The legs are the whole job
The coil body just stores the twist. The legs are what touch your machine, and every bit of torque arrives through them. Make a leg two millimetres too long and the spring pushes on a different spot with a different force. Bend it too tight and it cracks there first.
The coiler winds the body. The legs are formed by hand, on Paulo's bench, one at a time against a fixture made for your job.