I know this place is not appropriate for the usage of Bertini, but I can not find someone around me to ask this question， please forgive me for my offense. Right now, I already use Bertini to solve a system of polynomial equations. Bertini gives me dimension and degree of each irreducible components of solution. But, I want to get the detailed information about witness set of each component which includes the defining polynomial equations of each component, intersection point with generic plane and this generic plane.
I know this place is not appropriate for the usage of Bertini, but I can not find someone around me to ask this question， please forgive me for my offense. Right now, I already use Bertini to solve a system of polynomial equations. Bertini gives me dimension and degree of each irreducible components of solution. But, I want to get the detailed information about witness set of each component which includes the defining polynomial equations of each component, intersection point with generic plane and this generic plane.