And as we go forward in history, we're gonna see different weights on these different dimensions for how important they are for empire formation. Especially as we get closer and closer to modern times, technology increases as a factor in terms of creating an empire. Ideology plays a significant role in empires based on religion, but we also have empires based on economic ideology, communism versus capitalism, and on political ideology. And does an empire have to be strict control? Can you have a cultural empire without necessarily having direct control over people? So I will leave you with these questions. They're fascinating questions to think about within the context of these empires, but also as we study all of world history.