  In this work I apply a recently proposed improvement procedure, originally
conceived to reduce finite lattice spacing effects in transfer matrices for
dilute Fermi systems, to tuning operators for the calculation of observables. I
construct, in particular, highly improved representations for the energy and
the contact, as a first step in an improvement program for finite-temperature
calculations. I illustrate the effects of improvement on those quantities with
a ground-state lattice calculation at unitarity.
