Gems

Gems are socketed into your companions equipment to add additional bonuses to the equipment's stats.

Socket
The Socket area is used to socket the gem into the equipment.

Number of sockets.
Normal = 0 Sockets
Superior = 1 Socket
Elite = 2 Sockets
Brilliant = 3 Sockets
Legendary = 4 Sockets

Synthesize
The Synthesize area is used to synthesize the gems into higher tier level giving them higher bonuses.

Synthesizing Prices

Level 1 = FREE
Level 2 = 500 BELI
Level 3 = 2,500 BELI
Level 4 = 10,000 BELI
Level 5 = 60,000 BELI
Level 6 = 300,000 BELI
Level 7 = 2,000,000 BELI
Level 8 = 30,000,000 BELI
Level 9 = 100,000,000 BELI
Level 10 = 200,000,000 BELI

GEM LIST

Red Attack Gem

Orange Attack Speed Gem

Green HP Gem

Yellow Range Gem

Teal Hit Gem

White Dodge Gem

Black Critical Chance Gem

Blue Critical Damage Gem

Purple Skill Trigger Rate Gem

Brown Skill Damage Gem

GEM MERGING

WARNING: Living Gems can only be equipped on ANCIENT equipment!

First off, what is a Living Gem? 

A living gem is a special Gem that gives the initial stats of a gem and bonus HP. The higher the level of the gem, the bigger the bonus, but the higher the merging price. *Note: GOLD is used in merging, not BELI, GOLD!

Main Gem - This is the gem you would like to turn into a Living Gem. *Note: Only Level 5 gems and above can turn into living gems.

Sacrifice - This area is used only for the sacrifice gem, as of the moment only the Yellow RANGE Gem could be used as a sacrifice. *Note: The yellow gem should also be at least Level 5.

Gem Output - This area shows the resulting gem before actually merging. (The success rate is 100%)

Advantages of a Living Gem?
Like I say most of the time. MORE HP MORE CHANCES OF SURVIVING! :D

Disadvantages of a Living Gem?
Hell of expensive! Cost's GOLD "Literally" and a lot of Beli for higher leveled gems.
(But even with all this said, still something I would want to have if I have an ancient weapon. LOL :P)

I hope this helps you guys, Good Luck! and Have Fun! :D