User:JrandWP/sandbox/List of googolisms/Polynomial omega level

List of googolisms

Smaller numbers

\(f_{\omega^\omega}(10^{10^6})\) ~ \(f_{\omega^\omega + \omega}(10^{10^6})\)

pete-7.c, \(f_{\omega^\omega}(2\uparrow\uparrow36)\)
Dupertri, {3,3,2 (1) 2}
Duperdecal, {10,3,2 (1) 2}
Linelplex, s(3,3,2{2}2)
Goobolplex, {10,{10,100 (1) 2} (1) 2}
Grand godgahlah, E100#^#100#2
Grand godgahlahgong, E100000#^#100000#2
Truperdecal, {10,4,2 (1) 2}
Grand grand godgahlah / two-ex-grand godgahlah, E100#^#100#3
Grand grand godgahlahgong, E100000#^#100000#3
Quadruperdecal, {10,5,2 (1) 2}
Grand grand grand godgahlah / three-ex-grand godgahlah, E100#^#100#4
Grand grand grand grand godgahlah / four-ex-grand godgahlah, E100#^#100#5
Gibbol, {10,100,2 (1) 2}
Lin-Googol, 10[1{1}1]100
Grandgahlah, E100#^#100#100
Titanicoltrex, #{0:1}*((10))*100
Hundred-ex-grand godgahlah, E100#^#100#101
Eleven-thousand-eight-hundred-sixty-two-ex-grand godgahlahgong, E100000#^#100000#11863
Superis-Terribuporcal, Forcal_2[2]2(1)
Godgahlah-ex-grand godgahlah, E100#^#100#(1+E100#^#100)
Latri, {3,3,3 (1) 2}
Lintrienel, s(3,3,3{2}2)
Gabbol, {10,100,3 (1) 2}
Lin-Doogol, 10[2{1}1]100
Greagahlah, E100#^#100#100#100
Superis-Terribmegocal, Forcal_3[2]2(1)
Geebol, {10,100,4 (1) 2}
Gigangahlah, E100#^#100#100#100#100
Superis-Terribypercal, Forcal_4[2]2(1)
Gibol, {10,100,5 (1) 2}
Gorgegahlah, E100#^#100#100#100#100#100
Gobbol, {10,100,6 (1) 2}
Gulgahlah, E100#^#100#100#100#100#100#100
Gabol, {10,100,7 (1) 2}
Gaspgahlah, E100#^#100##7
Ginorgahlah, E100#^#100##8
Gargangahlah, E100#^#100##9
Googongahlah, E100#^#100##10
Boobol, {10,10,100 (1) 2}
Gugoldgahlah, E100#^#100##100
Lin-Kiloogol, 10[0,1{1}1]100

\(f_{\omega^\omega + \omega}(10^{10^6})\) ~ \(f_{\omega^\omega 2}(10^{10^6})\)

Graatagoldgahlah, E100#^#100##100#100
Titanicolgoltrex, #{0:1}^*((10))*100
Greegoldgahlah, E100#^#100##100#100#100
Grinningoldgahlah, E100#^#100##100#100#100#100
Golaagoldgahlah, E100#^#100##100#100#100#100#100
Gruelohgoldgahlah, E100#^#100##100##6
Gaspgoldgahlah, E100#^#100##100##7
Ginorgoldgahlah, E100#^#100##100##8
Gargantuuldgahlah, E100#^#100##100##9
Googondoldgahlah, E100#^#100##100##10
Gugolthragahlah, E100#^#100##100##100
Bibbol, {10,10,100,2 (1) 2}
Lintetenel, s(3,3,3,3{2}2)
Gugolteslagahlah, E100#^#100##100##100##100
Babbol, {10,10,100,3 (1) 2}
Gugolpetagahlah, E100#^#100###5
Beebol, {10,10,100,4 (1) 2}
Gugolhexagahlah, E100#^#100###6
Bibol, {10,10,100,5 (1) 2}
Gugolheptagahlah, E100#^#100###7
Bobbol, {10,10,100,6 (1) 2}
Gugoloctagahlah, E100#^#100###8
Babol, {10,10,100,7 (1) 2}
Gugolennagahlah, E100#^#100###9
Gugoldekagahlah, E100#^#100###10
Throogahlah / throogogahlah, E100#^#100###100
Troobol, {10,10,10,100 (1) 2}
Lin-Megoogol, 10[0,0,1{1}1]100
Titanic Astuul, #{0:1}{1}((10))*100
Tribbol, {10,10,10,100,2 (1) 2}
Linpentenel, s(3,3,3,3,3{2}2)
Throotergahlah, E100#^#100###100###100###100
Trabbol, {10,10,10,100,3 (1) 2}
Treebol, {10,10,10,100,4 (1) 2}
Tribol, {10,10,10,100,5 (1) 2}
Trobbol, {10,10,10,100,6 (1) 2}
Trabol, {10,10,10,100,7 (1) 2}
Tetroogahlah / teroogahlah / teroogogahlah, E100#^#100####100
Quadroobol, {10,10,10,10,100 (1) 2}
Lin-Gigoogol, 10[0,0,0,1{1}1]100
Titanic Galaxiol, #{0:1}{2}((10))*100
Quadribbol, {10,10,10,10,100,2 (1) 2}
Quadrabbol, {10,10,10,10,100,3 (1) 2}
Quadreebol, {10,10,10,10,100,4 (1) 2}
Quadribol, {10,10,10,10,100,5 (1) 2}
Quadrobbol, {10,10,10,10,100,6 (1) 2}
Quadrabol, {10,10,10,10,100,7 (1) 2}
Pentoogahlah / petoogahlah / petoogogahlah, E100#^#100#####100
Quintoobol, {10,10,10,10,10,100 (1) 2}
Titanic Cosmol, #{0:1}{3}((10))*100
Hexoogahlah / ectoogahlah / ectoogogahlah, E100#^#100######100
Titanic Hyperiol, #{0:1}{4}((10))*100
Heptoogahlah / zettoogahlah / zettoogogahlah, E100#^#100#######100
Ogdoogahlah / yottoogahlah / yottoogogahlah, E100#^#100########100
Entoogahlah, E100#^#100#^#9
Dektoogahlah, E100#^#100#^#10
Lvapofrbi, 1^[(3)[1]]₀(76)
Gootrol, {10,100 (1) 3}
Gotrigahlah, E100#^#100#^#100
Dulinoogol, 10[0{1}2]100

\(f_{\omega^\omega 2}(10^{10^6})\) ~ \(f_{\omega^{\omega+1}}(10^{10^6})\)

Dulinel, s(3,2,2{2}3)
Dulinelplex, s(3,3,2{2}3)
Gitrol, {10,100,2 (1) 3}
Dulin-Googol, 10[1{1}2]100
Grangotrigahlah / grantrigahlah, E100#^#100#^#100#100
Dulintrienel, s(3,3,3{2}3)
Gatrol, {10,100,3 (1) 3}
Greagotrigahlah / greatrigahlah, E100#^#100#^#100#100#100
Geetrol, {10,100,4 (1) 3}
Gigangotrigahlah / gigantrigahlah, E100#^#100#^#100#100#100#100
Gietrol, {10,100,5 (1) 3}
Gorgegotrigahlah / gorgetrigahlah, E100#^#100#^#100#100#100#100#100
Gotrol, {10,100,6 (1) 3}
Gulgotrigahlah / gultrigahlah, E100#^#100#^#100##6
Gaitrol, {10,100,7 (1) 3}
Gaspgotrigahlah / gasptrigahlah, E100#^#100#^#100##7
Ginorgotrigahlah, E100#^#100#^#100##8
Bootrol, {10,10,100 (1) 3}
Gugoldgotrigahlah / gugoldtrigahlah, E100#^#100#^#100##100
Dulintetenel, s(3,3,3,3{2}3)
Throogotrigahlah / throotrigahlah, E100#^#100#^#100###100
Trootrol, {10,10,10,100 (1) 3}
Tetroogotrigahlah / terootrigahlah / teroogotrigahlah, E100#^#100#^#100####100
Quadrootrol, {10,10,10,10,100 (1) 3}
Pentoogotrigahlah / petootrigahlah / petoogotrigahlah, E100#^#100#^#100#####100
Hexoogotrigahlah / ectootrigahlah / ectoogotrigahlah, E100#^#100#^#100######100
Heptoogotrigahlah / zettootrigahlah / zettoogotrigahlah, E100#^#100#^#100#######100
Ogdoogotrigahlah / yottootrigahlah / yottoogotrigahlah, E100#^#100#^#100########100
Gooquadrol, {10,100 (1) 4}
Gotergahlah, E100#^#100#^#100#^#100
Trulinoogol, 10[0{1}3]100
Booquadrol, {10,10,100 (1) 4}
Trooquadrol, {10,10,10,100 (1) 4}
Quadrooquadrol, {10,10,10,10,100 (1) 4}
Quadreequadrol, {10,10,10,10,100,4 (1) 4}
Gooquintol, {10,100 (1) 5}
Goppegahlah, E100#^#100#^#100#^#100#^#100
Gohexgahlah / gohexahlah, E100#^#*#6
Gohepgahlah, E100#^#*#7
Go-ahtgahlah, E100#^#*#8
Go-enngahlah, E100#^#*#9
Emperal, {10,10 (1) 10}
Godekahlah, E100#^#*#10
Gossol, {10,10 (1) 100}
Godgoldgahlah / gohectgahlah / godgoldahlah, E100#^#*#100
Kilulinoogol, 10[0{1}0,1]100
Titaniprimol, #{1:1}((10))*100

\(f_{\omega^{\omega+1}}(10^{10^6})\) ~ \(f_{\omega^{\omega+2}}(10^{10^6})\)

Emperalplex, {10,10 (1) {10,10 (1) 10}}
Gossolplex, {10,10 (1) {10,10 (1) 100}}
Kilulin-Googol, 10[1{1}0,1]100
Kilulin-Linoogol, 10[0{1}1,1]100
Kilulin-Dulinoogol, 10[0{1}2,1]100
Gissol, {10,10 (1) 100,2}
Gotrigoldgahlah / gotrigoldahlah, E100#^#*##3
Dukilulinoogol, 10[0{1}0,2]100
Gissolplex, {10,10 (1) {10,10 (1) 100,2},2}
Dienlinel, s(3,2,2{2}3,3)
Dienlintrienel, s(3,3,3{2}3,3)
Gassol, {10,10 (1) 100,3}
Gotergoldgahlah / gotergoldahlah, E100#^#*##4
Gassolplex, {10,10 (1) {10,10 (1) 100,3},3}
Geesol, {10,10 (1) 100,4}
Goppegoldgahlah / goppegoldahlah, E100#^#*##5
Geesolplex, {10,10 (1) {10,10 (1) 100,4},4}
Gussol, {10,10 (1) 100,5}
Gohexgoldgahlah / gohexgoldahlah, E100#^#*##6
Gussolplex, {10,10 (1) {10,10 (1) 100,5},5}
Gohepgoldgahlah / gohepgoldahlah, E100#^#*##7
Go-ahtgoldgahlah / go-ahtgoldahlah, E100#^#*##8
Go-enngoldgahlah / go-enngoldahlah, E100#^#*##9
Godekagoldgahlah / godekagoldahlah, E100#^#*##10
Hyperal, {10,10 (1) 10,10}
Fish number 3, \(\approx f_{(\omega^{\omega+1}) 63+1}(63)\)
Godthroogahlah / godthroldahlah, E100#^#*##100
Mossol, {10,10 (1) 10,100}
Megulinoogol, 10[0{1}0,0,1]100

\(f_{\omega^{\omega+2}}(10^{10^6})\) ~ \(f_{\omega^{\omega 2}}(10^{10^6})\)

Hyperalplex, {10,10 (1) 10,{10,10 (1) 10,10}}
Mossolplex, {10,10 (1) 10,{10,10 (1) 10,100}}
Megulin-Kilulinoogol, 10[0{1}0,1,1]100
Missol, {10,10 (1) 10,100,2}
Dumegulinoogol, 10[0{1}0,0,2]100
Trienlinel, s(3,2,2{2}3,3,3)
Massol, {10,10 (1) 10,100,3}
Meesol, {10,10 (1) 10,100,4}
Mussol, {10,10 (1) 10,100,5}
Godtetroogahlah / godteroogahlah / godteroldahlah, E100#^#*###100
Bossol, {10,10 (1) 10,10,100}
Gigulinoogol, 10[0{1}0,0,0,1]100
Titanitrol, #{3:1}((10))*100
Bissol, {10,10 (1) 10,10,100,2}
Tetenlinel, s(3,2,2{2}3,3,3,3)
Bassol, {10,10 (1) 10,10,100,3}
Beesol, {10,10 (1) 10,10,100,4}
Bussol, {10,10 (1) 10,10,100,5}
Godpentoogahlah / godpetoogahlah / godpetoldahlah, E100#^#*####100
Trossol, {10,10 (1) 10,10,10,100}
Terulinoogol, 10[0{1}0,0,0,0,1]100
Titaniterol, #{4:1}((10))*100
Trissol, {10,10 (1) 10,10,10,100,2}
Pentenlinel, s(3,2,2{2}3,3,3,3,3)
Trassol, {10,10 (1) 10,10,10,100,3}
Treesol, {10,10 (1) 10,10,10,100,4}
Trussol, {10,10 (1) 10,10,10,100,5}
Godhexoogahlah / go-ectoogahlah / go-ectolgahlah, E100#^#*#####100
Quadrossol, {10,10 (1) 10,10,10,10,100}
Petulinoogol, 10[0{1}0,0,0,0,0,1]100
Godheptoogahlah / godzettoogahlah / godzettolgahlah, E100#^#*######100
Quintossol, {10,10 (1) 10,10,10,10,10,100}
Ectulinoogol, 10[0{1}0,0,0,0,0,0,1]100
Godogdoogahlah / godyottoogahlah / godyottolgahlah, E100#^#*#######100
Zettulinoogol, 10[0{1}0,0,0,0,0,0,0,1]100
Godgahgridgahthroogahteroogahpetoogah-ectoogahzetoogahyottoogahlah, E100#^#*#######100#^#*######100#^#*#####100#^#*####100#^#*###100#^#*##100#^#*#100#^#100
Godentoogahlah, E100#^#*########100
Yottulinoogol, 10[0{1}0,0,0,0,0,0,0,0,1]100
Goddektoogahlah, E100#^#*#########100
Xennulinoogol, 10[0{1}0,0,0,0,0,0,0,0,0,1]100
Diteral, {10,10 (1)(1) 2}
Wekulinoogol, 10[0{1}0,0,0,0,0,0,0,0,0,0,1]100
Dubol, {10,100 (1)(1) 2}
Deutero-godgahlah, E100#^#*#^#100
Behemicol, #{0:2}((10))*100

\(f_{\omega^{\omega 2}}(10^{10^6})\) ~ \(f_{\omega^{\omega 3}}(10^{10^6})\)

Linbel, s(3,2,2{2}1{2}2)
Diteralplex, {10,3,2 (1)(1) 2}
Lintrienbel, s(3,3,3{2}1{2}2)
Linblinel, s(3,2,2{2}2{2}2)
Linbdulinel, s(3,2,2{2}3{2}2)
Linbdienlinel, s(3,2,2{2}3,3{2}2)
Dutrol, {10,100 (1)(1) 3}
Dulinbel, s(3,2,2{2}1{2}3)
Duquadrol, {10,100 (1)(1) 4}
Admiral, {10,10 (1)(1) 10}
Dossol, {10,10 (1)(1) 100}
Deutero-godgoldgahlah / deutero-godgoldahlah, E100#^#*#^#*#100
Dossolplex, {10,10 (1)(1) {10,10 (1)(1) 100}}
Dienlinbel, s(3,2,2{2}1{2}3,3)
Deutero-godthroogahlah / deutero-godthrolgahlah, E100#^#*#^#*##100
Trienlinbel, s(3,2,2{2}1{2}3,3,3)
Dimensol, s(3,3{1,2}2)
Dutritri, {3,3,3 (1) 3,3,3 (1) 3,3,3}
Dutridecal, {10,10,10 (1) 10,10,10 (1) 10,10,10}
Deutero-godtetroogahlah / deutero-godteroogahlah / deutero-godterolgahlah, E100#^#*#^#*###100
Deutero-godpentoogahlah / deutero-godpetoogahlah / deutero-godpetolgahlah, E100#^#*#^#*####100
Deutero-godhexoogahlah / deutero-go-ectoogahlah / deutero-go-ectolgahlah, E100#^#*#^#*#####100
Deutero-godheptoogahlah / deutero-godzettoogahlah / deutero-gozettolgahlah, E100#^#*#^#*######100
Deutero-godogdoogahlah / deutero-godyottoogahlah / deutero-goyottolgahlah, E100#^#*#^#*#######100
Triubol, {10,100(1)(1)(1)2}
Trito-godgahlah, E100#^#*#^#*#^#100
Leviathol, #{0:3}((10))*100

\(f_{\omega^{\omega 3}}(10^{10^6})\) ~ \(f_{\omega^{\omega^2}}(10^{10^6})\)

Lintrel, s(3,2,2{2}1{2}1{2}2)
Tetrubol, {10,100 (1)(1)(1)(1) 2}
Teterto-godgahlah, E100#^#*#^#*#^#*#^#100
Lintetel, s(3,2,2{2}1{2}1{2}1{2}2)
Pepto-godgahlah, E100#^##5
Linpenel, s(3,2,2{2}1{2}1{2}1{2}1{2}2)
Exto-godgahlah, E100#^##6
Linhexel, s(3,2,2{2}1{2}1{2}1{2}1{2}1{2}2)
Epto-godgahlah, E100#^##7
Ogdo-godgahlah, E100#^##8
Ento-godgahlah, E100#^##9
Xappol, {10,10 (2) 2}
Dekato-godgahlah, E100#^##10
Isosto-godgahlah, E100#^##20
Planel, s(3,2,2{3}2)
Trianto-godgahlah, E100#^##30
Saranto-godgahlah, E100#^##40
Goxxol, {10,100 (2) 2}
Triabiogodgahlah, E100+_##100
Gridgahlah, E100#^##100
Hyper-grid-hyperon, 100{X^X²}100
Empiriol, #{0:0:1}((10))*100

Larger numbers