Comment #2 on issue 1946 by asmeurer: Recursion error with SYMPY_GROUND_TYPES=sympy (caching problem)
http://code.google.com/p/sympy/issues/detail?id=1946

I don't think so.  Add this print statement and run the test:

diff --git a/sympy/polys/galoistools.py b/sympy/polys/galoistools.py
index c017181..13dc8bd 100644
--- a/sympy/polys/galoistools.py
+++ b/sympy/polys/galoistools.py
@@ -479,6 +479,7 @@ def gf_mul(f, g, p, K):
         coeff = K.zero

         for j in xrange(max(0, i-dg), min(i, df)+1):
+            print type(coeff.p), type((f[j]*g[i-j]).p)
             coeff += f[j]*g[i-j]

         h[i] = coeff % p

The last line before the error is "<type 'long'> <type 'long'>". Based on the traceback, the "other = _sympy(other)" line in Rational.__eq__() is responsible for converting it to an Integer. Or did you see it
somewhere else?

Anyway, I still get the error in your Singleton-class branch, with a slightly different traceback.

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