  We analyse the inner products of edge state wavefunctions in the fractional
quantum Hall effect, specifically for the Laughlin and Moore-Read states. We
use an effective description for these inner products given by a large-$N$
expansion ansatz proposed in recent work by J. Dubail, N. Read and E. Rezayi,
PRB 86, 245310 (2012). As noted by these authors, the terms in this ansatz can
be constrained using symmetry, a procedure we perform to high orders. We then
check this conjecture by calculating the overlaps exactly for small system
sizes and compare the numerics with our high-order expansion. We find the
effective description to be very accurate.
