 u^4 w^5 x y^2 z^3 + 18 b^8 c^4 u^4 w^5 x y^2 z^3 -
 4 a^2 b^4 c^6 u^4 w^5 x y^2 z^3 - 12 b^6 c^6 u^4 w^5 x y^2 z^3 +
 3 b^4 c^8 u^4 w^5 x y^2 z^3 + 2 a^12 u^3 v w^5 x y^2 z^3 +
 5 a^10 b^2 u^3 v w^5 x y^2 z^3 - 3 a^8 b^4 u^3 v w^5 x y^2 z^3 +
 24 a^6 b^6 u^3 v w^5 x y^2 z^3 - 22 a^4 b^8 u^3 v w^5 x y^2 z^3 -
 5 a^2 b^10 u^3 v w^5 x y^2 z^3 - b^12 u^3 v w^5 x y^2 z^3 -
 12 a^10 c^2 u^3 v w^5 x y^2 z^3 -
 29 a^8 b^2 c^2 u^3 v w^5 x y^2 z^3 -
 10 a^6 b^4 c^2 u^3 v w^5 x y^2 z^3 +
 22 a^4 b^6 c^2 u^3 v w^5 x y^2 z^3 +
 10 a^2 b^8 c^2 u^3 v w^5 x y^2 z^3 +
 3 b^10 c^2 u^3 v w^5 x y^2 z^3 + 30 a^8 c^4 u^3 v w^5 x y^2 z^3 +
 66 a^6 b^2 c^4 u^3 v w^5 x y^2 z^3 +
 44 a^4 b^4 c^4 u^3 v w^5 x y^2 z^3 +
 12 a^2 b^6 c^4 u^3 v w^5 x y^2 z^3 -
 40 a^6 c^6 u^3 v w^5 x y^2 z^3 -
 74 a^4 b^2 c^6 u^3 v w^5 x y^2 z^3 -
 46 a^2 b^4 c^6 u^3 v w^5 x y^2 z^3 -
 10 b^6 c^6 u^3 v w^5 x y^2 z^3 + 30 a^4 c^8 u^3 v w^5 x y^2 z^3 +
 41 a^2 b^2 c^8 u^3 v w^5 x y^2 z^3 +
 15 b^4 c^8 u^3 v w^5 x y^2 z^3 - 12 a^2 c^10 u^3 v w^5 x y^2 z^3 -
 9 b^2 c^10 u^3 v w^5 x y^2 z^3 + 2 c^12 u^3 v w^5 x y^2 z^3 +
 4 a^12 u^2 v^2 w^5 x y^2 z^3 + 39 a^10 b^2 u^2 v^2 w^5 x y^2 z^3 +
 19 a^8 b^4 u^2 v^2 w^5 x y^2 z^3 + 2 a^6 b^6 u^2 v^2 w^5 x y^2 z^3 -
 46 a^4 b^8 u^2 v^2 w^5 x y^2 z^3 -
 17 a^2 b^10 u^2 v^2 w^5 x y^2 z^3 - b^12 u^2 v^2 w^5 x y^2 z^3 -
 19 a^10 c^2 u^2 v^2 w^5 x y^2 z^3 -
 114 a^8 b^2 c^2 u^2 v^2 w^5 x y^2 z^3 -
 26 a^6 b^4 c^2 u^2 v^2 w^5 x y^2 z^3 +
 100 a^4 b^6 c^2 u^2 v^2 w^5 x y^2 z^3 +
 69 a^2 b^8 c^2 u^2 v^2 w^5 x y^2 z^3 +
 6 b^10 c^2 u^2 v^2 w^5 x y^2 z^3 +
 35 a^8 c^4 u^2 v^2 w^5 x y^2 z^3 +
 102 a^6 b^2 c^4 u^2 v^2 w^5 x y^2 z^3 -
 52 a^4 b^4 c^4 u^2 v^2 w^5 x y^2 z^3 -
 106 a^2 b^6 c^4 u^2 v^2 w^5 x y^2 z^3 -
 15 b^8 c^4 u^2 v^2 w^5 x y^2 z^3 -
 30 a^6 c^6 u^2 v^2 w^5 x y^2 z^3 -
 12 a^4 b^2 c^6 u^2 v^2 w^5 x y^2 z^3 +
 74 a^2 b^4 c^6 u^2 v^2 w^5 x y^2 z^3 +
 20 b^6 c^6 u^2 v^2 w^5 x y^2 z^3 +
 10 a^4 c^8 u^2 v^2 w^5 x y^2 z^3 -
 21 a^2 b^2 c^8 u^2 v^2 w^5 x y^2 z^3 -
 15 b^4 c^8 u^2 v^2 w^5 x y^2 z^3 + a^2 c^10 u^2 v^2 w^5 x y^2 z^3 +
 6 b^2 c^10 u^2 v^2 w^5 x y^2 z^3 - c^12 u^2 v^2 w^5 x y^2 z^3 +
 9 a^12 u v^3 w^5 x y^2 z^3 + 27 a^10 b^2 u v^3 w^5 x y^2 z^3 +
 8 a^8 b^4 u v^3 w^5 x y^2 z^3 - 28 a^6 b^6 u v^3 w^5 x y^2 z^3 -
 9 a^4 b^8 u v^3 w^5 x y^2 z^3 - 7 a^2 b^10 u v^3 w^5 x y^2 z^3 -
 29 a^10 c^2 u v^3 w^5 x y^2 z^3 -
 58 a^8 b^2 c^2 u v^3 w^5 x y^2 z^3 +
 22 a^6 b^4 c^2 u v^3 w^5 x y^2 z^3 +
 46 a^4 b^6 c^2 u v^3 w^5 x y^2 z^3 +
 35 a^2 b^8 c^2 u v^3 w^5 x y^2 z^3 +
 26 a^8 c^4 u v^3 w^5 x y^2 z^3 -
 84 a^4 b^4 c^4 u v^3 w^5 x y^2 z^3 -
 70 a^2 b^6 c^4 u v^3 w^5 x y^2 z^3 + 6 a^6 c^6 u v^3 w^5 x y^2 z^3 +
 66 a^4 b^2 c^6 u v^3 w^5 x y^2 z^3 +
 70 a^2 b^4 c^6 u v^3 w^5 x y^2 z^3 -
 19 a^4 c^8 u v^3 w^5 x y^2 z^3 -
 35 a^2 b^2 c^8 u v^3 w^5 x y^2 z^3 +
 7 a^2 c^10 u v^3 w^5 x y^2 z^3 - 4 a^8 b^4 u^3 w^6 x y^2 z^3 -
 12 a^6 b^6 u^3 w^6 x y^2 z^3 - 12 a^4 b^8 u^3 w^6 x y^2 z^3 -
 4 a^2 b^10 u^3 w^6 x y^2 z^3 + 12 a^6 b^4 c^2 u^3 w^6 x y^2 z^3 +
 24 a^4 b^6 c^2 u^3 w^6 x y^2 z^3 +
 12 a^2 b^8 c^2 u^3 w^6 x y^2 z^3 -
 12 a^4 b^4 c^4 u^3 w^6 x y^2 z^3 -
 12 a^2 b^6 c^4 u^3 w^6 x y^2 z^3 + 4 a^2 b^4 c^6 u^3 w^6 x y^2 z^3 -
 2 a^10 b^2 u^2 v w^6 x y^2 z^3 - 16 a^8 b^4 u^2 v w^6 x y^2 z^3 -
 12 a^6 b^6 u^2 v w^6 x y^2 z^3 - 16 a^4 b^8 u^2 v w^6 x y^2 z^3 -
 2 a^2 b^10 u^2 v w^6 x y^2 z^3 + 8 a^8 b^2 c^2 u^2 v w^6 x y^2 z^3 +
 40 a^6 b^4 c^2 u^2 v w^6 x y^2 z^3 +
 40 a^4 b^6 c^2 u^2 v w^6 x y^2 z^3 +
 8 a^2 b^8 c^2 u^2 v w^6 x y^2 z^3 -
 12 a^6 b^2 c^4 u^2 v w^6 x y^2 z^3 -
 32 a^4 b^4 c^4 u^2 v w^6 x y^2 z^3 -
 12 a^2 b^6 c^4 u^2 v w^6 x y^2 z^3 +
 8 a^4 b^2 c^6 u^2 v w^6 x y^2 z^3 +
 8 a^2 b^4 c^6 u^2 v w^6 x y^2 z^3 -
 2 a^2 b^2 c^8 u^2 v w^6 x y^2 z^3 - a^12 u v^2 w^6 x y^2 z^3 +
 a^10 b^2 u v^2 w^6 x y^2 z^3 + a^4 b^8 u v^2 w^6 x y^2 z^3 -
 a^2 b^10 u v^2 w^6 x y^2 z^3 + 5 a^10 c^2 u v^2 w^6 x y^2 z^3 +
 2 a^8 b^2 c^2 u v^2 w^6 x y^2 z^3 +
 2 a^6 b^4 c^2 u v^2 w^6 x y^2 z^3 +
 2 a^4 b^6 c^2 u v^2 w^6 x y^2 z^3 +
 5 a^2 b^8 c^2 u v^2 w^6 x y^2 z^3 - 10 a^8 c^4 u v^2 w^6 x y^2 z^3 -
 12 a^6 b^2 c^4 u v^2 w^6 x y^2 z^3 -
 12 a^4 b^4 c^4 u v^2 w^6 x y^2 z^3 -
 10 a^2 b^6 c^4 u v^2 w^6 x y^2 z^3 +
 10 a^6 c^6 u v^2 w^6 x y^2 z^3 +
 14 a^4 b^2 c^6 u v^2 w^6 x y^2 z^3 +
 10 a^2 b^4 c^6 u v^2 w^6 x y^2 z^3 - 5 a^4 c^8 u v^2 w^6 x y^2 z^3 -
 5 a^2 b^2 c^8 u v^2 w^6 x y^2 z^3 + a^2 c^10 u v^2 w^6 x y^2 z^3 +
 a^12 v^3 w^6 x y^2 z^3 + 4 a^10 b^2 v^3 w^6 x y^2 z^3 +
 6 a^8 b^4 v^3 w^6 x y^2 z^3 + 4 a^6 b^6 v^3 w^6 x y^2 z^3 +
 a^4 b^8 v^3 w^6 x y^2 z^3 - 4 a^10 c^2 v^3 w^6 x y^2 z^3 -
 12 a^8 b^2 c^2 v^3 w^6 x y^2 z^3 -
 12 a^6 b^4 c^2 v^3 w^6 x y^2 z^3 - 4 a^4 b^6 c^2 v^3 w^6 x y^2 z^3 +
 6 a^8 c^4 v^3 w^6 x y^2 z^3 + 12 a^6 b^2 c^4 v^3 w^6 x y^2 z^3 +
 6 a^4 b^4 c^4 v^3 w^6 x y^2 z^3 - 4 a^6 c^6 v^3 w^6 x y^2 z^3 -
 4 a^4 b^2 c^6 v^3 w^6 x y^2 z^3 + a^4 c^8 v^3 w^6 x y^2 z^3 +
 a^8 c^4 u^6 v^3 y^3 z^3 + 2 a^6 b^2 c^4 u^6 v^3 y^3 z^3 -
 4 a^4 b^4 c^4 u^6 v^3 y^3 z^3 - 2 a^2 b^6 c^4 u^6 v^3 y^3 z^3 +
 3 b^8 c^4 u^6 v^3 y^3 z^3 - 2 a^6 c^6 u^6 v^3 y^3 z^3 +
 4 a^4 b^2 c^6 u^6 v^3 y^3 z^3 + 6 a^2 b^4 c^6 u^6 v^3 y^3 z^3 -
 8 b^6 c^6 u^6 v^3 y^3 z^3 - 6 a^2 b^2 c^8 u^6 v^3 y^3 z^3 +
 6 b^4 c^8 u^6 v^3 y^3 z^3 + 2 a^2 c^10 u^6 v^3 y^3 z^3 -
 c^12 u^6 v^3 y^3 z^3 + 6 a^8 c^4 u^5 v^4 y^3 z^3 -
 16 a^4 b^4 c^4 u^5 v^4 y^3 z^3 + 8 a^2 b^6 c^4 u^5 v^4 y^3 z^3 +
 2 b^8 c^4 u^5 v^4 y^3 z^3 - 4 a^6 c^6 u^5 v^4 y^3 z^3 +
 24 a^4 b^2 c^6 u^5 v^4 y^3 z^3 - 12 a^2 b^4 c^6 u^5 v^4 y^3 z^3 -
 8 b^6 c^6 u^5 v^4 y^3 z^3 - 8 a^4 c^8 u^5 v^4 y^3 z^3 +
 12 b^4 c^8 u^5 v^4 y^3 z^3 + 4 a^2 c^10 u^5 v^4 y^3 z^3 -
 8 b^2 c^10 u^5 v^4 y^3 z^3 + 2 c^12 u^5 v^4 y^3 z^3 +
 10 a^8 c^4 u^4 v^5 y^3 z^3 - 14 a^6 b^2 c^4 u^4 v^5 y^3 z^3 -
 2 a^4 b^4 c^4 u^4 v^5 y^3 z^3 + 6 a^2 b^6 c^4 u^4 v^5 y^3 z^3 +
 6 a^6 c^6 u^4 v^5 y^3 z^3 + 12 a^4 b^2 c^6 u^4 v^5 y^3 z^3 -
 18 a^2 b^4 c^6 u^4 v^5 y^3 z^3 - 10 a^4 c^8 u^4 v^5 y^3 z^3 +
 18 a^2 b^2 c^8 u^4 v^5 y^3 z^3 - 6 a^2 c^10 u^4 v^5 y^3 z^3 +
 4 a^8 c^4 u^3 v^6 y^3 z^3 - 8 a^6 b^2 c^4 u^3 v^6 y^3 z^3 +
 4 a^4 b^4 c^4 u^3 v^6 y^3 z^3 + 8 a^6 c^6 u^3 v^6 y^3 z^3 -
 8 a^4 b^2 c^6 u^3 v^6 y^3 z^3 + 4 a^4 c^8 u^3 v^6 y^3 z^3 -
 2 a^12 u^6 v^2 w y^3 z^3 + 9 a^10 b^2 u^6 v^2 w y^3 z^3 -
 15 a^8 b^4 u^6 v^2 w y^3 z^3 + 10 a^6 b^6 u^6 v^2 w y^3 z^3 -
 3 a^2 b^10 u^6 v^2 w y^3 z^3 + b^12 u^6 v^2 w y^3 z^3 +
 5 a^10 c^2 u^6 v^2 w y^3 z^3 - 18 a^8 b^2 c^2 u^6 v^2 w y^3 z^3 +
 24 a^6 b^4 c^2 u^6 v^2 w y^3 z^3 -
 14 a^4 b^6 c^2 u^6 v^2 w y^3 z^3 + 3 a^2 b^8 c^2 u^6 v^2 w y^3 z^3 -
 2 a^8 c^4 u^6 v^2 w y^3 z^3 - 2 a^4 b^4 c^4 u^6 v^2 w y^3 z^3 +
 4 a^2 b^6 c^4 u^6 v^2 w y^3 z^3 - 2 a^6 c^6 u^6 v^2 w y^3 z^3 +
 18 a^4 b^2 c^6 u^6 v^2 w y^3 z^3 - 8 b^6 c^6 u^6 v^2 w y^3 z^3 -
 2 a^4 c^8 u^6 v^2 w y^3 z^3 - 9 a^2 b^2 c^8 u^6 v^2 w y^3 z^3 +
 9 b^4 c^8 u^6 v^2 w y^3 z^3 + 5 a^2 c^10 u^6 v^2 w y^3 z^3 -
 2 c^12 u^6 v^2 w y^3 z^3 - 7 a^12 u^5 v^3 w y^3 z^3 +
 33 a^10 b^2 u^5 v^3 w y^3 z^3 - 60 a^8 b^4 u^5 v^3 w y^3 z^3 +
 50 a^6 b^6 u^5 v^3 w y^3 z^3 - 15 a^4 b^8 u^5 v^3 w y^3 z^3 -
 3 a^2 b^10 u^5 v^3 w y^3 z^3 + 2 b^12 u^5 v^3 w y^3 z^3 +
 11 a^10 c^2 u^5 v^3 w y^3 z^3 - 32 a^8 b^2 c^2 u^5 v^3 w y^3 z^3 +
 38 a^6 b^4 c^2 u^5 v^3 w y^3 z^3 -
 32 a^4 b^6 c^2 u^5 v^3 w y^3 z^3 +
 23 a^2 b^8 c^2 u^5 v^3 w y^3 z^3 - 8 b^10 c^2 u^5 v^3 w y^3 z^3 -
 18 a^6 b^2 c^4 u^5 v^3 w y^3 z^3 +
 34 a^4 b^4 c^4 u^5 v^3 w y^3 z^3 -
 30 a^2 b^6 c^4 u^5 v^3 w y^3 z^3 + 14 b^8 c^4 u^5 v^3 w y^3 z^3 +
 2 a^6 c^6 u^5 v^3 w y^3 z^3 + 24 a^4 b^2 c^6 u^5 v^3 w y^3 z^3 +
 6 a^2 b^4 c^6 u^5 v^3 w y^3 z^3 - 16 b^6 c^6 u^5 v^3 w y^3 z^3 -
 11 a^4 c^8 u^5 v^3 w y^3 z^3 + a^2 b^2 c^8 u^5 v^3 w y^3 z^3 +
 14 b^4 c^8 u^5 v^3 w y^3 z^3 + 3 a^2 c^10 u^5 v^3 w y^3 z^3 -
 8 b^2 c^10 u^5 v^3 w y^3 z^3 + 2 c^12 u^5 v^3 w y^3 z^3 -
 8 a^12 u^4 v^4 w y^3 z^3 + 39 a^10 b^2 u^4 v^4 w y^3 z^3 -
 75 a^8 b^4 u^4 v^4 w y^3 z^3 + 70 a^6 b^6 u^4 v^4 w y^3 z^3 -
 30 a^4 b^8 u^4 v^4 w y^3 z^3 + 3 a^2 b^10 u^4 v^4 w y^3 z^3 +
 b^12 u^4 v^4 w y^3 z^3 + 11 a^10 c^2 u^4 v^4 w y^3 z^3 -
 10 a^8 b^2 c^2 u^4 v^4 w y^3 z^3 -
 30 a^6 b^4 c^2 u^4 v^4 w y^3 z^3 +
 40 a^4 b^6 c^2 u^4 v^4 w y^3 z^3 - 5 a^2 b^8 c^2 u^4 v^4 w y^3 z^3 -
 6 b^10 c^2 u^4 v^4 w y^3 z^3 + 3 a^8 c^4 u^4 v^4 w y^3 z^3 +
 4 a^6 b^2 c^4 u^4 v^4 w y^3 z^3 - 18 a^4 b^4 c^4 u^4 v^4 w y^3 z^3 -
 4 a^2 b^6 c^4 u^4 v^4 w y^3 z^3 + 15 b^8 c^4 u^4 v^4 w y^3 z^3 -
 4 a^6 c^6 u^4 v^4 w y^3 z^3 + 12 a^4 b^2 c^6 u^4 v^4 w y^3 z^3 +
 12 a^2 b^4 c^6 u^4 v^4 w y^3 z^3 - 20 b^6 c^6 u^4 v^4 w y^3 z^3 -
 4 a^4 c^8 u^4 v^4 w y^3 z^3 - 7 a^2 b^2 c^8 u^4 v^4 w y^3 z^3 +
 15 b^4 c^8 u^4 v^4 w y^3 z^3 + a^2 c^10 u^4 v^4 w y^3 z^3 -
 6 b^2 c^10 u^4 v^4 w y^3 z^3 + c^12 u^4 v^4 w y^3 z^3 -
 3 a^12 u^3 v^5 w y^3 z^3 + 15 a^10 b^2 u^3 v^5 w y^3 z^3 -
 30 a^8 b^4 u^3 v^5 w y^3 z^3 + 30 a^6 b^6 u^3 v^5 w y^3 z^3 -
 15 a^4 b^8 u^3 v^5 w y^3 z^3 + 3 a^2 b^10 u^3 v^5 w y^3 z^3 +
 13 a^10 c^2 u^3 v^5 w y^3 z^3 - 24 a^8 b^2 c^2 u^3 v^5 w y^3 z^3 -
 6 a^6 b^4 c^2 u^3 v^5 w y^3 z^3 + 32 a^4 b^6 c^2 u^3 v^5 w y^3 z^3 -
 15 a^2 b^8 c^2 u^3 v^5 w y^3 z^3 + 14 a^8 c^4 u^3 v^5 w y^3 z^3 -
 14 a^6 b^2 c^4 u^3 v^5 w y^3 z^3 -
 30 a^4 b^4 c^4 u^3 v^5 w y^3 z^3 +
 30 a^2 b^6 c^4 u^3 v^5 w y^3 z^3 - 10 a^6 c^6 u^3 v^5 w y^3 z^3 +
 24 a^4 b^2 c^6 u^3 v^5 w y^3 z^3 -
 30 a^2 b^4 c^6 u^3 v^5 w y^3 z^3 - 11 a^4 c^8 u^3 v^5 w y^3 z^3 +
 15 a^2 b^2 c^8 u^3 v^5 w y^3 z^3 - 3 a^2 c^10 u^3 v^5 w y^3 z^3 +
 6 a^10 c^2 u^2 v^6 w y^3 z^3 - 18 a^8 b^2 c^2 u^2 v^6 w y^3 z^3 +
 18 a^6 b^4 c^2 u^2 v^6 w y^3 z^3 - 6 a^4 b^6 c^2 u^2 v^6 w y^3 z^3 +
 10 a^8 c^4 u^2 v^6 w y^3 z^3 - 28 a^6 b^2 c^4 u^2 v^6 w y^3 z^3 +
 18 a^4 b^4 c^4 u^2 v^6 w y^3 z^3 + 10 a^6 c^6 u^2 v^6 w y^3 z^3 -
 18 a^4 b^2 c^6 u^2 v^6 w y^3 z^3 + 6 a^4 c^8 u^2 v^6 w y^3 z^3 +
 2 a^12 u^6 v w^2 y^3 z^3 - 5 a^10 b^2 u^6 v w^2 y^3 z^3 +
 2 a^8 b^4 u^6 v w^2 y^3 z^3 + 2 a^6 b^6 u^6 v w^2 y^3 z^3 +
 2 a^4 b^8 u^6 v w^2 y^3 z^3 - 5 a^2 b^10 u^6 v w^2 y^3 z^3 +
 2 b^12 u^6 v w^2 y^3 z^3 - 9 a^10 c^2 u^6 v w^2 y^3 z^3 +
 18 a^8 b^2 c^2 u^6 v w^2 y^3 z^3 -
 18 a^4 b^6 c^2 u^6 v w^2 y^3 z^3 + 9 a^2 b^8 c^2 u^6 v w^2 y^3 z^3 +
 15 a^8 c^4 u^6 v w^2 y^3 z^3 - 24 a^6 b^2 c^4 u^6 v w^2 y^3 z^3 +
 2 a^4 b^4 c^4 u^6 v w^2 y^3 z^3 - 9 b^8 c^4 u^6 v w^2 y^3 z^3 -
 10 a^6 c^6 u^6 v w^2 y^3 z^3 + 14 a^4 b^2 c^6 u^6 v w^2 y^3 z^3 -
 4 a^2 b^4 c^6 u^6 v w^2 y^3 z^3 + 8 b^6 c^6 u^6 v w^2 y^3 z^3 -
 3 a^2 b^2 c^8 u^6 v w^2 y^3 z^3 + 3 a^2 c^10 u^6 v w^2 y^3 z^3 -
 c^12 u^6 v w^2 y^3 z^3 + 6 a^10 b^2 u^5 v^2 w^2 y^3 z^3 -
 22 a^8 b^4 u^5 v^2 w^2 y^3 z^3 + 28 a^6 b^6 u^5 v^2 w^2 y^3 z^3 -
 12 a^4 b^8 u^5 v^2 w^2 y^3 z^3 - 2 a^2 b^10 u^5 v^2 w^2 y^3 z^3 +
 2 b^12 u^5 v^2 w^2 y^3 z^3 - 6 a^10 c^2 u^5 v^2 w^2 y^3 z^3 +
 24 a^6 b^4 c^2 u^5 v^2 w^2 y^3 z^3 -
 32 a^4 b^6 c^2 u^5 v^2 w^2 y^3 z^3 +
 22 a^2 b^8 c^2 u^5 v^2 w^2 y^3 z^3 -
 8 b^10 c^2 u^5 v^2 w^2 y^3 z^3 + 22 a^8 c^4 u^5 v^2 w^2 y^3 z^3 -
 24 a^6 b^2 c^4 u^5 v^2 w^2 y^3 z^3 -
 56 a^2 b^6 c^4 u^5 v^2 w^2 y^3 z^3 +
 10 b^8 c^4 u^5 v^2 w^2 y^3 z^3 - 28 a^6 c^6 u^5 v^2 w^2 y^3 z^3 +
 32 a^4 b^2 c^6 u^5 v^2 w^2 y^3 z^3 +
 56 a^2 b^4 c^6 u^5 v^2 w^2 y^3 z^3 +
 12 a^4 c^8 u^5 v^2 w^2 y^3 z^3 -
 22 a^2 b^2 c^8 u^5 v^2 w^2 y^3 z^3 -
 10 b^4 c^8 u^5 v^2 w^2 y^3 z^3 + 2 a^2 c^10 u^5 v^2 w^2 y^3 z^3 +
 8 b^2 c^10 u^5 v^2 w^2 y^3 z^3 - 2 c^12 u^5 v^2 w^2 y^3 z^3 -
 14 a^12 u^4 v^3 w^2 y^3 z^3 + 57 a^10 b^2 u^4 v^3 w^2 y^3 z^3 -
 87 a^8 b^4 u^4 v^3 w^2 y^3 z^3 + 58 a^6 b^6 u^4 v^3 w^2 y^3 z^3 -
 12 a^4 b^8 u^4 v^3 w^2 y^3 z^3 - 3 a^2 b^10 u^4 v^3 w^2 y^3 z^3 +
 b^12 u^4 v^3 w^2 y^3 z^3 + 9 a^10 c^2 u^4 v^3 w^2 y^3 z^3 -
 46 a^8 b^2 c^2 u^4 v^3 w^2 y^3 z^3 +
 66 a^6 b^4 c^2 u^4 v^3 w^2 y^3 z^3 -
 36 a^4 b^6 c^2 u^4 v^3 w^2 y^3 z^3 +
 13 a^2 b^8 c^2 u^4 v^3 w^2 y^3 z^3 -
 6 b^10 c^2 u^4 v^3 w^2 y^3 z^3 + 41 a^8 c^4 u^4 v^3 w^2 y^3 z^3 -
 38 a^6 b^2 c^4 u^4 v^3 w^2 y^3 z^3 -
 16 a^4 b^4 c^4 u^4 v^3 w^2 y^3 z^3 -
 34 a^2 b^6 c^4 u^4 v^3 w^2 y^3 z^3 +
 15 b^8 c^4 u^4 v^3 w^2 y^3 z^3 - 38 a^6 c^6 u^4 v^3 w^2 y^3 z^3 +
 76 a^4 b^2 c^6 u^4 v^3 w^2 y^3 z^3 +
 54 a^2 b^4 c^6 u^4 v^3 w^2 y^3 z^3 -
 20 b^6 c^6 u^4 v^3 w^2 y^3 z^3 - 12 a^4 c^8 u^4 v^3 w^2 y^3 z^3 -
 43 a^2 b^2 c^8 u^4 v^3 w^2 y^3 z^3 +
 15 b^4 c^8 u^4 v^3 w^2 y^3 z^3 + 13 a^2 c^10 u^4 v^3 w^2 y^3 z^3 -
 6 b^2 c^10 u^4 v^3 w^2 y^3 z^3 + c^12 u^4 v^3 w^2 y^3 z^3 -
 18 a^12 u^3 v^4 w^2 y^3 z^3 + 72 a^10 b^2 u^3 v^4 w^2 y^3 z^3 -
 108 a^8 b^4 u^3 v^4 w^2 y^3 z^3 + 72 a^6 b^6 u^3 v^4 w^2 y^3 z^3 -
 18 a^4 b^8 u^3 v^4 w^2 y^3 z^3 + 8 a^8 b^2 c^2 u^3 v^4 w^2 y^3 z^3 -
 16 a^6 b^4 c^2 u^3 v^4 w^2 y^3 z^3 +
 8 a^4 b^6 c^2 u^3 v^4 w^2 y^3 z^3 + 40 a^8 c^4 u^3 v^4 w^2 y^3 z^3 -
 48 a^6 b^2 c^4 u^3 v^4 w^2 y^3 z^3 +
 24 a^4 b^4 c^4 u^3 v^4 w^2 y^3 z^3 - 8 a^6 c^6 u^3 v^4 w^2 y^3 z^3 -
 14 a^4 c^8 u^3 v^4 w^2 y^3 z^3 - 3 a^12 u^2 v^5 w^2 y^3 z^3 +
 12 a^10 b^2 u^2 v^5 w^2 y^3 z^3 - 18 a^8 b^4 u^2 v^5 w^2 y^3 z^3 +
 12 a^6 b^6 u^2 v^5 w^2 y^3 z^3 - 3 a^4 b^8 u^2 v^5 w^2 y^3 z^3 +
 6 a^10 c^2 u^2 v^5 w^2 y^3 z^3 -
 10 a^8 b^2 c^2 u^2 v^5 w^2 y^3 z^3 +
 2 a^6 b^4 c^2 u^2 v^5 w^2 y^3 z^3 +
 2 a^4 b^6 c^2 u^2 v^5 w^2 y^3 z^3 + 4 a^8 c^4 u^2 v^5 w^2 y^3 z^3 +
 12 a^4 b^4 c^4 u^2 v^5 w^2 y^3 z^3 -
 14 a^6 c^6 u^2 v^5 w^2 y^3 z^3 -
 18 a^4 b^2 c^6 u^2 v^5 w^2 y^3 z^3 + 7 a^4 c^8 u^2 v^5 w^2 y^3 z^3 +
 2 a^12 u v^6 w^2 y^3 z^3 - 8 a^10 b^2 u v^6 w^2 y^3 z^3 +
 12 a^8 b^4 u v^6 w^2 y^3 z^3 - 8 a^6 b^6 u v^6 w^2 y^3 z^3 +
 2 a^4 b^8 u v^6 w^2 y^3 z^3 + 4 a^10 c^2 u v^6 w^2 y^3 z^3 -
 16 a^8 b^2 c^2 u v^6 w^2 y^3 z^3 +
 20 a^6 b^4 c^2 u v^6 w^2 y^3 z^3 - 8 a^4 b^6 c^2 u v^6 w^2 y^3 z^3 +
 4 a^8 c^4 u v^6 w^2 y^3 z^3 - 16 a^6 b^2 c^4 u v^6 w^2 y^3 z^3 +
 12 a^4 b^4 c^4 u v^6 w^2 y^3 z^3 + 4 a^6 c^6 u v^6 w^2 y^3 z^3 -
 8 a^4 b^2 c^6 u v^6 w^2 y^3 z^3 + 2 a^4 c^8 u v^6 w^2 y^3 z^3 -
 a^8 b^4 u^6 w^3 y^3 z^3 + 2 a^6 b^6 u^6 w^3 y^3 z^3 -
 2 a^2 b^10 u^6 w^3 y^3 z^3 + b^12 u^6 w^3 y^3 z^3 -
 2 a^6 b^4 c^2 u^6 w^3 y^3 z^3 - 4 a^4 b^6 c^2 u^6 w^3 y^3 z^3 +
 6 a^2 b^8 c^2 u^6 w^3 y^3 z^3 + 4 a^4 b^4 c^4 u^6 w^3 y^3 z^3 -
 6 a^2 b^6 c^4 u^6 w^3 y^3 z^3 - 6 b^8 c^4 u^6 w^3 y^3 z^3 +
 2 a^2 b^4 c^6 u^6 w^3 y^3 z^3 + 8 b^6 c^6 u^6 w^3 y^3 z^3 -
 3 b^4 c^8 u^6 w^3 y^3 z^3 + 7 a^12 u^5 v w^3 y^3 z^3 -
 11 a^10 b^2 u^5 v w^3 y^3 z^3 - 2 a^6 b^6 u^5 v w^3 y^3 z^3 +
 11 a^4 b^8 u^5 v w^3 y^3 z^3 - 3 a^2 b^10 u^5 v w^3 y^3 z^3 -
 2 b^12 u^5 v w^3 y^3 z^3 - 33 a^10 c^2 u^5 v w^3 y^3 z^3 +
 32 a^8 b^2 c^2 u^5 v w^3 y^3 z^3 +
 18 a^6 b^4 c^2 u^5 v w^3 y^3 z^3 - 24 a^4 b^6 c^2 u^5 v w^3 y^3 z^3 -
  a^2 b^8 c^2 u^5 v w^3 y^3 z^3 + 8 b^10 c^2 u^5 v w^3 y^3 z^3 +
 60 a^8 c^4 u^5 v w^3 y^3 z^3 - 38 a^6 b^2 c^4 u^5 v w^3 y^3 z^3 -
 34 a^4 b^4 c^4 u^5 v w^3 y^3 z^3 - 6 a^2 b^6 c^4 u^5 v w^3 y^3 z^3 -
 14 b^8 c^4 u^5 v w^3 y^3 z^3 - 50 a^6 c^6 u^5 v w^3 y^3 z^3 +
 32 a^4 b^2 c^6 u^5 v w^3 y^3 z^3 +
 30 a^2 b^4 c^6 u^5 v w^3 y^3 z^3 + 16 b^6 c^6 u^5 v w^3 y^3 z^3 +
 15 a^4 c^8 u^5 v w^3 y^3 z^3 - 23 a^2 b^2 c^8 u^5 v w^3 y^3 z^3 -
 14 b^4 c^8 u^5 v w^3 y^3 z^3 + 3 a^2 c^10 u^5 v w^3 y^3 z^3 +
 8 b^2 c^10 u^5 v w^3 y^3 z^3 - 2 c^12 u^5 v w^3 y^3 z^3 +
 14 a^12 u^4 v^2 w^3 y^3 z^3 - 9 a^10 b^2 u^4 v^2 w^3 y^3 z^3 -
 41 a^8 b^4 u^4 v^2 w^3 y^3 z^3 + 38 a^6 b^6 u^4 v^2 w^3 y^3 z^3 +
 12 a^4 b^8 u^4 v^2 w^3 y^3 z^3 - 13 a^2 b^10 u^4 v^2 w^3 y^3 z^3 -
 b^12 u^4 v^2 w^3 y^3 z^3 - 57 a^10 c^2 u^4 v^2 w^3 y^3 z^3 +
 46 a^8 b^2 c^2 u^4 v^2 w^3 y^3 z^3 +
 38 a^6 b^4 c^2 u^4 v^2 w^3 y^3 z^3 -
 76 a^4 b^6 c^2 u^4 v^2 w^3 y^3 z^3 +
 43 a^2 b^8 c^2 u^4 v^2 w^3 y^3 z^3 +
 6 b^10 c^2 u^4 v^2 w^3 y^3 z^3 + 87 a^8 c^4 u^4 v^2 w^3 y^3 z^3 -
 66 a^6 b^2 c^4 u^4 v^2 w^3 y^3 z^3 +
 16 a^4 b^4 c^4 u^4 v^2 w^3 y^3 z^3 -
 54 a^2 b^6 c^4 u^4 v^2 w^3 y^3 z^3 -
 15 b^8 c^4 u^4 v^2 w^3 y^3 z^3 - 58 a^6 c^6 u^4 v^2 w^3 y^3 z^3 +
 36 a^4 b^2 c^6 u^4 v^2 w^3 y^3 z^3 +
 34 a^2 b^4 c^6 u^4 v^2 w^3 y^3 z^3 +
 20 b^6 c^6 u^4 v^2 w^3 y^3 z^3 + 12 a^4 c^8 u^4 v^2 w^3 y^3 z^3 -
 13 a^2 b^2 c^8 u^4 v^2 w^3 y^3 z^3 -
 15 b^4 c^8 u^4 v^2 w^3 y^3 z^3 + 3 a^2 c^10 u^4 v^2 w^3 y^3 z^3 +
 6 b^2 c^10 u^4 v^2 w^3 y^3 z^3 - c^12 u^4 v^2 w^3 y^3 z^3 +
 22 a^10 b^2 u^3 v^3 w^3 y^3 z^3 - 60 a^8 b^4 u^3 v^3 w^3 y^3 z^3 +
 48 a^6 b^6 u^3 v^3 w^3 y^3 z^3 - 4 a^4 b^8 u^3 v^3 w^3 y^3 z^3 -
 6 a^2 b^10 u^3 v^3 w^3 y^3 z^3 - 22 a^10 c^2 u^3 v^3 w^3 y^3 z^3 -
 16 a^6 b^4 c^2 u^3 v^3 w^3 y^3 z^3 +
 8 a^4 b^6 c^2 u^3 v^3 w^3 y^3 z^3 +
 30 a^2 b^8 c^2 u^3 v^3 w^3 y^3 z^3 +
 60 a^8 c^4 u^3 v^3 w^3 y^3 z^3 +
 16 a^6 b^2 c^4 u^3 v^3 w^3 y^3 z^3 -
 60 a^2 b^6 c^4 u^3 v^3 w^3 y^3 z^3 -
 48 a^6 c^6 u^3 v^3 w^3 y^3 z^3 - 8 a^4 b^2 c^6 u^3 v^3 w^3 y^3 z^3 +
 60 a^2 b^4 c^6 u^3 v^3 w^3 y^3 z^3 + 4 a^4 c^8 u^3 v^3 w^3 y^3 z^3 -
 30 a^2 b^2 c^8 u^3 v^3 w^3 y^3 z^3 +
 6 a^2 c^10 u^3 v^3 w^3 y^3 z^3 - 15 a^12 u^2 v^4 w^3 y^3 z^3 +
 46 a^10 b^2 u^2 v^4 w^3 y^3 z^3 - 48 a^8 b^4 u^2 v^4 w^3 y^3 z^3 +
 18 a^6 b^6 u^2 v^4 w^3 y^3 z^3 - a^4 b^8 u^2 v^4 w^3 y^3 z^3 -
 2 a^10 c^2 u^2 v^4 w^3 y^3 z^3 -
 16 a^8 b^2 c^2 u^2 v^4 w^3 y^3 z^3 +
 14 a^6 b^4 c^2 u^2 v^4 w^3 y^3 z^3 +
 4 a^4 b^6 c^2 u^2 v^4 w^3 y^3 z^3 + 48 a^8 c^4 u^2 v^4 w^3 y^3 z^3 -
 2 a^6 b^2 c^4 u^2 v^4 w^3 y^3 z^3 -
 6 a^4 b^4 c^4 u^2 v^4 w^3 y^3 z^3 - 30 a^6 c^6 u^2 v^4 w^3 y^3 z^3 +
 4 a^4 b^2 c^6 u^2 v^4 w^3 y^3 z^3 - a^4 c^8 u^2 v^4 w^3 y^3 z^3 -
 4 a^12 u v^5 w^3 y^3 z^3 + 8 a^10 b^2 u v^5 w^3 y^3 z^3 -
 8 a^6 b^6 u v^5 w^3 y^3 z^3 + 4 a^4 b^8 u v^5 w^3 y^3 z^3 +
 16 a^6 b^4 c^2 u v^5 w^3 y^3 z^3 -
 16 a^4 b^6 c^2 u v^5 w^3 y^3 z^3 - 8 a^6 b^2 c^4 u v^5 w^3 y^3 z^3 +
 24 a^4 b^4 c^4 u v^5 w^3 y^3 z^3 -
 16 a^4 b^2 c^6 u v^5 w^3 y^3 z^3 + 4 a^4 c^8 u v^5 w^3 y^3 z^3 -
 6 a^8 b^4 u^5 w^4 y^3 z^3 + 4 a^6 b^6 u^5 w^4 y^3 z^3 +
 8 a^4 b^8 u^5 w^4 y^3 z^3 - 4 a^2 b^10 u^5 w^4 y^3 z^3 -
 2 b^12 u^5 w^4 y^3 z^3 - 24 a^4 b^6 c^2 u^5 w^4 y^3 z^3 +
 8 b^10 c^2 u^5 w^4 y^3 z^3 + 16 a^4 b^4 c^4 u^5 w^4 y^3 z^3 +
 12 a^2 b^6 c^4 u^5 w^4 y^3 z^3 - 12 b^8 c^4 u^5 w^4 y^3 z^3 -
 8 a^2 b^4 c^6 u^5 w^4 y^3 z^3 + 8 b^6 c^6 u^5 w^4 y^3 z^3 -
 2 b^4 c^8 u^5 w^4 y^3 z^3 + 8 a^12 u^4 v w^4 y^3 z^3 -
 11 a^10 b^2 u^4 v w^4 y^3 z^3 - 3 a^8 b^4 u^4 v w^4 y^3 z^3 +
 4 a^6 b^6 u^4 v w^4 y^3 z^3 + 4 a^4 b^8 u^4 v w^4 y^3 z^3 -
 a^2 b^10 u^4 v w^4 y^3 z^3 - b^12 u^4 v w^4 y^3 z^3 -
 39 a^10 c^2 u^4 v w^4 y^3 z^3 + 10 a^8 b^2 c^2 u^4 v w^4 y^3 z^3 -
 4 a^6 b^4 c^2 u^4 v w^4 y^3 z^3 - 12 a^4 b^6 c^2 u^4 v w^4 y^3 z^3 +
 7 a^2 b^8 c^2 u^4 v w^4 y^3 z^3 + 6 b^10 c^2 u^4 v w^4 y^3 z^3 +
 75 a^8 c^4 u^4 v w^4 y^3 z^3 + 30 a^6 b^2 c^4 u^4 v w^4 y^3 z^3 +
 18 a^4 b^4 c^4 u^4 v w^4 y^3 z^3 -
 12 a^2 b^6 c^4 u^4 v w^4 y^3 z^3 - 15 b^8 c^4 u^4 v w^4 y^3 z^3 -
 70 a^6 c^6 u^4 v w^4 y^3 z^3 - 40 a^4 b^2 c^6 u^4 v w^4 y^3 z^3 +
 4 a^2 b^4 c^6 u^4 v w^4 y^3 z^3 + 20 b^6 c^6 u^4 v w^4 y^3 z^3 +
 30 a^4 c^8 u^4 v w^4 y^3 z^3 + 5 a^2 b^2 c^8 u^4 v w^4 y^3 z^3 -
 15 b^4 c^8 u^4 v w^4 y^3 z^3 - 3 a^2 c^10 u^4 v w^4 y^3 z^3 +
 6 b^2 c^10 u^4 v w^4 y^3 z^3 - c^12 u^4 v w^4 y^3 z^3 +
 18 a^12 u^3 v^2 w^4 y^3 z^3 - 40 a^8 b^4 u^3 v^2 w^4 y^3 z^3 +
 8 a^6 b^6 u^3 v^2 w^4 y^3 z^3 + 14 a^4 b^8 u^3 v^2 w^4 y^3 z^3 -
 72 a^10 c^2 u^3 v^2 w^4 y^3 z^3 -
 8 a^8 b^2 c^2 u^3 v^2 w^4 y^3 z^3 +
 48 a^6 b^4 c^2 u^3 v^2 w^4 y^3 z^3 +
 108 a^8 c^4 u^3 v^2 w^4 y^3 z^3 +
 16 a^6 b^2 c^4 u^3 v^2 w^4 y^3 z^3 -
 24 a^4 b^4 c^4 u^3 v^2 w^4 y^3 z^3 -
 72 a^6 c^6 u^3 v^2 w^4 y^3 z^3 - 8 a^4 b^2 c^6 u^3 v^2 w^4 y^3 z^3 +
 18 a^4 c^8 u^3 v^2 w^4 y^3 z^3 + 15 a^12 u^2 v^3 w^4 y^3 z^3 +
 2 a^10 b^2 u^2 v^3 w^4 y^3 z^3 - 48 a^8 b^4 u^2 v^3 w^4 y^3 z^3 +
 30 a^6 b^6 u^2 v^3 w^4 y^3 z^3 + a^4 b^8 u^2 v^3 w^4 y^3 z^3 -
 46 a^10 c^2 u^2 v^3 w^4 y^3 z^3 +
 16 a^8 b^2 c^2 u^2 v^3 w^4 y^3 z^3 +
 2 a^6 b^4 c^2 u^2 v^3 w^4 y^3 z^3 -
 4 a^4 b^6 c^2 u^2 v^3 w^4 y^3 z^3 + 48 a^8 c^4 u^2 v^3 w^4 y^3 z^3 -
 14 a^6 b^2 c^4 u^2 v^3 w^4 y^3 z^3 +
 6 a^4 b^4 c^4 u^2 v^3 w^4 y^3 z^3 - 18 a^6 c^6 u^2 v^3 w^4 y^3 z^3 -
 4 a^4 b^2 c^6 u^2 v^3 w^4 y^3 z^3 + a^4 c^8 u^2 v^3 w^4 y^3 z^3 +
 4 a^10 b^2 u v^4 w^4 y^3 z^3 - 8 a^8 b^4 u v^4 w^4 y^3 z^3 +
 4 a^6 b^6 u v^4 w^4 y^3 z^3 - 4 a^10 c^2 u v^4 w^4 y^3 z^3 -
 12 a^6 b^4 c^2 u v^4 w^4 y^3 z^3 + 8 a^8 c^4 u v^4 w^4 y^3 z^3 +
 12 a^6 b^2 c^4 u v^4 w^4 y^3 z^3 - 4 a^6 c^6 u v^4 w^4 y^3 z^3 -
 10 a^8 b^4 u^4 w^5 y^3 z^3 - 6 a^6 b^6 u^4 w^5 y^3 z^3 +
 10 a^4 b^8 u^4 w^5 y^3 z^3 + 6 a^2 b^10 u^4 w^5 y^3 z^3 +
 14 a^6 b^4 c^2 u^4 w^5 y^3 z^3 - 12 a^4 b^6 c^2 u^4 w^5 y^3 z^3 -
 18 a^2 b^8 c^2 u^4 w^5 y^3 z^3 + 2 a^4 b^4 c^4 u^4 w^5 y^3 z^3 +
 18 a^2 b^6 c^4 u^4 w^5 y^3 z^3 - 6 a^2 b^4 c^6 u^4 w^5 y^3 z^3 +
 3 a^12 u^3 v w^5 y^3 z^3 - 13 a^10 b^2 u^3 v w^5 y^3 z^3 -
 14 a^8 b^4 u^3 v w^5 y^3 z^3 + 10 a^6 b^6 u^3 v w^5 y^3 z^3 +
 11 a^4 b^8 u^3 v w^5 y^3 z^3 + 3 a^2 b^10 u^3 v w^5 y^3 z^3 -
 15 a^10 c^2 u^3 v w^5 y^3 z^3 + 24 a^8 b^2 c^2 u^3 v w^5 y^3 z^3 +
 14 a^6 b^4 c^2 u^3 v w^5 y^3 z^3 -
 24 a^4 b^6 c^2 u^3 v w^5 y^3 z^3 -
 15 a^2 b^8 c^2 u^3 v w^5 y^3 z^3 + 30 a^8 c^4 u^3 v w^5 y^3 z^3 +
 6 a^6 b^2 c^4 u^3 v w^5 y^3 z^3 + 30 a^4 b^4 c^4 u^3 v w^5 y^3 z^3 +
 30 a^2 b^6 c^4 u^3 v w^5 y^3 z^3 - 30 a^6 c^6 u^3 v w^5 y^3 z^3 -
 32 a^4 b^2 c^6 u^3 v w^5 y^3 z^3 -
 30 a^2 b^4 c^6 u^3 v w^5 y^3 z^3 + 15 a^4 c^8 u^3 v w^5 y^3 z^3 +
 15 a^2 b^2 c^8 u^3 v w^5 y^3 z^3 - 3 a^2 c^10 u^3 v w^5 y^3 z^3 +
 3 a^12 u^2 v^2 w^5 y^3 z^3 - 6 a^10 b^2 u^2 v^2 w^5 y^3 z^3 -
 4 a^8 b^4 u^2 v^2 w^5 y^3 z^3 + 14 a^6 b^6 u^2 v^2 w^5 y^3 z^3 -
 7 a^4 b^8 u^2 v^2 w^5 y^3 z^3 - 12 a^10 c^2 u^2 v^2 w^5 y^3 z^3 +
 10 a^8 b^2 c^2 u^2 v^2 w^5 y^3 z^3 +
 18 a^4 b^6 c^2 u^2 v^2 w^5 y^3 z^3 +
 18 a^8 c^4 u^2 v^2 w^5 y^3 z^3 - 2 a^6 b^2 c^4 u^2 v^2 w^5 y^3 z^3 -
 12 a^4 b^4 c^4 u^2 v^2 w^5 y^3 z^3 -
 12 a^6 c^6 u^2 v^2 w^5 y^3 z^3 - 2 a^4 b^2 c^6 u^2 v^2 w^5 y^3 z^3 +
 3 a^4 c^8 u^2 v^2 w^5 y^3 z^3 + 4 a^12 u v^3 w^5 y^3 z^3 -
 4 a^4 b^8 u v^3 w^5 y^3 z^3 - 8 a^10 c^2 u v^3 w^5 y^3 z^3 +
 8 a^6 b^4 c^2 u v^3 w^5 y^3 z^3 + 16 a^4 b^6 c^2 u v^3 w^5 y^3 z^3 -
 16 a^6 b^2 c^4 u v^3 w^5 y^3 z^3 -
 24 a^4 b^4 c^4 u v^3 w^5 y^3 z^3 + 8 a^6 c^6 u v^3 w^5 y^3 z^3 +
 16 a^4 b^2 c^6 u v^3 w^5 y^3 z^3 - 4 a^4 c^8 u v^3 w^5 y^3 z^3 -
 4 a^8 b^4 u^3 w^6 y^3 z^3 - 8 a^6 b^6 u^3 w^6 y^3 z^3 -
 4 a^4 b^8 u^3 w^6 y^3 z^3 + 8 a^6 b^4 c^2 u^3 w^6 y^3 z^3 +
 8 a^4 b^6 c^2 u^3 w^6 y^3 z^3 - 4 a^4 b^4 c^4 u^3 w^6 y^3 z^3 -
 6 a^10 b^2 u^2 v w^6 y^3 z^3 - 10 a^8 b^4 u^2 v w^6 y^3 z^3 -
 10 a^6 b^6 u^2 v w^6 y^3 z^3 - 6 a^4 b^8 u^2 v w^6 y^3 z^3 +
 18 a^8 b^2 c^2 u^2 v w^6 y^3 z^3 +
 28 a^6 b^4 c^2 u^2 v w^6 y^3 z^3 +
 18 a^4 b^6 c^2 u^2 v w^6 y^3 z^3 -
 18 a^6 b^2 c^4 u^2 v w^6 y^3 z^3 -
 18 a^4 b^4 c^4 u^2 v w^6 y^3 z^3 + 6 a^4 b^2 c^6 u^2 v w^6 y^3 z^3 -
 2 a^12 u v^2 w^6 y^3 z^3 - 4 a^10 b^2 u v^2 w^6 y^3 z^3 -
 4 a^8 b^4 u v^2 w^6 y^3 z^3 - 4 a^6 b^6 u v^2 w^6 y^3 z^3 -
 2 a^4 b^8 u v^2 w^6 y^3 z^3 + 8 a^10 c^2 u v^2 w^6 y^3 z^3 +
 16 a^8 b^2 c^2 u v^2 w^6 y^3 z^3 +
 16 a^6 b^4 c^2 u v^2 w^6 y^3 z^3 + 8 a^4 b^6 c^2 u v^2 w^6 y^3 z^3 -
 12 a^8 c^4 u v^2 w^6 y^3 z^3 - 20 a^6 b^2 c^4 u v^2 w^6 y^3 z^3 -
 12 a^4 b^4 c^4 u v^2 w^6 y^3 z^3 + 8 a^6 c^6 u v^2 w^6 y^3 z^3 +
 8 a^4 b^2 c^6 u v^2 w^6 y^3 z^3 - 2 a^4 c^8 u v^2 w^6 y^3 z^3 -
 4 a^4 b^4 c^4 u^6 v^3 x^2 z^4 + 4 b^8 c^4 u^6 v^3 x^2 z^4 +
 8 a^2 b^4 c^6 u^6 v^3 x^2 z^4 - 4 b^4 c^8 u^6 v^3 x^2 z^4 -
 4 a^6 b^2 c^4 u^5 v^4 x^2 z^4 - 12 a^4 b^4 c^4 u^5 v^4 x^2 z^4 +
 12 a^2 b^6 c^4 u^5 v^4 x^2 z^4 + 4 b^8 c^4 u^5 v^4 x^2 z^4 +
 12 a^4 b^2 c^6 u^5 v^4 x^2 z^4 + 16 a^2 b^4 c^6 u^5 v^4 x^2 z^4 -
 4 b^6 c^6 u^5 v^4 x^2 z^4 - 12 a^2 b^2 c^8 u^5 v^4 x^2 z^4 -
 4 b^4 c^8 u^5 v^4 x^2 z^4 + 4 b^2 c^10 u^5 v^4 x^2 z^4 -
 a^8 c^4 u^4 v^5 x^2 z^4 - 10 a^6 b^2 c^4 u^4 v^5 x^2 z^4 +
 10 a^2 b^6 c^4 u^4 v^5 x^2 z^4 + b^8 c^4 u^4 v^5 x^2 z^4 +
 4 a^6 c^6 u^4 v^5 x^2 z^4 + 22 a^4 b^2 c^6 u^4 v^5 x^2 z^4 -
 2 b^6 c^6 u^4 v^5 x^2 z^4 - 6 a^4 c^8 u^4 v^5 x^2 z^4 -
 14 a^2 b^2 c^8 u^4 v^5 x^2 z^4 + 4 a^2 c^10 u^4 v^5 x^2 z^4 +
 2 b^2 c^10 u^4 v^5 x^2 z^4 - c^12 u^4 v^5 x^2 z^4 -
 2 a^8 c^4 u^3 v^6 x^2 z^4 - 2 a^6 b^2 c^4 u^3 v^6 x^2 z^4 +
 2 a^4 b^4 c^4 u^3 v^6 x^2 z^4 + 2 a^2 b^6 c^4 u^3 v^6 x^2 z^4 +
 6 a^6 c^6 u^3 v^6 x^2 z^4 + 4 a^4 b^2 c^6 u^3 v^6 x^2 z^4 -
 2 a^2 b^4 c^6 u^3 v^6 x^2 z^4 - 6 a^4 c^8 u^3 v^6 x^2 z^4 -
 2 a^2 b^2 c^8 u^3 v^6 x^2 z^4 + 2 a^2 c^10 u^3 v^6 x^2 z^4 +
 6 a^6 b^4 c^2 u^6 v^2 w x^2 z^4 - 10 a^4 b^6 c^2 u^6 v^2 w x^2 z^4 +
 2 a^2 b^8 c^2 u^6 v^2 w x^2 z^4 + 2 b^10 c^2 u^6 v^2 w x^2 z^4 -
 18 a^4 b^4 c^4 u^6 v^2 w x^2 z^4 +
 12 a^2 b^6 c^4 u^6 v^2 w x^2 z^4 + 6 b^8 c^4 u^6 v^2 w x^2 z^4 +
 18 a^2 b^4 c^6 u^6 v^2 w x^2 z^4 - 2 b^6 c^6 u^6 v^2 w x^2 z^4 -
 6 b^4 c^8 u^6 v^2 w x^2 z^4 - 3 a^10 b^2 u^5 v^3 w x^2 z^4 +
 11 a^8 b^4 u^5 v^3 w x^2 z^4 - 14 a^6 b^6 u^5 v^3 w x^2 z^4 +
 6 a^4 b^8 u^5 v^3 w x^2 z^4 + a^2 b^10 u^5 v^3 w x^2 z^4 -
 b^12 u^5 v^3 w x^2 z^4 + 16 a^8 b^2 c^2 u^5 v^3 w x^2 z^4 -
 16 a^6 b^4 c^2 u^5 v^3 w x^2 z^4 -
 16 a^4 b^6 c^2 u^5 v^3 w x^2 z^4 +
 16 a^2 b^8 c^2 u^5 v^3 w x^2 z^4 -
 34 a^6 b^2 c^4 u^5 v^3 w x^2 z^4 -
 10 a^4 b^4 c^4 u^5 v^3 w x^2 z^4 +
 26 a^2 b^6 c^4 u^5 v^3 w x^2 z^4 + 2 b^8 c^4 u^5 v^3 w x^2 z^4 +
 36 a^4 b^2 c^6 u^5 v^3 w x^2 z^4 +
 24 a^2 b^4 c^6 u^5 v^3 w x^2 z^4 + 4 b^6 c^6 u^5 v^3 w x^2 z^4 -
 19 a^2 b^2 c^8 u^5 v^3 w x^2 z^4 - 9 b^4 c^8 u^5 v^3 w x^2 z^4 +
 4 b^2 c^10 u^5 v^3 w x^2 z^4 - a^12 u^4 v^4 w x^2 z^4 -
 5 a^10 b^2 u^4 v^4 w x^2 z^4 + 28 a^8 b^4 u^4 v^4 w x^2 z^4 -
 42 a^6 b^6 u^4 v^4 w x^2 z^4 + 23 a^4 b^8 u^4 v^4 w x^2 z^4 -
 a^2 b^10 u^4 v^4 w x^2 z^4 - 2 b^12 u^4 v^4 w x^2 z^4 +
 6 a^10 c^2 u^4 v^4 w x^2 z^4 + 22 a^8 b^2 c^2 u^4 v^4 w x^2 z^4 -
 56 a^6 b^4 c^2 u^4 v^4 w x^2 z^4 +
 24 a^4 b^6 c^2 u^4 v^4 w x^2 z^4 + 2 a^2 b^8 c^2 u^4 v^4 w x^2 z^4 +
 2 b^10 c^2 u^4 v^4 w x^2 z^4 - 15 a^8 c^4 u^4 v^4 w x^2 z^4 -
 44 a^6 b^2 c^4 u^4 v^4 w x^2 z^4 +
 14 a^4 b^4 c^4 u^4 v^4 w x^2 z^4 - 4 a^2 b^6 c^4 u^4 v^4 w x^2 z^4 +
 b^8 c^4 u^4 v^4 w x^2 z^4 + 20 a^6 c^6 u^4 v^4 w x^2 z^4 +
 50 a^4 b^2 c^6 u^4 v^4 w x^2 z^4 +
 28 a^2 b^4 c^6 u^4 v^4 w x^2 z^4 + 6 b^6 c^6 u^4 v^4 w x^2 z^4 -
 15 a^4 c^8 u^4 v^4 w x^2 z^4 - 31 a^2 b^2 c^8 u^4 v^4 w x^2 z^4 -
 14 b^4 c^8 u^4 v^4 w x^2 z^4 + 6 a^2 c^10 u^4 v^4 w x^2 z^4 +
 8 b^2 c^10 u^4 v^4 w x^2 z^4 - c^12 u^4 v^4 w x^2 z^4 -
 2 a^12 u^3 v^5 w x^2 z^4 - a^10 b^2 u^3 v^5 w x^2 z^4 +
 23 a^8 b^4 u^3 v^5 w x^2 z^4 - 42 a^6 b^6 u^3 v^5 w x^2 z^4 +
 28 a^4 b^8 u^3 v^5 w x^2 z^4 - 5 a^2 b^10 u^3 v^5 w x^2 z^4 -
 b^12 u^3 v^5 w x^2 z^4 + 10 a^10 c^2 u^3 v^5 w x^2 z^4 -
 6 a^8 b^2 c^2 u^3 v^5 w x^2 z^4 - 12 a^6 b^4 c^2 u^3 v^5 w x^2 z^4 +
 4 a^4 b^6 c^2 u^3 v^5 w x^2 z^4 + 2 a^2 b^8 c^2 u^3 v^5 w x^2 z^4 +
 2 b^10 c^2 u^3 v^5 w x^2 z^4 - 22 a^8 c^4 u^3 v^5 w x^2 z^4 -
 2 a^6 b^2 c^4 u^3 v^5 w x^2 z^4 - 26 a^4 b^4 c^4 u^3 v^5 w x^2 z^4 +
 2 a^2 b^6 c^4 u^3 v^5 w x^2 z^4 + 28 a^6 c^6 u^3 v^5 w x^2 z^4 +
 32 a^4 b^2 c^6 u^3 v^5 w x^2 z^4 +
 20 a^2 b^4 c^6 u^3 v^5 w x^2 z^4 - 22 a^4 c^8 u^3 v^5 w x^2 z^4 -
 29 a^2 b^2 c^8 u^3 v^5 w x^2 z^4 - 5 b^4 c^8 u^3 v^5 w x^2 z^4 +
 10 a^2 c^10 u^3 v^5 w x^2 z^4 + 6 b^2 c^10 u^3 v^5 w x^2 z^4 -
 2 c^12 u^3 v^5 w x^2 z^4 - a^12 u^2 v^6 w x^2 z^4 +
 a^10 b^2 u^2 v^6 w x^2 z^4 + 6 a^8 b^4 u^2 v^6 w x^2 z^4 -
 14 a^6 b^6 u^2 v^6 w x^2 z^4 + 11 a^4 b^8 u^2 v^6 w x^2 z^4 -
 3 a^2 b^10 u^2 v^6 w x^2 z^4 + 2 a^10 c^2 u^2 v^6 w x^2 z^4 -
 2 a^8 b^2 c^2 u^2 v^6 w x^2 z^4 + 2 a^6 b^4 c^2 u^2 v^6 w x^2 z^4 -
 6 a^4 b^6 c^2 u^2 v^6 w x^2 z^4 + 4 a^2 b^8 c^2 u^2 v^6 w x^2 z^4 -
 4 a^8 c^4 u^2 v^6 w x^2 z^4 - 6 a^6 b^2 c^4 u^2 v^6 w x^2 z^4 -
 8 a^4 b^4 c^4 u^2 v^6 w x^2 z^4 + 2 a^2 b^6 c^4 u^2 v^6 w x^2 z^4 +
 10 a^6 c^6 u^2 v^6 w x^2 z^4 + 14 a^4 b^2 c^6 u^2 v^6 w x^2 z^4 -
 11 a^4 c^8 u^2 v^6 w x^2 z^4 - 7 a^2 b^2 c^8 u^2 v^6 w x^2 z^4 +
 4 a^2 c^10 u^2 v^6 w x^2 z^4 - 2 a^8 b^4 u^6 v w^2 x^2 z^4 +
 6 a^6 b^6 u^6 v w^2 x^2 z^4 - 6 a^4 b^8 u^6 v w^2 x^2 z^4 +
 2 a^2 b^10 u^6 v w^2 x^2 z^4 + 8 a^6 b^4 c^2 u^6 v w^2 x^2 z^4 -
 14 a^4 b^6 c^2 u^6 v w^2 x^2 z^4 + 4 a^2 b^8 c^2 u^6 v w^2 x^2 z^4 +
 2 b^10 c^2 u^6 v w^2 x^2 z^4 - 12 a^4 b^4 c^4 u^6 v w^2 x^2 z^4 +
 10 a^2 b^6 c^4 u^6 v w^2 x^2 z^4 + 2 b^8 c^4 u^6 v w^2 x^2 z^4 +
 8 a^2 b^4 c^6 u^6 v w^2 x^2 z^4 - 2 b^6 c^6 u^6 v w^2 x^2 z^4 -
 2 b^4 c^8 u^6 v w^2 x^2 z^4 + 3 a^8 b^4 u^5 v^2 w^2 x^2 z^4 -
 6 a^6 b^6 u^5 v^2 w^2 x^2 z^4 + 6 a^2 b^10 u^5 v^2 w^2 x^2 z^4 -
 3 b^12 u^5 v^2 w^2 x^2 z^4 + 2 a^6 b^4 c^2 u^5 v^2 w^2 x^2 z^4 -
 8 a^4 b^6 c^2 u^5 v^2 w^2 x^2 z^4 +
 10 a^2 b^8 c^2 u^5 v^2 w^2 x^2 z^4 -
 4 b^10 c^2 u^5 v^2 w^2 x^2 z^4 -
 24 a^4 b^4 c^4 u^5 v^2 w^2 x^2 z^4 +
 2 a^2 b^6 c^4 u^5 v^2 w^2 x^2 z^4 + 6 b^8 c^4 u^5 v^2 w^2 x^2 z^4 +
 30 a^2 b^4 c^6 u^5 v^2 w^2 x^2 z^4 +
 12 b^6 c^6 u^5 v^2 w^2 x^2 z^4 - 11 b^4 c^8 u^5 v^2 w^2 x^2 z^4 -
 2 a^10 b^2 u^4 v^3 w^2 x^2 z^4 + 24 a^8 b^4 u^4 v^3 w^2 x^2 z^4 -
 56 a^6 b^6 u^4 v^3 w^2 x^2 z^4 + 44 a^4 b^8 u^4 v^3 w^2 x^2 z^4 -
 6 a^2 b^10 u^4 v^3 w^2 x^2 z^4 - 4 b^12 u^4 v^3 w^2 x^2 z^4 +
 14 a^8 b^2 c^2 u^4 v^3 w^2 x^2 z^4 -
 28 a^6 b^4 c^2 u^4 v^3 w^2 x^2 z^4 +
 36 a^4 b^6 c^2 u^4 v^3 w^2 x^2 z^4 -
 28 a^2 b^8 c^2 u^4 v^3 w^2 x^2 z^4 +
 6 b^10 c^2 u^4 v^3 w^2 x^2 z^4 -
 36 a^6 b^2 c^4 u^4 v^3 w^2 x^2 z^4 -
 28 a^4 b^4 c^4 u^4 v^3 w^2 x^2 z^4 +
 16 a^2 b^6 c^4 u^4 v^3 w^2 x^2 z^4 +
 44 a^4 b^2 c^6 u^4 v^3 w^2 x^2 z^4 +
 44 a^2 b^4 c^6 u^4 v^3 w^2 x^2 z^4 + 4 b^6 c^6 u^4 v^3 w^2 x^2 z^4 -
 26 a^2 b^2 c^8 u^4 v^3 w^2 x^2 z^4 -
 12 b^4 c^8 u^4 v^3 w^2 x^2 z^4 + 6 b^2 c^10 u^4 v^3 w^2 x^2 z^4 -
 2 a^12 u^3 v^4 w^2 x^2 z^4 - a^10 b^2 u^3 v^4 w^2 x^2 z^4 +
 27 a^8 b^4 u^3 v^4 w^2 x^2 z^4 - 54 a^6 b^6 u^3 v^4 w^2 x^2 z^4 +
 40 a^4 b^8 u^3 v^4 w^2 x^2 z^4 - 9 a^2 b^10 u^3 v^4 w^2 x^2 z^4 -
 b^12 u^3 v^4 w^2 x^2 z^4 + 12 a^10 c^2 u^3 v^4 w^2 x^2 z^4 +
 14 a^8 b^2 c^2 u^3 v^4 w^2 x^2 z^4 -
 16 a^6 b^4 c^2 u^3 v^4 w^2 x^2 z^4 -
 8 a^4 b^6 c^2 u^3 v^4 w^2 x^2 z^4 -
 4 a^2 b^8 c^2 u^3 v^4 w^2 x^2 z^4 + 2 b^10 c^2 u^3 v^4 w^2 x^2 z^4 -
 30 a^8 c^4 u^3 v^4 w^2 x^2 z^4 -
 42 a^6 b^2 c^4 u^3 v^4 w^2 x^2 z^4 -
 6 a^4 b^4 c^4 u^3 v^4 w^2 x^2 z^4 +
 30 a^2 b^6 c^4 u^3 v^4 w^2 x^2 z^4 +
 40 a^6 c^6 u^3 v^4 w^2 x^2 z^4 +
 52 a^4 b^2 c^6 u^3 v^4 w^2 x^2 z^4 -
 30 a^4 c^8 u^3 v^4 w^2 x^2 z^4 -
 29 a^2 b^2 c^8 u^3 v^4 w^2 x^2 z^4 - 5 b^4 c^8 u^3 v^4 w^2 x^2 z^4 +
 12 a^2 c^10 u^3 v^4 w^2 x^2 z^4 + 6 b^2 c^10 u^3 v^4 w^2 x^2 z^4 -
 2 c^12 u^3 v^4 w^2 x^2 z^4 - 3 a^12 u^2 v^5 w^2 x^2 z^4 -
 4 a^10 b^2 u^2 v^5 w^2 x^2 z^4 + 29 a^8 b^4 u^2 v^5 w^2 x^2 z^4 -
 34 a^6 b^6 u^2 v^5 w^2 x^2 z^4 + 13 a^4 b^8 u^2 v^5 w^2 x^2 z^4 -
 2 a^2 b^10 u^2 v^5 w^2 x^2 z^4 + b^12 u^2 v^5 w^2 x^2 z^4 +
 16 a^10 c^2 u^2 v^5 w^2 x^2 z^4 +
 2 a^8 b^2 c^2 u^2 v^5 w^2 x^2 z^4 -
 16 a^6 b^4 c^2 u^2 v^5 w^2 x^2 z^4 +
 6 a^4 b^6 c^2 u^2 v^5 w^2 x^2 z^4 -
 4 a^2 b^8 c^2 u^2 v^5 w^2 x^2 z^4 - 4 b^10 c^2 u^2 v^5 w^2 x^2 z^4 -
 35 a^8 c^4 u^2 v^5 w^2 x^2 z^4 + 2 a^6 b^2 c^4 u^2 v^5 w^2 x^2 z^4 -
 4 a^4 b^4 c^4 u^2 v^5 w^2 x^2 z^4 +
 16 a^2 b^6 c^4 u^2 v^5 w^2 x^2 z^4 + 5 b^8 c^4 u^2 v^5 w^2 x^2 z^4 +
 40 a^6 c^6 u^2 v^5 w^2 x^2 z^4 +
 10 a^4 b^2 c^6 u^2 v^5 w^2 x^2 z^4 -
 4 a^2 b^4 c^6 u^2 v^5 w^2 x^2 z^4 - 25 a^4 c^8 u^2 v^5 w^2 x^2 z^4 -
 14 a^2 b^2 c^8 u^2 v^5 w^2 x^2 z^4 - 5 b^4 c^8 u^2 v^5 w^2 x^2 z^4 +
 8 a^2 c^10 u^2 v^5 w^2 x^2 z^4 + 4 b^2 c^10 u^2 v^5 w^2 x^2 z^4 -
 c^12 u^2 v^5 w^2 x^2 z^4 - 2 a^12 u v^6 w^2 x^2 z^4 +
 a^10 b^2 u v^6 w^2 x^2 z^4 + 6 a^8 b^4 u v^6 w^2 x^2 z^4 -
 4 a^6 b^6 u v^6 w^2 x^2 z^4 - 4 a^4 b^8 u v^6 w^2 x^2 z^4 +
 3 a^2 b^10 u v^6 w^2 x^2 z^4 + 4 a^10 c^2 u v^6 w^2 x^2 z^4 -
 4 a^8 b^2 c^2 u v^6 w^2 x^2 z^4 + 2 a^6 b^4 c^2 u v^6 w^2 x^2 z^4 +
 8 a^4 b^6 c^2 u v^6 w^2 x^2 z^4 - 10 a^2 b^8 c^2 u v^6 w^2 x^2 z^4 -
 2 a^8 c^4 u v^6 w^2 x^2 z^4 - 8 a^4 b^4 c^4 u v^6 w^2 x^2 z^4 +
 10 a^2 b^6 c^4 u v^6 w^2 x^2 z^4 + 2 a^6 c^6 u v^6 w^2 x^2 z^4 +
 8 a^4 b^2 c^6 u v^6 w^2 x^2 z^4 - 4 a^4 c^8 u v^6 w^2 x^2 z^4 -
 5 a^2 b^2 c^8 u v^6 w^2 x^2 z^4 + 2 a^2 c^10 u v^6 w^2 x^2 z^4 -
 6 a^8 b^4 u^5 v w^3 x^2 z^4 + 8 a^6 b^6 u^5 v w^3 x^2 z^4 -
 2 b^12 u^5 v w^3 x^2 z^4 + 24 a^6 b^4 c^2 u^5 v w^3 x^2 z^4 -
 12 a^4 b^6 c^2 u^5 v w^3 x^2 z^4 - 8 a^2 b^8 c^2 u^5 v w^3 x^2 z^4 -
 4 b^10 c^2 u^5 v w^3 x^2 z^4 - 36 a^4 b^4 c^4 u^5 v w^3 x^2 z^4 +
 8 b^8 c^4 u^5 v w^3 x^2 z^4 + 24 a^2 b^4 c^6 u^5 v w^3 x^2 z^4 +
 4 b^6 c^6 u^5 v w^3 x^2 z^4 - 6 b^4 c^8 u^5 v w^3 x^2 z^4 +
 2 a^8 b^4 u^4 v^2 w^3 x^2 z^4 - 12 a^6 b^6 u^4 v^2 w^3 x^2 z^4 +
 20 a^4 b^8 u^4 v^2 w^3 x^2 z^4 - 12 a^2 b^10 u^4 v^2 w^3 x^2 z^4 +
 2 b^12 u^4 v^2 w^3 x^2 z^4 - 2 a^6 b^4 c^2 u^4 v^2 w^3 x^2 z^4 -
 14 a^4 b^6 c^2 u^4 v^2 w^3 x^2 z^4 -
 14 a^2 b^8 c^2 u^4 v^2 w^3 x^2 z^4 -
 2 b^10 c^2 u^4 v^2 w^3 x^2 z^4 - 6 a^4 b^4 c^4 u^4 v^2 w^3 x^2 z^4 +
 16 a^2 b^6 c^4 u^4 v^2 w^3 x^2 z^4 - 6 b^8 c^4 u^4 v^2 w^3 x^2 z^4 +
 10 a^2 b^4 c^6 u^4 v^2 w^3 x^2 z^4 +
 10 b^6 c^6 u^4 v^2 w^3 x^2 z^4 - 4 b^4 c^8 u^4 v^2 w^3 x^2 z^4 +
 6 a^10 b^2 u^3 v^3 w^3 x^2 z^4 + 19 a^8 b^4 u^3 v^3 w^3 x^2 z^4 -
 40 a^6 b^6 u^3 v^3 w^3 x^2 z^4 + 2 a^4 b^8 u^3 v^3 w^3 x^2 z^4 +
 10 a^2 b^10 u^3 v^3 w^3 x^2 z^4 + 3 b^12 u^3 v^3 w^3 x^2 z^4 -
 24 a^8 b^2 c^2 u^3 v^3 w^3 x^2 z^4 -
 52 a^6 b^4 c^2 u^3 v^3 w^3 x^2 z^4 +
 20 a^4 b^6 c^2 u^3 v^3 w^3 x^2 z^4 -
 28 a^2 b^8 c^2 u^3 v^3 w^3 x^2 z^4 -
 12 b^10 c^2 u^3 v^3 w^3 x^2 z^4 +
 36 a^6 b^2 c^4 u^3 v^3 w^3 x^2 z^4 +
 50 a^4 b^4 c^4 u^3 v^3 w^3 x^2 z^4 +
 32 a^2 b^6 c^4 u^3 v^3 w^3 x^2 z^4 +
 18 b^8 c^4 u^3 v^3 w^3 x^2 z^4 -
 24 a^4 b^2 c^6 u^3 v^3 w^3 x^2 z^4 -
 20 a^2 b^4 c^6 u^3 v^3 w^3 x^2 z^4 -
 12 b^6 c^6 u^3 v^3 w^3 x^2 z^4 + 6 a^2 b^2 c^8 u^3 v^3 w^3 x^2 z^4 +
 3 b^4 c^8 u^3 v^3 w^3 x^2 z^4 - a^12 u^2 v^4 w^3 x^2 z^4 +
 13 a^10 b^2 u^2 v^4 w^3 x^2 z^4 + 17 a^8 b^4 u^2 v^4 w^3 x^2 z^4 -
 50 a^6 b^6 u^2 v^4 w^3 x^2 z^4 + 5 a^4 b^8 u^2 v^4 w^3 x^2 z^4 +
 13 a^2 b^10 u^2 v^4 w^3 x^2 z^4 + 3 b^12 u^2 v^4 w^3 x^2 z^4 +
 6 a^10 c^2 u^2 v^4 w^3 x^2 z^4 -
 42 a^8 b^2 c^2 u^2 v^4 w^3 x^2 z^4 +
 8 a^4 b^6 c^2 u^2 v^4 w^3 x^2 z^4 -
 54 a^2 b^8 c^2 u^2 v^4 w^3 x^2 z^4 -
 14 b^10 c^2 u^2 v^4 w^3 x^2 z^4 - 15 a^8 c^4 u^2 v^4 w^3 x^2 z^4 +
 46 a^6 b^2 c^4 u^2 v^4 w^3 x^2 z^4 +
 18 a^4 b^4 c^4 u^2 v^4 w^3 x^2 z^4 +
 78 a^2 b^6 c^4 u^2 v^4 w^3 x^2 z^4 +
 25 b^8 c^4 u^2 v^4 w^3 x^2 z^4 + 20 a^6 c^6 u^2 v^4 w^3 x^2 z^4 -
 16 a^4 b^2 c^6 u^2 v^4 w^3 x^2 z^4 -
 40 a^2 b^4 c^6 u^2 v^4 w^3 x^2 z^4 -
 20 b^6 c^6 u^2 v^4 w^3 x^2 z^4 - 15 a^4 c^8 u^2 v^4 w^3 x^2 z^4 -
 3 a^2 b^2 c^8 u^2 v^4 w^3 x^2 z^4 + 5 b^4 c^8 u^2 v^4 w^3 x^2 z^4 +
 6 a^2 c^10 u^2 v^4 w^3 x^2 z^4 + 2 b^2 c^10 u^2 v^4 w^3 x^2 z^4 -
 c^12 u^2 v^4 w^3 x^2 z^4 + a^10 b^2 u v^5 w^3 x^2 z^4 +
 8 a^8 b^4 u v^5 w^3 x^2 z^4 - 10 a^6 b^6 u v^5 w^3 x^2 z^4 -
 8 a^4 b^8 u v^5 w^3 x^2 z^4 + 9 a^2 b^10 u v^5 w^3 x^2 z^4 +
 2 a^10 c^2 u v^5 w^3 x^2 z^4 - 34 a^2 b^8 c^2 u v^5 w^3 x^2 z^4 -
 8 a^8 c^4 u v^5 w^3 x^2 z^4 - 2 a^6 b^2 c^4 u v^5 w^3 x^2 z^4 +
 16 a^4 b^4 c^4 u v^5 w^3 x^2 z^4 +
 46 a^2 b^6 c^4 u v^5 w^3 x^2 z^4 + 12 a^6 c^6 u v^5 w^3 x^2 z^4 -
 24 a^2 b^4 c^6 u v^5 w^3 x^2 z^4 - 8 a^4 c^8 u v^5 w^3 x^2 z^4 +
 a^2 b^2 c^8 u v^5 w^3 x^2 z^4 + 2 a^2 c^10 u v^5 w^3 x^2 z^4 -
 a^12 v^6 w^3 x^2 z^4 + 2 a^8 b^4 v^6 w^3 x^2 z^4 -
 a^4 b^8 v^6 w^3 x^2 z^4 + 2 a^10 c^2 v^6 w^3 x^2 z^4 -
 2 a^8 b^2 c^2 v^6 w^3 x^2 z^4 - 2 a^6 b^4 c^2 v^6 w^3 x^2 z^4 +
 2 a^4 b^6 c^2 v^6 w^3 x^2 z^4 + 4 a^6 b^2 c^4 v^6 w^3 x^2 z^4 -
 2 a^6 c^6 v^6 w^3 x^2 z^4 - 2 a^4 b^2 c^6 v^6 w^3 x^2 z^4 +
 a^4 c^8 v^6 w^3 x^2 z^4 - 6 a^8 b^4 u^4 v w^4 x^2 z^4 -
 2 a^6 b^6 u^4 v w^4 x^2 z^4 + 2 a^4 b^8 u^4 v w^4 x^2 z^4 +
 2 a^2 b^10 u^4 v w^4 x^2 z^4 + 4 b^12 u^4 v w^4 x^2 z^4 +
 24 a^6 b^4 c^2 u^4 v w^4 x^2 z^4 +
 18 a^4 b^6 c^2 u^4 v w^4 x^2 z^4 + 4 a^2 b^8 c^2 u^4 v w^4 x^2 z^4 -
 6 b^10 c^2 u^4 v w^4 x^2 z^4 - 36 a^4 b^4 c^4 u^4 v w^4 x^2 z^4 -
 30 a^2 b^6 c^4 u^4 v w^4 x^2 z^4 - 6 b^8 c^4 u^4 v w^4 x^2 z^4 +
 24 a^2 b^4 c^6 u^4 v w^4 x^2 z^4 + 14 b^6 c^6 u^4 v w^4 x^2 z^4 -
 6 b^4 c^8 u^4 v w^4 x^2 z^4 - 5 a^8 b^4 u^3 v^2 w^4 x^2 z^4 -
 26 a^6 b^6 u^3 v^2 w^4 x^2 z^4 + 12 a^4 b^8 u^3 v^2 w^4 x^2 z^4 +
 18 a^2 b^10 u^3 v^2 w^4 x^2 z^4 + b^12 u^3 v^2 w^4 x^2 z^4 +
 14 a^6 b^4 c^2 u^3 v^2 w^4 x^2 z^4 +
 16 a^4 b^6 c^2 u^3 v^2 w^4 x^2 z^4 -
 34 a^2 b^8 c^2 u^3 v^2 w^4 x^2 z^4 -
 4 b^10 c^2 u^3 v^2 w^4 x^2 z^4 -
 12 a^4 b^4 c^4 u^3 v^2 w^4 x^2 z^4 +
 14 a^2 b^6 c^4 u^3 v^2 w^4 x^2 z^4 + 6 b^8 c^4 u^3 v^2 w^4 x^2 z^4 +
 2 a^2 b^4 c^6 u^3 v^2 w^4 x^2 z^4 - 4 b^6 c^6 u^3 v^2 w^4 x^2 z^4 +
 b^4 c^8 u^3 v^2 w^4 x^2 z^4 + 6 a^10 b^2 u^2 v^3 w^4 x^2 z^4 -
 6 a^8 b^4 u^2 v^3 w^4 x^2 z^4 - 16 a^6 b^6 u^2 v^3 w^4 x^2 z^4 +
 4 a^4 b^8 u^2 v^3 w^4 x^2 z^4 + 10 a^2 b^10 u^2 v^3 w^4 x^2 z^4 +
 2 b^12 u^2 v^3 w^4 x^2 z^4 - 26 a^8 b^2 c^2 u^2 v^3 w^4 x^2 z^4 -
 20 a^6 b^4 c^2 u^2 v^3 w^4 x^2 z^4 -
 36 a^4 b^6 c^2 u^2 v^3 w^4 x^2 z^4 -
 44 a^2 b^8 c^2 u^2 v^3 w^4 x^2 z^4 -
 10 b^10 c^2 u^2 v^3 w^4 x^2 z^4 +
 44 a^6 b^2 c^4 u^2 v^3 w^4 x^2 z^4 +
 68 a^4 b^4 c^4 u^2 v^3 w^4 x^2 z^4 +
 72 a^2 b^6 c^4 u^2 v^3 w^4 x^2 z^4 +
 20 b^8 c^4 u^2 v^3 w^4 x^2 z^4 -
 36 a^4 b^2 c^6 u^2 v^3 w^4 x^2 z^4 -
 52 a^2 b^4 c^6 u^2 v^3 w^4 x^2 z^4 -
 20 b^6 c^6 u^2 v^3 w^4 x^2 z^4 +
 14 a^2 b^2 c^8 u^2 v^3 w^4 x^2 z^4 +
 10 b^4 c^8 u^2 v^3 w^4 x^2 z^4 - 2 b^2 c^10 u^2 v^3 w^4 x^2 z^4 +
 7 a^10 b^2 u v^4 w^4 x^2 z^4 + 12 a^8 b^4 u v^4 w^4 x^2 z^4 -
 14 a^6 b^6 u v^4 w^4 x^2 z^4 - 12 a^4 b^8 u v^4 w^4 x^2 z^4 +
 7 a^2 b^10 u v^4 w^4 x^2 z^4 - 28 a^8 b^2 c^2 u v^4 w^4 x^2 z^4 -
 28 a^6 b^4 c^2 u v^4 w^4 x^2 z^4 - 4 a^4 b^6 c^2 u v^4 w^4 x^2 z^4 -
 28 a^2 b^8 c^2 u v^4 w^4 x^2 z^4 +
 42 a^6 b^2 c^4 u v^4 w^4 x^2 z^4 +
 44 a^4 b^4 c^4 u v^4 w^4 x^2 z^4 +
 42 a^2 b^6 c^4 u v^4 w^4 x^2 z^4 -
 28 a^4 b^2 c^6 u v^4 w^4 x^2 z^4 -
 28 a^2 b^4 c^6 u v^4 w^4 x^2 z^4 + 7 a^2 b^2 c^8 u v^4 w^4 x^2 z^4 +
 a^12 v^5 w^4 x^2 z^4 + 4 a^10 b^2 v^5 w^4 x^2 z^4 +
 2 a^8 b^4 v^5 w^4 x^2 z^4 - 4 a^6 b^6 v^5 w^4 x^2 z^4 -
 3 a^4 b^8 v^5 w^4 x^2 z^4 - 4 a^10 c^2 v^5 w^4 x^2 z^4 -
 8 a^8 b^2 c^2 v^5 w^4 x^2 z^4 + 4 a^6 b^4 c^2 v^5 w^4 x^2 z^4 +
 8 a^4 b^6 c^2 v^5 w^4 x^2 z^4 + 6 a^8 c^4 v^5 w^4 x^2 z^4 +
 4 a^6 b^2 c^4 v^5 w^4 x^2 z^4 - 6 a^4 b^4 c^4 v^5 w^4 x^2 z^4 -
 4 a^6 c^6 v^5 w^4 x^2 z^4 + a^4 c^8 v^5 w^4 x^2 z^4 -
 2 a^8 b^4 u^3 v w^5 x^2 z^4 - 4 a^6 b^6 u^3 v w^5 x^2 z^4 -
 4 a^4 b^8 u^3 v w^5 x^2 z^4 - 4 a^2 b^10 u^3 v w^5 x^2 z^4 -
 2 b^12 u^3 v w^5 x^2 z^4 + 8 a^6 b^4 c^2 u^3 v w^5 x^2 z^4 +
 16 a^4 b^6 c^2 u^3 v w^5 x^2 z^4 +
 16 a^2 b^8 c^2 u^3 v w^5 x^2 z^4 + 8 b^10 c^2 u^3 v w^5 x^2 z^4 -
 12 a^4 b^4 c^4 u^3 v w^5 x^2 z^4 -
 20 a^2 b^6 c^4 u^3 v w^5 x^2 z^4 - 12 b^8 c^4 u^3 v w^5 x^2 z^4 +
 8 a^2 b^4 c^6 u^3 v w^5 x^2 z^4 + 8 b^6 c^6 u^3 v w^5 x^2 z^4 -
 2 b^4 c^8 u^3 v w^5 x^2 z^4 - 4 a^8 b^4 u^2 v^2 w^5 x^2 z^4 -
 20 a^6 b^6 u^2 v^2 w^5 x^2 z^4 - 20 a^4 b^8 u^2 v^2 w^5 x^2 z^4 -
 4 a^2 b^10 u^2 v^2 w^5 x^2 z^4 +
 12 a^6 b^4 c^2 u^2 v^2 w^5 x^2 z^4 +
 32 a^4 b^6 c^2 u^2 v^2 w^5 x^2 z^4 +
 12 a^2 b^8 c^2 u^2 v^2 w^5 x^2 z^4 -
 12 a^4 b^4 c^4 u^2 v^2 w^5 x^2 z^4 -
 12 a^2 b^6 c^4 u^2 v^2 w^5 x^2 z^4 +
 4 a^2 b^4 c^6 u^2 v^2 w^5 x^2 z^4 + a^10 b^2 u v^3 w^5 x^2 z^4 -
 12 a^8 b^4 u v^3 w^5 x^2 z^4 - 26 a^6 b^6 u v^3 w^5 x^2 z^4 -
 12 a^4 b^8 u v^3 w^5 x^2 z^4 + a^2 b^10 u v^3 w^5 x^2 z^4 -
 4 a^8 b^2 c^2 u v^3 w^5 x^2 z^4 + 20 a^6 b^4 c^2 u v^3 w^5 x^2 z^4 +
 20 a^4 b^6 c^2 u v^3 w^5 x^2 z^4 - 4 a^2 b^8 c^2 u v^3 w^5 x^2 z^4 +
 6 a^6 b^2 c^4 u v^3 w^5 x^2 z^4 - 4 a^4 b^4 c^4 u v^3 w^5 x^2 z^4 +
 6 a^2 b^6 c^4 u v^3 w^5 x^2 z^4 - 4 a^4 b^2 c^6 u v^3 w^5 x^2 z^4 -
 4 a^2 b^4 c^6 u v^3 w^5 x^2 z^4 + a^2 b^2 c^8 u v^3 w^5 x^2 z^4 -
 2 a^10 b^2 v^4 w^5 x^2 z^4 - 6 a^8 b^4 v^4 w^5 x^2 z^4 -
 6 a^6 b^6 v^4 w^5 x^2 z^4 - 2 a^4 b^8 v^4 w^5 x^2 z^4 +
 6 a^8 b^2 c^2 v^4 w^5 x^2 z^4 + 12 a^6 b^4 c^2 v^4 w^5 x^2 z^4 +
 6 a^4 b^6 c^2 v^4 w^5 x^2 z^4 - 6 a^6 b^2 c^4 v^4 w^5 x^2 z^4 -
 6 a^4 b^4 c^4 v^4 w^5 x^2 z^4 + 2 a^4 b^2 c^6 v^4 w^5 x^2 z^4 -
 2 a^6 b^2 c^4 u^6 v^3 x y z^4 - 6 a^4 b^4 c^4 u^6 v^3 x y z^4 +
 2 a^2 b^6 c^4 u^6 v^3 x y z^4 + 6 b^8 c^4 u^6 v^3 x y z^4 +
 6 a^4 b^2 c^6 u^6 v^3 x y z^4 + 4 a^2 b^4 c^6 u^6 v^3 x y z^4 -
 10 b^6 c^6 u^6 v^3 x y z^4 - 6 a^2 b^2 c^8 u^6 v^3 x y z^4 +
 2 b^4 c^8 u^6 v^3 x y z^4 + 2 b^2 c^10 u^6 v^3 x y z^4 -
 a^8 c^4 u^5 v^4 x y z^4 - 14 a^6 b^2 c^4 u^5 v^4 x y z^4 -
 12 a^4 b^4 c^4 u^5 v^4 x y z^4 + 22 a^2 b^6 c^4 u^5 v^4 x y z^4 +
 5 b^8 c^4 u^5 v^4 x y z^4 + 4 a^6 c^6 u^5 v^4 x y z^4 +
 26 a^4 b^2 c^6 u^5 v^4 x y z^4 - 16 a^2 b^4 c^6 u^5 v^4 x y z^4 -
 14 b^6 c^6 u^5 v^4 x y z^4 - 6 a^4 c^8 u^5 v^4 x y z^4 -
 10 a^2 b^2 c^8 u^5 v^4 x y z^4 + 12 b^4 c^8 u^5 v^4 x y z^4 +
 4 a^2 c^10 u^5 v^4 x y z^4 - 2 b^2 c^10 u^5 v^4 x y z^4 -
 c^12 u^5 v^4 x y z^4 - 5 a^8 c^4 u^4 v^5 x y z^4 -
 22 a^6 b^2 c^4 u^4 v^5 x y z^4 + 12 a^4 b^4 c^4 u^4 v^5 x y z^4 +
 14 a^2 b^6 c^4 u^4 v^5 x y z^4 + b^8 c^4 u^4 v^5 x y z^4 +
 14 a^6 c^6 u^4 v^5 x y z^4 + 16 a^4 b^2 c^6 u^4 v^5 x y z^4 -
 26 a^2 b^4 c^6 u^4 v^5 x y z^4 - 4 b^6 c^6 u^4 v^5 x y z^4 -
 12 a^4 c^8 u^4 v^5 x y z^4 + 10 a^2 b^2 c^8 u^4 v^5 x y z^4 +
 6 b^4 c^8 u^4 v^5 x y z^4 + 2 a^2 c^10 u^4 v^5 x y z^4 -
 4 b^2 c^10 u^4 v^5 x y z^4 + c^12 u^4 v^5 x y z^4 -
 6 a^8 c^4 u^3 v^6 x y z^4 - 2 a^6 b^2 c^4 u^3 v^6 x y z^4 +
 6 a^4 b^4 c^4 u^3 v^6 x y z^4 + 2 a^2 b^6 c^4 u^3 v^6 x y z^4 +
 10 a^6 c^6 u^3 v^6 x y z^4 - 4 a^4 b^2 c^6 u^3 v^6 x y z^4 -
 6 a^2 b^4 c^6 u^3 v^6 x y z^4 - 2 a^4 c^8 u^3 v^6 x y z^4 +
 6 a^2 b^2 c^8 u^3 v^6 x y z^4 - 2 a^2 c^10 u^3 v^6 x y z^4 +
 3 a^10 b^2 u^6 v^2 w x y z^4 - 11 a^8 b^4 u^6 v^2 w x y z^4 +
 14 a^6 b^6 u^6 v^2 w x y z^4 - 6 a^4 b^8 u^6 v^2 w x y z^4 -
 a^2 b^10 u^6 v^2 w x y z^4 + b^12 u^6 v^2 w x y z^4 -
 7 a^8 b^2 c^2 u^6 v^2 w x y z^4 + 20 a^6 b^4 c^2 u^6 v^2 w x y z^4 -
 18 a^4 b^6 c^2 u^6 v^2 w x y z^4 + 4 a^2 b^8 c^2 u^6 v^2 w x y z^4 +
 b^10 c^2 u^6 v^2 w x y z^4 - 2 a^6 b^2 c^4 u^6 v^2 w x y z^4 -
 6 a^4 b^4 c^4 u^6 v^2 w x y z^4 + 18 a^2 b^6 c^4 u^6 v^2 w x y z^4 +
 6 b^8 c^4 u^6 v^2 w x y z^4 + 18 a^4 b^2 c^6 u^6 v^2 w x y z^4 -
 4 a^2 b^4 c^6 u^6 v^2 w x y z^4 - 14 b^6 c^6 u^6 v^2 w x y z^4 -
 17 a^2 b^2 c^8 u^6 v^2 w x y z^4 + b^4 c^8 u^6 v^2 w x y z^4 +
 5 b^2 c^10 u^6 v^2 w x y z^4 + a^12 u^5 v^3 w x y z^4 +
 2 a^10 b^2 u^5 v^3 w x y z^4 - 17 a^8 b^4 u^5 v^3 w x y z^4 +
 28 a^6 b^6 u^5 v^3 w x y z^4 - 17 a^4 b^8 u^5 v^3 w x y z^4 +
 2 a^2 b^10 u^5 v^3 w x y z^4 + b^12 u^5 v^3 w x y z^4 -
 3 a^10 c^2 u^5 v^3 w x y z^4 + 5 a^8 b^2 c^2 u^5 v^3 w x y z^4 +
 10 a^6 b^4 c^2 u^5 v^3 w x y z^4 -
 30 a^4 b^6 c^2 u^5 v^3 w x y z^4 +
 25 a^2 b^8 c^2 u^5 v^3 w x y z^4 - 7 b^10 c^2 u^5 v^3 w x y z^4 -
 30 a^6 b^2 c^4 u^5 v^3 w x y z^4 +
 30 a^4 b^4 c^4 u^5 v^3 w x y z^4 +
 14 a^2 b^6 c^4 u^5 v^3 w x y z^4 + 18 b^8 c^4 u^5 v^3 w x y z^4 +
 10 a^6 c^6 u^5 v^3 w x y z^4 + 40 a^4 b^2 c^6 u^5 v^3 w x y z^4 -
 30 a^2 b^4 c^6 u^5 v^3 w x y z^4 - 20 b^6 c^6 u^5 v^3 w x y z^4 -
 15 a^4 c^8 u^5 v^3 w x y z^4 - 20 a^2 b^2 c^8 u^5 v^3 w x y z^4 +
 7 b^4 c^8 u^5 v^3 w x y z^4 + 9 a^2 c^10 u^5 v^3 w x y z^4 +
 3 b^2 c^10 u^5 v^3 w x y z^4 - 2 c^12 u^5 v^3 w x y z^4 +
 a^12 u^4 v^4 w x y z^4 - 4 a^10 b^2 u^4 v^4 w x y z^4 +
 5 a^8 b^4 u^4 v^4 w x y z^4 - 5 a^4 b^8 u^4 v^4 w x y z^4 +
 4 a^2 b^10 u^4 v^4 w x y z^4 - b^12 u^4 v^4 w x y z^4 +
 a^10 c^2 u^4 v^4 w x y z^4 + 11 a^8 b^2 c^2 u^4 v^4 w x y z^4 -
 38 a^6 b^4 c^2 u^4 v^4 w x y z^4 +
 38 a^4 b^6 c^2 u^4 v^4 w x y z^4 - 11 a^2 b^8 c^2 u^4 v^4 w x y z^4 -
  b^10 c^2 u^4 v^4 w x y z^4 - 14 a^8 c^4 u^4 v^4 w x y z^4 -
 20 a^6 b^2 c^4 u^4 v^4 w x y z^4 +
 20 a^2 b^6 c^4 u^4 v^4 w x y z^4 + 14 b^8 c^4 u^4 v^4 w x y z^4 +
 26 a^6 c^6 u^4 v^4 w x y z^4 + 18 a^4 b^2 c^6 u^4 v^4 w x y z^4 -
 18 a^2 b^4 c^6 u^4 v^4 w x y z^4 - 26 b^6 c^6 u^4 v^4 w x y z^4 -
 19 a^4 c^8 u^4 v^4 w x y z^4 + 19 b^4 c^8 u^4 v^4 w x y z^4 +
 5 a^2 c^10 u^4 v^4 w x y z^4 - 5 b^2 c^10 u^4 v^4 w x y z^4 -
 a^12 u^3 v^5 w x y z^4 - 2 a^10 b^2 u^3 v^5 w x y z^4 +
 17 a^8 b^4 u^3 v^5 w x y z^4 - 28 a^6 b^6 u^3 v^5 w x y z^4 +
 17 a^4 b^8 u^3 v^5 w x y z^4 - 2 a^2 b^10 u^3 v^5 w x y z^4 -
 b^12 u^3 v^5 w x y z^4 + 7 a^10 c^2 u^3 v^5 w x y z^4 -
 25 a^8 b^2 c^2 u^3 v^5 w x y z^4 +
 30 a^6 b^4 c^2 u^3 v^5 w x y z^4 -
 10 a^4 b^6 c^2 u^3 v^5 w x y z^4 - 5 a^2 b^8 c^2 u^3 v^5 w x y z^4 +
 3 b^10 c^2 u^3 v^5 w x y z^4 - 18 a^8 c^4 u^3 v^5 w x y z^4 -
 14 a^6 b^2 c^4 u^3 v^5 w x y z^4 -
 30 a^4 b^4 c^4 u^3 v^5 w x y z^4 +
 30 a^2 b^6 c^4 u^3 v^5 w x y z^4 + 20 a^6 c^6 u^3 v^5 w x y z^4 +
 30 a^4 b^2 c^6 u^3 v^5 w x y z^4 -
 40 a^2 b^4 c^6 u^3 v^5 w x y z^4 - 10 b^6 c^6 u^3 v^5 w x y z^4 -
 7 a^4 c^8 u^3 v^5 w x y z^4 + 20 a^2 b^2 c^8 u^3 v^5 w x y z^4 +
 15 b^4 c^8 u^3 v^5 w x y z^4 - 3 a^2 c^10 u^3 v^5 w x y z^4 -
 9 b^2 c^10 u^3 v^5 w x y z^4 + 2 c^12 u^3 v^5 w x y z^4 -
 a^12 u^2 v^6 w x y z^4 + a^10 b^2 u^2 v^6 w x y z^4 +
 6 a^8 b^4 u^2 v^6 w x y z^4 - 14 a^6 b^6 u^2 v^6 w x y z^4 +
 11 a^4 b^8 u^2 v^6 w x y z^4 - 3 a^2 b^10 u^2 v^6 w x y z^4 -
 a^10 c^2 u^2 v^6 w x y z^4 - 4 a^8 b^2 c^2 u^2 v^6 w x y z^4 +
 18 a^6 b^4 c^2 u^2 v^6 w x y z^4 -
 20 a^4 b^6 c^2 u^2 v^6 w x y z^4 + 7 a^2 b^8 c^2 u^2 v^6 w x y z^4 -
 6 a^8 c^4 u^2 v^6 w x y z^4 - 18 a^6 b^2 c^4 u^2 v^6 w x y z^4 +
 6 a^4 b^4 c^4 u^2 v^6 w x y z^4 + 2 a^2 b^6 c^4 u^2 v^6 w x y z^4 +
 14 a^6 c^6 u^2 v^6 w x y z^4 + 4 a^4 b^2 c^6 u^2 v^6 w x y z^4 -
 18 a^2 b^4 c^6 u^2 v^6 w x y z^4 - a^4 c^8 u^2 v^6 w x y z^4 +
 17 a^2 b^2 c^8 u^2 v^6 w x y z^4 - 5 a^2 c^10 u^2 v^6 w x y z^4 -
 3 a^10 b^2 u^6 v w^2 x y z^4 + 2 a^8 b^4 u^6 v w^2 x y z^4 +
 10 a^6 b^6 u^6 v w^2 x y z^4 - 12 a^4 b^8 u^6 v w^2 x y z^4 +
 a^2 b^10 u^6 v w^2 x y z^4 + 2 b^12 u^6 v w^2 x y z^4 +
 15 a^8 b^2 c^2 u^6 v w^2 x y z^4 - 6 a^6 b^4 c^2 u^6 v w^2 x y z^4 -
 16 a^4 b^6 c^2 u^6 v w^2 x y z^4 + 6 a^2 b^8 c^2 u^6 v w^2 x y z^4 +
 b^10 c^2 u^6 v w^2 x y z^4 - 30 a^6 b^2 c^4 u^6 v w^2 x y z^4 +
 6 a^4 b^4 c^4 u^6 v w^2 x y z^4 + 10 a^2 b^6 c^4 u^6 v w^2 x y z^4 -
 2 b^8 c^4 u^6 v w^2 x y z^4 + 30 a^4 b^2 c^6 u^6 v w^2 x y z^4 -
 2 a^2 b^4 c^6 u^6 v w^2 x y z^4 - 4 b^6 c^6 u^6 v w^2 x y z^4 -
 15 a^2 b^2 c^8 u^6 v w^2 x y z^4 + 3 b^2 c^10 u^6 v w^2 x y z^4 -
 a^12 u^5 v^2 w^2 x y z^4 + 2 a^10 b^2 u^5 v^2 w^2 x y z^4 -
 10 a^8 b^4 u^5 v^2 w^2 x y z^4 + 28 a^6 b^6 u^5 v^2 w^2 x y z^4 -
 29 a^4 b^8 u^5 v^2 w^2 x y z^4 + 10 a^2 b^10 u^5 v^2 w^2 x y z^4 +
 6 a^10 c^2 u^5 v^2 w^2 x y z^4 + 4 a^8 b^2 c^2 u^5 v^2 w^2 x y z^4 +
 10 a^6 b^4 c^2 u^5 v^2 w^2 x y z^4 -
 18 a^4 b^6 c^2 u^5 v^2 w^2 x y z^4 +
 8 a^2 b^8 c^2 u^5 v^2 w^2 x y z^4 -
 10 b^10 c^2 u^5 v^2 w^2 x y z^4 - 15 a^8 c^4 u^5 v^2 w^2 x y z^4 -
 36 a^6 b^2 c^4 u^5 v^2 w^2 x y z^4 -
 10 a^4 b^4 c^4 u^5 v^2 w^2 x y z^4 -
 8 a^2 b^6 c^4 u^5 v^2 w^2 x y z^4 + 21 b^8 c^4 u^5 v^2 w^2 x y z^4 +
 20 a^6 c^6 u^5 v^2 w^2 x y z^4 +
 64 a^4 b^2 c^6 u^5 v^2 w^2 x y z^4 +
 30 a^2 b^4 c^6 u^5 v^2 w^2 x y z^4 - 2 b^6 c^6 u^5 v^2 w^2 x y z^4 -
 15 a^4 c^8 u^5 v^2 w^2 x y z^4 -
 46 a^2 b^2 c^8 u^5 v^2 w^2 x y z^4 -
 20 b^4 c^8 u^5 v^2 w^2 x y z^4 + 6 a^2 c^10 u^5 v^2 w^2 x y z^4 +
 12 b^2 c^10 u^5 v^2 w^2 x y z^4 - c^12 u^5 v^2 w^2 x y z^4 +
 a^12 u^4 v^3 w^2 x y z^4 + 7 a^10 b^2 u^4 v^3 w^2 x y z^4 -
 16 a^8 b^4 u^4 v^3 w^2 x y z^4 - 2 a^6 b^6 u^4 v^3 w^2 x y z^4 +
 17 a^4 b^8 u^4 v^3 w^2 x y z^4 - 5 a^2 b^10 u^4 v^3 w^2 x y z^4 -
 2 b^12 u^4 v^3 w^2 x y z^4 - 2 a^10 c^2 u^4 v^3 w^2 x y z^4 -
 a^8 b^2 c^2 u^4 v^3 w^2 x y z^4 +
 52 a^6 b^4 c^2 u^4 v^3 w^2 x y z^4 -
 26 a^4 b^6 c^2 u^4 v^3 w^2 x y z^4 -
 26 a^2 b^8 c^2 u^4 v^3 w^2 x y z^4 +
 3 b^10 c^2 u^4 v^3 w^2 x y z^4 - 5 a^8 c^4 u^4 v^3 w^2 x y z^4 -
 46 a^6 b^2 c^4 u^4 v^3 w^2 x y z^4 -
 40 a^4 b^4 c^4 u^4 v^3 w^2 x y z^4 +
 54 a^2 b^6 c^4 u^4 v^3 w^2 x y z^4 + 5 b^8 c^4 u^4 v^3 w^2 x y z^4 +
 20 a^6 c^6 u^4 v^3 w^2 x y z^4 +
 74 a^4 b^2 c^6 u^4 v^3 w^2 x y z^4 +
 4 a^2 b^4 c^6 u^4 v^3 w^2 x y z^4 - 10 b^6 c^6 u^4 v^3 w^2 x y z^4 -
 25 a^4 c^8 u^4 v^3 w^2 x y z^4 -
 41 a^2 b^2 c^8 u^4 v^3 w^2 x y z^4 +
 14 a^2 c^10 u^4 v^3 w^2 x y z^4 + 7 b^2 c^10 u^4 v^3 w^2 x y z^4 -
 3 c^12 u^4 v^3 w^2 x y z^4 + 2 a^12 u^3 v^4 w^2 x y z^4 +
 5 a^10 b^2 u^3 v^4 w^2 x y z^4 - 17 a^8 b^4 u^3 v^4 w^2 x y z^4 +
 2 a^6 b^6 u^3 v^4 w^2 x y z^4 + 16 a^4 b^8 u^3 v^4 w^2 x y z^4 -
 7 a^2 b^10 u^3 v^4 w^2 x y z^4 - b^12 u^3 v^4 w^2 x y z^4 -
 3 a^10 c^2 u^3 v^4 w^2 x y z^4 +
 26 a^8 b^2 c^2 u^3 v^4 w^2 x y z^4 +
 26 a^6 b^4 c^2 u^3 v^4 w^2 x y z^4 -
 52 a^4 b^6 c^2 u^3 v^4 w^2 x y z^4 +
 a^2 b^8 c^2 u^3 v^4 w^2 x y z^4 + 2 b^10 c^2 u^3 v^4 w^2 x y z^4 -
 5 a^8 c^4 u^3 v^4 w^2 x y z^4 - 54 a^6 b^2 c^4 u^3 v^4 w^2 x y z^4 +
 40 a^4 b^4 c^4 u^3 v^4 w^2 x y z^4 +
 46 a^2 b^6 c^4 u^3 v^4 w^2 x y z^4 + 5 b^8 c^4 u^3 v^4 w^2 x y z^4 +
 10 a^6 c^6 u^3 v^4 w^2 x y z^4 - 4 a^4 b^2 c^6 u^3 v^4 w^2 x y z^4 -
 74 a^2 b^4 c^6 u^3 v^4 w^2 x y z^4 -
 20 b^6 c^6 u^3 v^4 w^2 x y z^4 +
 41 a^2 b^2 c^8 u^3 v^4 w^2 x y z^4 +
 25 b^4 c^8 u^3 v^4 w^2 x y z^4 - 7 a^2 c^10 u^3 v^4 w^2 x y z^4 -
 14 b^2 c^10 u^3 v^4 w^2 x y z^4 + 3 c^12 u^3 v^4 w^2 x y z^4 -
 10 a^10 b^2 u^2 v^5 w^2 x y z^4 + 29 a^8 b^4 u^2 v^5 w^2 x y z^4 -
 28 a^6 b^6 u^2 v^5 w^2 x y z^4 + 10 a^4 b^8 u^2 v^5 w^2 x y z^4 -
 2 a^2 b^10 u^2 v^5 w^2 x y z^4 + b^12 u^2 v^5 w^2 x y z^4 +
 10 a^10 c^2 u^2 v^5 w^2 x y z^4 -
 8 a^8 b^2 c^2 u^2 v^5 w^2 x y z^4 +
 18 a^6 b^4 c^2 u^2 v^5 w^2 x y z^4 -
 10 a^4 b^6 c^2 u^2 v^5 w^2 x y z^4 -
 4 a^2 b^8 c^2 u^2 v^5 w^2 x y z^4 - 6 b^10 c^2 u^2 v^5 w^2 x y z^4 -
 21 a^8 c^4 u^2 v^5 w^2 x y z^4 + 8 a^6 b^2 c^4 u^2 v^5 w^2 x y z^4 +
 10 a^4 b^4 c^4 u^2 v^5 w^2 x y z^4 +
 36 a^2 b^6 c^4 u^2 v^5 w^2 x y z^4 +
 15 b^8 c^4 u^2 v^5 w^2 x y z^4 + 2 a^6 c^6 u^2 v^5 w^2 x y z^4 -
 30 a^4 b^2 c^6 u^2 v^5 w^2 x y z^4 -
 64 a^2 b^4 c^6 u^2 v^5 w^2 x y z^4 -
 20 b^6 c^6 u^2 v^5 w^2 x y z^4 + 20 a^4 c^8 u^2 v^5 w^2 x y z^4 +
 46 a^2 b^2 c^8 u^2 v^5 w^2 x y z^4 +
 15 b^4 c^8 u^2 v^5 w^2 x y z^4 - 12 a^2 c^10 u^2 v^5 w^2 x y z^4 -
 6 b^2 c^10 u^2 v^5 w^2 x y z^4 + c^12 u^2 v^5 w^2 x y z^4 -
 2 a^12 u v^6 w^2 x y z^4 - a^10 b^2 u v^6 w^2 x y z^4 +
 12 a^8 b^4 u v^6 w^2 x y z^4 - 10 a^6 b^6 u v^6 w^2 x y z^4 -
 2 a^4 b^8 u v^6 w^2 x y z^4 + 3 a^2 b^10 u v^6 w^2 x y z^4 -
 a^10 c^2 u v^6 w^2 x y z^4 - 6 a^8 b^2 c^2 u v^6 w^2 x y z^4 +
 16 a^6 b^4 c^2 u v^6 w^2 x y z^4 + 6 a^4 b^6 c^2 u v^6 w^2 x y z^4 -
 15 a^2 b^8 c^2 u v^6 w^2 x y z^4 + 2 a^8 c^4 u v^6 w^2 x y z^4 -
 10 a^6 b^2 c^4 u v^6 w^2 x y z^4 - 6 a^4 b^4 c^4 u v^6 w^2 x y z^4 +
 30 a^2 b^6 c^4 u v^6 w^2 x y z^4 + 4 a^6 c^6 u v^6 w^2 x y z^4 +
 2 a^4 b^2 c^6 u v^6 w^2 x y z^4 - 30 a^2 b^4 c^6 u v^6 w^2 x y z^4 +
 15 a^2 b^2 c^8 u v^6 w^2 x y z^4 - 3 a^2 c^10 u v^6 w^2 x y z^4 +
 a^8 b^4 u^6 w^3 x y z^4 - 2 a^4 b^8 u^6 w^3 x y z^4 +
 b^12 u^6 w^3 x y z^4 - 4 a^6 b^4 c^2 u^6 w^3 x y z^4 +
 4 a^2 b^8 c^2 u^6 w^3 x y z^4 + 6 a^4 b^4 c^4 u^6 w^3 x y z^4 -
 2 b^8 c^4 u^6 w^3 x y z^4 - 4 a^2 b^4 c^6 u^6 w^3 x y z^4 +
 b^4 c^8 u^6 w^3 x y z^4 - 7 a^10 b^2 u^5 v w^3 x y z^4 -
 3 a^8 b^4 u^5 v w^3 x y z^4 + 22 a^6 b^6 u^5 v w^3 x y z^4 -
 10 a^4 b^8 u^5 v w^3 x y z^4 + a^2 b^10 u^5 v w^3 x y z^4 -
 3 b^12 u^5 v w^3 x y z^4 + 35 a^8 b^2 c^2 u^5 v w^3 x y z^4 +
 22 a^6 b^4 c^2 u^5 v w^3 x y z^4 -
 20 a^4 b^6 c^2 u^5 v w^3 x y z^4 - 6 a^2 b^8 c^2 u^5 v w^3 x y z^4 +
 b^10 c^2 u^5 v w^3 x y z^4 - 70 a^6 b^2 c^4 u^5 v w^3 x y z^4 -
 48 a^4 b^4 c^4 u^5 v w^3 x y z^4 - 2 a^2 b^6 c^4 u^5 v w^3 x y z^4 +
 8 b^8 c^4 u^5 v w^3 x y z^4 + 70 a^4 b^2 c^6 u^5 v w^3 x y z^4 +
 42 a^2 b^4 c^6 u^5 v w^3 x y z^4 -
 35 a^2 b^2 c^8 u^5 v w^3 x y z^4 - 13 b^4 c^8 u^5 v w^3 x y z^4 +
 7 b^2 c^10 u^5 v w^3 x y z^4 - 2 a^12 u^4 v^2 w^3 x y z^4 -
 9 a^10 b^2 u^4 v^2 w^3 x y z^4 - 16 a^8 b^4 u^4 v^2 w^3 x y z^4 +
 46 a^6 b^6 u^4 v^2 w^3 x y z^4 + 2 a^4 b^8 u^4 v^2 w^3 x y z^4 -
 21 a^2 b^10 u^4 v^2 w^3 x y z^4 + 12 a^10 c^2 u^4 v^2 w^3 x y z^4 +
 49 a^8 b^2 c^2 u^4 v^2 w^3 x y z^4 +
 36 a^6 b^4 c^2 u^4 v^2 w^3 x y z^4 -
 62 a^4 b^6 c^2 u^4 v^2 w^3 x y z^4 +
 24 a^2 b^8 c^2 u^4 v^2 w^3 x y z^4 +
 5 b^10 c^2 u^4 v^2 w^3 x y z^4 - 30 a^8 c^4 u^4 v^2 w^3 x y z^4 -
 106 a^6 b^2 c^4 u^4 v^2 w^3 x y z^4 -
 56 a^4 b^4 c^4 u^4 v^2 w^3 x y z^4 -
 22 a^2 b^6 c^4 u^4 v^2 w^3 x y z^4 -
 22 b^8 c^4 u^4 v^2 w^3 x y z^4 + 40 a^6 c^6 u^4 v^2 w^3 x y z^4 +
 114 a^4 b^2 c^6 u^4 v^2 w^3 x y z^4 +
 68 a^2 b^4 c^6 u^4 v^2 w^3 x y z^4 +
 38 b^6 c^6 u^4 v^2 w^3 x y z^4 - 30 a^4 c^8 u^4 v^2 w^3 x y z^4 -
 61 a^2 b^2 c^8 u^4 v^2 w^3 x y z^4 -
 32 b^4 c^8 u^4 v^2 w^3 x y z^4 + 12 a^2 c^10 u^4 v^2 w^3 x y z^4 +
 13 b^2 c^10 u^4 v^2 w^3 x y z^4 - 2 c^12 u^4 v^2 w^3 x y z^4 -
 4 a^10 b^2 u^3 v^3 w^3 x y z^4 + 8 a^8 b^4 u^3 v^3 w^3 x y z^4 -
 8 a^4 b^8 u^3 v^3 w^3 x y z^4 + 4 a^2 b^10 u^3 v^3 w^3 x y z^4 +
 12 a^8 b^2 c^2 u^3 v^3 w^3 x y z^4 -
 4 a^6 b^4 c^2 u^3 v^3 w^3 x y z^4 +
 4 a^4 b^6 c^2 u^3 v^3 w^3 x y z^4 -
 12 a^2 b^8 c^2 u^3 v^3 w^3 x y z^4 -
 12 a^6 b^2 c^4 u^3 v^3 w^3 x y z^4 +
 12 a^2 b^6 c^4 u^3 v^3 w^3 x y z^4 +
 4 a^4 b^2 c^6 u^3 v^3 w^3 x y z^4 -
 4 a^2 b^4 c^6 u^3 v^3 w^3 x y z^4 +
 21 a^10 b^2 u^2 v^4 w^3 x y z^4 - 2 a^8 b^4 u^2 v^4 w^3 x y z^4 -
 46 a^6 b^6 u^2 v^4 w^3 x y z^4 + 16 a^4 b^8 u^2 v^4 w^3 x y z^4 +
 9 a^2 b^10 u^2 v^4 w^3 x y z^4 + 2 b^12 u^2 v^4 w^3 x y z^4 -
 5 a^10 c^2 u^2 v^4 w^3 x y z^4 -
 24 a^8 b^2 c^2 u^2 v^4 w^3 x y z^4 +
 62 a^6 b^4 c^2 u^2 v^4 w^3 x y z^4 -
 36 a^4 b^6 c^2 u^2 v^4 w^3 x y z^4 -
 49 a^2 b^8 c^2 u^2 v^4 w^3 x y z^4 -
 12 b^10 c^2 u^2 v^4 w^3 x y z^4 + 22 a^8 c^4 u^2 v^4 w^3 x y z^4 +
 22 a^6 b^2 c^4 u^2 v^4 w^3 x y z^4 +
 56 a^4 b^4 c^4 u^2 v^4 w^3 x y z^4 +
 106 a^2 b^6 c^4 u^2 v^4 w^3 x y z^4 +
 30 b^8 c^4 u^2 v^4 w^3 x y z^4 - 38 a^6 c^6 u^2 v^4 w^3 x y z^4 -
 68 a^4 b^2 c^6 u^2 v^4 w^3 x y z^4 -
 114 a^2 b^4 c^6 u^2 v^4 w^3 x y z^4 -
 40 b^6 c^6 u^2 v^4 w^3 x y z^4 + 32 a^4 c^8 u^2 v^4 w^3 x y z^4 +
 61 a^2 b^2 c^8 u^2 v^4 w^3 x y z^4 +
 30 b^4 c^8 u^2 v^4 w^3 x y z^4 - 13 a^2 c^10 u^2 v^4 w^3 x y z^4 -
 12 b^2 c^10 u^2 v^4 w^3 x y z^4 + 2 c^12 u^2 v^4 w^3 x y z^4 +
 3 a^12 u v^5 w^3 x y z^4 - a^10 b^2 u v^5 w^3 x y z^4 +
 10 a^8 b^4 u v^5 w^3 x y z^4 - 22 a^6 b^6 u v^5 w^3 x y z^4 +
 3 a^4 b^8 u v^5 w^3 x y z^4 + 7 a^2 b^10 u v^5 w^3 x y z^4 -
 a^10 c^2 u v^5 w^3 x y z^4 + 6 a^8 b^2 c^2 u v^5 w^3 x y z^4 +
 20 a^6 b^4 c^2 u v^5 w^3 x y z^4 -
 22 a^4 b^6 c^2 u v^5 w^3 x y z^4 -
 35 a^2 b^8 c^2 u v^5 w^3 x y z^4 - 8 a^8 c^4 u v^5 w^3 x y z^4 +
 2 a^6 b^2 c^4 u v^5 w^3 x y z^4 + 48 a^4 b^4 c^4 u v^5 w^3 x y z^4 +
 70 a^2 b^6 c^4 u v^5 w^3 x y z^4 -
 42 a^4 b^2 c^6 u v^5 w^3 x y z^4 -
 70 a^2 b^4 c^6 u v^5 w^3 x y z^4 + 13 a^4 c^8 u v^5 w^3 x y z^4 +
 35 a^2 b^2 c^8 u v^5 w^3 x y z^4 - 7 a^2 c^10 u v^5 w^3 x y z^4 -
 a^12 v^6 w^3 x y z^4 + 2 a^8 b^4 v^6 w^3 x y z^4 -
 a^4 b^8 v^6 w^3 x y z^4 - 4 a^8 b^2 c^2 v^6 w^3 x y z^4 +
 4 a^4 b^6 c^2 v^6 w^3 x y z^4 + 2 a^8 c^4 v^6 w^3 x y z^4 -
 6 a^4 b^4 c^4 v^6 w^3 x y z^4 + 4 a^4 b^2 c^6 v^6 w^3 x y z^4 -
 a^4 c^8 v^6 w^3 x y z^4 + 2 a^8 b^4 u^5 w^4 x y z^4 +
 4 a^6 b^6 u^5 w^4 x y z^4 - 4 a^2 b^10 u^5 w^4 x y z^4 -
 2 b^12 u^5 w^4 x y z^4 - 8 a^6 b^4 c^2 u^5 w^4 x y z^4 -
 12 a^4 b^6 c^2 u^5 w^4 x y z^4 + 4 b^10 c^2 u^5 w^4 x y z^4 +
 12 a^4 b^4 c^4 u^5 w^4 x y z^4 + 12 a^2 b^6 c^4 u^5 w^4 x y z^4 -
 8 a^2 b^4 c^6 u^5 w^4 x y z^4 - 4 b^6 c^6 u^5 w^4 x y z^4 +
 2 b^4 c^8 u^5 w^4 x y z^4 - 5 a^10 b^2 u^4 v w^4 x y z^4 -
 4 a^8 b^4 u^4 v w^4 x y z^4 + 20 a^6 b^6 u^4 v w^4 x y z^4 -
 6 a^4 b^8 u^4 v w^4 x y z^4 - 7 a^2 b^10 u^4 v w^4 x y z^4 +
 2 b^12 u^4 v w^4 x y z^4 + 25 a^8 b^2 c^2 u^4 v w^4 x y z^4 +
 30 a^6 b^4 c^2 u^4 v w^4 x y z^4 + 6 a^4 b^6 c^2 u^4 v w^4 x y z^4 +
 22 a^2 b^8 c^2 u^4 v w^4 x y z^4 - 3 b^10 c^2 u^4 v w^4 x y z^4 -
 50 a^6 b^2 c^4 u^4 v w^4 x y z^4 -
 66 a^4 b^4 c^4 u^4 v w^4 x y z^4 -
 48 a^2 b^6 c^4 u^4 v w^4 x y z^4 - 8 b^8 c^4 u^4 v w^4 x y z^4 +
 50 a^4 b^2 c^6 u^4 v w^4 x y z^4 +
 58 a^2 b^4 c^6 u^4 v w^4 x y z^4 + 22 b^6 c^6 u^4 v w^4 x y z^4 -
 25 a^2 b^2 c^8 u^4 v w^4 x y z^4 - 18 b^4 c^8 u^4 v w^4 x y z^4 +
 5 b^2 c^10 u^4 v w^4 x y z^4 - a^12 u^3 v^2 w^4 x y z^4 -
 8 a^10 b^2 u^3 v^2 w^4 x y z^4 - 21 a^8 b^4 u^3 v^2 w^4 x y z^4 -
 2 a^6 b^6 u^3 v^2 w^4 x y z^4 + 23 a^4 b^8 u^3 v^2 w^4 x y z^4 +
 10 a^2 b^10 u^3 v^2 w^4 x y z^4 - b^12 u^3 v^2 w^4 x y z^4 +
 6 a^10 c^2 u^3 v^2 w^4 x y z^4 +
 38 a^8 b^2 c^2 u^3 v^2 w^4 x y z^4 +
 62 a^6 b^4 c^2 u^3 v^2 w^4 x y z^4 -
 16 a^2 b^8 c^2 u^3 v^2 w^4 x y z^4 +
 6 b^10 c^2 u^3 v^2 w^4 x y z^4 - 15 a^8 c^4 u^3 v^2 w^4 x y z^4 -
 72 a^6 b^2 c^4 u^3 v^2 w^4 x y z^4 -
 76 a^4 b^4 c^4 u^3 v^2 w^4 x y z^4 -
 18 a^2 b^6 c^4 u^3 v^2 w^4 x y z^4 -
 15 b^8 c^4 u^3 v^2 w^4 x y z^4 + 20 a^6 c^6 u^3 v^2 w^4 x y z^4 +
 68 a^4 b^2 c^6 u^3 v^2 w^4 x y z^4 +
 50 a^2 b^4 c^6 u^3 v^2 w^4 x y z^4 +
 20 b^6 c^6 u^3 v^2 w^4 x y z^4 - 15 a^4 c^8 u^3 v^2 w^4 x y z^4 -
 32 a^2 b^2 c^8 u^3 v^2 w^4 x y z^4 -
 15 b^4 c^8 u^3 v^2 w^4 x y z^4 + 6 a^2 c^10 u^3 v^2 w^4 x y z^4 +
 6 b^2 c^10 u^3 v^2 w^4 x y z^4 - c^12 u^3 v^2 w^4 x y z^4 +
 a^12 u^2 v^3 w^4 x y z^4 - 10 a^10 b^2 u^2 v^3 w^4 x y z^4 -
 23 a^8 b^4 u^2 v^3 w^4 x y z^4 + 2 a^6 b^6 u^2 v^3 w^4 x y z^4 +
 21 a^4 b^8 u^2 v^3 w^4 x y z^4 + 8 a^2 b^10 u^2 v^3 w^4 x y z^4 +
 b^12 u^2 v^3 w^4 x y z^4 - 6 a^10 c^2 u^2 v^3 w^4 x y z^4 +
 16 a^8 b^2 c^2 u^2 v^3 w^4 x y z^4 -
 62 a^4 b^6 c^2 u^2 v^3 w^4 x y z^4 -
 38 a^2 b^8 c^2 u^2 v^3 w^4 x y z^4 -
 6 b^10 c^2 u^2 v^3 w^4 x y z^4 + 15 a^8 c^4 u^2 v^3 w^4 x y z^4 +
 18 a^6 b^2 c^4 u^2 v^3 w^4 x y z^4 +
 76 a^4 b^4 c^4 u^2 v^3 w^4 x y z^4 +
 72 a^2 b^6 c^4 u^2 v^3 w^4 x y z^4 +
 15 b^8 c^4 u^2 v^3 w^4 x y z^4 - 20 a^6 c^6 u^2 v^3 w^4 x y z^4 -
 50 a^4 b^2 c^6 u^2 v^3 w^4 x y z^4 -
 68 a^2 b^4 c^6 u^2 v^3 w^4 x y z^4 -
 20 b^6 c^6 u^2 v^3 w^4 x y z^4 + 15 a^4 c^8 u^2 v^3 w^4 x y z^4 +
 32 a^2 b^2 c^8 u^2 v^3 w^4 x y z^4 +
 15 b^4 c^8 u^2 v^3 w^4 x y z^4 - 6 a^2 c^10 u^2 v^3 w^4 x y z^4 -
 6 b^2 c^10 u^2 v^3 w^4 x y z^4 + c^12 u^2 v^3 w^4 x y z^4 -
 2 a^12 u v^4 w^4 x y z^4 + 7 a^10 b^2 u v^4 w^4 x y z^4 +
 6 a^8 b^4 u v^4 w^4 x y z^4 - 20 a^6 b^6 u v^4 w^4 x y z^4 +
 4 a^4 b^8 u v^4 w^4 x y z^4 + 5 a^2 b^10 u v^4 w^4 x y z^4 +
 3 a^10 c^2 u v^4 w^4 x y z^4 - 22 a^8 b^2 c^2 u v^4 w^4 x y z^4 -
 6 a^6 b^4 c^2 u v^4 w^4 x y z^4 - 30 a^4 b^6 c^2 u v^4 w^4 x y z^4 -
 25 a^2 b^8 c^2 u v^4 w^4 x y z^4 + 8 a^8 c^4 u v^4 w^4 x y z^4 +
 48 a^6 b^2 c^4 u v^4 w^4 x y z^4 +
 66 a^4 b^4 c^4 u v^4 w^4 x y z^4 +
 50 a^2 b^6 c^4 u v^4 w^4 x y z^4 - 22 a^6 c^6 u v^4 w^4 x y z^4 -
 58 a^4 b^2 c^6 u v^4 w^4 x y z^4 -
 50 a^2 b^4 c^6 u v^4 w^4 x y z^4 + 18 a^4 c^8 u v^4 w^4 x y z^4 +
 25 a^2 b^2 c^8 u v^4 w^4 x y z^4 - 5 a^2 c^10 u v^4 w^4 x y z^4 +
 2 a^12 v^5 w^4 x y z^4 + 4 a^10 b^2 v^5 w^4 x y z^4 -
 4 a^6 b^6 v^5 w^4 x y z^4 - 2 a^4 b^8 v^5 w^4 x y z^4 -
 4 a^10 c^2 v^5 w^4 x y z^4 + 12 a^6 b^4 c^2 v^5 w^4 x y z^4 +
 8 a^4 b^6 c^2 v^5 w^4 x y z^4 - 12 a^6 b^2 c^4 v^5 w^4 x y z^4 -
 12 a^4 b^4 c^4 v^5 w^4 x y z^4 + 4 a^6 c^6 v^5 w^4 x y z^4 +
 8 a^4 b^2 c^6 v^5 w^4 x y z^4 - 2 a^4 c^8 v^5 w^4 x y z^4 +
 a^8 b^4 u^4 w^5 x y z^4 + 4 a^6 b^6 u^4 w^5 x y z^4 +
 6 a^4 b^8 u^4 w^5 x y z^4 + 4 a^2 b^10 u^4 w^5 x y z^4 +
 b^12 u^4 w^5 x y z^4 - 4 a^6 b^4 c^2 u^4 w^5 x y z^4 -
 12 a^4 b^6 c^2 u^4 w^5 x y z^4 - 12 a^2 b^8 c^2 u^4 w^5 x y z^4 -
 4 b^10 c^2 u^4 w^5 x y z^4 + 6 a^4 b^4 c^4 u^4 w^5 x y z^4 +
 12 a^2 b^6 c^4 u^4 w^5 x y z^4 + 6 b^8 c^4 u^4 w^5 x y z^4 -
 4 a^2 b^4 c^6 u^4 w^5 x y z^4 - 4 b^6 c^6 u^4 w^5 x y z^4 +
 b^4 c^8 u^4 w^5 x y z^4 - a^10 b^2 u^3 v w^5 x y z^4 +
 a^8 b^4 u^3 v w^5 x y z^4 + 16 a^6 b^6 u^3 v w^5 x y z^4 +
 16 a^4 b^8 u^3 v w^5 x y z^4 + a^2 b^10 u^3 v w^5 x y z^4 -
 b^12 u^3 v w^5 x y z^4 + 5 a^8 b^2 c^2 u^3 v w^5 x y z^4 +
 2 a^6 b^4 c^2 u^3 v w^5 x y z^4 - 14 a^4 b^6 c^2 u^3 v w^5 x y z^4 +
 2 a^2 b^8 c^2 u^3 v w^5 x y z^4 + 5 b^10 c^2 u^3 v w^5 x y z^4 -
 10 a^6 b^2 c^4 u^3 v w^5 x y z^4 -
 12 a^4 b^4 c^4 u^3 v w^5 x y z^4 -
 12 a^2 b^6 c^4 u^3 v w^5 x y z^4 - 10 b^8 c^4 u^3 v w^5 x y z^4 +
 10 a^4 b^2 c^6 u^3 v w^5 x y z^4 +
 14 a^2 b^4 c^6 u^3 v w^5 x y z^4 + 10 b^6 c^6 u^3 v w^5 x y z^4 -
 5 a^2 b^2 c^8 u^3 v w^5 x y z^4 - 5 b^4 c^8 u^3 v w^5 x y z^4 +
 b^2 c^10 u^3 v w^5 x y z^4 + a^12 u v^3 w^5 x y z^4 -
 a^10 b^2 u v^3 w^5 x y z^4 - 16 a^8 b^4 u v^3 w^5 x y z^4 -
 16 a^6 b^6 u v^3 w^5 x y z^4 - a^4 b^8 u v^3 w^5 x y z^4 +
 a^2 b^10 u v^3 w^5 x y z^4 - 5 a^10 c^2 u v^3 w^5 x y z^4 -
 2 a^8 b^2 c^2 u v^3 w^5 x y z^4 + 14 a^6 b^4 c^2 u v^3 w^5 x y z^4 -
 2 a^4 b^6 c^2 u v^3 w^5 x y z^4 - 5 a^2 b^8 c^2 u v^3 w^5 x y z^4 +
 10 a^8 c^4 u v^3 w^5 x y z^4 + 12 a^6 b^2 c^4 u v^3 w^5 x y z^4 +
 12 a^4 b^4 c^4 u v^3 w^5 x y z^4 +
 10 a^2 b^6 c^4 u v^3 w^5 x y z^4 - 10 a^6 c^6 u v^3 w^5 x y z^4 -
 14 a^4 b^2 c^6 u v^3 w^5 x y z^4 -
 10 a^2 b^4 c^6 u v^3 w^5 x y z^4 + 5 a^4 c^8 u v^3 w^5 x y z^4 +
 5 a^2 b^2 c^8 u v^3 w^5 x y z^4 - a^2 c^10 u v^3 w^5 x y z^4 -
 a^12 v^4 w^5 x y z^4 - 4 a^10 b^2 v^4 w^5 x y z^4 -
 6 a^8 b^4 v^4 w^5 x y z^4 - 4 a^6 b^6 v^4 w^5 x y z^4 -
 a^4 b^8 v^4 w^5 x y z^4 + 4 a^10 c^2 v^4 w^5 x y z^4 +
 12 a^8 b^2 c^2 v^4 w^5 x y z^4 + 12 a^6 b^4 c^2 v^4 w^5 x y z^4 +
 4 a^4 b^6 c^2 v^4 w^5 x y z^4 - 6 a^8 c^4 v^4 w^5 x y z^4 -
 12 a^6 b^2 c^4 v^4 w^5 x y z^4 - 6 a^4 b^4 c^4 v^4 w^5 x y z^4 +
 4 a^6 c^6 v^4 w^5 x y z^4 + 4 a^4 b^2 c^6 v^4 w^5 x y z^4 -
 a^4 c^8 v^4 w^5 x y z^4 - 2 a^6 b^2 c^4 u^6 v^3 y^2 z^4 -
 2 a^4 b^4 c^4 u^6 v^3 y^2 z^4 + 2 a^2 b^6 c^4 u^6 v^3 y^2 z^4 +
 2 b^8 c^4 u^6 v^3 y^2 z^4 + 2 a^4 b^2 c^6 u^6 v^3 y^2 z^4 -
 4 a^2 b^4 c^6 u^6 v^3 y^2 z^4 - 6 b^6 c^6 u^6 v^3 y^2 z^4 +
 2 a^2 b^2 c^8 u^6 v^3 y^2 z^4 + 6 b^4 c^8 u^6 v^3 y^2 z^4 -
 2 b^2 c^10 u^6 v^3 y^2 z^4 - a^8 c^4 u^5 v^4 y^2 z^4 -
 10 a^6 b^2 c^4 u^5 v^4 y^2 z^4 + 10 a^2 b^6 c^4 u^5 v^4 y^2 z^4 +
 b^8 c^4 u^5 v^4 y^2 z^4 + 2 a^6 c^6 u^5 v^4 y^2 z^4 -
 22 a^2 b^4 c^6 u^5 v^4 y^2 z^4 - 4 b^6 c^6 u^5 v^4 y^2 z^4 +
 14 a^2 b^2 c^8 u^5 v^4 y^2 z^4 + 6 b^4 c^8 u^5 v^4 y^2 z^4 -
 2 a^2 c^10 u^5 v^4 y^2 z^4 - 4 b^2 c^10 u^5 v^4 y^2 z^4 +
 c^12 u^5 v^4 y^2 z^4 - 4 a^8 c^4 u^4 v^5 y^2 z^4 -
 12 a^6 b^2 c^4 u^4 v^5 y^2 z^4 + 12 a^4 b^4 c^4 u^4 v^5 y^2 z^4 +
 4 a^2 b^6 c^4 u^4 v^5 y^2 z^4 + 4 a^6 c^6 u^4 v^5 y^2 z^4 -
 16 a^4 b^2 c^6 u^4 v^5 y^2 z^4 - 12 a^2 b^4 c^6 u^4 v^5 y^2 z^4 +
 4 a^4 c^8 u^4 v^5 y^2 z^4 + 12 a^2 b^2 c^8 u^4 v^5 y^2 z^4 -
 4 a^2 c^10 u^4 v^5 y^2 z^4 - 4 a^8 c^4 u^3 v^6 y^2 z^4 +
 4 a^4 b^4 c^4 u^3 v^6 y^2 z^4 - 8 a^4 b^2 c^6 u^3 v^6 y^2 z^4 +
 4 a^4 c^8 u^3 v^6 y^2 z^4 + 3 a^10 b^2 u^6 v^2 w y^2 z^4 -
 11 a^8 b^4 u^6 v^2 w y^2 z^4 + 14 a^6 b^6 u^6 v^2 w y^2 z^4 -
 6 a^4 b^8 u^6 v^2 w y^2 z^4 - a^2 b^10 u^6 v^2 w y^2 z^4 +
 b^12 u^6 v^2 w y^2 z^4 - 4 a^8 b^2 c^2 u^6 v^2 w y^2 z^4 +
 6 a^6 b^4 c^2 u^6 v^2 w y^2 z^4 - 2 a^4 b^6 c^2 u^6 v^2 w y^2 z^4 +
 2 a^2 b^8 c^2 u^6 v^2 w y^2 z^4 - 2 b^10 c^2 u^6 v^2 w y^2 z^4 -
 2 a^6 b^2 c^4 u^6 v^2 w y^2 z^4 + 8 a^4 b^4 c^4 u^6 v^2 w y^2 z^4 +
 6 a^2 b^6 c^4 u^6 v^2 w y^2 z^4 + 4 b^8 c^4 u^6 v^2 w y^2 z^4 -
 14 a^2 b^4 c^6 u^6 v^2 w y^2 z^4 - 10 b^6 c^6 u^6 v^2 w y^2 z^4 +
 7 a^2 b^2 c^8 u^6 v^2 w y^2 z^4 + 11 b^4 c^8 u^6 v^2 w y^2 z^4 -
 4 b^2 c^10 u^6 v^2 w y^2 z^4 + a^12 u^5 v^3 w y^2 z^4 +
 5 a^10 b^2 u^5 v^3 w y^2 z^4 - 28 a^8 b^4 u^5 v^3 w y^2 z^4 +
 42 a^6 b^6 u^5 v^3 w y^2 z^4 - 23 a^4 b^8 u^5 v^3 w y^2 z^4 +
 a^2 b^10 u^5 v^3 w y^2 z^4 + 2 b^12 u^5 v^3 w y^2 z^4 -
 2 a^10 c^2 u^5 v^3 w y^2 z^4 - 2 a^8 b^2 c^2 u^5 v^3 w y^2 z^4 -
 4 a^6 b^4 c^2 u^5 v^3 w y^2 z^4 + 12 a^4 b^6 c^2 u^5 v^3 w y^2 z^4 +
 6 a^2 b^8 c^2 u^5 v^3 w y^2 z^4 - 10 b^10 c^2 u^5 v^3 w y^2 z^4 -
 2 a^6 b^2 c^4 u^5 v^3 w y^2 z^4 + 26 a^4 b^4 c^4 u^5 v^3 w y^2 z^4 +
 2 a^2 b^6 c^4 u^5 v^3 w y^2 z^4 + 22 b^8 c^4 u^5 v^3 w y^2 z^4 -
 20 a^4 b^2 c^6 u^5 v^3 w y^2 z^4 -
 32 a^2 b^4 c^6 u^5 v^3 w y^2 z^4 - 28 b^6 c^6 u^5 v^3 w y^2 z^4 +
 5 a^4 c^8 u^5 v^3 w y^2 z^4 + 29 a^2 b^2 c^8 u^5 v^3 w y^2 z^4 +
 22 b^4 c^8 u^5 v^3 w y^2 z^4 - 6 a^2 c^10 u^5 v^3 w y^2 z^4 -
 10 b^2 c^10 u^5 v^3 w y^2 z^4 + 2 c^12 u^5 v^3 w y^2 z^4 +
 2 a^12 u^4 v^4 w y^2 z^4 + a^10 b^2 u^4 v^4 w y^2 z^4 -
 23 a^8 b^4 u^4 v^4 w y^2 z^4 + 42 a^6 b^6 u^4 v^4 w y^2 z^4 -
 28 a^4 b^8 u^4 v^4 w y^2 z^4 + 5 a^2 b^10 u^4 v^4 w y^2 z^4 +
 b^12 u^4 v^4 w y^2 z^4 - 2 a^10 c^2 u^4 v^4 w y^2 z^4 -
 2 a^8 b^2 c^2 u^4 v^4 w y^2 z^4 - 24 a^6 b^4 c^2 u^4 v^4 w y^2 z^4 +
 56 a^4 b^6 c^2 u^4 v^4 w y^2 z^4 -
 22 a^2 b^8 c^2 u^4 v^4 w y^2 z^4 - 6 b^10 c^2 u^4 v^4 w y^2 z^4 -
 a^8 c^4 u^4 v^4 w y^2 z^4 + 4 a^6 b^2 c^4 u^4 v^4 w y^2 z^4 -
 14 a^4 b^4 c^4 u^4 v^4 w y^2 z^4 +
 44 a^2 b^6 c^4 u^4 v^4 w y^2 z^4 + 15 b^8 c^4 u^4 v^4 w y^2 z^4 -
 6 a^6 c^6 u^4 v^4 w y^2 z^4 - 28 a^4 b^2 c^6 u^4 v^4 w y^2 z^4 -
 50 a^2 b^4 c^6 u^4 v^4 w y^2 z^4 - 20 b^6 c^6 u^4 v^4 w y^2 z^4 +
 14 a^4 c^8 u^4 v^4 w y^2 z^4 + 31 a^2 b^2 c^8 u^4 v^4 w y^2 z^4 +
 15 b^4 c^8 u^4 v^4 w y^2 z^4 - 8 a^2 c^10 u^4 v^4 w y^2 z^4 -
 6 b^2 c^10 u^4 v^4 w y^2 z^4 + c^12 u^4 v^4 w y^2 z^4 +
 a^12 u^3 v^5 w y^2 z^4 - a^10 b^2 u^3 v^5 w y^2 z^4 -
 6 a^8 b^4 u^3 v^5 w y^2 z^4 + 14 a^6 b^6 u^3 v^5 w y^2 z^4 -
 11 a^4 b^8 u^3 v^5 w y^2 z^4 + 3 a^2 b^10 u^3 v^5 w y^2 z^4 -
 16 a^8 b^2 c^2 u^3 v^5 w y^2 z^4 +
 16 a^6 b^4 c^2 u^3 v^5 w y^2 z^4 +
 16 a^4 b^6 c^2 u^3 v^5 w y^2 z^4 -
 16 a^2 b^8 c^2 u^3 v^5 w y^2 z^4 - 2 a^8 c^4 u^3 v^5 w y^2 z^4 -
 26 a^6 b^2 c^4 u^3 v^5 w y^2 z^4 +
 10 a^4 b^4 c^4 u^3 v^5 w y^2 z^4 +
 34 a^2 b^6 c^4 u^3 v^5 w y^2 z^4 - 4 a^6 c^6 u^3 v^5 w y^2 z^4 -
 24 a^4 b^2 c^6 u^3 v^5 w y^2 z^4 -
 36 a^2 b^4 c^6 u^3 v^5 w y^2 z^4 + 9 a^4 c^8 u^3 v^5 w y^2 z^4 +
 19 a^2 b^2 c^8 u^3 v^5 w y^2 z^4 - 4 a^2 c^10 u^3 v^5 w y^2 z^4 -
 2 a^10 c^2 u^2 v^6 w y^2 z^4 - 2 a^8 b^2 c^2 u^2 v^6 w y^2 z^4 +
 10 a^6 b^4 c^2 u^2 v^6 w y^2 z^4 - 6 a^4 b^6 c^2 u^2 v^6 w y^2 z^4 -
 6 a^8 c^4 u^2 v^6 w y^2 z^4 - 12 a^6 b^2 c^4 u^2 v^6 w y^2 z^4 +
 18 a^4 b^4 c^4 u^2 v^6 w y^2 z^4 + 2 a^6 c^6 u^2 v^6 w y^2 z^4 -
 18 a^4 b^2 c^6 u^2 v^6 w y^2 z^4 + 6 a^4 c^8 u^2 v^6 w y^2 z^4 -
 3 a^10 b^2 u^6 v w^2 y^2 z^4 + 4 a^8 b^4 u^6 v w^2 y^2 z^4 +
 4 a^6 b^6 u^6 v w^2 y^2 z^4 - 6 a^4 b^8 u^6 v w^2 y^2 z^4 -
 a^2 b^10 u^6 v w^2 y^2 z^4 + 2 b^12 u^6 v w^2 y^2 z^4 +
 10 a^8 b^2 c^2 u^6 v w^2 y^2 z^4 - 8 a^6 b^4 c^2 u^6 v w^2 y^2 z^4 -
 2 a^4 b^6 c^2 u^6 v w^2 y^2 z^4 + 4 a^2 b^8 c^2 u^6 v w^2 y^2 z^4 -
 4 b^10 c^2 u^6 v w^2 y^2 z^4 - 10 a^6 b^2 c^4 u^6 v w^2 y^2 z^4 +
 8 a^4 b^4 c^4 u^6 v w^2 y^2 z^4 + 2 b^8 c^4 u^6 v w^2 y^2 z^4 -
 8 a^2 b^4 c^6 u^6 v w^2 y^2 z^4 - 2 b^6 c^6 u^6 v w^2 y^2 z^4 +
 5 a^2 b^2 c^8 u^6 v w^2 y^2 z^4 + 4 b^4 c^8 u^6 v w^2 y^2 z^4 -
 2 b^2 c^10 u^6 v w^2 y^2 z^4 - a^12 u^5 v^2 w^2 y^2 z^4 +
 2 a^10 b^2 u^5 v^2 w^2 y^2 z^4 - 13 a^8 b^4 u^5 v^2 w^2 y^2 z^4 +
 34 a^6 b^6 u^5 v^2 w^2 y^2 z^4 - 29 a^4 b^8 u^5 v^2 w^2 y^2 z^4 +
 4 a^2 b^10 u^5 v^2 w^2 y^2 z^4 + 3 b^12 u^5 v^2 w^2 y^2 z^4 +
 4 a^10 c^2 u^5 v^2 w^2 y^2 z^4 + 4 a^8 b^2 c^2 u^5 v^2 w^2 y^2 z^4 -
 6 a^6 b^4 c^2 u^5 v^2 w^2 y^2 z^4 +
 16 a^4 b^6 c^2 u^5 v^2 w^2 y^2 z^4 -
 2 a^2 b^8 c^2 u^5 v^2 w^2 y^2 z^4 -
 16 b^10 c^2 u^5 v^2 w^2 y^2 z^4 - 5 a^8 c^4 u^5 v^2 w^2 y^2 z^4 -
 16 a^6 b^2 c^4 u^5 v^2 w^2 y^2 z^4 +
 4 a^4 b^4 c^4 u^5 v^2 w^2 y^2 z^4 -
 2 a^2 b^6 c^4 u^5 v^2 w^2 y^2 z^4 + 35 b^8 c^4 u^5 v^2 w^2 y^2 z^4 +
 4 a^4 b^2 c^6 u^5 v^2 w^2 y^2 z^4 -
 10 a^2 b^4 c^6 u^5 v^2 w^2 y^2 z^4 -
 40 b^6 c^6 u^5 v^2 w^2 y^2 z^4 + 5 a^4 c^8 u^5 v^2 w^2 y^2 z^4 +
 14 a^2 b^2 c^8 u^5 v^2 w^2 y^2 z^4 +
 25 b^4 c^8 u^5 v^2 w^2 y^2 z^4 - 4 a^2 c^10 u^5 v^2 w^2 y^2 z^4 -
 8 b^2 c^10 u^5 v^2 w^2 y^2 z^4 + c^12 u^5 v^2 w^2 y^2 z^4 +
 a^12 u^4 v^3 w^2 y^2 z^4 + 9 a^10 b^2 u^4 v^3 w^2 y^2 z^4 -
 40 a^8 b^4 u^4 v^3 w^2 y^2 z^4 + 54 a^6 b^6 u^4 v^3 w^2 y^2 z^4 -
 27 a^4 b^8 u^4 v^3 w^2 y^2 z^4 + a^2 b^10 u^4 v^3 w^2 y^2 z^4 +
 2 b^12 u^4 v^3 w^2 y^2 z^4 - 2 a^10 c^2 u^4 v^3 w^2 y^2 z^4 +
 4 a^8 b^2 c^2 u^4 v^3 w^2 y^2 z^4 +
 8 a^6 b^4 c^2 u^4 v^3 w^2 y^2 z^4 +
 16 a^4 b^6 c^2 u^4 v^3 w^2 y^2 z^4 -
 14 a^2 b^8 c^2 u^4 v^3 w^2 y^2 z^4 -
 12 b^10 c^2 u^4 v^3 w^2 y^2 z^4 -
 30 a^6 b^2 c^4 u^4 v^3 w^2 y^2 z^4 +
 6 a^4 b^4 c^4 u^4 v^3 w^2 y^2 z^4 +
 42 a^2 b^6 c^4 u^4 v^3 w^2 y^2 z^4 +
 30 b^8 c^4 u^4 v^3 w^2 y^2 z^4 -
 52 a^2 b^4 c^6 u^4 v^3 w^2 y^2 z^4 -
 40 b^6 c^6 u^4 v^3 w^2 y^2 z^4 + 5 a^4 c^8 u^4 v^3 w^2 y^2 z^4 +
 29 a^2 b^2 c^8 u^4 v^3 w^2 y^2 z^4 +
 30 b^4 c^8 u^4 v^3 w^2 y^2 z^4 - 6 a^2 c^10 u^4 v^3 w^2 y^2 z^4 -
 12 b^2 c^10 u^4 v^3 w^2 y^2 z^4 + 2 c^12 u^4 v^3 w^2 y^2 z^4 +
 4 a^12 u^3 v^4 w^2 y^2 z^4 + 6 a^10 b^2 u^3 v^4 w^2 y^2 z^4 -
 44 a^8 b^4 u^3 v^4 w^2 y^2 z^4 + 56 a^6 b^6 u^3 v^4 w^2 y^2 z^4 -
 24 a^4 b^8 u^3 v^4 w^2 y^2 z^4 + 2 a^2 b^10 u^3 v^4 w^2 y^2 z^4 -
 6 a^10 c^2 u^3 v^4 w^2 y^2 z^4 +
 28 a^8 b^2 c^2 u^3 v^4 w^2 y^2 z^4 -
 36 a^6 b^4 c^2 u^3 v^4 w^2 y^2 z^4 +
 28 a^4 b^6 c^2 u^3 v^4 w^2 y^2 z^4 -
 14 a^2 b^8 c^2 u^3 v^4 w^2 y^2 z^4 -
 16 a^6 b^2 c^4 u^3 v^4 w^2 y^2 z^4 +
 28 a^4 b^4 c^4 u^3 v^4 w^2 y^2 z^4 +
 36 a^2 b^6 c^4 u^3 v^4 w^2 y^2 z^4 - 4 a^6 c^6 u^3 v^4 w^2 y^2 z^4 -
 44 a^4 b^2 c^6 u^3 v^4 w^2 y^2 z^4 -
 44 a^2 b^4 c^6 u^3 v^4 w^2 y^2 z^4 +
 12 a^4 c^8 u^3 v^4 w^2 y^2 z^4 +
 26 a^2 b^2 c^8 u^3 v^4 w^2 y^2 z^4 -
 6 a^2 c^10 u^3 v^4 w^2 y^2 z^4 + 3 a^12 u^2 v^5 w^2 y^2 z^4 -
 6 a^10 b^2 u^2 v^5 w^2 y^2 z^4 + 6 a^6 b^6 u^2 v^5 w^2 y^2 z^4 -
 3 a^4 b^8 u^2 v^5 w^2 y^2 z^4 + 4 a^10 c^2 u^2 v^5 w^2 y^2 z^4 -
 10 a^8 b^2 c^2 u^2 v^5 w^2 y^2 z^4 +
 8 a^6 b^4 c^2 u^2 v^5 w^2 y^2 z^4 -
 2 a^4 b^6 c^2 u^2 v^5 w^2 y^2 z^4 - 6 a^8 c^4 u^2 v^5 w^2 y^2 z^4 -
 2 a^6 b^2 c^4 u^2 v^5 w^2 y^2 z^4 +
 24 a^4 b^4 c^4 u^2 v^5 w^2 y^2 z^4 -
 12 a^6 c^6 u^2 v^5 w^2 y^2 z^4 -
 30 a^4 b^2 c^6 u^2 v^5 w^2 y^2 z^4 +
 11 a^4 c^8 u^2 v^5 w^2 y^2 z^4 - 2 a^10 b^2 u v^6 w^2 y^2 z^4 +
 6 a^8 b^4 u v^6 w^2 y^2 z^4 - 6 a^6 b^6 u v^6 w^2 y^2 z^4 +
 2 a^4 b^8 u v^6 w^2 y^2 z^4 - 2 a^10 c^2 u v^6 w^2 y^2 z^4 -
 4 a^8 b^2 c^2 u v^6 w^2 y^2 z^4 + 14 a^6 b^4 c^2 u v^6 w^2 y^2 z^4 -
 8 a^4 b^6 c^2 u v^6 w^2 y^2 z^4 - 2 a^8 c^4 u v^6 w^2 y^2 z^4 -
 10 a^6 b^2 c^4 u v^6 w^2 y^2 z^4 +
 12 a^4 b^4 c^4 u v^6 w^2 y^2 z^4 + 2 a^6 c^6 u v^6 w^2 y^2 z^4 -
 8 a^4 b^2 c^6 u v^6 w^2 y^2 z^4 + 2 a^4 c^8 u v^6 w^2 y^2 z^4 +
 a^8 b^4 u^6 w^3 y^2 z^4 - 2 a^4 b^8 u^6 w^3 y^2 z^4 +
 b^12 u^6 w^3 y^2 z^4 - 2 a^6 b^4 c^2 u^6 w^3 y^2 z^4 +
 2 a^4 b^6 c^2 u^6 w^3 y^2 z^4 + 2 a^2 b^8 c^2 u^6 w^3 y^2 z^4 -
 2 b^10 c^2 u^6 w^3 y^2 z^4 - 4 a^2 b^6 c^4 u^6 w^3 y^2 z^4 +
 2 a^2 b^4 c^6 u^6 w^3 y^2 z^4 + 2 b^6 c^6 u^6 w^3 y^2 z^4 -
 b^4 c^8 u^6 w^3 y^2 z^4 - 9 a^10 b^2 u^5 v w^3 y^2 z^4 +
 8 a^8 b^4 u^5 v w^3 y^2 z^4 + 10 a^6 b^6 u^5 v w^3 y^2 z^4 -
 8 a^4 b^8 u^5 v w^3 y^2 z^4 - a^2 b^10 u^5 v w^3 y^2 z^4 +
 34 a^8 b^2 c^2 u^5 v w^3 y^2 z^4 - 2 b^10 c^2 u^5 v w^3 y^2 z^4 -
 46 a^6 b^2 c^4 u^5 v w^3 y^2 z^4 -
 16 a^4 b^4 c^4 u^5 v w^3 y^2 z^4 + 2 a^2 b^6 c^4 u^5 v w^3 y^2 z^4 +
 8 b^8 c^4 u^5 v w^3 y^2 z^4 + 24 a^4 b^2 c^6 u^5 v w^3 y^2 z^4 -
 12 b^6 c^6 u^5 v w^3 y^2 z^4 - a^2 b^2 c^8 u^5 v w^3 y^2 z^4 +
 8 b^4 c^8 u^5 v w^3 y^2 z^4 - 2 b^2 c^10 u^5 v w^3 y^2 z^4 -
 3 a^12 u^4 v^2 w^3 y^2 z^4 - 13 a^10 b^2 u^4 v^2 w^3 y^2 z^4 -
 5 a^8 b^4 u^4 v^2 w^3 y^2 z^4 + 50 a^6 b^6 u^4 v^2 w^3 y^2 z^4 -
 17 a^4 b^8 u^4 v^2 w^3 y^2 z^4 - 13 a^2 b^10 u^4 v^2 w^3 y^2 z^4 +
 b^12 u^4 v^2 w^3 y^2 z^4 + 14 a^10 c^2 u^4 v^2 w^3 y^2 z^4 +
 54 a^8 b^2 c^2 u^4 v^2 w^3 y^2 z^4 -
 8 a^6 b^4 c^2 u^4 v^2 w^3 y^2 z^4 +
 42 a^2 b^8 c^2 u^4 v^2 w^3 y^2 z^4 -
 6 b^10 c^2 u^4 v^2 w^3 y^2 z^4 - 25 a^8 c^4 u^4 v^2 w^3 y^2 z^4 -
 78 a^6 b^2 c^4 u^4 v^2 w^3 y^2 z^4 -
 18 a^4 b^4 c^4 u^4 v^2 w^3 y^2 z^4 -
 46 a^2 b^6 c^4 u^4 v^2 w^3 y^2 z^4 +
 15 b^8 c^4 u^4 v^2 w^3 y^2 z^4 + 20 a^6 c^6 u^4 v^2 w^3 y^2 z^4 +
 40 a^4 b^2 c^6 u^4 v^2 w^3 y^2 z^4 +
 16 a^2 b^4 c^6 u^4 v^2 w^3 y^2 z^4 -
 20 b^6 c^6 u^4 v^2 w^3 y^2 z^4 - 5 a^4 c^8 u^4 v^2 w^3 y^2 z^4 +
 3 a^2 b^2 c^8 u^4 v^2 w^3 y^2 z^4 + 15 b^4 c^8 u^4 v^2 w^3 y^2 z^4 -
 2 a^2 c^10 u^4 v^2 w^3 y^2 z^4 - 6 b^2 c^10 u^4 v^2 w^3 y^2 z^4 +
 c^12 u^4 v^2 w^3 y^2 z^4 - 3 a^12 u^3 v^3 w^3 y^2 z^4 -
 10 a^10 b^2 u^3 v^3 w^3 y^2 z^4 - 2 a^8 b^4 u^3 v^3 w^3 y^2 z^4 +
 40 a^6 b^6 u^3 v^3 w^3 y^2 z^4 - 19 a^4 b^8 u^3 v^3 w^3 y^2 z^4 -
 6 a^2 b^10 u^3 v^3 w^3 y^2 z^4 + 12 a^10 c^2 u^3 v^3 w^3 y^2 z^4 +
 28 a^8 b^2 c^2 u^3 v^3 w^3 y^2 z^4 -
 20 a^6 b^4 c^2 u^3 v^3 w^3 y^2 z^4 +
 52 a^4 b^6 c^2 u^3 v^3 w^3 y^2 z^4 +
 24 a^2 b^8 c^2 u^3 v^3 w^3 y^2 z^4 -
 18 a^8 c^4 u^3 v^3 w^3 y^2 z^4 -
 32 a^6 b^2 c^4 u^3 v^3 w^3 y^2 z^4 -
 50 a^4 b^4 c^4 u^3 v^3 w^3 y^2 z^4 -
 36 a^2 b^6 c^4 u^3 v^3 w^3 y^2 z^4 +
 12 a^6 c^6 u^3 v^3 w^3 y^2 z^4 +
 20 a^4 b^2 c^6 u^3 v^3 w^3 y^2 z^4 +
 24 a^2 b^4 c^6 u^3 v^3 w^3 y^2 z^4 - 3 a^4 c^8 u^3 v^3 w^3 y^2 z^4 -
 6 a^2 b^2 c^8 u^3 v^3 w^3 y^2 z^4 - 2 a^12 u^2 v^4 w^3 y^2 z^4 +
 12 a^10 b^2 u^2 v^4 w^3 y^2 z^4 - 20 a^8 b^4 u^2 v^4 w^3 y^2 z^4 +
 12 a^6 b^6 u^2 v^4 w^3 y^2 z^4 - 2 a^4 b^8 u^2 v^4 w^3 y^2 z^4 +
 2 a^10 c^2 u^2 v^4 w^3 y^2 z^4 +
 14 a^8 b^2 c^2 u^2 v^4 w^3 y^2 z^4 +
 14 a^6 b^4 c^2 u^2 v^4 w^3 y^2 z^4 +
 2 a^4 b^6 c^2 u^2 v^4 w^3 y^2 z^4 + 6 a^8 c^4 u^2 v^4 w^3 y^2 z^4 -
 16 a^6 b^2 c^4 u^2 v^4 w^3 y^2 z^4 +
 6 a^4 b^4 c^4 u^2 v^4 w^3 y^2 z^4 - 10 a^6 c^6 u^2 v^4 w^3 y^2 z^4 -
 10 a^4 b^2 c^6 u^2 v^4 w^3 y^2 z^4 + 4 a^4 c^8 u^2 v^4 w^3 y^2 z^4 +
 2 a^12 u v^5 w^3 y^2 z^4 - 8 a^6 b^6 u v^5 w^3 y^2 z^4 +
 6 a^4 b^8 u v^5 w^3 y^2 z^4 + 4 a^10 c^2 u v^5 w^3 y^2 z^4 +
 8 a^8 b^2 c^2 u v^5 w^3 y^2 z^4 + 12 a^6 b^4 c^2 u v^5 w^3 y^2 z^4 -
 24 a^4 b^6 c^2 u v^5 w^3 y^2 z^4 - 8 a^8 c^4 u v^5 w^3 y^2 z^4 +
 36 a^4 b^4 c^4 u v^5 w^3 y^2 z^4 - 4 a^6 c^6 u v^5 w^3 y^2 z^4 -
 24 a^4 b^2 c^6 u v^5 w^3 y^2 z^4 + 6 a^4 c^8 u v^5 w^3 y^2 z^4 +
 3 a^8 b^4 u^5 w^4 y^2 z^4 + 4 a^6 b^6 u^5 w^4 y^2 z^4 -
 2 a^4 b^8 u^5 w^4 y^2 z^4 - 4 a^2 b^10 u^5 w^4 y^2 z^4 -
 b^12 u^5 w^4 y^2 z^4 - 8 a^6 b^4 c^2 u^5 w^4 y^2 z^4 -
 4 a^4 b^6 c^2 u^5 w^4 y^2 z^4 + 8 a^2 b^8 c^2 u^5 w^4 y^2 z^4 +
 4 b^10 c^2 u^5 w^4 y^2 z^4 + 6 a^4 b^4 c^4 u^5 w^4 y^2 z^4 -
 4 a^2 b^6 c^4 u^5 w^4 y^2 z^4 - 6 b^8 c^4 u^5 w^4 y^2 z^4 +
 4 b^6 c^6 u^5 w^4 y^2 z^4 - b^4 c^8 u^5 w^4 y^2 z^4 -
 7 a^10 b^2 u^4 v w^4 y^2 z^4 + 12 a^8 b^4 u^4 v w^4 y^2 z^4 +
 14 a^6 b^6 u^4 v w^4 y^2 z^4 - 12 a^4 b^8 u^4 v w^4 y^2 z^4 -
 7 a^2 b^10 u^4 v w^4 y^2 z^4 + 28 a^8 b^2 c^2 u^4 v w^4 y^2 z^4 +
 4 a^6 b^4 c^2 u^4 v w^4 y^2 z^4 + 28 a^4 b^6 c^2 u^4 v w^4 y^2 z^4 +
 28 a^2 b^8 c^2 u^4 v w^4 y^2 z^4 -
 42 a^6 b^2 c^4 u^4 v w^4 y^2 z^4 -
 44 a^4 b^4 c^4 u^4 v w^4 y^2 z^4 -
 42 a^2 b^6 c^4 u^4 v w^4 y^2 z^4 +
 28 a^4 b^2 c^6 u^4 v w^4 y^2 z^4 +
 28 a^2 b^4 c^6 u^4 v w^4 y^2 z^4 - 7 a^2 b^2 c^8 u^4 v w^4 y^2 z^4 -
 2 a^12 u^3 v^2 w^4 y^2 z^4 - 10 a^10 b^2 u^3 v^2 w^4 y^2 z^4 -
 4 a^8 b^4 u^3 v^2 w^4 y^2 z^4 + 16 a^6 b^6 u^3 v^2 w^4 y^2 z^4 +
 6 a^4 b^8 u^3 v^2 w^4 y^2 z^4 - 6 a^2 b^10 u^3 v^2 w^4 y^2 z^4 +
 10 a^10 c^2 u^3 v^2 w^4 y^2 z^4 +
 44 a^8 b^2 c^2 u^3 v^2 w^4 y^2 z^4 +
 36 a^6 b^4 c^2 u^3 v^2 w^4 y^2 z^4 +
 20 a^4 b^6 c^2 u^3 v^2 w^4 y^2 z^4 +
 26 a^2 b^8 c^2 u^3 v^2 w^4 y^2 z^4 -
 20 a^8 c^4 u^3 v^2 w^4 y^2 z^4 -
 72 a^6 b^2 c^4 u^3 v^2 w^4 y^2 z^4 -
 68 a^4 b^4 c^4 u^3 v^2 w^4 y^2 z^4 -
 44 a^2 b^6 c^4 u^3 v^2 w^4 y^2 z^4 +
 20 a^6 c^6 u^3 v^2 w^4 y^2 z^4 +
 52 a^4 b^2 c^6 u^3 v^2 w^4 y^2 z^4 +
 36 a^2 b^4 c^6 u^3 v^2 w^4 y^2 z^4 -
 10 a^4 c^8 u^3 v^2 w^4 y^2 z^4 -
 14 a^2 b^2 c^8 u^3 v^2 w^4 y^2 z^4 + 2 a^2 c^10 u^3 v^2 w^4 y^2 z^4 -
  a^12 u^2 v^3 w^4 y^2 z^4 - 18 a^10 b^2 u^2 v^3 w^4 y^2 z^4 -
 12 a^8 b^4 u^2 v^3 w^4 y^2 z^4 + 26 a^6 b^6 u^2 v^3 w^4 y^2 z^4 +
 5 a^4 b^8 u^2 v^3 w^4 y^2 z^4 + 4 a^10 c^2 u^2 v^3 w^4 y^2 z^4 +
 34 a^8 b^2 c^2 u^2 v^3 w^4 y^2 z^4 -
 16 a^6 b^4 c^2 u^2 v^3 w^4 y^2 z^4 -
 14 a^4 b^6 c^2 u^2 v^3 w^4 y^2 z^4 - 6 a^8 c^4 u^2 v^3 w^4 y^2 z^4 -
 14 a^6 b^2 c^4 u^2 v^3 w^4 y^2 z^4 +
 12 a^4 b^4 c^4 u^2 v^3 w^4 y^2 z^4 + 4 a^6 c^6 u^2 v^3 w^4 y^2 z^4 -
 2 a^4 b^2 c^6 u^2 v^3 w^4 y^2 z^4 - a^4 c^8 u^2 v^3 w^4 y^2 z^4 -
 4 a^12 u v^4 w^4 y^2 z^4 - 2 a^10 b^2 u v^4 w^4 y^2 z^4 -
 2 a^8 b^4 u v^4 w^4 y^2 z^4 + 2 a^6 b^6 u v^4 w^4 y^2 z^4 +
 6 a^4 b^8 u v^4 w^4 y^2 z^4 + 6 a^10 c^2 u v^4 w^4 y^2 z^4 -
 4 a^8 b^2 c^2 u v^4 w^4 y^2 z^4 - 18 a^6 b^4 c^2 u v^4 w^4 y^2 z^4 -
 24 a^4 b^6 c^2 u v^4 w^4 y^2 z^4 + 6 a^8 c^4 u v^4 w^4 y^2 z^4 +
 30 a^6 b^2 c^4 u v^4 w^4 y^2 z^4 +
 36 a^4 b^4 c^4 u v^4 w^4 y^2 z^4 - 14 a^6 c^6 u v^4 w^4 y^2 z^4 -
 24 a^4 b^2 c^6 u v^4 w^4 y^2 z^4 + 6 a^4 c^8 u v^4 w^4 y^2 z^4 +
 2 a^8 b^4 u^4 w^5 y^2 z^4 + 6 a^6 b^6 u^4 w^5 y^2 z^4 +
 6 a^4 b^8 u^4 w^5 y^2 z^4 + 2 a^2 b^10 u^4 w^5 y^2 z^4 -
 6 a^6 b^4 c^2 u^4 w^5 y^2 z^4 - 12 a^4 b^6 c^2 u^4 w^5 y^2 z^4 -
 6 a^2 b^8 c^2 u^4 w^5 y^2 z^4 + 6 a^4 b^4 c^4 u^4 w^5 y^2 z^4 +
 6 a^2 b^6 c^4 u^4 w^5 y^2 z^4 - 2 a^2 b^4 c^6 u^4 w^5 y^2 z^4 -
 a^10 b^2 u^3 v w^5 y^2 z^4 + 12 a^8 b^4 u^3 v w^5 y^2 z^4 +
 26 a^6 b^6 u^3 v w^5 y^2 z^4 + 12 a^4 b^8 u^3 v w^5 y^2 z^4 -
 a^2 b^10 u^3 v w^5 y^2 z^4 + 4 a^8 b^2 c^2 u^3 v w^5 y^2 z^4 -
 20 a^6 b^4 c^2 u^3 v w^5 y^2 z^4 -
 20 a^4 b^6 c^2 u^3 v w^5 y^2 z^4 + 4 a^2 b^8 c^2 u^3 v w^5 y^2 z^4 -
 6 a^6 b^2 c^4 u^3 v w^5 y^2 z^4 + 4 a^4 b^4 c^4 u^3 v w^5 y^2 z^4 -
 6 a^2 b^6 c^4 u^3 v w^5 y^2 z^4 + 4 a^4 b^2 c^6 u^3 v w^5 y^2 z^4 +
 4 a^2 b^4 c^6 u^3 v w^5 y^2 z^4 - a^2 b^2 c^8 u^3 v w^5 y^2 z^4 +
 4 a^10 b^2 u^2 v^2 w^5 y^2 z^4 + 20 a^8 b^4 u^2 v^2 w^5 y^2 z^4 +
 20 a^6 b^6 u^2 v^2 w^5 y^2 z^4 + 4 a^4 b^8 u^2 v^2 w^5 y^2 z^4 -
 12 a^8 b^2 c^2 u^2 v^2 w^5 y^2 z^4 -
 32 a^6 b^4 c^2 u^2 v^2 w^5 y^2 z^4 -
 12 a^4 b^6 c^2 u^2 v^2 w^5 y^2 z^4 +
 12 a^6 b^2 c^4 u^2 v^2 w^5 y^2 z^4 +
 12 a^4 b^4 c^4 u^2 v^2 w^5 y^2 z^4 -
 4 a^4 b^2 c^6 u^2 v^2 w^5 y^2 z^4 + 2 a^12 u v^3 w^5 y^2 z^4 +
 4 a^10 b^2 u v^3 w^5 y^2 z^4 + 4 a^8 b^4 u v^3 w^5 y^2 z^4 +
 4 a^6 b^6 u v^3 w^5 y^2 z^4 + 2 a^4 b^8 u v^3 w^5 y^2 z^4 -
 8 a^10 c^2 u v^3 w^5 y^2 z^4 - 16 a^8 b^2 c^2 u v^3 w^5 y^2 z^4 -
 16 a^6 b^4 c^2 u v^3 w^5 y^2 z^4 - 8 a^4 b^6 c^2 u v^3 w^5 y^2 z^4 +
 12 a^8 c^4 u v^3 w^5 y^2 z^4 + 20 a^6 b^2 c^4 u v^3 w^5 y^2 z^4 +
 12 a^4 b^4 c^4 u v^3 w^5 y^2 z^4 - 8 a^6 c^6 u v^3 w^5 y^2 z^4 -
 8 a^4 b^2 c^6 u v^3 w^5 y^2 z^4 + 2 a^4 c^8 u v^3 w^5 y^2 z^4