I had been watching this Alligator as he floated in the water with his full back sticking up. Usually just see the head is out of the water unless they are actively using their tail to swim. He was staying in place.
I suspected he might be profiling, basically showing off, to either impress a female or warn off other males. And wham, he smacked the water with his head.
Expecting more, I waited, but that was it. There are dozens of large Alligators in this immediate area and evidently they were not impressed.