Quadratus is a 
Vladof Heavy Weapon
Its special effect is Four of a Kind.
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How to Unlock The Pearlescent Quadratus Vladof Heavy Weapon
Weapons
Overview
How To Unlock
Unlock Location:
- Progress through the (FL4k And The Last Resort) DLC until reaching the Boss
Gutslinger in a Digi-Rift (World Event)
Farm Method:
- Find a Digi Rift Event and go inside.
- Defeat Gutslinger Digi-Rift Boss to get a chance at the Quadratus.
- Repeatedly defeat Gutslinger until the Quadratus drops.