Antonyms for the phrase "conveyed the impression" would be phrases that indicate a lack of communication or understanding, or even a false suggestion. For example, "failed to communicate the notion" or "misrepresented the idea" show a failure to convey an impression accurately. Similarly, "negated the message" or "contradicted the appearance" could suggest that what was conveyed was not actually true or intended. Overall, antonyms for "conveyed the impression" would indicate a failure to communicate or a mistranslation of the intended message, rather than an accurate representation of it.