This is where my googolisms go. They'll be in separate categories.
tethriterator = E100#^^#>#100
grand tethriterator = E100#^^#>#100#2
grand grand tethriterator = E100#^^#>#100#3
three-ex-grand tethriterator = E100#^^#>#100#4
four-ex-grand tethriterator = E100#^^#>#100#5
hundred-ex-grand tethriterator = E100#^^#>#100#101
thousand-ex-grand tethriterator = E100#^^#>#100#1001
googol-ex-grand tethriterator = E100#^^#>#100#(10^100+1)
grangol-ex-grand tethriterator = E100#^^#>#100#(E100#100+1)
greagol-ex-grand tethriterator = E100#^^#>#100#(E100#100#100+1)
godgahlah-ex-grand tethriterator = E100#^^#>#100#(E100#^#100+1)
tethrathoth-ex-grand tethriterator = E100#^^#>#100#(E100#^^#100)
tethriterator-ex-grand tethriterator = E100#^^#>#100#(E100#^^#>#100+1)Â
grantethriterator = E100#^^#>#100#100
grand grantethriterator = E100#^^#>#100#100#2
grand grand grantethriterator = E100#^^#>#100#100#3
greatethriterator = E100#^^#>#100#100#100
grand greatethriterator = E100#^^#>#100#100#100#2
gigantethriterator = E100#^^#>#100#100#100#100
grand gigantethriterator = E100#^^#>#100#100#100#100#2
gugoltethriterator = E100#^^#>#100##100
grand gugoltethriterator = E100#^^#>#100##100#2
graatagoltethriterator = E100#^^#>#100##100#100
gugolthratethriterator = E100#^^#>#100##100##100
grand gugolthratethriterator = E100#^^#>#100##100##100#2
gugoltestethriterator = E100#^^#>#100##100##100##100
throogotethriterator = E100#^^#>#100###100
grand throogotethriterator = E100#^^#>#100###100#2
tetroogotethriterator = E100#^^#>#100####100
grand tetroogotethriterator = E100#^^#>#100####100#2
godgahtethriterator = E100#^^#>#100#^#100
grand godgahtethriterator = E100#^^#>#100#^#100#2
grangahtethriterator = E100#^^#>#100#^#100#100
greagahtethriterator = E100#^^#>#100#^#100#100#100
gugolgodgahtethriterator = E100#^^#>#100#^#100##100
throogogodgahtethriterator = E100#^^#>#100#^#100###100
gotrigahtethriterator = E100#^^#>#100#^#100#^#100
gotergahtethriterator = E100#^^#>#100#^#100#^#100#^#100
godgoldgahtethriterator = E100#^^#>#100#^#*#100
grand godgoldgahtethriterator = E100#^^#>#100#^#*#100#2
godthroogahtethriterator = E100#^^#>#100#^#*##100
godtetroogahtethriterator = E100#^^#>#100#^#*###100
deugodgahtethriterator = E100#^^#>#100#^#*#^#100
tritogodgahtethriterator = E100#^^#>#100#^#*#^#*#^#100
gridgahtethriterator = E100#^^#>#100#^##100
grand gridgahtethriterator = E100#^^#>#100#^##100#2
godgathotethriterator = E100#^^#>#100#^#^#100
godgathordeutethriterator = E100#^^#>#100#^(#^#*#^#)100
gridgathotethriterator = E100#^^#>#100#^#^##100
godtothotethriterator = E100#^^#>#100#^#^#^#100
tethrathotethriterator = E100#^^#>#100#^^#100
Monster-Giant-tethriterator = E100#^^#>#100(#^^#)^(#^^#)^#100
terribletethrathotethriterator = E100#^^#>#100(#^^#)^^#100 (yes the name sucks)
tethriterator-by-deuteron = E100#^^#>#100#^^#>#100
tethriterator-by-triton = E100#^^#>#100#^^#>#100#^^#>#100
tethriterator-by-teterton = E100#^^#>#100#^^#>#100#^^#>#100#^^#>#100
tethriterator-by-hyperion = E100(#^^#>#)*#100
tethriterator-by-deutero-hyperion = E100(#^^#>#)*##100
tethriterator-by-trito-hyperion = E100(#^^#>#)*###100
tethriterator-by-godgahlah = E100(#^^#>#)*#^#100
tethriterator-by-tethrathoth = E100(#^^#>#)*#^^#100
deutero-tethriterator = E100(#^^#>#)*(#^^#>#)100
trito-tethriterator = E100(#^^#>#)*(#^^#>#)*(#^^#>#)100
teterto-tethriterator = E100(#^^#>#)*(#^^#>#)*(#^^#>#)*(#^^#>#)100
tethriterfact = E100(#^^#>#)^#100
tethriterfact-by-hyperion = E100(#^^#>#)^#*#100
tethriterfact-by-godgahlah = E100(#^^#>#)^#*#^#100
tethriterfact-by-tethrathoth = E100(#^^#>#)^#*#^^#100
tethriterfact-by-tethriterator = E100(#^^#>#)^#*(#^^#>#)100
deutero-tethriterfact = E100(#^^#>#)^#*(#^^#>#)^#100
trito-tethriterfact = E100(#^^#>#)^#*(#^^#>#)^#*(#^^#>#)^#100
tethritergridifact = E100(#^^#>#)^##100
deutero-tethritergridifact = E100(#^^#>#)^##*(#^^#>#)^##100
tethritercubifact = E100(#^^#>#)^###100
tethriterquartifact = E100(#^^#>#)^####100
tethriter-godgahlah = E100(#^^#>#)^#^#100
tethriter-gridgahlah = E100(#^^#>#)^#^##100
tethriter-kubikahlah = E100(#^^#>#)^#^###100
tethriter-godgathor = E100(#^^#>#)^#^#^#100
tethriter-godtothol = E100(#^^#>#)^#^#^#^#100
tethriter-tethrathoth = E100(#^^#>#)^(#^^#)100
tethriter-tethrathoth = E100(#^^#>#)^(#^^#)100
tethriter-Monster-Giant = E100(#^^#>#)^((#^^#)^(#^^#)^#)100
tethriter-dubletetrate = E100(#^^#>#)^(#^^#>#)100
tethriter-trebletetrate = E100(#^^#>#)^(#^^#>#)^(#^^#>#)100
terrible tethriterator = E100(#^^#>#)^^#100
terrible terrible tethriterator = E100((#^^#>#)^^#)^^#100
terrible terrible terrible tethriterator = E100((#^^#>#)^^#)^^#)^^#100
tethriditerator = E100#^^#>(#+#)100
tethritriterator = E100#^^#>(#+#+#)100
tethrigriditerator = E100#^^#>##100
tethridigriditerator = E100#^^#>(##+#)100
tethritrigriditerator = E100#^^#>(##+#+#)100
deutethrigriditerator = E100#^^#>(##+##)100
tritethrigriditerator = E100#^^#>(##+##+##)100
tethricubiculator = E100#^^#>###100
tethridicubiculator = E100#^^#>(###+#)100
tethritricubiculator = E100#^^#>(###+#+#)100
tethrigridcubiculator = E100#^^#>(###+##)100
deutethrigridcubiculator = E100#^^#>(###+###)100
tethriquarticulator = E100#^^#>####100
tethricubiquarticulator = E100#^^#>(####+###)100
tethriquinticulator = E100#^^#>#####100
tethriquarquintiticulator = E100#^^#>(#####+####)100
tethrispatialator = E100#^^#>#^#100
tethridispatialator = E100#^^#>(#^#+#)100
tethritrispatialator = E100#^^#>(#^#+#+#)100
tethrigridspatialator = E100#^^#>(#^#+##)100
tethricubispatialator = E100#^^#>(#^#+###)100
tethridublespatialator = E100#^^#>(#^#+#^#)100
tethritreblespatialator = E100#^^#>(#^#+#^#+#^#)100
tethriprospatialator = E100#^^#>(#^#*#)100
tethrideuspatialator = E100#^^#>(#^#*##)100
tethrigodgahspatialator = E100#^^#>(#^#*#^#)100
tethrigridgahlator = E100#^^#>#^##100
tethrigodgatholator = E100#^^#>#^#^#100
tethrigridgatholator = E100#^^#>#^#^##100
dustaculated-tethrathoth = E100#^^#>#^^#100
tristaculated-tethrathoth = E100#^^#>#^^#>#^^#100
terstaculated-tethrathoth = E100#^^#>#^^#>#^^#>#^^#100
pepstaculated-tethrathoth = E100#^^#>#^^#>#^^#>#^^#>#^^#100
Behemoth-Giant = E100(#^^#>2)^(#^^#>2)^#100
This googolism is used in many of Saibian's -carta- googolisms, but is never defined itself. Same for Trihemoth-Giant.
Trihemoth-Giant = E100(#^^#>3)^(#^^#>3)^#100
Terhemoth-Giant = E100(#^^#>4)^(#^^#>4)^#100
Penhemoth-Giant = E100(#^^#>5)^(#^^#>5)^#100
Iterhemoth-Giant = E100(#^^#>#)^(#^^#>#)^#100
Diterhemoth-Giant = E100(#^^#>(#+#))^(#^^#>(#+#))^#100
Triterhemoth-Giant = E100(#^^#>(#+#+#))^(#^^#>(#+#+#))^#100
Griditerhemoth-Giant = E100(#^^#>##)^(#^^#>##)^#100
Cubicuhemoth-Giant = E100(#^^#>###)^(#^^#>###)^#100
Godhemoth-Giant = E100(#^^#>#^#)^(#^^#>#^#)^#100
Tethrohemoth-Giant = E100(#^^#>#^^#)^(#^^#>#^^#)^#100
Monsterhemoth-Giant = E100(#^^#>@)^(#^^#>@)^#100 where @ = (#^^#)^(#^^#)^#
= (#^^#>(#^^#)^(#^^#)^#)^(#^^#>(#^^#)^(#^^#)^#)^#
Behemohemoth-Giant = E100(#^^#>@)^(#^^#>@)^#100 where @ = (#^^#>2)^(#^^#>2)^#
= (#^^#>(#^^#>2)^(#^^#>2)^#)^(#^^#>(#^^#>2)^(#^^#>2)^#)^#
Trihemohemoth-Giant = E100(#^^#>@)^(#^^#>@)^#100 where @ = (#^^#>3)^(#^^#>3)^#
= (#^^#>(#^^#>3)^(#^^#>3)^#)^(#^^#>(#^^#>3)^(#^^#>3)^#)^#
Iterhemohemoth-Giant = E100(#^^#>@)^(#^^#>@)^#100 where @ = (#^^#>#)^(#^^#>#)^#
= (#^^#>(#^^#>#)^(#^^#>#)^#)^(#^^#>(#^^#>#)^(#^^#>#)^#)^#
Behemohemohemoth-Giant = E100(#^^#>@)^(#^^#>@)^#100 where @ = E100(#^^#>&)^(#^^#>&)^#100 where & = (#^^#>2)^(#^^#>2)^#
= (#^^#>(#^^#>(#^^#>2)^(#^^#>2)^#)^(#^^#>(#^^#>2)^(#^^#>2)^#)^#)^(#^^#>(#^^#>(#^^#>2)^(#^^#>2)^#)^(#^^#>(#^^#>2)^(#^^#>2)^#)^#)^# which is a GIANT mess of expressions that makes NO sense. It is larger than tristaculated-tethrathoth.
I'll make my own ExE-styled regiments for BEAF.
googol = {10,100}
googolplex = {10,{10,100}}
googolduplex = {10,{10,{10,100}}}
googoltriplex = {10,{10,{10,{10,100}}}}
giggol = {10,100,2}
giggolplex = {10,{10,100,2},2}
giggolduplex = {10,{10,{10,100,2},2},2}
gaggol = {10,100,3}
gaggolplex = {10,{10,100,3},3}
geegol = {10,100,4}
geegolplex = {10,{10,100,4},4}
gigol = {10,100,5}
gigolplex = {10,{10,100,5},5}
goggol = {10,100,6}
goggolplex = {10,{10,100,6},6}
gagol = {10,100,7}
gagolplex = {10,{10,100,7},7}
gougol = {10,100,8} ("gow-gol") (borrowed from XRQ)
gougolplex = {10,{10,100,8},8}
guegol = {10,100,9} ("goo-ay-gol")
guegolplex = {10,{10,100,9},9}
giegol = {10,100,10} ("gee-ay-gol")
giegolplex = {10,{10,100,10},10}
boogol = {10,10,100}
boogolplex = {10,10,{10,10,100}}
boogolduplex = {10,10,{10,10,{10,10,100}}}
biggol = {10,10,100,2}
biggolplex = {10,10,{10,10,100,2},2}
biggolduplex = {10,10,{10,10,{10,10,100,2},2},2}
baggol = {10,10,100,3}
baggolplex = {10,10,{10,10,100,3},3}
beegol = {10,10,100,4}
beegolplex = {10,10,{10,10,100,4},4}
bigol = {10,10,100,5}
bigolplex = {10,10,{10,10,100,5},5}
boggol = {10,10,100,6}
boggolplex = {10,10,{10,10,100,6},6}
bagol = {10,10,100,7}
bagolplex = {10,{10,10,100,7},7}
bougol = {10,10,100,8}
bougolplex = {10,{10,10,100,8},8}
buegol = {10,10,100,9}
buegolplex = {10,{10,10,100,9},9}
biegol = {10,10,100,10}
biegolplex = {10,{10,10,100,10},10}
troogol = {10,10,10,100}
triggol = {10,10,10,100,2}
traggol = {10,10,10,100,3}
treegol = {10,10,10,100,4}
trigol = {10,10,10,100,5}
troggol = {10,10,10,100,6}
tragol = {10,10,10,100,7}
trougol = {10,10,10,100,8}
truegol = {10,10,10,100,9}
triegol = {10,10,10,100,10}
quadroogol = {10,10,10,10,100}
quadriggol = {10,10,10,10,100,2}
quadraggol = {10,10,10,10,100,3}
quadreegol = {10,10,10,10,100,4}
quadrigol = {10,10,10,10,100,5}
quadroggol = {10,10,10,10,100,6}
quadragol = {10,10,10,10,100,7}
quadrougol = {10,10,10,10,100,8}
quadruegol = {10,10,10,10,100,9}
quadriegol = {10,10,10,10,100,10}
quintoogol = {10,10,10,10,10,100}
quintiggol = {10,10,10,10,10,100,2}
quintaggol = {10,10,10,10,10,100,3}
quinteegol = {10,10,10,10,10,100,4}
quintigol = {10,10,10,10,10,100,5}
quintoggol = {10,10,10,10,10,100,6}
quintagol = {10,10,10,10,10,100,7}
quintougol = {10,10,10,10,10,100,8}
quintuegol = {10,10,10,10,10,100,9}
quintiegol = {10,10,10,10,10,100,10}
sextoogol = {10,10,10,10,10,10,100}
sextiggol = {10,10,10,10,10,10,100,2}
sextaggol = {10,10,10,10,10,10,100,3}
sexteegol = {10,10,10,10,10,10,100,4}
sextigol = {10,10,10,10,10,10,100,5}
sextoggol = {10,10,10,10,10,10,100,6}
sextagol = {10,10,10,10,10,10,100,7}
sextougol = {10,10,10,10,10,10,100,8}
sextuegol = {10,10,10,10,10,10,100,9}
sextiegol = {10,10,10,10,10,10,100,10}
septoogol = {10,10,10,10,10,10,10,100}
septiggol = {10,10,10,10,10,10,10,100,2}
septaggol = {10,10,10,10,10,10,10,100,3}
septeegol = {10,10,10,10,10,10,10,100,4}
septigol = {10,10,10,10,10,10,10,100,5}
septoggol = {10,10,10,10,10,10,10,100,6}
septagol = {10,10,10,10,10,10,10,100,7}
septougol = {10,10,10,10,10,10,10,100,8}
septuegol = {10,10,10,10,10,10,10,100,9}
septiegol = {10,10,10,10,10,10,10,100,10}
octoogol = {10,10,10,10,10,10,10,10,100}
octiggol = {10,10,10,10,10,10,10,10,100,2}
octaggol = {10,10,10,10,10,10,10,10,100,3}
octeegol = {10,10,10,10,10,10,10,10,100,4}
octigol = {10,10,10,10,10,10,10,10,100,5}
octoggol = {10,10,10,10,10,10,10,10,100,6}
octagol = {10,10,10,10,10,10,10,10,100,7}
octougol = {10,10,10,10,10,10,10,10,100,8}
octuegol = {10,10,10,10,10,10,10,10,100,9}
octiegol = {10,10,10,10,10,10,10,10,100,10}
nonoogol = {10,10,10,10,10,10,10,10,10,100}
noniggol = {10,10,10,10,10,10,10,10,10,100,2}
nonaggol = {10,10,10,10,10,10,10,10,10,100,3}
noneegol = {10,10,10,10,10,10,10,10,10,100,4}
nonigol = {10,10,10,10,10,10,10,10,10,100,5}
nonoggol = {10,10,10,10,10,10,10,10,10,100,6}
nonagol = {10,10,10,10,10,10,10,10,10,100,7}
nonougol = {10,10,10,10,10,10,10,10,10,100,8}
nonuegol = {10,10,10,10,10,10,10,10,10,100,9}
noniegol = {10,10,10,10,10,10,10,10,10,100,10}
decoogol = {10,10,10,10,10,10,10,10,10,10,100}
deciggol = {10,10,10,10,10,10,10,10,10,10,100,2}
decaggol = {10,10,10,10,10,10,10,10,10,10,100,3}
deceegol = {10,10,10,10,10,10,10,10,10,10,100,4}
decigol = {10,10,10,10,10,10,10,10,10,10,100,5}
decoggol = {10,10,10,10,10,10,10,10,10,10,100,6}
decagol = {10,10,10,10,10,10,10,10,10,10,100,7}
decougol = {10,10,10,10,10,10,10,10,10,10,100,8}
decuegol = {10,10,10,10,10,10,10,10,10,10,100,9}
deciegol = {10,10,10,10,10,10,10,10,10,10,100,10}
undecoogol = {10,10...10,10,100} (11 10's)
dodecoogol = {10,10...10,10,100} (12 10's)
tridecoogol = {10,10...10,10,100} (13 10's)
quadecoogol = {10,10...10,10,100} (14 10's)
quindecoogol = {10,10...10,10,100} (15 10's)
sexdecoogol = {10,10...10,10,100} (16 10's)
septdecoogol = {10,10...10,10,100} (17 10's)
octdecoogol = {10,10...10,10,100} (18 10's)
nondecoogol = {10,10...10,10,100} (19 10's)
vigintoogol = {10,10...10,10,100} (20 10's)
trigintoogol = {10,10...10,10,100} (30 10's)
quadragintoogol = {10,10...10,10,100} (40 10's)
quinquagintoogol = {10,10...10,10,100} (50 10's)
sextigintoogol = {10,10...10,10,100} (60 10's)
septigintoogol = {10,10...10,10,100} (70 10's)
octogintoogol = {10,10...10,10,100} (80 10's)
nonagintoogol = {10,10...10,10,100} (90 10's)
centoogol = {10,10...10,10,100} (100 10's)
goobol = {10,100(1)2}
gibbol = {10,100,2(1)2}
gabbol = {10,100,3(1)2}
...
boobol = {10,10,100(1)2}
bibbol = {10,10,100(1)2}
...
troobol = {10,10,10,100(1)2}
quadroobol = {10,10,10,10,100(1)2}
quintoobol = {10,10,10,10,10,100(1)2}
sextoobol = {10,10,10,10,10,10,100(1)2}
septoobol = {10,10,10,10,10,10,10,100(1)2}
octoobol = {10,10,10,10,10,10,10,10,100(1)2}
nonoobol = {10,10,10,10,10,10,10,10,10,100(1)2}
decoobol = {10,10,10,10,10,10,10,10,10,10,100(1)2}
...
gootrol = {10,100(1)3}
bootrol = {10,10,100(1)3}
trootrol = {10,10,10,100(1)3}
...
gooquadrol = {10,100(1)4}
gooquintol = {10,100(1)5}
goosextol = {10,100(1)6}
gooseptol = {10,100(1)7}
goooctol = {10,100(1)8}
goononol = {10,100(1)9}
goodecol = {10,100(1)10}
...
goocentol = {10,100(1)100}
gossol = {10,10(1)100}
gossolplex = {10,10(1){10,10(1)100}}
gissol = {10,10(1)100,2}
gassol = {10,10(1)100,3}
geesol = {10,10(1)100,4}
...
mossol = {10,10(1)10,100}
mossolplex = {10,10(1)10,{10,10(1)10,100}}
missol = {10,10(1)10,100,2}
...
bossol = {10,10(1)10,10,100}
trossol = {10,10(1)10,10,10,100}
quadrossol = {10,10(1)10,10,10,10,100}
quintossol = {10,10(1)10,10,10,10,100}
sextossol = {10,10(1)10,10,10,10,100}
septossol = {10,10(1)10,10,10,10,100}
octossol = {10,10(1)10,10,10,10,100}
nonossol = {10,10(1)10,10,10,10,100}
decossol = {10,10(1)10,10,10,10,100}
dubol = {10,100(1)(1)2} (alternatively deu-goobol)
dubolplex = {10,{10,100(1)(1)2}(1)(1)2}
dibol = {10,100,2(1)(1)2}
...
bidubol = {10,10,100(1)(1)2}
tridubol = {10,10,10,100(1)(1)2}
...
dutrol = {10,100(1)(1)3}
duquadrol = {10,100(1)(1)3}
duquintol = {10,100(1)(1)3}
...
dusol = {10,10(1)(1)100} (alternatively gossol-post-dubol)
mossol-post-dubol = {10,10(1)(1)10,100}
bossol-post-dubol = {10,10(1)(1)10,10,100}
...
trubol = {10,100(1)(1)(1)2} (alternatively tri-goobol)
trusol = {10,10(1)(1)(1)100} (alternatively gossol-post-trubol)
...
quadrubol = {10,100(1)(1)(1)(1)2} (alternatively ter-goobol)
quintubol = {10,100(1)(1)(1)(1)(1)2} (alternatively pep-goobol)
sextubol = {10,100(1)(1)(1)(1)(1)(1)2} (alternatively ext-goobol)
septubol = {10,100(1)(1)(1)(1)(1)(1)(1)2} (alternatively ept-goobol)
octubol = {10,100(1)(1)(1)(1)(1)(1)(1)(1)2} (alternatively ogd-goobol)
nonubol = {10,100(1)(1)(1)(1)(1)(1)(1)(1)(1)2} (alternatively enn-goobol)
decubol = {10,100(1)(1)(1)(1)(1)(1)(1)(1)(1)(1)2} (alternatively dek-goobol)
goopol = {10,100(2)2} ('p' because of the 'p' in "plane")
gootripol = {10,100(2)3}
gooterpol = {10,100(2)4}
...
gospol = {10,10(2)100} (alternatively gossol-post-goopol)
gisspol = {10,10(2)100,2} (alternatively gissol-post-goopol)
...
mosspol = {10,10(2)10,100} (alternatively mossol-post-goopol)
bosspol = {10,10(2)10,10,100} (alternatively bossol-post-goopol)
trosspol = {10,10(2)10,10,10,100} (alternatively trossol-post-goopol)
quadrosspol = {10,10(2)10,10,10,10,100} (alternatively quadrossol-post-goopol)
quintosspol = {10,10(2)10,10,10,10,10,100} (alternatively quintossol-post-goopol)
dubol-post-goopol = {10,100(2)(1)2}
dusol-post-goopol = {10,10(2)(1)100}
trubol-post-goopol = {10,100(2)(1)(1)2}
trossol-post-goopol = {10,10(2)(1)(1)100}
quadrubol-post-goopol = {10,100(2)(1)(1)(1)2}
...
deu-goopol = {10,100(2)(2)2}
deu-gospol = {10,10(2)(2)100}
dubol-post-deu-goopol = {10,100(2)(2)(1)2}
trubol-post-deu-goopol = {10,100(2)(2)(1)(1)2}
...
tri-goopol = {10,100(2)(2)(2)2}
dubol-post-tri-goopol = {10,100(2)(2)(2)(1)2}
trubol-post-tri-goopol = {10,100(2)(2)(2)(1)(1)2}
...
ter-goopol = {10,100(2)(2)(2)(2)2}
pep-goopol = {10,100(2)(2)(2)(2)(2)2}
ext-goopol = {10,100(2)(2)(2)(2)(2)(2)2}
ept-goopol = {10,100(2)(2)(2)(2)(2)(2)(2)2}
ogd-goopol = {10,100(2)(2)(2)(2)(2)(2)(2)(2)2}
enn-goopol = {10,100(2)(2)(2)(2)(2)(2)(2)(2)(2)2}
dek-goopol = {10,100(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)2}
cubegol = {10,100(3)2}
cubegolplex = {10,{10,100(3)2}(3)2}
gosscubegol = {10,10(3)100}
mosscubegol = {10,10(3)10,100}
bosscubegol = {10,10(3)10,10,100}
trosscubegol = {10,10(3)10,10,10,100}
dubol-post-cubegol = {10,100(3)(1)2}
goopol-post-cubegol = {10,100(3)(2)2}
deu-cubegol = {10,100(3)(3)2}
tri-cubegol = {10,100(3)(3)(3)2}
ter-cubegol = {10,100(3)(3)(3)(3)2}
pep-cubegol = {10,100(3)(3)(3)(3)(3)2}
...
tessgol = {10,100(4)2}
tessgolplex = {10,{10,100(4)2}(4)2}
deu-tessgol = {10,100(4)(4)2}
tri-tessgol = {10,100(4)(4)(4)2}
ter-tessgol = {10,100(4)(4)(4)(4)2}
pep-tessgol = {10,100(4)(4)(4)(4)(4)2}
pentergol = {10,100(5)2}
pentergolplex = {10,{10,100(5)2}(5)2}
deu-pentergol = {10,100(5)(5)2}
tri-pentergol = {10,100(5)(5)(5)2}
ter-pentergol = {10,100(5)(5)(5)(5)2}
pep-pentergol = {10,100(5)(5)(5)(5)(5)2}
hexergol = {10,100(6)2}
heptergol = {10,100(7)2}
octergol = {10,100(8)2}
ennergol = {10,100(9)2}
dekergol = {10,100(10)2}
icosergol = {10,100(20)2}
triantergol = {10,100(30)2}
...
hektergol = {10,100(100)2}
gongulus = {10,10(100)2}
kilergol = {10,100(1000)2}
myriergol = {10,100(10000)2}
megergol = {10,100(1000000)2}
googergol = {10,100(10^100)2}
But none of this comes close to...
gongulusplex = {10,10(gongulus)2} ~ {10,{10,10(100)2}(0,1)2}
gongulusduplex = {10,10(gongulusplex)2}
Now we must jump into the superdimensional spaces.
godulus = {10,100(0,1)2} = {10,100(100)2} = hektergol (name is because of the comparability to godgathor)
godultri = {10,100(0,1)3}
godultet = {10,100(0,1)4}
gossulus = {10,10(0,1)100}
...
gongulus-post-gossulus = {10,10(0,1)(100)2}
deu-gossulus = {10,100(0,1)(0,1)2}
...
godulpros = {10,100(1,1)2}
goduldeus = {10,100(2,1)2}
godultreus = {10,100(3,1)2}
...
gingulus = {10,100(0,2)2}
gingulpros = {10,100(1,2)2}
...
gangulus = {10,100(0,3)2}
geengulus = {10,100(0,4)2}
...
bongulus = {10,100(0,0,1)2} = {10,100(0,100)2}
trongulus = {10,100(0,0,0,1)2} = {10,100(0,0,100)2}
...
goplexulus = {10,100((1)1)2}
...
goduplexulus = {10,100((0,1)1)2}
...
This regiment will replace A & a to be {a,b(A)2} with prime b.
goppatoth = {10,100(X^^X)2}
goppatothplex = {10,100(X^^goppatoth)2}
...
goppafact = {10,100((X^^X)^X)2
...
territoth = {10,100((X^^X)^^X)2}
boppatoth = {10,100(X^^X^2)2}
troppatoth = {10,100(X^^X^3)2}
...
goppatope = {10,100(X^^X^X)2}
gopparxitri = {10,100(X^^X^^X)2}
gopparxitet = {10,100(X^^X^^X^^X)2}
kungulus = {10,100(X^^^X)2}
triakulus = 3&3&3
kungulusplex = {10,100(X^^^kungulus)2}
kungulfact = {10,100((X^^^X)^X)2}
terrikungulus = {10,100((X^^^X)^^X)2}
horrikungulus = {10,100((X^^^X)^^^X)2}
...
bungulus = {10,100(X^^^X^2)2}
trungulus = {10,100(X^^^X^3)2}
kungultope = {10,100(X^^^X^X)2}
kungultoth = {10,100(X^^^X^^X)2}
kungarxitri = {10,100(X^^^X^^^X)2}
kungarxitet = {10,100(X^^^X^^^X^^^X)2}
quadrunculus = {10,100(X^^^^X)2}
quadrunculusplex = {10,100(X^^^^quadrunculus)2}
quadrunculfact = {10,100((X^^^^X)^X)2}
terriquadrunculus = {10,100((X^^^^X)^^X)2}
horriquadrunculus = {10,100((X^^^^X)^^^X)2}
horrendoquadrunculus = {10,100((X^^^^X)^^^^X)2}
...
biquadrunculus = {10,100(X^^^^X^2)2}
triquadrunculus = {10,100(X^^^^X^3)2}
quadruncultope = {10,100(X^^^^X^X)2}
quadruncultoth = {10,100(X^^^^X^^X)2}
kungulo-quadrunculus = {10,100(X^^^^X^^^X)2}
quadruncularxitri = {10,100(X^^^^X^^^^X)2}
quadruncularxitet = {10,100(X^^^^X^^^^X^^^^X)2}
...
quintunculus = {10,100(X^^^^^X)2}
sextunculus = {10,100(X^^^^^^X)2}
septunculus = {10,100(X{7}X)2} = {10,100({X,X,7})2}
octunculus = {10,100({X,X,8})2}
nonunculus = {10,100({X,X,9})2}
decunculus = {10,100({X,X,10})2}
humongulus = {10,100({X,X,X})2}
humongulusplex = {10,100({X,X,humongulous})2}
duexpanded-humongulus = {10,100({X,X,{X,X,X}})2}
triexpanded-humongulus = {10,100({X,X,{X,X,{X,X,X}}})2}
expandulus = {10,100({X,X,1,2})2}
multi-expandulus = {10,100({X,X,2,2})2}
explodulus = {10,100({X,X,1,3})2}
detonatulus = {10,100({X,X,1,4})2}
tetrentulus = {10,100({X,X,X,X})2}
megotulus = {10,100({X,X,1,1,2})2}
pententulus = {10,100({X,X,X,X,X})2}
hexentulus = {10,100({X,X,X,X,X,X})2}
heptentulus = {10,100({X,X,X,X,X,X,X})2}
goobawamba = {10,100(1)2} & 10
goobawambaplex = {10,goobawamba(1)2} & 10
gibbawamba = {10,100,2(1)2} & 10
...
boobawamba = {10,10,100(1)2} & 10
troobawamba = {10,10,10,100(1)2} & 10
...
gootrawamba = {10,100(1)3} & 10
bootrawamba = {10,10,100(1)3} & 10
...
gooquadrawamba = {10,100(1)4} & 10
gossawamba = {10,10(1)100} & 10
mossawamba = {10,10(1)10,100} & 10
bossawamba = {10,10(1)10,10,100} & 10
...
dubowamba = {10,100(1)(1)2} & 10
trubowamba = {10,100(1)(1)(1)2} & 10
quadrubowamba = {10,100(1)(1)(1)(1)2} & 10
goopawamba = {10,100(2)2} & 10
cubegowamba = {10,100(3)2} & 10
tessgowamba = {10,100(4)2} & 10
golapulus = {10,10(100)2} & 10 (alternatively gongowamba, gongotrix)
godlapulus = {10,100(0,1)2} & 10
bolapulus = {10,100(0,0,1)2} & 10
trolapulus = {10,100(0,0,0,1)2} & 10
goplapulus = {10,100((1)1)2} & 10
goduplapulus = {10,100((0,1)1)2} & 10
gotriplapulus = {10,100(((1)1)1)2} & 10
goppatrix = 10^^100 & 10 & 10
kungutrix = 10^^^100 & 10 & 10
quadruncutrix = 10^^^^100 & 10 & 10
humongotrix = {10,10,100} & 10 & 10
expandulotrix = {10,100,1,2} & 10 & 10
tetrakulus = 4 & 4 & 4 & 4
megotulotrix = {10,100,1,1,2} & 10 & 10
tetdekulus = 10&10&10&10
golaputrix = {10,10(100)2} & 10 & 10 (alternatively gongodutrix)
pentakulus = 5 & 5 & 5 & 5 & 5
pendekulus = 10 & 10 & 10 & 10 & 10
golapudutrix = {10,10(100)2} & 10 & 10 & 10 (alternatively gongotritrix)
hexakulus = {6,6/2}
hexdekulus = {10,6/2}
heptakulus = {7,7/2}
hepdekulus = {10,7/2}
dekulus = {10,10/2}
A series of numbers involving the number 16
Zero-sixteen = f[0](16) = 17 in FGH
One-sixteen = f[1](16) = 32
Two-sixteen = f[2](16) = 1048576
Hyper-sixteen = E16#16 in Hyper-E notation
Omega-sixteen = f[w](16) = f[16](16) which is greater than 10{15}15 according to https://weee50.github.io/hardycalc/
Deuterhyper-sixteen = E16##16 in xE#
Cascading Sixteen = E16#^#16
Blasphemous Sixteen = E16{#,#,1,2}16
Sixteenth Legion = {16,16////////////////16} in BEAF
Uncountable Sixteen = f[psi0(a)](16) where a is the first fixed point of a -> W_a
> will be used to represent the thick arrow
deko-arrone = 10>1
deko-arrtwo = 10>2
deko-arrthree = 10>3
deko-arrten = 10>10
deko-arrten-arrtwo = 10>10>2
deko-arrten-arrten = 10>10>10
deko-triple-arrten = 10>10>10>10
deko-decuple-arrten = 10>10>10...10>10>10 with 11 copies of 10
deko-duarrtwo = 10>>2 = 10>10>10...10>10>10 with 10 copies of 10
deko-duarrthree = 10>>3
deko-duarrten = 10>>10
deko-duarrten-arrtwo = 10>>10>2
deko-duarrten-arrten = 10>>10>10
deko-duarrten-duarrten = 10>>10>>10
deko-triarrten = 10>>>10
deko-terarrten = 10>>>>10
deko-petarrten = 10>>>>>10
deko-arrbractwo = 10>[2]
deko-arrbracthree = 10>[3]
deko-arrbracten = 10>[10]
deko-arrbracten-arrbracten = 10>[10]>[10]
deko-duarrbracten = 10>>[10]
deko-triarrbracten = 10>>>[10]
deko-arrdubracten = 10>[[10]]
deko-arrtribracten = 10>[[[10]]]
deko-arrcurloten = 10>{10}
A crescent array containing # will be represented as (#) and not the version with the crescents for simplicity's sake.
(10,10) = Deutero-dekacresc
(10,10,2) = Two-upon-dudekacresc
(10,10,3) = Three-upon-dudekacresc
(10,10,10) = Ten-upon-dudekacresc = Trito-dekacresc
(10,10,1,2) = Expando-crescent
(10,10,2,2) = Duexpando-crescent
(10,10,10,2) = Two-upon-tridekacresc
(10,10,1,3) = Explodo-crescent
(10,10,2,3) = Duexplodo-crescent
(10,10,10,3) = Three-upon-tridekacresc
(10,10,10,10) = Teterto-dekacresc
(10,10,1,1,2) = Megoto-crescent
(10,10,1,1,3) = Gigoto-crescent
(10,10,10,10,10) = Pepto-dekacresc
(10,10,10,10,10,10) = Exto-dekacresc
(10|2) = Two-piped-dekacresc = Dekato-dekacresc
(10|3) = Three-piped-dekacresc
(10|10) = Ten-piped-dekacresc = Dudekacrescento-pipe
Many (most) of these are not my own
Million = 10^6
Billion = 10^9
Trillion = 10^12
Quadrillion (alternatively tetrillion) = 10^15
Quintillion (alternatively pentillion) = 10^18
Sextillion (alternatively hexillion) = 10^21
Septillion (alternatively heptillion) = 10^24
Octillion = 10^27
Nonillion (alternatively ennillion) = 10^30
Decillion = 10^33
Vigintillion = 10^63
Trigintillion = 10^93
Quadragintillion = 10^123
Quinquagintillion = 10^153
Sexagintillion = 10^183
Septagintillion = 10^213
Octagintillion = 10^243
Nonagintillion = 10^273
Centillion = 10^303
Ducentillion = 10^603
Trecentillion = 10^903
Quadringentillion = 10^1203
Quingentillion = 10^1503
Sescentillion = 10^1803
Septingentillion = 10^2103
Octingentillion = 10^2403
Nongentillion = 10^2703
Millillion = 10^3003
Billillion = 10^6003
Trillillion = 10^9003
Quadrillillion = 10^12003
Quintillillion = 10^15003
Sextillillion = 10^18003
Septillillion = 10^21003
Octillillion = 10^24003
Nonillillion = 10^27003
Myrillion = 10^30003
Dumyrillion = 10^60003
Tremyrillion = 10^90003
Quadryrillion = 10^120003
Quintyrillion = 10^150003
Sesmyrillion = 10^180003
Septyrillion = 10^210003
Octyrillion = 10^240003
Nonyrillion = 10^270003
Decyrillion = 10^300003
Vigintyrillion = 10^600003
Trigintyrillion = 10^900003
Quadragintyrillion = 10^1200003
...skipping ahead...
Micrillion = 10^3000003