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

% on the Lie algebra g_{6,8}$

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

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

J(1,3):=0$

J(1,4):=0$

J(1,5):=0$

J(1,6):=0$

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

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

J(2,3):=0$

J(2,4):=0$

J(2,5):=0$

J(2,6):=0$

J(3,1):=xi(3,1)$

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

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

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

J(3,5):=0$

J(3,6):=0$

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

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

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

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

J(4,5):=0$

J(4,6):=0$

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

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

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

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

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

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

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(4,3)*xi(2,1))/(xi(4,3) + xi(2,1))$

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

%where the parameters are subject to the following condition$

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

END$