The eigenvalue plot has data for multiple lines plotted against the independent variable (speed). There are four eigenvalues and each have real and imaginary parts. So you want to be able to download the plotted data in to a CSV file that looks like:
speed,eval1_real,eval2_real,eval3_real,eval4_real,eval1_imag,eval2_imag,eval3_imag,eval4_imag
3.0,x.xxx,x.xxx,x.xxx,x.xxx,x.xxx,x.xxx,x.xxx,x.xxx,x.xxx,x.xxx
The x.xxx should be values printed to 14 decimal places using '{:1.14f}'.format(eval1_real).
This function calculates the eigenvalues: https://github.com/moorepants/BicycleParameters/blob/master/bicycleparameters/main.py#L853