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By extrapolating the cluster size $L$ to infinity, we obtain accurate phase boundaries $J_{2}^{c1} \\approx 0.42$ (between the N$\\acute{e}$el antiferromagnetic phase and nonmagnetic phase), and $J_{2}^{c2} \\approx 0.59$ (between nonmagnetic phase and the collinear antiferromagnetic phase). The transitions are identified unambiguously as second order at $J_{2}^{c1}$ and first order at $J_{2}^{c2}$. 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