Equation

A term that appears in Paradise Lost. The passcode used mostly by Angels and Dust Angels to access and utilize Quintessence. By interfering with Gaia's ley lines, they can use the path to draw out the fifth element from higher dimensions of either Heaven or Abyss.

Even though the end result might appear magical, it is truly a work of scientific genius of Nerose Satanael.

## List of Equations

### Angel

Due to the fact that Angels are free of Sin, they can use the Quintessence from Gate of Heaven, though they require a permission from their master, Satanael. Hence,

* Enoch:
	+ **Baraqiel**: Create claws in the hands to tear apart the opponents, it can decapitate up 50 peoples at the same time.
	+ **Samyaza**: Wings of photon that turn anything that touches it into dust. Flaps of it be able to bounces of any projectile.
	+ **Amaros**: Opponent's body disperse inside-out like a ballon, without any pain or impact.
	+ **Azazel**: Bends and distorts barriers. Can also form beams of white light which can be fired off.
	+ **Sariel**: Golden chains of photon, be able to halt Nacht for 3-5 seconds.

* Paradise Lost:
	+ **Uriel**: Compresses hundreds of billions of gravel into a pseudo-sun several tens of meters in diameter. Its heat rivals that of the real sun and can emit solar flares to incinerate the target.
	+ **Raphael**: Creates a tornado that tears space apart, throwing the target to another plane. The opened space is then closed, shrinking the world in the process.
	+ **Michael**: Summons a powerful energy blast that capable of consuming anything in its path.
	+ **Netsiv Melakh**: A powerful equation capable of cleansing Sin and that had destroyed the Old Sodom.

* Baraqiel
* Sariel
* Raphael
* Uriel
* Gabriel
* Astaroth
1/6
* Solomon:
	+ **Astaroth**: Be able to see past and future of the target and turning both into primary particles that transcend space-time. Going back to the past and destroy its very root of existence. Ast used this equation on Satanael to send him back in time and overthrown God.

### Demons

Unlike Angels, Demons don't require any permission. Instead, they access to their very own Sin. Hence,

* **Belial**:
	+ **Megiddo of Belial**, also known as **Flames of Worthlessness**, releases flames that can reduce the opponent to nothingness, destroying their very Souls. This is a direct manifestation of Muzan's Law, thus should also work at a transcendent, metaphysical level. Making this his most powerful ability, and one of the most powerful abilities in the Second Heaven.

* **Beelzebub**, a power to control atmosphere and poisonous miasma. Many of its application can be employ such as
	+ Creating an plasma canon out of miasma.
	+ Cause a corrosive substance to fall from the sky, being potent enough to distort the atmosphere as it falls.
	+ **Gogmagog**: Most powerful Beelzebub's Sin. First, engulfs the opponent with a noxious cloud of miasma formed from every harmful substance known to man before and compressing it on around them, then summons a horde of locusts that are able to tear apart the very souls of their victims, thus completely eradicating them.

* Megiddo of Belial
* Beelzebub
* Lucifer
1/3
* **Lucifer**, the most powerful equation of all, surpassing even Judecca. However as a pay-off, it requires a tremendous calculation. Even Satanael needs some amount of time to bring it out.
	+ **Dawn of the Morningstar**: Its ability is unknown, but was said to far surpass that of Belial.