Comment #2 on issue 2329 by asmeurer: Should Poly use an algebraic domain by default?
http://code.google.com/p/sympy/issues/detail?id=2329

Oops! It's been too long since I've worked in algebra I guess. But shouldn't ZZ[I] raise an exception?

How much slower are the algebraic domains? Are there plans to make them faster? To me, they are better because you are guaranteed that everything will be simplified to 0 when it can be (there is no such guarantee in EX, and hence it can lead to wrong results when not used carefully).

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