  In this paper we present results from numerical simulations of N=4 super
Yang-Mills for two color gauge theory over a wide range of 't Hooft coupling
$0<\lambda\le 30$ using a supersymmetric lattice action
\cite{Catterall:2009it}. Numerical study of this lattice theory has been
stymied until recently by both sign problems and the occurrence of lattice
artifact phases at strong coupling. We have recently developed a new action
that appears capable of solving both problems. The resulting action possesses
just $SU(2)$ rather than $U(2)$ gauge symmetry. By explicit computations of the
fermion Pfaffian we present evidence that the theory possesses no sign problem
and exists in a single phase out to arbitrarily strong coupling. Furthermore,
preliminary work shows that the logarithm of the supersymmetric Wilson loop
varies as the square root of the 't Hooft coupling $\lambda$ for large
$\lambda$ in agreement with holographic predictions.
