Coloring points inside the Mandelbrot set

[therror]

Combination is much better

Code:

    x2y2=x*x+y*y;
    if (x2y2<modmin&&dzp*dzp+dzq*dzq<1)
    {
      modmin=x2y2;
      dzpmin=dzp;
      dzqmin=dzq;
    }

[claude]

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[therror]

Hi! I am trying to implement angle and interior distance estimation for z^n+c. The result is correct for case n=2, but at higher (positive and negative) powers both angle and distance much more than must be. (Maybe you saw it in my animations).  I think maybe second derivatives are incorrect or main formula for DE, because exterior DE is correct at any power. Help me,  please. What formulae for general case z^n+c?