Before any reservoir improvement district is organized, a petition shall be filed in the office of the secretary of state, signed by the eligible water right holders who have water rights totaling more than 20% of the combined quantities of all eligible water rights within the proposed district as shown by a verified enumeration of the eligible water right holders and the total combined quantities of all eligible rights taken by the director of the Kansas water office. A verified copy of the enumeration shall be attached to and filed with the petition in the office of the secretary of state.