Just as I thought. So there is nothing I can do but work with sage
3.1.1, right?

Those polynomials arised as coefficients of some polynomials in F_q(t)
[T] and inside a sum command:

sum ( (do something with H_j(T)) for j in bla bla)

The routine which gave the error was successfully used many times
before.

Thanks John.

---Alex

On 7 mar, 05:50, John Cremona <[email protected]> wrote:
> That is definitely a bug.  Doing it step by step works:
>
> sage: fd=f.denominator(); gd=g.denominator()
> sage: fn=f.numerator(); gn=g.numerator()
> sage: fn*gd+fd*gn
> 2*t^18 + t^11 + t^10 + 2*t^2
> sage: hn = fn*gd+fd*gn
> sage: hd = fd*gd
> sage: hn.gcd(hd)
> t^3 + 2*t^2
> sage: hn/hd
> (2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + t^7 +
> t^6 + t^5 + t^4 + t^3 + t^2 + t + 1)/(t^17 + t^9 + t)
>
> sage 3.4.alpha0 gives the same thing.
>
> John Cremona
>
> 2009/3/7 Alex Lara <[email protected]>:
>
>
>
> > Hi guys,
>
> > I recently upgrade sage from 3.2.3 to 3.3. I'm also have sage 3.1.1
> > The thing is that the following commands give different results:
>
> > F.<theta>=FiniteField(9)
> > A.<t> = PolynomialRing(F)
> > K.<t> = FractionField(A)
> > f= 2/(t^2+2*t); g =t^9/(t^18 + t^10 + t^2);f+g
>
> > In 3.1.1 gives the right answer (I guess) but in 3.2.3 give an error:
>
> > ZeroDivisionError                         Traceback (most recent call
> > last)
> > ...
> > ZeroDivisionError: division by zero in finite field.
>
> > I don't know how those commands work in 3.2.3.
>
> > I had a problem with sage 3.2.3, but Craig Citro helped me. Sage 3.2.3
> > couldn't open objects created in sage 3.1.1. This objects contain
> > polynomials p(T) in F_q(t)[T]. Perhaps these problems are related.
>
> > Any idea of how to fix that?
>
>
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