generic derivation : delta:= mat((xi(1,1),xi(1,2),0,0,0,0), (xi(2,1),xi(2,2),0,0,0,0), (xi(3,1),xi(3,2),xi(3,3), - xi(1,2),0,0), (xi(4,1),xi(4,2), - xi(2,1),xi(3,3) + xi(2,2) - xi(1,1),0,0), (xi(5,1),xi(5,2),xi(5,3),xi(5,4),xi(2,2) + xi(1,1),0), (xi(6,1),xi(6,2),xi(6,3),xi(6,4),xi(4,2) - xi(3,1),xi(3,3) + xi(2,2))) The nonzero adjoints are delta(6,1), delta(6,2), and delta(5,2)+delta(6,4), -delta(5,1)+delta(6,3) Hence -delta(5,2) and delta(6,4) are adjoint related and so are delta(5,1) and delta(6,3) as well. delta is nilpotent if and only if xi(2,2)=-xi(1,1) , xi(3,3)=xi(1,1) and finally the matrix A:=mat((xi(1,1),xi(1,2)),(xi(2,1),xi(2,2))) is nilpotent generic nilpotent derivation : delta:= [xi(1,1) xi(1,2) 0 0 0 0] [ ] [xi(2,1) - xi(1,1) 0 0 0 0] [ ] [xi(3,1) xi(3,2) xi(1,1) - xi(1,2) 0 0] [ ] [xi(4,1) xi(4,2) - xi(2,1) - xi(1,1) 0 0] [ ] [xi(5,1) xi(5,2) xi(5,3) xi(5,4) 0 0] [ ] [xi(6,1) xi(6,2) xi(6,3) xi(6,4) xi(4,2) - xi(3,1) 0] with A:= [xi(1,1) xi(1,2) ] [ ] [xi(2,1) - xi(1,1)] nilpotent The generic automorphism of g_{6,1} as in (art ijac1 section6) : phi:= mat((b(1,1),b(1,2),0,0,0,0), (b(2,1),b(2,2),0,0,0,0), (b(3,1),b(3,2),b(1,1)*u, - b(1,2)*u,0,0), (b(4,1),b(4,2), - b(2,1)*u,b(2,2)*u,0,0), (b(5,1),b(5,2),b(5,3),b(5,4),b(2,2)*b(1,1) - b(2,1)*b(1,2),0), (b(6,1),b(6,2),b(6,3),b(6,4), b(4,2)*b(1,1) - b(4,1)*b(1,2) + b(3,2)*b(2,1) - b(3,1)*b(2,2), u*(b(2,2)*b(1,1) - b(2,1)*b(1,2)))) 4 3 det(phi):=(b(2,2)*b(1,1) - b(2,1)*b(1,2)) *u We first consider here in this case 1 the case where A neq 0. Then by suitable choice of b(1,1),b(1,2),b(2,1),b(2,2) we can suppose A:= [0 1] [ ] [0 0] generic nilpotent derivation in the case 1 : delta:= [ 0 1 0 0 0 0] [ ] [ 0 0 0 0 0 0] [ ] [xi(3,1) xi(3,2) 0 -1 0 0] [ ] [xi(4,1) xi(4,2) 0 0 0 0] [ ] [xi(5,1) xi(5,2) xi(5,3) xi(5,4) 0 0] [ ] [xi(6,1) xi(6,2) xi(6,3) xi(6,4) xi(4,2) - xi(3,1) 0] by subtracting adjoints one then may suppose xi(5,1)=xi(5,2)=xi(6,1)=xi(6,2)=0 phi:= mat((b(1,1),b(1,2),0,0,0,0), (b(2,1),b(2,2),0,0,0,0), (b(3,1),b(3,2),b(1,1)*u, - b(1,2)*u,0,0), (b(4,1),b(4,2), - b(2,1)*u,b(2,2)*u,0,0), (b(5,1),b(5,2),b(5,3),b(5,4),b(2,2)*b(1,1) - b(2,1)*b(1,2),0), (b(6,1),b(6,2),b(6,3),b(6,4), b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2) + b(4,2)*b(1,1), (b(2,2)*b(1,1) - b(2,1)*b(1,2))*u)) 4 3 det(phi):=(b(2,2)*b(1,1) - b(2,1)*b(1,2)) *u delta:= [ 0 1 0 0 0 0] [ ] [ 0 0 0 0 0 0] [ ] [xi(3,1) xi(3,2) 0 -1 0 0] [ ] [xi(4,1) xi(4,2) 0 0 0 0] [ ] [ 0 0 xi(5,3) xi(5,4) 0 0] [ ] [ 0 0 xi(6,3) xi(6,4) xi(4,2) - xi(3,1) 0] We denote this delta by the shortform shortformdelta:={xi(3,1), xi(3,2), ss, xi(4,1), xi(4,2), ss, xi(5,3), xi(5,4), ss, xi(6,3), xi(6,4)} paramindexeslist:={{3,1},{3,2},{4,1},{4,2},{5,3},{5,4},{6,3},{6,4}} deltaprime:=phi*delta*phi**(-1)$ deltaprime:= mat((( - b(2,1)*b(1,1))/(b(2,2)*b(1,1) - b(2,1)*b(1,2)),b(1,1)**2/(b(2,2)*b(1,1) - b(2,1)*b(1,2)),0,0,0,0),(( - b(2,1)**2)/(b(2,2)*b(1,1) - b(2,1)*b(1,2)),(b(2, 1)*b(1,1))/(b(2,2)*b(1,1) - b(2,1)*b(1,2)),0,0,0,0),(( - (((b(3,2)*b(2,1) - b(3, 1)*b(2,2))*b(2,1) - b(4,1)*b(2,2)*b(1,1) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2 ,2)*xi(3,1) - b(2,1)*xi(3,2))*u - b(4,2)*b(2,1)*b(1,1)))*b(1,1) + ((b(2,2)*xi(4, 1) - b(2,1)*xi(4,2))*b(1,2)*u + b(3,1)*b(2,1))*(b(2,2)*b(1,1) - b(2,1)*b(1,2)))) /(b(2,2)*b(1,1) - b(2,1)*b(1,2))**2,(((b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,1) - b (4,1)*b(1,2)*b(1,1) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(3,1) - b(1,1)* xi(3,2))*u - b(4,2)*b(1,1)**2))*b(1,1) + ((b(1,2)*xi(4,1) - b(1,1)*xi(4,2))*b(1, 2)*u + b(3,1)*b(1,1))*(b(2,2)*b(1,1) - b(2,1)*b(1,2)))/(b(2,2)*b(1,1) - b(2,1)*b (1,2))**2,( - b(2,1)*b(1,1))/(b(2,2)*b(1,1) - b(2,1)*b(1,2)),( - b(1,1)**2)/(b(2 ,2)*b(1,1) - b(2,1)*b(1,2)),0,0),((((b(3,2)*b(2,1) - b(3,1)*b(2,2))*b(2,1) - b(4 ,1)*b(2,2)*b(1,1) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(3,1) - b(2,1)*xi (3,2))*u - b(4,2)*b(2,1)*b(1,1)))*b(2,1) + ((b(2,2)*xi(4,1) - b(2,1)*xi(4,2))*b( 2,2)*u - b(4,1)*b(2,1))*(b(2,2)*b(1,1) - b(2,1)*b(1,2)))/(b(2,2)*b(1,1) - b(2,1) *b(1,2))**2,( - (((b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,1) - b(4,1)*b(1,2)*b(1,1) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(3,1) - b(1,1)*xi(3,2))*u - b(4,2)* b(1,1)**2))*b(2,1) + ((b(1,2)*xi(4,1) - b(1,1)*xi(4,2))*b(2,2)*u - b(4,1)*b(1,1) )*(b(2,2)*b(1,1) - b(2,1)*b(1,2))))/(b(2,2)*b(1,1) - b(2,1)*b(1,2))**2,b(2,1)**2 /(b(2,2)*b(1,1) - b(2,1)*b(1,2)),(b(2,1)*b(1,1))/(b(2,2)*b(1,1) - b(2,1)*b(1,2)) ,0,0),(((((b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2))*b(2,2) + b(4,2)*b(2,1) *b(1,2))*xi(5,3) + (b(2,2)*xi(4,1) - b(2,1)*xi(4,2))*b(5,4)*u + ((b(3,2)*b(2,1) - b(3,1)*b(2,2))*b(2,1) - b(4,1)*b(2,2)*b(1,1) + b(4,2)*b(2,1)*b(1,1))*xi(5,4))* (b(2,2)*b(1,1) - b(2,1)*b(1,2)) - (((b(3,2)*b(2,1) - b(3,1)*b(2,2))*b(2,1) - b(4 ,1)*b(2,2)*b(1,1) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(3,1) - b(2,1)*xi (3,2))*u - b(4,2)*b(2,1)*b(1,1)))*b(5,3) + (b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(5,1 )*b(2,1)*u))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))**2*u),( - ((((b(3,2)*b(1,1) - b(3, 1)*b(1,2))*b(2,1) - b(4,1)*b(1,2)*b(1,1) + b(4,2)*b(1,1)**2)*xi(5,4) + (b(1,2)* xi(4,1) - b(1,1)*xi(4,2))*b(5,4)*u + ((b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,2) - b (4,1)*b(1,2)**2 + b(4,2)*b(1,2)*b(1,1))*xi(5,3))*(b(2,2)*b(1,1) - b(2,1)*b(1,2)) - (((b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,1) - b(4,1)*b(1,2)*b(1,1) - ((b(2,2)*b( 1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(3,1) - b(1,1)*xi(3,2))*u - b(4,2)*b(1,1)**2))*b (5,3) + (b(2,2)*b(1,1) - b(2,1)*b(1,2))*b(5,1)*b(1,1)*u)))/((b(2,2)*b(1,1) - b(2 ,1)*b(1,2))**2*u),((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(5,3) + b(2,1)*xi(5 ,4)) - b(5,3)*b(2,1))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u),((b(2,2)*b(1,1) - b(2, 1)*b(1,2))*(b(1,2)*xi(5,3) + b(1,1)*xi(5,4)) - b(5,3)*b(1,1))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u),0,0),(( - (((((b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2))* b(2,2) + b(4,2)*b(2,1)*b(1,2))*b(5,3) - (b(5,2)*b(2,1) - b(5,1)*b(2,2))*(b(2,2)* b(1,1) - b(2,1)*b(1,2))*u + ((b(3,2)*b(2,1) - b(3,1)*b(2,2))*b(2,1) - b(4,1)*b(2 ,2)*b(1,1) + b(4,2)*b(2,1)*b(1,1))*b(5,4))*(xi(4,2) - xi(3,1)) - (((b(3,2)*b(2,1 ) - b(3,1)*b(2,2))*b(2,1) - b(4,1)*b(2,2)*b(1,1) + b(4,2)*b(2,1)*b(1,1))*xi(6,4) + ((b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2))*b(2,2) + b(4,2)*b(2,1)*b(1,2 ))*xi(6,3))*(b(2,2)*b(1,1) - b(2,1)*b(1,2)))*u + ((b(3,2)*b(2,1) - b(3,1)*b(2,2) )*b(2,1) - b(4,1)*b(2,2)*b(1,1) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(3, 1) - b(2,1)*xi(3,2))*u - b(4,2)*b(2,1)*b(1,1)))*b(6,3) - ((b(2,2)*xi(4,1) - b(2, 1)*xi(4,2))*b(6,4) - b(6,1)*b(2,1))*(b(2,2)*b(1,1) - b(2,1)*b(1,2))*u - (((b(3,2 )*b(2,1) - b(3,1)*b(2,2))*b(2,1) - b(4,1)*b(2,2)*b(1,1) + b(4,2)*b(2,1)*b(1,1))* xi(5,4) + ((b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2))*b(2,2) + b(4,2)*b(2,1 )*b(1,2))*xi(5,3))*(b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2) + b(4,2)*b(1,1 ))))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))**2*u),(((((b(3,2)*b(1,1) - b(3,1)*b(1,2))* b(2,2) - b(4,1)*b(1,2)**2 + b(4,2)*b(1,2)*b(1,1))*b(5,3) - (b(5,2)*b(1,1) - b(5, 1)*b(1,2))*(b(2,2)*b(1,1) - b(2,1)*b(1,2))*u + ((b(3,2)*b(1,1) - b(3,1)*b(1,2))* b(2,1) - b(4,1)*b(1,2)*b(1,1) + b(4,2)*b(1,1)**2)*b(5,4))*(xi(4,2) - xi(3,1)) - (((b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,2) - b(4,1)*b(1,2)**2 + b(4,2)*b(1,2)*b(1, 1))*xi(6,3) + ((b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,1) - b(4,1)*b(1,2)*b(1,1) + b (4,2)*b(1,1)**2)*xi(6,4))*(b(2,2)*b(1,1) - b(2,1)*b(1,2)))*u - ((((b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,2) - b(4,1)*b(1,2)**2 + b(4,2)*b(1,2)*b(1,1))*xi(5,3) + (( b(3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,1) - b(4,1)*b(1,2)*b(1,1) + b(4,2)*b(1,1)**2) *xi(5,4))*(b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2) + b(4,2)*b(1,1)) - (((b (3,2)*b(1,1) - b(3,1)*b(1,2))*b(2,1) - b(4,1)*b(1,2)*b(1,1) - ((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(3,1) - b(1,1)*xi(3,2))*u - b(4,2)*b(1,1)**2))*b(6,3) - ((b(1,2)*xi(4,1) - b(1,1)*xi(4,2))*b(6,4) - b(6,1)*b(1,1))*(b(2,2)*b(1,1) - b(2 ,1)*b(1,2))*u)))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))**2*u),( - (((b(5,4)*b(2,1) + b (5,3)*b(2,2))*(xi(4,2) - xi(3,1)) - (b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(6 ,3) + b(2,1)*xi(6,4)))*u + b(6,3)*b(2,1) - (b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4, 1)*b(1,2) + b(4,2)*b(1,1))*(b(2,2)*xi(5,3) + b(2,1)*xi(5,4))))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u),( - (((b(5,4)*b(1,1) + b(5,3)*b(1,2))*(xi(4,2) - xi(3,1)) - ( b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(6,3) + b(1,1)*xi(6,4)))*u + b(6,3)*b(1 ,1) - (b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2) + b(4,2)*b(1,1))*(b(1,2)*xi (5,3) + b(1,1)*xi(5,4))))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u),(xi(4,2) - xi(3,1) )*u,0))$ deltaprime(3,1):=( - (((b(4,2)*b(2,1) - b(4,1)*b(2,2))*b(1,1) - (b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(3,1) - b(2,1)*xi(3,2))*u + (b(3,2)*b(2,1) - b(3,1)*b( 2,2))*b(2,1))*b(1,1) + ((b(2,2)*xi(4,1) - b(2,1)*xi(4,2))*b(1,2)*u + b(3,1)*b(2, 1))*(b(2,2)*b(1,1) - b(2,1)*b(1,2))))/(b(2,2)*b(1,1) - b(2,1)*b(1,2))**2$ deltaprime(3,2):=(((b(4,2)*b(1,1) - b(4,1)*b(1,2))*b(1,1) - (b(2,2)*b(1,1) - b(2 ,1)*b(1,2))*(b(1,2)*xi(3,1) - b(1,1)*xi(3,2))*u + (b(3,2)*b(1,1) - b(3,1)*b(1,2) )*b(2,1))*b(1,1) + ((b(1,2)*xi(4,1) - b(1,1)*xi(4,2))*b(1,2)*u + b(3,1)*b(1,1))* (b(2,2)*b(1,1) - b(2,1)*b(1,2)))/(b(2,2)*b(1,1) - b(2,1)*b(1,2))**2$ deltaprime(4,1):=(((b(4,2)*b(2,1) - b(4,1)*b(2,2))*b(1,1) - (b(2,2)*b(1,1) - b(2 ,1)*b(1,2))*(b(2,2)*xi(3,1) - b(2,1)*xi(3,2))*u + (b(3,2)*b(2,1) - b(3,1)*b(2,2) )*b(2,1))*b(2,1) + ((b(2,2)*xi(4,1) - b(2,1)*xi(4,2))*b(2,2)*u - b(4,1)*b(2,1))* (b(2,2)*b(1,1) - b(2,1)*b(1,2)))/(b(2,2)*b(1,1) - b(2,1)*b(1,2))**2$ deltaprime(4,2):=( - (((b(4,2)*b(1,1) - b(4,1)*b(1,2))*b(1,1) - (b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(3,1) - b(1,1)*xi(3,2))*u + (b(3,2)*b(1,1) - b(3,1)*b( 1,2))*b(2,1))*b(2,1) + ((b(1,2)*xi(4,1) - b(1,1)*xi(4,2))*b(2,2)*u - b(4,1)*b(1, 1))*(b(2,2)*b(1,1) - b(2,1)*b(1,2))))/(b(2,2)*b(1,1) - b(2,1)*b(1,2))**2$ deltaprime(5,3):=((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(5,3) + b(2,1)*xi(5, 4)) - b(5,3)*b(2,1))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u)$ deltaprime(5,4):=((b(2,2)*b(1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(5,3) + b(1,1)*xi(5, 4)) - b(5,3)*b(1,1))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u)$ deltaprime(6,3):=( - (((b(5,4)*b(2,1) + b(5,3)*b(2,2))*(xi(4,2) - xi(3,1)) - (b( 2,2)*b(1,1) - b(2,1)*b(1,2))*(b(2,2)*xi(6,3) + b(2,1)*xi(6,4)))*u + b(6,3)*b(2,1 ) - (b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2) + b(4,2)*b(1,1))*(b(2,2)*xi(5 ,3) + b(2,1)*xi(5,4))))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u)$ deltaprime(6,4):=( - (((b(5,4)*b(1,1) + b(5,3)*b(1,2))*(xi(4,2) - xi(3,1)) - (b( 2,2)*b(1,1) - b(2,1)*b(1,2))*(b(1,2)*xi(6,3) + b(1,1)*xi(6,4)))*u + b(6,3)*b(1,1 ) - (b(3,2)*b(2,1) - b(3,1)*b(2,2) - b(4,1)*b(1,2) + b(4,2)*b(1,1))*(b(1,2)*xi(5 ,3) + b(1,1)*xi(5,4))))/((b(2,2)*b(1,1) - b(2,1)*b(1,2))*u)$ det(phi):=(b(2,2)*b(1,1) - b(2,1)*b(1,2))**4*u**3$ we keep deltaprime(1,2)=k (k nonzero), xi(1,1)=xi(2,1)=0 if we take$ b(1,1):=b(2,2)*k$ b(2,1):=0$ deltaprime(3,1):=((b(4,1) + b(2,2)*xi(3,1)*u)*k - b(1,2)*xi(4,1)*u)/(b(2,2)*k)$ deltaprime(3,2):=((b(4,2)*b(2,2)*k - b(4,1)*b(1,2) + (b(2,2)*xi(3,2)*k - b(1,2)* xi(3,1))*b(2,2)*u)*k - ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b( 2,2)*k))/(b(2,2)**2*k)$ deltaprime(4,1):=(xi(4,1)*u)/k$ deltaprime(4,2):=((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*u + b(4,1)*k)/(b(2,2)*k)$ deltaprime(5,3):=(b(2,2)*xi(5,3))/u$ deltaprime(5,4):=((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*b(2,2) - b(5,3))/(b(2,2)*u )$ deltaprime(6,3):=( - ((b(4,1)*b(1,2) + b(3,1)*b(2,2) - b(4,2)*b(2,2)*k)*xi(5,3) + ((xi(4,2) - xi(3,1))*b(5,3) - b(2,2)**2*xi(6,3)*k)*u))/(b(2,2)*k*u)$ deltaprime(6,4):=( - ((b(4,1)*b(1,2) + b(3,1)*b(2,2) - b(4,2)*b(2,2)*k)*(b(2,2)* xi(5,4)*k + b(1,2)*xi(5,3)) + b(6,3)*b(2,2)*k + ((b(5,4)*b(2,2)*k + b(5,3)*b(1,2 ))*(xi(4,2) - xi(3,1)) - (b(2,2)*xi(6,4)*k + b(1,2)*xi(6,3))*b(2,2)**2*k)*u))/(b (2,2)**2*k*u)$ det(phi):=b(2,2)**8*k**4*u**3$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),(((b(4,1) + b(2,2)*xi(3,1)*u)*k - b(1,2)*xi(4,1) *u)/(b(2,2)*k),((b(4,2)*b(2,2)*k - b(4,1)*b(1,2) + (b(2,2)*xi(3,2)*k - b(1,2)*xi (3,1))*b(2,2)*u)*k - ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2, 2)*k))/(b(2,2)**2*k),0, - k,0,0),((xi(4,1)*u)/k,((b(2,2)*xi(4,2)*k - b(1,2)*xi(4 ,1))*u + b(4,1)*k)/(b(2,2)*k),0,0,0,0),(((b(5,4)*xi(4,1)*u - b(4,1)*b(2,2)*xi(5, 4)*k - (b(4,1)*b(1,2) + b(3,1)*b(2,2))*xi(5,3))*b(2,2) + (b(4,1) + b(2,2)*xi(3,1 )*u)*b(5,3))/(b(2,2)**2*k*u),( - (((b(4,2)*b(2,2)*k - b(4,1)*b(1,2))*b(2,2)*xi(5 ,4)*k - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(5,4)*u + ((b(4,2)*b(2,2)*k - b(4,1 )*b(1,2))*b(1,2) + (b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2))*xi(5,3))*b(2,2) - ( (b(4,2)*b(2,2)*k - b(4,1)*b(1,2) + (b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*b(2,2)*u) *b(5,3) + b(5,1)*b(2,2)**2*k*u)))/(b(2,2)**3*k*u),(b(2,2)*xi(5,3))/u,((b(2,2)*xi (5,4)*k + b(1,2)*xi(5,3))*b(2,2) - b(5,3))/(b(2,2)*u),0,0),(((((b(5,4)*b(4,1) - b(5,1)*b(2,2)*u)*b(2,2)*k + (b(4,1)*b(1,2) + b(3,1)*b(2,2))*b(5,3))*(xi(4,2) - xi(3,1)) - ((b(4,1)*b(1,2) + b(3,1)*b(2,2))*xi(6,3) + b(4,1)*b(2,2)*xi(6,4)*k)*b (2,2)**2*k)*u + ((b(4,1)*b(1,2) + b(3,1)*b(2,2))*xi(5,3) + b(4,1)*b(2,2)*xi(5,4) *k)*(b(4,1)*b(1,2) + b(3,1)*b(2,2) - b(4,2)*b(2,2)*k) + ((b(4,1) + b(2,2)*xi(3,1 )*u)*b(6,3) + b(6,4)*b(2,2)*xi(4,1)*u)*b(2,2)*k)/(b(2,2)**3*k**2*u),( - (((((b(5 ,2)*b(2,2)*k - b(5,1)*b(1,2))*b(2,2)*u - (b(4,2)*b(2,2)*k - b(4,1)*b(1,2))*b(5,4 ))*b(2,2)*k - ((b(4,2)*b(2,2)*k - b(4,1)*b(1,2))*b(1,2) + (b(3,2)*b(2,2)*k - b(3 ,1)*b(1,2))*b(2,2))*b(5,3))*(xi(4,2) - xi(3,1)) + (((b(4,2)*b(2,2)*k - b(4,1)*b( 1,2))*b(1,2) + (b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2))*xi(6,3) + (b(4,2)*b(2,2 )*k - b(4,1)*b(1,2))*b(2,2)*xi(6,4)*k)*b(2,2)**2*k)*u - ((((b(4,2)*b(2,2)*k - b( 4,1)*b(1,2))*b(1,2) + (b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2))*xi(5,3) + (b(4,2 )*b(2,2)*k - b(4,1)*b(1,2))*b(2,2)*xi(5,4)*k)*(b(4,1)*b(1,2) + b(3,1)*b(2,2) - b (4,2)*b(2,2)*k) + ((b(4,2)*b(2,2)*k - b(4,1)*b(1,2) + (b(2,2)*xi(3,2)*k - b(1,2) *xi(3,1))*b(2,2)*u)*b(6,3) + ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(6,4) + b(6,1 )*b(2,2)*k)*b(2,2)*u)*b(2,2)*k)))/(b(2,2)**4*k**2*u),( - ((b(4,1)*b(1,2) + b(3,1 )*b(2,2) - b(4,2)*b(2,2)*k)*xi(5,3) + ((xi(4,2) - xi(3,1))*b(5,3) - b(2,2)**2*xi (6,3)*k)*u))/(b(2,2)*k*u),( - ((b(4,1)*b(1,2) + b(3,1)*b(2,2) - b(4,2)*b(2,2)*k) *(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3)) + b(6,3)*b(2,2)*k + ((b(5,4)*b(2,2)*k + b(5 ,3)*b(1,2))*(xi(4,2) - xi(3,1)) - (b(2,2)*xi(6,4)*k + b(1,2)*xi(6,3))*b(2,2)**2* k)*u))/(b(2,2)**2*k*u),(xi(4,2) - xi(3,1))*u,0))$ deltaprime(5,1):=((b(5,4)*xi(4,1)*u - b(4,1)*b(2,2)*xi(5,4)*k - (b(4,1)*b(1,2) + b(3,1)*b(2,2))*xi(5,3))*b(2,2) + (b(4,1) + b(2,2)*xi(3,1)*u)*b(5,3))/(b(2,2)**2 *k*u)$ deltaprime(5,2):=( - (((b(4,2)*b(2,2)*k - b(4,1)*b(1,2))*b(2,2)*xi(5,4)*k - (b(2 ,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(5,4)*u + ((b(4,2)*b(2,2)*k - b(4,1)*b(1,2))*b( 1,2) + (b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2))*xi(5,3))*b(2,2) - ((b(4,2)*b(2, 2)*k - b(4,1)*b(1,2) + (b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*b(2,2)*u)*b(5,3) + b( 5,1)*b(2,2)**2*k*u)))/(b(2,2)**3*k*u)$ Then one may suppose xi(4,2):= 0 by taking$ b(4,1):=( - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*u)/k$ deltaprime(3,1):=u*( - xi(4,2) + xi(3,1))$ deltaprime(3,2):=(b(4,2)*k + b(3,1) + b(2,2)*xi(3,2)*k*u - b(1,2)*xi(3,1)*u)/b(2 ,2)$ deltaprime(4,1):=(xi(4,1)*u)/k$ deltaprime(4,2):=0$ deltaprime(5,3):=(b(2,2)*xi(5,3))/u$ deltaprime(5,4):=( - b(5,3) + b(2,2)**2*xi(5,4)*k + b(2,2)*b(1,2)*xi(5,3))/(b(2, 2)*u)$ deltaprime(6,3):=( - b(5,3)*xi(4,2)*k*u + b(5,3)*xi(3,1)*k*u + b(4,2)*b(2,2)*xi( 5,3)*k**2 - b(3,1)*b(2,2)*xi(5,3)*k + b(2,2)**2*xi(6,3)*k**2*u + b(2,2)*b(1,2)* xi(5,3)*xi(4,2)*k*u - b(1,2)**2*xi(5,3)*xi(4,1)*u)/(b(2,2)*k**2*u)$ deltaprime(6,4):=( - b(6,3)*b(2,2)*k**2 - b(5,4)*b(2,2)*xi(4,2)*k**2*u + b(5,4)* b(2,2)*xi(3,1)*k**2*u - b(5,3)*b(1,2)*xi(4,2)*k*u + b(5,3)*b(1,2)*xi(3,1)*k*u + b(4,2)*b(2,2)**2*xi(5,4)*k**3 + b(4,2)*b(2,2)*b(1,2)*xi(5,3)*k**2 - b(3,1)*b(2,2 )**2*xi(5,4)*k**2 - b(3,1)*b(2,2)*b(1,2)*xi(5,3)*k + b(2,2)**3*xi(6,4)*k**3*u + b(2,2)**2*b(1,2)*xi(6,3)*k**2*u + b(2,2)**2*b(1,2)*xi(5,4)*xi(4,2)*k**2*u - b(2, 2)*b(1,2)**2*xi(5,4)*xi(4,1)*k*u + b(2,2)*b(1,2)**2*xi(5,3)*xi(4,2)*k*u - b(1,2) **3*xi(5,3)*xi(4,1)*u)/(b(2,2)**2*k**2*u)$ det(phi):=b(2,2)**8*k**4*u**3$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),(u*( - xi(4,2) + xi(3,1)),(b(4,2)*k + b(3,1) + b (2,2)*xi(3,2)*k*u - b(1,2)*xi(3,1)*u)/b(2,2),0, - k,0,0),((xi(4,1)*u)/k,0,0,0,0, 0),((b(5,4)*b(2,2)*xi(4,1)*k*u - b(5,3)*b(2,2)*xi(4,2)*k*u + b(5,3)*b(2,2)*xi(3, 1)*k*u + b(5,3)*b(1,2)*xi(4,1)*u - b(3,1)*b(2,2)**2*xi(5,3)*k + b(2,2)**3*xi(5,4 )*xi(4,2)*k**2*u - b(2,2)**2*b(1,2)*xi(5,4)*xi(4,1)*k*u + b(2,2)**2*b(1,2)*xi(5, 3)*xi(4,2)*k*u - b(2,2)*b(1,2)**2*xi(5,3)*xi(4,1)*u)/(b(2,2)**2*k**2*u),(b(5,4)* b(2,2)**2*xi(4,2)*k**2*u - b(5,4)*b(2,2)*b(1,2)*xi(4,1)*k*u + b(5,3)*b(4,2)*b(2, 2)*k**2 + b(5,3)*b(2,2)**2*xi(3,2)*k**2*u + b(5,3)*b(2,2)*b(1,2)*xi(4,2)*k*u - b (5,3)*b(2,2)*b(1,2)*xi(3,1)*k*u - b(5,3)*b(1,2)**2*xi(4,1)*u + b(5,1)*b(2,2)**2* k**2*u - b(4,2)*b(2,2)**3*xi(5,4)*k**3 - b(4,2)*b(2,2)**2*b(1,2)*xi(5,3)*k**2 - b(3,2)*b(2,2)**3*xi(5,3)*k**2 + b(3,1)*b(2,2)**2*b(1,2)*xi(5,3)*k - b(2,2)**3*b( 1,2)*xi(5,4)*xi(4,2)*k**2*u + b(2,2)**2*b(1,2)**2*xi(5,4)*xi(4,1)*k*u - b(2,2)** 2*b(1,2)**2*xi(5,3)*xi(4,2)*k*u + b(2,2)*b(1,2)**3*xi(5,3)*xi(4,1)*u)/(b(2,2)**3 *k**2*u),(b(2,2)*xi(5,3))/u,( - b(5,3) + b(2,2)**2*xi(5,4)*k + b(2,2)*b(1,2)*xi( 5,3))/(b(2,2)*u),0,0),((b(6,4)*b(2,2)**2*xi(4,1)*k**3*u - b(6,3)*b(2,2)**2*xi(4, 2)*k**3*u + b(6,3)*b(2,2)**2*xi(3,1)*k**3*u + b(6,3)*b(2,2)*b(1,2)*xi(4,1)*k**2* u - b(5,4)*b(2,2)**2*xi(4,2)**2*k**3*u**2 + b(5,4)*b(2,2)**2*xi(4,2)*xi(3,1)*k** 3*u**2 + b(5,4)*b(2,2)*b(1,2)*xi(4,2)*xi(4,1)*k**2*u**2 - b(5,4)*b(2,2)*b(1,2)* xi(4,1)*xi(3,1)*k**2*u**2 + b(5,3)*b(3,1)*b(2,2)*xi(4,2)*k**2*u - b(5,3)*b(3,1)* b(2,2)*xi(3,1)*k**2*u - b(5,3)*b(2,2)*b(1,2)*xi(4,2)**2*k**2*u**2 + b(5,3)*b(2,2 )*b(1,2)*xi(4,2)*xi(3,1)*k**2*u**2 + b(5,3)*b(1,2)**2*xi(4,2)*xi(4,1)*k*u**2 - b (5,3)*b(1,2)**2*xi(4,1)*xi(3,1)*k*u**2 - b(5,1)*b(2,2)**2*xi(4,2)*k**3*u**2 + b( 5,1)*b(2,2)**2*xi(3,1)*k**3*u**2 - b(4,2)*b(3,1)*b(2,2)**2*xi(5,3)*k**3 + b(4,2) *b(2,2)**3*xi(5,4)*xi(4,2)*k**4*u - b(4,2)*b(2,2)**2*b(1,2)*xi(5,4)*xi(4,1)*k**3 *u + b(4,2)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)*k**3*u - b(4,2)*b(2,2)*b(1,2)**2*xi (5,3)*xi(4,1)*k**2*u + b(3,1)**2*b(2,2)**2*xi(5,3)*k**2 - b(3,1)*b(2,2)**3*xi(6, 3)*k**3*u - b(3,1)*b(2,2)**3*xi(5,4)*xi(4,2)*k**3*u + b(3,1)*b(2,2)**2*b(1,2)*xi (5,4)*xi(4,1)*k**2*u - 2*b(3,1)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)*k**2*u + 2*b(3, 1)*b(2,2)*b(1,2)**2*xi(5,3)*xi(4,1)*k*u + b(2,2)**4*xi(6,4)*xi(4,2)*k**4*u**2 - b(2,2)**3*b(1,2)*xi(6,4)*xi(4,1)*k**3*u**2 + b(2,2)**3*b(1,2)*xi(6,3)*xi(4,2)*k **3*u**2 + b(2,2)**3*b(1,2)*xi(5,4)*xi(4,2)**2*k**3*u**2 - b(2,2)**2*b(1,2)**2* xi(6,3)*xi(4,1)*k**2*u**2 - 2*b(2,2)**2*b(1,2)**2*xi(5,4)*xi(4,2)*xi(4,1)*k**2*u **2 + b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,2)**2*k**2*u**2 + b(2,2)*b(1,2)**3*xi(5,4 )*xi(4,1)**2*k*u**2 - 2*b(2,2)*b(1,2)**3*xi(5,3)*xi(4,2)*xi(4,1)*k*u**2 + b(1,2) **4*xi(5,3)*xi(4,1)**2*u**2)/(b(2,2)**3*k**4*u),(b(6,4)*b(2,2)**3*xi(4,2)*k**4*u - b(6,4)*b(2,2)**2*b(1,2)*xi(4,1)*k**3*u + b(6,3)*b(4,2)*b(2,2)**2*k**4 + b(6,3 )*b(2,2)**3*xi(3,2)*k**4*u + b(6,3)*b(2,2)**2*b(1,2)*xi(4,2)*k**3*u - b(6,3)*b(2 ,2)**2*b(1,2)*xi(3,1)*k**3*u - b(6,3)*b(2,2)*b(1,2)**2*xi(4,1)*k**2*u + b(6,1)*b (2,2)**3*k**4*u + b(5,4)*b(4,2)*b(2,2)**2*xi(4,2)*k**4*u - b(5,4)*b(4,2)*b(2,2) **2*xi(3,1)*k**4*u + b(5,4)*b(2,2)**2*b(1,2)*xi(4,2)**2*k**3*u**2 - b(5,4)*b(2,2 )**2*b(1,2)*xi(4,2)*xi(3,1)*k**3*u**2 - b(5,4)*b(2,2)*b(1,2)**2*xi(4,2)*xi(4,1)* k**2*u**2 + b(5,4)*b(2,2)*b(1,2)**2*xi(4,1)*xi(3,1)*k**2*u**2 + b(5,3)*b(4,2)*b( 2,2)*b(1,2)*xi(4,2)*k**3*u - b(5,3)*b(4,2)*b(2,2)*b(1,2)*xi(3,1)*k**3*u + b(5,3) *b(3,2)*b(2,2)**2*xi(4,2)*k**3*u - b(5,3)*b(3,2)*b(2,2)**2*xi(3,1)*k**3*u - b(5, 3)*b(3,1)*b(2,2)*b(1,2)*xi(4,2)*k**2*u + b(5,3)*b(3,1)*b(2,2)*b(1,2)*xi(3,1)*k** 2*u + b(5,3)*b(2,2)*b(1,2)**2*xi(4,2)**2*k**2*u**2 - b(5,3)*b(2,2)*b(1,2)**2*xi( 4,2)*xi(3,1)*k**2*u**2 - b(5,3)*b(1,2)**3*xi(4,2)*xi(4,1)*k*u**2 + b(5,3)*b(1,2) **3*xi(4,1)*xi(3,1)*k*u**2 - b(5,2)*b(2,2)**3*xi(4,2)*k**4*u**2 + b(5,2)*b(2,2) **3*xi(3,1)*k**4*u**2 + b(5,1)*b(2,2)**2*b(1,2)*xi(4,2)*k**3*u**2 - b(5,1)*b(2,2 )**2*b(1,2)*xi(3,1)*k**3*u**2 - b(4,2)**2*b(2,2)**3*xi(5,4)*k**5 - b(4,2)**2*b(2 ,2)**2*b(1,2)*xi(5,3)*k**4 - b(4,2)*b(3,2)*b(2,2)**3*xi(5,3)*k**4 + b(4,2)*b(3,1 )*b(2,2)**3*xi(5,4)*k**4 + 2*b(4,2)*b(3,1)*b(2,2)**2*b(1,2)*xi(5,3)*k**3 - b(4,2 )*b(2,2)**4*xi(6,4)*k**5*u - b(4,2)*b(2,2)**3*b(1,2)*xi(6,3)*k**4*u - 2*b(4,2)*b (2,2)**3*b(1,2)*xi(5,4)*xi(4,2)*k**4*u + 2*b(4,2)*b(2,2)**2*b(1,2)**2*xi(5,4)*xi (4,1)*k**3*u - 2*b(4,2)*b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,2)*k**3*u + 2*b(4,2)*b( 2,2)*b(1,2)**3*xi(5,3)*xi(4,1)*k**2*u + b(3,2)*b(3,1)*b(2,2)**3*xi(5,3)*k**3 - b (3,2)*b(2,2)**4*xi(6,3)*k**4*u - b(3,2)*b(2,2)**3*b(1,2)*xi(5,3)*xi(4,2)*k**3*u + b(3,2)*b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,1)*k**2*u - b(3,1)**2*b(2,2)**2*b(1,2) *xi(5,3)*k**2 + b(3,1)*b(2,2)**3*b(1,2)*xi(6,3)*k**3*u + b(3,1)*b(2,2)**3*b(1,2) *xi(5,4)*xi(4,2)*k**3*u - b(3,1)*b(2,2)**2*b(1,2)**2*xi(5,4)*xi(4,1)*k**2*u + 2* b(3,1)*b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,2)*k**2*u - 2*b(3,1)*b(2,2)*b(1,2)**3*xi (5,3)*xi(4,1)*k*u - b(2,2)**4*b(1,2)*xi(6,4)*xi(4,2)*k**4*u**2 + b(2,2)**3*b(1,2 )**2*xi(6,4)*xi(4,1)*k**3*u**2 - b(2,2)**3*b(1,2)**2*xi(6,3)*xi(4,2)*k**3*u**2 - b(2,2)**3*b(1,2)**2*xi(5,4)*xi(4,2)**2*k**3*u**2 + b(2,2)**2*b(1,2)**3*xi(6,3)* xi(4,1)*k**2*u**2 + 2*b(2,2)**2*b(1,2)**3*xi(5,4)*xi(4,2)*xi(4,1)*k**2*u**2 - b( 2,2)**2*b(1,2)**3*xi(5,3)*xi(4,2)**2*k**2*u**2 - b(2,2)*b(1,2)**4*xi(5,4)*xi(4,1 )**2*k*u**2 + 2*b(2,2)*b(1,2)**4*xi(5,3)*xi(4,2)*xi(4,1)*k*u**2 - b(1,2)**5*xi(5 ,3)*xi(4,1)**2*u**2)/(b(2,2)**4*k**4*u),( - b(5,3)*xi(4,2)*k*u + b(5,3)*xi(3,1)* k*u + b(4,2)*b(2,2)*xi(5,3)*k**2 - b(3,1)*b(2,2)*xi(5,3)*k + b(2,2)**2*xi(6,3)*k **2*u + b(2,2)*b(1,2)*xi(5,3)*xi(4,2)*k*u - b(1,2)**2*xi(5,3)*xi(4,1)*u)/(b(2,2) *k**2*u),( - b(6,3)*b(2,2)*k**2 - b(5,4)*b(2,2)*xi(4,2)*k**2*u + b(5,4)*b(2,2)* xi(3,1)*k**2*u - b(5,3)*b(1,2)*xi(4,2)*k*u + b(5,3)*b(1,2)*xi(3,1)*k*u + b(4,2)* b(2,2)**2*xi(5,4)*k**3 + b(4,2)*b(2,2)*b(1,2)*xi(5,3)*k**2 - b(3,1)*b(2,2)**2*xi (5,4)*k**2 - b(3,1)*b(2,2)*b(1,2)*xi(5,3)*k + b(2,2)**3*xi(6,4)*k**3*u + b(2,2) **2*b(1,2)*xi(6,3)*k**2*u + b(2,2)**2*b(1,2)*xi(5,4)*xi(4,2)*k**2*u - b(2,2)*b(1 ,2)**2*xi(5,4)*xi(4,1)*k*u + b(2,2)*b(1,2)**2*xi(5,3)*xi(4,2)*k*u - b(1,2)**3*xi (5,3)*xi(4,1)*u)/(b(2,2)**2*k**2*u),u*(xi(4,2) - xi(3,1)),0))$ we get deltaprime(5,4)=0 if we take$ b(5,3):=b(2,2)*(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))$ and we get deltaprime(3,2)=0 if we take$ b(4,2):=( - b(3,1) - b(2,2)*xi(3,2)*k*u + b(1,2)*xi(3,1)*u)/k$ deltaprime(3,1):= - (xi(4,2) - xi(3,1))*u$ deltaprime(3,2):=0$ deltaprime(4,1):=(xi(4,1)*u)/k$ deltaprime(4,2):=0$ deltaprime(5,3):=(b(2,2)*xi(5,3))/u$ deltaprime(5,4):=0$ deltaprime(6,3):=(((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)* k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)*xi(5,3) - ((b(2,2 )*xi(5,4)*k + b(1,2)*xi(5,3))*(xi(4,2) - xi(3,1)) - b(2,2)*xi(6,3)*k)*b(2,2)*k*u )/(b(2,2)*k**2*u)$ deltaprime(6,4):=( - (((((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*b(1,2) + b(5,4)*k)* (xi(4,2) - xi(3,1)) - (b(2,2)*xi(6,4)*k + b(1,2)*xi(6,3))*b(2,2)*k)*u + b(6,3)*k )*b(2,2)*k - ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ( (b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)*(b(2,2)*xi(5,4)*k + b( 1,2)*xi(5,3))))/(b(2,2)**2*k**2*u)$ det(phi):=b(2,2)**8*k**4*u**3$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),( - (xi(4,2) - xi(3,1))*u,0,0, - k,0,0),((xi(4,1 )*u)/k,0,0,0,0,0),((((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*xi(3,1)*u - b(3,1)*xi(5 ,3))*b(2,2) + b(5,4)*xi(4,1)*u)/(b(2,2)*k*u),(((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3 ))*(b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1)*b(1,2)*xi(5,3) - b(3,2)*b(2,2) *xi(5,3)*k + b(5,1)*k*u)*b(2,2) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(5,4)*u)/ (b(2,2)**2*k*u),(b(2,2)*xi(5,3))/u,0,0,0),(( - (((((b(2,2)*xi(4,2)*k - b(1,2)*xi (4,1))*b(5,4) + b(5,1)*b(2,2)*k)*k*u + ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1, 2)*u - b(3,1)*b(2,2)*k)*(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3)))*(xi(4,2) - xi(3,1)) - (((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k)*xi(6,3) + ( b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(2,2)*xi(6,4)*k*u)*b(2,2)*k + ((b(2,2)*xi(4, 2)*k - b(2,2)*xi(3,1)*k - b(1,2)*xi(4,1))*b(6,3) - b(6,4)*b(2,2)*xi(4,1)*k)*k)*b (2,2)*k*u - (((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k)*xi (5,3) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(2,2)*xi(5,4)*k*u)*((b(2,2)*xi(4,2) *k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi (3,1))*u + b(3,1))*b(2,2)*k)))/(b(2,2)**3*k**4*u),( - (((((((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2 )*u)*b(5,4) + (b(5,2)*b(2,2)*k - b(5,1)*b(1,2))*b(2,2)*k*u)*k - ((b(3,2)*b(2,2)* k - b(3,1)*b(1,2))*b(2,2)*k + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)**2*u - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*b(1,2)*k)*(b(2,2)*xi(5,4 )*k + b(1,2)*xi(5,3)))*(xi(4,2) - xi(3,1)) + (((b(3,2)*b(2,2)*k - b(3,1)*b(1,2)) *b(2,2)*k + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)**2*u - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*b(1,2)*k)*xi(6,3) - (((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2 )*u)*b(2,2)*xi(6,4)*k)*b(2,2)*k)*b(2,2)*k*u + (((b(3,2)*b(2,2)*k - b(3,1)*b(1,2) )*b(2,2)*k + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)**2*u - ((b(2,2)*xi(3,2)* k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*b(1,2)*k)*xi(5,3) - (((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1, 2)*u)*b(2,2)*xi(5,4)*k)*((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b (2,2)*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k) - (((b(2,2) *xi(4,2)*k - b(1,2)*xi(4,1))*b(6,4) + b(6,1)*b(2,2)*k)*b(2,2)*k*u - (b(3,1)*b(2, 2)*k - b(2,2)*b(1,2)*xi(4,2)*k*u + b(1,2)**2*xi(4,1)*u)*b(6,3))*b(2,2)*k**2))/(b (2,2)**4*k**4*u),(((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)* k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)*xi(5,3) - ((b(2,2 )*xi(5,4)*k + b(1,2)*xi(5,3))*(xi(4,2) - xi(3,1)) - b(2,2)*xi(6,3)*k)*b(2,2)*k*u )/(b(2,2)*k**2*u),( - (((((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*b(1,2) + b(5,4)*k) *(xi(4,2) - xi(3,1)) - (b(2,2)*xi(6,4)*k + b(1,2)*xi(6,3))*b(2,2)*k)*u + b(6,3)* k)*b(2,2)*k - ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)*(b(2,2)*xi(5,4)*k + b (1,2)*xi(5,3))))/(b(2,2)**2*k**2*u),(xi(4,2) - xi(3,1))*u,0))$ deltaprime(5,1):=(b(5,4)*xi(4,1)*u - b(3,1)*b(2,2)*xi(5,3) + b(2,2)**2*xi(5,4)* xi(3,1)*k*u + b(2,2)*b(1,2)*xi(5,3)*xi(3,1)*u)/(b(2,2)*k*u)$ deltaprime(5,2):=(b(5,4)*b(2,2)*xi(4,2)*k*u - b(5,4)*b(1,2)*xi(4,1)*u + b(5,1)*b (2,2)*k*u - b(3,2)*b(2,2)**2*xi(5,3)*k + b(3,1)*b(2,2)*b(1,2)*xi(5,3) + b(2,2)** 3*xi(5,4)*xi(3,2)*k**2*u - b(2,2)**2*b(1,2)*xi(5,4)*xi(3,1)*k*u + b(2,2)**2*b(1, 2)*xi(5,3)*xi(3,2)*k*u - b(2,2)*b(1,2)**2*xi(5,3)*xi(3,1)*u)/(b(2,2)**2*k*u)$ we keep deltaprime(5,2)=0 if we take$ b(5,1):=(((b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*xi(5,3) - (b(2,2)*xi(5,4)*k + b(1,2) *xi(5,3))*(b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u)*b(2,2) - (b(2,2)*xi(4,2)*k - b( 1,2)*xi(4,1))*b(5,4)*u)/(b(2,2)*k*u)$ deltaprime(3,1):= - (xi(4,2) - xi(3,1))*u$ deltaprime(3,2):=0$ deltaprime(4,1):=(xi(4,1)*u)/k$ deltaprime(4,2):=0$ deltaprime(5,3):=(b(2,2)*xi(5,3))/u$ deltaprime(5,4):=0$ deltaprime(6,3):=(((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)* k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)*xi(5,3) - ((b(2,2 )*xi(5,4)*k + b(1,2)*xi(5,3))*(xi(4,2) - xi(3,1)) - b(2,2)*xi(6,3)*k)*b(2,2)*k*u )/(b(2,2)*k**2*u)$ deltaprime(6,4):=( - (((((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*b(1,2) + b(5,4)*k)* (xi(4,2) - xi(3,1)) - (b(2,2)*xi(6,4)*k + b(1,2)*xi(6,3))*b(2,2)*k)*u + b(6,3)*k )*b(2,2)*k - ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ( (b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)*(b(2,2)*xi(5,4)*k + b( 1,2)*xi(5,3))))/(b(2,2)**2*k**2*u)$ det(phi):=b(2,2)**8*k**4*u**3$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),( - (xi(4,2) - xi(3,1))*u,0,0, - k,0,0),((xi(4,1 )*u)/k,0,0,0,0,0),((((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*xi(3,1)*u - b(3,1)*xi(5 ,3))*b(2,2) + b(5,4)*xi(4,1)*u)/(b(2,2)*k*u),0,(b(2,2)*xi(5,3))/u,0,0,0),(( - (( ((((b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*xi(5,3) - (b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3 ))*(b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u)*b(2,2) - (b(2,2)*xi(4,2)*k - b(1,2)*xi (4,1))*b(5,4)*u)*k + ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2, 2)*k)*(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3)) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))* b(5,4)*k*u)*(xi(4,2) - xi(3,1)) - (((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k)*xi(6,3) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(2,2)*xi(6,4) *k*u)*b(2,2)*k + ((b(2,2)*xi(4,2)*k - b(2,2)*xi(3,1)*k - b(1,2)*xi(4,1))*b(6,3) - b(6,4)*b(2,2)*xi(4,1)*k)*k)*b(2,2)*k*u - (((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1)) *b(1,2)*u - b(3,1)*b(2,2)*k)*xi(5,3) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(2,2 )*xi(5,4)*k*u)*((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)))/(b(2,2)**3*k**4*u) ,(((((b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2)*k + (b(2,2)*xi(4,2)*k - b(1,2)*xi( 4,1))*b(1,2)**2*u - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*b(1, 2)*k)*(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3)) - (((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1) )*u + b(3,1))*b(2,2)*k - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u)*b(5,4)*k + ((((b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*xi(5,3) - (b(2,2)*xi(5,4)*k + b(1,2)*xi(5 ,3))*(b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u)*b(2,2) - (b(2,2)*xi(4,2)*k - b(1,2)* xi(4,1))*b(5,4)*u)*b(1,2) - b(5,2)*b(2,2)**2*k**2*u)*k)*(xi(4,2) - xi(3,1)) - (( (b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2)*k + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1)) *b(1,2)**2*u - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*b(1,2)*k) *xi(6,3) - (((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k - (b(2,2)* xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u)*b(2,2)*xi(6,4)*k)*b(2,2)*k)*b(2,2)*k*u - ( (((b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2)*k + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1 ))*b(1,2)**2*u - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*b(1,2)* k)*xi(5,3) - (((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k - (b(2,2 )*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*u)*b(2,2)*xi(5,4)*k)*((b(2,2)*xi(4,2)*k - b (1,2)*xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1)) *u + b(3,1))*b(2,2)*k) - (((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(6,4) + b(6,1)*b (2,2)*k)*b(2,2)*k*u - (b(3,1)*b(2,2)*k - b(2,2)*b(1,2)*xi(4,2)*k*u + b(1,2)**2* xi(4,1)*u)*b(6,3))*b(2,2)*k**2))/(b(2,2)**4*k**4*u),(((b(2,2)*xi(4,2)*k - b(1,2) *xi(4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3,1))*b(2,2)*k)*xi(5,3) - ((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*(xi(4,2) - xi(3 ,1)) - b(2,2)*xi(6,3)*k)*b(2,2)*k*u)/(b(2,2)*k**2*u),( - (((((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*b(1,2) + b(5,4)*k)*(xi(4,2) - xi(3,1)) - (b(2,2)*xi(6,4)*k + b( 1,2)*xi(6,3))*b(2,2)*k)*u + b(6,3)*k)*b(2,2)*k - ((b(2,2)*xi(4,2)*k - b(1,2)*xi( 4,1))*b(1,2)*u - b(3,1)*b(2,2)*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*u + b(3, 1))*b(2,2)*k)*(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))))/(b(2,2)**2*k**2*u),(xi(4,2) - xi(3,1))*u,0))$ deltaprime(5,1):=(b(5,4)*xi(4,1)*u - b(3,1)*b(2,2)*xi(5,3) + b(2,2)**2*xi(5,4)* xi(3,1)*k*u + b(2,2)*b(1,2)*xi(5,3)*xi(3,1)*u)/(b(2,2)*k*u)$ deltaprime(5,2):=0$ ******* Suppose xi(4,1) neq 0$ Then one may suppose xi(4,1):= k by taking$ u:=k**2/xi(4,1)$ deltaprime(3,1):=( - (xi(4,2) - xi(3,1))*k**2)/xi(4,1)$ deltaprime(3,2):=0$ deltaprime(4,1):=k$ deltaprime(4,2):=0$ deltaprime(5,3):=(b(2,2)*xi(5,3)*xi(4,1))/k**2$ deltaprime(5,4):=0$ deltaprime(6,3):=(((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3,1)*b(2,2)* xi(4,1) - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1))*b(2,2))*xi (5,3) - ((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*(xi(4,2) - xi(3,1)) - b(2,2)*xi(6,3 )*k)*b(2,2)*k**2)/(b(2,2)*k**3)$ deltaprime(6,4):=(((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3,1)*b(2,2)* xi(4,1) - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1))*b(2,2))*(b (2,2)*xi(5,4)*k + b(1,2)*xi(5,3)) - b(6,3)*b(2,2)*xi(4,1)*k - (((b(2,2)*xi(5,4)* k + b(1,2)*xi(5,3))*b(1,2) + b(5,4)*k)*(xi(4,2) - xi(3,1)) - (b(2,2)*xi(6,4)*k + b(1,2)*xi(6,3))*b(2,2)*k)*b(2,2)*k**2)/(b(2,2)**2*k**3)$ det(phi):=(b(2,2)**8*k**10)/xi(4,1)**3$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),(( - (xi(4,2) - xi(3,1))*k**2)/xi(4,1),0,0, - k, 0,0),(k,0,0,0,0,0),((((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*xi(3,1)*k**2 - b(3,1)* xi(5,3)*xi(4,1))*b(2,2) + b(5,4)*xi(4,1)*k**2)/(b(2,2)*k**3),0,(b(2,2)*xi(5,3)* xi(4,1))/k**2,0,0,0),(( - (((((b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*xi(5,3)*xi(4,1) - (b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*(b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2)* b(2,2) - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(5,4)*k**2 + ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3,1)*b(2,2)*xi(4,1))*(b(2,2)*xi(5,4)*k + b(1,2)*xi( 5,3)) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(5,4)*k**2)*(xi(4,2) - xi(3,1)) - ( ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3,1)*b(2,2)*xi(4,1))*xi(6,3) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(2,2)*xi(6,4)*k**2)*b(2,2)*k)*b(2,2)*k**2 - ((((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3,1)*b(2,2)*xi(4,1))*xi(5, 3) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(2,2)*xi(5,4)*k**2)*((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3,1)*b(2,2)*xi(4,1) - ((b(2,2)*xi(3,2)*k - b(1,2 )*xi(3,1))*k**2 + b(3,1)*xi(4,1))*b(2,2)) - ((b(2,2)*xi(4,2)*k - b(2,2)*xi(3,1)* k - b(1,2)*xi(4,1))*b(6,3) - b(6,4)*b(2,2)*xi(4,1)*k)*b(2,2)*xi(4,1)*k**2)))/(b( 2,2)**3*xi(4,1)*k**4),(((((b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2)*xi(4,1) + (b( 2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)**2*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3, 1))*k**2 + b(3,1)*xi(4,1))*b(2,2)*b(1,2))*(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3)) - (((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1))*b(2,2) - (b(2,2)*xi (4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k)*b(5,4)*k + (((b(3,2)*b(2,2)*k - b(3,1)*b(1,2 ))*xi(5,3)*xi(4,1) - (b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*(b(2,2)*xi(3,2)*k - b(1 ,2)*xi(3,1))*k**2)*b(2,2) - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(5,4)*k**2)*b(1 ,2) - b(5,2)*b(2,2)**2*k**4)*(xi(4,2) - xi(3,1)) - (((b(3,2)*b(2,2)*k - b(3,1)*b (1,2))*b(2,2)*xi(4,1) + (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)**2*k - ((b(2, 2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1))*b(2,2)*b(1,2))*xi(6,3) - ( ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1))*b(2,2) - (b(2,2)*xi( 4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k)*b(2,2)*xi(6,4)*k)*b(2,2)*k)*b(2,2)*k**2 - ((( (b(3,2)*b(2,2)*k - b(3,1)*b(1,2))*b(2,2)*xi(4,1) + (b(2,2)*xi(4,2)*k - b(1,2)*xi (4,1))*b(1,2)**2*k - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1)) *b(2,2)*b(1,2))*xi(5,3) - (((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi (4,1))*b(2,2) - (b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k)*b(2,2)*xi(5,4)*k)* ((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3,1)*b(2,2)*xi(4,1) - ((b(2,2) *xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1))*b(2,2)) - (((b(2,2)*xi(4,2)* k - b(1,2)*xi(4,1))*b(6,4) + b(6,1)*b(2,2)*k)*b(2,2)*k**2 - (b(3,1)*b(2,2)*xi(4, 1) - b(2,2)*b(1,2)*xi(4,2)*k**2 + b(1,2)**2*xi(4,1)*k)*b(6,3))*b(2,2)*xi(4,1)*k) )/(b(2,2)**4*xi(4,1)*k**4),(((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))*b(1,2)*k - b(3, 1)*b(2,2)*xi(4,1) - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b(3,1)*xi(4,1))* b(2,2))*xi(5,3) - ((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*(xi(4,2) - xi(3,1)) - b(2 ,2)*xi(6,3)*k)*b(2,2)*k**2)/(b(2,2)*k**3),(((b(2,2)*xi(4,2)*k - b(1,2)*xi(4,1))* b(1,2)*k - b(3,1)*b(2,2)*xi(4,1) - ((b(2,2)*xi(3,2)*k - b(1,2)*xi(3,1))*k**2 + b (3,1)*xi(4,1))*b(2,2))*(b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3)) - b(6,3)*b(2,2)*xi(4, 1)*k - (((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*b(1,2) + b(5,4)*k)*(xi(4,2) - xi(3, 1)) - (b(2,2)*xi(6,4)*k + b(1,2)*xi(6,3))*b(2,2)*k)*b(2,2)*k**2)/(b(2,2)**2*k**3 ),((xi(4,2) - xi(3,1))*k**2)/xi(4,1),0))$ deltaprime(5,1):=(b(5,4)*xi(4,1)*k**2 - b(3,1)*b(2,2)*xi(5,3)*xi(4,1) + b(2,2)** 2*xi(5,4)*xi(3,1)*k**3 + b(2,2)*b(1,2)*xi(5,3)*xi(3,1)*k**2)/(b(2,2)*k**3)$ deltaprime(5,2):=0$ we keep deltaprime(5,1)=0 if we take$ b(5,4):=( - ((b(2,2)*xi(5,4)*k + b(1,2)*xi(5,3))*xi(3,1)*k**2 - b(3,1)*xi(5,3)* xi(4,1))*b(2,2))/(xi(4,1)*k**2)$ deltaprime(3,1):=(k**2*( - xi(4,2) + xi(3,1)))/xi(4,1)$ deltaprime(3,2):=0$ deltaprime(4,1):=k$ deltaprime(4,2):=0$ deltaprime(5,3):=(b(2,2)*xi(5,3)*xi(4,1))/k**2$ deltaprime(5,4):=0$ deltaprime(6,3):=( - 2*b(3,1)*b(2,2)*xi(5,3)*xi(4,1) + b(2,2)**2*xi(6,3)*k**3 - b(2,2)**2*xi(5,4)*xi(4,2)*k**3 + b(2,2)**2*xi(5,4)*xi(3,1)*k**3 - b(2,2)**2*xi(5 ,3)*xi(3,2)*k**3 + 2*b(2,2)*b(1,2)*xi(5,3)*xi(3,1)*k**2 - b(1,2)**2*xi(5,3)*xi(4 ,1)*k)/(b(2,2)*k**3)$ deltaprime(6,4):=( - b(6,3)*b(2,2)*xi(4,1)**2*k - 2*b(3,1)*b(2,2)**2*xi(5,4)*xi( 4,1)**2*k - b(3,1)*b(2,2)**2*xi(5,3)*xi(4,2)*xi(4,1)*k + b(3,1)*b(2,2)**2*xi(5,3 )*xi(4,1)*xi(3,1)*k - 2*b(3,1)*b(2,2)*b(1,2)*xi(5,3)*xi(4,1)**2 + b(2,2)**3*xi(6 ,4)*xi(4,1)*k**4 + b(2,2)**3*xi(5,4)*xi(4,2)*xi(3,1)*k**4 - b(2,2)**3*xi(5,4)*xi (4,1)*xi(3,2)*k**4 - b(2,2)**3*xi(5,4)*xi(3,1)**2*k**4 + b(2,2)**2*b(1,2)*xi(6,3 )*xi(4,1)*k**3 + 2*b(2,2)**2*b(1,2)*xi(5,4)*xi(4,1)*xi(3,1)*k**3 + b(2,2)**2*b(1 ,2)*xi(5,3)*xi(4,2)*xi(3,1)*k**3 - b(2,2)**2*b(1,2)*xi(5,3)*xi(4,1)*xi(3,2)*k**3 - b(2,2)**2*b(1,2)*xi(5,3)*xi(3,1)**2*k**3 - b(2,2)*b(1,2)**2*xi(5,4)*xi(4,1)** 2*k**2 + 2*b(2,2)*b(1,2)**2*xi(5,3)*xi(4,1)*xi(3,1)*k**2 - b(1,2)**3*xi(5,3)*xi( 4,1)**2*k)/(b(2,2)**2*xi(4,1)*k**3)$ det(phi):=(b(2,2)**8*k**10)/xi(4,1)**3$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),((k**2*( - xi(4,2) + xi(3,1)))/xi(4,1),0,0, - k, 0,0),(k,0,0,0,0,0),(0,0,(b(2,2)*xi(5,3)*xi(4,1))/k**2,0,0,0),((b(6,4)*b(2,2)**2* xi(4,1)**2*k**3 - b(6,3)*b(2,2)**2*xi(4,2)*xi(4,1)*k**3 + b(6,3)*b(2,2)**2*xi(4, 1)*xi(3,1)*k**3 + b(6,3)*b(2,2)*b(1,2)*xi(4,1)**2*k**2 - b(3,2)*b(2,2)**3*xi(5,3 )*xi(4,2)*xi(4,1)*k**3 + b(3,2)*b(2,2)**3*xi(5,3)*xi(4,1)*xi(3,1)*k**3 + 2*b(3,1 )**2*b(2,2)**2*xi(5,3)*xi(4,1)**2 - b(3,1)*b(2,2)**3*xi(6,3)*xi(4,1)*k**3 - b(3, 1)*b(2,2)**3*xi(5,4)*xi(4,2)*xi(4,1)*k**3 - b(3,1)*b(2,2)**3*xi(5,4)*xi(4,1)*xi( 3,1)*k**3 + b(3,1)*b(2,2)**3*xi(5,3)*xi(4,1)*xi(3,2)*k**3 + 2*b(3,1)*b(2,2)**2*b (1,2)*xi(5,4)*xi(4,1)**2*k**2 - b(3,1)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)*xi(4,1)* k**2 - 3*b(3,1)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,1)*xi(3,1)*k**2 + 3*b(3,1)*b(2,2)* b(1,2)**2*xi(5,3)*xi(4,1)**2*k + b(2,2)**4*xi(6,4)*xi(4,2)*k**6 - b(2,2)**4*xi(5 ,4)*xi(3,2)*xi(3,1)*k**6 - b(2,2)**3*b(1,2)*xi(6,4)*xi(4,1)*k**5 + b(2,2)**3*b(1 ,2)*xi(6,3)*xi(4,2)*k**5 + b(2,2)**3*b(1,2)*xi(5,4)*xi(4,2)*xi(3,1)*k**5 + b(2,2 )**3*b(1,2)*xi(5,4)*xi(4,1)*xi(3,2)*k**5 + b(2,2)**3*b(1,2)*xi(5,4)*xi(3,1)**2*k **5 - b(2,2)**3*b(1,2)*xi(5,3)*xi(3,2)*xi(3,1)*k**5 - b(2,2)**2*b(1,2)**2*xi(6,3 )*xi(4,1)*k**4 - b(2,2)**2*b(1,2)**2*xi(5,4)*xi(4,2)*xi(4,1)*k**4 - 2*b(2,2)**2* b(1,2)**2*xi(5,4)*xi(4,1)*xi(3,1)*k**4 + b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,2)*xi( 3,1)*k**4 + b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,1)*xi(3,2)*k**4 + b(2,2)**2*b(1,2) **2*xi(5,3)*xi(3,1)**2*k**4 + b(2,2)*b(1,2)**3*xi(5,4)*xi(4,1)**2*k**3 - b(2,2)* b(1,2)**3*xi(5,3)*xi(4,2)*xi(4,1)*k**3 - 2*b(2,2)*b(1,2)**3*xi(5,3)*xi(4,1)*xi(3 ,1)*k**3 + b(1,2)**4*xi(5,3)*xi(4,1)**2*k**2)/(b(2,2)**3*xi(4,1)*k**4),(b(6,4)*b (2,2)**3*xi(4,2)*xi(4,1)**2*k**4 - b(6,4)*b(2,2)**2*b(1,2)*xi(4,1)**3*k**3 - b(6 ,3)*b(3,1)*b(2,2)**2*xi(4,1)**3*k + b(6,3)*b(2,2)**2*b(1,2)*xi(4,2)*xi(4,1)**2*k **3 - b(6,3)*b(2,2)*b(1,2)**2*xi(4,1)**3*k**2 + b(6,1)*b(2,2)**3*xi(4,1)**2*k**4 - b(5,2)*b(2,2)**3*xi(4,2)*xi(4,1)*k**6 + b(5,2)*b(2,2)**3*xi(4,1)*xi(3,1)*k**6 + 2*b(3,2)*b(3,1)*b(2,2)**3*xi(5,3)*xi(4,1)**3*k - b(3,2)*b(2,2)**4*xi(6,3)*xi( 4,1)**2*k**4 + b(3,2)*b(2,2)**4*xi(5,4)*xi(4,2)*xi(4,1)**2*k**4 - b(3,2)*b(2,2) **4*xi(5,4)*xi(4,1)**2*xi(3,1)*k**4 + b(3,2)*b(2,2)**4*xi(5,3)*xi(4,1)**2*xi(3,2 )*k**4 + b(3,2)*b(2,2)**3*b(1,2)*xi(5,3)*xi(4,2)*xi(4,1)**2*k**3 - 3*b(3,2)*b(2, 2)**3*b(1,2)*xi(5,3)*xi(4,1)**2*xi(3,1)*k**3 + b(3,2)*b(2,2)**2*b(1,2)**2*xi(5,3 )*xi(4,1)**3*k**2 - 2*b(3,1)**2*b(2,2)**3*xi(5,4)*xi(4,1)**3*k - b(3,1)**2*b(2,2 )**3*xi(5,3)*xi(4,2)*xi(4,1)**2*k + b(3,1)**2*b(2,2)**3*xi(5,3)*xi(4,1)**2*xi(3, 1)*k - 4*b(3,1)**2*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,1)**3 + b(3,1)*b(2,2)**4*xi(6,4 )*xi(4,1)**2*k**4 + b(3,1)*b(2,2)**4*xi(5,4)*xi(4,2)*xi(4,1)*xi(3,1)*k**4 - 3*b( 3,1)*b(2,2)**4*xi(5,4)*xi(4,1)**2*xi(3,2)*k**4 - b(3,1)*b(2,2)**4*xi(5,4)*xi(4,1 )*xi(3,1)**2*k**4 - b(3,1)*b(2,2)**4*xi(5,3)*xi(4,2)*xi(4,1)*xi(3,2)*k**4 + b(3, 1)*b(2,2)**4*xi(5,3)*xi(4,1)*xi(3,2)*xi(3,1)*k**4 + 2*b(3,1)*b(2,2)**3*b(1,2)*xi (6,3)*xi(4,1)**2*k**3 + b(3,1)*b(2,2)**3*b(1,2)*xi(5,4)*xi(4,2)*xi(4,1)**2*k**3 + 5*b(3,1)*b(2,2)**3*b(1,2)*xi(5,4)*xi(4,1)**2*xi(3,1)*k**3 + 2*b(3,1)*b(2,2)**3 *b(1,2)*xi(5,3)*xi(4,2)*xi(4,1)*xi(3,1)*k**3 - 4*b(3,1)*b(2,2)**3*b(1,2)*xi(5,3) *xi(4,1)**2*xi(3,2)*k**3 - 2*b(3,1)*b(2,2)**3*b(1,2)*xi(5,3)*xi(4,1)*xi(3,1)**2* k**3 - 3*b(3,1)*b(2,2)**2*b(1,2)**2*xi(5,4)*xi(4,1)**3*k**2 + b(3,1)*b(2,2)**2*b (1,2)**2*xi(5,3)*xi(4,2)*xi(4,1)**2*k**2 + 7*b(3,1)*b(2,2)**2*b(1,2)**2*xi(5,3)* xi(4,1)**2*xi(3,1)*k**2 - 4*b(3,1)*b(2,2)*b(1,2)**3*xi(5,3)*xi(4,1)**3*k + b(2,2 )**5*xi(6,4)*xi(4,1)*xi(3,2)*k**7 + b(2,2)**5*xi(5,4)*xi(4,2)*xi(3,2)*xi(3,1)*k **7 - b(2,2)**5*xi(5,4)*xi(4,1)*xi(3,2)**2*k**7 - b(2,2)**5*xi(5,4)*xi(3,2)*xi(3 ,1)**2*k**7 - b(2,2)**4*b(1,2)*xi(6,4)*xi(4,2)*xi(4,1)*k**6 - b(2,2)**4*b(1,2)* xi(6,4)*xi(4,1)*xi(3,1)*k**6 + b(2,2)**4*b(1,2)*xi(6,3)*xi(4,1)*xi(3,2)*k**6 - b (2,2)**4*b(1,2)*xi(5,4)*xi(4,2)*xi(3,1)**2*k**6 + 4*b(2,2)**4*b(1,2)*xi(5,4)*xi( 4,1)*xi(3,2)*xi(3,1)*k**6 + b(2,2)**4*b(1,2)*xi(5,4)*xi(3,1)**3*k**6 + b(2,2)**4 *b(1,2)*xi(5,3)*xi(4,2)*xi(3,2)*xi(3,1)*k**6 - b(2,2)**4*b(1,2)*xi(5,3)*xi(4,1)* xi(3,2)**2*k**6 - b(2,2)**4*b(1,2)*xi(5,3)*xi(3,2)*xi(3,1)**2*k**6 + b(2,2)**3*b (1,2)**2*xi(6,4)*xi(4,1)**2*k**5 - b(2,2)**3*b(1,2)**2*xi(6,3)*xi(4,2)*xi(4,1)*k **5 - b(2,2)**3*b(1,2)**2*xi(6,3)*xi(4,1)*xi(3,1)*k**5 - b(2,2)**3*b(1,2)**2*xi( 5,4)*xi(4,2)*xi(4,1)*xi(3,1)*k**5 - 2*b(2,2)**3*b(1,2)**2*xi(5,4)*xi(4,1)**2*xi( 3,2)*k**5 - 3*b(2,2)**3*b(1,2)**2*xi(5,4)*xi(4,1)*xi(3,1)**2*k**5 - b(2,2)**3*b( 1,2)**2*xi(5,3)*xi(4,2)*xi(3,1)**2*k**5 + 4*b(2,2)**3*b(1,2)**2*xi(5,3)*xi(4,1)* xi(3,2)*xi(3,1)*k**5 + b(2,2)**3*b(1,2)**2*xi(5,3)*xi(3,1)**3*k**5 + b(2,2)**2*b (1,2)**3*xi(6,3)*xi(4,1)**2*k**4 + b(2,2)**2*b(1,2)**3*xi(5,4)*xi(4,2)*xi(4,1)** 2*k**4 + 3*b(2,2)**2*b(1,2)**3*xi(5,4)*xi(4,1)**2*xi(3,1)*k**4 - b(2,2)**2*b(1,2 )**3*xi(5,3)*xi(4,2)*xi(4,1)*xi(3,1)*k**4 - 2*b(2,2)**2*b(1,2)**3*xi(5,3)*xi(4,1 )**2*xi(3,2)*k**4 - 3*b(2,2)**2*b(1,2)**3*xi(5,3)*xi(4,1)*xi(3,1)**2*k**4 - b(2, 2)*b(1,2)**4*xi(5,4)*xi(4,1)**3*k**3 + b(2,2)*b(1,2)**4*xi(5,3)*xi(4,2)*xi(4,1) **2*k**3 + 3*b(2,2)*b(1,2)**4*xi(5,3)*xi(4,1)**2*xi(3,1)*k**3 - b(1,2)**5*xi(5,3 )*xi(4,1)**3*k**2)/(b(2,2)**4*xi(4,1)**2*k**4),( - 2*b(3,1)*b(2,2)*xi(5,3)*xi(4, 1) + b(2,2)**2*xi(6,3)*k**3 - b(2,2)**2*xi(5,4)*xi(4,2)*k**3 + b(2,2)**2*xi(5,4) *xi(3,1)*k**3 - b(2,2)**2*xi(5,3)*xi(3,2)*k**3 + 2*b(2,2)*b(1,2)*xi(5,3)*xi(3,1) *k**2 - b(1,2)**2*xi(5,3)*xi(4,1)*k)/(b(2,2)*k**3),( - b(6,3)*b(2,2)*xi(4,1)**2* k - 2*b(3,1)*b(2,2)**2*xi(5,4)*xi(4,1)**2*k - b(3,1)*b(2,2)**2*xi(5,3)*xi(4,2)* xi(4,1)*k + b(3,1)*b(2,2)**2*xi(5,3)*xi(4,1)*xi(3,1)*k - 2*b(3,1)*b(2,2)*b(1,2)* xi(5,3)*xi(4,1)**2 + b(2,2)**3*xi(6,4)*xi(4,1)*k**4 + b(2,2)**3*xi(5,4)*xi(4,2)* xi(3,1)*k**4 - b(2,2)**3*xi(5,4)*xi(4,1)*xi(3,2)*k**4 - b(2,2)**3*xi(5,4)*xi(3,1 )**2*k**4 + b(2,2)**2*b(1,2)*xi(6,3)*xi(4,1)*k**3 + 2*b(2,2)**2*b(1,2)*xi(5,4)* xi(4,1)*xi(3,1)*k**3 + b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)*xi(3,1)*k**3 - b(2,2)**2 *b(1,2)*xi(5,3)*xi(4,1)*xi(3,2)*k**3 - b(2,2)**2*b(1,2)*xi(5,3)*xi(3,1)**2*k**3 - b(2,2)*b(1,2)**2*xi(5,4)*xi(4,1)**2*k**2 + 2*b(2,2)*b(1,2)**2*xi(5,3)*xi(4,1)* xi(3,1)*k**2 - b(1,2)**3*xi(5,3)*xi(4,1)**2*k)/(b(2,2)**2*xi(4,1)*k**3),(k**2*( xi(4,2) - xi(3,1)))/xi(4,1),0))$ deltaprime(5,1):=0$ deltaprime(5,2):=0$ we get deltaprime(6,4)=0 if we take$ b(6,3):=( - 2*b(3,1)*b(2,2)**2*xi(5,4)*xi(4,1)**2*k - b(3,1)*b(2,2)**2*xi(5,3)* xi(4,2)*xi(4,1)*k + b(3,1)*b(2,2)**2*xi(5,3)*xi(4,1)*xi(3,1)*k - 2*b(3,1)*b(2,2) *b(1,2)*xi(5,3)*xi(4,1)**2 + b(2,2)**3*xi(6,4)*xi(4,1)*k**4 + b(2,2)**3*xi(5,4)* xi(4,2)*xi(3,1)*k**4 - b(2,2)**3*xi(5,4)*xi(4,1)*xi(3,2)*k**4 - b(2,2)**3*xi(5,4 )*xi(3,1)**2*k**4 + b(2,2)**2*b(1,2)*xi(6,3)*xi(4,1)*k**3 + 2*b(2,2)**2*b(1,2)* xi(5,4)*xi(4,1)*xi(3,1)*k**3 + b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)*xi(3,1)*k**3 - b (2,2)**2*b(1,2)*xi(5,3)*xi(4,1)*xi(3,2)*k**3 - b(2,2)**2*b(1,2)*xi(5,3)*xi(3,1) **2*k**3 - b(2,2)*b(1,2)**2*xi(5,4)*xi(4,1)**2*k**2 + 2*b(2,2)*b(1,2)**2*xi(5,3) *xi(4,1)*xi(3,1)*k**2 - b(1,2)**3*xi(5,3)*xi(4,1)**2*k)/(b(2,2)*xi(4,1)**2*k)$ deltaprime(3,1):=(k**2*( - xi(4,2) + xi(3,1)))/xi(4,1)$ deltaprime(3,2):=0$ deltaprime(4,1):=k$ deltaprime(4,2):=0$ deltaprime(5,3):=(b(2,2)*xi(5,3)*xi(4,1))/k**2$ deltaprime(5,4):=0$ deltaprime(6,3):=( - 2*b(3,1)*b(2,2)*xi(5,3)*xi(4,1) + b(2,2)**2*xi(6,3)*k**3 - b(2,2)**2*xi(5,4)*xi(4,2)*k**3 + b(2,2)**2*xi(5,4)*xi(3,1)*k**3 - b(2,2)**2*xi(5 ,3)*xi(3,2)*k**3 + 2*b(2,2)*b(1,2)*xi(5,3)*xi(3,1)*k**2 - b(1,2)**2*xi(5,3)*xi(4 ,1)*k)/(b(2,2)*k**3)$ deltaprime(6,4):=0$ det(phi):=(b(2,2)**8*k**10)/xi(4,1)**3$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),((k**2*( - xi(4,2) + xi(3,1)))/xi(4,1),0,0, - k, 0,0),(k,0,0,0,0,0),(0,0,(b(2,2)*xi(5,3)*xi(4,1))/k**2,0,0,0),((b(6,4)*b(2,2)*xi( 4,1)**3*k**3 - b(3,2)*b(2,2)**2*xi(5,3)*xi(4,2)*xi(4,1)**2*k**3 + b(3,2)*b(2,2) **2*xi(5,3)*xi(4,1)**2*xi(3,1)*k**3 + 2*b(3,1)**2*b(2,2)*xi(5,3)*xi(4,1)**3 - b( 3,1)*b(2,2)**2*xi(6,3)*xi(4,1)**2*k**3 + b(3,1)*b(2,2)**2*xi(5,4)*xi(4,2)*xi(4,1 )**2*k**3 - 3*b(3,1)*b(2,2)**2*xi(5,4)*xi(4,1)**2*xi(3,1)*k**3 + b(3,1)*b(2,2)** 2*xi(5,3)*xi(4,2)**2*xi(4,1)*k**3 - 2*b(3,1)*b(2,2)**2*xi(5,3)*xi(4,2)*xi(4,1)* xi(3,1)*k**3 + b(3,1)*b(2,2)**2*xi(5,3)*xi(4,1)**2*xi(3,2)*k**3 + b(3,1)*b(2,2) **2*xi(5,3)*xi(4,1)*xi(3,1)**2*k**3 - 4*b(3,1)*b(2,2)*b(1,2)*xi(5,3)*xi(4,1)**2* xi(3,1)*k**2 + b(3,1)*b(1,2)**2*xi(5,3)*xi(4,1)**3*k + b(2,2)**3*xi(6,4)*xi(4,1) *xi(3,1)*k**6 - b(2,2)**3*xi(5,4)*xi(4,2)**2*xi(3,1)*k**6 + b(2,2)**3*xi(5,4)*xi (4,2)*xi(4,1)*xi(3,2)*k**6 + 2*b(2,2)**3*xi(5,4)*xi(4,2)*xi(3,1)**2*k**6 - 2*b(2 ,2)**3*xi(5,4)*xi(4,1)*xi(3,2)*xi(3,1)*k**6 - b(2,2)**3*xi(5,4)*xi(3,1)**3*k**6 + b(2,2)**2*b(1,2)*xi(6,3)*xi(4,1)*xi(3,1)*k**5 + 2*b(2,2)**2*b(1,2)*xi(5,4)*xi( 4,1)*xi(3,1)**2*k**5 - b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)**2*xi(3,1)*k**5 + b(2,2) **2*b(1,2)*xi(5,3)*xi(4,2)*xi(4,1)*xi(3,2)*k**5 + 2*b(2,2)**2*b(1,2)*xi(5,3)*xi( 4,2)*xi(3,1)**2*k**5 - 2*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,1)*xi(3,2)*xi(3,1)*k**5 - b(2,2)**2*b(1,2)*xi(5,3)*xi(3,1)**3*k**5 - b(2,2)*b(1,2)**2*xi(5,4)*xi(4,1)**2* xi(3,1)*k**4 + 2*b(2,2)*b(1,2)**2*xi(5,3)*xi(4,1)*xi(3,1)**2*k**4 - b(1,2)**3*xi (5,3)*xi(4,1)**2*xi(3,1)*k**3)/(b(2,2)**2*xi(4,1)**2*k**4),(b(6,4)*b(2,2)**2*xi( 4,2)*xi(4,1)**2*k**4 - b(6,4)*b(2,2)*b(1,2)*xi(4,1)**3*k**3 + b(6,1)*b(2,2)**2* xi(4,1)**2*k**4 - b(5,2)*b(2,2)**2*xi(4,2)*xi(4,1)*k**6 + b(5,2)*b(2,2)**2*xi(4, 1)*xi(3,1)*k**6 + 2*b(3,2)*b(3,1)*b(2,2)**2*xi(5,3)*xi(4,1)**3*k - b(3,2)*b(2,2) **3*xi(6,3)*xi(4,1)**2*k**4 + b(3,2)*b(2,2)**3*xi(5,4)*xi(4,2)*xi(4,1)**2*k**4 - b(3,2)*b(2,2)**3*xi(5,4)*xi(4,1)**2*xi(3,1)*k**4 + b(3,2)*b(2,2)**3*xi(5,3)*xi( 4,1)**2*xi(3,2)*k**4 + b(3,2)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)*xi(4,1)**2*k**3 - 3*b(3,2)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,1)**2*xi(3,1)*k**3 + b(3,2)*b(2,2)*b(1,2 )**2*xi(5,3)*xi(4,1)**3*k**2 - 2*b(3,1)**2*b(2,2)*b(1,2)*xi(5,3)*xi(4,1)**3 - 2* b(3,1)*b(2,2)**3*xi(5,4)*xi(4,1)**2*xi(3,2)*k**4 - b(3,1)*b(2,2)**3*xi(5,3)*xi(4 ,2)*xi(4,1)*xi(3,2)*k**4 + b(3,1)*b(2,2)**3*xi(5,3)*xi(4,1)*xi(3,2)*xi(3,1)*k**4 + b(3,1)*b(2,2)**2*b(1,2)*xi(6,3)*xi(4,1)**2*k**3 - b(3,1)*b(2,2)**2*b(1,2)*xi( 5,4)*xi(4,2)*xi(4,1)**2*k**3 + 3*b(3,1)*b(2,2)**2*b(1,2)*xi(5,4)*xi(4,1)**2*xi(3 ,1)*k**3 - b(3,1)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,2)**2*xi(4,1)*k**3 + 2*b(3,1)*b( 2,2)**2*b(1,2)*xi(5,3)*xi(4,2)*xi(4,1)*xi(3,1)*k**3 - 3*b(3,1)*b(2,2)**2*b(1,2)* xi(5,3)*xi(4,1)**2*xi(3,2)*k**3 - b(3,1)*b(2,2)**2*b(1,2)*xi(5,3)*xi(4,1)*xi(3,1 )**2*k**3 + 4*b(3,1)*b(2,2)*b(1,2)**2*xi(5,3)*xi(4,1)**2*xi(3,1)*k**2 - b(3,1)*b (1,2)**3*xi(5,3)*xi(4,1)**3*k + b(2,2)**4*xi(6,4)*xi(4,1)*xi(3,2)*k**7 + b(2,2) **4*xi(5,4)*xi(4,2)*xi(3,2)*xi(3,1)*k**7 - b(2,2)**4*xi(5,4)*xi(4,1)*xi(3,2)**2* k**7 - b(2,2)**4*xi(5,4)*xi(3,2)*xi(3,1)**2*k**7 - b(2,2)**3*b(1,2)*xi(6,4)*xi(4 ,1)*xi(3,1)*k**6 + b(2,2)**3*b(1,2)*xi(6,3)*xi(4,1)*xi(3,2)*k**6 + b(2,2)**3*b(1 ,2)*xi(5,4)*xi(4,2)**2*xi(3,1)*k**6 - b(2,2)**3*b(1,2)*xi(5,4)*xi(4,2)*xi(4,1)* xi(3,2)*k**6 - 2*b(2,2)**3*b(1,2)*xi(5,4)*xi(4,2)*xi(3,1)**2*k**6 + 4*b(2,2)**3* b(1,2)*xi(5,4)*xi(4,1)*xi(3,2)*xi(3,1)*k**6 + b(2,2)**3*b(1,2)*xi(5,4)*xi(3,1)** 3*k**6 + b(2,2)**3*b(1,2)*xi(5,3)*xi(4,2)*xi(3,2)*xi(3,1)*k**6 - b(2,2)**3*b(1,2 )*xi(5,3)*xi(4,1)*xi(3,2)**2*k**6 - b(2,2)**3*b(1,2)*xi(5,3)*xi(3,2)*xi(3,1)**2* k**6 - b(2,2)**2*b(1,2)**2*xi(6,3)*xi(4,1)*xi(3,1)*k**5 - b(2,2)**2*b(1,2)**2*xi (5,4)*xi(4,1)**2*xi(3,2)*k**5 - 2*b(2,2)**2*b(1,2)**2*xi(5,4)*xi(4,1)*xi(3,1)**2 *k**5 + b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,2)**2*xi(3,1)*k**5 - b(2,2)**2*b(1,2)** 2*xi(5,3)*xi(4,2)*xi(4,1)*xi(3,2)*k**5 - 2*b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,2)* xi(3,1)**2*k**5 + 4*b(2,2)**2*b(1,2)**2*xi(5,3)*xi(4,1)*xi(3,2)*xi(3,1)*k**5 + b (2,2)**2*b(1,2)**2*xi(5,3)*xi(3,1)**3*k**5 + b(2,2)*b(1,2)**3*xi(5,4)*xi(4,1)**2 *xi(3,1)*k**4 - b(2,2)*b(1,2)**3*xi(5,3)*xi(4,1)**2*xi(3,2)*k**4 - 2*b(2,2)*b(1, 2)**3*xi(5,3)*xi(4,1)*xi(3,1)**2*k**4 + b(1,2)**4*xi(5,3)*xi(4,1)**2*xi(3,1)*k** 3)/(b(2,2)**3*xi(4,1)**2*k**4),( - 2*b(3,1)*b(2,2)*xi(5,3)*xi(4,1) + b(2,2)**2* xi(6,3)*k**3 - b(2,2)**2*xi(5,4)*xi(4,2)*k**3 + b(2,2)**2*xi(5,4)*xi(3,1)*k**3 - b(2,2)**2*xi(5,3)*xi(3,2)*k**3 + 2*b(2,2)*b(1,2)*xi(5,3)*xi(3,1)*k**2 - b(1,2) **2*xi(5,3)*xi(4,1)*k)/(b(2,2)*k**3),0,(k**2*(xi(4,2) - xi(3,1)))/xi(4,1),0))$ deltaprime(5,1):=0$ deltaprime(5,2):=0$ ******* Suppose xi(5,3) neq 0$ we get deltaprime(5,3)=k if we take$ b(2,2):=k**3/(xi(5,3)*xi(4,1))$ we get deltaprime(6,3)=0 if we take$ b(3,1):=( - b(1,2)**2*xi(5,3)**3*xi(4,1)**3 + 2*b(1,2)*xi(5,3)**2*xi(4,1)*xi(3,1 )*k**4 + xi(6,3)*k**8 - xi(5,4)*xi(4,2)*k**8 + xi(5,4)*xi(3,1)*k**8 - xi(5,3)*xi (3,2)*k**8)/(2*xi(5,3)**2*xi(4,1)**2*k**2)$ deltaprime(3,1):=( - (xi(4,2) - xi(3,1))*k**2)/xi(4,1)$ deltaprime(3,2):=0$ deltaprime(4,1):=k$ deltaprime(4,2):=0$ deltaprime(5,3):=k$ deltaprime(5,4):=0$ deltaprime(6,3):=0$ deltaprime(6,4):=0$ det(phi):=k**34/(xi(5,3)**8*xi(4,1)**11)$ deltaprime:= mat((0,k,0,0,0,0),(0,0,0,0,0,0),(( - (xi(4,2) - xi(3,1))*k**2)/xi(4,1),0,0, - k, 0,0),(k,0,0,0,0,0),(0,0,k,0,0,0),(( - (((((xi(4,2) - xi(3,1))*xi(5,3)**2*xi(3,2) - 2*xi(5,4)**2*xi(4,1)*xi(3,1) - (2*xi(4,1)*xi(3,2) + xi(3,1)**2 - xi(4,2)**2)* xi(5,4)*xi(5,3))*(xi(4,2) - xi(3,1)) - ((xi(4,2) - xi(3,1))**2*xi(5,3) - 2*xi(5, 4)*xi(4,1)*xi(3,1))*xi(6,3) - 2*xi(6,4)*xi(5,3)*xi(4,1)*xi(3,1))*k**8 - (2*(xi(5 ,4)*xi(3,1) + xi(5,3)*xi(3,2))*k**4 - (xi(4,2) - xi(3,1))*b(1,2)*xi(5,3)**2*xi(4 ,1))*(xi(4,2) - xi(3,1))*b(1,2)*xi(5,3)**2*xi(4,1)**2 + 2*(xi(4,2) - xi(3,1))*b( 3,2)*xi(5,3)**3*xi(4,1)**3*k**2)*k - 2*b(6,4)*xi(5,3)**3*xi(4,1)**5))/(2*xi(5,3) **2*xi(4,1)**3*k**4),( - (2*b(6,4)*b(1,2)*xi(5,3)**4*xi(4,1)**6 - 2*b(6,4)*xi(5, 3)**3*xi(4,2)*xi(4,1)**4*k**4 - 2*b(6,1)*xi(5,3)**3*xi(4,1)**4*k**4 + 2*b(5,2)* xi(5,3)**3*xi(4,2)*xi(4,1)**3*k**6 - 2*b(5,2)*xi(5,3)**3*xi(4,1)**3*xi(3,1)*k**6 - 2*b(3,2)*b(1,2)*xi(5,3)**4*xi(4,2)*xi(4,1)**4*k**3 + 2*b(3,2)*b(1,2)*xi(5,3) **4*xi(4,1)**4*xi(3,1)*k**3 - b(1,2)**3*xi(5,3)**5*xi(4,2)**2*xi(4,1)**4*k + 2*b (1,2)**3*xi(5,3)**5*xi(4,2)*xi(4,1)**4*xi(3,1)*k - b(1,2)**3*xi(5,3)**5*xi(4,1) **4*xi(3,1)**2*k + 2*b(1,2)**2*xi(5,4)*xi(5,3)**3*xi(4,2)*xi(4,1)**3*xi(3,1)*k** 5 - 2*b(1,2)**2*xi(5,4)*xi(5,3)**3*xi(4,1)**3*xi(3,1)**2*k**5 + b(1,2)**2*xi(5,3 )**4*xi(4,2)*xi(4,1)**3*xi(3,2)*k**5 - b(1,2)**2*xi(5,3)**4*xi(4,1)**3*xi(3,2)* xi(3,1)*k**5 + 2*b(1,2)*xi(6,4)*xi(5,3)**2*xi(4,1)**2*xi(3,1)*k**9 - 2*b(1,2)*xi (6,3)*xi(5,4)*xi(5,3)*xi(4,1)**2*xi(3,1)*k**9 + b(1,2)*xi(6,3)*xi(5,3)**2*xi(4,2 )**2*xi(4,1)*k**9 - 2*b(1,2)*xi(6,3)*xi(5,3)**2*xi(4,2)*xi(4,1)*xi(3,1)*k**9 + b (1,2)*xi(6,3)*xi(5,3)**2*xi(4,1)*xi(3,1)**2*k**9 + 2*b(1,2)*xi(5,4)**2*xi(5,3)* xi(4,2)*xi(4,1)**2*xi(3,1)*k**9 - 2*b(1,2)*xi(5,4)**2*xi(5,3)*xi(4,1)**2*xi(3,1) **2*k**9 - b(1,2)*xi(5,4)*xi(5,3)**2*xi(4,2)**3*xi(4,1)*k**9 + b(1,2)*xi(5,4)*xi (5,3)**2*xi(4,2)**2*xi(4,1)*xi(3,1)*k**9 + b(1,2)*xi(5,4)*xi(5,3)**2*xi(4,2)*xi( 4,1)*xi(3,1)**2*k**9 - b(1,2)*xi(5,4)*xi(5,3)**2*xi(4,1)*xi(3,1)**3*k**9 - b(1,2 )*xi(5,3)**3*xi(4,2)**2*xi(4,1)*xi(3,2)*k**9 + 2*b(1,2)*xi(5,3)**3*xi(4,2)*xi(4, 1)*xi(3,2)*xi(3,1)*k**9 - b(1,2)*xi(5,3)**3*xi(4,1)*xi(3,2)*xi(3,1)**2*k**9 - 2* xi(6,4)*xi(5,3)*xi(4,1)*xi(3,2)*k**13 + 2*xi(6,3)*xi(5,4)*xi(4,1)*xi(3,2)*k**13 + xi(6,3)*xi(5,3)*xi(4,2)*xi(3,2)*k**13 - xi(6,3)*xi(5,3)*xi(3,2)*xi(3,1)*k**13 - 2*xi(5,4)**2*xi(4,2)*xi(4,1)*xi(3,2)*k**13 + 2*xi(5,4)**2*xi(4,1)*xi(3,2)*xi(3 ,1)*k**13 - xi(5,4)*xi(5,3)*xi(4,2)**2*xi(3,2)*k**13 + xi(5,4)*xi(5,3)*xi(3,2)* xi(3,1)**2*k**13 - xi(5,3)**2*xi(4,2)*xi(3,2)**2*k**13 + xi(5,3)**2*xi(3,2)**2* xi(3,1)*k**13))/(2*xi(5,3)**2*xi(4,1)**3*k**7),0,0,((xi(4,2) - xi(3,1))*k**2)/xi (4,1),0))$ deltaprime(5,1):=0$ deltaprime(5,2):=0$ If xi(4,2) neq xi(3,1), then the choice$ k:=( - xi(4,1))/(xi(4,2) - xi(3,1))$ would lead to deltaprime(3,1)=k.$ deltaprime(3,1):=( - xi(4,1))/(xi(4,2) - xi(3,1))$ deltaprime(3,2):=0$ deltaprime(4,1):=( - xi(4,1))/(xi(4,2) - xi(3,1))$ deltaprime(4,2):=0$ deltaprime(5,3):=( - xi(4,1))/(xi(4,2) - xi(3,1))$ deltaprime(5,4):=0$ deltaprime(6,3):=0$ deltaprime(6,4):=0$ det(phi):=xi(4,1)**23/((xi(4,2) - xi(3,1))**34*xi(5,3)**8)$ deltaprime:= mat((0,( - xi(4,1))/(xi(4,2) - xi(3,1)),0,0,0,0),(0,0,0,0,0,0),(( - xi(4,1))/(xi (4,2) - xi(3,1)),0,0,xi(4,1)/(xi(4,2) - xi(3,1)),0,0),(( - xi(4,1))/(xi(4,2) - xi(3,1)),0,0,0,0,0),(0,0,( - xi(4,1))/(xi(4,2) - xi(3,1)),0,0,0),(((((xi(4,2) - xi(3,1))*xi(5,3)**2*xi(3,2) - 2*xi(5,4)**2*xi(4,1)*xi(3,1) - (2*xi(4,1)*xi(3,2) + xi(3,1)**2 - xi(4,2)**2)*xi(5,4)*xi(5,3))*(xi(4,2) - xi(3,1)) - ((xi(4,2) - xi (3,1))**2*xi(5,3) - 2*xi(5,4)*xi(4,1)*xi(3,1))*xi(6,3) - 2*xi(6,4)*xi(5,3)*xi(4, 1)*xi(3,1))*xi(4,1)**5 - (2*(xi(5,4)*xi(3,1) + xi(5,3)*xi(3,2))*xi(4,1)**3 - (xi (4,2) - xi(3,1))**5*b(1,2)*xi(5,3)**2)*(xi(4,2) - xi(3,1))**5*b(1,2)*xi(5,3)**2 + 2*(xi(4,2) - xi(3,1))**7*b(3,2)*xi(5,3)**3*xi(4,1)**2 + 2*(xi(4,2) - xi(3,1)) **9*b(6,4)*xi(5,3)**3*xi(4,1))/(2*(xi(4,2) - xi(3,1))**5*xi(5,3)**2*xi(4,1)**3), (((2*xi(5,4)**2*xi(4,1) + xi(5,3)**2*xi(3,2) + (xi(4,2) + xi(3,1))*xi(5,4)*xi(5, 3))*(xi(4,2) - xi(3,1)) - ((xi(4,2) - xi(3,1))*xi(5,3) + 2*xi(5,4)*xi(4,1))*xi(6 ,3) + 2*xi(6,4)*xi(5,3)*xi(4,1))*xi(4,1)**8*xi(3,2) - ((2*xi(5,4)*xi(3,1) + xi(5 ,3)*xi(3,2))*xi(4,1)**3 - (xi(4,2) - xi(3,1))**5*b(1,2)*xi(5,3)**2)*(xi(4,2) - xi(3,1))**9*b(1,2)**2*xi(5,3)**3 + (((xi(4,2) - xi(3,1))*xi(5,3)**2*xi(3,2) - 2* xi(5,4)**2*xi(4,1)*xi(3,1) + (xi(4,2) + xi(3,1))*(xi(4,2) - xi(3,1))*xi(5,4)*xi( 5,3))*(xi(4,2) - xi(3,1)) - ((xi(4,2) - xi(3,1))**2*xi(5,3) - 2*xi(5,4)*xi(4,1)* xi(3,1))*xi(6,3) - 2*xi(6,4)*xi(5,3)*xi(4,1)*xi(3,1))*(xi(4,2) - xi(3,1))**4*b(1 ,2)*xi(5,3)*xi(4,1)**5 + 2*(xi(4,2) - xi(3,1))**11*b(3,2)*b(1,2)*xi(5,3)**4*xi(4 ,1)**2 + 2*(xi(4,2) - xi(3,1))**8*b(5,2)*xi(5,3)**3*xi(4,1)**4 - 2*(xi(4,2) - xi (3,1))**9*b(6,1)*xi(5,3)**3*xi(4,1)**3 + 2*((xi(4,2) - xi(3,1))**4*b(1,2)*xi(5,3 ) - xi(4,2)*xi(4,1)**2)*(xi(4,2) - xi(3,1))**9*b(6,4)*xi(5,3)**3*xi(4,1))/(2*(xi (4,2) - xi(3,1))**6*xi(5,3)**2*xi(4,1)**5),0,0,xi(4,1)/(xi(4,2) - xi(3,1)),0))$ shortformdeltaprime:={( - xi(4,1))/(xi(4,2) - xi(3,1)), 0, ss, ( - xi(4,1))/(xi(4,2) - xi(3,1)), 0, ss, ( - xi(4,1))/(xi(4,2) - xi(3,1)), 0, ss, 0, 0}$ deltaprime(5,1):=0$ deltaprime(5,2):=0$ Thus, if xi(4,1) neq 0 and xi(5,3) neq 0, we are reduced to:$ shortformdeltaprime ={epsilon,0,SS,1,0,SS, 1,0,SS,0,0}$ where epsilon = 0,1$