"At swords points" is an idiomatic phrase used to describe a situation where two opposing entities are at odds with each other. While its meaning is quite clear, there are several other words and phrases that can be used instead of "at swords points." One such synonym is "at loggerheads," which means to be in a disagreement or dispute. "At odds" is another alternative that implies a disagreement or conflict. Additionally, "opposite sides" and "at opposite poles" can also be used to describe a situation where two entities have opposing views or beliefs. Overall, there are numerous ways to convey the idea of discord or conflict between two opposing entities, and these synonyms provide a more varied vocabulary for expressing this concept.