Sorry, my message was incomplete.
So yes, there is a problem.
On Mon, 4 Jul 2022 at 16:14, G. M.-S. <lists....@gmail.com> wrote:
>
> Hi Gema.
>
> Doing
>
> sage: xt,yt=C[*0*],C[*1*]
>
> sage: xt.taylor(t,oo,*3*)
>
> -6*t^4*e^(-3*t)*log(t)^2 - 3*t*e^(-2*t)*log(t)^2 - 1
>
> sage: yt.taylor(t,oo,*3*)
>
> 1/2*t*e^(-2*t)*log(t)^2 + 1/2*(2*t^4*log(t)^2 + t*log(t)^3)*e^(-3*t) + 1/2
>
> sage:
>
> you see that it converges towards (-1, 1/2) exponentially quickly.
>
> HTH,
>
> Guillermo
>
> On Mon, 4 Jul 2022 at 13:56, Gema María Diaz <gemamaria...@gmail.com>
> wrote:
>
>> Hello,
>>
>> I've the following curve,
>>
>> t=var('t')
>> C=[(-exp(2*t) + (-t^2 - 2*t)*ln(t)^2 - t^6 + 2*exp(t)*t^3)/(exp(2*t) +
>> (t^2 - t)*ln(t)^2 + t^6 - 2*exp(t)*t^3), ((28*t^18 + 60*ln(t)^2*t^14 +
>> 36*ln(t)^4*t^10 - 10*ln(t)^3*t^10 + 4*t^6*ln(t)^6 - 6*ln(t)^5*t^6)*exp(2*t)
>> + (-56*t^15 - 80*ln(t)^2*t^11 - 24*ln(t)^4*t^7 + 10*ln(t)^3*t^7 +
>> 2*ln(t)^5*t^3)*exp(3*t) + (70*t^12 + 60*ln(t)^2*t^8 + 6*ln(t)^4*t^4 -
>> 5*ln(t)^3*t^4)*exp(4*t) + (-56*t^9 - 24*ln(t)^2*t^5 + ln(t)^3*t)*exp(5*t) +
>> (28*t^6 + 4*t^2*ln(t)^2)*exp(6*t) - 8*exp(7*t)*t^3 + exp(8*t) + (t^8 +
>> t^4)*ln(t)^8 + ((t^5 + 2*t^3)*exp(t) - t^8 - 2*t^6)*ln(t)^7 + (4*t^12 -
>> 8*t^9*exp(t))*ln(t)^6 + (-2*t^12 + 6*t^9*exp(t))*ln(t)^5 + (6*t^16 -
>> 24*t^13*exp(t))*ln(t)^4 + (-t^16 + 5*t^13*exp(t))*ln(t)^3 + (4*t^20 -
>> 24*t^17*exp(t))*ln(t)^2 + t^24 - 8*exp(t)*t^21)/(2*(((3*t^4 -
>> 2*t^3)*ln(t)^4 + (18*t^8 - 6*t^7)*ln(t)^2 + 15*t^12)*exp(2*t) + ((-12*t^5 +
>> 4*t^4)*ln(t)^2 - 20*t^9)*exp(3*t) + ((3*t^2 - t)*ln(t)^2 + 15*t^6)*exp(4*t)
>> - 6*exp(5*t)*t^3 + exp(6*t) + (t^6 - t^5)*ln(t)^6 + (t^5/2 -
>> exp(t)*t^2/2)*ln(t)^5 + ((-6*t^7 + 4*t^6)*exp(t) + 3*t^10 - 2*t^9)*ln(t)^4
>> + ((-12*t^11 + 4*t^10)*exp(t) + 3*t^14 - t^13)*ln(t)^2 + t^18 -
>> 6*exp(t)*t^15)*(exp(2*t) + t^2*ln(t)^2 + t^3*(t^3 - 2*exp(t))))]
>>
>> and I'd like to see how it is like. Just with:
>>
>> parametric_plot(C, (t,0,80), plot_points=5500)
>>
>> one sees what's going on. However, with
>>
>> parametric_plot(C, (t,0,90), plot_points=5500)
>>
>> suddenly a vertical lines appears. I think it is a bug, am I right ?
>>
>> thanks
>> Gema M.
>>
>
>
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