the spinal column from below the lumbar vertebra 3 (L3).

L3 supplies many muscles, either directly or through nerves originating from L3. They may be innervated with L3 as single origin, or be innervated partly by L3 and partly by other spinal nerves. The muscles are:
*quadratus lumborum (partly)
*iliopsoas (partly)
*obturator externus (partly)