This page lists research upgrades by effect.
Also available sortable by Faction, Type and Effect.
Gold Production Edit
Click Bonuses  

R  Lvl  Faction  Effect 
C  120  Any  Increase clicking reward based on the amount of gems you own.
Formula: $ round(20 * \log(1 + x))% $ where x is your current number of gems. 
C  330  Any  Increase clicking reward based on the amount of research made.
Formula: $ round(145 * x ^{0.38})% $ where x is researches made. 
C  590  Elf Dwarf  Increase clicking reward based on your chance to find Faction Coins, (if your FC chance is 10k%, this will be 10k%). Autoclicks the treasure 10 times per second. 
D  55  Any  Increase clicking reward based on spell cast in this game.
Formula: $ round(3.5 * x^{0.8})% $ where x is your Spells Cast (This Game) stat. 
A  200  Any  Increase clicking reward based on time spent in this game.
Formula: $ round(c * x^{0.75})% $ where x is your Playtime (Total) in seconds stat and c is $ 0.07(2^{0.75}) $ which is approximately 0.118. 
W  320  Any  Increase your clicking reward based on the amount of Excavations you made.
Formula: $ round(10 * x^{0.75})% $ where x is the amount of excavations made. 
W  330  Any  Increase your click reward based on the amount of trophies you unlocked.
Formula: $ round(2.5 * x)% $ where x is the amount of trophies unlocked. 
W  560  Any  Increase clicking reward based on the amount of clicks made in this game.
Formula: $ 5 * x^{0.45}% $ where x is your Treasure Clicks (This Game) stat. 
Assistant Production  

R  Lvl  Faction  Effect 
S  225  Undead  Increase the production of assistants based on the amount of Necropolises you own.
Formula: $ round(5 * x^{0.75})% $ where x is the number of Necropolises you own. 
D  320  Any  Increase assistants production based on mana regeneration.
Formula: $ round(20 * x^{0.85})% $ where x is your Mana per Second stat. 
A  495  Dwarf  Increase assistants production based on the amount of research made.
Formula: $ 120 * x^{0.42}% $ where x is the Amount of Researches made. 
W  590  Demon Drow  Increase assistants production based on total time spent being Evil.
Formula: $ 8 * x^{0.8}% $ where x is your Time Spent Being Evil stat. 
Gem Production  

R  Lvl  Faction  Effect 
C  175  Goblin  Increase the production bonus from gems based on the number of buildings you own.
Formula: $ floor(x / 2000)% $ where x is your Buildings Owned (This Game) stat. 
C  340  Any  Increase production bonus from gems based on the amount of Rubies you collected.
Formula: $ 10 * x% $ where x is your Rubies Gained (All Time) stat. 
C  500  Any  Increases production bonus from gems based on the amount of excavations you made.
Formula: $ 3 * x^{0.35}% $ where x is the amount of Excavations you made. 
C  1300  Dragon  Increases production bonus from gems based on maximum mana.
Formula: $ 2 * x^{0.4}% $ where x is maximum mana. 
E  320  Any  Increase production bonus from gems based on the gems you have in your abdication treasury.
Formula: $ floor(0.45 * log(1+ x))% $ where x is the amount of gems you will gain upon abdication. 
E  400  Any  Increase production bonus from Gems based on your Royal Exchange bonus.
Formula: $ floor(x^{0.95})% $ where x is your Royal Exchange Bonus. 
E  495  Drow  Increase the production bonus from gems based on the amount of Spider Sanctuaries you own.
Formula: $ (1.2 * x^{0.8} / 20)% $ where x is the number of Spider Sanctuaries you own. 
A  250  Any  Increase production bonus from gems based on the amount of research made.
Formula: $ floor(x^{0.9} / 25)% $ where x is the amount of research made. 
Building Production Edit
General Building Production  

R  Lvl  Faction  Effect 
S  10  Angel  Increase the production of all other buildings by 110% per Heaven's Domain you own. 
S  175  Elf  Increase production of all buildings by 36,000% for 20 seconds each time you trigger Elven Luck and increase the chance to trigger it by an additional 24%. 
S  200  Any  Increase the production of all buildings based on your current mana (the less mana, the better bonus).
Formula: $ round((100x)^{1.75})% $ where x is percentage of current missing mana.(at 0 mana x is 100). 
S  270  Any  Increase the production of all buildings based on your bonus from Gems.
Formula: $ round(1.15 * x^{0.75})% $ where x is your gem bonus. 
S  305  Any  Increase the production of all buildings by a fraction of your offline production bonus.
Formula: $ 2.5 * \log(1+x)^{2.5} $ where x is your preAscension offline multiplier. 
S  330  Any  Increase the production of all buildings based on the number of active spells you have. You must have at least 3 active spells to generate a bonus.
Formula: $ 375 * 2^x% $ where x is the number of spells currently active. 
S  460  Any  Increase the production of all buildings based on the times you cast your faction spell in this game.
Formula: $ 15 * x^{0.8}% $ where x is Faction Spells' Cast (This Game) (Vanilla + Prestige spell count). 
S  545  Any  Increase the production of buildings based on mana produced in this game, depending on their tiers. Gives better bonuses for lower tiers.
Formula: $ (0.1 * x^{0.45} * T^2)% $ where x is Mana Produced (This Game) stat, and T is the building tier, starting at 11 for Farms and decreasing to 1 for Halls of Legends. 
C  135  Any  Increase the production of all buildings based on your total number of clicks.
Formula: $ (\ln(1 + x))^{2.75}% $ where x is your Treasure Clicks (Total) stat. 
C  150  Any  Increase the production of all buildings based on the amount of research made.
Formula: $ round(125 * x^{0.38})% $ where x is number of researches made. 
C  1500  Titan Dragon  Increase production for all buildings based on total time spent as Neutral.
Formula: $ (1.5 * x)^{0.7}% $ where x is your Neutral time (this R) stat in minutes. 
C  3000  Mercenary  Increase the production of all buildings based on the amount of artifacts you own.
Formula: $ 1.65 * x^{1.65} $ where x is artifacts. 
D  10  Demon  Increase the production of all other buildings by 110% per Infernal Realm you own. 
D  25  Undead  Increase the production of all buildings based on your offline production bonus.
Formula: $ 2.75 * \log(1 + x)^{2.75} $ where x is your offline production bonus. 
D  260  Faceless  Increase the production of all other buildings by 95% per Sunken Cities you own. 
D  400  Any  Increase the Production of a random building by x250. Target changes every 2 minutes. While offline, increase the production of all buildings by x75. 
D  480  Any  Increase the production of all buildings based on the difference in time spent with the three alignments. A smaller difference produces a higher bonus. Despite the effect text, this upgrade will increase production by 0% so long as there is an alignment you have not spent any time as, no matter how small the difference.
Formula: $ 100000 * (tmin / tmax)^{1.5}% $ where tmin and tmax are the shortest and longest Time Spent Being Alignment (Total) stat. 
D  1275  Any  Increase the production of each building by 0.3% per building of the same type. 
E  10  Undead  Increase the production of all other buildings by 95% per Undercity you own. 
E  150  Any  Increase the production of all buildings based on the amount of gold you own.
Formula: $ round( (\ln(1 + x)) ^{1.25} )% $ where x is the amount of gold you own. 
E  200  Any  Increase the production of all buildings based on your percentage of trophies unlocked.
Formula: $ round(0.0003 * (100 * x)^{3.35}) $ where x is trophies_{unlocked} / trophies_{max}. 
E  260  Druid  Increase the production of all other buildings based on the amount of Stone Pillars you own.
Formula: $ (100*x) $ where x is the number of Stone Pillars you own. 
E  330  Any  Increase the production of all buildings based on the amount of artifacts you found.
Formula: $ round(50 * x^{1.1})% $ where x is the amount of artifacts found. 
E  350  Faceless  Increase the production of all buildings based on the amount of Reincarnations you made.
Formula: $ round(2.5 * x^{2.25})% $ where x is the amount of times you reincarnated. 
E  410  Dwarf  Increase production of all other buildings by 85% per Dwarven Forge you own. 
A  10  Goblin  Increase the production of all other buildings by 85% per Goblin Bank you own. 
A  105  Any  Increases the production of buildings based on the amount of Faction Coins found this game.
Formula: $ round(0.7 * \ln^3(1 + x))% $ where x is your Faction Coins Gained (This Game) stat. 
A  135  Any  Increase the production on all buildings based on total time spent.
Formula: $ round(c * x^{0.7})% $ where x is your Playtime (Total) in seconds stat and c is 0.03(2^{0.7}), which is approximately 0.049. 
A  175  Any  Increase the production of all buildings based on the amount of times you Reincarnated.
Formula: $ round(2.5 * x^{2.25})% $ where x is the number of times you reincarnated. 
A  330  Any  Increase the production of all buildings based on time spent playing as other factions.
Formula: $ round(0.05 * x^{0.7})% $ where x is time spent as other factions. 
A  410  Drow  Increase the production of all other buildings by 95% per Spider Sanctuary you own. 
A  545  Any  Increase the production of all buildings based on the amount of rubies you own.
Formula: $ 10 * x^{1.05}% $ where x is your Rubies Gained (All Time) stat. 
A  590  Undead Drow  Increase the production of all buildings based on mana produced and the percentage of offline time spent in this game.
Formula: $ (0.045 * x^{0.45} * P)% $ where x is your Mana Produced (This Game) stat and P is the percentage of your Time Spent Offline for this game. 
A  1200  Dragon  Increase the production of all other buildings by 0.35% per Iron Strongholds. 
W  10  Elf  Increase the production of all other buildings by 90% per Elven Training Grounds you own. 
W  25  Goblin  Increase the production of all buildings based on the amount of Tax Collections cast in this game.
Formula: $ round(5 * x^{0.6})% $ where x is Tax Collections Cast (This Game). 
W  150  Any  Increase the production of all buildings based on the amount of assistants you own.
Formula: $ round(32 * x^{0.75})% $ where x is the amount of assistants you own. 
W  260  Titan  Increase the production of all other buildings by 100% per Olympian Hall you own. 
W  350  Druid  Increase the production of all other buildings based on the production of your Stonehenge Circles.
Formula: $ 75*(\log_{10}(1+x))^{1.3})% $ where x is the production of your Stonehenge Circles. 
W  3150  Any  ncrease the production of all buildings based on their tier, giving the best bonus to the lowest.
Formula: $ 150 * (12x)^{2.15} $ where x is building tier. 
Specific Building Production  

R  Lvl  Faction  Effect 
S  1  Fairy  Increase the production of Enchanted Fields based on mana produced.
Formula: $ round(0.75 * x^{0.6})% $ where x is your Mana Produced (This Game) stat. 
S  135  Any  Increase the production of Unique Buildings based on maximum mana.
Formula: $ round(2 * x^{0.8})% $ where x is your maximum mana. 
S  150  Any  Increase the production of the two highest building tiers based on your mana regeneration.
Formula: $ round(4 * x^{1.3})% $ where x is your Mana per Second stat. 
S  250  Any  Increase the production of Unique Buildings based on mana produced in this game.
Formula: $ round(0.5 * x^{0.58})% $ where x is your Mana Produced (This Game) stat. 
S  251  Faceless  Increase the production of Sunken Cities based on time spent affiliated with factions different than the Faceless.
Formula: $ round(0.3 * x^{0.7})% $ where x is total time spent as nonFaceless factions. 
S  590  Fairy
Dwarf  Increase the production of Neutral buildings based on maximum Mana.
Formula: $ 0.5 * x^{1.05}% $ where x is Maximum Mana. 
S  1450  Dragon  Increase the production of Unique Buildings based on the amount of active spells.
Formula: $ 50 * x^{1.5}% $ where x is number of active spells, counting tiers. 
S  1500  Faceless Dragon  Increase the production of Unique Buildings based on the amount of assistants you own.
Formula: $ 8.5* x ^{0.85}% $ where x is the amount of assistants. 
S  2875  Mercenary  Increase the production of NonUnique buildings by 40% per Unique building. 
C  1  Elf  Increase Elven Training Grounds production based on the amount of Faction Coins you found.
Formula: $ round(1.3 * \ln^3(1+ x))% $ where x is your Faction Coins Gained (This Game) stat. 
C  10  Fairy  Increases production of Blacksmith and Inn by 60% per Enchanted field that you have. 
C  50  Demon  Increase the production of Infernal Realms based on the amount of Demon Coins you found in this Game.
Formula: $ round(0.8 * \ln^3(1 + x))% $ where x is your Demon Coins Gained (This Game) stat. 
C  80  Any  Increase the production of Neutral buildings based on the amount of Good and Evil buildings.
Formula: $ round(x^{0.8})% $ where x is the number of Good and Evil Buildings you own. 
C  200  Any  Increase the production of Unique Buildings based on total time spent as that faction.
Formula: $ round(0.125 * x^{0.7})% $ where x is your Time Spent as that faction stat. 
C  251  Titan  Increase the production of Olympian Halls based on the amount of buildings you own.
Formula: $ round(0.5 * x ^{0.8})% $ where x is your Buildings Owned (This Game) stat. 
C  405  Any  Increase Dwarven Forges based on the Dwarven Forges you own.
Formula: $ 45 * x^{0.825}% $ where x is the number of Dwarven Forges you own. 
C  460  Any  Increase the production of NonUnique buildings based on the amount of clicks you made in this game.
Formula: $ 35 * x^{0.5}% $ where x is your Treasure Clicks (This Game) stat. 
D  1  Angel  Increase the production of Heaven's Domains based on total time spent with at least one active spell.
Formula: $ round(2.5 * x^{0.8})% $ where x is total time spent with at least one active spell. 
D  225  Fairy  Increase the production of Enchanted Fields based on maximum mana.
Formula: $ floor(2.25 * x^{0.8})% $ where x is your maximum mana. 
D  435  Dwarf  Increase the production of Good buildings based on spells cast in this game.
Formula: $ 2.5 * x^{0.85}% $ where x is your Spells Cast (This Game) stat. 
D  590  Angel Dwarf  Increase the production of Unique buildings based on mana regeneration.
Formula: $ 2.5 * x^{1.25}% $ where x is your Mana per Second stat. 
D  1125  Dragon  Increase the production of Wyrm's Den based on Faction Coin find chance.
Formula: $ 1.55 * x^{0.55}% $ where x is the Faction Coin find chance (in percentage). 
D  1375  Any  Increase the production of Unique Buildings based on the amount of NonUnique buildings you own.
Formula: $ 2.5 * x^{0.55}% $ where x is the number of NonUnique buildings you own. 
D  2775  Mercenary  Increase the production of Unique Buildings based on time spent with Mercenaries.
Formula: $ 0.1 * x^{0.7} $ where x is time spent with Mercenary. 
E  1  Goblin  Increase the production of Goblin Banks based on the amount of buildings you own.
Formula: $ round(0.8*x^{0.8}))% $ where x is the number of buildings you own. 
E  50  Fairy  Reduce Enchanted Field cost multiplier.
Reduces cost multiplier by 0.035; with no other reductions applying, the multiplier will be 1.115 instead of 1.15. 
E  80  Any  Increase the production of Good and Evil buildings based on the amount of neutral buildings.
Formula: $ round((1.75 * x)^{0.8})% $ where x is the number of neutral buildings you own. 
E  135  Any  Reduce the building cost multiplier for Unique Buildings.
Reduces cost multiplier by 0.02; with no other reductions applying, the multiplier will be 1.13 instead of 1.15. 
E  225  Goblin  Increase the production of Evil Buildings based on the amount of Goblin Banks you own.
Formula: $ round(10 * x^{0.85})% $ where x is the number of Goblin Banks you own. 
E  230  Demon  Increase the production of Infernal Realms based on total time spent being Evil.
Formula: $ round(0.2 * x^{0.7})% $ where x is your Time Spent Being Evil (Total) stat. 
E  480  Any  Increase the production of NonUnique buildings based on total spells cast.
Formula: $ 0.65 * x^{0.65}% $ where x is your Spells Cast (Total) stat. 
A  1  Undead  Increases the production of Undercities by 5% per assistant you own. 
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 * x^{0.6})% $ where x is your Mana Produced (Total) stat. 
A  251  Druid  Increase the production of Stonehenge Circles based on mana produced in this game.
Formula: $ round(0.75 * x ^{0.6})% $ where x is your Mana Produced (This Game) stat. 
W  1  Demon  Increase the production of Infernal Realms based on the amount of Hellfire Blasts cast in this game.
Formula: $ round(70 * x^{0.55})% $ where x is Hellfire Blasts Cast (This Game). 
W  120  Any  Increase the production of NonUnique buildings based on the amount of assistants you own.
Formula: $ round(1.5 * x^{1.5})% $ where x is the amount of assistants you own. 
W  225  Angel  Holy Light empowers Heaven's Domains based on Holy Light activity time in this game.
Formula: $ 5 * x^{0.65}% $ where x is your Holy Light Active Time (This Game) stat in seconds. 
W  290  Any  Increase the production of Unique buildings based on the amount of Excavations you made.
Formula: $ round(15 * x^{0.8})% $ where x is the amount of excavations made. 
W  405  Drow  Increase the production of Spider Sanctuaries based on offline Bonus
Formula: $ 3.25 * \log(1+x)^{3.25} $ where x is Offline Production Bonus. 
W  1275  Any  Increase the production of NonUnique buildings based on the percentage of trophies you unlocked.
Formula: $ 0.2 * x^2 $ where x is percent of trophies unlocked. 
W  3050  Mercenary  Increase the production of building tiers directly above or below Unique Buildings based on the amount of assistants you own.
Formula: $ 0.15 * x^{0.8} $ where x is assistants. 
Magic Related Edit
Mana Regeneration  

R  Lvl  Faction  Effect 
S  30  Any  Increase maximum mana and mana regeneration rate based on time spent in this game.
Formula: Maximum Mana: $ floor(45 * x) $ 
S  180  Fairy  Increase mana regeneration based on the number of assistants you own.
Formula: $ floor(16 * x^{0.6}) / 10 $ where x is the number of assistants you have. 
S  3200  Any  Each active spell increases mana regen by an additional 8% (Share Benefits tiers also count). Also increases offline spell cast amount by multiplicatively by 1200%. 
C  25  Angel  Increase mana regeneration based on the amount of spells cast.
Formula: $ floor(10 * x^{0.3}) / 10 $ where x is your Spells Cast (This Game) stat. 
A  50  Angel  Heaven's Domains further increase your mana regeneration rate.
Formula: $ 1.45 * x^{0.45} $ 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(x^{0.5}) $ where x is number of researches made. 
D  135  Any  Increases mana regeneration based on the amount of gems you own.
Formula: $ floor(1.25 * \ln(1 + x)) / 10 $ where x is amount of gems you own. 
D  275  Druid  Increase mana regeneration based on your current mana. Also increases offline spell cast amount by multiplicatively by 300%. Formula: $ 0.5 * (100  x)% $ where x is percent of max mana. 
D  290  Any  Each artifact you discover increases mana regeneration by 1.5 m/s.
Formula: $ floor(1.5 * x)) $ where x is the number of artifacts found. 
D  560  Drow  Increase mana regeneration based on the amount of trophies you unlocked.
Formula: $ floor(0.7x) / 10 $ where x is the amount of Trophies Unlocked. 
E  250  Any  Increase mana regeneration based on the amount of Royal Exchanges you purchased.
Formula: $ floor(10 * x^{0.55}) / 10 $ where x is your Royal Exchanges Made stat. 
E  275  Titan  Increase mana regeneration based on your Royal Exchange Bonus.
Formula: $ floor(0.9 * x^{0.95}) / 10 $ where x is your Royal Exchange Bonus. 
A  270  Any  Increase mana regeneration based on the amount of Faction Coins found in this game.
Formula: $ floor(12 * \ln(1 + x)) / 10 $ where x is your Faction Coins Gained (This Game) stat. 
A  300  Faceless  Increase mana regeneration based on mana produced in this game.
Formula: $ floor(30 * \ln^{1.2}(1 + x)) / 10 $ where x is your Mana Produced (This Game) stat. 
A  1325  Any  Increase mana regeneration based on the amount of excavations made.
Formula: $ floor(0.02 * x) $ where x is current excavations. 
W  205  Evil  While Blood Frenzy is active, increase mana regeneration based on the amount of assistants you own.
Formula: $ floor(0.25 * x^{0.9}) / 10 $ where x is your Assistants stat. 
Maximum Mana  

R  Lvl  Faction  Effect 
S  30  Any  Increase maximum mana and mana regeneration rate based on time spent in this game.
Formula: Maximum Mana: $ floor(45 * x) $ 
S  400  Any  Increase maximum mana based on the highest amount of spells cast in a single game.
Formula: $ floor(35* x^{0.35}) $ where x is your Spell Cast (Max) stat. 
S  500  Any  Increases maximum mana based on the number of owned artifacts.
Formula: $ 100 * x^{1.1} $ where x is artifacts. 
C  3100  Any  Increase maximum mana based on the total amount of clicks made that Reincarnation.
Formula: $ 7.5 * \log_{10}^{2.15}(1 + x) $ where x is your Clicks (this R) stat. 
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. 
A  1500  Druid Dragon  Increases Max Mana based on the amount of Unique Buildings you own.
Formula: $ 8 * x^{0.8} $ where x is the number of Unique Buildings you own. 
W  1400  Dragon  Increase maximum mana based on the amount of clicks made in this game.
Formula: $ floor 25 * \log(1+x) ^{2.5} $ where x is your Clicks (this R) stat. 
Spells  

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. Also increases offline spell cast amount multiplicatively by 150%. Formula: $ floor(x /650) $ where x is the number of Goblin Banks you own. 
S  215  Any  Increase Spiritual Surge effect based on the amount of active spells.
Formula: $ 15 *((15 * x) ^Y) $ where x is active spell and y is ascension. (does not include Spiritual Surge) 
S  300  Titan  While Lightning Strike is active, all nontarget buildings have their production increased based on the amount of Lightning Strikes cast in this game.
Formula: $ 250 * (x / 20)^{0.9}% $ where x is your Lightning Strikes Active Time (This Game) stat. 
S  375  Faceless  Brainwave also provides progressively more assistants over its duration.
Formula: $ Floor(1.15 * (x + y) ^2) $ where x is brainwave runtime in minutes and y is headstart in minutes. 
S  435  Drow  Passively grants the effects from Call to Arms while offline. 
S  1275  Any  Reduce spell cost for higher spell tiers.
Reduces cost multiplier by 0.5; with no other reductions applying, the multiplier will be 1.5 instead of 2. 
C  225  Elf  Each Elven Training Grounds counts as 200 buildings for Call to Arms purposes. 
C  300  Druid  While Grand Balance hits Stone Pillars, increase its production by 3.09%. Also increase the production of every Grand Balance target based on maximum mana. Formula: $ round(0.12*\ln(1+x))^2)^y) $ where x is your maximum mana and y is spell tier. 
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. 
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. Clicking Reward: $ 2.5 * x^{0.3}% $ 
D  25  Undead  While Night Time is active, increase the production of all buildings based on offline production bonus.
Formula: $ round(0.05 * x^{0.5})% $ where x is your offline production bonus. 
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. 
D  245  Any  Reincarnations count twice for Spiritual Surge. 
D  330  Any  Double the duration of all faction spells. 
D  525  Good  Increase Holy Light multiplier based on the amount of times you cast your faction spell in this game.
Formula: $ 300 * x^{0.3}% $ where x is your Faction Spells' Cast This Game (Vanilla + Prestige spell count) stat. 
E  145  Any  Increase Tax Collection reward by 30 seconds of production. 
E  1425  Neutral  Increase Gem Grinder bonus based on the amount of artifacts you found.
Formula: $ 1.75 * x^{1.75}% $ where x is the amount of artifacts you found. (multiplicative) 
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.
Formula: 
W  180  Any  Each building counts 15 times for Call to Arms purposes. 
W  205  Evil  While Blood Frenzy is active, increase mana regeneration based on the amount of assistants you own.
Formula: $ floor(0.25 * x^{0.9}) / 10 $ where x is your Assistants stat. 
W  225  Angel  Holy Light empowers Heaven's Domains based on Holy Light activity time in this game.
Formula: $ 5 * x^{0.65}% $ where x is your Holy Light Active Time (This Game) stat in seconds. 
W  520  Drow  Gain 1 assistant for every 100 seconds of Combo Strike activity time. (This Game) 
W  525  Any  Increase Blood Frenzy multiplier additionally based on the amount of times you cast faction spell in this game.
Formula: $ 300 * floor(x^{0.3})% $ where x is Faction Spells' Cast This Game (Vanilla + Prestige spell count). 
Faction Coins Edit
Find Chance  

R  Lvl  Faction  Effect 
C  105  Any  Increase the chance to find Faction Coins based on the amount of Unique Buildings you own.
Formula: $ floor({1.5}x^{1.05})% $ where x is the number of Unique Buildings you own. 
C  250  Any  Increase the chance to find Faction Coins by a multiplicative 50%. Increase the chance to find faction coins based on total time spent offline. (in minutes) Formula: $ 2.5 * x ^{0.75} $ where x is your Time Spent Offline (Total) stat in minutes. 
C  400  Any  Increase the chance to find Faction Coins based on the amount of Faction Coins found in this game.
Formula: $ floor(3.5 * \ln^3(x + 1)) $ where x is your Faction Coins Gained (This Game) stat. 
D  50  Elf  Increase your chance to find Faction Coins based on the amount of Elven Training Grounds you own.
Formula: $ floor(5 * x^{0.85})% $ where x is the number of Elven Training Grounds you own. 
D  150  Any  Increase the chance to find Faction Coins based on the amount of research made.
Formula: $ floor(0.05 * x^{1.25} $ 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: 
A  305  Any  Increase your chance to find Faction Coins based on the amount of spells cast in this game. Also increase Faction Coins find chance by a multiplicative 100%. Formula: $ floor(3.5 * \log_E(1+x)^{3.5})% $ where x is your Spells Cast (This Game) stat., or approximately 
A  3400  Any  Increases Faction Coin find chance based on the total amount of Lineage levels you have. Also increases Faction Coin find chance by a multiplicative 350%. Formula: $ 3 * x^{2.25} $ where x is total Lineage levels.. 
W  50  Undead  Increase Faction Coin find chance based on the amount of Undercities you own.
Formula: $ (floor(6.5x^{0.65}))% $ where x is the number of Undercities you own. 
W  275  Faceless  Gain additional Faction Coins per second based on the highest amount of assistants you had in a single game. Also a 50% multiplicative Faction Coin find chance. Formula: $ floor(125 * x^{0.75}) $ where x is your Assistants (Max) stat. 
W  1375  Any  Increases Faction coin chance based on the amount of assistants you own. Also increase Faction Coin find chance by a multiplicative 275%. Formula: $ (2500 * x^{0.425}) $ where x is assistants. 
Production  

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. Also increases offline spell cast amount multiplicatively by 150%. Formula: $ floor(x /650) $ where x is the number of Goblin Banks you own. 
W  275  Faceless  Gain additional Faction Coins per second based on the highest amount of assistants you had in a single game. Also a 50% multiplicative Faction Coin find chance. Formula: $ floor(125 * x^{0.75}) $ where x is your Assistants (Max) stat. 
Royal Exchange  

R  Lvl  Faction  Effect 
E  460  Any  Increase Royal Exchange Bonus based on the amount of Faction Coins found in this game.
Formula: $ floor(3.5 * \log(1 + x))% $ where x is your Faction Coins Gained (This Game) stat. 
E  1225  Dragon  Reduce Ascension 1 penalty for Royal Exchanges.
Formula: ((((((bonus per RE as %)^0.2(if E1225)) * #REs)/100)+1)^0.1(if not E1225). 
E  1325  Any  Reduce Royal Exchange cost modifier.
Reduces cost multiplier by 0.025; with no other reductions applying, the multiplier will be 1.075 instead of 1.1. 
Other Upgrades Edit
Assistant Upgrades  

R  Lvl  Faction  Effect 
S  375  Faceless  Gain additional assistants progressively during Brainwave casts.
(10m=100, 20m=400, 24m=576) 
C  305  Titan  Gain additional assistants based on your total time spent offline (in hours).
Formula: $ floor(2 * x^{0.5)} $ where x is your Time Spent Offline (Total) stat in hours. 
C  1325  Any  Gain assistants based on mana produced in this game.
Formula: $ floor(1.25 * ln(1 + x)^2) $ where x is mana produced (this game). 
D  175  Angel  You gain additional assistants based on God's Hands activity time.
Formula: $ floor(0.45 * (0.15 * x)^{0.6}) $ where x is God's Hands' Active Time (This Game). 
D  250  Any  Gain additional assistants based on the amount of Faction Coins found in this game.
Formula: $ floor(\ln^{1.3}(1 + x)) $ where x is your Faction Coins Gained (This Game) stat. 
D  350  Titan  Gain additional assistants based on the amount of Olympian Halls you own.
Formula: $ floor(x^{0.5}) $ where x is the number of Olympian Halls 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. 
E  590  Goblin Drow  Gain additional assistants based on the amount of Evil buildings you own.
Formula: $ floor((x/300)^{1.05} $ where x is the number of Evil Buildings you own. 
E  3300  Any  Gives assistants based on the gold you have.
Formula: $ 2 * \log_{10}(x + 1) additive $ where x is gold you have. 
A  120  Any  Gain additional assistants based on max mana.
Formula: $ floor(x/15)^{0.825}) $ where x is your maximum mana. 
A  375  Druid  Gain additional assistants based on mana produced this game.
Formula: $ floor(4.5 * \ln(1 + x)) $ where x is your Mana Produced (This Game) stat. 
W  175  Demon  Gain additional assistants based on total amount of evil spells cast.
Formula: $ floor(0.75 * x^{0.6}) $ where x is the amount of evil spells cast.. 
W  200  Any  Gain additional assistants based on total time spent as Good.
Formula: $ floor(0.065 * x^{0.5}) $ where x is your Time Spent Being Good (Total) 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. 
W  520  Drow  Gain 1 assistant for every 100 seconds of Combo Strike activity time. (This Game) 
Cost Multiplier Reductions  

R  Lvl  Faction  Effect 
S  1275  Any  Reduce spell cost for higher spell tiers.
Reduces cost multiplier by 0.5; with no other reductions applying, the multiplier will be 1.5 instead of 2. 
E  50  Fairy  Reduce Enchanted Field cost multiplier.
Reduces cost multiplier by 0.035; with no other reductions applying, the multiplier will be 1.115 instead of 1.15. 
E  135  Any  Reduce the building cost multiplier for Unique Buildings.
Reduces cost multiplier by 0.02; with no other reductions applying, the multiplier will be 1.13 instead of 1.15. 
E  290  Any  Reduce Excavation cost multiplier.
Reduces cost multiplier by 0.025; with no other reductions applying, the multiplier will be 1.175 instead of 1.2. 
E  1325  Any  Reduce Royal Exchange cost modifier.
Reduces cost multiplier by 0.025; with no other reductions applying, the multiplier will be 1.075 instead of 1.1. 
Offline Bonuses  

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. Also increases offline spell cast amount multiplicatively by 150%. Formula: $ floor(x /650) $ where x is the number of Goblin Banks you own. 
S  435  Drow  Passively grants the effects from Call to Arms while offline. 
S  3200  Any  Each active spell increases mana regen by an additional 8% (Share Benefits tiers also count). Also increases offline spell cast amount by multiplicatively by 1200%. 
D  275  Druid  Increase mana regeneration based on your current mana. Also increases offline spell cast amount by multiplicatively by 300%. Formula: $ 0.5 * (100  x)% $ where x is percent of max mana. 
D  400  Any  Increase the Production of a random building by x250. Target changes every 2 minutes. While offline, increase the production of all buildings by x75. 
D  3350  Any  Increase offline production based on the amount of Reincarnations you made.
Formula: $ 1.7 * x^{1.7} $ where x is Reincarnation count. 
A  55  Any  Improve offline production based on spells cast.
Formula: $ round 5 * x^{0.85}% $ where x is your Spells Cast (Total) stat. 
A  480  Any  Increase offline production based on the amount of Royal Exchanges you purchased.
Formula: $ 120 * x^{0.85}% $ where x is your Royal Exchanges Made stat. 
Miscellaneous  

R  Lvl  Faction  Effect 
E  3250  Mercenary  Gives you all the Unique Buildings of your alignment. 
A  400  Any  You get your faction's Bloodline effect for free. Bloodstream counts time spent with both factions.
NOTE: Does not work with two Bloodlines of the same type. 
A  2950  Mercenary  Select an additional Bloodline. You also gain all the base effect of its respective Lineage. 
W  400  Any  Each building in the three highest building tiers count as 2 buildings for all purposes. (All purposes in the build. Does not work for Trophies.) 
Realm Grinder 

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