The phrase "crossed the mind" implies a passing thought or idea. Antonyms for this phrase could include "clearly considered," "seriously contemplated," "deliberately pondered," or "comprehensively analyzed." These antonyms suggest a deeper level of thought that goes beyond a fleeting notion. Alternatively, antonyms could include "ignored," "overlooked," "disregarded," or "dismissed." These antonyms suggest a lack of attention or interest in the thought or idea. Selecting the appropriate antonym will depend on the context in which the phrase is used and the author's intended emphasis.