In a recent paper, Y. Hu has given a sufficient condition for the fundamental group of the r-th cyclic branched covering of S³ along a prime knot to be left-orderable in terms of representations of the knot group. Applying her criterion to a large class of two-bridge knots, we determine a range of integers r > 1 for which the r-th cyclic branched covering of S³ along the knot is left-orderable.

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