The plot legend shows Abs[f[z]]
in grayscale and Arg[f[z]]
in hue colors. This depends on the ColorFunction
. The tick value (12
or 7.2
) indicates where White
starts. The cutoff is probably chosen by ComplexPlot
so that (1) no more than a small fraction of the plot is white and (2) the rest of the plot has a large "dynamic range" of color intensities.
You can get both an upper and a lower tick, showing the cutoffs for white and dark gray, respectively. Example from the documentation for ComplexPlot
, option ColorFunction
, with PlotLegends
added:
ComplexPlot[(z^2 + 1)/(z^2 - 1), {z, -2 - 2 I, 2 + 2 I},
ColorFunction -> "QuantileAbs", PlotLegends -> Automatic]