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:

Spellcraft

S1 - For Fairy

Research Name: Enchanting

Cost: 750 Qag (7.5e125)

Effect: Increase the production of Enchanted Fields based on mana produced.

Formula: (0.75 * x ^ 0.75)%, where x is your Mana Produced (This Game) stat.


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 by 110% per Heaven's Domain 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 in seconds.

Mana Regeneration Formula: +(0.5 * x ^ 0.5), where x is time spent in this game in seconds.


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) stat.


S305 - For All Factions

Research Name: Mesmerization

Hint: Face not required for a long time.

Requirement: 2 days as Faceless (Total across all R)

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.

Notes: This research is treated as an A1 upgrade for A-nerf purposes.


S330 - For All Factions

Research Name: Reverberation

Requirement: Research Cryomancy (A200) & 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 (counting tiers).

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 spell activity time in seconds.

Multiplicative: (6 + 0.6 * x ^ 0.6)%, where x is spell activity time in seconds.


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: (log10(1 + x) ^ 2)%, where x is mana produced 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.


Craftsmanship

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 Gained (This Game) stat.


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 by 60% per Enchanted Field that you have.


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) stat.


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: (0.8 * ln(1 + x) ^ 3)%, where x is your Demon Coins Gained (This Game) stat.


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 total time spent as that faction.

Formula: round(0.125 * x ^ 0.7)%, where x is your Time Spent as that faction stat.


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 (Total across all R)

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: 15 days Mercenary time spent (All Time).

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.

Formulas

Additive: +(6 * x ^ 0.6)%, where x is clicks made in this game.

Multiplicative: (x ^ 0.35)%, 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 total amount of buildings.


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.


Divine

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.

Notes: 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 per Second stat.


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 Faction Coin find chance in percent.


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: 604800s 7 days spent as good (Across all Rs)

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.

Formula: (10 * x ^ 0.7)%, where x is time spent with Mercenary.


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 avaliable 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

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

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

Effect: Reincarnations count 100% more.


D11625 - For All Factions

Research Name: Compassion

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.


Economics

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: (round(10 * 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 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 isntead 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

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

Effect: Reduce building cost multiplier.

Formula: -0.02, with no other reductions applying, the multiplier will be 1.13 instead of 1.15.


E11375 - For All Factions

Research Name: Heist

Effect: Increase production bonus of Gems based on the amount of assistants you have (Additive).

Formula: +(2 * ln(1 + x) ^ 2)%, where x is the amount of assistants you have.


E11625 - For All Factions

Research Name: Surplus

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.


Alchemy

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 1000%.


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 (Total across all R)

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: round(0.05 * x ^ 0.7)%, where x is time spent as other 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.

Tip: E290 and end of R54.


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

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

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

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

Effect: Multiplicatively increase Maximum Mana based on Faction Coins found in this Reincarnation.

Formula: (0.5 * log10(1 + x) ^ 2)%, where x is factiom coins found this R


Warfare

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: (70 * 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 ^ 0.6)%, 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: (8 + 0.8 * x ^ 0.8), 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.

Notes: 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: 604800s 7 days spent as evil (Across all Rs)

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 clicks (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: Gain assistants multiplicatively based on 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

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

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

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

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.


Forbidden

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

Effect: Active spells count more based on the sum of your Faction spells activity time.

Formula: (0.7 * x ^ 0.7)%, where x is your current faction(s)’ faction spell activity time this R in seconds.


F11250 - For All Factions

Research Name: Inanity

Effect: Excavations count more based on time spent offline in this game.

Formula: (0.8 * x ^ 0.4)%, where x is time spent offline this game.


F11500 - For All Factions

Research Name: Paradox

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

Effect: You can purchase one Legacy of your choice for free.

Note: This will not increase the cost of the normal Legacy.


| Resources | Soft Resets | Buildings | Heritages | Bloodlines | Spells | Excavations | Challenges | Upgrades | Trophies | Factions | Research |

| Merc Builds | Research Builds | Prestige Builds | Dragon Unlock | Neutral Prestige Builds | Research Tree |

| Vanilla Factions | Good Factions | Evil Factions | Neutral Factions | Prestige Factions | A2 Elite Factions |

| Events | Latest Major Patch | Changelog | Notation | Terminology | Tools | Kongregate Links |

| Fairy | Elf | Angel | Goblin | Undead | Demon | Titan | Druid | Faceless |

| Mercenary | Dwarf | Drow | Dragon | Archon | Djinn | Makers |

Contact me G00FBALL

Thank You!!! for all your help.

mpeechee

stmlee

Lailoken

sunk

Flameslinger01

Xentha

Origin

VilgefortzPL

okunderground

Blue

iluxa4000

swim

BigGeak

woopemgood

Jakeb2002

zionhian

CHRullz

yob

Sefa

burninglegion64

Aaborg

Cyden

Eltro

primal cradily

ARTEZZ

somarilnos

Grazloth

hiimahotdog

mrothorr

AKL

mangafreak140

acer4321

Mysticman89

Sas Assassin

LeoC.II

Lollipop

Geno

Liraso

Magnusly

pseudobyte

Igorogi

Fonzoland

ivanovichkoslov

dox4242

capito27

Necrodoom

Lapare

Curunur

Tskami_ek

Sum Yung Gai

oholoko

Damxacer1

websterguy

LeoB516

CluelessWonder

Doubleshoe

Sc0rp

Heronimo2

RastlinV

Uni

chaosmarine4226

Namelessname

iam10ninjas

Kanra

myogin

Okami

Parasitez83

Dienes

apocal_88

KRIEG

Sheer

Xorious

The Homa

Chaos

Kurt-bookboy

xemima

Boffo

Luio2revenge

6000j

Yarilo

PseudonymousBosh

UndeadAbbys

Max Schradin

jonny0panic

AJZ3

Slakkarn

noonomoon

Jenetikitty

Suranis

saitenhieb

Slakkarn

MrGerman

WaitingIdly

Zange

eleganceseraph

magnanimousCynic

pkal

tangyifei

torskenn

Exsanguine

xXRochforteXx

Zyllyn

Spanosa

grelf

jabberok

Lavi04

McguyverZero

aviv

TrostNi

Zariars

toifel131

johny_blaze

ThePeon

djones0823

CheeseWitch

Ghorre

BioRules

NTWgrinder

Reknot

Freakomant

lordulster

shayner12

DainDwarf

Wlerin

xeperiset

ehyder

brc48632

WynneYilmaz

Keben

BillK14

ColdDrake13

arintayn2

Shantie

ErrolErrolson

ydc1017902176

Milkopilko

Mechaflood

Wolf415

ThatGuy

drseilzug

ash1soccer

Just1pirate

Space Troll

jgchan29

bobbert

Soulrift

MarioFanaticXV

mangaking118

Franelas

Delichtig

Anathah

KuraTheDog

Tanny

Ck

Lavi04

johnharveybc

Essigschurke

masteff

Merp

Дикий Речной Пёс

Ach3ck

Sho Phaune

Xikre

Just1pirate

Maya

Sandworm

Paah

Redd

5ku||3d

johnleprude

Goholtramor

Matrix4767

GreenMJ13

Bearpaws

Palamazzi

Redd

ManDude33

JezuzLizard

heyitsdross

Fire

Archmage

Proxy

lesdruides

Guy

FastHit

FedeJossa

Masterzan

Ryonir

Cromieplays

bigshawnt

Tyler

RageBall

Xpt14

XenTwo

uwnim

Da Banana Man

DED SERVER

Kacper

homebrewer54

JGChan

Zeen

RebelKeithy

CamoBrie

Zepto

7636kei

Kaos

Ashthar

Cromedome

Coal_CC

Ebilkill

Evengrey

Tenebricosus

Chaosmancer7

Nizidramaniiyt

onianinara

Zelphh1

Synthini

Rustle Crowe

NTWgreatest

spamtraprus

CafeMaker

waterfire425

btzeroes

HeinQuek

Alright

Versine

Fryguy9

raato

escalon

Onoxious

BionicFrog

Ignus

EagleAgg03

Teabagger Vance

Ilya

lvl 1 crook

Seyliz

Zylon

j8ner

Antendren

SomeoneLucas

Boyo

DR

plaaosert

XenosHg

oswarlan

Joa

pizza_troll

NateMcCloud

boss_mc

lesd

Technosaurus

Blackeye

cralo

Weedheter

art-of-dom

Popington

Username

MythWiz_

pacmanlite

Hotspot

gvaiou

tbrown30

Glitchstorm

RetroDerpSquid9

Sythen2014

Lead Luigi

Aaron Cook

gamemasterty

Trewq_

rhaek7

fwbx529

waga baba bobo

Polibus

ukulelejongetje

q1235

kiluh

KyonLevic

Tenyasha

Altoscholto

trevYT

Amirin

NeutralPotato

Vince

BuzzMarzz

Drogor

wolfsblood

blackbird

slantfer

Kroll

Dariof4

furkannnO

Neutral Potato

Taxiway

aurora

Book909

solidifiedmind

StAUG

chrispi

arcanmster

Azua

Zeckenschwarm

visitor counter