[Python] Why can't Python import Image from PIL?

The single line that I am trying to run is the following:

from PIL import Image


However simple this may seem, it gives an error:

Traceback (most recent call last):
File "C:\...\2014-10-22_12-49.py", line 1, in <module>
from PIL import Image
File "C:\pyzo2014a\lib\site-packages\PIL\Image.py", line 29, in <module>
from PIL import VERSION, PILLOW_VERSION, _plugins
ImportError: cannot import name 'VERSION'


In case that's helpful, I installed pillow from https://pypi.python.org/pypi/Pillow/2.6.1 (file Pillow-2.6.1.win-amd64-py3.4.exe) before running this (before that there was already som PIL install, which I uninstalled). The script is run in Pyzo with Python version 3.4.1.

What is going wrong, how can I import Image?

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