  In spite of its ubiquity in strongly correlated systems, the competition of
paired and nematic ground states remains poorly understood. Recently such a
competition was reported in the two-dimensional electron gas at filling factor
$\nu=5/2$. At this filling factor a pressure-induced quantum phase transition
was observed from the paired fractional quantum Hall state to the quantum Hall
nematic. Here we show that the pressure induced paired-to-nematic transition
also develops at $\nu=7/2$, demonstrating therefore this transition in both
spin branches of the second orbital Landau level. However, we find that
pressure is not the only parameter controlling this transition. Indeed, ground
states consistent with those observed under pressure also develop in a sample
measured at ambient pressure, but in which the electron-electron interaction
was tuned close to its value at the quantum critical point. Our experiments
suggest that electron-electron interactions play a critical role in driving the
paired-to-nematic transition.
