#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 stumpc5):

 Hi --

 I think we are now some big steps forward!

 - I took care of everything Fred was asking for, in particular the partial
 conversion to {{{AA}}}.

 and

 - I implemented conversion to the cyclotomic field ! There is still an
 issue left, which I cannot take care off. Namely, the embedding of the
 cyclotomic field into the complex numbers can be given in the constructor.
 But I didn't find a way to capture this embedding to send an element of
 the universal cyclotomics into the cyclotomic field AND preserve the
 embedding.

 Ready for another review!

 Best, Christian

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:132>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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