  We study the geometry and mechanics (both classical and quantum) of potential
wells described by squares of Chebyshev polynomials. We show that in a small
neighbourhood of the locus cut out by them in the space of hyperelliptic
curves, these systems exhibit low-orders/low-orders resurgence, where
perturbative fluctuations about the vacuum determine perturbative fluctuations
about non-perturbative saddles.
