Sorry...sent it before I finished trying to reproduce it here. I get the
same thing as you. Not sure what was different yesterday.
>>> from sympy import *
>>> from sympy.abc import *
>>> from sympy import *
>>> p1, p2 = [(x - 5)**2 + (y - 5)**2 - 4, -(-x + 5)*(-x - 2*2**(1/S(2))
+ 5) -
(-y + 5)*(-y + 5)]
>>> for p in [pp.as_poly(x,y,extension=True) for pp in [p1, p2]]:
... print p.domain
...
ZZ
QQ<2**(1/2)>
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