#8327: Implement the universal cyclotomic field, using Zumbroich basis
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Reporter: nthiery | Owner:
Type: enhancement | Status:
needs_review
Priority: major | Milestone: sage-5.6
Component: number fields | Resolution:
Keywords: Cyclotomic field, Zumbroich basis | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Christian Stump, Simon King | Merged in:
Dependencies: #13727, #13728 | Stopgaps:
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Comment (by nthiery):
Replying to [comment:125 stumpc5]:
> Replying to [comment:123 nthiery]:
> > Replying to [comment:122 stumpc5]:
> > > > * why is the hash function test tagged with random ? does it
depend on the computer or something like that ?
> > >
> > > If I am not mistaken, the hash is only unique in a given Sage
session.
> >
> > It is not required that the hash value of an object be unique across
> > Sage session. However the implementation usually guarantees this,
> > which is a good feature. In fact, most of the time in Sage, the hash
> > value only depends on the architecture (32bits/64bits) and when this
> > is the case, it is good to test it explicitly in order to get noticed
> > in case the hash value would change for some reason
>
> Thanks for the clarification!
>
> Do you also happen to know how to handle the real conversion as in
{{{AA(QQbar(E(5) + E(5)^4))}}} in comment:118 ?
Did you try implementing the (partial) morphism from UCF to AA (using
SetMorphism and the category of SetsWithPartialMaps), and register it as a
conversion?
If yes, this could possibly be done during the initialization of UCF.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:126>
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