Alligators are cold-blooded. They cannot generate their own heat.
Instead, they take on the temperature of their environment.
Notice in the infrared images, how the alligator is cool compared to the
warm-blooded human holding it. The alligator's temperature is close to
room temperature. Notice also how cold the alligator's eyes are.
In the wild, alligators will adjust their body temperature by entering water
to cool off, or by basking in sunlight to warm up.