#19956: elements of finite field algebraic closure are not hashable
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Reporter: vdelecroix | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.1
Component: finite rings | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by vdelecroix):
* cc: pbruin (added)
Old description:
> We have
> {{{
> sage: K = GF(2).algebraic_closure()
> sage: a = K.an_element()
> sage: hash(a)
> Traceback (most recent call last):
> ...
> TypeError: ...
> }}}
> and this prevent resultant computation of bivariate polynomials
> {{{
> sage: R.<x,y> = K[]
> sage: x.resultant(y)
> Traceback (most recent call last):
> ...
> TypeError: ...
> }}}
New description:
We have
{{{
sage: K = GF(2).algebraic_closure()
sage: a = K.an_element()
sage: hash(a)
Traceback (most recent call last):
...
TypeError: ...
}}}
and this prevent resultant computation of bivariate polynomials
{{{
sage: R.<x,y> = K[]
sage: x.resultant(y)
Traceback (most recent call last):
...
TypeError: ...
}}}
------
Just as a remark, the hash we had in sage-6.8 was '''completely''' broken
{{{
sage: F = GF(2).algebraic_closure()
sage: z3 = F.gen(3)
sage: z2 = F.gen(2)
sage: hash(z2)
15616093818140894
sage: hash(z3+z2-z3)
5386247743066594243
}}}
But thanks to #19016 the error now shows up!
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Ticket URL: <http://trac.sagemath.org/ticket/19956#comment:1>
Sage <http://www.sagemath.org>
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