Unvigilantly refers to not being watchful or attentive. There are several synonyms for this word which can be used interchangeably to convey the same meaning. Some common synonyms of unvigilantly include carelessly, negligently, inattentively, thoughtlessly, recklessly, unwarily, irresponsibly, and haphazardly. These words are often used in situations where someone is not being mindful of their surroundings or not paying attention to their actions, leading to potential dangers or mistakes. It is important to use synonyms appropriately to convey the intended meaning and tone of a piece of writing.