  We reexamine the quark-lepton complementarity (QLC) in nine angle-phase
parametrizations with the latest result of a large lepton mixing angle
$\vartheta_{13}$ from the T2K, MINOS and Double Chooz experiments. We find that
there are still two QLC relations satisfied in P1, P4 and P6 parametrizations,
whereas only one QLC relation holds in P2, P3, P5 and P9 parametrizations
separately. We also work out the corresponding reparametrization-invariant
forms of the QLC relations and check the resulting expressions with the
experimental data. The results can be viewed as a check of the validity of the
QLC relations, as well as a new perspective into the issue of seeking for the
connection between quarks and leptons.
