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When you reach a certain level and have obtained gears that allow gems to be equipped, these gems give you stat boosts.

All attribute stats: Str, Dex, Int, Agi , Luk, Sta

Gem synthesis: Obtain 3x same attribute gems (e.g 3x Level 1 Str gems can be fused to 1x Level 2 Str gem)

Attribute bonuses per level of gems as follows:
Gems Bag
Level of Gem Attribute Bonus Zeny required to fuse to respective levels L1 gems needed to get appropriate gem
1 +3 - 1
2 +10 10000 3
3 +30 40000 9
4 +80 140000 27
5 +170 420000 81
6 +310 1050000 243
7 +500 2100000 729
8 +750 4200000 2187
9 +1100 16800000 6561
10 +1600 67200000 19683

Slot number for equips is as follows (Not confirmed):

Slot Item level (ilevel) Rarity
1 Lv 74 Purple
2 Lv 124 Purple

3rd slot is only available on Red rarity equips AKA legendary slot, only for legendary gems (upcoming).