  Under the coronal magnetic field, we estimate the maximal jet power of the
Blandford-\Znajek (BZ) mechanism, Blandford-\Payne (BP) mechanism, and hybrid
model. The jet power of the BZ and Hybrid model mechanisms depends on the spin
of a black hole, while the jet power of the BP mechanism does not depend on the
spin of a black hole. At high black hole spin, the jet power of the hybrid
model is greater than that of the BZ and BP mechanisms. We find that the jet
power of almost all gamma-\ray narrow line Seyfert 1 galaxies (gamma-\NLS1s)
can be explained by the hybrid model. However, one source with jet power 0.1~\1
Eddington luminosity can not be explained by the hybrid model. We suggest that
the magnetic field dragged inward by the accretion disk with
magnetization-\driven outflows may accelerate the jets in this gamma-\NLS1.
