print(`This file contains several systems:  Wolf's challenge system WolfConsSys from`);
print(`conservation laws - a system of 148 PDE in 2 dependent variables qne 10 indep variables`);

WolfConsSys := 
[diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m),m2),u11), diff(diff
(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m),m),u11), diff(diff(Q1(t,x,m,u,m2,u1,
u2,m22,u11,u12),m),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),
m2),u11), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),m2),u11), diff(
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u12),u2), diff(diff(diff(Q2(t,x,
m,u,m2,u1,u2,m22,u11,u12),m2),u12),u2), diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,
u12),m2),u11), diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),u11), diff(diff(
diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m),m22),u11), diff(diff(diff(Q1(t,x,m,u,
m2,u1,u2,m22,u11,u12),m2),m22),u11), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,
u11,u12),m2),m22),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m),m22
),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),m22),u12), diff(
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m),m22),u12), diff(diff(diff(Q2(t,x
,m,u,m2,u1,u2,m22,u11,u12),m2),m22),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,
m22,u11,u12),m),u11),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m2)
,u11),u11), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),u11),u11), 
diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12),u2), diff(diff(diff(
Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11),u11), diff(diff(diff(Q1(t,x,m,u,m2,
u1,u2,m22,u11,u12),u11),u11),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,
u12),m),u11),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),u11),
u12), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),u11),u12), diff(diff
(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),u12),u2), diff(diff(diff(Q2(t,x,m,
u,m2,u1,u2,m22,u11,u12),u11),u11),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22
,u11,u12),u11),u11),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m),
u12),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),u12),u12), diff
(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u12),u12), diff(diff(diff(Q2(t,
x,m,u,m2,u1,u2,m22,u11,u12),m2),u12),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,
m22,u11,u12),u11),u12),u12), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),
u11),u12),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),u12),u12)
, diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),u12),u12), diff(diff(Q2
(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u12), diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,
u12),m2),u12), diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11), diff(diff
(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11), diff(diff(Q2(t,x,m,u,m2,u1,u2,m22
,u11,u12),u11),u12), diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12), 
diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),u12), diff(diff(Q2(t,x,m,u,m2,
u1,u2,m22,u11,u12),u12),u12), diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u12), diff
(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u2),u2), diff(diff(diff(Q1(t,
x,m,u,m2,u1,u2,m22,u11,u12),m22),u2),u2), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,
m22,u11,u12),m22),m22),u2), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),
m22),m22),u2), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),m22),
diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),m22), diff(Q1(t,x,m,
u,m2,u1,u2,m22,u11,u12),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),
m22),m22),u11), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u11)
, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11),u2), diff(diff(
diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11),u2), diff(diff(diff(Q2(t,x,m,u
,m2,u1,u2,m22,u11,u12),m22),u11),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,
u11,u12),m22),u11),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),
m22),u12), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u12), 
diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u2), diff(diff(diff(
Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u2), diff(diff(diff(Q2(t,x,m,u,m2,
u1,u2,m22,u11,u12),m22),u11),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,
u12),m22),u11),u12), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12)
,u12), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u12), diff(
diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u2), diff(diff(Q2(t,x,m,u,m2,u1,u2,
m22,u11,u12),m22),u2), diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22), 
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22), diff(diff(Q2(t,x,m,u,m2,
u1,u2,m22,u11,u12),m22),u11), diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),
u11), diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12), diff(diff(Q2(t,x,m
,u,m2,u1,u2,m22,u11,u12),m22),u12), diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22)
, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u12),u2)+diff(diff(diff(
Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m),m),u11), diff(diff(Q1(t,x,m,u,m2,u1,u2,m22
,u11,u12),u12),u2)+diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u11), diff(
diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),u12),u2)+2*diff(diff(diff(Q2(t,
x,m,u,m2,u1,u2,m22,u11,u12),m),m2),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,
m22,u11,u12),m22),u12),u2)+2*diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m
),m22),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12),u2)+2*
diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u11),u11), diff(diff(diff(
Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),u12),u2)+3*diff(diff(diff(Q2(t,x,m,u,m2,
u1,u2,m22,u11,u12),m),u11),u12), diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,
u12),t),u12),u2)+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u),u12),u2)*
u1+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u1),u12),u2)*u11+diff(diff(
diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),u2),u2)*u12, diff(diff(diff(Q1(t,x,
m,u,m2,u1,u2,m22,u11,u12),u11),u11),u11)*b*m*u2+diff(diff(diff(Q1(t,x,m,u,m2,
u1,u2,m22,u11,u12),u11),u11),u11)*m2*u+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,
u11,u12),u11),u11),u11)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11)
,u11),u11)*u, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11),u12)*b
*m*u2+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11),u12)*m2*u+diff
(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11),u12)*m-diff(diff(diff(Q2
(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11),u12)*u, diff(diff(Q2(t,x,m,u,m2,u1,u2
,m22,u11,u12),t),u12)+diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u),u12)*u1+
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u1),u12)*u11+diff(diff(Q2(t,x,m,u,
m2,u1,u2,m22,u11,u12),u12),u2)*u12, diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12)
,u11),u11)*b*m*u2+diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11)*m2*u+
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11)*m-diff(diff(Q2(t,x,m,u,m2
,u1,u2,m22,u11,u12),u11),u11)*u, diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),
u11),u12)*b*m*u2+diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12)*m2*u+
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12)*m-diff(diff(Q2(t,x,m,u,m2
,u1,u2,m22,u11,u12),u11),u12)*u, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,
u12),m22),m22),m22)*b*m*u2+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22
),m22),m22)*m2*u+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),m22
)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),m22)*u, diff(
diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u11)*b*m*u2+diff(diff(
diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u11)*m2*u+diff(diff(diff(Q2(t,
x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u11)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,
u2,m22,u11,u12),m22),m22),u11)*u, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,
u12),m22),u11),u11)*b*m*u2+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22
),u11),u11)*m2*u+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11),u11
)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11),u11)*u, diff(
diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u12)*b*m*u2+diff(diff(
diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u12)*m2*u+diff(diff(diff(Q2(t,
x,m,u,m2,u1,u2,m22,u11,u12),m22),m22),u12)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,
u2,m22,u11,u12),m22),m22),u12)*u, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,
u12),m22),u11),u12)*b*m*u2+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22
),u11),u12)*m2*u+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11),u12
)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11),u12)*u, diff(
diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u12)*b*m*u2+diff(diff(
diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u12)*m2*u+diff(diff(diff(Q2(t,
x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u12)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,
u2,m22,u11,u12),m22),u12),u12)*u, diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),
m22),m22)*b*m*u2+diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22)*m2*u+
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),m22)*m-diff(diff(Q2(t,x,m,u,m2
,u1,u2,m22,u11,u12),m22),m22)*u, diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),
m22),u11)*b*m*u2+diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11)*m2*u+
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u11)*m-diff(diff(Q2(t,x,m,u,m2
,u1,u2,m22,u11,u12),m22),u11)*u, diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),
m22),u12)*b*m*u2+diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12)*m2*u+
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12)*m-diff(diff(Q2(t,x,m,u,m2
,u1,u2,m22,u11,u12),m22),u12)*u, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,
u12),m2),m22),u12)*b*m*u2+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),
m22),u12)*m2*u+diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12)*u+diff(
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m2),m22),u12)*m-diff(diff(diff(Q2(t
,x,m,u,m2,u1,u2,m22,u11,u12),m2),m22),u12)*u, diff(diff(diff(Q2(t,x,m,u,m2,u1,
u2,m22,u11,u12),m22),t),u12)+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),
m22),u),u12)*u1+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u1),u12)*
u11+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u2)*u12+diff(
diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u2), 2*diff(diff(diff(Q1(t,x,m,u,m2
,u1,u2,m22,u11,u12),u11),u12),u12)*b*m*u2+2*diff(diff(diff(Q1(t,x,m,u,m2,u1,u2
,m22,u11,u12),u11),u12),u12)*m2*u+2*diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11
,u12),u11),u12),u12)*m-2*diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),
u12),u12)*u+diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u11), diff(diff(
diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),t),u12),u12)+diff(diff(diff(Q2(t,x,m,u,
m2,u1,u2,m22,u11,u12),u),u12),u12)*u1+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,
u11,u12),u1),u12),u12)*u11+3*diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),
u2)+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),u12),u2)*u12, diff(
diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u12)*b*m*u2+diff(diff(
diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12),u12)*m2*u+2*diff(diff(Q2(t,x,m
,u,m2,u1,u2,m22,u11,u12),m22),u11)+diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,
u12),m22),u12),u12)*m-diff(diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m22),u12
),u12)*u, diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12),u12)*b*m*
u2+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12),u12)*m2*u+diff(
diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12),u12)*m-diff(diff(diff(Q2(
t,x,m,u,m2,u1,u2,m22,u11,u12),u11),u12),u12)*u+2*diff(diff(Q2(t,x,m,u,m2,u1,u2
,m22,u11,u12),u11),u11), diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u12),
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u1+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u1),u11),u12)*u12+2*diff(
diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u1),u11),u11)*u11+diff(diff(diff(Q1
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diff(diff(Q2(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u11)+diff(diff(diff(Q2(t,x,m,u,
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u12),m),m),u11)*u, diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),m),u11)*b*m*u2+
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u,m2,u1,u2,m22,u11,u12),t),t),u11)*b*m*u2-diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,
u11,u12),u),u1)*m2*u*u1+diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u),u11)*m2*
u*u11+diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u),u12),x)*m2*u*u1+diff(
diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u),u12)*m2*u*u12+diff(diff(Q1(t,x,m,u,m2
,u1,u2,m22,u11,u12),u),u12)*m22*u*u1-diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12
),u),u2)*b*m*u2^2-diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u),u2)*m2*u*u2+
diff(diff(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u),u),u11)*m2*u*u1^2+diff(diff
(diff(Q1(t,x,m,u,m2,u1,u2,m22,u11,u12),u1),u12),u2)*m2*u*u12^2]:


print(`This file also contains the classical symmetry defining system of 1888 PDE - csys`);
print(`for symmetries of the Cubic Nonlinear Schrodinger System`);


csys := [diff(diff(beta(t,y,x,z,q,r,p,s),p),p), diff(diff(tau(t,y,x,z,q,r,p,s),
s),s), diff(diff(alpha(t,y,x,z,q,r,p,s),s),s), diff(diff(beta(t,y,x,z,q,r,p,s)
,s),s), diff(xi(t,y,x,z,q,r,p,s),p), diff(tau(t,y,x,z,q,r,p,s),p), diff(diff(
beta(t,y,x,z,q,r,p,s),r),r), diff(diff(alpha(t,y,x,z,q,r,p,s),s),s), diff(diff
(tau(t,y,x,z,q,r,p,s),q),q), diff(beta(t,y,x,z,q,r,p,s),p), diff(alpha(t,y,x,z
,q,r,p,s),p), diff(diff(alpha(t,y,x,z,q,r,p,s),q),q), diff(xi(t,y,x,z,q,r,p,s)
,p), diff(diff(tau(t,y,x,z,q,r,p,s),p),p), diff(xi(t,y,x,z,q,r,p,s),p), diff(
xi(t,y,x,z,q,r,p,s),p), diff(tau(t,y,x,z,q,r,p,s),p), diff(alpha(t,y,x,z,q,r,p
,s),p), diff(alpha(t,y,x,z,q,r,p,s),p), diff(beta(t,y,x,z,q,r,p,s),p), diff(xi
(t,y,x,z,q,r,p,s),p), diff(xi(t,y,x,z,q,r,p,s),p), diff(xi(t,y,x,z,q,r,p,s),p)
, diff(beta(t,y,x,z,q,r,p,s),p), diff(tau(t,y,x,z,q,r,p,s),p), diff(diff(alpha
(t,y,x,z,q,r,p,s),r),r), diff(diff(beta(t,y,x,z,q,r,p,s),p),p), diff(alpha(t,y
,x,z,q,r,p,s),p), -2*diff(xi(t,y,x,z,q,r,p,s),y), diff(tau(t,y,x,z,q,r,p,s),p)
, diff(beta(t,y,x,z,q,r,p,s),q), diff(alpha(t,y,x,z,q,r,p,s),q), -diff(diff(xi
(t,y,x,z,q,r,p,s),r),r)*s*q^2-diff(diff(xi(t,y,x,z,q,r,p,s),r),r)*s^3-diff(
diff(xi(t,y,x,z,q,r,p,s),r),r)*s*p^2+2*diff(diff(beta(t,y,x,z,q,r,p,s),r),z)-4
*r*s*diff(xi(t,y,x,z,q,r,p,s),r)-diff(diff(xi(t,y,x,z,q,r,p,s),r),r)*r^2*s-
diff(diff(phi(t,y,x,z,q,r,p,s),r),r), diff(tau(t,y,x,z,q,r,p,s),q), diff(diff(
tau(t,y,x,z,q,r,p,s),s),s), diff(diff(tau(t,y,x,z,q,r,p,s),q),q), diff(diff(
alpha(t,y,x,z,q,r,p,s),q),q), diff(beta(t,y,x,z,q,r,p,s),p), diff(diff(beta(t,
y,x,z,q,r,p,s),q),q), diff(diff(alpha(t,y,x,z,q,r,p,s),p),p), diff(xi(t,y,x,z,
q,r,p,s),p), diff(diff(tau(t,y,x,z,q,r,p,s),p),p), diff(diff(alpha(t,y,x,z,q,r
,p,s),p),p), diff(beta(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),
z), diff(alpha(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),x), diff
(tau(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),y), diff(alpha(t,y
,x,z,q,r,p,s),p), diff(tau(t,y,x,z,q,r,p,s),p), diff(diff(tau(t,y,x,z,q,r,p,s)
,q),q), diff(diff(alpha(t,y,x,z,q,r,p,s),q),q), diff(diff(beta(t,y,x,z,q,r,p,s
),q),q), diff(beta(t,y,x,z,q,r,p,s),r), diff(alpha(t,y,x,z,q,r,p,s),r), diff(
tau(t,y,x,z,q,r,p,s),s), diff(beta(t,y,x,z,q,r,p,s),p), diff(alpha(t,y,x,z,q,r
,p,s),p), diff(tau(t,y,x,z,q,r,p,s),p), diff(beta(t,y,x,z,q,r,p,s),s)-2*diff(
diff(xi(t,y,x,z,q,r,p,s),r),z), diff(alpha(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(
t,y,x,z,q,r,p,s),r),x), diff(tau(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y,x,z,q,
r,p,s),r),y), diff(beta(t,y,x,z,q,r,p,s),q), diff(alpha(t,y,x,z,q,r,p,s),q), 
diff(tau(t,y,x,z,q,r,p,s),q), diff(beta(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y
,x,z,q,r,p,s),r),z), diff(alpha(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y,x,z,q,r
,p,s),r),x), diff(tau(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),y
), diff(alpha(t,y,x,z,q,r,p,s),r), -diff(xi(t,y,x,z,q,r,p,s),s), diff(alpha(t,
y,x,z,q,r,p,s),q), diff(tau(t,y,x,z,q,r,p,s),q), -diff(diff(xi(t,y,x,z,q,r,p,s
),s),s), diff(tau(t,y,x,z,q,r,p,s),r), diff(diff(tau(t,y,x,z,q,r,p,s),r),r), 
diff(beta(t,y,x,z,q,r,p,s),q), -2*diff(diff(xi(t,y,x,z,q,r,p,s),s),x)+diff(
alpha(t,y,x,z,q,r,p,s),r), -diff(diff(xi(t,y,x,z,q,r,p,s),s),s), -2*diff(diff(
xi(t,y,x,z,q,r,p,s),p),z)*s*p^2-4*s*p*diff(xi(t,y,x,z,q,r,p,s),z)-2*diff(diff(
xi(t,y,x,z,q,r,p,s),p),z)*s*q^2-2*diff(diff(phi(t,y,x,z,q,r,p,s),p),z)-2*diff(
diff(xi(t,y,x,z,q,r,p,s),p),z)*s^3-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),z)*r^2*s
, -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),z)*s*q^2-2*diff(diff(phi(t,y,x,z,q,r,p,s
),q),z)-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),z)*s*p^2-2*diff(diff(xi(t,y,x,z,q,r
,p,s),q),z)*s^3-4*s*q*diff(xi(t,y,x,z,q,r,p,s),z)-2*diff(diff(xi(t,y,x,z,q,r,p
,s),q),z)*r^2*s, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),y)*s*q^2-4*diff(xi(t,y,x,
z,q,r,p,s),y)*s*p-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),y)*s^3-2*diff(diff(xi(t,y
,x,z,q,r,p,s),p),y)*r^2*s-2*diff(diff(phi(t,y,x,z,q,r,p,s),p),y)-2*diff(diff(
xi(t,y,x,z,q,r,p,s),p),y)*s*p^2, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),x)*s*p^2-\
2*diff(diff(xi(t,y,x,z,q,r,p,s),p),x)*s^3-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),x
)*r^2*s-2*diff(diff(phi(t,y,x,z,q,r,p,s),p),x)-2*diff(diff(xi(t,y,x,z,q,r,p,s)
,p),x)*s*q^2-4*s*p*diff(xi(t,y,x,z,q,r,p,s),x), -2*diff(xi(t,y,x,z,q,r,p,s),s)
, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),z), diff(beta(t,y,x,z,q,r,p,s),r)-2*diff
(diff(xi(t,y,x,z,q,r,p,s),s),z), -diff(xi(t,y,x,z,q,r,p,s),q), -2*diff(diff(xi
(t,y,x,z,q,r,p,s),q),y), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r)*s*p^2-2*diff(
diff(xi(t,y,x,z,q,r,p,s),q),r)*r^2*s+2*diff(diff(alpha(t,y,x,z,q,r,p,s),q),x)-\
2*diff(diff(phi(t,y,x,z,q,r,p,s),q),r)-4*s*q*diff(xi(t,y,x,z,q,r,p,s),r)-2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),r)*s^3-4*r*s*diff(xi(t,y,x,z,q,r,p,s),q)-2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),r)*s*q^2, -2*diff(diff(phi(t,y,x,z,q,r,p,s),s
),x)+q^3*diff(alpha(t,y,x,z,q,r,p,s),p)-2*diff(diff(xi(t,y,x,z,q,r,p,s),s),x)*
s^3-r^3*diff(alpha(t,y,x,z,q,r,p,s),s)-2*r^2*diff(xi(t,y,x,z,q,r,p,s),x)+s^3*
diff(alpha(t,y,x,z,q,r,p,s),r)-p^3*diff(alpha(t,y,x,z,q,r,p,s),q)-2*p^2*diff(
xi(t,y,x,z,q,r,p,s),x)-2*q^2*diff(xi(t,y,x,z,q,r,p,s),x)-6*s^2*diff(xi(t,y,x,z
,q,r,p,s),x)-r*q^2*diff(alpha(t,y,x,z,q,r,p,s),s)-2*diff(diff(xi(t,y,x,z,q,r,p
,s),s),x)*r^2*s-2*diff(diff(xi(t,y,x,z,q,r,p,s),s),x)*s*p^2-p*q^2*diff(alpha(t
,y,x,z,q,r,p,s),q)-2*diff(diff(xi(t,y,x,z,q,r,p,s),s),x)*s*q^2-r*s^2*diff(
alpha(t,y,x,z,q,r,p,s),s)-r*p^2*diff(alpha(t,y,x,z,q,r,p,s),s)+q*r^2*diff(
alpha(t,y,x,z,q,r,p,s),p)+q*s^2*diff(alpha(t,y,x,z,q,r,p,s),p)+r^2*s*diff(
alpha(t,y,x,z,q,r,p,s),r)+s*p^2*diff(alpha(t,y,x,z,q,r,p,s),r)+s*q^2*diff(
alpha(t,y,x,z,q,r,p,s),r)-p*s^2*diff(alpha(t,y,x,z,q,r,p,s),q)-p*r^2*diff(
alpha(t,y,x,z,q,r,p,s),q)+p^2*q*diff(alpha(t,y,x,z,q,r,p,s),p)-diff(alpha(t,y,
x,z,q,r,p,s),t), -2*diff(xi(t,y,x,z,q,r,p,s),x), -2*diff(xi(t,y,x,z,q,r,p,s),z
), -2*diff(xi(t,y,x,z,q,r,p,s),y), -2*diff(xi(t,y,x,z,q,r,p,s),y), -2*diff(xi(
t,y,x,z,q,r,p,s),x), -2*diff(xi(t,y,x,z,q,r,p,s),z), -2*diff(xi(t,y,x,z,q,r,p,
s),x), -2*diff(xi(t,y,x,z,q,r,p,s),z), -diff(theta(t,y,x,z,q,r,p,s),p)+diff(xi
(t,y,x,z,q,r,p,s),p)*r*p^2-diff(phi(t,y,x,z,q,r,p,s),q)-diff(xi(t,y,x,z,q,r,p,
s),q)*s^3+diff(xi(t,y,x,z,q,r,p,s),p)*r*q^2+diff(xi(t,y,x,z,q,r,p,s),p)*r^3-
diff(xi(t,y,x,z,q,r,p,s),q)*s*p^2-diff(xi(t,y,x,z,q,r,p,s),q)*s*q^2+diff(xi(t,
y,x,z,q,r,p,s),p)*r*s^2-diff(xi(t,y,x,z,q,r,p,s),q)*r^2*s, -2*diff(diff(xi(t,y
,x,z,q,r,p,s),s),y)+diff(tau(t,y,x,z,q,r,p,s),r), -2*diff(diff(xi(t,y,x,z,q,r,
p,s),s),x)+diff(alpha(t,y,x,z,q,r,p,s),r), -2*diff(diff(xi(t,y,x,z,q,r,p,s),s)
,y)+diff(tau(t,y,x,z,q,r,p,s),r), -diff(diff(xi(t,y,x,z,q,r,p,s),q),q), -diff(
theta(t,y,x,z,q,r,p,s),p)+diff(xi(t,y,x,z,q,r,p,s),p)*r*p^2-diff(phi(t,y,x,z,q
,r,p,s),q)-diff(xi(t,y,x,z,q,r,p,s),q)*s^3+diff(xi(t,y,x,z,q,r,p,s),p)*r*q^2+
diff(xi(t,y,x,z,q,r,p,s),p)*r^3-diff(xi(t,y,x,z,q,r,p,s),q)*s*p^2-diff(xi(t,y,
x,z,q,r,p,s),q)*s*q^2+diff(xi(t,y,x,z,q,r,p,s),p)*r*s^2-diff(xi(t,y,x,z,q,r,p,
s),q)*r^2*s, -diff(diff(xi(t,y,x,z,q,r,p,s),q),q), -diff(theta(t,y,x,z,q,r,p,s
),p)+diff(xi(t,y,x,z,q,r,p,s),p)*r*p^2-diff(phi(t,y,x,z,q,r,p,s),q)-diff(xi(t,
y,x,z,q,r,p,s),q)*s^3+diff(xi(t,y,x,z,q,r,p,s),p)*r*q^2+diff(xi(t,y,x,z,q,r,p,
s),p)*r^3-diff(xi(t,y,x,z,q,r,p,s),q)*s*p^2-diff(xi(t,y,x,z,q,r,p,s),q)*s*q^2+
diff(xi(t,y,x,z,q,r,p,s),p)*r*s^2-diff(xi(t,y,x,z,q,r,p,s),q)*r^2*s, diff(beta
(t,y,x,z,q,r,p,s),r)-2*diff(diff(xi(t,y,x,z,q,r,p,s),s),z), -diff(xi(t,y,x,z,q
,r,p,s),p)*s*q^2+diff(theta(t,y,x,z,q,r,p,s),q)-diff(xi(t,y,x,z,q,r,p,s),p)*s*
p^2-diff(xi(t,y,x,z,q,r,p,s),q)*r^3-diff(xi(t,y,x,z,q,r,p,s),q)*r*s^2-diff(xi(
t,y,x,z,q,r,p,s),q)*r*q^2-diff(xi(t,y,x,z,q,r,p,s),q)*r*p^2-diff(phi(t,y,x,z,q
,r,p,s),p)-diff(xi(t,y,x,z,q,r,p,s),p)*r^2*s-diff(xi(t,y,x,z,q,r,p,s),p)*s^3,
-diff(diff(xi(t,y,x,z,q,r,p,s),y),y)+diff(xi(t,y,x,z,q,r,p,s),r)*r*p^2-diff(xi
(t,y,x,z,q,r,p,s),s)*s^3-diff(xi(t,y,x,z,q,r,p,s),s)*r^2*s-diff(xi(t,y,x,z,q,r
,p,s),s)*s*p^2+diff(xi(t,y,x,z,q,r,p,s),r)*r*q^2-diff(xi(t,y,x,z,q,r,p,s),s)*s
*q^2-diff(phi(t,y,x,z,q,r,p,s),s)+diff(xi(t,y,x,z,q,r,p,s),r)*r*s^2+diff(xi(t,
y,x,z,q,r,p,s),r)*r^3-diff(theta(t,y,x,z,q,r,p,s),r)-diff(diff(xi(t,y,x,z,q,r,
p,s),z),z)-diff(diff(xi(t,y,x,z,q,r,p,s),x),x), -2*diff(diff(xi(t,y,x,z,q,r,p,
s),p),z), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),z), diff(diff(beta(t,y,x,z,q,r,p
,s),s),s), -diff(diff(xi(t,y,x,z,q,r,p,s),y),y)+diff(xi(t,y,x,z,q,r,p,s),r)*r*
p^2-diff(xi(t,y,x,z,q,r,p,s),s)*s^3-diff(xi(t,y,x,z,q,r,p,s),s)*r^2*s-diff(xi(
t,y,x,z,q,r,p,s),s)*s*p^2+diff(xi(t,y,x,z,q,r,p,s),r)*r*q^2-diff(xi(t,y,x,z,q,
r,p,s),s)*s*q^2-diff(phi(t,y,x,z,q,r,p,s),s)+diff(xi(t,y,x,z,q,r,p,s),r)*r*s^2
+diff(xi(t,y,x,z,q,r,p,s),r)*r^3-diff(theta(t,y,x,z,q,r,p,s),r)-diff(diff(xi(t
,y,x,z,q,r,p,s),z),z)-diff(diff(xi(t,y,x,z,q,r,p,s),x),x), -diff(xi(t,y,x,z,q,
r,p,s),q), -diff(xi(t,y,x,z,q,r,p,s),p), diff(diff(beta(t,y,x,z,q,r,p,s),q),q)
, diff(theta(t,y,x,z,q,r,p,s),s)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r*q^2+q^3*diff(
xi(t,y,x,z,q,r,p,s),p)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r*s^2-p^3*diff(xi(t,y,x,z
,q,r,p,s),q)+p^2*q*diff(xi(t,y,x,z,q,r,p,s),p)-diff(xi(t,y,x,z,q,r,p,s),t)-
diff(phi(t,y,x,z,q,r,p,s),r)+2*diff(beta(t,y,x,z,q,r,p,s),z)-p*r^2*diff(xi(t,y
,x,z,q,r,p,s),q)+q*r^2*diff(xi(t,y,x,z,q,r,p,s),p)-2*diff(xi(t,y,x,z,q,r,p,s),
s)*r*p^2-p*s^2*diff(xi(t,y,x,z,q,r,p,s),q)-p*q^2*diff(xi(t,y,x,z,q,r,p,s),q)+q
*s^2*diff(xi(t,y,x,z,q,r,p,s),p)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r^3, -p*r^2*
diff(xi(t,y,x,z,q,r,p,s),q)+diff(theta(t,y,x,z,q,r,p,s),s)-2*diff(xi(t,y,x,z,q
,r,p,s),s)*r^3-2*diff(xi(t,y,x,z,q,r,p,s),s)*r*p^2+q^3*diff(xi(t,y,x,z,q,r,p,s
),p)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r*q^2-p*q^2*diff(xi(t,y,x,z,q,r,p,s),q)+2*
diff(tau(t,y,x,z,q,r,p,s),y)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r*s^2-p*s^2*diff(xi
(t,y,x,z,q,r,p,s),q)+q*r^2*diff(xi(t,y,x,z,q,r,p,s),p)-p^3*diff(xi(t,y,x,z,q,r
,p,s),q)+p^2*q*diff(xi(t,y,x,z,q,r,p,s),p)-diff(phi(t,y,x,z,q,r,p,s),r)+q*s^2*
diff(xi(t,y,x,z,q,r,p,s),p)-diff(xi(t,y,x,z,q,r,p,s),t), -p*s^2*diff(xi(t,y,x,
z,q,r,p,s),q)-diff(phi(t,y,x,z,q,r,p,s),r)+q^3*diff(xi(t,y,x,z,q,r,p,s),p)-p^3
*diff(xi(t,y,x,z,q,r,p,s),q)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r^3-2*diff(xi(t,y,x
,z,q,r,p,s),s)*r*s^2-diff(xi(t,y,x,z,q,r,p,s),t)-p*r^2*diff(xi(t,y,x,z,q,r,p,s
),q)+q*s^2*diff(xi(t,y,x,z,q,r,p,s),p)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r*p^2+p^2
*q*diff(xi(t,y,x,z,q,r,p,s),p)-2*diff(xi(t,y,x,z,q,r,p,s),s)*r*q^2+diff(theta(
t,y,x,z,q,r,p,s),s)+q*r^2*diff(xi(t,y,x,z,q,r,p,s),p)-p*q^2*diff(xi(t,y,x,z,q,
r,p,s),q)+2*diff(alpha(t,y,x,z,q,r,p,s),x), 2*diff(tau(t,y,x,z,q,r,p,s),q), 2*
diff(diff(alpha(t,y,x,z,q,r,p,s),p),z), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),z)
, -diff(diff(xi(t,y,x,z,q,r,p,s),y),y)+diff(xi(t,y,x,z,q,r,p,s),r)*r*p^2-diff(
xi(t,y,x,z,q,r,p,s),s)*s^3-diff(xi(t,y,x,z,q,r,p,s),s)*r^2*s-diff(xi(t,y,x,z,q
,r,p,s),s)*s*p^2+diff(xi(t,y,x,z,q,r,p,s),r)*r*q^2-diff(xi(t,y,x,z,q,r,p,s),s)
*s*q^2-diff(phi(t,y,x,z,q,r,p,s),s)+diff(xi(t,y,x,z,q,r,p,s),r)*r*s^2+diff(xi(
t,y,x,z,q,r,p,s),r)*r^3-diff(theta(t,y,x,z,q,r,p,s),r)-diff(diff(xi(t,y,x,z,q,
r,p,s),z),z)-diff(diff(xi(t,y,x,z,q,r,p,s),x),x), -diff(xi(t,y,x,z,q,r,p,s),p)
*s*q^2+diff(theta(t,y,x,z,q,r,p,s),q)-diff(xi(t,y,x,z,q,r,p,s),p)*s*p^2-diff(
xi(t,y,x,z,q,r,p,s),q)*r^3-diff(xi(t,y,x,z,q,r,p,s),q)*r*s^2-diff(xi(t,y,x,z,q
,r,p,s),q)*r*q^2-diff(xi(t,y,x,z,q,r,p,s),q)*r*p^2-diff(phi(t,y,x,z,q,r,p,s),p
)-diff(xi(t,y,x,z,q,r,p,s),p)*r^2*s-diff(xi(t,y,x,z,q,r,p,s),p)*s^3, -diff(xi(
t,y,x,z,q,r,p,s),p)*s*q^2+diff(theta(t,y,x,z,q,r,p,s),q)-diff(xi(t,y,x,z,q,r,p
,s),p)*s*p^2-diff(xi(t,y,x,z,q,r,p,s),q)*r^3-diff(xi(t,y,x,z,q,r,p,s),q)*r*s^2
-diff(xi(t,y,x,z,q,r,p,s),q)*r*q^2-diff(xi(t,y,x,z,q,r,p,s),q)*r*p^2-diff(phi(
t,y,x,z,q,r,p,s),p)-diff(xi(t,y,x,z,q,r,p,s),p)*r^2*s-diff(xi(t,y,x,z,q,r,p,s)
,p)*s^3, -diff(beta(t,y,x,z,q,r,p,s),t)+s^3*diff(beta(t,y,x,z,q,r,p,s),r)-2*r^
2*diff(xi(t,y,x,z,q,r,p,s),z)-2*diff(diff(xi(t,y,x,z,q,r,p,s),s),z)*s^3-6*s^2*
diff(xi(t,y,x,z,q,r,p,s),z)-p^3*diff(beta(t,y,x,z,q,r,p,s),q)+q^3*diff(beta(t,
y,x,z,q,r,p,s),p)-2*p^2*diff(xi(t,y,x,z,q,r,p,s),z)-2*q^2*diff(xi(t,y,x,z,q,r,
p,s),z)-r^3*diff(beta(t,y,x,z,q,r,p,s),s)-2*diff(diff(phi(t,y,x,z,q,r,p,s),s),
z)-2*diff(diff(xi(t,y,x,z,q,r,p,s),s),z)*r^2*s-r*p^2*diff(beta(t,y,x,z,q,r,p,s
),s)-r*s^2*diff(beta(t,y,x,z,q,r,p,s),s)-p*s^2*diff(beta(t,y,x,z,q,r,p,s),q)-2
*diff(diff(xi(t,y,x,z,q,r,p,s),s),z)*s*q^2-r*q^2*diff(beta(t,y,x,z,q,r,p,s),s)
-2*diff(diff(xi(t,y,x,z,q,r,p,s),s),z)*s*p^2+r^2*s*diff(beta(t,y,x,z,q,r,p,s),
r)+s*p^2*diff(beta(t,y,x,z,q,r,p,s),r)+s*q^2*diff(beta(t,y,x,z,q,r,p,s),r)-p*r
^2*diff(beta(t,y,x,z,q,r,p,s),q)-p*q^2*diff(beta(t,y,x,z,q,r,p,s),q)+p^2*q*
diff(beta(t,y,x,z,q,r,p,s),p)+q*s^2*diff(beta(t,y,x,z,q,r,p,s),p)+q*r^2*diff(
beta(t,y,x,z,q,r,p,s),p), -2*diff(xi(t,y,x,z,q,r,p,s),r), -2*diff(xi(t,y,x,z,q
,r,p,s),q), -2*diff(xi(t,y,x,z,q,r,p,s),s), diff(beta(t,y,x,z,q,r,p,s),r), -2*
diff(xi(t,y,x,z,q,r,p,s),p), -2*diff(xi(t,y,x,z,q,r,p,s),q), -2*diff(xi(t,y,x,
z,q,r,p,s),r), -2*diff(xi(t,y,x,z,q,r,p,s),p), -2*diff(xi(t,y,x,z,q,r,p,s),q),
-2*diff(xi(t,y,x,z,q,r,p,s),s), -2*diff(xi(t,y,x,z,q,r,p,s),p), -2*diff(xi(t,y
,x,z,q,r,p,s),r), -2*diff(xi(t,y,x,z,q,r,p,s),s), -diff(xi(t,y,x,z,q,r,p,s),q)
, -diff(beta(t,y,x,z,q,r,p,s),q), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),q),r), -
diff(diff(xi(t,y,x,z,q,r,p,s),s),s), -diff(diff(xi(t,y,x,z,q,r,p,s),q),q), -
diff(diff(xi(t,y,x,z,q,r,p,s),q),q), -4*diff(xi(t,y,x,z,q,r,p,s),y)*s*q-2*diff
(diff(xi(t,y,x,z,q,r,p,s),q),y)*s*q^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),y)*s*
p^2-2*diff(diff(phi(t,y,x,z,q,r,p,s),q),y)-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),
y)*r^2*s-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),y)*s^3, -diff(xi(t,y,x,z,q,r,p,s),
q), 2*diff(beta(t,y,x,z,q,r,p,s),s), 2*diff(tau(t,y,x,z,q,r,p,s),s), -2*diff(
diff(xi(t,y,x,z,q,r,p,s),q),x), -diff(diff(phi(t,y,x,z,q,r,p,s),r),r)-4*r*s*
diff(xi(t,y,x,z,q,r,p,s),r)+2*diff(diff(tau(t,y,x,z,q,r,p,s),r),y)-diff(diff(
xi(t,y,x,z,q,r,p,s),r),r)*r^2*s-diff(diff(xi(t,y,x,z,q,r,p,s),r),r)*s^3-diff(
diff(xi(t,y,x,z,q,r,p,s),r),r)*s*q^2-diff(diff(xi(t,y,x,z,q,r,p,s),r),r)*s*p^2
, 2*diff(diff(tau(t,y,x,z,q,r,p,s),q),r), 2*diff(alpha(t,y,x,z,q,r,p,s),q), 2*
diff(diff(tau(t,y,x,z,q,r,p,s),p),z), -diff(tau(t,y,x,z,q,r,p,s),s), -diff(
alpha(t,y,x,z,q,r,p,s),s), -diff(diff(xi(t,y,x,z,q,r,p,s),p),p), -diff(diff(xi
(t,y,x,z,q,r,p,s),p),p), -diff(diff(xi(t,y,x,z,q,r,p,s),p),p), -2*diff(diff(xi
(t,y,x,z,q,r,p,s),p),x), 2*diff(beta(t,y,x,z,q,r,p,s),r), -2*diff(xi(t,y,x,z,q
,r,p,s),q), -2*diff(xi(t,y,x,z,q,r,p,s),r), -2*diff(xi(t,y,x,z,q,r,p,s),r), -2
*diff(xi(t,y,x,z,q,r,p,s),r), 3*diff(alpha(t,y,x,z,q,r,p,s),r), 2*diff(tau(t,y
,x,z,q,r,p,s),r), -diff(diff(xi(t,y,x,z,q,r,p,s),s),s), 2*diff(diff(alpha(t,y,
x,z,q,r,p,s),r),s), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),p),r), -diff(xi(t,y,x,z
,q,r,p,s),p), -p*s^4*diff(xi(t,y,x,z,q,r,p,s),q)*r-2*p*r^3*diff(xi(t,y,x,z,q,r
,p,s),q)*s^2-2*p*q^2*diff(xi(t,y,x,z,q,r,p,s),q)*r*s^2-2*p*q^2*diff(xi(t,y,x,z
,q,r,p,s),q)*r^3-p*q^4*diff(xi(t,y,x,z,q,r,p,s),q)*r-2*p^3*diff(xi(t,y,x,z,q,r
,p,s),q)*r*s^2-2*p^3*diff(xi(t,y,x,z,q,r,p,s),q)*r*q^2-2*p^3*diff(xi(t,y,x,z,q
,r,p,s),q)*r^3-diff(diff(xi(t,y,x,z,q,r,p,s),y),y)*s^3-diff(xi(t,y,x,z,q,r,p,s
),t)*r*s^2-diff(xi(t,y,x,z,q,r,p,s),t)*r*p^2-diff(diff(xi(t,y,x,z,q,r,p,s),z),
z)*s^3-p^5*diff(xi(t,y,x,z,q,r,p,s),q)*r+p^3*diff(theta(t,y,x,z,q,r,p,s),q)-p*
r^5*diff(xi(t,y,x,z,q,r,p,s),q)-diff(diff(xi(t,y,x,z,q,r,p,s),y),y)*r^2*s-diff
(diff(phi(t,y,x,z,q,r,p,s),x),x)-diff(diff(xi(t,y,x,z,q,r,p,s),x),x)*r^2*s+2*s
^3*p^2*diff(xi(t,y,x,z,q,r,p,s),r)*r+s*p^4*diff(xi(t,y,x,z,q,r,p,s),r)*r+2*s*p
^2*diff(xi(t,y,x,z,q,r,p,s),r)*r*q^2+2*r^3*s*diff(xi(t,y,x,z,q,r,p,s),r)*q^2+2
*r^3*s*diff(xi(t,y,x,z,q,r,p,s),r)*p^2+r^5*s*diff(xi(t,y,x,z,q,r,p,s),r)+2*r^3
*s^3*diff(xi(t,y,x,z,q,r,p,s),r)+p*q^2*diff(theta(t,y,x,z,q,r,p,s),q)-s*q^2*
diff(theta(t,y,x,z,q,r,p,s),r)-s*p^2*diff(theta(t,y,x,z,q,r,p,s),r)-r^2*s*diff
(theta(t,y,x,z,q,r,p,s),r)+p*s^2*diff(theta(t,y,x,z,q,r,p,s),q)+p*r^2*diff(
theta(t,y,x,z,q,r,p,s),q)-s^3*diff(theta(t,y,x,z,q,r,p,s),r)+2*s^3*q^2*diff(xi
(t,y,x,z,q,r,p,s),r)*r+s*q^4*diff(xi(t,y,x,z,q,r,p,s),r)*r-2*eta(t,y,x,z,q,r,p
,s)*r*q-2*r^4*diff(xi(t,y,x,z,q,r,p,s),s)*s^2-r^2*s^4*diff(xi(t,y,x,z,q,r,p,s)
,s)-2*r^2*q^2*diff(xi(t,y,x,z,q,r,p,s),s)*s^2-r^2*q^4*diff(xi(t,y,x,z,q,r,p,s)
,s)-2*r^2*p^2*diff(xi(t,y,x,z,q,r,p,s),s)*s^2-2*r^2*p^2*diff(xi(t,y,x,z,q,r,p,
s),s)*q^2-r^6*diff(xi(t,y,x,z,q,r,p,s),s)+r^3*diff(theta(t,y,x,z,q,r,p,s),s)-r
^2*p^4*diff(xi(t,y,x,z,q,r,p,s),s)-2*r^4*p^2*diff(xi(t,y,x,z,q,r,p,s),s)-2*r^4
*q^2*diff(xi(t,y,x,z,q,r,p,s),s)+q*r^5*diff(xi(t,y,x,z,q,r,p,s),p)+2*q^3*diff(
xi(t,y,x,z,q,r,p,s),p)*r*s^2-diff(diff(xi(t,y,x,z,q,r,p,s),z),z)*r^2*s+2*p^2*q
*diff(xi(t,y,x,z,q,r,p,s),p)*r*s^2+2*p^2*q*diff(xi(t,y,x,z,q,r,p,s),p)*r^3+2*p
^2*q^3*diff(xi(t,y,x,z,q,r,p,s),p)*r+p^4*q*diff(xi(t,y,x,z,q,r,p,s),p)*r-q^3*
diff(theta(t,y,x,z,q,r,p,s),p)+q^5*diff(xi(t,y,x,z,q,r,p,s),p)*r+2*q^3*diff(xi
(t,y,x,z,q,r,p,s),p)*r^3+r*s^2*diff(theta(t,y,x,z,q,r,p,s),s)-diff(diff(xi(t,y
,x,z,q,r,p,s),z),z)*s*q^2+r*q^2*diff(theta(t,y,x,z,q,r,p,s),s)+r*p^2*diff(
theta(t,y,x,z,q,r,p,s),s)-q*s^2*diff(theta(t,y,x,z,q,r,p,s),p)-q*r^2*diff(
theta(t,y,x,z,q,r,p,s),p)-p^2*q*diff(theta(t,y,x,z,q,r,p,s),p)+q*s^4*diff(xi(t
,y,x,z,q,r,p,s),p)*r+2*q*r^3*diff(xi(t,y,x,z,q,r,p,s),p)*s^2-diff(diff(phi(t,y
,x,z,q,r,p,s),y),y)-3*phi(t,y,x,z,q,r,p,s)*r^2-phi(t,y,x,z,q,r,p,s)*s^2-phi(t,
y,x,z,q,r,p,s)*p^2-phi(t,y,x,z,q,r,p,s)*q^2-diff(xi(t,y,x,z,q,r,p,s),t)*r^3-
diff(xi(t,y,x,z,q,r,p,s),t)*r*q^2-diff(diff(phi(t,y,x,z,q,r,p,s),z),z)-2*theta
(t,y,x,z,q,r,p,s)*r*s-2*psi(t,y,x,z,q,r,p,s)*r*p-diff(diff(xi(t,y,x,z,q,r,p,s)
,x),x)*s*q^2-diff(diff(xi(t,y,x,z,q,r,p,s),x),x)*s*p^2-diff(diff(xi(t,y,x,z,q,
r,p,s),y),y)*s*q^2-diff(diff(xi(t,y,x,z,q,r,p,s),y),y)*s*p^2-diff(diff(xi(t,y,
x,z,q,r,p,s),z),z)*s*p^2+diff(theta(t,y,x,z,q,r,p,s),t)-diff(diff(xi(t,y,x,z,q
,r,p,s),x),x)*s^3+s^5*diff(xi(t,y,x,z,q,r,p,s),r)*r, -2*diff(diff(xi(t,y,x,z,q
,r,p,s),q),x), 2*diff(alpha(t,y,x,z,q,r,p,s),r), 2*diff(alpha(t,y,x,z,q,r,p,s)
,p), 2*diff(alpha(t,y,x,z,q,r,p,s),s), diff(tau(t,y,x,z,q,r,p,s),r), -diff(
diff(xi(t,y,x,z,q,r,p,s),q),q), -diff(diff(xi(t,y,x,z,q,r,p,s),q),q), -2*diff(
diff(xi(t,y,x,z,q,r,p,s),r),x)*s*p^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),x)*s*q
^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),x)*s^3+diff(diff(alpha(t,y,x,z,q,r,p,s),
y),y)-2*diff(diff(phi(t,y,x,z,q,r,p,s),r),x)+diff(diff(alpha(t,y,x,z,q,r,p,s),
z),z)+diff(diff(alpha(t,y,x,z,q,r,p,s),x),x)-4*r*s*diff(xi(t,y,x,z,q,r,p,s),x)
-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),x)*r^2*s, -diff(diff(xi(t,y,x,z,q,r,p,s),r
),r), -diff(diff(xi(t,y,x,z,q,r,p,s),r),r), -diff(diff(xi(t,y,x,z,q,r,p,s),r),
r), 2*diff(diff(beta(t,y,x,z,q,r,p,s),r),x)+2*diff(diff(alpha(t,y,x,z,q,r,p,s)
,r),z), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),r),y)+2*diff(diff(tau(t,y,x,z,q,r,p
,s),r),x), -diff(diff(xi(t,y,x,z,q,r,p,s),s),s), -diff(diff(xi(t,y,x,z,q,r,p,s
),s),s), 2*diff(tau(t,y,x,z,q,r,p,s),q), 2*diff(beta(t,y,x,z,q,r,p,s),q), 2*
diff(alpha(t,y,x,z,q,r,p,s),s), -2*diff(xi(t,y,x,z,q,r,p,s),s), -2*diff(xi(t,y
,x,z,q,r,p,s),q), -2*diff(xi(t,y,x,z,q,r,p,s),r), -2*diff(xi(t,y,x,z,q,r,p,s),
p), -2*diff(xi(t,y,x,z,q,r,p,s),s), -2*diff(xi(t,y,x,z,q,r,p,s),q), -2*diff(xi
(t,y,x,z,q,r,p,s),r), -2*diff(xi(t,y,x,z,q,r,p,s),p), -2*diff(xi(t,y,x,z,q,r,p
,s),q), -diff(diff(xi(t,y,x,z,q,r,p,s),s),s), -diff(xi(t,y,x,z,q,r,p,s),q), -4
*r*s*diff(xi(t,y,x,z,q,r,p,s),z)-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),z)*r^2*s-2
*diff(diff(phi(t,y,x,z,q,r,p,s),r),z)+diff(diff(beta(t,y,x,z,q,r,p,s),x),x)-2*
diff(diff(xi(t,y,x,z,q,r,p,s),r),z)*s*p^2+diff(diff(beta(t,y,x,z,q,r,p,s),y),y
)-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),z)*s^3-2*diff(diff(xi(t,y,x,z,q,r,p,s),r)
,z)*s*q^2+diff(diff(beta(t,y,x,z,q,r,p,s),z),z), -2*diff(xi(t,y,x,z,q,r,p,s),s
), 2*diff(alpha(t,y,x,z,q,r,p,s),r), -diff(diff(phi(t,y,x,z,q,r,p,s),s),s)-
diff(diff(xi(t,y,x,z,q,r,p,s),s),s)*s*q^2-2*p^2*diff(xi(t,y,x,z,q,r,p,s),s)-
diff(diff(xi(t,y,x,z,q,r,p,s),s),s)*s*p^2-diff(diff(xi(t,y,x,z,q,r,p,s),s),s)*
r^2*s-2*r^2*diff(xi(t,y,x,z,q,r,p,s),s)-6*s^2*diff(xi(t,y,x,z,q,r,p,s),s)-diff
(diff(xi(t,y,x,z,q,r,p,s),s),s)*s^3-2*q^2*diff(xi(t,y,x,z,q,r,p,s),s), 2*diff(
alpha(t,y,x,z,q,r,p,s),p), 2*diff(diff(tau(t,y,x,z,q,r,p,s),r),s), 2*diff(tau(
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diff(diff(xi(t,y,x,z,q,r,p,s),r),y)*s*p^2-4*diff(xi(t,y,x,z,q,r,p,s),y)*r*s+
diff(diff(tau(t,y,x,z,q,r,p,s),x),x)-2*diff(diff(phi(t,y,x,z,q,r,p,s),r),y)-2*
diff(diff(xi(t,y,x,z,q,r,p,s),r),y)*r^2*s-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),y
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*diff(xi(t,y,x,z,q,r,p,s),p), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),x), -diff(
diff(xi(t,y,x,z,q,r,p,s),q),q), 2*diff(diff(beta(t,y,x,z,q,r,p,s),q),r), 2*
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z,q,r,p,s),q),x)*s*q^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),x)*s*p^2-2*diff(diff
(xi(t,y,x,z,q,r,p,s),q),x)*r^2*s, 2*diff(diff(tau(t,y,x,z,q,r,p,s),q),x), -
diff(diff(xi(t,y,x,z,q,r,p,s),q),q)*s^3-4*s*q*diff(xi(t,y,x,z,q,r,p,s),q)-diff
(diff(xi(t,y,x,z,q,r,p,s),q),q)*r^2*s-diff(diff(phi(t,y,x,z,q,r,p,s),q),q)-
diff(diff(xi(t,y,x,z,q,r,p,s),q),q)*s*q^2-diff(diff(xi(t,y,x,z,q,r,p,s),q),q)*
s*p^2, -diff(xi(t,y,x,z,q,r,p,s),q), diff(diff(tau(t,y,x,z,q,r,p,s),p),p), 2*
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2*diff(diff(alpha(t,y,x,z,q,r,p,s),q),y), 2*diff(diff(beta(t,y,x,z,q,r,p,s),s)
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s),x), -diff(xi(t,y,x,z,q,r,p,s),q), -diff(diff(xi(t,y,x,z,q,r,p,s),p),p)*s*q^
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diff(diff(xi(t,y,x,z,q,r,p,s),r),r)*s*q^2-diff(diff(xi(t,y,x,z,q,r,p,s),r),r)*
r^2*s-diff(diff(phi(t,y,x,z,q,r,p,s),r),r)-diff(diff(xi(t,y,x,z,q,r,p,s),r),r)
*s*p^2-diff(diff(xi(t,y,x,z,q,r,p,s),r),r)*s^3, -diff(diff(xi(t,y,x,z,q,r,p,s)
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r,p,s),p),p)*s^3-diff(diff(xi(t,y,x,z,q,r,p,s),p),p)*r^2*s-diff(diff(phi(t,y,x
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-diff(xi(t,y,x,z,q,r,p,s),p), diff(diff(tau(t,y,x,z,q,r,p,s),r),r), 3*diff(
beta(t,y,x,z,q,r,p,s),r), diff(diff(beta(t,y,x,z,q,r,p,s),r),r), -2*p^2*diff(
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,r),s)*s^3+2*diff(diff(alpha(t,y,x,z,q,r,p,s),s),x)-2*diff(diff(xi(t,y,x,z,q,r
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z,q,r,p,s),r),s)*s*p^2, 2*diff(diff(tau(t,y,x,z,q,r,p,s),p),r), 2*diff(diff(
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beta(t,y,x,z,q,r,p,s),p), -diff(diff(xi(t,y,x,z,q,r,p,s),p),p), 2*diff(diff(
beta(t,y,x,z,q,r,p,s),r),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r), -2*diff(
diff(xi(t,y,x,z,q,r,p,s),p),r)*s*p^2-2*diff(diff(phi(t,y,x,z,q,r,p,s),p),r)+2*
diff(diff(alpha(t,y,x,z,q,r,p,s),p),x)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r)*r
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^3-4*diff(xi(t,y,x,z,q,r,p,s),r)*s*p-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r)*s*q
^2, 2*diff(diff(tau(t,y,x,z,q,r,p,s),q),r), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p
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4*s*q*diff(xi(t,y,x,z,q,r,p,s),q)-diff(diff(xi(t,y,x,z,q,r,p,s),q),q)*r^2*s-
diff(diff(phi(t,y,x,z,q,r,p,s),q),q)-diff(diff(xi(t,y,x,z,q,r,p,s),q),q)*s*q^2
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s),z)-6*s^2*diff(xi(t,y,x,z,q,r,p,s),r)-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),s)*
s^3-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),s)*r^2*s-2*diff(diff(xi(t,y,x,z,q,r,p,s
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s)*s*q^2-2*diff(xi(t,y,x,z,q,r,p,s),r)*q^2-2*diff(xi(t,y,x,z,q,r,p,s),r)*r^2,
-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),s)*r^2*s-4*s*p*diff(xi(t,y,x,z,q,r,p,s),s)
-2*diff(xi(t,y,x,z,q,r,p,s),p)*r^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),s)*s*q^2
-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),s)*s*p^2-2*q^2*diff(xi(t,y,x,z,q,r,p,s),p)
-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),s)*s^3-2*diff(diff(phi(t,y,x,z,q,r,p,s),p)
,s)-6*s^2*diff(xi(t,y,x,z,q,r,p,s),p)-2*p^2*diff(xi(t,y,x,z,q,r,p,s),p), 2*
diff(diff(tau(t,y,x,z,q,r,p,s),p),s), 2*diff(diff(tau(t,y,x,z,q,r,p,s),r),s),
-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),s), 2*diff(tau(t,y,x,z,q,r,p,s),s), -2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s^3-2*q^2*diff(xi(t,y,x,z,q,r,p,s),q)-2*p^
2*diff(xi(t,y,x,z,q,r,p,s),q)-2*r^2*diff(xi(t,y,x,z,q,r,p,s),q)-2*diff(diff(xi
(t,y,x,z,q,r,p,s),q),s)*r^2*s-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s*q^2-2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s*p^2-6*s^2*diff(xi(t,y,x,z,q,r,p,s),q)-4*
s*q*diff(xi(t,y,x,z,q,r,p,s),s)-2*diff(diff(phi(t,y,x,z,q,r,p,s),q),s), -4*s*p
*diff(xi(t,y,x,z,q,r,p,s),q)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*r^2*s-4*
diff(xi(t,y,x,z,q,r,p,s),p)*s*q-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*s*p^2-2*
diff(diff(phi(t,y,x,z,q,r,p,s),p),q)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*s*q
^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*s^3, -2*diff(diff(xi(t,y,x,z,q,r,p,s)
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^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),s)*s*q^2-2*diff(diff(xi(t,y,x,z,q,r,p,s)
,p),s)*s*p^2-2*q^2*diff(xi(t,y,x,z,q,r,p,s),p)-2*diff(diff(xi(t,y,x,z,q,r,p,s)
,p),s)*s^3-2*diff(diff(phi(t,y,x,z,q,r,p,s),p),s)-6*s^2*diff(xi(t,y,x,z,q,r,p,
s),p)-2*p^2*diff(xi(t,y,x,z,q,r,p,s),p), -4*s*p*diff(xi(t,y,x,z,q,r,p,s),q)-2*
diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*r^2*s-4*diff(xi(t,y,x,z,q,r,p,s),p)*s*q-2*
diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*s*p^2-2*diff(diff(phi(t,y,x,z,q,r,p,s),p),
q)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*s*q^2-2*diff(diff(xi(t,y,x,z,q,r,p,s)
,p),q)*s^3, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r)*s*p^2-4*diff(xi(t,y,x,z,q,r
,p,s),r)*s*p-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r)*s*q^2-2*diff(diff(xi(t,y,x,
z,q,r,p,s),p),r)*s^3+2*diff(diff(beta(t,y,x,z,q,r,p,s),p),z)-4*r*s*diff(xi(t,y
,x,z,q,r,p,s),p)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r)*r^2*s-2*diff(diff(phi(t
,y,x,z,q,r,p,s),p),r), -4*s*q*diff(xi(t,y,x,z,q,r,p,s),r)-2*diff(diff(xi(t,y,x
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diff(xi(t,y,x,z,q,r,p,s),q),r)*s^3-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r)*r^2*s
+2*diff(diff(beta(t,y,x,z,q,r,p,s),q),z)-4*r*s*diff(xi(t,y,x,z,q,r,p,s),q)-2*
diff(diff(phi(t,y,x,z,q,r,p,s),q),r), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s
^3-2*q^2*diff(xi(t,y,x,z,q,r,p,s),q)-2*p^2*diff(xi(t,y,x,z,q,r,p,s),q)-2*r^2*
diff(xi(t,y,x,z,q,r,p,s),q)-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*r^2*s-2*diff
(diff(xi(t,y,x,z,q,r,p,s),q),s)*s*q^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s*
p^2-6*s^2*diff(xi(t,y,x,z,q,r,p,s),q)-4*s*q*diff(xi(t,y,x,z,q,r,p,s),s)-2*diff
(diff(phi(t,y,x,z,q,r,p,s),q),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),s), -
diff(diff(xi(t,y,x,z,q,r,p,s),r),r), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),r),s),
-2*diff(diff(xi(t,y,x,z,q,r,p,s),r),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),r),s)
, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),p
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,r), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r), 2*diff(diff(tau(t,y,x,z,q,r,p,s),
p),q), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q), -2*diff(diff(xi(t,y,x,z,q,r,p,s
),p),s), -diff(diff(xi(t,y,x,z,q,r,p,s),p),p)*s*q^2-diff(diff(xi(t,y,x,z,q,r,p
,s),p),p)*s*p^2-diff(diff(xi(t,y,x,z,q,r,p,s),p),p)*s^3-diff(diff(xi(t,y,x,z,q
,r,p,s),p),p)*r^2*s-diff(diff(phi(t,y,x,z,q,r,p,s),p),p)-4*diff(xi(t,y,x,z,q,r
,p,s),p)*s*p, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q), -2*diff(diff(xi(t,y,x,z,
q,r,p,s),p),q), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),p),q), 2*diff(diff(beta(t,y
,x,z,q,r,p,s),p),r), -2*diff(diff(xi(t,y,x,z,q,r,p,s),r),s), -2*diff(diff(xi(t
,y,x,z,q,r,p,s),p),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),r),s), 2*diff(diff(
beta(t,y,x,z,q,r,p,s),p),s), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),p),s), 2*diff(
diff(tau(t,y,x,z,q,r,p,s),q),r), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s), 2*
diff(diff(tau(t,y,x,z,q,r,p,s),q),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r),
-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q), 2*diff(diff(tau(t,y,x,z,q,r,p,s),p),q)
, 2*diff(diff(alpha(t,y,x,z,q,r,p,s),p),q), 2*diff(diff(beta(t,y,x,z,q,r,p,s),
p),q), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),q),r), -2*diff(diff(xi(t,y,x,z,q,r,p
,s),r),s), -diff(diff(xi(t,y,x,z,q,r,p,s),q),q), -diff(beta(t,y,x,z,q,r,p,s),q
), 2*diff(diff(tau(t,y,x,z,q,r,p,s),p),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p)
,s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),s), -diff(diff(phi(t,y,x,z,q,r,p,s),s
),s)-diff(diff(xi(t,y,x,z,q,r,p,s),s),s)*s*q^2-2*p^2*diff(xi(t,y,x,z,q,r,p,s),
s)-diff(diff(xi(t,y,x,z,q,r,p,s),s),s)*s*p^2-diff(diff(xi(t,y,x,z,q,r,p,s),s),
s)*r^2*s-2*r^2*diff(xi(t,y,x,z,q,r,p,s),s)-6*s^2*diff(xi(t,y,x,z,q,r,p,s),s)-
diff(diff(xi(t,y,x,z,q,r,p,s),s),s)*s^3-2*q^2*diff(xi(t,y,x,z,q,r,p,s),s), -2*
diff(diff(xi(t,y,x,z,q,r,p,s),p),s), 2*diff(diff(alpha(t,y,x,z,q,r,p,s),p),s),
-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r), 2*diff(diff(tau(t,y,x,z,q,r,p,s),p),r)
, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r), -diff(xi(t,y,x,z,q,r,p,s),q), -2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s^3-2*q^2*diff(xi(t,y,x,z,q,r,p,s),q)-2*p^
2*diff(xi(t,y,x,z,q,r,p,s),q)-2*r^2*diff(xi(t,y,x,z,q,r,p,s),q)-2*diff(diff(xi
(t,y,x,z,q,r,p,s),q),s)*r^2*s-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s*q^2-2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),s)*s*p^2-6*s^2*diff(xi(t,y,x,z,q,r,p,s),q)-4*
s*q*diff(xi(t,y,x,z,q,r,p,s),s)-2*diff(diff(phi(t,y,x,z,q,r,p,s),q),s), -2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q), -\
2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r),
-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s), -diff(xi(t,y,x,z,q,r,p,s),q), -2*diff(
diff(xi(t,y,x,z,q,r,p,s),p),q), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s), -2*
diff(diff(xi(t,y,x,z,q,r,p,s),q),s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q), -\
2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s), 2*diff(diff(beta(t,y,x,z,q,r,p,s),q),s)
, 2*diff(diff(beta(t,y,x,z,q,r,p,s),q),s), 2*diff(diff(tau(t,y,x,z,q,r,p,s),q)
,s), -diff(xi(t,y,x,z,q,r,p,s),q), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s), 2*
diff(diff(alpha(t,y,x,z,q,r,p,s),q),s), 2*diff(diff(beta(t,y,x,z,q,r,p,s),p),s
), 2*diff(diff(tau(t,y,x,z,q,r,p,s),r),s), 2*diff(diff(tau(t,y,x,z,q,r,p,s),q)
,s), -2*diff(diff(xi(t,y,x,z,q,r,p,s),q),s), 2*diff(diff(alpha(t,y,x,z,q,r,p,s
),p),q), -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q), -2*diff(diff(phi(t,y,x,z,q,r,
p,s),q),r)-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r)*s*p^2-4*s*q*diff(xi(t,y,x,z,q
,r,p,s),r)-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r)*r^2*s-4*r*s*diff(xi(t,y,x,z,q
,r,p,s),q)+2*diff(diff(tau(t,y,x,z,q,r,p,s),q),y)-2*diff(diff(xi(t,y,x,z,q,r,p
,s),q),r)*s*q^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),q),r)*s^3, -4*s*p*diff(xi(t,y,
x,z,q,r,p,s),q)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*r^2*s-4*diff(xi(t,y,x,z,
q,r,p,s),p)*s*q-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*s*p^2-2*diff(diff(phi(t,
y,x,z,q,r,p,s),p),q)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),q)*s*q^2-2*diff(diff(
xi(t,y,x,z,q,r,p,s),p),q)*s^3, -2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r)*s*q^2-2*
diff(diff(xi(t,y,x,z,q,r,p,s),p),r)*s*p^2-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r
)*r^2*s-2*diff(diff(phi(t,y,x,z,q,r,p,s),p),r)-4*diff(xi(t,y,x,z,q,r,p,s),r)*s
*p+2*diff(diff(tau(t,y,x,z,q,r,p,s),p),y)-2*diff(diff(xi(t,y,x,z,q,r,p,s),p),r
)*s^3-4*r*s*d