SGR 0526-66 REPRESENTS A RARE OPPORTUNITY FOR THE STUDY OF THE LONG-TERM COOLING AND STRUCTURAL EVOLUTION OF A MAGNETAR AFTER ITS CONSPICUOUS OUTBURSTS. THE NATURE OF THE PROGENITOR STAR TO CREATE THIS MAGNETAR MAY ALSO BE STUDIED DIRECTLY THROUGH THE HOST SUPERNOVA REMNANT N49 IF THIS SGR IS INDEED ASSOCIATED WITH N49. THE ORIGIN OF ITS X-RAY EMISSION IN THE QUIESCENT STATE A KEY COMPONENT FOR SUCH STUDIES IS ELUSIVE. OUR APPROVED NUSTAR OBSERVATION OF SGR 0526-66 IS A UNIQUE OPPORTUNITY TO REVEAL THE SPECTRAL NATURE OF THIS MAGNETAR'S X-RAY EMISSION. WE REQUEST A FUNDING SUPPORT TO PERFORM OUR SPECTRAL DATA ANALYSIS OF OUR NUSTAR OBSERVATION OF SGR 0526-66.