Additional Reward: 3500 CP
You’ll obtain this fragment automatically after defeating mutantomato.
Additional Reward: Extraordinary Egg
Requirement: Moogle throw
You can obtain moogle throw from an event that happen on this place too (riding a beast on point (2)). Go to location wriiten on my map (Extraordinary egg). You should be able to see the fragment floating near the tree (see the screenshot above). Take that fragment by using your moogle.