  We generate three families of extended covariant density functionals of
nuclear matter that have varying slope of symmetry energy and skewness at
nuclear saturation density, but otherwise share the same basic parameters
(symmetry energy, compressibility, saturation parameters, etc.) with the
standard DDME2, DD2, and MPE functionals. Tables of the parameters of these new
density functionals are given, which can be straightforwardly used in DDME2,
DD2, and MPE parameterization-based codes. Furthermore, we provide tables of a
large number of equations of state (81 for each family) that can be used in
astrophysical simulations to assess the impact of variations of not-well-known
slope of symmetry energy and skewness of nuclear systems on the astrophysics of
compact objects. We also provide tables of computed integral parameters (mass,
radius, and tidal deformability) that can be used, e.g., for modeling
gravitational waveforms. Finally, for the extended DDME2-based
parameterization, we implement a first-order phase transition to quark matter
to obtain a family of equations of state that accommodates a phase transition
to quark matter. Analogous tables of the equations of state and integral
parameters are provided for this case as well.
