Agree. I've personally seen coyotes leaping in one bound over my 5-foot chain link fence.
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Shoot the coyotes with a 22 hollow point
Just an idea but I used to do a lot of trapping and it is very effective at removing predators. If you're not familiar with leg hold and cable restraint/snare sets (where legal) there'll be a bit of a learning curve, but if you have some experience or can contact local trappers I'm sure they'll be happy to help get you up and running, and may even take care of the problem for you. Like I said, don't know if that's the best course of action in your case but I just wanted to mention it in case you haven't thought about it.
We live in rural Nevada and packs of coyotes made their way through our yard each night as evidenced by tracks and their close by howling and neighbors spotting them. We got 4 PredatorGuards online and a night camera and the pack now howls at the back of property but does not come in. These lights don't seem to bother our cats as evidenced by night photos of them investigating the camera. Won't do any good in the daytime but they have been working nights without fail and no poultry losses. Good reviews on Amazon even though they aren't selling them right now.
Not motion lights. Just solar powered flashing red eyes that are set at predator eye level. I suggest searching "predatorguard" on Amazon and reading the reviews. They charge in the daytime but only work at night. I thought it was hokey until we used them and found out that they really work! They do not work to deter domestic dog attacks and must be set up as a perimeter.