  The paper studies the complex 1-dimensional polynomial vector fields with
real coefficients under topological orbital equivalence preserving the
separatrices of the pole at infinity. The number of generic strata is
determined, and a complete parametrization of these strata is given in terms of
a modulus formed by a combinatorial and an analytic part. The bifurcation
diagram is described for the degree 4. A realization theorem is proved for any
generic modulus.
