Spellcraft

S50 - For: Goblin - Research Name: Conjuration

Requirement: Have 6000 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 /650), where x is the number of Goblin Banks you own.

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Craftsmanship

C105 - For: All Factions - Research Name: Woodcraft

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.

C250 - For: All Factions - Research Name: Magnetism

Requirement: Research Tinkering (C150) & Critical Strike (W225).

Cost: 52.7 Qiqig (5.27E169)

Effect: Increase the chance to find Faction Coins by a multiplicative 50%

Effect: Increase the chance to find faction coins based on total time spent offline. (in minutes)

Formula: floor(7.5 * x ^ 0.75), where x is your Time Spent Offline (Total) in minutes stat.

C400 - For: All Factions - Research Name: Gravitation

Requirement: Research Magnetism (C250) & Weighting (C300)

Cost: 13.66 QaSxg (1.366E196)

Effect: Increase the chance to find Faction Coins based on the amount of Faction Coins found in this game.

Effect: Also increase the chance to find Faction Coins by a multiplicative 175%.

Formula: floor(3.5 * ln^3(x + 1)), where x is your Faction Coins Gained (This Game) stat.

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.

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Divine

D50 - For: Elf - Research Name: Hallowing

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(5 * x^0.85)%, where x is the number of Elven Training Grounds 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 research made.

Formula: floor(0.05 * x ^ 1.25), where x is the amount of research made.

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Economics

E30 - For: All Factions - Research Name: Diplomacy

Requirement: 1000 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.

Formula: Faction Coin Chance: floor(1.5 * x^1.05)%

Formula: Royal Exchange bonus: floor(x^0.6)%, where x is Playtime (This Game in minutes).

E145 - For: All Factions - Research Name: Royal Demand

Requirement: 5,000 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.

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Alchemy

A305 - For: All Factions - Research Name: Engraving

Requirement: 5 days as Druids (Total across all Rs)

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 * logE(1+x) ^ 3.5)%, where x is your Spells Cast (This Game) stat,

or approximately

Formula: floor((ln(x) + 0.69)^{2.75})%, where x is your Spells Cast (This Game) stat.

A3400 - For: Any - Research Name: Chemistry

Requirement: 1 No (1e30) FC (Found this Game), (Customizing C3000) and (Manipulation S3200).

Cost: 533.7 QiSxg (5.337e200)

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 350%.

Formula: 3 * x ^ 2.25, where x is total Lineage levels.

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Warfare

W50 - For: Undead - Research Name: Exertion

Requirement: 2 days of Evil Play Time, Note: Play as any Evil faction, but you must be Demon to unlock this.

Cost: 318.8 Tqag (3.188E134)

Effect: Increase faction coin find chance based on the number of Undercities you own.

Formula: (floor(6.5x^0.65))%, where x is the number of Undercities you own.

W275 - For: Faceless - Research Name: Domination

Requirement: 300 Base Assistants (as Faceless)

Cost: 1.331 SpQig (1.331E174)

Effect: Gain additional Faction Coins per second based on the highest amount of assistants you had in a single game.

Effect: Also a 50% multiplicative Faction Coin find chance.

Formula: floor(125*x&^0.75), where x is your Assistants (Max) stat.

W1375 - For: Any - Research Name: Scavenging

Requirement: 86400s 7 days spent as evil (Across all Rs)

Cost: 651.9 Qavg (6.519E77)

Effect: Increases Faction Coin find chance by a multiplicative 275%.

Effect: Increase the chance to find Faction Coins based on the amount of assistants you own.

Formula: (2500*x^0.425), where x is assistants