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We report on a search for the lepton flavor violating τ- → μ- γ and τ- → e- γ decays based on 535 fb-1 of data accumulated at the Belle experiment. No signal is found and we set 90% confidence level upper limits on the branching ratios B (τ- → μ- γ) < 4.5 × 10-8 and B (τ- → e- γ) < 1.2 × 10-7. © 2008 Elsevier B.V.