Panel a: AIA 171 Å image (gray scale) overlaid with positive (red contours) and negative (green contours) polarities of the photospheric magnetic field taken by the HMI. Panel b: zoomed-in view of the longitude-latitude map of the radial component of the photospheric magnetic field by SDO/HMI in the high-resolution region. The blue curves (1, 2, and 3) with circles at the two ends refers to the three paths along which we inserted the flux ropes. Panel c: AIA 171 Å image and selected field lines from the NLFFF model matching the observed non-potential coronal loops. Panel d: AIA 171 Å image and comparison of the observed coronal loop (red line) traced manually and the best-fit modeling field line (pink line).