#16509: bug in .as_finite_field_element() when minimal=True
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Reporter: vdelecroix | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: finite rings | Resolution:
Keywords: bug | Merged in:
Authors: Peter Bruin | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/pbruin/16509-as_finite_field_element|
5572837f991d5ed6a1674e009de8c38e0c3bbc7c
Dependencies: | Stopgaps:
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Comment (by vdelecroix):
Hi Peter,
And, one more remark, with QQbar when such method is called the internal
representation is changed:
{{{
sage: a = QQbar(2^(1/4))
sage: b = a**2
sage: b.as_number_field_element()
(Number Field in a with defining polynomial y^4 - 2, a^2, Ring morphism:
From: Number Field in a with defining polynomial y^4 - 2
To: Algebraic Real Field
Defn: a |--> 1.189207115002722?)
sage: b.as_number_field_element(minimal=True)
(Number Field in a with defining polynomial y^2 - 2, a, Ring morphism:
From: Number Field in a with defining polynomial y^2 - 2
To: Algebraic Real Field
Defn: a |--> 1.414213562373095?)
sage: b.as_number_field_element(minimal=False)
(Number Field in a with defining polynomial y^2 - 2, a, Ring morphism:
From: Number Field in a with defining polynomial y^2 - 2
To: Algebraic Real Field
Defn: a |--> 1.414213562373095?)
}}}
Do we want the same here?
Vincent
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Ticket URL: <http://trac.sagemath.org/ticket/16509#comment:6>
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