**Divine**

Harness the power of the eternals, increasing your spell affinity and bestowing Divine power on all your productivity.

**Increases**: **Angel**, **Faceless**, and **Dwarven** production.

Pointing to this ingame will tell you how many Slots (R16-R159) / Points (R160+) are available also tells you your total research points.

**Research Point Production**

**Formula**: 100000 * (1 + 0.01 * x ^ 0.7), where x is RP total of facility affinities.

**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.

**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**: 100000 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 ^ 0.4), 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**: (0.3 * x ^ 0.7), where x is your least spent faction time.

**D5875** - For All Factions

**Research Name**: Birthright

**Requirement**: R181+, Forgotten Relic, Mythos artifact and upgrade

**Effect**: Gain the Bloodline effects of your least used non-mercenary faction. Based on time (This R), can give any vanilla, prestige or elite bloodline.

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