One of the eigenvalues is close to 0/0

See previous topic for similar problem:
[0/0 eigenvalue problem)

In your case:

[quote]model_diagnostic: the Jacobian of the static model is singular
there is 1 colinear relationships between the variables and the equations
Colinear variables:
pi
Colinear equations
5 6 7 8[/quote]

Focus on equations containing this variable, there might be some problems with your parameters value.