4.3.5 - Cascading-E Numbers

4.3.5

Cascading-E Numbers

(2685 - 5109)

PREV>> 4.3.4 - Cascading-E Notation

Forging New E^ Numbers

Now that I have at least established my E System up to epsilon-zero, let's forge some new googolisms in this vast new territory.

This list contains googolism's #2685 through #5109. That's a total of 2425 googolism's, 2413 of which are completely new to ExE, and 12 of which were the early beta releases from the "Extended Hyper-E Numbers" article. These are broken up into 28 new regiments. At the end of the list I also have a special pre-release of the first regiment of the "Extended Cascading-E Numbers" with 177 googolisms, along with an additional 30 planned numbers with no names.

Ready for some even more insane numbers! Let's get started...

Godgahlah Regiment

Category 30

Members: 160

(2685 - 2844)

Before we move forward, let's revisit the godgahlah group with our new found sophistication.

Classically we have:

(2685) godgahlah = E100#^#100

*see (1) in beta release

(2686) godgahlahgong = E100,000#^#100,000

*see (2) in beta release

(2687) googahlah = E100#^#googol = E100#^(googol)100

(2688) grand godgahlah = E100#^#100#2 = E100#^#(E100#^#100) = E100#^#godgahlah

*see (3) in beta release

(2689) grand godgahlahgong = E100,000#^#100,000#2 = E100,000#^#godgahlahgong

*see (4) in beta release

We can also have:

(2690) grand grand godgahlah = E100#^#100#3

*see (5) in beta release

Also called (2691) two-ex-grand godgahlah, see (8) in beta release

(2692) grand grand grand godgahlah = E100#^#100#4

*see (6) in beta release

Also called (2693) three-ex-grand godgahlah, see (9) in beta release

(2694) grand grand grand grand godgahlah = E100#^#100#5

*see (7) in beta release

Also called (2695) four-ex-grand godgahlah, see (10) in beta release

etc.

(2696) hundred-ex-grand godgahlah = E100#^#100#101

*see (11) in beta release

(2697) godgahlah-ex-grand-godgahlah = E100#^#100#(1+E100#^#100)

*see (12) in beta release

But this is just a series. So let's say we have a godgahlah series where the 1st member is godgahlah, the 2nd is grand godgahlah, the 3rd is grand grand godgahlah, etc. So there must be a 100th member of the godgahlah series. This is some new kind of number we'll call the grandgahlah (grangol + godgahlah). So we have:

(2698) grandgahlah = E100#^#100#100

But we can see where this is going. We're going to want to go up to the grandgahlahth member of the godgahlah series next. We'll call this the grand grandgahlah:

(2699) grand grandgahlah = E100#^#100#100#2

But we've done stuff like this before. We know that we can now just have a grandgahlah series, and we'll want to know what the 100th member of that is, so we invent greagahlah (greagol + godgahlah) and we define it as:

(2700) greagahlah = E100#^#100#100#100

See the pattern? We can recycle our old names, appending -gahlah to them. So we would have:

(2701) gigangahlah = E100#^#100#100#100#100

(2702) gorgegahlah = E100#^#100#100#100#100#100

(2703) gulgahlah = E100#^#100#100#100#100#100#100

(2704) gaspgahlah = E100#^#100#100#100#100#100#100#100

(2705) ginorgahlah = E100#^#100#100#100#100#100#100#100#100

(2706) gargangahlah = E100#^#100##9

(2707) googongahlah = E100#^#100##10

Already we're way way past what we had before on the Hyper-E article when I tried to discuss "godgahlah x grand godgahlah". Yet, from a structural standpoint, this isn't so new or different. We know that we could create a whole plethora of new names based on E100#^#..., but here are just a few:

(2708) gugoldgahlah = E100#^#100##100

(2709) graatagoldgahlah = E100#^#100##100#100

(2710) greegoldgahlah = E100#^#100##100#100#100

(2711) grinningoldgahlah = E100#^#100##100#100#100#100

(2712) golaagoldgahlah = E100#^#100##100#100#100#100#100

(2713) gruelohgoldgahlah = E100#^#100##100#100#100#100#100#100

(2714) gaspgoldgahlah = E100#^#100##100#100#100#100#100#100#100

(2715) ginorgoldgahlah = E100#^#100##100#100#100#100#100#100#100#100

(2716) gargantuuldgahlah = E100#^#100##100##9

(2717) googondoldgahlah = E100#^#100##100##10

...

(2718) gugolthragahlah = E100#^#100##100##100

...

(2719) gugolteslagahlah = E100#^#100##100##100##100

(2720) gugolpetagahlah = E100#^#100##100##100##100##100

(2721) gugolhexagahlah = E100#^#100##100##100##100##100##100

(2722) gugolheptagahlah = E100#^#100##100##100##100##100##100##100

(2723) gugoloctagahlah = E100#^#100##100##100##100##100##100##100##100

(2724) gugolennagahlah = E100#^#100###9

(2725) gugoldekagahlah = E100#^#100###10

...

(2726) throogahlah = E100#^#100###100

(2727) throotrigahlah = E100#^#100###100###100

(2728) throotergahlah = E100#^#100###100###100###100

(2729) throopetgahlah = E100#^#100####5

(2730) throohexgahlah = E100#^#100####6

(2731) throoheptgahlah = E100#^#100####7

(2732) throogogdgahlah = E100#^#100####8

(2733) throogentgahlah = E100#^#100####9

(2734) throodekgahlah = E100#^#100####10

...

(2735) tetroogahlah = E100#^#100####100 ( formally teroogahlah )

(2736) pentoogahlah = E100#^#100#####100 ( formally petoogahlah )

(2737) hexoogahlah = E100#^#100######100 ( formally ectoogahlah )

(2738) heptoogahlah = E100#^#100#######100 ( formally zettogahlah )

(2739) ogdoogahlah = E100#^#100########100 ( formally yottoogahlah )

(2740) entoogahlah = E100#^#100#^#9

(2741) dektoogahlah = E100#^#100#^#10

Now imagine we let the second separator become #^#. Following the above pattern we would obtain the term godgahlahgahlah. However I'll will use the term gotrigahlah since it has three arguments:

(2742) gotrigahlah = E100#^#100#^#100

This is identical to the definition for "bodgahlah", just replace "#^#" with "+". Resolving this expression is much more difficult than it looks. It is not simply E100#¹⁰⁰100#¹⁰⁰100. That is a mere E100#¹⁰¹3 which is less than E100#¹⁰¹100, which is less than E100#^{E100#^#100}100, which is merely E100#^#100#2, which is less than E100#^#100#100, which is much much less than E100#^#100#^#100. To "solve" for a gotrigahlah, you first must expand the 2nd #^# first. Only once you have resolved everything to something of the form E100#^#X, can you then expand the 1st #^#. This however is impossible.

Just to see how much is involved let's look at how to expand this expression correctly.

Firstly we have:

E100#^#100#^#100 = E100#^#100#############...###############100 w/100 #s in a row

Next we can expand further to obtain:

E100#^#100#¹⁰⁰100 = E100#^#100#⁹⁹100#⁹⁹ ... #⁹⁹100#⁹⁹100 w/101 100s

Next the last two arguments get expanded into a series of #⁹⁸s:

E100#^#100#¹⁰⁰100 = E100#^#100#⁹⁹100#⁹⁹ ... #⁹⁹100#⁹⁸100#⁹⁸ ... #⁹⁸100#⁹⁸100

Next the last two arguments get expanded into a series of #⁹⁷s, then a series of #⁹⁶s, then #⁹⁵s, #⁹⁴s, #⁹³s, etc. Eventually we get to a point in which the last two arguments only have a proto-hyperion between them:

E100#^#100#⁹⁹...#⁹⁸...#⁹⁷ ... ... ... ... #100#100

At this point, the entire expression has the last argument decreased by 1, and is substituted to replace the last two arguments. The result is:

E100#^#100#⁹⁹...#⁹⁸...#⁹⁷ ... ... ... ... #100#100 =

E100#^#100#⁹⁹...#⁹⁸...#⁹⁷ ... ... ... ... #(E100#^#100#⁹⁹...#⁹⁸...#⁹⁷ ... ... ... ... #100#99)

The nesting continues as the last argument decrements by 1 at each stage. Eventually the last argument in the innermost nest becomes 1 and is dropped. Then the nesting just continues with the next argument, then the next, and so on, for all the proto-hyperions that were originally generated. After all this madness we eventually reach a stage at which we have:

E100#^#100#⁹⁹ ... ... [massive nesting] ... ... (E100#^#100#⁹⁹...#⁹⁸...#⁹⁷ ... ... ... ... ##100##X)))...)))

Where X is some incredibly large number (though necessarily less than a gotrigahlah). Now this expand to become:

@(E100#^#100#⁹⁹...#⁹⁸...#⁹⁷ ... ... ... ... ##100#100#100#100# ... ... ... ... #100#100#100)...)

w/X 100s after "##"

So now an even more insane series of nestings begins, but this is already within an insane amount of nestings! As you can begin to imagine, it's impossible to imagine the full machinations of the process to reach E100#^#X, although the steps are elementary enough to understand. At this point X is unimaginably massive and virtually indistinguishable from a gotrigahlah itself!!!

So a gotrigahlah is incomprehensibly vaster than a godgahlah, which is a "mere" E100#^#100. and, of coarse, this is just the very beginning. Just as we extended godgahlah with roots from our previous extensive system, we can do the same thing for a gotrigahlah. So we have:

(2743) grangotrigahlah = E100#^#100#^#100#100

(2744) greagotrigahlah = E100#^#100#^#100#100#100

(2745) gigangotrigahlah = E100#^#100#^#100#100#100#100

(2746) gorgegotrigahlah = E100#^#100#^#100##5

(2747) gulgotrigahlah = E100#^#100#^#100##6

(2748) gaspgotrigahlah = E100#^#100#^#100##7

(2749) ginorgotrigahlah = E100#^#100#^#100##8

(2750) gargangotrigahlah = E100#^#100#^#100##9

(2751) googongotrigahlah = E100#^#100#^#100##10

...

(2752) gugoldgotrigahlah = E100#^#100#^#100##100

(2753) gugolthragotrigahlah = E100#^#100#^#100##100##100

(2754) gugolteslagotrigahlah = E100#^#100#^#100##100##100##100

(2755) gugolpetagotrigahlah = E100#^#100#^#100###5

(2756) gugolhexagotrigahlah = E100#^#100#^#100###6

(2757) gugolheptagotrigahlah = E100#^#100#^#100###7

(2758) gugoloctagotrigahlah = E100#^#100#^#100###8

(2759) gugolennagotrigahlah = E100#^#100#^#100###9

(2760) gugoldekagotrigahlah = E100#^#100#^#100###10

...

(2761) throogotrigahlah = E100#^#100#^#100###100

(2762) throotrigotrigahlah = E100#^#100#^#100###100###100

(2763) throotergotrigahlah = E100#^#100#^#100###100###100###100

(2764) throopetgotrigahlah = E100#^#100#^#100####5

(2765) throohexgotrigahlah = E100#^#100#^#100####6

(2766) throoheptgotrigahlah = E100#^#100#^#100####7

(2767) throogogdgotrigahlah = E100#^#100#^#100####8

(2768) throogentgotrigahlah = E100#^#100#^#100####9

(2769) throodekgotrigahlah = E100#^#100#^#100####10

...

(2770) tetroogotrigahlah = E100#^#100#^#100####100 ( formally terootrigahlah )

(2771) pentoogotrigahlah = E100#^#100#^#100#####100 ( formally petootrigahlah )

(2772) hexoogotrigahlah = E100#^#100#^#100######100 ( formally ectootrigahlah )

(2773) heptoogotrigahlah = E100#^#100#^#100#######100 ( formally zettootrigahlah )

(2774) ogdoogotrigahlah = E100#^#100#^#100########100 ( formally yottootrigahlah )

(2775) entoogotrigahlah = E100#^#100#^#100#^#9

(2776) dektoogotrigahlah = E100#^#100#^#100#^#10

...

What should know what's coming next. Now we replace the last hash band with yet another #^#. Thus I now define:

(2777) gotergahlah = E100#^#100#^#100#^#100

(dubbed "trodgahlah" according to googleaarex of the googology wiki)

Of coarse we can create the same extensions for gotergahlah just as we did for gotrigahlah and godgahlah. This would produce (2778) grangotergahlah, (2779) greagotergahlah, (2780) gigangotergahlah, (2781) gorgegotergahlah, (2782) gulgotergahlah, (2783) gaspgotergahlah, (2784) ginorgotergahlah, (2785) gargangotergahlah, (2786) googongotergahlah ... (2787) throogotergahlah, (2788) tetroogotergahlah ( formally terootergahlah ), (2789) pentoogotergahlah ( formally petootergahlah ), (2790) hexoogotergahlah ( formally ectootergahlah ), (2791) heptoogotergahlah ( formally zettootergahlah ), (2792) ogdoogotergahlah ( formally yottootergahlah ), (2793) entoogotergahlah, and (2794) dektoogotergahlah.

Now we want yet another major milestone. I define:

(2795) goppegahlah = E100#^#100#^#100#^#100#^#100

It wouldn't be difficult to create a whole series from goppegahlah. Just drop "gop" and replace it with the various roots as established above. Let's therefore just continue with the milestones. Next we have the sequence:

(2796) gohexgahlah = E100#^#100#^#100#^#100#^#100#^#100

(2797) gohepgahlah = E100#^#100#^#100#^#100#^#100#^#100#^#100

(2798) go-ahtgahlah = E100#^#100#^#100#^#100#^#100#^#100#^#100#^#100

(2799) go-enngahlah = E100#^#100#^#100#^#100#^#100#^#100#^#100#^#100#^#100

(2800) godekahlah = E100#^#100#^#100#^#100#^#100#^#100#^#100#^#100#^#100#^#100

YIKES! That's 10 arguments separated by #^#s. Of coarse we'll probably want to name the instance of 100 arguments separated by #^#s. Following the above scheme we would call it gohectgahlah.

gohectgahlah = E100#^#100#^#100#^#100#^# ... ... ... ... #^#100#^#100 w/100 100s

Note however that we could simply truncate this to:

(2801) gohectgahlah = E100#^#*#100

(This number was dubbed "godmegahlah" and defined as E100++100 by googleaarex of the googology wiki)

This brings us to the next level of development. Since this number can be thought of as having two +s, we can look at the name for the number with two hashes to draw inspiration. Since:

gugold = E100##100

We define:

(2802) godgoldgahlah = E100++100 = E100#^#*#100

Next we have the sequence:

(2803) gotrigoldgahlah = E100#^#*#100#^#*#100 = E100#^#*##3

(2804) gotergoldgahlah = E100#^#*#100#^#*#100#^#*#100 = E100#^#*##4

(2805) goppegoldgahlah = E100#^#*##5

(2806) gohexgoldgahlah = E100#^#*##6

(2807) gohepgoldgahlah = E100#^#*##7

(2808) go-ahtgoldgahlah = E100#^#*##8

(2809) go-enngoldgahlah = E100#^#*##9

(2810) godekagoldgahlah = E100#^#*##10

Now we need a name for E100#^#*##100. Again we know this is equivalent to E100+++100, so we consider the name for E100###100:

throogol = E100###100

so we define...

(2811) godthroogahlah = E100#^#*##100

Furthermore we define the following sequence:

(2812) godtetroogahlah = E100#^#*###100 (E100++++100)

( formally godteroogahlah )

(2813) godpentoogahlah = E100#^#*####100 (E100+++++100)

( formally godpetoogahlah )

(2814) godhexoogahlah = E100#^#*#####100 (E100++++++100)

( formally go-ectoogahlah )

(2815) godheptoogahlah = E100#^#*######100 (E100+++++++100)

( formally godzettoogahlah )

(2816) godogdoogahlah = E100#^#*#######100 (E100++++++++100)

( formally godyottoogahlah )

(2817) godentoogahlah = E100#^#*#^#8

(2818) goddektoogahlah = E100#^#*#^#9

...

The next step would be to have a name for E100#^#*#####...#####100 with 100 #s in a row. This we can truncate to E100#^#*#^#100. Here's where things get interesting. I define:

(2819) deutero-godgahlah = E100#^#*#^#100

We can also append deutero to our previously constructed names to obtain:

(2820) deutero-godgoldgahlah = E100#^#*#^#*#100

(2821) deutero-godthroogahlah = E100#^#*#^#*##100

(2822) deutero-godtetroogahlah = E100#^#*#^#*###100

( formally deutero-godteroogahlah )

(2823) deutero-godpentoogahlah = E100#^#*#^#*####100

( formally deutero-godpetoogahlah )

(2824) deutero-godhexoogahlah = E100#^#*#^#*#####100

( formally deutero-go-ectoogahlah )

(2825) deutero-godheptoogahlah = E100#^#*#^#*######100

( formally deutero-godzettogahlah )

(2826) deutero-godogdoogahlah = E100#^#*#^#*#######100

( formally deutero-godyottoogahlah )

(2827) deutero-godentoogahlah = E100#^#*#^#*#^#8

(2828) deutero-goddektoogahlah = E100#^#*#^#*#^#9

...

To cut to the chase, as you can imagine, we can now have multiple products of #^#. Continuing the pattern we have:

(2829) trito-godgahlah = E100#^#*#^#*#^#100

(2830) teterto-godgahlah = E100#^#*#^#*#^#*#^#100

(2831) pepto-godgahlah = E100#^#*#^#*#^#*#^#*#^#100

(2832) exto-godgahlah = E100#^#*#^#*#^#*#^#*#^#*#^#100

(2833) epto-godgahlah = E100#^#*#^#*#^#*#^#*#^#*#^#*#^#100

(2834) ogdo-godgahlah = E100#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#100

(2835) ento-godgahlah = E100#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#100

(2836) dekato-godgahlah = E100#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#100

...

(2837) isosto-godgahlah = E100#^#*#^#*#^#* ... *#^#*#^#100 w/20 #^#s = E100#^##20

(2838) trianto-godgahlah = E100#^##30

(2839) saranto-godgahlah = E100#^##40

(2840) peninto-godgahlah = E100#^##50 *formally pentikosto-godgahlah

(2841) exinto-godgahlah = E100#^##60

(2842) ebdominto-godgahlah = E100#^##70

(2843) ogdonto-godgahlah = E100#^##80

(2844) eneninto-godgahlah = E100#^##90

This brings us to the end of the expanded godgahlah Regiment.

Gridgahlah

Regiment

Category 31

Members: 28

(2845 - 2872)

Observe that according to our definition of Cascading-E Notation:

@a#^##b = @a(#^#)^(b)a = @a#^#*#^#* ... *#^#*#^#a w/b #^#'s

So we can truncate the above expressions and say that:

godgahlah = E100#^##1 = E100#^#100

deutero-godgahlah = E100#^##2 = E100#^#*#^#100

trito-godgahlah = E100#^##3 = E100#^#*#^#*#^#100

teterto-godgahlah = E100#^##4 = E100#^#*#^#*#^#*#^#100

pepto-godgahlah = E100#^##5

exto-godgahlah = E100#^##6

epto-godgahlah = E100#^##7

ogdo-godgahlah = E100#^##8

ento-godgahlah = E100#^##9

dekato-godgahlah = E100#^##10

isosto-godgahlah = E100#^##20

peninto-godgahlah = E100#^##50

Naturally we're going to want a name for E100#^##100. What would be a fitting name? Since #^## is comparable to an X² array, we can say that this name is a "grid" type number. With that in mind I define:

(2845) gridgahlah = E100#^##100 =

E100#^#*#^#*#^#*#^#* ... *#^#*#^#*#^#100 w/100 #^#s

That's a pretty awesome number. It would be comparable to a size 100 - X² array of 10s in Bowers' array notation. This places it in the ballpark of a xappol, which is a size 10 - X² array of 10s. Bowers' doesn't have a name for 100x100 & 10, but I came up with a (2846) goxxol as a name for this number. Thus we can say:

gridgahlah ~ goxxol ~ xappol

Although this is an extremely loose approximation, these numbers are at least all planar array numbers.

Next we can have ...

(2847) grand gridgahlah = E100#^##100#2 = E100#^##(E100#^##100)

= E100#^#*#^#*#^#*#^#*#^#* ... ... ... ... ... *#^#*#^#*#^#*#^#*#^#100

w/gridgahlah #^#s

That's pretty awesome, but we are just getting started ...

Just as we created an entire family of numbers from just godgahlah, we can come up with similar extensions for gridgahlah. Firstly we establish:

(2848) gridtrigahlah = E100#^##100#^##100 = E100#^##*#3

(2849) gridtergahlah = E100#^##100#^##100#^##100 = E100#^##*#4

(2850) gridpeggahlah = E100#^##100#^##100#^##100#^##100 = E100#^##*#5

(2851) gridhexgahlah = E100#^##100#^##100#^##100#^##100#^##100 = E100#^##*#6

(2852) gridhepgahlah = E100#^##*#7

(2853) grid-ahtgahlah = E100#^##*#8

(2854) grid-enngahlah = E100#^##*#9

(2855) grid-dekahlah = E100#^##*#10

Skipping on ahead to the next even more insane sequence we can have:

(2856) deutero-gridgahlah = E100#^##*#^##100 = E100#^###2

(2857) trito-gridgahlah = E100#^##*#^##*#^##100 = E100#^###3

(2858) teterto-gridgahlah = E100#^##*#^##*#^##*#^##100 = E100#^###4

(2859) pepto-gridgahlah = E100#^##*#^##*#^##*#^##*#^##100 = E100#^###5

(2860) exto-gridgahlah = E100#^##*#^##*#^##*#^##*#^##*#^##100 = E100#^###6

(2861) epto-gridgahlah = E100#^###7

(2862) ogdo-gridgahlah = E100#^###8

(2863) ento-gridgahlah = E100#^###9

(2864) dekato-gridgahlah = E100#^###10

...

(2865) isosto-gridgahlah = E100#^###20

(2866) trianto-gridgahlah = E100#^###30

(2867) saranto-gridgahlah = E100#^###40

(2868) peninto-gridgahlah = E100#^###50 *formally pentikosto-gridgahlah

(2869) exinto-gridgahlah = E100#^###60

(2870) ebdominto-gridgahlah = E100#^###70

(2871) ogdonto-gridgahlah = E100#^###80

(2872) eneninto-gridgahlah = E100#^###90

...

Kubikahlah

Regiment

Category 32

Members: 28

(2873 - 2900)

Next up is the kubikahlah group (from "cubic - godgahlah"). By definition:

(2873) kubikahlah = E100#^###100

A kubikalah is comparable to Bowers' colossol.

Again I define 100^3&10 as (2874) coloxxol so that I can say

kubikahlah ~ coloxxol

Again we can have a grand version...

(2875) grand kubikahlah = E100#^###100#2 = E100#^###(kubikahlah)

We can also form a series of derivative googolisms:

(2876) kubitrigahlah = E100#^###100#^###100 = E100#^###*#3

(2877) kubitergahlah = E100#^###100#^###100#^###100 = E100#^###*#4

(2878) kubipeggahlah = E100#^###*#5

(2879) kubihexgahlah = E100#^###*#6

(2880) kubihepgahlah = E100#^###*#7

(2881) kubi-ahtgahlah = E100#^###*#8

(2882) kubi-enngahlah = E100#^###*#9

(2883) kubi-dekahlah = E100#^###*#10

We also create the following series:

(2884) deutero-kubikahlah = E100#^###*#^###100 = E100#^####2

(2885) trito-kubikahlah = E100#^###*#^###*#^###100 = E100#^####3

(2886) teterto-kubikahlah = E100#^###*#^###*#^###*#^###100 = E100#^####4

(2887) pepto-kubikahlah = E100#^####5

(2888) exto-kubikahlah = E100#^####6

(2889) epto-kubikahlah = E100#^####7

(2890) ogdo-kubikahlah = E100#^####8

(2891) ento-kubikahlah = E100#^####9

(2892) dekato-kubikahlah = E100#^####10

...

(2893) isosto-kubikahlah = E100#^####20

(2894) trianto-kubikahlah = E100#^####30

(2895) saranto-kubikahlah = E100#^####40

(2896) peninto-kubikahlah = E100#^####50 *formally pentikosto-kubikahlah

(2897) exinto-kubikahlah = E100#^####60

(2898) ebdominto-kubikahlah = E100#^####70

(2899) ogdonto-kubikahlah = E100#^####80

(2900) eneninto-kubikahlah = E100#^####90

...

Quarticahlah

Regiment

Category 33

Members: 22

(2901 - 2922)

Next up is the quarticahlah group (from "quartic - godgahlah"):

(2901) quarticahlah = E100#^####100

(quarticahlah ~ terossol)

Let (2902) teroxxol = 100^4&10:

quarticahlah ~ teroxxol

We can also have...

(2903) grand quarticahlah = E100#^####100#2 = E100#^####(quarticahlah)

These sequences should be routine by now...

(2904) quartitrigahlah = E100#^####100#^####100

(2905) quartitergahlah = E100#^####100#^####100#^####100

etc.

(2906) deutero-quarticahlah = E100#^####*#^####100

(2907) trito-quarticahlah = E100#^####*#^####*#^####100

(2908) teterto-quarticahlah = E100#^####*#^####*#^####*#^####100

(2909) pepto-quarticahlah = E100#^#####5

(2910) exto-quarticahlah = E100#^#####6

(2911) epto-quarticahlah = E100#^#####7

(2912) ogdo-quarticahlah = E100#^#####8

(2913) ento-quarticahlah = E100#^#####9

(2914) dekato-quarticahlah = E100#^#####10

...

(2915) isosto-quarticahlah = E100#^#####20

(2916) trianto-quarticahlah = E100#^#####30

(2917) saranto-quarticahlah = E100#^#####40

(2918) peninto-quarticahlah = E100#^#####50 *formally pentikosto-quarticahlah

(2919) exinto-quarticahlah = E100#^#####60

(2920) ebdominto-quarticahlah = E100#^#####70

(2921) ogdonto-quarticahlah = E100#^#####80

(2922) eneninto-quarticahlah = E100#^#####90

...

Quinticahlah

Regiment

Category 34

Members: 22

(2923 - 2944)

(2923) quinticahlah = E100#^#####100

quinticahlah ~ petossol

Let (2924) petoxxol = 100^5&10:

quinticahlah ~ petoxxol

(2925) grand quinticahlah = E100#^#####100#2 = E100#^#####(quinticahlah)

Again we have the derivatives:

(2926) quintitrigahlah = E100#^#####100#^#####100

(2927) quintitergahlah = E100#^#####100#^#####100#^#####100

etc.

(2928) deutero-quinticahlah = E100#^#####*#^#####100

(2929) trito-quinticahlah = E100#^#####*#^#####*#^#####100

(2930) teterto-quinticahlah = E100#^#####*#^#####*#^#####*#^#####100

(2931) pepto-quinticahlah = E100#^######5

(2932) exto-quinticahlah = E100#^######6

(2933) epto-quinticahlah = E100#^######7

(2934) ogdo-quinticahlah = E100#^######8

(2935) ento-quinticahlah = E100#^######9

(2936) dekato-quinticahlah = E100#^######10

...

(2937) isosto-quinticahlah = E100#^######20

(2938) trianto-quinticahlah = E100#^######30

(2939) saranto-quinticahlah = E100#^######40

(2940) peninto-quinticahlah = E100#^######50 *formally pentikosto-quinticahlah

(2941) exinto-quinticahlah = E100#^######60

(2942) ebdominto-quinticahlah = E100#^######70

(2943) ogdonto-quinticahlah = E100#^######80

(2944) eneninto-quinticahlah = E100#^######90

...

Sexticahlah

Regiment

Category 35

Members: 22

(2945 - 2966)

(2945) sexticahlah = E100#^######100 = E100#^#^(6)100 (comparable to ectossol)

We can also form (2946) ectoxxol = 100^6&10

(2947) grand sexticahlah = E100#^######100#2 = E100#^######(sexticahlah)

...

(2948) sextitrigahlah = E100#^######100#^######100

(2949) sextitergahlah = E100#^######100#^######100#^######100

...

(2950) deutero-sexticahlah = E100#^######*#^######100

(2951) trito-sexticahlah = E100#^######*#^######*#^######100

(2952) teterto-sexticahlah = E100#^######*#^######*#^######*#^######100

(2953) pepto-sexticahlah = E100(#^#^7)5

(2954) exto-sexticahlah = E100(#^#^7)6

(2955) epto-sexticahlah = E100(#^#^7)7

(2956) ogdo-sexticahlah = E100(#^#^7)8

(2957) ento-sexticahlah = E100(#^#^7)9

(2958) dekato-sexticahlah = E100(#^#^7)10

...

(2959) isosto-sexticahlah = E100(#^#^7)20

(2960) trianto-sexticahlah = E100(#^#^7)30

(2961) saranto-sexticahlah = E100(#^#^7)40

(2962) peninto-sexticahlah = E100(#^#^7)50 *formally pentikosto-sexticahlah

(2963) exinto-sexticahlah = E100(#^#^7)60

(2964) ebdominto-sexticahlah = E100(#^#^7)70

(2965) ogdonto-sexticahlah = E100(#^#^7)80

(2966) eneninto-sexticahlah = E100(#^#^7)90

...

Septicahlah

Regiment

Category 36

Members: 22

(2967 - 2988)

(2967) septicahlah = E100#^#######100 = E100(#^#^7)100 (comparable to zettossol)

We can also form (2968) zettoxxol = 100^7&10

(2969) grand septicahlah = E100(#^#^7)100#2 = E100(#^#^7)septicahlah

...

(2970) septitrigahlah = E100#^#######100#^#######100

(2971) septitergahlah = E100#^#######100#^#######100#^#######100

...

(2972) deutero-septicahlah = E100#^#######*#^#######100

(2973) trito-septicahlah = E100#^#######*#^#######*#^#######100

(2974) teterto-septicahlah = E100(#^#^8)4

(2975) pepto-septicahlah = E100(#^#^8)5

(2976) exto-septicahlah = E100(#^#^8)6

(2977) epto-septicahlah = E100(#^#^8)7

(2978) ogdo-septicahlah = E100(#^#^8)8

(2979) ento-septicahlah = E100(#^#^8)9

(2980) dekato-septicahlah = E100(#^#^8)10

...

(2981) isosto-septicahlah = E100(#^#^8)20

(2982) trianto-septicahlah = E100(#^#^8)30

(2983) saranto-septicahlah = E100(#^#^8)40

(2984) peninto-septicahlah = E100(#^#^8)50 *formally pentikosto-septicahlah

(2985) exinto-septicahlah = E100(#^#^8)60

(2986) ebdominto-septicahlah = E100(#^#^8)70

(2987) ogdonto-septicahlah = E100(#^#^8)80

(2988) eneninto-septicahlah = E100(#^#^8)90

...

Octicahlah

Regiment

Category 37

Members: 22

(2989 - 3010)

(2989) octicahlah = E100#^########100 = E100(#^#^8)100

( comparable to Bowers' yottossol )

We can form (2990) yottoxxol = 100^8&10

(2991) grand octicahlah = E100(#^#^8)100#2 = E100(#^#^8)octicahlah

...

(2992) octitrigahlah = E100#^########100#^########100

(2993) octitergahlah = E100#^########100#^########100#^########100

...

(2994) deutero-octicahlah = E100#^########*#^########100

(2995) trito-octicahlah = E100#^########*#^########*#^########100

(2996) teterto-octicahlah = E100(#^#^9)4

(2997) pepto-octicahlah = E100(#^#^9)5

(2998) exto-octicahlah = E100(#^#^9)6

(2999) epto-octicahlah = E100(#^#^9)7

(3000) ogdo-octicahlah = E100(#^#^9)8

(3001) ento-octicahlah = E100(#^#^9)9

(3002) dekato-octicahlah = E100(#^#^9)10

...

(3003) isosto-octicahlah = E100(#^#^9)20

(3004) trianto-octicahlah = E100(#^#^9)30

(3005) saranto-octicahlah = E100(#^#^9)40

(3006) peninto-octicahlah = E100(#^#^9)50 *formally pentikosto-octicahlah

(3007) exinto-octicahlah = E100(#^#^9)60

(3008) ebdominto-octicahlah = E100(#^#^9)70

(3009) ogdonto-octicahlah = E100(#^#^9)80

(3010) eneninto-octicahlah = E100(#^#^9)90

...

Nonicahlah

Regiment

Category 38

Members: 22

(3011 - 3032)

(3011) nonicahlah = E100(#^#^9)100

( comparable to Bowers' xennossol )

we can also form (3012) xennoxxol = 100^9&10

(3013) grand nonicahlah = E100(#^#^9)100#2 = E100(#^#^9)nonicahlah

...

(3014) nonitrigahlah = E100(#^#^9)100(#^#^9)100

(3015) nonitergahlah = E100(#^#^9)100(#^#^9)100(#^#^9)100

...

(3016) deutero-nonicahlah = E100(#^#^9)*(#^#^9)100 = E100(#^#^10)2

(3017) trito-nonicahlah = E100(#^#^9)*(#^#^9)*(#^#^9)100 = E100(#^#^10)3

(3018) teterto-nonicahlah = E100(#^#^9)*(#^#^9)*(#^#^9)*(#^#^9)100 = E100(#^#^10)4

(3019) pepto-nonicahlah = E100(#^#^10)5

(3020) exto-nonicahlah = E100(#^#^10)6

(3021) epto-nonicahlah = E100(#^#^10)7

(3022) ogdo-nonicahlah = E100(#^#^10)8

(3023) ento-nonicahlah = E100(#^#^10)9

(3024) dekato-nonicahlah = E100(#^#^10)10

...

(3025) isosto-nonicahlah = E100(#^#^10)20

(3026) trianto-nonicahlah = E100(#^#^10)30

(3027) saranto-nonicahlah = E100(#^#^10)40

(3028) peninto-nonicahlah = E100(#^#^10)50 *formally pentikosto-nonicahlah

(3029) exinto-nonicahlah = E100(#^#^10)60

(3030) ebdominto-nonicahlah = E100(#^#^10)70

(3031) ogdonto-nonicahlah = E100(#^#^10)80

(3032) eneninto-nonicahlah = E100(#^#^10)90

...

Decicahlah

Regiment

Category 39

Members: 39

(3033 - 3071)

(3033) decicahlah = E100(#^#^10)100

( comparable to Bowers' dimendecal )

We can also form (3034) dimendoxxol = 100^10&10

(3035) grand decicahlah = E100(#^#^10)100#2 = E100(#^#^10)decicahlah

...

(3036) decitrigahlah = E100(#^#^10)100(#^#^10)100

(3037) decitergahlah = E100(#^#^10)100(#^#^10)100(#^#^10)100

...

(3038) deutero-decicahlah = E100(#^#^10)*(#^#^10)100 = E100(#^#^11)2

(3039) trito-decicahlah = E100(#^#^10)*(#^#^10)*(#^#^10)100 = E100(#^#^11)3

(3040) teterto-decicahlah = E100(#^#^10)*(#^#^10)*(#^#^10)*(#^#^10)100 = E100(#^#^11)4

(3041) pepto-decicahlah = E100(#^#^11)5

(3042) exto-decicahlah = E100(#^#^11)6

(3043) epto-decicahlah = E100(#^#^11)7

(3044) ogdo-decicahlah = E100(#^#^11)8

(3045) ento-decicahlah = E100(#^#^11)9

(3046) dekato-decicahlah = E100(#^#^11)10

...

(3047) isosto-decicahlah = E100(#^#^11)20

(3048) trianto-decicahlah = E100(#^#^11)30

(3049) saranto-decicahlah = E100(#^#^11)40

(3050) peninto-decicahlah = E100(#^#^11)50 *formally pentikosto-decicahlah

(3051) exinto-decicahlah = E100(#^#^11)60

(3052) ebdominto-decicahlah = E100(#^#^11)70

(3053) ogdonto-decicahlah = E100(#^#^11)80

(3054) eneninto-decicahlah = E100(#^#^11)90

Let's wrap up the cases below #^#^# in this regiment. We can continue predictably with...

(3055) undecicahlah = E100#^#^#11

(3056) duodecicahlah = E100#^#^#12

(3057) tredecicahlah = E100#^#^#13

(3058) quattuordecicahlah = E100#^#^#14

(3059) quindecicahlah = E100#^#^#15

(3060) sexdecicahlah = E100#^#^#16

(3061) septendecicahlah = E100#^#^#17

(3062) octodecicahlah = E100#^#^#18

(3063) novemdecicahlah = E100#^#^#19

(3064) viginticahlah = E100#^#^#20

...

(3065) triginticahlah = E100#^#^#30

(3066) quadraginticahlah = E100#^#^#40

(3067) quinquaginticahlah = E100#^#^#50

(3068) sexaginticahlah = E100#^#^#60

(3069) septuaginticahlah = E100#^#^#70

(3070) octoginticahlah = E100#^#^#80

(3071) nonaginticahlah = E100#^#^#90

...

Godgathor

Regiment

Category 40

Members: 60

(3072 - 3131)

We now jump ahead to the next level of complexity. Eventually we would get numbers of the form E100#^####...####100 with an arbitrary row of #s. This itself can be truncated as "#^#". This takes us up to the next level of the cascade. Now we define:

(3072) godgathor = E100#^#^#100 = E100#^########## ... ##########100 w/100 #s in a row

This is roughly a X¹⁰⁰ array (100 dimensional array). Thus godgathor is comparable to Bowers' gongulus. For a number even closer to godgathor we can form (3073) gonguxxus = 100^100&10.

Just for fun, and to break the monotony, I'll now define some unusual numbers that don't fit the main scheme:

(3074) goober bunch = E100#^#¹⁰⁰*#^#¹⁰⁰*#^#¹⁰⁰* ... *#^#¹⁰⁰*#^#¹⁰⁰*#^#¹⁰⁰100 w/100 #^#¹⁰⁰s

and...

(3075) gibbering goober bunch = E100#^#^{goober bunch}*#^#^{goober bunch}* ... #^#^{goober bunch}*#^#^{goober bunch}100

w/goober bunch #^#^{goober bunch}s

Theses numbers are by necessity greater than the godgathor. Despite appearances however, these are not drastic improvements. It turns out that a goober bunch is less than E100#^#^#100#2,

(3076) grand godgathor, and the gibbering goober bunch is less than E100#^#^#100#3

(3077) grand grand godgathor, but all these numbers pale in comparison to what comes next...

We can attempt to define extensions within this group as well, following the previous examples. So let's define:

(3078) gotrigathor = E100#^#^#100#^#^#100

(3079) gotergathor = E100#^#^#100#^#^#100#^#^#100

(3080) goppegathor = E100#^#^#100#^#^#100#^#^#100#^#^#100

(3081) gohexgathor = E100#^#^#100#^#^#100#^#^#100#^#^#100#^#^#100 = E100#^#^#*#6

(3082) gohepgathor = E100#^#^#*#7

(3083) go-ahtgathor = E100#^#^#*#8

(3084) go-enngathor = E100#^#^#*#9

(3085) godekagathor = E100#^#^#*#10

Next we define:

(3086) deutero-godgathor = E100#^#^#*#^#^#100 = E100#^(#^#*#)2

(3087) trito-godgathor = E100#^#^#*#^#^#*#^#^#100 = E100#^(#^#*#)3

(3088) teterto-godgathor = E100#^#^#*#^#^#*#^#^#*#^#^#100 = E100#^(#^#*#)4

(3089) pepto-godgathor = E100#^(#^#*#)5

(3090) exto-godgathor = E100#^(#^#*#)6

(3091) epto-godgathor = E100#^(#^#*#)7

(3092) ogdo-godgathor = E100#^(#^#*#)8

(3093) ento-godgathor = E100#^(#^#*#)9

(3094) dekato-godgathor = E100#^(#^#*#)10

...

(3095) isosto-godgathor = E100#^(#^#*#)20

(3096) trianto-godgathor = E100#^(#^#*#)30

(3097) saranto-godgathor = E100#^(#^#*#)40

(3098) peninto-godgathor = E100#^(#^#*#)50 *formally pentikosto-godgathor

(3099) exinto-godgathor = E100#^(#^#*#)60

(3100) ebdominto-godgathor = E100#^(#^#*#)70

(3101) ogdonto-godgathor = E100#^(#^#*#)80

(3102) eneninto-godgathor = E100#^(#^#*#)90

(3103) hecato-godgathor = E100#^(#^#*#)100

( alternatively we may call this number (3104) godgathorfact )

Here we'll make a slight change to routine in order to get some finer detail. I'll define the following terms:

(3105) godgridgathor = E100#^(#^#*##)100

( alternatively (3106) godgathordeuterfact )

(3107) godkubikgathor = E100#^(#^#*###)100

( alternatively (3108) godgathortritofact )

(3109) godquarticgathor = E100#^(#^#*####)100

( alternatively (3110) godgathortetrifact )

...

(3111) godgathordeus = E100#^(#^#*#^#)100

(3112) hecato-godgathordeus = E100#^(#^#*#^#*#)100

(3113) godgridgathordeus = E100#^(#^#*#^#*##)100

(3114) godkubikgathordeus = E100#^(#^#*#^#*###)100

(3115) godquarticgathordeus = E100#^(#^#*#^#*####)100

...

(3116) godgathortruce = E100#^(#^#*#^#*#^#)100

(3117) godgathorquad = E100#^(#^#*#^#*#^#*#^#)100

(3118) godgathorquid = E100#^(#^#*#^#*#^#*#^#*#^#)100 = E100#^#^##5

(3119) godgathorsid = E100#^(#^#*#^#*#^#*#^#*#^#*#^#)100 = E100#^#^##6

(3120) godgathorseptuce = E100#^#^##7

(3121) godgathoroctuce = E100#^#^##8

(3122) godgathornonice = E100#^#^##9

(3123) godgathordecice = E100#^#^##10

...

(3124) godgathorvigintice = E100#^#^##20

(3125) godgathortrigintice = E100#^#^##30

(3126) godgathorquadragintice = E100#^#^##40

(3127) godgathorquinquagintice = E100#^#^##50

(3128) godgathorsexagintice = E100#^#^##60

(3129) godgathorseptuagintice = E100#^#^##70

(3130) godgathoroctogintice = E100#^#^##80

(3131) godgathornonagintice = E100#^#^##90

...

This brings us to the limits of the godgathor group

Gralgathor

Regiment

Category 41

Members: 67

(3132 - 3198)

Here is a really awesome number:

(3132) gralgathor = E100#^#^##100 =

E100#^(#^#*#^#*#^#*#^#*#^#* ... *#^#*#^#*#^#*#^#*#^#)100 w/100 #^#s

Even just expanding this number to the earliest use of the default rule (Rule 5) takes extremely long. First we would expand the last #^# within the parentheses into #####...##### w/100 #s. Next, we get a hash product of #^(#^#*#^#* ... *#^#*#⁹⁹)s.

ie.

E100#^(#^#*#^#* ... *#^#*#⁹⁹)*#^(#^#*#^#* ... *#^#*#⁹⁹)* ... #^(#^#*#^#* ... *#^#*#⁹⁹)100

w/100 #^(#^#*#^#* ... *#^#*#⁹⁹)s

Next only the last of these gets expanded into 100 #^(#^#*#^#* ... *#^#*#⁹⁸)s, then the last of these expands to #^(#^#*#^#* ... *#^#*#⁹⁷)s, etc. until we reach #^(#^#*#^#* ... *#^#) w/99 #^#s. The last #^# itself becomes #¹⁰⁰ and we get to do the whole process over again. Eventually all of these are expanded until we get just #^(#) or #^# which finally expands to ####...#### w/100 #s. Finally at this point we get to use rule 4 and the entire expression expands to 100 arguments. However, the last argument still has an extremely complex separator between them, and the default rule can only be used when the separator between the last two arguments is a proto-hyperion (#). Furthermore the very first cascader of the very first separator is still #^(#^#*#^#* ... *#^#*#⁹⁹). It will be an incredibly long time before everything is finally reduced back to 2 arguments and we solve for E100#^(#^#*#^#* ... *#^#*#⁹⁹)X, where X is some unfathomable number. At that point #^(#^#*#^#* ... *#^#*#⁹⁹) becomes a hash product of X #^(#^#*#^#* ... *#^#*#⁹⁸)s ... feel free to scream now...

(gralgathor is roughly equivalent to Bowers' bongulus, since a gralgathor is comparable to a X^X² array)

and of coarse, we're nowhere near done with these numbers. Next we create a family of gralgathor derivatives:

(3133) grand gralgathor = E100#^#^##100#2 = E100#^#^##gralgathor

(3134) grangol-carta-gralgathor = E100#^#^##100#100

(3135) gugold-carta-gralgathor = E100#^#^##100##100

(3136) throogol-carta-gralgathor = E100#^#^##100###100

(3137) tetroogol-carta-gralgathor = E100#^#^##100####100

(3138) godgahlah-carta-gralgathor = E100#^#^##100#^#100

(3139) gridgahlah-carta-gralgathor = E100#^#^##100#^##100

(3140) kubikahlah-carta-gralgathor = E100#^#^##100#^###100

(3141) quarticahlah-carta-gralgathor = E100#^#^##100#^####100

(3142) godgathor-carta-gralgathor = E100#^#^##100#^#^#100

...

(3143) graltrigathor = E100#^#^##100#^#^##100

(3144) graltergathor = E100#^#^##100#^#^##100#^#^##100

...

(3145) deutero-gralgathor = E100#^#^##*#^#^##100

(3146) trito-gralgathor = E100#^#^##*#^#^##*#^#^##100

(3147) teterto-gralgathor = E100#^#^##*#^#^##*#^#^##*#^#^##100 = E100#^(#^##*#)4

(3148) pepto-gralgathor = E100#^(#^##*#)5

(3149) exto-gralgathor = E100#^(#^##*#)6

(3150) epto-gralgathor = E100#^(#^##*#)7

(3151) ogdo-gralgathor = E100#^(#^##*#)8

(3152) ento-gralgathor = E100#^(#^##*#)9

(3153) dekato-gralgathor = E100#^(#^##*#)10

...

(3154) isosto-gralgathor = E100#^(#^##*#)20

(3155) trianto-gralgathor = E100#^(#^##*#)30

(3156) saranto-gralgathor = E100#^(#^##*#)40

(3157) peninto-gralgathor = E100#^(#^##*#)50 *formally pentikosto-gralgathor

(3158) exinto-gralgathor = E100#^(#^##*#)60

(3159) ebdominto-gralgathor = E100#^(#^##*#)70

(3160) ogdonto-gralgathor = E100#^(#^##*#)80

(3161) eneninto-gralgathor = E100#^(#^##*#)90

(3162) hecato-gralgathor = E100#^(#^##*#)100

( alternatively (3163) gralgathorfact )

...

(3164) gralgridgathor = E100#^(#^##*##)100

( alternatively (3165) gralgathordeuterfact )

(3166) gralkubikgathor = E100#^(#^##*###)100

( alternatively (3167) gralgathortritofact )

(3168) gralquarticgathor = E100#^(#^##*####)100

( alternatively (3169) gralgathortetrifact )

...

(3170) gralgodgathgathor = E100#^(#^##*#^#)100

(3171) gralgodgathordeusgathor = E100#^(#^##*#^#*#^#)100

(3172) gralgodgathortrucegathor = E100#^(#^##*#^#*#^#*#^#)100

(3173) gralgodgathorquadgathor = E100#^(#^##*#^#*#^#*#^#*#^#)100 = E100#^(#^##*#^##)4

(3174) gralgodgathorquidgathor = E100#^(#^##*#^##)5

(3175) gralgodgathorsidgathor = E100#^(#^##*#^##)6

(3176) gralgodgathorseptucegathor = E100#^(#^##*#^##)7

(3177) gralgodgathoroctucegathor = E100#^(#^##*#^##)8

(3178) gralgodgathornonicegathor = E100#^(#^##*#^##)9

(3179) gralgodgathordecicegathor = E100#^(#^##*#^##)10

...

(3180) gralgodgathorviginticegathor = E100#^(#^##*#^##)20

...

(3181) gralgodgathorquinquaginticegathor = E100#^(#^##*#^##)50

...

(3182) gralgathordeus = E100#^(#^##*#^##)100 = E100#^#^###2

(3183) gralgathortruce = E100#^(#^##*#^##*#^##)100 = E100#^#^###3

(3184) gralgathorquad = E100#^(#^##*#^##*#^##*#^##)100 = E100#^#^###4

(3185) gralgathorquid = E100#^#^###5

(3186) gralgathorsid = E100#^#^###6

(3187) gralgathorseptuce = E100#^#^###7

(3188) gralgathoroctuce = E100#^#^###8

(3189) gralgathornonice = E100#^#^###9

(3190) gralgathordecice = E100#^#^###10

...

(3191) gralgathorvigintice = E100#^#^###20

(3192) gralgathortrigintice = E100#^#^###30

(3193) gralgathorquadragintice = E100#^#^###40

(3194) gralgathorquinquagintice = E100#^#^###50

(3195) gralgathorsexagintice = E100#^#^###60

(3196) gralgathorseptuagintice = E100#^#^###70

(3197) gralgathoroctogintice = E100#^#^###80

(3198) gralgathornonagintice = E100#^#^###90

...

Thraelgathor

Regiment

Category 42

Members: 90

(3199 - 3288)

And the numbers just keep getting more insane... next up is a thraelgathor:

(3199) thraelgathor = E100#^#^###100 (comparable to Bowers' trongulus)

(3200) grand thraelgathor = E100#^#^###100#2 = E100#^#^###thraelgathor

...

(3201) grangol-carta-thraelgathor = E100#^#^###100#100

(3202) gugold-carta-thraelgathor = E100#^#^###100##100

(3203) throogol-carta-thraelgathor = E100#^#^###100###100

(3204) tetroogol-carta-thraelgathor = E100#^#^###100####100

...

(3205) godgahlah-carta-thraelgathor = E100#^#^###100#^#100

(3206) gridgahlah-carta-thraelgathor = E100#^#^###100#^##100

(3207) kubikahlah-carta-thraelgathor = E100#^#^###100#^###100

(3208) quarticahlah-carta-thraelgathor = E100#^#^###100#^####100

...

(3209) godgathor-carta-thraelgathor = E100#^#^###100#^#^#100

(3210) gralgathor-carta-thraelgathor = E100#^#^###100#^#^##100

...

(3211) thraeltrigathor = E100#^#^###100#^#^###100

(3212) thraeltergathor = E100#^#^###100#^#^###100#^#^###100 = E100#^#^###*#4

(3213) thraelpeggathor = E100#^#^###*#5

(3214) thraelhexgathor = E100#^#^###*#6

(3215) thraelhepgathor = E100#^#^###*#7

(3216) thrael-ahtgathor = E100#^#^###*#8

(3217) thrael-enngathor = E100#^#^###*#9

(3218) thraeldekagathor = E100#^#^###*#10

...

(3219) deutero-thraelgathor = E100#^#^###*#^#^###100

(3220) trito-thraelgathor = E100#^#^###*#^#^###*#^#^###100

(3221) teterto-thraelgathor

= E100#^#^###*#^#^###*#^#^###*#^#^###100

= E100#^(#^###*#)4

(3222) pepto-thraelgathor = E100#^(#^###*#)5

(3223) exto-thraelgathor = E100#^(#^###*#)6

(3224) epto-thraelgathor = E100#^(#^###*#)7

(3225) ogdo-thraelgathor = E100#^(#^###*#)8

(3226) ento-thraelgathor = E100#^(#^###*#)9

(3227) dekato-thraelgathor = E100#^(#^###*#)10

...

(3228) isosto-thraelgathor = E100#^(#^###*#)20

(3229) trianto-thraelgathor = E100#^(#^###*#)30

(3230) saranto-thraelgathor = E100#^(#^###*#)40

(3231) peninto-thraelgathor = E100#^(#^###*#)50 *formally pentikosto-thraelgathor

(3232) exinto-thraelgathor = E100#^(#^###*#)60

(3233) ebdominto-thraelgathor = E100#^(#^###*#)70

(3234) ogdonto-thraelgathor = E100#^(#^###*#)80

(3235) eneninto-thraelgathor = E100#^(#^###*#)90

(3236) hecato-thraelgathor = E100#^(#^###*#)100

( alternatively (3237) thraelgathorfact )

...

(3238) thraelgridgathor = E100#^(#^###*##)100

( alternatively (3239) thraelgathordeuterfact )

(3240) thraelkubikgathor = E100#^(#^###*###)100

( alternatively (3241) thraelgathortritofact )

(3242) thraelquarticgathor = E100#^(#^###*####)100

( alternatively (3243) thraelgathortetrifact )

...

(3244) thraelgodgathgathor = E100#^(#^###*#^#)100

(3245) thraelgodgathordeusgathor = E100#^(#^###*#^#*#^#)100

(3246) thraelgodgathortrucegathor = E100#^(#^###*#^#*#^#*#^#)100

(3247) thraelgodgathorquadgathor

= E100#^(#^###*#^#*#^#*#^#*#^#)100

= E100#^(#^###*#^##)4

(3248) thraelgodgathorquidgathor = E100#^(#^###*#^##)5

(3249) thraelgodgathorsidgathor = E100#^(#^###*#^##)6

(3250) thraelgodgathorseptucegathor = E100#^(#^###*#^##)7

(3251) thraelgodgathoroctucegathor = E100#^(#^###*#^##)8

(3252) thraelgodgathornonicegathor = E100#^(#^###*#^##)9

(3253) thraelgodgathordecicegathor = E100#^(#^###*#^##)10

...

(3254) thraelgodgathorviginticegathor = E100#^(#^###*#^##)20

...

(3255) thraelgodgathorquinquaginticegathor = E100#^(#^###*#^##)50

...

(3256) thraelgralgathgathor = E100#^(#^###*#^##)100

(3257) thraelgralgodgathgathgathor = E100#^(#^###*#^##*#^#)100

(3258) thraelgralgodgathordeusgathgathor = E100#^(#^###*#^##*#^#*#^#)100

...

(3259) thraelgralgathordeusgathor = E100#^(#^###*#^##*#^##)100

(3260) thraelgralgathortrucegathor = E100#^(#^###*#^##*#^##*#^##)100

(3261) thraelgralgathorquadgathor

= E100#^(#^###*#^##*#^##*#^##*#^##)100

= E100#^(#^###*#^###)4

(3262) thraelgralgathorquidgathor = E100#^(#^###*#^###)5

(3263) thraelgralgathorsidgathor = E100#^(#^###*#^###)6

(3264) thraelgralgathorseptucegathor = E100#^(#^###*#^###)7

(3265) thraelgralgathoroctucegathor = E100#^(#^###*#^###)8

(3266) thraelgralgathornonicegathor = E100#^(#^###*#^###)9

(3267) thraelgralgathordecicegathor = E100#^(#^###*#^###)10

...

(3268) thraelgralgathorviginticegathor = E100#^(#^###*#^###)20

...

(3269) thraelgralgathorquinquaginticegathor = E100#^(#^###*#^###)50

...

(3270) thraelgathordeus = E100#^(#^###*#^###)100

(3271) thraelgodgathgathordeus = E100#^(#^###*#^###*#^#)100

(3272) thraelgralgathgathordeus = E100#^(#^###*#^###*#^##)100

...

(3273) thraelgathortruce = E100#^(#^###*#^###*#^###)100

(3274) thraelgathorquad = E100#^(#^###*#^###*#^###*#^###)100 = E100#^#^####4

(3275) thraelgathorquid = E100#^#^####5

(3276) thraelgathorsid = E100#^#^####6

(3277) thraelgathorseptuce = E100#^#^####7

(3278) thraelgathoroctuce = E100#^#^####8

(3279) thraelgathornonice = E100#^#^####9

(3280) thraelgathordecice = E100#^#^####10

...

(3281) thraelgathorvigintice = E100#^#^####20

(3282) thraelgathortrigintice = E100#^#^####30

(3283) thraelgathorquadragintice = E100#^#^####40

(3284) thraelgathorquinquagintice = E100#^#^####50

(3285) thraelgathorsexagintice = E100#^#^####60

(3286) thraelgathorseptuagintice = E100#^#^####70

(3287) thraelgathoroctogintice = E100#^#^####80

(3288) thraelgathornonagintice = E100#^#^####90

...

Terinngathor

Regiment

Category 43

Members: 109

(3289 - 3397)

It's fairly routine at this point. First we establish a new root "terinn", and then it follows:

(3289) terinngathor = E100#^#^####100 (comparable to Bowers' quadrongulus)

(3290) grand terinngathor = E100#^#^####100#2 = E100#^#^####terinngathor

...

(3291) grangol-carta-terinngathor = E100#^#^####100#100

(3292) gugold-carta-terinngathor = E100#^#^####100##100

(3293) throogol-carta-terinngathor = E100#^#^####100###100

(3294) tetroogol-carta-terinngathor = E100#^#^####100####100

...

(3295) godgahlah-carta-terinngathor = E100#^#^####100#^#100

(3296) grigahlah-carta-terinngathor = E100#^#^####100#^##100

(3297) kubikahlah-carta-terinngathor = E100#^#^####100#^###100

(3298) quarticahlah-carta-terinngathor = E100#^#^####100#^####100

...

(3299) godgathor-carta-terinngathor = E100#^#^####100#^#^#100

(3300) gralgathor-carta-terinngathor = E100#^#^####100#^#^##100

(3301) thraelgathor-carta-terinngathor = E100#^#^####100#^#^###100

...

(3302) terinntrigathor = E100#^#^####100#^#^####100

(3303) terinntergathor = E100#^#^####100#^#^####100#^#^####100

= E100#^#^####*#4

(3304) terinnpeggathor = E100#^#^####*#5

(3305) terinnhexgathor = E100#^#^####*#6

(3306) terinnhepgathor = E100#^#^####*#7

(3307) terinn-ahtgathor = E100#^#^####*#8

(3308) terinn-enngathor = E100#^#^####*#9

(3309) terinndekagathor = E100#^#^####*#10

...

(3310) terinngathor-by-hyperion = E100#^#^####*#100

(3311) terinngathor-by-deutero-hyperion = E100#^#^####*##100

(3312) terinngathor-by-trito-hyperion = E100#^#^####*###100

(3313) terinngathor-by-teterto-hyperion = E100#^#^####*####100

...

(3314) terinngathor-by-godgahlah = E100#^#^####*#^#100

(3315) terinngathor-by-gridgahlah = E100#^#^####*#^##100

(3316) terinngathor-by-kubikahlah = E100#^#^####*#^###100

(3317) terinngathor-by-quarticahlah = E100#^#^####*#^####100

...

(3318) terinngathor-by-godgathor = E100#^#^####*#^#^#100

(3319) terinngathor-by-gralgathor = E100#^#^####*#^#^##100

(3320) terinngathor-by-thraelgathor = E100#^#^####*#^#^###100

...

(3321) deutero-terinngathor = E100#^#^####*#^#^####100

(3322) deutero-terinngathor-by-hyperion = E100#^#^####*#^#^####*#100

(3323) deutero-terinngathor-by-deutero-hyperion = E100#^#^####*#^#^####*##100

(3324) deutero-terinngathor-by-trito-hyperion = E100#^#^####*#^#^####*###100

(3325) deutero-terinngathor-by-teterto-hyperion = E100#^#^####*#^#^####*####100

...

(3326) deutero-terinngathor-by-godgahlah = E100#^#^####*#^#^####*#^#100

(3327) deutero-terinngathor-by-gridgahlah = E100#^#^####*#^#^####*#^##100

(3328) deutero-terinngathor-by-kubikahlah = E100#^#^####*#^#^####*#^###100

(3329) deutero-terinngathor-by-quarticahlah = E100#^#^####*#^#^####*#^####100

...

(3330) deutero-terinngathor-by-godgathor = E100#^#^####*#^#^####*#^#^#100

(3331) deutero-terinngathor-by-gralgathor = E100#^#^####*#^#^####*#^#^##100

(3332) deutero-terinngathor-by-thraelgathor = E100#^#^####*#^#^####*#^#^###100

...

(3333) trito-terinngathor = E100#^#^####*#^#^####*#^#^####100

(3334) teterto-terinngathor

= E100#^#^####*#^#^####*#^#^####*#^#^####100

= E100#^(#^####*#)4

(3335) pepto-terinngathor = E100#^(#^####*#)5

(3336) exto-terinngathor = E100#^(#^####*#)6

(3337) epto-terinngathor = E100#^(#^####*#)7

(3338) ogdo-terinngathor = E100#^(#^####*#)8

(3339) ento-terinngathor = E100#^(#^####*#)9

(3340) dekato-terinngathor = E100#^(#^####*#)10

...

(3341) isosto-terinngathor = E100#^(#^####*#)20

(3342) trianto-terinngathor = E100#^(#^####*#)30

(3343) saranto-terinngathor = E100#^(#^####*#)40

(3344) peninto-terinngathor = E100#^(#^####*#)50 *formally pentikosto-terinngathor

(3345) exinto-terinngathor = E100#^(#^####*#)60

(3346) ebdominto-terinngathor = E100#^(#^####*#)70

(3347) ogdonto-terinngathor = E100#^(#^####*#)80

(3348) eneninto-terinngathor = E100#^(#^####*#)90

(3349) hecato-terinngathor = E100#^(#^####*#)100

( alternatively (3350) terinngathorfact )

...

(3351) terinngridgathor = E100#^(#^####*##)100

( alternatively (3352) terinngathordeuterfact )

(3353) terinnkubikgathor = E100#^(#^####*###)100

( alternatively (3354) terinngathortritofact )

(3355) terinnquarticgathor = E100#^(#^####*####)100 = E100#^(#^####*#^#)4

( alternatively (3356) terinngathortetrifact )

(3357) terinnquinticgathor = E100#^(#^####*#^#)5

( alternatively (3358) terinngathorpentifact )

(3359) terinnsexticgathor = E100#^(#^####*#^#)6

( alternatively (3360) terinngathorhexifact )

(3361) terinnsepticgathor = E100#^(#^####*#^#)7

( alternatively (3362) terinngathorheptifact )

(3363) terinnocticgathor = E100#^(#^####*#^#)8

( alternatively (3364) terinngathorogdifact )

(3365) terinnonicgathor = E100#^(#^####*#^#)9

( alternatively (3366) terinngathorennifact )

(3367) terinndecicgathor = E100#^(#^####*#^#)10

( alternatively (3368) terinngathordekifact )

...

(3369) terinnviginticgathor = E100#^(#^####*#^#)20

( alternatively (3370) terinngathor-isosifact )

...

(3371) terinnquinquaginticgathor = E100#^(#^####*#^#)50

( alternatively (3372) terinngathor-pentikosifact )

...

(3373) terinngodgathgathor = E100#^(#^####*#^#)100

(3374) terinngodgathordeusgathor = E100#^(#^####*#^#*#^#)100

...

(3375) terinngralgathgathor = E100#^(#^####*#^##)100

(3376) terinnthraelgathgathor = E100#^(#^####*#^###)100

...

(3377) terinngathordeus = E100#^(#^####*#^####)100

(3378) terinngodgathgathordeus = E100#^(#^####*#^####*#^#)100

(3379) terinngodgathordeusgathordeus = E100#^(#^####*#^####*#^#*#^#)100

...

(3380) terinngralgathgathordeus = E100#^(#^####*#^####*#^##)100

(3381) terinnthraelgathgathordeus = E100#^(#^####*#^####*#^###)100

...

(3382) terinngathortruce = E100#^(#^####*#^####*#^####)100

(3383) terinngathorquad

= E100#^(#^####*#^####*#^####*#^####)100

= E100(#^#^#^5)4

(3384) terinngathorquid = E100(#^#^#^5)5

(3385) terinngathorsid = E100(#^#^#^5)6

(3386) terinngathorseptuce = E100(#^#^#^5)7

(3387) terinngathoroctuce = E100(#^#^#^5)8

(3388) terinngathornonice = E100(#^#^#^5)9

(3389) terinngathordecice = E100(#^#^#^5)10

...

(3390) terinngathorvigintice = E100(#^#^#^5)20

(3391) terinngathortrigintice = E100(#^#^#^5)30

(3392) terinngathorquadragintice = E100(#^#^#^5)40

(3393) terinngathorquinquagintice = E100(#^#^#^5)50

(3394) terinngathorsexagintice = E100(#^#^#^5)60

(3395) terinngathorseptuagintice = E100(#^#^#^5)70

(3396) terinngathoroctogintice = E100(#^#^#^5)80

(3397) terinngathornonagintice = E100(#^#^#^5)90

...

Pentaelgathor

Regiment

Category 44

Members: 49

(3398 - 3446)

Next up is the Pentaelgathor Regiment, formed using the new root pentael-.

(3398) pentaelgathor = E100#^#^#####100

( formally pehaelgathor )

(3399) grand pentaelgathor = E100(#^#^#^5)100#2 = E100(#^#^#^5)pentaelgathor

...

(3400) grangol-carta-pentaelgathor = E100(#^#^#^5)100#100

...

(3401) pentaeltrigathor = E100(#^#^#^5)100(#^#^#^5)100

(3402) pentaeltergathor = E100(#^#^#^5)100(#^#^#^5)100(#^#^#^5)100

...

(3403) pentaelgathor-by-hyperion = E100(#^#^#^5)*#100

...

(3404) pentaelgathor-by-godgahlah = E100(#^#^#^5)*#^#100

...

(3405) pentaelgathor-by-godgathor = E100(#^#^#^5)*#^#^#100

(3406) pentaelgathor-by-gralgathor = E100(#^#^#^5)*#^#^##100

(3407) pentaelgathor-by-thraelgathor = E100(#^#^#^5)*#^#^###100

(3408) pentaelgathor-by-terinngathor = E100(#^#^#^5)*#^#^####100

...

(3409) deutero-pentaelgathor = E100(#^#^#^5)*(#^#^#^5)100

(3410) trito-pentaelgathor = E100(#^#^#^5)*(#^#^#^5)*(#^#^#^5)100

(3411) teterto-pentaelgathor = E100(#^#^#^5)*(#^#^#^5)*(#^#^#^5)*(#^#^#^5)100

(3412) pepto-pentaelgathor = E100#^(#^#^5*#)5

(3413) exto-pentaelgathor = E100#^(#^#^5*#)6

(3414) epto-pentaelgathor = E100#^(#^#^5*#)7

(3415) ogdo-pentaelgathor = E100#^(#^#^5*#)8

(3416) ento-pentaelgathor = E100#^(#^#^5*#)9

(3417) dekato-pentaelgathor = E100#^(#^#^5*#)10

...

(3418) hecato-pentaelgathor = E100#^(#^#^5*#)100

( alternatively (3419) pentaelgathorfact )

(3420) pentaelgridgathor = E100#^(#^#^5*##)100

( alternatively (3421) pentaelgathordeuterfact )

(3422) pentaelkubikgathor = E100#^(#^#^5*###)100

( alternatively (3423) pentaelgathortritofact )

(3424) pentaelquarticgathor = E100#^(#^#^5*####)100

( alternatively (3425) pentaelgathortetrifact )

...

(3426) pentaelgodgathgathor = E100#^(#^#^5*#^#)100

(3427) pentaelgralgathgathor = E100#^(#^#^5*#^##)100

(3428) pentaelthraelgathgathor = E100#^(#^#^5*#^###)100

(3429) pentaelterinngathgathor = E100#^(#^#^5*#^####)100

...

(3430) pentaelgathordeus = E100#^(#^#^5*#^#^5)100

(3431) pentaelgathortruce = E100#^(#^#^5*#^#^5*#^#^5)100

(3432) pentaelgathorquad = E100#^(#^#^5*#^#^5*#^#^5*#^#^5)100 = E100(#^#^#^6)4

(3433) pentaelgathorquid = E100(#^#^#^6)5

(3434) pentaelgathorsid = E100(#^#^#^6)6

(3435) pentaelgathorseptuce = E100(#^#^#^6)7

(3436) pentaelgathoroctuce = E100(#^#^#^6)8

(3437) pentaelgathornonice = E100(#^#^#^6)9

(3438) pentaelgathordecice = E100(#^#^#^6)10

...

(3439) pentaelgathorvigintice = E100(#^#^#^6)20

(3440) pentaelgathortrigintice = E100(#^#^#^6)30

(3441) pentaelgathorquadragintice = E100(#^#^#^6)40

(3442) pentaelgathorquinquagintice = E100(#^#^#^6)50

(3443) pentaelgathorsexagintice = E100(#^#^#^6)60

(3444) pentaelgathorseptuagintice = E100(#^#^#^6)70

(3445) pentaelgathoroctogintice = E100(#^#^#^6)80

(3446) pentaelgathornonagintice = E100(#^#^#^6)90

...

Hexaelgathor

Regiment

Category 45

Members: 71

(3447 - 3517)

Next we introduce the hexael- root:

(3447) hexaelgathor = E100#^#^######100 = E100(#^#^#^6)100

(3448) grand hexaelgathor = E100(#^#^#^6)100#2 = E100(#^#^#^6)hexaelgathor

(3449) grangol-carta-hexaelgathor = E100(#^#^#^6)100#100

(3450) godgahlah-carta-hexaelgathor = E100(#^#^#^6)100#^#100

(3451) godgathor-carta-hexaelgathor = E100(#^#^#^6)100#^#^#100

(3452) gralgathor-carta-hexaelgathor = E100(#^#^#^6)100#^#^##100

(3453) thraelgathor-carta-hexaelgathor = E100(#^#^#^6)100#^#^###100

(3454) terinngathor-carta-hexaelgathor = E100(#^#^#^6)100#^#^####100

(3455) pentaelgathor-carta-hexaelgathor = E100(#^#^#^6)100(#^#^#^5)100

...

(3456) hexaeltrigathor = E100(#^#^#^6)100(#^#^#^6)100

(3457) hexaeltergathor = E100(#^#^#^6)100(#^#^#^6)100(#^#^#^6)100 = E100(#^#^#^6)*#4

(3458) hexaelpeggathor = E100(#^#^#^6)*#5

(3459) hexaelhexgathor = E100(#^#^#^6)*#6

(3460) hexaelhepgathor = E100(#^#^#^6)*#7

(3461) hexael-ahtgathor = E100(#^#^#^6)*#8

(3462) hexael-enngathor = E100(#^#^#^6)*#9

(3463) hexaeldekagathor = E100(#^#^#^6)*#10

...

(3464) hexaelgathor-by-hyperion = E100(#^#^#^6)*#100

...

(3465) hexaelgathor-by-godgahlah = E100(#^#^#^6)*#^#100

(3466) hexaelgathor-by-godgathor = E100(#^#^#^6)*#^#^#100

(3467) hexaelgathor-by-gralgathor = E100(#^#^#^6)*#^#^##100

(3468) hexaelgathor-by-thraelgathor = E100(#^#^#^6)*#^#^###100

(3469) hexaelgathor-by-terinngathor = E100(#^#^#^6)*#^#^####100

(3470) hexaelgathor-by-pentaelgathor = E100(#^#^#^6)*(#^#^#^5)100

...

(3471) deutero-hexaelgathor = E100(#^#^#^6)*(#^#^#^6)100

(3472) trito-hexaelgathor = E100(#^#^#^6)*(#^#^#^6)*(#^#^#^6)100

(3473) teterto-hexaelgathor

= E100(#^#^#^6)*(#^#^#^6)*(#^#^#^6)*(#^#^#^6)100

= E100#^(#^#^6*#)4

(3474) pepto-hexaelgathor = E100#^(#^#^6*#)5

(3475) exto-hexaelgathor = E100#^(#^#^6*#)6

(3476) epto-hexaelgathor = E100#^(#^#^6*#)7

(3477) ogdo-hexaelgathor = E100#^(#^#^6*#)8

(3478) ento-hexaelgathor = E100#^(#^#^6*#)9

(3479) dekato-hexaelgathor = E100#^(#^#^6*#)10

...

(3480) isosto-hexaelgathor = E100#^(#^#^6*#)20

(3481) trianto-hexaelgathor = E100#^(#^#^6*#)30

(3482) saranto-hexaelgathor = E100#^(#^#^6*#)40

(3483) peninto-hexaelgathor = E100#^(#^#^6*#)50 *formally pentikosto-hexaelgathor

(3484) exinto-hexaelgathor = E100#^(#^#^6*#)60

(3485) ebdominto-hexaelgathor = E100#^(#^#^6*#)70

(3486) ogdonto-hexaelgathor = E100#^(#^#^6*#)80

(3487) eneninto-hexaelgathor = E100#^(#^#^6*#)90

...

(3488) hecato-hexaelgathor = E100#^(#^#^6*#)100

( alternatively (3489) hexaelgathorfact )

(3490) hexaelgridgathor = E100#^(#^#^6*##)100

( alternatively (3491) hexaelgathordeuterfact )

(3492) hexaelkubikgathor = E100#^(#^#^6*###)100

( alternatively (3493) hexaelgathortritofact )

(3494) hexaelquarticgathor = E100#^(#^#^6*####)100

( alternatively (3495) hexaelgathortetrifact )

...

(3496) hexaelgodgathgathor = E100#^(#^#^6*#^#)100

(3497) hexaelgralgathgathor = E100#^(#^#^6*#^##)100

(3498) hexaelthraelgathgathor = E100#^(#^#^6*#^###)100

(3499) hexaelterinngathgathor = E100#^(#^#^6*#^####)100

(3500) hexaelpentaelgathgathor = E100#^(#^#^6*#^#^5)100

...

(3501) hexaelgathordeus = E100#^(#^#^6*#^#^6)100

(3502) hexaelgathortruce = E100#^(#^#^6*#^#^6*#^#^6)100

(3503) hexaelgathorquad = E100#^(#^#^6*#^#^6*#^#^6*#^#^6)100 = E100(#^#^#^7)4

(3504) hexaelgathorquid = E100(#^#^#^7)5

(3505) hexaelgathorsid = E100(#^#^#^7)6

(3506) hexaelgathorseptuce = E100(#^#^#^7)7

(3507) hexaelgathoroctuce = E100(#^#^#^7)8

(3508) hexaelgathornonice = E100(#^#^#^7)9

(3509) hexaelgathordecice = E100(#^#^#^7)10

...

(3510) hexaelgathorvigintice = E100(#^#^#^7)20

(3511) hexaelgathortrigintice = E100(#^#^#^7)30

(3512) hexaelgathorquadragintice = E100(#^#^#^7)40

(3513) hexaelgathorquinquagintice = E100(#^#^#^7)50

(3514) hexaelgathorsexagintice = E100(#^#^#^7)60

(3515) hexaelgathorseptuagintice = E100(#^#^#^7)70

(3516) hexaelgathoroctogintice = E100(#^#^#^7)80

(3517) hexaelgathornonagintice = E100(#^#^#^7)90

...

Heptaelgathor

Regiment

Category 46

Members: 74

(3518 - 3591)

Next we introduce the heptael- root:

(3518) heptaelgathor = E100#^#^#######100 = E100(#^#^#^7)100

(3519) grand heptaelgathor = E100(#^#^#^7)100#2 = E100(#^#^#^7)heptaelgathor

(3520) grangol-carta-heptaelgathor = E100(#^#^#^7)100#100

(3521) godgahlah-carta-heptaelgathor = E100(#^#^#^7)100#^#100

(3522) godgathor-carta-heptaelgathor = E100(#^#^#^7)100#^#^#100

(3523) gralgathor-carta-heptaelgathor = E100(#^#^#^7)100#^#^##100

(3524) thraelgathor-carta-heptaelgathor = E100(#^#^#^7)100#^#^###100

(3525) terinngathor-carta-heptaelgathor = E100(#^#^#^7)100#^#^####100

(3526) pentaelgathor-carta-heptaelgathor = E100(#^#^#^7)100(#^#^#^5)100

(3527) hexaelgathor-carta-heptaelgathor = E100(#^#^#^7)100(#^#^#^6)100

...

(3528) heptaeltrigathor = E100(#^#^#^7)100(#^#^#^7)100

(3529) heptaeltergathor = E100(#^#^#^7)100(#^#^#^7)100(#^#^#^7)100 = E100(#^#^#^7)*#4

(3530) heptaelpeggathor = E100(#^#^#^7)*#5

(3531) heptaelhexgathor = E100(#^#^#^7)*#6

(3532) heptaelhepgathor = E100(#^#^#^7)*#7

(3533) heptael-ahtgathor = E100(#^#^#^7)*#8

(3534) heptael-enngathor = E100(#^#^#^7)*#9

(3535) heptaeldekagathor = E100(#^#^#^7)*#10

...

(3536) heptaelgathor-by-hyperion = E100(#^#^#^7)*#100

...

(3537) heptaelgathor-by-godgahlah = E100(#^#^#^7)*#^#100

(3538) heptaelgathor-by-godgathor = E100(#^#^#^7)*#^#^#100

(3539) heptaelgathor-by-gralgathor = E100(#^#^#^7)*#^#^##100

(3540) heptaelgathor-by-thraelgathor = E100(#^#^#^7)*#^#^###100

(3541) heptaelgathor-by-terinngathor = E100(#^#^#^7)*#^#^####100

(3542) heptaelgathor-by-pentaelgathor = E100(#^#^#^7)*(#^#^#^5)100

(3543) heptaelgathor-by-hexaelgathor = E100(#^#^#^7)*(#^#^#^6)100

...

(3544) deutero-heptaelgathor = E100(#^#^#^7)*(#^#^#^7)100

(3545) trito-heptaelgathor = E100(#^#^#^7)*(#^#^#^7)*(#^#^#^7)100

(3546) teterto-heptaelgathor

= E100(#^#^#^7)*(#^#^#^7)*(#^#^#^7)*(#^#^#^7)100

= E100#^(#^#^7*#)4

(3547) pepto-heptaelgathor = E100#^(#^#^7*#)5

(3548) exto-heptaelgathor = E100#^(#^#^7*#)6

(3549) epto-heptaelgathor = E100#^(#^#^7*#)7

(3550) ogdo-heptaelgathor = E100#^(#^#^7*#)8

(3551) ento-heptaelgathor = E100#^(#^#^7*#)9

(3552) dekato-heptaelgathor = E100#^(#^#^7*#)10

...

(3553) isosto-heptaelgathor = E100#^(#^#^7*#)20

(3554) trianto-heptaelgathor = E100#^(#^#^7*#)30

(3555) saranto-heptaelgathor = E100#^(#^#^7*#)40

(3556) peninto-heptaelgathor = E100#^(#^#^7*#)50 *formally pentikosto-heptaelgathor

(3557) exinto-heptaelgathor = E100#^(#^#^7*#)60

(3558) ebdominto-heptaelgathor = E100#^(#^#^7*#)70

(3559) ogdonto-heptaelgathor = E100#^(#^#^7*#)80

(3560) eneninto-heptaelgathor = E100#^(#^#^7*#)90

...

(3561) hecato-heptaelgathor = E100#^(#^#^7*#)100

( alternatively (3562) heptaelgathorfact )

(3563) heptaelgridgathor = E100#^(#^#^7*##)100

( alternatively (3564) heptaelgathordeuterfact )

(3565) heptaelkubikgathor = E100#^(#^#^7*###)100

( alternatively (3566) heptaelgathortritofact )

(3567) heptaelquarticgathor = E100#^(#^#^7*####)100

( alternatively (3568) heptaelgathortetrifact )

...

(3569) heptaelgodgathgathor = E100#^(#^#^7*#^#)100

(3570) heptaelgralgathgathor = E100#^(#^#^7*#^##)100

(3571) heptaelthraelgathgathor = E100#^(#^#^7*#^###)100

(3572) heptaelterinngathgathor = E100#^(#^#^7*#^####)100

(3573) heptaelpentaelgathgathor = E100#^(#^#^7*#^#^5)100

(3574) heptaelhexaelgathgathor = E100#^(#^#^7*#^#^6)100

...

(3575) heptaelgathordeus = E100#^(#^#^7*#^#^7)100

(3576) heptaelgathortruce = E100#^(#^#^7*#^#^7*#^#^7)100

(3577) heptaelgathorquad = E100#^(#^#^7*#^#^7*#^#^7*#^#^7)100 = E100(#^#^#^8)4

(3578) heptaelgathorquid = E100(#^#^#^8)5

(3579) heptaelgathorsid = E100(#^#^#^8)6

(3580) heptaelgathorseptuce = E100(#^#^#^8)7

(3581) heptaelgathoroctuce = E100(#^#^#^8)8

(3582) heptaelgathornonice = E100(#^#^#^8)9

(3583) heptaelgathordecice = E100(#^#^#^8)10

...

(3584) heptaelgathorvigintice = E100(#^#^#^8)20

(3585) heptaelgathortrigintice = E100(#^#^#^8)30

(3586) heptaelgathorquadragintice = E100(#^#^#^8)40

(3587) heptaelgathorquinquagintice = E100(#^#^#^8)50

(3588) heptaelgathorsexagintice = E100(#^#^#^8)60

(3589) heptaelgathorseptuagintice = E100(#^#^#^8)70

(3590) heptaelgathoroctogintice = E100(#^#^#^8)80

(3591) heptaelgathornonagintice = E100(#^#^#^8)90

...

Octaelgathor

Regiment

Category 47

Members: 77

(3592 - 3668)

Next we introduce the octael- root:

(3592) octaelgathor = E100#^#^########100 = E100(#^#^#^8)100

(3593) grand octaelgathor = E100(#^#^#^8)100#2 = E100(#^#^#^8)octaelgathor

(3594) grangol-carta-octaelgathor = E100(#^#^#^8)100#100

(3595) godgahlah-carta-octaelgathor = E100(#^#^#^8)100#^#100

(3596) godgathor-carta-octaelgathor = E100(#^#^#^8)100#^#^#100

(3597) gralgathor-carta-octaelgathor = E100(#^#^#^8)100#^#^##100

(3598) thraelgathor-carta-octaelgathor = E100(#^#^#^8)100#^#^###100

(3599) terinngathor-carta-octaelgathor = E100(#^#^#^8)100#^#^####100

(3600) pentaelgathor-carta-octaelgathor = E100(#^#^#^8)100(#^#^#^5)100

(3601) hexaelgathor-carta-octaelgathor = E100(#^#^#^8)100(#^#^#^6)100

(3602) heptaelgathor-carta-octaelgathor = E100(#^#^#^8)100(#^#^#^7)100

...

(3603) octaeltrigathor = E100(#^#^#^8)100(#^#^#^8)100

(3604) octaeltergathor = E100(#^#^#^8)100(#^#^#^8)100(#^#^#^8)100 = E100(#^#^#^8)*#4

(3605) octaelpeggathor = E100(#^#^#^8)*#5

(3606) octaelhexgathor = E100(#^#^#^8)*#6

(3607) octaelhepgathor = E100(#^#^#^8)*#7

(3608) octael-ahtgathor = E100(#^#^#^8)*#8

(3609) octael-enngathor = E100(#^#^#^8)*#9

(3610) octaeldekagathor = E100(#^#^#^8)*#10

...

(3611) octaelgathor-by-hyperion = E100(#^#^#^8)*#100

...

(3612) octaelgathor-by-godgahlah = E100(#^#^#^8)*#^#100

(3613) octaelgathor-by-godgathor = E100(#^#^#^8)*#^#^#100

(3614) octaelgathor-by-gralgathor = E100(#^#^#^8)*#^#^##10

(3615) octaelgathor-by-thraelgathor = E100(#^#^#^8)*#^#^###100

(3616) octaelgathor-by-terinngathor = E100(#^#^#^8)*#^#^####100

(3617) octaelgathor-by-pentaelgathor = E100(#^#^#^8)*(#^#^#^5)100

(3618) octaelgathor-by-hexaelgathor = E100(#^#^#^8)*(#^#^#^6)100

(3619) octaelgathor-by-heptaelgathor = E100(#^#^#^8)*(#^#^#^7)100

...

(3620) deutero-octaelgathor = E100(#^#^#^8)*(#^#^#^8)100

(3621) trito-octaelgathor = E100(#^#^#^8)*(#^#^#^8)*(#^#^#^8)100

(3622) teterto-octaelgathor

= E100(#^#^#^8)*(#^#^#^8)*(#^#^#^8)*(#^#^#^8)100

= E100#^(#^#^8*#)4

(3623) pepto-octaelgathor = E100#^(#^#^8*#)5

(3624) exto-octaelgathor = E100#^(#^#^8*#)6

(3625) epto-octaelgathor = E100#^(#^#^8*#)7

(3626) ogdo-octaelgathor = E100#^(#^#^8*#)8

(3627) ento-octaelgathor = E100#^(#^#^8*#)9

(3628) dekato-octaelgathor = E100#^(#^#^8*#)10

...

(3629) isosto-octaelgathor = E100#^(#^#^8*#)20

(3630) trianto-octaelgathor = E100#^(#^#^8*#)30

(3631) saranto-octaelgathor = E100#^(#^#^8*#)40

(3632) peninto-octaelgathor = E100#^(#^#^8*#)50 *formally pentikosto-octaelgathor

(3633) exinto-octaelgathor = E100#^(#^#^8*#)60

(3634) ebdominto-octaelgathor = E100#^(#^#^8*#)70

(3635) ogdonto-octaelgathor = E100#^(#^#^8*#)80

(3636) eneninto-octaelgathor = E100#^(#^#^8*#)90

...

(3637) hecato-octaelgathor = E100#^(#^#^8*#)100

( alternatively (3638) octaelgathorfact )

(3639) octaelgridgathor = E100#^(#^#^8*##)100

( alternatively (3640) octaelgathordeuterfact )

(3641) octaelkubikgathor = E100#^(#^#^8*###)100

( alternatively (3642) octaelgathortritofact )

(3643) octaelquarticgathor = E100#^(#^#^8*####)100

( alternatively (3644) octaelgathortetrifact )

...

(3645) octaelgodgathgathor = E100#^(#^#^8*#^#)100

(3646) octaelgralgathgathor = E100#^(#^#^8*#^##)100

(3647) octaelthraelgathgathor = E100#^(#^#^8*#^###)100

(3648) octaelterinngathgathor = E100#^(#^#^8*#^####)100

(3649) octaelpentaelgathgathor = E100#^(#^#^8*#^#^5)100

(3650) octaelhexaelgathgathor = E100#^(#^#^8*#^#^6)100

(3651) octaelheptaelgathgathor = E100#^(#^#^8*#^#^7)100

...

(3652) octaelgathordeus = E100#^(#^#^8*#^#^8)100

(3653) octaelgathortruce = E100#^(#^#^8*#^#^8*#^#^8)100

(3654) octaelgathorquad = E100#^(#^#^8*#^#^8*#^#^8*#^#^8)100 = E100(#^#^#^9)4

(3655) octaelgathorquid = E100(#^#^#^9)5

(3656) octaelgathorsid = E100(#^#^#^9)6

(3657) octaelgathorseptuce = E100(#^#^#^9)7

(3658) octaelgathoroctuce = E100(#^#^#^9)8

(3659) octaelgathornonice = E100(#^#^#^9)9

(3660) octaelgathordecice = E100(#^#^#^9)10

...

(3661) octaelgathorvigintice = E100(#^#^#^9)20

(3662) octaelgathortrigintice = E100(#^#^#^9)30

(3663) octaelgathorquadragintice = E100(#^#^#^9)40

(3664) octaelgathorquinquagintice = E100(#^#^#^9)50

(3665) octaelgathorsexagintice = E100(#^#^#^9)60

(3666) octaelgathorseptuagintice = E100(#^#^#^9)70

(3667) octaelgathoroctogintice = E100(#^#^#^9)80

(3668) octaelgathornonagintice = E100(#^#^#^9)90

...

Ennaelgathor

Regiment

Category 48

Members: 80

(3669 - 3748)

Next we introduce the ennael- root:

(3669) ennaelgathor = E100#^#^#########100 = E100(#^#^#^9)100

(3670) grand ennaelgathor = E100(#^#^#^9)100#2 = E100(#^#^#^9)ennaelgathor

(3671) grangol-carta-ennaelgathor = E100(#^#^#^9)100#100

(3672) godgahlah-carta-ennaelgathor = E100(#^#^#^9)100#^#100

(3673) godgathor-carta-ennaelgathor = E100(#^#^#^9)100#^#^#100

(3674) gralgathor-carta-ennaelgathor = E100(#^#^#^9)100#^#^##100

(3675) thraelgathor-carta-ennaelgathor = E100(#^#^#^9)100#^#^###100

(3676) terinngathor-carta-ennaelgathor = E100(#^#^#^9)100#^#^####100

(3677) pentaelgathor-carta-ennaelgathor = E100(#^#^#^9)100(#^#^#^5)100

(3678) hexaelgathor-carta-ennaelgathor = E100(#^#^#^9)100(#^#^#^6)100

(3679) heptaelgathor-carta-ennaelgathor = E100(#^#^#^9)100(#^#^#^7)100

(3680) octaelgathor-carta-ennaelgathor = E100(#^#^#^9)100(#^#^#^8)100

...

(3681) ennaeltrigathor = E100(#^#^#^9)100(#^#^#^9)100

(3682) ennaeltergathor = E100(#^#^#^9)100(#^#^#^9)100(#^#^#^9)100 = E100(#^#^#^9)*#4

(3683) ennaelpeggathor = E100(#^#^#^9)*#5

(3684) ennaelhexgathor = E100(#^#^#^9)*#6

(3685) ennaelhepgathor = E100(#^#^#^9)*#7

(3686) ennael-ahtgathor = E100(#^#^#^9)*#8

(3687) ennael-enngathor = E100(#^#^#^9)*#9

(3688) ennaeldekagathor = E100(#^#^#^9)*#10

...

(3689) ennaelgathor-by-hyperion = E100(#^#^#^9)*#100

...

(3690) ennaelgathor-by-godgahlah = E100(#^#^#^9)*#^#100

(3691) ennaelgathor-by-godgathor = E100(#^#^#^9)*#^#^#100

(3692) ennaelgathor-by-gralgathor = E100(#^#^#^9)*#^#^##10

(3693) ennaelgathor-by-thraelgathor = E100(#^#^#^9)*#^#^###100

(3694) ennaelgathor-by-terinngathor = E100(#^#^#^9)*#^#^####100

(3695) ennaelgathor-by-pentaelgathor = E100(#^#^#^9)*(#^#^#^5)100

(3696) ennaelgathor-by-hexaelgathor = E100(#^#^#^9)*(#^#^#^6)100

(3697) ennaelgathor-by-heptaelgathor = E100(#^#^#^9)*(#^#^#^7)100

(3698) ennaelgathor-by-octaelgathor = E100(#^#^#^9)*(#^#^#^8)100

...

(3699) deutero-ennaelgathor = E100(#^#^#^9)*(#^#^#^9)100

(3700) trito-ennaelgathor = E100(#^#^#^9)*(#^#^#^9)*(#^#^#^9)100

(3701) teterto-ennaelgathor

= E100(#^#^#^9)*(#^#^#^9)*(#^#^#^9)*(#^#^#^9)100

= E100#^(#^#^9*#)4

(3702) pepto-ennaelgathor = E100#^(#^#^9*#)5

(3703) exto-ennaelgathor = E100#^(#^#^9*#)6

(3704) epto-ennaelgathor = E100#^(#^#^9*#)7

(3705) ogdo-ennaelgathor = E100#^(#^#^9*#)8

(3706) ento-ennaelgathor = E100#^(#^#^9*#)9

(3707) dekato-ennaelgathor = E100#^(#^#^9*#)10

...

(3708) isosto-ennaelgathor = E100#^(#^#^9*#)20

(3709) trianto-ennaelgathor = E100#^(#^#^9*#)30

(3710) saranto-ennaelgathor = E100#^(#^#^9*#)40

(3711) peninto-ennaelgathor = E100#^(#^#^9*#)50 *formally pentikosto-ennaelgathor

(3712) exinto-ennaelgathor = E100#^(#^#^9*#)60

(3713) ebdominto-ennaelgathor = E100#^(#^#^9*#)70

(3714) ogdonto-ennaelgathor = E100#^(#^#^9*#)80

(3715) eneninto-ennaelgathor = E100#^(#^#^9*#)90

...

(3716) hecato-ennaelgathor = E100#^(#^#^9*#)100

( alternatively (3717) ennaelgathorfact )

(3718) ennaelgridgathor = E100#^(#^#^9*##)100

( alternatively (3719) ennaelgathordeuterfact )

(3720) ennaelkubikgathor = E100#^(#^#^9*###)100

( alternatively (3721) ennaelgathortritofact )

(3722) ennaelquarticgathor = E100#^(#^#^9*####)100

( alternatively (3723) ennaelgathortetrifact )

...

(3724) ennaelgodgathgathor = E100#^(#^#^9*#^#)100

(3725) ennaelgralgathgathor = E100#^(#^#^9*#^##)100

(3726) ennaelthraelgathgathor = E100#^(#^#^9*#^###)100

(3727) ennaelterinngathgathor = E100#^(#^#^9*#^####)100

(3728) ennaelpentaelgathgathor = E100#^(#^#^9*#^#^5)100

(3729) ennaelhexaelgathgathor = E100#^(#^#^9*#^#^6)100

(3730) ennaelheptaelgathgathor = E100#^(#^#^9*#^#^7)100

(3731) ennaeloctaelgathgathor = E100#^(#^#^9*#^#^8)100

...

(3732) ennaelgathordeus = E100#^(#^#^9*#^#^9)100

(3733) ennaelgathortruce = E100#^(#^#^9*#^#^9*#^#^9)100

(3734) ennaelgathorquad = E100#^(#^#^9*#^#^9*#^#^9*#^#^9)100 = E100(#^#^#^10)4

(3735) ennaelgathorquid = E100(#^#^#^10)5

(3736) ennaelgathorsid = E100(#^#^#^10)6

(3737) ennaelgathorseptuce = E100(#^#^#^10)7

(3738) ennaelgathoroctuce = E100(#^#^#^10)8

(3739) ennaelgathornonice = E100(#^#^#^10)9

(3740) ennaelgathordecice = E100(#^#^#^10)10

...

(3741) ennaelgathorvigintice = E100(#^#^#^10)20

(3742) ennaelgathortrigintice = E100(#^#^#^10)30

(3743) ennaelgathorquadragintice = E100(#^#^#^10)40

(3744) ennaelgathorquinquagintice = E100(#^#^#^10)50

(3745) ennaelgathorsexagintice = E100(#^#^#^10)60

(3746) ennaelgathorseptuagintice = E100(#^#^#^10)70

(3747) ennaelgathoroctogintice = E100(#^#^#^10)80

(3748) ennaelgathornonagintice = E100(#^#^#^10)90

...

Dekaelgathor

Regiment

Category 49

Members: 100

(3749 - 3848)

Next we introduce the dekael- root:

(3749) dekaelgathor = E100#^#^##########100 = E100(#^#^#^10)100

(3750) grand dekaelgathor = E100(#^#^#^10)100#2 = E100(#^#^#^10)dekaelgathor

(3751) grangol-carta-dekaelgathor = E100(#^#^#^10)100#100

(3752) godgahlah-carta-dekaelgathor = E100(#^#^#^10)100#^#100

(3753) godgathor-carta-dekaelgathor = E100(#^#^#^10)100#^#^#100

(3754) gralgathor-carta-dekaelgathor = E100(#^#^#^10)100#^#^##100

(3755) thraelgathor-carta-dekaelgathor = E100(#^#^#^10)100#^#^###100

(3756) terinngathor-carta-dekaelgathor = E100(#^#^#^10)100#^#^####100

(3757) pentaelgathor-carta-dekaelgathor = E100(#^#^#^10)100(#^#^#^5)100

(3758) hexaelgathor-carta-dekaelgathor = E100(#^#^#^10)100(#^#^#^6)100

(3759) heptaelgathor-carta-dekaelgathor = E100(#^#^#^10)100(#^#^#^7)100

(3760) octaelgathor-carta-dekaelgathor = E100(#^#^#^10)100(#^#^#^8)100

(3761) ennaelgathor-carta-dekaelgathor = E100(#^#^#^10)100(#^#^#^9)100

...

(3762) dekaeltrigathor = E100(#^#^#^10)100(#^#^#^10)100

(3763) dekaeltergathor = E100(#^#^#^10)100(#^#^#^10)100(#^#^#^10)100 = E100(#^#^#^10)*#4

(3764) dekaelpeggathor = E100(#^#^#^10)*#5

(3765) dekaelhexgathor = E100(#^#^#^10)*#6

(3766) dekaelhepgathor = E100(#^#^#^10)*#7

(3767) dekael-ahtgathor = E100(#^#^#^10)*#8

(3768) dekael-enngathor = E100(#^#^#^10)*#9

(3769) dekaeldekagathor = E100(#^#^#^10)*#10

...

(3770) dekaelgathor-by-hyperion = E100(#^#^#^10)*#100

...

(3771) dekaelgathor-by-godgahlah = E100(#^#^#^10)*#^#100

(3772) dekaelgathor-by-godgathor = E100(#^#^#^10)*#^#^#100

(3773) dekaelgathor-by-gralgathor = E100(#^#^#^10)*#^#^##10

(3774) dekaelgathor-by-thraelgathor = E100(#^#^#^10)*#^#^###100

(3775) dekaelgathor-by-terinngathor = E100(#^#^#^10)*#^#^####100

(3776) dekaelgathor-by-pentaelgathor = E100(#^#^#^10)*(#^#^#^5)100

(3777) dekaelgathor-by-hexaelgathor = E100(#^#^#^10)*(#^#^#^6)100

(3778) dekaelgathor-by-heptaelgathor = E100(#^#^#^10)*(#^#^#^7)100

(3779) dekaelgathor-by-octaelgathor = E100(#^#^#^10)*(#^#^#^8)100

(3780) dekaelgathor-by-ennaelgathor = E100(#^#^#^10)*(#^#^#^9)100

...

(3781) deutero-dekaelgathor = E100(#^#^#^10)*(#^#^#^10)100

(3782) trito-dekaelgathor = E100(#^#^#^10)*(#^#^#^10)*(#^#^#^10)100

(3783) teterto-dekaelgathor

= E100(#^#^#^10)*(#^#^#^10)*(#^#^#^10)*(#^#^#^10)100

= E100#^(#^#^10*#)4

(3784) pepto-dekaelgathor = E100#^(#^#^10*#)5

(3785) exto-dekaelgathor = E100#^(#^#^10*#)6

(3786) epto-dekaelgathor = E100#^(#^#^10*#)7

(3787) ogdo-dekaelgathor = E100#^(#^#^10*#)8

(3788) ento-dekaelgathor = E100#^(#^#^10*#)9

(3789) dekato-dekaelgathor = E100#^(#^#^10*#)10

...

(3790) isosto-dekaelgathor = E100#^(#^#^10*#)20

(3791) trianto-dekaelgathor = E100#^(#^#^10*#)30

(3792) saranto-dekaelgathor = E100#^(#^#^10*#)40

(3793) peninto-dekaelgathor = E100#^(#^#^10*#)50 *formally pentikosto-dekaelgathor

(3794) exinto-dekaelgathor = E100#^(#^#^10*#)60

(3795) ebdominto-dekaelgathor = E100#^(#^#^10*#)70

(3796) ogdonto-dekaelgathor = E100#^(#^#^10*#)80

(3797) eneninto-dekaelgathor = E100#^(#^#^10*#)90

...

(3798) hecato-dekaelgathor = E100#^(#^#^10*#)100

( alternatively (3799) dekaelgathorfact )

(3800) dekaelgridgathor = E100#^(#^#^10*##)100

( alternatively (3801) dekaelgathordeuterfact )

(3802) dekaelkubikgathor = E100#^(#^#^10*###)100

( alternatively (3803) dekaelgathortritofact )

(3804) dekaelquarticgathor = E100#^(#^#^10*####)100

( alternatively (3805) dekaelgathortetrifact )

...

(3806) dekaelgodgathgathor = E100#^(#^#^10*#^#)100

(3807) dekaelgralgathgathor = E100#^(#^#^10*#^##)100

(3808) dekaelthraelgathgathor = E100#^(#^#^10*#^###)100

(3809) dekaelterinngathgathor = E100#^(#^#^10*#^####)100

(3810) dekaelpentaelgathgathor = E100#^(#^#^10*#^#^5)100

(3811) dekaelhexaelgathgathor = E100#^(#^#^10*#^#^6)100

(3812) dekaelheptaelgathgathor = E100#^(#^#^10*#^#^7)100

(3813) dekaeloctaelgathgathor = E100#^(#^#^10*#^#^8)100

(3814) dekaelennaelgathgathor = E100#^(#^#^10*#^#^9)100

...

(3815) dekaelgathordeus = E100#^(#^#^10*#^#^10)100

(3816) dekaelgathortruce = E100#^(#^#^10*#^#^10*#^#^10)100

(3817) dekaelgathorquad = E100#^(#^#^10*#^#^10*#^#^10*#^#^10)100 = E100(#^#^#^11)4

(3818) dekaelgathorquid = E100(#^#^#^11)5

(3819) dekaelgathorsid = E100(#^#^#^11)6

(3820) dekaelgathorseptuce = E100(#^#^#^11)7

(3821) dekaelgathoroctuce = E100(#^#^#^11)8

(3822) dekaelgathornonice = E100(#^#^#^11)9

(3823) dekaelgathordecice = E100(#^#^#^11)10

...

(3824) dekaelgathorvigintice = E100(#^#^#^11)20

(3825) dekaelgathortrigintice = E100(#^#^#^11)30

(3826) dekaelgathorquadragintice = E100(#^#^#^11)40

(3827) dekaelgathorquinquagintice = E100(#^#^#^11)50

(3828) dekaelgathorsexagintice = E100(#^#^#^11)60

(3829) dekaelgathorseptuagintice = E100(#^#^#^11)70