The Julia set for a given complex number \(c\) is a set of points related to the Mandelbrot function. Instead of fixing \(z\) and varying \(c\), we fix \(c\) and vary \(z\). Those points \(z\) for which the modified Mandelbrot function stays bounded are in the Julia set; those for which the sequence diverges to infinity are not in the set. All points \(z\) of interest lie in the 4 -by- 4 box centered at the origin. The Julia set for \(c\) is connected if and only if \(c\) is in the Mandelbrot set! Write a program ColorJulia that takes two command-line arguments \(a\) and \(b\), and plots a color version of the Julia set for \(c=a+b i\), using the color-table method described in the previous exercise.