There's no precision here: they're exact elements.  It should be easier to
deal with than some similar problems with fraction fields of multivariate
polynomial rings, since we only have to worry about monomials in the
denominator.

I made some comments on the ticket.
David

On Sat, Apr 23, 2016 at 2:44 AM, Simon King <[email protected]> wrote:

> Hi Travis,
>
> On 2016-04-23, Travis Scrimshaw <[email protected]> wrote:
> > Hey all,
> >    There is a hashing error likely with multivariate Laurent polynomial
> > rings:
> >
> > sage: R.<a,b> = LaurentPolynomialRing(ZZ)
> > sage: elt = (a + b) * (~a + ~b) - a*~b - ~a*b - 1
> > sage: elt == R.one()
> > True
> > sage: hash(elt) == hash(R.one())
> > False
> >
> > This is now http://trac.sagemath.org/ticket/20490. I would appreciate if
> > anyone could figure out what is going wrong with this.
>
> IIRC, there has been a similar (or probably the same) error with power
> series, and the solution was to make them non-hashable. I think elements
> of rings with a fixed precision shouldn't be hashable, in general.
>
> Best regards,
> Simon
>
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