Solution 23 to problem over
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Expressions
The solution is given through the following expressions:
2 2 2
r10=(2*a33 *m1*n1*n3*r214 + 2*a33 *m2*n2*n3*r214 - m1*n1*n2 *n3*r4119
3 3 2 3 2
- m2*n2 *n3*r4119)/(a33 *n1 + a33 *n2 )
2 2 2 2 2 2 3
r11=(4*a33 *m1 *n1*n2 *r214 - 6*a33 *m1*m2*n1 *n2*r214 + 2*a33 *m1*m2*n2 *r214
2 2 3 2 2 2 2 4
+ 2*a33 *m2 *n1 *r214 - 2*a33 *m2 *n1*n2 *r214 - 2*m1 *n1*n2 *r4119
2 3 2 2 5
+ 3*m1*m2*n1 *n2 *r4119 - m1*m2*n1 *n2*n3 *r4119 - m1*m2*n2 *r4119
3 2 2 3 2 2 3 2
- m1*m2*n2 *n3 *r4119 - m2 *n1 *n2 *r4119 + m2 *n1 *n3 *r4119
2 4 2 2 2 3 2
+ m2 *n1*n2 *r4119 + m2 *n1*n2 *n3 *r4119)/(2*a33 *m1*n1 *n2
3 3 3 3 3 2
+ 2*a33 *m1*n2 - 2*a33 *m2*n1 - 2*a33 *m2*n1*n2 )
2 2 4 2 2 5 2 5
r12=(2*a33 *m1 *n1 *n2*r214 - 2*a33 *m1 *n2 *r214 - 2*a33 *m1*m2*n1 *r214
2 3 2 2 4
+ 4*a33 *m1*m2*n1 *n2 *r214 + 6*a33 *m1*m2*n1*n2 *r214
2 2 4 2 2 2 3 2 4 3
- 4*a33 *m2 *n1 *n2*r214 - 4*a33 *m2 *n1 *n2 *r214 - m1 *n1 *n2 *r4119
2 4 2 2 2 3 2 2 7
- m1 *n1 *n2*n3 *r4119 - 2*m1 *n1 *n2 *n3 *r4119 + m1 *n2 *r4119
2 5 2 5 2 5 2
- m1 *n2 *n3 *r4119 + m1*m2*n1 *n2 *r4119 + m1*m2*n1 *n3 *r4119
3 4 3 2 2 6
- 2*m1*m2*n1 *n2 *r4119 + 2*m1*m2*n1 *n2 *n3 *r4119 - 3*m1*m2*n1*n2 *r4119
4 2 2 4 3 2 2 5
+ m1*m2*n1*n2 *n3 *r4119 + 2*m2 *n1 *n2 *r4119 + 2*m2 *n1 *n2 *r4119)/(
3 4 3 2 3 3 5 3 5
2*a33 *m1*n1 *n2 + 4*a33 *m1*n1 *n2 + 2*a33 *m1*n2 - 2*a33 *m2*n1
3 3 2 3 4
- 4*a33 *m2*n1 *n2 - 2*a33 *m2*n1*n2 )
2 2 3
- 2*a33 *n3*r214 + n2 *n3*r4119 - n3 *r4119
r13=----------------------------------------------
3
2*a33
2 3 2
- 2*a33 *n2*r214 + n2 *r4119 - n2*n3 *r4119
r14=----------------------------------------------
3
2*a33
2 2 2
- 2*a33 *n1*r214 + n1*n2 *r4119 - n1*n3 *r4119
r15=-------------------------------------------------
3
2*a33
2 3 2 2 3 3 2 2 3
r20=( - 2*a33 *m1 *n1 *n2*r214 - 2*a33 *m1 *n2 *r214 + 2*a33 *m1 *m2*n1 *r214
2 2 2 2 2 2
+ 2*a33 *m1 *m2*n1*n2 *r214 - 2*a33 *m1*m2 *n1 *n2*r214
2 2 3 2 3 3 2 3 2
- 2*a33 *m1*m2 *n2 *r214 + 2*a33 *m2 *n1 *r214 + 2*a33 *m2 *n1*n2 *r214
3 4 3 2 3 3 2 2
- m1 *n1 *n2*r4119 + 3*m1 *n1 *n2 *r4119 + 4*m1 *n1 *n2*n3 *r4119
2 5 2 3 2 2 3 2
+ m1 *m2*n1 *r4119 - 7*m1 *m2*n1 *n2 *r4119 - 4*m1 *m2*n1 *n3 *r4119
2 4 2 2 2
+ 4*m1 *m2*n1*n2 *r4119 + 8*m1 *m2*n1*n2 *n3 *r4119
2 4 2 2 3
+ 4*m1*m2 *n1 *n2*r4119 - 7*m1*m2 *n1 *n2 *r4119
2 2 2 2 5 2 3 2
- 8*m1*m2 *n1 *n2*n3 *r4119 + m1*m2 *n2 *r4119 + 4*m1*m2 *n2 *n3 *r4119
3 3 2 3 4 3 2 2
+ 3*m2 *n1 *n2 *r4119 - m2 *n1*n2 *r4119 - 4*m2 *n1*n2 *n3 *r4119)/(
2 4 2 2 3 2 5 2 5
2*a33 *m1*n1 *n2 + 4*a33 *m1*n1 *n2 + 2*a33 *m1*n2 - 2*a33 *m2*n1
2 3 2 2 4
- 4*a33 *m2*n1 *n2 - 2*a33 *m2*n1*n2 )
2 2 3 2
r21=(4*m1 *n1 *n2*n3*r4119 - 2*m1*m2*n1 *n3*r4119 + 6*m1*m2*n1*n2 *n3*r4119
2 2 2 3 2 4 2 2 2
- 2*m2 *n1 *n2*n3*r4119 + 2*m2 *n2 *n3*r4119)/(a33 *n1 + 2*a33 *n1 *n2
2 4
+ a33 *n2 )
2 4 2 2 2 2 4
r22=( - m1 *n1 *r4119 + 6*m1 *n1 *n2 *r4119 - m1 *n2 *r4119
3 3 2 4
- 8*m1*m2*n1 *n2*r4119 + 8*m1*m2*n1*n2 *r4119 + m2 *n1 *r4119
2 2 2 2 4 2 4 2 2 2
- 6*m2 *n1 *n2 *r4119 + m2 *n2 *r4119)/(2*a33 *n1 + 4*a33 *n1 *n2
2 4
+ 2*a33 *n2 )
2 3 2 2 2
r23=(2*m1 *n1 *n3*r4119 - 2*m1 *n1*n2 *n3*r4119 + 6*m1*m2*n1 *n2*n3*r4119
3 2 2 2 4 2 2 2
- 2*m1*m2*n2 *n3*r4119 + 4*m2 *n1*n2 *n3*r4119)/(a33 *n1 + 2*a33 *n1 *n2
2 4
+ a33 *n2 )
2 3 2 3 4
r24=(2*m1 *n1 *n2*r4119 - 2*m1 *n1*n2 *r4119 - m1*m2*n1 *r4119
2 2 4 2 3
+ 6*m1*m2*n1 *n2 *r4119 - m1*m2*n2 *r4119 - 2*m2 *n1 *n2*r4119
2 3 2 4 2 2 2 2 4
+ 2*m2 *n1*n2 *r4119)/(a33 *n1 + 2*a33 *n1 *n2 + a33 *n2 )
2 2 2 2 2 2
r26=(2*a33 *m1 *n1*n2*r214 - 2*a33 *m1*m2*n1 *r214 + 2*a33 *m1*m2*n2 *r214
2 2 2 3 2 2
- 2*a33 *m2 *n1*n2*r214 + m1 *n1*n2 *r4119 - 2*m1 *n1*n2*n3 *r4119
2 2 2 2 2 2
- 2*m1*m2*n1 *n2 *r4119 + 2*m1*m2*n1 *n3 *r4119 - 2*m1*m2*n2 *n3 *r4119
2 3 2 2 2 2 2 3
+ m2 *n1 *n2*r4119 + 2*m2 *n1*n2*n3 *r4119)/(a33 *m1*n1 *n2 + a33 *m1*n2
2 3 2 2
- a33 *m2*n1 - a33 *m2*n1*n2 )
2 2
- 2*m1*n1*n2*n3*r4119 + m2*n1 *n3*r4119 - m2*n2 *n3*r4119
r27=------------------------------------------------------------
2 2 2 2
a33 *n1 + a33 *n2
2 2
- m1*n1 *n3*r4119 + m1*n2 *n3*r4119 - 2*m2*n1*n2*n3*r4119
r28=------------------------------------------------------------
2 2 2 2
a33 *n1 + a33 *n2
2
- 2*m1*n1*n2*n3*r4119 - 2*m2*n2 *n3*r4119
r210=--------------------------------------------
2 2 2 2
a33 *n1 + a33 *n2
n2*n3*r4119
r213=-------------
2
a33
2
- 2*m1*n1 *n3*r4119 - 2*m2*n1*n2*n3*r4119
r215=--------------------------------------------
2 2 2 2
a33 *n1 + a33 *n2
2 2 2
r216=( - 2*a33 *m1*n2*r214 + 2*a33 *m2*n1*r214 - 2*m1*n1 *n2*r4119
3 3 2 2 2 2 2
+ m1*n2 *r4119 + m2*n1 *r4119 - 2*m2*n1*n2 *r4119)/(a33 *n1 + a33 *n2 )
3 2 2 3
- m1*n1 *r4119 + 3*m1*n1*n2 *r4119 - 3*m2*n1 *n2*r4119 + m2*n2 *r4119
r217=------------------------------------------------------------------------
2 2 2 2
a33 *n1 + a33 *n2
n1*n3*r4119
r218=-------------
2
a33
n1*n2*r4119
r219=-------------
2
a33
2 2 2
2*a33 *r214 + n1 *r4119 - n2 *r4119
r220=-------------------------------------
2
2*a33
3 2 2 2
r30=( - 2*m1 *n1*n3*r4119 - 2*m1 *m2*n2*n3*r4119 + 2*m1 *n1 *n3*r4116
2 3
- 2*m1*m2 *n1*n3*r4119 + 4*m1*m2*n1*n2*n3*r4116 - m1*n1 *n3*r446
2 3 2 2
- m1*n1*n2 *n3*r446 - 2*m2 *n2*n3*r4119 + 2*m2 *n2 *n3*r4116
2 3 4 2 2 4
- m2*n1 *n2*n3*r446 - m2*n2 *n3*r446)/(a33*n1 + 2*a33*n1 *n2 + a33*n2 )
3 2 2 2 2
r31=( - 4*m1 *n1*n2*r4119 + 2*m1 *m2*n1 *r4119 - 2*m1 *m2*n2 *r4119
2 2 2 3
+ 4*m1 *n1 *n2*r4116 - 4*m1*m2 *n1*n2*r4119 - 2*m1*m2*n1 *r4116
2 3 3
+ 6*m1*m2*n1*n2 *r4116 - 2*m1*n1 *n2*r446 - 2*m1*n1*n2 *r446
3 2 3 2 2 2 2 3
+ 2*m2 *n1 *r4119 - 2*m2 *n2 *r4119 - 2*m2 *n1 *n2*r4116 + 2*m2 *n2 *r4116
4 4 4 2 2 4
+ m2*n1 *r446 - m2*n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2 + 2*a33*n2 )
2 2 3
r32=(2*m1 *n1 *n3*r4116 + 4*m1*m2*n1*n2*n3*r4116 - m1*n1 *n3*r446
2 2 2 2
- m1*n1*n2 *n3*r446 + 2*m2 *n2 *n3*r4116 - m2*n1 *n2*n3*r446
3 4 2 2 4
- m2*n2 *n3*r446)/(a33*n1 + 2*a33*n1 *n2 + a33*n2 )
2 2 3 2
r33=(4*m1 *n1 *n2*r4116 - 2*m1*m2*n1 *r4116 + 6*m1*m2*n1*n2 *r4116
3 3 2 2
- 2*m1*n1 *n2*r446 - 2*m1*n1*n2 *r446 - 2*m2 *n1 *n2*r4116
2 3 4 4 4 2 2
+ 2*m2 *n2 *r4116 + m2*n1 *r446 - m2*n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2
4
+ 2*a33*n2 )
3 2 3 2 2
r34=( - 2*m1 *n1 *r4119 + 2*m1 *n2 *r4119 - 4*m1 *m2*n1*n2*r4119
2 3 2 2 2 2
+ 2*m1 *n1 *r4116 - 2*m1 *n1*n2 *r4116 - 2*m1*m2 *n1 *r4119
2 2 2 3
+ 2*m1*m2 *n2 *r4119 + 6*m1*m2*n1 *n2*r4116 - 2*m1*m2*n2 *r4116
4 4 3 2 2
- m1*n1 *r446 + m1*n2 *r446 - 4*m2 *n1*n2*r4119 + 4*m2 *n1*n2 *r4116
3 3 4 2 2
- 2*m2*n1 *n2*r446 - 2*m2*n1*n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2
4
+ 2*a33*n2 )
r35=0
2 3 2 2 2
r36=(2*m1 *n1 *r4116 - 2*m1 *n1*n2 *r4116 + 6*m1*m2*n1 *n2*r4116
3 4 4 2 2
- 2*m1*m2*n2 *r4116 - m1*n1 *r446 + m1*n2 *r446 + 4*m2 *n1*n2 *r4116
3 3 4 2 2
- 2*m2*n1 *n2*r446 - 2*m2*n1*n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2
4
+ 2*a33*n2 )
2 2 3
r37=(2*m1 *n1 *n3*r4116 + 4*m1*m2*n1*n2*n3*r4116 - m1*n1 *n3*r446
2 2 2 2
- m1*n1*n2 *n3*r446 + 2*m2 *n2 *n3*r4116 - m2*n1 *n2*n3*r446
3 4 2 2 4
- m2*n2 *n3*r446)/(a33*n1 + 2*a33*n1 *n2 + a33*n2 )
2 2 3 2
r38=(4*m1 *n1 *n2*r4116 - 2*m1*m2*n1 *r4116 + 6*m1*m2*n1*n2 *r4116
3 3 2 2
- 2*m1*n1 *n2*r446 - 2*m1*n1*n2 *r446 - 2*m2 *n1 *n2*r4116
2 3 4 4 4 2 2
+ 2*m2 *n2 *r4116 + m2*n1 *r446 - m2*n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2
4
+ 2*a33*n2 )
2 3 2 2 2
r39=(2*m1 *n1 *r4116 - 2*m1 *n1*n2 *r4116 + 6*m1*m2*n1 *n2*r4116
3 4 4 2 2
- 2*m1*m2*n2 *r4116 - m1*n1 *r446 + m1*n2 *r446 + 4*m2 *n1*n2 *r4116
3 3 4 2 2
- 2*m2*n1 *n2*r446 - 2*m2*n1*n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2
4
+ 2*a33*n2 )
2 2 2 2
r310=(10*m1 *n1 *n3*r4119 + 2*m1 *n2 *n3*r4119 + 16*m1*m2*n1*n2*n3*r4119
3 2 2 2
+ 2*m1*n1 *n3*r4116 + 2*m1*n1*n2 *n3*r4116 + 2*m2 *n1 *n3*r4119
2 2 2 3
+ 10*m2 *n2 *n3*r4119 + 2*m2*n1 *n2*n3*r4116 + 2*m2*n2 *n3*r4116
4 2 2 4 4
+ n1 *n3*r446 + 2*n1 *n2 *n3*r446 + n2 *n3*r446)/(2*a33*n1
2 2 4
+ 4*a33*n1 *n2 + 2*a33*n2 )
2 2 3 2
r311=(4*m1 *n1 *n2*r4119 - 2*m1*m2*n1 *r4119 + 6*m1*m2*n1*n2 *r4119
3 3 2 2
+ 2*m1*n1 *n2*r4116 + 2*m1*n1*n2 *r4116 - 2*m2 *n1 *n2*r4119
2 3 4 4 4 2 2
+ 2*m2 *n2 *r4119 - m2*n1 *r4116 + m2*n2 *r4116)/(a33*n1 + 2*a33*n1 *n2
4
+ a33*n2 )
2 2
- 2*m1*n1*n3*r4116 - 2*m2*n2*n3*r4116 + n1 *n3*r446 + n2 *n3*r446
r312=--------------------------------------------------------------------
2 2
2*a33*n1 + 2*a33*n2
2 3 2 2 2
r313=(2*m1 *n1 *r4119 - 2*m1 *n1*n2 *r4119 + 6*m1*m2*n1 *n2*r4119
3 4 4 2 2
- 2*m1*m2*n2 *r4119 + m1*n1 *r4116 - m1*n2 *r4116 + 4*m2 *n1*n2 *r4119
3 3 4 2 2
+ 2*m2*n1 *n2*r4116 + 2*m2*n1*n2 *r4116)/(a33*n1 + 2*a33*n1 *n2
4
+ a33*n2 )
r314=0
2 2
- 2*m1*n1*n3*r4116 - 2*m2*n2*n3*r4116 + n1 *n3*r446 + n2 *n3*r446
r315=--------------------------------------------------------------------
2 2
2*a33*n1 + 2*a33*n2
2 2
- 2*m1*n1*n3*r4119 - 2*m2*n2*n3*r4119 - n1 *n3*r4116 - n2 *n3*r4116
r316=----------------------------------------------------------------------
2 2
a33*n1 + a33*n2
r317=0
r318=0
r319=0
2 2 2
r320=(2*m1 *n2*r4119 - 2*m1*n1*n2*r4116 + 2*m2 *n2*r4119 - 2*m2*n2 *r4116
2 3 2 2
+ n1 *n2*r446 + n2 *r446)/(2*a33*n1 + 2*a33*n2 )
2*m1*n1*n3*r4116 + 2*m2*n2*n3*r4116
r321=-------------------------------------
2 2
a33*n1 + a33*n2
2 2 3
2*m1*n1*n2*r4116 - 2*m2*n1 *r4116 + n1 *n2*r446 + n2 *r446
r322=------------------------------------------------------------
2 2
2*a33*n1 + 2*a33*n2
2 2 2
r323=(4*m1 *n1*n2*n3*r4119 - 4*m1*m2*n1 *n3*r4119 + 4*m1*m2*n2 *n3*r4119
2 4 2 2 4
- 4*m2 *n1*n2*n3*r4119)/(a33*n1 + 2*a33*n1 *n2 + a33*n2 )
2 2 2 3
r324=(4*m1 *n1*n2 *r4119 - 6*m1*m2*n1 *n2*r4119 + 2*m1*m2*n2 *r4119
4 4 2 3 2 2
+ m1*n1 *r4116 - m1*n2 *r4116 + 2*m2 *n1 *r4119 - 2*m2 *n1*n2 *r4119
3 3 4 2 2
+ 2*m2*n1 *n2*r4116 + 2*m2*n1*n2 *r4116)/(a33*n1 + 2*a33*n1 *n2
4
+ a33*n2 )
2 2 2 3 3
r325=(4*m1 *n1 *n2*r4119 - 4*m1 *n2 *r4119 - 4*m1*m2*n1 *r4119
2 3 3
+ 12*m1*m2*n1*n2 *r4119 - 2*m1*n1 *n2*r4116 - 2*m1*n1*n2 *r4116
2 2 2 2 4 4
- 8*m2 *n1 *n2*r4119 - 2*m2*n1 *n2 *r4116 - 2*m2*n2 *r4116 + n1 *n2*r446
2 3 5 4 2 2 4
+ 2*n1 *n2 *r446 + n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2 + 2*a33*n2 )
2 2 3
- 2*m1*n1*n2*r4119 - 2*m2*n2 *r4119 - n1 *n2*r4116 - n2 *r4116
r326=-----------------------------------------------------------------
2 2
a33*n1 + a33*n2
- n3*r4116
r327=-------------
a33
- 2*m1*n2*n3*r4119 + 2*m2*n1*n3*r4119
r328=----------------------------------------
2 2
a33*n1 + a33*n2
r329=0
2*m1*n1*n3*r4119 + 2*m2*n2*n3*r4119
r330=-------------------------------------
2 2
a33*n1 + a33*n2
2 2 2 3
2*m1*n1*n2*r4119 - m2*n1 *r4119 + m2*n2 *r4119 - n1 *n2*r4116 - n2 *r4116
r331=---------------------------------------------------------------------------
2 2
a33*n1 + a33*n2
2 2
m1*n1 *r4119 - 3*m1*n2 *r4119 + 4*m2*n1*n2*r4119
r332=--------------------------------------------------
2 2
a33*n1 + a33*n2
- n3*r4119
r333=-------------
a33
- n2*r4119
r334=-------------
a33
2 2 2
r335=(2*m1 *n1*r4119 - 2*m1*n1 *r4116 + 2*m2 *n1*r4119 - 2*m2*n1*n2*r4116
3 2 2 2
+ n1 *r446 + n1*n2 *r446)/(2*a33*n1 + 2*a33*n2 )
2 2 2
r336=( - 4*m1 *n1*n2*n3*r4119 + 4*m1*m2*n1 *n3*r4119 - 4*m1*m2*n2 *n3*r4119
2 4 2 2 4
+ 4*m2 *n1*n2*n3*r4119)/(a33*n1 + 2*a33*n1 *n2 + a33*n2 )
2 2 2 3
r337=( - 8*m1 *n1*n2 *r4119 + 12*m1*m2*n1 *n2*r4119 - 4*m1*m2*n2 *r4119
4 2 2 2 3
- 2*m1*n1 *r4116 - 2*m1*n1 *n2 *r4116 - 4*m2 *n1 *r4119
2 2 3 3 5
+ 4*m2 *n1*n2 *r4119 - 2*m2*n1 *n2*r4116 - 2*m2*n1*n2 *r4116 + n1 *r446
3 2 4 4 2 2 4
+ 2*n1 *n2 *r446 + n1*n2 *r446)/(2*a33*n1 + 4*a33*n1 *n2 + 2*a33*n2 )
2*m1*n1*n3*r4116 + 2*m2*n2*n3*r4116
r338=-------------------------------------
2 2
a33*n1 + a33*n2
2 2 2 3 3
r339=( - 2*m1 *n1 *n2*r4119 + 2*m1 *n2 *r4119 + 2*m1*m2*n1 *r4119
2 3 3
- 6*m1*m2*n1*n2 *r4119 + 2*m1*n1 *n2*r4116 + 2*m1*n1*n2 *r4116
2 2 4 4 4
+ 4*m2 *n1 *n2*r4119 - m2*n1 *r4116 + m2*n2 *r4116)/(a33*n1
2 2 4
+ 2*a33*n1 *n2 + a33*n2 )
2 3 2
- 2*m1*n2 *r4116 + 2*m2*n1*n2*r4116 + n1 *r446 + n1*n2 *r446
r340=---------------------------------------------------------------
2 2
2*a33*n1 + 2*a33*n2
2 3 2
- 2*m1*n1 *r4119 - 2*m2*n1*n2*r4119 - n1 *r4116 - n1*n2 *r4116
r341=-----------------------------------------------------------------
2 2
a33*n1 + a33*n2
2*m1*n2*n3*r4119 - 2*m2*n1*n3*r4119
r342=-------------------------------------
2 2
a33*n1 + a33*n2
- n3*r4116
r343=-------------
a33
r344=0
r345=0
2 3 2
2*m1*n2 *r4119 - 2*m2*n1*n2*r4119 - n1 *r4116 - n1*n2 *r4116
r346=--------------------------------------------------------------
2 2
a33*n1 + a33*n2
2 2 3
- 2*m1*n1*n2*r4119 + 2*m2*n1 *r4119 - n1 *n2*r4116 - n2 *r4116
r347=-----------------------------------------------------------------
2 2
a33*n1 + a33*n2
r348=0
- n1*r4119
r349=-------------
a33
2*m1*n1*n3*r4119 + 2*m2*n2*n3*r4119
r350=-------------------------------------
2 2
a33*n1 + a33*n2
2 2
4*m1*n1*n2*r4119 - 3*m2*n1 *r4119 + m2*n2 *r4119
r351=--------------------------------------------------
2 2
a33*n1 + a33*n2
2 2 3 2
m1*n1 *r4119 - m1*n2 *r4119 + 2*m2*n1*n2*r4119 - n1 *r4116 - n1*n2 *r4116
r352=---------------------------------------------------------------------------
2 2
a33*n1 + a33*n2
- n3*r4119
r353=-------------
a33
- n2*r4119
r354=-------------
a33
- n1*r4119
r355=-------------
a33
4 3 2 2 2
r40=(m1 *r4119 - 2*m1 *n1*r4116 + 2*m1 *m2 *r4119 - 2*m1 *m2*n2*r4116
2 2 2 2 2 4
+ m1 *n1 *r446 + m1 *n2 *r446 - 2*m1*m2 *n1*r4116 + m2 *r4119
3 2 2 2 2 4 2 2 4
- 2*m2 *n2*r4116 + m2 *n1 *r446 + m2 *n2 *r446)/(2*n1 + 4*n1 *n2 + 2*n2
)
r41=0
3 2 2 2 2 2
r42=( - 2*m1 *n1*r4116 - 2*m1 *m2*n2*r4116 + m1 *n1 *r446 + m1 *n2 *r446
2 3 2 2 2 2 4
- 2*m1*m2 *n1*r4116 - 2*m2 *n2*r4116 + m2 *n1 *r446 + m2 *n2 *r446)/(2*n1
2 2 4
+ 4*n1 *n2 + 2*n2 )
r43=0
r44=0
r45=0
r46=0
r47=0
r48=0
3 2 2 2 2 2
r49=( - 2*m1 *n1*r4116 - 2*m1 *m2*n2*r4116 + m1 *n1 *r446 + m1 *n2 *r446
2 3 2 2 2 2 4
- 2*m1*m2 *n1*r4116 - 2*m2 *n2*r4116 + m2 *n1 *r446 + m2 *n2 *r446)/(2*n1
2 2 4
+ 4*n1 *n2 + 2*n2 )
r410=0
r411=0
r412=0
r413=0
3 2 2 2 2 2
r415=( - 2*m1 *n1*r4119 - 2*m1 *m2*n2*r4119 + m1 *n1 *r4116 - m1 *n2 *r4116
2 3 2
- 2*m1*m2 *n1*r4119 + 4*m1*m2*n1*n2*r4116 - m1*n1 *r446 - m1*n1*n2 *r446
3 2 2 2 2 2
- 2*m2 *n2*r4119 - m2 *n1 *r4116 + m2 *n2 *r4116 - m2*n1 *n2*r446
3 4 2 2 4
- m2*n2 *r446)/(n1 + 2*n1 *n2 + n2 )
r416=0
2 2 3 2
r417=(2*m1 *n1 *r4116 + 4*m1*m2*n1*n2*r4116 - m1*n1 *r446 - m1*n1*n2 *r446
2 2 2 3 4 2 2 4
+ 2*m2 *n2 *r4116 - m2*n1 *n2*r446 - m2*n2 *r446)/(n1 + 2*n1 *n2 + n2 )
r418=0
r419=0
r420=0
r421=0
2 2 3 2
r422=(2*m1 *n1 *r4116 + 4*m1*m2*n1*n2*r4116 - m1*n1 *r446 - m1*n1*n2 *r446
2 2 2 3 4 2 2 4
+ 2*m2 *n2 *r4116 - m2*n1 *n2*r446 - m2*n2 *r446)/(n1 + 2*n1 *n2 + n2 )
r423=0
r424=0
2 2 3 2
r425=(4*m1 *n1 *r4119 + 8*m1*m2*n1*n2*r4119 + 2*m1*n1 *r4116 + 2*m1*n1*n2 *r4116
2 2 2 3 4
+ 4*m2 *n2 *r4119 + 2*m2*n1 *n2*r4116 + 2*m2*n2 *r4116 + n1 *r446
2 2 4 4 2 2 4
+ 2*n1 *n2 *r446 + n2 *r446)/(2*n1 + 4*n1 *n2 + 2*n2 )
r426=0
r427=0
r428=0
r429=0
r431=0
r432=0
r433=0
r435=0
2 2
- m1 *r4116 - m2 *r4116
r436=--------------------------
2 2
n1 + n2
r437=0
r438=0
3 2 2
r439=( - 2*m1 *n2*r4119 + 2*m1 *m2*n1*r4119 + 2*m1 *n1*n2*r4116
2 2 2
- 2*m1*m2 *n2*r4119 - 2*m1*m2*n1 *r4116 + 2*m1*m2*n2 *r4116
2 3 3 2
- m1*n1 *n2*r446 - m1*n2 *r446 + 2*m2 *n1*r4119 - 2*m2 *n1*n2*r4116
3 2 4 2 2 4
+ m2*n1 *r446 + m2*n1*n2 *r446)/(n1 + 2*n1 *n2 + n2 )
r440=0
2 2 2 2
r441=(2*m1 *n1*n2*r4116 - 2*m1*m2*n1 *r4116 + 2*m1*m2*n2 *r4116 - m1*n1 *n2*r446
3 2 3 2 4
- m1*n2 *r446 - 2*m2 *n1*n2*r4116 + m2*n1 *r446 + m2*n1*n2 *r446)/(n1
2 2 4
+ 2*n1 *n2 + n2 )
r442=0
2 2 2 2
r444=(2*m1 *n1*n2*r4116 - 2*m1*m2*n1 *r4116 + 2*m1*m2*n2 *r4116 - m1*n1 *n2*r446
3 2 3 2 4
- m1*n2 *r446 - 2*m2 *n1*n2*r4116 + m2*n1 *r446 + m2*n1*n2 *r446)/(n1
2 2 4
+ 2*n1 *n2 + n2 )
r445=0
r447=0
2 2 2
r448=(4*m1 *n1*n2*r4119 - 4*m1*m2*n1 *r4119 + 4*m1*m2*n2 *r4119
2 3 2 3
+ 2*m1*n1 *n2*r4116 + 2*m1*n2 *r4116 - 4*m2 *n1*n2*r4119 - 2*m2*n1 *r4116
2 4 2 2 4
- 2*m2*n1*n2 *r4116)/(n1 + 2*n1 *n2 + n2 )
r449=0
r450=0
r451=0
r453=0
r454=0
2 2 2
r455=( - 2*m1 *r4119 + 2*m1*n1*r4116 - 2*m2 *r4119 + 2*m2*n2*r4116 - n1 *r446
2 2 2
- n2 *r446)/(2*n1 + 2*n2 )
r456=0
r458=0
2*m1*n2*r4116 - 2*m2*n1*r4116
r459=-------------------------------
2 2
n1 + n2
2 2 3 2
r460=(4*m1 *n2 *r4119 - 8*m1*m2*n1*n2*r4119 + 2*m1*n1 *r4116 + 2*m1*n1*n2 *r4116
2 2 2 3 4
+ 4*m2 *n1 *r4119 + 2*m2*n1 *n2*r4116 + 2*m2*n2 *r4116 - n1 *r446
2 2 4 4 2 2 4
- 2*n1 *n2 *r446 - n2 *r446)/(2*n1 + 4*n1 *n2 + 2*n2 )
2 2
2*m1*n1*r4119 + 2*m2*n2*r4119 + n1 *r4116 + n2 *r4116
r461=-------------------------------------------------------
2 2
n1 + n2
r462=0
r463=0
r464=0
r465=0
r466=r4116
2*m1*n2*r4119 - 2*m2*n1*r4119
r467=-------------------------------
2 2
n1 + n2
r468=0
r4119
r469=-------
2
r470=0
3 2 2 2
r471=(2*m1 *n2*r4119 - 2*m1 *m2*n1*r4119 - 2*m1 *n1*n2*r4116 + 2*m1*m2 *n2*r4119
2 2 2 3
+ 2*m1*m2*n1 *r4116 - 2*m1*m2*n2 *r4116 + m1*n1 *n2*r446 + m1*n2 *r446
3 2 3 2 4
- 2*m2 *n1*r4119 + 2*m2 *n1*n2*r4116 - m2*n1 *r446 - m2*n1*n2 *r446)/(n1
2 2 4
+ 2*n1 *n2 + n2 )
r472=0
2 2 2
r473=( - 2*m1 *n1*n2*r4116 + 2*m1*m2*n1 *r4116 - 2*m1*m2*n2 *r4116
2 3 2 3
+ m1*n1 *n2*r446 + m1*n2 *r446 + 2*m2 *n1*n2*r4116 - m2*n1 *r446
2 4 2 2 4
- m2*n1*n2 *r446)/(n1 + 2*n1 *n2 + n2 )
2 2
- m1 *r4116 - m2 *r4116
r474=--------------------------
2 2
n1 + n2
r475=0
r476=0
r477=0
2 2 2
r478=( - 2*m1 *n1*n2*r4116 + 2*m1*m2*n1 *r4116 - 2*m1*m2*n2 *r4116
2 3 2 3
+ m1*n1 *n2*r446 + m1*n2 *r446 + 2*m2 *n1*n2*r4116 - m2*n1 *r446
2 4 2 2 4
- m2*n1*n2 *r446)/(n1 + 2*n1 *n2 + n2 )
r479=0
r480=0
2 2 2
r481=( - 4*m1 *n1*n2*r4119 + 4*m1*m2*n1 *r4119 - 4*m1*m2*n2 *r4119
2 3 2 3
- 2*m1*n1 *n2*r4116 - 2*m1*n2 *r4116 + 4*m2 *n1*n2*r4119 + 2*m2*n1 *r4116
2 4 2 2 4
+ 2*m2*n1*n2 *r4116)/(n1 + 2*n1 *n2 + n2 )
r482=0
r483=r446
r484=0
r485=0
r486=0
r487=0
r488=0
r489=0
r490=0
r491=0
- 2*m1*n2*r4116 + 2*m2*n1*r4116
r492=----------------------------------
2 2
n1 + n2
r493=0
2 2 3
r494=( - 4*m1 *n2 *r4119 + 8*m1*m2*n1*n2*r4119 - 2*m1*n1 *r4116
2 2 2 2
- 2*m1*n1*n2 *r4116 - 4*m2 *n1 *r4119 - 2*m2*n1 *n2*r4116
3 4 2 2 4 4 2 2
- 2*m2*n2 *r4116 + n1 *r446 + 2*n1 *n2 *r446 + n2 *r446)/(n1 + 2*n1 *n2
4
+ n2 )
2*m1*n2*r4116 - 2*m2*n1*r4116
r495=-------------------------------
2 2
n1 + n2
r496=0
r497=0
r498=0
r499=0
r4100=0
- 2*m1*n2*r4119 + 2*m2*n1*r4119
r4101=----------------------------------
2 2
n1 + n2
r4102=r4116
r4103=0
r4104=0
2 2 2
r4105=( - 2*m1 *r4119 + 2*m1*n1*r4116 - 2*m2 *r4119 + 2*m2*n2*r4116 - n1 *r446
2 2 2
- n2 *r446)/(2*n1 + 2*n2 )
r4106=0
2 2 3
r4107=(4*m1 *n2 *r4119 - 8*m1*m2*n1*n2*r4119 + 2*m1*n1 *r4116
2 2 2 2
+ 2*m1*n1*n2 *r4116 + 4*m2 *n1 *r4119 + 2*m2*n1 *n2*r4116
3 4 2 2 4 4
+ 2*m2*n2 *r4116 - n1 *r446 - 2*n1 *n2 *r446 - n2 *r446)/(2*n1
2 2 4
+ 4*n1 *n2 + 2*n2 )
r4108=0
- 2*m1*n2*r4116 + 2*m2*n1*r4116
r4109=----------------------------------
2 2
n1 + n2
r4110=0
2 2
2*m1*n1*r4119 + 2*m2*n2*r4119 + n1 *r4116 + n2 *r4116
r4111=-------------------------------------------------------
2 2
n1 + n2
r4112=0
r4113=0
r4114=0
r4115=0
2*m1*n2*r4119 - 2*m2*n1*r4119
r4117=-------------------------------
2 2
n1 + n2
r4118=0
r4120=0
- 2*m1*n2*r4119 + 2*m2*n1*r4119
r4121=----------------------------------
2 2
n1 + n2
r4122=r4116
r4123=0
r4124=0
r4119
r4125=-------
2
m3=0
c33=0
c23=0
c22=0
c13=0
c12=0
c11=0
b33=0
b32=0
b31=0
b23=0
b22=0
b21=0
b13=0
b12=0
b11=0
a23=0
a22=0
a13=0
a12=0
a11=0
2 2 2 2
2*a33 *m1*n2*r214 - 2*a33 *m2*n1*r214 - m1*n1 *n2*r4119 - m2*n1*n2 *r4119
r212=---------------------------------------------------------------------------
2 2 2 2
a33 *n1 + a33 *n2
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:
r214, r4116, r446, r4119, m1, m2, n3, n1, n2, a33
Inequalities
In the following not identically vanishing expressions are shown.
Any auxiliary variables g00?? are used to express that at least
one of their coefficients must not vanish, e.g. g0019*p4 + g0020*p3
means that either p4 or p3 or both are non-vanishing.
{n3,n1 + i*n2,n1 - i*n2,n1,a33,r4119}
Relevance for the application:
The new Hamiltonian in form of a list of vanishing expressions:
{a11,
a12,
a13,
a22,
a23,
b11,
b12,
b13,
b21,
b22,
b23,
b31,
b32,
b33,
c11,
c12,
c13,
c22,
c23,
c33,
m3}$
The system of equations related to the Hamiltonian HAM:
2
HAM=u1*n1 + u2*n2 + u3 *a33 + u3*n3 + v1*m1 + v2*m2
has apart from the Hamiltonian and Casimirs the following 4 first integrals:
4 3 4 3 2 3 3 5 3 5
FI=u1 *(a33 *m1*n1 *n2 + 2*a33 *m1*n1 *n2 + a33 *m1*n2 - a33 *m2*n1
3 3 2 3 4 3 3 2 2 2
- 2*a33 *m2*n1 *n2 - a33 *m2*n1*n2 ) + u1 *v2*( - 4*a33 *m1 *n1 *n2
3 2 4 3 3 3 3
- 4*a33 *m1 *n2 + 8*a33 *m1*m2*n1 *n2 + 8*a33 *m1*m2*n1*n2
3 2 4 3 2 2 2 3 2 5
- 4*a33 *m2 *n1 - 4*a33 *m2 *n1 *n2 ) + u1 *( - 2*a33 *m1*n1 *n2
2 3 3 2 5 2 6
- 4*a33 *m1*n1 *n2 - 2*a33 *m1*n1*n2 + 2*a33 *m2*n1
2 4 2 2 2 4 2 2 3 4
+ 4*a33 *m2*n1 *n2 + 2*a33 *m2*n1 *n2 ) + u1 *u2 *(2*a33 *m1*n1 *n2
3 2 3 3 5 3 5 3 3 2
+ 4*a33 *m1*n1 *n2 + 2*a33 *m1*n2 - 2*a33 *m2*n1 - 4*a33 *m2*n1 *n2
3 4 2 3 2 2 2 3 2 4
- 2*a33 *m2*n1*n2 ) + u1 *u2*v1*(4*a33 *m1 *n1 *n2 + 4*a33 *m1 *n2
3 3 3 3 3 2 4
- 8*a33 *m1*m2*n1 *n2 - 8*a33 *m1*m2*n1*n2 + 4*a33 *m2 *n1
3 2 2 2 2 2 4 2 2 2 4
+ 4*a33 *m2 *n1 *n2 ) + u1 *u2*( - 2*a33 *m1*n1 *n2 - 4*a33 *m1*n1 *n2
2 6 2 5 2 3 3 2 5
- 2*a33 *m1*n2 + 2*a33 *m2*n1 *n2 + 4*a33 *m2*n1 *n2 + 2*a33 *m2*n1*n2
2 3 2 3 3 2 3 3 4
) + u1 *u3*v3*(4*a33 *m1 *n1 *n2 + 4*a33 *m1 *n1*n2 - 4*a33 *m1*m2*n1
3 4 3 2 3 3 2 3 2
+ 4*a33 *m1*m2*n2 - 4*a33 *m2 *n1 *n2 - 4*a33 *m2 *n1*n2 ) + u1 *u3*(
2 4 2 2 3 2 5
- 2*a33 *m1*n1 *n2*n3 - 4*a33 *m1*n1 *n2 *n3 - 2*a33 *m1*n2 *n3
2 5 2 3 2 2 4 2
+ 2*a33 *m2*n1 *n3 + 4*a33 *m2*n1 *n2 *n3 + 2*a33 *m2*n1*n2 *n3) + u1 *v1
2 2 4 2 2 5 2 5
*(2*a33 *m1 *n1 *n2 - 2*a33 *m1 *n2 - 2*a33 *m1*m2*n1
2 3 2 2 4 2 2 4
+ 4*a33 *m1*m2*n1 *n2 + 6*a33 *m1*m2*n1*n2 - 4*a33 *m2 *n1 *n2
2 2 2 3 2 2 3 3 3 3 2 2
- 4*a33 *m2 *n1 *n2 ) + u1 *v2 *(4*a33 *m1 *n2 - 12*a33 *m1 *m2*n1*n2
3 2 2 3 3 3 2 2 2 3 2
+ 12*a33 *m1*m2 *n1 *n2 - 4*a33 *m2 *n1 ) + u1 *v2*(8*a33 *m1 *n1 *n2
2 2 4 2 4 2 2 3
+ 8*a33 *m1 *n1*n2 - 14*a33 *m1*m2*n1 *n2 - 12*a33 *m1*m2*n1 *n2
2 5 2 2 5 2 2 3 2
+ 2*a33 *m1*m2*n2 + 6*a33 *m2 *n1 + 4*a33 *m2 *n1 *n2
2 2 4 2 2 3 3 2 3 3 3
- 2*a33 *m2 *n1*n2 ) + u1 *v3 *( - 2*a33 *m1 *n1 *n2 - 2*a33 *m1 *n2
3 2 3 3 2 2 3 2 2
+ 2*a33 *m1 *m2*n1 + 2*a33 *m1 *m2*n1*n2 - 2*a33 *m1*m2 *n1 *n2
3 2 3 3 3 3 3 3 2 2
- 2*a33 *m1*m2 *n2 + 2*a33 *m2 *n1 + 2*a33 *m2 *n1*n2 ) + u1 *v3*(
2 2 3 2 2 3 2 4
4*a33 *m1 *n1 *n2*n3 + 4*a33 *m1 *n1*n2 *n3 - 4*a33 *m1*m2*n1 *n3
2 4 2 2 3 2 2 3
+ 4*a33 *m1*m2*n2 *n3 - 4*a33 *m2 *n1 *n2*n3 - 4*a33 *m2 *n1*n2 *n3) +
2 6 4 3 2 5 7
u1 *(a33*m1*n1 *n2 + a33*m1*n1 *n2 - a33*m1*n1 *n2 - a33*m1*n2
7 5 2 3 4 6
- a33*m2*n1 - a33*m2*n1 *n2 + a33*m2*n1 *n2 + a33*m2*n1*n2 ) + u1
2 3 2 2 2 3 2 4 3 3
*u2 *v2*( - 4*a33 *m1 *n1 *n2 - 4*a33 *m1 *n2 + 8*a33 *m1*m2*n1 *n2
3 3 3 2 4 3 2 2 2
+ 8*a33 *m1*m2*n1*n2 - 4*a33 *m2 *n1 - 4*a33 *m2 *n1 *n2 ) + u1
2 2 5 2 3 3 2 5
*u2 *( - 2*a33 *m1*n1 *n2 - 4*a33 *m1*n1 *n2 - 2*a33 *m1*n1*n2
2 6 2 4 2 2 2 4
+ 2*a33 *m2*n1 + 4*a33 *m2*n1 *n2 + 2*a33 *m2*n1 *n2 ) + u1*u2*v1*v2
3 3 3 3 2 2 3 2 2
*( - 8*a33 *m1 *n2 + 24*a33 *m1 *m2*n1*n2 - 24*a33 *m1*m2 *n1 *n2
3 3 3 2 2 3 2 2 2 4
+ 8*a33 *m2 *n1 ) + u1*u2*v1*( - 4*a33 *m1 *n1 *n2 - 4*a33 *m1 *n1*n2
2 4 2 2 3 2 2 5
+ 8*a33 *m1*m2*n1 *n2 + 8*a33 *m1*m2*n1 *n2 - 4*a33 *m2 *n1
2 2 3 2 2 2 2 3 2 2 5
- 4*a33 *m2 *n1 *n2 ) + u1*u2*v2*(4*a33 *m1 *n1 *n2 + 4*a33 *m1 *n2
2 3 2 2 4 2 2 4
- 8*a33 *m1*m2*n1 *n2 - 8*a33 *m1*m2*n1*n2 + 4*a33 *m2 *n1 *n2
2 2 2 3 5 2 3 4
+ 4*a33 *m2 *n1 *n2 ) + u1*u2*(2*a33*m1*n1 *n2 + 4*a33*m1*n1 *n2
6 6 4 3 2 5
+ 2*a33*m1*n1*n2 - 2*a33*m2*n1 *n2 - 4*a33*m2*n1 *n2 - 2*a33*m2*n1 *n2
3 3 2 3 2 2
) + u1*u3*v2*v3*( - 8*a33 *m1 *n1*n2 + 16*a33 *m1 *m2*n1 *n2
3 2 3 3 2 3 3 2 2
- 8*a33 *m1 *m2*n2 - 8*a33 *m1*m2 *n1 + 16*a33 *m1*m2 *n1*n2
3 3 2 2 2 2 2
- 8*a33 *m2 *n1 *n2) + u1*u3*v2*(4*a33 *m1 *n1 *n2 *n3
2 2 4 2 3 2 3
+ 4*a33 *m1 *n2 *n3 - 8*a33 *m1*m2*n1 *n2*n3 - 8*a33 *m1*m2*n1*n2 *n3
2 2 4 2 2 2 2
+ 4*a33 *m2 *n1 *n3 + 4*a33 *m2 *n1 *n2 *n3) + u1*u3*v3*(
2 2 4 2 2 2 3 2 5
- 4*a33 *m1 *n1 *n2 - 4*a33 *m1 *n1 *n2 + 4*a33 *m1*m2*n1
2 4 2 2 4 2 2 2 3
- 4*a33 *m1*m2*n1*n2 + 4*a33 *m2 *n1 *n2 + 4*a33 *m2 *n1 *n2 ) + u1*u3*(
5 3 3 5
2*a33*m1*n1 *n2*n3 + 4*a33*m1*n1 *n2 *n3 + 2*a33*m1*n1*n2 *n3
6 4 2 2 4
- 2*a33*m2*n1 *n3 - 4*a33*m2*n1 *n2 *n3 - 2*a33*m2*n1 *n2 *n3) + u1*v1*v2
2 3 2 2 2 3 4 2 2 3
*( - 4*a33 *m1 *n1 *n2 + 4*a33 *m1 *n2 + 8*a33 *m1 *m2*n1 *n2
2 2 3 2 2 4 2 2 2 2
- 16*a33 *m1 *m2*n1*n2 - 4*a33 *m1*m2 *n1 + 20*a33 *m1*m2 *n1 *n2
2 3 3 2 5 2 3 3
- 8*a33 *m2 *n1 *n2) + u1*v1*( - 2*a33*m1 *n1 *n2 + 4*a33*m1 *n1 *n2
2 5 6 4 2
+ 6*a33*m1 *n1*n2 + 2*a33*m1*m2*n1 - 10*a33*m1*m2*n1 *n2
2 4 6 2 5
- 10*a33*m1*m2*n1 *n2 + 2*a33*m1*m2*n2 + 6*a33*m2 *n1 *n2
2 3 3 2 5 2 2 3 3
+ 4*a33*m2 *n1 *n2 - 2*a33*m2 *n1*n2 ) + u1*v2 *( - 8*a33 *m1 *n1*n2
2 2 2 2 2 2 4 2 2 3
+ 20*a33 *m1 *m2*n1 *n2 - 4*a33 *m1 *m2*n2 - 16*a33 *m1*m2 *n1 *n2
2 2 3 2 3 4 2 3 2 2 2
+ 8*a33 *m1*m2 *n1*n2 + 4*a33 *m2 *n1 - 4*a33 *m2 *n1 *n2 ) + u1*v2*v3
3 4 2 3 3 3 2 2 2
*(4*a33 *m1 *n2 - 8*a33 *m1 *m2*n1*n2 + 4*a33 *m1 *m2 *n1
3 2 2 2 3 3 3 4 2
+ 4*a33 *m1 *m2 *n2 - 8*a33 *m1*m2 *n1*n2 + 4*a33 *m2 *n1 ) + u1*v2*v3*(
2 3 2 2 2 2 2 2 3
- 8*a33 *m1 *n1*n2 *n3 + 16*a33 *m1 *m2*n1 *n2*n3 - 8*a33 *m1 *m2*n2 *n3
2 2 3 2 2 2 2 3 2
- 8*a33 *m1*m2 *n1 *n3 + 16*a33 *m1*m2 *n1*n2 *n3 - 8*a33 *m2 *n1 *n2*n3)
2 4 2 2 2 4 2 6
+ u1*v2*( - 4*a33*m1 *n1 *n2 - 2*a33*m1 *n1 *n2 + 2*a33*m1 *n2
5 5 2 6
+ 6*a33*m1*m2*n1 *n2 - 6*a33*m1*m2*n1*n2 - 2*a33*m2 *n1
2 4 2 2 2 4 2
+ 2*a33*m2 *n1 *n2 + 4*a33*m2 *n1 *n2 ) + u1*v3 *(
2 3 3 2 3 3 2 2 4
2*a33 *m1 *n1 *n2 + 2*a33 *m1 *n1*n2 - 2*a33 *m1 *m2*n1
2 2 2 2 2 2 3 2 2 3
- 2*a33 *m1 *m2*n1 *n2 + 2*a33 *m1*m2 *n1 *n2 + 2*a33 *m1*m2 *n1*n2
2 3 4 2 3 2 2 2 4
- 2*a33 *m2 *n1 - 2*a33 *m2 *n1 *n2 ) + u1*v3*( - 4*a33*m1 *n1 *n2*n3
2 2 3 5 4
- 4*a33*m1 *n1 *n2 *n3 + 4*a33*m1*m2*n1 *n3 - 4*a33*m1*m2*n1*n2 *n3
2 4 2 2 3 5 3
+ 4*a33*m2 *n1 *n2*n3 + 4*a33*m2 *n1 *n2 *n3) + u1*(m1*n1 *n2
5 2 3 5 3 3 2 7
- m1*n1 *n2*n3 + 2*m1*n1 *n2 - 2*m1*n1 *n2 *n3 + m1*n1*n2
5 2 6 2 6 2 4 4
- m1*n1*n2 *n3 - m2*n1 *n2 + m2*n1 *n3 - 2*m2*n1 *n2
4 2 2 2 6 2 4 2 4 3 4
+ 2*m2*n1 *n2 *n3 - m2*n1 *n2 + m2*n1 *n2 *n3 ) + u2 *(a33 *m1*n1 *n2
3 2 3 3 5 3 5 3 3 2
+ 2*a33 *m1*n1 *n2 + a33 *m1*n2 - a33 *m2*n1 - 2*a33 *m2*n1 *n2
3 4 3 3 2 2 2 3 2 4
- a33 *m2*n1*n2 ) + u2 *v1*(4*a33 *m1 *n1 *n2 + 4*a33 *m1 *n2
3 3 3 3 3 2 4
- 8*a33 *m1*m2*n1 *n2 - 8*a33 *m1*m2*n1*n2 + 4*a33 *m2 *n1
3 2 2 2 3 2 4 2 2 2 4
+ 4*a33 *m2 *n1 *n2 ) + u2 *( - 2*a33 *m1*n1 *n2 - 4*a33 *m1*n1 *n2
2 6 2 5 2 3 3 2 5
- 2*a33 *m1*n2 + 2*a33 *m2*n1 *n2 + 4*a33 *m2*n1 *n2 + 2*a33 *m2*n1*n2
2 3 2 3 3 2 3 3 4
) + u2 *u3*v3*(4*a33 *m1 *n1 *n2 + 4*a33 *m1 *n1*n2 - 4*a33 *m1*m2*n1
3 4 3 2 3 3 2 3 2
+ 4*a33 *m1*m2*n2 - 4*a33 *m2 *n1 *n2 - 4*a33 *m2 *n1*n2 ) + u2 *u3*(
2 4 2 2 3 2 5
- 2*a33 *m1*n1 *n2*n3 - 4*a33 *m1*n1 *n2 *n3 - 2*a33 *m1*n2 *n3
2 5 2 3 2 2 4 2
+ 2*a33 *m2*n1 *n3 + 4*a33 *m2*n1 *n2 *n3 + 2*a33 *m2*n1*n2 *n3) + u2
2 3 3 3 3 2 2 3 2 2
*v1 *(4*a33 *m1 *n2 - 12*a33 *m1 *m2*n1*n2 + 12*a33 *m1*m2 *n1 *n2
3 3 3 2 2 2 4 2 2 2 3
- 4*a33 *m2 *n1 ) + u2 *v1*(2*a33 *m1 *n1 *n2 - 4*a33 *m1 *n1 *n2
2 2 5 2 5 2 3 2
- 6*a33 *m1 *n2 - 2*a33 *m1*m2*n1 + 12*a33 *m1*m2*n1 *n2
2 4 2 2 4 2 2 2 3 2
+ 14*a33 *m1*m2*n1*n2 - 8*a33 *m2 *n1 *n2 - 8*a33 *m2 *n1 *n2 ) + u2 *v2
2 2 3 2 2 2 4 2 4
*(4*a33 *m1 *n1 *n2 + 4*a33 *m1 *n1*n2 - 6*a33 *m1*m2*n1 *n2
2 2 3 2 5 2 2 5
- 4*a33 *m1*m2*n1 *n2 + 2*a33 *m1*m2*n2 + 2*a33 *m2 *n1
2 2 4 2 2 3 3 2 3 3 3
- 2*a33 *m2 *n1*n2 ) + u2 *v3 *( - 2*a33 *m1 *n1 *n2 - 2*a33 *m1 *n2
3 2 3 3 2 2 3 2 2
+ 2*a33 *m1 *m2*n1 + 2*a33 *m1 *m2*n1*n2 - 2*a33 *m1*m2 *n1 *n2
3 2 3 3 3 3 3 3 2 2
- 2*a33 *m1*m2 *n2 + 2*a33 *m2 *n1 + 2*a33 *m2 *n1*n2 ) + u2 *v3*(
2 2 3 2 2 3 2 4
4*a33 *m1 *n1 *n2*n3 + 4*a33 *m1 *n1*n2 *n3 - 4*a33 *m1*m2*n1 *n3
2 4 2 2 3 2 2 3
+ 4*a33 *m1*m2*n2 *n3 - 4*a33 *m2 *n1 *n2*n3 - 4*a33 *m2 *n1*n2 *n3) + u2
3 3 2 3 2 2 3 2 3
*u3*v1*v3*(8*a33 *m1 *n1*n2 - 16*a33 *m1 *m2*n1 *n2 + 8*a33 *m1 *m2*n2
3 2 3 3 2 2 3 3 2
+ 8*a33 *m1*m2 *n1 - 16*a33 *m1*m2 *n1*n2 + 8*a33 *m2 *n1 *n2)
2 2 2 2 2 2 4
+ u2*u3*v1*( - 4*a33 *m1 *n1 *n2 *n3 - 4*a33 *m1 *n2 *n3
2 3 2 3
+ 8*a33 *m1*m2*n1 *n2*n3 + 8*a33 *m1*m2*n1*n2 *n3
2 2 4 2 2 2 2
- 4*a33 *m2 *n1 *n3 - 4*a33 *m2 *n1 *n2 *n3) + u2*u3*v3*(
2 2 3 2 2 2 4 2 4
- 4*a33 *m1 *n1 *n2 - 4*a33 *m1 *n1*n2 + 4*a33 *m1*m2*n1 *n2
2 5 2 2 3 2 2 2 4
- 4*a33 *m1*m2*n2 + 4*a33 *m2 *n1 *n2 + 4*a33 *m2 *n1*n2 ) + u2*u3*(
4 2 2 4 6
2*a33*m1*n1 *n2 *n3 + 4*a33*m1*n1 *n2 *n3 + 2*a33*m1*n2 *n3
5 3 3 5 2
- 2*a33*m2*n1 *n2*n3 - 4*a33*m2*n1 *n2 *n3 - 2*a33*m2*n1*n2 *n3) + u2*v1
2 3 2 2 2 3 4 2 2 3
*(4*a33 *m1 *n1 *n2 - 4*a33 *m1 *n2 - 8*a33 *m1 *m2*n1 *n2
2 2 3 2 2 4 2 2 2 2
+ 16*a33 *m1 *m2*n1*n2 + 4*a33 *m1*m2 *n1 - 20*a33 *m1*m2 *n1 *n2
2 3 3 2 3 3
+ 8*a33 *m2 *n1 *n2) + u2*v1*v2*(8*a33 *m1 *n1*n2
2 2 2 2 2 2 4 2 2 3
- 20*a33 *m1 *m2*n1 *n2 + 4*a33 *m1 *m2*n2 + 16*a33 *m1*m2 *n1 *n2
2 2 3 2 3 4 2 3 2 2 2
- 8*a33 *m1*m2 *n1*n2 - 4*a33 *m2 *n1 + 4*a33 *m2 *n1 *n2 ) + u2*v1*v3
3 4 2 3 3 3 2 2 2
*( - 4*a33 *m1 *n2 + 8*a33 *m1 *m2*n1*n2 - 4*a33 *m1 *m2 *n1
3 2 2 2 3 3 3 4 2
- 4*a33 *m1 *m2 *n2 + 8*a33 *m1*m2 *n1*n2 - 4*a33 *m2 *n1 ) + u2*v1*v3*(
2 3 2 2 2 2 2 2 3
8*a33 *m1 *n1*n2 *n3 - 16*a33 *m1 *m2*n1 *n2*n3 + 8*a33 *m1 *m2*n2 *n3
2 2 3 2 2 2 2 3 2
+ 8*a33 *m1*m2 *n1 *n3 - 16*a33 *m1*m2 *n1*n2 *n3 + 8*a33 *m2 *n1 *n2*n3)
2 4 2 2 2 4 5
+ u2*v1*( - 2*a33*m1 *n1 *n2 - 2*a33*m1 *n1 *n2 + 2*a33*m1*m2*n1 *n2
5 2 4 2 2 2 4
- 2*a33*m1*m2*n1*n2 + 2*a33*m2 *n1 *n2 + 2*a33*m2 *n1 *n2 ) + u2
2 2 3 2 2 2 3 4 2 2 3
*v3 *(2*a33 *m1 *n1 *n2 + 2*a33 *m1 *n2 - 2*a33 *m1 *m2*n1 *n2
2 2 3 2 2 2 2 2 2 4
- 2*a33 *m1 *m2*n1*n2 + 2*a33 *m1*m2 *n1 *n2 + 2*a33 *m1*m2 *n2
2 3 3 2 3 3
- 2*a33 *m2 *n1 *n2 - 2*a33 *m2 *n1*n2 ) + u2*v3*(
2 3 2 2 4 4
- 4*a33*m1 *n1 *n2 *n3 - 4*a33*m1 *n1*n2 *n3 + 4*a33*m1*m2*n1 *n2*n3
5 2 3 2 2 4
- 4*a33*m1*m2*n2 *n3 + 4*a33*m2 *n1 *n2 *n3 + 4*a33*m2 *n1*n2 *n3) + u2*(
4 4 4 2 2 2 6 2 4 2 8
m1*n1 *n2 - m1*n1 *n2 *n3 + 2*m1*n1 *n2 - 2*m1*n1 *n2 *n3 + m1*n2
6 2 5 3 5 2 3 5
- m1*n2 *n3 - m2*n1 *n2 + m2*n1 *n2*n3 - 2*m2*n1 *n2
3 3 2 7 5 2 2 2
+ 2*m2*n1 *n2 *n3 - m2*n1*n2 + m2*n1*n2 *n3 ) + u3 *v3 *(
3 3 2 3 2 3 3 2 2
4*a33 *m1 *n1 *n2 - 4*a33 *m1 *m2*n1 + 8*a33 *m1 *m2*n1*n2
3 2 2 3 2 3 3 3 2 2
- 8*a33 *m1*m2 *n1 *n2 + 4*a33 *m1*m2 *n2 - 4*a33 *m2 *n1*n2 ) + u3 *v3*
2 2 3 2 2 3 2 4
( - 4*a33 *m1 *n1 *n2*n3 - 4*a33 *m1 *n1*n2 *n3 + 4*a33 *m1*m2*n1 *n3
2 4 2 2 3 2 2 3
- 4*a33 *m1*m2*n2 *n3 + 4*a33 *m2 *n1 *n2*n3 + 4*a33 *m2 *n1*n2 *n3) + u3
2 3 3 2 3 3 2 2 4
*v1*v3*(4*a33 *m1 *n1 *n2 - 4*a33 *m1 *n1*n2 - 4*a33 *m1 *m2*n1
2 2 2 2 2 2 4 2 2 3
+ 16*a33 *m1 *m2*n1 *n2 - 4*a33 *m1 *m2*n2 - 12*a33 *m1*m2 *n1 *n2
2 2 3 2 3 2 2
+ 12*a33 *m1*m2 *n1*n2 - 8*a33 *m2 *n1 *n2 ) + u3*v1*(
2 4 2 5 5
- 2*a33*m1 *n1 *n2*n3 + 2*a33*m1 *n2 *n3 + 2*a33*m1*m2*n1 *n3
3 2 4 2 4
- 4*a33*m1*m2*n1 *n2 *n3 - 6*a33*m1*m2*n1*n2 *n3 + 4*a33*m2 *n1 *n2*n3
2 2 3 2 3 2 2
+ 4*a33*m2 *n1 *n2 *n3) + u3*v2*v3*(8*a33 *m1 *n1 *n2
2 2 3 2 2 3 2 2 4
- 12*a33 *m1 *m2*n1 *n2 + 12*a33 *m1 *m2*n1*n2 + 4*a33 *m1*m2 *n1
2 2 2 2 2 2 4 2 3 3
- 16*a33 *m1*m2 *n1 *n2 + 4*a33 *m1*m2 *n2 + 4*a33 *m2 *n1 *n2
2 3 3 2 3 2
- 4*a33 *m2 *n1*n2 ) + u3*v2*( - 4*a33*m1 *n1 *n2 *n3
2 4 4 2 3
- 4*a33*m1 *n1*n2 *n3 + 6*a33*m1*m2*n1 *n2*n3 + 4*a33*m1*m2*n1 *n2 *n3
5 2 5 2 4 3
- 2*a33*m1*m2*n2 *n3 - 2*a33*m2 *n1 *n3 + 2*a33*m2 *n1*n2 *n3) + u3*v3 *(
3 4 3 3 2 3 3 2
- 4*a33 *m1 *n1*n2 + 4*a33 *m1 *m2*n1 - 4*a33 *m1 *m2*n2
3 3 2 3 3 2 3 4 2
+ 4*a33 *m1*m2 *n1 - 4*a33 *m1*m2 *n2 + 4*a33 *m2 *n1*n2) + u3*v3 *(
2 3 2 2 3 3 2 2 3
10*a33 *m1 *n1 *n2*n3 + 2*a33 *m1 *n2 *n3 - 10*a33 *m1 *m2*n1 *n3
2 2 2 2 2 2
+ 14*a33 *m1 *m2*n1*n2 *n3 - 14*a33 *m1*m2 *n1 *n2*n3
2 2 3 2 3 3 2 3 2
+ 10*a33 *m1*m2 *n2 *n3 - 2*a33 *m2 *n1 *n3 - 10*a33 *m2 *n1*n2 *n3) + u3
2 3 3 2 3 2 2 5
*v3*(2*a33*m1 *n1 *n2 - 4*a33*m1 *n1 *n2*n3 + 2*a33*m1 *n1*n2
2 3 2 4 2 4 2
- 4*a33*m1 *n1*n2 *n3 - 4*a33*m1*m2*n1 *n2 + 4*a33*m1*m2*n1 *n3
2 4 4 2 2 5
- 4*a33*m1*m2*n1 *n2 - 4*a33*m1*m2*n2 *n3 + 2*a33*m2 *n1 *n2
2 3 3 2 3 2 2 3 2
+ 2*a33*m2 *n1 *n2 + 4*a33*m2 *n1 *n2*n3 + 4*a33*m2 *n1*n2 *n3 ) + u3
4 3 4 3 2 5 2 3 3
*(m1*n1 *n2 *n3 - m1*n1 *n2*n3 + 2*m1*n1 *n2 *n3 - 2*m1*n1 *n2 *n3
7 5 3 5 2 5 3 3 4
+ m1*n2 *n3 - m1*n2 *n3 - m2*n1 *n2 *n3 + m2*n1 *n3 - 2*m2*n1 *n2 *n3
3 2 3 6 4 3
+ 2*m2*n1 *n2 *n3 - m2*n1*n2 *n3 + m2*n1*n2 *n3 ) + v1*v2*(
3 3 2 3 4 2 4
4*a33*m1 *n1 *n2 - 4*a33*m1 *n1*n2 - 6*a33*m1 *m2*n1 *n2
2 2 3 2 5 2 5
+ 16*a33*m1 *m2*n1 *n2 - 2*a33*m1 *m2*n2 + 2*a33*m1*m2 *n1
2 3 2 2 4 3 4
- 16*a33*m1*m2 *n1 *n2 + 6*a33*m1*m2 *n1*n2 + 4*a33*m2 *n1 *n2
3 2 3 2 2 4 2 2 4 3
- 4*a33*m2 *n1 *n2 ) + v1*v3 *( - 2*a33 *m1 *n1 *n2 + 2*a33 *m1 *n2
2 3 3 2 3 2 2 2 2 2
+ 2*a33 *m1 *m2*n1 - 6*a33 *m1 *m2*n1*n2 + 2*a33 *m1 *m2 *n1 *n2
2 2 2 3 2 3 3 2 3 2
+ 2*a33 *m1 *m2 *n2 + 2*a33 *m1*m2 *n1 - 6*a33 *m1*m2 *n1*n2
2 4 2 3 3 3 3
+ 4*a33 *m2 *n1 *n2) + v1*v3*(4*a33*m1 *n1 *n2*n3 - 4*a33*m1 *n1*n2 *n3
2 4 2 2 2 2 4
- 4*a33*m1 *m2*n1 *n3 + 16*a33*m1 *m2*n1 *n2 *n3 - 4*a33*m1 *m2*n2 *n3
2 3 2 3
- 12*a33*m1*m2 *n1 *n2*n3 + 12*a33*m1*m2 *n1*n2 *n3
3 2 2 2 4 3 2 4 2
- 8*a33*m2 *n1 *n2 *n3) + v1*( - m1 *n1 *n2 - m1 *n1 *n2*n3
2 2 3 2 2 7 2 5 2 5 2
- 2*m1 *n1 *n2 *n3 + m1 *n2 - m1 *n2 *n3 + m1*m2*n1 *n2
5 2 3 4 3 2 2 6
+ m1*m2*n1 *n3 - 2*m1*m2*n1 *n2 + 2*m1*m2*n1 *n2 *n3 - 3*m1*m2*n1*n2
4 2 2 4 3 2 2 5 2
+ m1*m2*n1*n2 *n3 + 2*m2 *n1 *n2 + 2*m2 *n1 *n2 ) + v2 *(
3 4 3 2 3 3 5 2 5
- a33*m1 *n1 *n2 + 6*a33*m1 *n1 *n2 - a33*m1 *n2 + a33*m1 *m2*n1
2 3 2 2 4 2 4
- 14*a33*m1 *m2*n1 *n2 + 9*a33*m1 *m2*n1*n2 + 9*a33*m1*m2 *n1 *n2
2 2 3 2 5 3 5
- 14*a33*m1*m2 *n1 *n2 + a33*m1*m2 *n2 - a33*m2 *n1
3 3 2 3 4 2 2 4 2
+ 6*a33*m2 *n1 *n2 - a33*m2 *n1*n2 ) + v2*v3 *( - 4*a33 *m1 *n1*n2
2 3 2 2 3 3 2 2 2 3
+ 6*a33 *m1 *m2*n1 *n2 - 2*a33 *m1 *m2*n2 - 2*a33 *m1 *m2 *n1
2 2 2 2 2 3 2 2 3 3
- 2*a33 *m1 *m2 *n1*n2 + 6*a33 *m1*m2 *n1 *n2 - 2*a33 *m1*m2 *n2
2 4 3 2 4 2 3 2 2
- 2*a33 *m2 *n1 + 2*a33 *m2 *n1*n2 ) + v2*v3*(8*a33*m1 *n1 *n2 *n3
2 3 2 3 2 4
- 12*a33*m1 *m2*n1 *n2*n3 + 12*a33*m1 *m2*n1*n2 *n3 + 4*a33*m1*m2 *n1 *n3
2 2 2 2 4 3 3
- 16*a33*m1*m2 *n1 *n2 *n3 + 4*a33*m1*m2 *n2 *n3 + 4*a33*m2 *n1 *n2*n3
3 3 2 3 4 2 6
- 4*a33*m2 *n1*n2 *n3) + v2*( - 2*m1 *n1 *n2 - 2*m1 *n1*n2
4 3 4 2 2 5
+ 3*m1*m2*n1 *n2 - m1*m2*n1 *n2*n3 + 2*m1*m2*n1 *n2
2 3 2 7 5 2 2 5 2
- 2*m1*m2*n1 *n2 *n3 - m1*m2*n2 - m1*m2*n2 *n3 - m2 *n1 *n2
2 5 2 2 3 2 2 2 6 2 4 2 4
+ m2 *n1 *n3 + 2*m2 *n1 *n2 *n3 + m2 *n1*n2 + m2 *n1*n2 *n3 ) + v3 *(
3 5 3 4 3 3 2 3 2 3
a33 *m1 *n2 - a33 *m1 *m2*n1 + 2*a33 *m1 *m2 *n2 - 2*a33 *m1 *m2 *n1
3 4 3 5 3 2 4
+ a33 *m1*m2 *n2 - a33 *m2 *n1) + v3 *( - 4*a33 *m1 *n1*n2*n3
2 3 2 2 3 2 2 3 2
+ 4*a33 *m1 *m2*n1 *n3 - 4*a33 *m1 *m2*n2 *n3 + 4*a33 *m1*m2 *n1 *n3
2 3 2 2 4 2 3 4
- 4*a33 *m1*m2 *n2 *n3 + 4*a33 *m2 *n1*n2*n3) + v3 *( - a33*m1 *n1 *n2
3 2 3 3 2 2 2 5
+ 3*a33*m1 *n1 *n2 + 4*a33*m1 *n1 *n2*n3 + a33*m1 *m2*n1
2 3 2 2 3 2 2 4
- 7*a33*m1 *m2*n1 *n2 - 4*a33*m1 *m2*n1 *n3 + 4*a33*m1 *m2*n1*n2
2 2 2 2 4 2 2 3
+ 8*a33*m1 *m2*n1*n2 *n3 + 4*a33*m1*m2 *n1 *n2 - 7*a33*m1*m2 *n1 *n2
2 2 2 2 5 2 3 2
- 8*a33*m1*m2 *n1 *n2*n3 + a33*m1*m2 *n2 + 4*a33*m1*m2 *n2 *n3
3 3 2 3 4 3 2 2
+ 3*a33*m2 *n1 *n2 - a33*m2 *n1*n2 - 4*a33*m2 *n1*n2 *n3 ) + v3*(
2 3 3 2 5 4 2
- 2*m1 *n1 *n2 *n3 - 2*m1 *n1*n2 *n3 + 2*m1*m2*n1 *n2 *n3
6 2 3 3 2 5
- 2*m1*m2*n2 *n3 + 2*m2 *n1 *n2 *n3 + 2*m2 *n1*n2 *n3)
Stop of a subroutine.
Number of garbage collections exceeds max_gc_fac.
The factorization crashed!
which the program can not factorize further.
{HAM,FI} = 0
2 2 4 2 3 5 5
FI=u1 *v2 *( - a33*m1*n1 *n2 - 2*a33*m1*n1 *n2 - a33*m1*n2 + a33*m2*n1
3 2 4 2 2 4
+ 2*a33*m2*n1 *n2 + a33*m2*n1*n2 ) + u1 *v3 *( - a33*m1*n1 *n2
2 3 5 5 3 2
- 2*a33*m1*n1 *n2 - a33*m1*n2 + a33*m2*n1 + 2*a33*m2*n1 *n2
4 4 2 3
+ a33*m2*n1*n2 ) + u1*u2*v1*v2*(2*a33*m1*n1 *n2 + 4*a33*m1*n1 *n2
5 5 3 2 4
+ 2*a33*m1*n2 - 2*a33*m2*n1 - 4*a33*m2*n1 *n2 - 2*a33*m2*n1*n2 ) + u1
4 2 3 5 5
*u3*v1*v3*(2*a33*m1*n1 *n2 + 4*a33*m1*n1 *n2 + 2*a33*m1*n2 - 2*a33*m2*n1
3 2 4 2
- 4*a33*m2*n1 *n2 - 2*a33*m2*n1*n2 ) + u1*v1 *v2*(
2 2 2 2 4 3
2*a33*m1 *n1 *n2 + 2*a33*m1 *n2 - 4*a33*m1*m2*n1 *n2
3 2 4 2 2 2 2
- 4*a33*m1*m2*n1*n2 + 2*a33*m2 *n1 + 2*a33*m2 *n1 *n2 ) + u1*v1
5 3 3 5 6 4 2 2 4
*(m1*n1 *n2 + 2*m1*n1 *n2 + m1*n1*n2 - m2*n1 - 2*m2*n1 *n2 - m2*n1 *n2 )
3 2 2 2 2 4 3
+ u1*v2 *(2*a33*m1 *n1 *n2 + 2*a33*m1 *n2 - 4*a33*m1*m2*n1 *n2
3 2 4 2 2 2 2
- 4*a33*m1*m2*n1*n2 + 2*a33*m2 *n1 + 2*a33*m2 *n1 *n2 ) + u1*v2
5 3 3 5 6 4 2 2 4
*(m1*n1 *n2 + 2*m1*n1 *n2 + m1*n1*n2 - m2*n1 - 2*m2*n1 *n2 - m2*n1 *n2 )
2 2 2 2 2 4 3
+ u1*v2*v3 *(2*a33*m1 *n1 *n2 + 2*a33*m1 *n2 - 4*a33*m1*m2*n1 *n2
3 2 4 2 2 2
- 4*a33*m1*m2*n1*n2 + 2*a33*m2 *n1 + 2*a33*m2 *n1 *n2 ) + u1
2
*v3
5 3 3 5 6 4 2 2 4
*(m1*n1 *n2 + 2*m1*n1 *n2 + m1*n1*n2 - m2*n1 - 2*m2*n1 *n2 - m2*n1 *n2 )
2 2 4 2 3 5 5
+ u2 *v1 *( - a33*m1*n1 *n2 - 2*a33*m1*n1 *n2 - a33*m1*n2 + a33*m2*n1
3 2 4 2 2 4
+ 2*a33*m2*n1 *n2 + a33*m2*n1*n2 ) + u2 *v3 *( - a33*m1*n1 *n2
2 3 5 5 3 2
- 2*a33*m1*n1 *n2 - a33*m1*n2 + a33*m2*n1 + 2*a33*m2*n1 *n2
4 4 2 3
+ a33*m2*n1*n2 ) + u2*u3*v2*v3*(2*a33*m1*n1 *n2 + 4*a33*m1*n1 *n2
5 5 3 2 4
+ 2*a33*m1*n2 - 2*a33*m2*n1 - 4*a33*m2*n1 *n2 - 2*a33*m2*n1*n2 ) + u2
3 2 2 2 2 4 3
*v1 *( - 2*a33*m1 *n1 *n2 - 2*a33*m1 *n2 + 4*a33*m1*m2*n1 *n2
3 2 4 2 2 2 2
+ 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n1 - 2*a33*m2 *n1 *n2 ) + u2*v1
4 2 2 4 6 5 3 3 5
*(m1*n1 *n2 + 2*m1*n1 *n2 + m1*n2 - m2*n1 *n2 - 2*m2*n1 *n2 - m2*n1*n2 )
2 2 2 2 2 4 3
+ u2*v1*v2 *( - 2*a33*m1 *n1 *n2 - 2*a33*m1 *n2 + 4*a33*m1*m2*n1 *n2
3 2 4 2 2 2
+ 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n1 - 2*a33*m2 *n1 *n2 ) + u2
2 2 2 2 2 4 3
*v1*v3 *( - 2*a33*m1 *n1 *n2 - 2*a33*m1 *n2 + 4*a33*m1*m2*n1 *n2
3 2 4 2 2 2 2
+ 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n1 - 2*a33*m2 *n1 *n2 ) + u2*v2
4 2 2 4 6 5 3 3 5
*(m1*n1 *n2 + 2*m1*n1 *n2 + m1*n2 - m2*n1 *n2 - 2*m2*n1 *n2 - m2*n1*n2 )
2
+ u2*v3
4 2 2 4 6 5 3 3 5
*(m1*n1 *n2 + 2*m1*n1 *n2 + m1*n2 - m2*n1 *n2 - 2*m2*n1 *n2 - m2*n1*n2 )
2 2 4 2 3 5 5
+ u3 *v3 *(a33*m1*n1 *n2 + 2*a33*m1*n1 *n2 + a33*m1*n2 - a33*m2*n1
3 2 4 2
- 2*a33*m2*n1 *n2 - a33*m2*n1*n2 ) + u3*v1 *v3*(
2 3 2 3 4 4
- 2*a33*m1 *n1 *n2 - 2*a33*m1 *n1*n2 + 2*a33*m1*m2*n1 - 2*a33*m1*m2*n2
2 3 2 3 2 4
+ 2*a33*m2 *n1 *n2 + 2*a33*m2 *n1*n2 ) + u3*v1 *(m1*n1 *n2*n3
2 3 5 5 3 2
+ 2*m1*n1 *n2 *n3 + m1*n2 *n3 - m2*n1 *n3 - 2*m2*n1 *n2 *n3
4 2 2 3 2 3
- m2*n1*n2 *n3) + u3*v2 *v3*( - 2*a33*m1 *n1 *n2 - 2*a33*m1 *n1*n2
4 4 2 3 2 3
+ 2*a33*m1*m2*n1 - 2*a33*m1*m2*n2 + 2*a33*m2 *n1 *n2 + 2*a33*m2 *n1*n2
2 4 2 3 5 5
) + u3*v2 *(m1*n1 *n2*n3 + 2*m1*n1 *n2 *n3 + m1*n2 *n3 - m2*n1 *n3
3 2 4 3 2 3
- 2*m2*n1 *n2 *n3 - m2*n1*n2 *n3) + u3*v3 *( - 2*a33*m1 *n1 *n2
2 3 4 4 2 3
- 2*a33*m1 *n1*n2 + 2*a33*m1*m2*n1 - 2*a33*m1*m2*n2 + 2*a33*m2 *n1 *n2
2 3 2 4 2 3 5
+ 2*a33*m2 *n1*n2 ) + u3*v3 *(m1*n1 *n2*n3 + 2*m1*n1 *n2 *n3 + m1*n2 *n3
5 3 2 4 3 2 4
- m2*n1 *n3 - 2*m2*n1 *n2 *n3 - m2*n1*n2 *n3) + v1 *( - m1 *n1 *n2
2 5 5 3 2 4 2 4
+ m1 *n2 + m1*m2*n1 - 2*m1*m2*n1 *n2 - 3*m1*m2*n1*n2 + 2*m2 *n1 *n2
2 2 3 2 2 3 2 2 4
+ 2*m2 *n1 *n2 ) + v1 *v2*( - 2*m1 *n1 *n2 - 2*m1 *n1*n2
4 2 3 5 2 5 2 4
+ 3*m1*m2*n1 *n2 + 2*m1*m2*n1 *n2 - m1*m2*n2 - m2 *n1 + m2 *n1*n2 ) +
2 2 3 2 3 3 2 3 2 2
v1 *v3 *(a33*m1 *n1 *n2 + a33*m1 *n2 - a33*m1 *m2*n1 - a33*m1 *m2*n1*n2
2 2 2 3 3 3 3 2
+ a33*m1*m2 *n1 *n2 + a33*m1*m2 *n2 - a33*m2 *n1 - a33*m2 *n1*n2
2 2 3 2 3 4
) + v1 *v3*( - 2*m1 *n1 *n2*n3 - 2*m1 *n1*n2 *n3 + 2*m1*m2*n1 *n3
4 2 3 2 3 2
- 2*m1*m2*n2 *n3 + 2*m2 *n1 *n2*n3 + 2*m2 *n1*n2 *n3) + v1*v2 *(
2 4 2 5 5 3 2 4
- m1 *n1 *n2 + m1 *n2 + m1*m2*n1 - 2*m1*m2*n1 *n2 - 3*m1*m2*n1*n2
2 4 2 2 3 2 2 4 2 5
+ 2*m2 *n1 *n2 + 2*m2 *n1 *n2 ) + v1*v3 *( - m1 *n1 *n2 + m1 *n2
5 3 2 4 2 4
+ m1*m2*n1 - 2*m1*m2*n1 *n2 - 3*m1*m2*n1*n2 + 2*m2 *n1 *n2
2 2 3 3 2 3 2 2 4 4
+ 2*m2 *n1 *n2 ) + v2 *( - 2*m1 *n1 *n2 - 2*m1 *n1*n2 + 3*m1*m2*n1 *n2
2 3 5 2 5 2 4 2 2
+ 2*m1*m2*n1 *n2 - m1*m2*n2 - m2 *n1 + m2 *n1*n2 ) + v2 *v3 *(
3 2 3 3 2 3 2 2
a33*m1 *n1 *n2 + a33*m1 *n2 - a33*m1 *m2*n1 - a33*m1 *m2*n1*n2
2 2 2 3 3 3 3 2
+ a33*m1*m2 *n1 *n2 + a33*m1*m2 *n2 - a33*m2 *n1 - a33*m2 *n1*n2 ) +
2 2 3 2 3 4
v2 *v3*( - 2*m1 *n1 *n2*n3 - 2*m1 *n1*n2 *n3 + 2*m1*m2*n1 *n3
4 2 3 2 3 2
- 2*m1*m2*n2 *n3 + 2*m2 *n1 *n2*n3 + 2*m2 *n1*n2 *n3) + v2*v3 *(
2 3 2 2 4 4 2 3
- 2*m1 *n1 *n2 - 2*m1 *n1*n2 + 3*m1*m2*n1 *n2 + 2*m1*m2*n1 *n2
5 2 5 2 4 4 3 2 3 3
- m1*m2*n2 - m2 *n1 + m2 *n1*n2 ) + v3 *(a33*m1 *n1 *n2 + a33*m1 *n2
2 3 2 2 2 2 2 3
- a33*m1 *m2*n1 - a33*m1 *m2*n1*n2 + a33*m1*m2 *n1 *n2 + a33*m1*m2 *n2
3 3 3 2 3 2 3
- a33*m2 *n1 - a33*m2 *n1*n2 ) + v3 *( - 2*m1 *n1 *n2*n3
2 3 4 4 2 3
- 2*m1 *n1*n2 *n3 + 2*m1*m2*n1 *n3 - 2*m1*m2*n2 *n3 + 2*m2 *n1 *n2*n3
2 3
+ 2*m2 *n1*n2 *n3)
= a product of the elements of: {n1 - i*n2,
n1 + i*n2,
m1*n2 - m2*n1,
2 2 2 2 2 2 2 2
u1 *v2 *( - a33*n1 - a33*n2 ) + u1 *v3 *( - a33*n1 - a33*n2 )
2 2 2 2
+ u1*u2*v1*v2*(2*a33*n1 + 2*a33*n2 ) + u1*u3*v1*v3*(2*a33*n1 + 2*a33*n2 )
2 2 3 2
+ u1*v1 *v2*(2*a33*m1*n2 - 2*a33*m2*n1) + u1*v1 *(n1 + n1*n2 )
3 2 3 2
+ u1*v2 *(2*a33*m1*n2 - 2*a33*m2*n1) + u1*v2 *(n1 + n1*n2 )
2 2 3 2
+ u1*v2*v3 *(2*a33*m1*n2 - 2*a33*m2*n1) + u1*v3 *(n1 + n1*n2 )
2 2 2 2 2 2 2 2
+ u2 *v1 *( - a33*n1 - a33*n2 ) + u2 *v3 *( - a33*n1 - a33*n2 )
2 2
+ u2*u3*v2*v3*(2*a33*n1 + 2*a33*n2 )
3 2 2 3
+ u2*v1 *( - 2*a33*m1*n2 + 2*a33*m2*n1) + u2*v1 *(n1 *n2 + n2 )
2
+ u2*v1*v2 *( - 2*a33*m1*n2 + 2*a33*m2*n1)
2 2 2 3
+ u2*v1*v3 *( - 2*a33*m1*n2 + 2*a33*m2*n1) + u2*v2 *(n1 *n2 + n2 )
2 2 3 2 2 2 2
+ u2*v3 *(n1 *n2 + n2 ) + u3 *v3 *(a33*n1 + a33*n2 )
2 2 2 2
+ u3*v1 *v3*( - 2*a33*m1*n1 - 2*a33*m2*n2) + u3*v1 *(n1 *n3 + n2 *n3)
2 2 2 2
+ u3*v2 *v3*( - 2*a33*m1*n1 - 2*a33*m2*n2) + u3*v2 *(n1 *n3 + n2 *n3)
3 2 2 2
+ u3*v3 *( - 2*a33*m1*n1 - 2*a33*m2*n2) + u3*v3 *(n1 *n3 + n2 *n3)
3 2 2
+ v1 *( - m1*n1 + m1*n2 - 2*m2*n1*n2)
2 2 2 2 2 2 2
+ v1 *v2*( - 2*m1*n1*n2 + m2*n1 - m2*n2 ) + v1 *v3 *(a33*m1 + a33*m2 )
2
+ v1 *v3*( - 2*m1*n1*n3 - 2*m2*n2*n3)
2 2 2
+ v1*v2 *( - m1*n1 + m1*n2 - 2*m2*n1*n2)
2 2 2
+ v1*v3 *( - m1*n1 + m1*n2 - 2*m2*n1*n2)
3 2 2 2 2 2 2
+ v2 *( - 2*m1*n1*n2 + m2*n1 - m2*n2 ) + v2 *v3 *(a33*m1 + a33*m2 )
2
+ v2 *v3*( - 2*m1*n1*n3 - 2*m2*n2*n3)
2 2 2 4 2 2
+ v2*v3 *( - 2*m1*n1*n2 + m2*n1 - m2*n2 ) + v3 *(a33*m1 + a33*m2 )
3
+ v3 *( - 2*m1*n1*n3 - 2*m2*n2*n3)}
{HAM,FI} = 0
3 4 2 3 5 5
FI=u1 *v1*(a33*m1*n1 *n2 + 2*a33*m1*n1 *n2 + a33*m1*n2 - a33*m2*n1
3 2 4 2 4
- 2*a33*m2*n1 *n2 - a33*m2*n1*n2 ) + u1 *u2*v2*(a33*m1*n1 *n2
2 3 5 5 3 2
+ 2*a33*m1*n1 *n2 + a33*m1*n2 - a33*m2*n1 - 2*a33*m2*n1 *n2
4 2 4 2 3
- a33*m2*n1*n2 ) + u1 *u3*v3*(a33*m1*n1 *n2 + 2*a33*m1*n1 *n2
5 5 3 2 4 2
+ a33*m1*n2 - a33*m2*n1 - 2*a33*m2*n1 *n2 - a33*m2*n1*n2 ) + u1 *v1*v2
2 2 2 2 4 3
*( - 2*a33*m1 *n1 *n2 - 2*a33*m1 *n2 + 4*a33*m1*m2*n1 *n2
3 2 4 2 2 2 2
+ 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n1 - 2*a33*m2 *n1 *n2 ) + u1 *v1*(
5 3 3 5 6 4 2
- m1*n1 *n2 - 2*m1*n1 *n2 - m1*n1*n2 + m2*n1 + 2*m2*n1 *n2
2 4 2 2 2 3 2 3 4
+ m2*n1 *n2 ) + u1 *v2 *(a33*m1 *n1 *n2 + a33*m1 *n1*n2 - a33*m1*m2*n1
4 2 3 2 3 2 2
+ a33*m1*m2*n2 - a33*m2 *n1 *n2 - a33*m2 *n1*n2 ) + u1 *v3 *(
2 3 2 3 4 4
a33*m1 *n1 *n2 + a33*m1 *n1*n2 - a33*m1*m2*n1 + a33*m1*m2*n2
2 3 2 3 2 4
- a33*m2 *n1 *n2 - a33*m2 *n1*n2 ) + u1*u2 *v1*(a33*m1*n1 *n2
2 3 5 5 3 2
+ 2*a33*m1*n1 *n2 + a33*m1*n2 - a33*m2*n1 - 2*a33*m2*n1 *n2
4 2 2 2 2 2 4
- a33*m2*n1*n2 ) + u1*u2*v1 *(2*a33*m1 *n1 *n2 + 2*a33*m1 *n2
3 3 2 4
- 4*a33*m1*m2*n1 *n2 - 4*a33*m1*m2*n1*n2 + 2*a33*m2 *n1
2 2 2 2 3
+ 2*a33*m2 *n1 *n2 ) + u1*u2*v1*v2*( - 2*a33*m1 *n1 *n2
2 3 4 4 2 3
- 2*a33*m1 *n1*n2 + 2*a33*m1*m2*n1 - 2*a33*m1*m2*n2 + 2*a33*m2 *n1 *n2
2 3 4 2 2 4 6
+ 2*a33*m2 *n1*n2 ) + u1*u2*v1*( - m1*n1 *n2 - 2*m1*n1 *n2 - m1*n2
5 3 3 5 2 2 2 2
+ m2*n1 *n2 + 2*m2*n1 *n2 + m2*n1*n2 ) + u1*u2*v2 *( - 2*a33*m1 *n1 *n2
2 4 3 3 2 4
- 2*a33*m1 *n2 + 4*a33*m1*m2*n1 *n2 + 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n1
2 2 2 5 3 3 5
- 2*a33*m2 *n1 *n2 ) + u1*u2*v2*( - m1*n1 *n2 - 2*m1*n1 *n2 - m1*n1*n2
6 4 2 2 4 4
+ m2*n1 + 2*m2*n1 *n2 + m2*n1 *n2 ) + u1*u3*v1*( - m1*n1 *n2*n3
2 3 5 5 3 2
- 2*m1*n1 *n2 *n3 - m1*n2 *n3 + m2*n1 *n3 + 2*m2*n1 *n2 *n3
4 2 2 2 2 4
+ m2*n1*n2 *n3) + u1*u3*v2*v3*( - 2*a33*m1 *n1 *n2 - 2*a33*m1 *n2
3 3 2 4
+ 4*a33*m1*m2*n1 *n2 + 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n1
2 2 2 5 3 3 5
- 2*a33*m2 *n1 *n2 ) + u1*u3*v3*( - m1*n1 *n2 - 2*m1*n1 *n2 - m1*n1*n2
6 4 2 2 4 2 3 2
+ m2*n1 + 2*m2*n1 *n2 + m2*n1 *n2 ) + u1*v1 *v2*( - 2*a33*m1 *n1*n2
2 2 2 3 2 3
+ 4*a33*m1 *m2*n1 *n2 - 2*a33*m1 *m2*n2 - 2*a33*m1*m2 *n1
2 2 3 2 2 2 2 3
+ 4*a33*m1*m2 *n1*n2 - 2*a33*m2 *n1 *n2) + u1*v1 *( - m1 *n1 *n2
2 5 3 2 4 2 4 2 2 3
- m1 *n2 + 2*m1*m2*n1 *n2 + 2*m1*m2*n1*n2 - m2 *n1 *n2 - m2 *n1 *n2 )
2 3 2 2 4 4 2 3
+ u1*v1*v2*(2*m1 *n1 *n2 + 2*m1 *n1*n2 - 3*m1*m2*n1 *n2 - 2*m1*m2*n1 *n2
5 2 5 2 4 2
+ m1*m2*n2 + m2 *n1 - m2 *n1*n2 ) + u1*v1*v3 *(
3 2 3 3 2 3 2 2
- a33*m1 *n1 *n2 - a33*m1 *n2 + a33*m1 *m2*n1 + a33*m1 *m2*n1*n2
2 2 2 3 3 3 3 2
- a33*m1*m2 *n1 *n2 - a33*m1*m2 *n2 + a33*m2 *n1 + a33*m2 *n1*n2 ) + u1
2 3 2 3 4 4
*v1*v3*(2*m1 *n1 *n2*n3 + 2*m1 *n1*n2 *n3 - 2*m1*m2*n1 *n3 + 2*m1*m2*n2 *n3
2 3 2 3 3 3 2
- 2*m2 *n1 *n2*n3 - 2*m2 *n1*n2 *n3) + u1*v2 *( - 2*a33*m1 *n1*n2
2 2 2 3 2 3
+ 4*a33*m1 *m2*n1 *n2 - 2*a33*m1 *m2*n2 - 2*a33*m1*m2 *n1
2 2 3 2 2 2 4
+ 4*a33*m1*m2 *n1*n2 - 2*a33*m2 *n1 *n2) + u1*v2 *( - m1 *n1 *n2
2 2 3 5 4 2 4 2 2 3
- m1 *n1 *n2 + m1*m2*n1 - m1*m2*n1*n2 + m2 *n1 *n2 + m2 *n1 *n2 ) + u1
2 3 2 2 2 2 3
*v2*v3 *( - 2*a33*m1 *n1*n2 + 4*a33*m1 *m2*n1 *n2 - 2*a33*m1 *m2*n2
2 3 2 2 3 2
- 2*a33*m1*m2 *n1 + 4*a33*m1*m2 *n1*n2 - 2*a33*m2 *n1 *n2) + u1
2 2 4 2 2 3 5 4 2 4
*v3 *( - m1 *n1 *n2 - m1 *n1 *n2 + m1*m2*n1 - m1*m2*n1*n2 + m2 *n1 *n2
2 2 3 3 4 2 3 5
+ m2 *n1 *n2 ) + u2 *v2*(a33*m1*n1 *n2 + 2*a33*m1*n1 *n2 + a33*m1*n2
5 3 2 4 2
- a33*m2*n1 - 2*a33*m2*n1 *n2 - a33*m2*n1*n2 ) + u2 *u3*v3*(
4 2 3 5 5
a33*m1*n1 *n2 + 2*a33*m1*n1 *n2 + a33*m1*n2 - a33*m2*n1
3 2 4 2 2 2 3
- 2*a33*m2*n1 *n2 - a33*m2*n1*n2 ) + u2 *v1 *(a33*m1 *n1 *n2
2 3 4 4 2 3
+ a33*m1 *n1*n2 - a33*m1*m2*n1 + a33*m1*m2*n2 - a33*m2 *n1 *n2
2 3 2 2 2 2 2 4
- a33*m2 *n1*n2 ) + u2 *v1*v2*(2*a33*m1 *n1 *n2 + 2*a33*m1 *n2
3 3 2 4
- 4*a33*m1*m2*n1 *n2 - 4*a33*m1*m2*n1*n2 + 2*a33*m2 *n1
2 2 2 2 4 2 2 4 6
+ 2*a33*m2 *n1 *n2 ) + u2 *v2*( - m1*n1 *n2 - 2*m1*n1 *n2 - m1*n2
5 3 3 5 2 2 2 3
+ m2*n1 *n2 + 2*m2*n1 *n2 + m2*n1*n2 ) + u2 *v3 *(a33*m1 *n1 *n2
2 3 4 4 2 3
+ a33*m1 *n1*n2 - a33*m1*m2*n1 + a33*m1*m2*n2 - a33*m2 *n1 *n2
2 3 2 2 2 2 4
- a33*m2 *n1*n2 ) + u2*u3*v1*v3*(2*a33*m1 *n1 *n2 + 2*a33*m1 *n2
3 3 2 4
- 4*a33*m1*m2*n1 *n2 - 4*a33*m1*m2*n1*n2 + 2*a33*m2 *n1
2 2 2 4 2 3
+ 2*a33*m2 *n1 *n2 ) + u2*u3*v2*( - m1*n1 *n2*n3 - 2*m1*n1 *n2 *n3
5 5 3 2 4
- m1*n2 *n3 + m2*n1 *n3 + 2*m2*n1 *n2 *n3 + m2*n1*n2 *n3) + u2*u3*v3*(
4 2 2 4 6 5 3 3
- m1*n1 *n2 - 2*m1*n1 *n2 - m1*n2 + m2*n1 *n2 + 2*m2*n1 *n2
5 3 3 2 2 2
+ m2*n1*n2 ) + u2*v1 *(2*a33*m1 *n1*n2 - 4*a33*m1 *m2*n1 *n2
2 3 2 3 2 2
+ 2*a33*m1 *m2*n2 + 2*a33*m1*m2 *n1 - 4*a33*m1*m2 *n1*n2
3 2 2 2 3 2 2 4 4
+ 2*a33*m2 *n1 *n2) + u2*v1 *( - m1 *n1 *n2 - m1 *n1*n2 + m1*m2*n1 *n2
5 2 3 2 2 4 2 3 2
- m1*m2*n2 + m2 *n1 *n2 + m2 *n1*n2 ) + u2*v1*v2 *(2*a33*m1 *n1*n2
2 2 2 3 2 3
- 4*a33*m1 *m2*n1 *n2 + 2*a33*m1 *m2*n2 + 2*a33*m1*m2 *n1
2 2 3 2 2 4
- 4*a33*m1*m2 *n1*n2 + 2*a33*m2 *n1 *n2) + u2*v1*v2*(m1 *n1 *n2
2 5 5 3 2 4 2 4
- m1 *n2 - m1*m2*n1 + 2*m1*m2*n1 *n2 + 3*m1*m2*n1*n2 - 2*m2 *n1 *n2
2 2 3 2 3 2 2 2
- 2*m2 *n1 *n2 ) + u2*v1*v3 *(2*a33*m1 *n1*n2 - 4*a33*m1 *m2*n1 *n2
2 3 2 3 2 2
+ 2*a33*m1 *m2*n2 + 2*a33*m1*m2 *n1 - 4*a33*m1*m2 *n1*n2
3 2 2 2 3 2 2 4 4
+ 2*a33*m2 *n1 *n2) + u2*v2 *(m1 *n1 *n2 + m1 *n1*n2 - 2*m1*m2*n1 *n2
2 3 2 5 2 3 2 2 3 2
- 2*m1*m2*n1 *n2 + m2 *n1 + m2 *n1 *n2 ) + u2*v2*v3 *( - a33*m1 *n1 *n2
3 3 2 3 2 2 2 2
- a33*m1 *n2 + a33*m1 *m2*n1 + a33*m1 *m2*n1*n2 - a33*m1*m2 *n1 *n2
2 3 3 3 3 2
- a33*m1*m2 *n2 + a33*m2 *n1 + a33*m2 *n1*n2 ) + u2*v2*v3*(
2 3 2 3 4 4
2*m1 *n1 *n2*n3 + 2*m1 *n1*n2 *n3 - 2*m1*m2*n1 *n3 + 2*m1*m2*n2 *n3
2 3 2 3 2 2 3 2
- 2*m2 *n1 *n2*n3 - 2*m2 *n1*n2 *n3) + u2*v3 *( - m1 *n1 *n2
2 4 4 5 2 3 2 2 4 2
- m1 *n1*n2 + m1*m2*n1 *n2 - m1*m2*n2 + m2 *n1 *n2 + m2 *n1*n2 ) + u3
2 2 3 2 3 4 4
*v3 *(a33*m1 *n1 *n2 + a33*m1 *n1*n2 - a33*m1*m2*n1 + a33*m1*m2*n2
2 3 2 3 2 4
- a33*m2 *n1 *n2 - a33*m2 *n1*n2 ) + u3 *v3*( - m1*n1 *n2*n3
2 3 5 5 3 2
- 2*m1*n1 *n2 *n3 - m1*n2 *n3 + m2*n1 *n3 + 2*m2*n1 *n2 *n3
4 2 3 2 2 3
+ m2*n1*n2 *n3) + u3*v1 *v3*(2*a33*m1 *n1 *n2 - 2*a33*m1 *m2*n1
2 2 2 2 2 3
+ 4*a33*m1 *m2*n1*n2 - 4*a33*m1*m2 *n1 *n2 + 2*a33*m1*m2 *n2
3 2 2 2 3 2 3
- 2*a33*m2 *n1*n2 ) + u3*v1 *( - m1 *n1 *n2*n3 - m1 *n1*n2 *n3
4 4 2 3 2 3
+ m1*m2*n1 *n3 - m1*m2*n2 *n3 + m2 *n1 *n2*n3 + m2 *n1*n2 *n3) + u3*v1*v3
2 4 2 5 5 3 2 4
*(m1 *n1 *n2 - m1 *n2 - m1*m2*n1 + 2*m1*m2*n1 *n2 + 3*m1*m2*n1*n2
2 4 2 2 3 2 3 2
- 2*m2 *n1 *n2 - 2*m2 *n1 *n2 ) + u3*v2 *v3*(2*a33*m1 *n1 *n2
2 3 2 2 2 2
- 2*a33*m1 *m2*n1 + 4*a33*m1 *m2*n1*n2 - 4*a33*m1*m2 *n1 *n2
2 3 3 2 2 2 3
+ 2*a33*m1*m2 *n2 - 2*a33*m2 *n1*n2 ) + u3*v2 *( - m1 *n1 *n2*n3
2 3 4 4 2 3
- m1 *n1*n2 *n3 + m1*m2*n1 *n3 - m1*m2*n2 *n3 + m2 *n1 *n2*n3
2 3 2 3 2 2 4
+ m2 *n1*n2 *n3) + u3*v2*v3*(2*m1 *n1 *n2 + 2*m1 *n1*n2
4 2 3 5 2 5 2 4
- 3*m1*m2*n1 *n2 - 2*m1*m2*n1 *n2 + m1*m2*n2 + m2 *n1 - m2 *n1*n2 ) +
3 3 2 3 3 2 3 2 2
u3*v3 *(a33*m1 *n1 *n2 - a33*m1 *n2 - a33*m1 *m2*n1 + 5*a33*m1 *m2*n1*n2
2 2 2 3 3 3
- 5*a33*m1*m2 *n1 *n2 + a33*m1*m2 *n2 + a33*m2 *n1
3 2 2 2 3 2 3
- a33*m2 *n1*n2 ) + u3*v3 *(m1 *n1 *n2*n3 + m1 *n1*n2 *n3
4 4 2 3 2 3 3
- m1*m2*n1 *n3 + m1*m2*n2 *n3 - m2 *n1 *n2*n3 - m2 *n1*n2 *n3) + v1 *(
3 3 3 3 2 4 2 2 2 2 4
m1 *n1 *n2 - m1 *n1*n2 - m1 *m2*n1 + 4*m1 *m2*n1 *n2 - m1 *m2*n2
2 3 2 3 3 2 2 2
- 3*m1*m2 *n1 *n2 + 3*m1*m2 *n1*n2 - 2*m2 *n1 *n2 ) + v1 *v2*(
3 2 2 2 3 2 3 2 4
2*m1 *n1 *n2 - 3*m1 *m2*n1 *n2 + 3*m1 *m2*n1*n2 + m1*m2 *n1
2 2 2 2 4 3 3 3 3 2 2
- 4*m1*m2 *n1 *n2 + m1*m2 *n2 + m2 *n1 *n2 - m2 *n1*n2 ) + v1 *v3 *(
4 3 2 3 2 3 2
- a33*m1 *n1*n2 + a33*m1 *m2*n1 - a33*m1 *m2*n2 + a33*m1*m2 *n1
3 2 4 2 3 2
- a33*m1*m2 *n2 + a33*m2 *n1*n2) + v1 *v3*(2*m1 *n1 *n2*n3
2 3 2 2 2 2
- 2*m1 *m2*n1 *n3 + 4*m1 *m2*n1*n2 *n3 - 4*m1*m2 *n1 *n2*n3
2 3 3 2 2 3 3 3 3
+ 2*m1*m2 *n2 *n3 - 2*m2 *n1*n2 *n3) + v1*v2 *(m1 *n1 *n2 - m1 *n1*n2
2 4 2 2 2 2 4 2 3
- m1 *m2*n1 + 4*m1 *m2*n1 *n2 - m1 *m2*n2 - 3*m1*m2 *n1 *n2
2 3 3 2 2 2 3 3 3 3
+ 3*m1*m2 *n1*n2 - 2*m2 *n1 *n2 ) + v1*v3 *(m1 *n1 *n2 - m1 *n1*n2
2 4 2 2 2 2 4 2 3
- m1 *m2*n1 + 4*m1 *m2*n1 *n2 - m1 *m2*n2 - 3*m1*m2 *n1 *n2
2 3 3 2 2 3 3 2 2 2 3
+ 3*m1*m2 *n1*n2 - 2*m2 *n1 *n2 ) + v2 *(2*m1 *n1 *n2 - 3*m1 *m2*n1 *n2
2 3 2 4 2 2 2 2 4
+ 3*m1 *m2*n1*n2 + m1*m2 *n1 - 4*m1*m2 *n1 *n2 + m1*m2 *n2
3 3 3 3 2 2 4 3 2
+ m2 *n1 *n2 - m2 *n1*n2 ) + v2 *v3 *( - a33*m1 *n1*n2 + a33*m1 *m2*n1
3 2 3 2 3 2 4 2
- a33*m1 *m2*n2 + a33*m1*m2 *n1 - a33*m1*m2 *n2 + a33*m2 *n1*n2) + v2
3 2 2 3 2 2
*v3*(2*m1 *n1 *n2*n3 - 2*m1 *m2*n1 *n3 + 4*m1 *m2*n1*n2 *n3
2 2 2 3 3 2 2
- 4*m1*m2 *n1 *n2*n3 + 2*m1*m2 *n2 *n3 - 2*m2 *n1*n2 *n3) + v2*v3 *(
3 2 2 2 3 2 3 2 4
2*m1 *n1 *n2 - 3*m1 *m2*n1 *n2 + 3*m1 *m2*n1*n2 + m1*m2 *n1
2 2 2 2 4 3 3 3 3 4
- 4*m1*m2 *n1 *n2 + m1*m2 *n2 + m2 *n1 *n2 - m2 *n1*n2 ) + v3 *(
4 3 2 3 2 3 2
- a33*m1 *n1*n2 + a33*m1 *m2*n1 - a33*m1 *m2*n2 + a33*m1*m2 *n1
3 2 4 3 3 2
- a33*m1*m2 *n2 + a33*m2 *n1*n2) + v3 *(2*m1 *n1 *n2*n3
2 3 2 2 2 2
- 2*m1 *m2*n1 *n3 + 4*m1 *m2*n1*n2 *n3 - 4*m1*m2 *n1 *n2*n3
2 3 3 2
+ 2*m1*m2 *n2 *n3 - 2*m2 *n1*n2 *n3)
= a product of the elements of: { - m1*n2 + m2*n1,
3 4 2 2 4
u1 *v1*( - a33*n1 - 2*a33*n1 *n2 - a33*n2 )
2 4 2 2 4
+ u1 *u2*v2*( - a33*n1 - 2*a33*n1 *n2 - a33*n2 )
2 4 2 2 4 2
+ u1 *u3*v3*( - a33*n1 - 2*a33*n1 *n2 - a33*n2 ) + u1 *v1*v2
2 3 3 2
*(2*a33*m1*n1 *n2 + 2*a33*m1*n2 - 2*a33*m2*n1 - 2*a33*m2*n1*n2 )
2 5 3 2 4
+ u1 *v1*(n1 + 2*n1 *n2 + n1*n2 )
2 2 3 2 2 3
+ u1 *v2 *( - a33*m1*n1 - a33*m1*n1*n2 - a33*m2*n1 *n2 - a33*m2*n2 )
2 2 3 2 2 3
+ u1 *v3 *( - a33*m1*n1 - a33*m1*n1*n2 - a33*m2*n1 *n2 - a33*m2*n2 )
2 4 2 2 4 2
+ u1*u2 *v1*( - a33*n1 - 2*a33*n1 *n2 - a33*n2 ) + u1*u2*v1
2 3 3 2
*( - 2*a33*m1*n1 *n2 - 2*a33*m1*n2 + 2*a33*m2*n1 + 2*a33*m2*n1*n2 ) + u1*u2
3 2 2 3
*v1*v2*(2*a33*m1*n1 + 2*a33*m1*n1*n2 + 2*a33*m2*n1 *n2 + 2*a33*m2*n2 )
4 2 3 5 2
+ u1*u2*v1*(n1 *n2 + 2*n1 *n2 + n2 ) + u1*u2*v2
2 3 3 2
*(2*a33*m1*n1 *n2 + 2*a33*m1*n2 - 2*a33*m2*n1 - 2*a33*m2*n1*n2 )
5 3 2 4
+ u1*u2*v2*(n1 + 2*n1 *n2 + n1*n2 )
4 2 2 4
+ u1*u3*v1*(n1 *n3 + 2*n1 *n2 *n3 + n2 *n3) + u1*u3*v2*v3
2 3 3 2
*(2*a33*m1*n1 *n2 + 2*a33*m1*n2 - 2*a33*m2*n1 - 2*a33*m2*n1*n2 )
5 3 2 4 2
+ u1*u3*v3*(n1 + 2*n1 *n2 + n1*n2 ) + u1*v1 *v2
2 2 2 2
*(2*a33*m1 *n1*n2 - 2*a33*m1*m2*n1 + 2*a33*m1*m2*n2 - 2*a33*m2 *n1*n2)
2 2 2 4 3 3
+ u1*v1 *(m1*n1 *n2 + m1*n2 - m2*n1 *n2 - m2*n1*n2 )
3 3 4 4
+ u1*v1*v2*( - 2*m1*n1 *n2 - 2*m1*n1*n2 + m2*n1 - m2*n2 )
2 2 2 2 2 2 2 2 2
+ u1*v1*v3 *(a33*m1 *n1 + a33*m1 *n2 + a33*m2 *n1 + a33*m2 *n2 )
3 2 2 3
+ u1*v1*v3*( - 2*m1*n1 *n3 - 2*m1*n1*n2 *n3 - 2*m2*n1 *n2*n3 - 2*m2*n2 *n3)
3
+ u1*v2
2 2 2 2
*(2*a33*m1 *n1*n2 - 2*a33*m1*m2*n1 + 2*a33*m1*m2*n2 - 2*a33*m2 *n1*n2)
2 4 2 2 3 3 2
+ u1*v2 *(m1*n1 + m1*n1 *n2 + m2*n1 *n2 + m2*n1*n2 ) + u1*v2*v3
2 2 2 2
*(2*a33*m1 *n1*n2 - 2*a33*m1*m2*n1 + 2*a33*m1*m2*n2 - 2*a33*m2 *n1*n2)
2 4 2 2 3 3
+ u1*v3 *(m1*n1 + m1*n1 *n2 + m2*n1 *n2 + m2*n1*n2 )
3 4 2 2 4
+ u2 *v2*( - a33*n1 - 2*a33*n1 *n2 - a33*n2 )
2 4 2 2 4
+ u2 *u3*v3*( - a33*n1 - 2*a33*n1 *n2 - a33*n2 )
2 2 3 2 2 3 2
+ u2 *v1 *( - a33*m1*n1 - a33*m1*n1*n2 - a33*m2*n1 *n2 - a33*m2*n2 ) + u2
2 3 3 2
*v1*v2*( - 2*a33*m1*n1 *n2 - 2*a33*m1*n2 + 2*a33*m2*n1 + 2*a33*m2*n1*n2 )
2 4 2 3 5
+ u2 *v2*(n1 *n2 + 2*n1 *n2 + n2 )
2 2 3 2 2 3
+ u2 *v3 *( - a33*m1*n1 - a33*m1*n1*n2 - a33*m2*n1 *n2 - a33*m2*n2 ) + u2
*u3*v1*v3
2 3 3 2
*( - 2*a33*m1*n1 *n2 - 2*a33*m1*n2 + 2*a33*m2*n1 + 2*a33*m2*n1*n2 )
4 2 2 4
+ u2*u3*v2*(n1 *n3 + 2*n1 *n2 *n3 + n2 *n3)
4 2 3 5 3
+ u2*u3*v3*(n1 *n2 + 2*n1 *n2 + n2 ) + u2*v1
2 2 2 2
*( - 2*a33*m1 *n1*n2 + 2*a33*m1*m2*n1 - 2*a33*m1*m2*n2 + 2*a33*m2 *n1*n2)
2 3 3 2 2 4 2
+ u2*v1 *(m1*n1 *n2 + m1*n1*n2 + m2*n1 *n2 + m2*n2 ) + u2*v1*v2
2 2 2 2
*( - 2*a33*m1 *n1*n2 + 2*a33*m1*m2*n1 - 2*a33*m1*m2*n2 + 2*a33*m2 *n1*n2)
4 4 3 3 2
+ u2*v1*v2*( - m1*n1 + m1*n2 - 2*m2*n1 *n2 - 2*m2*n1*n2 ) + u2*v1*v3
2 2 2 2
*( - 2*a33*m1 *n1*n2 + 2*a33*m1*m2*n1 - 2*a33*m1*m2*n2 + 2*a33*m2 *n1*n2)
2 3 3 4 2 2
+ u2*v2 *( - m1*n1 *n2 - m1*n1*n2 + m2*n1 + m2*n1 *n2 )
2 2 2 2 2 2 2 2 2
+ u2*v2*v3 *(a33*m1 *n1 + a33*m1 *n2 + a33*m2 *n1 + a33*m2 *n2 )
3 2 2 3
+ u2*v2*v3*( - 2*m1*n1 *n3 - 2*m1*n1*n2 *n3 - 2*m2*n1 *n2*n3 - 2*m2*n2 *n3)
2 3 3 2 2 4
+ u2*v3 *(m1*n1 *n2 + m1*n1*n2 + m2*n1 *n2 + m2*n2 )
2 2 3 2 2 3
+ u3 *v3 *( - a33*m1*n1 - a33*m1*n1*n2 - a33*m2*n1 *n2 - a33*m2*n2 )
2 4 2 2 4
+ u3 *v3*(n1 *n3 + 2*n1 *n2 *n3 + n2 *n3)
2 2 2 2 2
+ u3*v1 *v3*( - 2*a33*m1 *n1 - 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n2 )
2 3 2 2 3
+ u3*v1 *(m1*n1 *n3 + m1*n1*n2 *n3 + m2*n1 *n2*n3 + m2*n2 *n3)
4 4 3 3
+ u3*v1*v3*( - m1*n1 + m1*n2 - 2*m2*n1 *n2 - 2*m2*n1*n2 )
2 2 2 2 2
+ u3*v2 *v3*( - 2*a33*m1 *n1 - 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n2 )
2 3 2 2 3
+ u3*v2 *(m1*n1 *n3 + m1*n1*n2 *n3 + m2*n1 *n2*n3 + m2*n2 *n3)
3 3 4 4 3
+ u3*v2*v3*( - 2*m1*n1 *n2 - 2*m1*n1*n2 + m2*n1 - m2*n2 ) + u3*v3 *(
2 2 2 2 2 2
- a33*m1 *n1 + a33*m1 *n2 - 4*a33*m1*m2*n1*n2 + a33*m2 *n1
2 2
- a33*m2 *n2 )
2 3 2 2 3
+ u3*v3 *( - m1*n1 *n3 - m1*n1*n2 *n3 - m2*n1 *n2*n3 - m2*n2 *n3)
3 2 3 2 2 2 3 2 2
+ v1 *( - m1 *n1 + m1 *n1*n2 - 3*m1*m2*n1 *n2 + m1*m2*n2 - 2*m2 *n1*n2 )
2
+ v1 *v2
2 2 3 2 2 2 2 3
*( - 2*m1 *n1 *n2 + m1*m2*n1 - 3*m1*m2*n1*n2 + m2 *n1 *n2 - m2 *n2 )
2 2 3 2 2 3
+ v1 *v3 *(a33*m1 *n1 + a33*m1 *m2*n2 + a33*m1*m2 *n1 + a33*m2 *n2)
2 2 2 2 2 2
+ v1 *v3*( - 2*m1 *n1 *n3 - 4*m1*m2*n1*n2*n3 - 2*m2 *n2 *n3) + v1*v2
2 3 2 2 2 3 2 2
*( - m1 *n1 + m1 *n1*n2 - 3*m1*m2*n1 *n2 + m1*m2*n2 - 2*m2 *n1*n2 ) + v1
2 2 3 2 2 2 3 2 2
*v3 *( - m1 *n1 + m1 *n1*n2 - 3*m1*m2*n1 *n2 + m1*m2*n2 - 2*m2 *n1*n2 )
3 2 2 3 2 2 2 2 3
+ v2 *( - 2*m1 *n1 *n2 + m1*m2*n1 - 3*m1*m2*n1*n2 + m2 *n1 *n2 - m2 *n2 )
2 2 3 2 2 3
+ v2 *v3 *(a33*m1 *n1 + a33*m1 *m2*n2 + a33*m1*m2 *n1 + a33*m2 *n2)
2 2 2 2 2 2
+ v2 *v3*( - 2*m1 *n1 *n3 - 4*m1*m2*n1*n2*n3 - 2*m2 *n2 *n3) + v2*v3
2 2 3 2 2 2 2 3
*( - 2*m1 *n1 *n2 + m1*m2*n1 - 3*m1*m2*n1*n2 + m2 *n1 *n2 - m2 *n2 )
4 3 2 2 3
+ v3 *(a33*m1 *n1 + a33*m1 *m2*n2 + a33*m1*m2 *n1 + a33*m2 *n2)
3 2 2 2 2
+ v3 *( - 2*m1 *n1 *n3 - 4*m1*m2*n1*n2*n3 - 2*m2 *n2 *n3)}
{HAM,FI} = 0
2 4 2 3 5 5
FI=u1 *(a33*m1*n1 *n2 + 2*a33*m1*n1 *n2 + a33*m1*n2 - a33*m2*n1
3 2 4 2 2 2
- 2*a33*m2*n1 *n2 - a33*m2*n1*n2 ) + u1*v2*( - 2*a33*m1 *n1 *n2
2 4 3 3 2 4
- 2*a33*m1 *n2 + 4*a33*m1*m2*n1 *n2 + 4*a33*m1*m2*n1*n2 - 2*a33*m2 *n1
2 2 2 5 3 3 5
- 2*a33*m2 *n1 *n2 ) + u1*( - m1*n1 *n2 - 2*m1*n1 *n2 - m1*n1*n2
6 4 2 2 4 2 4
+ m2*n1 + 2*m2*n1 *n2 + m2*n1 *n2 ) + u2 *(a33*m1*n1 *n2
2 3 5 5 3 2
+ 2*a33*m1*n1 *n2 + a33*m1*n2 - a33*m2*n1 - 2*a33*m2*n1 *n2
4 2 2 2 2 4
- a33*m2*n1*n2 ) + u2*v1*(2*a33*m1 *n1 *n2 + 2*a33*m1 *n2
3 3 2 4
- 4*a33*m1*m2*n1 *n2 - 4*a33*m1*m2*n1*n2 + 2*a33*m2 *n1
2 2 2 4 2 2 4 6
+ 2*a33*m2 *n1 *n2 ) + u2*( - m1*n1 *n2 - 2*m1*n1 *n2 - m1*n2
5 3 3 5 2 3
+ m2*n1 *n2 + 2*m2*n1 *n2 + m2*n1*n2 ) + u3*v3*(2*a33*m1 *n1 *n2
2 3 4 4 2 3
+ 2*a33*m1 *n1*n2 - 2*a33*m1*m2*n1 + 2*a33*m1*m2*n2 - 2*a33*m2 *n1 *n2
2 3 4 2 3 5
- 2*a33*m2 *n1*n2 ) + u3*( - m1*n1 *n2*n3 - 2*m1*n1 *n2 *n3 - m1*n2 *n3
5 3 2 4 2 4 2 5
+ m2*n1 *n3 + 2*m2*n1 *n2 *n3 + m2*n1*n2 *n3) + v1*(m1 *n1 *n2 - m1 *n2
5 3 2 4 2 4
- m1*m2*n1 + 2*m1*m2*n1 *n2 + 3*m1*m2*n1*n2 - 2*m2 *n1 *n2
2 2 3 2 3 2 2 4 4
- 2*m2 *n1 *n2 ) + v2*(2*m1 *n1 *n2 + 2*m1 *n1*n2 - 3*m1*m2*n1 *n2
2 3 5 2 5 2 4 2
- 2*m1*m2*n1 *n2 + m1*m2*n2 + m2 *n1 - m2 *n1*n2 ) + v3 *(
3 2 3 3 2 3 2 2
- a33*m1 *n1 *n2 - a33*m1 *n2 + a33*m1 *m2*n1 + a33*m1 *m2*n1*n2
2 2 2 3 3 3 3 2
- a33*m1*m2 *n1 *n2 - a33*m1*m2 *n2 + a33*m2 *n1 + a33*m2 *n1*n2 ) + v3
2 3 2 3 4 4
*(2*m1 *n1 *n2*n3 + 2*m1 *n1*n2 *n3 - 2*m1*m2*n1 *n3 + 2*m1*m2*n2 *n3
2 3 2 3
- 2*m2 *n1 *n2*n3 - 2*m2 *n1*n2 *n3)
= a product of the elements of: { - n1 + i*n2,
n1 + i*n2,
m1*n2 - m2*n1,
2 2 2
u1 *( - a33*n1 - a33*n2 ) + u1*v2*(2*a33*m1*n2 - 2*a33*m2*n1)
3 2 2 2 2
+ u1*(n1 + n1*n2 ) + u2 *( - a33*n1 - a33*n2 )
2 3
+ u2*v1*( - 2*a33*m1*n2 + 2*a33*m2*n1) + u2*(n1 *n2 + n2 )
2 2
+ u3*v3*( - 2*a33*m1*n1 - 2*a33*m2*n2) + u3*(n1 *n3 + n2 *n3)
2 2
+ v1*( - m1*n1 + m1*n2 - 2*m2*n1*n2)
2 2 2 2 2
+ v2*( - 2*m1*n1*n2 + m2*n1 - m2*n2 ) + v3 *(a33*m1 + a33*m2 )
+ v3*( - 2*m1*n1*n3 - 2*m2*n2*n3)}
{HAM,FI} = 0
And again in machine readable form:
HAM=u1*n1 + u2*n2 + u3**2*a33 + u3*n3 + v1*m1 + v2*m2$
FI=u1**4*(a33**3*m1*n1**4*n2 + 2*a33**3*m1*n1**2*n2**3 + a33**3*m1*n2**5 - a33**
3*m2*n1**5 - 2*a33**3*m2*n1**3*n2**2 - a33**3*m2*n1*n2**4) + u1**3*v2*( - 4*a33
**3*m1**2*n1**2*n2**2 - 4*a33**3*m1**2*n2**4 + 8*a33**3*m1*m2*n1**3*n2 + 8*a33**
3*m1*m2*n1*n2**3 - 4*a33**3*m2**2*n1**4 - 4*a33**3*m2**2*n1**2*n2**2) + u1**3*(
- 2*a33**2*m1*n1**5*n2 - 4*a33**2*m1*n1**3*n2**3 - 2*a33**2*m1*n1*n2**5 + 2*a33
**2*m2*n1**6 + 4*a33**2*m2*n1**4*n2**2 + 2*a33**2*m2*n1**2*n2**4) + u1**2*u2**2*
(2*a33**3*m1*n1**4*n2 + 4*a33**3*m1*n1**2*n2**3 + 2*a33**3*m1*n2**5 - 2*a33**3*
m2*n1**5 - 4*a33**3*m2*n1**3*n2**2 - 2*a33**3*m2*n1*n2**4) + u1**2*u2*v1*(4*a33
**3*m1**2*n1**2*n2**2 + 4*a33**3*m1**2*n2**4 - 8*a33**3*m1*m2*n1**3*n2 - 8*a33**
3*m1*m2*n1*n2**3 + 4*a33**3*m2**2*n1**4 + 4*a33**3*m2**2*n1**2*n2**2) + u1**2*u2
*( - 2*a33**2*m1*n1**4*n2**2 - 4*a33**2*m1*n1**2*n2**4 - 2*a33**2*m1*n2**6 + 2*
a33**2*m2*n1**5*n2 + 4*a33**2*m2*n1**3*n2**3 + 2*a33**2*m2*n1*n2**5) + u1**2*u3*
v3*(4*a33**3*m1**2*n1**3*n2 + 4*a33**3*m1**2*n1*n2**3 - 4*a33**3*m1*m2*n1**4 + 4
*a33**3*m1*m2*n2**4 - 4*a33**3*m2**2*n1**3*n2 - 4*a33**3*m2**2*n1*n2**3) + u1**2
*u3*( - 2*a33**2*m1*n1**4*n2*n3 - 4*a33**2*m1*n1**2*n2**3*n3 - 2*a33**2*m1*n2**5
*n3 + 2*a33**2*m2*n1**5*n3 + 4*a33**2*m2*n1**3*n2**2*n3 + 2*a33**2*m2*n1*n2**4*
n3) + u1**2*v1*(2*a33**2*m1**2*n1**4*n2 - 2*a33**2*m1**2*n2**5 - 2*a33**2*m1*m2*
n1**5 + 4*a33**2*m1*m2*n1**3*n2**2 + 6*a33**2*m1*m2*n1*n2**4 - 4*a33**2*m2**2*n1
**4*n2 - 4*a33**2*m2**2*n1**2*n2**3) + u1**2*v2**2*(4*a33**3*m1**3*n2**3 - 12*
a33**3*m1**2*m2*n1*n2**2 + 12*a33**3*m1*m2**2*n1**2*n2 - 4*a33**3*m2**3*n1**3) +
u1**2*v2*(8*a33**2*m1**2*n1**3*n2**2 + 8*a33**2*m1**2*n1*n2**4 - 14*a33**2*m1*
m2*n1**4*n2 - 12*a33**2*m1*m2*n1**2*n2**3 + 2*a33**2*m1*m2*n2**5 + 6*a33**2*m2**
2*n1**5 + 4*a33**2*m2**2*n1**3*n2**2 - 2*a33**2*m2**2*n1*n2**4) + u1**2*v3**2*(
- 2*a33**3*m1**3*n1**2*n2 - 2*a33**3*m1**3*n2**3 + 2*a33**3*m1**2*m2*n1**3 + 2*
a33**3*m1**2*m2*n1*n2**2 - 2*a33**3*m1*m2**2*n1**2*n2 - 2*a33**3*m1*m2**2*n2**3
+ 2*a33**3*m2**3*n1**3 + 2*a33**3*m2**3*n1*n2**2) + u1**2*v3*(4*a33**2*m1**2*n1
**3*n2*n3 + 4*a33**2*m1**2*n1*n2**3*n3 - 4*a33**2*m1*m2*n1**4*n3 + 4*a33**2*m1*
m2*n2**4*n3 - 4*a33**2*m2**2*n1**3*n2*n3 - 4*a33**2*m2**2*n1*n2**3*n3) + u1**2*(
a33*m1*n1**6*n2 + a33*m1*n1**4*n2**3 - a33*m1*n1**2*n2**5 - a33*m1*n2**7 - a33*
m2*n1**7 - a33*m2*n1**5*n2**2 + a33*m2*n1**3*n2**4 + a33*m2*n1*n2**6) + u1*u2**2
*v2*( - 4*a33**3*m1**2*n1**2*n2**2 - 4*a33**3*m1**2*n2**4 + 8*a33**3*m1*m2*n1**3
*n2 + 8*a33**3*m1*m2*n1*n2**3 - 4*a33**3*m2**2*n1**4 - 4*a33**3*m2**2*n1**2*n2**
2) + u1*u2**2*( - 2*a33**2*m1*n1**5*n2 - 4*a33**2*m1*n1**3*n2**3 - 2*a33**2*m1*
n1*n2**5 + 2*a33**2*m2*n1**6 + 4*a33**2*m2*n1**4*n2**2 + 2*a33**2*m2*n1**2*n2**4
) + u1*u2*v1*v2*( - 8*a33**3*m1**3*n2**3 + 24*a33**3*m1**2*m2*n1*n2**2 - 24*a33
**3*m1*m2**2*n1**2*n2 + 8*a33**3*m2**3*n1**3) + u1*u2*v1*( - 4*a33**2*m1**2*n1**
3*n2**2 - 4*a33**2*m1**2*n1*n2**4 + 8*a33**2*m1*m2*n1**4*n2 + 8*a33**2*m1*m2*n1
**2*n2**3 - 4*a33**2*m2**2*n1**5 - 4*a33**2*m2**2*n1**3*n2**2) + u1*u2*v2*(4*a33
**2*m1**2*n1**2*n2**3 + 4*a33**2*m1**2*n2**5 - 8*a33**2*m1*m2*n1**3*n2**2 - 8*
a33**2*m1*m2*n1*n2**4 + 4*a33**2*m2**2*n1**4*n2 + 4*a33**2*m2**2*n1**2*n2**3) +
u1*u2*(2*a33*m1*n1**5*n2**2 + 4*a33*m1*n1**3*n2**4 + 2*a33*m1*n1*n2**6 - 2*a33*
m2*n1**6*n2 - 4*a33*m2*n1**4*n2**3 - 2*a33*m2*n1**2*n2**5) + u1*u3*v2*v3*( - 8*
a33**3*m1**3*n1*n2**2 + 16*a33**3*m1**2*m2*n1**2*n2 - 8*a33**3*m1**2*m2*n2**3 -
8*a33**3*m1*m2**2*n1**3 + 16*a33**3*m1*m2**2*n1*n2**2 - 8*a33**3*m2**3*n1**2*n2)
+ u1*u3*v2*(4*a33**2*m1**2*n1**2*n2**2*n3 + 4*a33**2*m1**2*n2**4*n3 - 8*a33**2*
m1*m2*n1**3*n2*n3 - 8*a33**2*m1*m2*n1*n2**3*n3 + 4*a33**2*m2**2*n1**4*n3 + 4*a33
**2*m2**2*n1**2*n2**2*n3) + u1*u3*v3*( - 4*a33**2*m1**2*n1**4*n2 - 4*a33**2*m1**
2*n1**2*n2**3 + 4*a33**2*m1*m2*n1**5 - 4*a33**2*m1*m2*n1*n2**4 + 4*a33**2*m2**2*
n1**4*n2 + 4*a33**2*m2**2*n1**2*n2**3) + u1*u3*(2*a33*m1*n1**5*n2*n3 + 4*a33*m1*
n1**3*n2**3*n3 + 2*a33*m1*n1*n2**5*n3 - 2*a33*m2*n1**6*n3 - 4*a33*m2*n1**4*n2**2
*n3 - 2*a33*m2*n1**2*n2**4*n3) + u1*v1*v2*( - 4*a33**2*m1**3*n1**2*n2**2 + 4*a33
**2*m1**3*n2**4 + 8*a33**2*m1**2*m2*n1**3*n2 - 16*a33**2*m1**2*m2*n1*n2**3 - 4*
a33**2*m1*m2**2*n1**4 + 20*a33**2*m1*m2**2*n1**2*n2**2 - 8*a33**2*m2**3*n1**3*n2
) + u1*v1*( - 2*a33*m1**2*n1**5*n2 + 4*a33*m1**2*n1**3*n2**3 + 6*a33*m1**2*n1*n2
**5 + 2*a33*m1*m2*n1**6 - 10*a33*m1*m2*n1**4*n2**2 - 10*a33*m1*m2*n1**2*n2**4 +
2*a33*m1*m2*n2**6 + 6*a33*m2**2*n1**5*n2 + 4*a33*m2**2*n1**3*n2**3 - 2*a33*m2**2
*n1*n2**5) + u1*v2**2*( - 8*a33**2*m1**3*n1*n2**3 + 20*a33**2*m1**2*m2*n1**2*n2
**2 - 4*a33**2*m1**2*m2*n2**4 - 16*a33**2*m1*m2**2*n1**3*n2 + 8*a33**2*m1*m2**2*
n1*n2**3 + 4*a33**2*m2**3*n1**4 - 4*a33**2*m2**3*n1**2*n2**2) + u1*v2*v3**2*(4*
a33**3*m1**4*n2**2 - 8*a33**3*m1**3*m2*n1*n2 + 4*a33**3*m1**2*m2**2*n1**2 + 4*
a33**3*m1**2*m2**2*n2**2 - 8*a33**3*m1*m2**3*n1*n2 + 4*a33**3*m2**4*n1**2) + u1*
v2*v3*( - 8*a33**2*m1**3*n1*n2**2*n3 + 16*a33**2*m1**2*m2*n1**2*n2*n3 - 8*a33**2
*m1**2*m2*n2**3*n3 - 8*a33**2*m1*m2**2*n1**3*n3 + 16*a33**2*m1*m2**2*n1*n2**2*n3
- 8*a33**2*m2**3*n1**2*n2*n3) + u1*v2*( - 4*a33*m1**2*n1**4*n2**2 - 2*a33*m1**2
*n1**2*n2**4 + 2*a33*m1**2*n2**6 + 6*a33*m1*m2*n1**5*n2 - 6*a33*m1*m2*n1*n2**5 -
2*a33*m2**2*n1**6 + 2*a33*m2**2*n1**4*n2**2 + 4*a33*m2**2*n1**2*n2**4) + u1*v3
**2*(2*a33**2*m1**3*n1**3*n2 + 2*a33**2*m1**3*n1*n2**3 - 2*a33**2*m1**2*m2*n1**4
- 2*a33**2*m1**2*m2*n1**2*n2**2 + 2*a33**2*m1*m2**2*n1**3*n2 + 2*a33**2*m1*m2**
2*n1*n2**3 - 2*a33**2*m2**3*n1**4 - 2*a33**2*m2**3*n1**2*n2**2) + u1*v3*( - 4*
a33*m1**2*n1**4*n2*n3 - 4*a33*m1**2*n1**2*n2**3*n3 + 4*a33*m1*m2*n1**5*n3 - 4*
a33*m1*m2*n1*n2**4*n3 + 4*a33*m2**2*n1**4*n2*n3 + 4*a33*m2**2*n1**2*n2**3*n3) +
u1*(m1*n1**5*n2**3 - m1*n1**5*n2*n3**2 + 2*m1*n1**3*n2**5 - 2*m1*n1**3*n2**3*n3
**2 + m1*n1*n2**7 - m1*n1*n2**5*n3**2 - m2*n1**6*n2**2 + m2*n1**6*n3**2 - 2*m2*
n1**4*n2**4 + 2*m2*n1**4*n2**2*n3**2 - m2*n1**2*n2**6 + m2*n1**2*n2**4*n3**2) +
u2**4*(a33**3*m1*n1**4*n2 + 2*a33**3*m1*n1**2*n2**3 + a33**3*m1*n2**5 - a33**3*
m2*n1**5 - 2*a33**3*m2*n1**3*n2**2 - a33**3*m2*n1*n2**4) + u2**3*v1*(4*a33**3*m1
**2*n1**2*n2**2 + 4*a33**3*m1**2*n2**4 - 8*a33**3*m1*m2*n1**3*n2 - 8*a33**3*m1*
m2*n1*n2**3 + 4*a33**3*m2**2*n1**4 + 4*a33**3*m2**2*n1**2*n2**2) + u2**3*( - 2*
a33**2*m1*n1**4*n2**2 - 4*a33**2*m1*n1**2*n2**4 - 2*a33**2*m1*n2**6 + 2*a33**2*
m2*n1**5*n2 + 4*a33**2*m2*n1**3*n2**3 + 2*a33**2*m2*n1*n2**5) + u2**2*u3*v3*(4*
a33**3*m1**2*n1**3*n2 + 4*a33**3*m1**2*n1*n2**3 - 4*a33**3*m1*m2*n1**4 + 4*a33**
3*m1*m2*n2**4 - 4*a33**3*m2**2*n1**3*n2 - 4*a33**3*m2**2*n1*n2**3) + u2**2*u3*(
- 2*a33**2*m1*n1**4*n2*n3 - 4*a33**2*m1*n1**2*n2**3*n3 - 2*a33**2*m1*n2**5*n3 +
2*a33**2*m2*n1**5*n3 + 4*a33**2*m2*n1**3*n2**2*n3 + 2*a33**2*m2*n1*n2**4*n3) +
u2**2*v1**2*(4*a33**3*m1**3*n2**3 - 12*a33**3*m1**2*m2*n1*n2**2 + 12*a33**3*m1*
m2**2*n1**2*n2 - 4*a33**3*m2**3*n1**3) + u2**2*v1*(2*a33**2*m1**2*n1**4*n2 - 4*
a33**2*m1**2*n1**2*n2**3 - 6*a33**2*m1**2*n2**5 - 2*a33**2*m1*m2*n1**5 + 12*a33
**2*m1*m2*n1**3*n2**2 + 14*a33**2*m1*m2*n1*n2**4 - 8*a33**2*m2**2*n1**4*n2 - 8*
a33**2*m2**2*n1**2*n2**3) + u2**2*v2*(4*a33**2*m1**2*n1**3*n2**2 + 4*a33**2*m1**
2*n1*n2**4 - 6*a33**2*m1*m2*n1**4*n2 - 4*a33**2*m1*m2*n1**2*n2**3 + 2*a33**2*m1*
m2*n2**5 + 2*a33**2*m2**2*n1**5 - 2*a33**2*m2**2*n1*n2**4) + u2**2*v3**2*( - 2*
a33**3*m1**3*n1**2*n2 - 2*a33**3*m1**3*n2**3 + 2*a33**3*m1**2*m2*n1**3 + 2*a33**
3*m1**2*m2*n1*n2**2 - 2*a33**3*m1*m2**2*n1**2*n2 - 2*a33**3*m1*m2**2*n2**3 + 2*
a33**3*m2**3*n1**3 + 2*a33**3*m2**3*n1*n2**2) + u2**2*v3*(4*a33**2*m1**2*n1**3*
n2*n3 + 4*a33**2*m1**2*n1*n2**3*n3 - 4*a33**2*m1*m2*n1**4*n3 + 4*a33**2*m1*m2*n2
**4*n3 - 4*a33**2*m2**2*n1**3*n2*n3 - 4*a33**2*m2**2*n1*n2**3*n3) + u2*u3*v1*v3*
(8*a33**3*m1**3*n1*n2**2 - 16*a33**3*m1**2*m2*n1**2*n2 + 8*a33**3*m1**2*m2*n2**3
+ 8*a33**3*m1*m2**2*n1**3 - 16*a33**3*m1*m2**2*n1*n2**2 + 8*a33**3*m2**3*n1**2*
n2) + u2*u3*v1*( - 4*a33**2*m1**2*n1**2*n2**2*n3 - 4*a33**2*m1**2*n2**4*n3 + 8*
a33**2*m1*m2*n1**3*n2*n3 + 8*a33**2*m1*m2*n1*n2**3*n3 - 4*a33**2*m2**2*n1**4*n3
- 4*a33**2*m2**2*n1**2*n2**2*n3) + u2*u3*v3*( - 4*a33**2*m1**2*n1**3*n2**2 - 4*
a33**2*m1**2*n1*n2**4 + 4*a33**2*m1*m2*n1**4*n2 - 4*a33**2*m1*m2*n2**5 + 4*a33**
2*m2**2*n1**3*n2**2 + 4*a33**2*m2**2*n1*n2**4) + u2*u3*(2*a33*m1*n1**4*n2**2*n3
+ 4*a33*m1*n1**2*n2**4*n3 + 2*a33*m1*n2**6*n3 - 2*a33*m2*n1**5*n2*n3 - 4*a33*m2*
n1**3*n2**3*n3 - 2*a33*m2*n1*n2**5*n3) + u2*v1**2*(4*a33**2*m1**3*n1**2*n2**2 -
4*a33**2*m1**3*n2**4 - 8*a33**2*m1**2*m2*n1**3*n2 + 16*a33**2*m1**2*m2*n1*n2**3
+ 4*a33**2*m1*m2**2*n1**4 - 20*a33**2*m1*m2**2*n1**2*n2**2 + 8*a33**2*m2**3*n1**
3*n2) + u2*v1*v2*(8*a33**2*m1**3*n1*n2**3 - 20*a33**2*m1**2*m2*n1**2*n2**2 + 4*
a33**2*m1**2*m2*n2**4 + 16*a33**2*m1*m2**2*n1**3*n2 - 8*a33**2*m1*m2**2*n1*n2**3
- 4*a33**2*m2**3*n1**4 + 4*a33**2*m2**3*n1**2*n2**2) + u2*v1*v3**2*( - 4*a33**3
*m1**4*n2**2 + 8*a33**3*m1**3*m2*n1*n2 - 4*a33**3*m1**2*m2**2*n1**2 - 4*a33**3*
m1**2*m2**2*n2**2 + 8*a33**3*m1*m2**3*n1*n2 - 4*a33**3*m2**4*n1**2) + u2*v1*v3*(
8*a33**2*m1**3*n1*n2**2*n3 - 16*a33**2*m1**2*m2*n1**2*n2*n3 + 8*a33**2*m1**2*m2*
n2**3*n3 + 8*a33**2*m1*m2**2*n1**3*n3 - 16*a33**2*m1*m2**2*n1*n2**2*n3 + 8*a33**
2*m2**3*n1**2*n2*n3) + u2*v1*( - 2*a33*m1**2*n1**4*n2**2 - 2*a33*m1**2*n1**2*n2
**4 + 2*a33*m1*m2*n1**5*n2 - 2*a33*m1*m2*n1*n2**5 + 2*a33*m2**2*n1**4*n2**2 + 2*
a33*m2**2*n1**2*n2**4) + u2*v3**2*(2*a33**2*m1**3*n1**2*n2**2 + 2*a33**2*m1**3*
n2**4 - 2*a33**2*m1**2*m2*n1**3*n2 - 2*a33**2*m1**2*m2*n1*n2**3 + 2*a33**2*m1*m2
**2*n1**2*n2**2 + 2*a33**2*m1*m2**2*n2**4 - 2*a33**2*m2**3*n1**3*n2 - 2*a33**2*
m2**3*n1*n2**3) + u2*v3*( - 4*a33*m1**2*n1**3*n2**2*n3 - 4*a33*m1**2*n1*n2**4*n3
+ 4*a33*m1*m2*n1**4*n2*n3 - 4*a33*m1*m2*n2**5*n3 + 4*a33*m2**2*n1**3*n2**2*n3 +
4*a33*m2**2*n1*n2**4*n3) + u2*(m1*n1**4*n2**4 - m1*n1**4*n2**2*n3**2 + 2*m1*n1
**2*n2**6 - 2*m1*n1**2*n2**4*n3**2 + m1*n2**8 - m1*n2**6*n3**2 - m2*n1**5*n2**3
+ m2*n1**5*n2*n3**2 - 2*m2*n1**3*n2**5 + 2*m2*n1**3*n2**3*n3**2 - m2*n1*n2**7 +
m2*n1*n2**5*n3**2) + u3**2*v3**2*(4*a33**3*m1**3*n1**2*n2 - 4*a33**3*m1**2*m2*n1
**3 + 8*a33**3*m1**2*m2*n1*n2**2 - 8*a33**3*m1*m2**2*n1**2*n2 + 4*a33**3*m1*m2**
2*n2**3 - 4*a33**3*m2**3*n1*n2**2) + u3**2*v3*( - 4*a33**2*m1**2*n1**3*n2*n3 - 4
*a33**2*m1**2*n1*n2**3*n3 + 4*a33**2*m1*m2*n1**4*n3 - 4*a33**2*m1*m2*n2**4*n3 +
4*a33**2*m2**2*n1**3*n2*n3 + 4*a33**2*m2**2*n1*n2**3*n3) + u3*v1*v3*(4*a33**2*m1
**3*n1**3*n2 - 4*a33**2*m1**3*n1*n2**3 - 4*a33**2*m1**2*m2*n1**4 + 16*a33**2*m1
**2*m2*n1**2*n2**2 - 4*a33**2*m1**2*m2*n2**4 - 12*a33**2*m1*m2**2*n1**3*n2 + 12*
a33**2*m1*m2**2*n1*n2**3 - 8*a33**2*m2**3*n1**2*n2**2) + u3*v1*( - 2*a33*m1**2*
n1**4*n2*n3 + 2*a33*m1**2*n2**5*n3 + 2*a33*m1*m2*n1**5*n3 - 4*a33*m1*m2*n1**3*n2
**2*n3 - 6*a33*m1*m2*n1*n2**4*n3 + 4*a33*m2**2*n1**4*n2*n3 + 4*a33*m2**2*n1**2*
n2**3*n3) + u3*v2*v3*(8*a33**2*m1**3*n1**2*n2**2 - 12*a33**2*m1**2*m2*n1**3*n2 +
12*a33**2*m1**2*m2*n1*n2**3 + 4*a33**2*m1*m2**2*n1**4 - 16*a33**2*m1*m2**2*n1**
2*n2**2 + 4*a33**2*m1*m2**2*n2**4 + 4*a33**2*m2**3*n1**3*n2 - 4*a33**2*m2**3*n1*
n2**3) + u3*v2*( - 4*a33*m1**2*n1**3*n2**2*n3 - 4*a33*m1**2*n1*n2**4*n3 + 6*a33*
m1*m2*n1**4*n2*n3 + 4*a33*m1*m2*n1**2*n2**3*n3 - 2*a33*m1*m2*n2**5*n3 - 2*a33*m2
**2*n1**5*n3 + 2*a33*m2**2*n1*n2**4*n3) + u3*v3**3*( - 4*a33**3*m1**4*n1*n2 + 4*
a33**3*m1**3*m2*n1**2 - 4*a33**3*m1**3*m2*n2**2 + 4*a33**3*m1*m2**3*n1**2 - 4*
a33**3*m1*m2**3*n2**2 + 4*a33**3*m2**4*n1*n2) + u3*v3**2*(10*a33**2*m1**3*n1**2*
n2*n3 + 2*a33**2*m1**3*n2**3*n3 - 10*a33**2*m1**2*m2*n1**3*n3 + 14*a33**2*m1**2*
m2*n1*n2**2*n3 - 14*a33**2*m1*m2**2*n1**2*n2*n3 + 10*a33**2*m1*m2**2*n2**3*n3 -
2*a33**2*m2**3*n1**3*n3 - 10*a33**2*m2**3*n1*n2**2*n3) + u3*v3*(2*a33*m1**2*n1**
3*n2**3 - 4*a33*m1**2*n1**3*n2*n3**2 + 2*a33*m1**2*n1*n2**5 - 4*a33*m1**2*n1*n2
**3*n3**2 - 4*a33*m1*m2*n1**4*n2**2 + 4*a33*m1*m2*n1**4*n3**2 - 4*a33*m1*m2*n1**
2*n2**4 - 4*a33*m1*m2*n2**4*n3**2 + 2*a33*m2**2*n1**5*n2 + 2*a33*m2**2*n1**3*n2
**3 + 4*a33*m2**2*n1**3*n2*n3**2 + 4*a33*m2**2*n1*n2**3*n3**2) + u3*(m1*n1**4*n2
**3*n3 - m1*n1**4*n2*n3**3 + 2*m1*n1**2*n2**5*n3 - 2*m1*n1**2*n2**3*n3**3 + m1*
n2**7*n3 - m1*n2**5*n3**3 - m2*n1**5*n2**2*n3 + m2*n1**5*n3**3 - 2*m2*n1**3*n2**
4*n3 + 2*m2*n1**3*n2**2*n3**3 - m2*n1*n2**6*n3 + m2*n1*n2**4*n3**3) + v1*v2*(4*
a33*m1**3*n1**3*n2**2 - 4*a33*m1**3*n1*n2**4 - 6*a33*m1**2*m2*n1**4*n2 + 16*a33*
m1**2*m2*n1**2*n2**3 - 2*a33*m1**2*m2*n2**5 + 2*a33*m1*m2**2*n1**5 - 16*a33*m1*
m2**2*n1**3*n2**2 + 6*a33*m1*m2**2*n1*n2**4 + 4*a33*m2**3*n1**4*n2 - 4*a33*m2**3
*n1**2*n2**3) + v1*v3**2*( - 2*a33**2*m1**4*n1**2*n2 + 2*a33**2*m1**4*n2**3 + 2*
a33**2*m1**3*m2*n1**3 - 6*a33**2*m1**3*m2*n1*n2**2 + 2*a33**2*m1**2*m2**2*n1**2*
n2 + 2*a33**2*m1**2*m2**2*n2**3 + 2*a33**2*m1*m2**3*n1**3 - 6*a33**2*m1*m2**3*n1
*n2**2 + 4*a33**2*m2**4*n1**2*n2) + v1*v3*(4*a33*m1**3*n1**3*n2*n3 - 4*a33*m1**3
*n1*n2**3*n3 - 4*a33*m1**2*m2*n1**4*n3 + 16*a33*m1**2*m2*n1**2*n2**2*n3 - 4*a33*
m1**2*m2*n2**4*n3 - 12*a33*m1*m2**2*n1**3*n2*n3 + 12*a33*m1*m2**2*n1*n2**3*n3 -
8*a33*m2**3*n1**2*n2**2*n3) + v1*( - m1**2*n1**4*n2**3 - m1**2*n1**4*n2*n3**2 -
2*m1**2*n1**2*n2**3*n3**2 + m1**2*n2**7 - m1**2*n2**5*n3**2 + m1*m2*n1**5*n2**2
+ m1*m2*n1**5*n3**2 - 2*m1*m2*n1**3*n2**4 + 2*m1*m2*n1**3*n2**2*n3**2 - 3*m1*m2*
n1*n2**6 + m1*m2*n1*n2**4*n3**2 + 2*m2**2*n1**4*n2**3 + 2*m2**2*n1**2*n2**5) +
v2**2*( - a33*m1**3*n1**4*n2 + 6*a33*m1**3*n1**2*n2**3 - a33*m1**3*n2**5 + a33*
m1**2*m2*n1**5 - 14*a33*m1**2*m2*n1**3*n2**2 + 9*a33*m1**2*m2*n1*n2**4 + 9*a33*
m1*m2**2*n1**4*n2 - 14*a33*m1*m2**2*n1**2*n2**3 + a33*m1*m2**2*n2**5 - a33*m2**3
*n1**5 + 6*a33*m2**3*n1**3*n2**2 - a33*m2**3*n1*n2**4) + v2*v3**2*( - 4*a33**2*
m1**4*n1*n2**2 + 6*a33**2*m1**3*m2*n1**2*n2 - 2*a33**2*m1**3*m2*n2**3 - 2*a33**2
*m1**2*m2**2*n1**3 - 2*a33**2*m1**2*m2**2*n1*n2**2 + 6*a33**2*m1*m2**3*n1**2*n2
- 2*a33**2*m1*m2**3*n2**3 - 2*a33**2*m2**4*n1**3 + 2*a33**2*m2**4*n1*n2**2) + v2
*v3*(8*a33*m1**3*n1**2*n2**2*n3 - 12*a33*m1**2*m2*n1**3*n2*n3 + 12*a33*m1**2*m2*
n1*n2**3*n3 + 4*a33*m1*m2**2*n1**4*n3 - 16*a33*m1*m2**2*n1**2*n2**2*n3 + 4*a33*
m1*m2**2*n2**4*n3 + 4*a33*m2**3*n1**3*n2*n3 - 4*a33*m2**3*n1*n2**3*n3) + v2*( -
2*m1**2*n1**3*n2**4 - 2*m1**2*n1*n2**6 + 3*m1*m2*n1**4*n2**3 - m1*m2*n1**4*n2*n3
**2 + 2*m1*m2*n1**2*n2**5 - 2*m1*m2*n1**2*n2**3*n3**2 - m1*m2*n2**7 - m1*m2*n2**
5*n3**2 - m2**2*n1**5*n2**2 + m2**2*n1**5*n3**2 + 2*m2**2*n1**3*n2**2*n3**2 + m2
**2*n1*n2**6 + m2**2*n1*n2**4*n3**2) + v3**4*(a33**3*m1**5*n2 - a33**3*m1**4*m2*
n1 + 2*a33**3*m1**3*m2**2*n2 - 2*a33**3*m1**2*m2**3*n1 + a33**3*m1*m2**4*n2 -
a33**3*m2**5*n1) + v3**3*( - 4*a33**2*m1**4*n1*n2*n3 + 4*a33**2*m1**3*m2*n1**2*
n3 - 4*a33**2*m1**3*m2*n2**2*n3 + 4*a33**2*m1*m2**3*n1**2*n3 - 4*a33**2*m1*m2**3
*n2**2*n3 + 4*a33**2*m2**4*n1*n2*n3) + v3**2*( - a33*m1**3*n1**4*n2 + 3*a33*m1**
3*n1**2*n2**3 + 4*a33*m1**3*n1**2*n2*n3**2 + a33*m1**2*m2*n1**5 - 7*a33*m1**2*m2
*n1**3*n2**2 - 4*a33*m1**2*m2*n1**3*n3**2 + 4*a33*m1**2*m2*n1*n2**4 + 8*a33*m1**
2*m2*n1*n2**2*n3**2 + 4*a33*m1*m2**2*n1**4*n2 - 7*a33*m1*m2**2*n1**2*n2**3 - 8*
a33*m1*m2**2*n1**2*n2*n3**2 + a33*m1*m2**2*n2**5 + 4*a33*m1*m2**2*n2**3*n3**2 +
3*a33*m2**3*n1**3*n2**2 - a33*m2**3*n1*n2**4 - 4*a33*m2**3*n1*n2**2*n3**2) + v3*
( - 2*m1**2*n1**3*n2**3*n3 - 2*m1**2*n1*n2**5*n3 + 2*m1*m2*n1**4*n2**2*n3 - 2*m1
*m2*n2**6*n3 + 2*m2**2*n1**3*n2**3*n3 + 2*m2**2*n1*n2**5*n3)$
FI=u1**2*v2**2*( - a33*m1*n1**4*n2 - 2*a33*m1*n1**2*n2**3 - a33*m1*n2**5 + a33*
m2*n1**5 + 2*a33*m2*n1**3*n2**2 + a33*m2*n1*n2**4) + u1**2*v3**2*( - a33*m1*n1**
4*n2 - 2*a33*m1*n1**2*n2**3 - a33*m1*n2**5 + a33*m2*n1**5 + 2*a33*m2*n1**3*n2**2
+ a33*m2*n1*n2**4) + u1*u2*v1*v2*(2*a33*m1*n1**4*n2 + 4*a33*m1*n1**2*n2**3 + 2*
a33*m1*n2**5 - 2*a33*m2*n1**5 - 4*a33*m2*n1**3*n2**2 - 2*a33*m2*n1*n2**4) + u1*
u3*v1*v3*(2*a33*m1*n1**4*n2 + 4*a33*m1*n1**2*n2**3 + 2*a33*m1*n2**5 - 2*a33*m2*
n1**5 - 4*a33*m2*n1**3*n2**2 - 2*a33*m2*n1*n2**4) + u1*v1**2*v2*(2*a33*m1**2*n1
**2*n2**2 + 2*a33*m1**2*n2**4 - 4*a33*m1*m2*n1**3*n2 - 4*a33*m1*m2*n1*n2**3 + 2*
a33*m2**2*n1**4 + 2*a33*m2**2*n1**2*n2**2) + u1*v1**2*(m1*n1**5*n2 + 2*m1*n1**3*
n2**3 + m1*n1*n2**5 - m2*n1**6 - 2*m2*n1**4*n2**2 - m2*n1**2*n2**4) + u1*v2**3*(
2*a33*m1**2*n1**2*n2**2 + 2*a33*m1**2*n2**4 - 4*a33*m1*m2*n1**3*n2 - 4*a33*m1*m2
*n1*n2**3 + 2*a33*m2**2*n1**4 + 2*a33*m2**2*n1**2*n2**2) + u1*v2**2*(m1*n1**5*n2
+ 2*m1*n1**3*n2**3 + m1*n1*n2**5 - m2*n1**6 - 2*m2*n1**4*n2**2 - m2*n1**2*n2**4
) + u1*v2*v3**2*(2*a33*m1**2*n1**2*n2**2 + 2*a33*m1**2*n2**4 - 4*a33*m1*m2*n1**3
*n2 - 4*a33*m1*m2*n1*n2**3 + 2*a33*m2**2*n1**4 + 2*a33*m2**2*n1**2*n2**2) + u1*
v3**2*(m1*n1**5*n2 + 2*m1*n1**3*n2**3 + m1*n1*n2**5 - m2*n1**6 - 2*m2*n1**4*n2**
2 - m2*n1**2*n2**4) + u2**2*v1**2*( - a33*m1*n1**4*n2 - 2*a33*m1*n1**2*n2**3 -
a33*m1*n2**5 + a33*m2*n1**5 + 2*a33*m2*n1**3*n2**2 + a33*m2*n1*n2**4) + u2**2*v3
**2*( - a33*m1*n1**4*n2 - 2*a33*m1*n1**2*n2**3 - a33*m1*n2**5 + a33*m2*n1**5 + 2
*a33*m2*n1**3*n2**2 + a33*m2*n1*n2**4) + u2*u3*v2*v3*(2*a33*m1*n1**4*n2 + 4*a33*
m1*n1**2*n2**3 + 2*a33*m1*n2**5 - 2*a33*m2*n1**5 - 4*a33*m2*n1**3*n2**2 - 2*a33*
m2*n1*n2**4) + u2*v1**3*( - 2*a33*m1**2*n1**2*n2**2 - 2*a33*m1**2*n2**4 + 4*a33*
m1*m2*n1**3*n2 + 4*a33*m1*m2*n1*n2**3 - 2*a33*m2**2*n1**4 - 2*a33*m2**2*n1**2*n2
**2) + u2*v1**2*(m1*n1**4*n2**2 + 2*m1*n1**2*n2**4 + m1*n2**6 - m2*n1**5*n2 - 2*
m2*n1**3*n2**3 - m2*n1*n2**5) + u2*v1*v2**2*( - 2*a33*m1**2*n1**2*n2**2 - 2*a33*
m1**2*n2**4 + 4*a33*m1*m2*n1**3*n2 + 4*a33*m1*m2*n1*n2**3 - 2*a33*m2**2*n1**4 -
2*a33*m2**2*n1**2*n2**2) + u2*v1*v3**2*( - 2*a33*m1**2*n1**2*n2**2 - 2*a33*m1**2
*n2**4 + 4*a33*m1*m2*n1**3*n2 + 4*a33*m1*m2*n1*n2**3 - 2*a33*m2**2*n1**4 - 2*a33
*m2**2*n1**2*n2**2) + u2*v2**2*(m1*n1**4*n2**2 + 2*m1*n1**2*n2**4 + m1*n2**6 -
m2*n1**5*n2 - 2*m2*n1**3*n2**3 - m2*n1*n2**5) + u2*v3**2*(m1*n1**4*n2**2 + 2*m1*
n1**2*n2**4 + m1*n2**6 - m2*n1**5*n2 - 2*m2*n1**3*n2**3 - m2*n1*n2**5) + u3**2*
v3**2*(a33*m1*n1**4*n2 + 2*a33*m1*n1**2*n2**3 + a33*m1*n2**5 - a33*m2*n1**5 - 2*
a33*m2*n1**3*n2**2 - a33*m2*n1*n2**4) + u3*v1**2*v3*( - 2*a33*m1**2*n1**3*n2 - 2
*a33*m1**2*n1*n2**3 + 2*a33*m1*m2*n1**4 - 2*a33*m1*m2*n2**4 + 2*a33*m2**2*n1**3*
n2 + 2*a33*m2**2*n1*n2**3) + u3*v1**2*(m1*n1**4*n2*n3 + 2*m1*n1**2*n2**3*n3 + m1
*n2**5*n3 - m2*n1**5*n3 - 2*m2*n1**3*n2**2*n3 - m2*n1*n2**4*n3) + u3*v2**2*v3*(
- 2*a33*m1**2*n1**3*n2 - 2*a33*m1**2*n1*n2**3 + 2*a33*m1*m2*n1**4 - 2*a33*m1*m2*
n2**4 + 2*a33*m2**2*n1**3*n2 + 2*a33*m2**2*n1*n2**3) + u3*v2**2*(m1*n1**4*n2*n3
+ 2*m1*n1**2*n2**3*n3 + m1*n2**5*n3 - m2*n1**5*n3 - 2*m2*n1**3*n2**2*n3 - m2*n1*
n2**4*n3) + u3*v3**3*( - 2*a33*m1**2*n1**3*n2 - 2*a33*m1**2*n1*n2**3 + 2*a33*m1*
m2*n1**4 - 2*a33*m1*m2*n2**4 + 2*a33*m2**2*n1**3*n2 + 2*a33*m2**2*n1*n2**3) + u3
*v3**2*(m1*n1**4*n2*n3 + 2*m1*n1**2*n2**3*n3 + m1*n2**5*n3 - m2*n1**5*n3 - 2*m2*
n1**3*n2**2*n3 - m2*n1*n2**4*n3) + v1**3*( - m1**2*n1**4*n2 + m1**2*n2**5 + m1*
m2*n1**5 - 2*m1*m2*n1**3*n2**2 - 3*m1*m2*n1*n2**4 + 2*m2**2*n1**4*n2 + 2*m2**2*
n1**2*n2**3) + v1**2*v2*( - 2*m1**2*n1**3*n2**2 - 2*m1**2*n1*n2**4 + 3*m1*m2*n1
**4*n2 + 2*m1*m2*n1**2*n2**3 - m1*m2*n2**5 - m2**2*n1**5 + m2**2*n1*n2**4) + v1
**2*v3**2*(a33*m1**3*n1**2*n2 + a33*m1**3*n2**3 - a33*m1**2*m2*n1**3 - a33*m1**2
*m2*n1*n2**2 + a33*m1*m2**2*n1**2*n2 + a33*m1*m2**2*n2**3 - a33*m2**3*n1**3 -
a33*m2**3*n1*n2**2) + v1**2*v3*( - 2*m1**2*n1**3*n2*n3 - 2*m1**2*n1*n2**3*n3 + 2
*m1*m2*n1**4*n3 - 2*m1*m2*n2**4*n3 + 2*m2**2*n1**3*n2*n3 + 2*m2**2*n1*n2**3*n3)
+ v1*v2**2*( - m1**2*n1**4*n2 + m1**2*n2**5 + m1*m2*n1**5 - 2*m1*m2*n1**3*n2**2
- 3*m1*m2*n1*n2**4 + 2*m2**2*n1**4*n2 + 2*m2**2*n1**2*n2**3) + v1*v3**2*( - m1**
2*n1**4*n2 + m1**2*n2**5 + m1*m2*n1**5 - 2*m1*m2*n1**3*n2**2 - 3*m1*m2*n1*n2**4
+ 2*m2**2*n1**4*n2 + 2*m2**2*n1**2*n2**3) + v2**3*( - 2*m1**2*n1**3*n2**2 - 2*m1
**2*n1*n2**4 + 3*m1*m2*n1**4*n2 + 2*m1*m2*n1**2*n2**3 - m1*m2*n2**5 - m2**2*n1**
5 + m2**2*n1*n2**4) + v2**2*v3**2*(a33*m1**3*n1**2*n2 + a33*m1**3*n2**3 - a33*m1
**2*m2*n1**3 - a33*m1**2*m2*n1*n2**2 + a33*m1*m2**2*n1**2*n2 + a33*m1*m2**2*n2**
3 - a33*m2**3*n1**3 - a33*m2**3*n1*n2**2) + v2**2*v3*( - 2*m1**2*n1**3*n2*n3 - 2
*m1**2*n1*n2**3*n3 + 2*m1*m2*n1**4*n3 - 2*m1*m2*n2**4*n3 + 2*m2**2*n1**3*n2*n3 +
2*m2**2*n1*n2**3*n3) + v2*v3**2*( - 2*m1**2*n1**3*n2**2 - 2*m1**2*n1*n2**4 + 3*
m1*m2*n1**4*n2 + 2*m1*m2*n1**2*n2**3 - m1*m2*n2**5 - m2**2*n1**5 + m2**2*n1*n2**
4) + v3**4*(a33*m1**3*n1**2*n2 + a33*m1**3*n2**3 - a33*m1**2*m2*n1**3 - a33*m1**
2*m2*n1*n2**2 + a33*m1*m2**2*n1**2*n2 + a33*m1*m2**2*n2**3 - a33*m2**3*n1**3 -
a33*m2**3*n1*n2**2) + v3**3*( - 2*m1**2*n1**3*n2*n3 - 2*m1**2*n1*n2**3*n3 + 2*m1
*m2*n1**4*n3 - 2*m1*m2*n2**4*n3 + 2*m2**2*n1**3*n2*n3 + 2*m2**2*n1*n2**3*n3)$
FI=u1**3*v1*(a33*m1*n1**4*n2 + 2*a33*m1*n1**2*n2**3 + a33*m1*n2**5 - a33*m2*n1**
5 - 2*a33*m2*n1**3*n2**2 - a33*m2*n1*n2**4) + u1**2*u2*v2*(a33*m1*n1**4*n2 + 2*
a33*m1*n1**2*n2**3 + a33*m1*n2**5 - a33*m2*n1**5 - 2*a33*m2*n1**3*n2**2 - a33*m2
*n1*n2**4) + u1**2*u3*v3*(a33*m1*n1**4*n2 + 2*a33*m1*n1**2*n2**3 + a33*m1*n2**5
- a33*m2*n1**5 - 2*a33*m2*n1**3*n2**2 - a33*m2*n1*n2**4) + u1**2*v1*v2*( - 2*a33
*m1**2*n1**2*n2**2 - 2*a33*m1**2*n2**4 + 4*a33*m1*m2*n1**3*n2 + 4*a33*m1*m2*n1*
n2**3 - 2*a33*m2**2*n1**4 - 2*a33*m2**2*n1**2*n2**2) + u1**2*v1*( - m1*n1**5*n2
- 2*m1*n1**3*n2**3 - m1*n1*n2**5 + m2*n1**6 + 2*m2*n1**4*n2**2 + m2*n1**2*n2**4)
+ u1**2*v2**2*(a33*m1**2*n1**3*n2 + a33*m1**2*n1*n2**3 - a33*m1*m2*n1**4 + a33*
m1*m2*n2**4 - a33*m2**2*n1**3*n2 - a33*m2**2*n1*n2**3) + u1**2*v3**2*(a33*m1**2*
n1**3*n2 + a33*m1**2*n1*n2**3 - a33*m1*m2*n1**4 + a33*m1*m2*n2**4 - a33*m2**2*n1
**3*n2 - a33*m2**2*n1*n2**3) + u1*u2**2*v1*(a33*m1*n1**4*n2 + 2*a33*m1*n1**2*n2
**3 + a33*m1*n2**5 - a33*m2*n1**5 - 2*a33*m2*n1**3*n2**2 - a33*m2*n1*n2**4) + u1
*u2*v1**2*(2*a33*m1**2*n1**2*n2**2 + 2*a33*m1**2*n2**4 - 4*a33*m1*m2*n1**3*n2 -
4*a33*m1*m2*n1*n2**3 + 2*a33*m2**2*n1**4 + 2*a33*m2**2*n1**2*n2**2) + u1*u2*v1*
v2*( - 2*a33*m1**2*n1**3*n2 - 2*a33*m1**2*n1*n2**3 + 2*a33*m1*m2*n1**4 - 2*a33*
m1*m2*n2**4 + 2*a33*m2**2*n1**3*n2 + 2*a33*m2**2*n1*n2**3) + u1*u2*v1*( - m1*n1
**4*n2**2 - 2*m1*n1**2*n2**4 - m1*n2**6 + m2*n1**5*n2 + 2*m2*n1**3*n2**3 + m2*n1
*n2**5) + u1*u2*v2**2*( - 2*a33*m1**2*n1**2*n2**2 - 2*a33*m1**2*n2**4 + 4*a33*m1
*m2*n1**3*n2 + 4*a33*m1*m2*n1*n2**3 - 2*a33*m2**2*n1**4 - 2*a33*m2**2*n1**2*n2**
2) + u1*u2*v2*( - m1*n1**5*n2 - 2*m1*n1**3*n2**3 - m1*n1*n2**5 + m2*n1**6 + 2*m2
*n1**4*n2**2 + m2*n1**2*n2**4) + u1*u3*v1*( - m1*n1**4*n2*n3 - 2*m1*n1**2*n2**3*
n3 - m1*n2**5*n3 + m2*n1**5*n3 + 2*m2*n1**3*n2**2*n3 + m2*n1*n2**4*n3) + u1*u3*
v2*v3*( - 2*a33*m1**2*n1**2*n2**2 - 2*a33*m1**2*n2**4 + 4*a33*m1*m2*n1**3*n2 + 4
*a33*m1*m2*n1*n2**3 - 2*a33*m2**2*n1**4 - 2*a33*m2**2*n1**2*n2**2) + u1*u3*v3*(
- m1*n1**5*n2 - 2*m1*n1**3*n2**3 - m1*n1*n2**5 + m2*n1**6 + 2*m2*n1**4*n2**2 +
m2*n1**2*n2**4) + u1*v1**2*v2*( - 2*a33*m1**3*n1*n2**2 + 4*a33*m1**2*m2*n1**2*n2
- 2*a33*m1**2*m2*n2**3 - 2*a33*m1*m2**2*n1**3 + 4*a33*m1*m2**2*n1*n2**2 - 2*a33
*m2**3*n1**2*n2) + u1*v1**2*( - m1**2*n1**2*n2**3 - m1**2*n2**5 + 2*m1*m2*n1**3*
n2**2 + 2*m1*m2*n1*n2**4 - m2**2*n1**4*n2 - m2**2*n1**2*n2**3) + u1*v1*v2*(2*m1
**2*n1**3*n2**2 + 2*m1**2*n1*n2**4 - 3*m1*m2*n1**4*n2 - 2*m1*m2*n1**2*n2**3 + m1
*m2*n2**5 + m2**2*n1**5 - m2**2*n1*n2**4) + u1*v1*v3**2*( - a33*m1**3*n1**2*n2 -
a33*m1**3*n2**3 + a33*m1**2*m2*n1**3 + a33*m1**2*m2*n1*n2**2 - a33*m1*m2**2*n1
**2*n2 - a33*m1*m2**2*n2**3 + a33*m2**3*n1**3 + a33*m2**3*n1*n2**2) + u1*v1*v3*(
2*m1**2*n1**3*n2*n3 + 2*m1**2*n1*n2**3*n3 - 2*m1*m2*n1**4*n3 + 2*m1*m2*n2**4*n3
- 2*m2**2*n1**3*n2*n3 - 2*m2**2*n1*n2**3*n3) + u1*v2**3*( - 2*a33*m1**3*n1*n2**2
+ 4*a33*m1**2*m2*n1**2*n2 - 2*a33*m1**2*m2*n2**3 - 2*a33*m1*m2**2*n1**3 + 4*a33
*m1*m2**2*n1*n2**2 - 2*a33*m2**3*n1**2*n2) + u1*v2**2*( - m1**2*n1**4*n2 - m1**2
*n1**2*n2**3 + m1*m2*n1**5 - m1*m2*n1*n2**4 + m2**2*n1**4*n2 + m2**2*n1**2*n2**3
) + u1*v2*v3**2*( - 2*a33*m1**3*n1*n2**2 + 4*a33*m1**2*m2*n1**2*n2 - 2*a33*m1**2
*m2*n2**3 - 2*a33*m1*m2**2*n1**3 + 4*a33*m1*m2**2*n1*n2**2 - 2*a33*m2**3*n1**2*
n2) + u1*v3**2*( - m1**2*n1**4*n2 - m1**2*n1**2*n2**3 + m1*m2*n1**5 - m1*m2*n1*
n2**4 + m2**2*n1**4*n2 + m2**2*n1**2*n2**3) + u2**3*v2*(a33*m1*n1**4*n2 + 2*a33*
m1*n1**2*n2**3 + a33*m1*n2**5 - a33*m2*n1**5 - 2*a33*m2*n1**3*n2**2 - a33*m2*n1*
n2**4) + u2**2*u3*v3*(a33*m1*n1**4*n2 + 2*a33*m1*n1**2*n2**3 + a33*m1*n2**5 -
a33*m2*n1**5 - 2*a33*m2*n1**3*n2**2 - a33*m2*n1*n2**4) + u2**2*v1**2*(a33*m1**2*
n1**3*n2 + a33*m1**2*n1*n2**3 - a33*m1*m2*n1**4 + a33*m1*m2*n2**4 - a33*m2**2*n1
**3*n2 - a33*m2**2*n1*n2**3) + u2**2*v1*v2*(2*a33*m1**2*n1**2*n2**2 + 2*a33*m1**
2*n2**4 - 4*a33*m1*m2*n1**3*n2 - 4*a33*m1*m2*n1*n2**3 + 2*a33*m2**2*n1**4 + 2*
a33*m2**2*n1**2*n2**2) + u2**2*v2*( - m1*n1**4*n2**2 - 2*m1*n1**2*n2**4 - m1*n2
**6 + m2*n1**5*n2 + 2*m2*n1**3*n2**3 + m2*n1*n2**5) + u2**2*v3**2*(a33*m1**2*n1
**3*n2 + a33*m1**2*n1*n2**3 - a33*m1*m2*n1**4 + a33*m1*m2*n2**4 - a33*m2**2*n1**
3*n2 - a33*m2**2*n1*n2**3) + u2*u3*v1*v3*(2*a33*m1**2*n1**2*n2**2 + 2*a33*m1**2*
n2**4 - 4*a33*m1*m2*n1**3*n2 - 4*a33*m1*m2*n1*n2**3 + 2*a33*m2**2*n1**4 + 2*a33*
m2**2*n1**2*n2**2) + u2*u3*v2*( - m1*n1**4*n2*n3 - 2*m1*n1**2*n2**3*n3 - m1*n2**
5*n3 + m2*n1**5*n3 + 2*m2*n1**3*n2**2*n3 + m2*n1*n2**4*n3) + u2*u3*v3*( - m1*n1
**4*n2**2 - 2*m1*n1**2*n2**4 - m1*n2**6 + m2*n1**5*n2 + 2*m2*n1**3*n2**3 + m2*n1
*n2**5) + u2*v1**3*(2*a33*m1**3*n1*n2**2 - 4*a33*m1**2*m2*n1**2*n2 + 2*a33*m1**2
*m2*n2**3 + 2*a33*m1*m2**2*n1**3 - 4*a33*m1*m2**2*n1*n2**2 + 2*a33*m2**3*n1**2*
n2) + u2*v1**2*( - m1**2*n1**3*n2**2 - m1**2*n1*n2**4 + m1*m2*n1**4*n2 - m1*m2*
n2**5 + m2**2*n1**3*n2**2 + m2**2*n1*n2**4) + u2*v1*v2**2*(2*a33*m1**3*n1*n2**2
- 4*a33*m1**2*m2*n1**2*n2 + 2*a33*m1**2*m2*n2**3 + 2*a33*m1*m2**2*n1**3 - 4*a33*
m1*m2**2*n1*n2**2 + 2*a33*m2**3*n1**2*n2) + u2*v1*v2*(m1**2*n1**4*n2 - m1**2*n2
**5 - m1*m2*n1**5 + 2*m1*m2*n1**3*n2**2 + 3*m1*m2*n1*n2**4 - 2*m2**2*n1**4*n2 -
2*m2**2*n1**2*n2**3) + u2*v1*v3**2*(2*a33*m1**3*n1*n2**2 - 4*a33*m1**2*m2*n1**2*
n2 + 2*a33*m1**2*m2*n2**3 + 2*a33*m1*m2**2*n1**3 - 4*a33*m1*m2**2*n1*n2**2 + 2*
a33*m2**3*n1**2*n2) + u2*v2**2*(m1**2*n1**3*n2**2 + m1**2*n1*n2**4 - 2*m1*m2*n1
**4*n2 - 2*m1*m2*n1**2*n2**3 + m2**2*n1**5 + m2**2*n1**3*n2**2) + u2*v2*v3**2*(
- a33*m1**3*n1**2*n2 - a33*m1**3*n2**3 + a33*m1**2*m2*n1**3 + a33*m1**2*m2*n1*n2
**2 - a33*m1*m2**2*n1**2*n2 - a33*m1*m2**2*n2**3 + a33*m2**3*n1**3 + a33*m2**3*
n1*n2**2) + u2*v2*v3*(2*m1**2*n1**3*n2*n3 + 2*m1**2*n1*n2**3*n3 - 2*m1*m2*n1**4*
n3 + 2*m1*m2*n2**4*n3 - 2*m2**2*n1**3*n2*n3 - 2*m2**2*n1*n2**3*n3) + u2*v3**2*(
- m1**2*n1**3*n2**2 - m1**2*n1*n2**4 + m1*m2*n1**4*n2 - m1*m2*n2**5 + m2**2*n1**
3*n2**2 + m2**2*n1*n2**4) + u3**2*v3**2*(a33*m1**2*n1**3*n2 + a33*m1**2*n1*n2**3
- a33*m1*m2*n1**4 + a33*m1*m2*n2**4 - a33*m2**2*n1**3*n2 - a33*m2**2*n1*n2**3)
+ u3**2*v3*( - m1*n1**4*n2*n3 - 2*m1*n1**2*n2**3*n3 - m1*n2**5*n3 + m2*n1**5*n3
+ 2*m2*n1**3*n2**2*n3 + m2*n1*n2**4*n3) + u3*v1**2*v3*(2*a33*m1**3*n1**2*n2 - 2*
a33*m1**2*m2*n1**3 + 4*a33*m1**2*m2*n1*n2**2 - 4*a33*m1*m2**2*n1**2*n2 + 2*a33*
m1*m2**2*n2**3 - 2*a33*m2**3*n1*n2**2) + u3*v1**2*( - m1**2*n1**3*n2*n3 - m1**2*
n1*n2**3*n3 + m1*m2*n1**4*n3 - m1*m2*n2**4*n3 + m2**2*n1**3*n2*n3 + m2**2*n1*n2
**3*n3) + u3*v1*v3*(m1**2*n1**4*n2 - m1**2*n2**5 - m1*m2*n1**5 + 2*m1*m2*n1**3*
n2**2 + 3*m1*m2*n1*n2**4 - 2*m2**2*n1**4*n2 - 2*m2**2*n1**2*n2**3) + u3*v2**2*v3
*(2*a33*m1**3*n1**2*n2 - 2*a33*m1**2*m2*n1**3 + 4*a33*m1**2*m2*n1*n2**2 - 4*a33*
m1*m2**2*n1**2*n2 + 2*a33*m1*m2**2*n2**3 - 2*a33*m2**3*n1*n2**2) + u3*v2**2*( -
m1**2*n1**3*n2*n3 - m1**2*n1*n2**3*n3 + m1*m2*n1**4*n3 - m1*m2*n2**4*n3 + m2**2*
n1**3*n2*n3 + m2**2*n1*n2**3*n3) + u3*v2*v3*(2*m1**2*n1**3*n2**2 + 2*m1**2*n1*n2
**4 - 3*m1*m2*n1**4*n2 - 2*m1*m2*n1**2*n2**3 + m1*m2*n2**5 + m2**2*n1**5 - m2**2
*n1*n2**4) + u3*v3**3*(a33*m1**3*n1**2*n2 - a33*m1**3*n2**3 - a33*m1**2*m2*n1**3
+ 5*a33*m1**2*m2*n1*n2**2 - 5*a33*m1*m2**2*n1**2*n2 + a33*m1*m2**2*n2**3 + a33*
m2**3*n1**3 - a33*m2**3*n1*n2**2) + u3*v3**2*(m1**2*n1**3*n2*n3 + m1**2*n1*n2**3
*n3 - m1*m2*n1**4*n3 + m1*m2*n2**4*n3 - m2**2*n1**3*n2*n3 - m2**2*n1*n2**3*n3) +
v1**3*(m1**3*n1**3*n2 - m1**3*n1*n2**3 - m1**2*m2*n1**4 + 4*m1**2*m2*n1**2*n2**
2 - m1**2*m2*n2**4 - 3*m1*m2**2*n1**3*n2 + 3*m1*m2**2*n1*n2**3 - 2*m2**3*n1**2*
n2**2) + v1**2*v2*(2*m1**3*n1**2*n2**2 - 3*m1**2*m2*n1**3*n2 + 3*m1**2*m2*n1*n2
**3 + m1*m2**2*n1**4 - 4*m1*m2**2*n1**2*n2**2 + m1*m2**2*n2**4 + m2**3*n1**3*n2
- m2**3*n1*n2**3) + v1**2*v3**2*( - a33*m1**4*n1*n2 + a33*m1**3*m2*n1**2 - a33*
m1**3*m2*n2**2 + a33*m1*m2**3*n1**2 - a33*m1*m2**3*n2**2 + a33*m2**4*n1*n2) + v1
**2*v3*(2*m1**3*n1**2*n2*n3 - 2*m1**2*m2*n1**3*n3 + 4*m1**2*m2*n1*n2**2*n3 - 4*
m1*m2**2*n1**2*n2*n3 + 2*m1*m2**2*n2**3*n3 - 2*m2**3*n1*n2**2*n3) + v1*v2**2*(m1
**3*n1**3*n2 - m1**3*n1*n2**3 - m1**2*m2*n1**4 + 4*m1**2*m2*n1**2*n2**2 - m1**2*
m2*n2**4 - 3*m1*m2**2*n1**3*n2 + 3*m1*m2**2*n1*n2**3 - 2*m2**3*n1**2*n2**2) + v1
*v3**2*(m1**3*n1**3*n2 - m1**3*n1*n2**3 - m1**2*m2*n1**4 + 4*m1**2*m2*n1**2*n2**
2 - m1**2*m2*n2**4 - 3*m1*m2**2*n1**3*n2 + 3*m1*m2**2*n1*n2**3 - 2*m2**3*n1**2*
n2**2) + v2**3*(2*m1**3*n1**2*n2**2 - 3*m1**2*m2*n1**3*n2 + 3*m1**2*m2*n1*n2**3
+ m1*m2**2*n1**4 - 4*m1*m2**2*n1**2*n2**2 + m1*m2**2*n2**4 + m2**3*n1**3*n2 - m2
**3*n1*n2**3) + v2**2*v3**2*( - a33*m1**4*n1*n2 + a33*m1**3*m2*n1**2 - a33*m1**3
*m2*n2**2 + a33*m1*m2**3*n1**2 - a33*m1*m2**3*n2**2 + a33*m2**4*n1*n2) + v2**2*
v3*(2*m1**3*n1**2*n2*n3 - 2*m1**2*m2*n1**3*n3 + 4*m1**2*m2*n1*n2**2*n3 - 4*m1*m2
**2*n1**2*n2*n3 + 2*m1*m2**2*n2**3*n3 - 2*m2**3*n1*n2**2*n3) + v2*v3**2*(2*m1**3
*n1**2*n2**2 - 3*m1**2*m2*n1**3*n2 + 3*m1**2*m2*n1*n2**3 + m1*m2**2*n1**4 - 4*m1
*m2**2*n1**2*n2**2 + m1*m2**2*n2**4 + m2**3*n1**3*n2 - m2**3*n1*n2**3) + v3**4*(
- a33*m1**4*n1*n2 + a33*m1**3*m2*n1**2 - a33*m1**3*m2*n2**2 + a33*m1*m2**3*n1**
2 - a33*m1*m2**3*n2**2 + a33*m2**4*n1*n2) + v3**3*(2*m1**3*n1**2*n2*n3 - 2*m1**2
*m2*n1**3*n3 + 4*m1**2*m2*n1*n2**2*n3 - 4*m1*m2**2*n1**2*n2*n3 + 2*m1*m2**2*n2**
3*n3 - 2*m2**3*n1*n2**2*n3)$
FI=u1**2*(a33*m1*n1**4*n2 + 2*a33*m1*n1**2*n2**3 + a33*m1*n2**5 - a33*m2*n1**5 -
2*a33*m2*n1**3*n2**2 - a33*m2*n1*n2**4) + u1*v2*( - 2*a33*m1**2*n1**2*n2**2 - 2
*a33*m1**2*n2**4 + 4*a33*m1*m2*n1**3*n2 + 4*a33*m1*m2*n1*n2**3 - 2*a33*m2**2*n1
**4 - 2*a33*m2**2*n1**2*n2**2) + u1*( - m1*n1**5*n2 - 2*m1*n1**3*n2**3 - m1*n1*
n2**5 + m2*n1**6 + 2*m2*n1**4*n2**2 + m2*n1**2*n2**4) + u2**2*(a33*m1*n1**4*n2 +
2*a33*m1*n1**2*n2**3 + a33*m1*n2**5 - a33*m2*n1**5 - 2*a33*m2*n1**3*n2**2 - a33
*m2*n1*n2**4) + u2*v1*(2*a33*m1**2*n1**2*n2**2 + 2*a33*m1**2*n2**4 - 4*a33*m1*m2
*n1**3*n2 - 4*a33*m1*m2*n1*n2**3 + 2*a33*m2**2*n1**4 + 2*a33*m2**2*n1**2*n2**2)
+ u2*( - m1*n1**4*n2**2 - 2*m1*n1**2*n2**4 - m1*n2**6 + m2*n1**5*n2 + 2*m2*n1**3
*n2**3 + m2*n1*n2**5) + u3*v3*(2*a33*m1**2*n1**3*n2 + 2*a33*m1**2*n1*n2**3 - 2*
a33*m1*m2*n1**4 + 2*a33*m1*m2*n2**4 - 2*a33*m2**2*n1**3*n2 - 2*a33*m2**2*n1*n2**
3) + u3*( - m1*n1**4*n2*n3 - 2*m1*n1**2*n2**3*n3 - m1*n2**5*n3 + m2*n1**5*n3 + 2
*m2*n1**3*n2**2*n3 + m2*n1*n2**4*n3) + v1*(m1**2*n1**4*n2 - m1**2*n2**5 - m1*m2*
n1**5 + 2*m1*m2*n1**3*n2**2 + 3*m1*m2*n1*n2**4 - 2*m2**2*n1**4*n2 - 2*m2**2*n1**
2*n2**3) + v2*(2*m1**2*n1**3*n2**2 + 2*m1**2*n1*n2**4 - 3*m1*m2*n1**4*n2 - 2*m1*
m2*n1**2*n2**3 + m1*m2*n2**5 + m2**2*n1**5 - m2**2*n1*n2**4) + v3**2*( - a33*m1
**3*n1**2*n2 - a33*m1**3*n2**3 + a33*m1**2*m2*n1**3 + a33*m1**2*m2*n1*n2**2 -
a33*m1*m2**2*n1**2*n2 - a33*m1*m2**2*n2**3 + a33*m2**3*n1**3 + a33*m2**3*n1*n2**
2) + v3*(2*m1**2*n1**3*n2*n3 + 2*m1**2*n1*n2**3*n3 - 2*m1*m2*n1**4*n3 + 2*m1*m2*
n2**4*n3 - 2*m2**2*n1**3*n2*n3 - 2*m2**2*n1*n2**3*n3)$