Here are some images captured during testing of the program. The three last digits in the name  indicates the number of magnification steps from the start-up image. Each step corresponds to a doubling of the magnification. Thus image-023.gif is calculated with a magnification of 2^23. The program uses floating point arithmetic up to magnification 2^46, after that arbitrary precision integer math is used.

The magnification limit is somewhere around 2^15000,  I have tested with 2^5000.