Solution 22 to problem e3quant
Expressions |
Parameters |
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Expressions
The solution is given through the following expressions:
b22=0
b31=0
b32=0
c12=0
c13=0
c22=0
c23=0
1 2
- ---*b33
4
c33=-------------
a22
n2=0
n3=0
1 1
- ---*a22*b33*n1 - ---*a33*b33*n1
2 2
m1=------------------------------------
2
a22 - a22*a33
m2=0
m3=0
r6=0
r5=0
r3=0
r2=0
2
- 2*a22 *r4 + 2*a22*a33*r4 + 6*b33*k1*n1
r1=-------------------------------------------
a22*b33 - a33*b33
1 2
---*b33 *k12*n1
2
q20=-----------------
3 2
a22 - a22 *a33
1 2 1 3 2 1 2
- ---*a22 *b33*r4 + ---*a22*a33*b33*r4 - ---*b33 *k1*n1 + ---*b33 *k12*n1
2 2 4 4
q19=----------------------------------------------------------------------------
2
a22 *n1
q18=0
q17=0
1 4 3 3 3 2 2
q16=( - ---*a22 *b33*r4 + ---*a22 *a33*b33*r4 - ---*a22 *a33 *b33*r4
2 2 2
3 2 2 1 2 2 1 3
- ---*a22 *b33 *k1*n1 + ---*a22 *b33 *k12*n1 + ---*a22*a33 *b33*r4
4 4 2
3 2 1 2 3 2 2
+ ---*a22*a33*b33 *k1*n1 - ---*a22*a33*b33 *k12*n1 - ---*a33 *b33 *k1*n1
2 2 4
1 2 2 1 2 3 1 2 3 4
+ ---*a33 *b33 *k12*n1 + ---*b33 *k1*n1 + ---*b33 *k12*n1 )/(a22 *n1
4 4 4
3 2 2
- 2*a22 *a33*n1 + a22 *a33 *n1)
b33*k1*n1
q14=----------------
2
a22 - a22*a33
q13=0
- b33*k12*n1
q11=----------------
2
a22 - a22*a33
2
2*a22 *r4 - 2*a22*a33*r4 - a22*k38*n1 + b33*k1*n1 - b33*k12*n1
q10=----------------------------------------------------------------
a22*n1
q9=0
- 2*k1*n1 + 2*k12*n1
q8=-----------------------
a22 - a33
2
- 2*a22 *r4 + 2*a22*a33*r4 + b33*k1*n1 + b33*k12*n1
q7=------------------------------------------------------
b33*n1
q6=0
q5=0
4 3 3 2 2 2
q4=(2*a22 *r4 - 6*a22 *a33*r4 - a22 *k38*n1 + 6*a22 *a33 *r4 + 2*a22 *a33*k38*n1
2 2 3 2
+ a22 *b33*k1*n1 - a22 *b33*k12*n1 - 2*a22*a33 *r4 - a22*a33 *k38*n1
2
- 2*a22*a33*b33*k1*n1 + 2*a22*a33*b33*k12*n1 + a33 *b33*k1*n1
2 3 3 2 2
- a33 *b33*k12*n1 - b33*k1*n1 )/(a22 *n1 - 2*a22 *a33*n1 + a22*a33 *n1)
q3=0
q2=0
5 4 3 3
q1=( - 2*a22 *r4 + 4*a22 *a33*r4 + 5*a22 *b33*k1*n1 + a22 *b33*k12*n1
2 3 2 2
- 4*a22 *a33 *r4 - 5*a22 *a33*b33*k1*n1 - a22 *a33*b33*k12*n1
4 2 2
+ 2*a22*a33 *r4 - 5*a22*a33 *b33*k1*n1 - a22*a33 *b33*k12*n1
3 3 3 3
+ a22*b33*k1*n1 - a22*b33*k12*n1 + 5*a33 *b33*k1*n1 + a33 *b33*k12*n1
3 3 3 2
+ a33*b33*k1*n1 - a33*b33*k12*n1 )/(a22 *b33*n1 - a22 *a33*b33*n1
2 3
- a22*a33 *b33*n1 + a33 *b33*n1)
p56=0
p55=0
p54=0
p53=0
1 3 1 2 1 3
p52=( - ---*a22 *b33*k16*n1 + ---*a22 *a33*b33*k16*n1 - ---*a22*b33 *k1*n1
2 2 4
1 3 1 3 1 3 5
+ ---*a22*b33 *k12*n1 + ---*a33*b33 *k1*n1 - ---*a33*b33 *k12*n1)/(a22
4 4 4
4 3 2
- 2*a22 *a33 + a22 *a33 )
p51=0
1 3 1 2 1 3
p50=( - ---*a22 *b33*k16*n1 + ---*a22 *a33*b33*k16*n1 - ---*a22*b33 *k1*n1
2 2 2
1 3 1 3 1 3 5
+ ---*a22*b33 *k12*n1 + ---*a33*b33 *k1*n1 - ---*a33*b33 *k12*n1)/(a22
8 2 8
4 3 2
- 2*a22 *a33 + a22 *a33 )
p49=0
p48=0
1 3 1 2 1 3
p47=( - ---*a22 *b33*k16*n1 + ---*a22 *a33*b33*k16*n1 - ---*a22*b33 *k1*n1
2 2 2
1 3 1 3 1 3 5
+ ---*a22*b33 *k12*n1 + ---*a33*b33 *k1*n1 - ---*a33*b33 *k12*n1)/(a22
8 2 8
4 3 2
- 2*a22 *a33 + a22 *a33 )
p46=0
p45=0
p44=0
1 2 1 2
p43=( - ---*a22 *b33*k38*n1 + ---*a22*a33*b33*k38*n1 - a22*b33 *k1*n1
2 2
1 2 2 1 2 4
- ---*a22*b33 *k12*n1 + a33*b33 *k1*n1 + ---*a33*b33 *k12*n1)/(a22
2 2
3 2 2
- 2*a22 *a33 + a22 *a33 )
2 1 2
b33 *k1 - ---*b33 *k12
4
p42=------------------------
2
a22
p41=0
p40=0
p39=0
1
- ---*b33*k12*n1
2
p38=-------------------
2
a22 - a22*a33
p37=0
p36=0
p35=0
p34=0
1 2
---*b33 *k12
4
p33=--------------
2
a22
1
- ---*b33*k38*n1
2
p32=-------------------
2
a22 - a22*a33
p31=0
p30=0
p29=0
2*a22*k38 - 2*b33*k1
p28=----------------------
a22
p27=0
p26=0
p25=0
1
- b33*k1*n1 - ---*b33*k12*n1
2
p24=-------------------------------
2
a22 - a22*a33
p23=0
p22=0
3 2 1 2 1 2
a22 *k16*n1 - a22 *a33*k16*n1 + ---*a22*b33 *k1*n1 - ---*a33*b33 *k1*n1
2 2
p21=-------------------------------------------------------------------------
4 3 2 2
a22 - 2*a22 *a33 + a22 *a33
1 2
- ---*b33 *k12
4
p20=-----------------
2
a22
3 2 2 1 2
p19=(a22 *k16*n1 - a22 *a33*k16*n1 + a22*b33 *k1*n1 - ---*a22*b33 *k12*n1
4
2 1 2 4 3 2 2
- a33*b33 *k1*n1 + ---*a33*b33 *k12*n1)/(a22 - 2*a22 *a33 + a22 *a33 )
4
p18=0
p17=0
3 2 1 2
p16=(a22 *k16*n1 - a22 *a33*k16*n1 - ---*a22 *b33*k38*n1
2
1 2 1 2
+ ---*a22*a33*b33*k38*n1 + a22*b33 *k1*n1 - ---*a22*b33 *k12*n1
2 4
2 1 2 4 3 2 2
- a33*b33 *k1*n1 + ---*a33*b33 *k12*n1)/(a22 - 2*a22 *a33 + a22 *a33 )
4
2
p15=( - a22 *k38*n1 + a22*a33*k38*n1 + 2*a22*b33*k1*n1 - a22*b33*k12*n1
3 2 2
- 2*a33*b33*k1*n1 + a33*b33*k12*n1)/(a22 - 2*a22 *a33 + a22*a33 )
- 2*a22*k38 + 2*b33*k1
p14=-------------------------
a22
p13=0
k12*n1
p12=-----------
a22 - a33
p11=0
- k38*n1
p10=-----------
a22 - a33
p9=0
p8= - 4*k1
2*k1*n1 - k12*n1
p7=------------------
a22 - a33
p6=0
p5=0
2 1
p4=( - a22 *k38*n1 + a22*a33*k38*n1 - a22*b33*k1*n1 - ---*a22*b33*k12*n1
2
1 3 2 2
+ a33*b33*k1*n1 + ---*a33*b33*k12*n1)/(a22 - 2*a22 *a33 + a22*a33 )
2
p3=0
p2=0
2*k1*n1 - k12*n1
p1=------------------
a22 - a33
k125=0
1 2 2 1 4 1 4
---*a22 *b33 *k16 + ---*b33 *k1 - ----*b33 *k12
4 8 16
k124=-------------------------------------------------
4
a22
k123=0
1 2 2 3 4 1 4
---*a22 *b33 *k16 + ----*b33 *k1 - ----*b33 *k12
4 16 16
k122=--------------------------------------------------
4
a22
k121=0
k120=0
k119=0
k118=0
1 2 2 1 4 1 4
---*a22 *b33 *k16 + ---*b33 *k1 - ----*b33 *k12
4 8 16
k117=-------------------------------------------------
4
a22
k116=0
1 2 2 3 4 1 4
---*a22 *b33 *k16 + ---*b33 *k1 - ---*b33 *k12
2 8 8
k115=------------------------------------------------
4
a22
k114=0
k113=0
1 2 2 3 4 1 4
---*a22 *b33 *k16 + ----*b33 *k1 - ----*b33 *k12
4 16 16
k112=--------------------------------------------------
4
a22
k110=0
1 3
---*b33 *k1
2
k109=-------------
3
a22
k108=0
k107=0
k106=0
k105=0
1 3
---*b33 *k1
2
k104=-------------
3
a22
k103=0
k102=0
k100=0
k99=0
k98=0
k97=0
a22*k38 + b33*k12
k95=-------------------
a22
k94=0
k93=0
k91=0
2 1 3 1 3
- a22 *b33*k16 - ---*b33 *k1 + ---*b33 *k12
2 4
k90=----------------------------------------------
3
a22
k89=0
2 1 3 1 3
- a22 *b33*k16 - ---*b33 *k1 + ---*b33 *k12
2 4
k88=----------------------------------------------
3
a22
k87=0
k86=0
k85=0
k84=0
2 1 3 1 3
- a22 *b33*k16 - ---*b33 *k1 + ---*b33 *k12
2 4
k83=----------------------------------------------
3
a22
k82=0
k81=0
2 1 2
- 2*b33 *k1 + ---*b33 *k12
2
k80=-----------------------------
2
a22
k79=0
k78=0
k77=0
k76=0
k75=0
k74=k38
k73=0
k72=0
2 1 2 1 2
a22 *k16 + ---*b33 *k1 - ---*b33 *k12
2 4
k71=---------------------------------------
2
a22
k70=0
k69=k16
k68=0
k67=0
2 2 1 2
a22 *k16 + b33 *k1 - ---*b33 *k12
4
k66=-----------------------------------
2
a22
2*b33*k1
k65=----------
a22
k64=0
k63=0
k62=k12
k61=0
k59=0
k58=0
k57=k1
k56=0
k55=0
k54=0
k53=0
2 1 3 1 3
- a22 *b33*k16 - ---*b33 *k1 + ---*b33 *k12
2 4
k52=----------------------------------------------
3
a22
k51=0
2 1 3 1 3
- a22 *b33*k16 - ---*b33 *k1 + ---*b33 *k12
2 4
k50=----------------------------------------------
3
a22
k49=0
k48=0
2 1 3 1 3
- a22 *b33*k16 - ---*b33 *k1 + ---*b33 *k12
2 4
k47=----------------------------------------------
3
a22
k46=0
k45=0
k44=0
2 1 2
- 2*b33 *k1 + ---*b33 *k12
2
k43=-----------------------------
2
a22
k42=0
k41=0
k40=0
k39=0
k37=0
k36=0
k35=0
k34=0
k33=0
2 1 2
- 2*b33 *k1 + ---*b33 *k12
2
k32=-----------------------------
2
a22
k31=0
k30=0
k29=0
k28=0
k27=0
k26=0
k25=0
k24=0
k23=0
k22=0
2 1 2 1 2
a22 *k16 + ---*b33 *k1 - ---*b33 *k12
2 4
k21=---------------------------------------
2
a22
k20=0
2 2 1 2
a22 *k16 + b33 *k1 - ---*b33 *k12
4
k19=-----------------------------------
2
a22
k18=0
k17=0
2*b33*k1
k15=----------
a22
k14=0
k13=0
k11=0
k10=0
k9=0
k8=0
k7=2*k1
k6=0
k5=0
k4=0
k3=0
k2=0
Parameters
Apart from the condition that they must not vanish to give
a non-trivial solution and a non-singular solution with
non-vanishing denominators, the following parameters are free:
b33,r4,k38,k16,k12,k1,n1,a33,a22
Relevance for the application:
The following expression INT is a first
integral for the Hamiltonian HAM:
3 2 3 2 2 2 2 2 2 2
HAM=(4*a22 *u1 + 4*a22 *u2 - 4*a22 *a33*u1 - 4*a22 *a33*u2 + 4*a22 *a33*u3
2 2 2 2
+ 4*a22 *b33*u3*v3 + 4*a22 *n1*u1 - 4*a22*a33 *u3 - 4*a22*a33*b33*u3*v3
2 2 2 2
- 4*a22*a33*n1*u1 - a22*b33 *v3 - 2*a22*b33*n1*v1 + a33*b33 *v3
- 2*a33*b33*n1*v1)/(4*a22*(a22 - a33))
9 2 9 8 2
INT=( - 32*a22 *r4*u1 - 32*a22 *r4*u1*v1 + 64*a22 *a33*r4*u1
8 8 8 2
+ 64*a22 *a33*r4*u1*v1 + 32*a22 *b33*r4*u1*u3 + 32*a22 *b33*r4*v1
8 7 7 2
- 32*a22 *n1*r4*u1 - 64*a22 *a33*b33*r4*u1*u3 - 64*a22 *a33*b33*r4*v1
7 7 2 7 2
+ 32*a22 *a33*n1*r4*u1 - 8*a22 *b33 *r4*u1*v3 - 8*a22 *b33 *r4*v1*v3
7 4 7 2
+ 16*a22 *b33*k1*n1*u1 + 32*a22 *b33*k1*n1*u1 *u2*u3
7 2 7 2
+ 80*a22 *b33*k1*n1*u1 + 16*a22 *b33*k1*n1*u1*u2*v2
7 2 7
- 64*a22 *b33*k1*n1*u1*u3 + 16*a22 *b33*k1*n1*u1*v1
7 2 7 2
+ 16*a22 *b33*k12*n1*u1 + 16*a22 *b33*k12*n1*u1*v1*v2
7 7 2 2
+ 16*a22 *b33*k12*n1*u1*v1 + 16*a22 *b33*k12*n1*u2 *u3
7 3 7 3
+ 16*a22 *b33*k16*n1*u1 *v1 + 16*a22 *b33*k16*n1*u1 *v3
7 7 3
+ 16*a22 *b33*k16*n1*u1*u2*u3*v1 + 16*a22 *b33*k16*n1*u1*v2
7 3 7 3
+ 16*a22 *b33*k16*n1*u2 *v1 + 16*a22 *b33*k16*n1*v1*v2
7 2 7
+ 16*a22 *b33*k38*n1*u1*u2 *v2 - 32*a22 *b33*k38*n1*u1*u3*v1
7 7 3
- 16*a22 *b33*k38*n1*u1*u3 + 16*a22 *b33*k38*n1*u2 *v3
7 7
+ 16*a22 *b33*k38*n1*u2*u3*v2*v3 + 32*a22 *b33*k38*n1*u2*v1*v2
7 2 7 6 3 2
- 16*a22 *b33*k38*n1*v1 + 16*a22 *b33*n1*r4*v1 - 64*a22 *a33 *r4*u1
6 3 6 2
- 64*a22 *a33 *r4*u1*v1 + 32*a22 *a33 *n1*r4*u1
6 2 6 2
+ 16*a22 *a33*b33 *r4*u1*v3 + 16*a22 *a33*b33 *r4*v1*v3
6 4 6 2
- 16*a22 *a33*b33*k1*n1*u1 - 32*a22 *a33*b33*k1*n1*u1 *u2*u3
6 2 6 2
- 80*a22 *a33*b33*k1*n1*u1 - 16*a22 *a33*b33*k1*n1*u1*u2*v2
6 2 6
+ 64*a22 *a33*b33*k1*n1*u1*u3 - 16*a22 *a33*b33*k1*n1*u1*v1
6 2 6 2
- 16*a22 *a33*b33*k12*n1*u1 - 16*a22 *a33*b33*k12*n1*u1*v1*v2
6 6 2 2
- 16*a22 *a33*b33*k12*n1*u1*v1 - 16*a22 *a33*b33*k12*n1*u2 *u3
6 3 6 3
- 16*a22 *a33*b33*k16*n1*u1 *v1 - 16*a22 *a33*b33*k16*n1*u1 *v3
6 6 3
- 16*a22 *a33*b33*k16*n1*u1*u2*u3*v1 - 16*a22 *a33*b33*k16*n1*u1*v2
6 3 6 3
- 16*a22 *a33*b33*k16*n1*u2 *v1 - 16*a22 *a33*b33*k16*n1*v1*v2
6 2 6
- 16*a22 *a33*b33*k38*n1*u1*u2 *v2 + 32*a22 *a33*b33*k38*n1*u1*u3*v1
6 6 3
+ 16*a22 *a33*b33*k38*n1*u1*u3 - 16*a22 *a33*b33*k38*n1*u2 *v3
6 6
- 16*a22 *a33*b33*k38*n1*u2*u3*v2*v3 - 32*a22 *a33*b33*k38*n1*u2*v1*v2
6 2 6
+ 16*a22 *a33*b33*k38*n1*v1 - 16*a22 *a33*b33*n1*r4*v1
6 2 6 2
+ 32*a22 *b33 *k1*n1*u1*u3*v1 + 16*a22 *b33 *k1*n1*u1*u3
6 2 6 2 4
- 32*a22 *b33 *k1*n1*u2*v1*v2 + 32*a22 *b33 *k1*n1*u3
6 2 2 2 6 2 2
+ 32*a22 *b33 *k1*n1*v1 *v2 + 16*a22 *b33 *k1*n1*v1
6 2 6 2
- 16*a22 *b33 *k12*n1*u1*u3 + 16*a22 *b33 *k12*n1*u2*u3*v2*v3
6 2 2 6 2
- 16*a22 *b33 *k12*n1*v1 - 16*a22 *b33 *k16*n1*u1*u2*v1*v2
6 2 2 6 2 2
- 16*a22 *b33 *k16*n1*u1*v1 *v2 - 16*a22 *b33 *k16*n1*u2 *v1*v3
6 2 6 2 2
- 16*a22 *b33 *k16*n1*u2*u3*v1*v2 - 16*a22 *b33 *k16*n1*u2*v1 *v3
6 2 3 6 2 3
- 16*a22 *b33 *k16*n1*v1 *v3 + 32*a22 *b33*k1*n1 *u1
6 2 6 2 2
+ 96*a22 *b33*k1*n1 *u1 + 32*a22 *b33*k1*n1 *u2 *u3
6 2 6 2 3
- 32*a22 *b33*k1*n1 *u2*v1 - 16*a22 *b33*k12*n1 *u1
6 2 6 2 2
+ 16*a22 *b33*k12*n1 *u1*u2*v1 - 16*a22 *b33*k12*n1 *u2 *u3
6 2 6 2 2
+ 32*a22 *b33*k12*n1 *u2*v1 + 16*a22 *b33*k16*n1 *u1 *v2
6 2 2 6 2 2
+ 16*a22 *b33*k16*n1 *u3 *v1 + 16*a22 *b33*k16*n1 *u3*v1
6 2 3 6 2
- 16*a22 *b33*k38*n1 *u2 - 16*a22 *b33*k38*n1 *u2*u3*v1
6 2 3 5 4 2 5 4
- 16*a22 *b33*k38*n1 *u3 + 32*a22 *a33 *r4*u1 + 32*a22 *a33 *r4*u1*v1
5 3 5 3 2
+ 64*a22 *a33 *b33*r4*u1*u3 + 64*a22 *a33 *b33*r4*v1
5 3 5 2 4
- 32*a22 *a33 *n1*r4*u1 - 16*a22 *a33 *b33*k1*n1*u1
5 2 2 5 2 2
- 32*a22 *a33 *b33*k1*n1*u1 *u2*u3 - 80*a22 *a33 *b33*k1*n1*u1
5 2 2 5 2 2
- 16*a22 *a33 *b33*k1*n1*u1*u2*v2 + 64*a22 *a33 *b33*k1*n1*u1*u3
5 2 5 2 2
- 16*a22 *a33 *b33*k1*n1*u1*v1 - 16*a22 *a33 *b33*k12*n1*u1
5 2 2 5 2
- 16*a22 *a33 *b33*k12*n1*u1*v1*v2 - 16*a22 *a33 *b33*k12*n1*u1*v1
5 2 2 2 5 2 3
- 16*a22 *a33 *b33*k12*n1*u2 *u3 - 16*a22 *a33 *b33*k16*n1*u1 *v1
5 2 3 5 2
- 16*a22 *a33 *b33*k16*n1*u1 *v3 - 16*a22 *a33 *b33*k16*n1*u1*u2*u3*v1
5 2 3 5 2 3
- 16*a22 *a33 *b33*k16*n1*u1*v2 - 16*a22 *a33 *b33*k16*n1*u2 *v1
5 2 3 5 2 2
- 16*a22 *a33 *b33*k16*n1*v1*v2 - 16*a22 *a33 *b33*k38*n1*u1*u2 *v2
5 2 5 2
+ 32*a22 *a33 *b33*k38*n1*u1*u3*v1 + 16*a22 *a33 *b33*k38*n1*u1*u3
5 2 3 5 2
- 16*a22 *a33 *b33*k38*n1*u2 *v3 - 16*a22 *a33 *b33*k38*n1*u2*u3*v2*v3
5 2 5 2 2
- 32*a22 *a33 *b33*k38*n1*u2*v1*v2 + 16*a22 *a33 *b33*k38*n1*v1
5 2 5 2
- 16*a22 *a33 *b33*n1*r4*v1 - 32*a22 *a33*b33 *k1*n1*u1*u3*v1
5 2 5 2
- 16*a22 *a33*b33 *k1*n1*u1*u3 + 32*a22 *a33*b33 *k1*n1*u2*v1*v2
5 2 4 5 2 2 2
- 32*a22 *a33*b33 *k1*n1*u3 - 32*a22 *a33*b33 *k1*n1*v1 *v2
5 2 2 5 2
- 16*a22 *a33*b33 *k1*n1*v1 + 16*a22 *a33*b33 *k12*n1*u1*u3
5 2 5 2 2
- 16*a22 *a33*b33 *k12*n1*u2*u3*v2*v3 + 16*a22 *a33*b33 *k12*n1*v1
5 2 5 2 2
+ 16*a22 *a33*b33 *k16*n1*u1*u2*v1*v2 + 16*a22 *a33*b33 *k16*n1*u1*v1 *v2
5 2 2 5 2
+ 16*a22 *a33*b33 *k16*n1*u2 *v1*v3 + 16*a22 *a33*b33 *k16*n1*u2*u3*v1*v2
5 2 2 5 2 3
+ 16*a22 *a33*b33 *k16*n1*u2*v1 *v3 + 16*a22 *a33*b33 *k16*n1*v1 *v3
5 3 3 5 3
+ 8*a22 *b33 *k1*n1*u1 *v3 + 8*a22 *b33 *k1*n1*u1*u2*u3*v1
5 3 2 5 3 3
- 32*a22 *b33 *k1*n1*u1*u3 *v2 - 32*a22 *b33 *k1*n1*u1*v1
5 3 5 3 3
+ 16*a22 *b33 *k1*n1*u1*v1*v3 + 16*a22 *b33 *k1*n1*u1*v2
5 3 5 3 3
- 12*a22 *b33 *k1*n1*u1*v3 + 16*a22 *b33 *k1*n1*u2 *v1
5 3 3 5 3
- 32*a22 *b33 *k1*n1*u3 *v3 - 12*a22 *b33 *k1*n1*v1*v3
5 3 3 5 3
- 4*a22 *b33 *k12*n1*u1 *v3 - 4*a22 *b33 *k12*n1*u1*u2*u3*v1
5 3 2 5 3 3
+ 8*a22 *b33 *k12*n1*u1*u3 *v2 + 8*a22 *b33 *k12*n1*u1*v1
5 3 5 3 3
- 4*a22 *b33 *k12*n1*u1*v1*v3 - 4*a22 *b33 *k12*n1*u1*v2
5 3 5 3 3
+ 4*a22 *b33 *k12*n1*u1*v3 - 4*a22 *b33 *k12*n1*u2 *v1
5 3 3 5 3 2
+ 8*a22 *b33 *k12*n1*u3 *v3 + 4*a22 *b33 *k12*n1*u3*v2
5 3 3 5 3
- 4*a22 *b33 *k12*n1*v1 + 4*a22 *b33 *k12*n1*v1*v3
5 3 2 5 3 2
+ 4*a22 *b33 *k16*n1*u1*v1*v3 + 4*a22 *b33 *k16*n1*u2*v2*v3
5 3 3 5 3 2 2
+ 4*a22 *b33 *k16*n1*u2*v3 + 8*a22 *b33 *k16*n1*v1 *v3
5 3 3 5 2 2
+ 4*a22 *b33 *k16*n1*v1*v3 - 16*a22 *b33 *k1*n1 *u1*u3*v2
5 2 2 3 5 2 2
- 16*a22 *b33 *k1*n1 *u2 + 32*a22 *b33 *k1*n1 *u2*u3*v1
5 2 2 5 2 2
+ 16*a22 *b33 *k1*n1 *v1*v2 - 8*a22 *b33 *k12*n1 *u1*u3*v2
5 2 2 5 2 2 3
- 16*a22 *b33 *k12*n1 *u1*v2 - 8*a22 *b33 *k12*n1 *u2
5 2 2 2 5 2 2
- 8*a22 *b33 *k12*n1 *u2 *v3 - 16*a22 *b33 *k12*n1 *u2*u3*v1
5 2 2 5 2 2 2
- 8*a22 *b33 *k16*n1 *u2*v2*v3 - 8*a22 *b33 *k16*n1 *u2*v3
5 2 2 2 5 2 2
- 8*a22 *b33 *k16*n1 *v2 *v3 - 8*a22 *b33 *k38*n1 *u2*v1*v3
5 2 2 2 5 2 2 2
- 8*a22 *b33 *k38*n1 *u2*v2 - 8*a22 *b33 *k38*n1 *u3 *v1
5 3 2 5 3 2
+ 16*a22 *b33*k1*n1 *u1 - 16*a22 *b33*k12*n1 *u1
4 4 4 4 2
- 32*a22 *a33 *b33*r4*u1*u3 - 32*a22 *a33 *b33*r4*v1
4 3 2 4 3 2
- 16*a22 *a33 *b33 *r4*u1*v3 - 16*a22 *a33 *b33 *r4*v1*v3
4 3 4 4 3 2
+ 16*a22 *a33 *b33*k1*n1*u1 + 32*a22 *a33 *b33*k1*n1*u1 *u2*u3
4 3 2 4 3 2
+ 80*a22 *a33 *b33*k1*n1*u1 + 16*a22 *a33 *b33*k1*n1*u1*u2*v2
4 3 2 4 3
- 64*a22 *a33 *b33*k1*n1*u1*u3 + 16*a22 *a33 *b33*k1*n1*u1*v1
4 3 2 4 3 2
+ 16*a22 *a33 *b33*k12*n1*u1 + 16*a22 *a33 *b33*k12*n1*u1*v1*v2
4 3 4 3 2 2
+ 16*a22 *a33 *b33*k12*n1*u1*v1 + 16*a22 *a33 *b33*k12*n1*u2 *u3
4 3 3 4 3 3
+ 16*a22 *a33 *b33*k16*n1*u1 *v1 + 16*a22 *a33 *b33*k16*n1*u1 *v3
4 3 4 3 3
+ 16*a22 *a33 *b33*k16*n1*u1*u2*u3*v1 + 16*a22 *a33 *b33*k16*n1*u1*v2
4 3 3 4 3 3
+ 16*a22 *a33 *b33*k16*n1*u2 *v1 + 16*a22 *a33 *b33*k16*n1*v1*v2
4 3 2 4 3
+ 16*a22 *a33 *b33*k38*n1*u1*u2 *v2 - 32*a22 *a33 *b33*k38*n1*u1*u3*v1
4 3 4 3 3
- 16*a22 *a33 *b33*k38*n1*u1*u3 + 16*a22 *a33 *b33*k38*n1*u2 *v3
4 3 4 3
+ 16*a22 *a33 *b33*k38*n1*u2*u3*v2*v3 + 32*a22 *a33 *b33*k38*n1*u2*v1*v2
4 3 2 4 3
- 16*a22 *a33 *b33*k38*n1*v1 + 16*a22 *a33 *b33*n1*r4*v1
4 2 2 4 2 2
- 32*a22 *a33 *b33 *k1*n1*u1*u3*v1 - 16*a22 *a33 *b33 *k1*n1*u1*u3
4 2 2 4 2 2 4
+ 32*a22 *a33 *b33 *k1*n1*u2*v1*v2 - 32*a22 *a33 *b33 *k1*n1*u3
4 2 2 2 2 4 2 2 2
- 32*a22 *a33 *b33 *k1*n1*v1 *v2 - 16*a22 *a33 *b33 *k1*n1*v1
4 2 2 4 2 2
+ 16*a22 *a33 *b33 *k12*n1*u1*u3 - 16*a22 *a33 *b33 *k12*n1*u2*u3*v2*v3
4 2 2 2 4 2 2
+ 16*a22 *a33 *b33 *k12*n1*v1 + 16*a22 *a33 *b33 *k16*n1*u1*u2*v1*v2
4 2 2 2 4 2 2 2
+ 16*a22 *a33 *b33 *k16*n1*u1*v1 *v2 + 16*a22 *a33 *b33 *k16*n1*u2 *v1*v3
4 2 2
+ 16*a22 *a33 *b33 *k16*n1*u2*u3*v1*v2
4 2 2 2 4 2 2 3
+ 16*a22 *a33 *b33 *k16*n1*u2*v1 *v3 + 16*a22 *a33 *b33 *k16*n1*v1 *v3
4 2 2 3 4 2 2
- 32*a22 *a33 *b33*k1*n1 *u1 - 96*a22 *a33 *b33*k1*n1 *u1
4 2 2 2 4 2 2
- 32*a22 *a33 *b33*k1*n1 *u2 *u3 + 32*a22 *a33 *b33*k1*n1 *u2*v1
4 2 2 3 4 2 2
+ 16*a22 *a33 *b33*k12*n1 *u1 - 16*a22 *a33 *b33*k12*n1 *u1*u2*v1
4 2 2 2 4 2 2
+ 16*a22 *a33 *b33*k12*n1 *u2 *u3 - 32*a22 *a33 *b33*k12*n1 *u2*v1
4 2 2 2 4 2 2 2
- 16*a22 *a33 *b33*k16*n1 *u1 *v2 - 16*a22 *a33 *b33*k16*n1 *u3 *v1
4 2 2 2 4 2 2 3
- 16*a22 *a33 *b33*k16*n1 *u3*v1 + 16*a22 *a33 *b33*k38*n1 *u2
4 2 2 4 2 2 3
+ 16*a22 *a33 *b33*k38*n1 *u2*u3*v1 + 16*a22 *a33 *b33*k38*n1 *u3
4 3 3 4 3
- 8*a22 *a33*b33 *k1*n1*u1 *v3 - 8*a22 *a33*b33 *k1*n1*u1*u2*u3*v1
4 3 2 4 3 3
+ 32*a22 *a33*b33 *k1*n1*u1*u3 *v2 + 32*a22 *a33*b33 *k1*n1*u1*v1
4 3 4 3 3
- 16*a22 *a33*b33 *k1*n1*u1*v1*v3 - 16*a22 *a33*b33 *k1*n1*u1*v2
4 3 4 3 3
+ 12*a22 *a33*b33 *k1*n1*u1*v3 - 16*a22 *a33*b33 *k1*n1*u2 *v1
4 3 3 4 3
+ 32*a22 *a33*b33 *k1*n1*u3 *v3 + 12*a22 *a33*b33 *k1*n1*v1*v3
4 3 3 4 3
+ 4*a22 *a33*b33 *k12*n1*u1 *v3 + 4*a22 *a33*b33 *k12*n1*u1*u2*u3*v1
4 3 2 4 3 3
- 8*a22 *a33*b33 *k12*n1*u1*u3 *v2 - 8*a22 *a33*b33 *k12*n1*u1*v1
4 3 4 3 3
+ 4*a22 *a33*b33 *k12*n1*u1*v1*v3 + 4*a22 *a33*b33 *k12*n1*u1*v2
4 3 4 3 3
- 4*a22 *a33*b33 *k12*n1*u1*v3 + 4*a22 *a33*b33 *k12*n1*u2 *v1
4 3 3 4 3 2
- 8*a22 *a33*b33 *k12*n1*u3 *v3 - 4*a22 *a33*b33 *k12*n1*u3*v2
4 3 3 4 3
+ 4*a22 *a33*b33 *k12*n1*v1 - 4*a22 *a33*b33 *k12*n1*v1*v3
4 3 2 4 3 2
- 4*a22 *a33*b33 *k16*n1*u1*v1*v3 - 4*a22 *a33*b33 *k16*n1*u2*v2*v3
4 3 3 4 3 2 2
- 4*a22 *a33*b33 *k16*n1*u2*v3 - 8*a22 *a33*b33 *k16*n1*v1 *v3
4 3 3 4 3 2
- 4*a22 *a33*b33 *k16*n1*v1*v3 + 16*a22 *a33*b33*k1*n1 *u1
4 3 2 4 4
- 16*a22 *a33*b33*k12*n1 *u1 - 8*a22 *b33 *k1*n1*u1*u2*v1*v2
4 4 2 4 4 2
+ 8*a22 *b33 *k1*n1*u1*u3*v3 - 8*a22 *b33 *k1*n1*u1*v1 *v2
4 4 2 4 4
- 8*a22 *b33 *k1*n1*u2 *v1*v3 - 8*a22 *b33 *k1*n1*u2*u3*v1*v2
4 4 2 4 4 3
- 8*a22 *b33 *k1*n1*u2*v1 *v3 - 8*a22 *b33 *k1*n1*v1 *v3
4 4 2 4 4
+ 8*a22 *b33 *k1*n1*v1*v2 *v3 + 4*a22 *b33 *k12*n1*u1*u2*v1*v2
4 4 2 4 4 2
+ 4*a22 *b33 *k12*n1*u1*v1 *v2 + 4*a22 *b33 *k12*n1*u2 *v1*v3
4 4 4 4 2
+ 4*a22 *b33 *k12*n1*u2*u3*v1*v2 + 4*a22 *b33 *k12*n1*u2*v1 *v3
4 4 3 4 3 2 2
+ 4*a22 *b33 *k12*n1*v1 *v3 + 8*a22 *b33 *k1*n1 *u1 *v2
4 3 2 4 3 2 2
- 16*a22 *b33 *k1*n1 *u2*v1*v3 + 16*a22 *b33 *k1*n1 *u3 *v1
4 3 2 2 4 3 2
+ 16*a22 *b33 *k1*n1 *u3*v1 - 8*a22 *b33 *k12*n1 *u2*v1*v3
4 3 2 2 4 3 2 2
- 4*a22 *b33 *k12*n1 *u3 *v1 - 4*a22 *b33 *k12*n1 *u3*v1
4 3 2 4 2 3
+ 8*a22 *b33 *k12*n1 *v2*v3 - 16*a22 *b33 *k1*n1 *u1*u3
3 4 2 3 4 2
+ 8*a22 *a33 *b33 *r4*u1*v3 + 8*a22 *a33 *b33 *r4*v1*v3
3 3 2 3 3 2
+ 32*a22 *a33 *b33 *k1*n1*u1*u3*v1 + 16*a22 *a33 *b33 *k1*n1*u1*u3
3 3 2 3 3 2 4
- 32*a22 *a33 *b33 *k1*n1*u2*v1*v2 + 32*a22 *a33 *b33 *k1*n1*u3
3 3 2 2 2 3 3 2 2
+ 32*a22 *a33 *b33 *k1*n1*v1 *v2 + 16*a22 *a33 *b33 *k1*n1*v1
3 3 2 3 3 2
- 16*a22 *a33 *b33 *k12*n1*u1*u3 + 16*a22 *a33 *b33 *k12*n1*u2*u3*v2*v3
3 3 2 2 3 3 2
- 16*a22 *a33 *b33 *k12*n1*v1 - 16*a22 *a33 *b33 *k16*n1*u1*u2*v1*v2
3 3 2 2 3 3 2 2
- 16*a22 *a33 *b33 *k16*n1*u1*v1 *v2 - 16*a22 *a33 *b33 *k16*n1*u2 *v1*v3
3 3 2
- 16*a22 *a33 *b33 *k16*n1*u2*u3*v1*v2
3 3 2 2 3 3 2 3
- 16*a22 *a33 *b33 *k16*n1*u2*v1 *v3 - 16*a22 *a33 *b33 *k16*n1*v1 *v3
3 2 3 3 3 2 3
- 8*a22 *a33 *b33 *k1*n1*u1 *v3 - 8*a22 *a33 *b33 *k1*n1*u1*u2*u3*v1
3 2 3 2 3 2 3 3
+ 32*a22 *a33 *b33 *k1*n1*u1*u3 *v2 + 32*a22 *a33 *b33 *k1*n1*u1*v1
3 2 3 3 2 3 3
- 16*a22 *a33 *b33 *k1*n1*u1*v1*v3 - 16*a22 *a33 *b33 *k1*n1*u1*v2
3 2 3 3 2 3 3
+ 12*a22 *a33 *b33 *k1*n1*u1*v3 - 16*a22 *a33 *b33 *k1*n1*u2 *v1
3 2 3 3 3 2 3
+ 32*a22 *a33 *b33 *k1*n1*u3 *v3 + 12*a22 *a33 *b33 *k1*n1*v1*v3
3 2 3 3 3 2 3
+ 4*a22 *a33 *b33 *k12*n1*u1 *v3 + 4*a22 *a33 *b33 *k12*n1*u1*u2*u3*v1
3 2 3 2 3 2 3 3
- 8*a22 *a33 *b33 *k12*n1*u1*u3 *v2 - 8*a22 *a33 *b33 *k12*n1*u1*v1
3 2 3 3 2 3 3
+ 4*a22 *a33 *b33 *k12*n1*u1*v1*v3 + 4*a22 *a33 *b33 *k12*n1*u1*v2
3 2 3 3 2 3 3
- 4*a22 *a33 *b33 *k12*n1*u1*v3 + 4*a22 *a33 *b33 *k12*n1*u2 *v1
3 2 3 3 3 2 3 2
- 8*a22 *a33 *b33 *k12*n1*u3 *v3 - 4*a22 *a33 *b33 *k12*n1*u3*v2
3 2 3 3 3 2 3
+ 4*a22 *a33 *b33 *k12*n1*v1 - 4*a22 *a33 *b33 *k12*n1*v1*v3
3 2 3 2 3 2 3 2
- 4*a22 *a33 *b33 *k16*n1*u1*v1*v3 - 4*a22 *a33 *b33 *k16*n1*u2*v2*v3
3 2 3 3 3 2 3 2 2
- 4*a22 *a33 *b33 *k16*n1*u2*v3 - 8*a22 *a33 *b33 *k16*n1*v1 *v3
3 2 3 3 3 2 2 2
- 4*a22 *a33 *b33 *k16*n1*v1*v3 + 16*a22 *a33 *b33 *k1*n1 *u1*u3*v2
3 2 2 2 3 3 2 2 2
+ 16*a22 *a33 *b33 *k1*n1 *u2 - 32*a22 *a33 *b33 *k1*n1 *u2*u3*v1
3 2 2 2 3 2 2 2
- 16*a22 *a33 *b33 *k1*n1 *v1*v2 + 8*a22 *a33 *b33 *k12*n1 *u1*u3*v2
3 2 2 2 3 2 2 2 3
+ 16*a22 *a33 *b33 *k12*n1 *u1*v2 + 8*a22 *a33 *b33 *k12*n1 *u2
3 2 2 2 2 3 2 2 2
+ 8*a22 *a33 *b33 *k12*n1 *u2 *v3 + 16*a22 *a33 *b33 *k12*n1 *u2*u3*v1
3 2 2 2 3 2 2 2 2
+ 8*a22 *a33 *b33 *k16*n1 *u2*v2*v3 + 8*a22 *a33 *b33 *k16*n1 *u2*v3
3 2 2 2 2 3 2 2 2
+ 8*a22 *a33 *b33 *k16*n1 *v2 *v3 + 8*a22 *a33 *b33 *k38*n1 *u2*v1*v3
3 2 2 2 2 3 2 2 2 2
+ 8*a22 *a33 *b33 *k38*n1 *u2*v2 + 8*a22 *a33 *b33 *k38*n1 *u3 *v1
3 4 3 4 2
+ 8*a22 *a33*b33 *k1*n1*u1*u2*v1*v2 - 8*a22 *a33*b33 *k1*n1*u1*u3*v3
3 4 2 3 4 2
+ 8*a22 *a33*b33 *k1*n1*u1*v1 *v2 + 8*a22 *a33*b33 *k1*n1*u2 *v1*v3
3 4 3 4 2
+ 8*a22 *a33*b33 *k1*n1*u2*u3*v1*v2 + 8*a22 *a33*b33 *k1*n1*u2*v1 *v3
3 4 3 3 4 2
+ 8*a22 *a33*b33 *k1*n1*v1 *v3 - 8*a22 *a33*b33 *k1*n1*v1*v2 *v3
3 4 3 4 2
- 4*a22 *a33*b33 *k12*n1*u1*u2*v1*v2 - 4*a22 *a33*b33 *k12*n1*u1*v1 *v2
3 4 2 3 4
- 4*a22 *a33*b33 *k12*n1*u2 *v1*v3 - 4*a22 *a33*b33 *k12*n1*u2*u3*v1*v2
3 4 2 3 4 3
- 4*a22 *a33*b33 *k12*n1*u2*v1 *v3 - 4*a22 *a33*b33 *k12*n1*v1 *v3
3 2 3 3 5 2
- 16*a22 *a33*b33 *k1*n1 *u1*u3 + 3*a22 *b33 *k1*n1*u1*v1*v3
3 5 2 3 5 3
+ 2*a22 *b33 *k1*n1*u2*v2*v3 + 3*a22 *b33 *k1*n1*u2*v3
3 5 2 2 3 5 3
+ 6*a22 *b33 *k1*n1*v1 *v3 + 2*a22 *b33 *k1*n1*v1*v3
3 5 2 3 5 2
- a22 *b33 *k12*n1*u1*v1*v3 - a22 *b33 *k12*n1*u2*v2*v3
3 5 3 3 5 2 2
- a22 *b33 *k12*n1*u2*v3 - 2*a22 *b33 *k12*n1*v1 *v3
3 5 3 3 4 2
- a22 *b33 *k12*n1*v1*v3 - 8*a22 *b33 *k1*n1 *u2*v2*v3
3 4 2 2 3 4 2 2
- 4*a22 *b33 *k1*n1 *u2*v3 - 8*a22 *b33 *k1*n1 *v2 *v3
3 4 2 3 4 2 2
+ 2*a22 *b33 *k12*n1 *u2*v2*v3 + 4*a22 *b33 *k12*n1 *u2*v3
3 4 2 2 3 3 3
+ 2*a22 *b33 *k12*n1 *v2 *v3 + 4*a22 *b33 *k1*n1 *u1*v3
3 3 3 2 3 3 3
+ 4*a22 *b33 *k12*n1 *u1*v3 + 8*a22 *a33 *b33 *k1*n1*u1 *v3
2 3 3 2 3 3 2
+ 8*a22 *a33 *b33 *k1*n1*u1*u2*u3*v1 - 32*a22 *a33 *b33 *k1*n1*u1*u3 *v2
2 3 3 3 2 3 3
- 32*a22 *a33 *b33 *k1*n1*u1*v1 + 16*a22 *a33 *b33 *k1*n1*u1*v1*v3
2 3 3 3 2 3 3
+ 16*a22 *a33 *b33 *k1*n1*u1*v2 - 12*a22 *a33 *b33 *k1*n1*u1*v3
2 3 3 3 2 3 3 3
+ 16*a22 *a33 *b33 *k1*n1*u2 *v1 - 32*a22 *a33 *b33 *k1*n1*u3 *v3
2 3 3 2 3 3 3
- 12*a22 *a33 *b33 *k1*n1*v1*v3 - 4*a22 *a33 *b33 *k12*n1*u1 *v3
2 3 3 2 3 3 2
- 4*a22 *a33 *b33 *k12*n1*u1*u2*u3*v1 + 8*a22 *a33 *b33 *k12*n1*u1*u3 *v2
2 3 3 3 2 3 3
+ 8*a22 *a33 *b33 *k12*n1*u1*v1 - 4*a22 *a33 *b33 *k12*n1*u1*v1*v3
2 3 3 3 2 3 3
- 4*a22 *a33 *b33 *k12*n1*u1*v2 + 4*a22 *a33 *b33 *k12*n1*u1*v3
2 3 3 3 2 3 3 3
- 4*a22 *a33 *b33 *k12*n1*u2 *v1 + 8*a22 *a33 *b33 *k12*n1*u3 *v3
2 3 3 2 2 3 3 3
+ 4*a22 *a33 *b33 *k12*n1*u3*v2 - 4*a22 *a33 *b33 *k12*n1*v1
2 3 3 2 3 3 2
+ 4*a22 *a33 *b33 *k12*n1*v1*v3 + 4*a22 *a33 *b33 *k16*n1*u1*v1*v3
2 3 3 2 2 3 3 3
+ 4*a22 *a33 *b33 *k16*n1*u2*v2*v3 + 4*a22 *a33 *b33 *k16*n1*u2*v3
2 3 3 2 2 2 3 3 3
+ 8*a22 *a33 *b33 *k16*n1*v1 *v3 + 4*a22 *a33 *b33 *k16*n1*v1*v3
2 2 4 2 2 4 2
+ 8*a22 *a33 *b33 *k1*n1*u1*u2*v1*v2 - 8*a22 *a33 *b33 *k1*n1*u1*u3*v3
2 2 4 2 2 2 4 2
+ 8*a22 *a33 *b33 *k1*n1*u1*v1 *v2 + 8*a22 *a33 *b33 *k1*n1*u2 *v1*v3
2 2 4 2 2 4 2
+ 8*a22 *a33 *b33 *k1*n1*u2*u3*v1*v2 + 8*a22 *a33 *b33 *k1*n1*u2*v1 *v3
2 2 4 3 2 2 4 2
+ 8*a22 *a33 *b33 *k1*n1*v1 *v3 - 8*a22 *a33 *b33 *k1*n1*v1*v2 *v3
2 2 4 2 2 4 2
- 4*a22 *a33 *b33 *k12*n1*u1*u2*v1*v2 - 4*a22 *a33 *b33 *k12*n1*u1*v1 *v2
2 2 4 2 2 2 4
- 4*a22 *a33 *b33 *k12*n1*u2 *v1*v3 - 4*a22 *a33 *b33 *k12*n1*u2*u3*v1*v2
2 2 4 2 2 2 4 3
- 4*a22 *a33 *b33 *k12*n1*u2*v1 *v3 - 4*a22 *a33 *b33 *k12*n1*v1 *v3
2 2 3 2 2 2 2 3 2
- 8*a22 *a33 *b33 *k1*n1 *u1 *v2 + 16*a22 *a33 *b33 *k1*n1 *u2*v1*v3
2 2 3 2 2 2 2 3 2 2
- 16*a22 *a33 *b33 *k1*n1 *u3 *v1 - 16*a22 *a33 *b33 *k1*n1 *u3*v1
2 2 3 2 2 2 3 2 2
+ 8*a22 *a33 *b33 *k12*n1 *u2*v1*v3 + 4*a22 *a33 *b33 *k12*n1 *u3 *v1
2 2 3 2 2 2 2 3 2
+ 4*a22 *a33 *b33 *k12*n1 *u3*v1 - 8*a22 *a33 *b33 *k12*n1 *v2*v3
2 5 2 2 5 2
- 3*a22 *a33*b33 *k1*n1*u1*v1*v3 - 2*a22 *a33*b33 *k1*n1*u2*v2*v3
2 5 3 2 5 2 2
- 3*a22 *a33*b33 *k1*n1*u2*v3 - 6*a22 *a33*b33 *k1*n1*v1 *v3
2 5 3 2 5 2
- 2*a22 *a33*b33 *k1*n1*v1*v3 + a22 *a33*b33 *k12*n1*u1*v1*v3
2 5 2 2 5 3
+ a22 *a33*b33 *k12*n1*u2*v2*v3 + a22 *a33*b33 *k12*n1*u2*v3
2 5 2 2 2 5 3
+ 2*a22 *a33*b33 *k12*n1*v1 *v3 + a22 *a33*b33 *k12*n1*v1*v3
2 3 3 2 3 3
+ 4*a22 *a33*b33 *k1*n1 *u1*v3 + 4*a22 *a33*b33 *k12*n1 *u1*v3
3 4 3 4 2
- 8*a22*a33 *b33 *k1*n1*u1*u2*v1*v2 + 8*a22*a33 *b33 *k1*n1*u1*u3*v3
3 4 2 3 4 2
- 8*a22*a33 *b33 *k1*n1*u1*v1 *v2 - 8*a22*a33 *b33 *k1*n1*u2 *v1*v3
3 4 3 4 2
- 8*a22*a33 *b33 *k1*n1*u2*u3*v1*v2 - 8*a22*a33 *b33 *k1*n1*u2*v1 *v3
3 4 3 3 4 2
- 8*a22*a33 *b33 *k1*n1*v1 *v3 + 8*a22*a33 *b33 *k1*n1*v1*v2 *v3
3 4 3 4 2
+ 4*a22*a33 *b33 *k12*n1*u1*u2*v1*v2 + 4*a22*a33 *b33 *k12*n1*u1*v1 *v2
3 4 2 3 4
+ 4*a22*a33 *b33 *k12*n1*u2 *v1*v3 + 4*a22*a33 *b33 *k12*n1*u2*u3*v1*v2
3 4 2 3 4 3
+ 4*a22*a33 *b33 *k12*n1*u2*v1 *v3 + 4*a22*a33 *b33 *k12*n1*v1 *v3
2 5 2 2 5 2
- 3*a22*a33 *b33 *k1*n1*u1*v1*v3 - 2*a22*a33 *b33 *k1*n1*u2*v2*v3
2 5 3 2 5 2 2
- 3*a22*a33 *b33 *k1*n1*u2*v3 - 6*a22*a33 *b33 *k1*n1*v1 *v3
2 5 3 2 5 2
- 2*a22*a33 *b33 *k1*n1*v1*v3 + a22*a33 *b33 *k12*n1*u1*v1*v3
2 5 2 2 5 3
+ a22*a33 *b33 *k12*n1*u2*v2*v3 + a22*a33 *b33 *k12*n1*u2*v3
2 5 2 2 2 5 3
+ 2*a22*a33 *b33 *k12*n1*v1 *v3 + a22*a33 *b33 *k12*n1*v1*v3
2 4 2 2 4 2 2
+ 8*a22*a33 *b33 *k1*n1 *u2*v2*v3 + 4*a22*a33 *b33 *k1*n1 *u2*v3
2 4 2 2 2 4 2
+ 8*a22*a33 *b33 *k1*n1 *v2 *v3 - 2*a22*a33 *b33 *k12*n1 *u2*v2*v3
2 4 2 2 2 4 2 2
- 4*a22*a33 *b33 *k12*n1 *u2*v3 - 2*a22*a33 *b33 *k12*n1 *v2 *v3
3 5 2 3 5 2
+ 3*a33 *b33 *k1*n1*u1*v1*v3 + 2*a33 *b33 *k1*n1*u2*v2*v3
3 5 3 3 5 2 2
+ 3*a33 *b33 *k1*n1*u2*v3 + 6*a33 *b33 *k1*n1*v1 *v3
3 5 3 3 5 2
+ 2*a33 *b33 *k1*n1*v1*v3 - a33 *b33 *k12*n1*u1*v1*v3
3 5 2 3 5 3
- a33 *b33 *k12*n1*u2*v2*v3 - a33 *b33 *k12*n1*u2*v3
3 5 2 2 3 5 3 4
- 2*a33 *b33 *k12*n1*v1 *v3 - a33 *b33 *k12*n1*v1*v3 )/(16*a22 *b33*n1
3 2 2 3
*(a22 - a22 *a33 - a22*a33 + a33 ))
And again in machine readable form:
HAM=(4*a22**3*u1**2 + 4*a22**3*u2**2 - 4*a22**2*a33*u1**2 - 4*a22**2*a33*u2**2 +
4*a22**2*a33*u3**2 + 4*a22**2*b33*u3*v3 + 4*a22**2*n1*u1 - 4*a22*a33**2*u3**2 -
4*a22*a33*b33*u3*v3 - 4*a22*a33*n1*u1 - a22*b33**2*v3**2 - 2*a22*b33*n1*v1 +
a33*b33**2*v3**2 - 2*a33*b33*n1*v1)/(4*a22*(a22 - a33))$
INT=( - 32*a22**9*r4*u1**2 - 32*a22**9*r4*u1*v1 + 64*a22**8*a33*r4*u1**2 + 64*
a22**8*a33*r4*u1*v1 + 32*a22**8*b33*r4*u1*u3 + 32*a22**8*b33*r4*v1**2 - 32*a22**
8*n1*r4*u1 - 64*a22**7*a33*b33*r4*u1*u3 - 64*a22**7*a33*b33*r4*v1**2 + 32*a22**7
*a33*n1*r4*u1 - 8*a22**7*b33**2*r4*u1*v3 - 8*a22**7*b33**2*r4*v1*v3 + 16*a22**7*
b33*k1*n1*u1**4 + 32*a22**7*b33*k1*n1*u1**2*u2*u3 + 80*a22**7*b33*k1*n1*u1**2 +
16*a22**7*b33*k1*n1*u1*u2*v2**2 - 64*a22**7*b33*k1*n1*u1*u3**2 + 16*a22**7*b33*
k1*n1*u1*v1 + 16*a22**7*b33*k12*n1*u1**2 + 16*a22**7*b33*k12*n1*u1*v1*v2**2 + 16
*a22**7*b33*k12*n1*u1*v1 + 16*a22**7*b33*k12*n1*u2**2*u3**2 + 16*a22**7*b33*k16*
n1*u1**3*v1 + 16*a22**7*b33*k16*n1*u1**3*v3 + 16*a22**7*b33*k16*n1*u1*u2*u3*v1 +
16*a22**7*b33*k16*n1*u1*v2**3 + 16*a22**7*b33*k16*n1*u2**3*v1 + 16*a22**7*b33*
k16*n1*v1*v2**3 + 16*a22**7*b33*k38*n1*u1*u2**2*v2 - 32*a22**7*b33*k38*n1*u1*u3*
v1 - 16*a22**7*b33*k38*n1*u1*u3 + 16*a22**7*b33*k38*n1*u2**3*v3 + 16*a22**7*b33*
k38*n1*u2*u3*v2*v3 + 32*a22**7*b33*k38*n1*u2*v1*v2 - 16*a22**7*b33*k38*n1*v1**2
+ 16*a22**7*b33*n1*r4*v1 - 64*a22**6*a33**3*r4*u1**2 - 64*a22**6*a33**3*r4*u1*v1
+ 32*a22**6*a33**2*n1*r4*u1 + 16*a22**6*a33*b33**2*r4*u1*v3 + 16*a22**6*a33*b33
**2*r4*v1*v3 - 16*a22**6*a33*b33*k1*n1*u1**4 - 32*a22**6*a33*b33*k1*n1*u1**2*u2*
u3 - 80*a22**6*a33*b33*k1*n1*u1**2 - 16*a22**6*a33*b33*k1*n1*u1*u2*v2**2 + 64*
a22**6*a33*b33*k1*n1*u1*u3**2 - 16*a22**6*a33*b33*k1*n1*u1*v1 - 16*a22**6*a33*
b33*k12*n1*u1**2 - 16*a22**6*a33*b33*k12*n1*u1*v1*v2**2 - 16*a22**6*a33*b33*k12*
n1*u1*v1 - 16*a22**6*a33*b33*k12*n1*u2**2*u3**2 - 16*a22**6*a33*b33*k16*n1*u1**3
*v1 - 16*a22**6*a33*b33*k16*n1*u1**3*v3 - 16*a22**6*a33*b33*k16*n1*u1*u2*u3*v1 -
16*a22**6*a33*b33*k16*n1*u1*v2**3 - 16*a22**6*a33*b33*k16*n1*u2**3*v1 - 16*a22
**6*a33*b33*k16*n1*v1*v2**3 - 16*a22**6*a33*b33*k38*n1*u1*u2**2*v2 + 32*a22**6*
a33*b33*k38*n1*u1*u3*v1 + 16*a22**6*a33*b33*k38*n1*u1*u3 - 16*a22**6*a33*b33*k38
*n1*u2**3*v3 - 16*a22**6*a33*b33*k38*n1*u2*u3*v2*v3 - 32*a22**6*a33*b33*k38*n1*
u2*v1*v2 + 16*a22**6*a33*b33*k38*n1*v1**2 - 16*a22**6*a33*b33*n1*r4*v1 + 32*a22
**6*b33**2*k1*n1*u1*u3*v1 + 16*a22**6*b33**2*k1*n1*u1*u3 - 32*a22**6*b33**2*k1*
n1*u2*v1*v2 + 32*a22**6*b33**2*k1*n1*u3**4 + 32*a22**6*b33**2*k1*n1*v1**2*v2**2
+ 16*a22**6*b33**2*k1*n1*v1**2 - 16*a22**6*b33**2*k12*n1*u1*u3 + 16*a22**6*b33**
2*k12*n1*u2*u3*v2*v3 - 16*a22**6*b33**2*k12*n1*v1**2 - 16*a22**6*b33**2*k16*n1*
u1*u2*v1*v2 - 16*a22**6*b33**2*k16*n1*u1*v1**2*v2 - 16*a22**6*b33**2*k16*n1*u2**
2*v1*v3 - 16*a22**6*b33**2*k16*n1*u2*u3*v1*v2 - 16*a22**6*b33**2*k16*n1*u2*v1**2
*v3 - 16*a22**6*b33**2*k16*n1*v1**3*v3 + 32*a22**6*b33*k1*n1**2*u1**3 + 96*a22**
6*b33*k1*n1**2*u1 + 32*a22**6*b33*k1*n1**2*u2**2*u3 - 32*a22**6*b33*k1*n1**2*u2*
v1 - 16*a22**6*b33*k12*n1**2*u1**3 + 16*a22**6*b33*k12*n1**2*u1*u2*v1 - 16*a22**
6*b33*k12*n1**2*u2**2*u3 + 32*a22**6*b33*k12*n1**2*u2*v1 + 16*a22**6*b33*k16*n1
**2*u1**2*v2 + 16*a22**6*b33*k16*n1**2*u3**2*v1 + 16*a22**6*b33*k16*n1**2*u3*v1
**2 - 16*a22**6*b33*k38*n1**2*u2**3 - 16*a22**6*b33*k38*n1**2*u2*u3*v1 - 16*a22
**6*b33*k38*n1**2*u3**3 + 32*a22**5*a33**4*r4*u1**2 + 32*a22**5*a33**4*r4*u1*v1
+ 64*a22**5*a33**3*b33*r4*u1*u3 + 64*a22**5*a33**3*b33*r4*v1**2 - 32*a22**5*a33
**3*n1*r4*u1 - 16*a22**5*a33**2*b33*k1*n1*u1**4 - 32*a22**5*a33**2*b33*k1*n1*u1
**2*u2*u3 - 80*a22**5*a33**2*b33*k1*n1*u1**2 - 16*a22**5*a33**2*b33*k1*n1*u1*u2*
v2**2 + 64*a22**5*a33**2*b33*k1*n1*u1*u3**2 - 16*a22**5*a33**2*b33*k1*n1*u1*v1 -
16*a22**5*a33**2*b33*k12*n1*u1**2 - 16*a22**5*a33**2*b33*k12*n1*u1*v1*v2**2 -
16*a22**5*a33**2*b33*k12*n1*u1*v1 - 16*a22**5*a33**2*b33*k12*n1*u2**2*u3**2 - 16
*a22**5*a33**2*b33*k16*n1*u1**3*v1 - 16*a22**5*a33**2*b33*k16*n1*u1**3*v3 - 16*
a22**5*a33**2*b33*k16*n1*u1*u2*u3*v1 - 16*a22**5*a33**2*b33*k16*n1*u1*v2**3 - 16
*a22**5*a33**2*b33*k16*n1*u2**3*v1 - 16*a22**5*a33**2*b33*k16*n1*v1*v2**3 - 16*
a22**5*a33**2*b33*k38*n1*u1*u2**2*v2 + 32*a22**5*a33**2*b33*k38*n1*u1*u3*v1 + 16
*a22**5*a33**2*b33*k38*n1*u1*u3 - 16*a22**5*a33**2*b33*k38*n1*u2**3*v3 - 16*a22
**5*a33**2*b33*k38*n1*u2*u3*v2*v3 - 32*a22**5*a33**2*b33*k38*n1*u2*v1*v2 + 16*
a22**5*a33**2*b33*k38*n1*v1**2 - 16*a22**5*a33**2*b33*n1*r4*v1 - 32*a22**5*a33*
b33**2*k1*n1*u1*u3*v1 - 16*a22**5*a33*b33**2*k1*n1*u1*u3 + 32*a22**5*a33*b33**2*
k1*n1*u2*v1*v2 - 32*a22**5*a33*b33**2*k1*n1*u3**4 - 32*a22**5*a33*b33**2*k1*n1*
v1**2*v2**2 - 16*a22**5*a33*b33**2*k1*n1*v1**2 + 16*a22**5*a33*b33**2*k12*n1*u1*
u3 - 16*a22**5*a33*b33**2*k12*n1*u2*u3*v2*v3 + 16*a22**5*a33*b33**2*k12*n1*v1**2
+ 16*a22**5*a33*b33**2*k16*n1*u1*u2*v1*v2 + 16*a22**5*a33*b33**2*k16*n1*u1*v1**
2*v2 + 16*a22**5*a33*b33**2*k16*n1*u2**2*v1*v3 + 16*a22**5*a33*b33**2*k16*n1*u2*
u3*v1*v2 + 16*a22**5*a33*b33**2*k16*n1*u2*v1**2*v3 + 16*a22**5*a33*b33**2*k16*n1
*v1**3*v3 + 8*a22**5*b33**3*k1*n1*u1**3*v3 + 8*a22**5*b33**3*k1*n1*u1*u2*u3*v1 -
32*a22**5*b33**3*k1*n1*u1*u3**2*v2 - 32*a22**5*b33**3*k1*n1*u1*v1**3 + 16*a22**
5*b33**3*k1*n1*u1*v1*v3 + 16*a22**5*b33**3*k1*n1*u1*v2**3 - 12*a22**5*b33**3*k1*
n1*u1*v3 + 16*a22**5*b33**3*k1*n1*u2**3*v1 - 32*a22**5*b33**3*k1*n1*u3**3*v3 -
12*a22**5*b33**3*k1*n1*v1*v3 - 4*a22**5*b33**3*k12*n1*u1**3*v3 - 4*a22**5*b33**3
*k12*n1*u1*u2*u3*v1 + 8*a22**5*b33**3*k12*n1*u1*u3**2*v2 + 8*a22**5*b33**3*k12*
n1*u1*v1**3 - 4*a22**5*b33**3*k12*n1*u1*v1*v3 - 4*a22**5*b33**3*k12*n1*u1*v2**3
+ 4*a22**5*b33**3*k12*n1*u1*v3 - 4*a22**5*b33**3*k12*n1*u2**3*v1 + 8*a22**5*b33
**3*k12*n1*u3**3*v3 + 4*a22**5*b33**3*k12*n1*u3*v2**2 - 4*a22**5*b33**3*k12*n1*
v1**3 + 4*a22**5*b33**3*k12*n1*v1*v3 + 4*a22**5*b33**3*k16*n1*u1*v1*v3**2 + 4*
a22**5*b33**3*k16*n1*u2*v2*v3**2 + 4*a22**5*b33**3*k16*n1*u2*v3**3 + 8*a22**5*
b33**3*k16*n1*v1**2*v3**2 + 4*a22**5*b33**3*k16*n1*v1*v3**3 - 16*a22**5*b33**2*
k1*n1**2*u1*u3*v2 - 16*a22**5*b33**2*k1*n1**2*u2**3 + 32*a22**5*b33**2*k1*n1**2*
u2*u3*v1 + 16*a22**5*b33**2*k1*n1**2*v1*v2 - 8*a22**5*b33**2*k12*n1**2*u1*u3*v2
- 16*a22**5*b33**2*k12*n1**2*u1*v2 - 8*a22**5*b33**2*k12*n1**2*u2**3 - 8*a22**5*
b33**2*k12*n1**2*u2**2*v3 - 16*a22**5*b33**2*k12*n1**2*u2*u3*v1 - 8*a22**5*b33**
2*k16*n1**2*u2*v2*v3 - 8*a22**5*b33**2*k16*n1**2*u2*v3**2 - 8*a22**5*b33**2*k16*
n1**2*v2**2*v3 - 8*a22**5*b33**2*k38*n1**2*u2*v1*v3 - 8*a22**5*b33**2*k38*n1**2*
u2*v2**2 - 8*a22**5*b33**2*k38*n1**2*u3**2*v1 + 16*a22**5*b33*k1*n1**3*u1**2 -
16*a22**5*b33*k12*n1**3*u1**2 - 32*a22**4*a33**4*b33*r4*u1*u3 - 32*a22**4*a33**4
*b33*r4*v1**2 - 16*a22**4*a33**3*b33**2*r4*u1*v3 - 16*a22**4*a33**3*b33**2*r4*v1
*v3 + 16*a22**4*a33**3*b33*k1*n1*u1**4 + 32*a22**4*a33**3*b33*k1*n1*u1**2*u2*u3
+ 80*a22**4*a33**3*b33*k1*n1*u1**2 + 16*a22**4*a33**3*b33*k1*n1*u1*u2*v2**2 - 64
*a22**4*a33**3*b33*k1*n1*u1*u3**2 + 16*a22**4*a33**3*b33*k1*n1*u1*v1 + 16*a22**4
*a33**3*b33*k12*n1*u1**2 + 16*a22**4*a33**3*b33*k12*n1*u1*v1*v2**2 + 16*a22**4*
a33**3*b33*k12*n1*u1*v1 + 16*a22**4*a33**3*b33*k12*n1*u2**2*u3**2 + 16*a22**4*
a33**3*b33*k16*n1*u1**3*v1 + 16*a22**4*a33**3*b33*k16*n1*u1**3*v3 + 16*a22**4*
a33**3*b33*k16*n1*u1*u2*u3*v1 + 16*a22**4*a33**3*b33*k16*n1*u1*v2**3 + 16*a22**4
*a33**3*b33*k16*n1*u2**3*v1 + 16*a22**4*a33**3*b33*k16*n1*v1*v2**3 + 16*a22**4*
a33**3*b33*k38*n1*u1*u2**2*v2 - 32*a22**4*a33**3*b33*k38*n1*u1*u3*v1 - 16*a22**4
*a33**3*b33*k38*n1*u1*u3 + 16*a22**4*a33**3*b33*k38*n1*u2**3*v3 + 16*a22**4*a33
**3*b33*k38*n1*u2*u3*v2*v3 + 32*a22**4*a33**3*b33*k38*n1*u2*v1*v2 - 16*a22**4*
a33**3*b33*k38*n1*v1**2 + 16*a22**4*a33**3*b33*n1*r4*v1 - 32*a22**4*a33**2*b33**
2*k1*n1*u1*u3*v1 - 16*a22**4*a33**2*b33**2*k1*n1*u1*u3 + 32*a22**4*a33**2*b33**2
*k1*n1*u2*v1*v2 - 32*a22**4*a33**2*b33**2*k1*n1*u3**4 - 32*a22**4*a33**2*b33**2*
k1*n1*v1**2*v2**2 - 16*a22**4*a33**2*b33**2*k1*n1*v1**2 + 16*a22**4*a33**2*b33**
2*k12*n1*u1*u3 - 16*a22**4*a33**2*b33**2*k12*n1*u2*u3*v2*v3 + 16*a22**4*a33**2*
b33**2*k12*n1*v1**2 + 16*a22**4*a33**2*b33**2*k16*n1*u1*u2*v1*v2 + 16*a22**4*a33
**2*b33**2*k16*n1*u1*v1**2*v2 + 16*a22**4*a33**2*b33**2*k16*n1*u2**2*v1*v3 + 16*
a22**4*a33**2*b33**2*k16*n1*u2*u3*v1*v2 + 16*a22**4*a33**2*b33**2*k16*n1*u2*v1**
2*v3 + 16*a22**4*a33**2*b33**2*k16*n1*v1**3*v3 - 32*a22**4*a33**2*b33*k1*n1**2*
u1**3 - 96*a22**4*a33**2*b33*k1*n1**2*u1 - 32*a22**4*a33**2*b33*k1*n1**2*u2**2*
u3 + 32*a22**4*a33**2*b33*k1*n1**2*u2*v1 + 16*a22**4*a33**2*b33*k12*n1**2*u1**3
- 16*a22**4*a33**2*b33*k12*n1**2*u1*u2*v1 + 16*a22**4*a33**2*b33*k12*n1**2*u2**2
*u3 - 32*a22**4*a33**2*b33*k12*n1**2*u2*v1 - 16*a22**4*a33**2*b33*k16*n1**2*u1**
2*v2 - 16*a22**4*a33**2*b33*k16*n1**2*u3**2*v1 - 16*a22**4*a33**2*b33*k16*n1**2*
u3*v1**2 + 16*a22**4*a33**2*b33*k38*n1**2*u2**3 + 16*a22**4*a33**2*b33*k38*n1**2
*u2*u3*v1 + 16*a22**4*a33**2*b33*k38*n1**2*u3**3 - 8*a22**4*a33*b33**3*k1*n1*u1
**3*v3 - 8*a22**4*a33*b33**3*k1*n1*u1*u2*u3*v1 + 32*a22**4*a33*b33**3*k1*n1*u1*
u3**2*v2 + 32*a22**4*a33*b33**3*k1*n1*u1*v1**3 - 16*a22**4*a33*b33**3*k1*n1*u1*
v1*v3 - 16*a22**4*a33*b33**3*k1*n1*u1*v2**3 + 12*a22**4*a33*b33**3*k1*n1*u1*v3 -
16*a22**4*a33*b33**3*k1*n1*u2**3*v1 + 32*a22**4*a33*b33**3*k1*n1*u3**3*v3 + 12*
a22**4*a33*b33**3*k1*n1*v1*v3 + 4*a22**4*a33*b33**3*k12*n1*u1**3*v3 + 4*a22**4*
a33*b33**3*k12*n1*u1*u2*u3*v1 - 8*a22**4*a33*b33**3*k12*n1*u1*u3**2*v2 - 8*a22**
4*a33*b33**3*k12*n1*u1*v1**3 + 4*a22**4*a33*b33**3*k12*n1*u1*v1*v3 + 4*a22**4*
a33*b33**3*k12*n1*u1*v2**3 - 4*a22**4*a33*b33**3*k12*n1*u1*v3 + 4*a22**4*a33*b33
**3*k12*n1*u2**3*v1 - 8*a22**4*a33*b33**3*k12*n1*u3**3*v3 - 4*a22**4*a33*b33**3*
k12*n1*u3*v2**2 + 4*a22**4*a33*b33**3*k12*n1*v1**3 - 4*a22**4*a33*b33**3*k12*n1*
v1*v3 - 4*a22**4*a33*b33**3*k16*n1*u1*v1*v3**2 - 4*a22**4*a33*b33**3*k16*n1*u2*
v2*v3**2 - 4*a22**4*a33*b33**3*k16*n1*u2*v3**3 - 8*a22**4*a33*b33**3*k16*n1*v1**
2*v3**2 - 4*a22**4*a33*b33**3*k16*n1*v1*v3**3 + 16*a22**4*a33*b33*k1*n1**3*u1**2
- 16*a22**4*a33*b33*k12*n1**3*u1**2 - 8*a22**4*b33**4*k1*n1*u1*u2*v1*v2 + 8*a22
**4*b33**4*k1*n1*u1*u3*v3**2 - 8*a22**4*b33**4*k1*n1*u1*v1**2*v2 - 8*a22**4*b33
**4*k1*n1*u2**2*v1*v3 - 8*a22**4*b33**4*k1*n1*u2*u3*v1*v2 - 8*a22**4*b33**4*k1*
n1*u2*v1**2*v3 - 8*a22**4*b33**4*k1*n1*v1**3*v3 + 8*a22**4*b33**4*k1*n1*v1*v2**2
*v3 + 4*a22**4*b33**4*k12*n1*u1*u2*v1*v2 + 4*a22**4*b33**4*k12*n1*u1*v1**2*v2 +
4*a22**4*b33**4*k12*n1*u2**2*v1*v3 + 4*a22**4*b33**4*k12*n1*u2*u3*v1*v2 + 4*a22
**4*b33**4*k12*n1*u2*v1**2*v3 + 4*a22**4*b33**4*k12*n1*v1**3*v3 + 8*a22**4*b33**
3*k1*n1**2*u1**2*v2 - 16*a22**4*b33**3*k1*n1**2*u2*v1*v3 + 16*a22**4*b33**3*k1*
n1**2*u3**2*v1 + 16*a22**4*b33**3*k1*n1**2*u3*v1**2 - 8*a22**4*b33**3*k12*n1**2*
u2*v1*v3 - 4*a22**4*b33**3*k12*n1**2*u3**2*v1 - 4*a22**4*b33**3*k12*n1**2*u3*v1
**2 + 8*a22**4*b33**3*k12*n1**2*v2*v3 - 16*a22**4*b33**2*k1*n1**3*u1*u3 + 8*a22
**3*a33**4*b33**2*r4*u1*v3 + 8*a22**3*a33**4*b33**2*r4*v1*v3 + 32*a22**3*a33**3*
b33**2*k1*n1*u1*u3*v1 + 16*a22**3*a33**3*b33**2*k1*n1*u1*u3 - 32*a22**3*a33**3*
b33**2*k1*n1*u2*v1*v2 + 32*a22**3*a33**3*b33**2*k1*n1*u3**4 + 32*a22**3*a33**3*
b33**2*k1*n1*v1**2*v2**2 + 16*a22**3*a33**3*b33**2*k1*n1*v1**2 - 16*a22**3*a33**
3*b33**2*k12*n1*u1*u3 + 16*a22**3*a33**3*b33**2*k12*n1*u2*u3*v2*v3 - 16*a22**3*
a33**3*b33**2*k12*n1*v1**2 - 16*a22**3*a33**3*b33**2*k16*n1*u1*u2*v1*v2 - 16*a22
**3*a33**3*b33**2*k16*n1*u1*v1**2*v2 - 16*a22**3*a33**3*b33**2*k16*n1*u2**2*v1*
v3 - 16*a22**3*a33**3*b33**2*k16*n1*u2*u3*v1*v2 - 16*a22**3*a33**3*b33**2*k16*n1
*u2*v1**2*v3 - 16*a22**3*a33**3*b33**2*k16*n1*v1**3*v3 - 8*a22**3*a33**2*b33**3*
k1*n1*u1**3*v3 - 8*a22**3*a33**2*b33**3*k1*n1*u1*u2*u3*v1 + 32*a22**3*a33**2*b33
**3*k1*n1*u1*u3**2*v2 + 32*a22**3*a33**2*b33**3*k1*n1*u1*v1**3 - 16*a22**3*a33**
2*b33**3*k1*n1*u1*v1*v3 - 16*a22**3*a33**2*b33**3*k1*n1*u1*v2**3 + 12*a22**3*a33
**2*b33**3*k1*n1*u1*v3 - 16*a22**3*a33**2*b33**3*k1*n1*u2**3*v1 + 32*a22**3*a33
**2*b33**3*k1*n1*u3**3*v3 + 12*a22**3*a33**2*b33**3*k1*n1*v1*v3 + 4*a22**3*a33**
2*b33**3*k12*n1*u1**3*v3 + 4*a22**3*a33**2*b33**3*k12*n1*u1*u2*u3*v1 - 8*a22**3*
a33**2*b33**3*k12*n1*u1*u3**2*v2 - 8*a22**3*a33**2*b33**3*k12*n1*u1*v1**3 + 4*
a22**3*a33**2*b33**3*k12*n1*u1*v1*v3 + 4*a22**3*a33**2*b33**3*k12*n1*u1*v2**3 -
4*a22**3*a33**2*b33**3*k12*n1*u1*v3 + 4*a22**3*a33**2*b33**3*k12*n1*u2**3*v1 - 8
*a22**3*a33**2*b33**3*k12*n1*u3**3*v3 - 4*a22**3*a33**2*b33**3*k12*n1*u3*v2**2 +
4*a22**3*a33**2*b33**3*k12*n1*v1**3 - 4*a22**3*a33**2*b33**3*k12*n1*v1*v3 - 4*
a22**3*a33**2*b33**3*k16*n1*u1*v1*v3**2 - 4*a22**3*a33**2*b33**3*k16*n1*u2*v2*v3
**2 - 4*a22**3*a33**2*b33**3*k16*n1*u2*v3**3 - 8*a22**3*a33**2*b33**3*k16*n1*v1
**2*v3**2 - 4*a22**3*a33**2*b33**3*k16*n1*v1*v3**3 + 16*a22**3*a33**2*b33**2*k1*
n1**2*u1*u3*v2 + 16*a22**3*a33**2*b33**2*k1*n1**2*u2**3 - 32*a22**3*a33**2*b33**
2*k1*n1**2*u2*u3*v1 - 16*a22**3*a33**2*b33**2*k1*n1**2*v1*v2 + 8*a22**3*a33**2*
b33**2*k12*n1**2*u1*u3*v2 + 16*a22**3*a33**2*b33**2*k12*n1**2*u1*v2 + 8*a22**3*
a33**2*b33**2*k12*n1**2*u2**3 + 8*a22**3*a33**2*b33**2*k12*n1**2*u2**2*v3 + 16*
a22**3*a33**2*b33**2*k12*n1**2*u2*u3*v1 + 8*a22**3*a33**2*b33**2*k16*n1**2*u2*v2
*v3 + 8*a22**3*a33**2*b33**2*k16*n1**2*u2*v3**2 + 8*a22**3*a33**2*b33**2*k16*n1
**2*v2**2*v3 + 8*a22**3*a33**2*b33**2*k38*n1**2*u2*v1*v3 + 8*a22**3*a33**2*b33**
2*k38*n1**2*u2*v2**2 + 8*a22**3*a33**2*b33**2*k38*n1**2*u3**2*v1 + 8*a22**3*a33*
b33**4*k1*n1*u1*u2*v1*v2 - 8*a22**3*a33*b33**4*k1*n1*u1*u3*v3**2 + 8*a22**3*a33*
b33**4*k1*n1*u1*v1**2*v2 + 8*a22**3*a33*b33**4*k1*n1*u2**2*v1*v3 + 8*a22**3*a33*
b33**4*k1*n1*u2*u3*v1*v2 + 8*a22**3*a33*b33**4*k1*n1*u2*v1**2*v3 + 8*a22**3*a33*
b33**4*k1*n1*v1**3*v3 - 8*a22**3*a33*b33**4*k1*n1*v1*v2**2*v3 - 4*a22**3*a33*b33
**4*k12*n1*u1*u2*v1*v2 - 4*a22**3*a33*b33**4*k12*n1*u1*v1**2*v2 - 4*a22**3*a33*
b33**4*k12*n1*u2**2*v1*v3 - 4*a22**3*a33*b33**4*k12*n1*u2*u3*v1*v2 - 4*a22**3*
a33*b33**4*k12*n1*u2*v1**2*v3 - 4*a22**3*a33*b33**4*k12*n1*v1**3*v3 - 16*a22**3*
a33*b33**2*k1*n1**3*u1*u3 + 3*a22**3*b33**5*k1*n1*u1*v1*v3**2 + 2*a22**3*b33**5*
k1*n1*u2*v2*v3**2 + 3*a22**3*b33**5*k1*n1*u2*v3**3 + 6*a22**3*b33**5*k1*n1*v1**2
*v3**2 + 2*a22**3*b33**5*k1*n1*v1*v3**3 - a22**3*b33**5*k12*n1*u1*v1*v3**2 - a22
**3*b33**5*k12*n1*u2*v2*v3**2 - a22**3*b33**5*k12*n1*u2*v3**3 - 2*a22**3*b33**5*
k12*n1*v1**2*v3**2 - a22**3*b33**5*k12*n1*v1*v3**3 - 8*a22**3*b33**4*k1*n1**2*u2
*v2*v3 - 4*a22**3*b33**4*k1*n1**2*u2*v3**2 - 8*a22**3*b33**4*k1*n1**2*v2**2*v3 +
2*a22**3*b33**4*k12*n1**2*u2*v2*v3 + 4*a22**3*b33**4*k12*n1**2*u2*v3**2 + 2*a22
**3*b33**4*k12*n1**2*v2**2*v3 + 4*a22**3*b33**3*k1*n1**3*u1*v3 + 4*a22**3*b33**3
*k12*n1**3*u1*v3 + 8*a22**2*a33**3*b33**3*k1*n1*u1**3*v3 + 8*a22**2*a33**3*b33**
3*k1*n1*u1*u2*u3*v1 - 32*a22**2*a33**3*b33**3*k1*n1*u1*u3**2*v2 - 32*a22**2*a33
**3*b33**3*k1*n1*u1*v1**3 + 16*a22**2*a33**3*b33**3*k1*n1*u1*v1*v3 + 16*a22**2*
a33**3*b33**3*k1*n1*u1*v2**3 - 12*a22**2*a33**3*b33**3*k1*n1*u1*v3 + 16*a22**2*
a33**3*b33**3*k1*n1*u2**3*v1 - 32*a22**2*a33**3*b33**3*k1*n1*u3**3*v3 - 12*a22**
2*a33**3*b33**3*k1*n1*v1*v3 - 4*a22**2*a33**3*b33**3*k12*n1*u1**3*v3 - 4*a22**2*
a33**3*b33**3*k12*n1*u1*u2*u3*v1 + 8*a22**2*a33**3*b33**3*k12*n1*u1*u3**2*v2 + 8
*a22**2*a33**3*b33**3*k12*n1*u1*v1**3 - 4*a22**2*a33**3*b33**3*k12*n1*u1*v1*v3 -
4*a22**2*a33**3*b33**3*k12*n1*u1*v2**3 + 4*a22**2*a33**3*b33**3*k12*n1*u1*v3 -
4*a22**2*a33**3*b33**3*k12*n1*u2**3*v1 + 8*a22**2*a33**3*b33**3*k12*n1*u3**3*v3
+ 4*a22**2*a33**3*b33**3*k12*n1*u3*v2**2 - 4*a22**2*a33**3*b33**3*k12*n1*v1**3 +
4*a22**2*a33**3*b33**3*k12*n1*v1*v3 + 4*a22**2*a33**3*b33**3*k16*n1*u1*v1*v3**2
+ 4*a22**2*a33**3*b33**3*k16*n1*u2*v2*v3**2 + 4*a22**2*a33**3*b33**3*k16*n1*u2*
v3**3 + 8*a22**2*a33**3*b33**3*k16*n1*v1**2*v3**2 + 4*a22**2*a33**3*b33**3*k16*
n1*v1*v3**3 + 8*a22**2*a33**2*b33**4*k1*n1*u1*u2*v1*v2 - 8*a22**2*a33**2*b33**4*
k1*n1*u1*u3*v3**2 + 8*a22**2*a33**2*b33**4*k1*n1*u1*v1**2*v2 + 8*a22**2*a33**2*
b33**4*k1*n1*u2**2*v1*v3 + 8*a22**2*a33**2*b33**4*k1*n1*u2*u3*v1*v2 + 8*a22**2*
a33**2*b33**4*k1*n1*u2*v1**2*v3 + 8*a22**2*a33**2*b33**4*k1*n1*v1**3*v3 - 8*a22
**2*a33**2*b33**4*k1*n1*v1*v2**2*v3 - 4*a22**2*a33**2*b33**4*k12*n1*u1*u2*v1*v2
- 4*a22**2*a33**2*b33**4*k12*n1*u1*v1**2*v2 - 4*a22**2*a33**2*b33**4*k12*n1*u2**
2*v1*v3 - 4*a22**2*a33**2*b33**4*k12*n1*u2*u3*v1*v2 - 4*a22**2*a33**2*b33**4*k12
*n1*u2*v1**2*v3 - 4*a22**2*a33**2*b33**4*k12*n1*v1**3*v3 - 8*a22**2*a33**2*b33**
3*k1*n1**2*u1**2*v2 + 16*a22**2*a33**2*b33**3*k1*n1**2*u2*v1*v3 - 16*a22**2*a33
**2*b33**3*k1*n1**2*u3**2*v1 - 16*a22**2*a33**2*b33**3*k1*n1**2*u3*v1**2 + 8*a22
**2*a33**2*b33**3*k12*n1**2*u2*v1*v3 + 4*a22**2*a33**2*b33**3*k12*n1**2*u3**2*v1
+ 4*a22**2*a33**2*b33**3*k12*n1**2*u3*v1**2 - 8*a22**2*a33**2*b33**3*k12*n1**2*
v2*v3 - 3*a22**2*a33*b33**5*k1*n1*u1*v1*v3**2 - 2*a22**2*a33*b33**5*k1*n1*u2*v2*
v3**2 - 3*a22**2*a33*b33**5*k1*n1*u2*v3**3 - 6*a22**2*a33*b33**5*k1*n1*v1**2*v3
**2 - 2*a22**2*a33*b33**5*k1*n1*v1*v3**3 + a22**2*a33*b33**5*k12*n1*u1*v1*v3**2
+ a22**2*a33*b33**5*k12*n1*u2*v2*v3**2 + a22**2*a33*b33**5*k12*n1*u2*v3**3 + 2*
a22**2*a33*b33**5*k12*n1*v1**2*v3**2 + a22**2*a33*b33**5*k12*n1*v1*v3**3 + 4*a22
**2*a33*b33**3*k1*n1**3*u1*v3 + 4*a22**2*a33*b33**3*k12*n1**3*u1*v3 - 8*a22*a33
**3*b33**4*k1*n1*u1*u2*v1*v2 + 8*a22*a33**3*b33**4*k1*n1*u1*u3*v3**2 - 8*a22*a33
**3*b33**4*k1*n1*u1*v1**2*v2 - 8*a22*a33**3*b33**4*k1*n1*u2**2*v1*v3 - 8*a22*a33
**3*b33**4*k1*n1*u2*u3*v1*v2 - 8*a22*a33**3*b33**4*k1*n1*u2*v1**2*v3 - 8*a22*a33
**3*b33**4*k1*n1*v1**3*v3 + 8*a22*a33**3*b33**4*k1*n1*v1*v2**2*v3 + 4*a22*a33**3
*b33**4*k12*n1*u1*u2*v1*v2 + 4*a22*a33**3*b33**4*k12*n1*u1*v1**2*v2 + 4*a22*a33
**3*b33**4*k12*n1*u2**2*v1*v3 + 4*a22*a33**3*b33**4*k12*n1*u2*u3*v1*v2 + 4*a22*
a33**3*b33**4*k12*n1*u2*v1**2*v3 + 4*a22*a33**3*b33**4*k12*n1*v1**3*v3 - 3*a22*
a33**2*b33**5*k1*n1*u1*v1*v3**2 - 2*a22*a33**2*b33**5*k1*n1*u2*v2*v3**2 - 3*a22*
a33**2*b33**5*k1*n1*u2*v3**3 - 6*a22*a33**2*b33**5*k1*n1*v1**2*v3**2 - 2*a22*a33
**2*b33**5*k1*n1*v1*v3**3 + a22*a33**2*b33**5*k12*n1*u1*v1*v3**2 + a22*a33**2*
b33**5*k12*n1*u2*v2*v3**2 + a22*a33**2*b33**5*k12*n1*u2*v3**3 + 2*a22*a33**2*b33
**5*k12*n1*v1**2*v3**2 + a22*a33**2*b33**5*k12*n1*v1*v3**3 + 8*a22*a33**2*b33**4
*k1*n1**2*u2*v2*v3 + 4*a22*a33**2*b33**4*k1*n1**2*u2*v3**2 + 8*a22*a33**2*b33**4
*k1*n1**2*v2**2*v3 - 2*a22*a33**2*b33**4*k12*n1**2*u2*v2*v3 - 4*a22*a33**2*b33**
4*k12*n1**2*u2*v3**2 - 2*a22*a33**2*b33**4*k12*n1**2*v2**2*v3 + 3*a33**3*b33**5*
k1*n1*u1*v1*v3**2 + 2*a33**3*b33**5*k1*n1*u2*v2*v3**2 + 3*a33**3*b33**5*k1*n1*u2
*v3**3 + 6*a33**3*b33**5*k1*n1*v1**2*v3**2 + 2*a33**3*b33**5*k1*n1*v1*v3**3 -
a33**3*b33**5*k12*n1*u1*v1*v3**2 - a33**3*b33**5*k12*n1*u2*v2*v3**2 - a33**3*b33
**5*k12*n1*u2*v3**3 - 2*a33**3*b33**5*k12*n1*v1**2*v3**2 - a33**3*b33**5*k12*n1*
v1*v3**3)/(16*a22**4*b33*n1*(a22**3 - a22**2*a33 - a22*a33**2 + a33**3))$