  In the framework of an equation of state (EoS) constructed from a momentum
and density-dependent finite-range two-body effective interaction, the
quantitative magnitudes of the different symmetry elements of infinite nuclear
matter are explored. The parameters of this interaction are determined from
well-accepted characteristic constants associated with homogeneous nuclear
matter. The symmetry energy coefficient $a_2$, its density slope $L_0$, the
symmetry incompressibility $K_\delta $ as well as the density dependent
incompressibility $K(\rho )$ evaluated with this EoS are seen to be in good
harmony with those obtained from other diverse perspectives. The higher order
symmetry energy coefficients $a_4,~a_6$ etc are seen to be not very significant
in the domain of densities relevant to finite nuclei, but gradually build up at
supra-normal densities. The analysis carried with a Skyrme-inspired energy
density functional obtained with the same input values for the empirical bulk
data associated with nuclear matter yields nearly the same results.
