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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