  We continue a series of numerical experiments on many-body systems with
random two-body interactions, by examining correlations in ratios in excitation
energies of yrast $J$ = 0, 2, 4, 6, 8 states. Previous studies, limited only to
$J$ = 0,2,4 states, had shown strong correlations in boson systems but not
fermion systems. By including $J \ge 6$ states and considering different
scatter plots, strong and realistic correlations appear in both boson and
fermion systems. Such correlations are a challenge to explanations of random
interactions.
