On Sep 8, 4:13 pm, Francois Maltey <[email protected]> wrote:
> I continue to try to plot in the complex plane the 4 solutions of the
> equation :
>
> z^4+2*a*z^2+1 = 0 when a is a real.
>
> I want to get a circle and 2 lines...
>
> Guru ckrisman explains that today this plot seems impossible and gives
> me a tip with lambda : .... calls in plot.
> I can make more parametric_plot with but I can't get this one.
Definitely NOT a guru. I ask as many questions here as anyone else,
probably more :)
This seems a very different type of question from the previous ones.
I don't know that Sage has any implicit plotting capability for
complex-valued functions, though it would be great if it did.
A workaround for now *should* be to use implicit_plot and "manually"
multiply x+i*y out for z, but that also won't work until
fast_callable in the plotting code is allowed to have complex input.
I can't see any other way of doing it that wouldn't involve more work
than you are probably looking for. For instance, you could do expand
((x+i*y)^4+2*a*(x+i*y)^2+1), do your own grid to find out when it is
zero or very close to zero, and plot the points on that grid... but I
would have to say that for now such functionality simply isn't in
Sage. It could probably be fairly easily implemented, but no one has
done so yet. I hope a true guru sets me straight if I'm wrong!
Good luck,
- kcrisman
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