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We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of Cohen:2003xe,Cohen:2003qw,Kaplan:2005ta. We consider the =4 theory in D=0,2 dimensions and the =16 theory in D=0,2,4 dimensions. We show that the U(N) theories do not possess vacua which are stable non-perturbatively, but that this problem can be circumvented after truncation to SU(N). We measure the distribution of scalar field eigenvalues, the spectrum of thedoi:10.1088/1126-6708/2009/01/040 fatcat:jvdj27nvevdzpc4yrwr6uhwmuy