We study the Abrikosov-Nielsen-Olesen multi-vortices. Using a numerical code we are able to solve the vortex equations with winding number up to n = 25, 000. We can thus check the wall vortex conjecture previously made in [1,2]. The numerical results show a remarkable agreement with the theoretical predictions.December, 2005 * bolognesi@nbi.dk † gudnason@nbi.dk