  We analyze 16 failed filament eruptions observed near 24 solar cycle maximum
from May 2013 to July 2014. No significant rotation of filament spines is
observed during the ascent in all studied failed eruptions, which does not
support kink-instability mechanism of triggering the eruptions. We calculate
potential magnetic field distributions in the corona above the initial
locations of the filaments to study their height dependence. In seven events,
the vertical profiles of the decay index $n$ are monotonic. The other nine
events occur in the regions with the switchback or saddle-like n-profiles. The
direction of the horizontal field near the saddle bottom is turned through more
than 100$^\circ$ relative its direction at the initial filament position, which
reveals the quadrupolar magnetic configuration with null points in these
regions. The eruptive filaments stop above the null points where the total
Lorenz force is directed upward. The most reasonable force that can terminate
filament ascending and balance the Lorenz force seems the gravity.
