#8327: Implement the universal cyclotomic field, using Zumbroich basis
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       Reporter:  nthiery                            |         Owner:           
 
           Type:  enhancement                        |        Status:  
needs_work
       Priority:  major                              |     Milestone:  sage-5.0 
 
      Component:  number fields                      |    Resolution:           
 
       Keywords:  Cyclotomic field, Zumbroich basis  |   Work issues:           
 
Report Upstream:  N/A                                |     Reviewers:           
 
        Authors:  Christian Stump, Simon King        |     Merged in:           
 
   Dependencies:  #4539 #10771 #7980                 |      Stopgaps:           
 
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Comment (by stumpc5):

 Replying to [comment:93 davidloeffler]:

 > In fact UCF will attempt to construct an element from anything
 whatsoever:
 > {{{
 > sage: UCF(None)
 > None
 > sage: UCF(QQ)
 > Rational Field
 > sage: UCF('hello')
 > 'hello'
 > }}}

 I didn't implement the `__call__` method - what is the behaviour you would
 expect here?

 > The following are not great either:
 > {{{
 > sage: UCF.has_coerce_map_from(CyclotomicField(3))
 > False
 > }}}

 how can I get a coerce from `CyclotomicField(n)` for all `n`?

 > {{{
 > sage: QQbar.has_coerce_map_from(UCF)
 > False
 > }}}

 I fixed this.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:94>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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