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May 31, 2012 at 16:51 comment added Will Jagy Thanks again, David. I think I am getting somewhere. If the rank of $P \pmod r$ is $w,$ then i get that $ [ L : L \cap M] = r^{n-w}$ as long as $r$ is prime, anyway.
May 31, 2012 at 12:07 history answered David E Speyer CC BY-SA 3.0