Since it became possible to create electron vortex beams (EVB) in transmission electron microscopes (TEM) in 2010, it has been very important to understand their motion, in particular in the magnetic lens fields in a TEM. These doughnut shaped beams carry quantized orbital angular momentum as well as a quantized magnetic moment. These properties render them attractive for applications like particle manipulation and mapping magnetic moments on the atomic scale. Additionally there have been proposals to employ EVB in an electron spin polarizing quadrupole-Wien-filter. Standard electron imaging...