CHICAGO — Seven weeks ago, officials at Chicago’s federal courthouse used brown butcher paper to cover up large hallway displays highlighting infamous political corruption cases, featuring names like Walker, Ryan, Blagojevich and Vrdolyak. On Thursday, a federal jury added another name to that inglorious roster: Edward M. Burke. In a verdict that will reverberate through city politics, Burke was convicted of racketeering conspiracy and a dozen other counts for using the clout of his elected office to try to win private law business from developers. The nearly clean sweep of guilty verdicts cap…