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This output from the file \texttt{program10_1.red}.\\$

Computation of all complex    structures on the real Lie Algebra$

USD {\mathcal{G}}_{6,m10}.USD$

\\ Case USD xi(4,3) \neq xi(2,1) USD$

\smallskip  \par $

Commutation relations for$

USD {\mathcal{G}}_{6,m10}:USD\\$

USD[x(1),x(2)]=x(3)USD;$

USD[x(1),x(3)]=x(5)USD;$

USD[x(1),x(4)]=x(6)USD;$

USD[x(2),x(3)]= - x(6)USD;$

USD[x(2),x(4)]=x(5)USD;$

\P$

Nonzero torsion$

\par$

\\Torsion equations to cancel (Latex output) : \\USD$

{1,2}|1\\(xi(2,2) + xi(1,1))*xi(1,3) + xi(3,1)*xi(1,6) + xi(3,2)*xi(1,5) - xi(4,
1)*xi(1,5) + xi(4,2)*xi(1,6)\\$

{1,2}|2\\(xi(2,2) + xi(1,1))*xi(2,3) + xi(3,1)*xi(2,6) + xi(3,2)*xi(2,5) - xi(4,
1)*xi(2,5) + xi(4,2)*xi(2,6)\\$

{1,2}|3\\xi(2,1)*xi(1,2) + 1 - xi(2,2)*xi(1,1) + (xi(2,2) + xi(1,1))*xi(3,3) + 
xi(3,5)*xi(3,2) + xi(3,6)*xi(3,1) - xi(4,1)*xi(3,5) + xi(4,2)*xi(3,6)\\$

{1,2}|4\\ - ((xi(4,1) - xi(3,2))*xi(4,5) - (xi(2,2) + xi(1,1))*xi(4,3)) + (xi(4,
2) + xi(3,1))*xi(4,6)\\$

{1,2}|5\\ - (xi(3,2)*xi(1,1) - xi(3,1)*xi(1,2) - xi(4,1)*xi(2,2) + xi(4,2)*xi(2,
1) - (xi(2,2) + xi(1,1))*xi(5,3) + (xi(4,1) - xi(3,2))*xi(5,5)) + (xi(4,2) + xi(
3,1))*xi(5,6)\\$

{1,2}|6\\xi(3,2)*xi(2,1) - xi(3,1)*xi(2,2) + xi(4,1)*xi(1,2) - xi(4,2)*xi(1,1) +
 (xi(2,2) + xi(1,1))*xi(6,3) - (xi(4,1) - xi(3,2))*xi(6,5) + (xi(4,2) + xi(3,1))
*xi(6,6)\\$

{1,3}|1\\ - (xi(2,1)*xi(1,6) - xi(1,5)*xi(1,1) - xi(2,3)*xi(1,3) - xi(3,3)*xi(1,
5)) + xi(4,3)*xi(1,6)\\$

{1,3}|2\\xi(2,5)*xi(1,1) + xi(2,3)**2 - xi(2,6)*xi(2,1) + xi(3,3)*xi(2,5) + xi(4
,3)*xi(2,6)\\$

{1,3}|3\\ - (xi(2,3)*xi(1,1) - xi(2,1)*xi(1,3) - xi(3,3)*xi(2,3) - (xi(3,3) + xi
(1,1))*xi(3,5) + xi(3,6)*xi(2,1)) + xi(4,3)*xi(3,6)\\$

{1,3}|4\\xi(4,5)*xi(3,3) + xi(4,5)*xi(1,1) + xi(4,3)*xi(2,3) + (xi(4,3) - xi(2,1
))*xi(4,6)\\$

{1,3}|5\\xi(3,1)*xi(1,3) + 1 - xi(3,3)*xi(1,1) + xi(4,1)*xi(2,3) - xi(4,3)*xi(2,
1) + xi(5,3)*xi(2,3) + (xi(3,3) + xi(1,1))*xi(5,5) + (xi(4,3) - xi(2,1))*xi(5,6)
\\$

{1,3}|6\\xi(3,3)*xi(2,1) - xi(3,1)*xi(2,3) + xi(4,1)*xi(1,3) - xi(4,3)*xi(1,1) +
 xi(6,3)*xi(2,3) + (xi(3,3) + xi(1,1))*xi(6,5) + (xi(4,3) - xi(2,1))*xi(6,6)\\$

{1,4}|1\\xi(2,1)*xi(1,5) + xi(1,6)*xi(1,1) + xi(2,4)*xi(1,3) + xi(3,4)*xi(1,5) +
 xi(4,4)*xi(1,6)\\$

{1,4}|2\\xi(2,5)*xi(2,1) + xi(2,4)*xi(2,3) + xi(2,6)*xi(1,1) + xi(3,4)*xi(2,5) +
 xi(4,4)*xi(2,6)\\$

{1,4}|3\\ - (xi(2,4)*xi(1,1) - xi(2,1)*xi(1,4) - xi(3,3)*xi(2,4) - (xi(3,4) + xi
(2,1))*xi(3,5) - xi(3,6)*xi(1,1)) + xi(4,4)*xi(3,6)\\$

{1,4}|4\\xi(4,5)*xi(3,4) + xi(4,5)*xi(2,1) + xi(4,3)*xi(2,4) + (xi(4,4) + xi(1,1
))*xi(4,6)\\$

{1,4}|5\\ - (xi(3,4)*xi(1,1) - xi(3,1)*xi(1,4) - xi(4,1)*xi(2,4) + xi(4,4)*xi(2,
1) - xi(5,3)*xi(2,4) - (xi(3,4) + xi(2,1))*xi(5,5)) + (xi(4,4) + xi(1,1))*xi(5,6
)\\$

{1,4}|6\\ - (xi(3,1)*xi(2,4) - 1 - xi(3,4)*xi(2,1) - xi(4,1)*xi(1,4) + xi(4,4)*
xi(1,1) - xi(6,3)*xi(2,4) - (xi(3,4) + xi(2,1))*xi(6,5)) + (xi(4,4) + xi(1,1))*
xi(6,6)\\$

{1,5}|1\\xi(3,5)*xi(1,5) + xi(2,5)*xi(1,3) + xi(4,5)*xi(1,6)\\$

{1,5}|2\\(xi(3,5) + xi(2,3))*xi(2,5) + xi(4,5)*xi(2,6)\\$

{1,5}|3\\ - (xi(2,5)*xi(1,1) - xi(2,1)*xi(1,5) - xi(3,3)*xi(2,5) - xi(3,5)**2) +
 xi(4,5)*xi(3,6)\\$

{1,5}|4\\xi(4,5)*xi(3,5) + xi(4,3)*xi(2,5) + xi(4,6)*xi(4,5)\\$

{1,5}|5\\ - (xi(3,5)*xi(1,1) - xi(3,1)*xi(1,5) - xi(4,1)*xi(2,5) + xi(4,5)*xi(2,
1) - xi(5,3)*xi(2,5) - xi(5,5)*xi(3,5)) + xi(5,6)*xi(4,5)\\$

{1,5}|6\\xi(3,5)*xi(2,1) - xi(3,1)*xi(2,5) + xi(4,1)*xi(1,5) - xi(4,5)*xi(1,1) +
 xi(6,3)*xi(2,5) + xi(6,5)*xi(3,5) + xi(6,6)*xi(4,5)\\$

{1,6}|1\\xi(3,6)*xi(1,5) + xi(2,6)*xi(1,3) + xi(4,6)*xi(1,6)\\$

{1,6}|2\\xi(3,6)*xi(2,5) + xi(2,6)*xi(2,3) + xi(4,6)*xi(2,6)\\$

{1,6}|3\\ - (xi(2,6)*xi(1,1) - xi(2,1)*xi(1,6) - xi(3,3)*xi(2,6) - xi(3,6)*xi(3,
5)) + xi(4,6)*xi(3,6)\\$

{1,6}|4\\xi(4,5)*xi(3,6) + xi(4,3)*xi(2,6) + xi(4,6)**2\\$

{1,6}|5\\ - (xi(3,6)*xi(1,1) - xi(3,1)*xi(1,6) - xi(4,1)*xi(2,6) + xi(4,6)*xi(2,
1) - xi(5,3)*xi(2,6) - xi(5,5)*xi(3,6)) + xi(5,6)*xi(4,6)\\$

{1,6}|6\\xi(3,6)*xi(2,1) - xi(3,1)*xi(2,6) + xi(4,1)*xi(1,6) - xi(4,6)*xi(1,1) +
 xi(6,3)*xi(2,6) + xi(6,5)*xi(3,6) + xi(6,6)*xi(4,6)\\$

{2,3}|1\\xi(1,5)*xi(1,2) - xi(1,3)**2 - xi(2,2)*xi(1,6) - xi(3,3)*xi(1,6) + xi(4
,3)*xi(1,5)\\$

{2,3}|2\\xi(2,5)*xi(1,2) - xi(2,3)*xi(1,3) - xi(2,6)*xi(2,2) - xi(3,3)*xi(2,6) +
 xi(4,3)*xi(2,5)\\$

{2,3}|3\\ - (xi(2,3)*xi(1,2) - xi(2,2)*xi(1,3) + xi(3,3)*xi(1,3) - xi(3,5)*xi(1,
2) + (xi(3,3) + xi(2,2))*xi(3,6)) + xi(4,3)*xi(3,5)\\$

{2,3}|4\\xi(4,5)*xi(4,3) + xi(4,5)*xi(1,2) - xi(4,3)*xi(1,3) - (xi(3,3) + xi(2,2
))*xi(4,6)\\$

{2,3}|5\\ - (xi(3,3)*xi(1,2) - xi(3,2)*xi(1,3) - xi(4,2)*xi(2,3) + xi(4,3)*xi(2,
2) + xi(5,3)*xi(1,3) - (xi(4,3) + xi(1,2))*xi(5,5)) - (xi(3,3) + xi(2,2))*xi(5,6
)\\$

{2,3}|6\\ - (xi(3,2)*xi(2,3) + 1 - xi(3,3)*xi(2,2) - xi(4,2)*xi(1,3) + xi(4,3)*
xi(1,2) + xi(6,3)*xi(1,3) - (xi(4,3) + xi(1,2))*xi(6,5)) - (xi(3,3) + xi(2,2))*
xi(6,6)\\$

{2,4}|1\\xi(1,6)*xi(1,2) - xi(1,4)*xi(1,3) + xi(2,2)*xi(1,5) - xi(3,4)*xi(1,6) +
 xi(4,4)*xi(1,5)\\$

{2,4}|2\\xi(2,5)*xi(2,2) - xi(2,3)*xi(1,4) + xi(2,6)*xi(1,2) - xi(3,4)*xi(2,6) +
 xi(4,4)*xi(2,5)\\$

{2,4}|3\\ - (xi(2,4)*xi(1,2) - xi(2,2)*xi(1,4) + xi(3,3)*xi(1,4) - xi(3,5)*xi(2,
2) + (xi(3,4) - xi(1,2))*xi(3,6)) + xi(4,4)*xi(3,5)\\$

{2,4}|4\\xi(4,5)*xi(4,4) + xi(4,5)*xi(2,2) - xi(4,3)*xi(1,4) - (xi(3,4) - xi(1,2
))*xi(4,6)\\$

{2,4}|5\\xi(3,2)*xi(1,4) + 1 - xi(3,4)*xi(1,2) + xi(4,2)*xi(2,4) - xi(4,4)*xi(2,
2) - xi(5,3)*xi(1,4) + (xi(4,4) + xi(2,2))*xi(5,5) - (xi(3,4) - xi(1,2))*xi(5,6)
\\$

{2,4}|6\\xi(3,4)*xi(2,2) - xi(3,2)*xi(2,4) + xi(4,2)*xi(1,4) - xi(4,4)*xi(1,2) -
 xi(6,3)*xi(1,4) + (xi(4,4) + xi(2,2))*xi(6,5) - (xi(3,4) - xi(1,2))*xi(6,6)\\$

{2,5}|1\\ - (xi(3,5)*xi(1,6) + xi(1,5)*xi(1,3)) + xi(4,5)*xi(1,5)\\$

{2,5}|2\\ - (xi(3,5)*xi(2,6) + xi(2,3)*xi(1,5)) + xi(4,5)*xi(2,5)\\$

{2,5}|3\\ - (xi(2,5)*xi(1,2) - xi(2,2)*xi(1,5) + xi(3,3)*xi(1,5) + xi(3,6)*xi(3,
5)) + xi(4,5)*xi(3,5)\\$

{2,5}|4\\xi(4,5)**2 - xi(4,3)*xi(1,5) - xi(4,6)*xi(3,5)\\$

{2,5}|5\\ - (xi(3,5)*xi(1,2) - xi(3,2)*xi(1,5) - xi(4,2)*xi(2,5) + xi(4,5)*xi(2,
2) + xi(5,3)*xi(1,5) - xi(5,5)*xi(4,5)) - xi(5,6)*xi(3,5)\\$

{2,5}|6\\xi(3,5)*xi(2,2) - xi(3,2)*xi(2,5) + xi(4,2)*xi(1,5) - xi(4,5)*xi(1,2) -
 xi(6,3)*xi(1,5) + xi(6,5)*xi(4,5) - xi(6,6)*xi(3,5)\\$

{2,6}|1\\ - (xi(3,6) + xi(1,3))*xi(1,6) + xi(4,6)*xi(1,5)\\$

{2,6}|2\\ - (xi(3,6)*xi(2,6) + xi(2,3)*xi(1,6)) + xi(4,6)*xi(2,5)\\$

{2,6}|3\\ - (xi(2,6)*xi(1,2) - xi(2,2)*xi(1,6) + xi(3,3)*xi(1,6) + xi(3,6)**2) +
 xi(4,6)*xi(3,5)\\$

{2,6}|4\\xi(4,6)*xi(4,5) - xi(4,6)*xi(3,6) - xi(4,3)*xi(1,6)\\$

{2,6}|5\\ - (xi(3,6)*xi(1,2) - xi(3,2)*xi(1,6) - xi(4,2)*xi(2,6) + xi(4,6)*xi(2,
2) + xi(5,3)*xi(1,6) - xi(5,5)*xi(4,6)) - xi(5,6)*xi(3,6)\\$

{2,6}|6\\xi(3,6)*xi(2,2) - xi(3,2)*xi(2,6) + xi(4,2)*xi(1,6) - xi(4,6)*xi(1,2) -
 xi(6,3)*xi(1,6) + xi(6,5)*xi(4,6) - xi(6,6)*xi(3,6)\\$

{3,4}|1\\xi(1,6)*xi(1,3) - xi(1,5)*xi(1,4) + xi(2,3)*xi(1,5) + xi(2,4)*xi(1,6)\\
$

{3,4}|2\\(xi(2,4) + xi(1,3))*xi(2,6) + (xi(2,3) - xi(1,4))*xi(2,5)\\$

{3,4}|3\\ - (xi(2,4)*xi(1,3) - xi(2,3)*xi(1,4) - (xi(2,3) - xi(1,4))*xi(3,5)) + 
(xi(2,4) + xi(1,3))*xi(3,6)\\$

{3,4}|4\\(xi(2,4) + xi(1,3))*xi(4,6) + (xi(2,3) - xi(1,4))*xi(4,5)\\$

{3,4}|5\\ - (xi(3,4)*xi(1,3) - xi(3,3)*xi(1,4) - xi(4,3)*xi(2,4) + xi(4,4)*xi(2,
3) - (xi(2,3) - xi(1,4))*xi(5,5)) + (xi(2,4) + xi(1,3))*xi(5,6)\\$

{3,4}|6\\xi(3,4)*xi(2,3) - xi(3,3)*xi(2,4) + xi(4,3)*xi(1,4) - xi(4,4)*xi(1,3) +
 (xi(2,3) - xi(1,4))*xi(6,5) + (xi(2,4) + xi(1,3))*xi(6,6)\\$

{3,5}|1\\xi(2,5)*xi(1,6) - xi(1,5)**2\\$

{3,5}|2\\xi(2,6)*xi(2,5) - xi(2,5)*xi(1,5)\\$

{3,5}|3\\ - (xi(2,5)*xi(1,3) - xi(2,3)*xi(1,5) + xi(3,5)*xi(1,5)) + xi(3,6)*xi(2
,5)\\$

{3,5}|4\\xi(4,6)*xi(2,5) - xi(4,5)*xi(1,5)\\$

{3,5}|5\\ - (xi(3,5)*xi(1,3) - xi(3,3)*xi(1,5) - xi(4,3)*xi(2,5) + xi(4,5)*xi(2,
3) + xi(5,5)*xi(1,5)) + xi(5,6)*xi(2,5)\\$

{3,5}|6\\xi(3,5)*xi(2,3) - xi(3,3)*xi(2,5) + xi(4,3)*xi(1,5) - xi(4,5)*xi(1,3) -
 xi(6,5)*xi(1,5) + xi(6,6)*xi(2,5)\\$

{3,6}|1\\xi(2,6)*xi(1,6) - xi(1,6)*xi(1,5)\\$

{3,6}|2\\xi(2,6)**2 - xi(2,5)*xi(1,6)\\$

{3,6}|3\\ - (xi(2,6)*xi(1,3) - xi(2,3)*xi(1,6) + xi(3,5)*xi(1,6)) + xi(3,6)*xi(2
,6)\\$

{3,6}|4\\xi(4,6)*xi(2,6) - xi(4,5)*xi(1,6)\\$

{3,6}|5\\ - (xi(3,6)*xi(1,3) - xi(3,3)*xi(1,6) - xi(4,3)*xi(2,6) + xi(4,6)*xi(2,
3) + xi(5,5)*xi(1,6)) + xi(5,6)*xi(2,6)\\$

{3,6}|6\\xi(3,6)*xi(2,3) - xi(3,3)*xi(2,6) + xi(4,3)*xi(1,6) - xi(4,6)*xi(1,3) -
 xi(6,5)*xi(1,6) + xi(6,6)*xi(2,6)\\$

{4,5}|1\\ - xi(2,5)*xi(1,5) - xi(1,6)*xi(1,5)\\$

{4,5}|2\\ - xi(2,6)*xi(1,5) - xi(2,5)**2\\$

{4,5}|3\\ - (xi(2,5)*xi(1,4) - xi(2,4)*xi(1,5) + xi(3,5)*xi(2,5)) - xi(3,6)*xi(1
,5)\\$

{4,5}|4\\ - xi(4,6)*xi(1,5) - xi(4,5)*xi(2,5)\\$

{4,5}|5\\ - (xi(3,5)*xi(1,4) - xi(3,4)*xi(1,5) - xi(4,4)*xi(2,5) + xi(4,5)*xi(2,
4) + xi(5,5)*xi(2,5)) - xi(5,6)*xi(1,5)\\$

{4,5}|6\\xi(3,5)*xi(2,4) - xi(3,4)*xi(2,5) + xi(4,4)*xi(1,5) - xi(4,5)*xi(1,4) -
 xi(6,5)*xi(2,5) - xi(6,6)*xi(1,5)\\$

{4,6}|1\\ - xi(2,6)*xi(1,5) - xi(1,6)**2\\$

{4,6}|2\\ - xi(2,6)*xi(2,5) - xi(2,6)*xi(1,6)\\$

{4,6}|3\\ - (xi(2,6)*xi(1,4) - xi(2,4)*xi(1,6) + xi(3,5)*xi(2,6)) - xi(3,6)*xi(1
,6)\\$

{4,6}|4\\ - xi(4,6)*xi(1,6) - xi(4,5)*xi(2,6)\\$

{4,6}|5\\ - (xi(3,6)*xi(1,4) - xi(3,4)*xi(1,6) - xi(4,4)*xi(2,6) + xi(4,6)*xi(2,
4) + xi(5,5)*xi(2,6)) - xi(5,6)*xi(1,6)\\$

{4,6}|6\\xi(3,6)*xi(2,4) - xi(3,4)*xi(2,6) + xi(4,4)*xi(1,6) - xi(4,6)*xi(1,4) -
 xi(6,5)*xi(2,6) - xi(6,6)*xi(1,6)\\$

{5,6}|3\\ - xi(2,6)*xi(1,5) + xi(2,5)*xi(1,6)\\$

{5,6}|5\\ - (xi(3,6)*xi(1,5) - xi(3,5)*xi(1,6) - xi(4,5)*xi(2,6)) - xi(4,6)*xi(2
,5)\\$

{5,6}|6\\xi(3,6)*xi(2,5) - xi(3,5)*xi(2,6) + xi(4,5)*xi(1,6) - xi(4,6)*xi(1,5)\\
$

USD$

\\ \starline$

\par Simultaneous resolution of the nonzero torsion equations and the matrix$

equation USD J^2 = -I . USD$

Suppose first USDxi(1,5) \neq 0USD.$

\\ Then one first gets$

\\ from equation USD45|1USD :$

USD xi(2,5):=-xi(1,6)USD$

But then equation write USD35|1USD reads :$

USD -xi(2,5)**2 -xi(1,5)**2 =0USD$

hence, one gets from  equation USD35|1 : xi(1,5)=0 USD, a contradiction $

Hence USD xi(1,5)USD has to be USD 0 USD$

\\ USD xi(1,5):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

then, one gets from  equation USD45|2USD :$

\\ USD xi(2,5):=0USD$

\\ and from equation USD46|1USD :$

\\ USD xi(1,6):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

then, one gets from  equation USD36|2USD :$

\\ USD xi(2,6):=0USD$

\\ and from equation USD23|1USD :$

\\ USD xi(1,3):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

then, one gets from  equation USD13|2USD :$

\\ USD xi(2,3):=0USD$

Suppose now USDxi(4,5) \neq 0USD.$

\\ Then one first gets$

\\ from equation USD45|4USD :$

USD xi(4,6):=-xi(3,5)USD$

But then equation write USD25|4USD reads :$

USD xi(3,5)**2 + xi(4,5)**2 =0USD$

hence, one gets from  equation USD25|4 : xi(4,5)=0 USD, a contradiction $

Hence USD xi(4,5)USD has to be USD 0 USD$

\\ USD xi(4,5):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

then, one gets from  equation USD15|3USD :$

\\ USD xi(3,5):=0USD$

\\ and from equation USD16|4USD :$

\\ USD xi(4,6):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

then, one gets from  equation USD26|3USD :$

\\ USD xi(3,6):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 5x5 entry in  USD J**2 USD  is $

USD  {J**2}^5_5=xi(5,5)**2 + xi(6,5)*xi(5,6);USD\\$

Hence USD xi(5,6)xi(6,5)\neq 0 USD$

and USD xi(5,6) =(-1-xi(5,5)**2)/xi(6,5). USD$

\\ USD xi(5,6):= - (xi(5,5)**2 + 1)/xi(6,5)USD$

Moreover, the 5x6 entry in  USD J**2 USD  is $

USD  (xi(5,5) + xi(6,6))*xi(5,6);USD hence\\$

\\ USD xi(6,6):= - xi(5,5)USD$

Then the 4x4 entry in  USD J**2 USD  is $

USD  {J**2}^4_4=xi(4,4)**2 + xi(4,3)*xi(3,4);USD\\$

Hence USD xi(4,3)xi(3,4)\neq 0 USD$

and USD xi(3,4) =(-1-xi(4,4)**2)/xi(4,3). USD$

\\ USD xi(3,4):= - (xi(4,4)**2 + 1)/xi(4,3)USD$

Moreover, the 4x3 entry in  USD J**2 USD  is $

USD  (xi(4,4) + xi(3,3))*xi(4,3);USD hence\\$

\\ USD xi(4,4):= - xi(3,3)USD$

\par With these values, \textit{Reduce} computes again all equations.$

then, one gets from  equation USD12|4USD :$

\\ USD xi(2,2):= - xi(1,1)USD$

\\ and from equation USD14|4USD :$

\\ USD xi(2,4):=0USD$

\\ and from equation USD24|4USD :$

\\ USD xi(1,4):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 1x1 entry in  USD J**2 USD  is $

USD  {J**2}^1_1=xi(1,1)**2 + xi(2,1)*xi(1,2);USD\\$

Hence USD xi(2,1)xi(1,2)\neq 0 USD$

and USD xi(1,2) =(-1-xi(1,1)**2)/xi(2,1). USD$

\\ USD xi(1,2):= - (xi(1,1)**2 + 1)/xi(2,1)USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 4x1 entry in  USD J**2 USD  gives $

\\ USD xi(4,2):=( - xi(4,3)*xi(3,1) + xi(4,1)*xi(3,3) - xi(4,1)*xi(1,1))/xi(2,1)
USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 5x3 entry in  USD J**2 USD  gives $

\\ USD xi(5,4):=( - xi(6,5)*xi(5,5)*xi(5,3) - xi(6,5)*xi(5,3)*xi(3,3) + xi(6,3)*
xi(5,5)**2 + xi(6,3))/(xi(6,5)*xi(4,3))USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 4x2 entry in  USD J**2 USD  gives $

\\ USD xi(3,2):=( - xi(4,3)*xi(3,3)*xi(3,1) - xi(4,3)*xi(3,1)*xi(1,1) + xi(4,1)*
xi(3,3)**2 + xi(4,1))/(xi(4,3)*xi(2,1))USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 6x3 entry in  USD J**2 USD  gives $

\\ USD xi(6,4):=( - xi(6,5)*xi(5,3) + xi(6,3)*xi(5,5) - xi(6,3)*xi(3,3))/xi(4,3)
USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 5x1 entry in  USD J**2 USD  gives $

\\ USD xi(5,2):=(xi(6,5)*xi(5,5)*xi(5,3)*xi(4,1) - xi(6,5)*xi(5,5)*xi(5,1)*xi(4,
3) - xi(6,5)*xi(5,3)*xi(4,3)*xi(3,1) + xi(6,5)*xi(5,3)*xi(4,1)*xi(3,3) - xi(6,5)
*xi(5,1)*xi(4,3)*xi(1,1) - xi(6,3)*xi(5,5)**2*xi(4,1) - xi(6,3)*xi(4,1) + xi(6,1
)*xi(5,5)**2*xi(4,3) + xi(6,1)*xi(4,3))/(xi(6,5)*xi(4,3)*xi(2,1))USD$

\\ \starline$

At the present stage, we have : $

\par With these values, \textit{Reduce} computes again all equations.$

Then the 5x2 entry in  USD J**2 USD  gives $

\\ USD xi(5,1):=(xi(6,5)*xi(5,3)*xi(4,1) - xi(6,3)*xi(5,5)*xi(4,1) - xi(6,3)*xi(
4,3)*xi(3,1) + xi(6,3)*xi(4,1)*xi(3,3) - xi(6,2)*xi(4,3)*xi(2,1) + xi(6,1)*xi(5,
5)*xi(4,3) - xi(6,1)*xi(4,3)*xi(1,1))/(xi(6,5)*xi(4,3))USD$

\\ \starline \\ \4stars In the present case 1 , we suppose$

 USD xi(4,3) \neq xi(2,1) USD $

Then, one gets from  equation USD13|6USD :$

\\ USD xi(5,5):=(xi(6,5)*xi(3,3) + xi(6,5)*xi(1,1) - xi(4,3)*xi(1,1) + xi(3,3)*
xi(2,1))/(xi(4,3) - xi(2,1))USD$

Now, equation USD{1,4}|6 USD reads USD xi(6,5) * D + N = 0 USD$



! where! !U!S!D! !D:=xi(4,3)**2*xi(2,1)! -! xi(4,3)*xi(2,1)**2! -! xi(4,3)*xi(1,
1)**2! -! x\
i(4,3)
! +! xi(3,3)**2*xi(2,1)! +! xi(2,1)! !U!S!D! $



and! !U!S!D! !N:=xi(4,3)**2*(xi(1,1)**2! +! 1)! -! 2*xi(4,3)*xi(2,1)*(xi(3,3)*xi
(1,1)! +1\
)
+xi(2,1)**2*(! xi(3,3)**2! +! 1)! !U!S!D$

Consider USD N USD. $

One has  USD N = \| Y -Z\|^2 USD$



where! !U!S!D! !Y! =! xi(4,3)! !\left(! !\begin{smallmatrix}! xi(1,1)!\!\1!\end{
smallmatrix}! !\\
right)$



! !\;! ,! !\;! ! !Z! =! xi(2,1)! !\left(! !\begin{smallmatrix}! xi(3,3)!\!\1!\en
d{smallmatrix}! !\\
right)!U!S!D$

Now  USD  Y \neq Z USD since  USD xi(4,3) \neq xi(2,1) USD.$

We conclude that  USD N \neq 0 USD. $

Hence equation USD{1,4}|6 USD implies USD D  \neq 0  USD$

and  USD xi(6,5):= -\frac{N}{D}  USD$

Note that  USD xi(6,5)\neq 0  USD will be automatic.$

\\ USD xi(6,5):=( - xi(4,3)**2*xi(1,1)**2 - xi(4,3)**2 + 2*xi(4,3)*xi(3,3)*xi(2,
1)*xi(1,1) + 2*xi(4,3)*xi(2,1) - xi(3,3)**2*xi(2,1)**2 - xi(2,1)**2)/(xi(4,3)**2
*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1
) + xi(2,1))USD$

\\  \4stars Now the nonzero torsion equations left are :$

\\ Torsion equations to cancel (Latex output) : USD$

USD$

\\ \P \\$

\par The matrix USD J USD is :\\$

USD  J^1_1=xi(1,1);USD\\$

USD  J^1_2=( - (xi(1,1)**2 + 1))/xi(2,1);USD\\$

USD  J^1_3=0;USD\\$

USD  J^1_4=0;USD\\$

USD  J^1_5=0;USD\\$

USD  J^1_6=0;USD\\$

USD  J^2_1=xi(2,1);USD\\$

USD  J^2_2= - xi(1,1);USD\\$

USD  J^2_3=0;USD\\$

USD  J^2_4=0;USD\\$

USD  J^2_5=0;USD\\$

USD  J^2_6=0;USD\\$

USD  J^3_1=xi(3,1);USD\\$

USD  J^3_2=((xi(3,3)**2 + 1)*xi(4,1) - (xi(3,3) + xi(1,1))*xi(4,3)*xi(3,1))/(xi(
4,3)*xi(2,1));USD\\$

USD  J^3_3=xi(3,3);USD\\$

USD  J^3_4=( - (xi(3,3)**2 + 1))/xi(4,3);USD\\$

USD  J^3_5=0;USD\\$

USD  J^3_6=0;USD\\$

USD  J^4_1=xi(4,1);USD\\$

USD  J^4_2=((xi(3,3) - xi(1,1))*xi(4,1) - xi(4,3)*xi(3,1))/xi(2,1);USD\\$

USD  J^4_3=xi(4,3);USD\\$

USD  J^4_4= - xi(3,3);USD\\$

USD  J^4_5=0;USD\\$

USD  J^4_6=0;USD\\$

USD  J^5_1=(((2*xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*xi
(3,3) - (xi(1,1)**2 + 1 + xi(2,1)**2)*xi(1,1))*xi(6,1)*xi(4,3)**2 + ((xi(4,3)*xi
(1,1)**2 + xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**
2 + 1)*xi(2,1)**2)*xi(5,3)*xi(4,1) + (xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - 
xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))*xi(6,2)*xi(4,3)*xi(
2,1) - ((((xi(3,3) - xi(1,1))*xi(4,1) - xi(4,3)*xi(3,1))*(xi(3,3)**2 + 1) - (xi(
4,3)**2*xi(3,1) - xi(4,3)*xi(4,1)*xi(3,3) - xi(4,3)*xi(4,1)*xi(1,1) + 2*xi(4,1)*
xi(3,3)*xi(2,1))*xi(4,3))*xi(2,1) + (xi(1,1)**2 + 1 + xi(2,1)**2)*xi(4,3)**2*xi(
3,1))*xi(6,3))/((xi(4,3)**2*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*
xi(1,1) - 2*xi(4,3)*xi(2,1) + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2)*xi(4,3));USD\\
$

USD  J^5_2=(xi(6,3)*xi(4,3)**2*xi(4,1)*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,3)**2*
xi(4,1)*xi(2,1) - xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)**2 + xi(6,3)*xi(4,3
)**2*xi(3,3)*xi(3,1)*xi(1,1)**2 + xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1) + xi(6,3)*
xi(4,3)**2*xi(3,1)*xi(2,1)**2*xi(1,1) + xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1)**3 + 
xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1) + xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)
**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(1,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi
(3,3)**2 - 2*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(6,3)*xi(4,3
)*xi(4,1)*xi(2,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(1,1)**2 - xi(6,3)*xi(4,3)*xi(4
,1) - 2*xi(6,3)*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(2,1)*xi(1,1) - 2*xi(6,3)*xi(4,3)*
xi(3,1)*xi(2,1)*xi(1,1) + 2*xi(6,3)*xi(4,1)*xi(3,3)**3*xi(2,1)*xi(1,1) - xi(6,3)
*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,1)*xi(3,3)**2*xi(2,1) + 2*
xi(6,3)*xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1) - xi(6,3)*xi(4,1)*xi(2,1)*xi(1,1)**2 + 
xi(6,3)*xi(4,1)*xi(2,1) - xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + xi(6,2)*xi(4,3
)**2*xi(3,3)*xi(2,1)*xi(1,1)**2 + xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1) + xi(6,2)*
xi(4,3)**2*xi(2,1)**3*xi(1,1) + xi(6,2)*xi(4,3)**2*xi(2,1)*xi(1,1)**3 + xi(6,2)*
xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1) - 2
*xi(6,2)*xi(4,3)*xi(2,1)**2*xi(1,1) - xi(6,1)*xi(4,3)**3*xi(2,1)*xi(1,1)**2 - xi
(6,1)*xi(4,3)**3*xi(2,1) + xi(6,1)*xi(4,3)**2*xi(2,1)**2*xi(1,1)**2 + xi(6,1)*xi
(4,3)**2*xi(2,1)**2 + xi(6,1)*xi(4,3)**2*xi(1,1)**4 + 2*xi(6,1)*xi(4,3)**2*xi(1,
1)**2 + xi(6,1)*xi(4,3)**2 - xi(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*xi(1,1)**2 - xi(
6,1)*xi(4,3)*xi(3,3)**2*xi(2,1) - xi(6,1)*xi(4,3)*xi(2,1)*xi(1,1)**2 - xi(6,1)*
xi(4,3)*xi(2,1) - xi(5,3)*xi(4,3)**3*xi(3,1)*xi(1,1)**2 - xi(5,3)*xi(4,3)**3*xi(
3,1) + xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3)*xi(1,1)**2 + xi(5,3)*xi(4,3)**2*xi(4,1
)*xi(3,3) - xi(5,3)*xi(4,3)**2*xi(4,1)*xi(1,1)**3 - xi(5,3)*xi(4,3)**2*xi(4,1)*
xi(1,1) + 2*xi(5,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)*xi(1,1) + 2*xi(5,3)*xi(4,
3)**2*xi(3,1)*xi(2,1) - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1) + 2
*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1)**2 - 2*xi(5,3)*xi(4,3)*xi(4,1)*
xi(3,3)*xi(2,1) + 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(2,1)*xi(1,1) - xi(5,3)*xi(4,3)*xi
(3,3)**2*xi(3,1)*xi(2,1)**2 - xi(5,3)*xi(4,3)*xi(3,1)*xi(2,1)**2 + xi(5,3)*xi(4,
1)*xi(3,3)**3*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2*xi(1,1) + xi(5,
3)*xi(4,1)*xi(3,3)*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(2,1)**2*xi(1,1))/((xi(4,3)**2
*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(2,1)
 + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2)*xi(4,3)*xi(2,1));USD\\$

USD  J^5_3=xi(5,3);USD\\$

USD  J^5_4=( - (xi(6,3)*xi(4,3)**2*xi(2,1)**2 + 2*xi(6,3)*xi(4,3)*xi(3,3)*xi(2,1
)*xi(1,1) - 2*xi(6,3)*xi(4,3)*xi(2,1) + xi(6,3)*xi(3,3)**2*xi(1,1)**2 + xi(6,3)*
xi(3,3)**2 + xi(6,3)*xi(1,1)**2 + xi(6,3) + xi(5,3)*xi(4,3)**2*xi(3,3)*xi(2,1) -
 xi(5,3)*xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(5,3)*xi(4,3)*xi(3,3)*xi(1,1)**2 - 2*
xi(5,3)*xi(4,3)*xi(3,3) + xi(5,3)*xi(3,3)**3*xi(2,1) + xi(5,3)*xi(3,3)**2*xi(2,1
)*xi(1,1) + xi(5,3)*xi(3,3)*xi(2,1) + xi(5,3)*xi(2,1)*xi(1,1)))/((xi(4,3)**2*xi(
2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + 
xi(2,1))*xi(4,3));USD\\$

USD  J^5_5= - (((xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*
xi(3,3))*xi(4,3) - (xi(3,3)**2 + 1)*xi(2,1)*xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,
1) - (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^5_6=((xi(4,3)*xi(2,1) + 2*xi(3,3)*xi(1,1) - 2)*xi(4,3)*xi(2,1) + (xi(3,3)
**2 + 1)*(xi(1,1)**2 + 1))/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))*xi(
4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_1=xi(6,1);USD\\$

USD  J^6_2=xi(6,2);USD\\$

USD  J^6_3=xi(6,3);USD\\$

USD  J^6_4=( - (((xi(4,3)*xi(3,3) + xi(4,3)*xi(1,1) - 2*xi(3,3)*xi(2,1))*xi(4,3)
 + (xi(3,3)**2 + 1)*(xi(3,3) - xi(1,1)))*xi(6,3)*xi(2,1) - ((xi(4,3)*xi(1,1)**2 
+ xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi
(2,1)**2)*xi(5,3)))/(((xi(4,3)**2 - xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)*xi(2,1) - 
(xi(1,1)**2 + 1)*xi(4,3))*xi(4,3));USD\\$

USD  J^6_5= - ((xi(4,3)*xi(1,1)**2 + xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(
2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi
(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_6=(((xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*xi(3
,3))*xi(4,3) - (xi(3,3)**2 + 1)*xi(2,1)*xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,1) -
 (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  {J**2}^1_1=-1;USD\\$

USD  {J**2}^1_2=0;USD\\$

USD  {J**2}^1_3=0;USD\\$

USD  {J**2}^1_4=0;USD\\$

USD  {J**2}^1_5=0;USD\\$

USD  {J**2}^1_6=0;USD\\$

USD  {J**2}^2_1=0;USD\\$

USD  {J**2}^2_2=-1;USD\\$

USD  {J**2}^2_3=0;USD\\$

USD  {J**2}^2_4=0;USD\\$

USD  {J**2}^2_5=0;USD\\$

USD  {J**2}^2_6=0;USD\\$

USD  {J**2}^3_1=0;USD\\$

USD  {J**2}^3_2=0;USD\\$

USD  {J**2}^3_3=-1;USD\\$

USD  {J**2}^3_4=0;USD\\$

USD  {J**2}^3_5=0;USD\\$

USD  {J**2}^3_6=0;USD\\$

USD  {J**2}^4_1=0;USD\\$

USD  {J**2}^4_2=0;USD\\$

USD  {J**2}^4_3=0;USD\\$

USD  {J**2}^4_4=-1;USD\\$

USD  {J**2}^4_5=0;USD\\$

USD  {J**2}^4_6=0;USD\\$

USD  {J**2}^5_1=0;USD\\$

USD  {J**2}^5_2=0;USD\\$

USD  {J**2}^5_3=0;USD\\$

USD  {J**2}^5_4=0;USD\\$

USD  {J**2}^5_5=-1;USD\\$

USD  {J**2}^5_6=0;USD\\$

USD  {J**2}^6_1=0;USD\\$

USD  {J**2}^6_2=0;USD\\$

USD  {J**2}^6_3=0;USD\\$

USD  {J**2}^6_4=0;USD\\$

USD  {J**2}^6_5=0;USD\\$

USD  {J**2}^6_6=-1;USD\\$

\\$ det J:=1$

Trace J:=0$

\\$

{\fontsize{8}{10} \selectfont$

\begin{equation}$

\label{M10general}$

 J = \begin{pmatrix}$

xi(1,1)&$

( - (xi(1,1)**2 + 1))/xi(2,1)&$

0&$

0&$

0&$

0\\$

xi(2,1)&$

 - xi(1,1)&$

0&$

0&$

0&$

0\\$

xi(3,1)&$

((xi(3,3)**2 + 1)*xi(4,1) - (xi(3,3) + xi(1,1))*xi(4,3)*xi(3,1))/(xi(4,3)*xi(2,1
))&$

xi(3,3)&$

( - (xi(3,3)**2 + 1))/xi(4,3)&$

0&$

0\\$

xi(4,1)&$

((xi(3,3) - xi(1,1))*xi(4,1) - xi(4,3)*xi(3,1))/xi(2,1)&$

xi(4,3)&$

 - xi(3,3)&$

0&$

0\\$

(((2*xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*xi(3,3) - (xi
(1,1)**2 + 1 + xi(2,1)**2)*xi(1,1))*xi(6,1)*xi(4,3)**2 + ((xi(4,3)*xi(1,1)**2 + 
xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2
,1)**2)*xi(5,3)*xi(4,1) + (xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(
1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))*xi(6,2)*xi(4,3)*xi(2,1) - ((((
xi(3,3) - xi(1,1))*xi(4,1) - xi(4,3)*xi(3,1))*(xi(3,3)**2 + 1) - (xi(4,3)**2*xi(
3,1) - xi(4,3)*xi(4,1)*xi(3,3) - xi(4,3)*xi(4,1)*xi(1,1) + 2*xi(4,1)*xi(3,3)*xi(
2,1))*xi(4,3))*xi(2,1) + (xi(1,1)**2 + 1 + xi(2,1)**2)*xi(4,3)**2*xi(3,1))*xi(6,
3))/((xi(4,3)**2*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - 2
*xi(4,3)*xi(2,1) + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2)*xi(4,3))&$

(xi(6,3)*xi(4,3)**2*xi(4,1)*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,3)**2*xi(4,1)*xi(2
,1) - xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)**2 + xi(6,3)*xi(4,3)**2*xi(3,3)
*xi(3,1)*xi(1,1)**2 + xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1) + xi(6,3)*xi(4,3)**2*xi
(3,1)*xi(2,1)**2*xi(1,1) + xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1)**3 + xi(6,3)*xi(4,
3)**2*xi(3,1)*xi(1,1) + xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2 - xi(6,3)*
xi(4,3)*xi(4,1)*xi(3,3)**2*xi(1,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2 - 2*
xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(6,3)*xi(4,3)*xi(4,1)*xi(
2,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(1,1)**2 - xi(6,3)*xi(4,3)*xi(4,1) - 2*xi(6,
3)*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(2,1)*xi(1,1) - 2*xi(6,3)*xi(4,3)*xi(3,1)*xi(2,1
)*xi(1,1) + 2*xi(6,3)*xi(4,1)*xi(3,3)**3*xi(2,1)*xi(1,1) - xi(6,3)*xi(4,1)*xi(3,
3)**2*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,1)*xi(3,3)**2*xi(2,1) + 2*xi(6,3)*xi(4,1
)*xi(3,3)*xi(2,1)*xi(1,1) - xi(6,3)*xi(4,1)*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,1)
*xi(2,1) - xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + xi(6,2)*xi(4,3)**2*xi(3,3)*xi
(2,1)*xi(1,1)**2 + xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1) + xi(6,2)*xi(4,3)**2*xi(2,
1)**3*xi(1,1) + xi(6,2)*xi(4,3)**2*xi(2,1)*xi(1,1)**3 + xi(6,2)*xi(4,3)**2*xi(2,
1)*xi(1,1) - 2*xi(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1) - 2*xi(6,2)*xi(4,3)
*xi(2,1)**2*xi(1,1) - xi(6,1)*xi(4,3)**3*xi(2,1)*xi(1,1)**2 - xi(6,1)*xi(4,3)**3
*xi(2,1) + xi(6,1)*xi(4,3)**2*xi(2,1)**2*xi(1,1)**2 + xi(6,1)*xi(4,3)**2*xi(2,1)
**2 + xi(6,1)*xi(4,3)**2*xi(1,1)**4 + 2*xi(6,1)*xi(4,3)**2*xi(1,1)**2 + xi(6,1)*
xi(4,3)**2 - xi(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*xi(1,1)**2 - xi(6,1)*xi(4,3)*xi(
3,3)**2*xi(2,1) - xi(6,1)*xi(4,3)*xi(2,1)*xi(1,1)**2 - xi(6,1)*xi(4,3)*xi(2,1) -
 xi(5,3)*xi(4,3)**3*xi(3,1)*xi(1,1)**2 - xi(5,3)*xi(4,3)**3*xi(3,1) + xi(5,3)*xi
(4,3)**2*xi(4,1)*xi(3,3)*xi(1,1)**2 + xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3) - xi(5,
3)*xi(4,3)**2*xi(4,1)*xi(1,1)**3 - xi(5,3)*xi(4,3)**2*xi(4,1)*xi(1,1) + 2*xi(5,3
)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)*xi(1,1) + 2*xi(5,3)*xi(4,3)**2*xi(3,1)*xi(2
,1) - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1) + 2*xi(5,3)*xi(4,3)*
xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1)**2 - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1) +
 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(2,1)*xi(1,1) - xi(5,3)*xi(4,3)*xi(3,3)**2*xi(3,1)*
xi(2,1)**2 - xi(5,3)*xi(4,3)*xi(3,1)*xi(2,1)**2 + xi(5,3)*xi(4,1)*xi(3,3)**3*xi(
2,1)**2 - xi(5,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2*xi(1,1) + xi(5,3)*xi(4,1)*xi(3,3
)*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(2,1)**2*xi(1,1))/((xi(4,3)**2*xi(1,1)**2 + xi(
4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(2,1) + xi(3,3)**2*xi(
2,1)**2 + xi(2,1)**2)*xi(4,3)*xi(2,1))&$

xi(5,3)&$

( - (xi(6,3)*xi(4,3)**2*xi(2,1)**2 + 2*xi(6,3)*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) -
 2*xi(6,3)*xi(4,3)*xi(2,1) + xi(6,3)*xi(3,3)**2*xi(1,1)**2 + xi(6,3)*xi(3,3)**2 
+ xi(6,3)*xi(1,1)**2 + xi(6,3) + xi(5,3)*xi(4,3)**2*xi(3,3)*xi(2,1) - xi(5,3)*xi
(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(5,3)*xi(4,3)*xi(3,3)*xi(1,1)**2 - 2*xi(5,3)*xi(4
,3)*xi(3,3) + xi(5,3)*xi(3,3)**3*xi(2,1) + xi(5,3)*xi(3,3)**2*xi(2,1)*xi(1,1) + 
xi(5,3)*xi(3,3)*xi(2,1) + xi(5,3)*xi(2,1)*xi(1,1)))/((xi(4,3)**2*xi(2,1) - xi(4,
3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))*xi(
4,3))&$

 - (((xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*xi(3,3))*xi(
4,3) - (xi(3,3)**2 + 1)*xi(2,1)*xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1
)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))&$

((xi(4,3)*xi(2,1) + 2*xi(3,3)*xi(1,1) - 2)*xi(4,3)*xi(2,1) + (xi(3,3)**2 + 1)*(
xi(1,1)**2 + 1))/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))*xi(4,3) + (xi
(3,3)**2 + 1)*xi(2,1))\\$

xi(6,1)&$

xi(6,2)&$

xi(6,3)&$

( - (((xi(4,3)*xi(3,3) + xi(4,3)*xi(1,1) - 2*xi(3,3)*xi(2,1))*xi(4,3) + (xi(3,3)
**2 + 1)*(xi(3,3) - xi(1,1)))*xi(6,3)*xi(2,1) - ((xi(4,3)*xi(1,1)**2 + xi(4,3) -
 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)*
xi(5,3)))/(((xi(4,3)**2 - xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)*xi(2,1) - (xi(1,1)**
2 + 1)*xi(4,3))*xi(4,3))&$

 - ((xi(4,3)*xi(1,1)**2 + xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,
3) + (xi(3,3)**2 + 1)*xi(2,1)**2)/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 
1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))&$

(((xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*xi(3,3))*xi(4,3
) - (xi(3,3)**2 + 1)*xi(2,1)*xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**
2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))\end{pmatrix}$

\end{equation}$

}$

USDUSD J^2 = \begin{pmatrix}$

-1&$

0&$

0&$

0&$

0&$

0\\$

0&$

-1&$

0&$

0&$

0&$

0\\$

0&$

0&$

-1&$

0&$

0&$

0\\$

0&$

0&$

0&$

-1&$

0&$

0\\$

0&$

0&$

0&$

0&$

-1&$

0\\$

0&$

0&$

0&$

0&$

0&$

-1\end{pmatrix}USDUSD$

\\USD det J:=1 USD$

USD Trace J:=0 USD$

 where USD xi(2,1)*xi(4,3) \neq 0,USD$



! !\!\! and! !U!S!D! !D:=xi(4,3)**2*xi(2,1)! -! xi(4,3)*xi(2,1)**2! -! xi(4,3)*x
i(1,1)**2! -! \
xi(4,3)
! +! xi(3,3)**2*xi(2,1)! +! xi(2,1)! !\neq! 0! !U!S!D! $

USD D:=((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 
1)*xi(2,1),\neq 0 \\USD$

 \\ and$

USD a:=xi(5,1):=((xi(6,3)*xi(4,3)**3*xi(3,1)*xi(2,1) - xi(6,3)*xi(4,3)**2*xi(4,1
)*xi(3,3)*xi(2,1) - xi(6,3)*xi(4,3)**2*xi(4,1)*xi(2,1)*xi(1,1) - xi(6,3)*xi(4,3)
**2*xi(3,1)*xi(2,1)**2 - xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1)**2 - xi(6,3)*xi(4,3)
**2*xi(3,1) + 2*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)**2 + xi(6,3)*xi(4,3)*xi(
3,3)**2*xi(3,1)*xi(2,1) + xi(6,3)*xi(4,3)*xi(3,1)*xi(2,1) - xi(6,3)*xi(4,1)*xi(3
,3)**3*xi(2,1) + xi(6,3)*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1) - xi(6,3)*xi(4,1)*xi
(3,3)*xi(2,1) + xi(6,3)*xi(4,1)*xi(2,1)*xi(1,1) + xi(6,2)*xi(4,3)**3*xi(2,1)**2 
- xi(6,2)*xi(4,3)**2*xi(2,1)**3 - xi(6,2)*xi(4,3)**2*xi(2,1)*xi(1,1)**2 - xi(6,2
)*xi(4,3)**2*xi(2,1) + xi(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**2 + xi(6,2)*xi(4,3)*
xi(2,1)**2 + 2*xi(6,1)*xi(4,3)**3*xi(2,1)*xi(1,1) - xi(6,1)*xi(4,3)**2*xi(3,3)*
xi(2,1)**2 + xi(6,1)*xi(4,3)**2*xi(3,3)*xi(1,1)**2 + xi(6,1)*xi(4,3)**2*xi(3,3) 
- xi(6,1)*xi(4,3)**2*xi(2,1)**2*xi(1,1) - xi(6,1)*xi(4,3)**2*xi(1,1)**3 - xi(6,1
)*xi(4,3)**2*xi(1,1) + xi(5,3)*xi(4,3)**2*xi(4,1)*xi(1,1)**2 + xi(5,3)*xi(4,3)**
2*xi(4,1) - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(5,3)*xi(4,3
)*xi(4,1)*xi(2,1) + xi(5,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2 + xi(5,3)*xi(4,1)*xi(2
,1)**2)*(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) 
+ xi(3,3)**2*xi(2,1) + xi(2,1)))/((((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 
1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))*((xi(4,3)*xi(1,1)**2 + xi(4,3) - 2*xi(3,
3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)*xi(4,3))
,\\USD$

USD b:=xi(5,2):=((xi(6,3)*xi(4,3)**2*xi(4,1)*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,3
)**2*xi(4,1)*xi(2,1) - xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)**2 + xi(6,3)*
xi(4,3)**2*xi(3,3)*xi(3,1)*xi(1,1)**2 + xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1) + xi(
6,3)*xi(4,3)**2*xi(3,1)*xi(2,1)**2*xi(1,1) + xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1)
**3 + xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1) + xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi
(2,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(1,1)**2 - xi(6,3)*xi(4,3)*xi(4,
1)*xi(3,3)**2 - 2*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(6,3)*
xi(4,3)*xi(4,1)*xi(2,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(1,1)**2 - xi(6,3)*xi(4,3
)*xi(4,1) - 2*xi(6,3)*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(2,1)*xi(1,1) - 2*xi(6,3)*xi(
4,3)*xi(3,1)*xi(2,1)*xi(1,1) + 2*xi(6,3)*xi(4,1)*xi(3,3)**3*xi(2,1)*xi(1,1) - xi
(6,3)*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,1)*xi(3,3)**2*xi(2,1)
 + 2*xi(6,3)*xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1) - xi(6,3)*xi(4,1)*xi(2,1)*xi(1,1)**
2 + xi(6,3)*xi(4,1)*xi(2,1) - xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + xi(6,2)*xi
(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**2 + xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1) + xi(6,
2)*xi(4,3)**2*xi(2,1)**3*xi(1,1) + xi(6,2)*xi(4,3)**2*xi(2,1)*xi(1,1)**3 + xi(6,
2)*xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1) 
- 2*xi(6,2)*xi(4,3)*xi(2,1)**2*xi(1,1) - xi(6,1)*xi(4,3)**3*xi(2,1)*xi(1,1)**2 -
 xi(6,1)*xi(4,3)**3*xi(2,1) + xi(6,1)*xi(4,3)**2*xi(2,1)**2*xi(1,1)**2 + xi(6,1)
*xi(4,3)**2*xi(2,1)**2 + xi(6,1)*xi(4,3)**2*xi(1,1)**4 + 2*xi(6,1)*xi(4,3)**2*xi
(1,1)**2 + xi(6,1)*xi(4,3)**2 - xi(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*xi(1,1)**2 - 
xi(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1) - xi(6,1)*xi(4,3)*xi(2,1)*xi(1,1)**2 - xi(6,1
)*xi(4,3)*xi(2,1) - xi(5,3)*xi(4,3)**3*xi(3,1)*xi(1,1)**2 - xi(5,3)*xi(4,3)**3*
xi(3,1) + xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3)*xi(1,1)**2 + xi(5,3)*xi(4,3)**2*xi(
4,1)*xi(3,3) - xi(5,3)*xi(4,3)**2*xi(4,1)*xi(1,1)**3 - xi(5,3)*xi(4,3)**2*xi(4,1
)*xi(1,1) + 2*xi(5,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)*xi(1,1) + 2*xi(5,3)*xi(
4,3)**2*xi(3,1)*xi(2,1) - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1) +
 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1)**2 - 2*xi(5,3)*xi(4,3)*xi(4,1
)*xi(3,3)*xi(2,1) + 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(2,1)*xi(1,1) - xi(5,3)*xi(4,3)*
xi(3,3)**2*xi(3,1)*xi(2,1)**2 - xi(5,3)*xi(4,3)*xi(3,1)*xi(2,1)**2 + xi(5,3)*xi(
4,1)*xi(3,3)**3*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2*xi(1,1) + xi(
5,3)*xi(4,1)*xi(3,3)*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(2,1)**2*xi(1,1))*(xi(4,3)**
2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,
1) + xi(2,1))**2*(xi(4,3)**2*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)
*xi(1,1) - 2*xi(4,3)*xi(2,1) + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2))/((((xi(4,3) 
- xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))**2*((
xi(4,3)*xi(1,1)**2 + xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + 
(xi(3,3)**2 + 1)*xi(2,1)**2)**2*xi(4,3)*xi(2,1)),\\USD$

USD c:=xi(5,4):=( - (xi(6,3)*xi(4,3)**2*xi(2,1)**2 + 2*xi(6,3)*xi(4,3)*xi(3,3)*
xi(2,1)*xi(1,1) - 2*xi(6,3)*xi(4,3)*xi(2,1) + xi(6,3)*xi(3,3)**2*xi(1,1)**2 + xi
(6,3)*xi(3,3)**2 + xi(6,3)*xi(1,1)**2 + xi(6,3) + xi(5,3)*xi(4,3)**2*xi(3,3)*xi(
2,1) - xi(5,3)*xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(5,3)*xi(4,3)*xi(3,3)*xi(1,1)**2
 - 2*xi(5,3)*xi(4,3)*xi(3,3) + xi(5,3)*xi(3,3)**3*xi(2,1) + xi(5,3)*xi(3,3)**2*
xi(2,1)*xi(1,1) + xi(5,3)*xi(3,3)*xi(2,1) + xi(5,3)*xi(2,1)*xi(1,1))*(xi(4,3)**2
*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(2,1)
 + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2))/((((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1
)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))*((xi(4,3)*xi(1,1)**2 + xi(4,3) - 
2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)*xi
(4,3)),\\USD$

USD d:=xi(5,5):= - (xi(4,3)**2*xi(2,1)*xi(1,1) - xi(4,3)*xi(3,3)*xi(2,1)**2 + xi
(4,3)*xi(3,3)*xi(1,1)**2 + xi(4,3)*xi(3,3) - xi(3,3)**2*xi(2,1)*xi(1,1) - xi(2,1
)*xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)
**2 + 1)*xi(2,1)),\\USD$

USD g:=xi(5,6):=((xi(4,3)**2*xi(2,1)**2 + 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - 2*
xi(4,3)*xi(2,1) + xi(3,3)**2*xi(1,1)**2 + xi(3,3)**2 + xi(1,1)**2 + 1)*(xi(4,3)
**2*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(2
,1) + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2))/((((xi(4,3) - xi(2,1))*xi(2,1) - (xi(
1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))*((xi(4,3)*xi(1,1)**2 + xi(4,3)
 - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)
),\\USD$

USD h:=xi(6,4):=( - (xi(6,3)*xi(4,3)**2*xi(3,3)*xi(2,1) + xi(6,3)*xi(4,3)**2*xi(
2,1)*xi(1,1) - 2*xi(6,3)*xi(4,3)*xi(3,3)*xi(2,1)**2 + xi(6,3)*xi(3,3)**3*xi(2,1)
 - xi(6,3)*xi(3,3)**2*xi(2,1)*xi(1,1) + xi(6,3)*xi(3,3)*xi(2,1) - xi(6,3)*xi(2,1
)*xi(1,1) - xi(5,3)*xi(4,3)**2*xi(1,1)**2 - xi(5,3)*xi(4,3)**2 + 2*xi(5,3)*xi(4,
3)*xi(3,3)*xi(2,1)*xi(1,1) + 2*xi(5,3)*xi(4,3)*xi(2,1) - xi(5,3)*xi(3,3)**2*xi(2
,1)**2 - xi(5,3)*xi(2,1)**2))/((((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))
*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))*xi(4,3)),\\USD$

USD k:=xi(6,5):= - ((xi(4,3)*xi(1,1)**2 + xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 
2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)/(((xi(4,3) - xi(2,1))*xi(2,1) 
- (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)),\\USD$

USD m:=xi(6,6):=(xi(4,3)**2*xi(2,1)*xi(1,1) - xi(4,3)*xi(3,3)*xi(2,1)**2 + xi(4,
3)*xi(3,3)*xi(1,1)**2 + xi(4,3)*xi(3,3) - xi(3,3)**2*xi(2,1)*xi(1,1) - xi(2,1)*
xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2
 + 1)*xi(2,1)),\\USD$

\\ check of torsion$

\\Torsion equations to cancel (Latex output) : \\USD$

USD $

zero torsion$

\par Commutation relations of USD \mathfrak{m} : USD$

\\ USD  [\tilde{x}_1,\tilde{x}_2]=(tildex_5*(xi(4,3)**2*xi(3,1)*xi(2,1) - xi(4,3
)*xi(4,1)*xi(3,3)*xi(2,1) + xi(4,3)*xi(3,3)*xi(3,1)*xi(1,1) - xi(4,3)*xi(3,1) - 
xi(4,1)*xi(3,3)**2*xi(1,1) - xi(4,1)*xi(1,1)))/(xi(4,3)*xi(2,1)) + (tildex_6*(xi
(4,3)**2*xi(3,1)*xi(1,1) - xi(4,3)*xi(4,1)*xi(3,3)*xi(1,1) - xi(4,3)*xi(4,1) - 
xi(4,3)*xi(3,3)*xi(3,1)*xi(2,1) + xi(4,1)*xi(3,3)**2*xi(2,1) + xi(4,1)*xi(2,1)))
/(xi(4,3)*xi(2,1));\\USD$

\\ USD  [\tilde{x}_1,\tilde{x}_3]=tildex_5*( - xi(4,3)*xi(2,1) - xi(3,3)*xi(1,1)
 + 1) + tildex_6*( - xi(4,3)*xi(1,1) + xi(3,3)*xi(2,1));\\USD$

\\ USD  [\tilde{x}_1,\tilde{x}_4]=(tildex_5*(xi(4,3)*xi(3,3)*xi(2,1) + xi(3,3)**
2*xi(1,1) + xi(1,1)))/xi(4,3) + (tildex_6*(xi(4,3)*xi(3,3)*xi(1,1) + xi(4,3) - 
xi(3,3)**2*xi(2,1) - xi(2,1)))/xi(4,3);\\USD$

\\ USD  [\tilde{x}_2,\tilde{x}_3]=(tildex_5*(xi(4,3)*xi(2,1)*xi(1,1) + xi(3,3)*
xi(1,1)**2 + xi(3,3)))/xi(2,1) + (tildex_6*(xi(4,3)*xi(1,1)**2 + xi(4,3) - xi(3,
3)*xi(2,1)*xi(1,1) - xi(2,1)))/xi(2,1);\\USD$

\\ USD  [\tilde{x}_2,\tilde{x}_4]=(tildex_5*( - xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) 
+ xi(4,3)*xi(2,1) - xi(3,3)**2*xi(1,1)**2 - xi(3,3)**2 - xi(1,1)**2 - 1))/(xi(4,
3)*xi(2,1)) + (tildex_6*( - xi(4,3)*xi(3,3)*xi(1,1)**2 - xi(4,3)*xi(3,3) + xi(3,
3)**2*xi(2,1)*xi(1,1) + xi(2,1)*xi(1,1)))/(xi(4,3)*xi(2,1));\\USD$

\P$

\par Now we check if the condition USD [Jx,y]= J[x,y] USD is satisfied$

USD\forall x,y \in {\mathcal{G}}_{6,m10},USD$

\textit{i.e.} if USD{\mathcal{G}}_{6,m10}USD$

is a \textit{complex} algebra.$

\\USD J[x_j,x_k] \neq [Jx_j,x_k] USD
in the following cases{{{1,1},
 - xi(4,1)*x(6) - xi(3,1)*x(5) - xi(2,1)*x(3)},
{{1,2},
x(6)*( - xi(6,3) + xi(3,1)) - x(5)*(xi(5,3) + xi(4,1)) - xi(4,3)*x(4) + x(3)*( -
 xi(3,3) + xi(1,1))},
{{1,3},
(x(6)*xi(4,3)*( - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - xi(4,3)**3*xi(2,1)**2 + xi(
4,3)**3*xi(1,1)**4 + 2*xi(4,3)**3*xi(1,1)**2 + xi(4,3)**3 + 2*xi(4,3)**2*xi(3,3)
*xi(2,1)**3*xi(1,1) - 4*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 - 4*xi(4,3)**2*xi(
3,3)*xi(2,1)*xi(1,1) + xi(4,3)**2*xi(2,1)**3*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1)**
3 + xi(4,3)**2*xi(2,1)*xi(1,1)**4 - 2*xi(4,3)**2*xi(2,1)*xi(1,1)**2 - 3*xi(4,3)
**2*xi(2,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 + 5*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi
(1,1)**2 + xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**4*xi(1,1) 
- 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1)**3 + 6*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1)
 - 3*xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**2 + 3*xi(4,3)*xi(2,1)**2 -
 2*xi(3,3)**3*xi(2,1)**3*xi(1,1) + xi(3,3)**2*xi(2,1)**5 + xi(3,3)**2*xi(2,1)**3
*xi(1,1)**2 - xi(3,3)**2*xi(2,1)**3 - 2*xi(3,3)*xi(2,1)**3*xi(1,1) + xi(2,1)**5 
+ xi(2,1)**3*xi(1,1)**2 - xi(2,1)**3))/(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)
**4*xi(2,1) - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi
(1,1)**2 - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1
)**2 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(
2,1)*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**
3*xi(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,
1)*xi(1,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,
3)**2*xi(2,1) - 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(
2,1)**4 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1
)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,
1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*
xi(2,1)**3 + xi(2,1)**3) + (x(5)*xi(4,3)*(2*xi(4,3)**3*xi(2,1)*xi(1,1)**3 + 2*xi
(4,3)**3*xi(2,1)*xi(1,1) - 5*xi(4,3)**2*xi(3,3)*xi(2,1)**2*xi(1,1)**2 - xi(4,3)
**2*xi(3,3)*xi(2,1)**2 + xi(4,3)**2*xi(3,3)*xi(1,1)**4 + 2*xi(4,3)**2*xi(3,3)*xi
(1,1)**2 + xi(4,3)**2*xi(3,3) - xi(4,3)**2*xi(2,1)**2*xi(1,1)**3 - 5*xi(4,3)**2*
xi(2,1)**2*xi(1,1) - xi(4,3)**2*xi(1,1)**5 - 2*xi(4,3)**2*xi(1,1)**3 - xi(4,3)**
2*xi(1,1) + 4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*xi(1,1) - 2*xi(4,3)*xi(3,3)**2*xi(2,
1)*xi(1,1)**3 - 2*xi(4,3)*xi(3,3)**2*xi(2,1)*xi(1,1) + 2*xi(4,3)*xi(3,3)*xi(2,1)
**3*xi(1,1)**2 + 2*xi(4,3)*xi(3,3)*xi(2,1)**3 + 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1
)**4 - 2*xi(4,3)*xi(3,3)*xi(2,1) + 4*xi(4,3)*xi(2,1)**3*xi(1,1) + 2*xi(4,3)*xi(2
,1)*xi(1,1)**3 + 2*xi(4,3)*xi(2,1)*xi(1,1) - xi(3,3)**3*xi(2,1)**4 + xi(3,3)**3*
xi(2,1)**2*xi(1,1)**2 + xi(3,3)**3*xi(2,1)**2 - xi(3,3)**2*xi(2,1)**4*xi(1,1) - 
xi(3,3)**2*xi(2,1)**2*xi(1,1)**3 - xi(3,3)**2*xi(2,1)**2*xi(1,1) - xi(3,3)*xi(2,
1)**4 + xi(3,3)*xi(2,1)**2*xi(1,1)**2 + xi(3,3)*xi(2,1)**2 - xi(2,1)**4*xi(1,1) 
- xi(2,1)**2*xi(1,1)**3 - xi(2,1)**2*xi(1,1)))/(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + 
xi(4,3)**4*xi(2,1) - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1
)**2*xi(1,1)**2 - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3
*xi(1,1)**2 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)
**2*xi(2,1)*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi
(2,1)**3*xi(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3
)*xi(2,1)*xi(1,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 
3*xi(4,3)**2*xi(2,1) - 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)
**2*xi(2,1)**4 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2
*xi(2,1)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3
)*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,
3)**2*xi(2,1)**3 + xi(2,1)**3)},
{{1,4},
x(6)*(xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1)**2 + xi(4,3)**3*xi(3,3)*xi(2,1)**2 -
 xi(4,3)**3*xi(3,3)*xi(1,1)**4 - 2*xi(4,3)**3*xi(3,3)*xi(1,1)**2 - xi(4,3)**3*xi
(3,3) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**3 - xi(4,3)**3*xi(2,1)**2*xi(1,1) - xi(4,
3)**3*xi(1,1)**5 - 2*xi(4,3)**3*xi(1,1)**3 - xi(4,3)**3*xi(1,1) - 2*xi(4,3)**2*
xi(3,3)**2*xi(2,1)**3*xi(1,1) + 4*xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**3 + 4*
xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1)
**2 - 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**4 
+ 4*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**2 + 2*xi(4,3)**2*xi(3,3)*xi(2,1) + 2*xi(
4,3)**2*xi(2,1)**3*xi(1,1) + 4*xi(4,3)**2*xi(2,1)*xi(1,1)**3 + 4*xi(4,3)**2*xi(2
,1)*xi(1,1) + xi(4,3)*xi(3,3)**3*xi(2,1)**4 - 5*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi
(1,1)**2 - xi(4,3)*xi(3,3)**3*xi(2,1)**2 - xi(4,3)*xi(3,3)**2*xi(2,1)**4*xi(1,1)
 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**3 - 5*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi
(1,1) + xi(4,3)*xi(3,3)*xi(2,1)**4 - 5*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1)**2 - 
xi(4,3)*xi(3,3)*xi(2,1)**2 - xi(4,3)*xi(2,1)**4*xi(1,1) - xi(4,3)*xi(2,1)**2*xi(
1,1)**3 - 5*xi(4,3)*xi(2,1)**2*xi(1,1) + 2*xi(3,3)**4*xi(2,1)**3*xi(1,1) + 4*xi(
3,3)**2*xi(2,1)**3*xi(1,1) + 2*xi(2,1)**3*xi(1,1))/(xi(4,3)**4*xi(2,1)*xi(1,1)**
2 + xi(4,3)**4*xi(2,1) - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi
(2,1)**2*xi(1,1)**2 - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3
)**3*xi(1,1)**2 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(
3,3)**2*xi(2,1)*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3
)*xi(2,1)**3*xi(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi
(3,3)*xi(2,1)*xi(1,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**
2 + 3*xi(4,3)**2*xi(2,1) - 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(
3,3)**2*xi(2,1)**4 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3
)**2*xi(2,1)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi
(4,3)*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*
xi(3,3)**2*xi(2,1)**3 + xi(2,1)**3) + x(5)*( - 2*xi(4,3)**3*xi(3,3)*xi(2,1)*xi(1
,1)**3 - 2*xi(4,3)**3*xi(3,3)*xi(2,1)*xi(1,1) - xi(4,3)**3*xi(2,1)**3*xi(1,1)**2
 - xi(4,3)**3*xi(2,1)**3 - xi(4,3)**3*xi(2,1)*xi(1,1)**4 + xi(4,3)**3*xi(2,1) + 
5*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**2
 - xi(4,3)**2*xi(3,3)**2*xi(1,1)**4 - 2*xi(4,3)**2*xi(3,3)**2*xi(1,1)**2 - xi(4,
3)**2*xi(3,3)**2 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**4*xi(1,1) + 2*xi(4,3)**2*xi(3,3
)*xi(2,1)**2*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**2*xi(1,1) + 2*xi(4,3)**2
*xi(2,1)**4 + 3*xi(4,3)**2*xi(2,1)**2*xi(1,1)**2 - xi(4,3)**2*xi(2,1)**2 - xi(4,
3)**2*xi(1,1)**4 - 2*xi(4,3)**2*xi(1,1)**2 - xi(4,3)**2 - 4*xi(4,3)*xi(3,3)**3*
xi(2,1)**3*xi(1,1) + 2*xi(4,3)*xi(3,3)**3*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)*xi(3,3)
**3*xi(2,1)*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**5 - xi(4,3)*xi(3,3)**2*xi(2,1)
**3*xi(1,1)**2 - xi(4,3)*xi(3,3)**2*xi(2,1)**3 + 2*xi(4,3)*xi(3,3)**2*xi(2,1)*xi
(1,1)**2 + 2*xi(4,3)*xi(3,3)**2*xi(2,1) - 4*xi(4,3)*xi(3,3)*xi(2,1)**3*xi(1,1) +
 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - xi(4
,3)*xi(2,1)**5 - xi(4,3)*xi(2,1)**3*xi(1,1)**2 - xi(4,3)*xi(2,1)**3 + 2*xi(4,3)*
xi(2,1)*xi(1,1)**2 + 2*xi(4,3)*xi(2,1) + xi(3,3)**4*xi(2,1)**4 - xi(3,3)**4*xi(2
,1)**2*xi(1,1)**2 - xi(3,3)**4*xi(2,1)**2 + 2*xi(3,3)**2*xi(2,1)**4 - 2*xi(3,3)
**2*xi(2,1)**2*xi(1,1)**2 - 2*xi(3,3)**2*xi(2,1)**2 + xi(2,1)**4 - xi(2,1)**2*xi
(1,1)**2 - xi(2,1)**2)/(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*xi(2,1) - 2*
xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(
4,3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2 - xi(4,3)**
3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**2 
+ xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) + 2*xi
(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1) + 3*
xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1) -
 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - xi(4,
3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3
)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**
2 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(
2,1)**3)},
{{2,1},
(x(6)*(xi(6,3)*xi(2,1) + xi(4,3)*xi(3,1) - xi(4,1)*xi(3,3) + xi(4,1)*xi(1,1)))/
xi(2,1) + (x(5)*(xi(5,3)*xi(4,3)*xi(2,1) + xi(4,3)*xi(3,3)*xi(3,1) + xi(4,3)*xi(
3,1)*xi(1,1) - xi(4,1)*xi(3,3)**2 - xi(4,1)))/(xi(4,3)*xi(2,1)) + xi(4,3)*x(4) +
 x(3)*(xi(3,3) + xi(1,1))},
{{2,2},
(x(6)*( - xi(4,3)*xi(3,3)*xi(3,1) - xi(4,3)*xi(3,1)*xi(1,1) + xi(4,1)*xi(3,3)**2
 + xi(4,1)))/(xi(4,3)*xi(2,1)) + (x(5)*(xi(4,3)*xi(3,1) - xi(4,1)*xi(3,3) + xi(4
,1)*xi(1,1)))/xi(2,1) - (x(3)*(xi(1,1)**2 + 1))/xi(2,1)},
{{2,3},
(x(6)*xi(4,3)*(2*xi(4,3)**3*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**3*xi(2,1)*xi(1,1) - 
5*xi(4,3)**2*xi(3,3)*xi(2,1)**2*xi(1,1)**2 - xi(4,3)**2*xi(3,3)*xi(2,1)**2 + xi(
4,3)**2*xi(3,3)*xi(1,1)**4 + 2*xi(4,3)**2*xi(3,3)*xi(1,1)**2 + xi(4,3)**2*xi(3,3
) - xi(4,3)**2*xi(2,1)**2*xi(1,1)**3 - 5*xi(4,3)**2*xi(2,1)**2*xi(1,1) - xi(4,3)
**2*xi(1,1)**5 - 2*xi(4,3)**2*xi(1,1)**3 - xi(4,3)**2*xi(1,1) + 4*xi(4,3)*xi(3,3
)**2*xi(2,1)**3*xi(1,1) - 2*xi(4,3)*xi(3,3)**2*xi(2,1)*xi(1,1)**3 - 2*xi(4,3)*xi
(3,3)**2*xi(2,1)*xi(1,1) + 2*xi(4,3)*xi(3,3)*xi(2,1)**3*xi(1,1)**2 + 2*xi(4,3)*
xi(3,3)*xi(2,1)**3 + 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1)**4 - 2*xi(4,3)*xi(3,3)*xi
(2,1) + 4*xi(4,3)*xi(2,1)**3*xi(1,1) + 2*xi(4,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)*
xi(2,1)*xi(1,1) - xi(3,3)**3*xi(2,1)**4 + xi(3,3)**3*xi(2,1)**2*xi(1,1)**2 + xi(
3,3)**3*xi(2,1)**2 - xi(3,3)**2*xi(2,1)**4*xi(1,1) - xi(3,3)**2*xi(2,1)**2*xi(1,
1)**3 - xi(3,3)**2*xi(2,1)**2*xi(1,1) - xi(3,3)*xi(2,1)**4 + xi(3,3)*xi(2,1)**2*
xi(1,1)**2 + xi(3,3)*xi(2,1)**2 - xi(2,1)**4*xi(1,1) - xi(2,1)**2*xi(1,1)**3 - 
xi(2,1)**2*xi(1,1)))/(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*xi(2,1) - 2*xi(
4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3
)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2 - xi(4,3)**3 +
 xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + 
xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) + 2*xi(4
,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1) + 3*xi(
4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1) - 2*
xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - xi(4,3)*
xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3)*
xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**2 
- 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(2,
1)**3) + (x(5)*xi(4,3)*(xi(4,3)**3*xi(2,1)**3*xi(1,1)**2 + xi(4,3)**3*xi(2,1)**3
 - xi(4,3)**3*xi(2,1)*xi(1,1)**4 - 2*xi(4,3)**3*xi(2,1)*xi(1,1)**2 - xi(4,3)**3*
xi(2,1) - 2*xi(4,3)**2*xi(3,3)*xi(2,1)**4*xi(1,1) + 4*xi(4,3)**2*xi(3,3)*xi(2,1)
**2*xi(1,1)**3 + 4*xi(4,3)**2*xi(3,3)*xi(2,1)**2*xi(1,1) - 2*xi(4,3)**2*xi(2,1)
**4 + xi(4,3)**2*xi(2,1)**2*xi(1,1)**4 + 2*xi(4,3)**2*xi(2,1)**2*xi(1,1)**2 + xi
(4,3)**2*xi(2,1)**2 + xi(4,3)**2*xi(1,1)**6 + 3*xi(4,3)**2*xi(1,1)**4 + 3*xi(4,3
)**2*xi(1,1)**2 + xi(4,3)**2 + xi(4,3)*xi(3,3)**2*xi(2,1)**5 - 5*xi(4,3)*xi(3,3)
**2*xi(2,1)**3*xi(1,1)**2 - xi(4,3)*xi(3,3)**2*xi(2,1)**3 - 2*xi(4,3)*xi(3,3)*xi
(2,1)**3*xi(1,1)**3 - 2*xi(4,3)*xi(3,3)*xi(2,1)**3*xi(1,1) - 2*xi(4,3)*xi(3,3)*
xi(2,1)*xi(1,1)**5 - 4*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1)**3 - 2*xi(4,3)*xi(3,3)*xi
(2,1)*xi(1,1) + xi(4,3)*xi(2,1)**5 - 3*xi(4,3)*xi(2,1)**3*xi(1,1)**2 + xi(4,3)*
xi(2,1)**3 - 2*xi(4,3)*xi(2,1)*xi(1,1)**4 - 4*xi(4,3)*xi(2,1)*xi(1,1)**2 - 2*xi(
4,3)*xi(2,1) + 2*xi(3,3)**3*xi(2,1)**4*xi(1,1) + xi(3,3)**2*xi(2,1)**4*xi(1,1)**
2 - xi(3,3)**2*xi(2,1)**4 + xi(3,3)**2*xi(2,1)**2*xi(1,1)**4 + 2*xi(3,3)**2*xi(2
,1)**2*xi(1,1)**2 + xi(3,3)**2*xi(2,1)**2 + 2*xi(3,3)*xi(2,1)**4*xi(1,1) + xi(2,
1)**4*xi(1,1)**2 - xi(2,1)**4 + xi(2,1)**2*xi(1,1)**4 + 2*xi(2,1)**2*xi(1,1)**2 
+ xi(2,1)**2))/(xi(2,1)*(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*xi(2,1) - 2*
xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(
4,3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2 - xi(4,3)**
3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**2 
+ xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) + 2*xi
(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1) + 3*
xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1) -
 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - xi(4,
3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3
)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**
2 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(
2,1)**3))},
{{2,4},
(x(6)*( - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1)**3 - 2*xi(4,3)**3*xi(3,3)*xi(2
,1)**2*xi(1,1) + xi(4,3)**3*xi(2,1)**2*xi(1,1)**4 - xi(4,3)**3*xi(2,1)**2 + xi(4
,3)**3*xi(1,1)**6 + 3*xi(4,3)**3*xi(1,1)**4 + 3*xi(4,3)**3*xi(1,1)**2 + xi(4,3)
**3 + 5*xi(4,3)**2*xi(3,3)**2*xi(2,1)**3*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2
,1)**3 - xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**4 - 2*xi(4,3)**2*xi(3,3)**2*xi(2
,1)*xi(1,1)**2 - xi(4,3)**2*xi(3,3)**2*xi(2,1) - 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3
*xi(1,1)**3 + 6*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) - 2*xi(4,3)**2*xi(3,3)*xi(
2,1)*xi(1,1)**5 - 4*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 - 2*xi(4,3)**2*xi(3,3)
*xi(2,1)*xi(1,1) - xi(4,3)**2*xi(2,1)**3*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1)**3 - 
3*xi(4,3)**2*xi(2,1)*xi(1,1)**4 - 6*xi(4,3)**2*xi(2,1)*xi(1,1)**2 - 3*xi(4,3)**2
*xi(2,1) - 4*xi(4,3)*xi(3,3)**3*xi(2,1)**4*xi(1,1) + 2*xi(4,3)*xi(3,3)**3*xi(2,1
)**2*xi(1,1)**3 + 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) + xi(4,3)*xi(3,3)**2*
xi(2,1)**4*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**4 + xi(4,3)*xi(3,3)**2*xi(
2,1)**2*xi(1,1)**4 + 4*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 + 3*xi(4,3)*xi(3
,3)**2*xi(2,1)**2 - 4*xi(4,3)*xi(3,3)*xi(2,1)**4*xi(1,1) + 2*xi(4,3)*xi(3,3)*xi(
2,1)**2*xi(1,1)**3 + 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) + xi(4,3)*xi(2,1)**4*
xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**4 + xi(4,3)*xi(2,1)**2*xi(1,1)**4 + 4*xi(4,3)*xi
(2,1)**2*xi(1,1)**2 + 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**5 - xi(3,3)**4*
xi(2,1)**3*xi(1,1)**2 - xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**5 - 2*xi(3
,3)**2*xi(2,1)**3*xi(1,1)**2 - 2*xi(3,3)**2*xi(2,1)**3 + xi(2,1)**5 - xi(2,1)**3
*xi(1,1)**2 - xi(2,1)**3))/(xi(2,1)*(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*
xi(2,1) - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1
)**2 - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2
 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)
*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi
(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*
xi(1,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)
**2*xi(2,1) - 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,
1)**4 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)
**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1
)**2*xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi
(2,1)**3 + xi(2,1)**3)) + x(5)*( - xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1)**2 - xi
(4,3)**3*xi(3,3)*xi(2,1)**2 + xi(4,3)**3*xi(3,3)*xi(1,1)**4 + 2*xi(4,3)**3*xi(3,
3)*xi(1,1)**2 + xi(4,3)**3*xi(3,3) + xi(4,3)**3*xi(2,1)**2*xi(1,1)**3 + xi(4,3)
**3*xi(2,1)**2*xi(1,1) + xi(4,3)**3*xi(1,1)**5 + 2*xi(4,3)**3*xi(1,1)**3 + xi(4,
3)**3*xi(1,1) + 2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**3*xi(1,1) - 4*xi(4,3)**2*xi(3,3
)**2*xi(2,1)*xi(1,1)**3 - 4*xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1) - 2*xi(4,3)**2
*xi(3,3)*xi(2,1)**3*xi(1,1)**2 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 - 2*xi(4,3)**2*
xi(3,3)*xi(2,1)*xi(1,1)**4 - 4*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**2 - 2*xi(4,3)
**2*xi(3,3)*xi(2,1) - 2*xi(4,3)**2*xi(2,1)**3*xi(1,1) - 4*xi(4,3)**2*xi(2,1)*xi(
1,1)**3 - 4*xi(4,3)**2*xi(2,1)*xi(1,1) - xi(4,3)*xi(3,3)**3*xi(2,1)**4 + 5*xi(4,
3)*xi(3,3)**3*xi(2,1)**2*xi(1,1)**2 + xi(4,3)*xi(3,3)**3*xi(2,1)**2 + xi(4,3)*xi
(3,3)**2*xi(2,1)**4*xi(1,1) + xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**3 + 5*xi(4,
3)*xi(3,3)**2*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)*xi(2,1)**4 + 5*xi(4,3)*xi(3,3
)*xi(2,1)**2*xi(1,1)**2 + xi(4,3)*xi(3,3)*xi(2,1)**2 + xi(4,3)*xi(2,1)**4*xi(1,1
) + xi(4,3)*xi(2,1)**2*xi(1,1)**3 + 5*xi(4,3)*xi(2,1)**2*xi(1,1) - 2*xi(3,3)**4*
xi(2,1)**3*xi(1,1) - 4*xi(3,3)**2*xi(2,1)**3*xi(1,1) - 2*xi(2,1)**3*xi(1,1))/(xi
(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*xi(2,1) - 2*xi(4,3)**3*xi(3,3)*xi(2,1)
**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,
3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*
xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi
(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*
xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*
xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1) - 2*xi(4,3)*xi(3,3)**3*xi(2
,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*
xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1
,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**2 
+ xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(2,1)**3)},
{{3,1},
(x(6)*xi(2,1)*( - xi(4,3)**3 + xi(4,3)**2*xi(2,1) - xi(4,3)*xi(3,3)**2 + 2*xi(4,
3)*xi(3,3)*xi(1,1) + xi(4,3) - xi(3,3)**2*xi(2,1) - xi(2,1)))/(xi(4,3)**2*xi(2,1
) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(
2,1)) + (x(5)*xi(2,1)*( - xi(4,3)**2*xi(3,3) - xi(4,3)**2*xi(1,1) + 2*xi(4,3)*xi
(3,3)*xi(2,1) - xi(3,3)**3 + xi(3,3)**2*xi(1,1) - xi(3,3) + xi(1,1)))/(xi(4,3)**
2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,
1) + xi(2,1))},
{{3,2},
x(6)*(xi(4,3)**2*xi(3,3)*xi(2,1) - xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(3,3
)*xi(1,1)**2 - 2*xi(4,3)*xi(3,3) + xi(3,3)**3*xi(2,1) + xi(3,3)**2*xi(2,1)*xi(1,
1) + xi(3,3)*xi(2,1) + xi(2,1)*xi(1,1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2
 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)) + x(5)*( - xi(4,
3)**3*xi(2,1) + xi(4,3)**2*xi(1,1)**2 + xi(4,3)**2 - xi(4,3)*xi(3,3)**2*xi(2,1) 
- 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) + xi(4,3)*xi(2,1) - xi(3,3)**2*xi(1,1)**2 - 
xi(3,3)**2 - xi(1,1)**2 - 1)/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*
xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))},
{{4,1},
(x(6)*xi(2,1)*(xi(4,3)**4*xi(3,3)*xi(1,1)**2 + xi(4,3)**4*xi(3,3) + xi(4,3)**4*
xi(1,1)**3 + xi(4,3)**4*xi(1,1) - 2*xi(4,3)**3*xi(3,3)**2*xi(2,1)*xi(1,1) - 4*xi
(4,3)**3*xi(3,3)*xi(2,1)*xi(1,1)**2 - 4*xi(4,3)**3*xi(3,3)*xi(2,1) - 2*xi(4,3)**
3*xi(2,1)*xi(1,1) + xi(4,3)**2*xi(3,3)**3*xi(2,1)**2 + xi(4,3)**2*xi(3,3)**3*xi(
1,1)**2 + xi(4,3)**2*xi(3,3)**3 + 5*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*xi(1,1) - 
xi(4,3)**2*xi(3,3)**2*xi(1,1)**3 - xi(4,3)**2*xi(3,3)**2*xi(1,1) + 5*xi(4,3)**2*
xi(3,3)*xi(2,1)**2 + xi(4,3)**2*xi(3,3)*xi(1,1)**2 + xi(4,3)**2*xi(3,3) + xi(4,3
)**2*xi(2,1)**2*xi(1,1) - xi(4,3)**2*xi(1,1)**3 - xi(4,3)**2*xi(1,1) - 2*xi(4,3)
*xi(3,3)**4*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(3,3)**3*xi(2,1)**3 + 2*xi(4,3)*xi(3,3
)**3*xi(2,1)*xi(1,1)**2 - 2*xi(4,3)*xi(3,3)**3*xi(2,1) - 2*xi(4,3)*xi(3,3)*xi(2,
1)**3 + 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1) + 2*xi(
4,3)*xi(2,1)*xi(1,1) + xi(3,3)**5*xi(2,1)**2 - xi(3,3)**4*xi(2,1)**2*xi(1,1) + 2
*xi(3,3)**3*xi(2,1)**2 - 2*xi(3,3)**2*xi(2,1)**2*xi(1,1) + xi(3,3)*xi(2,1)**2 - 
xi(2,1)**2*xi(1,1)))/(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*xi(2,1) - 2*xi(
4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3
)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2 - xi(4,3)**3 +
 xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + 
xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) + 2*xi(4
,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1) + 3*xi(
4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1) - 2*
xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - xi(4,3)*
xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3)*
xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**2 
- 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(2,
1)**3) + (x(5)*xi(2,1)*(xi(4,3)**5*xi(2,1)*xi(1,1)**2 + xi(4,3)**5*xi(2,1) + xi(
4,3)**4*xi(3,3)**2*xi(1,1)**2 + xi(4,3)**4*xi(3,3)**2 - 2*xi(4,3)**4*xi(3,3)*xi(
2,1)**2*xi(1,1) + 2*xi(4,3)**4*xi(3,3)*xi(1,1)**3 + 2*xi(4,3)**4*xi(3,3)*xi(1,1)
 - 2*xi(4,3)**4*xi(2,1)**2 - xi(4,3)**4*xi(1,1)**2 - xi(4,3)**4 - 2*xi(4,3)**3*
xi(3,3)**3*xi(2,1)*xi(1,1) + xi(4,3)**3*xi(3,3)**2*xi(2,1)**3 - 5*xi(4,3)**3*xi(
3,3)**2*xi(2,1)*xi(1,1)**2 - 3*xi(4,3)**3*xi(3,3)**2*xi(2,1) - 2*xi(4,3)**3*xi(3
,3)*xi(2,1)*xi(1,1) + xi(4,3)**3*xi(2,1)**3 - xi(4,3)**3*xi(2,1)*xi(1,1)**2 + xi
(4,3)**3*xi(2,1) + xi(4,3)**2*xi(3,3)**4*xi(2,1)**2 + xi(4,3)**2*xi(3,3)**4*xi(1
,1)**2 + xi(4,3)**2*xi(3,3)**4 + 4*xi(4,3)**2*xi(3,3)**3*xi(2,1)**2*xi(1,1) + 2*
xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 + 2*xi(4,3)**2*xi(3,3)**2*xi(1,1)**2 + 2*xi(4,3
)**2*xi(3,3)**2 + 4*xi(4,3)**2*xi(3,3)*xi(2,1)**2*xi(1,1) + xi(4,3)**2*xi(2,1)**
2 + xi(4,3)**2*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)**5*xi(2,1)*xi(1,1) - 
xi(4,3)*xi(3,3)**4*xi(2,1)**3 - 2*xi(4,3)*xi(3,3)**4*xi(2,1) - 4*xi(4,3)*xi(3,3)
**3*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - 4*xi(4,3)*xi(3,3)**2*xi(
2,1) - 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - xi(4,3)*xi(2,1)**3 - 2*xi(4,3)*xi(2,1
) + xi(3,3)**6*xi(2,1)**2 + 3*xi(3,3)**4*xi(2,1)**2 + 3*xi(3,3)**2*xi(2,1)**2 + 
xi(2,1)**2))/(xi(4,3)*(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*xi(2,1) - 2*xi
(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,
3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2 - xi(4,3)**3 
+ xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + 
xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) + 2*xi(4
,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1) + 3*xi(
4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1) - 2*
xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - xi(4,3)*
xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3)*
xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**2 
- 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(2,
1)**3))},
{{4,2},
(x(6)*( - xi(4,3)**5*xi(1,1)**4 - 2*xi(4,3)**5*xi(1,1)**2 - xi(4,3)**5 - xi(4,3)
**4*xi(3,3)**2*xi(2,1)*xi(1,1)**2 - xi(4,3)**4*xi(3,3)**2*xi(2,1) + 4*xi(4,3)**4
*xi(3,3)*xi(2,1)*xi(1,1)**3 + 4*xi(4,3)**4*xi(3,3)*xi(2,1)*xi(1,1) + 3*xi(4,3)**
4*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**4*xi(2,1) + 2*xi(4,3)**3*xi(3,3)**3*xi(2,1)**2
*xi(1,1) - 5*xi(4,3)**3*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 + xi(4,3)**3*xi(3,3)**2
*xi(2,1)**2 + xi(4,3)**3*xi(3,3)**2*xi(1,1)**4 + 2*xi(4,3)**3*xi(3,3)**2*xi(1,1)
**2 + xi(4,3)**3*xi(3,3)**2 - 6*xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)
**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)**3*xi(2,1)**2 + xi(4,3)**3*xi(1,1)**4 + 2*
xi(4,3)**3*xi(1,1)**2 + xi(4,3)**3 - xi(4,3)**2*xi(3,3)**4*xi(2,1)**3 - xi(4,3)
**2*xi(3,3)**4*xi(2,1)*xi(1,1)**2 - xi(4,3)**2*xi(3,3)**4*xi(2,1) + 2*xi(4,3)**2
*xi(3,3)**3*xi(2,1)**3*xi(1,1) - 2*xi(4,3)**2*xi(3,3)**3*xi(2,1)*xi(1,1)**3 - 2*
xi(4,3)**2*xi(3,3)**3*xi(2,1)*xi(1,1) - 4*xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)
**2 - 4*xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) 
- 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 - 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)
 + xi(4,3)**2*xi(2,1)**3 - 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 - 3*xi(4,3)**2*xi(2,1
) + 2*xi(4,3)*xi(3,3)**5*xi(2,1)**2*xi(1,1) + xi(4,3)*xi(3,3)**4*xi(2,1)**2*xi(1
,1)**2 + 3*xi(4,3)*xi(3,3)**4*xi(2,1)**2 + 4*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,
1) + 2*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 + 6*xi(4,3)*xi(3,3)**2*xi(2,1)**
2 + 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) + xi(4,3)*xi(2,1)**2*xi(1,1)**2 + 3*xi(
4,3)*xi(2,1)**2 - xi(3,3)**6*xi(2,1)**3 - 3*xi(3,3)**4*xi(2,1)**3 - 3*xi(3,3)**2
*xi(2,1)**3 - xi(2,1)**3))/(xi(4,3)*(xi(4,3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*
xi(2,1) - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1
)**2 - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2
 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)
*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi
(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*
xi(1,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)
**2*xi(2,1) - 2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,
1)**4 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)
**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1
)**2*xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi
(2,1)**3 + xi(2,1)**3)) + x(5)*(xi(4,3)**4*xi(3,3)*xi(2,1)*xi(1,1)**2 + xi(4,3)
**4*xi(3,3)*xi(2,1) - xi(4,3)**4*xi(2,1)*xi(1,1)**3 - xi(4,3)**4*xi(2,1)*xi(1,1)
 - 2*xi(4,3)**3*xi(3,3)**2*xi(2,1)**2*xi(1,1) + 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*
xi(1,1)**2 - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - 2*xi(4,3)**3*xi(3,3)*xi(1,1)**4 -
 4*xi(4,3)**3*xi(3,3)*xi(1,1)**2 - 2*xi(4,3)**3*xi(3,3) + 2*xi(4,3)**3*xi(2,1)**
2*xi(1,1) + xi(4,3)**2*xi(3,3)**3*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**3*xi(2,1)*xi(
1,1)**2 + xi(4,3)**2*xi(3,3)**3*xi(2,1) - xi(4,3)**2*xi(3,3)**2*xi(2,1)**3*xi(1,
1) + 5*xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**3 + 5*xi(4,3)**2*xi(3,3)**2*xi(2,1
)*xi(1,1) + xi(4,3)**2*xi(3,3)*xi(2,1)**3 + 5*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1)
**2 + 5*xi(4,3)**2*xi(3,3)*xi(2,1) - xi(4,3)**2*xi(2,1)**3*xi(1,1) + xi(4,3)**2*
xi(2,1)*xi(1,1)**3 + xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(3,3)**4*xi(2,1)**
2*xi(1,1) - 4*xi(4,3)*xi(3,3)**3*xi(2,1)**2*xi(1,1)**2 - 4*xi(4,3)*xi(3,3)**3*xi
(2,1)**2 - 4*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1) - 4*xi(4,3)*xi(3,3)*xi(2,1)**
2*xi(1,1)**2 - 4*xi(4,3)*xi(3,3)*xi(2,1)**2 - 2*xi(4,3)*xi(2,1)**2*xi(1,1) + xi(
3,3)**5*xi(2,1)**3 + xi(3,3)**4*xi(2,1)**3*xi(1,1) + 2*xi(3,3)**3*xi(2,1)**3 + 2
*xi(3,3)**2*xi(2,1)**3*xi(1,1) + xi(3,3)*xi(2,1)**3 + xi(2,1)**3*xi(1,1))/(xi(4,
3)**4*xi(2,1)*xi(1,1)**2 + xi(4,3)**4*xi(2,1) - 2*xi(4,3)**3*xi(3,3)*xi(2,1)**2*
xi(1,1) - xi(4,3)**3*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**
3*xi(1,1)**4 - 2*xi(4,3)**3*xi(1,1)**2 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*xi(2
,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + xi(4,3)**2*xi(3,3)**2*xi(2,1
) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*xi(1,1) + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,
1)**3 + 2*xi(4,3)**2*xi(3,3)*xi(2,1)*xi(1,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*xi(4,
3)**2*xi(2,1)*xi(1,1)**2 + 3*xi(4,3)**2*xi(2,1) - 2*xi(4,3)*xi(3,3)**3*xi(2,1)**
2*xi(1,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1
)**2 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)**2*xi(1,1) - 
xi(4,3)*xi(2,1)**4 - xi(4,3)*xi(2,1)**2*xi(1,1)**2 - 3*xi(4,3)*xi(2,1)**2 + xi(3
,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(2,1)**3)}}$

\\ \starline \\ \4stars $

Now we consider the special case of the canonical structure:$

  \\ \4stars Now the nonzero torsion equations left are :$

\\ Torsion equations to cancel (Latex output) : USD$

USD$

\\ \P \\$

\par The matrix USD J USD is :\\$

USD  J^1_1=0;USD\\$

USD  J^1_2=-1;USD\\$

USD  J^1_3=0;USD\\$

USD  J^1_4=0;USD\\$

USD  J^1_5=0;USD\\$

USD  J^1_6=0;USD\\$

USD  J^2_1=1;USD\\$

USD  J^2_2=0;USD\\$

USD  J^2_3=0;USD\\$

USD  J^2_4=0;USD\\$

USD  J^2_5=0;USD\\$

USD  J^2_6=0;USD\\$

USD  J^3_1=0;USD\\$

USD  J^3_2=0;USD\\$

USD  J^3_3=0;USD\\$

USD  J^3_4=1;USD\\$

USD  J^3_5=0;USD\\$

USD  J^3_6=0;USD\\$

USD  J^4_1=0;USD\\$

USD  J^4_2=0;USD\\$

USD  J^4_3=-1;USD\\$

USD  J^4_4=0;USD\\$

USD  J^4_5=0;USD\\$

USD  J^4_6=0;USD\\$

USD  J^5_1=0;USD\\$

USD  J^5_2=0;USD\\$

USD  J^5_3=0;USD\\$

USD  J^5_4=0;USD\\$

USD  J^5_5=0;USD\\$

USD  J^5_6=1;USD\\$

USD  J^6_1=0;USD\\$

USD  J^6_2=0;USD\\$

USD  J^6_3=0;USD\\$

USD  J^6_4=0;USD\\$

USD  J^6_5=-1;USD\\$

USD  J^6_6=0;USD\\$

USD  {J**2}^1_1=-1;USD\\$

USD  {J**2}^1_2=0;USD\\$

USD  {J**2}^1_3=0;USD\\$

USD  {J**2}^1_4=0;USD\\$

USD  {J**2}^1_5=0;USD\\$

USD  {J**2}^1_6=0;USD\\$

USD  {J**2}^2_1=0;USD\\$

USD  {J**2}^2_2=-1;USD\\$

USD  {J**2}^2_3=0;USD\\$

USD  {J**2}^2_4=0;USD\\$

USD  {J**2}^2_5=0;USD\\$

USD  {J**2}^2_6=0;USD\\$

USD  {J**2}^3_1=0;USD\\$

USD  {J**2}^3_2=0;USD\\$

USD  {J**2}^3_3=-1;USD\\$

USD  {J**2}^3_4=0;USD\\$

USD  {J**2}^3_5=0;USD\\$

USD  {J**2}^3_6=0;USD\\$

USD  {J**2}^4_1=0;USD\\$

USD  {J**2}^4_2=0;USD\\$

USD  {J**2}^4_3=0;USD\\$

USD  {J**2}^4_4=-1;USD\\$

USD  {J**2}^4_5=0;USD\\$

USD  {J**2}^4_6=0;USD\\$

USD  {J**2}^5_1=0;USD\\$

USD  {J**2}^5_2=0;USD\\$

USD  {J**2}^5_3=0;USD\\$

USD  {J**2}^5_4=0;USD\\$

USD  {J**2}^5_5=-1;USD\\$

USD  {J**2}^5_6=0;USD\\$

USD  {J**2}^6_1=0;USD\\$

USD  {J**2}^6_2=0;USD\\$

USD  {J**2}^6_3=0;USD\\$

USD  {J**2}^6_4=0;USD\\$

USD  {J**2}^6_5=0;USD\\$

USD  {J**2}^6_6=-1;USD\\$

\\$ det J:=1$

Trace J:=0$

\\$

{\fontsize{8}{10} \selectfont$

\begin{equation}$

 J = \begin{pmatrix}$

0&$

-1&$

0&$

0&$

0&$

0\\$

1&$

0&$

0&$

0&$

0&$

0\\$

0&$

0&$

0&$

1&$

0&$

0\\$

0&$

0&$

-1&$

0&$

0&$

0\\$

0&$

0&$

0&$

0&$

0&$

1\\$

0&$

0&$

0&$

0&$

-1&$

0\end{pmatrix}$

\end{equation}$

}$

USDUSD J^2 = \begin{pmatrix}$

-1&$

0&$

0&$

0&$

0&$

0\\$

0&$

-1&$

0&$

0&$

0&$

0\\$

0&$

0&$

-1&$

0&$

0&$

0\\$

0&$

0&$

0&$

-1&$

0&$

0\\$

0&$

0&$

0&$

0&$

-1&$

0\\$

0&$

0&$

0&$

0&$

0&$

-1\end{pmatrix}USDUSD$

\\USD det J:=1 USD$

USD Trace J:=0 USD$

\\ check of torsion$

\\Torsion equations to cancel (Latex output) : \\USD$

USD $

zero torsion$

\par Commutation relations of USD \mathfrak{m} : USD$

\\ USD  [\tilde{x}_1,\tilde{x}_3]=2*tildex_5;\\USD$

\\ USD  [\tilde{x}_1,\tilde{x}_4]=2*tildex_6;\\USD$

\\ USD  [\tilde{x}_2,\tilde{x}_3]= - 2*tildex_6;\\USD$

\\ USD  [\tilde{x}_2,\tilde{x}_4]=2*tildex_5;\\USD$

\P$

\par Now we check if the condition USD [Jx,y]= J[x,y] USD is satisfied$

USD\forall x,y \in {\mathcal{G}}_{6,m10},USD$

\textit{i.e.} if USD{\mathcal{G}}_{6,m10}USD$

is a \textit{complex} algebra.$

\\USD J[x_j,x_k] \neq [Jx_j,x_k] USD
in the following cases{{{1,1}, - x(3)},
{{1,2},x(4)},
{{2,1}, - x(4)},
{{2,2}, - x(3)}}$



clear! !U!S!Dxi(1,1),xi(2,1),xi(3,1),xi(4,1),xi(5,3),xi(6,1),xi(6,2),xi(6,3),xi(
3,\
3),xi(4,3)!U!S!D$

\\  \4stars Now the nonzero torsion equations left are :$

\\ Torsion equations to cancel (Latex output) : USD$

USD$

\\ \P \\$

\par The matrix USD J USD is :\\$

USD  J^1_1=xi(1,1);USD\\$

USD  J^1_2=( - (xi(1,1)**2 + 1))/xi(2,1);USD\\$

USD  J^1_3=0;USD\\$

USD  J^1_4=0;USD\\$

USD  J^1_5=0;USD\\$

USD  J^1_6=0;USD\\$

USD  J^2_1=xi(2,1);USD\\$

USD  J^2_2= - xi(1,1);USD\\$

USD  J^2_3=0;USD\\$

USD  J^2_4=0;USD\\$

USD  J^2_5=0;USD\\$

USD  J^2_6=0;USD\\$

USD  J^3_1=xi(3,1);USD\\$

USD  J^3_2=((xi(3,3)**2 + 1)*xi(4,1) - (xi(3,3) + xi(1,1))*xi(4,3)*xi(3,1))/(xi(
4,3)*xi(2,1));USD\\$

USD  J^3_3=xi(3,3);USD\\$

USD  J^3_4=( - (xi(3,3)**2 + 1))/xi(4,3);USD\\$

USD  J^3_5=0;USD\\$

USD  J^3_6=0;USD\\$

USD  J^4_1=xi(4,1);USD\\$

USD  J^4_2=((xi(3,3) - xi(1,1))*xi(4,1) - xi(4,3)*xi(3,1))/xi(2,1);USD\\$

USD  J^4_3=xi(4,3);USD\\$

USD  J^4_4= - xi(3,3);USD\\$

USD  J^4_5=0;USD\\$

USD  J^4_6=0;USD\\$

USD  J^5_1=(((2*xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*xi
(3,3) - (xi(1,1)**2 + 1 + xi(2,1)**2)*xi(1,1))*xi(6,1)*xi(4,3)**2 + ((xi(4,3)*xi
(1,1)**2 + xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**
2 + 1)*xi(2,1)**2)*xi(5,3)*xi(4,1) + (xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - 
xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))*xi(6,2)*xi(4,3)*xi(
2,1) - ((((xi(3,3) - xi(1,1))*xi(4,1) - xi(4,3)*xi(3,1))*(xi(3,3)**2 + 1) - (xi(
4,3)**2*xi(3,1) - xi(4,3)*xi(4,1)*xi(3,3) - xi(4,3)*xi(4,1)*xi(1,1) + 2*xi(4,1)*
xi(3,3)*xi(2,1))*xi(4,3))*xi(2,1) + (xi(1,1)**2 + 1 + xi(2,1)**2)*xi(4,3)**2*xi(
3,1))*xi(6,3))/((xi(4,3)**2*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*
xi(1,1) - 2*xi(4,3)*xi(2,1) + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2)*xi(4,3));USD\\
$

USD  J^5_2=(xi(6,3)*xi(4,3)**2*xi(4,1)*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,3)**2*
xi(4,1)*xi(2,1) - xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)**2 + xi(6,3)*xi(4,3
)**2*xi(3,3)*xi(3,1)*xi(1,1)**2 + xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1) + xi(6,3)*
xi(4,3)**2*xi(3,1)*xi(2,1)**2*xi(1,1) + xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1)**3 + 
xi(6,3)*xi(4,3)**2*xi(3,1)*xi(1,1) + xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)
**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(1,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi
(3,3)**2 - 2*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)**2*xi(1,1) - xi(6,3)*xi(4,3
)*xi(4,1)*xi(2,1)**2 - xi(6,3)*xi(4,3)*xi(4,1)*xi(1,1)**2 - xi(6,3)*xi(4,3)*xi(4
,1) - 2*xi(6,3)*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(2,1)*xi(1,1) - 2*xi(6,3)*xi(4,3)*
xi(3,1)*xi(2,1)*xi(1,1) + 2*xi(6,3)*xi(4,1)*xi(3,3)**3*xi(2,1)*xi(1,1) - xi(6,3)
*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1)**2 + xi(6,3)*xi(4,1)*xi(3,3)**2*xi(2,1) + 2*
xi(6,3)*xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1) - xi(6,3)*xi(4,1)*xi(2,1)*xi(1,1)**2 + 
xi(6,3)*xi(4,1)*xi(2,1) - xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + xi(6,2)*xi(4,3
)**2*xi(3,3)*xi(2,1)*xi(1,1)**2 + xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1) + xi(6,2)*
xi(4,3)**2*xi(2,1)**3*xi(1,1) + xi(6,2)*xi(4,3)**2*xi(2,1)*xi(1,1)**3 + xi(6,2)*
xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**2*xi(1,1) - 2
*xi(6,2)*xi(4,3)*xi(2,1)**2*xi(1,1) - xi(6,1)*xi(4,3)**3*xi(2,1)*xi(1,1)**2 - xi
(6,1)*xi(4,3)**3*xi(2,1) + xi(6,1)*xi(4,3)**2*xi(2,1)**2*xi(1,1)**2 + xi(6,1)*xi
(4,3)**2*xi(2,1)**2 + xi(6,1)*xi(4,3)**2*xi(1,1)**4 + 2*xi(6,1)*xi(4,3)**2*xi(1,
1)**2 + xi(6,1)*xi(4,3)**2 - xi(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*xi(1,1)**2 - xi(
6,1)*xi(4,3)*xi(3,3)**2*xi(2,1) - xi(6,1)*xi(4,3)*xi(2,1)*xi(1,1)**2 - xi(6,1)*
xi(4,3)*xi(2,1) - xi(5,3)*xi(4,3)**3*xi(3,1)*xi(1,1)**2 - xi(5,3)*xi(4,3)**3*xi(
3,1) + xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3)*xi(1,1)**2 + xi(5,3)*xi(4,3)**2*xi(4,1
)*xi(3,3) - xi(5,3)*xi(4,3)**2*xi(4,1)*xi(1,1)**3 - xi(5,3)*xi(4,3)**2*xi(4,1)*
xi(1,1) + 2*xi(5,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)*xi(1,1) + 2*xi(5,3)*xi(4,
3)**2*xi(3,1)*xi(2,1) - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)*xi(1,1) + 2
*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)*xi(1,1)**2 - 2*xi(5,3)*xi(4,3)*xi(4,1)*
xi(3,3)*xi(2,1) + 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(2,1)*xi(1,1) - xi(5,3)*xi(4,3)*xi
(3,3)**2*xi(3,1)*xi(2,1)**2 - xi(5,3)*xi(4,3)*xi(3,1)*xi(2,1)**2 + xi(5,3)*xi(4,
1)*xi(3,3)**3*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2*xi(1,1) + xi(5,
3)*xi(4,1)*xi(3,3)*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(2,1)**2*xi(1,1))/((xi(4,3)**2
*xi(1,1)**2 + xi(4,3)**2 - 2*xi(4,3)*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(4,3)*xi(2,1)
 + xi(3,3)**2*xi(2,1)**2 + xi(2,1)**2)*xi(4,3)*xi(2,1));USD\\$

USD  J^5_3=xi(5,3);USD\\$

USD  J^5_4=( - (xi(6,3)*xi(4,3)**2*xi(2,1)**2 + 2*xi(6,3)*xi(4,3)*xi(3,3)*xi(2,1
)*xi(1,1) - 2*xi(6,3)*xi(4,3)*xi(2,1) + xi(6,3)*xi(3,3)**2*xi(1,1)**2 + xi(6,3)*
xi(3,3)**2 + xi(6,3)*xi(1,1)**2 + xi(6,3) + xi(5,3)*xi(4,3)**2*xi(3,3)*xi(2,1) -
 xi(5,3)*xi(4,3)**2*xi(2,1)*xi(1,1) - 2*xi(5,3)*xi(4,3)*xi(3,3)*xi(1,1)**2 - 2*
xi(5,3)*xi(4,3)*xi(3,3) + xi(5,3)*xi(3,3)**3*xi(2,1) + xi(5,3)*xi(3,3)**2*xi(2,1
)*xi(1,1) + xi(5,3)*xi(3,3)*xi(2,1) + xi(5,3)*xi(2,1)*xi(1,1)))/((xi(4,3)**2*xi(
2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)*xi(1,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + 
xi(2,1))*xi(4,3));USD\\$

USD  J^5_5= - (((xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*
xi(3,3))*xi(4,3) - (xi(3,3)**2 + 1)*xi(2,1)*xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,
1) - (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^5_6=((xi(4,3)*xi(2,1) + 2*xi(3,3)*xi(1,1) - 2)*xi(4,3)*xi(2,1) + (xi(3,3)
**2 + 1)*(xi(1,1)**2 + 1))/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi(1,1)**2 + 1))*xi(
4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_1=xi(6,1);USD\\$

USD  J^6_2=xi(6,2);USD\\$

USD  J^6_3=xi(6,3);USD\\$

USD  J^6_4=( - (((xi(4,3)*xi(3,3) + xi(4,3)*xi(1,1) - 2*xi(3,3)*xi(2,1))*xi(4,3)
 + (xi(3,3)**2 + 1)*(xi(3,3) - xi(1,1)))*xi(6,3)*xi(2,1) - ((xi(4,3)*xi(1,1)**2 
+ xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi
(2,1)**2)*xi(5,3)))/(((xi(4,3)**2 - xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)*xi(2,1) - 
(xi(1,1)**2 + 1)*xi(4,3))*xi(4,3));USD\\$

USD  J^6_5= - ((xi(4,3)*xi(1,1)**2 + xi(4,3) - 2*xi(3,3)*xi(2,1)*xi(1,1) - 2*xi(
2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)/(((xi(4,3) - xi(2,1))*xi(2,1) - (xi
(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_6=(((xi(4,3)*xi(1,1) - xi(3,3)*xi(2,1))*xi(2,1) + (xi(1,1)**2 + 1)*xi(3
,3))*xi(4,3) - (xi(3,3)**2 + 1)*xi(2,1)*xi(1,1))/(((xi(4,3) - xi(2,1))*xi(2,1) -
 (xi(1,1)**2 + 1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  {J**2}^1_1=-1;USD\\$

USD  {J**2}^1_2=0;USD\\$

USD  {J**2}^1_3=0;USD\\$

USD  {J**2}^1_4=0;USD\\$

USD  {J**2}^1_5=0;USD\\$

USD  {J**2}^1_6=0;USD\\$

USD  {J**2}^2_1=0;USD\\$

USD  {J**2}^2_2=-1;USD\\$

USD  {J**2}^2_3=0;USD\\$

USD  {J**2}^2_4=0;USD\\$

USD  {J**2}^2_5=0;USD\\$

USD  {J**2}^2_6=0;USD\\$

USD  {J**2}^3_1=0;USD\\$

USD  {J**2}^3_2=0;USD\\$

USD  {J**2}^3_3=-1;USD\\$

USD  {J**2}^3_4=0;USD\\$

USD  {J**2}^3_5=0;USD\\$

USD  {J**2}^3_6=0;USD\\$

USD  {J**2}^4_1=0;USD\\$

USD  {J**2}^4_2=0;USD\\$

USD  {J**2}^4_3=0;USD\\$

USD  {J**2}^4_4=-1;USD\\$

USD  {J**2}^4_5=0;USD\\$

USD  {J**2}^4_6=0;USD\\$

USD  {J**2}^5_1=0;USD\\$

USD  {J**2}^5_2=0;USD\\$

USD  {J**2}^5_3=0;USD\\$

USD  {J**2}^5_4=0;USD\\$

USD  {J**2}^5_5=-1;USD\\$

USD  {J**2}^5_6=0;USD\\$

USD  {J**2}^6_1=0;USD\\$

USD  {J**2}^6_2=0;USD\\$

USD  {J**2}^6_3=0;USD\\$

USD  {J**2}^6_4=0;USD\\$

USD  {J**2}^6_5=0;USD\\$

USD  {J**2}^6_6=-1;USD\\$

\\$ det J:=1$

Trace J:=0$

\par Now we'll use equivalence by automorphisms.$

All  automorphisms of$

USD {\mathcal{G}}_{6,m10}USD$

are  of the following  form  :$

\\ where USD AUTOMCOND1:=(b(1,2)**2 + b(1,1)**2 + b(2,1)**2)*b(1,1) - (b(2,2)*b(
1,1) - 2*b(2,1)*b(1,2))*b(2,2)USD$

\\ and USD AUTOMCOND2:=(b(1,2)**2 + b(1,1)**2 - b(2,1)**2)*b(1,2) + (b(2,2)*b(1,
2) + 2*b(2,1)*b(1,1))*b(2,2)USD$

must vanish.$

this is equivalent to :$

\\ USD b(2,2):= - b(1,1)*uUSD$

\\ USD b(1,2):=b(2,1)*uUSD$

\\ USD u**2:=1USD$

\\$

USDUSD \Phi = \begin{pmatrix}$

b(1,1)&$

b(2,1)*u&$

0&$

0&$

0&$

0\\$

b(2,1)&$

 - b(1,1)*u&$

0&$

0&$

0&$

0\\$

b(3,1)&$

b(3,2)&$

 - (b(2,1)**2 + b(1,1)**2)*u&$

0&$

0&$

0\\$

b(4,1)&$

b(4,2)&$

0&$

b(2,1)**2 + b(1,1)**2&$

0&$

0\\$

b(5,1)&$

b(5,2)&$

b(3,2)*b(1,1) - b(3,1)*b(2,1)*u + b(4,1)*b(1,1)*u + b(4,2)*b(2,1)&$

b(5,4)&$

 - (b(2,1)**2 + b(1,1)**2)*b(1,1)*u&$

(b(2,1)**2 + b(1,1)**2)*b(2,1)\\$

b(6,1)&$

b(6,2)&$

 - (b(3,2)*b(2,1) + b(3,1)*b(1,1)*u + b(4,1)*b(2,1)*u - b(4,2)*b(1,1))&$

b(6,4)&$

(b(2,1)**2 + b(1,1)**2)*b(2,1)*u&$

(b(2,1)**2 + b(1,1)**2)*b(1,1)\end{pmatrix}USDUSD$

\textit{Reduce} here checks that USD \Phi USD is indeed an automorphism:\\$

 USD \surd \Phi USD is  an automorphism$

\\ \starline \\ \4stars $

In  the special case of the canonical structure:$

\\ Then USD J2:=\Phi^{-1}*J*\Phi USD has entries :$

\\USD J2(1,1):=0USD\\$

\\USD J2(1,2):=uUSD\\$

\\USD J2(1,3):=0USD\\$

\\USD J2(1,4):=0USD\\$

\\USD J2(1,5):=0USD\\$

\\USD J2(1,6):=0USD\\$

\\USD J2(2,1):=( - 1)/uUSD\\$

\\USD J2(2,2):=0USD\\$

\\USD J2(2,3):=0USD\\$

\\USD J2(2,4):=0USD\\$

\\USD J2(2,5):=0USD\\$

\\USD J2(2,6):=0USD\\$

\\USD J2(3,1):= - (b(4,1) + b(3,2)*u)/(u*(b(2,1)**2 + b(1,1)**2))USD\\$

\\USD J2(3,2):=( - b(4,2) + b(3,1)*u)/(u*(b(2,1)**2 + b(1,1)**2))USD\\$

\\USD J2(3,3):=0USD\\$

\\USD J2(3,4):=( - 1)/uUSD\\$

\\USD J2(3,5):=0USD\\$

\\USD J2(3,6):=0USD\\$

\\USD J2(4,1):=(b(4,2) - b(3,1)*u)/(u*(b(2,1)**2 + b(1,1)**2))USD\\$

\\USD J2(4,2):= - (b(4,1)*u + b(3,2))/(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD J2(4,3):=uUSD\\$

\\USD J2(4,4):=0USD\\$

\\USD J2(4,5):=0USD\\$

\\USD J2(4,6):=0USD\\$

\\USD J2(5,1):=( - b(6,4)*b(4,2)*b(2,1)*u + b(6,4)*b(3,1)*b(2,1) + b(6,2)*b(2,1)
**3*u + b(6,2)*b(2,1)*b(1,1)**2*u - b(6,1)*b(2,1)**2*b(1,1) - b(6,1)*b(1,1)**3 +
 b(5,4)*b(4,2)*b(1,1)*u - b(5,4)*b(3,1)*b(1,1) - b(5,2)*b(2,1)**2*b(1,1)*u - b(5
,2)*b(1,1)**3*u - b(5,1)*b(2,1)**3 - b(5,1)*b(2,1)*b(1,1)**2 - b(4,1)**2*b(2,1)
**2 - b(4,1)**2*b(1,1)**2 - 2*b(4,1)*b(3,2)*b(2,1)**2*u - 2*b(4,1)*b(3,2)*b(1,1)
**2*u - b(3,2)**2*b(2,1)**2 - b(3,2)**2*b(1,1)**2)/(u*(b(2,1)**6 + 3*b(2,1)**4*b
(1,1)**2 + 3*b(2,1)**2*b(1,1)**4 + b(1,1)**6))USD\\$

\\USD J2(5,2):=(b(6,4)*b(4,1)*b(2,1)*u + b(6,4)*b(3,2)*b(2,1) - b(6,2)*b(2,1)**2
*b(1,1) - b(6,2)*b(1,1)**3 - b(6,1)*b(2,1)**3*u - b(6,1)*b(2,1)*b(1,1)**2*u - b(
5,4)*b(4,1)*b(1,1)*u - b(5,4)*b(3,2)*b(1,1) - b(5,2)*b(2,1)**3 - b(5,2)*b(2,1)*b
(1,1)**2 + b(5,1)*b(2,1)**2*b(1,1)*u + b(5,1)*b(1,1)**3*u - b(4,2)*b(4,1)*b(2,1)
**2 - b(4,2)*b(4,1)*b(1,1)**2 - b(4,2)*b(3,2)*b(2,1)**2*u - b(4,2)*b(3,2)*b(1,1)
**2*u + b(4,1)*b(3,1)*b(2,1)**2*u + b(4,1)*b(3,1)*b(1,1)**2*u + b(3,2)*b(3,1)*b(
2,1)**2 + b(3,2)*b(3,1)*b(1,1)**2)/(u*(b(2,1)**6 + 3*b(2,1)**4*b(1,1)**2 + 3*b(2
,1)**2*b(1,1)**4 + b(1,1)**6))USD\\$

\\USD J2(5,3):=( - b(6,4)*b(2,1)*u + b(5,4)*b(1,1)*u - b(4,2)*b(2,1)**2 - b(4,2)
*b(1,1)**2 + b(3,1)*b(2,1)**2*u + b(3,1)*b(1,1)**2*u)/(u*(b(2,1)**4 + 2*b(2,1)**
2*b(1,1)**2 + b(1,1)**4))USD\\$

\\USD J2(5,4):= - (b(6,4)*b(1,1) + b(5,4)*b(2,1) + b(4,1)*b(2,1)**2 + b(4,1)*b(1
,1)**2 + b(3,2)*b(2,1)**2*u + b(3,2)*b(1,1)**2*u)/(u*(b(2,1)**4 + 2*b(2,1)**2*b(
1,1)**2 + b(1,1)**4))USD\\$

\\USD J2(5,5):=0USD\\$

\\USD J2(5,6):=( - 1)/uUSD\\$

\\USD J2(6,1):=( - b(6,4)*b(4,2)*b(1,1) + b(6,4)*b(3,1)*b(1,1)*u + b(6,2)*b(2,1)
**2*b(1,1) + b(6,2)*b(1,1)**3 + b(6,1)*b(2,1)**3*u + b(6,1)*b(2,1)*b(1,1)**2*u -
 b(5,4)*b(4,2)*b(2,1) + b(5,4)*b(3,1)*b(2,1)*u + b(5,2)*b(2,1)**3 + b(5,2)*b(2,1
)*b(1,1)**2 - b(5,1)*b(2,1)**2*b(1,1)*u - b(5,1)*b(1,1)**3*u + b(4,2)*b(4,1)*b(2
,1)**2 + b(4,2)*b(4,1)*b(1,1)**2 + b(4,2)*b(3,2)*b(2,1)**2*u + b(4,2)*b(3,2)*b(1
,1)**2*u - b(4,1)*b(3,1)*b(2,1)**2*u - b(4,1)*b(3,1)*b(1,1)**2*u - b(3,2)*b(3,1)
*b(2,1)**2 - b(3,2)*b(3,1)*b(1,1)**2)/(u*(b(2,1)**6 + 3*b(2,1)**4*b(1,1)**2 + 3*
b(2,1)**2*b(1,1)**4 + b(1,1)**6))USD\\$

\\USD J2(6,2):=(b(6,4)*b(4,1)*b(1,1) + b(6,4)*b(3,2)*b(1,1)*u + b(6,2)*b(2,1)**3
*u + b(6,2)*b(2,1)*b(1,1)**2*u - b(6,1)*b(2,1)**2*b(1,1) - b(6,1)*b(1,1)**3 + b(
5,4)*b(4,1)*b(2,1) + b(5,4)*b(3,2)*b(2,1)*u - b(5,2)*b(2,1)**2*b(1,1)*u - b(5,2)
*b(1,1)**3*u - b(5,1)*b(2,1)**3 - b(5,1)*b(2,1)*b(1,1)**2 + b(4,2)**2*b(2,1)**2 
+ b(4,2)**2*b(1,1)**2 - 2*b(4,2)*b(3,1)*b(2,1)**2*u - 2*b(4,2)*b(3,1)*b(1,1)**2*
u + b(3,1)**2*b(2,1)**2 + b(3,1)**2*b(1,1)**2)/(u*(b(2,1)**6 + 3*b(2,1)**4*b(1,1
)**2 + 3*b(2,1)**2*b(1,1)**4 + b(1,1)**6))USD\\$

\\USD J2(6,3):= - (b(6,4)*b(1,1)*u + b(5,4)*b(2,1)*u + b(4,1)*b(2,1)**2*u + b(4,
1)*b(1,1)**2*u + b(3,2)*b(2,1)**2 + b(3,2)*b(1,1)**2)/(b(2,1)**4 + 2*b(2,1)**2*b
(1,1)**2 + b(1,1)**4)USD\\$

\\USD J2(6,4):=(b(6,4)*b(2,1)*u - b(5,4)*b(1,1)*u + b(4,2)*b(2,1)**2 + b(4,2)*b(
1,1)**2 - b(3,1)*b(2,1)**2*u - b(3,1)*b(1,1)**2*u)/(u*(b(2,1)**4 + 2*b(2,1)**2*b
(1,1)**2 + b(1,1)**4))USD\\$

\\USD J2(6,5):=uUSD\\$

\\USD J2(6,6):=0USD\\$

USD det \Phi:=u*( - b(2,1)**12 - 6*b(2,1)**10*b(1,1)**2 - 15*b(2,1)**8*b(1,1)**4
 - 20*b(2,1)**6*b(1,1)**6 - 15*b(2,1)**4*b(1,1)**8 - 6*b(2,1)**2*b(1,1)**10 - b(
1,1)**12)USD$

\\ Hence we get that the orbit of the canonical structure is 6-dimensional.$

\\ We return to the general case.$



clear! !U!S!Dxi(1,1),xi(2,1),xi(3,1),xi(4,1),xi(5,3),xi(6,1),xi(6,2),xi(6,3),xi(
3,\
3),xi(4,3)!U!S!D$

\\ Then USD J2:=\Phi^{-1}*J*\Phi USD has the following selected entries :$

\\ USD J2(1,1):=( - b(2,1)**2*xi(2,1)*xi(1,1) + b(2,1)*b(1,1)*xi(2,1)**2 - b(2,1
)*b(1,1)*xi(1,1)**2 - b(2,1)*b(1,1) + b(1,1)**2*xi(2,1)*xi(1,1))/(xi(2,1)*(b(2,1
)**2 + b(1,1)**2))USD$

\\ USD J2(3,3):=xi(3,3)USD$

\\ USD J2(4,3):= - xi(4,3)*uUSD$

 Observe first (cf ...) that USD J USD is equivalent to a structure having :$

  USD xi(1,1)=0 USD and USD 0< xi(2,1)\leqslant 1 USD$

\\ USD xi(1,1):=0USD$

\\ \4stars Take the following values :$

\\ USD u:=-1USD$

\\USD AUTOMCOND1:=0USD$

\\ USD AUTOMCOND2:=0USD$

\\$

USDUSD \Phi = \begin{pmatrix}$

1&$

0&$

0&$

0&$

0&$

0\\$

0&$

1&$

0&$

0&$

0&$

0\\$

0&$

xi(3,1)/xi(2,1)&$

1&$

0&$

0&$

0\\$

0&$

xi(4,1)/xi(2,1)&$

0&$

1&$

0&$

0\\$

b(5,1)&$

b(5,2)&$

xi(3,1)/xi(2,1)&$

b(5,4)&$

1&$

0\\$

b(6,1)&$

b(6,2)&$

xi(4,1)/xi(2,1)&$

b(6,4)&$

0&$

1\end{pmatrix}USDUSD$

\textit{Reduce} here checks that USD \Phi USD is indeed an automorphism:\\$

 USD \surd \Phi USD is  an automorphism$

\\USD \Phi^1_1:=1USD\\$

\\USD \Phi^1_2:=0USD\\$

\\USD \Phi^1_3:=0USD\\$

\\USD \Phi^1_4:=0USD\\$

\\USD \Phi^1_5:=0USD\\$

\\USD \Phi^1_6:=0USD\\$

\\USD \Phi^2_1:=0USD\\$

\\USD \Phi^2_2:=1USD\\$

\\USD \Phi^2_3:=0USD\\$

\\USD \Phi^2_4:=0USD\\$

\\USD \Phi^2_5:=0USD\\$

\\USD \Phi^2_6:=0USD\\$

\\USD \Phi^3_1:=0USD\\$

\\USD \Phi^3_2:=xi(3,1)/xi(2,1)USD\\$

\\USD \Phi^3_3:=1USD\\$

\\USD \Phi^3_4:=0USD\\$

\\USD \Phi^3_5:=0USD\\$

\\USD \Phi^3_6:=0USD\\$

\\USD \Phi^4_1:=0USD\\$

\\USD \Phi^4_2:=xi(4,1)/xi(2,1)USD\\$

\\USD \Phi^4_3:=0USD\\$

\\USD \Phi^4_4:=1USD\\$

\\USD \Phi^4_5:=0USD\\$

\\USD \Phi^4_6:=0USD\\$

\\USD \Phi^5_1:=b(5,1)USD\\$

\\USD \Phi^5_2:=b(5,2)USD\\$

\\USD \Phi^5_3:=xi(3,1)/xi(2,1)USD\\$

\\USD \Phi^5_4:=b(5,4)USD\\$

\\USD \Phi^5_5:=1USD\\$

\\USD \Phi^5_6:=0USD\\$

\\USD \Phi^6_1:=b(6,1)USD\\$

\\USD \Phi^6_2:=b(6,2)USD\\$

\\USD \Phi^6_3:=xi(4,1)/xi(2,1)USD\\$

\\USD \Phi^6_4:=b(6,4)USD\\$

\\USD \Phi^6_5:=0USD\\$

\\USD \Phi^6_6:=1USD\\$

\\$

USDUSD \Phi = \begin{pmatrix}$

1&$

0&$

0&$

0&$

0&$

0\\$

0&$

1&$

0&$

0&$

0&$

0\\$

0&$

xi(3,1)/xi(2,1)&$

1&$

0&$

0&$

0\\$

0&$

xi(4,1)/xi(2,1)&$

0&$

1&$

0&$

0\\$

b(5,1)&$

b(5,2)&$

xi(3,1)/xi(2,1)&$

b(5,4)&$

1&$

0\\$

b(6,1)&$

b(6,2)&$

xi(4,1)/xi(2,1)&$

b(6,4)&$

0&$

1\end{pmatrix}USDUSD$

USD det \Phi:=1USD$

\\ Then USD J2:=\Phi^{-1}*J*\Phi USD has entries :$

\\USD J2(1,1):=0USD\\$

\\USD J2(1,2):=( - 1)/xi(2,1)USD\\$

\\USD J2(1,3):=0USD\\$

\\USD J2(1,4):=0USD\\$

\\USD J2(1,5):=0USD\\$

\\USD J2(1,6):=0USD\\$

\\USD J2(2,1):=xi(2,1)USD\\$

\\USD J2(2,2):=0USD\\$

\\USD J2(2,3):=0USD\\$

\\USD J2(2,4):=0USD\\$

\\USD J2(2,5):=0USD\\$

\\USD J2(2,6):=0USD\\$

\\USD J2(3,1):=0USD\\$

\\USD J2(3,2):=0USD\\$

\\USD J2(3,3):=xi(3,3)USD\\$

\\USD J2(3,4):= - (xi(3,3)**2 + 1)/xi(4,3)USD\\$

\\USD J2(3,5):=0USD\\$

\\USD J2(3,6):=0USD\\$

\\USD J2(4,1):=0USD\\$

\\USD J2(4,2):=0USD\\$

\\USD J2(4,3):=xi(4,3)USD\\$

\\USD J2(4,4):= - xi(3,3)USD\\$

\\USD J2(4,5):=0USD\\$

\\USD J2(4,6):=0USD\\$

\\USD J2(5,1):=(b(6,1)*xi(4,3)**5*xi(2,1)**2 - 2*b(6,1)*xi(4,3)**4*xi(2,1)**3 - 
2*b(6,1)*xi(4,3)**4*xi(2,1) + b(6,1)*xi(4,3)**3*xi(3,3)**2*xi(2,1)**4 + b(6,1)*
xi(4,3)**3*xi(3,3)**2 + b(6,1)*xi(4,3)**3*xi(2,1)**4 + 4*b(6,1)*xi(4,3)**3*xi(2,
1)**2 + b(6,1)*xi(4,3)**3 - 2*b(6,1)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 - 2*b(6,1)
*xi(4,3)**2*xi(3,3)**2*xi(2,1) - 2*b(6,1)*xi(4,3)**2*xi(2,1)**3 - 2*b(6,1)*xi(4,
3)**2*xi(2,1) + b(6,1)*xi(4,3)*xi(3,3)**4*xi(2,1)**2 + 2*b(6,1)*xi(4,3)*xi(3,3)
**2*xi(2,1)**2 + b(6,1)*xi(4,3)*xi(2,1)**2 - b(5,2)*xi(4,3)**5*xi(2,1)**2 + 3*b(
5,2)*xi(4,3)**4*xi(2,1)**3 + b(5,2)*xi(4,3)**4*xi(2,1) - b(5,2)*xi(4,3)**3*xi(3,
3)**2*xi(2,1)**4 - b(5,2)*xi(4,3)**3*xi(3,3)**2*xi(2,1)**2 - 3*b(5,2)*xi(4,3)**3
*xi(2,1)**4 - 3*b(5,2)*xi(4,3)**3*xi(2,1)**2 + b(5,2)*xi(4,3)**2*xi(3,3)**2*xi(2
,1)**5 + 3*b(5,2)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + b(5,2)*xi(4,3)**2*xi(2,1)**
5 + 3*b(5,2)*xi(4,3)**2*xi(2,1)**3 - b(5,2)*xi(4,3)*xi(3,3)**4*xi(2,1)**4 - 2*b(
5,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**4 - b(5,2)*xi(4,3)*xi(2,1)**4 + b(5,1)*xi(4,3)
**4*xi(3,3)*xi(2,1)**2 - b(5,1)*xi(4,3)**4*xi(3,3) - 2*b(5,1)*xi(4,3)**3*xi(3,3)
*xi(2,1)**3 + 2*b(5,1)*xi(4,3)**3*xi(3,3)*xi(2,1) + b(5,1)*xi(4,3)**2*xi(3,3)**3
*xi(2,1)**4 - b(5,1)*xi(4,3)**2*xi(3,3)**3*xi(2,1)**2 + b(5,1)*xi(4,3)**2*xi(3,3
)*xi(2,1)**4 - b(5,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**2 + xi(6,3)*xi(4,3)**5*xi(3,1)
*xi(2,1)**2 - xi(6,3)*xi(4,3)**4*xi(4,1)*xi(3,3)*xi(2,1)**2 - 2*xi(6,3)*xi(4,3)
**4*xi(3,1)*xi(2,1)**3 - 2*xi(6,3)*xi(4,3)**4*xi(3,1)*xi(2,1) + 3*xi(6,3)*xi(4,3
)**3*xi(4,1)*xi(3,3)*xi(2,1)**3 + xi(6,3)*xi(4,3)**3*xi(4,1)*xi(3,3)*xi(2,1) + 2
*xi(6,3)*xi(4,3)**3*xi(3,3)**2*xi(3,1)*xi(2,1)**2 + xi(6,3)*xi(4,3)**3*xi(3,1)*
xi(2,1)**4 + 4*xi(6,3)*xi(4,3)**3*xi(3,1)*xi(2,1)**2 + xi(6,3)*xi(4,3)**3*xi(3,1
) - 2*xi(6,3)*xi(4,3)**2*xi(4,1)*xi(3,3)**3*xi(2,1)**2 - 2*xi(6,3)*xi(4,3)**2*xi
(4,1)*xi(3,3)*xi(2,1)**4 - 4*xi(6,3)*xi(4,3)**2*xi(4,1)*xi(3,3)*xi(2,1)**2 - 2*
xi(6,3)*xi(4,3)**2*xi(3,3)**2*xi(3,1)*xi(2,1)**3 - 2*xi(6,3)*xi(4,3)**2*xi(3,3)
**2*xi(3,1)*xi(2,1) - 2*xi(6,3)*xi(4,3)**2*xi(3,1)*xi(2,1)**3 - 2*xi(6,3)*xi(4,3
)**2*xi(3,1)*xi(2,1) + 3*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**3*xi(2,1)**3 + xi(6,3)
*xi(4,3)*xi(4,1)*xi(3,3)**3*xi(2,1) + 3*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)
**3 + xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1) + xi(6,3)*xi(4,3)*xi(3,3)**4*xi(3,
1)*xi(2,1)**2 + 2*xi(6,3)*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(2,1)**2 + xi(6,3)*xi(4,3
)*xi(3,1)*xi(2,1)**2 - xi(6,3)*xi(4,1)*xi(3,3)**5*xi(2,1)**2 - 2*xi(6,3)*xi(4,1)
*xi(3,3)**3*xi(2,1)**2 - xi(6,3)*xi(4,1)*xi(3,3)*xi(2,1)**2 + xi(6,2)*xi(4,3)**5
*xi(2,1)**3 - 2*xi(6,2)*xi(4,3)**4*xi(2,1)**4 - 2*xi(6,2)*xi(4,3)**4*xi(2,1)**2 
+ 2*xi(6,2)*xi(4,3)**3*xi(3,3)**2*xi(2,1)**3 + xi(6,2)*xi(4,3)**3*xi(2,1)**5 + 4
*xi(6,2)*xi(4,3)**3*xi(2,1)**3 + xi(6,2)*xi(4,3)**3*xi(2,1) - 2*xi(6,2)*xi(4,3)
**2*xi(3,3)**2*xi(2,1)**4 - 2*xi(6,2)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - 2*xi(6,
2)*xi(4,3)**2*xi(2,1)**4 - 2*xi(6,2)*xi(4,3)**2*xi(2,1)**2 + xi(6,2)*xi(4,3)*xi(
3,3)**4*xi(2,1)**3 + 2*xi(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + xi(6,2)*xi(4,3)*
xi(2,1)**3 - xi(6,1)*xi(4,3)**4*xi(3,3)*xi(2,1)**3 + xi(6,1)*xi(4,3)**4*xi(3,3)*
xi(2,1) + xi(6,1)*xi(4,3)**3*xi(3,3)*xi(2,1)**4 - xi(6,1)*xi(4,3)**3*xi(3,3) - 
xi(6,1)*xi(4,3)**2*xi(3,3)**3*xi(2,1)**3 + xi(6,1)*xi(4,3)**2*xi(3,3)**3*xi(2,1)
 - xi(6,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + xi(6,1)*xi(4,3)**2*xi(3,3)*xi(2,1) + 
xi(5,3)*xi(4,3)**4*xi(4,1)*xi(2,1) - 3*xi(5,3)*xi(4,3)**3*xi(4,1)*xi(2,1)**2 - 
xi(5,3)*xi(4,3)**3*xi(4,1) + xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3)**2*xi(2,1)**3 + 
xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3)**2*xi(2,1) + 3*xi(5,3)*xi(4,3)**2*xi(4,1)*xi(
2,1)**3 + 3*xi(5,3)*xi(4,3)**2*xi(4,1)*xi(2,1) - xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)
**2*xi(2,1)**4 - 3*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2 - xi(5,3)*xi(4,
3)*xi(4,1)*xi(2,1)**4 - 3*xi(5,3)*xi(4,3)*xi(4,1)*xi(2,1)**2 + xi(5,3)*xi(4,1)*
xi(3,3)**4*xi(2,1)**3 + 2*xi(5,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**3 + xi(5,3)*xi(4,1
)*xi(2,1)**3)/(xi(4,3)*(xi(4,3)**4*xi(2,1) - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**
3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1) + 3*xi(4,3)
**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - 3*xi(4,3
)*xi(3,3)**2*xi(2,1)**2 - xi(4,3)*xi(2,1)**4 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4
*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(2,1)**3))USD\\$

\\USD J2(5,2):=(b(6,2)*xi(4,3)**4*xi(2,1)**3 - 2*b(6,2)*xi(4,3)**3*xi(2,1)**4 - 
2*b(6,2)*xi(4,3)**3*xi(2,1)**2 + b(6,2)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**5 + b(6,2
)*xi(4,3)**2*xi(3,3)**2*xi(2,1) + b(6,2)*xi(4,3)**2*xi(2,1)**5 + 4*b(6,2)*xi(4,3
)**2*xi(2,1)**3 + b(6,2)*xi(4,3)**2*xi(2,1) - 2*b(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1
)**4 - 2*b(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - 2*b(6,2)*xi(4,3)*xi(2,1)**4 - 2*
b(6,2)*xi(4,3)*xi(2,1)**2 + b(6,2)*xi(3,3)**4*xi(2,1)**3 + 2*b(6,2)*xi(3,3)**2*
xi(2,1)**3 + b(6,2)*xi(2,1)**3 + b(5,2)*xi(4,3)**3*xi(3,3)*xi(2,1)**3 - b(5,2)*
xi(4,3)**3*xi(3,3)*xi(2,1) - 2*b(5,2)*xi(4,3)**2*xi(3,3)*xi(2,1)**4 + 2*b(5,2)*
xi(4,3)**2*xi(3,3)*xi(2,1)**2 + b(5,2)*xi(4,3)*xi(3,3)**3*xi(2,1)**5 - b(5,2)*xi
(4,3)*xi(3,3)**3*xi(2,1)**3 + b(5,2)*xi(4,3)*xi(3,3)*xi(2,1)**5 - b(5,2)*xi(4,3)
*xi(3,3)*xi(2,1)**3 + b(5,1)*xi(4,3)**4*xi(2,1) - 3*b(5,1)*xi(4,3)**3*xi(2,1)**2
 - b(5,1)*xi(4,3)**3 + b(5,1)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + b(5,1)*xi(4,3)
**2*xi(3,3)**2*xi(2,1) + 3*b(5,1)*xi(4,3)**2*xi(2,1)**3 + 3*b(5,1)*xi(4,3)**2*xi
(2,1) - b(5,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**4 - 3*b(5,1)*xi(4,3)*xi(3,3)**2*xi(2,
1)**2 - b(5,1)*xi(4,3)*xi(2,1)**4 - 3*b(5,1)*xi(4,3)*xi(2,1)**2 + b(5,1)*xi(3,3)
**4*xi(2,1)**3 + 2*b(5,1)*xi(3,3)**2*xi(2,1)**3 + b(5,1)*xi(2,1)**3 - xi(6,3)*xi
(4,3)**3*xi(3,3)*xi(3,1)*xi(2,1)**3 + xi(6,3)*xi(4,3)**3*xi(3,3)*xi(3,1)*xi(2,1)
 + xi(6,3)*xi(4,3)**2*xi(4,1)*xi(3,3)**2*xi(2,1)**3 - xi(6,3)*xi(4,3)**2*xi(4,1)
*xi(3,3)**2*xi(2,1) + xi(6,3)*xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1)**4 - xi(6,3)*xi
(4,3)**2*xi(3,3)*xi(3,1) - 2*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**4 + 2*
xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)**2*xi(2,1)**2 - xi(6,3)*xi(4,3)*xi(3,3)**3*xi(3,
1)*xi(2,1)**3 + xi(6,3)*xi(4,3)*xi(3,3)**3*xi(3,1)*xi(2,1) - xi(6,3)*xi(4,3)*xi(
3,3)*xi(3,1)*xi(2,1)**3 + xi(6,3)*xi(4,3)*xi(3,3)*xi(3,1)*xi(2,1) + xi(6,3)*xi(4
,1)*xi(3,3)**4*xi(2,1)**3 - xi(6,3)*xi(4,1)*xi(3,3)**4*xi(2,1) + xi(6,3)*xi(4,1)
*xi(3,3)**2*xi(2,1)**3 - xi(6,3)*xi(4,1)*xi(3,3)**2*xi(2,1) - xi(6,2)*xi(4,3)**3
*xi(3,3)*xi(2,1)**4 + xi(6,2)*xi(4,3)**3*xi(3,3)*xi(2,1)**2 + xi(6,2)*xi(4,3)**2
*xi(3,3)*xi(2,1)**5 - xi(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1) - xi(6,2)*xi(4,3)*xi(3,
3)**3*xi(2,1)**4 + xi(6,2)*xi(4,3)*xi(3,3)**3*xi(2,1)**2 - xi(6,2)*xi(4,3)*xi(3,
3)*xi(2,1)**4 + xi(6,2)*xi(4,3)*xi(3,3)*xi(2,1)**2 - xi(6,1)*xi(4,3)**4*xi(2,1)
**2 + 2*xi(6,1)*xi(4,3)**3*xi(2,1)**3 + 2*xi(6,1)*xi(4,3)**3*xi(2,1) - 2*xi(6,1)
*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - xi(6,1)*xi(4,3)**2*xi(2,1)**4 - 4*xi(6,1)*xi
(4,3)**2*xi(2,1)**2 - xi(6,1)*xi(4,3)**2 + 2*xi(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1)
**3 + 2*xi(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1) + 2*xi(6,1)*xi(4,3)*xi(2,1)**3 + 2*xi
(6,1)*xi(4,3)*xi(2,1) - xi(6,1)*xi(3,3)**4*xi(2,1)**2 - 2*xi(6,1)*xi(3,3)**2*xi(
2,1)**2 - xi(6,1)*xi(2,1)**2 - xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3)*xi(2,1)**2 + 
xi(5,3)*xi(4,3)**2*xi(4,1)*xi(3,3) + 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)**
3 - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1) - xi(5,3)*xi(4,1)*xi(3,3)**3*xi(2,
1)**4 + xi(5,3)*xi(4,1)*xi(3,3)**3*xi(2,1)**2 - xi(5,3)*xi(4,1)*xi(3,3)*xi(2,1)
**4 + xi(5,3)*xi(4,1)*xi(3,3)*xi(2,1)**2)/(xi(2,1)*(xi(4,3)**4*xi(2,1) - 3*xi(4,
3)**3*xi(2,1)**2 - xi(4,3)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi
(3,3)**2*xi(2,1) + 3*xi(4,3)**2*xi(2,1)**3 + 3*xi(4,3)**2*xi(2,1) - xi(4,3)*xi(3
,3)**2*xi(2,1)**4 - 3*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - xi(4,3)*xi(2,1)**4 - 3*xi(
4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 + 2*xi(3,3)**2*xi(2,1)**3 + xi(2,1)**3))
USD\\$

\\USD J2(5,3):=( - b(5,4)*xi(4,3)**3*xi(2,1)**2 + b(5,4)*xi(4,3)**2*xi(2,1)**3 +
 b(5,4)*xi(4,3)**2*xi(2,1) - b(5,4)*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - b(5,4)*xi(4,
3)*xi(2,1)**2 + xi(5,3)*xi(4,3)**2*xi(2,1)**2 - xi(5,3)*xi(4,3)*xi(2,1)**3 - xi(
5,3)*xi(4,3)*xi(2,1) + xi(5,3)*xi(3,3)**2*xi(2,1)**2 + xi(5,3)*xi(2,1)**2 + xi(4
,3)**2*xi(4,1)*xi(2,1)**2 - xi(4,3)**2*xi(3,3)*xi(3,1)*xi(2,1) - 2*xi(4,3)*xi(4,
1)*xi(2,1) + 2*xi(4,3)*xi(3,3)*xi(3,1)*xi(2,1)**2 + xi(4,1)*xi(3,3)**2 + xi(4,1)
 - xi(3,3)**3*xi(3,1)*xi(2,1) - xi(3,3)*xi(3,1)*xi(2,1))/(xi(2,1)*(xi(4,3)**2*xi
(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)))USD\\$

\\USD J2(5,4):=(b(6,4)*xi(4,3)**5*xi(2,1)**3 - 2*b(6,4)*xi(4,3)**4*xi(2,1)**4 - 
2*b(6,4)*xi(4,3)**4*xi(2,1)**2 + b(6,4)*xi(4,3)**3*xi(3,3)**2*xi(2,1)**5 + b(6,4
)*xi(4,3)**3*xi(3,3)**2*xi(2,1) + b(6,4)*xi(4,3)**3*xi(2,1)**5 + 4*b(6,4)*xi(4,3
)**3*xi(2,1)**3 + b(6,4)*xi(4,3)**3*xi(2,1) - 2*b(6,4)*xi(4,3)**2*xi(3,3)**2*xi(
2,1)**4 - 2*b(6,4)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - 2*b(6,4)*xi(4,3)**2*xi(2,1
)**4 - 2*b(6,4)*xi(4,3)**2*xi(2,1)**2 + b(6,4)*xi(4,3)*xi(3,3)**4*xi(2,1)**3 + 2
*b(6,4)*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(6,4)*xi(4,3)*xi(2,1)**3 + b(5,4)*xi(4,
3)**5*xi(3,3)*xi(2,1)**2 - 2*b(5,4)*xi(4,3)**4*xi(3,3)*xi(2,1)**3 - 2*b(5,4)*xi(
4,3)**4*xi(3,3)*xi(2,1) + b(5,4)*xi(4,3)**3*xi(3,3)**3*xi(2,1)**4 + b(5,4)*xi(4,
3)**3*xi(3,3)**3*xi(2,1)**2 + b(5,4)*xi(4,3)**3*xi(3,3)*xi(2,1)**4 + 5*b(5,4)*xi
(4,3)**3*xi(3,3)*xi(2,1)**2 - 4*b(5,4)*xi(4,3)**2*xi(3,3)**3*xi(2,1)**3 - 4*b(5,
4)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,4)*xi(4,3)*xi(3,3)**5*xi(2,1)**4 + 2*b(5,
4)*xi(4,3)*xi(3,3)**3*xi(2,1)**4 + b(5,4)*xi(4,3)*xi(3,3)*xi(2,1)**4 - xi(6,3)*
xi(4,3)**4*xi(2,1)**3 + 2*xi(6,3)*xi(4,3)**3*xi(2,1)**4 + 2*xi(6,3)*xi(4,3)**3*
xi(2,1)**2 - xi(6,3)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**5 - xi(6,3)*xi(4,3)**2*xi(3,
3)**2*xi(2,1) - xi(6,3)*xi(4,3)**2*xi(2,1)**5 - 4*xi(6,3)*xi(4,3)**2*xi(2,1)**3 
- xi(6,3)*xi(4,3)**2*xi(2,1) + 2*xi(6,3)*xi(4,3)*xi(3,3)**2*xi(2,1)**4 + 2*xi(6,
3)*xi(4,3)*xi(3,3)**2*xi(2,1)**2 + 2*xi(6,3)*xi(4,3)*xi(2,1)**4 + 2*xi(6,3)*xi(4
,3)*xi(2,1)**2 - xi(6,3)*xi(3,3)**4*xi(2,1)**3 - 2*xi(6,3)*xi(3,3)**2*xi(2,1)**3
 - xi(6,3)*xi(2,1)**3 - xi(5,3)*xi(4,3)**4*xi(3,3)*xi(2,1)**2 + 2*xi(5,3)*xi(4,3
)**3*xi(3,3)*xi(2,1)**3 + 2*xi(5,3)*xi(4,3)**3*xi(3,3)*xi(2,1) - xi(5,3)*xi(4,3)
**2*xi(3,3)**3*xi(2,1)**4 - xi(5,3)*xi(4,3)**2*xi(3,3)**3*xi(2,1)**2 - xi(5,3)*
xi(4,3)**2*xi(3,3)*xi(2,1)**4 - 5*xi(5,3)*xi(4,3)**2*xi(3,3)*xi(2,1)**2 + 4*xi(5
,3)*xi(4,3)*xi(3,3)**3*xi(2,1)**3 + 4*xi(5,3)*xi(4,3)*xi(3,3)*xi(2,1)**3 - xi(5,
3)*xi(3,3)**5*xi(2,1)**4 - 2*xi(5,3)*xi(3,3)**3*xi(2,1)**4 - xi(5,3)*xi(3,3)*xi(
2,1)**4 + xi(4,3)**4*xi(3,3)**2*xi(3,1)*xi(2,1) + xi(4,3)**4*xi(3,1)*xi(2,1) - 3
*xi(4,3)**3*xi(3,3)**2*xi(3,1)*xi(2,1)**2 - xi(4,3)**3*xi(3,3)**2*xi(3,1) - 3*xi
(4,3)**3*xi(3,1)*xi(2,1)**2 - xi(4,3)**3*xi(3,1) + xi(4,3)**2*xi(3,3)**4*xi(3,1)
*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**4*xi(3,1)*xi(2,1) + 4*xi(4,3)**2*xi(3,3)**2*xi
(3,1)*xi(2,1)**3 + 4*xi(4,3)**2*xi(3,3)**2*xi(3,1)*xi(2,1) + 3*xi(4,3)**2*xi(3,1
)*xi(2,1)**3 + 3*xi(4,3)**2*xi(3,1)*xi(2,1) - xi(4,3)*xi(3,3)**4*xi(3,1)*xi(2,1)
**4 - 3*xi(4,3)*xi(3,3)**4*xi(3,1)*xi(2,1)**2 - 2*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(
2,1)**4 - 6*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(2,1)**2 - xi(4,3)*xi(3,1)*xi(2,1)**4 -
 3*xi(4,3)*xi(3,1)*xi(2,1)**2 + xi(3,3)**6*xi(3,1)*xi(2,1)**3 + 3*xi(3,3)**4*xi(
3,1)*xi(2,1)**3 + 3*xi(3,3)**2*xi(3,1)*xi(2,1)**3 + xi(3,1)*xi(2,1)**3)/(xi(4,3)
*xi(2,1)*(xi(4,3)**4*xi(2,1) - 3*xi(4,3)**3*xi(2,1)**2 - xi(4,3)**3 + xi(4,3)**2
*xi(3,3)**2*xi(2,1)**3 + xi(4,3)**2*xi(3,3)**2*xi(2,1) + 3*xi(4,3)**2*xi(2,1)**3
 + 3*xi(4,3)**2*xi(2,1) - xi(4,3)*xi(3,3)**2*xi(2,1)**4 - 3*xi(4,3)*xi(3,3)**2*
xi(2,1)**2 - xi(4,3)*xi(2,1)**4 - 3*xi(4,3)*xi(2,1)**2 + xi(3,3)**4*xi(2,1)**3 +
 2*xi(3,3)**2*xi(2,1)**3 + xi(2,1)**3))USD\\$

\\USD J2(5,5):=(xi(4,3)*xi(3,3)*(xi(2,1)**2 - 1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*
xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))USD\\$

\\USD J2(5,6):=(xi(4,3)**2*xi(2,1)**2 - 2*xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)/(xi(
4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))
USD\\$

\\USD J2(6,1):=( - b(6,2)*xi(4,3)**2*xi(2,1)**2 + b(6,2)*xi(4,3)*xi(2,1)**3 + b(
6,2)*xi(4,3)*xi(2,1) - b(6,2)*xi(3,3)**2*xi(2,1)**2 - b(6,2)*xi(2,1)**2 - b(6,1)
*xi(4,3)*xi(3,3)*xi(2,1)**2 + b(6,1)*xi(4,3)*xi(3,3) - b(5,1)*xi(4,3)**2 + 2*b(5
,1)*xi(4,3)*xi(2,1) - b(5,1)*xi(3,3)**2*xi(2,1)**2 - b(5,1)*xi(2,1)**2 + xi(6,1)
*xi(4,3)**2*xi(2,1) - xi(6,1)*xi(4,3)*xi(2,1)**2 - xi(6,1)*xi(4,3) + xi(6,1)*xi(
3,3)**2*xi(2,1) + xi(6,1)*xi(2,1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi
(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))USD\\$

\\USD J2(6,2):=( - b(6,2)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(6,2)*xi(4,3)**2*xi(3
,3)*xi(2,1) + b(6,1)*xi(4,3)**3*xi(2,1) - b(6,1)*xi(4,3)**2*xi(2,1)**2 - b(6,1)*
xi(4,3)**2 + b(6,1)*xi(4,3)*xi(3,3)**2*xi(2,1) + b(6,1)*xi(4,3)*xi(2,1) - b(5,2)
*xi(4,3)**3*xi(2,1) + 2*b(5,2)*xi(4,3)**2*xi(2,1)**2 - b(5,2)*xi(4,3)*xi(3,3)**2
*xi(2,1)**3 - b(5,2)*xi(4,3)*xi(2,1)**3 + xi(6,3)*xi(4,3)**3*xi(3,1)*xi(2,1) - 
xi(6,3)*xi(4,3)**2*xi(4,1)*xi(3,3)*xi(2,1) - xi(6,3)*xi(4,3)**2*xi(3,1)*xi(2,1)
**2 - xi(6,3)*xi(4,3)**2*xi(3,1) + 2*xi(6,3)*xi(4,3)*xi(4,1)*xi(3,3)*xi(2,1)**2 
+ xi(6,3)*xi(4,3)*xi(3,3)**2*xi(3,1)*xi(2,1) + xi(6,3)*xi(4,3)*xi(3,1)*xi(2,1) -
 xi(6,3)*xi(4,1)*xi(3,3)**3*xi(2,1) - xi(6,3)*xi(4,1)*xi(3,3)*xi(2,1) + xi(6,2)*
xi(4,3)**3*xi(2,1)**2 - xi(6,2)*xi(4,3)**2*xi(2,1)**3 - xi(6,2)*xi(4,3)**2*xi(2,
1) + xi(6,2)*xi(4,3)*xi(3,3)**2*xi(2,1)**2 + xi(6,2)*xi(4,3)*xi(2,1)**2 + xi(5,3
)*xi(4,3)**2*xi(4,1) - 2*xi(5,3)*xi(4,3)*xi(4,1)*xi(2,1) + xi(5,3)*xi(4,1)*xi(3,
3)**2*xi(2,1)**2 + xi(5,3)*xi(4,1)*xi(2,1)**2)/(xi(4,3)*xi(2,1)*(xi(4,3)**2*xi(2
,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)))USD\\$

\\USD J2(6,3):=( - b(6,4)*xi(4,3)**3*xi(2,1)**2 + b(6,4)*xi(4,3)**2*xi(2,1)**3 +
 b(6,4)*xi(4,3)**2*xi(2,1) - b(6,4)*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - b(6,4)*xi(4,
3)*xi(2,1)**2 + xi(6,3)*xi(4,3)**2*xi(2,1)**2 - xi(6,3)*xi(4,3)*xi(2,1)**3 - xi(
6,3)*xi(4,3)*xi(2,1) + xi(6,3)*xi(3,3)**2*xi(2,1)**2 + xi(6,3)*xi(2,1)**2 - xi(4
,3)**2*xi(4,1)*xi(3,3)*xi(2,1) - xi(4,3)**2*xi(3,1) + 2*xi(4,3)*xi(4,1)*xi(3,3) 
+ 2*xi(4,3)*xi(3,1)*xi(2,1) - xi(4,1)*xi(3,3)**3*xi(2,1) - xi(4,1)*xi(3,3)*xi(2,
1) - xi(3,3)**2*xi(3,1)*xi(2,1)**2 - xi(3,1)*xi(2,1)**2)/(xi(2,1)*(xi(4,3)**2*xi
(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)))USD\\$

\\USD J2(6,4):=(b(6,4)*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - 2*b(6,4)*xi(4,3)**2*xi(3,
3)*xi(2,1)**3 + b(6,4)*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + b(6,4)*xi(4,3)*xi(3,3)*xi
(2,1)**2 - b(5,4)*xi(4,3)**3*xi(2,1) + 2*b(5,4)*xi(4,3)**2*xi(2,1)**2 - b(5,4)*
xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(5,4)*xi(4,3)*xi(2,1)**3 - xi(6,3)*xi(4,3)**2*
xi(3,3)*xi(2,1)**2 + 2*xi(6,3)*xi(4,3)*xi(3,3)*xi(2,1)**3 - xi(6,3)*xi(3,3)**3*
xi(2,1)**2 - xi(6,3)*xi(3,3)*xi(2,1)**2 + xi(5,3)*xi(4,3)**2*xi(2,1) - 2*xi(5,3)
*xi(4,3)*xi(2,1)**2 + xi(5,3)*xi(3,3)**2*xi(2,1)**3 + xi(5,3)*xi(2,1)**3 + xi(4,
3)**2*xi(4,1)*xi(3,3)**2*xi(2,1) + xi(4,3)**2*xi(4,1)*xi(2,1) - xi(4,3)*xi(4,1)*
xi(3,3)**2*xi(2,1)**2 - xi(4,3)*xi(4,1)*xi(3,3)**2 - xi(4,3)*xi(4,1)*xi(2,1)**2 
- xi(4,3)*xi(4,1) + xi(4,1)*xi(3,3)**4*xi(2,1) + 2*xi(4,1)*xi(3,3)**2*xi(2,1) + 
xi(4,1)*xi(2,1))/(xi(4,3)*xi(2,1)*(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(
4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)))USD\\$

\\USD J2(6,5):=( - xi(4,3)**2 + 2*xi(4,3)*xi(2,1) - xi(3,3)**2*xi(2,1)**2 - xi(2
,1)**2)/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) 
+ xi(2,1))USD\\$

\\USD J2(6,6):=(xi(4,3)*xi(3,3)*( - xi(2,1)**2 + 1))/(xi(4,3)**2*xi(2,1) - xi(4,
3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))USD\\$

USD det \Phi:=1USD$

\\ \4stars Hence, we are led to the case where$

\\ USD xi(3,1):=0USD$

\\ USD xi(4,1):=0USD$

clear USD u, b(1,1),b(2,1),b(3,1),b(3,2),b(4,1),b(4,2) USD$

\\USD \Phi^1_1:=b(1,1)USD\\$

\\USD \Phi^1_2:=b(2,1)*uUSD\\$

\\USD \Phi^1_3:=0USD\\$

\\USD \Phi^1_4:=0USD\\$

\\USD \Phi^1_5:=0USD\\$

\\USD \Phi^1_6:=0USD\\$

\\USD \Phi^2_1:=b(2,1)USD\\$

\\USD \Phi^2_2:= - b(1,1)*uUSD\\$

\\USD \Phi^2_3:=0USD\\$

\\USD \Phi^2_4:=0USD\\$

\\USD \Phi^2_5:=0USD\\$

\\USD \Phi^2_6:=0USD\\$

\\USD \Phi^3_1:=b(3,1)USD\\$

\\USD \Phi^3_2:=b(3,2)USD\\$

\\USD \Phi^3_3:= - u*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^3_4:=0USD\\$

\\USD \Phi^3_5:=0USD\\$

\\USD \Phi^3_6:=0USD\\$

\\USD \Phi^4_1:=b(4,1)USD\\$

\\USD \Phi^4_2:=b(4,2)USD\\$

\\USD \Phi^4_3:=0USD\\$

\\USD \Phi^4_4:=b(2,1)**2 + b(1,1)**2USD\\$

\\USD \Phi^4_5:=0USD\\$

\\USD \Phi^4_6:=0USD\\$

\\USD \Phi^5_1:=b(5,1)USD\\$

\\USD \Phi^5_2:=b(5,2)USD\\$

\\USD \Phi^5_3:=b(4,2)*b(2,1) + b(4,1)*b(1,1)*u + b(3,2)*b(1,1) - b(3,1)*b(2,1)*
uUSD\\$

\\USD \Phi^5_4:=b(5,4)USD\\$

\\USD \Phi^5_5:= - b(1,1)*u*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^5_6:=b(2,1)*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^6_1:=b(6,1)USD\\$

\\USD \Phi^6_2:=b(6,2)USD\\$

\\USD \Phi^6_3:=b(4,2)*b(1,1) - b(4,1)*b(2,1)*u - b(3,2)*b(2,1) - b(3,1)*b(1,1)*
uUSD\\$

\\USD \Phi^6_4:=b(6,4)USD\\$

\\USD \Phi^6_5:=b(2,1)*u*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^6_6:=b(1,1)*(b(2,1)**2 + b(1,1)**2)USD\\$

USD  J^1_1=0;USD\\$

USD  J^1_2=( - 1)/xi(2,1);USD\\$

USD  J^1_3=0;USD\\$

USD  J^1_4=0;USD\\$

USD  J^1_5=0;USD\\$

USD  J^1_6=0;USD\\$

USD  J^2_1=xi(2,1);USD\\$

USD  J^2_2=0;USD\\$

USD  J^2_3=0;USD\\$

USD  J^2_4=0;USD\\$

USD  J^2_5=0;USD\\$

USD  J^2_6=0;USD\\$

USD  J^3_1=0;USD\\$

USD  J^3_2=0;USD\\$

USD  J^3_3=xi(3,3);USD\\$

USD  J^3_4=( - (xi(3,3)**2 + 1))/xi(4,3);USD\\$

USD  J^3_5=0;USD\\$

USD  J^3_6=0;USD\\$

USD  J^4_1=0;USD\\$

USD  J^4_2=0;USD\\$

USD  J^4_3=xi(4,3);USD\\$

USD  J^4_4= - xi(3,3);USD\\$

USD  J^4_5=0;USD\\$

USD  J^4_6=0;USD\\$

USD  J^5_1=(((xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(6,2)*xi(2,1) - (xi(2,1) + 1)*
(xi(2,1) - 1)*xi(6,1)*xi(3,3))*xi(4,3) + (xi(3,3)**2 + 1)*xi(6,2)*xi(2,1)**2)/((
xi(4,3) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2);USD\\$

USD  J^5_2=( - (((xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*
xi(2,1))*xi(6,1) + (xi(2,1) + 1)*(xi(2,1) - 1)*xi(6,2)*xi(4,3)*xi(3,3)*xi(2,1)))
/(((xi(4,3) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)*xi(2,1));USD\\$

USD  J^5_3=xi(5,3);USD\\$

USD  J^5_4=( - ((xi(4,3)**2*xi(2,1)**2 - 2*xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)*xi(
6,3) + (xi(4,3)**2*xi(2,1) - 2*xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))*xi(5,3)*
xi(3,3)))/((xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,
1) + xi(2,1))*xi(4,3));USD\\$

USD  J^5_5=((xi(2,1) + 1)*(xi(2,1) - 1)*xi(4,3)*xi(3,3))/((xi(4,3)*xi(2,1) - xi(
2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^5_6=((xi(4,3)*xi(2,1) - 2)*xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)/((xi(4,3)*xi
(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_1=xi(6,1);USD\\$

USD  J^6_2=xi(6,2);USD\\$

USD  J^6_3=xi(6,3);USD\\$

USD  J^6_4=(((xi(4,3) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)*xi(5,3
) - ((xi(4,3) - 2*xi(2,1))*xi(4,3) + xi(3,3)**2 + 1)*xi(6,3)*xi(3,3)*xi(2,1))/((
xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)
)*xi(4,3));USD\\$

USD  J^6_5= - ((xi(4,3) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)/((xi
(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_6= - ((xi(2,1) + 1)*(xi(2,1) - 1)*xi(4,3)*xi(3,3))/((xi(4,3)*xi(2,1) - 
xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

\\ \4stars Take the following values :$

\\ USD u:=-1USD$

\\ USD b(5,4):=xi(5,3)/xi(4,3)USD$

\\ USD b(5,1):= - ((xi(3,3)**2 + 1)*b(6,2)*xi(2,1)**2 + (xi(2,1) + 1)*(xi(2,1) -
 1)*b(6,1)*xi(4,3)*xi(3,3) + (xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*b(6,2)*xi(4,3)*
xi(2,1) - ((xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)
)*xi(6,1))/((xi(4,3) - xi(2,1))**2 + xi(3,3)**2*xi(2,1)**2)USD$

\\ USD b(5,2):=(((xi(3,3)**2 + 1)*b(6,1) + (xi(3,3)**2 + 1)*xi(6,2)*xi(2,1) - (
xi(2,1) + 1)*(xi(2,1) - 1)*b(6,2)*xi(4,3)*xi(3,3))*xi(2,1) + (b(6,1) + xi(6,2)*
xi(2,1))*(xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3))/(((xi(4,3) - xi(2,1))**2 + 
xi(3,3)**2*xi(2,1)**2)*xi(2,1))USD$

\\ USD b(6,4):=xi(6,3)/xi(4,3)USD$

\\USD \Phi^1_1:=1USD\\$

\\USD \Phi^1_2:=0USD\\$

\\USD \Phi^1_3:=0USD\\$

\\USD \Phi^1_4:=0USD\\$

\\USD \Phi^1_5:=0USD\\$

\\USD \Phi^1_6:=0USD\\$

\\USD \Phi^2_1:=0USD\\$

\\USD \Phi^2_2:=1USD\\$

\\USD \Phi^2_3:=0USD\\$

\\USD \Phi^2_4:=0USD\\$

\\USD \Phi^2_5:=0USD\\$

\\USD \Phi^2_6:=0USD\\$

\\USD \Phi^3_1:=0USD\\$

\\USD \Phi^3_2:=0USD\\$

\\USD \Phi^3_3:=1USD\\$

\\USD \Phi^3_4:=0USD\\$

\\USD \Phi^3_5:=0USD\\$

\\USD \Phi^3_6:=0USD\\$

\\USD \Phi^4_1:=0USD\\$

\\USD \Phi^4_2:=0USD\\$

\\USD \Phi^4_3:=0USD\\$

\\USD \Phi^4_4:=1USD\\$

\\USD \Phi^4_5:=0USD\\$

\\USD \Phi^4_6:=0USD\\$

\\USD \Phi^5_1:= - ((xi(3,3)**2 + 1)*b(6,2)*xi(2,1)**2 + (xi(2,1) + 1)*(xi(2,1) 
- 1)*b(6,1)*xi(4,3)*xi(3,3) + (xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*b(6,2)*xi(4,3)*
xi(2,1) - ((xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)
)*xi(6,1))/((xi(4,3) - xi(2,1))**2 + xi(3,3)**2*xi(2,1)**2)USD\\$

\\USD \Phi^5_2:=(((xi(3,3)**2 + 1)*b(6,1) + (xi(3,3)**2 + 1)*xi(6,2)*xi(2,1) - (
xi(2,1) + 1)*(xi(2,1) - 1)*b(6,2)*xi(4,3)*xi(3,3))*xi(2,1) + (b(6,1) + xi(6,2)*
xi(2,1))*(xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3))/(((xi(4,3) - xi(2,1))**2 + 
xi(3,3)**2*xi(2,1)**2)*xi(2,1))USD\\$

\\USD \Phi^5_3:=0USD\\$

\\USD \Phi^5_4:=xi(5,3)/xi(4,3)USD\\$

\\USD \Phi^5_5:=1USD\\$

\\USD \Phi^5_6:=0USD\\$

\\USD \Phi^6_1:=b(6,1)USD\\$

\\USD \Phi^6_2:=b(6,2)USD\\$

\\USD \Phi^6_3:=0USD\\$

\\USD \Phi^6_4:=xi(6,3)/xi(4,3)USD\\$

\\USD \Phi^6_5:=0USD\\$

\\USD \Phi^6_6:=1USD\\$

USD det \Phi:=1USD$

\\ Then USD J2:=\Phi^{-1}*J*\Phi USD has entries :$

\\USD J2(1,1):=0USD\\$

\\USD J2(1,2):=( - 1)/xi(2,1)USD\\$

\\USD J2(1,3):=0USD\\$

\\USD J2(1,4):=0USD\\$

\\USD J2(1,5):=0USD\\$

\\USD J2(1,6):=0USD\\$

\\USD J2(2,1):=xi(2,1)USD\\$

\\USD J2(2,2):=0USD\\$

\\USD J2(2,3):=0USD\\$

\\USD J2(2,4):=0USD\\$

\\USD J2(2,5):=0USD\\$

\\USD J2(2,6):=0USD\\$

\\USD J2(3,1):=0USD\\$

\\USD J2(3,2):=0USD\\$

\\USD J2(3,3):=xi(3,3)USD\\$

\\USD J2(3,4):= - (xi(3,3)**2 + 1)/xi(4,3)USD\\$

\\USD J2(3,5):=0USD\\$

\\USD J2(3,6):=0USD\\$

\\USD J2(4,1):=0USD\\$

\\USD J2(4,2):=0USD\\$

\\USD J2(4,3):=xi(4,3)USD\\$

\\USD J2(4,4):= - xi(3,3)USD\\$

\\USD J2(4,5):=0USD\\$

\\USD J2(4,6):=0USD\\$

\\USD J2(5,1):=0USD\\$

\\USD J2(5,2):=0USD\\$

\\USD J2(5,3):=0USD\\$

\\USD J2(5,4):=0USD\\$

\\USD J2(5,5):=(xi(4,3)*xi(3,3)*(xi(2,1)**2 - 1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*
xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))USD\\$

\\USD J2(5,6):=(xi(4,3)**2*xi(2,1)**2 - 2*xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)/(xi(
4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))
USD\\$

\\USD J2(6,1):=0USD\\$

\\USD J2(6,2):=0USD\\$

\\USD J2(6,3):=0USD\\$

\\USD J2(6,4):=0USD\\$

\\USD J2(6,5):=( - xi(4,3)**2 + 2*xi(4,3)*xi(2,1) - xi(3,3)**2*xi(2,1)**2 - xi(2
,1)**2)/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) 
+ xi(2,1))USD\\$

\\USD J2(6,6):=(xi(4,3)*xi(3,3)*( - xi(2,1)**2 + 1))/(xi(4,3)**2*xi(2,1) - xi(4,
3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))USD\\$

USD det \Phi:=1USD$

\\ \4stars Hence, we are led to the case where moreover $

\\ USD xi(5,3):=0USD$

\\ USD xi(6,1):=0USD$

\\ USD xi(6,2):=0USD$

\\ USD xi(6,3):=0USD$

clear USD u, b(1,1),b(2,1),b(3,1),b(3,2),b(4,1),b(4,2) USD$

clear USD b(5,1),b(5,2),b(5,4),b(6,4) USD$

Then we have$

\\ USD xi(5,1):=0USD$

\\ USD xi(5,2):=0USD$

\\ USD xi(5,3):=0USD$

\\ USD xi(5,4):=0USD$

\\ USD xi(6,1):=0USD$

\\ USD xi(6,2):=0USD$

\\ USD xi(6,3):=0USD$

\\ USD xi(6,4):=0USD$

\\USD \Phi^1_1:=b(1,1)USD\\$

\\USD \Phi^1_2:=b(2,1)*uUSD\\$

\\USD \Phi^1_3:=0USD\\$

\\USD \Phi^1_4:=0USD\\$

\\USD \Phi^1_5:=0USD\\$

\\USD \Phi^1_6:=0USD\\$

\\USD \Phi^2_1:=b(2,1)USD\\$

\\USD \Phi^2_2:= - b(1,1)*uUSD\\$

\\USD \Phi^2_3:=0USD\\$

\\USD \Phi^2_4:=0USD\\$

\\USD \Phi^2_5:=0USD\\$

\\USD \Phi^2_6:=0USD\\$

\\USD \Phi^3_1:=b(3,1)USD\\$

\\USD \Phi^3_2:=b(3,2)USD\\$

\\USD \Phi^3_3:= - u*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^3_4:=0USD\\$

\\USD \Phi^3_5:=0USD\\$

\\USD \Phi^3_6:=0USD\\$

\\USD \Phi^4_1:=b(4,1)USD\\$

\\USD \Phi^4_2:=b(4,2)USD\\$

\\USD \Phi^4_3:=0USD\\$

\\USD \Phi^4_4:=b(2,1)**2 + b(1,1)**2USD\\$

\\USD \Phi^4_5:=0USD\\$

\\USD \Phi^4_6:=0USD\\$

\\USD \Phi^5_1:=b(5,1)USD\\$

\\USD \Phi^5_2:=b(5,2)USD\\$

\\USD \Phi^5_3:=b(4,2)*b(2,1) + b(4,1)*b(1,1)*u + b(3,2)*b(1,1) - b(3,1)*b(2,1)*
uUSD\\$

\\USD \Phi^5_4:=b(5,4)USD\\$

\\USD \Phi^5_5:= - b(1,1)*u*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^5_6:=b(2,1)*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^6_1:=b(6,1)USD\\$

\\USD \Phi^6_2:=b(6,2)USD\\$

\\USD \Phi^6_3:=b(4,2)*b(1,1) - b(4,1)*b(2,1)*u - b(3,2)*b(2,1) - b(3,1)*b(1,1)*
uUSD\\$

\\USD \Phi^6_4:=b(6,4)USD\\$

\\USD \Phi^6_5:=b(2,1)*u*(b(2,1)**2 + b(1,1)**2)USD\\$

\\USD \Phi^6_6:=b(1,1)*(b(2,1)**2 + b(1,1)**2)USD\\$

USD  J^1_1=0;USD\\$

USD  J^1_2=( - 1)/xi(2,1);USD\\$

USD  J^1_3=0;USD\\$

USD  J^1_4=0;USD\\$

USD  J^1_5=0;USD\\$

USD  J^1_6=0;USD\\$

USD  J^2_1=xi(2,1);USD\\$

USD  J^2_2=0;USD\\$

USD  J^2_3=0;USD\\$

USD  J^2_4=0;USD\\$

USD  J^2_5=0;USD\\$

USD  J^2_6=0;USD\\$

USD  J^3_1=0;USD\\$

USD  J^3_2=0;USD\\$

USD  J^3_3=xi(3,3);USD\\$

USD  J^3_4=( - (xi(3,3)**2 + 1))/xi(4,3);USD\\$

USD  J^3_5=0;USD\\$

USD  J^3_6=0;USD\\$

USD  J^4_1=0;USD\\$

USD  J^4_2=0;USD\\$

USD  J^4_3=xi(4,3);USD\\$

USD  J^4_4= - xi(3,3);USD\\$

USD  J^4_5=0;USD\\$

USD  J^4_6=0;USD\\$

USD  J^5_1=0;USD\\$

USD  J^5_2=0;USD\\$

USD  J^5_3=0;USD\\$

USD  J^5_4=0;USD\\$

USD  J^5_5=((xi(2,1) + 1)*(xi(2,1) - 1)*xi(4,3)*xi(3,3))/((xi(4,3)*xi(2,1) - xi(
2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^5_6=((xi(4,3)*xi(2,1) - 2)*xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)/((xi(4,3)*xi
(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_1=0;USD\\$

USD  J^6_2=0;USD\\$

USD  J^6_3=0;USD\\$

USD  J^6_4=0;USD\\$

USD  J^6_5= - ((xi(4,3) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)/((xi
(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

USD  J^6_6= - ((xi(2,1) + 1)*(xi(2,1) - 1)*xi(4,3)*xi(3,3))/((xi(4,3)*xi(2,1) - 
xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1));USD\\$

 where USD xi(2,1)*xi(4,3) \neq 0,USD and \\$

USD D:=(xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)
,\neq 0 .USD$

\\$

USDUSD \Phi = \begin{pmatrix}$

b(1,1)&$

b(2,1)*u&$

0&$

0&$

0&$

0\\$

b(2,1)&$

 - b(1,1)*u&$

0&$

0&$

0&$

0\\$

b(3,1)&$

b(3,2)&$

 - (b(2,1)**2 + b(1,1)**2)*u&$

0&$

0&$

0\\$

b(4,1)&$

b(4,2)&$

0&$

b(2,1)**2 + b(1,1)**2&$

0&$

0\\$

b(5,1)&$

b(5,2)&$

b(3,2)*b(1,1) - b(3,1)*b(2,1)*u + b(4,1)*b(1,1)*u + b(4,2)*b(2,1)&$

b(5,4)&$

 - (b(2,1)**2 + b(1,1)**2)*b(1,1)*u&$

(b(2,1)**2 + b(1,1)**2)*b(2,1)\\$

b(6,1)&$

b(6,2)&$

 - (b(3,2)*b(2,1) + b(3,1)*b(1,1)*u + b(4,1)*b(2,1)*u - b(4,2)*b(1,1))&$

b(6,4)&$

(b(2,1)**2 + b(1,1)**2)*b(2,1)*u&$

(b(2,1)**2 + b(1,1)**2)*b(1,1)\end{pmatrix}USDUSD$

USD det \Phi:= - (b(2,1)**2 + b(1,1)**2)**6*uUSD$

\\ Then USD J2:=\Phi^{-1}*J*\Phi USD has entries :$

\\USD J2(1,1):=(b(2,1)*b(1,1)*(xi(2,1)**2 - 1))/(xi(2,1)*(b(2,1)**2 + b(1,1)**2)
)USD\\$

\\USD J2(1,2):=(u*(b(2,1)**2*xi(2,1)**2 + b(1,1)**2))/(xi(2,1)*(b(2,1)**2 + b(1,
1)**2))USD\\$

\\USD J2(1,3):=0USD\\$

\\USD J2(1,4):=0USD\\$

\\USD J2(1,5):=0USD\\$

\\USD J2(1,6):=0USD\\$

\\USD J2(2,1):= - (b(2,1)**2 + b(1,1)**2*xi(2,1)**2)/(xi(2,1)*u*(b(2,1)**2 + b(1
,1)**2))USD\\$

\\USD J2(2,2):=(b(2,1)*b(1,1)*( - xi(2,1)**2 + 1))/(xi(2,1)*(b(2,1)**2 + b(1,1)
**2))USD\\$

\\USD J2(2,3):=0USD\\$

\\USD J2(2,4):=0USD\\$

\\USD J2(2,5):=0USD\\$

\\USD J2(2,6):=0USD\\$

\\USD J2(3,1):=(b(4,1)*b(2,1)**2*xi(3,3)**2*xi(2,1) + b(4,1)*b(2,1)**2*xi(2,1) +
 b(4,1)*b(1,1)**2*xi(3,3)**2*xi(2,1) + b(4,1)*b(1,1)**2*xi(2,1) - b(3,2)*b(2,1)
**2*xi(4,3)*u - b(3,2)*b(1,1)**2*xi(4,3)*xi(2,1)**2*u - b(3,1)*b(2,1)**2*xi(4,3)
*xi(3,3)*xi(2,1) + b(3,1)*b(2,1)*b(1,1)*xi(4,3)*xi(2,1)**2 - b(3,1)*b(2,1)*b(1,1
)*xi(4,3) - b(3,1)*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1))/(xi(4,3)*xi(2,1)*u*(b(2,1)
**4 + 2*b(2,1)**2*b(1,1)**2 + b(1,1)**4))USD\\$

\\USD J2(3,2):=(b(4,2)*b(2,1)**2*xi(3,3)**2*xi(2,1) + b(4,2)*b(2,1)**2*xi(2,1) +
 b(4,2)*b(1,1)**2*xi(3,3)**2*xi(2,1) + b(4,2)*b(1,1)**2*xi(2,1) - b(3,2)*b(2,1)
**2*xi(4,3)*xi(3,3)*xi(2,1) - b(3,2)*b(2,1)*b(1,1)*xi(4,3)*xi(2,1)**2 + b(3,2)*b
(2,1)*b(1,1)*xi(4,3) - b(3,2)*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1) + b(3,1)*b(2,1)
**2*xi(4,3)*xi(2,1)**2*u + b(3,1)*b(1,1)**2*xi(4,3)*u)/(xi(4,3)*xi(2,1)*u*(b(2,1
)**4 + 2*b(2,1)**2*b(1,1)**2 + b(1,1)**4))USD\\$

\\USD J2(3,3):=xi(3,3)USD\\$

\\USD J2(3,4):=(xi(3,3)**2 + 1)/(xi(4,3)*u)USD\\$

\\USD J2(3,5):=0USD\\$

\\USD J2(3,6):=0USD\\$

\\USD J2(4,1):=(b(4,2)*b(2,1)**2 + b(4,2)*b(1,1)**2*xi(2,1)**2 - b(4,1)*b(2,1)**
2*xi(3,3)*xi(2,1)*u - b(4,1)*b(2,1)*b(1,1)*xi(2,1)**2*u + b(4,1)*b(2,1)*b(1,1)*u
 - b(4,1)*b(1,1)**2*xi(3,3)*xi(2,1)*u + b(3,1)*b(2,1)**2*xi(4,3)*xi(2,1)*u + b(3
,1)*b(1,1)**2*xi(4,3)*xi(2,1)*u)/(xi(2,1)*u*(b(2,1)**4 + 2*b(2,1)**2*b(1,1)**2 +
 b(1,1)**4))USD\\$

\\USD J2(4,2):=( - b(4,2)*b(2,1)**2*xi(3,3)*xi(2,1) + b(4,2)*b(2,1)*b(1,1)*xi(2,
1)**2 - b(4,2)*b(2,1)*b(1,1) - b(4,2)*b(1,1)**2*xi(3,3)*xi(2,1) - b(4,1)*b(2,1)
**2*xi(2,1)**2*u - b(4,1)*b(1,1)**2*u + b(3,2)*b(2,1)**2*xi(4,3)*xi(2,1) + b(3,2
)*b(1,1)**2*xi(4,3)*xi(2,1))/(xi(2,1)*(b(2,1)**4 + 2*b(2,1)**2*b(1,1)**2 + b(1,1
)**4))USD\\$

\\USD J2(4,3):= - xi(4,3)*uUSD\\$

\\USD J2(4,4):= - xi(3,3)USD\\$

\\USD J2(4,5):=0USD\\$

\\USD J2(4,6):=0USD\\$

\\USD J2(5,1):=( - b(6,4)*b(4,2)*b(2,1)**3*xi(4,3)**3*xi(2,1)*u + b(6,4)*b(4,2)*
b(2,1)**3*xi(4,3)**2*xi(2,1)**2*u + b(6,4)*b(4,2)*b(2,1)**3*xi(4,3)**2*u - b(6,4
)*b(4,2)*b(2,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(6,4)*b(4,2)*b(2,1)**3*xi(4,3
)*xi(2,1)*u - b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)**3*u + b(6,4)*b(
4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)**4*u + b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*
xi(4,3)**2*xi(2,1)**2*u - b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2
,1)**3*u - b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1)**3*u + b(6,4)*b(4,1)*b
(2,1)**3*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - b(6,4)*b(4,1)*b(2,1)**3*xi(4,3)**2*xi(3
,3)*xi(2,1)**3 - b(6,4)*b(4,1)*b(2,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1) + b(6,4)*b(4
,1)*b(2,1)**3*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + b(6,4)*b(4,1)*b(2,1)**3*xi(4,3)*xi
(3,3)*xi(2,1)**2 + b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)**3 - b(6,4)
*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1) - b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(
4,3)**2*xi(2,1)**4 + b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2 + b(6,4)*b(4,1)*b
(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*
xi(4,3)*xi(3,3)**2*xi(2,1) + b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1)**3 -
 b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1) + b(6,4)*b(4,1)*b(2,1)*b(1,1)**2
*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(3,
3)*xi(2,1)**3 - b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) + b(6,
4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + b(6,4)*b(4,1)*b(2,1)*
b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(6,4)*b(3,1)*b(2,1)**3*xi(4,3)**4*xi(2,1
)**2 + b(6,4)*b(3,1)*b(2,1)**3*xi(4,3)**3*xi(2,1)**3 + b(6,4)*b(3,1)*b(2,1)**3*
xi(4,3)**3*xi(2,1) - b(6,4)*b(3,1)*b(2,1)**3*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - 
b(6,4)*b(3,1)*b(2,1)**3*xi(4,3)**2*xi(2,1)**2 - b(6,4)*b(3,1)*b(2,1)*b(1,1)**2*
xi(4,3)**4*xi(2,1)**2 + b(6,4)*b(3,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)**3 + b
(6,4)*b(3,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1) - b(6,4)*b(3,1)*b(2,1)*b(1,1)**
2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - b(6,4)*b(3,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*
xi(2,1)**2 + b(6,2)*b(2,1)**5*xi(4,3)**3*xi(2,1)*u - b(6,2)*b(2,1)**5*xi(4,3)**2
*xi(2,1)**2*u - b(6,2)*b(2,1)**5*xi(4,3)**2*u + b(6,2)*b(2,1)**5*xi(4,3)*xi(3,3)
**2*xi(2,1)*u + b(6,2)*b(2,1)**5*xi(4,3)*xi(2,1)*u + b(6,2)*b(2,1)**3*b(1,1)**2*
xi(4,3)**3*xi(2,1)**3*u + b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - b(6,
2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2,1)**4*u - 2*b(6,2)*b(2,1)**3*b(1,1)**2*xi
(4,3)**2*xi(2,1)**2*u - b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*u + b(6,2)*b(2,1)
**3*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,
3)*xi(3,3)**2*xi(2,1)*u + b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)**3*u + b(6,
2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)*u + b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)**3*xi
(2,1)**3*u - b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**4*u - b(6,2)*b(2,1)*b(1
,1)**4*xi(4,3)**2*xi(2,1)**2*u + b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2
,1)**3*u + b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)*xi(2,1)**3*u - b(6,1)*b(2,1)**5*xi(4,
3)**2*xi(3,3)*xi(2,1)**3 + b(6,1)*b(2,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1) - 2*b(6,1
)*b(2,1)**4*b(1,1)*xi(4,3)**3*xi(2,1)**3 + b(6,1)*b(2,1)**4*b(1,1)*xi(4,3)**3*xi
(2,1) + b(6,1)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**4 + 2*b(6,1)*b(2,1)**4*b(1,1
)*xi(4,3)**2*xi(2,1)**2 - b(6,1)*b(2,1)**4*b(1,1)*xi(4,3)**2 - b(6,1)*b(2,1)**4*
b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(6,1)*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)**
3 - 2*b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + 2*b(6,1)*b(2,1)
**3*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) - 3*b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)
**3*xi(2,1)**3 + b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1) + b(6,1)*b(2,1)**
2*b(1,1)**3*xi(4,3)**2*xi(2,1)**4 + 4*b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2
,1)**2 - b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2 - b(6,1)*b(2,1)**2*b(1,1)**3*xi(4
,3)*xi(3,3)**2*xi(2,1)**3 - b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1
) - b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)**3 - b(6,1)*b(2,1)**2*b(1,1)**3*
xi(4,3)*xi(2,1) - b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(6,1)
*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) - b(6,1)*b(1,1)**5*xi(4,3)**3*xi(2,
1)**3 + 2*b(6,1)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2 - b(6,1)*b(1,1)**5*xi(4,3)*xi(3
,3)**2*xi(2,1) - b(6,1)*b(1,1)**5*xi(4,3)*xi(2,1) + b(5,4)*b(4,2)*b(2,1)**2*b(1,
1)*xi(4,3)**3*xi(2,1)*u - b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**2*u
 - b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*u + b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*
xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1)*u 
+ b(5,4)*b(4,2)*b(1,1)**3*xi(4,3)**3*xi(2,1)**3*u - b(5,4)*b(4,2)*b(1,1)**3*xi(4
,3)**2*xi(2,1)**4*u - b(5,4)*b(4,2)*b(1,1)**3*xi(4,3)**2*xi(2,1)**2*u + b(5,4)*b
(4,2)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(5,4)*b(4,2)*b(1,1)**3*xi(4,3
)*xi(2,1)**3*u - b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(3,3)*xi(2,1)**2 + 
b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,4)*b(4,1)*b(2
,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1) - b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3
)*xi(3,3)**3*xi(2,1)**2 - b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1)
**2 - b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)**3 + b(5,4)*b(4,1)*b(2,1
)*b(1,1)**2*xi(4,3)**3*xi(2,1) + b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,
1)**4 - b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2 - b(5,4)*b(4,1)*b(2,1)*b(1,1)
**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,
3)**2*xi(2,1) - b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1)**3 + b(5,4)*b(4,1
)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1) - b(5,4)*b(4,1)*b(1,1)**3*xi(4,3)**3*xi(3,3)*
xi(2,1)**2 + b(5,4)*b(4,1)*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,4)*b(4,
1)*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1) - b(5,4)*b(4,1)*b(1,1)**3*xi(4,3)*xi(3,3
)**3*xi(2,1)**2 - b(5,4)*b(4,1)*b(1,1)**3*xi(4,3)*xi(3,3)*xi(2,1)**2 + b(5,4)*b(
3,1)*b(2,1)**2*b(1,1)*xi(4,3)**4*xi(2,1)**2 - b(5,4)*b(3,1)*b(2,1)**2*b(1,1)*xi(
4,3)**3*xi(2,1)**3 - b(5,4)*b(3,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1) + b(5,4)*
b(3,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 + b(5,4)*b(3,1)*b(2,1)
**2*b(1,1)*xi(4,3)**2*xi(2,1)**2 + b(5,4)*b(3,1)*b(1,1)**3*xi(4,3)**4*xi(2,1)**2
 - b(5,4)*b(3,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)**3 - b(5,4)*b(3,1)*b(1,1)**3*xi(4,
3)**3*xi(2,1) + b(5,4)*b(3,1)*b(1,1)**3*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 + b(5,4
)*b(3,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**2 - b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)**3*xi
(2,1)*u + b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**2*u + b(5,2)*b(2,1)**4*b(1
,1)*xi(4,3)**2*u - b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(5,2)
*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)*u - b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2
,1)**3*u - b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1)*u + b(5,2)*b(2,1)**2*b(
1,1)**3*xi(4,3)**2*xi(2,1)**4*u + 2*b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1
)**2*u + b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*u - b(5,2)*b(2,1)**2*b(1,1)**3*xi
(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi
(2,1)*u - b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)**3*u - b(5,2)*b(2,1)**2*b(1
,1)**3*xi(4,3)*xi(2,1)*u - b(5,2)*b(1,1)**5*xi(4,3)**3*xi(2,1)**3*u + b(5,2)*b(1
,1)**5*xi(4,3)**2*xi(2,1)**4*u + b(5,2)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2*u - b(5,
2)*b(1,1)**5*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(5,2)*b(1,1)**5*xi(4,3)*xi(2,1)
**3*u - b(5,1)*b(2,1)**5*xi(4,3)**3*xi(2,1) + 2*b(5,1)*b(2,1)**5*xi(4,3)**2*xi(2
,1)**2 - b(5,1)*b(2,1)**5*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(5,1)*b(2,1)**5*xi(4,
3)*xi(2,1)**3 - b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,1)*b
(2,1)**4*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1) + b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)
**3*xi(2,1)**3 - 3*b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1) - b(5,1)*b(2,1)
**3*b(1,1)**2*xi(4,3)**2*xi(2,1)**4 + 4*b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi
(2,1)**2 + b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2 - b(5,1)*b(2,1)**3*b(1,1)**2*xi
(4,3)*xi(3,3)**2*xi(2,1)**3 - b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2
,1) - b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)**3 - b(5,1)*b(2,1)**3*b(1,1)**2
*xi(4,3)*xi(2,1) - 2*b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + 
2*b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1) + b(5,1)*b(2,1)*b(1,1)**
4*xi(4,3)**3*xi(2,1)**3 - 2*b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)**3*xi(2,1) - b(5,1)*
b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**4 + 2*b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi
(2,1)**2 + b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)**2 - b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)*
xi(3,3)**2*xi(2,1) - b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)*xi(2,1) - b(5,1)*b(1,1)**5*
xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,1)*b(1,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1) + b(
4,1)**2*b(2,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 + b(4,1)**2*b(2,1)**4*xi(4,3)
**2*xi(2,1)**2 - b(4,1)**2*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(4,1)**2*b
(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) - b(4,1)**2*b(2,1)**4*xi(4,3)*xi(2,1)**3 - b
(4,1)**2*b(2,1)**4*xi(4,3)*xi(2,1) + b(4,1)**2*b(2,1)**4*xi(3,3)**4*xi(2,1)**2 +
 2*b(4,1)**2*b(2,1)**4*xi(3,3)**2*xi(2,1)**2 + b(4,1)**2*b(2,1)**4*xi(2,1)**2 + 
2*b(4,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 + 2*b(4,1)**2*b
(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**2 - 2*b(4,1)**2*b(2,1)**2*b(1,1)**2*xi(4,
3)*xi(3,3)**2*xi(2,1)**3 - 2*b(4,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi
(2,1) - 2*b(4,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3 - 2*b(4,1)**2*b(2,1)
**2*b(1,1)**2*xi(4,3)*xi(2,1) + 2*b(4,1)**2*b(2,1)**2*b(1,1)**2*xi(3,3)**4*xi(2,
1)**2 + 4*b(4,1)**2*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(2,1)**2 + 2*b(4,1)**2*b(2,
1)**2*b(1,1)**2*xi(2,1)**2 + b(4,1)**2*b(1,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**
2 + b(4,1)**2*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 - b(4,1)**2*b(1,1)**4*xi(4,3)*xi(3
,3)**2*xi(2,1)**3 - b(4,1)**2*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) - b(4,1)**2*b
(1,1)**4*xi(4,3)*xi(2,1)**3 - b(4,1)**2*b(1,1)**4*xi(4,3)*xi(2,1) + b(4,1)**2*b(
1,1)**4*xi(3,3)**4*xi(2,1)**2 + 2*b(4,1)**2*b(1,1)**4*xi(3,3)**2*xi(2,1)**2 + b(
4,1)**2*b(1,1)**4*xi(2,1)**2 - b(4,1)*b(3,2)*b(2,1)**4*xi(4,3)**3*xi(2,1)*u + b(
4,1)*b(3,2)*b(2,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + 2*b(4,1)*b(3,2)*b(2,1
)**4*xi(4,3)**2*xi(2,1)**2*u + b(4,1)*b(3,2)*b(2,1)**4*xi(4,3)**2*u - b(4,1)*b(3
,2)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - 2*b(4,1)*b(3,2)*b(2,1)**4*xi(4,3
)*xi(3,3)**2*xi(2,1)*u - b(4,1)*b(3,2)*b(2,1)**4*xi(4,3)*xi(2,1)**3*u - 2*b(4,1)
*b(3,2)*b(2,1)**4*xi(4,3)*xi(2,1)*u + b(4,1)*b(3,2)*b(2,1)**4*xi(3,3)**4*xi(2,1)
**2*u + 2*b(4,1)*b(3,2)*b(2,1)**4*xi(3,3)**2*xi(2,1)**2*u + b(4,1)*b(3,2)*b(2,1)
**4*xi(2,1)**2*u - b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1)**3*u - b
(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1)*u + 2*b(4,1)*b(3,2)*b(2,1)**
2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,1)*b(3,2)*b(2,1)**2*b(1,1)
**2*xi(4,3)**2*xi(2,1)**4*u + 4*b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(
2,1)**2*u + b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*u - 3*b(4,1)*b(3,2)*b(2
,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - 3*b(4,1)*b(3,2)*b(2,1)**2*b(1
,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u - 3*b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3
)*xi(2,1)**3*u - 3*b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)*u + 2*b(4,1
)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(3,3)**4*xi(2,1)**2*u + 4*b(4,1)*b(3,2)*b(2,1)**2
*b(1,1)**2*xi(3,3)**2*xi(2,1)**2*u + 2*b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(2,1)
**2*u - b(4,1)*b(3,2)*b(1,1)**4*xi(4,3)**3*xi(2,1)**3*u + b(4,1)*b(3,2)*b(1,1)**
4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,1)*b(3,2)*b(1,1)**4*xi(4,3)**2*xi(2,1
)**4*u + 2*b(4,1)*b(3,2)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2*u - 2*b(4,1)*b(3,2)*b(1
,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(4,1)*b(3,2)*b(1,1)**4*xi(4,3)*xi(3,3)
**2*xi(2,1)*u - 2*b(4,1)*b(3,2)*b(1,1)**4*xi(4,3)*xi(2,1)**3*u - b(4,1)*b(3,2)*b
(1,1)**4*xi(4,3)*xi(2,1)*u + b(4,1)*b(3,2)*b(1,1)**4*xi(3,3)**4*xi(2,1)**2*u + 2
*b(4,1)*b(3,2)*b(1,1)**4*xi(3,3)**2*xi(2,1)**2*u + b(4,1)*b(3,2)*b(1,1)**4*xi(2,
1)**2*u - b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2 + b(4,1)*b(3,1)*
b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(
3,3)*xi(2,1) - b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2 - b(4,1)*b(
3,1)*b(2,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2 + b(4,1)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,
3)**3*xi(2,1)**3 - b(4,1)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1) - b(4,1)*b(
3,1)*b(2,1)**3*b(1,1)*xi(4,3)**2*xi(2,1)**4 + b(4,1)*b(3,1)*b(2,1)**3*b(1,1)*xi(
4,3)**2 + b(4,1)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(4,1)*
b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1) + b(4,1)*b(3,1)*b(2,1)**3*b(1
,1)*xi(4,3)*xi(2,1)**3 - b(4,1)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1) - 2*b(4,
1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(3,3)*xi(2,1)**2 + 2*b(4,1)*b(3,1)*b(
2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + 2*b(4,1)*b(3,1)*b(2,1)**2*b(1,
1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) - 2*b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*
xi(3,3)**3*xi(2,1)**2 - 2*b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2
,1)**2 + b(4,1)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)**3 - b(4,1)*b(3,1)*b(
2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1) - b(4,1)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**2*xi
(2,1)**4 + b(4,1)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**2 + b(4,1)*b(3,1)*b(2,1)*b(1,
1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(4,1)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(
3,3)**2*xi(2,1) + b(4,1)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1)**3 - b(4,1)*b(3
,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1) - b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)**3*xi(3,3
)*xi(2,1)**2 + b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(4,1)*b(
3,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) - b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3
,3)**3*xi(2,1)**2 - b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(3,2)
**2*b(2,1)**4*xi(4,3)**3*xi(2,1) + b(3,2)**2*b(2,1)**4*xi(4,3)**2*xi(2,1)**2 + b
(3,2)**2*b(2,1)**4*xi(4,3)**2 - b(3,2)**2*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) -
 b(3,2)**2*b(2,1)**4*xi(4,3)*xi(2,1) - b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**3*
xi(2,1)**3 - b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1) + b(3,2)**2*b(2,1)
**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**4 + 2*b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2
*xi(2,1)**2 + b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2 - b(3,2)**2*b(2,1)**2*b(1
,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(
3,3)**2*xi(2,1) - b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3 - b(3,2)**2*b
(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1) - b(3,2)**2*b(1,1)**4*xi(4,3)**3*xi(2,1)**3 +
 b(3,2)**2*b(1,1)**4*xi(4,3)**2*xi(2,1)**4 + b(3,2)**2*b(1,1)**4*xi(4,3)**2*xi(2
,1)**2 - b(3,2)**2*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(3,2)**2*b(1,1)**4
*xi(4,3)*xi(2,1)**3 - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u + 
b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(3,2)*b(3,1)*b(2,1)**
4*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**3*xi(2
,1)**2*u - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2*u + b(3,2)*b(3,1)*
b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)**3*u - b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3
)**3*xi(2,1)*u - b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)**2*xi(2,1)**4*u + b(3,2)
*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)**2*u + b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*
xi(3,3)**2*xi(2,1)**3*u - b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2
,1)*u + b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)**3*u - b(3,2)*b(3,1)*b(2,
1)**3*b(1,1)*xi(4,3)*xi(2,1)*u - 2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*
xi(3,3)*xi(2,1)**2*u + 2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi
(2,1)**3*u + 2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u - 
2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - 2*b(3,2)*b
(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2*u + b(3,2)*b(3,1)*b(2,1)*b(
1,1)**3*xi(4,3)**3*xi(2,1)**3*u - b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2
,1)*u - b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**4*u + b(3,2)*b(3,1)*b
(2,1)*b(1,1)**3*xi(4,3)**2*u + b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2
*xi(2,1)**3*u - b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(
3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1)**3*u - b(3,2)*b(3,1)*b(2,1)*b(1,1)
**3*xi(4,3)*xi(2,1)*u - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u 
+ b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(3,2)*b(3,1)*b(1,1)
**4*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)**3*xi
(2,1)**2*u - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2*u)/(xi(4,3)*xi(2
,1)*u*(b(2,1)**8*xi(4,3)**2*xi(2,1) - b(2,1)**8*xi(4,3)*xi(2,1)**2 - b(2,1)**8*
xi(4,3) + b(2,1)**8*xi(3,3)**2*xi(2,1) + b(2,1)**8*xi(2,1) + 4*b(2,1)**6*b(1,1)
**2*xi(4,3)**2*xi(2,1) - 4*b(2,1)**6*b(1,1)**2*xi(4,3)*xi(2,1)**2 - 4*b(2,1)**6*
b(1,1)**2*xi(4,3) + 4*b(2,1)**6*b(1,1)**2*xi(3,3)**2*xi(2,1) + 4*b(2,1)**6*b(1,1
)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**4*xi(4,3)**2*xi(2,1) - 6*b(2,1)**4*b(1,1)**4*
xi(4,3)*xi(2,1)**2 - 6*b(2,1)**4*b(1,1)**4*xi(4,3) + 6*b(2,1)**4*b(1,1)**4*xi(3,
3)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**4*xi(2,1) + 4*b(2,1)**2*b(1,1)**6*xi(4,3)**2
*xi(2,1) - 4*b(2,1)**2*b(1,1)**6*xi(4,3)*xi(2,1)**2 - 4*b(2,1)**2*b(1,1)**6*xi(4
,3) + 4*b(2,1)**2*b(1,1)**6*xi(3,3)**2*xi(2,1) + 4*b(2,1)**2*b(1,1)**6*xi(2,1) +
 b(1,1)**8*xi(4,3)**2*xi(2,1) - b(1,1)**8*xi(4,3)*xi(2,1)**2 - b(1,1)**8*xi(4,3)
 + b(1,1)**8*xi(3,3)**2*xi(2,1) + b(1,1)**8*xi(2,1)))USD\\$

\\USD J2(5,2):=(b(6,4)*b(4,2)*b(2,1)**3*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - b(6,4)*b
(4,2)*b(2,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3 - b(6,4)*b(4,2)*b(2,1)**3*xi(4,3)
**2*xi(3,3)*xi(2,1) + b(6,4)*b(4,2)*b(2,1)**3*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + b(
6,4)*b(4,2)*b(2,1)**3*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(6,4)*b(4,2)*b(2,1)**2*b(1,1
)*xi(4,3)**3*xi(2,1)**3 + b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1) + b(
6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**4 - b(6,4)*b(4,2)*b(2,1)**2*b(1
,1)*xi(4,3)**2 - b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + 
b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1) - b(6,4)*b(4,2)*b(2,1)
**2*b(1,1)*xi(4,3)*xi(2,1)**3 + b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1) +
 b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - b(6,4)*b(4,2)*b(
2,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 - b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi
(4,3)**2*xi(3,3)*xi(2,1) + b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(
2,1)**2 + b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 + b(6,4)*b(4
,1)*b(2,1)**3*xi(4,3)**3*xi(2,1)**3*u - b(6,4)*b(4,1)*b(2,1)**3*xi(4,3)**2*xi(2,
1)**4*u - b(6,4)*b(4,1)*b(2,1)**3*xi(4,3)**2*xi(2,1)**2*u + b(6,4)*b(4,1)*b(2,1)
**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(6,4)*b(4,1)*b(2,1)**3*xi(4,3)*xi(2,1)**3
*u + b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - b(6,4)*b(4,1)*b(2,1)*
b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u - b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*u 
+ b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(6,4)*b(4,1)*b(
2,1)*b(1,1)**2*xi(4,3)*xi(2,1)*u - b(6,4)*b(3,2)*b(2,1)**3*xi(4,3)**4*xi(2,1)**2
 + b(6,4)*b(3,2)*b(2,1)**3*xi(4,3)**3*xi(2,1)**3 + b(6,4)*b(3,2)*b(2,1)**3*xi(4,
3)**3*xi(2,1) - b(6,4)*b(3,2)*b(2,1)**3*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - b(6,4
)*b(3,2)*b(2,1)**3*xi(4,3)**2*xi(2,1)**2 - b(6,4)*b(3,2)*b(2,1)*b(1,1)**2*xi(4,3
)**4*xi(2,1)**2 + b(6,4)*b(3,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)**3 + b(6,4)*
b(3,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1) - b(6,4)*b(3,2)*b(2,1)*b(1,1)**2*xi(4
,3)**2*xi(3,3)**2*xi(2,1)**2 - b(6,4)*b(3,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)
**2 - b(6,2)*b(2,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(6,2)*b(2,1)**5*xi(4,3)
**2*xi(3,3)*xi(2,1) - b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)**3*xi(2,1) - b(6,2)*b(2,1)
**4*b(1,1)*xi(4,3)**2*xi(2,1)**4 + 2*b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)
**2 + b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)**2 + b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)*xi(3,
3)**2*xi(2,1)**3 - 2*b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1) + b(6,2)
*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)**3 - 2*b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)
 - 2*b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + 2*b(6,2)*b(2,1)
**3*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) - b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**3
*xi(2,1)**3 - b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1) - b(6,2)*b(2,1)**2*b
(1,1)**3*xi(4,3)**2*xi(2,1)**4 + 4*b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)
**2 + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2 + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)
*xi(3,3)**2*xi(2,1)**3 - 3*b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)
 + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)**3 - 3*b(6,2)*b(2,1)**2*b(1,1)**3*
xi(4,3)*xi(2,1) - b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(6,2)
*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) - b(6,2)*b(1,1)**5*xi(4,3)**3*xi(2,
1)**3 + 2*b(6,2)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2 - b(6,2)*b(1,1)**5*xi(4,3)*xi(3
,3)**2*xi(2,1) - b(6,2)*b(1,1)**5*xi(4,3)*xi(2,1) - b(6,1)*b(2,1)**5*xi(4,3)**3*
xi(2,1)**3*u + b(6,1)*b(2,1)**5*xi(4,3)**2*xi(2,1)**4*u + b(6,1)*b(2,1)**5*xi(4,
3)**2*xi(2,1)**2*u - b(6,1)*b(2,1)**5*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(6,1)*b
(2,1)**5*xi(4,3)*xi(2,1)**3*u - b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1)**3
*u - b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1)*u + b(6,1)*b(2,1)**3*b(1,1)**
2*xi(4,3)**2*xi(2,1)**4*u + 2*b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u
 + b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*u - b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*
xi(3,3)**2*xi(2,1)**3*u - b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*
u - b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)**3*u - b(6,1)*b(2,1)**3*b(1,1)**2
*xi(4,3)*xi(2,1)*u - b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)**3*xi(2,1)*u + b(6,1)*b(2,1
)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2*u + b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)**2*u - b(6
,1)*b(2,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(6,1)*b(2,1)*b(1,1)**4*xi(4
,3)*xi(2,1)*u - b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(3,3)*xi(2,1)**2 + b
(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,4)*b(4,2)*b(2,
1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1) - b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)
*xi(3,3)**3*xi(2,1)**2 - b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1)
**2 + b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)**3 - b(5,4)*b(4,2)*b(2,1
)*b(1,1)**2*xi(4,3)**3*xi(2,1) - b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,
1)**4 + b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2 + b(5,4)*b(4,2)*b(2,1)*b(1,1)
**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,
3)**2*xi(2,1) + b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1)**3 - b(5,4)*b(4,2
)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1) - b(5,4)*b(4,2)*b(1,1)**3*xi(4,3)**3*xi(3,3)*
xi(2,1)**2 + b(5,4)*b(4,2)*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,4)*b(4,
2)*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1) - b(5,4)*b(4,2)*b(1,1)**3*xi(4,3)*xi(3,3
)**3*xi(2,1)**2 - b(5,4)*b(4,2)*b(1,1)**3*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(5,4)*b(
4,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)**3*u + b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*
xi(4,3)**2*xi(2,1)**4*u + b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**2*u
 - b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(5,4)*b(4,1
)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1)**3*u - b(5,4)*b(4,1)*b(1,1)**3*xi(4,3)**3*xi(
2,1)*u + b(5,4)*b(4,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**2*u + b(5,4)*b(4,1)*b(1,1)
**3*xi(4,3)**2*u - b(5,4)*b(4,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(5,4)
*b(4,1)*b(1,1)**3*xi(4,3)*xi(2,1)*u + b(5,4)*b(3,2)*b(2,1)**2*b(1,1)*xi(4,3)**4*
xi(2,1)**2 - b(5,4)*b(3,2)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)**3 - b(5,4)*b(3,2
)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1) + b(5,4)*b(3,2)*b(2,1)**2*b(1,1)*xi(4,3)**
2*xi(3,3)**2*xi(2,1)**2 + b(5,4)*b(3,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**2 +
 b(5,4)*b(3,2)*b(1,1)**3*xi(4,3)**4*xi(2,1)**2 - b(5,4)*b(3,2)*b(1,1)**3*xi(4,3)
**3*xi(2,1)**3 - b(5,4)*b(3,2)*b(1,1)**3*xi(4,3)**3*xi(2,1) + b(5,4)*b(3,2)*b(1,
1)**3*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 + b(5,4)*b(3,2)*b(1,1)**3*xi(4,3)**2*xi(2
,1)**2 - b(5,2)*b(2,1)**5*xi(4,3)**3*xi(2,1) + 2*b(5,2)*b(2,1)**5*xi(4,3)**2*xi(
2,1)**2 - b(5,2)*b(2,1)**5*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(5,2)*b(2,1)**5*xi(4
,3)*xi(2,1)**3 - b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(5,2)*
b(2,1)**4*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1) - b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)
**3*xi(2,1)**3 - b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1) + b(5,2)*b(2,1)**
3*b(1,1)**2*xi(4,3)**2*xi(2,1)**4 + 4*b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2
,1)**2 - b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2 - 3*b(5,2)*b(2,1)**3*b(1,1)**2*xi
(4,3)*xi(3,3)**2*xi(2,1)**3 + b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2
,1) - 3*b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)**3 + b(5,2)*b(2,1)**3*b(1,1)
**2*xi(4,3)*xi(2,1) - 2*b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3
 + 2*b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1) - b(5,2)*b(2,1)*b(1,1
)**4*xi(4,3)**3*xi(2,1)**3 + b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**4 + 2*b
(5,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 - b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)**
2 - 2*b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(5,2)*b(2,1)*b(1,
1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) - 2*b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)*xi(2,1)**3 
+ b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)*xi(2,1) - b(5,2)*b(1,1)**5*xi(4,3)**2*xi(3,3)*
xi(2,1)**3 + b(5,2)*b(1,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1) + b(5,1)*b(2,1)**4*b(1,
1)*xi(4,3)**3*xi(2,1)**3*u - b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**4*u - b
(5,1)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**2*u + b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)
*xi(3,3)**2*xi(2,1)**3*u + b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)**3*u + b(5,1)
*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1)**3*u + b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3
)**3*xi(2,1)*u - b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)**4*u - 2*b(5,1)*b
(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)**2*u - b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)
**2*u + b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(5,1)*b(2,
1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3
)*xi(2,1)**3*u + b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)*u + b(5,1)*b(1,1)**5
*xi(4,3)**3*xi(2,1)*u - b(5,1)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2*u - b(5,1)*b(1,1)
**5*xi(4,3)**2*u + b(5,1)*b(1,1)**5*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(5,1)*b(1,1)
**5*xi(4,3)*xi(2,1)*u + b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2
 + b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)**2*xi(2,1)**2 - b(4,2)*b(4,1)*b(2,1)**4*xi(4,
3)*xi(3,3)**2*xi(2,1)**3 - b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) - 
b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)*xi(2,1)**3 - b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)*xi(
2,1) + b(4,2)*b(4,1)*b(2,1)**4*xi(3,3)**4*xi(2,1)**2 + 2*b(4,2)*b(4,1)*b(2,1)**4
*xi(3,3)**2*xi(2,1)**2 + b(4,2)*b(4,1)*b(2,1)**4*xi(2,1)**2 + 2*b(4,2)*b(4,1)*b(
2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 + 2*b(4,2)*b(4,1)*b(2,1)**2*b
(1,1)**2*xi(4,3)**2*xi(2,1)**2 - 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(
3,3)**2*xi(2,1)**3 - 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2
,1) - 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3 - 2*b(4,2)*b(4,1)*b
(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1) + 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(3,3)
**4*xi(2,1)**2 + 4*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(2,1)**2 + 2*b
(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(2,1)**2 + b(4,2)*b(4,1)*b(1,1)**4*xi(4,3)**2
*xi(3,3)**2*xi(2,1)**2 + b(4,2)*b(4,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 - b(4,2)*
b(4,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(4,2)*b(4,1)*b(1,1)**4*xi(4,3)
*xi(3,3)**2*xi(2,1) - b(4,2)*b(4,1)*b(1,1)**4*xi(4,3)*xi(2,1)**3 - b(4,2)*b(4,1)
*b(1,1)**4*xi(4,3)*xi(2,1) + b(4,2)*b(4,1)*b(1,1)**4*xi(3,3)**4*xi(2,1)**2 + 2*b
(4,2)*b(4,1)*b(1,1)**4*xi(3,3)**2*xi(2,1)**2 + b(4,2)*b(4,1)*b(1,1)**4*xi(2,1)**
2 + b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,2)*b(3,2)*b
(2,1)**4*xi(4,3)**2*xi(2,1)**2*u - b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi
(2,1)**3*u - b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(4,2)*b(3,2
)*b(2,1)**4*xi(4,3)*xi(2,1)**3*u - b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)*xi(2,1)*u + b
(4,2)*b(3,2)*b(2,1)**4*xi(3,3)**4*xi(2,1)**2*u + 2*b(4,2)*b(3,2)*b(2,1)**4*xi(3,
3)**2*xi(2,1)**2*u + b(4,2)*b(3,2)*b(2,1)**4*xi(2,1)**2*u + 2*b(4,2)*b(3,2)*b(2,
1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + 2*b(4,2)*b(3,2)*b(2,1)**2*b
(1,1)**2*xi(4,3)**2*xi(2,1)**2*u - 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*
xi(3,3)**2*xi(2,1)**3*u - 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2
*xi(2,1)*u - 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3*u - 2*b(4,2)
*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)*u + 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)
**2*xi(3,3)**4*xi(2,1)**2*u + 4*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(
2,1)**2*u + 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(2,1)**2*u + b(4,2)*b(3,2)*b(1
,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)**2*
xi(2,1)**2*u - b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(4,2)*
b(3,2)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)*
xi(2,1)**3*u - b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)*xi(2,1)*u + b(4,2)*b(3,2)*b(1,1)
**4*xi(3,3)**4*xi(2,1)**2*u + 2*b(4,2)*b(3,2)*b(1,1)**4*xi(3,3)**2*xi(2,1)**2*u 
+ b(4,2)*b(3,2)*b(1,1)**4*xi(2,1)**2*u - b(4,1)*b(3,2)*b(2,1)**4*xi(4,3)**3*xi(3
,3)*xi(2,1)**2 + b(4,1)*b(3,2)*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3 + b(4,1)*
b(3,2)*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) - b(4,1)*b(3,2)*b(2,1)**4*xi(4,3)*xi
(3,3)**3*xi(2,1)**2 - b(4,1)*b(3,2)*b(2,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(4,1
)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)**3 + b(4,1)*b(3,2)*b(2,1)**3*b(1,1)
*xi(4,3)**3*xi(2,1) + b(4,1)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)**2*xi(2,1)**4 - b(4
,1)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)**2 - b(4,1)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)*
xi(3,3)**2*xi(2,1)**3 + b(4,1)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1
) - b(4,1)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)**3 + b(4,1)*b(3,2)*b(2,1)**3*
b(1,1)*xi(4,3)*xi(2,1) - 2*b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(3,3)*
xi(2,1)**2 + 2*b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 +
 2*b(4,1)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) - 2*b(4,1)*b(3,2
)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2 - 2*b(4,1)*b(3,2)*b(2,1)**2*
b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(4,1)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)**3
*xi(2,1)**3 + b(4,1)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1) + b(4,1)*b(3,2)*
b(2,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**4 - b(4,1)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)
**2 - b(4,1)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(4,1)*b(3,
2)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1) - b(4,1)*b(3,2)*b(2,1)*b(1,1)**3*
xi(4,3)*xi(2,1)**3 + b(4,1)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1) - b(4,1)*b(3
,2)*b(1,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2 + b(4,1)*b(3,2)*b(1,1)**4*xi(4,3)**2
*xi(3,3)*xi(2,1)**3 + b(4,1)*b(3,2)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) - b(4,1
)*b(3,2)*b(1,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2 - b(4,1)*b(3,2)*b(1,1)**4*xi(4,
3)*xi(3,3)*xi(2,1)**2 + b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)**3*xi(2,1)**3*u - b(4,1)
*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(2,1)**4*u - b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)**2*
xi(2,1)**2*u + b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(4,1)*
b(3,1)*b(2,1)**4*xi(4,3)*xi(2,1)**3*u + b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3
)**3*xi(2,1)**3*u + b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - b(4
,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**4*u - 2*b(4,1)*b(3,1)*b(2,1)
**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u - b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3
)**2*u + b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(4
,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(4,1)*b(3,1)*b(2,
1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3*u + b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)
*xi(2,1)*u + b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)**3*xi(2,1)*u - b(4,1)*b(3,1)*b(1,1)
**4*xi(4,3)**2*xi(2,1)**2*u - b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)**2*u + b(4,1)*b(3,
1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)*xi(2
,1)*u - b(3,2)**2*b(2,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u + b(3,2)**2*b(2,1)**
4*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(3,2)**2*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,
1)*u - b(3,2)**2*b(2,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - b(3,2)**2*b(2,1)**4
*xi(4,3)*xi(3,3)*xi(2,1)**2*u - b(3,2)**2*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)**3
*u + b(3,2)**2*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)*u + b(3,2)**2*b(2,1)**3*b(1,1
)*xi(4,3)**2*xi(2,1)**4*u - b(3,2)**2*b(2,1)**3*b(1,1)*xi(4,3)**2*u - b(3,2)**2*
b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(3,2)**2*b(2,1)**3*b(1,1)*xi
(4,3)*xi(3,3)**2*xi(2,1)*u - b(3,2)**2*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)**3*u + b
(3,2)**2*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)*u - 2*b(3,2)**2*b(2,1)**2*b(1,1)**2*xi
(4,3)**3*xi(3,3)*xi(2,1)**2*u + 2*b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,
3)*xi(2,1)**3*u + 2*b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u -
 2*b(3,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - 2*b(3,2)**2*b
(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2*u - b(3,2)**2*b(2,1)*b(1,1)**3*xi(
4,3)**3*xi(2,1)**3*u + b(3,2)**2*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)*u + b(3,2)
**2*b(2,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**4*u - b(3,2)**2*b(2,1)*b(1,1)**3*xi(4,3
)**2*u - b(3,2)**2*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(3,2)**2*
b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(3,2)**2*b(2,1)*b(1,1)**3*xi(4,
3)*xi(2,1)**3*u + b(3,2)**2*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1)*u - b(3,2)**2*b(1,1
)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u + b(3,2)**2*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi
(2,1)**3*u + b(3,2)**2*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(3,2)**2*b(1,1)
**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - b(3,2)**2*b(1,1)**4*xi(4,3)*xi(3,3)*xi(2,1
)**2*u + b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**3*xi(2,1)**3 - b(3,2)*b(3,1)*b(2,1)**4
*xi(4,3)**2*xi(2,1)**4 - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(2,1)**2 + b(3,2)*
b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)
*xi(2,1)**3 + b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1)**3 + b(3,2)*b
(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1) - b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2
*xi(4,3)**2*xi(2,1)**4 - 2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)
**2 - b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2 + b(3,2)*b(3,1)*b(2,1)**2*b(1
,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)
*xi(3,3)**2*xi(2,1) + b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3 + b(3
,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1) + b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)
**3*xi(2,1) - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 - b(3,2)*b(3,1)*b(1,
1)**4*xi(4,3)**2 + b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) + b(3,2)*b
(3,1)*b(1,1)**4*xi(4,3)*xi(2,1))/(xi(4,3)*xi(2,1)*u*(b(2,1)**8*xi(4,3)**2*xi(2,1
) - b(2,1)**8*xi(4,3)*xi(2,1)**2 - b(2,1)**8*xi(4,3) + b(2,1)**8*xi(3,3)**2*xi(2
,1) + b(2,1)**8*xi(2,1) + 4*b(2,1)**6*b(1,1)**2*xi(4,3)**2*xi(2,1) - 4*b(2,1)**6
*b(1,1)**2*xi(4,3)*xi(2,1)**2 - 4*b(2,1)**6*b(1,1)**2*xi(4,3) + 4*b(2,1)**6*b(1,
1)**2*xi(3,3)**2*xi(2,1) + 4*b(2,1)**6*b(1,1)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**4
*xi(4,3)**2*xi(2,1) - 6*b(2,1)**4*b(1,1)**4*xi(4,3)*xi(2,1)**2 - 6*b(2,1)**4*b(1
,1)**4*xi(4,3) + 6*b(2,1)**4*b(1,1)**4*xi(3,3)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**
4*xi(2,1) + 4*b(2,1)**2*b(1,1)**6*xi(4,3)**2*xi(2,1) - 4*b(2,1)**2*b(1,1)**6*xi(
4,3)*xi(2,1)**2 - 4*b(2,1)**2*b(1,1)**6*xi(4,3) + 4*b(2,1)**2*b(1,1)**6*xi(3,3)
**2*xi(2,1) + 4*b(2,1)**2*b(1,1)**6*xi(2,1) + b(1,1)**8*xi(4,3)**2*xi(2,1) - b(1
,1)**8*xi(4,3)*xi(2,1)**2 - b(1,1)**8*xi(4,3) + b(1,1)**8*xi(3,3)**2*xi(2,1) + b
(1,1)**8*xi(2,1)))USD\\$

\\USD J2(5,3):=(b(6,4)*b(2,1)*xi(4,3)**3*xi(2,1)*u - b(6,4)*b(2,1)*xi(4,3)**2*xi
(2,1)**2*u - b(6,4)*b(2,1)*xi(4,3)**2*u + b(6,4)*b(2,1)*xi(4,3)*xi(3,3)**2*xi(2,
1)*u + b(6,4)*b(2,1)*xi(4,3)*xi(2,1)*u - b(5,4)*b(1,1)*xi(4,3)**3*xi(2,1)*u + b(
5,4)*b(1,1)*xi(4,3)**2*xi(2,1)**2*u + b(5,4)*b(1,1)*xi(4,3)**2*u - b(5,4)*b(1,1)
*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(5,4)*b(1,1)*xi(4,3)*xi(2,1)*u - b(4,2)*b(2,1)
**2*xi(4,3)**2 + 2*b(4,2)*b(2,1)**2*xi(4,3)*xi(2,1) - b(4,2)*b(2,1)**2*xi(3,3)**
2*xi(2,1)**2 - b(4,2)*b(2,1)**2*xi(2,1)**2 - 2*b(4,2)*b(2,1)*b(1,1)*xi(4,3)*xi(3
,3)*xi(2,1)**2 + 2*b(4,2)*b(2,1)*b(1,1)*xi(4,3)*xi(3,3) - b(4,2)*b(1,1)**2*xi(4,
3)**2*xi(2,1)**2 + 2*b(4,2)*b(1,1)**2*xi(4,3)*xi(2,1) - b(4,2)*b(1,1)**2*xi(3,3)
**2 - b(4,2)*b(1,1)**2 + b(4,1)*b(2,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u - 2*b(4,1
)*b(2,1)**2*xi(4,3)*xi(3,3)*u + b(4,1)*b(2,1)**2*xi(3,3)**3*xi(2,1)*u + b(4,1)*b
(2,1)**2*xi(3,3)*xi(2,1)*u + b(4,1)*b(2,1)*b(1,1)*xi(4,3)**2*xi(2,1)**2*u - b(4,
1)*b(2,1)*b(1,1)*xi(4,3)**2*u - b(4,1)*b(2,1)*b(1,1)*xi(3,3)**2*xi(2,1)**2*u + b
(4,1)*b(2,1)*b(1,1)*xi(3,3)**2*u - b(4,1)*b(2,1)*b(1,1)*xi(2,1)**2*u + b(4,1)*b(
2,1)*b(1,1)*u + b(4,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u - 2*b(4,1)*b(1,1)
**2*xi(4,3)*xi(3,3)*xi(2,1)**2*u + b(4,1)*b(1,1)**2*xi(3,3)**3*xi(2,1)*u + b(4,1
)*b(1,1)**2*xi(3,3)*xi(2,1)*u + b(3,2)*b(2,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) - 2*
b(3,2)*b(2,1)**2*xi(4,3)*xi(3,3) + b(3,2)*b(2,1)**2*xi(3,3)**3*xi(2,1) + b(3,2)*
b(2,1)**2*xi(3,3)*xi(2,1) + b(3,2)*b(2,1)*b(1,1)*xi(4,3)**2*xi(2,1)**2 - b(3,2)*
b(2,1)*b(1,1)*xi(4,3)**2 - b(3,2)*b(2,1)*b(1,1)*xi(3,3)**2*xi(2,1)**2 + b(3,2)*b
(2,1)*b(1,1)*xi(3,3)**2 - b(3,2)*b(2,1)*b(1,1)*xi(2,1)**2 + b(3,2)*b(2,1)*b(1,1)
 + b(3,2)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) - 2*b(3,2)*b(1,1)**2*xi(4,3)*xi(3
,3)*xi(2,1)**2 + b(3,2)*b(1,1)**2*xi(3,3)**3*xi(2,1) + b(3,2)*b(1,1)**2*xi(3,3)*
xi(2,1) + b(3,1)*b(2,1)**2*xi(4,3)**2*u - 2*b(3,1)*b(2,1)**2*xi(4,3)*xi(2,1)*u +
 b(3,1)*b(2,1)**2*xi(3,3)**2*xi(2,1)**2*u + b(3,1)*b(2,1)**2*xi(2,1)**2*u + 2*b(
3,1)*b(2,1)*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1)**2*u - 2*b(3,1)*b(2,1)*b(1,1)*xi(4,3)
*xi(3,3)*u + b(3,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u - 2*b(3,1)*b(1,1)**2*xi(4,
3)*xi(2,1)*u + b(3,1)*b(1,1)**2*xi(3,3)**2*u + b(3,1)*b(1,1)**2*u)/(u*(b(2,1)**4
*xi(4,3)**2*xi(2,1) - b(2,1)**4*xi(4,3)*xi(2,1)**2 - b(2,1)**4*xi(4,3) + b(2,1)
**4*xi(3,3)**2*xi(2,1) + b(2,1)**4*xi(2,1) + 2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi
(2,1) - 2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**2 - 2*b(2,1)**2*b(1,1)**2*xi(4,3)
 + 2*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(2,1) + 2*b(2,1)**2*b(1,1)**2*xi(2,1) + b(
1,1)**4*xi(4,3)**2*xi(2,1) - b(1,1)**4*xi(4,3)*xi(2,1)**2 - b(1,1)**4*xi(4,3) + 
b(1,1)**4*xi(3,3)**2*xi(2,1) + b(1,1)**4*xi(2,1)))USD\\$

\\USD J2(5,4):=(b(6,4)*b(2,1)*xi(4,3)**3*xi(3,3)*xi(2,1) - 2*b(6,4)*b(2,1)*xi(4,
3)**2*xi(3,3)*xi(2,1)**2 + b(6,4)*b(2,1)*xi(4,3)*xi(3,3)**3*xi(2,1) + b(6,4)*b(2
,1)*xi(4,3)*xi(3,3)*xi(2,1) - b(6,4)*b(1,1)*xi(4,3)**3*xi(2,1)**2 + 2*b(6,4)*b(1
,1)*xi(4,3)**2*xi(2,1) - b(6,4)*b(1,1)*xi(4,3)*xi(3,3)**2 - b(6,4)*b(1,1)*xi(4,3
) - b(5,4)*b(2,1)*xi(4,3)**3 + 2*b(5,4)*b(2,1)*xi(4,3)**2*xi(2,1) - b(5,4)*b(2,1
)*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - b(5,4)*b(2,1)*xi(4,3)*xi(2,1)**2 - b(5,4)*b(1,
1)*xi(4,3)**3*xi(3,3)*xi(2,1) + 2*b(5,4)*b(1,1)*xi(4,3)**2*xi(3,3) - b(5,4)*b(1,
1)*xi(4,3)*xi(3,3)**3*xi(2,1) - b(5,4)*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1) + b(4,1)*b
(2,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1) + b(4,1)*b(2,1)**2*xi(4,3)**2*xi(2,1) - b
(4,1)*b(2,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - b(4,1)*b(2,1)**2*xi(4,3)*xi(3,3)
**2 - b(4,1)*b(2,1)**2*xi(4,3)*xi(2,1)**2 - b(4,1)*b(2,1)**2*xi(4,3) + b(4,1)*b(
2,1)**2*xi(3,3)**4*xi(2,1) + 2*b(4,1)*b(2,1)**2*xi(3,3)**2*xi(2,1) + b(4,1)*b(2,
1)**2*xi(2,1) + b(4,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1) + b(4,1)*b(1,1)**
2*xi(4,3)**2*xi(2,1) - b(4,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**2 - b(4,1)*b
(1,1)**2*xi(4,3)*xi(3,3)**2 - b(4,1)*b(1,1)**2*xi(4,3)*xi(2,1)**2 - b(4,1)*b(1,1
)**2*xi(4,3) + b(4,1)*b(1,1)**2*xi(3,3)**4*xi(2,1) + 2*b(4,1)*b(1,1)**2*xi(3,3)
**2*xi(2,1) + b(4,1)*b(1,1)**2*xi(2,1) + b(3,2)*b(2,1)**2*xi(4,3)**2*xi(3,3)**2*
xi(2,1)*u + b(3,2)*b(2,1)**2*xi(4,3)**2*xi(2,1)*u - b(3,2)*b(2,1)**2*xi(4,3)*xi(
3,3)**2*xi(2,1)**2*u - b(3,2)*b(2,1)**2*xi(4,3)*xi(3,3)**2*u - b(3,2)*b(2,1)**2*
xi(4,3)*xi(2,1)**2*u - b(3,2)*b(2,1)**2*xi(4,3)*u + b(3,2)*b(2,1)**2*xi(3,3)**4*
xi(2,1)*u + 2*b(3,2)*b(2,1)**2*xi(3,3)**2*xi(2,1)*u + b(3,2)*b(2,1)**2*xi(2,1)*u
 + b(3,2)*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)*u + b(3,2)*b(1,1)**2*xi(4,3)**
2*xi(2,1)*u - b(3,2)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**2*u - b(3,2)*b(1,1)**
2*xi(4,3)*xi(3,3)**2*u - b(3,2)*b(1,1)**2*xi(4,3)*xi(2,1)**2*u - b(3,2)*b(1,1)**
2*xi(4,3)*u + b(3,2)*b(1,1)**2*xi(3,3)**4*xi(2,1)*u + 2*b(3,2)*b(1,1)**2*xi(3,3)
**2*xi(2,1)*u + b(3,2)*b(1,1)**2*xi(2,1)*u)/(xi(4,3)*u*(b(2,1)**4*xi(4,3)**2*xi(
2,1) - b(2,1)**4*xi(4,3)*xi(2,1)**2 - b(2,1)**4*xi(4,3) + b(2,1)**4*xi(3,3)**2*
xi(2,1) + b(2,1)**4*xi(2,1) + 2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1) - 2*b(2,1
)**2*b(1,1)**2*xi(4,3)*xi(2,1)**2 - 2*b(2,1)**2*b(1,1)**2*xi(4,3) + 2*b(2,1)**2*
b(1,1)**2*xi(3,3)**2*xi(2,1) + 2*b(2,1)**2*b(1,1)**2*xi(2,1) + b(1,1)**4*xi(4,3)
**2*xi(2,1) - b(1,1)**4*xi(4,3)*xi(2,1)**2 - b(1,1)**4*xi(4,3) + b(1,1)**4*xi(3,
3)**2*xi(2,1) + b(1,1)**4*xi(2,1)))USD\\$

\\USD J2(5,5):=( - b(2,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 + b(2,1)**2*xi(4,3)*xi(3
,3) - b(2,1)*b(1,1)*xi(4,3)**2*xi(2,1)**2 + b(2,1)*b(1,1)*xi(4,3)**2 + b(2,1)*b(
1,1)*xi(3,3)**2*xi(2,1)**2 - b(2,1)*b(1,1)*xi(3,3)**2 + b(2,1)*b(1,1)*xi(2,1)**2
 - b(2,1)*b(1,1) + b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(1,1)**2*xi(4,3)*xi(3
,3))/(b(2,1)**2*xi(4,3)**2*xi(2,1) - b(2,1)**2*xi(4,3)*xi(2,1)**2 - b(2,1)**2*xi
(4,3) + b(2,1)**2*xi(3,3)**2*xi(2,1) + b(2,1)**2*xi(2,1) + b(1,1)**2*xi(4,3)**2*
xi(2,1) - b(1,1)**2*xi(4,3)*xi(2,1)**2 - b(1,1)**2*xi(4,3) + b(1,1)**2*xi(3,3)**
2*xi(2,1) + b(1,1)**2*xi(2,1))USD\\$

\\USD J2(5,6):=( - b(2,1)**2*xi(4,3)**2 + 2*b(2,1)**2*xi(4,3)*xi(2,1) - b(2,1)**
2*xi(3,3)**2*xi(2,1)**2 - b(2,1)**2*xi(2,1)**2 - 2*b(2,1)*b(1,1)*xi(4,3)*xi(3,3)
*xi(2,1)**2 + 2*b(2,1)*b(1,1)*xi(4,3)*xi(3,3) - b(1,1)**2*xi(4,3)**2*xi(2,1)**2 
+ 2*b(1,1)**2*xi(4,3)*xi(2,1) - b(1,1)**2*xi(3,3)**2 - b(1,1)**2)/(u*(b(2,1)**2*
xi(4,3)**2*xi(2,1) - b(2,1)**2*xi(4,3)*xi(2,1)**2 - b(2,1)**2*xi(4,3) + b(2,1)**
2*xi(3,3)**2*xi(2,1) + b(2,1)**2*xi(2,1) + b(1,1)**2*xi(4,3)**2*xi(2,1) - b(1,1)
**2*xi(4,3)*xi(2,1)**2 - b(1,1)**2*xi(4,3) + b(1,1)**2*xi(3,3)**2*xi(2,1) + b(1,
1)**2*xi(2,1)))USD\\$

\\USD J2(6,1):=( - b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1) + b(6,4)*b(
4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**2 + b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(
4,3)**2 - b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1) - b(6,4)*b(4
,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1) - b(6,4)*b(4,2)*b(1,1)**3*xi(4,3)**3*xi(2,1
)**3 + b(6,4)*b(4,2)*b(1,1)**3*xi(4,3)**2*xi(2,1)**4 + b(6,4)*b(4,2)*b(1,1)**3*
xi(4,3)**2*xi(2,1)**2 - b(6,4)*b(4,2)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - 
b(6,4)*b(4,2)*b(1,1)**3*xi(4,3)*xi(2,1)**3 + b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4
,3)**3*xi(3,3)*xi(2,1)**2*u - b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*
xi(2,1)**3*u - b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(6
,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u + b(6,4)*b(4,1)*b(2,
1)**2*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1)**2*u + b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,
3)**3*xi(2,1)**3*u - b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - b(6,4
)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)**4*u + b(6,4)*b(4,1)*b(2,1)*b(1,1)
**2*xi(4,3)**2*u + b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3*
u - b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(6,4)*b(4,1)*
b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1)**3*u - b(6,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*
xi(2,1)*u + b(6,4)*b(4,1)*b(1,1)**3*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u - b(6,4)*b(4
,1)*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u - b(6,4)*b(4,1)*b(1,1)**3*xi(4,3)
**2*xi(3,3)*xi(2,1)*u + b(6,4)*b(4,1)*b(1,1)**3*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u 
+ b(6,4)*b(4,1)*b(1,1)**3*xi(4,3)*xi(3,3)*xi(2,1)**2*u - b(6,4)*b(3,1)*b(2,1)**2
*b(1,1)*xi(4,3)**4*xi(2,1)**2*u + b(6,4)*b(3,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2
,1)**3*u + b(6,4)*b(3,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)*u - b(6,4)*b(3,1)*b
(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u - b(6,4)*b(3,1)*b(2,1)**2*b(1
,1)*xi(4,3)**2*xi(2,1)**2*u - b(6,4)*b(3,1)*b(1,1)**3*xi(4,3)**4*xi(2,1)**2*u + 
b(6,4)*b(3,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)**3*u + b(6,4)*b(3,1)*b(1,1)**3*xi(4,3
)**3*xi(2,1)*u - b(6,4)*b(3,1)*b(1,1)**3*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u - b(
6,4)*b(3,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**2*u + b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)
**3*xi(2,1) - b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**2 - b(6,2)*b(2,1)**4*b
(1,1)*xi(4,3)**2 + b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1) + b(6,2)*b
(2,1)**4*b(1,1)*xi(4,3)*xi(2,1) + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1)
**3 + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1) - b(6,2)*b(2,1)**2*b(1,1)**3
*xi(4,3)**2*xi(2,1)**4 - 2*b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)**2 - b(
6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2 + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)
**2*xi(2,1)**3 + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1) + b(6,2)*
b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)**3 + b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2
,1) + b(6,2)*b(1,1)**5*xi(4,3)**3*xi(2,1)**3 - b(6,2)*b(1,1)**5*xi(4,3)**2*xi(2,
1)**4 - b(6,2)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2 + b(6,2)*b(1,1)**5*xi(4,3)*xi(3,3
)**2*xi(2,1)**3 + b(6,2)*b(1,1)**5*xi(4,3)*xi(2,1)**3 + b(6,1)*b(2,1)**5*xi(4,3)
**3*xi(2,1)**3*u - 2*b(6,1)*b(2,1)**5*xi(4,3)**2*xi(2,1)**2*u + b(6,1)*b(2,1)**5
*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(6,1)*b(2,1)**5*xi(4,3)*xi(2,1)*u - b(6,1)*b(2,
1)**4*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(6,1)*b(2,1)**4*b(1,1)*xi(4,3)**
2*xi(3,3)*xi(2,1)*u + b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1)**3*u + b(6,1
)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1)*u + b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)
**2*xi(2,1)**4*u - 4*b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u - b(6,1)
*b(2,1)**3*b(1,1)**2*xi(4,3)**2*u - b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**
2*xi(2,1)**3*u + 3*b(6,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(6
,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)**3*u + 3*b(6,1)*b(2,1)**3*b(1,1)**2*xi(4
,3)*xi(2,1)*u - 2*b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + 2
*b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(6,1)*b(2,1)*b(1,1)
**4*xi(4,3)**3*xi(2,1)*u + b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**4*u - 2*b
(6,1)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2*u - b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)
**2*u - b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + 2*b(6,1)*b(2,1
)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)*xi(2,
1)**3*u + 2*b(6,1)*b(2,1)*b(1,1)**4*xi(4,3)*xi(2,1)*u - b(6,1)*b(1,1)**5*xi(4,3)
**2*xi(3,3)*xi(2,1)**3*u + b(6,1)*b(1,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(5,4
)*b(4,2)*b(2,1)**3*xi(4,3)**3*xi(2,1) + b(5,4)*b(4,2)*b(2,1)**3*xi(4,3)**2*xi(2,
1)**2 + b(5,4)*b(4,2)*b(2,1)**3*xi(4,3)**2 - b(5,4)*b(4,2)*b(2,1)**3*xi(4,3)*xi(
3,3)**2*xi(2,1) - b(5,4)*b(4,2)*b(2,1)**3*xi(4,3)*xi(2,1) - b(5,4)*b(4,2)*b(2,1)
*b(1,1)**2*xi(4,3)**3*xi(2,1)**3 + b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(
2,1)**4 + b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)**2 - b(5,4)*b(4,2)*b
(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*
xi(4,3)*xi(2,1)**3 + b(5,4)*b(4,1)*b(2,1)**3*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u - b
(5,4)*b(4,1)*b(2,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u - b(5,4)*b(4,1)*b(2,1)**3
*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(5,4)*b(4,1)*b(2,1)**3*xi(4,3)*xi(3,3)**3*xi(2,
1)**2*u + b(5,4)*b(4,1)*b(2,1)**3*xi(4,3)*xi(3,3)*xi(2,1)**2*u + b(5,4)*b(4,1)*b
(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)**3*u - b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)
**3*xi(2,1)*u - b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**4*u + b(5,4)*
b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*u + b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi
(3,3)**2*xi(2,1)**3*u - b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1
)*u + b(5,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1)**3*u - b(5,4)*b(4,1)*b(2,1)
**2*b(1,1)*xi(4,3)*xi(2,1)*u + b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(3,3)
*xi(2,1)**2*u - b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u -
 b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(5,4)*b(4,1)*b(2
,1)*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u + b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*
xi(4,3)*xi(3,3)*xi(2,1)**2*u - b(5,4)*b(3,1)*b(2,1)**3*xi(4,3)**4*xi(2,1)**2*u +
 b(5,4)*b(3,1)*b(2,1)**3*xi(4,3)**3*xi(2,1)**3*u + b(5,4)*b(3,1)*b(2,1)**3*xi(4,
3)**3*xi(2,1)*u - b(5,4)*b(3,1)*b(2,1)**3*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u - b
(5,4)*b(3,1)*b(2,1)**3*xi(4,3)**2*xi(2,1)**2*u - b(5,4)*b(3,1)*b(2,1)*b(1,1)**2*
xi(4,3)**4*xi(2,1)**2*u + b(5,4)*b(3,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)**3*u
 + b(5,4)*b(3,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - b(5,4)*b(3,1)*b(2,1)*b(
1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u - b(5,4)*b(3,1)*b(2,1)*b(1,1)**2*xi(4
,3)**2*xi(2,1)**2*u + b(5,2)*b(2,1)**5*xi(4,3)**3*xi(2,1) - b(5,2)*b(2,1)**5*xi(
4,3)**2*xi(2,1)**2 - b(5,2)*b(2,1)**5*xi(4,3)**2 + b(5,2)*b(2,1)**5*xi(4,3)*xi(3
,3)**2*xi(2,1) + b(5,2)*b(2,1)**5*xi(4,3)*xi(2,1) + b(5,2)*b(2,1)**3*b(1,1)**2*
xi(4,3)**3*xi(2,1)**3 + b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1) - b(5,2)*b
(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2,1)**4 - 2*b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)
**2*xi(2,1)**2 - b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2 + b(5,2)*b(2,1)**3*b(1,1)
**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**
2*xi(2,1) + b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)**3 + b(5,2)*b(2,1)**3*b(1
,1)**2*xi(4,3)*xi(2,1) + b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)**3*xi(2,1)**3 - b(5,2)*
b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**4 - b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2
,1)**2 + b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(5,2)*b(2,1)*b
(1,1)**4*xi(4,3)*xi(2,1)**3 + b(5,1)*b(2,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u -
 b(5,1)*b(2,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)
**3*xi(2,1)**3*u + b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**4*u + 2*b(5,1)*b(
2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**2*u - b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)**2*u - 
2*b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(5,1)*b(2,1)**4*b(1
,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*u - 2*b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)**3*
u + b(5,1)*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)*u + 2*b(5,1)*b(2,1)**3*b(1,1)**2*xi(
4,3)**2*xi(3,3)*xi(2,1)**3*u - 2*b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(3,3)*
xi(2,1)*u - b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1)**3*u - b(5,1)*b(2,1)**
2*b(1,1)**3*xi(4,3)**3*xi(2,1)*u + b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)
**4*u + 4*b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)**2*u - b(5,1)*b(2,1)**2*
b(1,1)**3*xi(4,3)**2*u - 3*b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)
**3*u + b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)*u - 3*b(5,1)*b(2,1
)**2*b(1,1)**3*xi(4,3)*xi(2,1)**3*u + b(5,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)
*u + b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u - b(5,1)*b(2,1)*b(1
,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(5,1)*b(1,1)**5*xi(4,3)**3*xi(2,1)*u + 2*
b(5,1)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2*u - b(5,1)*b(1,1)**5*xi(4,3)*xi(3,3)**2*
xi(2,1)**3*u - b(5,1)*b(1,1)**5*xi(4,3)*xi(2,1)**3*u - b(4,2)*b(4,1)*b(2,1)**4*
xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)**2*xi(2,1)**2
 + b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(4,2)*b(4,1)*b(2,1)
**4*xi(4,3)*xi(3,3)**2*xi(2,1) + b(4,2)*b(4,1)*b(2,1)**4*xi(4,3)*xi(2,1)**3 + b(
4,2)*b(4,1)*b(2,1)**4*xi(4,3)*xi(2,1) - b(4,2)*b(4,1)*b(2,1)**4*xi(3,3)**4*xi(2,
1)**2 - 2*b(4,2)*b(4,1)*b(2,1)**4*xi(3,3)**2*xi(2,1)**2 - b(4,2)*b(4,1)*b(2,1)**
4*xi(2,1)**2 - 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)
**2 - 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**2 + 2*b(4,2)*b(4,1
)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + 2*b(4,2)*b(4,1)*b(2,1)**2*
b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1) + 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(4,
3)*xi(2,1)**3 + 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1) - 2*b(4,2)*b
(4,1)*b(2,1)**2*b(1,1)**2*xi(3,3)**4*xi(2,1)**2 - 4*b(4,2)*b(4,1)*b(2,1)**2*b(1,
1)**2*xi(3,3)**2*xi(2,1)**2 - 2*b(4,2)*b(4,1)*b(2,1)**2*b(1,1)**2*xi(2,1)**2 - b
(4,2)*b(4,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - b(4,2)*b(4,1)*b(1,1)**
4*xi(4,3)**2*xi(2,1)**2 + b(4,2)*b(4,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 
+ b(4,2)*b(4,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) + b(4,2)*b(4,1)*b(1,1)**4*
xi(4,3)*xi(2,1)**3 + b(4,2)*b(4,1)*b(1,1)**4*xi(4,3)*xi(2,1) - b(4,2)*b(4,1)*b(1
,1)**4*xi(3,3)**4*xi(2,1)**2 - 2*b(4,2)*b(4,1)*b(1,1)**4*xi(3,3)**2*xi(2,1)**2 -
 b(4,2)*b(4,1)*b(1,1)**4*xi(2,1)**2 + b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)**3*xi(2,1)
*u - b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)**2*xi(2,1)**2*u - b(4,2)*b(3,2)*b(2,1)**4*
xi(4,3)**2*u + b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(4,2)*b(3
,2)*b(2,1)**4*xi(4,3)*xi(2,1)*u + b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*
xi(2,1)**3*u + b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - b(4,2)*b
(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**4*u - 2*b(4,2)*b(3,2)*b(2,1)**2*b(
1,1)**2*xi(4,3)**2*xi(2,1)**2*u - b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*u
 + b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(4,2)*b(
3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(4,2)*b(3,2)*b(2,1)**2*
b(1,1)**2*xi(4,3)*xi(2,1)**3*u + b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,
1)*u + b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)**3*xi(2,1)**3*u - b(4,2)*b(3,2)*b(1,1)**4
*xi(4,3)**2*xi(2,1)**4*u - b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2*u + b(4
,2)*b(3,2)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(4,2)*b(3,2)*b(1,1)**4*
xi(4,3)*xi(2,1)**3*u + b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - b
(4,2)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3 - b(4,2)*b(3,1)*b(2,1)**4*
xi(4,3)**2*xi(3,3)*xi(2,1) + b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)
**2 + b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(4,2)*b(3,1)*b(2,1)
**3*b(1,1)*xi(4,3)**3*xi(2,1)**3 + b(4,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(
2,1) + b(4,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)**2*xi(2,1)**4 - b(4,2)*b(3,1)*b(2,
1)**3*b(1,1)*xi(4,3)**2 - b(4,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2
,1)**3 + b(4,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1) - b(4,2)*b(3,
1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)**3 + b(4,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*
xi(2,1) + 2*b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - 2*
b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3 - 2*b(4,2)*b(3,1
)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) + 2*b(4,2)*b(3,1)*b(2,1)**2*b(1
,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + 2*b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,
3)*xi(3,3)*xi(2,1)**2 - b(4,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)**3 + b
(4,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1) + b(4,2)*b(3,1)*b(2,1)*b(1,1)**
3*xi(4,3)**2*xi(2,1)**4 - b(4,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**2 - b(4,2)*b(3
,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(4,2)*b(3,1)*b(2,1)*b(1,1)
**3*xi(4,3)*xi(3,3)**2*xi(2,1) - b(4,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1)
**3 + b(4,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1) + b(4,2)*b(3,1)*b(1,1)**4*
xi(4,3)**3*xi(3,3)*xi(2,1)**2 - b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,
1)**3 - b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) + b(4,2)*b(3,1)*b(1,1
)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)*xi(
2,1)**2 + b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,1)*b(
3,1)*b(2,1)**4*xi(4,3)**2*xi(2,1)**2*u - b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)
**2*xi(2,1)**3*u - b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(4,1)
*b(3,1)*b(2,1)**4*xi(4,3)*xi(2,1)**3*u - b(4,1)*b(3,1)*b(2,1)**4*xi(4,3)*xi(2,1)
*u + b(4,1)*b(3,1)*b(2,1)**4*xi(3,3)**4*xi(2,1)**2*u + 2*b(4,1)*b(3,1)*b(2,1)**4
*xi(3,3)**2*xi(2,1)**2*u + b(4,1)*b(3,1)*b(2,1)**4*xi(2,1)**2*u + 2*b(4,1)*b(3,1
)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + 2*b(4,1)*b(3,1)*b(2,1
)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u - 2*b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(
4,3)*xi(3,3)**2*xi(2,1)**3*u - 2*b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,
3)**2*xi(2,1)*u - 2*b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3*u - 2*b
(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)*u + 2*b(4,1)*b(3,1)*b(2,1)**2*b
(1,1)**2*xi(3,3)**4*xi(2,1)**2*u + 4*b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(3,3)**
2*xi(2,1)**2*u + 2*b(4,1)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(2,1)**2*u + b(4,1)*b(3,1
)*b(1,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)
**2*xi(2,1)**2*u - b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(4
,1)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(4,1)*b(3,1)*b(1,1)**4*xi(4
,3)*xi(2,1)**3*u - b(4,1)*b(3,1)*b(1,1)**4*xi(4,3)*xi(2,1)*u + b(4,1)*b(3,1)*b(1
,1)**4*xi(3,3)**4*xi(2,1)**2*u + 2*b(4,1)*b(3,1)*b(1,1)**4*xi(3,3)**2*xi(2,1)**2
*u + b(4,1)*b(3,1)*b(1,1)**4*xi(2,1)**2*u - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**3*
xi(2,1) + b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(2,1)**2 + b(3,2)*b(3,1)*b(2,1)**
4*xi(4,3)**2 - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) - b(3,2)*b(3,1
)*b(2,1)**4*xi(4,3)*xi(2,1) - b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,
1)**3 - b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1) + b(3,2)*b(3,1)*b(2
,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**4 + 2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(
4,3)**2*xi(2,1)**2 + b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2 - b(3,2)*b(3,1
)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(3,2)*b(3,1)*b(2,1)**2*b(
1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1) - b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*
xi(2,1)**3 - b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1) - b(3,2)*b(3,1)*b
(1,1)**4*xi(4,3)**3*xi(2,1)**3 + b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**4 +
 b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)
*xi(3,3)**2*xi(2,1)**3 - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(2,1)**3 - b(3,1)**2*
b(2,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u + b(3,1)**2*b(2,1)**4*xi(4,3)**2*xi(3,
3)*xi(2,1)**3*u + b(3,1)**2*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(3,1)**2*b
(2,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - b(3,1)**2*b(2,1)**4*xi(4,3)*xi(3,3)*
xi(2,1)**2*u + b(3,1)**2*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)**3*u - b(3,1)**2*b(
2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)*u - b(3,1)**2*b(2,1)**3*b(1,1)*xi(4,3)**2*xi(2
,1)**4*u + b(3,1)**2*b(2,1)**3*b(1,1)*xi(4,3)**2*u + b(3,1)**2*b(2,1)**3*b(1,1)*
xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(3,1)**2*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*
xi(2,1)*u + b(3,1)**2*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)**3*u - b(3,1)**2*b(2,1)**
3*b(1,1)*xi(4,3)*xi(2,1)*u - 2*b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(3,3)*
xi(2,1)**2*u + 2*b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u +
 2*b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u - 2*b(3,1)**2*b(2,
1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - 2*b(3,1)**2*b(2,1)**2*b(1,1)**
2*xi(4,3)*xi(3,3)*xi(2,1)**2*u + b(3,1)**2*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)**
3*u - b(3,1)**2*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)*u - b(3,1)**2*b(2,1)*b(1,1)
**3*xi(4,3)**2*xi(2,1)**4*u + b(3,1)**2*b(2,1)*b(1,1)**3*xi(4,3)**2*u + b(3,1)**
2*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(3,1)**2*b(2,1)*b(1,1)**3*
xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(3,1)**2*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1)**3*u -
 b(3,1)**2*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1)*u - b(3,1)**2*b(1,1)**4*xi(4,3)**3*
xi(3,3)*xi(2,1)**2*u + b(3,1)**2*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(3
,1)**2*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(3,1)**2*b(1,1)**4*xi(4,3)*xi(3
,3)**3*xi(2,1)**2*u - b(3,1)**2*b(1,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2*u)/(xi(4,3)
*xi(2,1)*u*(b(2,1)**8*xi(4,3)**2*xi(2,1) - b(2,1)**8*xi(4,3)*xi(2,1)**2 - b(2,1)
**8*xi(4,3) + b(2,1)**8*xi(3,3)**2*xi(2,1) + b(2,1)**8*xi(2,1) + 4*b(2,1)**6*b(1
,1)**2*xi(4,3)**2*xi(2,1) - 4*b(2,1)**6*b(1,1)**2*xi(4,3)*xi(2,1)**2 - 4*b(2,1)
**6*b(1,1)**2*xi(4,3) + 4*b(2,1)**6*b(1,1)**2*xi(3,3)**2*xi(2,1) + 4*b(2,1)**6*b
(1,1)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**4*xi(4,3)**2*xi(2,1) - 6*b(2,1)**4*b(1,1)
**4*xi(4,3)*xi(2,1)**2 - 6*b(2,1)**4*b(1,1)**4*xi(4,3) + 6*b(2,1)**4*b(1,1)**4*
xi(3,3)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**4*xi(2,1) + 4*b(2,1)**2*b(1,1)**6*xi(4,
3)**2*xi(2,1) - 4*b(2,1)**2*b(1,1)**6*xi(4,3)*xi(2,1)**2 - 4*b(2,1)**2*b(1,1)**6
*xi(4,3) + 4*b(2,1)**2*b(1,1)**6*xi(3,3)**2*xi(2,1) + 4*b(2,1)**2*b(1,1)**6*xi(2
,1) + b(1,1)**8*xi(4,3)**2*xi(2,1) - b(1,1)**8*xi(4,3)*xi(2,1)**2 - b(1,1)**8*xi
(4,3) + b(1,1)**8*xi(3,3)**2*xi(2,1) + b(1,1)**8*xi(2,1)))USD\\$

\\USD J2(6,2):=(b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u -
 b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u - b(6,4)*b(4,2)*
b(2,1)**2*b(1,1)*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*
xi(4,3)*xi(3,3)**3*xi(2,1)**2*u + b(6,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)
*xi(2,1)**2*u - b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)**3*u + b(6,4)*
b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)*u + b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi
(4,3)**2*xi(2,1)**4*u - b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*u - b(6,4)*b(4
,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u + b(6,4)*b(4,2)*b(2,1)*b(1,
1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2
,1)**3*u + b(6,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1)*u + b(6,4)*b(4,2)*b(1,
1)**3*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u - b(6,4)*b(4,2)*b(1,1)**3*xi(4,3)**2*xi(3,
3)*xi(2,1)**3*u - b(6,4)*b(4,2)*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(6,4)*
b(4,2)*b(1,1)**3*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u + b(6,4)*b(4,2)*b(1,1)**3*xi(4,
3)*xi(3,3)*xi(2,1)**2*u + b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)**3 -
 b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**4 - b(6,4)*b(4,1)*b(2,1)**2*
b(1,1)*xi(4,3)**2*xi(2,1)**2 + b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2
*xi(2,1)**3 + b(6,4)*b(4,1)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1)**3 + b(6,4)*b(4,1)*
b(1,1)**3*xi(4,3)**3*xi(2,1) - b(6,4)*b(4,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**2 - b
(6,4)*b(4,1)*b(1,1)**3*xi(4,3)**2 + b(6,4)*b(4,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*
xi(2,1) + b(6,4)*b(4,1)*b(1,1)**3*xi(4,3)*xi(2,1) - b(6,4)*b(3,2)*b(2,1)**2*b(1,
1)*xi(4,3)**4*xi(2,1)**2*u + b(6,4)*b(3,2)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)**
3*u + b(6,4)*b(3,2)*b(2,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)*u - b(6,4)*b(3,2)*b(2,1)
**2*b(1,1)*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u - b(6,4)*b(3,2)*b(2,1)**2*b(1,1)*
xi(4,3)**2*xi(2,1)**2*u - b(6,4)*b(3,2)*b(1,1)**3*xi(4,3)**4*xi(2,1)**2*u + b(6,
4)*b(3,2)*b(1,1)**3*xi(4,3)**3*xi(2,1)**3*u + b(6,4)*b(3,2)*b(1,1)**3*xi(4,3)**3
*xi(2,1)*u - b(6,4)*b(3,2)*b(1,1)**3*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u - b(6,4)
*b(3,2)*b(1,1)**3*xi(4,3)**2*xi(2,1)**2*u + b(6,2)*b(2,1)**5*xi(4,3)**3*xi(2,1)
**3*u - 2*b(6,2)*b(2,1)**5*xi(4,3)**2*xi(2,1)**2*u + b(6,2)*b(2,1)**5*xi(4,3)*xi
(3,3)**2*xi(2,1)*u + b(6,2)*b(2,1)**5*xi(4,3)*xi(2,1)*u - b(6,2)*b(2,1)**4*b(1,1
)*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(6,2)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(3,3)*
xi(2,1)*u + 3*b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1)**3*u - b(6,2)*b(2,1)
**3*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2,
1)**4*u - 4*b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u + b(6,2)*b(2,1)**
3*b(1,1)**2*xi(4,3)**2*u + b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)
**3*u + b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(6,2)*b(2,1)
**3*b(1,1)**2*xi(4,3)*xi(2,1)**3*u + b(6,2)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)*
u - 2*b(6,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + 2*b(6,2)*b(2,
1)**2*b(1,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)*u + 2*b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)
**3*xi(2,1)**3*u - b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)**3*xi(2,1)*u - b(6,2)*b(2,1)*
b(1,1)**4*xi(4,3)**2*xi(2,1)**4*u - 2*b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)
**2*u + b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*u + b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)*
xi(3,3)**2*xi(2,1)**3*u + b(6,2)*b(2,1)*b(1,1)**4*xi(4,3)*xi(2,1)**3*u - b(6,2)*
b(1,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(6,2)*b(1,1)**5*xi(4,3)**2*xi(3,3)*
xi(2,1)*u - b(6,1)*b(2,1)**4*b(1,1)*xi(4,3)**3*xi(2,1)**3 + b(6,1)*b(2,1)**4*b(1
,1)*xi(4,3)**2*xi(2,1)**4 + b(6,1)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**2 - b(6,
1)*b(2,1)**4*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(6,1)*b(2,1)**4*b(1,1)*xi(4
,3)*xi(2,1)**3 - b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1)**3 - b(6,1)*b(2,1
)**2*b(1,1)**3*xi(4,3)**3*xi(2,1) + b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1
)**4 + 2*b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)**2 + b(6,1)*b(2,1)**2*b(1
,1)**3*xi(4,3)**2 - b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b
(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1) - b(6,1)*b(2,1)**2*b(1,1)**
3*xi(4,3)*xi(2,1)**3 - b(6,1)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1) - b(6,1)*b(1,1
)**5*xi(4,3)**3*xi(2,1) + b(6,1)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2 + b(6,1)*b(1,1)
**5*xi(4,3)**2 - b(6,1)*b(1,1)**5*xi(4,3)*xi(3,3)**2*xi(2,1) - b(6,1)*b(1,1)**5*
xi(4,3)*xi(2,1) + b(5,4)*b(4,2)*b(2,1)**3*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u - b(5,
4)*b(4,2)*b(2,1)**3*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u - b(5,4)*b(4,2)*b(2,1)**3*xi
(4,3)**2*xi(3,3)*xi(2,1)*u + b(5,4)*b(4,2)*b(2,1)**3*xi(4,3)*xi(3,3)**3*xi(2,1)
**2*u + b(5,4)*b(4,2)*b(2,1)**3*xi(4,3)*xi(3,3)*xi(2,1)**2*u - b(5,4)*b(4,2)*b(2
,1)**2*b(1,1)*xi(4,3)**3*xi(2,1)**3*u + b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**
3*xi(2,1)*u + b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*xi(2,1)**4*u - b(5,4)*b(
4,2)*b(2,1)**2*b(1,1)*xi(4,3)**2*u - b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3
,3)**2*xi(2,1)**3*u + b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*
u - b(5,4)*b(4,2)*b(2,1)**2*b(1,1)*xi(4,3)*xi(2,1)**3*u + b(5,4)*b(4,2)*b(2,1)**
2*b(1,1)*xi(4,3)*xi(2,1)*u + b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(3,3)*
xi(2,1)**2*u - b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u - 
b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(5,4)*b(4,2)*b(2,
1)*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u + b(5,4)*b(4,2)*b(2,1)*b(1,1)**2*xi
(4,3)*xi(3,3)*xi(2,1)**2*u + b(5,4)*b(4,1)*b(2,1)**3*xi(4,3)**3*xi(2,1)**3 - b(5
,4)*b(4,1)*b(2,1)**3*xi(4,3)**2*xi(2,1)**4 - b(5,4)*b(4,1)*b(2,1)**3*xi(4,3)**2*
xi(2,1)**2 + b(5,4)*b(4,1)*b(2,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(5,4)*b(4,
1)*b(2,1)**3*xi(4,3)*xi(2,1)**3 + b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2
,1) - b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)**2 - b(5,4)*b(4,1)*b(2,1
)*b(1,1)**2*xi(4,3)**2 + b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,
1) + b(5,4)*b(4,1)*b(2,1)*b(1,1)**2*xi(4,3)*xi(2,1) - b(5,4)*b(3,2)*b(2,1)**3*xi
(4,3)**4*xi(2,1)**2*u + b(5,4)*b(3,2)*b(2,1)**3*xi(4,3)**3*xi(2,1)**3*u + b(5,4)
*b(3,2)*b(2,1)**3*xi(4,3)**3*xi(2,1)*u - b(5,4)*b(3,2)*b(2,1)**3*xi(4,3)**2*xi(3
,3)**2*xi(2,1)**2*u - b(5,4)*b(3,2)*b(2,1)**3*xi(4,3)**2*xi(2,1)**2*u - b(5,4)*b
(3,2)*b(2,1)*b(1,1)**2*xi(4,3)**4*xi(2,1)**2*u + b(5,4)*b(3,2)*b(2,1)*b(1,1)**2*
xi(4,3)**3*xi(2,1)**3*u + b(5,4)*b(3,2)*b(2,1)*b(1,1)**2*xi(4,3)**3*xi(2,1)*u - 
b(5,4)*b(3,2)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u - b(5,4)*b(3,2
)*b(2,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)**2*u + b(5,2)*b(2,1)**5*xi(4,3)**2*xi(3,3)
*xi(2,1)**3*u - b(5,2)*b(2,1)**5*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(5,2)*b(2,1)**4
*b(1,1)*xi(4,3)**3*xi(2,1)**3*u - 2*b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)**3*xi(2,1)*u
 - b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)**2*xi(2,1)**4*u + 2*b(5,2)*b(2,1)**4*b(1,1)*
xi(4,3)**2*xi(2,1)**2*u + b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)**2*u - b(5,2)*b(2,1)**
4*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(5,2)*b(2,1)**4*b(1,1)*xi(4,3)*xi(2,1)*
u + 2*b(5,2)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u - 2*b(5,2)*b(2,
1)**3*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u + b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3
)**3*xi(2,1)**3*u - 3*b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**3*xi(2,1)*u - b(5,2)*b
(2,1)**2*b(1,1)**3*xi(4,3)**2*xi(2,1)**4*u + 4*b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3
)**2*xi(2,1)**2*u + b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)**2*u - b(5,2)*b(2,1)**2*b
(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi
(3,3)**2*xi(2,1)*u - b(5,2)*b(2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)**3*u - b(5,2)*b(
2,1)**2*b(1,1)**3*xi(4,3)*xi(2,1)*u + b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)
*xi(2,1)**3*u - b(5,2)*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)*u - b(5,2)*b(
1,1)**5*xi(4,3)**3*xi(2,1)*u + 2*b(5,2)*b(1,1)**5*xi(4,3)**2*xi(2,1)**2*u - b(5,
2)*b(1,1)**5*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(5,2)*b(1,1)**5*xi(4,3)*xi(2,1)
**3*u - b(5,1)*b(2,1)**5*xi(4,3)**3*xi(2,1)**3 + b(5,1)*b(2,1)**5*xi(4,3)**2*xi(
2,1)**4 + b(5,1)*b(2,1)**5*xi(4,3)**2*xi(2,1)**2 - b(5,1)*b(2,1)**5*xi(4,3)*xi(3
,3)**2*xi(2,1)**3 - b(5,1)*b(2,1)**5*xi(4,3)*xi(2,1)**3 - b(5,1)*b(2,1)**3*b(1,1
)**2*xi(4,3)**3*xi(2,1)**3 - b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**3*xi(2,1) + b(5
,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2*xi(2,1)**4 + 2*b(5,1)*b(2,1)**3*b(1,1)**2*xi(
4,3)**2*xi(2,1)**2 + b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)**2 - b(5,1)*b(2,1)**3*b(
1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(3,
3)**2*xi(2,1) - b(5,1)*b(2,1)**3*b(1,1)**2*xi(4,3)*xi(2,1)**3 - b(5,1)*b(2,1)**3
*b(1,1)**2*xi(4,3)*xi(2,1) - b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)**3*xi(2,1) + b(5,1)
*b(2,1)*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 + b(5,1)*b(2,1)*b(1,1)**4*xi(4,3)**2 - b
(5,1)*b(2,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) - b(5,1)*b(2,1)*b(1,1)**4*xi(4
,3)*xi(2,1) - b(4,2)**2*b(2,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2 - b(4,2)**2*b
(2,1)**4*xi(4,3)**2*xi(2,1)**2 + b(4,2)**2*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)
**3 + b(4,2)**2*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) + b(4,2)**2*b(2,1)**4*xi(4,
3)*xi(2,1)**3 + b(4,2)**2*b(2,1)**4*xi(4,3)*xi(2,1) - b(4,2)**2*b(2,1)**4*xi(3,3
)**4*xi(2,1)**2 - 2*b(4,2)**2*b(2,1)**4*xi(3,3)**2*xi(2,1)**2 - b(4,2)**2*b(2,1)
**4*xi(2,1)**2 - 2*b(4,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**
2 - 2*b(4,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**2 + 2*b(4,2)**2*b(2,1)**
2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + 2*b(4,2)**2*b(2,1)**2*b(1,1)**2*xi(4
,3)*xi(3,3)**2*xi(2,1) + 2*b(4,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3 + 2*
b(4,2)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1) - 2*b(4,2)**2*b(2,1)**2*b(1,1)**2*
xi(3,3)**4*xi(2,1)**2 - 4*b(4,2)**2*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(2,1)**2 - 
2*b(4,2)**2*b(2,1)**2*b(1,1)**2*xi(2,1)**2 - b(4,2)**2*b(1,1)**4*xi(4,3)**2*xi(3
,3)**2*xi(2,1)**2 - b(4,2)**2*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 + b(4,2)**2*b(1,1)
**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(4,2)**2*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,
1) + b(4,2)**2*b(1,1)**4*xi(4,3)*xi(2,1)**3 + b(4,2)**2*b(1,1)**4*xi(4,3)*xi(2,1
) - b(4,2)**2*b(1,1)**4*xi(3,3)**4*xi(2,1)**2 - 2*b(4,2)**2*b(1,1)**4*xi(3,3)**2
*xi(2,1)**2 - b(4,2)**2*b(1,1)**4*xi(2,1)**2 + b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)**
3*xi(3,3)*xi(2,1)**2 - b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3 - b
(4,2)*b(3,2)*b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) + b(4,2)*b(3,2)*b(2,1)**4*xi(4
,3)*xi(3,3)**3*xi(2,1)**2 + b(4,2)*b(3,2)*b(2,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2 +
 b(4,2)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)**3 - b(4,2)*b(3,2)*b(2,1)**3*
b(1,1)*xi(4,3)**3*xi(2,1) - b(4,2)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)**2*xi(2,1)**4
 + b(4,2)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)**2 + b(4,2)*b(3,2)*b(2,1)**3*b(1,1)*xi
(4,3)*xi(3,3)**2*xi(2,1)**3 - b(4,2)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*
xi(2,1) + b(4,2)*b(3,2)*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)**3 - b(4,2)*b(3,2)*b(2,
1)**3*b(1,1)*xi(4,3)*xi(2,1) + 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi
(3,3)*xi(2,1)**2 - 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1
)**3 - 2*b(4,2)*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1) + 2*b(4,2)
*b(3,2)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + 2*b(4,2)*b(3,2)*b(2,
1)**2*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 + b(4,2)*b(3,2)*b(2,1)*b(1,1)**3*xi(4
,3)**3*xi(2,1)**3 - b(4,2)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1) - b(4,2)*b
(3,2)*b(2,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**4 + b(4,2)*b(3,2)*b(2,1)*b(1,1)**3*xi
(4,3)**2 + b(4,2)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3 - b(4,2)
*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1) + b(4,2)*b(3,2)*b(2,1)*b(1,1
)**3*xi(4,3)*xi(2,1)**3 - b(4,2)*b(3,2)*b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1) + b(4,2
)*b(3,2)*b(1,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2 - b(4,2)*b(3,2)*b(1,1)**4*xi(4,
3)**2*xi(3,3)*xi(2,1)**3 - b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1) + 
b(4,2)*b(3,2)*b(1,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2 + b(4,2)*b(3,2)*b(1,1)**4*
xi(4,3)*xi(3,3)*xi(2,1)**2 - b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)**3*xi(2,1)**3*u + b
(4,2)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,2)*b(3,1)*b(2,1)
**4*xi(4,3)**2*xi(2,1)**4*u + 2*b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)**2*xi(2,1)**2*u 
- 2*b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - b(4,2)*b(3,1)*b(2,
1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)*u - 2*b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(2,1)**
3*u - b(4,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(2,1)*u + b(4,2)*b(3,1)*b(2,1)**4*xi(3,3
)**4*xi(2,1)**2*u + 2*b(4,2)*b(3,1)*b(2,1)**4*xi(3,3)**2*xi(2,1)**2*u + b(4,2)*b
(3,1)*b(2,1)**4*xi(2,1)**2*u - b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2
,1)**3*u - b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1)*u + 2*b(4,2)*b(3
,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + b(4,2)*b(3,1)*b(2,1
)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**4*u + 4*b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(
4,3)**2*xi(2,1)**2*u + b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*u - 3*b(4,2)
*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - 3*b(4,2)*b(3,1)*b(
2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)*u - 3*b(4,2)*b(3,1)*b(2,1)**2*b(1,1
)**2*xi(4,3)*xi(2,1)**3*u - 3*b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)*
u + 2*b(4,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(3,3)**4*xi(2,1)**2*u + 4*b(4,2)*b(3,1
)*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(2,1)**2*u + 2*b(4,2)*b(3,1)*b(2,1)**2*b(1,1)
**2*xi(2,1)**2*u - b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)**3*xi(2,1)*u + b(4,2)*b(3,1)*
b(1,1)**4*xi(4,3)**2*xi(3,3)**2*xi(2,1)**2*u + 2*b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)
**2*xi(2,1)**2*u + b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)**2*u - b(4,2)*b(3,1)*b(1,1)**
4*xi(4,3)*xi(3,3)**2*xi(2,1)**3*u - 2*b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)**2
*xi(2,1)*u - b(4,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(2,1)**3*u - 2*b(4,2)*b(3,1)*b(1,
1)**4*xi(4,3)*xi(2,1)*u + b(4,2)*b(3,1)*b(1,1)**4*xi(3,3)**4*xi(2,1)**2*u + 2*b(
4,2)*b(3,1)*b(1,1)**4*xi(3,3)**2*xi(2,1)**2*u + b(4,2)*b(3,1)*b(1,1)**4*xi(2,1)
**2*u - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u + b(3,2)*b(3,1)*
b(2,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)**2*
xi(3,3)*xi(2,1)*u - b(3,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - b(
3,2)*b(3,1)*b(2,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2*u - b(3,2)*b(3,1)*b(2,1)**3*b(1
,1)*xi(4,3)**3*xi(2,1)**3*u + b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)**3*xi(2,1)*
u + b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)**2*xi(2,1)**4*u - b(3,2)*b(3,1)*b(2,1
)**3*b(1,1)*xi(4,3)**2*u - b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(
2,1)**3*u + b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(3,2)
*b(3,1)*b(2,1)**3*b(1,1)*xi(4,3)*xi(2,1)**3*u + b(3,2)*b(3,1)*b(2,1)**3*b(1,1)*
xi(4,3)*xi(2,1)*u - 2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(3,3)*xi(2,
1)**2*u + 2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + 
2*b(3,2)*b(3,1)*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(3,3)*xi(2,1)*u - 2*b(3,2)*b(3,
1)*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u - 2*b(3,2)*b(3,1)*b(2,1)
**2*b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2*u - b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4
,3)**3*xi(2,1)**3*u + b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**3*xi(2,1)*u + b(3,
2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)**2*xi(2,1)**4*u - b(3,2)*b(3,1)*b(2,1)*b(1,1)
**3*xi(4,3)**2*u - b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)**3*
u + b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*xi(3,3)**2*xi(2,1)*u - b(3,2)*b(3,1)*
b(2,1)*b(1,1)**3*xi(4,3)*xi(2,1)**3*u + b(3,2)*b(3,1)*b(2,1)*b(1,1)**3*xi(4,3)*
xi(2,1)*u - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)**3*xi(3,3)*xi(2,1)**2*u + b(3,2)*b(3
,1)*b(1,1)**4*xi(4,3)**2*xi(3,3)*xi(2,1)**3*u + b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)
**2*xi(3,3)*xi(2,1)*u - b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)**3*xi(2,1)**2*u 
- b(3,2)*b(3,1)*b(1,1)**4*xi(4,3)*xi(3,3)*xi(2,1)**2*u + b(3,1)**2*b(2,1)**4*xi(
4,3)**3*xi(2,1)**3 - b(3,1)**2*b(2,1)**4*xi(4,3)**2*xi(2,1)**4 - b(3,1)**2*b(2,1
)**4*xi(4,3)**2*xi(2,1)**2 + b(3,1)**2*b(2,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1)**3 +
 b(3,1)**2*b(2,1)**4*xi(4,3)*xi(2,1)**3 + b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)
**3*xi(2,1)**3 + b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**3*xi(2,1) - b(3,1)**2*b(
2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2,1)**4 - 2*b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3
)**2*xi(2,1)**2 - b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)**2 + b(3,1)**2*b(2,1)**2
*b(1,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**3 + b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)
*xi(3,3)**2*xi(2,1) + b(3,1)**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**3 + b(3,1)
**2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1) + b(3,1)**2*b(1,1)**4*xi(4,3)**3*xi(2,1)
 - b(3,1)**2*b(1,1)**4*xi(4,3)**2*xi(2,1)**2 - b(3,1)**2*b(1,1)**4*xi(4,3)**2 + 
b(3,1)**2*b(1,1)**4*xi(4,3)*xi(3,3)**2*xi(2,1) + b(3,1)**2*b(1,1)**4*xi(4,3)*xi(
2,1))/(xi(4,3)*xi(2,1)*u*(b(2,1)**8*xi(4,3)**2*xi(2,1) - b(2,1)**8*xi(4,3)*xi(2,
1)**2 - b(2,1)**8*xi(4,3) + b(2,1)**8*xi(3,3)**2*xi(2,1) + b(2,1)**8*xi(2,1) + 4
*b(2,1)**6*b(1,1)**2*xi(4,3)**2*xi(2,1) - 4*b(2,1)**6*b(1,1)**2*xi(4,3)*xi(2,1)
**2 - 4*b(2,1)**6*b(1,1)**2*xi(4,3) + 4*b(2,1)**6*b(1,1)**2*xi(3,3)**2*xi(2,1) +
 4*b(2,1)**6*b(1,1)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**4*xi(4,3)**2*xi(2,1) - 6*b(
2,1)**4*b(1,1)**4*xi(4,3)*xi(2,1)**2 - 6*b(2,1)**4*b(1,1)**4*xi(4,3) + 6*b(2,1)
**4*b(1,1)**4*xi(3,3)**2*xi(2,1) + 6*b(2,1)**4*b(1,1)**4*xi(2,1) + 4*b(2,1)**2*b
(1,1)**6*xi(4,3)**2*xi(2,1) - 4*b(2,1)**2*b(1,1)**6*xi(4,3)*xi(2,1)**2 - 4*b(2,1
)**2*b(1,1)**6*xi(4,3) + 4*b(2,1)**2*b(1,1)**6*xi(3,3)**2*xi(2,1) + 4*b(2,1)**2*
b(1,1)**6*xi(2,1) + b(1,1)**8*xi(4,3)**2*xi(2,1) - b(1,1)**8*xi(4,3)*xi(2,1)**2 
- b(1,1)**8*xi(4,3) + b(1,1)**8*xi(3,3)**2*xi(2,1) + b(1,1)**8*xi(2,1)))USD\\$

\\USD J2(6,3):=(b(6,4)*b(1,1)*xi(4,3)**3*xi(2,1)*u - b(6,4)*b(1,1)*xi(4,3)**2*xi
(2,1)**2*u - b(6,4)*b(1,1)*xi(4,3)**2*u + b(6,4)*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,
1)*u + b(6,4)*b(1,1)*xi(4,3)*xi(2,1)*u + b(5,4)*b(2,1)*xi(4,3)**3*xi(2,1)*u - b(
5,4)*b(2,1)*xi(4,3)**2*xi(2,1)**2*u - b(5,4)*b(2,1)*xi(4,3)**2*u + b(5,4)*b(2,1)
*xi(4,3)*xi(3,3)**2*xi(2,1)*u + b(5,4)*b(2,1)*xi(4,3)*xi(2,1)*u - b(4,2)*b(2,1)
**2*xi(4,3)**2*xi(3,3)*xi(2,1) + 2*b(4,2)*b(2,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 -
 b(4,2)*b(2,1)**2*xi(3,3)**3*xi(2,1) - b(4,2)*b(2,1)**2*xi(3,3)*xi(2,1) + b(4,2)
*b(2,1)*b(1,1)*xi(4,3)**2*xi(2,1)**2 - b(4,2)*b(2,1)*b(1,1)*xi(4,3)**2 - b(4,2)*
b(2,1)*b(1,1)*xi(3,3)**2*xi(2,1)**2 + b(4,2)*b(2,1)*b(1,1)*xi(3,3)**2 - b(4,2)*b
(2,1)*b(1,1)*xi(2,1)**2 + b(4,2)*b(2,1)*b(1,1) - b(4,2)*b(1,1)**2*xi(4,3)**2*xi(
3,3)*xi(2,1) + 2*b(4,2)*b(1,1)**2*xi(4,3)*xi(3,3) - b(4,2)*b(1,1)**2*xi(3,3)**3*
xi(2,1) - b(4,2)*b(1,1)**2*xi(3,3)*xi(2,1) - b(4,1)*b(2,1)**2*xi(4,3)**2*xi(2,1)
**2*u + 2*b(4,1)*b(2,1)**2*xi(4,3)*xi(2,1)*u - b(4,1)*b(2,1)**2*xi(3,3)**2*u - b
(4,1)*b(2,1)**2*u + 2*b(4,1)*b(2,1)*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1)**2*u - 2*b(4,
1)*b(2,1)*b(1,1)*xi(4,3)*xi(3,3)*u - b(4,1)*b(1,1)**2*xi(4,3)**2*u + 2*b(4,1)*b(
1,1)**2*xi(4,3)*xi(2,1)*u - b(4,1)*b(1,1)**2*xi(3,3)**2*xi(2,1)**2*u - b(4,1)*b(
1,1)**2*xi(2,1)**2*u - b(3,2)*b(2,1)**2*xi(4,3)**2*xi(2,1)**2 + 2*b(3,2)*b(2,1)
**2*xi(4,3)*xi(2,1) - b(3,2)*b(2,1)**2*xi(3,3)**2 - b(3,2)*b(2,1)**2 + 2*b(3,2)*
b(2,1)*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1)**2 - 2*b(3,2)*b(2,1)*b(1,1)*xi(4,3)*xi(3,3
) - b(3,2)*b(1,1)**2*xi(4,3)**2 + 2*b(3,2)*b(1,1)**2*xi(4,3)*xi(2,1) - b(3,2)*b(
1,1)**2*xi(3,3)**2*xi(2,1)**2 - b(3,2)*b(1,1)**2*xi(2,1)**2 + b(3,1)*b(2,1)**2*
xi(4,3)**2*xi(3,3)*xi(2,1)*u - 2*b(3,1)*b(2,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2*u +
 b(3,1)*b(2,1)**2*xi(3,3)**3*xi(2,1)*u + b(3,1)*b(2,1)**2*xi(3,3)*xi(2,1)*u - b(
3,1)*b(2,1)*b(1,1)*xi(4,3)**2*xi(2,1)**2*u + b(3,1)*b(2,1)*b(1,1)*xi(4,3)**2*u +
 b(3,1)*b(2,1)*b(1,1)*xi(3,3)**2*xi(2,1)**2*u - b(3,1)*b(2,1)*b(1,1)*xi(3,3)**2*
u + b(3,1)*b(2,1)*b(1,1)*xi(2,1)**2*u - b(3,1)*b(2,1)*b(1,1)*u + b(3,1)*b(1,1)**
2*xi(4,3)**2*xi(3,3)*xi(2,1)*u - 2*b(3,1)*b(1,1)**2*xi(4,3)*xi(3,3)*u + b(3,1)*b
(1,1)**2*xi(3,3)**3*xi(2,1)*u + b(3,1)*b(1,1)**2*xi(3,3)*xi(2,1)*u)/(b(2,1)**4*
xi(4,3)**2*xi(2,1) - b(2,1)**4*xi(4,3)*xi(2,1)**2 - b(2,1)**4*xi(4,3) + b(2,1)**
4*xi(3,3)**2*xi(2,1) + b(2,1)**4*xi(2,1) + 2*b(2,1)**2*b(1,1)**2*xi(4,3)**2*xi(2
,1) - 2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**2 - 2*b(2,1)**2*b(1,1)**2*xi(4,3) +
 2*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(2,1) + 2*b(2,1)**2*b(1,1)**2*xi(2,1) + b(1,
1)**4*xi(4,3)**2*xi(2,1) - b(1,1)**4*xi(4,3)*xi(2,1)**2 - b(1,1)**4*xi(4,3) + b(
1,1)**4*xi(3,3)**2*xi(2,1) + b(1,1)**4*xi(2,1))USD\\$

\\USD J2(6,4):=(b(6,4)*b(2,1)*xi(4,3)**3*xi(2,1)**2*u - 2*b(6,4)*b(2,1)*xi(4,3)
**2*xi(2,1)*u + b(6,4)*b(2,1)*xi(4,3)*xi(3,3)**2*u + b(6,4)*b(2,1)*xi(4,3)*u + b
(6,4)*b(1,1)*xi(4,3)**3*xi(3,3)*xi(2,1)*u - 2*b(6,4)*b(1,1)*xi(4,3)**2*xi(3,3)*
xi(2,1)**2*u + b(6,4)*b(1,1)*xi(4,3)*xi(3,3)**3*xi(2,1)*u + b(6,4)*b(1,1)*xi(4,3
)*xi(3,3)*xi(2,1)*u + b(5,4)*b(2,1)*xi(4,3)**3*xi(3,3)*xi(2,1)*u - 2*b(5,4)*b(2,
1)*xi(4,3)**2*xi(3,3)*u + b(5,4)*b(2,1)*xi(4,3)*xi(3,3)**3*xi(2,1)*u + b(5,4)*b(
2,1)*xi(4,3)*xi(3,3)*xi(2,1)*u - b(5,4)*b(1,1)*xi(4,3)**3*u + 2*b(5,4)*b(1,1)*xi
(4,3)**2*xi(2,1)*u - b(5,4)*b(1,1)*xi(4,3)*xi(3,3)**2*xi(2,1)**2*u - b(5,4)*b(1,
1)*xi(4,3)*xi(2,1)**2*u - b(4,2)*b(2,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1) - b(4,2
)*b(2,1)**2*xi(4,3)**2*xi(2,1) + b(4,2)*b(2,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**2 
+ b(4,2)*b(2,1)**2*xi(4,3)*xi(3,3)**2 + b(4,2)*b(2,1)**2*xi(4,3)*xi(2,1)**2 + b(
4,2)*b(2,1)**2*xi(4,3) - b(4,2)*b(2,1)**2*xi(3,3)**4*xi(2,1) - 2*b(4,2)*b(2,1)**
2*xi(3,3)**2*xi(2,1) - b(4,2)*b(2,1)**2*xi(2,1) - b(4,2)*b(1,1)**2*xi(4,3)**2*xi
(3,3)**2*xi(2,1) - b(4,2)*b(1,1)**2*xi(4,3)**2*xi(2,1) + b(4,2)*b(1,1)**2*xi(4,3
)*xi(3,3)**2*xi(2,1)**2 + b(4,2)*b(1,1)**2*xi(4,3)*xi(3,3)**2 + b(4,2)*b(1,1)**2
*xi(4,3)*xi(2,1)**2 + b(4,2)*b(1,1)**2*xi(4,3) - b(4,2)*b(1,1)**2*xi(3,3)**4*xi(
2,1) - 2*b(4,2)*b(1,1)**2*xi(3,3)**2*xi(2,1) - b(4,2)*b(1,1)**2*xi(2,1) + b(3,1)
*b(2,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,1)*u + b(3,1)*b(2,1)**2*xi(4,3)**2*xi(2,1)
*u - b(3,1)*b(2,1)**2*xi(4,3)*xi(3,3)**2*xi(2,1)**2*u - b(3,1)*b(2,1)**2*xi(4,3)
*xi(3,3)**2*u - b(3,1)*b(2,1)**2*xi(4,3)*xi(2,1)**2*u - b(3,1)*b(2,1)**2*xi(4,3)
*u + b(3,1)*b(2,1)**2*xi(3,3)**4*xi(2,1)*u + 2*b(3,1)*b(2,1)**2*xi(3,3)**2*xi(2,
1)*u + b(3,1)*b(2,1)**2*xi(2,1)*u + b(3,1)*b(1,1)**2*xi(4,3)**2*xi(3,3)**2*xi(2,
1)*u + b(3,1)*b(1,1)**2*xi(4,3)**2*xi(2,1)*u - b(3,1)*b(1,1)**2*xi(4,3)*xi(3,3)
**2*xi(2,1)**2*u - b(3,1)*b(1,1)**2*xi(4,3)*xi(3,3)**2*u - b(3,1)*b(1,1)**2*xi(4
,3)*xi(2,1)**2*u - b(3,1)*b(1,1)**2*xi(4,3)*u + b(3,1)*b(1,1)**2*xi(3,3)**4*xi(2
,1)*u + 2*b(3,1)*b(1,1)**2*xi(3,3)**2*xi(2,1)*u + b(3,1)*b(1,1)**2*xi(2,1)*u)/(
xi(4,3)*u*(b(2,1)**4*xi(4,3)**2*xi(2,1) - b(2,1)**4*xi(4,3)*xi(2,1)**2 - b(2,1)
**4*xi(4,3) + b(2,1)**4*xi(3,3)**2*xi(2,1) + b(2,1)**4*xi(2,1) + 2*b(2,1)**2*b(1
,1)**2*xi(4,3)**2*xi(2,1) - 2*b(2,1)**2*b(1,1)**2*xi(4,3)*xi(2,1)**2 - 2*b(2,1)
**2*b(1,1)**2*xi(4,3) + 2*b(2,1)**2*b(1,1)**2*xi(3,3)**2*xi(2,1) + 2*b(2,1)**2*b
(1,1)**2*xi(2,1) + b(1,1)**4*xi(4,3)**2*xi(2,1) - b(1,1)**4*xi(4,3)*xi(2,1)**2 -
 b(1,1)**4*xi(4,3) + b(1,1)**4*xi(3,3)**2*xi(2,1) + b(1,1)**4*xi(2,1)))USD\\$

\\USD J2(6,5):=(u*(b(2,1)**2*xi(4,3)**2*xi(2,1)**2 - 2*b(2,1)**2*xi(4,3)*xi(2,1)
 + b(2,1)**2*xi(3,3)**2 + b(2,1)**2 - 2*b(2,1)*b(1,1)*xi(4,3)*xi(3,3)*xi(2,1)**2
 + 2*b(2,1)*b(1,1)*xi(4,3)*xi(3,3) + b(1,1)**2*xi(4,3)**2 - 2*b(1,1)**2*xi(4,3)*
xi(2,1) + b(1,1)**2*xi(3,3)**2*xi(2,1)**2 + b(1,1)**2*xi(2,1)**2))/(b(2,1)**2*xi
(4,3)**2*xi(2,1) - b(2,1)**2*xi(4,3)*xi(2,1)**2 - b(2,1)**2*xi(4,3) + b(2,1)**2*
xi(3,3)**2*xi(2,1) + b(2,1)**2*xi(2,1) + b(1,1)**2*xi(4,3)**2*xi(2,1) - b(1,1)**
2*xi(4,3)*xi(2,1)**2 - b(1,1)**2*xi(4,3) + b(1,1)**2*xi(3,3)**2*xi(2,1) + b(1,1)
**2*xi(2,1))USD\\$

\\USD J2(6,6):=(b(2,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 - b(2,1)**2*xi(4,3)*xi(3,3)
 + b(2,1)*b(1,1)*xi(4,3)**2*xi(2,1)**2 - b(2,1)*b(1,1)*xi(4,3)**2 - b(2,1)*b(1,1
)*xi(3,3)**2*xi(2,1)**2 + b(2,1)*b(1,1)*xi(3,3)**2 - b(2,1)*b(1,1)*xi(2,1)**2 + 
b(2,1)*b(1,1) - b(1,1)**2*xi(4,3)*xi(3,3)*xi(2,1)**2 + b(1,1)**2*xi(4,3)*xi(3,3)
)/(b(2,1)**2*xi(4,3)**2*xi(2,1) - b(2,1)**2*xi(4,3)*xi(2,1)**2 - b(2,1)**2*xi(4,
3) + b(2,1)**2*xi(3,3)**2*xi(2,1) + b(2,1)**2*xi(2,1) + b(1,1)**2*xi(4,3)**2*xi(
2,1) - b(1,1)**2*xi(4,3)*xi(2,1)**2 - b(1,1)**2*xi(4,3) + b(1,1)**2*xi(3,3)**2*
xi(2,1) + b(1,1)**2*xi(2,1))USD\\$

USD det \Phi:=u*( - b(2,1)**12 - 6*b(2,1)**10*b(1,1)**2 - 15*b(2,1)**8*b(1,1)**4
 - 20*b(2,1)**6*b(1,1)**6 - 15*b(2,1)**4*b(1,1)**8 - 6*b(2,1)**2*b(1,1)**10 - b(
1,1)**12)USD$

From these formulae, we see that a necessary condition for equivalence$

is that USD \eta^4_3=-u*xi(4,3) \; (u = \pm 1) \; and eta^3_3 =xi(3,3).USD$

As  USD u=1USD would change the sign of USD xi(2,1), we conclude that$

any   USD J USD with USD xi(4,3) \neq xi(2,1) is equivalent to a unique $

\\$

{\fontsize{8}{10} \selectfont$

\begin{equation}$

\label{M10final}$

 J(xi(2,1),xi(3,3),xi(4,3)) = \begin{pmatrix}$

0&$

( - 1)/xi(2,1)&$

0&$

0&$

0&$

0\\$

xi(2,1)&$

0&$

0&$

0&$

0&$

0\\$

0&$

0&$

xi(3,3)&$

( - (xi(3,3)**2 + 1))/xi(4,3)&$

0&$

0\\$

0&$

0&$

xi(4,3)&$

 - xi(3,3)&$

0&$

0\\$

0&$

0&$

0&$

0&$

((xi(2,1) + 1)*(xi(2,1) - 1)*xi(4,3)*xi(3,3))/((xi(4,3)*xi(2,1) - xi(2,1)**2 - 1
)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))&$

((xi(4,3)*xi(2,1) - 2)*xi(4,3)*xi(2,1) + xi(3,3)**2 + 1)/((xi(4,3)*xi(2,1) - xi(
2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))\\$

0&$

0&$

0&$

0&$

 - ((xi(4,3) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)/((xi(4,3)*xi(2,
1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))&$

 - ((xi(2,1) + 1)*(xi(2,1) - 1)*xi(4,3)*xi(3,3))/((xi(4,3)*xi(2,1) - xi(2,1)**2 
- 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1))\end{pmatrix}$

\end{equation}$

}$

USDUSD J^2 = \begin{pmatrix}$

-1&$

0&$

0&$

0&$

0&$

0\\$

0&$

-1&$

0&$

0&$

0&$

0\\$

0&$

0&$

-1&$

0&$

0&$

0\\$

0&$

0&$

0&$

-1&$

0&$

0\\$

0&$

0&$

0&$

0&$

-1&$

0\\$

0&$

0&$

0&$

0&$

0&$

-1\end{pmatrix}USDUSD$

\\USD det J:=1 USD$

USD Trace J:=0 USD$

 where USD 0 < xi(2,1) \leqslant 1,USD$

  USD xi(2,1)*xi(4,3) \neq 0,USD$

 USD xi(2,1)\neq xi(4,3) ,USD$

and USD D:=(xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)
,\neq 0 \\USD$

 \\ and$

USD a:=xi(5,5):=((xi(2,1) + 1)*(xi(2,1) - 1)*xi(4,3)*xi(3,3))/((xi(4,3)*xi(2,1) 
- xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)),\\USD$

USD b:=xi(6,5):= - ((xi(4,3) - 2*xi(2,1))*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)**2)
/((xi(4,3)*xi(2,1) - xi(2,1)**2 - 1)*xi(4,3) + (xi(3,3)**2 + 1)*xi(2,1)),\\USD$

\\ check of torsion$

\\Torsion equations to cancel (Latex output) : \\USD$

USD $

zero torsion$

\par Commutation relations of USD \mathfrak{m} : USD$

\\ USD  [\tilde{x}_1,\tilde{x}_3]=tildex_5*( - xi(4,3)*xi(2,1) + 1) + tildex_6*
xi(3,3)*xi(2,1);\\USD$

\\ USD  [\tilde{x}_1,\tilde{x}_4]=tildex_5*xi(3,3)*xi(2,1) + (tildex_6*(xi(4,3) 
- xi(3,3)**2*xi(2,1) - xi(2,1)))/xi(4,3);\\USD$

\\ USD  [\tilde{x}_2,\tilde{x}_3]=(tildex_5*xi(3,3))/xi(2,1) + (tildex_6*(xi(4,3
) - xi(2,1)))/xi(2,1);\\USD$

\\ USD  [\tilde{x}_2,\tilde{x}_4]=(tildex_5*(xi(4,3)*xi(2,1) - xi(3,3)**2 - 1))/
(xi(4,3)*xi(2,1)) + ( - tildex_6*xi(3,3))/xi(2,1);\\USD$

\P$

\par Now we check if the condition USD [Jx,y]= J[x,y] USD is satisfied$

USD\forall x,y \in {\mathcal{G}}_{6,m10},USD$

\textit{i.e.} if USD{\mathcal{G}}_{6,m10}USD$

is a \textit{complex} algebra.$

\\USD J[x_j,x_k] \neq [Jx_j,x_k] USD
in the following cases{{{1,1}, - xi(2,1)*x(3)},
{{1,2}, - xi(4,3)*x(4) - xi(3,3)*x(3)},
{{1,3},
(x(6)*xi(4,3)*( - xi(4,3)*xi(2,1)**2 + xi(4,3) + xi(2,1)**3 - xi(2,1)))/(xi(4,3)
**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)) + (x(
5)*xi(4,3)*xi(3,3)*( - xi(2,1)**2 + 1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2
 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))},
{{1,4},
(x(6)*xi(4,3)*xi(3,3)*(xi(2,1)**2 - 1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2
 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)) + x(5)*( - xi(4,3)*xi(2,1)**3 + xi(4,
3)*xi(2,1) + xi(3,3)**2*xi(2,1)**2 - xi(3,3)**2 + xi(2,1)**2 - 1)/(xi(4,3)**2*xi
(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))},
{{2,1},xi(4,3)*x(4) + xi(3,3)*x(3)},
{{2,2}, - x(3)/xi(2,1)},
{{2,3},
(x(6)*xi(4,3)*xi(3,3)*( - xi(2,1)**2 + 1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)
**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)) + (x(5)*xi(4,3)*(xi(4,3)*xi(2,1)**
3 - xi(4,3)*xi(2,1) - xi(2,1)**2 + 1))/(xi(2,1)*(xi(4,3)**2*xi(2,1) - xi(4,3)*xi
(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)))},
{{2,4},
(x(6)*( - xi(4,3)*xi(2,1)**2 + xi(4,3) + xi(3,3)**2*xi(2,1)**3 - xi(3,3)**2*xi(2
,1) + xi(2,1)**3 - xi(2,1)))/(xi(2,1)*(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 -
 xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))) + (x(5)*xi(4,3)*xi(3,3)*( - xi(2,1)**2
 + 1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) +
 xi(2,1))},
{{3,1},
(x(6)*xi(2,1)*( - xi(4,3)**3 + xi(4,3)**2*xi(2,1) - xi(4,3)*xi(3,3)**2 + xi(4,3)
 - xi(3,3)**2*xi(2,1) - xi(2,1)))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(
4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)) + (x(5)*xi(3,3)*xi(2,1)*( - xi(4,3)**2 + 2*
xi(4,3)*xi(2,1) - xi(3,3)**2 - 1))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi
(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1))},
{{3,2},
(x(6)*xi(3,3)*(xi(4,3)**2*xi(2,1) - 2*xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)))/(
xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)
) + x(5)*( - xi(4,3)**3*xi(2,1) + xi(4,3)**2 - xi(4,3)*xi(3,3)**2*xi(2,1) + xi(4
,3)*xi(2,1) - xi(3,3)**2 - 1)/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3)
 + xi(3,3)**2*xi(2,1) + xi(2,1))},
{{4,1},
(x(6)*xi(3,3)*xi(2,1)*(xi(4,3)**2 - 2*xi(4,3)*xi(2,1) + xi(3,3)**2 + 1))/(xi(4,3
)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1)) + (x
(5)*xi(2,1)*(xi(4,3)**3*xi(2,1) + xi(4,3)**2*xi(3,3)**2 - xi(4,3)**2 - xi(4,3)*
xi(3,3)**2*xi(2,1) - xi(4,3)*xi(2,1) + xi(3,3)**4 + 2*xi(3,3)**2 + 1))/(xi(4,3)*
(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1) + xi(2,1
)))},
{{4,2},
(x(6)*( - xi(4,3)**3 - xi(4,3)**2*xi(3,3)**2*xi(2,1) + xi(4,3)**2*xi(2,1) + xi(4
,3)*xi(3,3)**2 + xi(4,3) - xi(3,3)**4*xi(2,1) - 2*xi(3,3)**2*xi(2,1) - xi(2,1)))
/(xi(4,3)*(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*xi(2,1
) + xi(2,1))) + (x(5)*xi(3,3)*(xi(4,3)**2*xi(2,1) - 2*xi(4,3) + xi(3,3)**2*xi(2,
1) + xi(2,1)))/(xi(4,3)**2*xi(2,1) - xi(4,3)*xi(2,1)**2 - xi(4,3) + xi(3,3)**2*
xi(2,1) + xi(2,1))}}$

\\ \starline$

\end{document}$

