#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: #13765 | Stopgaps:
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Comment (by nthiery):
Replying to [comment:159 nbruin]:
> Don't test the actual value returned by hash, but test its
functionality. Something like (do we have some example that exercises
hashes appropriately?):
> {{{
> sage: a = ...
> sage: b = ...
> sage: c = ...
> sage: V = set([a,b])
> sage: <definition for a> in V
> true
> sage: b in V
> true
> sage: c in V
> false
> }}}
> and perhaps test your hash function is not the constant function and has
a reasonable distribution:
> {{{
> sage: L = [<object> for i in [1..100]]
> sage: set(hash(x) for x in L).len() >= 98
> true
> }}}
Just a remark: those would make good candidates for a generic _test_hash
method for parents.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:162>
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