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Nov 14, 2009 at 9:08 comment added Kevin Buzzard I would imagine the hard part with this approach would be to get the conductor prime. Another idea would be to write down lots of A_5 extensions of Q and consider the mod 2 Galois reps and go from there, but again you're not in general going to be able to find an A_5 extension ramified only at 2 and a given large prime p.
Nov 13, 2009 at 16:47 history answered David Zureick-Brown CC BY-SA 2.5