#15348: "R.<a> =" syntactic sugar incorrect for EquationOrder and ZZ.extension
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Reporter: emassop | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-7.0
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/15348 | dac0a4cdb957393b282619213dc231f55cf55cc4
Dependencies: | Stopgaps:
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Comment (by jdemeyer):
If you want this to work:
{{{
sage: K.<i> = NumberField(x^2+1)
sage: O.<a> = K.order(-i+1)
sage: a
-i + 1
}}}
you'll need to drop unique representation for orders: currently, the
following two return the exact same object:
{{{
sage: O1 = K.order(-i+1)
sage: O2 = K.order(-i)
sage: O1 is O2
True
}}}
You cannot have `O1.defining_generators()` and `O2.defining_generators()`
be different if `O1` is the same object as `O2`. So this cannot be fixed
without making major changes.
--
Ticket URL: <http://trac.sagemath.org/ticket/15348#comment:14>
Sage <http://www.sagemath.org>
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