<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def getLookupTable(self, img=None, n=None, alpha=None):
 """Return a lookup table from the color gradient defined by this HistogramLUTItem. """

        if n is None:
            if img.dtype == np.uint8:
                n = 256
            else:
                n = 512
        if self.lut is None:
            self.lut = self.gradient.getLookupTable(n, alpha=alpha)
        return self.lut