#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 stumpc5):

 Replying to [comment:159 nbruin]:
 > Replying to [comment:158 stumpc5]:

 Thanks for the clarification!

 > I only found hashes for elements in your patch.

 Right, but there is a {{{__hash__}}} function returning the id, that's why
 I wasn't quite sure... I now do test the hash by functionality, do you
 think it's better now?

 Btw: As with the hash for elements in the !CyclotomicField, it does not
 depend on the embedding of the parent. Do you think this might cause
 problems?

 Finally, some functionalities become slower (e.g. matrix multiplication
 where addition or multiplication of UCF elements are done multiple times).
 Do you think, it is appropriate to cache (in the parent) the
 multipliciation or addition in UCF.Elements ?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8327#comment:160>
Sage <http://www.sagemath.org>
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