Hi, Jim. This is pretty close to the image you had, using my color map (which you are welcome to - I call it rainbow-sunset) and a setting of 10,000 iterations:

I could not edit the image from your site directly in Fractint, since it showed up as a plasma, so, I estimated and I think I got pretty close. Here is the same image at 52,000 iterations:

You can see that the detail has filled in quite nicely, and you can see what you were missing in your original image. You will notice that the detail is still not perfect, especially very close to the body (interior) of the set. Here is the same image at 52,000,000 iterations:

Now, you can see fairly close to perfect detail at this level of zoom.