You could do this the hard way of actually solving the Jindosh riddle (it's randomized for every play through with many, many combinations to brute force). For those who want a fun try at it, gamecrate.com created this Logic Puzzle helper: goo.gl/9JfUy8
OR!
Create a quicksave. Kidnap/kill one of the leaders (I did the overseer) and take his body to the other side. Deliver the body, receive the answer to the door, and revert the save. Go back to the door and input the code. Eureka! You're officially a genius (by beating the system)