#21059: Change WithRealizations._an_element_ to use a_realization
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Reporter: tscrim | Type: defect
Status: new | Priority: major
Milestone: sage-7.3 | Component: categories
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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As noticed on #21054, there is a discrepancy between `one` and
`_an_element_` for parents that are in the category `*.WithRealizations`,
in that the former uses `a_realization`, whereas the latter uses
`realizations()[0]`. While on #21054, this did uncover an error, this
cases problems with the test suite when a realization does not get created
before `an_element` gets called (which I have noticed before).
Thus, I propose to have `_an_element_` use `a_realization()`, which is a
required implementation and `_an_element_` will also have consistent
output no matter which basis is created first.
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Ticket URL: <https://trac.sagemath.org/ticket/21059>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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