  In this article we study how bad can be the singularities of a time-optimal
trajectory of a generic control affine system. In the case where the control is
scalar and belongs to a closed interval it was recently shown in [6] that
singularities cannot be, generically, worse than finite order accumulations of
Fuller points, with order of accumulation lower than a bound depending only on
the dimension of the manifold where the system is set. We extend here such a
result to the case where the control has an even number of scalar components
and belongs to a closed ball.
