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We investigate the critical behavior and the duality property of the ferromagnetic q-state clock model on the square lattice based on the tensor-network formalism.From the entanglement spectra of local tensors defined in the original and dual lattices,we obtain the exact self-dual points for the model with q ≤ 5 and approximate self-dual points for q ≥ 6.We calculate accurately the lower and upper critical temperatures for the six-state clock model from the fixed-point tensors determined using the higher-order tensor renormalization group method and compare with other numerical results.