#7545: Gaussian and Eisenstein integers
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       Reporter:  wuthrich                       |        Owner:
           Type:  enhancement                    |  davidloeffler
       Priority:  minor                          |       Status:
      Component:  number fields                  |  needs_info
       Keywords:  gaussian integers, Z[i],       |    Milestone:  sage-7.0
  quadratic number ring                          |   Resolution:
        Authors:  Jeroen Demeyer                 |    Merged in:
Report Upstream:  N/A                            |    Reviewers:
         Branch:                                 |  Work issues:
   Dependencies:  #15348                         |       Commit:
                                                 |     Stopgaps:
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Changes (by {'newvalue': u'Jeroen Demeyer', 'oldvalue': ''}):

 * milestone:  sage-wishlist => sage-7.0
 * author:   => Jeroen Demeyer
 * dependencies:   => #15348


Old description:

> When teaching Gaussian Integers, I decided to modify sage slightly for my
> students. For them Z[i] is the ring of a+b*i with a and b integers and
> they learn that one can compute gcd's and that the unique factorisation
> holds.

New description:

 Define `GaussianIntegers()` and `EisensteinIntegers()` as orders in the
 appropriate number field.

--

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Ticket URL: <http://trac.sagemath.org/ticket/7545#comment:34>
Sage <http://www.sagemath.org>
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