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

% on the Lie algebra g_{6,{m18_(1)}}$

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):=0$

J(1,2):=( - 1)/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):=0$

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(6,5)**2*xi(3,6)**2 + xi(3,5)**2 + xi(6,6)**2*xi(3,5)**2 - (2*xi(6,5)
*xi(3,5) + 1)*xi(6,6)*xi(3,6))/xi(3,6)$

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

J(3,5):=xi(3,5)$

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

J(4,1):=xi(4,1)$

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

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

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

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

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

J(5,1):=xi(5,1)$

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

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

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

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

J(5,6):= - xi(3,5)$

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

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

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

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

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

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

%where the parameters are subject to the following condition$

%USDxi(2,1) =\pm 1 , xi(3,6) \neq 0. USD$

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

END$