Comment #1 on issue 1600 by asmeurer: abs(im(-(-2)**(S(1)/3))) fails (but  
only once)
http://code.google.com/p/sympy/issues/detail?id=1600

I bisected and narrowed it down to this commit.  Not sure what in there is  
causing the problem:

commit adc894ab32ec250abaa3fbe8f9821aa87a9dbd92
Author: Mateusz Paprocki <[email protected]>
Date:   Sun Mar 1 04:43:46 2009 +0100

     Fixed Pow._eval_is_real for sqrt(-1 - sqrt(2)) case

diff --git a/sympy/core/power.py b/sympy/core/power.py
index 580b7cb..49330e1 100644
--- a/sympy/core/power.py
+++ b/sympy/core/power.py
@@ -177,10 +177,12 @@ def _eval_is_real(self):
          if c1 and c2:
              if self.base.is_positive:
                  return True
-
              else:   # negative or zero (or positive)
                  if self.exp.is_integer:
                      return True
+                elif self.base.is_negative:
+                    if self.exp.is_Rational:
+                        return False

      def _eval_is_odd(self):
          if not (self.base.is_integer and self.exp.is_nonnegative): return
@@ -654,3 +656,4 @@ def _sage_(self):
  import numbers as _
  _.Pow =     Pow
  del _
+
diff --git a/sympy/core/tests/test_arit.py b/sympy/core/tests/test_arit.py
index 9e9f3d9..bbc86f6 100644
--- a/sympy/core/tests/test_arit.py
+++ b/sympy/core/tests/test_arit.py
@@ -799,8 +799,10 @@ def test_Pow_is_real():
      assert (x**x).is_real   == None
      assert (y**x).is_real   == True

-    assert (x**Rational(1,3)).is_real   == None
-    assert (y**Rational(1,3)).is_real   == True
+    assert (x**Rational(1,3)).is_real  == None
+    assert (y**Rational(1,3)).is_real  == True
+
+    assert sqrt(-1 - sqrt(2)).is_real == False

  @XFAIL
  def test_Pow_is_bounded():


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