How to do surface plot (with rich colormap) in Manim

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How can I make a surface plot animation like this one:

enter image description here

The 3d plot is viewed from the top. I made that using GNU Octave.

How to do it in Manim? I only know it can make surface plot using checker board colormap. How to do it so the result will be similar as Matlab/Octave? With rich colormap. For example this colormap: enter image description here

My plan is to do the computation in Octave, and then use the numerical result to make animation in Manim.

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