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Fragment 1 – Gogmagog Fragment Alpha – Obtained through the story upon defeating Gogmagog for the first time.
Fragment 2 – Gogmagog Fragmebt Beta – Obtained through the story upon defeating Gogmagog for the second time.
Fragment 3 – Heart Prism – Obtained by doing the quest to find medical supplies for a lady on the beach near the city. The supplies are inside an item box up in the hills. Bring them back to her to receive this Fragment. The 3 on the map indicates the location of the supplies.
Fragment 4 – Graviton Core Alpha – Obtained as part of a story quest. The quest begins in Academia 4XX. Hope will ask you to find the graviton cores. The first is found on a small metal pad close to the time gate. Use Mogs ability to bring the fragment into synch. The 4 on the map indicated the location of this fragment.
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Fragment 1 – Cartesian Board – On the far right of the map, on the raised piece of land is an out of synch box. It is behind the wood. Synch it with Mog, then toss him back there to grab it. The 1 on the map indicates its location.
Fragment 2 – Laplacian Board – Walk to the bottom left corner of the map. Hug the wall and Mog will spot something. The box is out of synch, floating a little ways out of your reach. Synch it, toss Mog and acquire this Fragment. The 2 on the map shows its location.
Fragment 3 – Hope's Message – Inside an out of synch chest on the left area of the map you will find an item along with this Fragment. The 3 on the map indicates the items location.
Fragment 4 – Noel's Message – Return after beating the game and walk to the far left side of the map to see a floating crystal. Touch it to receive this Fragment. The 4 on the map indicates its location.
Fragment 5 – Serah's Message – Return after beating the game to find this. It is just to the left of the log you jump off when exiting the time gate on the right side of the map. The 5 on the map marks its location.
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Fragment 1 – Transcript : Beneath A Timeless Sky – Activate your Paradox skill and lock the Academia 4XX gate. Enter and go through as you normally would of. Give Alyssa the cores, then travel through the gate. Complete the Yeul sequence and get to the Caius fight. Kill this new version and once you do you will unlock this new zone. Travel there to receive a scene and this Fragment.
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Fragment 1 – Vanille's Fruit – After talking to Vanille and Fang during the dream sequence, look around the crater for this Fragment before leaving the zone.
Fragment 2 – Fang's Crown – After talking to Vanille and Fang during the dream sequence, look around the crater for this Fragment before leaving the zone.
Fragment 3 – Transcript: Fate And Freedom – Activate your Paradox Scope skill and redo the dream sequence. When Lightning asks you to stay with her say yes to receive this Fragment.