Hi,
I need advice from algebraic fields experts. Currently,
sage: RR(-1)^(1/3)
0.500 + 0.866025403784439*I
sage: CC(-1)^(1/3)
0.500 + 0.866025403784439*I
sage: QQbar(-1)^(1/3)
0.500? + 0.866025403784439?*I
sage: AA(-1)^(1/3) #
For the context, visit
here: https://github.com/sagemath/sage/pull/38362#issuecomment-2311850490
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This is indeed annoying. For further input, notice that python gives
the complex principal root rather than the real root
>>> (-1.) ** 0.33
(0.5090414157503712+0.8607420270039436j)
It seems most likely that the behavior of AA should be changed.
On Tue, 27 Aug 2024 at 14:38, Kwankyu Lee wrote:
>
Thanks.
We plan to fix the behaviors
in https://github.com/sagemath/sage/pull/38564, after a deprecation period.
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On Tue, Aug 27, 2024 at 3:37 PM Kwankyu Lee wrote:
>
> sage: RR(-1)^(1/3)
> 0.500 + 0.866025403784439*I
I think it is of doubtful correctness RR not being closed under coercion:
sage: RR(RR(-1)^(1/3))
TypeError: unable to convert '0.500+0.866025403784439*I'
to a real numbe
On Tuesday 27 August 2024 at 05:42:55 UTC-7 vdelecroix wrote:
This is indeed annoying. For further input, notice that python gives
the complex principal root rather than the real root
>>> (-1.) ** 0.33
(0.5090414157503712+0.8607420270039436j)
I'm not sure that's a completely fair comparison
I think it is of doubtful correctness RR not being closed under coercion:
sage: RR(RR(-1)^(1/3))
TypeError: unable to convert '0.500+0.866025403784439*I'
to a real number
"closed under coercion" sounds vague to me. I doubt if there is such a
concept in sage.
Fractional powers n
On Wed, 28 Aug 2024 at 03:46, Kwankyu Lee wrote:
>
>
> I think it is of doubtful correctness RR not being closed under coercion:
> sage: RR(RR(-1)^(1/3))
> TypeError: unable to convert '0.500+0.866025403784439*I'
> to a real number
>
>
> "closed under coercion" sounds vague to me. I do
