Dimension conjecture for co-landing loci of finite dynamical laminations

Let an FDL be a finite dynamical lamination for degree $d$ polynomials, and let its free criticality be the number of critical polygons, counted with multiplicity, that fit outside the polygons of the FDL. The Dimension conjecture. The complex dimension of the co-landing locus in the set of affine conjugacy classes of degree $d$ polynomials is equal to the free criticality of the FDL. This predicts that the remaining free criticality precisely measures the dimension of the corresponding parameter locus; the source gives no resolution.