Research
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Enter the Research Facilities to improve your grinding potential. There you will be able to advance your research progress, unlock and buy special upgrades which will boost all your abilities hugely. Your research points in each branch are limited by the amount of Reincarnations you have.
The Research progress system was implemented in the Secrets expansion series^{[2]} bringing "secret" powers to enhance each mythical faction. Overtaking the Mercenaries, it is accessible from R16 for Vanilla, R23 for Neutral, and R29 Prestige Factions, and R46 for the Dragons.
Research consists of several specialized facilities, each containing upgrades, which, once unlocked, will require strategic selecting. Each Facility is related to several Factions: Vanilla factions are related to one facility, Neutral to two, and Prestige to three. Each is unlocked by its related Vanilla Faction (see unlock requirements)
The Research Facilities  

Icon  Name  Factions  Ingame Description 
Spellcraft  Fairy Faceless Drow  Delve into the arcane mysteries of Spellcraft, discovering new ways to produce and use mana.  
Craftsmanship  Elven Titan Dwarven  Learn how to use tools and experience to improve your production by mastering Craftsmanship.  
Divine  Angel Faceless Dwarven  Harness the power of the eternals, increasing your spell affinity and bestowing Divine power on all your productivity.  
Economics  Goblin Druid Dwarven  Exploit your resources with Economics knowledge, taking maximum advantage of your properties and turning time into money.  
Alchemy  Undead Druid Drow  Tap the nearunlimited sources of Alchemy to improve your production and benefit from all your assets  
Warfare  Demon Titan Drow  Use strategical prowess and manpower to manipulate the production system in your favor. 
Research Points & Slots Edit
Research Points (RPs): Facilities are levelup with RPs, which in turn increases the production of the related faction. Each R, you will receive a defined, and increasing, amount of RPs to levelup the increasing costs of the facilities.
 RPs available per R Formula: (x + 1) * x / 2, where x is R#.
 Facility RP Production: Formula: 350x^{0.75}% or 0% if x is 0, where x is the number of corresponding RPs.
 Facility RP Cost: Formula: 1e126 * 1.5^{x} Coins and (x + 1)^{3} Faction Coins
 PA Facility RP Cost^{[3]}: Formula: 1e42 * 1.15^{(RPs  780)}
Research Slots (RSs): At specific RPs, the facilities will gain new upgrades, and the amount of upgrades you can use is defined by the amount of RSs you have. At certain reincarnation levels, additional RS upgrades can be unlocked. See following table for details.
Research Points & Slots per R#  

R#  RP  RS  RP Upgrades  RS Upgrades 
16  136  24  1; 25; 55; 120; 135  4x6 Default Slots for each Facility 
17  153  25  145; 150  +1 slot for Alchemy, from the Apothecary secret trophy upgrade 
18  171  25     
19  190  26  175; 180  +1 Craftsmanship slot from the Artisan secret trophy upgrade 
20  210  30  200; 205  +1 Spellcraft slot from the Magician secret trophy upgrade. +1 Divine slot from the Demigod secret trophy upgrade. +1 Economics slot from the Businessman secret trophy upgrade. +1 Warfare slot from the Warlord secret trophy upgrade. 
21  231  30  215; 225; 230   
22  253  30  245; 250; 251   
23  276  30/32  260; 270; 275  The Key to the Lost City artifact unlocks Neutral Research: +2 Neutral slots obtainable starting from R23 from the Ancient Device upgrade. 
24  300  30/32  290; 300   
25  325  30/32  305; 320   
26  351  30/32  330; 350   
27  378  30/32  375   
28  406  30/32  400; 405   
29  435  30/32/33  410; 435  Secrets of the Underworld unlocks Vanilla Prestige Research:
+3 Vanilla Prestige slots obtainable starting from R29:

30  465  30/32/33  460   
31  496  30/32/33  480; 495   
32  528  30/32/33  500; 520; 525   
33  561  30/32/33  545; 560   
34  595  30/32/33  590   
35  630  30/32/33     
36  666  30/32/33     
37  703  30/32/33     
38  741  30/32/33     
39  780  30/32/33     
40  820  30/32/33     
41  861  30/32/33     
42  903  30/32/33     
43  946  30/32/33     
44  990  30/32/33     
45  1035  30/32/33     
46  1081  30/32/33    Spiky Rough Egg artifact leads to unlocking Neutral Prestige Research. 
47  1128  30/32/33  1125  No more new RS Upgrades 
48  1176  30/32/33     
49  1225  30/32/33  1200;1225  
50  1275  30/32/33  1275  
51  1326  30/32/33  1300; 1325  
52  1378  30/32/33  1375  
53  1431  30/32/33  1400;1425  
54  1485  30/32/33  1450  
55  1540  30/32/33  1500  
56  1596  30/32/33  No more new RP Upgrades  
70  +1 Slot for each facility 
Additional RS Requirements  

Icon  Name  R#  Unlock Requirements  Cost  Effect 
Magician  R20  Discover at least 10 Spellcraft Researches  250 Noqag (2.5_{E}152)  Increase Spellcraft upgrade slot by 1  
Artisan  R19  Discover at least 10 Craftsmanship Researches  250 Noqag (2.5_{E}152)  Increase Craftsmanship upgrade slot by 1  
Demigod  R20  Discover at least 10 Divine Researches  250 Noqag (2.5_{E}152)  Increase Divine upgrade slot by 1  
Businessman  R20  Discover at least 10 Economics Researches  250 Noqag (2.5_{E}152)  Increase Economics upgrade slot by 1  
Apothecary  R17  Discover at least 10 Alchemy Researches  250 Noqag (2.5_{E}152)  Increase Alchemy upgrade slot by 1  
Warlord  R20  Discover at least 10 Warfare Researches  250 Noqag (2.5_{E}152)  Increase Warfare upgrade slot by 1  
Ancient Device  R23  Find the Ancient Device artifact
(Play a Neutral Faction, 2000+ Excavations)  100 QiSxg (1_{E}200)  Provides 2 additional slots for Neutral researches:
1 for each related Neutral Faction Facility you are playing.  
Legacy of the Dwarven Kings  R29  Find the Horn of the Kings artifact
(Have Dwarven Forges, 3250+ Excavations)  10 SxSpg (1_{E}232),
10m Dwarven Coins  Provides 3 additional slots for Dwarven research:
+2 Craftsman slots, +1 to the Good faction's facility you are playing.  
Dark Light of Bondelnar  R29  Find the Flame of Bondelnar artifact
(Have Spider Sanctuaries, 3250+ Excavations)  10 SxSpg (1_{E}232),
10m Drow Coins  Provides 3 additional slots for Drow research:
+2 Warfare slots, +1 to the Evil faction's facility you are playing.  
Note: The Vanilla RS upgrades only need to be purchased once, Neutral and Prestige upgrades purchased each run. 
Upon abdication, your gained RPs will persist, and your RSs will get reset, enabling the player to make different research builds each run.
Research Unlock Requirements Edit
All the upgrades below, except the Unique building upgrades, only need to be bought once and do not count the boughtupgrade stats.
Quests & Requirements  

Faction  Icon  Name  Ingame Description  Requirements  Cost 
Fairy  Enchanted Field Quest  Hey! Listen! A True Fairy has never enough Farms! We will offer you the chance to improve them!  R16 + 2250 Farms  10 Dtg (1_{E}100)  
Enchanted Field  Upgrade Farms to Enchanted Fields, boosting their production based on the amount of assistants you own and unlocking more unique perks for the building.
Formula: 47 * (750 * x)^{0.7}, where x is your Assistants stat.  Buy "Enchanted Field Quest"  10 Ttg (1_{E}103)  
Spellweavery  Unlocks the Spellcraft research facility and increases Fairy production by 100000%, plus an additional bonus based on Spellcraft research points.  All Fairy faction upgrades bought, Enchanted Field  1_{E}121 coins, 1_{E}6 Fairy coins  
Elf  Elven Training Grounds Quest  Hello, mellonamin. We require a new place to train our soldiers. Build enough Warrior Barracks, and we'll make them worthy of you.  R16 + 1750 Warrior Barracks  10 Dtg (1_{E}100)  
Elven Training Grounds  Upgrade Warrior Barracks To Elven Training Grounds, boosting their production based on the total amount of clicks you made and unlocking more unique perks for the building. Formula: ((50 * x^{0.85}) + 50 * ln^{6}(1 + x))%, where x is your Treasure Clicks (Total) stat. +Access to the Research Facilities.  Buy "Elven Training Grounds Quest"  10 Ttg (1_{E}103)  
Carpentry  Unlocks the Craftsmanship research facility and increases Elven production by 100000%, plus an additional bonus based on Craftsmanship research points.  All Elven faction upgrades bought, Elven Training Grounds  1_{E}121 coins, 1_{E}6 Elven coins  
Angel  Heaven's Domain Quest  Bless you, dear friend. The Lands of the sky are expanding as more good souls are joining our ranks. Would you be so kind to provide them a place to stay in the Heavens?  R16 + 1500 Heaven's Gates  10 Dtg (1_{E}100)  
Heaven's Domain  Upgrade Heaven's Gate To Heaven's Domains, boosting their production by 35000% per spell affecting them and unlocking more unique perks for the building. +Access to the Research Facilities.  Buy "Heaven's Domain Quest"  10 Ttg (1_{E}103)  
Pantheon  Unlocks the Divine research facility and increases Angel production by 100000%, plus an additional bonus based on Divine research points.  All Angel faction upgrades bought, Heaven's Domain  1_{E}121 coins, 1_{E}6 Angel coins  
Goblin  Goblin Banks Quest  Hey There! We need a safe place to keep our honestly earned savings. We'll turn those Witch Conclaves into something more... useful, if you build enough of them.  R16 + 1750 Witch Conclaves  10 Dtg (1_{E}100)  
Goblin Banks  Upgrade Witch Conclaves To Goblin Banks, boosting their production based on the amount of gold you own and unlocking more unique perks for the building. Formula: 650 + 10000 * log^{1.5}(1 + x), where x is your current amount of Coins. +Access to the Research Facilities.  Buy "Goblin Banks Quest"  10 Ttg (1_{E}103)  
Exchequer  Unlocks the Economics research facility and increases Goblin production by 100000%, plus an additional bonus based on Economics research points.  All Goblin faction upgrades bought, Goblin Banks  1_{E}121 coins, 1_{E}6 Goblin coins  
Undead  Undercities Quest  Hello there. The dead stand ready. Give them a place to rise and live again... Build enough Necropolises, we'll take care of the rest.  R16 + 1750 Necropolises  10 Dtg (1_{E}100)  
Undercities  Upgrade Necropolises To Undercities, boosting their production bases on time spent in this game and unlocking more unique perks for the building. Formula: (10 * (2x)^{0.75})%, where x is your Playtime (This Game) stat. +Access to the Research Facilities.  Buy "Undercities Quest"  10 Ttg (1_{E}103)  
Laboratory  Unlocks the Alchemy research facility and increases Undead production by 100000%, plus an additional bonus based on Alchemy research points.  Undercities and all Undead faction upgrades bought  1_{E}121 coins, 1_{E}6 Undead coins  
Demon  Infernal Realm Quest  Useless underling, be warned! The Demons are going to invade your world with all their might. If you know which side you want to be on when that happens, build those Hell Portals!  R16 + 1500 Hell Portals  10 Dtg (1_{E}100)  
Infernal Realm  Upgrade Hell Portals To Infernal Realms, boosting their production by 100% per Trophy you unlocked and unlocking more unique perks for the building. +Access to the Research Facilities.  Buy "Infernal Realm Quest"  10 Ttg (1_{E}103)  
Strategy Room  Unlocks the Warfare research facility and increases Demon production by 100000%, plus an additional bonus based on Warfare research points.  All Demon faction upgrades bought, Infernal Realm  1_{E}121 coins, 1_{E}6 Demon coins  
Neutral Factions  Secrets of the Ancients  Unlocks research for Titan, Druids and Faceless and increases production by 100,000%, plus an additional bonus based on Economics research points.  Neutral Unique Building  10 Noqag (1_{E}151) Coins,
1 M (1_{E}6) of each Vanilla FCs  
Titan  Olympian Halls Quest  Khaire, ruler. More of our people will join your cause if you build enough Hall of Legends. Our architects will take care of expanding them to accommodate the almighty Titans.  R22 + Key To The Lost City artifact  10 Dtg (1_{E}100)  
Olympian Halls  Upgrade Halls of Legend to Olympian Halls, boosting their production by 15% per Royal Exchange you've purchased and unlocking more unique perks for the building.  2000
Halls of Legends  10 Ttg (1_{E}103)  
Druid  Stonehenge Circles Quest  Hello, friend. The balance of nature requires more magic to sustain it. Build enough Stone Pillars, we'll gather our elders to improve them.  R22 + Key To The Lost City artifact  10 Dtg (1_{E}100)  
Stonehenge Circles  Upgrade Stone Pillars to Stonehenge Circles, boosting their production by 25% per point of Maximum Mana and unlocking more unique perks for the building. Note: The bonus is not a multiple of 25; this may be due to max. mana appearing as a floating point number instead of an integer.  2000 Stone Pillars  10 Ttg (1_{E}103)  
Faceless  Sunken Cities Quest  Cuh'e sll'ha hrii nog nwyar. Kn'a wgah'n ph'sgn'wahl. (Those unpronounceable words with no apparent meaning have spoken directly to your mind: you have to build enough Labyrinths).  R22 + Key To The Lost City artifact  10 Dtg (1_{E}100)  
Sunken Cities  Upgrade Labyrinths to Sunken Cities, boosting their production based on time spent in your longest game session and unlocking more unique perks for the building.
Formula: 75 * x^{0.9}%, where x is your Playtime (Longest Session) stat.  2000 Labyrinths  10 Ttg (1_{E}103)  
Prestige Factions  Earth Core Artifact  Your Magesty, our miners report to have found an unstable substance, throbbing with magical power. The Dwarves and Drow are ready to share the Secrets of the Underworld!  R29 + 2750th Excavation  
Secrets of the Underworld  Unlocks Researches for Dwarves and Drow and provides a bonus for individual research branches.
See Dwarf Faction Page for more details  Prestige Unique Building, Earth Core Artifact  100 QiSxg (1_{E}200), 10 M (1_{E}7) FC of each  
Dwarf  Dwarven Forge Quest  Aye again lad! Don't ye want a better place to forge yer weapons? With Enough Blacksmiths me people can help ye!  R28 + 5000 Blacksmiths  10 Sxg (1_{E}184)  
Dwarven Forges  Upgrade Blacksmiths to Dwarven Forges, boosting their production based on mana regen and unlocking more unique perks for the building.
Formula: 100 * x^{0.9}%, where x is your Mana per Second stat. +Access to the Dwarf Research.  Dwarven Forge Quest  10 USxg (1_{E}187)  
Drow  Spider Sanctuary Quest  Kivvil. Our Valsharess requires more places to worship the almighty Spider Queen. Build enough Dark Temples, and our priestesses will consecrate them.  R28 + 3333 Dark Temples  10 Sxg (1_{E}184)  
Spider Sanctuary  Upgrade Dark Temples to Spider Sanctuaries, boosting their production based on time spent offline and unlocking more unique perks for the building.
Formula: 25 * x^{0.75}%, where x is your Time Spent Offline (Total) stat. +Access to the Drow Research.  Spider Sanctuary Quest  10 USxg (1_{E}187)  
Dragon  Wyrm's Den Quest  Ava'yorn thurirl. Our kind needs large spaces and a place to take flight. Build enough Iron Strongholds to make room for us.  R46+, 4500 Iron Strongholds  100 Tvg (1_{E}74)  
Wyrm's Den  Upgrade Iron Strongholds to Wyrm's Dens, boosting their production based on the total amount of Faction Coins you collected and unlocking more unique perks for the building.
+Access to the Dragon Research.  Wyrm's Den Quest + Dragon's Trade Treaty  100 Dvg (1_{E}71) 
Research Upgrades by Facility Edit
Spellcraft Facility  

Lvl  Name  For  Requirement  Cost  Effect 
S1  Enchanting  Fairy    750 Qag (7.5_{E}125)  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. 
S10  Channeling  Angel  2000 Heaven's Gate  28.83 Uqag (2.883_{E}127)  Increase the production of all other buildings by 110% per Heaven's Domain you own. 
S30  Vacuumancy  Any  Have 4000 Mana  95.88 Dqag (9.588_{E}130)  Increase maximum mana and mana regeneration rate based on time spent in this game.
Formula: Maximum Mana:, Mana Regeneration:, where x is your Playtime (This Game) stat in hours. 
S50  Conjuration  Goblin  Have 6000 mana
(as Fairy)  318.8 Tqag (3.188_{E}134)  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. 
S105  Mysticism  Any  600 Researches  1.544 Spqag (1.544_{E}144)  Increase mana regeneration based on the amount of research made.
Formula: floor[10*(x^{0.5})]/10, where x is number of researches made. 
S135  Augmentation  Any  5000 Unique Buildings
(as Fairy)  296 Ocqag (2.96_{E}149)  Increase the production of Unique Buildings based on maximum mana.
Formula: round(2 * x^{0.8})%, where x is your maximum mana. 
S150  Pyromancy  Any  Research
Inflame (D10) &  129.6 Noqag (1.296_{E}152)  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. 
S175  Empowered Luck  Elf  Research Blessing (D1) & Augmentation (S135)  3.273 UQig (3.273_{E}156)  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%. 
S180  Incantation  Fairy  Research Enchanting (S1) & Mysticism (S105)  3.273 UQig (3.273_{E}156)  Increase mana regeneration based on the number of assistants you own.
Formula: floor(13 * x^{0.55}) / 10, where x is the number of assistants you have. 
S200  Cryomancy  Any  Research Conjuration (S50) & Refraction (A55)  82.65 DQig (8.265_{E}160)  Increase the production of all buildings based on your current mana (the less mana, the better bonus).
Formula: round(x^{1.75})%, where x is percentage of current missing mana. (at 0 mana x is 100). 
S215  Projection  Any  300 Spiritual Surge Casts (Total), Research Channeling (S10) & Incantation (S180)  36.16 TQig (3.616_{E}163)  Increase Spiritual Surge effect by 150% per other active spell. 
S225  Necromancy  Undead  Research Resurrection (D175) & Cryomancy (S200)  2.087 QaQig (2.087_{E}165)  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. 
S250  Aeromancy  Any  Research Weather Control (D225) & Explosives (A150)  52 QiQig (5.27_{E}169)  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. 
S251  Assimilation  Faceless  Play as Faceless  79.05 QiQig (7.905_{E}169)  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. 
S270  Runecarving  Any  500,000 clicks (This game)  175.2 SxQig (1.752_{E}173)  Increase the production of all buildings except the most productive one based on maximum mana. While offline, affects all buildings.
Formula: round(x^{0.9})%, where x is your maximum mana. 
S300  Chain Lightning  Titan  25 Brainwave Casts (Total)  33 OcQig (3.36_{E}178)  While Lightning Strike is active, all nontarget buildings have their production increased based on Lightning Strike activity time in this game.
Formula: 250 * (x / 20)^{0.9}%, where x is your Lightning Strikes Active Time This Game stat. 
S305  Mesmerization  Any  5 days as Faceless
(Total across all R)  225.2 OcQig (2.252_{E}179)  Increase the production of all buildings by a fraction of your offline production bonus.
Formula: 0.25 * ln(1 + x)^{5.3}%, where x is your preascension offline multiplier. 
S330  Reverberation  Any  Research Cryomancy (A200) & Weather Control (D225)  6.443 Sxg (6.443_{E}183)  Increase the production of all buildings by 3000% while you have 3 active spells, 6000% when you have 4, or 12000% when you have 5. 
S375  Illusion  Faceless  Research Reverberation (S330), Mesmerization (S305)  541 DSxg (5.41_{E}191)  Brainwave also provides progressively more assistants over its duration.
Formula: floor(x^{2}), where x is how many minutes the spell has been active. 
S400  Capacity  Any  Research Projection (S215) & Domination (W275)  13.66 QaSxg (1.366_{E}196)  Increase maximum mana based on the highest amount of spells cast in a single game.
Formula: floor(22 * x^{0.32}), where x is your Spell Cast (Max) stat. 
S435  Spellbinding  Drow  4h Combo Strike Cast Time (This game)  1.989 Spg (1.989_{E}213)  Passively grants the effects from Call to Arms while offline. 
S460  Focus  Any  25000 spells cast (This game)  5.023 SpSxg (5.023_{E}204)  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). 
S500  Heirlooms  Any  40 Artifacts (as Drow)  5.554 Spg (5.554_{E}213)  Each artifact you discover increases maximum mana by 100. 
S545  Hierarchy  Any  10 M (1_{E}7) mana produced (this game)  466.3 DSpg (4.663_{E}221)  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 1 for Halls of Legends and increasing to 11 for Farms. 
S590  Trickery  Fairy
Dwarf  200 Dwarf Exchanges as Dwarf/Fairy, Research S105 and S375  39.16 QiSpg (3.916_{E}229)  Increase the production of Neutral buildings based on maximum Mana.
Formula: 0.5 * x^{1.05}%, where x is Maximum Mana. 
S1275  Sequence  Any  60,000 Spells cast.  555.1 Dvg (5.551_{E}71)  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. 
S1450  Spellstorm  Dragon 
S435 + C1325  23.26 Sxvg (2.326_{E}82)  Increase the production of Unique Buildings based on the amount of active spells. Formula: 10 * x^{2}%, where x is the amount of active spells. 
S1500  Psionics  Faceless
Dragon  1000 Base Assistants S545 + E1325  25 Spvg (2.52_{E}85)  Increase the production of Unique Buildings based on the amount of assistants you own.
Formula: 3.75 * x^{1.05}%, where x is the amount of assistants. 
Craftsmanship Facility  

Lvl  Name  For  Requirement  Cost  Effect 
C1  Dummy Targets  Elf  750 Qag (7.5_{E}125)  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.  
C10  Cultivation  Fairy  2500 Farms  28.83 Uqag (2.883_{E}127)  Increases production of Blacksmith and Inn by 60% per Enchanted field that you have. 
C25  Light Condenser  Angel  12,000 Spells cast
(Total)  12.63 Dqag (1.263_{E}130)  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. 
C50  Refining  Demon  1 B (1_{E}9) Faction Coins (as Elf)  318.8 Tqag (3.188_{E}134)  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. 
C80  Apprenticeship  Any  16,000 Good and Evil buildings  61.13 Qiqag (6.113_{E}139)  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. 
C105  Woodcraft  Any  25,000 clicks (This Game)  1.544 Spqag (1.544_{E}144)  Increase the chance to find Faction Coins based on the amount of Unique Buildings you own.
Formula: , where x is the number of Unique Buildings you own. 
C120  Socketing  Any  200,000 clicks (This Game)  676 Spqag (6.76_{E}146)  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. 
C135  Reinforcing  Any  250,000 clicks (This Game, as Elf)  296 Ocqag (2.96_{E}149)  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. 
C150  Tinkering  Any  Research Recycling (E10) & Reinforcing (C135)  129.6 Noqag (1.296_{E}152)  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. 
C175  Gemcutting  Goblin  Research Refining (C50) & Socketing (C120)  3.273 UQig (3.273_{E}156)  Increase the production bonus from gems based on the number of buildings you own.
Formula: floor(x / 1750)%, where x is your Buildings Owned (This Game) stat. 
C200  Journeymen  Any  Research Apprenticeship (C80) & Bartering (E50).  82.65 DQig (8.265_{E}160)  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. 
C225  Automatons  Elf  Research Dummy Targets (C1) & Vivification (A120).  2.087 QaQig (2.087_{E}165)  Each Elven Training Grounds counts as 200 buildings for Call to Arms purposes. 
C250  Magnetism  Any  Research Tinkering (C150) & Critical Strike (W225).  52 QiQig (5.27_{E}169)  Increase the chance to find Faction Coins based on total time spent offline. [in minutes] Formula: floor(2 * x^{0.95}), where x is your Time Spent Offline (Total) in minutes stat. 
C251  Architecture  Titan  Play as Titan  79.05 QiQig (7.905_{E}169)  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. 
C300  Weighting  Druid  650 Lightning Strike Casts (Total)  33 OcQig (3.36_{E}178)  Increase Grand Balance multiplier by x20 when hitting Stonehenge Circles. Also increase its multiplier for every target based on maximum mana.
Formula: round((1.5 * ln(1 + x))^{2})%, where x is your maximum mana. 
C305  Golemcraft  Any  5 days as Titans
(Total across all R)  255.2 OcQig (2.552_{E}179)  Gain additional assistants based on your total time spent offline (in hours).
Formula: , where x is your Time Spent Offline (Total) in hours stat. 
C330  Overload  Any  Research Aeromancy (S250) & Critical Strike (W225)  6.443 Sxg (6.443_{E}183)  Increase clicking reward based on the amount of research made.
Formula: round(145 * x ^{0.38})%, where x is researches made. 
C340  Gem Duster  Any  800 Gem Grinder Casts (Total),
Research  371.5 Sxg (3.715_{E}185)  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. 
C375  Lightning Rod  Titan  Research Chain Lightning (S300) & Overload (C330)  541 DSxg (5.41_{E}191)  Olympian Halls are always hit by Lightning Strike in addition to the primary target. Olympian Halls can no longer be a primary target. 
C400  Gravitation  Any  Research Magnetism (C250) & Weighting (C300)  13.66 QaSxg (1.366_{E}196)  Increase the chance to find Faction Coins based on the amount of Faction Coins found in this game.
Formula: floor(2*(ln(1+x))^{2.75})%, where x is your Faction Coins Gained (This Game) stat. 
C405  Metallurgy  Dwarf  Underground Research upgrade  103.7 QaSxg (1.037_{E}197)  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. 
C460  Distribution  Any  1M Clicks (this game)  502.3 SpSxg (5.023_{E}206)  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. 
C500  Minecrafting  Any  3250 Excavations as Dwarf  5.554 Spg (5.554_{E}213)  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. 
C520  Blacksmithing  Dwarf  Research C135 and C405  18.47 USpg (1.847_{E}217)  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 * x^{0.3}%, Diamond Pickaxe: 20 * x^{0.4}%, where x is the number of Dwarven Forges you own. 
C590  Alloys  Elf
Dwarf  200 Dwarf Exchanges as Dwarf/Elf, Research A105 and C520  39.16 QiSpg (3.916_{E}229)  Increase clicking reward based on your chance to find faction coins and autoclicks the treasure 10 times per second.
Formula: 0.85 * x^{1.05}%, where x is your Current Chance to find Faction Coins. 
C1300  Scintillation  Dragon  30,000 max mana  18.27 Tvg (1.827_{E}73)  Increases production bonus from gems based on maximum mana.
Formula: 2 * x^{0.4}%, where x is maximum mana. 
C1325  Plasmation  Any  5e7 mana produced (this game)  601.6 Tvg (6.016_{E}74)  Gain assistants based on mana produced in this game.
Formula: 1.25 * (ln x)^{2}, where x is the amount of mana produced in this game. 
C1500  Gargantuaness  Titan
Dragon  2500 Royal Exchanges + E460 + D1275 (As Titans)  25 Spvg (2.52_{E}85)  Increase production for all buildings based on total time spent as Neutral.
Formula: (1.5 * x)^{0.7}%, where x is the total time spent as Neutral (in minutes). 
Divine Facility  

Lvl  Name  For  Requirement  Cost  Effect 
D1  Blessing  Angel  750 Qag (7.5_{E}125)  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.  
D10  Inflame  Demon  2,000 Infernal Realms  28.83 Uqag (2.883_{E}127)  Increase the production of all other buildings by 110% per Infernal Realm you own. 
D25  Cursing  Undead  Play 8 hours Offline (This Game, as Undead)  12.63 Dqag (1.263_{E}130)  Increase the production of all buildings based on your offline production bonus. Formula: 15 * x^{0.215}%, where x is your offline production bonus. 
D50  Hallowing  Elf  15,000 Good Buildings (as Angel)  318.8 Tqag (3.188_{E}134)  Increase your chance to find Faction Coins based on the amount of Elven Training Grounds you own. Formula: floor(3 * x^{0.85})%, where x is the number of Elven Training Grounds you own. 
D55  Transfixion  Any  Produce 3 M (3_{E}6) Mana (This Game)  2.421 Qaqag (2.421_{E}135)  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. 
D135  Illumination  Any  250 m/s Mana Regen (as Angel)  296 Ocqag (2.96_{E}149)  Increases 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. 
D150  Retribution  Any  Research Betrayal (W120) & Transfixion (D55).  129.6 Noqag (1.296_{E}152)  Increase the chance to find Faction Coins based on the amount of research made.
Formula: floor(0.05 * x^{1.1}, where x is the amount of research made. 
D175  Resurrection  Angel  Research Blessing (D1) & Refraction (A55)  3.273 UQig (3.273_{E}156)  You gain additional assistants based on God's Hands activity time.
Formula: floor(0.45 * (3 * x / 20)^{0.6}), where x is God's Hands' Active Time This Game. 
D200  Transcendence  Any  Research Resurrection (D175) & Illumination (D135)  82.65 DQig (8.265_{E}160)  Decrease the cost of all spells by 20% and increase their duration by 20%. 
D205  Communion  Any Good  777 Holy Light Casts (Total), Research Gemcutting (C175) & Illumination (D135)  627.6 DQig (6.276_{E}161)  Increase Holy Light duration by 110 seconds. 
D225  Weather Control  Fairy  Research Light Condenser (C25) & Vacuumancy (S30)  2.087 QaQig (2.087_{E}165)  Increase the production of Enchanted Fields based on maximum mana.
Formula: floor(2.25 * x^{0.8})%, where x is your maximum mana. 
D245  Soulrending  Any  500 Spiritual Surge Casts (Total), Research Soulweaving (A175) & Necromancy (S225)  6 QiQig (6.94_{E}168)  Reincarnations count twice for Spiritual Surge.
Formula: 100*(1.05^{x})%, where x is the amount of times you reincarnated. 
D250  Demonology  Any  Research Transcendence (D200) & Pyromancy (S150)  52 QiQig (5.27_{E}169)  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. 
D260  Mutation  Faceless  3,000 Sunken Cities  3.039 SxQig (3.039_{E}171)  Increase the production of all other buildings by 95% per Sunken Cities you own. 
D275  Meditation  Druid  Have 10,000 Mana (as Druid)  1.331 SpQig (1.331_{E}174)  Increase mana regeneration based on your current mana.
Formula: round(50  )%, where x is percentage of your current mana. 
D290  Transubstantiation  Any  1 Rough Stone Artifact  582.7 SpQig (5.827_{E}176)  Each artifact you discover increases mana regeneration by 1 m/s. 
D320  Deliverance  Any  350 m/s Mana Regen  1.117 NoQig (1.117_{E}180)  Increase assistants production based on mana regeneration.
Formula: round(20 * x^{0.85})%, where x is your Mana per Second stat. 
D330  Eternity  Any  Research Offering (E275) & Deliverance (D320)  6.443 Sxg (6.443_{E}183)  Double the duration of all faction spells. 
D350  Descent  Titan  Research Swarming (W250) & Heroism (W330) (as Titan)  21.42 USxg (2.142_{E}187)  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. 
D400  Miracle  Any  Research Communion (D205) & Transubstantiation (D290)  13.66 QaSxg (1.366_{E}196)  Increase the Production of a random building by 25000%. Target changes every 2 minutes. While offline, increase the production of all buildings by 7500%. 
D435  Devotion  Dwarf  4h Diamond Pickaxe Cast Time (This Game)  19.89 SxSxg (1.989_{E}202)  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. 
D480  Mercy  Any  12h Time Spent as each Good, Evil and Neutral alignment, (1d12 in total)  1 NoSxg (1.67_{E}210)  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: %, where t_{min} and t_{max} are the shortest and longest Time Spent Being Alignment (Total) Stat. 
D525  Purity  Good  1d12h as Good, Research D205 & D435  140.2 USpg (1.402_{E}218)  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. 
D560  Ritualism  Drow  Research S225 and S500 (as Drow)  204.2 TSpg (2.042_{E}224)  Increase mana regeneration based on the amount of trophies you unlocked.
Formula: floor(0.7x) / 10, where x is the amount of Trophies Unlocked. 
D590  Dispelling  Angel
Dwarf  200 Dwarf Royal Exchanges
Research W320 & A480 (as Dwarf/Angel)  39.16 QiSpg (3.916_{E}229)  Increase the production of Unique buildings based on mana regeneration.
Formula: 2.5 * x^{1.25}%, where x is your Mana per Second stat. 
D1125  Oblation  Dragon  Build Dragons' unique building  436.2 Nod (4.362_{E}62)  Increase the production of Wyrm's Den based on Faction Coin find chance.
Formula: 1.5 * x^{0.5}%, where x is the Faction Coin find chance (in percentage). 
D1275  Solemnity  Any  100K Total buildings (or less using w400, Iron Rush and Dwarf challenge)  555.1 Dvg (5.551_{E}71)  Increase the production of each building by 0.25% per building of the same type. 
D1375  Sanctification  Any  1 day Good Time Spent  651.9 Qavg (6.519_{E}77)  Increase the production of Unique Buildings based on the amount of NonUnique buildings you own.
Formula: 2 * x^{0.55}%, where x is the amount of NonUnique buildings. 
Economics Facility  

Lvl  Name  For  Requirement  Cost  Effect 
E1  Coinage  Goblin  750 Qag (7.5_{E}125)  Increase the production of Goblin Banks based on the amount of buildings you own.
Formula: round(0.5 * x^{0.8})%, where x is your Buildings Owned (This Game) stat.  
E10  Recycling  Undead  2,000 Undercities  28.83 Uqag (2.883_{E}127)  Increase the production of all other buildings by 95% per Undercity you own. 
E25  Commerce  Elf  100 M (1_{E}8) FCs  12.63 Dqag (1.263_{E}130)  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. 
E30  Diplomacy  Any  1000 Exchanges  95.88 Dqag (9.588_{E}130)  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 * x^{0.6})%, where x is Playtime (This Game in hours). 
E50  Bartering  Fairy  1,000 Exchanges (as Goblin)  318.8 Tqag (3.188_{E}134)  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. 
E80  Common Business  Any  9,000 Neutral Buildings  61.13 Qiqag (6.113_{E}139)  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. 
E135  Bribing  Any  28,000 Total Buildings (as Goblin)  296 Ocqag (2.96_{E}149)  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. 
E145  Royal Demand  Any  5,000 Tax Collection Casts (Total), Research Cultivation (C10) & Woodcraft (C105)  17.07 Noqag (1.707_{E}151)  Increase Tax Collection reward by 30 seconds of production. 
E150  Investment  Any  Research Bribing (E135) & Commerce (E25)  129.6 Noqag (1.296_{E}152)  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. 
E200  Acquisition  Any  Research Investment (E150) & Common Business (E80)  82.65 DQig (8.265_{E}160)  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}. 
E225  Forgery  Goblin  Research Coinage (E1) & Gilding (A50)  2.087 QaQig (2.087_{E}165)  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. 
E230  Coercion  Demon  Research Exertion (W50) & Diplomacy (E30)  2.087 QaQig (2.087_{E}165)  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. 
E250  Trade Routes  Any  Research Forgery (E225) & Royal Demand (E145)  52 QiQig (5.27_{E}169)  Increase mana regeneration based on the amount of Royal Exchanges you purchased.
Formula: floor(10 * x^{0.5}) / 10, where x is your Royal Exchanges Made stat. 
E260  Sifting  Druid  3,000 Stonehenge Circles  3.039 SxQig (3.039_{E}171)  Increase the production of all other buildings by 80% per Stonehenge Circle you own. 
E275  Offering  Titan  1,250 Royal Exchanges
(as Titans)  175.2 SxQig (1.752_{E}173)  Increase mana regeneration based on your Royal Exchange Bonus.
Formula: floor(0.9 * x^{0.95}), where x is your Royal Exchange Bonus. 
E290  Surveyorship  Any  7 Artifacts  582.7 SpQig (5.827_{E}176)  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. 
E320  Smuggling  Any  Have 2x Gems in Abdication Treasury  1.117 NoQig (1.117_{E}180)  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. 
E330  Collection  Any  Research Acquisition (E200) & Forgery (E225a)  6.443 Sxg (6.443_{E}183)  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. 
E350  Repurpose  Faceless  Research Journeymen (C200) & Adaptation (A330) (as Faceless)  21.42 USxg (2.142_{E}187)  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. 
E400  Conversion  Any  Research Philosopher's Stone (A250) & Repurpose (E350).  13.66 QaSxg (1.366_{E}196)  Increase production bonus from Gems based on your Royal Exchange bonus.
Formula: floor(x^{0.95})%, where x is your Royal Exchange Bonus. 
E410  Marketing  Dwarf  5000 Blacksmiths  787.7 QaSxg (7.877_{E}197)  Increase production of all other buildings by 85% per Dwarven Forge you own. 
E460  Inflation  Any  100 B (1_{E}11) Faction Coins  502.3 SpSxg (5.023_{E}206)  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. 
E480  Undercutting  Any  15000 Max mana  1 NoSxg (1.67_{E}210)  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. 
E495  Jewellery  Drow  12000 Unique Buildings
(as Dwarf)  731.4 NoSxg (7.314_{E}212)  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. 
E590  Slavery  Goblin
Drow  200 Drow Exchanges as Drow/Goblin, Research C225 and E480  39.16 QiSpg (3.916_{E}229)  Gain additional assistants based on the amount of Evil buildings you own.
Formula: , where x is the number of Evil Buildings you own. 
E1225  Hoarding  Dragon  1T(1_{E}12) Faction coins  512.3 Uvg (5.123_{E}68)  Reduce Ascension penalty for Royal Exchanges.
Formula: The gain from this research equals to 1.58 * x^{0.1}, where x is the Royal Exchange Individual Bonus. 
E1325  Intimidation  Any  18,000 unique buildings  601.6 Tvg (6.016_{E}74)  Reduce Royal Exchange cost modifier.
Reduces cost multiplier by 0.03; with no other reductions applying, the multiplier will be 1.07 instead of 1.1. 
E1425  Rarity  Neutral  A 545 & C 1300 & 30d Time Spent (10 days each with Titan, Druid, and Faceless)  706.4 Qivg (7.064_{E}80)  Increase Gem Grinder bonus based on the amount of artifacts you found.
Formula: 1.5 * x^{1.5}%, where x is the amount of artifacts you found. 
Alchemy Facility  

Lvl  Name  For  Requirement  Cost  Effect 
A1  Plague  Undead  750 Qag (7.5_{E}125)  Increase the production of Undercities by 8% per assistant you own.  
A10  Transmutation  Goblin  2250 Goblin Banks  28.83 Uqag (2.883_{E}127)  Increase the production of all other buildings by 85% per Goblin Bank you own. 
A25  Deflagration  Demon  666 Hellfire Blast Casts (Total)  12.63 Dqag (1.263_{E}130)  Reduces Hellfire Blast duration by 16 seconds, reduces its mana cost by 200 and multiplies its effect by x7. 
A30  Delayed Reaction  Fairy  750 Fairy Chanting Casts (Total)  12.63 Dqag (1.263_{E}130)  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: Production Bonus from Fairy Chanting: (50000+1000 * ceil(t)^{1.5})%; 
A50  Gilding  Angel  120 m/s Mana Regen (as Undead)  318.8 Tqag (3.188_{E}134)  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. 
A55  Refraction  Any  Cast 25000 spells (This Game)  2.421 Qaqag (2.421_{E}135)  Improve offline production based on spells cast.
Formula: 3 * x^{0.85}%, where x is your Spells Cast (Total) stat. 
A105  Fusion  Any  2750 Blacksmiths  1.544 Spqag (1.544_{E}144)  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. 
A120  Vivification  Any  Have 6500 mana  676 Spqag (6.76_{E}146)  Gain additional assistants based on max mana. Formula: floor(x / 50), where x is your maximum mana. 
A135  Decay  Any  1 Day Total Play Time (Any Faction, but must be Undead to unlock)  296 Ocqag (2.96_{E}149)  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. 
A150  Explosives  Any  Research Deflagration (A25) & Delayed Reaction (A30)  129.6 Noqag (1.296_{E}152)  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 (This Game) stat. 
A175  Soulweaving  Undead  Research Cursing (D25) & Reinforcing (C135)  3.273 UQig (3.273_{E}156)  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. 
A200  Corrosion  Any  Research Plague (A1) & Decay (A135)  82.65 DQig (8.265_{E}160)  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. 
A250  Philosopher's Stone  Any  Research Transmutation (A10) & Empowered Luck (S175)  52 QiQig (5.27_{E}169)  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. 
A251  Infusion  Druid  Play as Druid  79.05 QiQig (7.905_{E}169)  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. 
A270  Synthesis  Any  20 B (2_{E}10) Faction Coins
(This game)  175.2 SxQig (1.752_{E}173)  Increase mana regeneration based on the amount of Faction Coins found in this game. Formula: floor(15 * ln(1 + x)) / 10, where x is your Faction Coins Gained (This Game) stat. 
A300  Creeping  Faceless  Produce 5M mana (This game, as Druid)  33 OcQig (3.36_{E}178)  Increase mana regeneration based on mana produced in this game.
Formula: floor(10 * (1.5 * ln(1 + x))) / 10, where x is your Mana Produced (This Game) stat. 
A305  Engraving  Any  5 days as Druids
(Total across all R)  255.2 OcQig (2.552_{E}179)  Increase your chance to find Faction Coins based on the amount of spells cast in this game.
Formula: floor(ln^{2.75} (1 + 2x))%, where x is your Spells Cast (This Game) stat., or approximately 
A330  Adaptation  Any  Research Mutation (D260) & Meditation (D275)  6.443 Sxg (6.443_{E}183)  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. 
A375  Transfusion  Druid  Research Infusion (A251) & Engraving (A305)  541 DSxg (5.41_{E}191)  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. 
A400  Bloodspring  Any  Research Assimilation (S251) & Transfusion (A375).  13.66 QaSxg (1.366_{E}196)  You get your faction's Bloodline effect for free. Bloodstream counts time spent with all active factions.
NOTE: Does not work with two Bloodlines of the same type. 
A410  Poisons  Drow  4000 Sanctuaries  787.7 QaSxg (7.877_{E}197)  Increase the production of all other buildings by 95% per Spider Sanctuary you own. 
A480  Waste  Any  2000 Royal Exchanges  1 NoSxg (1.67_{E}210)  Increase offline production based on the amount of Royal Exchanges you purchased.
Formula: 80 * x^{0.8}%, where x is your Royal Exchanges Made stat. 
A495  Elixirs  Dwarf  500 Base Assistants
(as Drow)  731.4 NoSxg (7.314_{E}212)  Increase assistants production based on the amount of research made.
Formula: 120 * x^{0.42}%, where x is the Amount of Researches made. 
A545  Mineralogy  Any  700 Trophies  466.3 DSpg (4.663_{E}221)  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. 
A590  Hexing  Undead
Drow  200 Drow Royal Exchanges Research D25 and A410 (as Drow or Undead)  39.16 QiSpg (3.916_{E}229)  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. 
A1200  Melting  5,000 Wyrms Dens  Increase the production of all other buildings by 0.3% per Wyrm's Den.  
A1325  Calefaction  5,500 excavations (See Tips)  Increase mana regeneration based on the amount of excavations made.
Formula: floor(0.25 * x) / 10, where x is the amount of excavations made.  
A1500  Sublimation  Druid Dragon  D 590 & A 1325 & 6h Grand Balance Cast Time in a single game  Increases Max Mana based on the amount of Unique Buildings you own. 
Warfare Facility  

Lvl  Name  For  Requirement  Cost  Effect 
W1  Assault  Demon  750 Qag (7.5_{E}125)  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.  
W10  Dueling  Elf  2000 Training Grounds  28.83 Uqag (2.883_{E}127)  Increase the production of all other buildings by 90% per Elven Training Grounds you own. 
W25  War Funds  Goblin  1 Tqag (1_{E}132) Coins (This Game, as Goblin)  12.63 Dqag (1.263_{E}130)  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. 
W50  Exertion  Undead  2 days of Evil Play Time, (Total, as Demon) Play any Evil faction, but you must be Demon to unlock this.  318.8 Tqag (3.188_{E}134)  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. 
W120  Betrayal  Any  250 base assistants  676 Spqag (6.76_{E}146)  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. 
W135  Rampage  Any  580 Trophies (as Demon)  296 Ocqag (2.96_{E}149)  Increase maximum mana based on the number of trophies you have unlocked.
Formula: floor(1.25x), where x is the amount of trophies unlocked. 
W150  Invasion  Any  Research War Funds (W25) & Trophies (W135)  129.6 Noqag (1.296_{E}152)  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. 
W175  Overwhelm  Demon  Research
Assault (W1) & Invasion (W150)  3.273 UQig (3.273_{E}156)  You gain additional assistants based on total amount of evil spells cast.
Formula: floor(0.75 * x^{0.55}), where x is the amount of evil spells cast.. 
W180  Formation  Any  1000 Call to Arms Casts (Total)
Research  24.85 UQig (2.485_{E}157)  Each building counts 15 times for Call to Arms purposes. 
W200  Crusade  Any  Research Hallowing (D50) & Formation (W180)  82.65 DQig (8.265_{E}160)  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. 
W205  Berserking  Any Evil  850 Blood Frenzy Casts (Total), Research Rampage (W135) & Retribution (D150)  627.6 DQig (6.276_{E}161)  While Blood Frenzy is active, increase mana regeneration based on the amount of assistants you own.
Formula: floor(4.5 * x^{0.95}) / 10, where x is your Assistants stat. 
W225  Critical Strike  Angel  Research Dueling (W10) & Transfixion (D55)  2.087 QaQig (2.087_{E}165)  Holy Light empowers Heaven’s Domains based on Holy Light activity time in this game.
Formula: 5 * x^{0.65}%, where x is Holy Light Active Time This Game in seconds. 
W250  Swarming  Any  Research Overwhelm (W175) & Berserking (W205)  52 QiQig (5.27_{E}169)  Gain additional assistants based on the amount of trophies you unlocked.
Formula: floor(x / 8), where x is the amount of trophies unlocked. 
W260  Athletics  Titan  3,000 Olympian Halls  3.039 SxQig (3.039_{E}171)  Increase the production of all other buildings by 100% per Olympian Hall you own. 
W275  Domination  Faceless  300 Base Assistants (as Faceless)  1.331 SpQig (1.331_{E}174)  Increase Faction Coins find chance based on the highest amount of assistants you had in a single game. 
W290  Entrench  Any  2,000 Excavations  582.7 SpQig (5.827_{E}176)  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. 
W320  Shattering  Any  2,750 Excavations  1.117 NoQig (1.117_{E}180)  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. 
W330  Heroism  Any  Research Crusade (W200) & Athletics (W260)  6.443 Sxg (6.443_{E}183)  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. 
W350  Survival  Druid  Research Creeping (A300) & Synthesis (A270) (As Druid)  21.42 USxg (2.142_{E}187)  Increase the production of all other buildings based on the production of your Stonehenge Circles.
Formula: round(50 * log^{1.3}(1 + x))%, where x is the production of your Stonehenge Circles. 
W400  Siege  Any  Research Architecture (C251) & Entrench (W290)  13.66 QaSxg (1.366_{E}196)  Each building in the three highest building tiers count as 2 buildings for all purposes. Note that all purposes doesn't mean all purposes. W400 counts for most upgrade and spell formulas, but does not count for most trophies. Iron Rush is one exception. 
W405  Ambush  Drow  Secret Underground upgrade
(as Drow)  103.7 QaSxg (1.037_{E}197)  Increase the production of Spider Sanctuaries based on offline Bonus
Formula: 2.5 * x^{0.225}%, where x is Offline Production Bonus. 
W520  Stalking  Drow  Research
Exertion (W50) & Ambush (W405)  18.47 USpg (1.847_{E}217)  Gain 1 assistant for every 100 seconds of Combo Strike activity time. 
W525  Bloodlust  Any  1d12h as Evil (Total) Research
Berserking (W205) & Focus (S460)  140.2 USpg (1.402_{E}218)  Increase Blood Frenzy multiplier 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). 
W560  Resilience  Dwarf  Research
Divine Eternity (D330) & Mercy (D480)  204.2 TSpg (2.042_{E}224)  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. 
W590  Torture  Demon Drow  200 Drow Exchanges Research
Soulrending (D245) & Stalking (W520) (as Drow or Demon)  39.16 QiSpg (3.916_{E}229)  Increase assistants production based on total time spent being Evil.
Formula: 8 * x^{0.8}%, where x is your Time Spent Being Evil stat. 
W1275  Authority  12h Call to Arms cast time in a single game  Increase the production of NonUnique buildings based on the percentage of trophies you unlocked.
Formula: floor(2000 * x^{2})%, where x is trophies_{unlocked} / trophies_{max}.  
W1375  Scavenging  Any  1d Evil time spent  Increases Faction coin chance based on the amount of assistants you own.
Formula: floor(4 * x^{1.4})%, where x is the amount of assistants you own.  
W1400  Cataclysm  Dragon  Research W400 & A1200  Increase maximum mana based on the amount of clicks made in this game. 
 Research Sortable Table : Similar as the above tables, all together and sortable by "Facility", "RP#", "Faction", "What it does" and "What it is based on".
Notes & Tips Edit
Notes & Tips 


Links & Reference Edit
Guides
 Research: Step by Step (A very simple step by step guide, by Wikia editors!)
 Fastest Route Through R16 Researches (A more complete guide by why_amihere)
Reference & Tools
 Research Builds
 Sortable Research Table  by wikieditors!
 Purchasable Research Upgrades by Faction (up to 250 RP)
 Research Upgrades by Effect (up to 400 RP)
 Research spreadsheet (up to 400 RP)  by naabu
 Research build maker spreadsheet (up to 590 RP)  by Rahler
 Research Checklist google ods file to download  by vailsixclaw
References Edit
 Most Vanilla and Neutral research information and formulas come from Berkrooster's post.
 Some Prestige research information comes from Curunur's post. (As for the formulas, they are scattered all over the forum, hence no source link. Credit goes to many players, including Naidsipo, all the anonymous 'formula discoverers', also big thanks to those who have found them and taken the time to copy them here.)
 ↑ RG v1 in game description seems to have disappeared in v2.
 ↑ Secret expansion series: Secrets of the Realm, Secrets of the ancients, Secrets of the underworld.
 ↑ PA RP cost formula from game source code  source Pseudobyte  see comment.
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