% This file contains the REDUCE data for the general complex structures$ % on the Lie algebra g_{6,3} in the case xi(6,1) = 0 , xi(2,5)=0.$ 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(3,1)$ J(3,2):=(xi(1,2)*(xi(4,1)*xi(3,4) + xi(3,3)*xi(3,1) + xi(3,1)*xi(1,1)))/(xi(1,1) **2 + 1)$ J(3,3):=xi(3,3)$ J(3,4):=xi(3,4)$ J(3,5):=0$ J(3,6):=0$ J(4,1):=xi(4,1)$ J(4,2):=(xi(1,2)*( - xi(4,1)*xi(3,4)*xi(3,3) + xi(4,1)*xi(3,4)*xi(1,1) - xi(3,3) **2*xi(3,1) - xi(3,1)))/(xi(3,4)*(xi(1,1)**2 + 1))$ J(4,3):= - (xi(3,3)**2 + 1)/xi(3,4)$ J(4,4):= - xi(3,3)$ J(4,5):=0$ J(4,6):=0$ J(5,1):=(xi(6,4)*xi(4,1)*xi(1,2) + xi(6,3)*xi(3,1)*xi(1,2) - xi(6,2)*xi(1,1)**2 - xi(6,2))/(xi(1,1)**2 + 1)$ J(5,2):=(xi(1,2)*( - xi(6,4)*xi(4,1)*xi(3,4)*xi(3,3)*xi(1,2) + xi(6,4)*xi(4,1)* xi(3,4)*xi(1,2)*xi(1,1) - xi(6,4)*xi(3,3)**2*xi(3,1)*xi(1,2) - xi(6,4)*xi(3,1)* xi(1,2) + xi(6,3)*xi(4,1)*xi(3,4)**2*xi(1,2) + xi(6,3)*xi(3,4)*xi(3,3)*xi(3,1)* xi(1,2) + xi(6,3)*xi(3,4)*xi(3,1)*xi(1,2)*xi(1,1) - 2*xi(6,2)*xi(3,4)*xi(1,1)**3 - 2*xi(6,2)*xi(3,4)*xi(1,1) + xi(6,1)*xi(3,4)*xi(1,2)*xi(1,1)**2 + xi(6,1)*xi(3 ,4)*xi(1,2)))/(xi(3,4)*(xi(1,1)**4 + 2*xi(1,1)**2 + 1))$ J(5,3):=(xi(1,2)*( - xi(6,4)*xi(3,3)**2 - xi(6,4) + xi(6,3)*xi(3,4)*xi(3,3) - xi (6,3)*xi(3,4)*xi(1,1)))/(xi(3,4)*(xi(1,1)**2 + 1))$ J(5,4):=(xi(1,2)*( - xi(6,4)*xi(3,3) - xi(6,4)*xi(1,1) + xi(6,3)*xi(3,4)))/(xi(1 ,1)**2 + 1)$ J(5,5):=xi(1,1)$ J(5,6):=xi(1,2)$ 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(1,1)**2 + 1)/xi(1,2)$ J(6,6):= - xi(1,1)$ %where the parameters are subject to the following condition$ %USDxi(1,2)*xi(3,4)\neq 0. USD$ END$