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As one test of the validity of the staggered-fermion fourth-root determinant trick, we examine the suppression of the topological suspectibility of the QCD vacuum in the limit of small quark mass. The suppression is sensitive to the number of light sea quark flavors. Our study is done in the presence of 2+1 flavors of dynamical quarks in the improved staggered fermion formulation. Variance-reduction...