For some reason the desmos engine doesn't do mod(x,3)=0, perhaps it's graphing an infinately small point. If you allow the value of the modular function to be less than a small number, say, mod(x,3)<0.01, then you will see the points you expect.
Verbatim is defined as an exact repetition without changing the words. An example of verbatim is when you quote someone exactly without changing anything. word for word; in exactly the same words. Origin of verbatim.
Sensical is in fact a valid antonym for nonsense. It is a word, and you can use it. It is in the Oxford English Dictionary. It's use is traced back to 1797. It is equated to sensible..