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Judging by the pictures it looks like the divergent bailout is used (the same bailout method as the standard Mandelbrot set), the picture with M4 (z^4) Mandelbrots was produced using convergent bailout.

Here are some more pictures using the divergent bailout and several colouring methods.





Changing the method to "absolute log of standard deviation of angle, scale = 1000".



Changing the method to "absolute log of exponential sum of ratio, smaller(real(z), imag(z)) divided by larger(real(z), imag(z)), scale = 100".



The patterns in these fractals are dependent on the bailout value used, the next three pictures show the effect of increasing the bailout value. Values used are 16, 32 and 64.







The final version uses a different method of selecting between inner and outer colouring methods. Titan's summary tab has a bug where "Colour selection" is shown as "unknown" so here is the colour tab from Saturn:





Adding transforms to this fractal produces some familiar features:

True. XaoS uses the standard Mandelbrot settings as default. I only added a minus sign as Tglad suggested and played around with the number of iterations and bailouts. Download XaoS for free and try for yourself. The program is pretty limited but has some cool features I did not find in other fractal software (real time zooming and color cycling).

This evening I'll try to create a video to show increasing bailout condition on the negative mandelbrot.

Using Lyapunov exponents for colouring negative multibrots seems to work well, even able to get "atom domains" similar to the regular Mandelbrot set by seeing when the derivative (as opposed to the iterate itself) gets really small (Fragmentarium source attached, each atom domain accumulated with cumulative additive blending, final Lyapunov exponent is used to colour the minibrots black):

That's cool!
Thank you claude for the fragmentarium script.