#20513: bug with cyclotomic fields embeddings and coercions
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  number fields      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/20513                 |  c96139adf1ff7114315c312b7a2c97cd0e76940e
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vdelecroix):

 * status:  new => needs_review
 * commit:   => c96139adf1ff7114315c312b7a2c97cd0e76940e
 * branch:   => u/vdelecroix/20513


Old description:

> {{{
> sage: K60.<zeta60> = CyclotomicField(60)
> sage: K30.<zeta30> = CyclotomicField(30, embedding=zeta60**2)
> sage: K15.<zeta15> = CyclotomicField(15, embedding=zeta30**2)
> sage: K5.<zeta5> = CyclotomicField(5, embedding=zeta15**3)
> sage: zeta5 * zeta60
> # BOOM #
> }}}

New description:

 {{{
 sage: K60.<zeta60> = CyclotomicField(60)
 sage: K30.<zeta30> = CyclotomicField(30, embedding=zeta60**2)
 sage: K15.<zeta15> = CyclotomicField(15, embedding=zeta30**2)
 sage: K5.<zeta5> = CyclotomicField(5, embedding=zeta15**3)
 sage: zeta5 * zeta60
 # BOOM #
 }}}

 see: https://groups.google.com/forum/#!topic/sage-support/J4rLkHUNU1E

--

Comment:

 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=8d8602f93e38dd7fa9e8d0a8502d5454a9988d4c
 8d8602f]||{{{Trac 20400: conversion rational in NF -> QQbar}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=c96139adf1ff7114315c312b7a2c97cd0e76940e
 c96139a]||{{{Trac 20513: fix cyclotomic field embeddings}}}||

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Ticket URL: <http://trac.sagemath.org/ticket/20513#comment:1>
Sage <http://www.sagemath.org>
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