I forgot:
'SageMath version 10.0.beta3, Release Date: 2023-03-02'
Compiled this morning on OSX 12.6.3
On Friday, March 10, 2023 at 11:37:44 AM UTC-5 dei...@gmail.com wrote:
> I am attempting to compute some sets of rational functions.
> Unfortunately, it seems that elements of a fraction field are only reduced
> to unit multiples of numerator and denominator. Multiplying the numerator
> and denominator by the same unit gives equal elements, but they hash to
> different things.
>
>
> I can separate each rational function into numerator and denominator,
> rescale them and reconstruct the fraction, but is there a simpler way?
>
>
>
> R.<w>=PolynomialRing(ZZ)
>
> K=FractionField(R)
>
> test = (K(-1)/K(-w))
>
> test.reduce()
>
> print(test)
>
>
> -1/-w
>
> print(test == K(1/w))
>
> True
>
> s = set([K(1/w), test])
> print(s)
>
> {1/w, -1/-w}
>
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