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

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, Forcal2[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, Forcal3[2]2(1)
 * Geebol, {10,100,4 (1) 2}
 * Gigangahlah, E100#^#100#100#100#100
 * Superis-Terribypercal, Forcal4[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]]|undefined 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{XX 2 }100
 * Empiriol, #{0:0:1}((10))*100

Larger numbers