Serhiy Storchaka added the comment:

I totally concur with Tim.

Your script test all hash codes in range(1<<p), without duplications, but in 
real world low bits of the hashes often are equal (see the Birthdays problem). 
The perturbation allows high bits to play.

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Python tracker <rep...@bugs.python.org>
<http://bugs.python.org/issue30671>
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