Comment #12 on issue 4096 by [email protected]: Poly.coeff works only after .simply().expand()
http://code.google.com/p/sympy/issues/detail?id=4096

For anyone reading this in the future:

I ended up skirting the need to expand (or use Poly) to successfully run coeff by just using subs to (carefully) insert 1.0 and 0.0 into all the relevant locations. The code now runs in a few **seconds**, rather than taking a couple **hours** for the worst cases. This workaround may not work in vastly different use cases, though it might be possible to concoct something inserting.

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