5 2 2 5 2 5 2 2
----*a3 *a9 *b23 - ---*a3*a4*a9 *b23 + ---*a4 *a9 *b23
54 6 9
b40=--------------------------------------------------------
4
a8
25 2 2 5 2 5 2 2
-----*a3 *a9 *b23 - ---*a3*a4*a9 *b23 + ----*a4 *a9 *b23
108 9 36
b39=----------------------------------------------------------
4
a8
5 2 10 2
---*a3*a9 *b23 - ----*a4*a9 *b23
9 9
b38=----------------------------------
3
a8
10 2 5 2
----*a3*a9 *b23 - ---*a4*a9 *b23
9 9
b37=----------------------------------
3
a8
5 2 5 2
---*a3*a9 *b23 - ---*a4*a9 *b23
9 9
b36=---------------------------------
3
a8
10
- ----*a4*a9*b23
9
b35=-------------------
2
a8
5 10
---*a3*a9*b23 - ----*a4*a9*b23
9 3
b34=--------------------------------
2
a8
5 25
---*a3*a9*b23 - ----*a4*a9*b23
3 9
b33=--------------------------------
2
a8
10 25
----*a3*a9*b23 - ----*a4*a9*b23
9 9
b32=---------------------------------
2
a8
5 10
---*a3*a9*b23 - ----*a4*a9*b23
3 3
b31=--------------------------------
2
a8
5 5
---*a3*a9*b23 - ---*a4*a9*b23
6 6
b30=-------------------------------
2
a8
5 2
---*a9 *b23
9
b29=-------------
2
a8
10 2
----*a9 *b23
9
b28=--------------
2
a8
5
---*a9*b23
3
b27=------------
a8
10
----*a9*b23
3
b26=-------------
a8
25
----*a9*b23
9
b25=-------------
a8
10
----*a9*b23
9
b24=-------------
a8
b22
5 3 2 5 2 2 5 2 2 5 3 2
----*a3 *a9 *b23 - ----*a3 *a4*a9 *b23 - ---*a3*a4 *a9 *b23 + ---*a4 *a9 *b23
54 54 6 6
=-------------------------------------------------------------------------------
5
a8
20 2 2 20 2 2
----*a3 *a9 *b23 - ----*a4 *a9 *b23
27 9
b21=-------------------------------------
4
a8
5 2 2 5 2 25 2 2
-----*a3 *a9 *b23 + ----*a3*a4*a9 *b23 - ----*a4 *a9 *b23
108 18 36
b20=-----------------------------------------------------------
4
a8
5 2 25 20 2
---*a3 *a9*b23 + ----*a3*a4*a9*b23 - ----*a4 *a9*b23
9 9 3
b19=------------------------------------------------------
3
a8
5 2 5 20 2
----*a3 *a9*b23 + ---*a3*a4*a9*b23 - ----*a4 *a9*b23
27 9 9
b18=------------------------------------------------------
3
a8
10 2 10 2
----*a3 *a9*b23 - ----*a4 *a9*b23
9 3
b17=-----------------------------------
3
a8
5 2 25 2
---*a3 *a9*b23 - ----*a4 *a9*b23
6 6
b16=----------------------------------
3
a8
10 2 10 2
----*a3*a9 *b23 + ----*a4*a9 *b23
9 9
b15=-----------------------------------
3
a8
5 2 5 2
---*a3*a9 *b23 + ---*a4*a9 *b23
9 3
b14=---------------------------------
3
a8
10 20
----*a3*a9*b23 + ----*a4*a9*b23
9 9
b13=---------------------------------
2
a8
25 5
----*a3*a9*b23 + ---*a4*a9*b23
9 3
b12=--------------------------------
2
a8
5 35
---*a3*a9*b23 + ----*a4*a9*b23
9 9
b11=--------------------------------
2
a8
10 5
----*a3*a9*b23 + ---*a4*a9*b23
9 9
b10=--------------------------------
2
a8
10
----*a4*a9*b23
3
b9=----------------
2
a8
5 25
- ----*a3*a9*b23 + ----*a4*a9*b23
18 18
b8=------------------------------------
2
a8
10
----*a4*b23
9
b7=-------------
a8
10 5
----*a3*b23 + ---*a4*b23
9 9
b6=--------------------------
a8
5 10
---*a3*b23 + ----*a4*b23
3 9
b5=--------------------------
a8
5 2
- ---*a9 *b23
9
b4=----------------
2
a8
5
- ---*a9*b23
9
b3=---------------
a8
5
- ---*a9*b23
9
b2=---------------
a8
1
b1= - ---*b23
9
- a4*a9
a12=----------
a8
1 1
---*a3*a9 - ---*a4*a9
2 2
a11=-----------------------
a8
a10=a9
1 2 3 2
---*a3 *a9 - ---*a4 *a9
6 2
a7=-------------------------
2
a8
a3*a9 + a4*a9
a6=---------------
a8
a4*a9
a5=-------
a8
a2=0
a1=0
b23,a4,a3,a9,a8
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
2 2
df(u,t)=(u *f(v,v)*a4*a8*a9 + f(v ,v )*a3*a8 + f(v,v )*a4*a8
x x 2x 3x
1 2 3 2
+ ---*f(v,v )*f(v,v)*a3 *a9 - ---*f(v,v )*f(v,v)*a4 *a9
6 x 2 x
2
+ f(v,v )*a3*a8*a9*u + f(v,v )*a4*a8*a9*u)/a8
x x
2 1 1
df(v,t)=(u *a8*a9*v + v *a8 + ---*v *f(v,v)*a3*a9 - ---*v *f(v,v)*a4*a9
x 3x 2 x 2 x
+ v *a8*a9*u - f(v,v )*a4*a9*v)/a8
x x
1 5 5 3
df(u,s)=( - ---*u *a8 *b23 - ----*u *f(v,v)*a3*a8 *a9*b23
9 5x 18 3x
25 3 5 4
+ ----*u *f(v,v)*a4*a8 *a9*b23 - ---*u *a8 *a9*b23*u
18 3x 9 3x
5 4 10 3
- ---*u *u *a8 *a9*b23 + ----*u *f(v,v )*a4*a8 *a9*b23
9 2x x 3 2x x
10 3 5 3
+ ----*u *f(v ,v )*a3*a8 *a9*b23 + ---*u *f(v ,v )*a4*a8 *a9*b23
9 x x x 9 x x x
5 3 35 3
+ ---*u *f(v,v )*a3*a8 *a9*b23 + ----*u *f(v,v )*a4*a8 *a9*b23
9 x 2x 9 x 2x
5 2 2 2 5 2 2
+ -----*u *f(v,v) *a3 *a8*a9 *b23 + ----*u *f(v,v) *a3*a4*a8*a9 *b23
108 x 18 x
25 2 2 2 5 2 2
- ----*u *f(v,v) *a4 *a8*a9 *b23 + ---*u *f(v,v)*a3*a8 *a9 *b23*u
36 x 9 x
5 2 2 5 3 2 2
+ ---*u *f(v,v)*a4*a8 *a9 *b23*u - ---*u *a8 *a9 *b23*u
3 x 9 x
5 4 10 4
+ ---*f(v ,v )*a3*a8 *b23 + ----*f(v ,v )*a4*a8 *b23
3 2x 3x 9 2x 3x
10 4 5 4
+ ----*f(v ,v )*a3*a8 *b23 + ---*f(v ,v )*a4*a8 *b23
9 x 4x 9 x 4x
5 2 2
+ ---*f(v ,v )*f(v,v)*a3 *a8 *a9*b23
6 x 2x
25 2 2
- ----*f(v ,v )*f(v,v)*a4 *a8 *a9*b23
6 x 2x
25 3 5 3
+ ----*f(v ,v )*a3*a8 *a9*b23*u + ---*f(v ,v )*a4*a8 *a9*b23*u
9 x 2x 3 x 2x
10 2 2
+ ----*f(v ,v )*f(v,v )*a3 *a8 *a9*b23
9 x x x
10 2 2 10 4
- ----*f(v ,v )*f(v,v )*a4 *a8 *a9*b23 + ----*f(v,v )*a4*a8 *b23
3 x x x 9 5x
5 2 2
+ ----*f(v,v )*f(v,v)*a3 *a8 *a9*b23
27 3x
5 2
+ ---*f(v,v )*f(v,v)*a3*a4*a8 *a9*b23
9 3x
20 2 2 10 3
- ----*f(v,v )*f(v,v)*a4 *a8 *a9*b23 + ----*f(v,v )*a3*a8 *a9*b23*u
9 3x 9 3x
20 3 5 2 2
+ ----*f(v,v )*a4*a8 *a9*b23*u + ---*f(v,v )*f(v,v )*a3 *a8 *a9*b23
9 3x 9 2x x
25 2
+ ----*f(v,v )*f(v,v )*a3*a4*a8 *a9*b23
9 2x x
20 2 2
- ----*f(v,v )*f(v,v )*a4 *a8 *a9*b23
3 2x x
5 2 3 2
+ ----*f(v,v )*f(v,v) *a3 *a9 *b23
54 x
5 2 2 2
- ----*f(v,v )*f(v,v) *a3 *a4*a9 *b23
54 x
5 2 2 2 5 2 3 2
- ---*f(v,v )*f(v,v) *a3*a4 *a9 *b23 + ---*f(v,v )*f(v,v) *a4 *a9 *b23
6 x 6 x
20 2 2
+ ----*f(v,v )*f(v,v)*a3 *a8*a9 *b23*u
27 x
20 2 2
- ----*f(v,v )*f(v,v)*a4 *a8*a9 *b23*u
9 x
10 2 2 2 10 2 2 2 5
+ ----*f(v,v )*a3*a8 *a9 *b23*u + ----*f(v,v )*a4*a8 *a9 *b23*u )/a8
9 x 9 x
10 3 25 3 10 3
df(v,s)=(----*u *a8 *a9*b23*v + ----*u *v *a8 *a9*b23 + ----*u *v *a8 *a9*b23
9 3x 9 2x x 3 x 2x
5 2 5 2
+ ---*u *f(v,v)*a3*a8*a9 *b23*v - ---*u *f(v,v)*a4*a8*a9 *b23*v
9 x 9 x
10 2 2 4 5 2
+ ----*u *a8 *a9 *b23*u*v + v *a8 *b23 + ---*v *f(v,v)*a3*a8 *a9*b23
9 x 5x 6 3x
5 2 5 3
- ---*v *f(v,v)*a4*a8 *a9*b23 + ---*v *a8 *a9*b23*u
6 3x 3 3x
5 2 10 2
+ ---*v *f(v,v )*a3*a8 *a9*b23 - ----*v *f(v,v )*a4*a8 *a9*b23
3 2x x 3 2x x
10 2 25 2
+ ----*v *f(v ,v )*a3*a8 *a9*b23 - ----*v *f(v ,v )*a4*a8 *a9*b23
9 x x x 9 x x x
5 2 25 2
+ ---*v *f(v,v )*a3*a8 *a9*b23 - ----*v *f(v,v )*a4*a8 *a9*b23
3 x 2x 9 x 2x
25 2 2 2 5 2 2
+ -----*v *f(v,v) *a3 *a9 *b23 - ---*v *f(v,v) *a3*a4*a9 *b23
108 x 9 x
5 2 2 2 10 2
+ ----*v *f(v,v) *a4 *a9 *b23 + ----*v *f(v,v)*a3*a8*a9 *b23*u
36 x 9 x
5 2 5 2 2 2
- ---*v *f(v,v)*a4*a8*a9 *b23*u + ---*v *a8 *a9 *b23*u
9 x 9 x
5 2 10 2
+ ---*f(v ,v )*a3*a8 *a9*b23*v - ----*f(v ,v )*a4*a8 *a9*b23*v
9 x 2x 3 x 2x
10 2 5 2 2
- ----*f(v,v )*a4*a8 *a9*b23*v + ----*f(v,v )*f(v,v)*a3 *a9 *b23*v
9 3x 54 x
5 2
- ---*f(v,v )*f(v,v)*a3*a4*a9 *b23*v
6 x
5 2 2 5 2
+ ---*f(v,v )*f(v,v)*a4 *a9 *b23*v + ---*f(v,v )*a3*a8*a9 *b23*u*v
9 x 9 x
10 2 4
- ----*f(v,v )*a4*a8*a9 *b23*u*v)/a8
9 x