The autopsy report for the University of Kentucky cheerleader Laken Snelling 's infant has been completed ... but investigators are still left with questions about how the baby died.

A report from the Fayette County Coroner's office obtained by TMZ reveals the cause of death of the baby boy -- who died on August 27 -- is inconclusive and that "extensive microscopic analyses are essential to determine the cause and manner of death." Facebook/Jefferson County Fairest of the Fair

Coroner Gary W. Ginn confirms the investigation remains open and his office is "conducting a thorough and methodical death investigation to ensure all facts are carefully considered."

He adds ... "I understand the community's concern and sensitivity surrounding the death of a child. ... Please keep the fami

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