  We study the local symplectic algebra of curves with semigroups $(4,5,6,7)$,
$(4,5,6)$ and $(4,5,7)$. We use the method of algebraic restrictions to
parameterized curves as in \cite{D1}. A new discrete invariant for algebraic
restrictions to parameterized quasi-homogeneous curves is introduced. This
invariant together with the method of algebraic restriction can distinguish
different symplectic orbits of quasi-homogeneous curves.
