Help locating mini mandelbrots I would like to be able to list the coordinates of all the first level minibrots.
Here is a picture of the mandelbrot set generated by fraqtive:
 
zooming in to the circled area we see a slightly distorted copy of the original fractal

the julia set associated to the point right in the middle of the main cardoid looks like this 

roughly the coordinates are -0.1564 + i(-1.0320)

The idea to find minibrots is based on this:
The julia set associated to the center of the main cardioid of the mandelbrot set is a circle, so I assume the julia sets associated to the main cardioid of a minibrot will be a julia set built of circles (like pictured): This needs proof but it seems like it would be too difficult so I am happy to leave this unproved for now (but I would like to prove it eventually).

if I can just find a way to recognize which julia sets are built out of circles I should be able to list the minibrots. How can I do that?

a second question which might be more easy is

I have approximate coordinates for this circular julia set, is there any way to use the z^2+c formula to find that point exactly?


This is an answer to the question in your very first sentence.
See for instance this paper:

McMullen, Curtis T., 
  The Mandelbrot set is universal. In The Mandelbrot set, theme and variations, 1–17, 
  London Math. Soc. Lecture Note Ser., 274, Cambridge Univ. Press, 2000.
  MR1765082 (2002f:37081)
PDF available at the author's site.

See also The significance of the Mandelbrot set.
