#7545: Gaussian 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-
  quadratic number ring                          |  wishlist
        Authors:                                 |   Resolution:
Report Upstream:  N/A                            |    Merged in:
         Branch:                                 |    Reviewers:
   Dependencies:                                 |  Work issues:
                                                 |       Commit:
                                                 |     Stopgaps:
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Comment (by wuthrich):

 Alias or its own class is still a question, I believe. Do we want
 {{{CyclotomicField(4)}}} and {{{QuadraticField(-1)}}} to return the same
 thing ? We agree that in either case it should be minimal.

 Why {{{I}}} is a symbolic expression in sage now is a mystery to me.
 Surely it should be in Z[i], just like 2 is in Z. That {{{I^2}}} is a
 symbolic expression and not an integer seems particularly inconvenient.

 Eisenstein integer could be dealt with on this same ticket. We only have
 to decide if the generator is a 3rd or a 6th root of unity.

--
Ticket URL: <http://trac.sagemath.org/ticket/7545#comment:30>
Sage <http://www.sagemath.org>
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