% This file contains the REDUCE data for the general complex structures$

% on the Lie algebra g_{6,4} $

matrix J(6,6)$

% Writing the entries of J:$

% J(i,k) denotes the entry in the ith row , kth column$

% i.e. stands for  the  LaTex expression J^i_k$

% Similarly, xi(i,k) stands for the  LaTex expression \xi^i_k$

J(1,1):=xi(1,1)$

J(1,2):=xi(1,2)$

J(1,3):=0$

J(1,4):=0$

J(1,5):=0$

J(1,6):=0$

J(2,1):= - (xi(1,1)**2 + 1)/xi(1,2)$

J(2,2):= - xi(1,1)$

J(2,3):=0$

J(2,4):=0$

J(2,5):=0$

J(2,6):=0$

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

J(3,2):=xi(3,2)$

J(3,3):=( - xi(5,5)*xi(1,1) + 1)/(xi(5,5) + xi(1,1))$

J(3,4):=xi(3,4)$

J(3,5):=0$

J(3,6):=0$

J(4,1):=(xi(5,5)**2*xi(3,2)*xi(1,1)**2 + xi(5,5)**2*xi(3,2) + xi(5,5)*xi(4,2)*xi
(3,4)*xi(1,1)**2 + xi(5,5)*xi(4,2)*xi(3,4) + xi(4,2)*xi(3,4)*xi(1,1)**3 + xi(4,2
)*xi(3,4)*xi(1,1) + xi(3,2)*xi(1,1)**2 + xi(3,2))/(xi(3,4)*xi(1,2)*(xi(5,5)**2 +
 2*xi(5,5)*xi(1,1) + xi(1,1)**2))$

J(4,2):=xi(4,2)$

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

J(4,4):=(xi(5,5)*xi(1,1) - 1)/(xi(5,5) + xi(1,1))$

J(4,5):=0$

J(4,6):=0$

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

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

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

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

J(5,5):=xi(5,5)$

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

J(6,1):=xi(6,1)$

J(6,2):=xi(6,2)$

J(6,3):=xi(6,3)$

J(6,4):=xi(6,4)$

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

J(6,6):= - xi(5,5)$

%where the parameters are subject to the following condition$

%USD xi(1,2)*xi(3,4)*(xi(1,1) + xi(5,5)) \neq 0. USD$

END$