  The new voting system of the Council of the European Union cannot be
represented as the intersection of six or fewer weighted games, i.e., its
dimension is at least 7. This sets a new record for real-world voting bodies. A
heuristic combination of different discrete optimization methods yields a
representation as the intersection of 13368 weighted games. Determination of
the exact dimension is posed as a challenge to the community. The system's
Boolean dimension is proven to be 3.
