  Rotational symmetries of N-qubit Greenberger-Horne-Zeilinger (GHZ) states
directly exhibit their nonlocality and render transparent the many possible
measurements that produce absolute contradictions with local realism. While N
measurements fix the assumed elements of reality, an exponentially growing
number of absolute contradictions occurs. Operators that represent the detector
settings provide a faithful representation of the symmetry group, and
demonstrate Kochen-Specker contextuality.
