0:43 seconds out was when the Djinn finally popped, so I took the screenshot a bit out from the end.
Hopefully the leaderboards will update for my final (pretty unspectacular, since the Archon spawned in the very SW corner as it is wont to do) score within the next day or so.
I'm certain, based on 9000 crude talismans of failed attempts, that the Djinn will never appear unless you have EDIT: a ton of shards sitting in the bank (slash a high score, which are the same thing here). I think it's >2000 shards.