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The fund shall have the following powers in addition to those specifically conferred elsewhere in this article: 1. To sue and be sued; 2. To have a seal and alter the same at pleasure; 3. To make and alter by-laws for its organization and internal management; 4. With the approval of the comptroller, to prescribe a system of accounts; 5. To make rules and regulations governing the exercise of its corporate powers and the fulfillment of its corporate purposes under this article, which rules and regulations shall be filed with the secretary of state in the manner provided by section one hundred two of the executive law; 6. To make and execute contracts, lease agreements, and all other instruments necessary or convenient for the exercise of its corporate powers and the fulfillment of its corporate purposes under this article; 7. To do any and all things necessary or convenient to carry out its corporate purposes and exercise the powers given and granted to it in this article.