I have numerically obtained some curves, corresponding with it I have also obtained some roots. I strongly believed these curves can be fitted with some (elliptic) functions taken the roots as parameters. However, due to the limitation of my mathematical knowledge, I haven't fount a very nice fit. So here I am asking for advice based on your experience with the graph of the functions.

ps:The most relevant graph I found up to now is the second EllipticTheta function. However, I don't figure out how I can apply the roots as good parameters.

roots: $\pm0.000924287 \pm 0.00336612 I$

roots:$\pm0.00120276 \pm 0.00332996 I$

roots:$\pm0.00142757 \pm 0.00329385 I$

roots:$\pm0.0016212 \pm 0.00325777 I1$

roots:$\pm0.00179376 \pm 0.00322174 I$