#7545: Gaussian Integers
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Reporter: wuthrich |
Owner: davidloeffler
Type: enhancement |
Status: needs_info
Priority: minor |
Milestone: sage-wishlist
Component: number fields |
Resolution:
Keywords: gaussian integers, Z[i], quadratic number ring | Work
issues:
Report Upstream: N/A |
Reviewers:
Authors: | Merged
in:
Dependencies: |
Stopgaps:
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Comment (by kcrisman):
> Actually #13213 is not complete enough to start implementing this, we
need #13256 as well !
Thanks for pointing this out.
> By the way, the Gaussian integers is not the only integer ring which is
a euclidean ring ! This is True for negative discriminants -1 (Gaussian
integers), -2, -3, -7 and -11. Moreover, some of the quadratic fields with
positive discriminant are also norm-euclidean (see the
[http://en.wikipedia.org/wiki/Euclidean_domain#Norm-Euclidean_fields
related page] on wikipedia).
Of course! I am thinking of these primarily for pedagogical purposes - my
druthers would be to have these and the Eisenstein integers, that's as
much as I'll ever use at the undergraduate level.
If you'd like to start this (as I believe you understand technical details
of Sage coercion, which I do not really) by rebasing the current patch to
those tickets in the way you indicate, I should have some time this summer
and some motivation to help out.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7545#comment:9>
Sage <http://www.sagemath.org>
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