I relate warming up on the saxophone to warming up before lifting weight. It is vitaly important to getting your fingers (and music) moving. Additionally, it can also be a form of meditation. I use my warmup time to prime my mind to get deeply into the mechanics of my playing as well as my sound. Below is a youtube video that I put together that goes over some of the exercises that I do in the “technical” portion of my warm up. I hope that they can help you in any way.
