#14239: symbolic radical expression for algebraic number
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Reporter: gagern | Owner: davidloeffler
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: Martin von Gagern | Reviewers: Marc Mezzarobba,
Report Upstream: N/A | Jeroen Demeyer
Branch: | Work issues:
u/gagern/ticket/14239 | Commit:
Dependencies: #17495, #16964 | 09683145989c437b59e02c02409d1dac05ac379d
| Stopgaps:
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Comment (by gagern):
Replying to [comment:76 jdemeyer]:
> > So in a certain sense, `as_number_field_element` makes it easier to
find a symbolic expression for a given algebraic number
> I don't like it because it makes things depend again on the choice of
generator...
I could make `via_nf` default to false. But practically speaking, when I
try to convert stuff to radical expressions, I care mostly about obtaining
a radical expression, and only secondly about that expression not
depending on too much other stuff (like the exact descriptor tree, the
result of `do_polred`, and whatever). So returning a value which only
depends on the minimal polynomial is nice when that value is radical, but
if that fails, I really think I'd want to try harder instead of giving up
early.
--
Ticket URL: <http://trac.sagemath.org/ticket/14239#comment:79>
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