On my previous playthroughs I have essentially 'skipped' this puzzle by using 100 omni-gel; on this playthrough however I do not have 100 omni-gel so I need to solve the puzzle.
The on screen prompt simply states that I need to manually reconfigure the data banks and must transfer the module stack from Core 1 to Core 2 or 3. It appears that I can only move a single part of each stack at once, and that precedence is given to modules higher up the stack.
How can I transfer the module stack from Core 1 to one of the other cores, in order to restart the VI on Noveria?