Information about how Research Slots / Budget work can be found at Research.
All Researches can also be found in a graphical form at: Research Tree.
Research Facilities:
S1 - For Fairy
Research Name: Enchanting
Cost: 750 Qag (7.5e125)
Effect: Increase the production of Enchanted Fields based on mana produced in this game.
Formula: (0.75 * x ^ 0.75)%, where x is your mana produced this game.
S10 - For Angel
Research Name: Channeling
Hint: Open the Gates of Heaven.
Requirement: 2,000 Heaven's Gate. (This Game)
Cost: 28.83 Uqag (2.883e127)
Effect: Increase the production of all other buildings based on the amount of Heaven's Domain you own.
Formula: (110 * x)%, where x is the amount of Enchanted Fields you own.
S30 - For All Factions
Research Name: Vacuumancy
Requirement: Have 4,000 Mana. (This Game)
Cost: 95.88 Dqag (9.588e130)
Effect: Increase Maximum Mana and Mana Regeneration rate based on time spent in this game.
Maximum Mana Formula: +(0.1 * x), where x is time spent in this game.
Mana Regeneration Formula: +(0.5 * x ^ 0.5), where x is time spent in this game.
S50 - For Goblin
Research Name: Conjuration
Hint: Under a large blue pool...
Requirement: Have 6,000 mana (as Fairy) (This Game)
Cost: 318.8 Tqag (3.188e134)
Effect: Each time you cast a spell you also cast free Tax Collections based on the amount of Goblin Banks you own.
Effect: Also increases offline spell cast amount multiplicatively by 150%.
Formula: floor((x / 600) ^ 0.9), where x is the number of Goblin Banks you own.
S105 - For All Factions
Research Name: Mysticism
Hint: I am a Research among Researches.
Requirement: 600 Researches (Total)
Cost: 1.544 Spqag (1.544e144)
Effect: Increase Mana Regeneration based on the amount of research made.
Formula: +floor(x ^ 0.5), where x is the amount of researches made.
S135 - For All Factions
Research Name: Augmentation
Hint: More Unique buildings will do the trick!
Requirement: 4,000 Unique Buildings (as Fairy) (This Game)
Cost: 296 Ocqag (2.96e149)
Effect: Increase the production of Unique Buildings based on Maximum Mana.
Formula: round(2 * x^0.8)%, where x is your Maximum Mana.
S150 - For All Factions
Research Name: Pyromancy
Requirement: Research Inflame (D10) & Fusion (A105)
Cost: 129.6 Noqag (1.296e152)
Effect: Increase the production of the two highest building tiers based on your Mana Regeneration.
Formula: (8 * x ^ 0.8)%, where x is your Mana Regeneration.
S175 - For Elf
Research Name: Empowered Luck
Requirement: Research Blessing (D1) & Augmentation (S135)
Cost: 3.273 UQig (3.273e156)
Effect: Increase production of buildings by 36,000% for 20 seconds each time you trigger Elven Luck and increase the chance to trigger it by +24%.
S180 - For Fairy
Research Name: Incantation
Requirement: Research Enchanting (S1) & Mysticism (S105)
Cost: 3.273 UQig (3.273e156)
Effect: 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 own.
S200 - For All Factions
Research Name: Cryomancy
Requirement: Research Conjuration (S50) and Refraction (A55)
Cost: 82.65 DQig (8.265e160)
Effect: Increase Spell Duration based on mana produced in this game.
Formula: (5 * ln(1 + x) ^ 1.5)%, where x is mana produced this game.
S215 - For All Factions
Research Name: Projection
Hint: How many of these are required for a seance?
Requirement: 300 Spiritual Surge (Total this R), Research Channeling (S10) & Incantation (S180)
Cost: 36.16 TQig (3.616e163)
Effect: While Spiritual Surge is active, increase the production of all buildings based on the amount of active spells.
Formula: (100 * (10 * x) ^ y)%, where x is active spells and y is Spiritual Surge tier.
S225 - For Undead
Research Name: Necromancy
Requirement: Research Resurrection (D175) & Cryomancy (S200)
Cost: 2.087 QaQig (2.087e165)
Effect: 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 - For All Factions
Research Name: Aeromancy
Requirement: Research Weather Control (D225) & Explosives (A150)
Cost: 52 QiQig (5.27e169)
Effect: Increase the production of Unique Buildings based on mana produced in this game.
Formula: (round(0.5 * x ^ 0.58))%, where x mana produced this game.
S251 - For Faceless
Research Name: Assimilation
Requirement: Secrets of the Ancients (as Faceless)
Cost: 79.05 QiQig (7.905e169)
Effect: 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 time spent as non-Faceless factions in this Reincarnation.
S270 - For All Factions
Research Name: Runecarving
Hint: Click your way through.
Requirement: 500,000 clicks (This game)
Cost: 175.2 SxQig (1.752e173)
Effect: Increase the production of all buildings based on the amount of Gems you own.
Formula: (1.25 * log10(1 + x) ^ 1.25)%, where x is the amount of Gems you own.
S300 - For Titan
Research Name: Chain Lightning
Hint: I can feel the waves...
Requirement: 25 Brainwaves (Faceless) (This R)
Cost: 33 OcQig (3.36e178)
Effect: Lightning Strike duration will not be modified by other effects. While Lightning Strike is active, all non-target 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 Strike activity time this game.
S305 - For All Factions
Research Name: Mesmerization
Hint: Face not required for a long time.
Requirement: 2 days as Faceless (across all Reincarnations)
Cost: 225.2 OcQig (2.252e179)
Effect: Increase the production of all buildings by a fraction of your Offline Production Bonus.
Formula: (2.5 * log10(1 + x) ^ 2.5)%, where x is your (pre-Ascension) offline production bonus as a multiplier.
Note: This research is treated as an A1 upgrade for A-nerf purposes.
S330 - For All Factions
Research Name: Reverberation
Requirement: Research Cryomancy (S200) & Weather Control (D225)
Cost: 6.443 Sxg (6.443e183)
Effect: 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: (3000 * 2 ^ (x - 3))%, where x is the number of currently active spells (capped at 300 spells).
S375 - For Faceless
Research Name: Illusion
Requirement: Research Reverberation (S330) & Mesmerization (S305)
Cost: 541 DSxg (5.41e191)
Effect: 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
Note: Those assistants do not count as base assistants and are not multiplied by upgrades that increase assistants count (such as FC3).
S400 - For All Factions
Research Name: Capacity
Requirement: Research Projection (S215) & Domination (W275)
Cost: 13.66 QaSxg (1.366e196)
Effect: Increase Maximum Mana based on the highest amount of spells cast in a single game.
Formula: (1.2 * log10(x) ^ 4.8), where x is your Spell Cast (Max) stat in this Reincarnation.
S435 - For Drow
Research Name: Spellbinding
Hint: Combo Breaker!
Requirement: 14,400s (4 hour) Combo Strike Cast Time (This Game)
Cost: 19.89 SxSxg (1.989e202)
Effect: Passively grants the effects from Call to Arms while offline.
S460 - For All Factions
Research Name: Focus
Hint: Cast! Cast more!
Requirement: 25,000 spells cast (This game)
Cost: 5.023 SpSxg (5.023e206)
Effect: 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 the sum of Faction Spells Cast in this game.
S500 - For All Factions
Research Name: Heirlooms
Hint: I wonder when will I have enough for my collection?
Requirement: 40 Artifacts (as Drow)
Cost: 5.554 Spg (5.554e213)
Effect: Increase Maximum Mana and Mana Regeneration based on the amount of artifacts you own.
Maximum Mana Formula: +(75 * x ^ 1.1), where x is the amount of artifacts you own.
Mana Regeneration Formula: +(5 * x ^ 1.05), where x is the amount of artifacts you own.
S545 - For All Factions
Research Name: Hierarchy
Hint: I thirst for mana.
Requirement: 10 M (1e7) mana produced (This Game)
Cost: 466.3 DSpq (4.663e221)
Effect: 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 * (12 - T) ^ 2)%, where x is mana produced in this game and T is building tier.
S590 - For Fairy,Dwarf
Research Name: Trickery
Requirement: 200 Dwarf Exchanges (as Dwairy) (This Game), Research Mysticism(S105) & Illusion (S375)
Cost: 39.16 QiSpg (3.916e229)
Effect: Increase the production of Neutral buildings based on Maximum Mana.
Formula: (0.5 * x ^ 0.95)%, where x is your Maximum Mana.
S1275 - For All Factions
Research Name: Sequence
Hint: Cast and cast and cast and cast!
Requirement: 60,000 spells cast (This Game).
Cost: 152.4 Dvg (1.524e71)
Effect: Reduce spell cost for higher spell tiers.
Formula: Reduces cost multiplier by 0.5; with no other reductions applying, the multiplier will be 1.5 instead of 2.
S1450 - For Neutral,Dragon
Research Name: Spellstorm
Requirement: Research S435, C1325, Any Neutral, Dragon
Cost: 4.041 Sxvg (4.041e81)
Effect: 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 - For Faceless,Dragon
Research Name: Psionics
Hint: I require assistance.
Requirement: 1,000 Base Assistants, Research S545, E1325, as Faceless, Dragon
Cost: 3.843 Spvg (3.843e84)
Effect: 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 you own.
S2875 - For Mercenary
Research Name: Scholarship
Hint: More buildings for the Black Army!
Requirement: 11,000 Merc Unique Buildings.
Cost: 30.5 QaQig (3.05e166)
Effect: Increases the production of Non-Unique buildings by 5% per Unique building.
S3200 - For All Factions
Research Name: Manipulation
Hint First spell, many served.
Requirement: 1 B (1e9) Tax Collections (This R), (Calefaction A1325) and (Psionics S1500).
Cost: 695.7 Sxg (6.957e185)
Effect: Multiplicatively increase Mana Regeneration by 8% per active spells.
Effect: Also increases offline spell cast amount multiplicatively by 1200%.
S5125 - For All Factions
Research Name: Spilling
Requirement: R175+, Forgotten Relic, Mana Loom artifact and upgrade
Effect: Increase the production of buildings affected by at least 3 spells based on Mana Produced in this game.
Formula: (1.75 * ln(1 + x) ^ 1.75)%, where x is mana produced this game.
S5375 - For Chaos
Research Name: Invocation
Requirement: R177+, Forgotten Relic, Mana Loom artifact and upgrade
Effect: Increase Maximum Mana additively and multiplicatively based on the activity time of your least used spell.
Additive: +(1000 + 80 * x ^ 0.8), where x is the spell activity time of your least used spell in this Reincarnation.
Multiplicative: (6 + 0.6 * x ^ 0.6)%, where x is the spell activity time of your least used spell in this Reincarnation.
S5625 - For All Factions
Research Name: Leylines
Requirement: R179+, Forgotten Relic, Mana Loom artifact and upgrade
Effect: Multiplicatively increase Mana Regeneration based on the amount of assistants you own.
Formula: (0.75 * x ^ 0.25)%, where x is the amount of assistants you own.
S5875 - For All Factions
Research Name: Mirrors
Requirement: R181+, Forgotten Relic, Mana Loom artifact and upgrade
Effect: Multiplicatively increase Assistants based on Spell casts in this game.
Formula: (ln(1 + x) ^ 1.75)%, where x is spell casts this game.
S10875 - For All Factions
Research Name: Encompass
Requirement: R221+
Effect: Increase Maximum Mana based on the highest amount of Maximum Mana you had in this Reincarnation.
Formula: +(15 * ln(1 + x) ^ 3), where x is your highest max mana this Reincarnation.
S11125 - For All Factions
Research Name: Multiplication
Requirement: R223+
Effect: Spells cast count more based on Mana produced in this game.
Formula: (ln(1 + x) ^ 1.5)%, where x is Mana produced in this game.
S11375 - For All Factions
Research Name: Concentration
Requirement: R225+
Effect: Increase the production of Unique buildings based on Spells cast in this game.
Formula: (ln(1 + x) ^ 2)%, where x is spell casts this game.
S11625 - For All Factions
Research Name: Completeness
Requirement: R227+
Effect: Multiplicatively increase Faction Coin find chance based on the amount of Trophies you unlocked.
Formula: (1.5 * x ^ 0.5)%, where x is the amount of Trophies you unlocked.
S11875 - For All Factions
Research Name: Arcane Efficiency
Requirement: R229+
Effect: While both Holy Light and Fairy Chanting are active, reduce the cost of all spells by 85%.
Note: Catalyst can be used as one of the spells.
S12250 - For All Factions
Research Name: Necrodoomancy
Requirement: R232+
Effect: Reincarnations count more based on time spent as Undead in this Reincarnation.
Formula: (0.5 * x ^ 0.5)%, where x is time spent as Undead in this Reincarnation.
S13125 - All Factions
Research Name: Fantasia
Requirement: R239+
Effect: Multiplicatively increase assistants based on Mana produced in this game.
Formula: (2 * ln(1 + x) ^ 2)%, where x is your Mana produced this game.
S13500 - For All Factions
Research Name: Legerdemain
Requirement: R242+
Effect: Increase the production of all buildings based on Royal Exchange bonus.
Formula: (0.7 * x ^ 0.7)%, where x is your Royal Exchange bonus.
C1 - For Elf
Research Name: Dummy Targets
Cost: 750 Qag (7.5e125)
Effect: Increase Elven Training Grounds production based on the amount of Faction Coins you found.
Formula: (3 * ln(1 + x) ^ 3)%, where x is your Faction Coins found this game.
C10 - For Fairy
Research Name: Cultivation
Hint: More farms, more crops!
Requirement: 2500 Enchanted Fields
Cost: 28.83 Uqag (2.883e127)
Effect: Increases production of Blacksmith and Inn based on the amount of Enchanted Field you own.
Formula: (60 * x)%, where x is the amount of Enchanted Fields you own.
C25 - For Angel
Research Name: Light Condenser
Hint: I've cast a spell on you. Now you cast more.
Requirement: 12,000 Spells cast (This R)
Cost: 12.63 Dqag (1.263e130)
Effect: 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.
C50 - For Demon
Research Name: Refining
Hint: Faction Coin treasury.
Requirement: 1 B (1e9) Faction Coins (as Elf)
Cost: 318.8 Tgag (3.188e134)
Effect: Increase the production of Infernal Realms based on the amount of Demon Coins you found in this game.
Formula: (0.3 * ln(1 + x) ^ 3)%, where x is your Demon Coins gained this game.
C80 - For All Factions
Research Name: Apprenticeship
Hint: Shall i paint these buildings blue or red? I can't decide.
Requirement: 16,000 Good and Evil buildings
Cost: 61.13 Qiqag (6.113e139)
Effect: Increase the production of Neutral buildings based on the amount of Good and Evil buildings.
Formula: (x ^ 0.8)%, where x is the number of Good and Evil Buildings you own.
C105 - For All Factions
Research Name: Woodcraft
Hint: 25k reiterations of the same movement.
Requirement: 25,000 clicks (This Game)
Cost: 1.544 Spqag (1.544e144)
Effect: 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 - For All Factions
Research Name: Socketing
Hint: Fingers crossed!
Requirement: 200,000 clicks (This Game)
Cost: 676 Spqag (6.76e146)
Effect: Increase clicking reward based on the amount of gems you own.
Formula: round(20 * log10(1 + x))%, where x is your current number of gems.
C135 - For All Factions
Research Name: Reinforcing
Hint: Clickety Click.
Requirement: 250,000 clicks (This Game, as Elf)
Cost: 296 Ocqag (2.96e149)
Effect: 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 - For All Factions
Research Name: Tinkering
Requirement: Research Recycling (E10) & Reinforcing (C135)
Cost: 129.6 Noqag (1.296e152)
Effect: Increase the production of all buildings based on the amount of total research points bought.
Formula: round(125 * x ^ 0.38)%, where x is number of total research points bought.
C175 - For Goblin
Research Name: Gemcutting
Requirement: Research Refining (C50) & Socketing (C120)
Cost: 3.273 Uqig (3.273e156)
Effect: 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 - For All Factions
Research Name: Journeymen
Requirement: Research Apprenticeship (C80) & Bartering (E50).
Cost: 82.65 Dqig (8.265e160)
Effect: Increase the production of Unique Buildings based on time spent as that faction in this Reincarnation.
Formula: (0.7 * x ^ 0.7)%, where x is time spent as the faction of the Unique Building in this Reincarnation.
C225 - For Elf
Research Name: Automatons
Requirement: Research Dummy Targets (C1) & Vivification (A120).
Cost: 2.087 Qaqig (2.087e165)
Effect: Each Elven Training Grounds counts as 200 buildings for Call to Arms purposes.
C250 - For All Factions
Research Name: Magnetism
Requirement: Research Tinkering (C150) & Critical Strike (W225).
Cost: 52.7 Qiqig (5.27e169)
Effect: Increase Faction Coin find chance based on time spent offline in this Reincarnation.
Formula: +floor(7.5 * x ^ 0.75), where x is your time spent offline in this Reincarnation.
Effect: Also increase Faction Coin find chance by a multiplicative 50%.
C251 - For Titan
Research Name: Architecture
Requirement: Secrets of the Ancients (as Titan)
Cost: 79.05 QiQig (79.05e168)
Effect: Increase the production of Olympian Halls based on the amount of buildings you own.
Formula: (0.5 * x ^ 0.8)%, where x is your Buildings Owned (This Game) stat.
C300 - For Druid
Research Name: Weighting
Hint: A lightning strike may hit the same target twice. Or hundreds of times.
Requirement: 650 Lightning Strikes (This R)
Cost: 33.6 OcQig (33.6e177)
Effect: While Grand Balance hits Stone Pillars, increase its production by 2000%.
Effect: Also increase the production of every Grand Balance target based on maximum mana.
Formula: 10 * (2.15 * log10(1 + x)) ^ 1.75) ^ y), where x is your maximum mana and y is spell tier.
C305 - For All Factions
Research Name: Golemcraft
Hint: Titanic Patience.
Requirement: 2 days as Titans (across all Reincarnations)
Cost: 255.2 OcQig (2.552e179)
Effect: Gain additional assistants based on your total time spent offline (in hours).
Formula: floor(0.85 * (x / 60) ^ 0.85), where x is your Time Spent Offline(this R).
C330 - For All Factions
Research Name: Overload
Requirement: Research Aeromancy (S250) & Critical Strike (W225)
Cost: 6.443 Sxg (6.443e183)
Effect: Increase mana regeneration based on the amount of research made.
Formula: (3.5 * x ^0.35), where x is researches made.
C340 - For All Factions
Research Name: Gem Duster
Requirement: 800 Gem Grinders (This R),Research Sifting (E260) & Surveyorship (E290)
Cost: 371.5 Sxg (3.715e185)
Effect: Increase production bonus from gems based on the amount of Rubies you collected. (Multiplicative)
Formula: floor(10 * x), where x is your Rubies Gained (All Time) stat.
C375 - For Titan
Research Name: Lightning Rod
Requirement: Research Chain Lightning (S300) & Overload (C330)
Cost: 541 DSxg (5.41e191)
Effect: Olympian Halls are always hit by Lightning Strike in addition to the primary target. Olympian Halls can no longer be a primary target.
C400 - For All Factions
Research Name: Gravitation
Requirement: Research Magnetism (C250) & Weighting (C300)
Cost: 13.66 QaSxg (1.366e196)
Effect: Increase Faction Coin find chance based on the amount of Faction Coins found in this game.
Formula: +floor(3.5 * ln(x + 1) ^ 3)%, where x is Faction Coins found in this game.
Effect: Also increase Faction Coin find chance by a multiplicative 100%.
C405 - For Dwarf
Research Name: Metallurgy
Requirement: Secrets of the Underworld (as Dwarf)
Cost: 103.7 QaSxg (1.037e197)
Effect: Increase the production of Dwarven Forges based on the Dwarven Forges you own.
Formula: (40 * x ^ 0.8)%, where x is the number of Dwarven Forges you own.
C460 - For All Factions
Hint Clickety
Research Name: Distribution
Requirement: 1M Clicks (This game)
Cost: 502.3 SpSxg (5.023e206)
Effect: 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 - For All Factions
Research Name: Minecrafting
Hint: Excavate to the bottom!
Requirement: 3250 excavations (as Dwarf)
Cost: 5.554Spg (5.554e213)
Effect: 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 - For Dwarf
Research Name: Blacksmithing
Requirement: Research Reinforcing (C135) & Metallurgy (C405)
Cost: 18.47 USpg (1.847e217)
Effect: Increase clicking reward for Diamond Pickaxe based on the amount of Dwarven Forges you own.
Effect: 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)%, where x is the number of Dwarven Forges you own.
Formula: Diamond Pickaxe: (20 * x ^ 0.4)%, where x is the number of Dwarven Forges you own.
C590 - For Elf,Dwarf
Research Name: Alloys
Requirement: 200 Dwarf Exchanges (as Dwelf), Research Fusion(A105) and Blacksmithing(C520)
Cost: 39.16 QiSpg (3.916e229)
Effect: Increase clicking reward based on your chance to find Faction Coins.
Formula: (0.9 * x ^ 0.9)%, where x is chance to find Faction Coins.
Effect: Autoclicks the treasure 10 times per second.
Effect: Also generates the same amount of clicks while offline.
C1300 - For Neutral,Dragon
Research Name: Scintillation
Hint: Increase your magic potential.
Requirement: 30000 Max Mana, as any Neutral,Dragon (This game)
Cost: 4.698 Tvg (4.698e72)
Effect: Increase production of buildings based on max mana and additive gem bonus. (Higher boost for lower gem bonus.)
Formula: ((250 * x ^ 0.5) / y ^ 0.95), where x is max mana and y is total additive gem bonus.
C1325 - For All Factions
Research Name: Plasmation
Hint: I've gotta take a Mana shower.
Requirement: 50m (5e7) Mana Produced (This game)
Cost: 144.9 Tvg (1.449e74)
Effect: Gain assistants based on mana produced in this game.
Formula: floor(1.25 * ln(1 + x) ^ 2.25), where x is mana produced (this game).
C1500 - For Titan,Dragon
Research Name: Gargantuaness
Hint: Trading with the Dragons might prove risky, but rewarding.
Requirement: 2500 Royal Exchanges Research E460, D1275 (As Titan, Dragon)
Cost: 3.843 Spvg (3.843e84)
Effect: Increase the production of all buildings based on total time spent as Neutral.
Formula: (1.5 * x) ^ 0.7, where x is neutral time (this R) in minutes.
C3000 - For Mercenary
Research Name: Customizing
Hint: Go into a deeper tunnel.
Requirement: 9000 Excavations as Mercenary.
Cost: 850.7 SxQig (8.507e173)
Effect: Increases the production of all buildings based on the amount of artifacts you own.
Formula: (2 * x ^ 2), where x is artifacts you own.
C3100 - All Factions
Research Name: Engineering
Hint: Spend some quality time with the Mercenaries.
Requirement: 12 days as Mercenary (across all Reincarnations)
Cost: 769.3 OcQig (7.693e179)
Effect: Increase Maximum Mana based on the total amount of clicks made in this Reincarnation.
Formula: +(65 * x ^ 0.35), where x is clicks made in this Reincarnation.
C5125 - For All Factions
Research Name: Restauration
Requirement: R175+, Forgotten Relic, Factory artifact and upgrade,
Effect: Increase the production of all buildings based on assistants owned.
Formula: (0.5 * x ^ 0.25)%, where x is assistants owned.
C5375 - For Neutral
Research Name: Manufacture
Requirement: R177+, Forgotten Relic, Factory artifact and upgrade,
Effect: Increase Faction Coin Find Chance additively and multiplicatively based on clicks made in this game.
Additive Formula: +(7.5 * x ^ 0.5)%, where x is clicks made in this game.
Multiplicative Formula: (1.3 * x ^ 0.3)%, where x is clicks made in this game.
C5625 - For All Factions
Research Name: Discovery
Requirement: R179+, Forgotten Relic, Factory artifact and upgrade,
Effect: Trophies and Artifacts count more based on excavations, including resets made in this game.
Formula: (0.25 * (x * (y + 1)) ^ 0.5)%, where x is excavation count and y is excavation resets (This Game).
C5875 - For All Factions
Research Name: Genuineness
Requirement: R181+, Forgotten Relic, Factory artifact and upgrade,
Effect: Multiplicatively increase Maximum Mana based on lowest Lineage level.
Formula: (50 + x ^ 0.95)%, where x is the lowest lineage.
C10875 - For All Factions
Research Name: Masterpiece
Requirement: R221+
Effect: Increase Faction Coin find chance based on Excavation Resets made in this Reincarnation (Multiplicative).
Formula: (2 * x ^ 2)%, where x is excavation resets this R.
C11125 - For All Factions
Research Name: Installation
Requirement: R223+
Effect: Increase the production of all buildings based on their quantity.
Formula: (1.3 * x ^ 0.7)%, where x is the amount of buildings of the same tier.
C11375 - For All Factions
Research Name: Exhibition
Requirement: R225+
Effect: Trophies count more based on the amount of buildings you own.
Formula: (x ^ 0.5)%, where x is total amount of buildings.
C11625 - For All Factions
Research Name: Motus Perpetuum
Requirement: R227+
Effect: Autoclicks x times per second based on Clicks made in this Reincarnation.
Formula: x = floor(ln(1 + y)), where y is productive clicks this R.
Effect: Also generates the same amount of clicks while offline.
C11875 - For All Factions
Research Name: Plating
Requirement: R229+
Effect: Unique Buildings count more for Call to Arms purposes based on Moon Blessing activity time in this Reincarnation.
Formula: +(2 * x ^ 0.8), where x is Moon Blessing activity time in this Reincarnation.
Note: This is an additive bonus and is thus not affected by any multiplicatives such as Good Warcry.
C12250 - For All Factions
Research Name: Compression
Requirement: R232+
Effect: Brainwave increases Faction Coin find chance progressively over its duration.
Formula: +(floor(1.5 * ((x + y) / 60) ^ 2.25))%, where x and y are Brainwave runtime and Headstart respectively.
C13125 - For All Factions
Research Name: Pottery
Requirement: R239+
Effect: Multiplicatively increase Faction Coin find chance based on the amount of active spells.
Formula: (9 * x ^ 0.9)%, where x is the number of active spells.
C13500 - For All Factions
Research Name: Assembly Line
Requirement: R242+
Effect: Increase the production of Non-Unique buildings based on the amount of assistants you own.
Formula: (0.75 * x ^ 0.25)%, where x is the number of assistants you own.
D1 - For Angel
Research Name: Blessing
Cost: 750 Qag (7.50e125)
Effect: Increase the production of Heaven's Domains based on total time spent with at least one active spell.
Formula: (8 * x ^ 0.8)%, where x is total time spent with at least one active spell.
D10 - For Demon
Research Name: Inflame
Hint: Build a highway to hell.
Requirement: 2,000 Infernal Realms
Cost: 28.83 Uqag (2.883e127)
Effect: Increase the production of all other buildings by 110% per Infernal Realm you own.
D25 - For Undead
Research Name: Cursing
Hint: Spend some time in absence.
Requirement: Play 5 hours Offline (as Undead) (This Game)
Cost: 12.63 Dqag (1.263e130)
Effect: Increase the production of all buildings based on your offline production bonus.
Formula: (2.75 * log10(1 + x) ^ 2.75)%, where x is your offline production bonus multiplier.
Note: This research is treated as an A1 upgrade for A-nerf purposes.
D50 - For Elf
Research Name: Hallowing
Hint: Have you been good enough?
Requirement: 15,000 Good Buildings(as Angel)
Cost: 318.8 Tqag (3.188e134)
Effect: Increase your chance to find Faction Coins based on the amount of Elven Training Grounds you own.
Formula: floor(1.5 * x ^ 1.05)%, where x is the number of Elven Training Grounds you own.
D55 - For All Factions
Research Name: Transfixion
Hint: Massively produced blue energy.
Requirement: Produce 3 M (3e6) Mana (This Game)
Cost: 2.421 Qaqag (2.421e135)
Effect: Increase clicking reward based on spell cast in this game.
Formula: (3 * x ^ 0.7)%, where x is your Spells Cast (This Game) stat.
D135 - For All Factions
Research Name: Illumination
Hint: Blue regeneration combo.
Requirement: 250 m/s Mana Regen(as Angel)
Cost: 296 Ocqag (2.96e149)
Effect: 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 - For All Factions
Research Name: Retribution
Requirement: Research Betrayal (W120) & Transfixion (D55).
Cost: 129.6 Noqag (1.296e152)
Effect: Increase chance to find faction coins based on the amount of total research points bought.
Formula: floor(x ^ 1.25), where x is the amount of total research points bought.
D175 - For Angel
Research Name: Resurrection
Requirement: Research Blessing (D1) & Refraction (A55)
Cost: 3.273 Uqig (3.273e156)
Effect: You gain additional assistants based on God's Hands activity time. (This R)
Formula: floor(1.5 * x ^ 0.75), where x is God's Hands Cast Time Activity (This R).
D200 - For All Factions
Research Name: Transcendence
Requirement: Research Resurrection (D175) & Illumination (D135)
Cost: 82.65 Dqig (8.265e160)
Effect: Decrease the cost of all spells by 20% and increase their duration by 20%.
D205 - For All Good Factions
Research Name: Communion
Hint: Shine bright, Holy Light!
Requirement: 777 Holy Lights (Total this R),Research Gemcutting (C175) & Illumination (D135)
Cost: 627.6 Dqig (6.276e161)
Effect: Increase Holy Light duration by 300 seconds.
D225 - For Fairy
Research Name: Weather Control
Requirement: Research Light Condenser (C25) & Vacuumancy (S30)
Cost: 2.087 Qaqig (2.087e165)
Effect: Increase the production of Enchanted Fields based on maximum mana.
Formula: floor(2.25 * x ^ 0.8)%, where x is your maximum mana.
D245 - For All Factions
Research Name: Sanctification
Hint: Surgical Spirits.
Requirement: 500 Spiritual Surge (Total this R), Research Soulweaving (A175) & Necromancy (S225)
Cost: 6.94Qiqig (6.94e168)
Effect: 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 amount of Non-Unique Buildings you own.
D250 - For All Factions
Research Name: Demonology
Requirement: Research Transcendence (D200) & Pyromancy (S150)
Cost: 52.7 Qiqig (5.27e169)
Effect: Gain additional assistants based on the amount of Faction Coins found in this game.
Formula: floor(ln(1 + x) ^ 1.5), where x is your Faction Coins Gained (This Game) stat.
D260 - For Faceless
Research Name: Mutation
Hint: Lost in the maze? Build your path.
Requirement: 3,000 Sunken Cities
Cost: 3.039 SxQig (3.039e171)
Effect: Increase the production of all other buildings by 95% per Sunken Cities you own.
D275 - For Druid
Research Name: Meditation
Hint: Maximum magical concentration.
Requirement: Have 10,000 Mana (as Druid)
Cost: 1.331 SpQig (1.331e174)
Effect: Increase mana regeneration based on your current mana.
Effect: Also increases offline spell cast amount multiplicatively by 300%.
Formula: (0.35 * x ^0.35 + 0.035 * log(x) ^3.5), where x is max mana.
D290 - For All Factions
Research Name: Transubstantiation
Hint: A small buried stone.
Requirement: 1 Rough Stone Artifact
Cost: 582.7 SpQig (5.827e176)
Effect: Each artifact you discover increases Maximum Mana additively and multiplicatively.
Additive Formula: (50 * x ^1.1), where x is the number of artifacts found.
Multiplicative Formula: (x ^ 0.95), where x is the number of artifacts found.
D320 - For All Factions
Research Name: Deliverance
Hint: High-rate mana transfusions.
Requirement: 350 m/s Mana Regen
Cost: 1.117 NoQig (1.117e180)
Effect: Increase assistants production based on mana regeneration.
Formula: (20 * x ^ 0.8)%, where x is your Mana per Second stat.
D330 - For All Factions
Research Name: Eternity
Requirement: Research Offering (E275) & Deliverance (D320)
Cost: 6.443 Sxg (6.443e183)
Effect: Double the duration of all faction spells.
D350 - For Titan
Research Name: Descent
Requirement: Research Swarming (W250) & Heroism (W330)
Cost: 21.42 USxg (2.142e187)
Effect: 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 - For All Factions
Research Name: Miracle
Requirement: Research Communion (D205) & Transubstantiation (D290)
Cost: 13.66 QaSxg (1.366e196)
Effect: 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 - For Dwarf
Research Name: Devotion
Hint: More diamond hits!
Requirement: 14400s (4 hour) Diamond Pickaxe Cast Time (This Game)
Cost: 19.89 SxSxg (1.989e202)
Effect: Increase the production of Good buildings based on spells cast in this game.
Formula: (1.5 * x ^ 0.85)%, where x is your Spells Cast (This Game) stat.
D480 - For All Factions
Research Name: Mercy
Hint: You should try everything at least once. Or 12 times.
Requirement: 12h Spent as each Good, Evil and Neutral alignment (This R)
Cost: 1.67 NoSxg (1.67e210)
Effect: Increase the production of all buildings based on the difference in time spent with the three alignments. A smaller difference produces a higher bonus.
Formula: (100000 * (tmin / tmax) ^ 1.5)%, where tmin is shortest Time Spent Being Alignment and tmax is longest Time Spent Being Alignment (Total) Stat.
D525 - For Good
Research Name: Purity
Hint: Be patiently good.
Requirement: 1d12h as Good (This R), Research Communion (D205) and Devotion (D435)
Cost: 140.2 USpg (1.402e218)
Effect: 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 stat.
D560 - For Drow
Research Name: Ritualism
Requirement: Research Necromancy(S225) and Heirlooms(S500)(as drow)
Cost: 204.2 TSpq (2.042e224)
Effect: Increase mana regeneration based on the amount of trophies you unlocked.
Formula: (floor(0.6 * x) / 10), where x is the amount of Trophies Unlocked.
D590 - For Angel,Dwarf
Research Name: Dispelling
Requirement: 200 Dwarf Exchanges as Dwangel, Research Shattering (W320) and Waste (A480)
Cost: 39.16 QiSpg (3.916e229)
Effect: Increase the production of Unique buildings based on Mana Regeneration.
Formula: (5 * x ^ 0.95)%, where x is your Mana Regeneration.
D1125 - For Neutral,Dragon
Research Name: Oblation
Requirement: Any Neutral,Build Dragons' Unique Building
Cost: 177.2 Nod (1.772e62)
Effect: Increase the production of Wyrm's Den based on Faction Coin find chance.
Formula: (1.55 * x ^ 0.55)%, where x is your Faction Coin find chance.
D1275 - For All Factions
Research Name: Solemnity
Hint: Urban development.
Requirement: 80,000 Total Buildings
Cost: 152.4 Dvg (1.524e71)
Effect: Increase the production of each building by +0.3% per building of the same type.
D1375 - For All Factions
Research Name: Soulrending
Hint: Be good, wish for the best.
Requirement: 7 days spent as good (across all Reincarnations)
Cost: 137.8 Qavg (1.378e77)
Effect: Ascensions count 50% more for Spiritual Surge.
D2775 - For Mercenary
Research Name: Intervention
Requirement: Secrets of the Warriors.
Cost: 33.73 DQig (3.373e160)
Effect: Increases the production of Unique Building based on time spent with Mercenaries (All Time).
Formula: (10 * x ^ 0.7)%, where x is time spent with Mercenary (All Time).
D3350 - For All Factions
Research Name: Vampirism
Hint: Sound the alarms, production has gone offline!
Requirement: 100 Sp% (1e26%) offline bonus, (Intervention D2775) and (Upheaval W3150).
Cost: 598.3 TSxg (5.983e194)
Effect: Increase assistants additively and multiplicatively based on your Offline Bonus.
Additive Formula: (3.25 * log10(1 + x) ^ 2.25), where x is your Offline Bonus.
Multiplicative Formula: (0.05 * log10(1 + x) ^ 2), where x is your Offline Bonus.
D5125 - For All Factions
Research Name: Selection
Requirement: R175+, Forgotten Relic, Mythos artifact and upgrade.
Effect: Increase the production of Unique buildings based on Clicks in this game.
Formula: (x ^ 0.5), where x is clicks this game.
D5375 - For Good
Research Name: Zealotry
Requirement: R177+, Forgotten Relic, Mythos artifact and upgrade.
Effect: Multiplicatively increase Mana Regeneration based on Royal Exchanges purchased in this game.
Formula: (0.75 * x ^ 0.75), where x is royal exchanges this game.
D5625 - For All Factions
Research Name: Prophecy
Requirement: R179+, Forgotten Relic, Mythos artifact and upgrade.
Effect: Empowers the effects of your faction's Set based on time spent with your least used faction. Lineage levels count more, by the same amount, for your faction’s Advanced Heritage.
Formula: (50 + 0.25 * x ^ 0.5)%, where x is your least spent faction time.
Note: only considers time spent with factions that are available at the given game stage.
D5875 - For All Factions
Research Name: Birthright
Requirement: R181+, Forgotten Relic, Mythos artifact and upgrade.
Effect: Gain the Bloodline effects of your opposite alignment.
Note: Only gain the effects of the Base Faction that matches both alignments. For Neutral and Balance the opposite is Neutral and Balance respectively.
D10875 - For All Factions
Research Name: Scriptures
Requirement: R221+
Effect: Increase all spells’ durations based on time spent with their respective requirement.
Formula: (0.7 * x ^ 0.7)%, where x is time spent in seconds with the faction or alignment of the spell.
Note: Call to Arms and Spiritual Surge use time spent this R.
Note: Heatwave and Hailstorm (Summer Festival event spells) use time spent as Summeraan and Winterly this R.
Note: All other event spells use time spent this R.
D11125 - For All Factions
Research Name: Viriditas
Requirement: R223+
Effect: Lineage levels count more based on the amount of Artifacts you excavated.
Formula: (x ^ 0.75)%, where x is the amount of Artifacts you excavated.
D11375 - For All Factions
Research Name: Rigor
Requirement: R225+
Effect: Reincarnations count 100% more.
D11625 - For All Factions
Research Name: Compassion
Requirement: R227+
Effect: Increase the production of Non-Unique buildings based on time spent with your least used alignment in this Reincarnation.
Formula: (50 + x ^ 0.75)%, where x is time spent as the least used alignment this R.
D11875 - For All Factions
Research Name: Virtues
Requirement: R229+
Effect: Increase Tax Collection worth based on the highest amount of Mountain Palaces you built in this Reincarnation.
Formula: (2.5 * x ^ 0.5)%, where x is the highest amount of Mountain Palaces built in this Reincarnation.
D12250 - For All Factions
Research Name: Enochian
Requirement: R232+
Effect: Multiply Angel Coins found based on God's Hand activity time in this Reincarnation.
Formula: *(10 + 0.7 * x ^ 0.7)%, where x is God's Hand activity time in this Reincarnation.
D13125 - For All Factions
Research Name: Asceticism
Requirement: R239+
Effect: Neutral Buildings also count as both Good and Evil buildings. Non-Unique buildings also count as Unique buildings.
Note: Neutral Buildings in this instance refers to only Farms, Inns, Blacksmiths and Hall of Legends.
Note: The effect on Unique Buildings is only applied to effects that specifically check for Unique Buildings, such as Lineage Perk 3s. The Non-Unique Buildings will still only count as Non-Unique when it comes to building modifiers, such as E135. Essentially, effects that are "...based on the amount of Unique Buildings" are now "...based on your total amount of buildings".
Effect: When you spend time with a faction, you also gain a fraction of that time spent with all factions.
Note: You gain 0.1 second of playtime for each faction (including Mercenary and Elites) every second. This does not include your current Faction(s), which gain time normally. This effect works both offline and in time warps. Time gained is added as real stat.
D13500 - For All Factions
Research Name: Afterlife
Requirement: R242+
Effect: Multiplicatively increase Mana Regeneration based on the highest amount of Mana Regeneration you had in this Reincarnation.
Formula: (2 * ln(1 + x) ^ 2)%, where x is the highest Mana Regeneration you had this Reincarnation.
E1 - For Goblin
Research Name: Coinage
Cost: 750 Qag (7.50e125)
Effect: Increase the production of Goblin Banks based on the amount of buildings you own.
Formula: (0.85 * x ^ 0.85)%, where x is your Buildings Owned (This Game) stat.
E10 - For Undead
Research Name: Recycling
Hint: Nation of the dead.
Requirement: 2,000 Undercities
Cost: 28.83 Uqag (2.883e127)
Effect: Increase the production of all other buildings by 95% per Undercity you own.
E25 - For Elf
Research Name: Commerce
Hint: Colored wealth.
Requirement: 100 M (1e8) Faction Coins (Found this Game)
Cost: 12.63 Dqag (1.263e130)
Effect: Gain additional assistants based on the amount of Royal Exchanges you purchased.
Formula: +(floor((1 + 6 * x) ^ 0.5 - 1)), where x is the amount of Royal Exchanges purchased.
E30 - For All Factions
Research Name: Diplomacy
Hint: Exchange more.
Requirement: 1,000 Exchanges (This Game)
Cost: 95.88 Dqag (9.588e130)
Effect: Increases Faction Coin find chance and Royal Exchange bonus based on time spent in this game.
Faction Coin Chance Formula: +(floor(1.5 * (x / 60) ^ 1.05))%, where x is time spent in this game.
Royal Exchange Bonus Formula: +(floor((x / 60) ^ 0.6))%, where x is time spent in this game.
E50 - For Fairy
Research Name: Bartering
Hint: Royalties earnings.
Requirement: 1,000 Exchanges(as Goblin)
Cost: 318.8 Tqag (3.188e134)
Effect: Reduce Enchanted Field cost multiplier. Reduces cost multiplier by 0.02; with no other reductions applying, the multiplier will be 1.13 instead of 1.15.
E80 - For Good/Evil
Research Name: Common Business
Hint: Neutral urbanistics.
Requirement: 9,000 Neutral Buildings
Cost: 61.13 Qiqag (6.113e139)
Effect: 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 - For All Factions
Research Name: Bribing
Hint: Architectural advantage.
Requirement: 28,000 Total Buildings(as Goblin)
Cost: 296 Ocqag (2.96e149)
Effect: Reduce the building cost multiplier for Unique Buildings. Reduces cost multiplier by 0.01; with no other reductions applying, the multiplier will be 1.14 instead of 1.15.
E145 - For All Factions
Research Name: Royal Demand
Hint: Collect those taxes!
Requirement: 50,000 Tax Collections (This R), Research Cultivation (C10) & Woodcraft (C105)
Cost: 17.07 Noqag (1.707e151)
Effect: Increase Tax Collection reward by 30 seconds of production.
E150 - For All Factions
Research Name: Investment
Requirement: Research Bribing (E135) & Commerce (E25)
Cost: 129.6 Noqag (1.296e152)
Effect: Increase the production of all buildings based on the amount of coins you own.
Formula: (round(ln(1 + x) ^ 1.25))%, where x is the amount of gold you own.
E200 - For All Factions
Research Name: Acquisition
Requirement: Research Investment (E150) Common Business (E80)
Cost: 82.65 Dqig (8.265e160)
Effect: 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 / max trophies.
E225 - For Goblin
Research Name: Forgery
Requirement: Research Coinage (E1) & Gilding (A50)
Cost: 2.087 Qaqig (2.087e165)
Effect: Increase the production of Evil Buildings based on the amount of Goblin Banks you own.
Formula: (1.5 * x ^ 0.85)%, where x is the number of Goblin Banks you own.
E230 - For Demon
Research Name: Coercion
Requirement: Research Exertion (W50) & Diplomacy (E30)
Cost: 2.087 Qaqig (2.087e165)
Effect: Increases trophy count based on time spent as Evil this Reincarnation.
Formula: (0.25 * x ^ 0.5)%, where x is time spent as Evil this Reincarnation.
E250 - For All Factions
Research Name: Trade Routes
Requirement: Research Forgery (E225) & Royal Demand (E145)
Cost: 52.7 Qiqig (5.27e169)
Effect: Increase mana regeneration based on the amount of Royal Exchanges you purchased.
Formula: +(floor(10 * x ^ 0.55) / 10), where x is the amount of Royal Exchanges purchased.
E260 - For Druid
Research Name: Sifting
Hint: A lot of men-hirs.
Requirement: 3,000 Stonehenge Circles
Cost: 3.039 SxQig (3.039e171)
Effect: Increase the production of all other buildings based on the amount of Stone Pillars you own.
Formula: (100 * x)%, where x is the amount of Stone Pillars you own.
E275 - For Titan
Research Name: Offering
Hint: Offer Faction Coins, gain production.
Requirement: 1,250 Royal Exchanges(as Titans)
Cost: 175.2 SxQig (1.752e173)
Effect: Increase mana regeneration based on your Royal Exchange Bonus.
Formula: +(x ^ 0.95), where x is your Royal Exchange Bonus.
E290 - For All Factions
Research Name: Surveyorship
Hint: Take an interest in archeology.
Requirement: 7 Artifacts
Cost: 582.7 SpQig (5.827e176)
Effect: Reduces Excavation cost multiplier by 0.02; with no other reductions applying, the multiplier will be 1.18 instead of 1.2.
E320 - For All Factions
Research Name: Smuggling
Hint: You shouldn't abdicate so poorly.
Requirement: Have twice as many Gems in Abdication Treasury
Cost: 1.117 NoQig (1.117e180)
Effect: Increase Faction Coin find chance based on the amount of Unique Buildings owned.
Effect: Also increase FC chance find chance by a multiplicative 100%.
Formula: +(5 * x ^ 0.9)%, where x is Unique Building owned
E330 - For All Factions
Research Name: Collection
Requirement: Research Acquisition (E200) & Forgery (E225)
Cost: 6.443 Sxg (6.443e183)
Effect: 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 - For Faceless
Research Name: Repurpose
Requirement: Research Journeymen (C200) & Adaptation (A330)(as Faceless)
Cost: 21.42 USxg (2.142e187)
Effect: 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 - For All Factions
Research Name: Conversion
Requirement: Research Philosopher's Stone (A250) & Repurpose (E350).
Cost: 13.66 QaSxg (1.366e196)
Effect: Increase production bonus from Gems based on your Royal Exchange bonus.
Formula: +(2.5 * floor(x ^ 0.5))%, where x is your Royal Exchange Bonus.
E410 - For Dwarf
Research Name: Marketing
Hint: A Blacksmith army.
Requirement: 5,000 Blacksmiths
Cost: 787.7 QaSxg (7.877e197)
Effect: Increase production of all other buildings by 75% per Dwarven Forge you own.
E460 - For All Factions
Research Name: Inflation
Hint: Got enough Faction Coins?
Requirement: 100 B (1e11) Faction Coins (Found this Game)
Cost: 502.3 SpSxg (5.023e206)
Effect: Increase Royal Exchange Bonus based on the amount of Faction Coins found in this game.
Formula: +(floor(3.5 * log10(1 + x)))%, where x is the amount of Faction Coins found in this game.
E480 - For All Factions
Research Name: Undercutting
Hint: Maximum magic resources required.
Requirement: 15000 max mana
Cost: 1.67 NoSxg (1.67e210)
Effect: Increase the production of Non-Unique Buildings based on Spells cast in this Reincarnation.
Formula: (0.65 * x ^ 0.65)%, where x the amount of Spells cast in this Reincarnation.
E495 - For Drow
Research Name: Jewellery
Hint: Special architecture.
Requirement: 12000 Unique Buildings (as Dwarf)
Cost: 731.4 NoSxg (7.314e212)
Effect: Increase the production bonus from gems based on the amount of Spider Sanctuaries you own.
Formula: +(0.06 * x ^ 0.8)%, where x is the amount of Spider Sanctuaries you own.
E590 - For Goblin,Drow
Research Name: Slavery
Requirement: 200 Drow Exchanges as Droblin, Research Automatons(C225) and Undercutting(E480)
Cost: 39.16 QiSpg (3.916e229)
Effect: Gain additional assistants based on the amount of Non-Unique buildings you own.
Formula: +(0.1 * x ^ 0.8), where x is the amount of Non-Unique Buildings you own.
E1225 - For Neutral,Dragon
Research Name: Hoarding
Hint: Massive numismatics.
Requirement: 1 T (1e12) Faction coins found this game
Cost: 160.2 Uvg (1.602e68)
Effect: Removes 1 Ascension penalty for Royal Exchanges.
E1325 - For All Factions
Research Name: Intimidation
Hint: Unique wonders of the realm.
Requirement: 18000 Unique Buildings
Cost: 144.9 Tvg (1.449e74)
Effect: Reduce Royal Exchange cost multiplier.
Formula: Reduces multiplier by 0.025; with no other reductions applying, the multiplier will be 1.075 instead of 1.1.
E1425 - For All Neutral Factions
Research Name: Rarity
Hint: Be neutral. Be different. For a short week.
Requirement: 5 days playtime each with Titan, Druid and Faceless + Research A545 & C1300
Cost: 131 Qivg (1.31e80)
Effect: Increase Gem Grinder bonus based on the amount of artifacts you found.
Formula: (1.25 * x ^ 1.25)%, where x is artifacts found.
E3250 - For All
Research Name: Hirelings
Requirement: (Intimidation E1325) and (Scholarship S2875).
Cost: 661.6 USxg (6.616e188)
Effect: Gives assistants based on the amount of coins you own.
Formula: +(1.5 * ln(1 + x) ^ 1.5), where x is amount of coins you own.
E3300 - For Mercenary
Research Name: Estates
Hint: 50k shades of uniqueness.
Requirement: 45000 Unique buildings, (Hoarding E1225) and (Combination A2950).
Cost: 629.2 DSxg (6.292e191)
Effect: Gives you all the Unique Buildings of your alignment.
Effect: Ascension 3: Gain all the Unique Buildings that match your alignments.
E5125 - For All Factions
Research Name: Decentralization
Requirement: R175+, Forgotten Relic, Vault artifact and upgrade.
Effect: Increase the production of all buildings based on the amount of buildings you own. Lower tiers get better bonuses.
Formula: ((3 - 0.25 * T) ^ 4 * x ^ 0.6)%, where T is building tier and x is the number of (every) buildings you own.
E5375 - For Balance
Research Name: Whipround
Requirement: R177+, Forgotten Relic, Vault artifact and upgrade.
Effect: Increase Royal Exchange bonus additively and multiplicatively based on Tax Collections cast in this game.
Additive Formula: +(x ^ 0.2), where x is the amount of Tax Collections cast this game.
Multiplicative Formula: (0.85 * x ^ 0.15)%, where x is Tax collections cast this game.
E5625 - For All Factions
Research Name: Loan Sharking
Requirement: R179+, Forgotten Relic, Vault artifact and upgrade.
Effect: Tax Collection is worth more based on Gold owned.
Formula: +(log10(1 + x) ^ 1.5), where x is your current amount of coins.
E5875 - For All Factions
Research Name: Prosperity
Requirement: R181+, Forgotten Relic, Vault artifact and upgrade.
Effect: Multiplicatively increase Faction Coin find chance based on your faction spell activity in this game.
Formula: (0.4 * x ^ 0.4)%, where x is your least used faction spell (This game)
Note: Only checks the base faction spell of your faction(s). On mercs, scales off Share Benefits and the two chosen Faction Spells.
E10875 - For All Factions
Research Name: Rigmarole
Requirement: R221+
Effect: Increase Royal Exchange bonus based on the highest amount of assistants you had in this Reincarnation (Additive).
Formula: +(ln(1 + x) ^ 2)%, where x is your highest assistants count this Reincarnation.
E11125 - For All Factions
Research Name: Grey Friday
Requirement: R223+
Effect: Reduce building cost multiplier and increase the production of all buildings based on Royal Exchange bonus.
Formula: -0.02, with no other reductions applying, the multiplier will be 1.13 instead of 1.15.
Formula: (1.2 * x ^ 0.8)%, where x is your Royal Exchange bonus.
E11375 - For All Factions
Research Name: Heist
Requirement: R225+
Effect: Increase production bonus of Gems based on the amount of assistants you have.
Formula: +(2.25 * ln(1 + x) ^ 2.25)%, where x is the amount of assistants you have.
E11625 - For All Factions
Research Name: Surplus
Requirement: R227+
Effect: Multiplicatively increase assistants based on the amount of Gems you have.
Formula: (25 + 0.25 * ln(1 + x) ^ 1.5)%, where x is the amount of Gems you have.
E11875 - For All Factions
Research Name: Overworking
Requirement: R229+
Effect: Goblin's Greed casts additional Tax Collection per second based on the amount of assistants you have.
Formula: +(1.5 * x ^ 0.5), where x is the amount of assistants you have.
Note: Catalyst can also trigger this effect.
E12250 - For All Factions
Research Name: Oilery
Requirement: R232+
Effect: While both Lightning Strike and Gem Grinder are active, multiplicatively increase the production bonus from Gems based on the duration of your longest spell.
Formula: (0.8 * x ^ 0.8)%, where x is the duration of your longest spell.
E13125 - For All Factions
Research Name: Discount
Requirement: R239+
Effect: Reduce Royal Exchange, Excavation and Building cost multipliers. All spells cost 50% less mana to cast.
Note: Cost multiplier reduction is -0.02 for all three.
E13500 - For All Factions
Research Name: Recession
Requirement: R242+
Effect: Gain all Lineage base effects that match your alignments, up to a maximum of level 25.
Note: This will reduce the level of all lineages you do not pick to 25 for the current run (including lineages that don't match your alignments), which will lower the effectiveness of upgrades based on those lineage levels.
A1 - For Undead
Research Name: Plague
Cost: 750 Qag (7.50e125)
Effect: Increase the production of Undercities by 20% per assistant you own.
A10 - For Goblin
Research Name: Transmutation
Hint: Too many witches, not enough houses!
Requirement: 2250 Goblin Banks
Cost: 28.83 Uqag (2.883e127)
Effect: Increase the production of all other buildings by 85% per Goblin Bank you own.
A25 - For Demon
Research Name: Deflagration
Hint: Hellfire!
Requirement: 666 Hellfire Blasts (Total this R)
Cost: 12.63 Dqag (1.263e130)
Effect: Reduces Hellfire Blast duration by 16 seconds, reduces its mana cost by 200 and increases its effect by 800%.
A30 - For Fairy
Research Name: Delayed Reaction
Hint: Fairy Greatest Hits.
Requirement: 750 Fairy Chanting (Total this R)
Cost: 95.88 Dqag (9.588e130)
Effect: 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.
Additive Production increase formula: floor(1000 * t ^ 1.5), where t is how long FC has been active in seconds.
Duration increase formula: floor(x / 800) ^ 0.8) seconds, where x is the number of Farms, Inns, and Blacksmiths you own.
A50 - For Angel
Research Name: Gilding
Hint: Regeneration magic.
Requirement: 120 Mana Regen (as Undead)
Cost: 318.8 Tqag (3.188e134)
Effect: 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 - For All Factions
Research Name: Refraction
Hint: Iacta Incantatio.
Requirement: Cast 25000 spells (This Game)
Cost: 2.421 Qaqag (2.421e135)
Effect: Improve offline production based on spells cast.
Formula: round(5 * x ^ 0.85), where x is your Spells Cast (Total) stat.
A105 - For All Factions
Research Name: Fusion
Hint: Blacksmith City.
Requirement: 2750 Blacksmiths
Cost: 1.544 Spqag (1.544e144)
Effect: 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 - For All Factions
Research Name: Vivification
Hint: Maximum Magic!
Requirement: Have 6500 Max Mana.
Cost: 676 Spqag (6.76e146)
Effect: Gain additional assistants based on max mana.
Formula: floor((x / 15) ^ 0.825), where x is your maximum mana.
A135 - For All Factions
Research Name: Decay
Hint: Spend some quality time.
Requirement: 1 Day playtime (This Reincarnation) (Unlock as Undead)
Cost: 296 OcQag (9.6e149)
Effect: Increase the production of all buildings based on time spent in this Reincarnation.
Formula: (0.03 * (2 * x) ^ 0.7)%, where x is time spent in this Reincarnation in seconds.
A150 - For All Factions
Research Name: Explosives
Requirement: Research (A25) Deflagration & (A30) Delayed Reaction
Cost: 129.6 Noqag (1.296e152)
Effect: Whenever you cast a spell, increase the production of your most productive building based on the amount of mana produced in this game for 20 seconds. If another spell is cast while this effect is active, it is restored to full duration.
Formula: round(0.7 * x ^ 0.6)%, where x is your Mana Produced (Total) stat.
A175 - For Undead
Research Name: Soulweaving
Requirement: Research Cursing (D25) & Reinforcing (C135)
Cost: 3.273 Uqig (3.273e156)
Effect: 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 amount of times you reincarnated.
A200 - For All Factions
Research Name: Corrosion
Requirement: Research Plague (A1) & Decay (A135)
Cost: 82.65 Dqig (82.65e160)
Effect: Increase clicking reward based on time spent in this game.
Formula: (0.07 * (2 * x) ^ 0.75)%, where x is your Playtime (This Game) in seconds.
A250 - For All Factions
Research Name: Philosopher's Stone
Requirement: Research Transmutation (A10) & Empowered Luck (S175)
Cost: 52.7 Qiqig (5.27e169)
Effect: 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 - For Druid
Research Name: Infusion
Requirement: Secrets of the Ancients (as Druids)
Cost: 79.05 QiQig (7.905e169)
Effect: 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 - For All Factions
Research Name: Synthesis
Hint: Faction Currency.
Requirement: 20 B (2e10) Faction Coins (This game)
Cost: 175.2 SxQig (1.752e173)
Effect: Increase the duration of all spells based on the amount of Faction Coins found in this game.
Formula: (1.5 * ln(1 + x) ^ 1.5)%, where x is Factions Coins found (This game).
A300 - For Faceless
Research Name: Creeping
Hint: Blue Production.
Requirement: Produce 5M mana (This game) as Druid
Cost: 33 OcQig (3.36e178)
Effect: Increase mana regeneration based on mana produced in this game.
Formula: floor(30 * ln(1 + x) ^ 1.2) / 10, where x is your Mana Produced (This Game) stat.
A305 - For All Factions
Research Name: Engraving
Hint: Druidic experience.
Requirement: 2 days as Druids (across all Reincarnations)
Cost: 255.2 OcQig (2.552e179)
Effect: Increase your chance to find Faction Coins based on the amount of spells cast in this game.
Effect: Also increase Faction Coins find chance by a multiplicative 100%.
Formula: floor(3.5 * ln(1 + x) ^ 3.5)%, where x is your Spells Cast (This Game) stat.
A330 - For All Factions
Research Name: Adaptation
Requirement: Research Mutation (D260) & Meditation (D275)
Cost: 6.443 Sxg (6.443e183)
Effect: Increase the production of all buildings based on time spent playing as other factions.
Formula: (0.05 * (x - y) ^ 0.7)%, where x is All Time playtime and y is the highest All Time spent amongst your current factions.
A375 - For Druid
Research Name: Transfusion
Requirement: Research Infusion (A251) & Engraving (A305)
Cost: 541 DSxg (5.41e191)
Effect: 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 - For All Factions But Mercenary
Research Name: Bloodspring
Requirement: Research Assimilation (S251) & Transfusion (A375).
Cost: 13.66 QaSxg (1.366e196)
Effect: You get your faction's Bloodline effect for free. Bloodstream counts time spent with both factions.
Note: Provides Prestige Bloodline for Elite Factions from R125 to R129, MAD bloodlines at R130+.
Note: Does not work with two Bloodlines of the same type.
A410 - For Drow
Research Name: Poisons
Hint: Evil Churches.
Requirement: 4000 Sanctuaries
Cost: 787.7 QaSxg (7.877e197)
Effect: Increase the production of all other buildings by 95% per Spider Sanctuary you own.
A480 - For All Factions
Research Name: Waste
Hint: Royal Trade Network.
Requirement: 2000 Royal Exchanges
Cost: 1.67 NoSxg (1.67e210)
Effect: 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 - For Dwarf
Research Name: Elixirs
Hint: Never enough servitude.
Requirement: 500 Base Assistants (as Drow)
Cost: 731.4 NoSxg (7.314e212)
Effect: Increase assistants production based on the amount of research made.
Formula: (40 * x ^ 0.4)%, where x is the Amount of Researches made.
A545 - For All Factions
Research Name: Mineralogy
Hint: Full Showcase.
Requirement: 700 trophies
Cost: 466.3 DSpg (4.663e221)
Effect: Increases mana regeneration based on Gems you own.
Formula: (log10(x) / 2), where x is Gems you own.
A590 - For Undead,Drow
Research Name: Hexing
Requirement: 200 Drow Exchanges as Drodead, Research Cursing (D25) and Poisons (A410)
Cost: 39.16 QiSpg (3.916e229)
Effect: 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 - For Neutral,Dragon
Research Name: Melting
Hint: Steel Stronghold.
Requirement: 5000 Iron Stronghold, Any Neutral Dragon
Cost: 5.195 Uvg (5.195e66)
Effect: Increase the production of all other buildings per Iron Strongholds owned by 0.35%
Formula: (0.35 * x)%, where x is Iron Strongholds owned.
A1325 - For All Factions
Research Name: Calefaction
Hint: Excavate me out!
Requirement: 4500 Excavations (This R)
Cost: 144.9 Tvg (1.449e74)
Effect: Increase mana regeneration based on the amount of excavations made.
Formula: floor(0.02 * x), where x is current excavations.
A1500 - For Druid,Dragon
Research Name: Sublimation
Hint: How long required to achieve a Grand Balance?
Requirement: 21600s (6 hours) Grand Balance Cast Time (This Game), Research D590 & A1325, Druid,Dragon
Cost: 3.843 Spvg (3.843e84)
Effect: Increase Faction Coin find chance based on the amount of Unique Buildings you own.
Effect: Also increase Faction Coin find chance by a multiplicative 250%.
Formula: (40 * x * 0.8), where x is Unique Buildings owned.
A2950 - For Mercenary
Research Name: Combination
Hint: Some lineage?
Requirement: All Lineages Level at 15.
Cost: 259 SxQig (2.59e173)
Effect: Select an additional bloodline.
Effect: You also gain the base effect of its respective Lineage.
Effect: Combination Bloodline effects R60/R115 power.
A3400 - For All Factions
Research Name: Chemistry
Hint: Get attracted to Faction Coins.
Requirement: 1 No (1e30) FC (Found this Game), (Customizing C3000) & (Manipulation S3200).
Cost: 894.5 QiQig (5.69e197)
Effect: Increases Faction Coin find chance based on the total amount of Lineage levels you have.
Effect: Also increases Faction Coin find chance by a multiplicative 300%.
Formula: 3 * x ^ 2.25, where x is total Lineage levels.
A5125 - For All Factions
Research Name: Putrefaction
Requirement: R175+, Forgotten Relic, Athanor artifact and upgrade.
Effect: Increase the production of Non-Unique buildings based on the longest time spent without abdicating in this Reincarnation.
Formula: (0.7 x ^ 0.7), where x is the longest time spent without abdicating (This R).
A5375 - For Order
Research Name: Albedo
Requirement: R177+, Forgotten Relic, Athanor artifact and upgrade.
Effect: Increase all spells duration based on spell casts in this game.
Formula: (ln(1 + x) ^ 1.8)%, where x is spell casts this game.
A5625 - For All Factions
Research Name: Reduction
Requirement: R179+, Forgotten Relic, Athanor artifact and upgrade.
Effect: Reduce all spells cost based on their individual duration.
Formula: Additive reduction: ((x/y) ^ 0.65), where x is duration and y is base duration.
A5875 - For All Factions
Research Name: Equivalence
Requirement: R181+, Forgotten Relic, Athanor artifact and upgrade.
Effect: Multiplicatively increase Royal Exchange bonus based on Faction Coin found in this game.
Formula: (log10(x) ^ 1.5), where x is faction coins this game
A10875 - For All Factions
Research Name: Toxicity
Requirement: R221+
Effect: Multiplicatively increase mana regeneration based on time spent with the faction opposite to your current one, in this Reincarnation.
Formula: (1.3 * x ^ 0.7)%, where x is time spent with opposite-alignment faction this R.
Note: For Neutral and Balance the opposite is Neutral and Balance respectively (therefore Druid counts Druid playtime itself).
A11125 - For All Factions
Research Name: Alkahest
Requirement: R223+
Effect: Clicks count more based on the amount of active spells.
Formula: (x ^ 1.5)%, where x is the amount of active spells.
A11375 - For All Factions
Research Name: Azoth
Requirement: R225+
Effect: Increase clicking reward based on Mana Regeneration.
Formula: (2 * log10(1 + x) ^ 2)%, where x is Mana Regeneration
A11625 - For All Factions
Research Name: Anima Mundi
Requirement: R227+
Effect: Multiplicatively increase Maximum Mana based on Faction Coins found in this Reincarnation.
Formula: (0.4 * log10(1 + x) ^ 2)%, where x is Faction Coins found in this Reincarnation.
A11875 - For All Factions
Research Name: Liquefaction
Requirement: R229+
Effect: Increase the production of the three highest building tiers based on Hellfire Blast activity time in this Reincarnation.
Formula: (0.7 * x ^ 0.7)%, where x is Hellfire Blast activity time in this Reincarnation.
A12250 - For All Factions
Research Name: Folgoration
Requirement: R232+
Effect: While both Diamond Pickaxe and God's Hand are active, multiplicatively increase Mana Regeneration and Faction Coin find chance based on the amount of Excavations made in this Reincarnation, including resets.
Formula: (15 + 1.75 * (x * y) ^ 0.75)%, where x is the amount of Excavations and y the amount of Excavation resets made in this Reincarnation respectively.
A13125 - For All Factions
Research Name: Cinnabar
Requirement: R239+
Effect: All spells activity time counts more based on Tax Collection casts in this game.
Formula: (2 * ln(1 + x) ^ 2)%, where x is the number of Tax Collections cast this game.
A13500 - For All Factions
Research Name: Lunafaction
Requirement: R242+
Effect: All Balance spells can be cast up to 3 tier above their maximum. Increase Offline production based on time spent as Balance in this Reincarnation.
Formula: (0.7 * x ^ 0.7)%, where x is time spent as Balance this Reincarnation.
Note: All Creation can be cast up to Tier 5 (This research overrides Dragon Set 2). Moon Blessing, Goblin’s Greed and Grand Balance can be cast up to Tier 10. Infinite Spiral can be cast up to Tier 4.
W1 - For Demon
Research Name: Assault
Cost: 750 Qag (7.50e125)
Effect: Increase the production of Infernal Realms based on the amount of Hellfire Blasts cast in this game.
Formula: (30 * x ^ 0.7)%, where x is Hellfire Blasts Cast This Game.
W10 - For Elf
Research Name: Dueling
Hint: Too many soldiers. More barracks!
Requirement: 2000 Warrior Barracks
Cost: 28.83 Uqag (2.883e127)
Effect: Increase the production of all other buildings by 90% per Elven Training Grounds you own.
W25 - For Goblin
Research Name: War Funds
Hint: Get rich.
Requirement: 1 Tqag (1e132) Coins Gained (This Game)
Cost: 12.63 Dqag (1.263e130)
Effect: Increase the production of all buildings based on the amount of Tax Collections cast in this game.
Formula: round(5 * x ^ 0.5)%, where x is Tax Collections Cast This Game.
W50 - For Undead
Research Name: Exertion
Hint: Bad times!
Requirement: 12 hours of Evil Play Time this R (Unlock as Demon)
Cost: 318.8 Tqag (3.188e134)
Effect: Increase faction coin find chance based on the number of Undercities you own.
Formula: (floor(1.5 * x ^ 1.1))% where x is the number of Undercities you own.
W120 - For All Factions
Research Name: Betrayal
Hint: How big of an army can you muster?
Requirement: 250 base assistants
Cost: 676 Spqag (6.76e146)
Effect: 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 - For All Factions
Research Name: Rampage
Hint: Light up those cups!
Requirement: 580 Trophies (as Demon)
Cost: 296 Ocqag (9.6e149)
Effect: Increase maximum mana based on the number of trophies you have unlocked.
Formula: floor(1.3 * x ^ 1.1), where x is the amount of trophies unlocked.
W150 - For All Factions
Research Name: Invasion
Requirement: Research War Funds (W25) & Rampage (W135)
Cost: 129.6 Noqag (1.296e152)
Effect: 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 - For Demon
Research Name: Overwhelm
Requirement: Research Assault (W1) & Invasion (W150)
Cost: 3.273 Uqig (3.273e156)
Effect: You gain additional assistants based on total amount of evil spells cast.
Formula: +(10 + x ^ 0.9), where x is the amount of evil spells cast.
W180 - For All Factions
Research Name: Formation
Requirement: 1000 Call to Arms (This R), Research Dueling (W10) & Exertion (W50)
Cost: 24.85 Uqig (2.485e157)
Effect: Each building counts 15 times for Call to Arms purposes.
W200 - For All Factions
Research Name: Crusade
Requirement: Research Hallowing (D50) & Formation (W180)
Cost: 82.65 Dqig (8.265e160)
Effect: Gain additional assistants based on time spent as Good this R.
Formula: floor(0.065 * x ^ 0.5), where x is your Time Spent Being Good (This R) stat.
W205 - For All Evil Factions
Research Name: Berserking
Requirement: 850 Blood Frenzy (This R), Research Rampage (W135) & Retribution (D150)
Cost: 627.6 Dqig (6.276e161)
Effect: While Blood Frenzy is active, increase mana regeneration based on the amount of assistants you own.
Effect: Also increases offline spell cast amount multiplicatively by 300%.
Formula: floor(0.25 * x ^ 0.9), where x is your Assistants stat.
W225 - For Angel
Research Name: Critical Strike
Requirement: Research Dueling (W10) & Transfixion (D55)
Cost: 2.087 Qaqig (2.087e165)
Effect: Holy Light empowers Heaven’s Domains based on Holy Light activity time in this Reincarnation.
Formula: (5 * x ^ 0.65)%, where x is Holy Light active time This Reincarnation in seconds.
W250 - For All Factions
Research Name: Swarming
Requirement: Research Overwhelm (W175) & Berserking (W205)
Cost: 52.7 Qiqig (5.27e169)
Effect: Gain additional assistants based on the amount of trophies you unlocked.
Formula: floor(x / 8), where x is the amount of trophies unlocked.
W260 - For Titan
Research Name: Athletics
Hint: Too many legends! Need more room!
Requirement: 3,000 Olympian Halls
Cost: 3.039 SxQig (3.039e171)
Effect: Increase the production of all other buildings by 100% per Olympian Hall you own.
W275 - For Faceless
Research Name: Domination
Hint: How many people are required to throw a party?
Requirement: 300 Base Assistants (as Faceless)
Cost: 1.331 SpQig (1.331e174)
Effect: Increase Faction Coin find chance based on the highest amount of assistants you had in a single game.(This R)
Effect: Also a 50% multiplicative Faction Coin find chance.
Formula: (200 * x ^ 0.55), where x is your Assistants (Max) stat.
W290 - For All Factions
Research Name: Entrench
Hint: Dig, dig, dig the hole.
Requirement: 2,000 Excavations
Cost: 582.7 SpQig (5.827e176)
Effect: 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 - For All Factions
Research Name: Shattering
Hint: Down all the way.
Requirement: 2,650 Excavations
Cost: 1.117 NoQig (1.117e180)
Effect: 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 - For All Factions
Research Name: Heroism
Requirement: Research Crusade (W200) & Athletics (W260).
Cost: 6.443 Sxg (6.443e183)
Effect: 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 - For Druid
Research Name: Survival
Requirement: Research Creeping (A300) & Synthesis (A270).
Cost: 21.42 USxg (2.142e187)
Effect: Increase the production of all other buildings based on the production of your Stonehenge Circles.
Formula: (75 * (log10(1 + x)) ^ 1.3))%, where x is the production of your Stonehenge Circles.
W400 - For All Factions
Research Name: Siege
Requirement: Research Architecture (C251) & Entrench (W290).
Cost: 13.66 QaSxg (1.366e196)
Effect: Each building in the three highest building tiers count as 2 buildings for all purposes.
W405 - For Drow
Research Name: Ambush
Requirement: Secrets of the Underworld (as Drow)
Cost: 103.7 QaSxg (1.037e197)
Effect: Increase the production of Spider Sanctuaries based on offline Bonus
Formula: (3.25 * log10(1 + x) ^ 3.25)%, where x is offline production bonus multiplier.
Note: This research is treated as an A1 upgrade for A-nerf purposes.
W520 - For Drow
Research Name: Stalking
Requirement: Research Exertion (W50) and Ambush (W405)
Cost: 18.47 Uspg (1.847e217)
Effect: Gain 1 assistant for every 100 seconds of Combo Strike activity time (This Game).
W525 - For Evil
Research Name: Bloodlust
Requirement: 129600s (1d 12hours) as Evil (This R), Research Berserking (W205) and Focus (S460)
Cost: 140.2 USpg (1.402e218)
Effect: 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.
W560 - For Dwarf
Research Name: Resilience
Requirement: Research Eternity (D330) and Mercy (D480)
Cost: 204.2 TSpg (2.042e224)
Effect: Increase clicking reward based on the amount of clicks made in this game.
Formula: (4 * x ^ 0.4)%, where x is your Treasure Clicks (This Game) stat.
W590 - For Demon,Drow
Research Name: Torture
Requirement: 200 Drow Exchanges as Dromon, Research Soulrending (D245) and Stalking (W520)
Cost: 39.16 QiSpg (3.916e229)
Effect: Increase assistants production based on total time spent being Evil (This R).
Formula: (8 * x ^ 0.8)%, where x is your Time Spent Being Evil stat.
W1275 - For All Factions
Research Name: Authority
Hint: How long does your Call to Arms last?
Requirement: 43200s (12 hours) Call to Arms Cast Time (This game).
Cost: 152.4 Dvg (1.524e71)
Effect: Increase the duration of all spells based on Call to Arms activity time in this Reincarnation.
Formula: (x ^ 0.5)%, where x is Call to Arms active time This Reincarnation in seconds.
W1375 - For All Factions
Research Name: Scavenging
Hint: GUD? More like Evil.
Requirement: 7 days spent as evil (across all Reincarnations)
Cost: 137.8 Qavg (1.378e77)
Effect: Increases Faction Coin find chance by a multiplicative 200%.
Effect: Increase the chance to find Faction Coins based on the amount of assistants you own.
Formula: (100 * x ^ 0.5), where x is assistants.
W1400 - For Dragon
Research Name: Cataclysm
Requirement: Research W400, A1200, Affiliated Dragon
Cost: 4.249 Qivg (4.249e78)
Effect: Increase maximum mana based on the amount of clicks made in this game.
Formula: +(650 * x ^ 0.35), where x is the amount of clicks made in this game.
W3050 - For Mercenary
Research Name: Flanking
Requirement: 50000 Base Assistants, (Authority W1275) and (Intimidation E1325).
Cost: 809 SpQig (8.09e176)
Effect: Increases the production of buildings one tier directly above or below a Unique Building based on the amount of assistants you own.
Formula: (2 * x ^ 0.8)%, where x is assistants.
W3150 - For All Factions
Research Name: Upheaval
Hint: More of the baseline production buildings!
Requirement: 60000 Farms, Inns and Blacksmiths.
Cost: 731.6 NoQig (7.316e182)
Effect: Increases the production of all buildings based on their tier, giving the highest bonus to the lowest.
Formula: (150 * (12 - T) ^ 2.15)%, where T is building tier.
W5125 - For All Factions
Research Name: Sovereignty
Requirement: R175+, Forgotten Relic, Battlefield artifact and upgrade.
Effect: Increase the production of two highest tier buildings based on assistants you own.
Formula: (0.5 * x ^ 0.25)%, where x is assistants.
W5375 - For Evil
Research Name: Officers
Requirement: R177+, Forgotten Relic, Battlefield artifact and upgrade.
Effect: Multiplactively increase assistants based on the amount of trophies unlocked.
Formula: (2.5 * x ^ 0.5), where x is trophies.
W5625 - For All Factions
Research Name: Concealment
Requirement: R179+, Forgotten Relic, Battlefield artifact and upgrade.
Effect: Offline time counts more based on Mana Produced in this game.
Effect: (2 * ln(1 + x) ^ 2)%, where x is mana produced (This game).
W5875 - For All Factions
Research Name: Patience
Requirement: R181+, Forgotten Relic, Battlefield artifact and upgrade
Effect: Time spent with Prestige Counts 500% more.
Effect: Time spent with Elite factions Counts 1000% more.
W10875 - For All Factions
Research Name: Revolution
Requirement: R221+
Effect: Gain assistants based on Royal Exchanges made.
Formula: +(x ^ 0.75), where x is royal exchanges made.
W11125 - For All Factions
Research Name: Vengeance
Requirement: R223+
Effect: Increase Offline production based on the duration of your longest spell.
Formula: (5 + 1.5 * x ^ 0.5)%, where x is the duration of your longest spell.
W11375 - For All Factions
Research Name: Pacifism
Requirement: R225+
Effect: Increase all spells durations based on time spent in this game.
Formula: (0.7 * x ^ 0.7)%, where x is time spent this game.
W11625 - For All Factions
Research Name: Genocide
Requirement: R227+
Effect: Increase the production of all buildings based on time spent with the least used faction.
Formula: (50 + x ^ 0.85)%, where x is time spent with the least used faction this R in seconds.
W11875 - For All Factions
Research Name: Scouting
Requirement: R229+
Effect: Buildings count more based on the maximum amount of Grand Balance targets you had in this Reincarnation.
Formula: (x ^ 0.9)%, where x is the maximum amount of Grand Balance targets you had in this Reincarnation.
Note: Amount of targets can be seen at Druid Challenge Reward, but needs an active Grand Balance to update.
W12250 - For All Factions
Research Name: Raiding
Requirement: R232+
Effect: Increase the production of all buildings based on the highest Combo Strike counter you had in this Reincarnation.
Formula: (2.5 * x ^ 0.5)%, where x is the highest Combo Strike counter in this Reincarnation.
W13125 - For All Factions
Research Name: Artillery
Requirement: R239+
Effect: Increase all spell duration based on the highest amount of spells cast in this Reincarnation.
Formula: (2 * ln(1 + x) ^ 2)%, where x is the highest number of spells cast in a single run this Reincarnation.
W13500 - For All Factions
Research Name: Backfire
Requirement: R242+
Effect: Increase the production of Evil buildings based on time spent as Good, the production of Chaos buildings based on time spent as Order, and the production of Chaos Evil buildings as the sum of time spent as Good and Order. Also increases the production of Good and Order buildings based on Evil and Chaos in the same way.
Formula: (0.7 * x ^ 0.7)%, where x is the respective time stat in seconds.
Note: Buildings only receive the highest effect (That is, if the building is Evil/Chaos, it only gets the Evil/Chaos bonus, not the Evil or the Chaos individual bonuses).
Note: The Good/Evil alignment of a building applies normally, while the Order/Chaos alignment of a building only applies to Base Faction's Unique Buildings (both UB1 and UB2) and Elite Unique Buildings
F5250 - For All Factions
Research Name: Dreamwalking
Requirement: R176+, Forgotten Relic, Apeiron artifact and upgrade.
Cost: Free
Effect: Increase Offline Bonus based on time spent offline in this Reincarnation.
Formula: (0.7 * x ^ 0.7), where x is offline time (This R).
F5500 - For All Factions
Research Name: Gathering
Requirement: R178+, Forgotten Relic, Apeiron artifact and upgrade.
Cost: Free
Effect: Additively increase production bonus from Gems based on your Faction Coin find chance.
Formula: (2.5 * log10(1 + x) ^ 2.5), where x is faction coin find chance.
F5750 - For All Factions
Research Name: Corruption
Requirement: R180+, Forgotten Relic, Apeiron artifact and upgrade.
Cost: Free
Effect: Gain the base Union effect of your opposite Alignment.
Note: Only gain the effects of the Base Faction that matches both alignments. For Neutral and Balance the opposite is Neutral and Balance respectively.
F6000 - For All Factions
Research Name: Inevitability
Requirement: R182+, Forgotten Relic, Apeiron artifact and upgrade.
Cost: Free
Effect: Increase your next time head start based on time spent in this game.
Note: Capped at time spent in your current Reincarnation.
Note: Does not count when Reincarnating.
Formula: (x ^ 0.75), where x is time spent (This Game).
F11000 - For All Factions
Research Name: Godslaying
Requirement: R222+
Effect: Active spells count more based on the sum of your Faction spells activity time.
Formula: (0.575 * x ^ 0.575)%, where x is your current faction(s)’ faction spell activity time this R in seconds.
F11250 - For All Factions
Research Name: Inanity
Requirement: R224+
Effect: Excavations count more based on time spent offline in this game.
Formula: (0.9 * x ^ 0.45)%, where x is time spent offline this game.
F11500 - For All Factions
Research Name: Paradox
Requirement: R226+
Effect: Gain the Set bonus of your opposite alignment.
Note: Only gain the effects of the Base Faction that matches both alignments. For Neutral and Balance the opposite is Neutral and Balance respectively.
F11750 - For All Factions
Research Name: Relativity
Requirement: R228+
Effect: You can purchase one Legacy of your choice for free.
Note: This will not increase the cost of the normal Legacy.
F12000 - For All Factions
Research Name: Revelation
Requirement: R230+
Effect: Allows the purchase of one additional Legacy Combo upgrade.
F12500 - For All Factions
Research Name: Avatars
Requirement: R234+
Effect: Multiplactively increase assistants based on the amount of different Factions in your Legacies.
Formula: (50 * x ^ 2.5)%, where x is the amount of different Factions in your Legacies.
F13250 - For All Factions
Research Name: Taboo
Requirement: R240+
Effect: Increase the production of all buildings based on the amount of faction upgrades different than your own.
Formula: (1.2 * x ^ 1.2)%, where x is the number of faction upgrades you have that are not part of your faction.
Note: Faction upgrades in this instance refers to only the main 12 faction upgrades (that you get via Legacies). Lineage Perks, Advanced Heritages and such are not counted toward this research.
F13750 - For All Factions
Research Name: The Unseen
Requirement: R244+
Effect: Increase Offline production based on the maximum amount of assistants you had in this Reincarnation.
Formula: (2 * ln(1 + x) ^ 2)%, where x is the highest number of assistants you had this Reincarnation.
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