No the L2 only shows the mm's with their bids and asks as I'm sure you know. there is no way to tell exactly which mm handled any given transaction by looking at the L2. You can tell however which mm seems to be wanting to accumulate or sell based on their position. For instance, it was NITE that came in late today with 16 million shares to sell at 7 and stayed there till close. Don't know if this answers your question or not.
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