 Complete the following phrase:  The Leagues domice was not to last long, however. During the Third Macedonian War 171168 BC, the League flirted with the idea of an alliance with Perseus of Macedon, and the Romans punished it by taking several hostages to ensure good behavior, including Polybius, the Hellenistic historian who subsequently wrote about the rise of the Roman Republic. In 146 BC, the leagues relations with Rome completely collapsed, leading to the Achaean War. The Romans under Lucius Mummius defeated the Achaeans at the 