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Oct 8 at 15:15 comment added Kimball PS I didn't try to order the list in my answer by importance.
Oct 8 at 15:14 comment added Kimball At least for me, it's also useful that for squarefree level (+ trivial character), the local level tells you the local representation type, so you don't have to do any work to separate out ramified p.s. vs special vs supercuspidal.
Oct 8 at 3:15 history answered paul garrett CC BY-SA 4.0