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This output from the file \texttt{program11_-1.tex}.\\$

Computation of all complex    structures on the real Lie Algebra$

USD {\mathcal{G}}_{6,{m14_(-1)}}.USD$

\smallskip  \par $

Commutation relations for$

USD {\mathcal{G}}_{6,{m14_(-1)}}:USD\\$

USD[x(1),x(3)]=x(4)USD;$

USD[x(1),x(4)]=x(6)USD;$

USD[x(2),x(3)]=x(5)USD;$

USD[x(2),x(5)]= - x(6)USD;$

\P$

Nonzero torsion$

\par$

\\Torsion equations to cancel (Latex output) : \\USD$

{1,2}|1\\xi(3,2)*xi(1,4) - xi(3,1)*xi(1,5) + xi(4,2)*xi(1,6) + xi(5,1)*xi(1,6)\\
$

{1,2}|2\\xi(3,2)*xi(2,4) - xi(3,1)*xi(2,5) + xi(4,2)*xi(2,6) + xi(5,1)*xi(2,6)\\
$

{1,2}|3\\ - (xi(3,5)*xi(3,1) - xi(3,4)*xi(3,2) - xi(4,2)*xi(3,6)) + xi(5,1)*xi(3
,6)\\$

{1,2}|4\\ - (xi(3,2)*xi(1,1) - xi(3,1)*xi(1,2) - xi(4,4)*xi(3,2) + xi(4,5)*xi(3,
1) - xi(4,6)*xi(4,2)) + xi(5,1)*xi(4,6)\\$

{1,2}|5\\ - (xi(3,2)*xi(2,1) - xi(3,1)*xi(2,2) - xi(5,4)*xi(3,2) + xi(5,5)*xi(3,
1)) + (xi(5,1) + xi(4,2))*xi(5,6)\\$

{1,2}|6\\ - (xi(4,2)*xi(1,1) - xi(4,1)*xi(1,2) + xi(5,1)*xi(2,2) - xi(5,2)*xi(2,
1) - xi(6,4)*xi(3,2) + xi(6,5)*xi(3,1)) + (xi(5,1) + xi(4,2))*xi(6,6)\\$

{1,3}|1\\xi(2,1)*xi(1,5) + xi(1,4)*xi(1,1) + xi(3,3)*xi(1,4) + xi(4,3)*xi(1,6)\\
$

{1,3}|2\\xi(2,5)*xi(2,1) + xi(2,4)*xi(1,1) + xi(3,3)*xi(2,4) + xi(4,3)*xi(2,6)\\
$

{1,3}|3\\(xi(3,3) + xi(1,1))*xi(3,4) + xi(3,5)*xi(2,1) + xi(4,3)*xi(3,6)\\$

{1,3}|4\\xi(3,1)*xi(1,3) + 1 - xi(3,3)*xi(1,1) + (xi(3,3) + xi(1,1))*xi(4,4) + 
xi(4,5)*xi(2,1) + xi(4,6)*xi(4,3)\\$

{1,3}|5\\ - (xi(3,3)*xi(2,1) - xi(3,1)*xi(2,3) - (xi(3,3) + xi(1,1))*xi(5,4) - 
xi(5,5)*xi(2,1)) + xi(5,6)*xi(4,3)\\$

{1,3}|6\\ - (xi(4,3)*xi(1,1) - xi(4,1)*xi(1,3) + xi(5,1)*xi(2,3) - xi(5,3)*xi(2,
1) - (xi(3,3) + xi(1,1))*xi(6,4) - xi(6,5)*xi(2,1)) + xi(6,6)*xi(4,3)\\$

{1,4}|1\\xi(3,4)*xi(1,4) + xi(1,6)*xi(1,1) + xi(4,4)*xi(1,6)\\$

{1,4}|2\\xi(3,4)*xi(2,4) + xi(2,6)*xi(1,1) + xi(4,4)*xi(2,6)\\$

{1,4}|3\\xi(3,6)*xi(1,1) + xi(3,4)**2 + xi(4,4)*xi(3,6)\\$

{1,4}|4\\ - (xi(3,4)*xi(1,1) - xi(3,1)*xi(1,4) - xi(4,4)*xi(3,4)) + (xi(4,4) + 
xi(1,1))*xi(4,6)\\$

{1,4}|5\\ - (xi(3,4)*xi(2,1) - xi(3,1)*xi(2,4) - xi(5,4)*xi(3,4)) + (xi(4,4) + 
xi(1,1))*xi(5,6)\\$

{1,4}|6\\xi(4,1)*xi(1,4) + 1 - xi(4,4)*xi(1,1) - xi(5,1)*xi(2,4) + xi(5,4)*xi(2,
1) + xi(6,4)*xi(3,4) + (xi(4,4) + xi(1,1))*xi(6,6)\\$

{1,5}|1\\xi(3,5)*xi(1,4) - xi(2,1)*xi(1,6) + xi(4,5)*xi(1,6)\\$

{1,5}|2\\xi(3,5)*xi(2,4) - xi(2,6)*xi(2,1) + xi(4,5)*xi(2,6)\\$

{1,5}|3\\ - (xi(3,6)*xi(2,1) - xi(3,5)*xi(3,4)) + xi(4,5)*xi(3,6)\\$

{1,5}|4\\ - (xi(3,5)*xi(1,1) - xi(3,1)*xi(1,5) - xi(4,4)*xi(3,5)) + (xi(4,5) - 
xi(2,1))*xi(4,6)\\$

{1,5}|5\\ - (xi(3,5)*xi(2,1) - xi(3,1)*xi(2,5) - xi(5,4)*xi(3,5)) + (xi(4,5) - 
xi(2,1))*xi(5,6)\\$

{1,5}|6\\ - (xi(4,5)*xi(1,1) - xi(4,1)*xi(1,5) + xi(5,1)*xi(2,5) - xi(5,5)*xi(2,
1) - xi(6,4)*xi(3,5)) + (xi(4,5) - xi(2,1))*xi(6,6)\\$

{1,6}|1\\xi(4,6)*xi(1,6) + xi(3,6)*xi(1,4)\\$

{1,6}|2\\xi(4,6)*xi(2,6) + xi(3,6)*xi(2,4)\\$

{1,6}|3\\xi(4,6)*xi(3,6) + xi(3,6)*xi(3,4)\\$

{1,6}|4\\ - (xi(3,6)*xi(1,1) - xi(3,1)*xi(1,6) - xi(4,4)*xi(3,6)) + xi(4,6)**2\\
$

{1,6}|5\\ - (xi(3,6)*xi(2,1) - xi(3,1)*xi(2,6) - xi(5,4)*xi(3,6)) + xi(5,6)*xi(4
,6)\\$

{1,6}|6\\ - (xi(4,6)*xi(1,1) - xi(4,1)*xi(1,6) + xi(5,1)*xi(2,6) - xi(5,6)*xi(2,
1) - xi(6,4)*xi(3,6)) + xi(6,6)*xi(4,6)\\$

{2,3}|1\\xi(2,2)*xi(1,5) + xi(1,4)*xi(1,2) + xi(3,3)*xi(1,5) - xi(5,3)*xi(1,6)\\
$

{2,3}|2\\xi(2,5)*xi(2,2) + xi(2,4)*xi(1,2) + xi(3,3)*xi(2,5) - xi(5,3)*xi(2,6)\\
$

{2,3}|3\\xi(3,5)*xi(3,3) + xi(3,5)*xi(2,2) + xi(3,4)*xi(1,2) - xi(5,3)*xi(3,6)\\
$

{2,3}|4\\ - (xi(3,3)*xi(1,2) - xi(3,2)*xi(1,3) - xi(4,4)*xi(1,2) - (xi(3,3) + xi
(2,2))*xi(4,5)) - xi(5,3)*xi(4,6)\\$

{2,3}|5\\xi(3,2)*xi(2,3) + 1 - xi(3,3)*xi(2,2) + xi(5,4)*xi(1,2) + (xi(3,3) + xi
(2,2))*xi(5,5) - xi(5,6)*xi(5,3)\\$

{2,3}|6\\ - (xi(4,3)*xi(1,2) - xi(4,2)*xi(1,3) + xi(5,2)*xi(2,3) - xi(5,3)*xi(2,
2) - xi(6,4)*xi(1,2) - (xi(3,3) + xi(2,2))*xi(6,5)) - xi(6,6)*xi(5,3)\\$

{2,4}|1\\xi(3,4)*xi(1,5) + xi(1,6)*xi(1,2) - xi(5,4)*xi(1,6)\\$

{2,4}|2\\xi(3,4)*xi(2,5) + xi(2,6)*xi(1,2) - xi(5,4)*xi(2,6)\\$

{2,4}|3\\xi(3,6)*xi(1,2) + xi(3,5)*xi(3,4) - xi(5,4)*xi(3,6)\\$

{2,4}|4\\ - (xi(3,4)*xi(1,2) - xi(3,2)*xi(1,4) - xi(4,5)*xi(3,4) - xi(4,6)*xi(1,
2)) - xi(5,4)*xi(4,6)\\$

{2,4}|5\\ - (xi(3,4)*xi(2,2) - xi(3,2)*xi(2,4) - xi(5,5)*xi(3,4)) - (xi(5,4) - 
xi(1,2))*xi(5,6)\\$

{2,4}|6\\ - (xi(4,4)*xi(1,2) - xi(4,2)*xi(1,4) + xi(5,2)*xi(2,4) - xi(5,4)*xi(2,
2) - xi(6,5)*xi(3,4)) - (xi(5,4) - xi(1,2))*xi(6,6)\\$

{2,5}|1\\xi(3,5)*xi(1,5) - xi(2,2)*xi(1,6) - xi(5,5)*xi(1,6)\\$

{2,5}|2\\xi(3,5)*xi(2,5) - xi(2,6)*xi(2,2) - xi(5,5)*xi(2,6)\\$

{2,5}|3\\ - (xi(3,6)*xi(2,2) - xi(3,5)**2) - xi(5,5)*xi(3,6)\\$

{2,5}|4\\ - (xi(3,5)*xi(1,2) - xi(3,2)*xi(1,5) - xi(4,5)*xi(3,5) + xi(4,6)*xi(2,
2)) - xi(5,5)*xi(4,6)\\$

{2,5}|5\\ - (xi(3,5)*xi(2,2) - xi(3,2)*xi(2,5) - xi(5,5)*xi(3,5)) - (xi(5,5) + 
xi(2,2))*xi(5,6)\\$

{2,5}|6\\xi(4,2)*xi(1,5) - 1 - xi(4,5)*xi(1,2) - xi(5,2)*xi(2,5) + xi(5,5)*xi(2,
2) + xi(6,5)*xi(3,5) - (xi(5,5) + xi(2,2))*xi(6,6)\\$

{2,6}|1\\ - xi(5,6)*xi(1,6) + xi(3,6)*xi(1,5)\\$

{2,6}|2\\ - xi(5,6)*xi(2,6) + xi(3,6)*xi(2,5)\\$

{2,6}|3\\ - xi(5,6)*xi(3,6) + xi(3,6)*xi(3,5)\\$

{2,6}|4\\ - (xi(3,6)*xi(1,2) - xi(3,2)*xi(1,6) - xi(4,5)*xi(3,6)) - xi(5,6)*xi(4
,6)\\$

{2,6}|5\\ - (xi(3,6)*xi(2,2) - xi(3,2)*xi(2,6) - xi(5,5)*xi(3,6)) - xi(5,6)**2\\
$

{2,6}|6\\ - (xi(4,6)*xi(1,2) - xi(4,2)*xi(1,6) + xi(5,2)*xi(2,6) - xi(5,6)*xi(2,
2) - xi(6,5)*xi(3,6)) - xi(6,6)*xi(5,6)\\$

{3,4}|1\\xi(1,6)*xi(1,3) - xi(1,4)**2 - xi(2,4)*xi(1,5)\\$

{3,4}|2\\ - (xi(2,5) + xi(1,4))*xi(2,4) + xi(2,6)*xi(1,3)\\$

{3,4}|3\\ - (xi(3,5)*xi(2,4) + xi(3,4)*xi(1,4)) + xi(3,6)*xi(1,3)\\$

{3,4}|4\\ - (xi(3,4)*xi(1,3) - xi(3,3)*xi(1,4) + xi(4,4)*xi(1,4) + xi(4,5)*xi(2,
4)) + xi(4,6)*xi(1,3)\\$

{3,4}|5\\ - (xi(3,4)*xi(2,3) - xi(3,3)*xi(2,4) + xi(5,4)*xi(1,4) + xi(5,5)*xi(2,
4)) + xi(5,6)*xi(1,3)\\$

{3,4}|6\\ - (xi(4,4)*xi(1,3) - xi(4,3)*xi(1,4) + xi(5,3)*xi(2,4) - xi(5,4)*xi(2,
3) + xi(6,4)*xi(1,4) + xi(6,5)*xi(2,4)) + xi(6,6)*xi(1,3)\\$

{3,5}|1\\ - (xi(2,3)*xi(1,6) + xi(1,5)*xi(1,4)) - xi(2,5)*xi(1,5)\\$

{3,5}|2\\ - (xi(2,5)**2 + xi(2,4)*xi(1,5)) - xi(2,6)*xi(2,3)\\$

{3,5}|3\\ - (xi(3,5)*xi(2,5) + xi(3,4)*xi(1,5)) - xi(3,6)*xi(2,3)\\$

{3,5}|4\\ - (xi(3,5)*xi(1,3) - xi(3,3)*xi(1,5) + xi(4,4)*xi(1,5) + xi(4,5)*xi(2,
5)) - xi(4,6)*xi(2,3)\\$

{3,5}|5\\ - (xi(3,5)*xi(2,3) - xi(3,3)*xi(2,5) + xi(5,4)*xi(1,5) + xi(5,5)*xi(2,
5)) - xi(5,6)*xi(2,3)\\$

{3,5}|6\\ - (xi(4,5)*xi(1,3) - xi(4,3)*xi(1,5) + xi(5,3)*xi(2,5) - xi(5,5)*xi(2,
3) + xi(6,4)*xi(1,5) + xi(6,5)*xi(2,5)) - xi(6,6)*xi(2,3)\\$

{3,6}|1\\ - xi(2,6)*xi(1,5) - xi(1,6)*xi(1,4)\\$

{3,6}|2\\ - xi(2,6)*xi(2,5) - xi(2,4)*xi(1,6)\\$

{3,6}|3\\ - xi(3,5)*xi(2,6) - xi(3,4)*xi(1,6)\\$

{3,6}|4\\ - (xi(3,6)*xi(1,3) - xi(3,3)*xi(1,6) + xi(4,4)*xi(1,6)) - xi(4,5)*xi(2
,6)\\$

{3,6}|5\\ - (xi(3,6)*xi(2,3) - xi(3,3)*xi(2,6) + xi(5,4)*xi(1,6)) - xi(5,5)*xi(2
,6)\\$

{3,6}|6\\ - (xi(4,6)*xi(1,3) - xi(4,3)*xi(1,6) + xi(5,3)*xi(2,6) - xi(5,6)*xi(2,
3) + xi(6,4)*xi(1,6)) - xi(6,5)*xi(2,6)\\$

{4,5}|1\\ - xi(2,4)*xi(1,6) - xi(1,6)*xi(1,5)\\$

{4,5}|2\\ - xi(2,6)*xi(2,4) - xi(2,6)*xi(1,5)\\$

{4,5}|3\\ - xi(3,6)*xi(2,4) - xi(3,6)*xi(1,5)\\$

{4,5}|4\\ - (xi(3,5)*xi(1,4) - xi(3,4)*xi(1,5)) - (xi(2,4) + xi(1,5))*xi(4,6)\\$

{4,5}|5\\ - (xi(3,5)*xi(2,4) - xi(3,4)*xi(2,5)) - (xi(2,4) + xi(1,5))*xi(5,6)\\$

{4,5}|6\\ - (xi(4,5)*xi(1,4) - xi(4,4)*xi(1,5) + xi(5,4)*xi(2,5) - xi(5,5)*xi(2,
4)) - (xi(2,4) + xi(1,5))*xi(6,6)\\$

{4,6}|1\\ - xi(1,6)**2\\$

{4,6}|2\\ - xi(2,6)*xi(1,6)\\$

{4,6}|3\\ - xi(3,6)*xi(1,6)\\$

{4,6}|4\\ - (xi(3,6)*xi(1,4) - xi(3,4)*xi(1,6)) - xi(4,6)*xi(1,6)\\$

{4,6}|5\\ - (xi(3,6)*xi(2,4) - xi(3,4)*xi(2,6)) - xi(5,6)*xi(1,6)\\$

{4,6}|6\\ - (xi(4,6)*xi(1,4) - xi(4,4)*xi(1,6) + xi(5,4)*xi(2,6) - xi(5,6)*xi(2,
4)) - xi(6,6)*xi(1,6)\\$

{5,6}|1\\xi(2,6)*xi(1,6)\\$

{5,6}|2\\xi(2,6)**2\\$

{5,6}|3\\xi(3,6)*xi(2,6)\\$

{5,6}|4\\ - (xi(3,6)*xi(1,5) - xi(3,5)*xi(1,6)) + xi(4,6)*xi(2,6)\\$

{5,6}|5\\ - (xi(3,6)*xi(2,5) - xi(3,5)*xi(2,6)) + xi(5,6)*xi(2,6)\\$

{5,6}|6\\ - (xi(4,6)*xi(1,5) - xi(4,5)*xi(1,6) + xi(5,5)*xi(2,6) - xi(5,6)*xi(2,
5)) + xi(6,6)*xi(2,6)\\$

USD$

\\ \starline$

\par Simultaneous resolution of the nonzero torsion equations and the matrix$

equation USD J^2 = -I . USD$

First, one gets from  equation USD46|1USD :$

\\ USD xi(1,6):=0USD$

\\ and from  equation USD56|2USD :$

\\ USD xi(2,6):=0USD$

\\Then, if USD xi(3,6)=0 USD $

\\ USD xi(3,6):=0USD$

\\ one gets from  equation USD26|5USD :$

\\ USD xi(5,6):=0USD$

\\ and from  equation USD16|4USD :$

\\ USD xi(4,6):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 6x6 entry in  USD J**2 USD  is USD xi(6,6)**2 USD$

\\ hence, one gets a contradiction $

\\ Hence USD xi(3,6)USD has to be USD \neq 0 .USD$

\\ clear  USD xi(3,6),xi(4,6),xi(5,6) USD$

\\ USD xi(3,6):=xi(3,6)USD$

\\ USD xi(5,6):=xi(5,6)USD$

\\ USD xi(4,6):=xi(4,6)USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then, one gets from  equation USD16|1USD :$

\\ USD xi(1,4):=0USD$

\\ and from  equation USD16|2USD :$

\\ USD xi(2,4):=0USD$

\\ and from  equation USD26|1USD :$

\\ USD xi(1,5):=0USD$

\\ and from  equation USD26|2USD :$

\\ USD xi(2,5):=0USD$

\\ and from  equation USD36|4USD :$

\\ USD xi(1,3):=0USD$

\\ and from  equation USD36|5USD :$

\\ USD xi(2,3):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then, one gets from  equation USD16|3USD :$

\\ USD xi(4,6):= - xi(3,4)USD$

\\ and from  equation USD26|3USD :$

\\ USD xi(5,6):=xi(3,5)USD$

\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$

Moreover, the 1x2 entry in  USD J**2 USD  is $

USD  (xi(2,2) + xi(1,1))*xi(1,2);USD hence\\$

\\ USD xi(2,2):= - xi(1,1)USD$

\\Suppose here  USD xi(1,1) \neq     0 USD $

\\ Then, one gets from  equation USD14|4USD :$

\\ USD xi(3,4):=0USD$

\\ and from  equation USD25|5USD :$

\\ USD xi(3,5):=0USD$

\\ Then, one gets from  equation USD13|3USD :$

\\ USD xi(4,3):=0USD$

\\ and from  equation USD16|6USD :$

\\ USD xi(6,4):=0USD$

\\ and from  equation USD23|3USD :$

\\ USD xi(5,3):=0USD$

\\ and from  equation USD26|6USD :$

\\ USD xi(6,5):=0USD$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then, one gets from  equation USD14|3USD :$

USD xi(4,4)=-xi(1,1)$

\\ and from  equation USD16|4USD :$

USD xi(4,4)=xi(1,1)$

\\ hence USD xi(1,1):=0. USD a contradiction$

\\ Hence  one cannot have USD xi(1,1) \neq 0. USD $

\\ USD xi(1,1):=0USD$

\\ Clear USDxi(3,4),xi(3,5),xi(5,3),xi(4,3),xi(6,4),xi(6,5) USD$

\\ USD xi(3,4):=xi(3,4)USD$

\\ USD xi(3,5):=xi(3,5)USD$

\\ USD xi(4,3):=xi(4,3)USD$

\\ USD xi(6,4):=xi(6,4)USD$

\\ USD xi(5,3):=xi(5,3)USD$

\\ USD xi(6,5):=xi(6,5)USD$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then, one gets from  equation USD14|3USD :$

\\ USD xi(4,4):=( - xi(3,4)**2)/xi(3,6)USD$

\\ and from  equation USD25|3USD :$

\\ USD xi(5,5):=xi(3,5)**2/xi(3,6)USD$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then, one gets from  equation USD23|3USD :$

\\ USD xi(3,4):=xi(2,1)*( - xi(5,3)*xi(3,6) + xi(3,5)*xi(3,3))USD$

\\ and from  equation USD23|6USD :$

\\ USD xi(4,3):=xi(6,6)*xi(5,3)*xi(2,1) - xi(6,5)*xi(3,3)*xi(2,1) + xi(6,4)USD$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then, one gets from  equation USD26|6USD :$

\\ USD xi(5,3):=(xi(6,6)*xi(3,5) - xi(6,5)*xi(3,6) + xi(3,5)*xi(3,3))/xi(3,6)USD
$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then, one gets from  equation USD12|3USD :$

\\ USD xi(4,2):=(xi(6,6)*xi(3,5)*xi(3,2)*xi(2,1) - xi(6,5)*xi(3,6)*xi(3,2)*xi(2,
1) - xi(5,1)*xi(3,6) + xi(3,5)*xi(3,1))/xi(3,6)USD$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then, one gets from  equation USD16|6USD :$

\\ USD xi(6,4):=(xi(2,1)*( - xi(6,6)**2*xi(3,5) + xi(6,6)*xi(6,5)*xi(3,6) - xi(3
,5)))/xi(3,6)USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 3x1 entry in  USD J**2 USD  gives $

\\ USD xi(6,1):=(xi(6,6)*xi(4,1)*xi(3,5)*xi(2,1) - xi(6,5)*xi(4,1)*xi(3,6)*xi(2,
1) - xi(5,1)*xi(3,5) - xi(3,3)*xi(3,1) - xi(3,2)*xi(2,1))/xi(3,6)USD$

\par With these values, \textit{Reduce} computes again all equations.$

Then the 3x6 entry in  USD J**2 USD  gives $

\\ USD xi(3,3):=(xi(6,6)**2*xi(3,5)**2*xi(2,1)**2 - 2*xi(6,6)*xi(6,5)*xi(3,6)*xi
(3,5)*xi(2,1)**2 - xi(6,6)*xi(3,6) + xi(6,5)**2*xi(3,6)**2*xi(2,1)**2 - xi(3,5)
**2)/xi(3,6)USD$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then, one gets from  equation USD15|3USD :$

\\ USD xi(4,5):=(xi(2,1)*(xi(6,6)*xi(3,5)**2 - xi(6,5)*xi(3,6)*xi(3,5) + xi(3,6)
))/xi(3,6)USD$

\par With these values, \textit{Reduce} computes again all equations.$

\\ Then,   equation USD26|4USD reads :$

 USD {2,6}|4\\(xi(3,6)*xi(2,1)**2 + xi(3,6))/xi(2,1)\\$

Hence USD xi(3,6) must be  zero, a contradiction$

HENCE THERE IS NO COMPLEX STRUCTURE ON THE ALGEBRA$

USD {\mathcal{G}}_{6,{m14_(-1)}}.USD$

\end{document}$