  We introduce a family of paired-composite-fermion trial wave functions for
any odd Cooper-pair angular momentum. These wave functions are parameter-free
and can be efficiently projected into the lowest Landau level. We use
large-scale Monte Carlo simulations to study three cases: Firstly, the
Moore-Read phase, which serves us as a benchmark. Secondly, we explore the
pairing associated with the anti-Pfaffian and the particle-hole-symmetric
Pfaffian. Specifically, we assess whether their trial states feature
exponentially decaying correlations and thus represent gapped phases of matter.
For Moore-Read and anti-Pfaffian we find decay lengths of
$\xi_\text{Moore-Read}=1.30(5)$ and $\xi_\text{anti-Pfaffian}=1.38(14)$, in
units of the magnetic length. By contrast, for the case of PH-Pfaffian, we find
no evidence of a finite length scale for up to $56$ particles.
