I'm a native speaker and it's just occurred to me that this is a strange irregularity:
"The work is incomplete." < Fine
"The work is uncompleted." < Less common but still sounds "correct" to my ear
"The work is incompleted or uncomplete < Both of these sound wrong.
Are there rules (presumably based on the etymological root of the word) governing when we use "un" vs "in", and how does it apply to "complete" here? Why don't we say "incompleted" or "uncomplete"?
Or is it just one of those arbitrary things that isn't supposed to make sense? If there's a difference in meaning between "incomplete" and "uncompleted" I can't think what it might be…