identification analysis - java heap space

[francis]

Dear all,

I am running into problems when running the identification analysis on my model.
The problem is related to the fact that I have a VAR(1) for the exogenous disturbances
of the type: s_{t+1} = P_0 + P*s_{t} + Q*epsilon_{t+1}. The vector P_0 has dimension
6x1 while the matrices P and Q have both dimension 6x6. The steady state of the 6x1
vector of the exogenous disturbances s is given by s=inv(I-P)*(P_0). Since this involves
the inversion of a 6x6 matrix, the expression for the steady state of all six shocks
appearing in the vector s is very very long. This leads to a static_params_derivs file
automatically generated by Dynare whose size is in the order of 4GB. Not surprisingly
I get errors related to the Java heap space being insufficient, Dynare crashes and I
thus cannot run the identification analysis. Increasing the heap space in Dynare did
not help to solve the issue.

In this context, I have two questions:
1) Does the identification command need the static_params_derivs file?

2) If static_params_derivs file reports the derivatives of the Jacobian with respect to
the deep parameters I fear this is the case. I was thus thinking that one possible
solution to the problem might be to let Dynare create the static_params_derivs
function file by printing "p" instead of "params" since this would significantly reduce
the size of the file. Which would be the file in Dynare's "matlab" folder that I would
need to change to make this possible?

Any suggestions on how to overcome this problem are greatly appreciated.

Many thanks in advance,
Francis

[jpfeifer]

1. Yes, the file is needed as it contains the derivatives of the static equations with respect to the parameters and is needed to find out, whether a parameter influences the steady state.

2. I have never seen an issue like this. 6 by 6 should not be an issue. Rather, your model and the number of parameters must be huge.

[francis]

As always, many thanks for replying Mr. Pfeifer.

The problem is that the steady state expression involves the
inversion of a 6x6 matrix, this explains the long expressions.

May I ask you for suggestions on how to proceed?

Best regards,
Francis

[jpfeifer]

I am not sure I am understanding your problem. Are you doing a symbolic inversion yourself? I don't understand why 6 derivatives would blow up to 6GB?

[francis]

Yes, I am doing the symbolic inversion myself.

I am copying below (an excerpt of) the expression for the unconditional mean of just one the first of the six variables in the VAR to give an idea of the
length of the expressions that each unconditional mean of the exogenous shocks entails. The elements p_{i,j} denote the i-th row, j-th column element
of the matrix P, whereas the elements [zi,li,xi,gi,bi,mpi] are the elements of the vector P_0 in the VAR(1) representation

Code: Select all

s_{t+1} = P_0 + P*s_{t} + Q*epsilon_{t+1}.

The parameters that I am estimating in my model are the elements of the matrices P_0, P and QQ'. Only the elements of P_0 and P appear in the
unconditional mean expressions.

In steady state, variables such as the capital stock and hours depend on the unconditional means of four of the exogenous shocks in the VAR. On top
of that, I have a Taylor rule in which steady state output appears. Steady state output depends on steady state capital and labor and, thus, on the
unconditional means of the exogenous VAR(1) shocks and their long expressions of which I provided one example below. Clearly, when calculating
the Jacobian for Iskrev's identification tests, the derivatives with respect to the elements of the P_0 and P matrices will have to consider their effect
on the unconditional means which, as just explained, in turn affect steady state output in the Taylor rule via their effect on steady state capital and
labour and this is what, I suspect, is causing the creation of such a big file for the analytical derivatives.

Thank you for your help,
Francis

[francis]

z = -(zi + gi*p14 + mpi*p16 + p15*bi + p12*li + p13*xi - p44*zi - p66*zi - p55*zi - p22*zi - p33*zi - gi*p66*p14 - gi*p14*p55 - gi*p14*p22 + gi*p64*p16 - gi*p14*p33 + gi*p54*p15 + gi*p24*p12 + gi*p34*p13 - mpi*p44*p16 + mpi*p14*p46 - mpi*p16*p55 - mpi*p16*p22 - mpi*p16*p33 + mpi*p15*p56 + mpi*p12*p26 + mpi*p13*p36 - p44*p15*bi - p44*p12*li - p44*p13*xi + p14*p45*bi - p66*p15*bi + p14*p42*li - p66*p12*li + p14*p43*xi - p66*p13*xi - p22*p15*bi + p16*p65*bi - p55*p12*li - p33*p15*bi + p16*p62*li - p33*p12*li - p55*p13*xi - p22*p13*xi + p16*p63*xi + p15*p52*li + p12*p25*bi + p15*p53*xi + p13*p35*bi + p12*p23*xi + p13*p32*li + p44*p66*zi + p44*p55*zi + p44*p22*zi + p44*p33*zi - p46*p64*zi + p66*p55*zi + p66*p22*zi + p66*p33*zi + p55*p22*zi + p55*p33*zi + p22*p33*zi - p45*p54*zi - p42*p24*zi - p43*p34*zi - p65*p56*zi - p62*p26*zi - p63*p36*zi - p52*p25*zi - p53*p35*zi - p23*p32*zi + gi*p66*p14*p55 + gi*p66*p14*p22 + gi*p66*p14*p33 + gi*p14*p55*p22 - gi*p64*p16*p55 + gi*p14*p55*p33 - gi*p64*p16*p22 + gi*p14*p22*p33 - gi*p64*p16*p33 - gi*p66*p54*p15 - gi*p66*p24*p12 - gi*p66*p34*p13 - gi*p22*p54*p15 - gi*p14*p65*p56 + gi*p64*p15*p56 + gi*p16*p54*p65 - gi*p55*p24*p12 - gi*p33*p54*p15 - gi*p14*p62*p26 + gi*p64*p12*p26 + gi*p16*p24*p62 - gi*p33*p24*p12 - gi*p55*p34*p13 - gi*p22*p34*p13 - gi*p14*p63*p36 + gi*p64*p13*p36 + gi*p16*p34*p63 - gi*p14*p52*p25 + gi*p54*p12*p25 + gi*p24*p15*p52 - gi*p14*p53*p35 + gi*p54*p13*p35 + gi*p15*p34*p53 - gi*p14*p23*p32 + gi*p24*p13*p32 + gi*p34*p12*p23 + mpi*p44*p16*p55 + mpi*p44*p16*p22 +mpi*p44*p16*p33 - mpi*p14*p46*p55 - mpi*p14*p46*p22 - mpi*p14*p46*p33 + mpi*p16*p55*p22 + mpi*p16*p55*p33 + mpi*p16*p22*p33 - mpi*p44*p15*p56 - mpi*p44*p12*p26 - mpi*p44*p13*p36 + mpi*p14*p45*p56 + mpi*p46*p54*p15 - mpi*p16*p45*p54 + mpi*p14*p42*p26 + mpi*p46*p24*p12 - mpi*p16*p42*p24 + mpi*p14*p43*p36 + mpi*p46*p34*p13 - mpi*p16*p43*p34 - mpi*p22*p15*p56 - mpi*p55*p12*p26 - mpi*p33*p15*p56 - mpi*p33*p12*p26 - mpi*p55*p13*p36 - mpi*p22*p13*p36 - mpi*p16*p52*p25 + mpi*p15*p26*p52 + mpi*p12*p56*p25 - mpi*p16*p53*p35 + mpi*p15*p36*p53 + mpi*p13*p56*p35 - mpi*p16*p23*p32 + mpi*p12*p36*p23 + mpi*p13*p26*p32 + p44*p66*p15*bi + p44*p66*p12*li + p44*p66*p13*xi - p66*p14*p45*bi - p66*p14*p42*li - p66*p14*p43*xi + p44*p22*p15*bi - p44*p16*p65*bi + p44*p55*p12*li + p44*p33*p15*bi - p44*p16*p62*li + p44*p33*p12*li + p44*p55*p13*xi + p44*p22*p13*xi - p44*p16*p63*xi - p14*p22*p45*bi + p14*p46*p65*bi - p46*p64*p15*bi + p64*p16*p45*bi - p14*p55*p42*li - p14*p33*p45*bi + p66*p22*p15*bi + p14*p46*p62*li - p46*p64*p12*li + p64*p16*p42*li + p66*p55*p12*li + p66*p33*p15*bi - p14*p33*p42*li - p14*p55*p43*xi - p14*p22*p43*xi + p66*p33*p12*li + p14*p46*p63*xi - p46*p64*p13*xi + p64*p16*p43*xi + p66*p55*p13*xi + p66*p22*p13*xi - p16*p22*p65*bi + p22*p33*p15*bi - p16*p55*p62*li - p16*p33*p65*bi + p55*p33*p12*li + p55*p22*p13*xi - p16*p33*p62*li - p16*p55*p63*xi - p16*p22*p63*xi - p44*p15*p52*li - p44*p12*p25*bi - p44*p15*p53*xi - p44*p13*p35*bi - p44*p12*p23*xi - p44*p13*p32*li + p14*p45*p52*li + p14*p42*p25*bi - p45*p54*p12*li + p45*p24*p12*bi + p54*p42*p15*li - p42*p24*p15*bi - p66*p15*p52*li - p66*p12*p25*bi + p14*p45*p53*xi + p14*p43*p35*bi - p45*p54*p13*xi + p45*p34*p13*bi + p54*p15*p43*xi - p15*p43*p34*bi - p66*p15*p53*xi - p66*p13*p35*bi + p14*p42*p23*xi + p14*p43*p32*li - p42*p24*p13*xi + p42*p34*p13*li + p24*p43*p12*xi - p43*p34*p12*li - p66*p12*p23*xi - p66*p13*p32*li + p16*p65*p52*li + p16*p62*p25*bi + p15*p56*p62*li - p15*p62*p26*bi - p12*p65*p56*li + p12*p65*p26*bi - p33*p15*p52*li - p33*p12*p25*bi - p22*p15*p53*xi - p22*p13*p35*bi + p16*p65*p53*xi + p16*p63*p35*bi + p15*p56*p63*xi - p15*p63*p36*bi - p13*p65*p56*xi + p13*p65*p36*bi - p55*p12*p23*xi - p55*p13*p32*li + p16*p62*p23*xi + p16*p63*p32*li + p12*p26*p63*xi - p12*p63*p36*li - p13*p62*p26*xi + p13*p62*p36*li + p15*p52*p23*xi + p15*p53*p32*li - p15*p23*p32*bi + p12*p25*p53*xi - p12*p53*p35*li + p12*p35*p23*bi - p13*p52*p25*xi + p13*p52*p35*li + p13*p25*p32*bi - p44*p66*p55*zi - p44*p66*p22*zi - p44*p66*p33*zi - p44*p55*p22*zi - p44*p55*p33*zi - p44*p22*p33*zi + p46*p64*p55*zi + p46*p64*p22*zi - p66*p55*p22*zi + p46*p64*p33*zi - p66*p55*p33*zi - p66*p22*p33*zi + p66*p45*p54*zi + p66*p42*p24*zi - p55*p22*p33*zi + p66*p43*p34*zi + p44*p65*p56*zi + p44*p62*p26*zi + p44*p63*p36*zi + p22*p45*p54*zi - p46*p54*p65*zi - p64*p45*p56*zi + p55*p42*p24*zi + p33*p45*p54*zi - p46*p24*p62*zi - p64*p42*p26*zi + p33*p42*p24*zi + p55*p43*p34*zi + p22*p43*p34*zi - p46*p34*p63*zi - p64*p43*p36*zi + p22*p65*p56*zi + p55*p62*p26*zi + p33*p65*p56*zi + p33*p62*p26*zi + p55*p63*p36*zi + p22*p63*p36*zi + p44*p52*p25*zi + p44*p53*p35*zi + p44*p23*p32*zi - p45*p24*p52*zi - p54*p42*p25*zi + p66*p52*p25*zi - p45*p34*p53*zi - p54*p43*p35*zi + p66*p53*p35*zi - p42*p34*p23*zi - p24*p43*p32*zi + p66*p23*p32*zi - p65*p26*p52*zi - p56*p62*p25*zi + p33*p52*p25*zi + p22*p53*p35*zi - p65*p36*p53*zi - p56*p63*p35*zi + p55*p23*p32*zi - p62*p36*p23*zi - p26*p63*p32*zi - p52*p35*p23*zi - p25*p53*p32*zi - gi*p66*p14*p55*p22 - gi*p66*p14*p55*p33 - gi*p66*p14*p22*p33 + gi*p64*p16*p55*p22 - gi*p14*p55*p22*p33 + gi*p64*p16*p55*p33 + gi*p64*p16*p22*p33 + gi*p66*p22*p54*p15 + gi*p66*p55*p24*p12 + gi*p66*p33*p54*p15 + gi*p66*p33*p24*p12 + gi*p66*p55*p34*p13 + gi*p66*p22*p34*p13 + gi*p14*p22*p65*p56 - gi*p64*p22*p15*p56 - gi*p16*p22*p54*p65 + gi*p22*p33*p54*p15 + gi*p14*p55*p62*p26 - gi*p64*p55*p12*p26 - gi*p16*p55*p24*p62 + gi*p14*p33*p65*p56 - gi*p64*p33*p15*p56 - gi*p16*p33*p54*p65 + gi*p55*p33*p24*p12 + gi*p55*p22*p34*p13 + gi*p14*p33*p62*p26 - gi*p64*p33*p12*p26 - gi*p16*p33*p24*p62 + gi*p14*p55*p63*p36 - gi*p64*p55*p13*p36 - gi*p16*p55*p34*p63 + gi*p14*p22*p63*p36 - gi*p64*p22*p13*p36 - gi*p16*p22*p34*p63 + gi*p66*p14*p52*p25 - gi*p66*p54*p12*p25 - gi*p66*p24*p15*p52 + gi*p66*p14*p53*p35 - gi*p66*p54*p13*p35 - gi*p66*p15*p34*p53 + gi*p66*p14*p23*p32 - gi*p66*p24*p13*p32 - gi*p66*p34*p12*p23 - gi*p14*p65*p26*p52 - gi*p14*p56*p62*p25 - gi*p64*p16*p52*p25 + gi*p64*p15*p26*p52 + gi*p64*p12*p56*p25 + gi*p16*p54*p62*p25 + gi*p16*p24*p65*p52 - gi*p54*p15*p62*p26 + gi*p54*p12*p65*p26 + gi*p24*p15*p56*p62 - gi*p24*p12*p65*p56 + gi*p14*p33*p52*p25 - gi*p33*p54*p12*p25 - gi*p33*p24*p15*p52 + gi*p14*p22*p53*p35 - gi*p22*p54*p13*p35 - gi*p22*p15*p34*p53 - gi*p14*p65*p36*p53 - gi*p14*p56*p63*p35 - gi*p64*p16*p53*p35 + gi*p64*p15*p36*p53 + gi*p64*p13*p56*p35 + gi*p16*p54*p63*p35 + gi*p16*p34*p65*p53 - gi*p54*p15*p63*p36 + gi*p54*p13*p65*p36 + gi*p15*p34*p56*p63 - gi*p34*p13*p65*p56 + gi*p14*p55*p23*p32 - gi*p55*p24*p13*p32 - gi*p55*p34*p12*p23 - gi*p14*p62*p36*p23 - gi*p14*p26*p63*p32 - gi*p64*p16*p23*p32 + gi*p64*p12*p36*p23 + gi*p64*p13*p26*p32 + gi*p16*p24*p63*p32 + gi*p16*p34*p62*p23 - gi*p24*p12*p63*p36 + gi*p24*p13*p62*p36 + gi*p34*p12*p26*p63 - gi*p34*p13*p62*p26 - gi*p14*p52*p35*p23 - gi*p14*p25*p53*p32 - gi*p54*p15*p23*p32 + gi*p54*p12*p35*p23 + gi*p54*p13*p25*p32 + gi*p24*p15*p53*p32 - gi*p24*p12*p53*p35 + gi*p24*p13*p52*p35 + gi*p15*p34*p52*p23 + gi*p34*p12*p25*p53 - gi*p34*p13*p52*p25 - mpi*p44*p16*p55*p22 - mpi*p44*p16*p55*p33 - mpi*p44*p16*p22*p33 + mpi*p14*p46*p55*p22 + mpi*p14*p46*p55*p33 + mpi*p14*p46*p22*p33 - mpi*p16*p55*p22*p33 + mpi*p44*p22*p15*p56 + mpi*p44*p55*p12*p26 + mpi*p44*p33*p15*p56 + mpi*p44*p33*p12*p26 + mpi*p44*p55*p13*p36 + mpi*p44*p22*p13*p36 - mpi*p14*p22*p45*p56 - mpi*p46*p22*p54*p15 + mpi*p16*p22*p45*p54 - mpi*p14*p55*p42*p26 - mpi*p46*p55*p24*p12 + mpi*p16*p55*p42*p24 - mpi*p14*p33*p45*p56 - mpi*p46*p33*p54*p15 + mpi*p16*p33*p45*p54 - mpi*p14*p33*p42*p26 - mpi*p46*p33*p24*p12 + mpi*p16*p33*p42*p24 - mpi*p14*p55*p43*p36 - mpi*p46*p55*p34*p13 + mpi*p16*p55*p43*p34 - mpi*p14*p22*p43*p36 - mpi*p46*p22*p34*p13 + mpi*p16*p22*p43*p34 + mpi*p22*p33*p15*p56 + mpi*p55*p33*p12*p26 + mpi*p55*p22*p13*p36 + mpi*p44*p16*p52*p25 - mpi*p44*p15*p26*p52 - mpi*p44*p12*p56*p25 + mpi*p44*p16*p53*p35 - mpi*p44*p15*p36*p53 - mpi*p44*p13*p56*p35 + mpi*p44*p16*p23*p32 - mpi*p44*p12*p36*p23 - mpi*p44*p13*p26*p32 - mpi*p14*p46*p52*p25 + mpi*p14*p45*p26*p52 + mpi*p14*p42*p56*p25 + mpi*p46*p54*p12*p25 + mpi*p46*p24*p15*p52 - mpi*p16*p45*p24*p52 - mpi*p16*p54*p42*p25 - mpi*p45*p54*p12*p26 + mpi*p45*p24*p12*p56 + mpi*p54*p42*p15*p26 - mpi*p42*p24*p15*p56 - mpi*p14*p46*p53*p35 + mpi*p14*p45*p36*p53 + mpi*p14*p43*p56*p35 + mpi*p46*p54*p13*p35 + mpi*p46*p15*p34*p53 - mpi*p16*p45*p34*p53 - mpi*p16*p54*p43*p35 - mpi*p45*p54*p13*p36 + mpi*p45*p34*p13*p56 + mpi*p54*p15*p43*p36 - mpi*p15*p43*p34*p56 - mpi*p14*p46*p23*p32 + mpi*p14*p42*p36*p23 + mpi*p14*p43*p26*p32 + mpi*p46*p24*p13*p32 + mpi*p46*p34*p12*p23 - mpi*p16*p42*p34*p23 - mpi*p16*p24*p43*p32 - mpi*p42*p24*p13*p36 + mpi*p42*p34*p13*p26 + mpi*p24*p43*p12*p36 - mpi*p43*p34*p12*p26 + mpi*p16*p33*p52*p25 - mpi*p33*p15*p26*p52 - mpi*p33*p12*p56*p25 + mpi*p16*p22*p53*p35 - mpi*p22*p15*p36*p53 - mpi*p22*p13*p56*p35 + mpi*p16*p55*p23*p32 - mpi*p55*p12*p36*p23 - mpi*p55*p13*p26*p32 - mpi*p16*p52*p35*p23 - mpi*p16*p25*p53*p32 - mpi*p15*p56*p23*p32 + mpi*p15*p26*p53*p32 + mpi*p15*p36*p52*p23 + mpi*p12*p56*p35*p23 - mpi*p12*p26*p53*p35 + mpi*p12*p36*p25*p53 + mpi*p13*p56*p25*p32 + mpi*p13*p26*p52*p35 - mpi*p13*p36*p52*p25 - p44*p66*p22*p15*bi - p44*p66*p55*p12*li - p44*p66*p33*p15*bi - p44*p66*p33*p12*li - p44*p66*p55*p13*xi - p44*p66*p22*p13*xi + p66*p14*p22*p45*bi + p66*p14*p55*p42*li + p66*p14*p33*p45*bi + p66*p14*p33*p42*li + p66*p14*p55*p43*xi + p66*p14*p22*p43*xi + p44*p16*p22*p65*bi - p44*p22*p33*p15*bi + p44*p16*p55*p62*li + p44*p16*p33*p65*bi - p44*p55*p33*p12*li - p44*p55*p22*p13*xi + p44*p16*p33*p62*li + p44*p16*p55*p63*xi + p44*p16*p22*p63*xi - p14*p46*p22*p65*bi + p46*p64*p22*p15*bi - p64*p16*p22*p45*bi + p14*p22*p33*p45*bi - p14*p46*p55*p62*li + p46*p64*p55*p12*li - p64*p16*p55*p42*li - p14*p46*p33*p65*bi + p46*p64*p33*p15*bi - p64*p16*p33*p45*bi + p14*p55*p33*p42*li - p66*p22*p33*p15*bi + p14*p55*p22*p43*xi - p14*p46*p33*p62*li + p46*p64*p33*p12*li - p64*p16*p33*p42*li - p66*p55*p33*p12*li - p14*p46*p55*p63*xi + p46*p64*p55*p13*xi - p64*p16*p55*p43*xi - p14*p46*p22*p63*xi + p46*p64*p22*p13*xi - p64*p16*p22*p43*xi - p66*p55*p22*p13*xi + p44*p66*p15*p52*li + p44*p66*p12*p25*bi + p44*p66*p15*p53*xi + p44*p66*p13*p35*bi + p44*p66*p12*p23*xi + p44*p66*p13*p32*li - p66*p14*p45*p52*li - p66*p14*p42*p25*bi + p66*p45*p54*p12*li - p66*p45*p24*p12*bi - p66*p54*p42*p15*li + p66*p42*p24*p15*bi - p66*p14*p45*p53*xi - p66*p14*p43*p35*bi + p66*p45*p54*p13*xi - p66*p45*p34*p13*bi - p66*p54*p15*p43*xi + p66*p15*p43*p34*bi + p16*p22*p33*p65*bi + p16*p55*p33*p62*li - p66*p14*p42*p23*xi - p66*p14*p43*p32*li + p66*p42*p24*p13*xi - p66*p42*p34*p13*li - p66*p24*p43*p12*xi + p66*p43*p34*p12*li + p16*p55*p22*p63*xi - p44*p16*p65*p52*li - p44*p16*p62*p25*bi - p44*p15*p56*p62*li + p44*p15*p62*p26*bi + p44*p12*p65*p56*li - p44*p12*p65*p26*bi + p44*p33*p15*p52*li + p44*p33*p12*p25*bi + p44*p22*p15*p53*xi + p44*p22*p13*p35*bi - p44*p16*p65*p53*xi - p44*p16*p63*p35*bi - p44*p15*p56*p63*xi + p44*p15*p63*p36*bi + p44*p13*p65*p56*xi - p44*p13*p65*p36*bi + p44*p55*p12*p23*xi + p44*p55*p13*p32*li - p44*p16*p62*p23*xi - p44*p16*p63*p32*li - p44*p12*p26*p63*xi + p44*p12*p63*p36*li + p44*p13*p62*p26*xi - p44*p13*p62*p36*li + p14*p46*p65*p52*li + p14*p46*p62*p25*bi + p14*p45*p56*p62*li - p14*p45*p62*p26*bi - p14*p42*p65*p56*li + p14*p42*p65*p26*bi - p46*p64*p15*p52*li - p46*p64*p12*p25*bi + p46*p54*p15*p62*li - p46*p54*p12*p65*li - p46*p24*p15*p62*bi + p46*p24*p12*p65*bi + p64*p16*p45*p52*li + p64*p16*p42*p25*bi - p64*p45*p12*p56*li + p64*p45*p12*p26*bi + p64*p42*p15*p56*li - p64*p42*p15*p26*bi - p16*p45*p54*p62*li + p16*p45*p24*p62*bi + p16*p54*p42*p65*li - p16*p42*p24*p65*bi - p14*p33*p45*p52*li - p14*p33*p42*p25*bi + p33*p45*p54*p12*li - p33*p45*p24*p12*bi - p33*p54*p42*p15*li + p33*p42*p24*p15*bi - p14*p22*p45*p53*xi - p14*p22*p43*p35*bi + p22*p45*p54*p13*xi - p22*p45*p34*p13*bi - p22*p54*p15*p43*xi + p22*p15*p43*p34*bi + p66*p33*p15*p52*li + p66*p33*p12*p25*bi + p14*p46*p65*p53*xi + p14*p46*p63*p35*bi + p14*p45*p56*p63*xi - p14*p45*p63*p36*bi - p14*p43*p65*p56*xi + p14*p43*p65*p36*bi - p46*p64*p15*p53*xi - p46*p64*p13*p35*bi + p46*p54*p15*p63*xi - p46*p54*p13*p65*xi - p46*p15*p34*p63*bi + p46*p34*p13*p65*bi + p64*p16*p45*p53*xi + p64*p16*p43*p35*bi - p64*p45*p13*p56*xi + p64*p45*p13*p36*bi + p64*p15*p43*p56*xi - p64*p15*p43*p36*bi - p16*p45*p54*p63*xi + p16*p45*p34*p63*bi + p16*p54*p43*p65*xi - p16*p43*p34*p65*bi - p14*p55*p42*p23*xi - p14*p55*p43*p32*li + p55*p42*p24*p13*xi - p55*p42*p34*p13*li - p55*p24*p43*p12*xi + p55*p43*p34*p12*li + p66*p22*p15*p53*xi + p66*p22*p13*p35*bi + p14*p46*p62*p23*xi + p14*p46*p63*p32*li + p14*p42*p26*p63*xi - p14*p42*p63*p36*li - p14*p43*p62*p26*xi + p14*p43*p62*p36*li - p46*p64*p12*p23*xi - p46*p64*p13*p32*li + p46*p24*p12*p63*xi - p46*p24*p13*p62*xi - p46*p34*p12*p63*li + p46*p34*p13*p62*li + p64*p16*p42*p23*xi + p64*p16*p43*p32*li - p64*p42*p13*p26*xi + p64*p42*p13*p36*li + p64*p43*p12*p26*xi - p64*p43*p12*p36*li - p16*p42*p24*p63*xi + p16*p42*p34*p63*li + p16*p24*p43*p62*xi - p16*p43*p34*p62*li + p66*p55*p12*p23*xi + p66*p55*p13*p32*li - p16*p33*p65*p52*li - p16*p33*p62*p25*bi - p33*p15*p56*p62*li + p33*p15*p62*p26*bi + p33*p12*p65*p56*li - p33*p12*p65*p26*bi - p16*p22*p65*p53*xi - p16*p22*p63*p35*bi - p22*p15*p56*p63*xi + p22*p15*p63*p36*bi + p22*p13*p65*p56*xi - p22*p13*p65*p36*bi - p16*p55*p62*p23*xi - p16*p55*p63*p32*li - p55*p12*p26*p63*xi + p55*p12*p63*p36*li + p55*p13*p62*p26*xi - p55*p13*p62*p36*li - p44*p15*p52*p23*xi - p44*p15*p53*p32*li + p44*p15*p23*p32*bi - p44*p12*p25*p53*xi + p44*p12*p53*p35*li - p44*p12*p35*p23*bi + p44*p13*p52*p25*xi - p44*p13*p52*p35*li - p44*p13*p25*p32*bi + p14*p45*p52*p23*xi + p14*p45*p53*p32*li - p14*p45*p23*p32*bi + p14*p42*p25*p53*xi - p14*p42*p53*p35*li + p14*p42*p35*p23*bi - p14*p43*p52*p25*xi + p14*p43*p52*p35*li + p14*p43*p25*p32*bi - p45*p54*p12*p23*xi - p45*p54*p13*p32*li + p45*p24*p12*p53*xi - p45*p24*p13*p52*xi + p45*p24*p13*p32*bi - p45*p34*p12*p53*li + p45*p34*p12*p23*bi + p45*p34*p13*p52*li + p54*p42*p15*p23*xi - p54*p42*p13*p25*xi + p54*p42*p13*p35*li + p54*p15*p43*p32*li + p54*p43*p12*p25*xi - p54*p43*p12*p35*li - p42*p24*p15*p53*xi - p42*p24*p13*p35*bi + p42*p15*p34*p53*li - p42*p15*p34*p23*bi + p42*p34*p13*p25*bi + p24*p15*p43*p52*xi - p24*p15*p43*p32*bi + p24*p43*p12*p35*bi - p15*p43*p34*p52*li - p43*p34*p12*p25*bi - p66*p15*p52*p23*xi - p66*p15*p53*p32*li + p66*p15*p23*p32*bi - p66*p12*p25*p53*xi + p66*p12*p53*p35*li - p66*p12*p35*p23*bi + p66*p13*p52*p25*xi - p66*p13*p52*p35*li - p66*p13*p25*p32*bi + p16*p65*p52*p23*xi + p16*p65*p53*p32*li - p16*p65*p23*p32*bi + p16*p62*p25*p53*xi - p16*p62*p53*p35*li + p16*p62*p35*p23*bi - p16*p63*p52*p25*xi + p16*p63*p52*p35*li + p16*p63*p25*p32*bi + p15*p56*p62*p23*xi + p15*p56*p63*p32*li - p15*p62*p26*p53*xi + p15*p62*p36*p53*li - p15*p62*p36*p23*bi + p15*p26*p63*p52*xi - p15*p26*p63*p32*bi - p15*p63*p36*p52*li - p12*p65*p56*p23*xi + p12*p65*p26*p53*xi - p12*p65*p36*p53*li + p12*p65*p36*p23*bi + p12*p56*p63*p25*xi - p12*p56*p63*p35*li + p12*p26*p63*p35*bi - p12*p63*p36*p25*bi - p13*p65*p56*p32*li - p13*p65*p26*p52*xi + p13*p65*p26*p32*bi + p13*p65*p36*p52*li - p13*p56*p62*p25*xi + p13*p56*p62*p35*li - p13*p62*p26*p35*bi + p13*p62*p36*p25*bi + p44*p66*p55*p22*zi + p44*p66*p55*p33*zi + p44*p66*p22*p33*zi + p44*p55*p22*p33*zi - p46*p64*p55*p22*zi - p46*p64*p55*p33*zi - p46*p64*p22*p33*zi + p66*p55*p22*p33*zi - p66*p22*p45*p54*zi - p66*p55*p42*p24*zi - p66*p33*p45*p54*zi - p66*p33*p42*p24*zi - p66*p55*p43*p34*zi - p66*p22*p43*p34*zi - p44*p22*p65*p56*zi - p44*p55*p62*p26*zi - p44*p33*p65*p56*zi - p44*p33*p62*p26*zi - p44*p55*p63*p36*zi - p44*p22*p63*p36*zi + p46*p22*p54*p65*zi + p64*p22*p45*p56*zi - p22*p33*p45*p54*zi + p46*p55*p24*p62*zi + p64*p55*p42*p26*zi + p46*p33*p54*p65*zi + p64*p33*p45*p56*zi - p55*p33*p42*p24*zi - p55*p22*p43*p34*zi + p46*p33*p24*p62*zi + p64*p33*p42*p26*zi + p46*p55*p34*p63*zi + p64*p55*p43*p36*zi + p46*p22*p34*p63*zi + p64*p22*p43*p36*zi - p44*p66*p52*p25*zi - p44*p66*p53*p35*zi - p44*p66*p23*p32*zi + p66*p45*p24*p52*zi + p66*p54*p42*p25*zi + p66*p45*p34*p53*zi + p66*p54*p43*p35*zi - p22*p33*p65*p56*zi - p55*p33*p62*p26*zi + p66*p42*p34*p23*zi + p66*p24*p43*p32*zi - p55*p22*p63*p36*zi + p44*p65*p26*p52*zi + p44*p56*p62*p25*zi - p44*p33*p52*p25*zi - p44*p22*p53*p35*zi + p44*p65*p36*p53*zi + p44*p56*p63*p35*zi - p44*p55*p23*p32*zi + p44*p62*p36*p23*zi + p44*p26*p63*p32*zi + p46*p64*p52*p25*zi - p46*p54*p62*p25*zi - p46*p24*p65*p52*zi - p64*p45*p26*p52*zi - p64*p42*p56*p25*zi + p45*p54*p62*p26*zi - p45*p24*p56*p62*zi - p54*p42*p65*p26*zi + p42*p24*p65*p56*zi + p33*p45*p24*p52*zi + p33*p54*p42*p25*zi + p22*p45*p34*p53*zi + p22*p54*p43*p35*zi - p66*p33*p52*p25*zi + p46*p64*p53*p35*zi - p46*p54*p63*p35*zi - p46*p34*p65*p53*zi - p64*p45*p36*p53*zi - p64*p43*p56*p35*zi + p45*p54*p63*p36*zi - p45*p34*p56*p63*zi - p54*p43*p65*p36*zi + p43*p34*p65*p56*zi + p55*p42*p34*p23*zi + p55*p24*p43*p32*zi - p66*p22*p53*p35*zi + p46*p64*p23*p32*zi - p46*p24*p63*p32*zi - p46*p34*p62*p23*zi - p64*p42*p36*p23*zi - p64*p43*p26*p32*zi + p42*p24*p63*p36*zi - p42*p34*p26*p63*zi - p24*p43*p62*p36*zi + p43*p34*p62*p26*zi - p66*p55*p23*p32*zi + p33*p65*p26*p52*zi + p33*p56*p62*p25*zi + p22*p65*p36*p53*zi + p22*p56*p63*p35*zi + p55*p62*p36*p23*zi + p55*p26*p63*p32*zi + p44*p52*p35*p23*zi + p44*p25*p53*p32*zi + p45*p54*p23*p32*zi - p45*p24*p53*p32*zi - p45*p34*p52*p23*zi - p54*p42*p35*p23*zi - p54*p43*p25*p32*zi + p42*p24*p53*p35*zi - p42*p34*p25*p53*zi - p24*p43*p52*p35*zi + p43*p34*p52*p25*zi + p66*p52*p35*p23*zi + p66*p25*p53*p32*zi + p65*p56*p23*p32*zi - p65*p26*p53*p32*zi - p65*p36*p52*p23*zi - p56*p62*p35*p23*zi - p56*p63*p25*p32*zi + p62*p26*p53*p35*zi - p62*p36*p25*p53*zi - p26*p63*p52*p35*zi + p63*p36*p52*p25*zi + gi*p66*p14*p55*p22*p33 - gi*p64*p16*p55*p22*p33 - gi*p66*p22*p33*p54*p15 - gi*p66*p55*p33*p24*p12 - gi*p66*p55*p22*p34*p13 - gi*p14*p22*p33*p65*p56 + gi*p64*p22*p33*p15*p56 + gi*p16*p22*p33*p54*p65 - gi*p14*p55*p33*p62*p26 + gi*p64*p55*p33*p12*p26 + gi*p16*p55*p33*p24*p62 - gi*p14*p55*p22*p63*p36 + gi*p64*p55*p22*p13*p36 + gi*p16*p55*p22*p34*p63 - gi*p66*p14*p33*p52*p25 + gi*p66*p33*p54*p12*p25 + gi*p66*p33*p24*p15*p52 - gi*p66*p14*p22*p53*p35 + gi*p66*p22*p54*p13*p35 + gi*p66*p22*p15*p34*p53 - gi*p66*p14*p55*p23*p32 + gi*p66*p55*p24*p13*p32 + gi*p66*p55*p34*p12*p23 + gi*p14*p33*p65*p26*p52 + gi*p14*p33*p56*p62*p25 + gi*p64*p16*p33*p52*p25 - gi*p64*p33*p15*p26*p52 - gi*p64*p33*p12*p56*p25 - gi*p16*p33*p54*p62*p25 - gi*p16*p33*p24*p65*p52 + gi*p33*p54*p15*p62*p26 - gi*p33*p54*p12*p65*p26 - gi*p33*p24*p15*p56*p62 + gi*p33*p24*p12*p65*p56 + gi*p14*p22*p65*p36*p53 + gi*p14*p22*p56*p63*p35 + gi*p64*p16*p22*p53*p35 - gi*p64*p22*p15*p36*p53 - gi*p64*p22*p13*p56*p35 - gi*p16*p22*p54*p63*p35 - gi*p16*p22*p34*p65*p53 + gi*p22*p54*p15*p63*p36 - gi*p22*p54*p13*p65*p36 - gi*p22*p15*p34*p56*p63 + gi*p22*p34*p13*p65*p56 + gi*p14*p55*p62*p36*p23 + gi*p14*p55*p26*p63*p32 + gi*p64*p16*p55*p23*p32 - gi*p64*p55*p12*p36*p23 - gi*p64*p55*p13*p26*p32 - gi*p16*p55*p24*p63*p32 - gi*p16*p55*p34*p62*p23 + gi*p55*p24*p12*p63*p36 - gi*p55*p24*p13*p62*p36 - gi*p55*p34*p12*p26*p63 + gi*p55*p34*p13*p62*p26 + gi*p66*p14*p52*p35*p23 + gi*p66*p14*p25*p53*p32 + gi*p66*p54*p15*p23*p32 - gi*p66*p54*p12*p35*p23 - gi*p66*p54*p13*p25*p32 - gi*p66*p24*p15*p53*p32 + gi*p66*p24*p12*p53*p35 - gi*p66*p24*p13*p52*p35 - gi*p66*p15*p34*p52*p23 - gi*p66*p34*p12*p25*p53 + gi*p66*p34*p13*p52*p25 + gi*p14*p65*p56*p23*p32 - gi*p14*p65*p26*p53*p32 - gi*p14*p65*p36*p52*p23 - gi*p14*p56*p62*p35*p23 - gi*p14*p56*p63*p25*p32 + gi*p14*p62*p26*p53*p35 - gi*p14*p62*p36*p25*p53 - gi*p14*p26*p63*p52*p35 + gi*p14*p63*p36*p52*p25 - gi*p64*p16*p52*p35*p23 - gi*p64*p16*p25*p53*p32 - gi*p64*p15*p56*p23*p32 + gi*p64*p15*p26*p53*p32 + gi*p64*p15*p36*p52*p23 + gi*p64*p12*p56*p35*p23 - gi*p64*p12*p26*p53*p35 + gi*p64*p12*p36*p25*p53 + gi*p64*p13*p56*p25*p32 + gi*p64*p13*p26*p52*p35 - gi*p64*p13*p36*p52*p25 - gi*p16*p54*p65*p23*p32 + gi*p16*p54*p62*p35*p23 + gi*p16*p54*p63*p25*p32 + gi*p16*p24*p65*p53*p32 - gi*p16*p24*p62*p53*p35 + gi*p16*p24*p63*p52*p35 + gi*p16*p34*p65*p52*p23 + gi*p16*p34*p62*p25*p53 - gi*p16*p34*p63*p52*p25 - gi*p54*p15*p62*p36*p23 - gi*p54*p15*p26*p63*p32 + gi*p54*p12*p65*p36*p23 + gi*p54*p12*p26*p63*p35 - gi*p54*p12*p63*p36*p25 + gi*p54*p13*p65*p26*p32 - gi*p54*p13*p62*p26*p35 + gi*p54*p13*p62*p36*p25 + gi*p24*p15*p56*p63*p32 + gi*p24*p15*p62*p36*p53 - gi*p24*p15*p63*p36*p52 - gi*p24*p12*p65*p36*p53 - gi*p24*p12*p56*p63*p35 - gi*p24*p13*p65*p56*p32 + gi*p24*p13*p65*p36*p52 + gi*p24*p13*p56*p62*p35 + gi*p15*p34*p56*p62*p23 - gi*p15*p34*p62*p26*p53 + gi*p15*p34*p26*p63*p52 - gi*p34*p12*p65*p56*p23 + gi*p34*p12*p65*p26*p53 + gi*p34*p12*p56*p63*p25 - gi*p34*p13*p65*p26*p52 - gi*p34*p13*p56*p62*p25 + mpi*p44*p16*p55*p22*p33 - mpi*p14*p46*p55*p22*p33 - mpi*p44*p22*p33*p15*p56 - mpi*p44*p55*p33*p12*p26 - mpi*p44*p55*p22*p13*p36 + mpi*p14*p22*p33*p45*p56 + mpi*p46*p22*p33*p54*p15 - mpi*p16*p22*p33*p45*p54 + mpi*p14*p55*p33*p42*p26 + mpi*p46*p55*p33*p24*p12 - mpi*p16*p55*p33*p42*p24 + mpi*p14*p55*p22*p43*p36 + mpi*p46*p55*p22*p34*p13 - mpi*p16*p55*p22*p43*p34 - mpi*p44*p16*p33*p52*p25 + mpi*p44*p33*p15*p26*p52 + mpi*p44*p33*p12*p56*p25 - mpi*p44*p16*p22*p53*p35 + mpi*p44*p22*p15*p36*p53 + mpi*p44*p22*p13*p56*p35 - mpi*p44*p16*p55*p23*p32 + mpi*p44*p55*p12*p36*p23 + mpi*p44*p55*p13*p26*p32 + mpi*p14*p46*p33*p52*p25 - mpi*p14*p33*p45*p26*p52 - mpi*p14*p33*p42*p56*p25 - mpi*p46*p33*p54*p12*p25 - mpi*p46*p33*p24*p15*p52 + mpi*p16*p33*p45*p24*p52 + mpi*p16*p33*p54*p42*p25 + mpi*p33*p45*p54*p12*p26 - mpi*p33*p45*p24*p12*p56 - mpi*p33*p54*p42*p15*p26 + mpi*p33*p42*p24*p15*p56 + mpi*p14*p46*p22*p53*p35 - mpi*p14*p22*p45*p36*p53 - mpi*p14*p22*p43*p56*p35 - mpi*p46*p22*p54*p13*p35 - mpi*p46*p22*p15*p34*p53 + mpi*p16*p22*p45*p34*p53 + mpi*p16*p22*p54*p43*p35 + mpi*p22*p45*p54*p13*p36 - mpi*p22*p45*p34*p13*p56 - mpi*p22*p54*p15*p43*p36 + mpi*p22*p15*p43*p34*p56 + mpi*p14*p46*p55*p23*p32 - mpi*p14*p55*p42*p36*p23 - mpi*p14*p55*p43*p26*p32 - mpi*p46*p55*p24*p13*p32 - mpi*p46*p55*p34*p12*p23 + mpi*p16*p55*p42*p34*p23 + mpi*p16*p55*p24*p43*p32 + mpi*p55*p42*p24*p13*p36 - mpi*p55*p42*p34*p13*p26 - mpi*p55*p24*p43*p12*p36 + mpi*p55*p43*p34*p12*p26 + mpi*p44*p16*p52*p35*p23 + mpi*p44*p16*p25*p53*p32 + mpi*p44*p15*p56*p23*p32 - mpi*p44*p15*p26*p53*p32 - mpi*p44*p15*p36*p52*p23 - mpi*p44*p12*p56*p35*p23 + mpi*p44*p12*p26*p53*p35 - mpi*p44*p12*p36*p25*p53 - mpi*p44*p13*p56*p25*p32 - mpi*p44*p13*p26*p52*p35 + mpi*p44*p13*p36*p52*p25 - mpi*p14*p46*p52*p35*p23 - mpi*p14*p46*p25*p53*p32 - mpi*p14*p45*p56*p23*p32 + mpi*p14*p45*p26*p53*p32 + mpi*p14*p45*p36*p52*p23 + mpi*p14*p42*p56*p35*p23 - mpi*p14*p42*p26*p53*p35 + mpi*p14*p42*p36*p25*p53 + mpi*p14*p43*p56*p25*p32 + mpi*p14*p43*p26*p52*p35 - mpi*p14*p43*p36*p52*p25 - mpi*p46*p54*p15*p23*p32 + mpi*p46*p54*p12*p35*p23 + mpi*p46*p54*p13*p25*p32 + mpi*p46*p24*p15*p53*p32 - mpi*p46*p24*p12*p53*p35 + mpi*p46*p24*p13*p52*p35 + mpi*p46*p15*p34*p52*p23 + mpi*p46*p34*p12*p25*p53 - mpi*p46*p34*p13*p52*p25 + mpi*p16*p45*p54*p23*p32 - mpi*p16*p45*p24*p53*p32 - mpi*p16*p45*p34*p52*p23 - mpi*p16*p54*p42*p35*p23 - mpi*p16*p54*p43*p25*p32 + mpi*p16*p42*p24*p53*p35 - mpi*p16*p42*p34*p25*p53 - mpi*p16*p24*p43*p52*p35 + mpi*p16*p43*p34*p52*p25 - mpi*p45*p54*p12*p36*p23 - mpi*p45*p54*p13*p26*p32 + mpi*p45*p24*p12*p36*p53 + mpi*p45*p24*p13*p56*p32 - mpi*p45*p24*p13*p36*p52 + mpi*p45*p34*p12*p56*p23 - mpi*p45*p34*p12*p26*p53 + mpi*p45*p34*p13*p26*p52 + mpi*p54*p42*p15*p36*p23 + mpi*p54*p42*p13*p26*p35 - mpi*p54*p42*p13*p36*p25 + mpi*p54*p15*p43*p26*p32 - mpi*p54*p43*p12*p26*p35 + mpi*p54*p43*p12*p36*p25 - mpi*p42*p24*p15*p36*p53 - mpi*p42*p24*p13*p56*p35 - mpi*p42*p15*p34*p56*p23 + mpi*p42*p15*p34*p26*p53 + mpi*p42*p34*p13*p56*p25 - mpi*p24*p15*p43*p56*p32 + mpi*p24*p15*p43*p36*p52 + mpi*p24*p43*p12*p56*p35 - mpi*p15*p43*p34*p26*p52 - mpi*p43*p34*p12*p56*p25 + p44*p66*p22*p33*p15*bi + p44*p66*p55*p33*p12*li + p44*p66*p55*p22*p13*xi - p66*p14*p22*p33*p45*bi - p66*p14*p55*p33*p42*li - p66*p14*p55*p22*p43*xi - p44*p16*p22*p33*p65*bi - p44*p16*p55*p33*p62*li - p44*p16*p55*p22*p63*xi + p14*p46*p22*p33*p65*bi - p46*p64*p22*p33*p15*bi + p64*p16*p22*p33*p45*bi + p14*p46*p55*p33*p62*li - p46*p64*p55*p33*p12*li + p64*p16*p55*p33*p42*li + p14*p46*p55*p22*p63*xi - p46*p64*p55*p22*p13*xi + p64*p16*p55*p22*p43*xi - p44*p66*p33*p15*p52*li - p44*p66*p33*p12*p25*bi - p44*p66*p22*p15*p53*xi - p44*p66*p22*p13*p35*bi - p44*p66*p55*p12*p23*xi - p44*p66*p55*p13*p32*li + p66*p14*p33*p45*p52*li + p66*p14*p33*p42*p25*bi - p66*p33*p45*p54*p12*li + p66*p33*p45*p24*p12*bi + p66*p33*p54*p42*p15*li - p66*p33*p42*p24*p15*bi + p66*p14*p22*p45*p53*xi + p66*p14*p22*p43*p35*bi - p66*p22*p45*p54*p13*xi + p66*p22*p45*p34*p13*bi + p66*p22*p54*p15*p43*xi - p66*p22*p15*p43*p34*bi + p66*p14*p55*p42*p23*xi + p66*p14*p55*p43*p32*li - p66*p55*p42*p24*p13*xi + p66*p55*p42*p34*p13*li + p66*p55*p24*p43*p12*xi - p66*p55*p43*p34*p12*li + p44*p16*p33*p65*p52*li + p44*p16*p33*p62*p25*bi + p44*p33*p15*p56*p62*li - p44*p33*p15*p62*p26*bi - p44*p33*p12*p65*p56*li + p44*p33*p12*p65*p26*bi + p44*p16*p22*p65*p53*xi + p44*p16*p22*p63*p35*bi + p44*p22*p15*p56*p63*xi - p44*p22*p15*p63*p36*bi - p44*p22*p13*p65*p56*xi + p44*p22*p13*p65*p36*bi + p44*p16*p55*p62*p23*xi + p44*p16*p55*p63*p32*li + p44*p55*p12*p26*p63*xi - p44*p55*p12*p63*p36*li - p44*p55*p13*p62*p26*xi + p44*p55*p13*p62*p36*li - p14*p46*p33*p65*p52*li - p14*p46*p33*p62*p25*bi - p14*p33*p45*p56*p62*li + p14*p33*p45*p62*p26*bi + p14*p33*p42*p65*p56*li - p14*p33*p42*p65*p26*bi + p46*p64*p33*p15*p52*li + p46*p64*p33*p12*p25*bi - p46*p33*p54*p15*p62*li + p46*p33*p54*p12*p65*li + p46*p33*p24*p15*p62*bi - p46*p33*p24*p12*p65*bi - p64*p16*p33*p45*p52*li - p64*p16*p33*p42*p25*bi + p64*p33*p45*p12*p56*li - p64*p33*p45*p12*p26*bi - p64*p33*p42*p15*p56*li + p64*p33*p42*p15*p26*bi + p16*p33*p45*p54*p62*li - p16*p33*p45*p24*p62*bi - p16*p33*p54*p42*p65*li + p16*p33*p42*p24*p65*bi - p14*p46*p22*p65*p53*xi - p14*p46*p22*p63*p35*bi - p14*p22*p45*p56*p63*xi + p14*p22*p45*p63*p36*bi + p14*p22*p43*p65*p56*xi - p14*p22*p43*p65*p36*bi + p46*p64*p22*p15*p53*xi + p46*p64*p22*p13*p35*bi - p46*p22*p54*p15*p63*xi + p46*p22*p54*p13*p65*xi + p46*p22*p15*p34*p63*bi - p46*p22*p34*p13*p65*bi - p64*p16*p22*p45*p53*xi - p64*p16*p22*p43*p35*bi + p64*p22*p45*p13*p56*xi - p64*p22*p45*p13*p36*bi - p64*p22*p15*p43*p56*xi + p64*p22*p15*p43*p36*bi + p16*p22*p45*p54*p63*xi - p16*p22*p45*p34*p63*bi - p16*p22*p54*p43*p65*xi + p16*p22*p43*p34*p65*bi - p14*p46*p55*p62*p23*xi - p14*p46*p55*p63*p32*li - p14*p55*p42*p26*p63*xi + p14*p55*p42*p63*p36*li + p14*p55*p43*p62*p26*xi - p14*p55*p43*p62*p36*li + p46*p64*p55*p12*p23*xi + p46*p64*p55*p13*p32*li - p46*p55*p24*p12*p63*xi + p46*p55*p24*p13*p62*xi + p46*p55*p34*p12*p63*li - p46*p55*p34*p13*p62*li - p64*p16*p55*p42*p23*xi - p64*p16*p55*p43*p32*li + p64*p55*p42*p13*p26*xi - p64*p55*p42*p13*p36*li - p64*p55*p43*p12*p26*xi + p64*p55*p43*p12*p36*li + p16*p55*p42*p24*p63*xi - p16*p55*p42*p34*p63*li - p16*p55*p24*p43*p62*xi + p16*p55*p43*p34*p62*li + p44*p66*p15*p52*p23*xi + p44*p66*p15*p53*p32*li - p44*p66*p15*p23*p32*bi + p44*p66*p12*p25*p53*xi - p44*p66*p12*p53*p35*li + p44*p66*p12*p35*p23*bi - p44*p66*p13*p52*p25*xi + p44*p66*p13*p52*p35*li + p44*p66*p13*p25*p32*bi - p66*p14*p45*p52*p23*xi - p66*p14*p45*p53*p32*li + p66*p14*p45*p23*p32*bi - p66*p14*p42*p25*p53*xi + p66*p14*p42*p53*p35*li - p66*p14*p42*p35*p23*bi + p66*p14*p43*p52*p25*xi - p66*p14*p43*p52*p35*li - p66*p14*p43*p25*p32*bi + p66*p45*p54*p12*p23*xi + p66*p45*p54*p13*p32*li - p66*p45*p24*p12*p53*xi + p66*p45*p24*p13*p52*xi - p66*p45*p24*p13*p32*bi + p66*p45*p34*p12*p53*li - p66*p45*p34*p12*p23*bi - p66*p45*p34*p13*p52*li - p66*p54*p42*p15*p23*xi + p66*p54*p42*p13*p25*xi - p66*p54*p42*p13*p35*li - p66*p54*p15*p43*p32*li - p66*p54*p43*p12*p25*xi + p66*p54*p43*p12*p35*li + p66*p42*p24*p15*p53*xi + p66*p42*p24*p13*p35*bi - p66*p42*p15*p34*p53*li + p66*p42*p15*p34*p23*bi - p66*p42*p34*p13*p25*bi - p66*p24*p15*p43*p52*xi + p66*p24*p15*p43*p32*bi - p66*p24*p43*p12*p35*bi + p66*p15*p43*p34*p52*li + p66*p43*p34*p12*p25*bi - p44*p16*p65*p52*p23*xi - p44*p16*p65*p53*p32*li + p44*p16*p65*p23*p32*bi - p44*p16*p62*p25*p53*xi + p44*p16*p62*p53*p35*li - p44*p16*p62*p35*p23*bi + p44*p16*p63*p52*p25*xi - p44*p16*p63*p52*p35*li - p44*p16*p63*p25*p32*bi - p44*p15*p56*p62*p23*xi - p44*p15*p56*p63*p32*li + p44*p15*p62*p26*p53*xi - p44*p15*p62*p36*p53*li + p44*p15*p62*p36*p23*bi - p44*p15*p26*p63*p52*xi + p44*p15*p26*p63*p32*bi + p44*p15*p63*p36*p52*li + p44*p12*p65*p56*p23*xi - p44*p12*p65*p26*p53*xi + p44*p12*p65*p36*p53*li - p44*p12*p65*p36*p23*bi - p44*p12*p56*p63*p25*xi + p44*p12*p56*p63*p35*li - p44*p12*p26*p63*p35*bi + p44*p12*p63*p36*p25*bi + p44*p13*p65*p56*p32*li + p44*p13*p65*p26*p52*xi - p44*p13*p65*p26*p32*bi - p44*p13*p65*p36*p52*li + p44*p13*p56*p62*p25*xi - p44*p13*p56*p62*p35*li + p44*p13*p62*p26*p35*bi - p44*p13*p62*p36*p25*bi + p14*p46*p65*p52*p23*xi + p14*p46*p65*p53*p32*li - p14*p46*p65*p23*p32*bi + p14*p46*p62*p25*p53*xi - p14*p46*p62*p53*p35*li + p14*p46*p62*p35*p23*bi - p14*p46*p63*p52*p25*xi + p14*p46*p63*p52*p35*li + p14*p46*p63*p25*p32*bi + p14*p45*p56*p62*p23*xi + p14*p45*p56*p63*p32*li - p14*p45*p62*p26*p53*xi + p14*p45*p62*p36*p53*li - p14*p45*p62*p36*p23*bi + p14*p45*p26*p63*p52*xi - p14*p45*p26*p63*p32*bi - p14*p45*p63*p36*p52*li - p14*p42*p65*p56*p23*xi + p14*p42*p65*p26*p53*xi - p14*p42*p65*p36*p53*li + p14*p42*p65*p36*p23*bi + p14*p42*p56*p63*p25*xi - p14*p42*p56*p63*p35*li + p14*p42*p26*p63*p35*bi - p14*p42*p63*p36*p25*bi - p14*p43*p65*p56*p32*li - p14*p43*p65*p26*p52*xi + p14*p43*p65*p26*p32*bi + p14*p43*p65*p36*p52*li - p14*p43*p56*p62*p25*xi + p14*p43*p56*p62*p35*li - p14*p43*p62*p26*p35*bi + p14*p43*p62*p36*p25*bi - p46*p64*p15*p52*p23*xi - p46*p64*p15*p53*p32*li + p46*p64*p15*p23*p32*bi - p46*p64*p12*p25*p53*xi + p46*p64*p12*p53*p35*li - p46*p64*p12*p35*p23*bi + p46*p64*p13*p52*p25*xi - p46*p64*p13*p52*p35*li - p46*p64*p13*p25*p32*bi + p46*p54*p15*p62*p23*xi + p46*p54*p15*p63*p32*li - p46*p54*p12*p65*p23*xi + p46*p54*p12*p63*p25*xi - p46*p54*p12*p63*p35*li - p46*p54*p13*p65*p32*li - p46*p54*p13*p62*p25*xi + p46*p54*p13*p62*p35*li - p46*p24*p15*p62*p53*xi + p46*p24*p15*p63*p52*xi - p46*p24*p15*p63*p32*bi + p46*p24*p12*p65*p53*xi + p46*p24*p12*p63*p35*bi - p46*p24*p13*p65*p52*xi + p46*p24*p13*p65*p32*bi - p46*p24*p13*p62*p35*bi + p46*p15*p34*p62*p53*li - p46*p15*p34*p62*p23*bi - p46*p15*p34*p63*p52*li - p46*p34*p12*p65*p53*li + p46*p34*p12*p65*p23*bi - p46*p34*p12*p63*p25*bi + p46*p34*p13*p65*p52*li + p46*p34*p13*p62*p25*bi + p64*p16*p45*p52*p23*xi + p64*p16*p45*p53*p32*li - p64*p16*p45*p23*p32*bi + p64*p16*p42*p25*p53*xi - p64*p16*p42*p53*p35*li + p64*p16*p42*p35*p23*bi - p64*p16*p43*p52*p25*xi + p64*p16*p43*p52*p35*li + p64*p16*p43*p25*p32*bi - p64*p45*p12*p56*p23*xi + p64*p45*p12*p26*p53*xi - p64*p45*p12*p36*p53*li + p64*p45*p12*p36*p23*bi - p64*p45*p13*p56*p32*li - p64*p45*p13*p26*p52*xi + p64*p45*p13*p26*p32*bi + p64*p45*p13*p36*p52*li + p64*p42*p15*p56*p23*xi - p64*p42*p15*p26*p53*xi + p64*p42*p15*p36*p53*li - p64*p42*p15*p36*p23*bi - p64*p42*p13*p56*p25*xi + p64*p42*p13*p56*p35*li - p64*p42*p13*p26*p35*bi + p64*p42*p13*p36*p25*bi + p64*p15*p43*p56*p32*li + p64*p15*p43*p26*p52*xi - p64*p15*p43*p26*p32*bi - p64*p15*p43*p36*p52*li + p64*p43*p12*p56*p25*xi - p64*p43*p12*p56*p35*li + p64*p43*p12*p26*p35*bi - p64*p43*p12*p36*p25*bi - p16*p45*p54*p62*p23*xi - p16*p45*p54*p63*p32*li + p16*p45*p24*p62*p53*xi - p16*p45*p24*p63*p52*xi + p16*p45*p24*p63*p32*bi - p16*p45*p34*p62*p53*li + p16*p45*p34*p62*p23*bi + p16*p45*p34*p63*p52*li + p16*p54*p42*p65*p23*xi - p16*p54*p42*p63*p25*xi + p16*p54*p42*p63*p35*li + p16*p54*p43*p65*p32*li + p16*p54*p43*p62*p25*xi - p16*p54*p43*p62*p35*li - p16*p42*p24*p65*p53*xi - p16*p42*p24*p63*p35*bi + p16*p42*p34*p65*p53*li - p16*p42*p34*p65*p23*bi + p16*p42*p34*p63*p25*bi + p16*p24*p43*p65*p52*xi - p16*p24*p43*p65*p32*bi + p16*p24*p43*p62*p35*bi - p16*p43*p34*p65*p52*li - p16*p43*p34*p62*p25*bi - p45*p54*p12*p26*p63*xi + p45*p54*p12*p63*p36*li + p45*p54*p13*p62*p26*xi - p45*p54*p13*p62*p36*li + p45*p24*p12*p56*p63*xi - p45*p24*p12*p63*p36*bi - p45*p24*p13*p56*p62*xi + p45*p24*p13*p62*p36*bi - p45*p34*p12*p56*p63*li + p45*p34*p12*p26*p63*bi + p45*p34*p13*p56*p62*li - p45*p34*p13*p62*p26*bi + p54*p42*p15*p26*p63*xi - p54*p42*p15*p63*p36*li - p54*p42*p13*p65*p26*xi + p54*p42*p13*p65*p36*li - p54*p15*p43*p62*p26*xi + p54*p15*p43*p62*p36*li + p54*p43*p12*p65*p26*xi - p54*p43*p12*p65*p36*li - p42*p24*p15*p56*p63*xi + p42*p24*p15*p63*p36*bi + p42*p24*p13*p65*p56*xi - p42*p24*p13*p65*p36*bi + p42*p15*p34*p56*p63*li - p42*p15*p34*p26*p63*bi - p42*p34*p13*p65*p56*li + p42*p34*p13*p65*p26*bi + p24*p15*p43*p56*p62*xi - p24*p15*p43*p62*p36*bi - p24*p43*p12*p65*p56*xi + p24*p43*p12*p65*p36*bi - p15*p43*p34*p56*p62*li + p15*p43*p34*p62*p26*bi + p43*p34*p12*p65*p56*li - p43*p34*p12*p65*p26*bi - p44*p66*p55*p22*p33*zi + p46*p64*p55*p22*p33*zi + p66*p22*p33*p45*p54*zi + p66*p55*p33*p42*p24*zi + p66*p55*p22*p43*p34*zi + p44*p22*p33*p65*p56*zi + p44*p55*p33*p62*p26*zi + p44*p55*p22*p63*p36*zi - p46*p22*p33*p54*p65*zi - p64*p22*p33*p45*p56*zi - p46*p55*p33*p24*p62*zi - p64*p55*p33*p42*p26*zi - p46*p55*p22*p34*p63*zi - p64*p55*p22*p43*p36*zi + p44*p66*p33*p52*p25*zi + p44*p66*p22*p53*p35*zi + p44*p66*p55*p23*p32*zi - p66*p33*p45*p24*p52*zi - p66*p33*p54*p42*p25*zi - p66*p22*p45*p34*p53*zi - p66*p22*p54*p43*p35*zi - p66*p55*p42*p34*p23*zi - p66*p55*p24*p43*p32*zi - p44*p33*p65*p26*p52*zi - p44*p33*p56*p62*p25*zi - p44*p22*p65*p36*p53*zi - p44*p22*p56*p63*p35*zi - p44*p55*p62*p36*p23*zi - p44*p55*p26*p63*p32*zi - p46*p64*p33*p52*p25*zi + p46*p33*p54*p62*p25*zi + p46*p33*p24*p65*p52*zi + p64*p33*p45*p26*p52*zi + p64*p33*p42*p56*p25*zi - p33*p45*p54*p62*p26*zi + p33*p45*p24*p56*p62*zi + p33*p54*p42*p65*p26*zi - p33*p42*p24*p65*p56*zi - p46*p64*p22*p53*p35*zi + p46*p22*p54*p63*p35*zi + p46*p22*p34*p65*p53*zi + p64*p22*p45*p36*p53*zi + p64*p22*p43*p56*p35*zi - p22*p45*p54*p63*p36*zi + p22*p45*p34*p56*p63*zi + p22*p54*p43*p65*p36*zi - p22*p43*p34*p65*p56*zi - p46*p64*p55*p23*p32*zi + p46*p55*p24*p63*p32*zi + p46*p55*p34*p62*p23*zi + p64*p55*p42*p36*p23*zi + p64*p55*p43*p26*p32*zi - p55*p42*p24*p63*p36*zi + p55*p42*p34*p26*p63*zi + p55*p24*p43*p62*p36*zi - p55*p43*p34*p62*p26*zi - p44*p66*p52*p35*p23*zi - p44*p66*p25*p53*p32*zi - p66*p45*p54*p23*p32*zi + p66*p45*p24*p53*p32*zi + p66*p45*p34*p52*p23*zi + p66*p54*p42*p35*p23*zi + p66*p54*p43*p25*p32*zi - p66*p42*p24*p53*p35*zi + p66*p42*p34*p25*p53*zi + p66*p24*p43*p52*p35*zi - p66*p43*p34*p52*p25*zi - p44*p65*p56*p23*p32*zi + p44*p65*p26*p53*p32*zi + p44*p65*p36*p52*p23*zi + p44*p56*p62*p35*p23*zi + p44*p56*p63*p25*p32*zi - p44*p62*p26*p53*p35*zi + p44*p62*p36*p25*p53*zi + p44*p26*p63*p52*p35*zi - p44*p63*p36*p52*p25*zi + p46*p64*p52*p35*p23*zi + p46*p64*p25*p53*p32*zi + p46*p54*p65*p23*p32*zi - p46*p54*p62*p35*p23*zi - p46*p54*p63*p25*p32*zi - p46*p24*p65*p53*p32*zi + p46*p24*p62*p53*p35*zi - p46*p24*p63*p52*p35*zi - p46*p34*p65*p52*p23*zi - p46*p34*p62*p25*p53*zi + p46*p34*p63*p52*p25*zi + p64*p45*p56*p23*p32*zi - p64*p45*p26*p53*p32*zi - p64*p45*p36*p52*p23*zi - p64*p42*p56*p35*p23*zi + p64*p42*p26*p53*p35*zi - p64*p42*p36*p25*p53*zi - p64*p43*p56*p25*p32*zi - p64*p43*p26*p52*p35*zi + p64*p43*p36*p52*p25*zi + p45*p54*p62*p36*p23*zi + p45*p54*p26*p63*p32*zi - p45*p24*p56*p63*p32*zi - p45*p24*p62*p36*p53*zi + p45*p24*p63*p36*p52*zi - p45*p34*p56*p62*p23*zi + p45*p34*p62*p26*p53*zi - p45*p34*p26*p63*p52*zi - p54*p42*p65*p36*p23*zi - p54*p42*p26*p63*p35*zi + p54*p42*p63*p36*p25*zi - p54*p43*p65*p26*p32*zi + p54*p43*p62*p26*p35*zi - p54*p43*p62*p36*p25*zi + p42*p24*p65*p36*p53*zi + p42*p24*p56*p63*p35*zi + p42*p34*p65*p56*p23*zi - p42*p34*p65*p26*p53*zi - p42*p34*p56*p63*p25*zi + p24*p43*p65*p56*p32*zi - p24*p43*p65*p36*p52*zi - p24*p43*p56*p62*p35*zi + p43*p34*p65*p26*p52*zi + p43*p34*p56*p62*p25*zi)/(p44 + p11 + p66 + p55 + p22 + p33 - p44*p11 - p44*p66 - p11*p66 + p41*p14 - p44*p55 - p44*p22 - p11*p55 - p44*p33 - p11*p22 - p11*p33 + p46*p64 - p66*p55 - p66*p22 - p66*p33 + p61*p16 - p55*p22 - p55*p33 - p22*p33 + p45*p54 + p42*p24 + p51*p15 + p43*p34 + p21*p12 + p31*p13 + p65*p56 + p62*p26 + p63*p36 + p52*p25 + p53*p35 + p23*p32 + p44*p11*p66 + p44*p11*p55 + p44*p11*p22 - p66*p41*p14 + p44*p11*p33 + p44*p66*p55 + p44*p66*p22 - p11*p46*p64 + p11*p66*p55 + p44*p66*p33 + p11*p66*p22 - p44*p61*p16 + p11*p66*p33 - p41*p14*p55 - p41*p14*p22 + p41*p64*p16 + p14*p46*p61 - p41*p14*p33 + p44*p55*p22 + p44*p55*p33 + p11*p55*p22 + p44*p22*p33 + p11*p55*p33 + p11*p22*p33 - p46*p64*p55 - p46*p64*p22 + p66*p55*p22 - p46*p64*p33 + p66*p55*p33 + p66*p22*p33 - p61*p16*p55 - p61*p16*p22 - p61*p16*p33 - p11*p45*p54 - p44*p51*p15 - p11*p42*p24 - p44*p21*p12 - p11*p43*p34 - p44*p31*p13 - p66*p45*p54 - p66*p42*p24 + p41*p54*p15 + p14*p45*p51 + p55*p22*p33 - p66*p51*p15 + p41*p24*p12 + p14*p42*p21 - p66*p43*p34 - p66*p21*p12 + p41*p34*p13 + p14*p43*p31 - p66*p31*p13 - p44*p65*p56 - p11*p65*p56 - p44*p62*p26 - p11*p62*p26 - p44*p63*p36 - p11*p63*p36 - p22*p45*p54 + p46*p54*p65 + p64*p45*p56 - p55*p42*p24 - p33*p45*p54 + p46*p24*p62 + p64*p42*p26 - p33*p42*p24 - p55*p43*p34 - p22*p51*p15 + p61*p15*p56 + p16*p51*p65 - p22*p43*p34 + p46*p34*p63 + p64*p43*p36 - p55*p21*p12 - p33*p51*p15 + p61*p12*p26 + p16*p21*p62 - p33*p21*p12 - p55*p31*p13 - p22*p31*p13 + p61*p13*p36 + p16*p31*p63 - p22*p65*p56 - p55*p62*p26 - p33*p65*p56 - p33*p62*p26 - p55*p63*p36 - p22*p63*p36 - p44*p52*p25 - p11*p52*p25 - p44*p53*p35 - p11*p53*p35 - p44*p23*p32 - p11*p23*p32 + p45*p24*p52 + p54*p42*p25 - p66*p52*p25 + p45*p34*p53 + p54*p43*p35 + p51*p12*p25 + p15*p21*p52 - p66*p53*p35 + p42*p34*p23 + p24*p43*p32 - p66*p23*p32 + p51*p13*p35 + p15*p31*p53 + p21*p13*p32 + p12*p31*p23 + p65*p26*p52 + p56*p62*p25 - p33*p52*p25 - p22*p53*p35 + p65*p36*p53 + p56*p63*p35 - p55*p23*p32 + p62*p36*p23 + p26*p63*p32 + p52*p35*p23 + p25*p53*p32 - p44*p11*p66*p55 - p44*p11*p66*p22 - p44*p11*p66*p33 - p44*p11*p55*p22 + p66*p41*p14*p55 - p44*p11*p55*p33 + p66*p41*p14*p22 - p44*p11*p22*p33 + p66*p41*p14*p33 - p44*p66*p55*p22 + p11*p46*p64*p55 - p44*p66*p55*p33 + p11*p46*p64*p22 - p11*p66*p55*p22 - p44*p66*p22*p33 + p44*p61*p16*p55 + p11*p46*p64*p33 - p11*p66*p55*p33 + p44*p61*p16*p22 - p11*p66*p22*p33 + p44*p61*p16*p33 + p41*p14*p55*p22 - p41*p64*p16*p55 - p14*p46*p61*p55 + p41*p14*p55*p33 - p41*p64*p16*p22 - p14*p46*p61*p22 + p41*p14*p22*p33 - p41*p64*p16*p33 - p14*p46*p61*p33 + p11*p66*p45*p54 - p44*p55*p22*p33 + p44*p66*p51*p15 + p11*p66*p42*p24 - p11*p55*p22*p33 + p44*p66*p21*p12 + p11*p66*p43*p34 + p44*p66*p31*p13 + p46*p64*p55*p22 + p44*p11*p65*p56 + p46*p64*p55*p33 - p66*p41*p54*p15 - p66*p14*p45*p51 + p46*p64*p22*p33 - p66*p55*p22*p33 + p44*p11*p62*p26 - p66*p41*p24*p12 - p66*p14*p42*p21 + p61*p16*p55*p22 + p61*p16*p55*p33 + p44*p11*p63*p36 - p66*p41*p34*p13 - p66*p14*p43*p31 + p61*p16*p22*p33 + p11*p22*p45*p54 - p11*p46*p54*p65 - p11*p64*p45*p56 + p11*p55*p42*p24 + p11*p33*p45*p54 + p44*p22*p51*p15 - p44*p61*p15*p56 - p44*p16*p51*p65 - p11*p46*p24*p62 - p11*p64*p42*p26 + p44*p55*p21*p12 + p44*p33*p51*p15 + p11*p33*p42*p24 + p11*p55*p43*p34 - p44*p61*p12*p26 - p44*p16*p21*p62 + p11*p22*p43*p34 - p11*p46*p34*p63 - p11*p64*p43*p36 + p44*p33*p21*p12 + p44*p55*p31*p13 + p44*p22*p31*p13 - p44*p61*p13*p36 - p44*p16*p31*p63 + p66*p22*p45*p54 + p66*p55*p42*p24 + p66*p33*p45*p54 - p41*p22*p54*p15 - p14*p22*p45*p51 - p41*p14*p65*p56 + p41*p64*p15*p56 + p41*p16*p54*p65 + p14*p46*p51*p65 + p14*p61*p45*p56 - p46*p64*p51*p15 + p46*p61*p54*p15 + p64*p16*p45*p51 - p61*p16*p45*p54 + p66*p33*p42*p24 - p41*p55*p24*p12 - p14*p55*p42*p21 + p66*p55*p43*p34 - p41*p33*p54*p15 - p14*p33*p45*p51 + p66*p22*p51*p15 + p66*p22*p43*p34 - p41*p14*p62*p26 + p41*p64*p12*p26 + p41*p16*p24*p62 + p14*p46*p21*p62 + p14*p61*p42*p26 - p46*p64*p21*p12 + p46*p61*p24*p12 + p64*p16*p42*p21 - p61*p16*p42*p24 + p66*p55*p21*p12 + p66*p33*p51*p15 - p41*p33*p24*p12 - p14*p33*p42*p21 - p41*p55*p34*p13 - p14*p55*p43*p31 - p41*p22*p34*p13 - p14*p22*p43*p31 + p66*p33*p21*p12 - p41*p14*p63*p36 + p41*p64*p13*p36 + p41*p16*p34*p63 + p14*p46*p31*p63 + p14*p61*p43*p36 - p46*p64*p31*p13 + p46*p61*p34*p13 + p64*p16*p43*p31 - p61*p16*p43*p34 + p66*p55*p31*p13 + p66*p22*p31*p13 + p44*p22*p65*p56 + p44*p55*p62*p26 + p44*p33*p65*p56 + p11*p22*p65*p56 + p11*p55*p62*p26 + p11*p33*p65*p56 + p44*p33*p62*p26 + p44*p55*p63*p36 + p44*p22*p63*p36 + p11*p33*p62*p26 + p11*p55*p63*p36 + p11*p22*p63*p36 - p46*p22*p54*p65 - p64*p22*p45*p56 + p22*p33*p45*p54 - p46*p55*p24*p62 - p64*p55*p42*p26 - p46*p33*p54*p65 - p64*p33*p45*p56 + p44*p11*p52*p25 + p55*p33*p42*p24 + p55*p22*p43*p34 - p46*p33*p24*p62 - p64*p33*p42*p26 - p46*p55*p34*p63 - p64*p55*p43*p36 - p61*p22*p15*p56 - p16*p22*p51*p65 + p44*p11*p53*p35 - p46*p22*p34*p63 - p64*p22*p43*p36 + p22*p33*p51*p15 - p61*p55*p12*p26 - p16*p55*p21*p62 - p61*p33*p15*p56 - p16*p33*p51*p65 + p55*p33*p21*p12 + p44*p11*p23*p32 + p55*p22*p31*p13 - p61*p33*p12*p26 - p16*p33*p21*p62 - p61*p55*p13*p36 - p16*p55*p31*p63 - p61*p22*p13*p36 - p16*p22*p31*p63 + p44*p66*p52*p25 - p11*p45*p24*p52 - p11*p54*p42*p25 + p11*p66*p52*p25 - p44*p51*p12*p25 - p44*p15*p21*p52 + p44*p66*p53*p35 - p11*p45*p34*p53 - p11*p54*p43*p35 + p11*p66*p53*p35 + p44*p66*p23*p32 - p44*p51*p13*p35 - p44*p15*p31*p53 - p11*p42*p34*p23 - p11*p24*p43*p32 + p11*p66*p23*p32 - p44*p21*p13*p32 - p44*p12*p31*p23 - p66*p45*p24*p52 - p66*p54*p42*p25 - p41*p14*p52*p25 + p41*p54*p12*p25 + p41*p24*p15*p52 + p14*p45*p21*p52 + p14*p42*p51*p25 - p45*p54*p21*p12 + p45*p24*p51*p12 + p54*p42*p15*p21 - p42*p24*p51*p15 - p66*p45*p34*p53 - p66*p54*p43*p35 + p22*p33*p65*p56 + p55*p33*p62*p26 - p66*p51*p12*p25 - p66*p15*p21*p52 - p66*p42*p34*p23 - p66*p24*p43*p32 - p41*p14*p53*p35 + p41*p54*p13*p35 + p41*p15*p34*p53 + p14*p45*p31*p53 + p14*p51*p43*p35 - p45*p54*p31*p13 + p45*p51*p34*p13 + p54*p15*p43*p31 - p51*p15*p43*p34 + p55*p22*p63*p36 - p66*p51*p13*p35 - p66*p15*p31*p53 - p41*p14*p23*p32 + p41*p24*p13*p32 + p41*p34*p12*p23 + p14*p42*p31*p23 + p14*p43*p21*p32 - p42*p24*p31*p13 + p42*p34*p21*p13 + p24*p43*p12*p31 - p43*p34*p21*p12 - p66*p21*p13*p32 - p66*p12*p31*p23 - p44*p65*p26*p52 - p44*p56*p62*p25 + p44*p33*p52*p25 - p11*p65*p26*p52 - p11*p56*p62*p25 + p44*p22*p53*p35 - p44*p65*p36*p53 - p44*p56*p63*p35 + p11*p33*p52*p25 + p44*p55*p23*p32 + p11*p22*p53*p35 - p11*p65*p36*p53 - p11*p56*p63*p35 - p44*p62*p36*p23 - p44*p26*p63*p32 + p11*p55*p23*p32 - p11*p62*p36*p23 - p11*p26*p63*p32 - p46*p64*p52*p25 + p46*p54*p62*p25 + p46*p24*p65*p52 + p64*p45*p26*p52 + p64*p42*p56*p25 - p45*p54*p62*p26 + p45*p24*p56*p62 + p54*p42*p65*p26 - p42*p24*p65*p56 - p33*p45*p24*p52 - p33*p54*p42*p25 - p22*p45*p34*p53 - p22*p54*p43*p35 + p66*p33*p52*p25 - p46*p64*p53*p35 + p46*p54*p63*p35 + p46*p34*p65*p53 + p64*p45*p36*p53 + p64*p43*p56*p35 - p45*p54*p63*p36 + p45*p34*p56*p63 + p54*p43*p65*p36 - p43*p34*p65*p56 - p55*p42*p34*p23 - p55*p24*p43*p32 + p66*p22*p53*p35 - p61*p16*p52*p25 + p61*p15*p26*p52 + p61*p12*p56*p25 + p16*p51*p62*p25 + p16*p21*p65*p52 - p51*p15*p62*p26 + p51*p12*p65*p26 + p15*p21*p56*p62 - p21*p12*p65*p56 - p46*p64*p23*p32 + p46*p24*p63*p32 + p46*p34*p62*p23 + p64*p42*p36*p23 + p64*p43*p26*p32 - p42*p24*p63*p36 + p42*p34*p26*p63 + p24*p43*p62*p36 - p43*p34*p62*p26 + p66*p55*p23*p32 - p33*p51*p12*p25 - p33*p15*p21*p52 - p22*p51*p13*p35 - p22*p15*p31*p53 - p61*p16*p53*p35 + p61*p15*p36*p53 + p61*p13*p56*p35 + p16*p51*p63*p35 + p16*p31*p65*p53 - p51*p15*p63*p36 + ...

[jpfeifer]

I see. I don't think there is really a way to get around this.

[francis]

That's what I feared. Many thanks anyway!

Best,
Francis