This is indeed odd.
> X=plot([])
>
>
You shouldn't have to do this - let us know if it doesn't plot otherwise.
And the canonical way to do it if you really wanted to is X = Graphics() .
> X+=E.base_extend(S[0]).plot(color="red",legend_label=str(exp(1.)))
> X
>
> the legend appears twice (tried with 6.4.1, 6.6, 6.7). Is it a bug ?
>
>
I would think so.
sage: F = E.base_extend(S[0])
sage: F.plot(legend_label='b')
Launched png viewer for Graphics object consisting of 2 graphics primitives
So note that it really is two objects.
sage: F.plot()
Launched png viewer for Graphics object consisting of 2 graphics primitives
And it is even without the label! That just makes it obvious. In fact,
this is even documented (!)
sage: E = EllipticCurve('37a')
sage: plot(E)
Graphics object consisting of 2 graphics primitives
So the question is what to do about it with things like legends. The code
for plotting is very ugly, presumably to take care of the 'bounded' and
'unbounded' components, but I did find where it comes in.
for j in range(len(I)):
<snip>
if shape == 'o':
g += plot.line(v + list(reversed(w)) + [v[0]], **args)
elif shape == '<':
g += plot.line(list(reversed(v)) + w, **args)
elif shape == '>':
g += plot.line(v + list(reversed(w)), **args)
else:
g += plot.line(v, **args)
g += plot.line(w, **args)
return g
So *each* component gets all optional arguments. Which ordinarily makes
sense (things like color or F.plot(marker='^') or F.plot(linestyle='--'))
but in this case does not.
I've opened http://trac.sagemath.org/ticket/18711 but I would appreciate if
any number theorists could comment there what they expect and so forth,
because one wouldn't want some nasty side effects from anything done. One
could monkey in a solution for legend stuff but in truth there are a lot of
legend options and so it would be better to have a cleaner solution, such
as one that did the plots first and *then* passed in keyword arguments, if
that were possible.
- kcrisman
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