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An all-sky survey performed with the Tibet Air Shower Array (Tibet AS) has found a number of potential point sources of TeV gamma rays. If they are steady sources, the implied Tibet AS fluxes should be visible with strong significance to the Whipple 10-m gamma-ray telescope (E > 400 GeV) with only a short (5 hour) exposure. We have observed four candidate directions from the Tibet-II HD dataset for ~5 hours each with the Whipple telescope. In addition, we observed a new candidate direction from the Tibet-III Phase 1 dataset for 7.5 hours. We have found no corresponding excesses at the flux levels implied, and we have set upper limits for each candidate.

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