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Lists research upgrades up to level 400

R Lvl Faction Effect
A 1 Undead Increases the production of Undercities by 5% per assistant you own.
E 25 Elf Gain additional assistants based on the amount of Royal Exchanges you purchased.

Formula: floor((1 + 6x)0.5 - 1), where x is your Royal Exchanges Made stat.

A 120 Any Gain additional assistants based on max mana.
Formula: floor(x / 50), where x is your maximum mana.
W 120 Any Increase the production of non-unique buildings based on the amount of assistants you own.

Formula: round(1.5 * x1.5)%, where x is the amount of assistants you own.

W 150 Any Increase the production of all buildings based on the amount of assistants you own.

Formula: round(32 * x0.75)%, where x is the amount of assistants you own.

D 175 Angel Gain additional assistants based on the amount of God's hands cast.

Formula: floor(0.45 * (3x)0.6), where x is God's Hands Cast This Game.

W 175 Demon Gain additional assistants based on total amount of evil spells cast.

Formula: floor(0.75 * x0.5), where x is the amount of evil spells cast..

W 200 Any Gain additional assistants based on total time spent as Good.

Formula: floor(0.05 * x0.48), where x is your Time Spent Being Good (Total) stat.

W 205 Any Evil Increase assistant production by an additional 0.5 mana per second while Blood Frenzy is active.
S 225 Undead Increase the production of assistants based on the amount of Necropolises you own.

Formula: round(5 * x0.75)%, where x is the number of Necropolises you own.

D 250 Any Gain additional assistants based on the amount of Faction Coins found in this game.

Formula: floor(ln1.3(1 + x)), where x is your Faction Coins Gained (This Game) stat.

W 250 Any Gain additional assistants based on the amount of trophies you unlocked.

Formula: floor(x / 8), where x is the amount of trophies unlocked.

C 305 Titan Gain additional assistants based on your total time spent offline.
D 320 Any Increase assistants production based on mana regeneration.
S 375 Faceless Gain additional assistants progressively during Brainwave casts.

(10m=100, 20m=400, 24m=576)

A 375 Druid Gain additional assistants based on mana produced this game.
R Lvl Faction Effect
C 25 Angel Increase mana regeneration based on the amount of spells cast.

Formula: floor(10 * x0.3) / 10, where x is your Spells Cast (This Game) stat.

S 30 Any Increase maximum mana and mana regeneration rate based on time spent in this game.

Formula: Max Mana:floor(25 * x), Mana Regeneration:floor(75 * x0.4) / 10, where x is your Playtime (This Game) stat in hours.

A 50 Angel Increase mana regeneration based on the amount of Heaven's Domains you own.

Formula: x0.425, where x is the number of Heaven's Domains you own.

S 105 Any Increase mana regeneration based on the amount of research made.

Formula: floor(x0.5), where x is number of researches made.

D 135 Any Increase mana regeneration based on the amount of gems you own.

Formula: floor(10 * ln(1 + x) / 7.5) / 10, where x is amount of gems you own.

W 135 Any Increase maximum mana based on the number of trophies you have unlocked.

Formula: floor(1.25x), where x is the amount of trophies unlocked.

S 175 Fairy Increase mana regeneration based on the number of assistants you own.

Formula: floor(13 * x0.55) / 10, where x is the number of assistants you have.

E 250 Any Increase mana regeneration based on the amount of Royal Exchanges you purchased.

Formula: floor(10 * x0.5) / 10, where x is your Royal Exchanges Made stat.

A 270 Any Increase mana regeneration based on the amount of Faction Coins found in this game.
Formula: round(1.5 * log(x))%, where x is your Faction Coins Gained (This Game) stat.
D 275 Druid Increase mana regeneration based on your current mana.
E 275 Titan Increase mana regeneration based on your Royal Exchange Bonus.
D 290 Any Increase mana regeneration by 1 m/s for each discovered artifact.
A 300 Faceless Increase mana regeneration based on mana produced in this game.
S 400 Any Increase maximum mana based on the highest amount of spells cast in a single game.
R Lvl Faction Effect
D 25 Undead While Night Time is active, increase the production of all buildings based on offline production bonus.

Formula: round(0.05 * x0.5)%, where x is your offline production bonus.

A 25 Demon Reduces Hellfire Blast duration by 16 seconds, reduces its mana cost by 200 and multiplies its effect by x7.
A 30 Fairy Increases duration of Fairy Chanting based on the amount of Enchanted Fields, Inns and Blacksmiths you own and provides a progressively increasing bonus to the spell.

Production Increase Formula: $\lfloor 10 \lceil x^{{1.5}} \rceil \rfloor$, where x is how many seconds the spell has been active. Duration Increase Formula: $\lfloor{{\frac x {{1500}}}}\rfloor$ seconds, where x is the number of Farms, Inns, and Blacksmiths you own.

S 50 Goblin Each time you cast a spell you also cast free Tax Collections based on the amount of Goblin Banks you own.

Formula: floor(x /650), where x is the number of Goblin Banks you own.

E 145 Any Increase Tax Collection reward to 60 seconds of production.
A 150 Any Whenever you cast a spell, increase the production of your most productive building based on the amount of mana produced in this game for 20 seconds. If another spell is cast while this effect is active, it is restored to full duration.

Formula: round(0.7 * x0.6)%, where x is your Mana Produced (Total) stat.

W 180 Any Each building counts 15 times for Call to Arms purposes.
D 200 Any Decrease the cost of all spells by 20% and increase their duration by 20%.
D 205 Good Increase Holy Light duration by 110 seconds.
W 205 Evil While Blood Frenzy is active, each assistant produces additional 0.5 mana per second
S 215 Any Increase Spiritual Surge effect based on the amount of active spells.

Formula: (150 * x)(y+1), where x is active spells and y is ascension. (does not include Spiritual Surge)

C 225 Elf Each Elven Training Grounds counts as 200 buildings for Call to Arms purposes.
W 225 Angel Holy Light empowers Heaven’s Domains based on Holy Light activity time in this game.
D 245 Any Reincarnations count twice for Spiritual Surge.
S 300 Titan While Lightning Strike is active, all non-target buildings have their production increased based on the amount of Lightning Strikes cast in this game.
C 300 Druid Grand Balance hits the two least productive buildings.
D 330 Any Double the duration of all faction spells.
S 375 Faceless Brainwave also provides progressively more assistants over its duration.

Formula: floor(1.15 * ((x/30+y)/60)2), where x is how many minutes the spell has been active.

C 375 Titan Olympian Halls are always hit by Lightning Strike in addition to the primary target. Olympian Halls can no longer be a primary target.
Faction Coin Find Chance
R Lvl Faction Effect
S 50 Goblin Each time you cast a spell you also cast free Tax Collections based on the amount of Goblin Banks you own.

Formula: floor(x /650), where x is the number of Goblin Banks you own.

C 105 Any Increase the chance to find Faction Coins based on the amount of Unique Buildings you own.

Formula: $floor({1.5}{x^{0.8}})%$, where x is the number of Unique Buildings you own.

C 250 Any Produce additional Faction Coins based on total time (in minutes) spent offline.
Formula: floor(150 * x0.8), where x is your Time Spent Offline (Total) in minutes stat.
C 400 Any Increase the chance to find Faction Coins based on the amount of Faction Coins found in this game.

Formula: floor(ln((1+x))2.2)%, where x is your Faction Coins Gained (This Game) stat.

C 520 Dwarf Increase clicking reward for Diamond Pickaxe based on the amount of Dwarven Forges you own.

Also increase Faction Coin find chance bonus of Diamond Pickaxe based on the amount of Dwarven Forges you own.

Formula: Clicking Reward: 2.5 * x0.3%, Diamond Pickaxe: 20 * x0.4%, where x is the number of Dwarven Forges you own.

D 50 Elf Increase your chance to find Faction Coins based on the amount of Elven Training Grounds you own.
Formula: floor(3 * x0.85)%, where x is the number of Elven Training Grounds you own.
D 150 Any Produce additional Faction Coins based on the amount of research made.

Formula: floor(2 * x1.25), where x is the amount of research made.

E 30 Any Increases Faction Coin find chance and Royal Exchange bonus based on time spent in this game.

Formula: Faction Coin Chance:floor(10 * x)% Royal Exchange bonus:floor(7 * x0.6)%, where x is Playtime (This Game in hours).

A 305 Any Increase your chance to find Faction Coins based on the amount of spells cast in this game.

Formula: floor(ln2.75 (1 + 2x))%, where x is your Spells Cast (This Game) stat., or approximately

Formula: floor((ln(x) + 0.69)2.75)%, where x is your Spells Cast (This Game) stat.

W 50 Undead Increase Faction Coin find chance based on the amount of Undercities you own.

Formula: (floor(6.5x0.65))%, where x is the number of Undercities you own.

W 275 Faceless Increase Faction Coins find chance based on the highest amount of assistants you had in a single game.
Also increases Faction Coin find chance by a multiplicative 50%.

Formula: floor(125*x&0.75), where x is your Assistants (Max) stat.