#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 chapoton):

 Well, I think I do not have much more to say. I have not yet tested the
 new conversions, but I am confident that they work and will try them soon.

 I think we can leave further improvements for later tickets. I have noted
 an error occuring when doing FractionField(PolynomialRing(UCF,'x')), which
 may need investigation. There is also the annoying fact that the elements
 do not know that they belong to a field. Given that the ticket has been
 waiting for a long time, I propose to postpone these minor questions to
 later tickets.

 If the bot gives a green light, except for the startup module, I will give
 a positive review. This may have to wait for one week, as I am traveling
 next week.

 One last thing : the following lines have to be modified, as this has been
 implemented :

   .. TODO::            modify CyclotomicField to add a (partial)
 conversion from UCF

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:141>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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