On Sunday, November 8, 2015 at 10:53:31 PM UTC-8, Sihuang Hu wrote:
>
> When I load these command from a file "***.py", I will get
> [ 1  3  3  1]
> [ 1  0 -3 -1]
> [ 1 -3  3  1]
> [ 1 -3  3 -5]
>

Ah, that's a very important detail: that indicates that something that the 
preprocessor does makes a difference. Indeed:

sage: Krawtchouk(3,2,3,3)
-1
sage: Krawtchouk(int(3),int(2),int(3),int(3))
-5

That's a bug, and one that should be pretty straightforward to solve.

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