  We examine the effects of the isovector-vector coupling and
hypercharge-vector coupling in quark matter on hadron-quark coexistence in
neutron-star matter. The relativistic mean field theory with the TM1 parameter
set and an extended TM1 parameter set are used to describe hadronic matter, and
the Nambu-Jona-Lasinio model with scalar, isoscalar-vector, isovector-vector
and hypercharge-vector couplings is used to describe deconfined quark matter.
The hadron-quark phase transition is constructed via the Gibbs conditions for
phase equilibrium. The isovector-vector and hypercharge-vector couplings in
quark matter enhance the symmetry energy and hypercharge symmetry energy in
neutron-star matter, while their effects are found to be suppressed at high
densities by the strange quarks. As a result, the hadron-quark mixed phase
shrinks with only isovector-vector coupling and moves to higher density with
isovector-vector and hypercharge-vector couplings. The maximum mass of
neutron-star increases slightly with isovector-vector and hypercharge-vector
couplings.
