  The A-polynomial of a manifold whose boundary consists of a single torus is
generalised to an eigenvalue variety of a manifold whose boundary consists of a
finite number of tori, and the set of strongly detected boundary curves is
determined by Bergman's logarithmic limit set, which describes the exponential
behaviour of the eigenvalue variety at infinity. This enables one to read off
the detected boundary curves of a multi-cusped manifold in a similar way to the
1-cusped case, where the slopes are encoded in the Newton polygon of the
A-polynomial.
