Fine Gael, Labour, and Fianna Fail have all suffered losses according to the Sunday Independent poll.
Water charges and the Mairia Cahill case were to the fore of the political agenda, over the past ten days, whilst this survey was being carried out by Millward Brown.
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A thousand people were questioned, resulting in a four point gain for Sinn Fein, and a two point rise for Independents.
John Drennan, Political Editor with the Sunday Independent ,says voters are showing an interest in alternative leadership.