  We present the results of a search for the magnetic field inhomogeneity for
the red giant $\epsilon$ Tau. This research is based on observations obtained
over 10 nights in 2008-2010 with the ESPaDOnS CFHT spectropolarimeter. We found
a previously undescribed instrumental effect in the ESPaDOnS spectra,
consisting of random polarization outliers. Therefore, to measure the magnetic
field from the unblended individual lines, we preliminarily cleared the initial
array of spectral lines from the lines distorted by polarization outliers. On
only one date from ten, the magnetic field of $\epsilon$ Tau was found to
exceed 3$\sigma$. We also revealed that during two nights the time series of
the magnetic field values shows a distribution that is different from the
normal distribution. A hypothesis was put forward that this may be due to the
inhomogeneity of the magnetic field of this star.
