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

% and the torsion equation to be canceled$

% on the Lie algebra g_{6,m10}$

% in the case  xi(4,3)=xi(2,1), subcase 2.2 xi(3,3) NEQ xi(1,1)$

matrix J(6,6)$

% Writing the torsion equation in Reduce format:$

COLLECT_EQ:={{{{1,2},1},
j(4,2)*j(1,6) - j(4,1)*j(1,5) + j(3,2)*j(1,5) + j(3,1)*j(1,6) + j(2,2)*j(1,3) + 
j(1,3)*j(1,1)},
{{{1,2},2},
j(4,2)*j(2,6) - j(4,1)*j(2,5) + j(3,2)*j(2,5) + j(3,1)*j(2,6) + j(2,3)*j(2,2) + 
j(2,3)*j(1,1)},
{{{1,2},3},
j(4,2)*j(3,6) - j(4,1)*j(3,5) + j(3,6)*j(3,1) + j(3,5)*j(3,2) + j(3,3)*j(2,2) + 
j(3,3)*j(1,1) - j(2,2)*j(1,1) + j(2,1)*j(1,2) + 1},
{{{1,2},4},
j(4,6)*j(4,2) + j(4,6)*j(3,1) - j(4,5)*j(4,1) + j(4,5)*j(3,2) + j(4,3)*j(2,2) + 
j(4,3)*j(1,1)},
{{{1,2},5},
j(5,6)*j(4,2) + j(5,6)*j(3,1) - j(5,5)*j(4,1) + j(5,5)*j(3,2) + j(5,3)*j(2,2) + 
j(5,3)*j(1,1) - j(4,2)*j(2,1) + j(4,1)*j(2,2) - j(3,2)*j(1,1) + j(3,1)*j(1,2)},
{{{1,2},6},
j(6,6)*j(4,2) + j(6,6)*j(3,1) - j(6,5)*j(4,1) + j(6,5)*j(3,2) + j(6,3)*j(2,2) + 
j(6,3)*j(1,1) - j(4,2)*j(1,1) + j(4,1)*j(1,2) + j(3,2)*j(2,1) - j(3,1)*j(2,2)},
{{{1,3},1},
j(4,3)*j(1,6) + j(3,3)*j(1,5) + j(2,3)*j(1,3) - j(2,1)*j(1,6) + j(1,5)*j(1,1)},
{{{1,3},2},
j(4,3)*j(2,6) + j(3,3)*j(2,5) - j(2,6)*j(2,1) + j(2,5)*j(1,1) + j(2,3)**2},
{{{1,3},3},
j(4,3)*j(3,6) - j(3,6)*j(2,1) + j(3,5)*j(3,3) + j(3,5)*j(1,1) + j(3,3)*j(2,3) - 
j(2,3)*j(1,1) + j(2,1)*j(1,3)},
{{{1,3},4},
j(4,6)*j(4,3) - j(4,6)*j(2,1) + j(4,5)*j(3,3) + j(4,5)*j(1,1) + j(4,3)*j(2,3)},
{{{1,3},5},
j(5,6)*j(4,3) - j(5,6)*j(2,1) + j(5,5)*j(3,3) + j(5,5)*j(1,1) + j(5,3)*j(2,3) - 
j(4,3)*j(2,1) + j(4,1)*j(2,3) - j(3,3)*j(1,1) + j(3,1)*j(1,3) + 1},
{{{1,3},6},
j(6,6)*j(4,3) - j(6,6)*j(2,1) + j(6,5)*j(3,3) + j(6,5)*j(1,1) + j(6,3)*j(2,3) - 
j(4,3)*j(1,1) + j(4,1)*j(1,3) + j(3,3)*j(2,1) - j(3,1)*j(2,3)},
{{{1,4},1},
j(4,4)*j(1,6) + j(3,4)*j(1,5) + j(2,4)*j(1,3) + j(2,1)*j(1,5) + j(1,6)*j(1,1)},
{{{1,4},2},
j(4,4)*j(2,6) + j(3,4)*j(2,5) + j(2,6)*j(1,1) + j(2,5)*j(2,1) + j(2,4)*j(2,3)},
{{{1,4},3},
j(4,4)*j(3,6) + j(3,6)*j(1,1) + j(3,5)*j(3,4) + j(3,5)*j(2,1) + j(3,3)*j(2,4) - 
j(2,4)*j(1,1) + j(2,1)*j(1,4)},
{{{1,4},4},
j(4,6)*j(4,4) + j(4,6)*j(1,1) + j(4,5)*j(3,4) + j(4,5)*j(2,1) + j(4,3)*j(2,4)},
{{{1,4},5},
j(5,6)*j(4,4) + j(5,6)*j(1,1) + j(5,5)*j(3,4) + j(5,5)*j(2,1) + j(5,3)*j(2,4) - 
j(4,4)*j(2,1) + j(4,1)*j(2,4) - j(3,4)*j(1,1) + j(3,1)*j(1,4)},
{{{1,4},6},
j(6,6)*j(4,4) + j(6,6)*j(1,1) + j(6,5)*j(3,4) + j(6,5)*j(2,1) + j(6,3)*j(2,4) - 
j(4,4)*j(1,1) + j(4,1)*j(1,4) + j(3,4)*j(2,1) - j(3,1)*j(2,4) + 1},
{{{1,5},1},
j(4,5)*j(1,6) + j(3,5)*j(1,5) + j(2,5)*j(1,3)},
{{{1,5},2},
j(4,5)*j(2,6) + j(3,5)*j(2,5) + j(2,5)*j(2,3)},
{{{1,5},3},
j(4,5)*j(3,6) + j(3,5)**2 + j(3,3)*j(2,5) - j(2,5)*j(1,1) + j(2,1)*j(1,5)},
{{{1,5},4},
j(4,6)*j(4,5) + j(4,5)*j(3,5) + j(4,3)*j(2,5)},
{{{1,5},5},
j(5,6)*j(4,5) + j(5,5)*j(3,5) + j(5,3)*j(2,5) - j(4,5)*j(2,1) + j(4,1)*j(2,5) - 
j(3,5)*j(1,1) + j(3,1)*j(1,5)},
{{{1,5},6},
j(6,6)*j(4,5) + j(6,5)*j(3,5) + j(6,3)*j(2,5) - j(4,5)*j(1,1) + j(4,1)*j(1,5) + 
j(3,5)*j(2,1) - j(3,1)*j(2,5)},
{{{1,6},1},
j(4,6)*j(1,6) + j(3,6)*j(1,5) + j(2,6)*j(1,3)},
{{{1,6},2},
j(4,6)*j(2,6) + j(3,6)*j(2,5) + j(2,6)*j(2,3)},
{{{1,6},3},
j(4,6)*j(3,6) + j(3,6)*j(3,5) + j(3,3)*j(2,6) - j(2,6)*j(1,1) + j(2,1)*j(1,6)},
{{{1,6},4},
j(4,6)**2 + j(4,5)*j(3,6) + j(4,3)*j(2,6)},
{{{1,6},5},
j(5,6)*j(4,6) + j(5,5)*j(3,6) + j(5,3)*j(2,6) - j(4,6)*j(2,1) + j(4,1)*j(2,6) - 
j(3,6)*j(1,1) + j(3,1)*j(1,6)},
{{{1,6},6},
j(6,6)*j(4,6) + j(6,5)*j(3,6) + j(6,3)*j(2,6) - j(4,6)*j(1,1) + j(4,1)*j(1,6) + 
j(3,6)*j(2,1) - j(3,1)*j(2,6)},
{{{2,3},1},
j(4,3)*j(1,5) - j(3,3)*j(1,6) - j(2,2)*j(1,6) + j(1,5)*j(1,2) - j(1,3)**2},
{{{2,3},2},
j(4,3)*j(2,5) - j(3,3)*j(2,6) - j(2,6)*j(2,2) + j(2,5)*j(1,2) - j(2,3)*j(1,3)},
{{{2,3},3},
j(4,3)*j(3,5) - j(3,6)*j(3,3) - j(3,6)*j(2,2) + j(3,5)*j(1,2) - j(3,3)*j(1,3) - 
j(2,3)*j(1,2) + j(2,2)*j(1,3)},
{{{2,3},4},
 - j(4,6)*j(3,3) - j(4,6)*j(2,2) + j(4,5)*j(4,3) + j(4,5)*j(1,2) - j(4,3)*j(1,3)
},
{{{2,3},5},
 - j(5,6)*j(3,3) - j(5,6)*j(2,2) + j(5,5)*j(4,3) + j(5,5)*j(1,2) - j(5,3)*j(1,3)
 - j(4,3)*j(2,2) + j(4,2)*j(2,3) - j(3,3)*j(1,2) + j(3,2)*j(1,3)},
{{{2,3},6},
 - j(6,6)*j(3,3) - j(6,6)*j(2,2) + j(6,5)*j(4,3) + j(6,5)*j(1,2) - j(6,3)*j(1,3)
 - j(4,3)*j(1,2) + j(4,2)*j(1,3) + j(3,3)*j(2,2) - j(3,2)*j(2,3) - 1},
{{{2,4},1},
j(4,4)*j(1,5) - j(3,4)*j(1,6) + j(2,2)*j(1,5) + j(1,6)*j(1,2) - j(1,4)*j(1,3)},
{{{2,4},2},
j(4,4)*j(2,5) - j(3,4)*j(2,6) + j(2,6)*j(1,2) + j(2,5)*j(2,2) - j(2,3)*j(1,4)},
{{{2,4},3},
j(4,4)*j(3,5) - j(3,6)*j(3,4) + j(3,6)*j(1,2) + j(3,5)*j(2,2) - j(3,3)*j(1,4) - 
j(2,4)*j(1,2) + j(2,2)*j(1,4)},
{{{2,4},4},
 - j(4,6)*j(3,4) + j(4,6)*j(1,2) + j(4,5)*j(4,4) + j(4,5)*j(2,2) - j(4,3)*j(1,4)
},
{{{2,4},5},
 - j(5,6)*j(3,4) + j(5,6)*j(1,2) + j(5,5)*j(4,4) + j(5,5)*j(2,2) - j(5,3)*j(1,4)
 - j(4,4)*j(2,2) + j(4,2)*j(2,4) - j(3,4)*j(1,2) + j(3,2)*j(1,4) + 1},
{{{2,4},6},
 - j(6,6)*j(3,4) + j(6,6)*j(1,2) + j(6,5)*j(4,4) + j(6,5)*j(2,2) - j(6,3)*j(1,4)
 - j(4,4)*j(1,2) + j(4,2)*j(1,4) + j(3,4)*j(2,2) - j(3,2)*j(2,4)},
{{{2,5},1},
j(4,5)*j(1,5) - j(3,5)*j(1,6) - j(1,5)*j(1,3)},
{{{2,5},2},
j(4,5)*j(2,5) - j(3,5)*j(2,6) - j(2,3)*j(1,5)},
{{{2,5},3},
j(4,5)*j(3,5) - j(3,6)*j(3,5) - j(3,3)*j(1,5) - j(2,5)*j(1,2) + j(2,2)*j(1,5)},
{{{2,5},4},
 - j(4,6)*j(3,5) + j(4,5)**2 - j(4,3)*j(1,5)},
{{{2,5},5},
 - j(5,6)*j(3,5) + j(5,5)*j(4,5) - j(5,3)*j(1,5) - j(4,5)*j(2,2) + j(4,2)*j(2,5)
 - j(3,5)*j(1,2) + j(3,2)*j(1,5)},
{{{2,5},6},
 - j(6,6)*j(3,5) + j(6,5)*j(4,5) - j(6,3)*j(1,5) - j(4,5)*j(1,2) + j(4,2)*j(1,5)
 + j(3,5)*j(2,2) - j(3,2)*j(2,5)},
{{{2,6},1},
j(4,6)*j(1,5) - j(3,6)*j(1,6) - j(1,6)*j(1,3)},
{{{2,6},2},
j(4,6)*j(2,5) - j(3,6)*j(2,6) - j(2,3)*j(1,6)},
{{{2,6},3},
j(4,6)*j(3,5) - j(3,6)**2 - j(3,3)*j(1,6) - j(2,6)*j(1,2) + j(2,2)*j(1,6)},
{{{2,6},4},
j(4,6)*j(4,5) - j(4,6)*j(3,6) - j(4,3)*j(1,6)},
{{{2,6},5},
 - j(5,6)*j(3,6) + j(5,5)*j(4,6) - j(5,3)*j(1,6) - j(4,6)*j(2,2) + j(4,2)*j(2,6)
 - j(3,6)*j(1,2) + j(3,2)*j(1,6)},
{{{2,6},6},
 - j(6,6)*j(3,6) + j(6,5)*j(4,6) - j(6,3)*j(1,6) - j(4,6)*j(1,2) + j(4,2)*j(1,6)
 + j(3,6)*j(2,2) - j(3,2)*j(2,6)},
{{{3,4},1},
j(2,4)*j(1,6) + j(2,3)*j(1,5) + j(1,6)*j(1,3) - j(1,5)*j(1,4)},
{{{3,4},2},
j(2,6)*j(2,4) + j(2,6)*j(1,3) + j(2,5)*j(2,3) - j(2,5)*j(1,4)},
{{{3,4},3},
j(3,6)*j(2,4) + j(3,6)*j(1,3) + j(3,5)*j(2,3) - j(3,5)*j(1,4) - j(2,4)*j(1,3) + 
j(2,3)*j(1,4)},
{{{3,4},4},
j(4,6)*j(2,4) + j(4,6)*j(1,3) + j(4,5)*j(2,3) - j(4,5)*j(1,4)},
{{{3,4},5},
j(5,6)*j(2,4) + j(5,6)*j(1,3) + j(5,5)*j(2,3) - j(5,5)*j(1,4) - j(4,4)*j(2,3) + 
j(4,3)*j(2,4) - j(3,4)*j(1,3) + j(3,3)*j(1,4)},
{{{3,4},6},
j(6,6)*j(2,4) + j(6,6)*j(1,3) + j(6,5)*j(2,3) - j(6,5)*j(1,4) - j(4,4)*j(1,3) + 
j(4,3)*j(1,4) + j(3,4)*j(2,3) - j(3,3)*j(2,4)},
{{{3,5},1},j(2,5)*j(1,6) - j(1,5)**2},
{{{3,5},2},j(2,5)*(j(2,6) - j(1,5))},
{{{3,5},3},
j(3,6)*j(2,5) - j(3,5)*j(1,5) - j(2,5)*j(1,3) + j(2,3)*j(1,5)},
{{{3,5},4},j(4,6)*j(2,5) - j(4,5)*j(1,5)},
{{{3,5},5},
j(5,6)*j(2,5) - j(5,5)*j(1,5) - j(4,5)*j(2,3) + j(4,3)*j(2,5) - j(3,5)*j(1,3) + 
j(3,3)*j(1,5)},
{{{3,5},6},
j(6,6)*j(2,5) - j(6,5)*j(1,5) - j(4,5)*j(1,3) + j(4,3)*j(1,5) + j(3,5)*j(2,3) - 
j(3,3)*j(2,5)},
{{{3,6},1},j(1,6)*(j(2,6) - j(1,5))},
{{{3,6},2},j(2,6)**2 - j(2,5)*j(1,6)},
{{{3,6},3},
j(3,6)*j(2,6) - j(3,5)*j(1,6) - j(2,6)*j(1,3) + j(2,3)*j(1,6)},
{{{3,6},4},j(4,6)*j(2,6) - j(4,5)*j(1,6)},
{{{3,6},5},
j(5,6)*j(2,6) - j(5,5)*j(1,6) - j(4,6)*j(2,3) + j(4,3)*j(2,6) - j(3,6)*j(1,3) + 
j(3,3)*j(1,6)},
{{{3,6},6},
j(6,6)*j(2,6) - j(6,5)*j(1,6) - j(4,6)*j(1,3) + j(4,3)*j(1,6) + j(3,6)*j(2,3) - 
j(3,3)*j(2,6)},
{{{4,5},1}, - j(1,5)*(j(2,5) + j(1,6))},
{{{4,5},2}, - (j(2,6)*j(1,5) + j(2,5)**2)},
{{{4,5},3},
 - j(3,6)*j(1,5) - j(3,5)*j(2,5) - j(2,5)*j(1,4) + j(2,4)*j(1,5)},
{{{4,5},4}, - (j(4,6)*j(1,5) + j(4,5)*j(2,5))},
{{{4,5},5},
 - j(5,6)*j(1,5) - j(5,5)*j(2,5) - j(4,5)*j(2,4) + j(4,4)*j(2,5) - j(3,5)*j(1,4)
 + j(3,4)*j(1,5)},
{{{4,5},6},
 - j(6,6)*j(1,5) - j(6,5)*j(2,5) - j(4,5)*j(1,4) + j(4,4)*j(1,5) + j(3,5)*j(2,4)
 - j(3,4)*j(2,5)},
{{{4,6},1}, - (j(2,6)*j(1,5) + j(1,6)**2)},
{{{4,6},2}, - j(2,6)*(j(2,5) + j(1,6))},
{{{4,6},3},
 - j(3,6)*j(1,6) - j(3,5)*j(2,6) - j(2,6)*j(1,4) + j(2,4)*j(1,6)},
{{{4,6},4}, - (j(4,6)*j(1,6) + j(4,5)*j(2,6))},
{{{4,6},5},
 - j(5,6)*j(1,6) - j(5,5)*j(2,6) - j(4,6)*j(2,4) + j(4,4)*j(2,6) - j(3,6)*j(1,4)
 + j(3,4)*j(1,6)},
{{{4,6},6},
 - j(6,6)*j(1,6) - j(6,5)*j(2,6) - j(4,6)*j(1,4) + j(4,4)*j(1,6) + j(3,6)*j(2,4)
 - j(3,4)*j(2,6)},
{{{5,6},3}, - j(2,6)*j(1,5) + j(2,5)*j(1,6)},
{{{5,6},5},
 - j(4,6)*j(2,5) + j(4,5)*j(2,6) - j(3,6)*j(1,5) + j(3,5)*j(1,6)},
{{{5,6},6},
 - j(4,6)*j(1,5) + j(4,5)*j(1,6) + j(3,6)*j(2,5) - j(3,5)*j(2,6)}}$

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

J(1,3):=0$

J(1,4):=0$

J(1,5):=0$

J(1,6):=0$

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

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

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

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

J(3,5):=0$

J(3,6):=0$

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

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

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

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

J(4,5):=0$

J(4,6):=0$

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

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

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

J(5,4):=( - ((xi(6,5)**3*xi(6,3)*xi(3,3)**3 + 3*xi(6,5)**3*xi(6,3)*xi(3,3)**2*xi
(1,1) + 3*xi(6,5)**3*xi(6,3)*xi(3,3)*xi(1,1)**2 + xi(6,5)**3*xi(6,3)*xi(1,1)**3 
- xi(6,5)**2*xi(5,3)*xi(3,3)**4 + 2*xi(6,5)**2*xi(5,3)*xi(3,3)**2*xi(1,1)**2 - 
xi(6,5)**2*xi(5,3)*xi(1,1)**4 + 2*xi(6,5)*xi(6,3)*xi(3,3)**4*xi(1,1) - 2*xi(6,5)
*xi(6,3)*xi(3,3)**3*xi(1,1)**2 - 2*xi(6,5)*xi(6,3)*xi(3,3)**3 - 2*xi(6,5)*xi(6,3
)*xi(3,3)**2*xi(1,1)**3 + 2*xi(6,5)*xi(6,3)*xi(3,3)**2*xi(1,1) + 2*xi(6,5)*xi(6,
3)*xi(3,3)*xi(1,1)**4 + 2*xi(6,5)*xi(6,3)*xi(3,3)*xi(1,1)**2 - 2*xi(6,5)*xi(6,3)
*xi(1,1)**3 - xi(5,3)*xi(3,3)**6 + 2*xi(5,3)*xi(3,3)**5*xi(1,1) + 2*xi(5,3)*xi(3
,3)**4*xi(1,1)**2 + xi(5,3)*xi(3,3)**4 - 8*xi(5,3)*xi(3,3)**3*xi(1,1)**3 - 4*xi(
5,3)*xi(3,3)**3*xi(1,1) + 7*xi(5,3)*xi(3,3)**2*xi(1,1)**4 + 6*xi(5,3)*xi(3,3)**2
*xi(1,1)**2 - 2*xi(5,3)*xi(3,3)*xi(1,1)**5 - 4*xi(5,3)*xi(3,3)*xi(1,1)**3 + xi(5
,3)*xi(1,1)**4)*(xi(3,3) + xi(1,1))*xi(6,5) + (xi(3,3)**2 + 1)*(xi(3,3) - xi(1,1
))**4*(xi(1,1)**2 + 1)*xi(6,3)))/((xi(3,3) + xi(1,1))**3*(xi(3,3) - xi(1,1))**3*
xi(6,5)**2)$

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

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

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

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

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

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

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

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

%where the parameters are subject to the following condition$

%USD xi(3,3) NEQ  \pm xi(1,1) ,  xi(2,1)*xi(3,4)*xi(6,5) \neq 0. USD$

END$