I have quick question about contracted εω-verbs. I am trying to figure out the paradigm for κοσμεω, I have found all forms and verified them against Perseus word study tool except for first person plural. It is κοσμεομεν without the contraction therefore it should be κοσμουμεν, ε+ο=ου right? So why is it so that I get no matches when I search for it with Perseus word study tool (http://www.perseus.tufts.edu/hopper/morph?l=kosmoumen&la=greek)?
I think it's because some forms simply exist "in theory", only within the verb paradigm (at least in terms of the works that are accessible to us today). Although I did find one instance of 1st pl. as compound and one instance as non-compound but only in later writers.
Perseus is a wonderful resource, but hosts only a very small fraction of Greek literature. A search of the Thesaurus Linguae Graecae finds 11 occurrences in 8 authors, none earlier than the 2nd century AD or later than the 12th century.