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The pentacthulpeton regiment is a series of numbers from E100#^^^(#^5)100 to E100(#^^^#^6)90 defined using Extended Cascading-E Notation (i.e. beginning frompentacthulpeton and up to enenintastaculated pentacthulpeton).[1] The numbers were coined by Sbiis Saibian.

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Pentacthulteron regiment Pentacthulhexon regiment

List of numbers of the regiment

Name of number Extended Cascading-E Notation (definition) Fast-growing hierarchy using these fundamental sequences (approximation)
Pentacthulpeton E100#^^^(#^5)100 \(f_{\varphi(1,4,0)}(100)\)
Grand pentacthulpeton E100#^^^(#^5)100#2 \(f_{\varphi(1,4,0)}^2(100)\)
Grangol-carta-pentacthulpeton E100#^^^(#^5)100#100 \(f_{\varphi(1,4,0)+1}(100)\)
Godgahlah-carta-pentacthulpeton E100#^^^(#^5)100#^#100 \(f_{\varphi(1,4,0)+\omega^\omega}(100)\)
Tethrathoth-carta-pentacthulpeton E100#^^^(#^5)100#^^#100 \(f_{\varphi(1,4,0)+\varepsilon_0}(100)\)
Pentacthulhum-carta-pentacthulpeton E100#^^^(#^5)100#^^^#100 \(f_{\varphi(1,4,0)+\Gamma_0}(100)\)
Pentacthulcross-carta-pentacthulpeton E100#^^^(#^5)100#^^^##100 \(f_{\varphi(1,4,0)+\varphi(1,1,0)}(100)\)
Pentacthulcubor-carta-pentacthulpeton E100#^^^(#^5)100#^^^###100 \(f_{\varphi(1,4,0)+\varphi(1,2,0)}(100)\)
Pentacthulteron-carta-pentacthulpeton E100#^^^(#^5)100#^^^####100 \(f_{\varphi(1,4,0)+\varphi(1,3,0)}(100)\)
Pentacthulpeton-by-deuteron, pentacthulpeton-carta-pentacthulpeton E100#^^^(#^5)100#^^^(#^5)100 \(f_{\varphi(1,4,0)2}(100)\)
Pentacthulpeton-by-triton E100#^^^(#^5)*#4 \(f_{\varphi(1,4,0)3}(100)\)
pentacthulpeton-by-teterton E100#^^^(#^5)*#5 \(f_{\varphi(1,4,0)4}(100)\)
pentacthulpeton-by-pepton E100#^^^(#^5)*#6 \(f_{\varphi(1,4,0)5}(100)\)
pentacthulpeton-by-exton E100#^^^(#^5)*#7 \(f_{\varphi(1,4,0)6}(100)\)
pentacthulpeton-by-epton E100#^^^(#^5)*#8 \(f_{\varphi(1,4,0)7}(100)\)
pentacthulpeton-by-ogdon E100#^^^(#^5)*#9 \(f_{\varphi(1,4,0)8}(100)\)
pentacthulpeton-by-enton E100#^^^(#^5)*#10 \(f_{\varphi(1,4,0)9}(100)\)
pentacthulpeton-by-dekaton E100#^^^(#^5)*#11 \(f_{\varphi(1,4,0)10}(100)\)
pentacthulpeton-by-hyperion E100#^^^(#^5)*#100 \(f_{\varphi(1,4,0)\omega}(100)\)
pentacthulpeton-by-godgahlah E100#^^^(#^5)*#^#100 \(f_{\varphi(1,4,0)\omega^\omega}(100)\)
pentacthulpeton-by-gridgahlah E100#^^^(#^5)*#^##100 \(f_{\varphi(1,4,0)\omega^{\omega^2}}(100)\)
pentacthulpeton-by-kubikahlah E100#^^^(#^5)*#^###100 \(f_{\varphi(1,4,0)\omega^{\omega^3}}(100)\)
pentacthulpeton-by-quarticahlah E100#^^^(#^5)*#^(#^4)100 \(f_{\varphi(1,4,0)\omega^{\omega^4}}(100)\)
pentacthulpeton-by-quinticahlah E100#^^^(#^5)*#^(#^5)100 \(f_{\varphi(1,4,0)\omega^{\omega^5}}(100)\)
pentacthulpeton-by-tethrathoth E100#^^^(#^5)*#^^#100 \(f_{\varphi(1,4,0)\varepsilon_0}(100)\)
pentacthulpeton-by-tethracross E100#^^^(#^5)*#^^##100 \(f_{\varphi(1,4,0)\zeta_0}(100)\)
pentacthulpeton-by-tethracubor E100#^^^(#^5)*#^^###100 \(f_{\varphi(1,4,0)\eta_0}(100)\)
pentacthulpeton-by-tethrateron E100#^^^(#^5)*#^^####100 \(f_{\varphi(1,4,0)\varphi(4,0)}(100)\)
pentacthulpeton-by-tethrapeton E100#^^^(#^5)*#^^(#^5)100 \(f_{\varphi(1,4,0)\varphi(5,0)}(100)\)
Pentacthulpeton-by-pentacthulhum E100#^^^(#^5)*#^^^#100 \(f_{\varphi(1,4,0)\Gamma_0}(100)\)
pentacthulpeton-by-pentacthulcross E100#^^^(#^5)*#^^^##100 \(f_{\varphi(1,4,0)\varphi(1,1,0)}(100)\)
pentacthulpeton-by-pentacthulcubor E100#^^^(#^5)*#^^^###100 \(f_{\varphi(1,4,0)\varphi(1,2,0)}(100)\)
pentacthulpeton-by-pentacthulteron E100#^^^(#^5)*#^^^####100 \(f_{\varphi(1,4,0)\varphi(1,3,0)}(100)\)
deutero-pentacthulpeton, pentacthulpeton-by-pentacthulpeton E100#^^^(#^5)*#^^^(#^5)100 \(f_{\varphi(1,4,0)^2}(100)\)
trito-pentacthulpeton E100#^^^(#^5)*#^^^(#^5)*#^^^(#^5)100 \(f_{\varphi(1,4,0)^3}(100)\)
teterto-pentacthulpeton E100(#^^^#^5)^#4 \(f_{\varphi(1,4,0)^4}(100)\)
pepto-pentacthulpeton E100(#^^^#^5)^#5 \(f_{\varphi(1,4,0)^5}(100)\)
exto-pentacthulpeton E100(#^^^#^5)^#6 \(f_{\varphi(1,4,0)^6}(100)\)
epto-pentacthulpeton E100(#^^^#^5)^#7 \(f_{\varphi(1,4,0)^7}(100)\)
ogdo-pentacthulpeton E100(#^^^#^5)^#8 \(f_{\varphi(1,4,0)^8}(100)\)
ento-pentacthulpeton E100(#^^^#^5)^#9 \(f_{\varphi(1,4,0)^9}(100)\)
dekato-pentacthulpeton E100(#^^^#^5)^#10 \(f_{\varphi(1,4,0)^{10}}(100)\)
pentacthulpetonifact E100(#^^^#^5)^#100 \(f_{\varphi(1,4,0)^{\omega}}(100)\)
quadratapentacthulpeton E100(#^^^#^5)^##100 \(f_{\varphi(1,4,0)^{\omega^2}}(100)\)
kubikupentacthulpeton E100(#^^^#^5)^###100 \(f_{\varphi(1,4,0)^{\omega^3}}(100)\)
quarticupentacthulpeton E100(#^^^#^5)^####100 \(f_{\varphi(1,4,0)^{\omega^4}}(100)\)
quinticupentacthulpeton E100(#^^^#^5)^(#^5)100 \(f_{\varphi(1,4,0)^{\omega^5}}(100)\)
sexticupentacthulpeton E100(#^^^#^5)^(#^6)100 \(f_{\varphi(1,4,0)^{\omega^6}}(100)\)
septicupentacthulpeton E100(#^^^#^5)^(#^7)100 \(f_{\varphi(1,4,0)^{\omega^7}}(100)\)
octicupentacthulpeton E100(#^^^#^5)^(#^8)100 \(f_{\varphi(1,4,0)^{\omega^8}}(100)\)
nonicupentacthulpeton E100(#^^^#^5)^(#^9)100 \(f_{\varphi(1,4,0)^{\omega^9}}(100)\)
decicupentacthulpeton E100(#^^^#^5)^(#^10)100 \(f_{\varphi(1,4,0)^{\omega^{10}}}(100)\)
pentacthulpeton-ipso-godgahlah E100(#^^^#^5)^#^#100 \(f_{\varphi(1,4,0)^{\omega^\omega}}(100)\)
pentacthulpeton-ipso-godgathor E100(#^^^#^5)^#^#^#100 \(f_{\varphi(1,4,0)^{\omega^{\omega^\omega}}}(100)\)
pentacthulpeton-ipso-godtothol E100(#^^^#^5)^#^#^#^#100 \(f_{\varphi(1,4,0)^{\omega^{\omega^{\omega^\omega}}}}(100)\)
pentacthulpeton-ipso-tethrathoth E100(#^^^#^5)^#^^#100 \(f_{\varphi(1,4,0)^{\varepsilon_0}}(100)\)
pentacthulpeton-ipso-tethracross E100(#^^^#^5)^#^^##100 \(f_{\varphi(1,4,0)^{\zeta_0}}(100)\)
pentacthulpeton-ipso-tethracubor E100(#^^^#^5)^#^^###100 \(f_{\varphi(1,4,0)^{\eta_0}}(100)\)
pentacthulpeton-ipso-tethrateron E100(#^^^#^5)^#^^####100 \(f_{\varphi(1,4,0)^{\varphi(4,0)}}(100)\)
pentacthulpeton-ipso-tethratope E100(#^^^#^5)^#^^#^#100 \(f_{\varphi(1,4,0)^{\varphi(\omega,0)}}(100)\)
pentacthulpeton-ipso-tethrarxitri E100(#^^^#^5)^#^^#^^#100 \(f_{\varphi(1,4,0)^{\varphi(\varepsilon_0,0)}}(100)\)
pentacthulpeton-ipso-pentacthulhum E100(#^^^#^5)^#^^^#100 \(f_{\varphi(1,4,0)^{\Gamma_0}}(100)\)
pentacthulpeton-ipso-pentacthulcross E100(#^^^#^5)^#^^^##100 \(f_{\varphi(1,4,0)^{\varphi(1,1,0)}}(100)\)
pentacthulpeton-ipso-pentacthulcubor E100(#^^^#^5)^#^^^###100 \(f_{\varphi(1,4,0)^{\varphi(1,2,0)}}(100)\)
pentacthulpeton-ipso-pentacthulteron E100(#^^^#^5)^#^^^####100 \(f_{\varphi(1,4,0)^{\varphi(1,3,0)}}(100)\)
dutetrated pentacthulpeton, pentacthulpeton-ipso-pentacthulpeton E100(#^^^#^5)^(#^^^#^5)100 \(f_{\varphi(1,4,0)^{\varphi(1,4,0)}}(100)\)
tritetrated pentacthulpeton E100(#^^^#^5)^(#^^^#^5)^(#^^^#^5)100 \(f_{\varphi(1,4,0)^{\varphi(1,4,0)^{\varphi(1,4,0)}}}(100)\)
quadratetrated pentacthulpeton E100(#^^^#^5)^^#4 \(f_{\varphi(1,4,0)\uparrow\uparrow4}(100)\)
quinquatetrated pentacthulpeton E100(#^^^#^5)^^#5 \(f_{\varphi(1,4,0)\uparrow\uparrow5}(100)\)
sexatetrated pentacthulpeton E100(#^^^#^5)^^#6 \(f_{\varphi(1,4,0)\uparrow\uparrow6}(100)\)
septatetrated pentacthulpeton E100(#^^^#^5)^^#7 \(f_{\varphi(1,4,0)\uparrow\uparrow7}(100)\)
octatetrated pentacthulpeton E100(#^^^#^5)^^#8 \(f_{\varphi(1,4,0)\uparrow\uparrow8}(100)\)
nonatetrated pentacthulpeton E100(#^^^#^5)^^#9 \(f_{\varphi(1,4,0)\uparrow\uparrow9}(100)\)
decatetrated pentacthulpeton E100(#^^^#^5)^^#10 \(f_{\varphi(1,4,0)\uparrow\uparrow10}(100)\)
terrible pentacthulpeton E100(#^^^#^5)^^#100 \(f_{\varepsilon_{\varphi(1,4,0)+1}}(100)\)
terrisquared pentacthulpeton E100(#^^^#^5)^^##100 \(f_{\zeta_{\varphi(1,4,0)+1}}(100)\)
terricubed pentacthulpeton E100(#^^^#^5)^^###100 \(f_{\eta_{\varphi(1,4,0)+1}}(100)\)
territesserated pentacthulpeton E100(#^^^#^5)^^####100 \(f_{\varphi(4,\varphi(1,4,0)+1)}(100)\)
terripenterated pentacthulpeton E100(#^^^#^5)^^(#^5)100 \(f_{\varphi(5,\varphi(1,4,0)+1)}(100)\)
terrihexerated pentacthulpeton E100(#^^^#^5)^^(#^6)100 \(f_{\varphi(6,\varphi(1,4,0)+1)}(100)\)
terrihepterated pentacthulpeton E100(#^^^#^5)^^(#^7)100 \(f_{\varphi(7,\varphi(1,4,0)+1)}(100)\)
terriocterated pentacthulpeton E100(#^^^#^5)^^(#^8)100 \(f_{\varphi(8,\varphi(1,4,0)+1)}(100)\)
terriennerated pentacthulpeton E100(#^^^#^5)^^(#^9)100 \(f_{\varphi(9,\varphi(1,4,0)+1)}(100)\)
terridekerated pentacthulpeton E100(#^^^#^5)^^(#^10)100 \(f_{\varphi(10,\varphi(1,4,0)+1)}(100)\)
territoped pentacthulpeton E100(#^^^#^5)^^#^#100 \(f_{\varphi(\omega,\varphi(1,4,0)+1)}(100)\)
tethrathothitetrated pentacthulpeton E100(#^^^#^5)^^#^^#100 \(f_{\varphi(\varepsilon_0,\varphi(1,4,0)+1)}(100)\)
pentacthultetrated pentacthulpeton E100(#^^^#^5)^^#^^^#100 \(f_{\varphi(\Gamma_0,\varphi(1,4,0)+1)}(100)\)
pentacthulcruxitetrated pentacthulpeton E100(#^^^#^5)^^#^^^##100 \(f_{\varphi(\varphi(1,1,0),\varphi(1,4,0)+1)}(100)\)
pentacthulcubotetrated pentacthulpeton E100(#^^^#^5)^^#^^^###100 \(f_{\varphi(\varphi(1,2,0),\varphi(1,4,0)+1)}(100)\)
pentacthulteronitetrated pentacthulpeton E100(#^^^#^5)^^#^^^####100 \(f_{\varphi(\varphi(1,3,0),\varphi(1,4,0)+1)}(100)\)
dupentated pentacthulpeton E100(#^^^#^5)^^(#^^^#^5)100 \(f_{\varphi(\varphi(1,4,0),1)}(100)\)
tripentated pentacthulpeton E100(#^^^#^5)^^(#^^^#^5)^^(#^^^#^5)100 \(f_{\varphi(\varphi(\varphi(1,4,0),1),0)}(100)\)
quadrapentated pentacthulpeton E100(#^^^#^5)^^^#4 \(f_{\Gamma_{\varphi(1,4,0)+1}[4]}(100)\)
quinquapentated pentacthulpeton E100(#^^^#^5)^^^#5 \(f_{\Gamma_{\varphi(1,4,0)+1}[5]}(100)\)
sexapentated pentacthulpeton E100(#^^^#^5)^^^#6 \(f_{\Gamma_{\varphi(1,4,0)+1}[6]}(100)\)
septapentated pentacthulpeton E100(#^^^#^5)^^^#7 \(f_{\Gamma_{\varphi(1,4,0)+1}[7]}(100)\)
octapentated pentacthulpeton E100(#^^^#^5)^^^#8 \(f_{\Gamma_{\varphi(1,4,0)+1}[8]}(100)\)
nonapentated pentacthulpeton E100(#^^^#^5)^^^#9 \(f_{\Gamma_{\varphi(1,4,0)+1}[9]}(100)\)
decapentated pentacthulpeton E100(#^^^#^5)^^^#10 \(f_{\Gamma_{\varphi(1,4,0)+1}[10]}(100)\)
horrible pentacthulpeton E100(#^^^#^5)^^^#100 \(f_{\Gamma_{\varphi(1,4,0)+1}}(100)\)
horriterated pentacthulpeton E100(#^^^#^5)^^^#>#100 \(f_{\Gamma_{\varphi(1,4,0)+\omega}}(100)\)
godgahlah-turreted-horripentacthulpeton E100(#^^^#^5)^^^#>#^#100 \(f_{\Gamma_{\varphi(1,4,0)+\omega^\omega}}(100)\)
tethrathoth-turreted-horripentacthulpeton E100(#^^^#^5)^^^#>#^^#100 \(f_{\Gamma_{\varphi(1,4,0)+\varepsilon_0}}(100)\)
pentacthulhum-turreted-horripentacthulpeton E100(#^^^#^5)^^^#>#^^^#100 \(f_{\Gamma_{\varphi(1,4,0)+\Gamma_0}}(100)\)
pentacthulcross-turreted-horripentacthulpeton E100(#^^^#^5)^^^#>#^^^##100 \(f_{\Gamma_{\varphi(1,4,0)+\varphi(1,1,0)}}(100)\)
pentacthulcubor-turreted-horripentacthulpeton E100(#^^^#^5)^^^#>#^^^###100 \(f_{\Gamma_{\varphi(1,4,0)+\varphi(1,2,0)}}(100)\)
pentacthulteron-turreted-horripentacthulpeton E100(#^^^#^5)^^^#>#^^^####100 \(f_{\Gamma_{\varphi(1,4,0)+\varphi(1,3,0)}}(100)\)
pentacthulpeton-turreted-horripentacthulpeton E100(#^^^#^5)^^^#>(#^^^#^5)100 \(f_{\Gamma_{\varphi(1,4,0)2}}(100)\)
dustaculated horripentacthulpeton E100(#^^^#^5)^^^#>(#^^^#^5)^^^#100 \(f_{\Gamma_{\Gamma_{\varphi(1,4,0)+1}}}(100)\)
horrisquared pentacthulpeton E100(#^^^#^5)^^^##100 \(f_{\varphi(1,1,\varphi(1,4,0)+1)}(100)\)
horritersquared pentacthulpeton E100(#^^^#^5)^^^##>#100 \(f_{\varphi(1,1,\varphi(1,4,0)+\omega)}(100)\)
godgahlah-turreted-horrisquared pentacthulpeton E100(#^^^#^5)^^^##>#^#100 \(f_{\varphi(1,1,\varphi(1,4,0)+\omega^\omega)}(100)\)
tethrathoth-turreted-horrisquared pentacthulpeton E100(#^^^#^5)^^^##>#^^#100 \(f_{\varphi(1,1,\varphi(1,4,0)+\varepsilon_0)}(100)\)
pentacthulhum-turreted-horrisquared pentacthulpeton E100(#^^^#^5)^^^##>#^^^#100 \(f_{\varphi(1,1,\varphi(1,4,0)+\Gamma_0)}(100)\)
pentacthulcross-turreted-horrisquared pentacthulpeton E100(#^^^#^5)^^^##>#^^^##100 \(f_{\varphi(1,1,\varphi(1,4,0)+\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-horrisquared pentacthulpeton E100(#^^^#^5)^^^##>#^^^###100 \(f_{\varphi(1,1,\varphi(1,4,0)+\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-horrisquared pentacthulpeton E100(#^^^#^5)^^^##>#^^^####100 \(f_{\varphi(1,1,\varphi(1,4,0)+\varphi(1,3,0))}(100)\)
pentacthulpeton-turreted-horrisquared pentacthulpeton E100(#^^^#^5)^^^##>(#^^^#^5)100 \(f_{\varphi(1,1,\varphi(1,4,0)2)}(100)\)
dustaculated horrisquared pentacthulpeton E100(#^^^#^5)^^^##>(#^^^#^5)^^^##100 \(f_{\varphi(1,1,\varphi(1,1,\varphi(1,4,0)+1))}(100)\)
horricubed pentacthulpeton E100(#^^^#^5)^^^###100 \(f_{\varphi(1,2,\varphi(1,4,0)+1)}(100)\)
horritercubed pentacthulpeton E100(#^^^#^5)^^^###>#100 \(f_{\varphi(1,2,\varphi(1,4,0)+\omega)}(100)\)
godgahlah-turreted-horricubed pentacthulpeton E100(#^^^#^5)^^^###>#^#100 \(f_{\varphi(1,2,\varphi(1,4,0)+\omega^\omega)}(100)\)
tethrathoth-turreted-horricubed pentacthulpeton E100(#^^^#^5)^^^###>#^^#100 \(f_{\varphi(1,2,\varphi(1,4,0)+\varepsilon_0)}(100)\)
pentacthulhum-turreted-horricubed pentacthulpeton E100(#^^^#^5)^^^###>#^^^#100 \(f_{\varphi(1,2,\varphi(1,4,0)+\Gamma_0)}(100)\)
pentacthulcross-turreted-horricubed pentacthulpeton E100(#^^^#^5)^^^###>#^^^##100 \(f_{\varphi(1,2,\varphi(1,4,0)+\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-horricubed pentacthulpeton E100(#^^^#^5)^^^###>#^^^###100 \(f_{\varphi(1,2,\varphi(1,4,0)+\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-horricubed pentacthulpeton E100(#^^^#^5)^^^####>#^^^####100 \(f_{\varphi(1,2,\varphi(1,4,0)+\varphi(1,3,0))}(100)\)
pentacthulpeton-turreted-horricubed pentacthulpeton E100(#^^^#^5)^^^###>(#^^^#^5)100 \(f_{\varphi(1,2,\varphi(1,4,0)2)}(100)\)
dustaculated horricubed pentacthulpeton E100(#^^^#^5)^^^###>(#^^^#^5)^^^###100 \(f_{\varphi(1,2,\varphi(1,2,\varphi(1,4,0)+1))}(100)\)
horritesserated pentacthulpeton E100(#^^^#^5)^^^####100 \(f_{\varphi(1,3,\varphi(1,4,0)+1)}(100)\)
horritertesserated pentacthulpeton E100(#^^^#^5)^^^####>#100 \(f_{\varphi(1,3,\varphi(1,4,0)+\omega)}(100)\)
godgahlah-turreted-horritesserated pentacthulpeton E100(#^^^#^5)^^^####>#^#100 \(f_{\varphi(1,3,\varphi(1,4,0)+\omega^\omega)}(100)\)
tethrathoth-turreted-horritesserated pentacthulpeton E100(#^^^#^5)^^^####>#^^#100 \(f_{\varphi(1,3,\varphi(1,4,0)+\varepsilon_0)}(100)\)
pentacthulhum-turreted-horritesserated pentacthulpeton E100(#^^^#^5)^^^####>#^^^#100 \(f_{\varphi(1,3,\varphi(1,4,0)+\Gamma_0)}(100)\)
pentacthulcross-turreted-horritesserated pentacthulpeton E100(#^^^#^5)^^^####>#^^^##100 \(f_{\varphi(1,3,\varphi(1,4,0)+\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-horritesserated pentacthulpeton E100(#^^^#^5)^^^####>#^^^###100 \(f_{\varphi(1,3,\varphi(1,4,0)+\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-horritesserated pentacthulpeton E100(#^^^#^5)^^^#####>#^^^####100 \(f_{\varphi(1,3,\varphi(1,4,0)+\varphi(1,3,0))}(100)\)
pentacthulpeton-turreted-horritesserated pentacthulpeton E100(#^^^#^5)^^^####>(#^^^#^5)100 \(f_{\varphi(1,3,\varphi(1,4,0)2)}(100)\)
dustaculated horritesserated pentacthulpeton E100(#^^^#^5)^^^####>(#^^^#^5)^^^####100 \(f_{\varphi(1,3,\varphi(1,3,\varphi(1,4,0)+1))}(100)\)
tristaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)3 \(f_{\varphi(1,3,\varphi(1,3,\varphi(1,3,\varphi(1,4,0)+1)))}(100)\)
tetrastaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)4 \(f_{\varphi(1,4,1)[4]}(100)\)
pentastaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)5 \(f_{\varphi(1,4,1)[5]}(100)\)
hexastaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)6 \(f_{\varphi(1,4,1)[6]}(100)\)
heptastaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)7 \(f_{\varphi(1,4,1)[7]}(100)\)
ogdastaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)8 \(f_{\varphi(1,4,1)[8]}(100)\)
ennastaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)9 \(f_{\varphi(1,4,1)[9]}(100)\)
dekastaculated horritesserated pentacthulpeton E100((#^^^#^5)^^^#^5)10 \(f_{\varphi(1,4,1)[10]}(100)\)
pentacthuldupeton E100((#^^^#^5)^^^#^5)100 \(f_{\varphi(1,4,1)}(100)\)
pentacthultripeton E100(((#^^^#^5)^^^#^5)^^^#^5)100 \(f_{\varphi(1,4,2)}(100)\)
pentacthultetrapeton E100#^^^(#^5)>#4 \(f_{\varphi(1,4,3)}(100)\)
pentacthulpentapeton E100#^^^(#^5)>#5 \(f_{\varphi(1,4,4)}(100)\)
pentacthulhexapeton E100#^^^(#^5)>#6 \(f_{\varphi(1,4,5)}(100)\)
pentacthulheptapeton E100#^^^(#^5)>#7 \(f_{\varphi(1,4,6)}(100)\)
pentacthuloctapeton E100#^^^(#^5)>#8 \(f_{\varphi(1,4,7)}(100)\)
pentacthulennapeton E100#^^^(#^5)>#9 \(f_{\varphi(1,4,8)}(100)\)
pentacthuldekapeton E100#^^^(#^5)>#10 \(f_{\varphi(1,4,9)}(100)\)
pentacthulendekapeton E100#^^^(#^5)>#11 \(f_{\varphi(1,4,10)}(100)\)
pentacthuldodekapeton E100#^^^(#^5)>#12 \(f_{\varphi(1,4,11)}(100)\)
pentacthul-icosapeton E100#^^^(#^5)>#20 \(f_{\varphi(1,4,19)}(100)\)
pentacthuliterpeton E100#^^^(#^5)>#100 \(f_{\varphi(1,4,\omega)}(100)\)
godgahlah-turreted-pentacthulpeton E100#^^^(#^5)>#^#100 \(f_{\varphi(1,4,\omega^\omega)}(100)\)
tethrathoth-turreted-pentacthulpeton E100#^^^(#^5)>#^^#100 \(f_{\varphi(1,4,\varepsilon_0)}(100)\)
pentacthulhum-turreted-pentacthulpeton E100#^^^(#^5)>#^^^#100 \(f_{\varphi(1,4,\Gamma_0)}(100)\)
pentacthulcross-turreted-pentacthulpeton E100#^^^(#^5)>#^^^##100 \(f_{\varphi(1,4,\varphi(1,1,0))}(100)\)
pentacthulcubor-turreted-pentacthulpeton E100#^^^(#^5)>#^^^###100 \(f_{\varphi(1,4,\varphi(1,2,0))}(100)\)
pentacthulteron-turreted-pentacthulpeton E100#^^^(#^5)>#^^^####100 \(f_{\varphi(1,4,\varphi(1,3,0))}(100)\)
dustaculated pentacthulpeton, pentacthulpeton-turreted-pentacthulpeton E100#^^^(#^5)>#^^^(#^5)100 \(f_{\varphi(1,4,\varphi(1,4,0))}(100)\)
tristaculated pentacthulpeton E100#^^^(#^5)>#^^^(#^5)>#^^^(#^5)100 \(f_{\varphi(1,4,\varphi(1,4,\varphi(1,4,0)))}(100)\)
tetrastaculated pentacthulpeton E100(#^^^#^6)4 \(f_{\varphi(1,5,0)[4]}(100)\)
pentastaculated pentacthulpeton E100(#^^^#^6)5 \(f_{\varphi(1,5,0)[5]}(100)\)
hexastaculated pentacthulpeton E100(#^^^#^6)6 \(f_{\varphi(1,5,0)[6]}(100)\)
heptastaculated pentacthulpeton E100(#^^^#^6)7 \(f_{\varphi(1,5,0)[7]}(100)\)
ogdastaculated pentacthulpeton E100(#^^^#^6)8 \(f_{\varphi(1,5,0)[8]}(100)\)
ennastaculated pentacthulpeton E100(#^^^#^6)9 \(f_{\varphi(1,5,0)[9]}(100)\)
dekastaculated pentacthulpeton E100(#^^^#^6)10 \(f_{\varphi(1,5,0)[10]}(100)\)
icosastaculated pentacthulpeton E100(#^^^#^6)20 \(f_{\varphi(1,5,0)[20]}(100)\)
triantastaculated pentacthulpeton E100(#^^^#^6)30 \(f_{\varphi(1,5,0)[30]}(100)\)
sarantastaculated pentacthulpeton E100(#^^^#^6)40 \(f_{\varphi(1,5,0)[40]}(100)\)
penintastaculated pentacthulpeton E100(#^^^#^6)50 \(f_{\varphi(1,5,0)[50]}(100)\)
exintastaculated pentacthulpeton E100(#^^^#^6)60 \(f_{\varphi(1,5,0)[60]}(100)\)
ebdomintastaculated pentacthulpeton E100(#^^^#^6)70 \(f_{\varphi(1,5,0)[70]}(100)\)
ogdontastaculated pentacthulpeton E100(#^^^#^6)80 \(f_{\varphi(1,5,0)[80]}(100)\)
enenintastaculated pentacthulpeton E100(#^^^#^6)90 \(f_{\varphi(1,5,0)[90]}(100)\)

Sources

Saibian's regiments

Hyper-E regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E regiments: Tethrathoth regiment · Monster-Giant regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethrennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentacthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptacthulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment
Beyond...: Blasphemorgulus regiment

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