Okay, first we have to understand that we are all geographically seperated. Not every water treatment plant in America uses the same processes. Apparently, some nasties have developed a resistance to the chlorine that is added to tap water, so they bound the chlorine with ammonia to make chloramines, which work better for disinfectant. But when you put chloramines in an open container, the clorine starts to dissipate, leaving just the ammonia. Zeolite will absorb this, but it is far better to have a fully cycled tank. To the op, I strongly recomend that you stop feeding, that will help lower ammonia, maybe add a zeolite pillow, and continue to do the water changes, but put the ammonia neutralizing agent in the water before adding it to the tank. As noted before, these just bind the ammonia, I don't know what, but apparently it removes it's toxicity. So you will still see the readings.
I also strongly recomend that you observe your fish. Ammonia toxicity is usually manifested by gasping at the surface, because there is gill damage. If your fish are acting normal, just be patient and let the often misunderstood cycle get itself going.
I don't have ammonia in my tap. Or chlorine, or chloramines. It's a well.