Before revision:  We present a conjectural list of inequalities , which are satisfied by a  profile if and only if it is manipulable by a coalition Coal_{\mathcal{A_k} (of members of electorate who prefer A_k over the winner).
After revision:  For any such rule and any number of alternatives, we introduce a new approach allowing us to characterize the list of inequalities , which are satisfied by a profile if and only if it is manipulable by a coalition Coal_{\mathcal{A_k} (of members of electorate who prefer A_k over the winner).