Here is the original thread to give credit to the author. I've just copy pasted his thread with hyperlinks.

http://forum.square-enix.com/ffxiv/threads/92169-Binding-Coil-of-Bahamut-Loot-Tables

Turn 1
1. Allagan Round Shield
2. Allagan Circlet of Casting (LEFT)
3. Allagan Gloves of Healing
4. Allagan Gloves of Aiming*
5. Heavy Allagan Armor (LEFT)
6. Allagan Tassets of Maiming
7. Allagan Cuirass of Maiming (LEFT)
8. Allagan Trousers of Maiming (LEFT)
9. Allagan Trousers of Striking (LEFT)
10. Heavy Allagan Flanchard
11. Allagan Earrings of Healing
12. Allagan Earrings of Maiming (RIGHT)
13. Allagan Choker of Fending
14. Allagan Ring of Striking (LEFT)
15. Allagan Ring of Casting (RIGHT)
16. Allagan Bracelets of Aiming (RIGHT)
17. Allagan Bracelets of Striking (LEFT)
18. ???



Turn 2
1. Allagan Circlet of Healing
2. Allagan Visor of Aiming
3. Allagan Tunic of Casting (LEFT)
4. Allagan Gauntlets of Striking (RIGHT)
5. Allagan Gauntlets of Maiming*
6. Allagan Gloves of Casting (RIGHT)
7. Allagan Plate Belt (LEFT)
8. Heavy Allagan Cuisses (RIGHT)
9. Allagan Boots of Casting*
10. Allagan Boots of Healing
11. Allagan Earrings of Aiming
12. Allagan Earrings of Fending*
13. Allgan Earrings of Striking (LEFT)
14. Allagan Choker of Maiming (RIGHT)
15. Allagan Choker of Healing (LEFT)
16. Allagan Bracelets of Casting (RIGHT)
17. Allagan Ring of Fending
18. ???


Turn 3:
-None


Turn 4
1. Allagan Visor of Striking
2. Allagan Visor of Maiming (WALL)
3. Allagan Tunic of Healing (CENTER)
4. Allagan Cuirass of Aiming (WALL)
5. Heavy Allagan Gauntlets
6. Allagan Rope Belt of Healing (CENTER)
7. Allagan Belt of Casting (CENTER)
8. Allagan Breeches of Casting (WALL)
9. Allagan Sollerets of Striking (WALL)
10. Allagan Sollerets of Aiming (CENTER)
11. Allagan Choker of Aiming (CENTER)
12. Allagan Ring of Maiming (WALL)
13. Allagan Ring of Healing(WALL)
14. Allagan Earrings of Casting (CENTER)
15. Allagan Bracelets of Healing (CENTER)
16. Allagan Bracelets of Fending*
17. Allagan Belt of Striking*
18. Allagan Choker of Striking (WALL)



Turn 5
1. Allagan Spear
2. Allagan Battleaxe
3. Allagan Grimoire of Healing
4. Allagan Baghnakhs
5. Allagan Cane
6. Allagan Blade
7. Allagan Composite Bow
8. Allagan Grimoire of Casting
9. Allagan Scepter
10. Allagan Bracelets of Maiming
11. Allagan Sollerets of Maiming
12.
13.
14.
15.
16.
17.
18.

Unknown Locations:
1. Allagan Cuirass of Striking
2. heavy Allagan Circlet
3. Allagan Pants of Healing
4. Allagan Pants of Aiming

6. Allagan Choker of Casting
7. Allagan Ring of Aiming
8. Ancient Shield WHM
9. Ancient Buckler BLM
10. Allagan Belt of Aiming