There seems to be some dispute between different verb lists as to whether there should be an accent on the first omega of τρώω or not
There should be an accent on the first omega of τρώω. Τρωω is wrong.
On the other hand, τρως doesn't have an accent, because it is a one-syllable word.
This always gets me. To me, dinner and lunch are the same thing but usually referred to as dinner. I get a dinner break at work. Oh, well :(