#11670: fix number fields being unique parents -- this got broken over the years
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Reporter: was | Owner: davidloeffler
Type: defect | Status: needs_review
Priority: major | Milestone: sage-4.7.2
Component: number fields | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by SimonKing):
Yep. Here is an explicit example exposing the missing uniqueness:
{{{
sage: N = NumberField(x^12 - 4*x^11 + 6*x^10 - 5*x^9 + 5*x^8 - 9*x^7 +
21*x^6 - 9*x^5 + 5*x^4 - 5*x^3 + 6*x^2 - 4*x + 1, 'a')
sage: M = N.optimized_representation()[0]
sage: M
Number Field in a6 with defining polynomial x^12 - 4*x^11 + 6*x^10 - 5*x^9
+ 5*x^8 - 9*x^7 + 21*x^6 - 9*x^5 + 5*x^4 - 5*x^3 + 6*x^2 - 4*x + 1
sage: N is M.change_names(names='a')
False
sage: N == M.change_names(names='a')
True
}}}
I guess it can be fixed in the `change_names` method.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11670#comment:10>
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