A 65-year-old male presents to clinic with chronic low back pain ongoing for years. The patient has a history of moderate degenerative disc disease from L2-S1. The patient states that over-the-counter medication has only provided mild relief. Vitals are within normal limits. Patient’s strength is 5/5 in bilateral lower extremities with normal sensation to light touch and pinprick. Osteopathic structural examination reveals chronic tissue texture changes of lumbar paraspinal musculature and negative straight leg test bilaterally. Gait examination reveals patient with Trendelenburg gait. Which of the following nerves supplies the muscle causing this gait pattern?