The descriptions for the Electronic Supplementary Information files are as follows. sup_info.pdf : main supplemental file containing figures, captions, and descriptions of supplemental materials. unentangled.avi : movie of an initially unentangled molecule stretching in an elongational field of De=2. The movie is in real time with a frame rate of 30 fps. selfentangled.avi : movie of an initially self-entangled molecule stretching in an elongational field of De=2. The movie is in real time with a frame rate of 30 fps.