Research

In-game description:
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 bringing "secret" powers to enhance each mythical faction. it is accessible from R16 for Vanilla, R23 for Neutral, R29 for Prestige Factions, R46 for the Dragons, and R75 for Mercenaries.

The Facilities & Related Factions

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	In-game Description
	Spellcraft	Fairy Faceless Drow	Delve into the arcane mysteries of Spellcraft, discovering new ways to produce and use your 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 near-unlimited 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

Research Points (RPs): Facilities are leveled-up with RPs, which in turn increase the production of the related faction. Each reincarnation, you will receive a defined, and increasing, amount of RPs to meet the increasing costs of the facilities.

Research Slots (RSs): At specific RPs, the facilities will gain new upgrades. 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.

Formulas

Facility RP Production: $350x350x^{0.75}\%$ or 0% if x is 0, where x is the number of corresponding Research Points}} Facility cost: 10 Notg (1E121) coins, 1 M (1E6) related Faction(s) coins, 1 Dvg (1E69) gems Facility RP Cost: $1e126 * 1.5^x$ Coins and $(x + 1)^3$ Faction Coins (PA) Facility RP Cost: $1e42 * 1.147 ^{(x-780)}$ and $(x + 1)^3$ Faction Coins  RPs available per R Formula: $(x + 1) * x / 2$  where x is Reincarnation. As of 3.0, Research Points are capped at 5000 for each facility.

Research Points & Slots per R#
R#	RP	RS	RP Upgrades	RS Upgrades
16	136	24	1; 10; 25; 30; 50; 55; 80; 105; 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: For Dwarf: +2 Craftsman slots, +1 slot to the facility related to the faction you are playing, obtained from the Legacy of The Dwarven Kings archeology upgrade. For Drow: +2 Warfare slots, +1 slot to the facility related to the faction you are playing, obtained from Dark Light of Bondelnar archaeology upgrade.
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	-
46	1081	30/32/33	-	Spiky Rough Egg artifact leads to unlocking Neutral Prestige Research.
47	1128	30/32/33	1125	-
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	-
70	2485	36/38/39	-	+1 Slot for each facility Changed to R90 [1]
75	2850	36/38/39	2775	Obsidian Shard artifact leads to unlocking Mercenary Research.
76	2926	30/32/33	2875	-
77	3003	30/32/33	2950; 3000	-
78	3081	30/32/33	3050	-
79	3160	30/32/33	3100; 3150	-
80	3240	30/32/33	3200	-
81	3321	30/32/33	3250; 3300	-
82	3403	30/32/33	3350; 3400	-
90		36/38/39	-	+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 2.5E152	Increase Spellcraft upgrade slot by 1
	Artisan	R19	Discover at least 10 Craftsmanship Researches	250 Noqag 2.5E152	Increase Craftsmanship upgrade slot by 1
	Demigod	R20	Discover at least 10 Divine Researches	250 Noqag 2.5E152	Increase Divine upgrade slot by 1
	Businessman	R20	Discover at least 10 Economics Researches	250 Noqag 2.5E152	Increase Economics upgrade slot by 1
	Apothecary	R17	Discover at least 10 Alchemy Researches	250 Noqag 2.5E152	Increase Alchemy upgrade slot by 1
	Warlord	R20	Discover at least 10 Warfare Researches	250 Noqag 2.5E152	Increase Warfare upgrade slot by 1
	Ancient Device	R23	Find the Ancient Device artifact (Play a Neutral Faction, 2000+ Excavations)	100 QiSxg 1E200	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 (1E232), 100 M (1E8) 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 (1E232), 100 M (1E8) 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

All the upgrades below, except the Unique building upgrades, only need to be bought once and do not count the bought-upgrade stats.

Quests & Requirements
Faction	Icon	Name	In-game 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 (1E100)
		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. +Access to the Research Facilities.	Buy Enchanted Field Quest	10 Ttg (1E103)
		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	10 Notg (1E121) coins, 1 M (1E6) 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 (1E100)
		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 (1E103)
		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	10 Notg (1E121) coins, 1 M (1E6) 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 (1E100)
		Heaven's Domain	Upgrade Heaven's Gate To Heaven's Domains, boosting their production by x250 per spell affecting them and unlocking more unique perks for the building. +Access to the Research Facilities.	Buy Heaven's Domain Quest	10 Ttg (1E103)
		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	10 Notg (1E121) coins, 1 M (1E6) 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 (1E100)
		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_{10}(1+x))^{(3.1/(1+0.1*(y+1)))}/30)) where x is your current amount of Coins and y is ascension. +Access to the Research Facilities.	Buy Goblin Banks Quest	10 Ttg (1E103)
		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	10 Notg (1E121) coins, 1 M (1E6) 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 (1E100)
		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 (1E103)
		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	10 Notg (1E121) coins, 1 M (1E6) 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 (1E100)
		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 (1E103)
		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	10 Notg (1E121) coins, 1 M (1E6) 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.	Key To The Lost City artifact (R23+), Neutral Unique Building	10 Noqag (1E151) Coins, 1 M (1E6) 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 + 2000 Halls of Legends	10 Dtg (1E100)
		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.	Olympian Halls Quest	10 Ttg (1E103)
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 + 2000 Stone Pillars	10 Dtg (1E100)
		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.	Stonehenge Circles Quest	10 Ttg (1E103)
Faceless		Sunken Cities Quest	C-uh'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 + 2000 Labyrinths	10 Dtg (1E100)
		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.	Sunken Cities Quest	10 Ttg (1E103)
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 (1E200), 10 M (1E7) 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 (1E184)
		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 (1E187)
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 (1E184)
		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: $30 * x^{0.8}$  where x is your Time Spent Offline (Total) stat. +Access to the Drow Research.	Spider Sanctuary Quest	10 USxg (1E187)
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 (1E74)
		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. Formula: $(0.065 * (ln(1 + x/ 2 + y))^{3.65})$ where x is Faction Coins (This Game) and y is Faction Coins (This R). +Access to the Dragon Research.	Wyrm's Den Quest + Dragon's Trade Treaty	100 Dvg (1E71)
Mercenary
		Obsidian Shard	Extremely hard and black as darkness itself, this material cannot apparently be carved or melted. It is a mystery how you can make this thing into a sword.	Found on the 8000th excavation at R75
		Secrets of the Warriors	Unlocks research for Mercenaries and increases their production by 1000%.	Mercenary Unique Building, Obsidian Shard Artifact	100 Qiqag (1E140) Coins, 10 Qa (1E16) FCs of each
		Mercenary Encampment Quest	We salute you, commander. Your strategical skills had not gone unnoticed within our ranks. We have decided to offer you a chance to establish a formal encampment within your boundaries... Build more structures to strengthen our city. Unlocks Unique Building upgrades	R75 + 125K buildings	10 Notg (1E121)
		Mercenary Camp (Good)	Upgrade Knights Jousts to Mercenary Camps, boosting their production based on the amount of Non-Unique buildings you own and unlocking more unique perks for the building. Formula: $1.5 * (1 + x)$  where x is the number of Non-Unique Buildings you own. +Access to the Mercenary Research.	Mercenary Encampment Quest	10 Dqag (1E130)
		Tyrant Garrison (Evil)	Upgrade Evil Fortresses to Tyrant Garrisons, boosting their production based on Offline Production Bonus and unlocking more unique perks for the building. Formula: $0.5 * \log_{10}(1+x)^{4.5}$  where x is the Offline Production Bonus. +Access to the Mercenary Research.	Mercenary Encampment Quest	1 Tqag (1E132)
		Freemason's Hall (Neutral)	Upgrade Alchemist Labs to Freemason's Hall, Boosting their production based on the highest amount of assistants you had in a single game (This R) and unlocking more unique perks for the building. Formula: $2.5 * x^{2.5}$  where x is assistants you had in a single game (This R). +Access to the Mercenary Research.	Mercenary Encampment Quest	1 Tqag (1E132)

Research Upgrades by Facility

Spellcraft Facility

R16 - R22 S1 - S251 Lvl Name For Requirement Cost Effect S1 Enchanting Fairy - 750 Qag (7.5E125) 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 (2.883E127) Increase the production of all other buildings by 110% per Heaven's Domain you own. S30 Vacuumancy Any Have 4000 Mana 95.88 Dqag (9.588E130) Increase maximum mana and mana regeneration rate based on time spent in this game. Formula: Maximum Mana: $floor(45 * x)$ Mana Regeneration: $\frac {floor(75x^{0.4})} {10}$ where x is your Playtime (This Game) stat in hours S50 Conjuration Goblin Have 6000 mana (as Fairy) 318.8 Tqag (3.188E134) 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. S105 Mysticism Any 600 Researches 1.544 Spqag (1.544E144) Increase mana regeneration based on the amount of research made. Formula: $floor(x^{0.5})$  where x is number of researches made. S135 Augmentation Any 4000 Unique Buildings (as Fairy) 296 Ocqag (2.96E149) 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) & Fusion (A105) 129.6 Noqag (1.296E152) 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 (3.273E156) 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 (3.273E156) 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. S200 Cryomancy Any Research Conjuration (S50) & Refraction (A55) 82.65 DQig (8.265E160) Increase the production of all buildings based on your current mana (the less mana, the better bonus). Formula: $round((100-x)^{1.75})\%$  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 (3.616E163) 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) S225 Necromancy Undead Research Resurrection (D175) & Cryomancy (S200) 2.087 QaQig (2.087E165) 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 (5.27E169) 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 (7.905E169) 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 non-Faceless factions. R23 - R39 S270 - S590 Lvl Name For Requirement Cost Effect S270 Runecarving Any 500,000 clicks (This game) 175.2 SxQig (1.752E173) 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. S300 Chain Lightning Titan 25 Brainwave Casts (Total) 33 OcQig (3.36E178) While Lightning Strike is active, all non-target 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. S305 Mesmerization Faceless 2 days as Faceless (Total across all R) 225.2 OcQig (2.252E179) 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 pre-Ascension offline multiplier. S330 Reverberation Any Research Cryomancy (S200) & Weather Control (D225) 6.443 Sxg (6.443E183) 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. S375 Illusion Faceless Research Reverberation (S330) & Mesmerization (S305) (as Faceless) 541 DSxg (5.41E191) 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. S400 Capacity Any Research Projection (S215) & Domination (W275) 13.66 QaSxg (1.366E196) 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. S435 Spellbinding Drow 4h Combo Strike Cast Time (This game) 1.989 Spg (1.989E213) Passively grants the effects from Call to Arms while offline. S460 Focus Any 25000 spells cast (This game) 5.023 SpSxg (5.023E204) 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 (5.554E213) Increases maximum mana based on the number of owned artifacts. Formula: $100 * x^{1.1}$  where x is artifacts. S545 Hierarchy Any 10 M (1E7) mana produced (this game) 466.3 DSpg (4.663E221) 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. S590 Trickery Fairy Dwarf 200 Dwarf Exchanges as Dwarf/Fairy, Research S105 and S375 39.16 QiSpg (3.916E229) Increase the production of Neutral buildings based on maximum Mana. Formula: $0.5*x^{1.05}\%$  where x is Maximum Mana. Post-A S1275 and up Lvl Name For Requirement Cost Effect S1275 Sequence Any 60,000 Spells cast 555.1 Dvg (5.551E71) 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 Spellbinding (S435) & Plasmation (C1325) 23.26 Sxvg (2.326E82) 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. S1500 Psionics Faceless Dragon 1000 Base Assistants Hierarchy (S545) & Intimidation (E1325) 25 Spvg (2.52E85) 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. S2875 Scholarship Merc 11000 Merc Unique Buildings 7 QiQig (7.26E168) Increase the production of Non-Unique buildings by 40% per Unique building. S3200 Manipulation Any 1B Tax Collection casts, Calefaction (A1325) & Psionics (S1500). 387 USxg (3.87E188) 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%.

Craftsmanship Facility

R16 - R22 C1 - C251 Lvl Name For Requirement Cost Effect C1 Dummy Targets Elf 750 Qag (7.5E125) 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 Enchanted fields 28.83 Uqag (2.883E127) Increases production of Blacksmith and Inn by 60% per Enchanted field that you have. C25 Light Condenser Angel 12,000 Spells cast (This R) 12.63 Dqag (1.263E130) 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 (1E9) Faction Coins (as Elf) 318.8 Tqag (3.188E134) 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 (6.113E139) 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 (1.544E144) 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. C120 Socketing Any 200,000 clicks (This Game) 676 Spqag (6.76E146) 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 (2.96E149) 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 (1.296E152) 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 (3.273E156) 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. C200 Journeymen Any Research Apprenticeship (C80) & Bartering (E50). 82.65 DQig (8.265E160) 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 (2.087E165) Each Elven Training Grounds counts as 200 buildings for Call to Arms purposes. C250 Magnetism Any Research Tinkering (C150) & Critical Strike (W225). 52 QiQig (5.27E169) 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. C251 Architecture Titan Play as Titan 79.05 QiQig (7.905E169) 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. R23 - R39 C300 - C590 Lvl Name For Requirement Cost Effect C300 Weighting Druid 650 Lightning Strike Casts (Total) 33 OcQig (3.36E178) 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. C305 Golemcraft Titan 2d Time Spent affiliated with Titans (Total across all R) 255.2 OcQig (2.552E179) 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. C330 Overload Any Research Aeromancy (S250) & Critical Strike (W225) 6.443 Sxg (6.443E183) 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 Sifting (E260) & Surveyorship (E290) 371.5 Sxg (3.715E185) 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) (as Titans) 541 DSxg (5.41E191) 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 (1.366E196) 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. C405 Metallurgy Dwarf Secrets of the Underworld upgrade (as Dwarf) 103.7 QaSxg (1.037E197) 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 1 M (1E6) Clicks (this game) 502.3 SpSxg (5.023E206) Increase the production of non-unique 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 (5.554E213) 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 (1.847E217) 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 (3.916E229) 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. Post-A C1300 and up Lvl Name For Requirement Cost Effect C1300 Scintillation Dragon 30,000 max mana 18.27 Tvg (1.827E73) Increases the production of all buildings based on maximum mana and production bonus from Gems. Higher boost for lower Gem bonus. C1325 Plasmation Any 50 M (5E7) mana produced (this game) 601.6 Tvg (6.016E74) Gain assistants based on mana produced in this game. Formula: $floor(1.25 * ln(1 + x)^2)$  where x is mana produced (this game). C1500 Gargantuaness Titan Dragon 2500 Royal Exchanges, Inflation (E460) & Solemnity (D1275) (As Titans) 25 Spvg (2.52E85) 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. C3000 Customizing Neutral Merc 9000 Excavations (as Mercenary) 280.7 SpQig (2.807E176) Increase the production of all buildings based on the amount of artifacts you own. Formula: $1.65 * x^{1.65}$  where x is artifacts. C3100 Engineering Any 15d Total Mercenary Time 329.6 NoQig (3.296E182) 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.

Divine Facility

R16 - R22 D1 - D250 Lvl Name For Requirement Cost Effect D1 Blessing Angel 750 Qag (7.5E125) 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 2000 Infernal Realms 28.83 Uqag (2.883E127) Increase the production of all other buildings by 110% per Infernal Realm you own. D25 Cursing Undead Play 5 hours Offline (This Game, as Undead) 12.63 Dqag (1.263E130) 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. D50 Hallowing Elf 15,000 Good Buildings (as Angel) 318.8 Tqag (3.188E134) 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. D55 Transfixion Any Produce 3 M (3E6) Mana (This Game) 2.421 Qaqag (2.421E135) 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 (2.96E149) 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. D150 Retribution Any Research Betrayal (W120) & Transfixion (D55). 129.6 Noqag (1.296E152) 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. D175 Resurrection Angel Research Blessing (D1) & Refraction (A55) 3.273 UQig (3.273E156) 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). D200 Transcendence Any Research Resurrection (D175) & Illumination (D135) 82.65 DQig (8.265E160) Decrease the cost of all spells by 20% and increase their duration by 20%. D205 Communion Any Good 777 Holy Light Casts (This R), Research Gemcutting (C175) & Illumination (D135) 627.6 DQig (6.276E161) Increase Holy Light duration by 110 seconds. D225 Weather Control Fairy Research Light Condenser (C25) & Vacuumancy (S30) 2.087 QaQig (2.087E165) 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 Sanctification Any 500 Spiritual Surge Casts (Total), Research Soulweaving (A175) & Necromancy (S225) 6 QiQig (6.94E168) Reincarnations count twice for Spiritual Surge.Increase the production of Unique Buildings based on the amount of Non-Unique buildings you own. Formula: $2.5*x^{0.55}\%$  where x is the number of Non-Unique buildings you own. D250 Demonology Any Research Transcendence (D200) & Pyromancy (S150) 52 QiQig (5.27E169) 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. R23 - R39 D260 - D590 Lvl Name For Requirement Cost Effect D260 Mutation Faceless 3,000 Sunken Cities 3.039 SxQig (3.039E171) 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 (1.331E174) 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. D290 Transubstantiation Any 1 Rough Stone Artifact 582.7 SpQig (5.827E176) 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. D320 Deliverance Any 350 m/s Mana Regen 1.117 NoQig (1.117E180) 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 (6.443E183) Double the duration of all faction spells. D350 Descent Titan Research Swarming (W250) & Heroism (W330) (as Titan) 21.42 USxg (2.142E187) 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 (1.366E196) Increase the Production of a random building by x250. Target changes every 2 minutes. While offline, increase the production of all buildings by x75. D435 Devotion Dwarf 4h Diamond Pickaxe Cast Time (This Game) 19.89 SxSxg (1.989E202) 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, (This R, 1d12 in total) 1 NoSxg (1.67E210) 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. D525 Purity Good 1d12h as Good, Research Communion (D205) & Devotion (D435) (This R, as any good faction) 140.2 USpg (1.402E218) 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 Necromancy (S225) and Heirlooms (S500) (as Drow) 204.2 TSpg (2.042E224) 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 Shattering (W320) & Waste (A480) (as Dwarf/Angel) 39.16 QiSpg (3.916E229) Increase the production of Unique buildings based on mana regeneration. Formula: $2.5*x^{1.25}\%$  where x is your Mana per Second stat. Post-A D1125 and up Lvl Name For Requirement Cost Effect D1125 Oblation Dragon Buy Wyrm's Den. 436.2 Nod (4.362E62) 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). D1275 Solemnity Any 80K Total buildings (unaffected by W400, Iron Rush and Dwarf challenge) 555.1 Dvg (5.551E71) Increase the production of each building by 0.3% per building of the same type. D1375 Sanctification Any 7 days Good Time Spent (Total) 651.9 Qavg (6.519E77) Increase the production of Unique Buildings based on the amount of Non-Unique buildings you own. Formula: $2.5*x^{0.55}\%$  where x is the number of Non-Unique buildings you own. D2775 Intervention Merc Secrets of the Warriors upgrade 6.182 TQig (6.182E162) Increase the production of Unique Building based on time spent with Mercenaries. Formula: $0.1 * x^{0.7}$  where x is time spent with Mercenary. D3350 Vampirism Any 1 Sp (1E24) Offline Bonus, D2775 (Intervention) & W3150 (Upheaval) 492.5 QaSxg (4.925E197) Increase offline production based on the amount of Reincarnations you made. Formula: $1.7 * x^{1.7}$  where x is Reincarnation count.

Economics Facility

R16 - R22 E1 - E250 Lvl Name For Requirement Cost Effect E1 Coinage Goblin 750 Qag (7.5E125) Increase the production of Goblin Banks based on the amount of buildings you own. Formula: $round(0.8*x^{0.8}))\%$  where x is your Buildings Owned (This Game) stat. E10 Recycling Undead 2,000 Undercities 28.83 Uqag (2.883E127) Increase the production of all other buildings by 95% per Undercity you own. E25 Commerce Elf 100 M (1E8) FCs 12.63 Dqag (1.263E130) 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 (9.588E130) Increases Faction Coin find chance and Royal Exchange bonus based on time spent in this game. Formula: Faction Coin Chance: $floor(1.5*x^{1.05})\%$ Royal Exchange bonus: $floor(x^{0.6})\%$ where x is Playtime (This Game) in minutes. E50 Bartering Fairy 1,000 Exchanges (as Goblin) 318.8 Tqag (3.188E134) 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 (6.113E139) 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 (2.96E149) 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 50,000 Tax Collection Casts (Total), Research Cultivation (C10) & Woodcraft (C105) 17.07 Noqag (1.707E151) Increase Tax Collection reward by 30 seconds of production. E150 Investment Any Research Bribing (E135) & Commerce (E25) 129.6 Noqag (1.296E152) 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 (8.265E160) Increase the production of all buildings based on your percentage of trophies unlocked. Formula: $round(0.0003 * (100 * x)^{3.35})$  where x is trophiesunlocked / trophiesmax. E225 Forgery Goblin Research Coinage (E1) & Gilding (A50) 2.087 QaQig (2.087E165) 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 (2.087E165) 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 (5.27E169) 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. R23 - R39 E260 - E590 Lvl Name For Requirement Cost Effect E260 Sifting Druid 3000 Stonehenge Circles 3.039 SxQig (3.039E171) 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. E275 Offering Titan 1,250 Royal Exchanges (as Titans) 175.2 SxQig (1.752E173) Increase mana regeneration based on your Royal Exchange Bonus. Formula: $floor(0.9 * x^{0.95}) / 10$  where x is your Royal Exchange Bonus. E290 Surveyorship Any 7 Artifacts 582.7 SpQig (5.827E176) 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 (1.117E180) 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 (6.443E183) 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 (2.142E187) 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 (1.366E196) 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 (7.877E197) Increase production of all other buildings by 85% per Dwarven Forge you own. E460 Inflation Any 100 B (1E11) Faction Coins 502.3 SpSxg (5.023E206) 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 15,000 Max mana 1 NoSxg (1.67E210) Increase the production of non-unique buildings based on total spells cast. Formula: $0.65*x^{0.65}\%$  where x is your Spells Cast (Total) stat. E495 Jewellery Drow 12,000 Unique Buildings (as Dwarf) 731.4 NoSxg (7.314E212) 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 Automatons (C225) and Undercutting (E480) 39.16 QiSpg (3.916E229) Gain additional assistants based on the amount of Non-Unique buildings you own. Formula: $floor(0.1 * x^{0.8})$  where x is the number of Non-Unique Buildings you own. Post-A E1225 and up Lvl Name For Requirement Cost Effect E1225 Hoarding Dragon 1 T (1E12) Faction coins 512.3 Uvg (5.123E68) Reduce Ascension 1 penalty for Royal Exchanges. Formula: ((((((bonus per RE as %)^0.2(if E1225)) * #REs)/100)+1)^0.1(if not E1225). E1325 Intimidation Any 18,000 unique buildings 601.6 Tvg (6.016E74) 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. E1425 Rarity Neutral 15d Time Spent (5 days each with Titan, Druid, and Faceless), Research Mineralogy (A545) & Scintillation (C1300) 706.4 Qivg (7.064E80) 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) E3300 Estates Merc 45,000 Unique Buildings, Research Hoarding (E1225) & Combination (A2950) 419.4 DSxg (4.194E191) Gives you all the Unique Buildings of your alignment. E3250 Hirelings Any Research Intimidation (E1325) & Scholarship (S2875) 454.5 TSxg (4.545E194) Gives assistants based on the gold you have. Formula: $2 * \log_{10}(x + 1) additive$  where x is gold you have.

Alchemy Facility

R16 - R22 A1 - A251 Lvl Name For Requirement Cost Effect A1 Plague Undead 750 Qag (7.5E125) Increase the production of Undercities by 8% per assistant you own. A10 Transmutation Goblin 2250 Goblin Banks 28.83 Uqag (2.883E127) 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 (1.263E130) Reduces Hellfire Blast duration by 16 seconds, reduces its mana cost by 200 and multiplies its effect by 1000%. A30 Delayed Reaction Fairy 750 Fairy Chanting Casts (Total) 12.63 Dqag (1.263E130) 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: Additive Production increase: $floor(1000 * t^{1.5})$ Duration increase: $floor(x / 800)^{0.8})$ seconds where t is how long FC has been active in seconds, and x is the number of Farms, Inns, and Blacksmiths you own. A50 Gilding Angel 120 m/s Mana Regen (as Undead) 318.8 Tqag (3.188E134) 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 (2.421E135) Improve offline production based on spells cast. Formula: $round5*x^{0.85}\%$  where x is your Spells Cast (Total) stat. A105 Fusion Any 2750 Blacksmiths 1.544 Spqag (1.544E144) 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 (6.76E146) Gain additional assistants based on max mana. Formula: $floor(x/15)^{0.825})$  where x is your maximum mana. A135 Decay Any 1 Day Play Time in current Reincarnation (Across all Factions, but must be Undead to unlock) 296 Ocqag (2.96E149) 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 (1.296E152) 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 (3.273E156) 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 (8.265E160) 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 (5.27E169) 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 (7.905E169) 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. R23 - R39 A270 - A590 Lvl Name For Requirement Cost Effect A270 Synthesis Any 20 B (2E10) Faction Coins (This game) 175.2 SxQig (1.752E173) 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. A300 Creeping Faceless Produce 5 M (5E6) mana (This game, as Druid) 33 OcQig (3.36E178) 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. A305 Engraving Druid 2 days as Druids (Total across all R) 255.2 OcQig (2.552E179) 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 Formula: $floor((\ln(x)+0.69)^{2.75})\%$  where x is your Spells Cast (This Game) stat. A330 Adaptation Any Research Mutation (D260) & Meditation (D275) 6.443 Sxg (6.443E183) 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) (as Druid) 541 DSxg (5.41E191) 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 (1.366E196) 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. If you buy a prestige faction upgrade, bloodspring will switch to the prestige bloodline. A410 Poisons Drow 4000 Sanctuaries 787.7 QaSxg (7.877E197) Increase the production of all other buildings by 95% per Spider Sanctuary you own. A480 Waste Any 2000 Royal Exchanges 1 NoSxg (1.67E210) 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. A495 Elixirs Dwarf 500 Base Assistants (as Drow) 731.4 NoSxg (7.314E212) 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 (4.663E221) Increase mana regeneration based on the amount of Gems you own. Formula: $log10(x) / 2$  where x is Gems you own. A590 Hexing Undead Drow 200 Drow Royal Exchanges Research D25 and A410 (as Drow or Undead) 39.16 QiSpg (3.916E229) 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. Post-A A1200 and up Lvl Name For Requirement Cost Effect A1200 Melting Dragon 5000 Iron Stronghold, Any Neutral Dragon 15.56 Uvg (1.556E67) Increase the production of all other buildings by 0.35% per Iron Strongholds. A1325 Calefaction Any 4,500 excavations 144.9 Tvg (1.449E74) Increase mana regeneration based on the amount of excavations made. Formula: $floor(0.02 * x)$  where x is current excavations. A1500 Sublimation Druid Dragon 6h Grand Balance Cast Time (This game) Research Dispelling (D590) & Calefaction (A1325) 25 Spvg (2.52E85) 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. A2950 Combination Merc All Lineages level at 15. 259 SxQig (2.59E173) Select an additional Bloodline. You also gain all the base effect of its respective Lineage. A3400 Chemistry Any 1 No (1E30) FC, Research Customizing (C3000) & Manipulation (S3200) 533.7 QiSxg (5.337E200) 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..

Warfare Facility

R16 - R22 W1 - W250 Lvl Name For Requirement Cost Effect W1 Assault Demon 750 Qag (7.5E125) 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 (2.883E127) Increase the production of all other buildings by 90% per Elven Training Grounds you own. W25 War Funds Goblin 1 Tqag (1E132) Coins (This Game, as Goblin) 12.63 Dqag (1.263E130) 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 12 hours of Evil Play Time, (This Reincarnation, as Demon) Play any Evil faction, but you must be Demon to unlock this. 318.8 Tqag (3.188E134) 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 (6.76E146) Increase the production of non-unique 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 (2.96E149) 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) & Rampage (W135) 129.6 Noqag (1.296E152) 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 (3.273E156) You 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. W180 Formation Any 1000 Call to Arms Casts (This R) Research Dueling (W10) & Exertion (W50) 24.85 UQig (2.485E157) Each building counts 15 times for Call to Arms purposes. W200 Crusade Any Research Hallowing (D50) & Formation (W180) 82.65 DQig (8.265E160) 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 (6.276E161) 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. W225 Critical Strike Angel Research Dueling (W10) & Transfixion (D55) 2.087 QaQig (2.087E165) 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. W250 Swarming Any Research Overwhelm (W175) & Berserking (W205) 52 QiQig (5.27E169) Gain additional assistants based on the amount of trophies you unlocked. Formula: $floor(x / 8)$  where x is the amount of trophies unlocked. R23 - R39 W260 - W590 Lvl Name For Requirement Cost Effect W260 Athletics Titan 3000 Olympian Halls 3.039 SxQig (3.039E171) 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 (1.331E174) 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. W290 Entrench Any 2000 Excavations 582.7 SpQig (5.827E176) 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 2650 Excavations 1.117 NoQig (1.117E180) 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 (6.443E183) 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 (2.142E187) 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. W400 Siege Any Research Architecture (C251) & Entrench (W290) 13.66 QaSxg (1.366E196) 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.) W405 Ambush Drow Secrets of the Underworld upgrade (as Drow) 103.7 QaSxg (1.037E197) Increase the production of Spider Sanctuaries based on offline Bonus Formula: $3.25 * log(1+x)^{3.25}$  where x is Offline Production Bonus. W520 Stalking Drow Research Exertion (W50) & Ambush (W405) (as Drow) 18.47 USpg (1.847E217) Gain 1 assistant for every 100 seconds of Combo Strike activity time. (This Game) W525 Bloodlust Any 1d12h as Evil (This R), Research Berserking (W205) & Focus (S460) 140.2 USpg (1.402E218) 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). W560 Resilience Dwarf Research Divine Eternity (D330) & Mercy (D480) (as dwarf) 204.2 TSpg (2.042E224) 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 (3.916E229) Increase assistants production based on total time spent being Evil. Formula: $8*x^{0.8}\%$  where x is your Time Spent Being Evil stat. Post-A W1275 and up Lvl Name For Requirement Cost Effect W1275 Authority Any 12h Call to Arms cast time (This game) 555.1 Dvg (5.551E71) Increases the duration of all spells based on the activity time of Call to Arms in the current reincarnation. Formula: $(x^{0.5})\%$  where x is Call to Arms active time This Reincarnation in seconds. W1375 Scavenging Any 7 days spent as Evil (Across all Rs) 651.9 Qavg (6.519E77) 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. W1400 Cataclysm Neutral, Dragon Research Siege (W400) & Melting (A1200) 21.46 Qivg (2.146E79) 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. W3050 Flanking Merc 50,000 Base Assistants, Research Authority (W1275) & Intimidation (E1325) 304.1 OcQig (3.041E179) 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. W3150 Upheaval Any 60,000 Farms, Inns, and Blacksmiths 357.2 Sxg (3.572E185) Increase the production of all buildings based on their tier, giving the best bonus to the lowest. Formula: $150 * (12-x)^{2.15}$  where x is building tier.

• Sortable Research Table: Similar as the above tables, all together and sortable by "Facility", "RP#", "Faction", "What it does", and "What it's based on".

Notes & Tips

Notes & Tips

E150 and S200 may cause income per second to appear going down when purchasing Royal exchanges.(source) 1-135RP unlock order and tips by why_amihere W320 build Flame of Bondelnar: There are 2 builds by artcrow for this 590RPs: 200 dwarf or drow Royal Exchanges. A full mana+assistant build seems to be fastest. Druidline outweights Elfline. source S300 can be done faster just by repeatedly casting Brainwave and abdicating, without waiting for the end of the spell.

Links & Reference

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
• Research Upgrades by Effect
• 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 (updated to Post-A by Lycentia) - by vailsixclaw ^Original

References

• 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.)