The phrase "go down the line" typically means to adhere to a certain order or sequence. However, there are several antonyms for this phrase, which imply breaking away from convention and structure. For instance, "go off the rails" denotes going off course or going against the norm. Similarly, "go off the beaten path" suggests venturing into new or unconventional territories. Another antonym is "go against the grain," meaning to buck the trend or go against the established order. Lastly, "break the pattern" implies consciously avoiding repetition and monotony. In essence, these antonyms signify a deviation from routine or tradition, emphasizing the importance of creative thinking and innovation.