#18836: Make refine_embedding into a method of number fields instead of
stand-alone
-------------------------------------+-------------------------------------
Reporter: cremona | Owner:
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-6.8
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: John Cremona | Reviewers: Vincent Delecroix
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/cremona/18836-refine_embedding | ee94ab4b6da7a2bdf20b6fc50eefb2dba9190494
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Comment (by nbruin):
The fact that `_value` becomes a ''real'' interval element is probably due
to this implementation (line 7431 of `sage/rings/qqbar.py`)
{{{
def _interval_fast(self, prec):
gen_val = self._generator._interval_fast(prec)
v = self._value.polynomial()(gen_val)
if self._exactly_real and is_ComplexIntervalFieldElement(v):
return v.real()
return v
}}}
It could well be that this is really the intention (and there could be
other places where the interval is set to be a real thing!), in which case
the bug is indeed in `sqrt`, which should avoid relying on "argument"
being available.
--
Ticket URL: <http://trac.sagemath.org/ticket/18836#comment:9>
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