See web page Central symmetry in the Mandelbrot set by M. Romera and J. Negrillo

Here are setting for MSExplorer for these images:

For P1:
1. algorithm : DEM/M and color type = monochrome
2. Maximal number of iteration: 1000
3. Escape Radius = 10 000
4. Maximal Distance = pixel_size = 4,67445742904841E-10 ( denominator =1 )
The cardioid of small copy of Mset in the center of image has period 53 ( one can check it in panel 5 of status bar of main window).

For color type = True color ( pf32bit = 16 mln of colors ):

see also The Mandelbrot by Paul Bourke ---------------------------------- Magnification: 2.6912175E10 (15 decimals) Location: -0.551849815109315980535 + -0.6280477704657642149i
Please change decimal point from "." to ","
-------------------------------------------------------------