This is the 222nd most frequent Icelandic word.
eigi
The Icelandic word "eigi" means "not" or "no" (archaic/poetic) and can also function as an emphatic particle meaning "indeed" or "truly" in specific contexts.
Here, 'eigi' works as a negation, similar to the English 'not'.
Ég vil eigi fara út í rigningunni.
I do not want to go out in the rain.
In this sentence, 'eigi' is a verb, meaning 'owns' or 'possesses'.
Hann sagði að hún eigi hús á landi hans.
He said that she owns a house on his land.
In this case, 'eigi' expresses the absence or rejection, meaning 'did not' or 'does not'.