M must be a matrix from the ambient space of the ConeC to some target space. The imageFan is the common refinement of the images of all faces of C.
i1 : C = posHull matrix {{2,1,-1,-3},{1,1,1,1},{0,1,-1,0}}
o1 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of the cone => 3
number of facets => 4
number of rays => 4
o1 : Cone