Status: New
Owner: ----
Labels: Type-Defect Priority-Medium

New issue 2416 by [email protected]: Exponential function exp(I*k**2*pi) simplifies to -1
http://code.google.com/p/sympy/issues/detail?id=2416

This should not simplify to -1, since it is 1 for even k and -1 for odd k:
In [1]: k = Symbol('k', integer=True)
In [2]: exp(I*k**2*pi)
Out[2]: -1

However, this is correct:

In [10]: k = Symbol('k', integer=True, odd=True)
In [11]: exp(I*k**2*pi)
Out[11]: -1

In [12]: k = Symbol('k', integer=True, even=True)
In [13]: exp(I*k**2*pi)
Out[13]: 1


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