What are the 10 Samadhis of the Avatamsaka Sutra?
My take on these kinds of lists in Mahāyāna sūtras, especially late ones like the Avatamsaka, is that they are literary devices. The Avatamsaka is a particularly literary text. It's mainly a work of imagination, a kind of elaborate, surrealist Buddhist novel.

The link appears to be to a summary rather than a translation. There's a ( illegal) copy of Leary's translation from the Chinese online here. (Chapter 27, page 811-862). A quick skim suggests that it may not give you the kind of information you are interested in.