#17116: Inconsistency between imag function and method
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Reporter: gagern | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.4
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by gagern):
There is a third option: instead of returning a symbolic expression or a
number field element, I could also have `imag` return an element of a
cyclotomic field of possibly higher order. For a field of order `n`, the
field of order `lcm(n, 4)` will contain `I` and can therefore be used to
represent the imaginary part as a real number. I would think that staying
in the world of cyclotomic fields might reduce the number of conversions
in some cases. But I don't have any real experience how these two compare
performance-wise for real world computations. Any opinions on this?
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Ticket URL: <http://trac.sagemath.org/ticket/17116#comment:2>
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