Spellcraft
S50: - For Goblin
Research Name: Conjuration
Hint: Under a large blue pool...
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 / 600) ^ 0.9), where x is the number of Goblin Banks 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 (this game).
Formula: (5 * ln(x) ^ 1.25), 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.
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: While Lightning Strike is active, all non-target buildings have their production increased based on the amount of Lightning Strikes cast in this game.
Formula: round(120 * x ^ 0.8)%, where x is your Lightning Strikes cast (This Game) stat.
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
S435: - For Drow
Research Name: Spellbinding
Hint: Combo Breaker!
Requirement: 14400s (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.
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.
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.
Craftsmanship
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.
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.
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.
Divine
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.
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.
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.
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.
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.
Economics
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.
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.
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) ^ 1.8), where x is your current gold
Alchemy
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.
Formula: Additive Production increase: floor(1000 * t ^ 1.5), where t is how long FC has been active in seconds.
Formula: Duration increase: floor(x / 800) ^ 0.8) seconds, where x is the number of Farms, Inns, and Blacksmiths you own.
A270 - For All Factions
Research Name: Synthesis
Hint: Faction Currency.
Requirement: 20 B (2E10) Faction Coins (Found 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: (1.25 * ln(1 + x) ^ 1.25), where x is Factions Coins found (this game).
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(x) ^ 1.85), 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.
Warfare
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.
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.
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 the amount of Non-Unique buildings you own.
Formula: (0.5 * x ^ 0.5)%, where x is the amount of Non-Unique buildings you own.
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