Illegal downloads rose sharply during the past week in the regions affected by the Time Warner Cable’s blackout of CBS channels. The file-sharing news blog TorrentFreak says piracy of the CBS summer hit Under The Dome jumped 34% during the weekend. The site says it monitored U.S. BitTorrent downloads of Monday’s episode — which TWC customers in LA, NYC, Dallas and other areas couldn’t watch — and the previous week’s and found that more people pirated the latest episode. In New York City, the relative piracy rate for Dome more than doubled from 1.3% of all U.S. downloads last week to 3% this week. TorrentFreak noted that more sampling is needed before conclusions can be reached but added that Dome is among the most-pirated shows right now. Meanwhile, TWC and CBS resumed negotiations today.