It's likely a misspelling of "intrigue," which has several meanings:
* To arouse the curiosity or interest of someone: This is the most common meaning. For example, "The mysterious disappearance of the scientist intrigued the local police."
* To plot or scheme secretly: This implies a sense of deception or manipulation. For example, "The ambitious politician intrigued against his rivals."
* To fascinate or captivate: This is used in a more positive sense. For example, "The intricate details of the painting intrigued me."
If you meant to use "intrigue," you should replace "intrigute" with that word.