>
> >> For Sage, fixing the problem is actually trivial: when the 
> hypergeometric 
> >> function is a polynomial (and at least when the inputs are exact), 
> don't 
> >> call mpmath; just evaluate the polynomial directly and then call .n() 
> on the 
> >> result. 
> >> 
> > 
> > Except then Sage would have to know when it is a polynomial, and 
> probably we 
> > would need to ask Maxima for that (assuming it knows).  So maybe not 
> > completely trivial to make sure it works. 
>
> It's a polynomial when any of the first parameters is a nonpositive 
> integer. 
>
>
Is that "if and only if"?  That would certainly be convenient. 

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