  Test of the no-hair theorem is the primary target with gravitational waves
from binary black holes. In this Letter, we analyze gravitational-wave data
from the LIGO-Virgo-KAGRA detection of binary black-hole mergers using the
PSI_FD model, which is a non-general relativity full waveform template for
arbitrary axisymmetric black holes. By analyzing two high signal-noise-ratio
events, GW150914 and GW200129, the no-hair theorem is tested at a significance
level of 95%, which is the best constraint until now. Especially, we find a
significant deviation from the Kerr black hole in GW200129. More events and
further analysis are needed to validate this deviation.
