Confusing root finding

MagPho.py now looks for roots of EQ 195 near each possible resonance.  I
can even tune magnetic field and plot each root.  I see
magneto-excitons, I see G band, but they cross instead of anti-cross.
When I take a detailed look at the behavior of the function around its
roots, it seems to have multiple roots near each resonance.  Different
cuts at different complex energies show stable roots.  Need to think
about the analytical form.