1 3 3 1 2 3
- ---*a13 *a4 *b24 + ----*a13*a2 *a4 *b1
8 32
b42=-------------------------------------------
6
a1
3 3 2 3 2 2
- ---*a13 *a4 *b24 + ----*a13*a2 *a4 *b1
4 16
b41=-------------------------------------------
5
a1
3 2 2 3 2
---*a13 *a4 *b24 + ---*a13*a2*a4 *b1
2 4
b40=--------------------------------------
4
a1
3 2 2
---*a13 *a4 *b24
4
b39=------------------
4
a1
3 3 3 2
- ---*a13 *a4*b24 + ---*a13*a2 *a4*b1
2 8
b38=----------------------------------------
4
a1
2 3
3*a13 *a4*b24 + ---*a13*a2*a4*b1
2
b37=----------------------------------
3
a1
2
3*a13 *a4*b24
b36=---------------
3
a1
3 2 3
---*a13 *a4*b24 + ---*a13*a2*a4*b1
2 4
b35=------------------------------------
3
a1
a13*a4*b1 - a13*a4*b24
b34=------------------------
2
a1
a13*a4*b1 - a13*a4*b24
b33=------------------------
2
a1
- 3*a13*a4*b24
b32=-----------------
2
a1
3
- ---*a13*a4*b24
2
b31=-------------------
2
a1
3 1 2
- a13 *b24 + ---*a13*a2 *b1
4
b30=------------------------------
3
a1
2
3*a13 *b24
b29=------------
2
a1
2 3
3*a13 *b24 + ---*a13*a2*b1
2
b28=----------------------------
2
a1
- 3*a13*b24
b27=--------------
a1
- 3*a13*b24
b26=--------------
a1
a13*b1 - a13*b24
b25=------------------
a1
1 3 4 1 2 4
---*a13 *a4 *b24 - ----*a13*a2 *a4 *b1
8 32
b23=----------------------------------------
7
a1
3 3 3 3 2 3
---*a13 *a4 *b24 - ----*a13*a2 *a4 *b1
4 16
b22=----------------------------------------
6
a1
9 2 3 3 3 3 2 3
- ---*a13 *a4 *b24 - ---*a13*a2*a4 *b1 + ----*a2 *a4 *b1
4 4 16
b21=-----------------------------------------------------------
5
a1
3 3 2 3 2 2
---*a13 *a4 *b24 - ---*a13*a2 *a4 *b1
2 8
b20=---------------------------------------
5
a1
2 2 3 2 3 2 2
- 6*a13 *a4 *b24 - ---*a13*a2*a4 *b1 + ---*a2 *a4 *b1
2 4
b19=--------------------------------------------------------
4
a1
3 2 2 3 2 3 2 2
- ---*a13 *a4 *b24 - ---*a13*a2*a4 *b1 + ----*a2 *a4 *b1
2 4 16
b18=-----------------------------------------------------------
4
a1
2 3 2
3*a13*a4 *b24 + ---*a2*a4 *b1
2
b17=-------------------------------
3
a1
2 5 2 3 2
- a13*a4 *b1 + ---*a13*a4 *b24 + ---*a2*a4 *b1
2 4
b16=-------------------------------------------------
3
a1
2 2 3 2
- a13*a4 *b1 + a13*a4 *b24 + ---*a2*a4 *b1
4
b15=---------------------------------------------
3
a1
3 1 2
a13 *a4*b24 - ---*a13*a2 *a4*b1
4
b14=---------------------------------
4
a1
2 3 2
- 3*a13 *a4*b24 + ---*a2 *a4*b1
4
b13=----------------------------------
3
a1
2 3 3 2
- 3*a13 *a4*b24 - ---*a13*a2*a4*b1 + ---*a2 *a4*b1
2 4
b12=-----------------------------------------------------
3
a1
3
3*a13*a4*b24 + ---*a2*a4*b1
2
b11=-----------------------------
2
a1
3
---*a2*a4*b1
2
b10=--------------
2
a1
3*a13*a4*b24 + 3*a2*a4*b1
b9=---------------------------
2
a1
3
- a13*a4*b1 + a13*a4*b24 + ---*a2*a4*b1
4
b8=------------------------------------------
2
a1
a4*b1 - a4*b24
b7=----------------
a1
3*a4*b1
b6=---------
a1
b5=0
3 2
---*a2 *b1
4
b4=------------
2
a1
3
---*a2*b1
2
b3=-----------
a1
3
---*a2*b1
2
b2=-----------
a1
1 2
---*a13*a2*a4
8
a19=----------------
3
a1
1
---*a13*a2*a4
2
a18=---------------
2
a1
a13*a4
a17=--------
a1
a16=0
1
---*a13*a2
2
a15=------------
a1
a14=0
a12=0
1 3
- ---*a13*a2*a4
8
a11=-------------------
4
a1
1 2
- ---*a13*a2*a4
2
a10=-------------------
3
a1
2 1 2
- a13*a4 + ---*a2*a4
2
a9=-------------------------
2
a1
1
- ---*a13*a2*a4
2
a8=------------------
2
a1
a2*a4
a7=-------
a1
1
- a13*a4 + ---*a2*a4
2
a6=-----------------------
a1
a5=a4
a3=0
b24,b1,a4,a2,a13,a1
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
5 3 1 3 4
df(u,t)=(u *a1 - u *f(v,v)*a1 *a13*a4 + ---*u *f(v,v)*a1 *a2*a4 + u *a1 *a2*u
2x x 2 x x
4 4 2 2
+ f(v ,v )*a1 *a4 + f(v,v )*a1 *a4 - f(v,v )*f(v,v)*a1 *a13*a4
x x 2x x
1 2 2 3
+ ---*f(v,v )*f(v,v)*a1 *a2*a4 + f(v,v )*a1 *a2*a4*u
2 x x
1 3 3 1 2 2
- ---*f(v,v) *a13*a2*a4 - ---*f(v,v) *a1*a13*a2*a4 *u
8 2
1 2 2 4
- ---*f(v,v)*a1 *a13*a2*a4*u )/a1
2
3 2 1 2 2
df(v,t)=(u *a1 *a13*v + f(v,v )*a1 *a13*a4*v + ---*f(v,v) *a13*a2*a4 *v
x x 8
1 1 2 2 3
+ ---*f(v,v)*a1*a13*a2*a4*u*v + ---*a1 *a13*a2*u *v)/a1
2 2
7 5 5
df(u,s)=(u *a1 *b1 - u *f(v,v)*a1 *a13*a4*b1 + u *f(v,v)*a1 *a13*a4*b24
3x 2x 2x
3 5 3 6
+ ---*u *f(v,v)*a1 *a2*a4*b1 + ---*u *a1 *a2*b1*u
4 2x 2 2x
3 2 6 5
+ ---*u *a1 *a2*b1 + 3*u *f(v,v )*a1 *a13*a4*b24
2 x x x
5 3 2 3 2 2
+ 3*u *f(v,v )*a1 *a2*a4*b1 - ---*u *f(v,v) *a1 *a13 *a4 *b24
x x 2 x
3 2 3 2 3 2 3 2 2
- ---*u *f(v,v) *a1 *a13*a2*a4 *b1 + ----*u *f(v,v) *a1 *a2 *a4 *b1
4 x 16 x
4 2 3 4
- 3*u *f(v,v)*a1 *a13 *a4*b24*u - ---*u *f(v,v)*a1 *a13*a2*a4*b1*u
x 2 x
3 4 2 3 5 2 2
+ ---*u *f(v,v)*a1 *a2 *a4*b1*u + ---*u *a1 *a2 *b1*u
4 x 4 x
6 4 2
+ 3*f(v ,v )*a1 *a4*b1 - f(v ,v )*f(v,v)*a1 *a13*a4 *b1
x 2x x x
4 2 3 4 2
+ f(v ,v )*f(v,v)*a1 *a13*a4 *b24 + ---*f(v ,v )*f(v,v)*a1 *a2*a4 *b1
x x 4 x x
3 5 6
+ ---*f(v ,v )*a1 *a2*a4*b1*u + f(v,v )*a1 *a4*b1
2 x x 3x
6 4 2
- f(v,v )*a1 *a4*b24 - f(v,v )*f(v,v)*a1 *a13*a4 *b1
3x 2x
5 4 2
+ ---*f(v,v )*f(v,v)*a1 *a13*a4 *b24
2 2x
3 4 2 5
+ ---*f(v,v )*f(v,v)*a1 *a2*a4 *b1 + 3*f(v,v )*a1 *a13*a4*b24*u
4 2x 2x
3 5 2 4 2
+ ---*f(v,v )*a1 *a2*a4*b1*u + 3*f(v,v ) *a1 *a13*a4 *b24
2 2x x
3 2 4 2 9 2 2 2 3
+ ---*f(v,v ) *a1 *a2*a4 *b1 - ---*f(v,v )*f(v,v) *a1 *a13 *a4 *b24
2 x 4 x
3 2 2 3
- ---*f(v,v )*f(v,v) *a1 *a13*a2*a4 *b1
4 x
3 2 2 2 3
+ ----*f(v,v )*f(v,v) *a1 *a2 *a4 *b1
16 x
3 2 2
- 6*f(v,v )*f(v,v)*a1 *a13 *a4 *b24*u
x
3 3 2
- ---*f(v,v )*f(v,v)*a1 *a13*a2*a4 *b1*u
2 x
3 3 2 2 4 2 2
+ ---*f(v,v )*f(v,v)*a1 *a2 *a4 *b1*u - 3*f(v,v )*a1 *a13 *a4*b24*u
4 x x
3 4 2 2 1 4 3 4
+ ---*f(v,v )*a1 *a2 *a4*b1*u + ---*f(v,v) *a13 *a4 *b24
4 x 8
1 4 2 4 3 3 3 3
- ----*f(v,v) *a13*a2 *a4 *b1 + ---*f(v,v) *a1*a13 *a4 *b24*u
32 4
3 3 2 3 3 2 2 3 2 2
- ----*f(v,v) *a1*a13*a2 *a4 *b1*u + ---*f(v,v) *a1 *a13 *a4 *b24*u
16 2
3 2 2 2 2 2 3 3 3
- ---*f(v,v) *a1 *a13*a2 *a4 *b1*u + f(v,v)*a1 *a13 *a4*b24*u
8
1 3 2 3 7
- ---*f(v,v)*a1 *a13*a2 *a4*b1*u )/a1
4
5 5 5
df(v,s)=(u *a1 *a13*b1*v - u *a1 *a13*b24*v - 3*u *v *a1 *a13*b24
2x 2x x x
3 3 2 3 3
+ ---*u *f(v,v)*a1 *a13 *a4*b24*v + ---*u *f(v,v)*a1 *a13*a2*a4*b1*v
2 x 4 x
4 2 3 4 6
+ 3*u *a1 *a13 *b24*u*v + ---*u *a1 *a13*a2*b1*u*v + v *a1 *b24
x 2 x 3x
3 4 5
- ---*v *f(v,v)*a1 *a13*a4*b24 - 3*v *a1 *a13*b24*u
2 2x 2x
4 3 2 2 2 2
- 3*v *f(v,v )*a1 *a13*a4*b24 + ---*v *f(v,v) *a1 *a13 *a4 *b24
x x 4 x
3 2 4 2 2
+ 3*v *f(v,v)*a1 *a13 *a4*b24*u + 3*v *a1 *a13 *b24*u
x x
4 4
+ f(v ,v )*a1 *a13*a4*b1*v - f(v ,v )*a1 *a13*a4*b24*v
x x x x
4 4
+ f(v,v )*a1 *a13*a4*b1*v - f(v,v )*a1 *a13*a4*b24*v
2x 2x
3 2 2 2
+ ---*f(v,v )*f(v,v)*a1 *a13 *a4 *b24*v
2 x
3 2 2
+ ---*f(v,v )*f(v,v)*a1 *a13*a2*a4 *b1*v
4 x
3 2 3 3
+ 3*f(v,v )*a1 *a13 *a4*b24*u*v + ---*f(v,v )*a1 *a13*a2*a4*b1*u*v
x 2 x
1 3 3 3 1 3 2 3
- ---*f(v,v) *a13 *a4 *b24*v + ----*f(v,v) *a13*a2 *a4 *b1*v
8 32
3 2 3 2 3 2 2 2
- ---*f(v,v) *a1*a13 *a4 *b24*u*v + ----*f(v,v) *a1*a13*a2 *a4 *b1*u*v
4 16
3 2 3 2 3 2 2 2
- ---*f(v,v)*a1 *a13 *a4*b24*u *v + ---*f(v,v)*a1 *a13*a2 *a4*b1*u *v
2 8
3 3 3 1 3 2 3 6
- a1 *a13 *b24*u *v + ---*a1 *a13*a2 *b1*u *v)/a1
4