In an autonomous mobility-on-demand (AMoD) system, customers are transported by autonomously driving vehicles in an on-demand fashion. Although these AMoD systems will soon be introduced to cities, their quantitative analysis from a fleet operational and city planning viewpoint remains challenging due to the lack of dedicated analysis tools. In this paper, we introduce AMoDeus, an open-source software package for the accurate and quantitative analysis of autonomous mobility-on-demand systems. AMoDeus uses an agent-based transportation simulation framework to simulate arbitrarily configured AMoD systems with static or dynamic demand. It includes standard benchmark algorithms, fleet efficiency and service level analysis methods and a dedicated graphical viewer that allows in-depth insights into the system. Together with AMoDeus, we publish a typical simulation scenario based on taxi traces recorded in San Francisco. It can be used to test novel fleet control algorithms or as a basis to model more complex transportation research scenarios.