The Final Clash Made Succinct

The same verses from before:

We will again shorten our definition of "country" to refer to every multiplicative coset of the subfield GF(8) in F, our extension.

Now, we have that the seven cycle exists in a fashion unique in F*, so that there is only one such seven cycle. Now, as Egypt is conquered we likewise have that every similar interval of powers of g (a generator of F*) send the seven subgroups of each country (coset of Egypt) to themselves also. We merely need to note that the northern octal is now composed of triples in F rather than K4 groups, since they can not be anything else. (We can not change orbit from groups to cosets)

Then the southern fortress is taken as permuting the rows of the ships of chittim downwards in columns, and the groups that form the northern octal present in the "sanctuary of strength" in those rows are likewise cycled also.(but only as triples, not cosets.)

Then every "country" (in the same orbit of Egypt) is fully conquered as acted on by elements of the seven cycle in F*, and there are cosets formed alike to the northern country that remain cosets but are likewise permuted - it is this that gives bad tidings out of the north and the west to which the king of the north returns to fight, as the south begins to pick up on the same device: there is no winner.

Teh act of the king to replace the triples with K4 forms using the removal of the restrainer give him "strength" with his "god of forces" to make cosets into "near groups" for lack of a term, and the king uses the cosets to shift orbits to bow triples rather than subgroups of F+.

We are told three of the four "possible" candidates for the north escape - Edom, Moab and The chief of the children of Ammon (as uninstantiated) in the land of the north. The northern land is travelled through as a coset of one group only of the south (opposing the northern "fortress" or static subgroup), and the other three possibilities escape that orbit made by the king of the north. (The rows are constructed using one static northern subgroup or "fortress" for each row in but one seven cycle only. - thus only one octal.)

So, in simply reducing the countries to the cosets of GF(8) (the south) we see a much simpler alignment to the text. We should note that the short orbit of GF(8) in F could indeed by very long, and there would of necessity be many horses, chariots, choices of unity as well as "ships" that are between each coset under the seven cycle - as we saw "toll booths" before in the page "a raiser of taxes". We must note we are also free to shift orbits also.

That the south is a subfield able to be conquered - by virtue of the uniqueness of the seven cycle in F* it is impossible for the northern octal to also be a subfield - or indeed a multiplicative coset of GF(8) (the south's same orbit) under the operations of any such extension field F. It is impossible for them both to have the operations of the octal as well as be preserved in F by multiplication.

Unless that is, the operations of antichrist in the removal of the restrainer come into play.

Though he may indeed in the use of the seven cycle on Egypt conquer and sweep through many cosets of GF(8) (the south) it leaves him open to the exact same device, and the north falls with an attack coming "the other way" - from the east and north.

Now plausibly there is the opposite application of the ships of chittim. The only remaining device is for the king of the north to meet with his opponent and speak lies at one table all the more. Though, there is no profit in it for he will come to his end and none will help him. (The only outside agency has been employed and in its device defeated - it gives no superiority.) So, to the left and right the choice of triples to either side number 666 - despite their shared triples in common - each relating to north and south. Likewise the elements shared between northern octal and rows in chittim are three triples that contain the unity element. On this the two agree - and there are once more the 1335 days with three in the centre.

The people of God are to be tried in that they must hold fast to these three triples only - in the form of the K4 representation of Christ spanning the octal. Under the seven cycle that preserves the north and south, there are 43*30 = 1290 "days" in which they may do this. Likewise, there is the same number of days in the rows of the reordered ships of chittim also - and the dividing line is straight down the middle

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