There are several Fragments to find in this area. The first is the Idea Circuit Fragment, which is located on the 50th floor. Go into the room in the southwest where Chocolina is and use Moogle Throw to open the chest to get Paradox Agent Type A. Head into the room to the northwest and examine the computer terminal to begin the Idea Circuit side quest. Interact with the computer for a second time to obtain the Idea Circuit Fragment.
The second Fragment in the Enigma Codex Fragment. You will have to have the Idea Circuit in order to begin this quest. Head onto the 49th floor. Grab the Paradox Agent Type C from this floor while you’re here. You can get this by heading to the neon green and blue walkway and using Moogle Throw to grab the chest located far below the bridge. Look straight down to find it. Head back up to the 50th floor and use the same computer to obtain the Enigma Codex Fragment. You should also get the Difference Engine Fragment for having the Paradox Agent Type C. Finally, you will receive the Access Key 13 item. This will allow you to reach the 13th floor in Augusta Tower 300AF.
The final hidden item, as it were, in this area is a Paradox Ending. Use the Paradox Scope to close the Augusta Tower 200AF Gate in the Historia Crux, then head up to fight the boss at the top floor of the tower. You will have to fight Proto fal’Cie Adam again, but this time he will be much stronger. You should still be able to crush him in battle, though, as your stats should be just about maxed out at this point. Destroy the Left and Right Manipulators that Adam summons to help him, then focus on killing Adam itself. By defeating Proto fal’Cie Adam for a second time, you will open up a new location in the Historia Crux. Traveling here will play the Paradox Ending and bestow upon you the Transcript: Test Subjects Fragment item and 10,000 experience points.
