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A

MAZE

IN

ZAZAZA ENTER AZAZAZ

AZAZAZAZAZAZAZZAZAZAZAZAZAZA

ZAZAZAZAZAZAZAZAZAAZAZAZAZAZAZAZAZAZ

THE

MAGICALALPHABET

ABCDEFGHIJKLMNOPQRSTUVWXYZZYXWVUTSRQPONMLKJIHGFEDCBA

12345678910111213141516171819202122232425262625242322212019181716151413121110987654321

 

 

A

HISTORY OF GOD

Karen Armstrong 1993

The God of the Mystics

Page 250

"Perhaps the most famous of the early Jewish mystical texts is the fifth century Sefer Yezirah (The Book of Creation). There is no attempt to describe the creative process realistically; the account is unashamedly symbolic and shows God creating the world by means of language as though he were writing a book. But language has been entirely transformed and the message of creation is no longer clear. Each letter of the Hebrew alphabet is given a numerical value; by combining the letters with the sacred numbers, rearranging them in endless configurations, the mystic weaned his mind away from the normal connotations of words."

 

 

THERE IS NO ATTEMPT MADE TO DESCRIBE THE CREATIVE PROCESS REALISTICALLY

THE ACCOUNT IS SYMBOLIC AND SHOWS GOD CREATING THE WORLD BY MEANS OF LANGUAGE

AS THOUGH WRITING A BOOK BUT LANGUAGE ENTIRELY TRANSFORMED

THE MESSAGE OF CREATION IS CLEAR EACH LETTER OF

THE

ALPHABET

IS

GIVEN

A

NUMERICAL

VALUE BY COMBINING THE LETTERS WITH THE SACRED NUMBERS

REARRANGING THEM IN ENDLESS CONFIGURATIONS

THE MYSTIC WEANED THE MIND AWAY FROM THE NORMAL CONNOTATIONS OF WORDS

 

 

THE LIGHT IS RISING RISING IS THE LIGHT

 

 

2
IS
28
10
1
9
UNIVERSAL
121
40
4
4
MIND
40
22
4
3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
33
First Total
378
162
27
3+3
Add to Reduce
3+7+8
1+6+2
2+7
6
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
6
Essence of Number
9
9
9

 

 

9
UNIVERSAL
121
40
4
4
MIND
40
22
4
2
IS
28
10
1
3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
33
First Total
378
162
27
3+3
Add to Reduce
3+7+8
1+6+2
2+7
6
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
6
Essence of Number
9
9
9

 

 

E
=
5
-
2
EX
11
2
2
U
=
3
-
6
UMBRIS
82
28
1
E
=
5
-
2
ET
25
7
7
I
=
9
-
10
IMAGINIBUS
104
50
5
I
=
9
-
2
IN
23
14
5
V
=
4
-
9
VERITATEM
113
41
5
-
-
35
-
31
First Total
358
142
25
-
-
3+5
-
3+1
Add to Reduce
3+5+8
1+4+2
2+5
-
-
8
-
4
Second Total
16
7
7
-
-
-
-
-
Reduce to Deduce
1+6
-
-
-
-
8
-
4
Essence of Number
7
7
7

 

 

O
=
6
-
3
OUT
56
11
2
O
=
6
-
2
OF
21
12
3
S
=
1
-
7
SHADOWS
89
26
8
A
=
1
-
3
AND
82
28
1
P
=
7
-
9
PHANTASMS
111
30
3
I
=
9
-
4
INTO
58
22
4
T
=
2
-
5
TRUTH
87
24
6
-
-
32
-
33
Add to Reduce
441
135
27
-
-
3+2
-
3+3
Reduce to Deduce
4+4+1
1+3+5
2+7
-
-
5
-
6
Essence of Number
9
9
9

 

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
18
First Total
189
90
18
1+8
Add to Reduce
1+8+9
9+0
1+8
9
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
9
Essence of Number
9
9
9

 

 

THE

FAR YONDER SCRIBE

AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN FINE AMAZE

THE

ZED ALIZ ZED

IN

SWIFT REPEAT SCATTER STAR DUST AMONGST THE LETTERS OF THEIR PROGRESS

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Cycles and Patterns

Page 165

Patterns

"The essence of mathematics is to look for patterns.

Our minds seem to be organised to search for relationships and sequences. We look for hidden orders.

These intuitions seem to be more important than the facts themselves, for there is always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imagine looking up at the stars and finding the zodiac!

Searching out patterns is a pure delight.

Suddenly the counters fall into place and a connection is found, not necessarily a geometric one, but a relationship between numbers, pictures of the mind, that were not obvious before. There is that excitement of finding order in something that was otherwise hidden.

And there is the knowledge that a huge unseen world lurks behind the facades we see of the numbers themselves."

 

 

FINGERPRINTS OF THE GODS

A QUEST FOR THE BEGINNING AND THE END

Graham Hancock 1995

Chapter 32

Speaking to the Unborn

Page 285

"It is understandable that a huge range of myths from all over the ancient world should describe geological catastrophes in graphic detail. Mankind survived the horror of the last Ice Age, and the most plausible source for our enduring traditions of flooding and freezing, massive volcanism and devastating earthquakes is in the tumultuous upheavals unleashed during the great meltdown of 15,000 to 8000 BC. The final retreat of the ice sheets, and the consequent 300-400 foot rise in global sea levels, took place only a few thousand years before the beginning of the historical period. It is therefore not surprising that all our early civilizations should have retained vivid memories of the vast cataclysms that had terrified their forefathers.
Much harder to explain is the peculiar but distinctive way the myths of cataclysm seem to bear the intelligent imprint of a guiding hand.l Indeed the degree of convergence between such ancient stories is frequently remarkable enough to raise the suspicion that they must all have been 'written' by the same 'author'.
Could that author have had anything to do with the wondrous deity, or superhuman, spoken of in so many of the myths we have reviewed, who appears immediately after the world has been shattered by a horrifying geological catastrophe and brings comfort and the gifts of civilization to the shocked and demoralized survivors?
White and bearded, Osiris is the Egyptian manifestation of this / Page 286 / universal figure, and it may not be an accident that one of the first acts he is remembered for in myth is the abolition of cannibalism among the primitive inhabitants of the Nile Valley.2 Viracocha, in South America, was said to have begun his civilizing mission immediately after a great flood; Quetzalcoatl, the discoverer of maize, brought the benefits of crops, mathematics, astronomy and a refined culture to Mexico after the Fourth Sun had been overwhelmed by a destroying deluge.
Could these strange myths contain a record of encounters between scattered palaeolithic tribes which survived the last Ice Age and an as yet unidentified high civilization which passed through the same epoch?
And could the myths be attempts to communicate?

A message in the bottle of time"

'Of all the other stupendous inventions,' Galileo once remarked,

what sublimity of mind must have been his who conceived how to communicate his most secret thoughts to any other person, though very distant either in time or place, speaking with those who are in the Indies, speaking to those who are not yet born, nor shall be this thousand or ten thousand years? And with no greater difficulty than the various arrangements of two dozen little signs on paper? Let this be the seal of all the admirable inventions of men.3

If the 'precessional message' identified by scholars like Santillana, von Dechend and Jane Sellers is indeed a deliberate attempt at communication by some lost civilization of antiquity, how come it wasn't just written down and left for us to find? Wouldn't that have been easier than encoding it in myths? Perhaps.
Nevertheless, suppose that whatever the message was written on got destroyed or worn away after many thousands of years? Or suppose that the language in which it was inscribed was later forgotten utterly (like the enigmatic Indus Valley script, which has been studied closely for more than half a century but has so far resisted all attempts at decoding)? It must be obvious that in such circumstances a written / Page 287 / legacy to the future would be of no value at all, because nobody would be able to make sense of it.
What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them - and the city of Teotihuacan may be the calling-card of a lost civilization written in the eternal language of mathematics.
Geodetic data, related to the exact positioning of fixed geographical points and to the shape and size of the earth, would also remain valid and recognizable for tens of thousands of years, and might be most conveniently expressed by means of cartography (or in the construction of giant geodetic monuments like the Great Pyramid of Egypt, as we shall see).
Another 'constant' in our solar system is the language of time: the great but regular intervals of time calibrated by the inch-worm creep of precessional motion. Now, or ten thousand years in the future, a message that prints out numbers like 72 or 2160 or 4320 or 25,920 should be instantly intelligible to any civilization that has evolved a modest talent for mathematics and the ability to detect and measure the almost imperceptible reverse wobble that the sun appears to make along the ecliptic against the background of the fixed stars..."

"What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them"

"WRITTEN IN THE ETERNAL LANGUAGE OF MATHEMATICS"

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

0
-
Z
=
8
-
4
ZERO
64
28
1
1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
58
13
4
3
-
T
=
2
-
5
THREE
56
29
2
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
42
24
6
6
-
S
=
1
-
3
SIX
52
16
7
7
-
S
=
1
-
5
SEVEN
65
20
2
8
-
E
=
5
-
5
EIGHT
49
31
4
9
-
N
=
5
-
4
NINE
42
24
6
45
-
-
-
42
-
40
Add
522
225
45
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
9
-
-
-
6
-
4
Deduce
9
9
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
58
13
4
3
-
T
=
2
-
5
THREE
56
29
2
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
42
24
6
6
-
S
=
1
-
3
SIX
52
16
7
7
-
S
=
1
-
5
SEVEN
65
20
2
8
-
E
=
5
-
5
EIGHT
49
31
4
9
-
N
=
5
-
4
NINE
42
24
6
45
-
-
-
34
-
36
Add
458
197
44
4+5
-
-
-
3+4
-
3+6
Reduce
4+5+8
1+9+7
4+4
9
-
-
-
7
4
9
Deduce
17
17
8
-
-
-
-
-
-
-
Produce
1+7
1+7
-
9
-
-
-
7
-
9
Essence
8
8
8

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
45
-
-
-
34
-
36
Add
458
197
44
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
3+4
-
3+6
Reduce
4+5+8
1+9+7
4+4
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
7
4
9
Deduce
17
17
8
-
1
4
3
8
5
18
14
8
9
-
-
-
-
-
-
-
Produce
1+7
1+7
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
7
-
9
Essence
8
8
8
-
1
4
3
8
5
9
5
8
9

 

 

0
-
4
ZERO
8
5
9
6
-
=
28
2+8
=
10
1+0
1
1
-
3
ONE
6
5
5
-
-
=
16
1+6
=
7
-
7
2
-
3
TWO
2
5
6
-
-
=
13
1+3
=
4
-
4
3
-
5
THREE
2
8
9
5
5
=
29
2+9
=
11
1+1
2
4
-
4
FOUR
6
6
3
9
-
=
24
2+4
=
6
-
6
5
-
4
FIVE
6
9
4
5
-
=
24
2+4
=
6
-
6
6
-
3
SIX
1
9
6
-
-
=
16
1+6
=
7
-
7
7
-
5
SEVEN
1
5
4
5
5
=
20
2+0
=
2
-
2
8
-
5
EIGHT
5
9
7
8
2
=
31
3+1
=
4
-
4
9
-
4
NINE
5
9
5
5
-
=
24
2+4
=
6
-
6
45
-
40
Add
42
70
58
43
12
-
225
-
-
63
-
45
4+5
-
4+0
-
4+2
7+0
5+8
4+3
1+2
-
2+2+5
-
-
6+3
-
4+5
9
-
4
Reduce
6
7
13
7
3
-
9
-
-
9
-
9
-
-
-
-
-
-
1+3
-
-
-
-
-
-
-
-
-
9
-
4
Deduce
6
7
4
7
3
-
9
-
-
9
-
9

 

 

 

The Upside Down of the Downside Up

 

 

THE DEATH OF GODS IN ANCIENT EGYPT

Jane B. Sellars 1992

Page 204

"The overwhelming awe that accompanies the realization, of the measurable orderliness of the universe strikes modern man as well. Admiral Weiland E. Byrd, alone In the Antarctic for five months of polar darkness, wrote these phrases of intense feeling:

Here were the imponderable processes and forces of the cosmos, harmonious and soundless. Harmony, that was it! I could feel no doubt of oneness with the universe. The conviction came that the rhythm was too orderly. too harmonious, too perfect to be a product of blind chance - that, therefore there must be purpose in the whole and that man was part of that whole and not an accidental offshoot. It was a feeling that transcended reason; that went to the heart of man's despair and found it groundless. The universe was a cosmos, not a chaos; man was as rightfully a part of that cosmos as were the day and night.10

Returning to the account of the story of Osiris, son of Cronos god of' Measurable Time, Plutarch takes, pains to remind the reader of the original Egyptian year consisting of 360 days.

Phrases are used that prompt simple mental. calculations and an attention to numbers, for example, the 360-day year is described as being '12 months of 30 days each'. Then we are told that, Osiris leaves on a long journey, during which Seth, his evil brother, plots with 72 companions to slay Osiris: He also secretly obtained the measure of Osiris and made ready a chest in which to entrap him.

The, interesting thing about this part of the-account is that nowhere in the original texts of the Egyptians are we told that Seth, has 72 companions. We have already been encouraged to equate Osiris with the concept of measured time; his father being Cronos. It is also an observable fact that Cronos-Saturn has the longest sidereal period of the known planets at that time, an orbit. of 30 years. Saturn is absent from a specific constellation for that length of time.

A simple mathematical fact has been revealed to any that are even remotely sensitive to numbers: if you multiply 72 by 30, the years of Saturn's absence (and the mention of Osiris's absence prompts one to recall this other), the resulting product is 2,160: the number of years required, for one 30° shift, or a shift: through one complete sign of the zodiac. This number multplied by the /Page205 / 12 signs also gives 25,920. (And Plutarch has reminded us of 12)

If you multiply the unusual number 72 by 360, a number that Plutarch mentions several times, the product will be 25,920, again the number of years symbolizing the ultimate rebirth.

This 'Eternal Return' is the return of, say, Taurus to the position of marking the vernal equinox by 'riding in the solar bark with. Re' after having relinquished this honoured position to Aries, and subsequently to the to other zodiacal constellations.

Such a return after 25,920 years is indeed a revisit to a Golden Age, golden not only because of a remarkable symmetry In the heavens, but golden because it existed before the Egyptians experienced heaven's changeability.

But now to inform the reader of a fact he or she may already know. Hipparaus did: not really have the exact figures: he was a trifle off in his observations and calculations. In his published work, On the Displacement of the Solstitial and Equinoctial Signs, he gave figures of 45" to 46" a year, while the truer precessional lag along the ecliptic is about 50 seconds. The exact measurement for the lag, based on the correct annual lag of 50'274" is 1° in 71.6 years, or 360° in 25,776 years, only 144 years less than the figure of 25,920.

With Hipparchus's incorrect figures a 'Great Year' takes from 28,173.9 to 28,800 years, Incorrect by a difference of from 2,397.9 years to 3,024.

Since Nicholas Copernicus (AD 1473-1543) has always been credited with giving the correct numbers (although Arabic astronomer Nasir al-Din Tusi,11 born AD 1201, is known to have fixed the Precession at 50°), we may correctly ask, and with justifiable astonishment 'Just whose information was Plutarch transmitting'

AN IMPORTANT POSTSCRIPT

Of course, using our own notational system, all the important numbers have digits that reduce to that amazing number 9 a number that has always delighted budding mathematician.

Page 206

Somewhere along the way, according to Robert Graves, 9 became the number of lunar wisdom.12

This number is found often in the mythologies of the world. the Viking god Odin hung for nine days and nights on the World Tree in order to acquire the secret of the runes, those magic symbols out of which writing and numbers grew. Only a terrible sacrifice would give away this secret, which conveyed upon its owner power and dominion over all, so Odin hung from his neck those long 9 days and nights over the 'bottomless abyss'. In the tree were 9 worlds, and another god was said to have been born of 9 mothers.

Robert Graves, in his White Goddess, Is intrigued by the seemingly recurring quality of the number 72 in early myth and ritual. Graves tells his reader that 72 is always connected with the number 5, which reflects, among other things, the five Celtic dialects that he was investigating. Of course, 5 x 72= 360, 360 x 72= 25,920. Five is also the number of the planets known to the ancient world, that is, Saturn, Jupiter, Mars, Venus Mercury.

Graves suggests a religious mystery bound up with two ancient Celtic 'Tree Alphabets' or cipher alphabets, which as genuine articles of Druidism were orally preserved and transmitted for centuries. He argues convincingly that the ancient poetry of Europe was ultimately based on what its composers believed to be magical principles, the rudiments of which formed a close religious secret for centuries. In time these were-garbled, discredited and forgotten.

Among the many signs of the transmission of special numbers he points out that the aggregate number of letter strokes for the complete 22-letter Ogham alphabet that he is studying is 72 and that this number is the multiple of 9, 'the number of lunar wisdom'. . . . he then mentions something about 'the seventy day season during which Venus moves successively from. maximum eastern elongation 'to inferior conjunction and maximum western elongation'.13

Page 207

"...Feniusa Farsa, Graves equates this hero with Dionysus Farsa has 72 assistants who helped him master the 72 languages created at the confusion of Babel, the tower of which is said to be built of 9 different materials

We are also reminded of the miraculous translation into Greek of the Five Books of Moses that was done by 72 scholars working for 72 days, Although the symbol for the Septuagint is LXX, legend, according to the fictional letter of Aristeas, records 72. The translation was done for Ptolemy Philadelphus (c.250 BC), by Hellenistic Jews, possibly from Alexandra.14

Graves did not know why this number was necessary, but he points out that he understands Frazer's Golden Bough to be a a book hinting that 'the secret involves the truth that the Christian dogma, and rituals, are the refinement of a great body of primitive beliefs, and that the only original element in Christianity- is the personality of Christ.15

Frances A. Yates, historian of Renaissance hermetisma tells, us the cabala had 72 angels through which the sephiroth (the powers of God) are believed to be approached, and further, she supplies the information that although the Cabala supplied a set of 48 conclusions purporting to confirm the Christian religion from the foundation of ancient wisdom, Pico Della Mirandola, a Renaissance magus, introduced instead 72, which were his 'own opinion' of the correct number. Yates writes, 'It is no accident there are seventy-two of Pico's Cabalist conclusions, for the conclusion shows that he knew something of the mystery of the Name of God with seventy-two letters.'16

In Hamlet's Mill de Santillarta adds the facts that 432,000 is the number of syllables in the Rig-Veda, which when multiplied by the soss (60) gives 25,920" (The reader is forgiven for a bit of laughter at this point)

Thee Bible has not escaped his pursuit. A prominent Assyriologist of the last century insisted that the total of the years recounted
mounted in Genesis for the lifetimes of patriarchs from the Flood also contained the needed secret numbers. (He showed that in the 1,656.years recounted in the Bible there are 86,400 7 day weeks, and dividing this number yields / Page 208 / 43,200.) In Indian yogic schools it is held that all living beings exhale and inhale 21,600 times a day, .multiply this by 2 and again we have.the necessary 432 digits.

Joseph Campbell discerns the secret in the date set for the coming of Patrick to Ireland. Myth-gives this date-as.- the interest-
ing number of AD.432.18

Whatever one may think-of some of these number coincidences, it becomes. difficult to escape the suspicion that many signs (number and otherwise) -indicate that early man observed the results.. of the movement of Precession . and that the-.transmission of this information was .considered of prime importance.

'With the awareness of the phenomenon, observers would certainly have tried for its measure, and such an endeavour would
have constituted the construction-of a 'Unified Field Theory' for nothing .less than Creation itself. Once determined, it would have been information worthy of secrecy and worthy of the passing on to future adepts.

But one last word about mankind's romance with number coincidences.The antagonist in John Updike's novel, Roger's Version, is a computer hacker, who, convinced.,that scientific evidence of God's existence is accumulating, endeavours to prove it by feeding -all the available scientific information. into a comuter. In his search for God 'breaking, through', he has become fascinated by certain numbers that have continually been cropping up. He explains them excitedly as 'the terms of Creation':

"...after a while I noticed that all over the sheet there seemed to hit these twenty-fours Jumping out at me. Two four; two,four.Planck time, for instance, divided by the radiation constant yields a figure near eight times ten again to the negative twenty-fourth, and the permittivity of free space, or electric constant, into the Bohr radiusekla almost exactly six times ten to the negative twenty-fourth. On positive side, the electromagnetic line-structure constant times Hubble radius - that is, the size of the universe as we now perceive it gives us something quite close to ten to the twenty-fourth, and the strong-force constant times the charge on the proton produces two point four times ten to the negative eighteenth, for another I began to circle twenty-four wherever it appeared on the Printout here' - he held it up. his piece of striped and striped wallpaper, decorated / Page 209 / with a number of scarlet circles - 'you can see it's more than random.'19
This inhabitant of the twentieth century is convinced that the striking occurrences of 2 and 4 reveal the sacred numbers by which God is speaking to us.

So much for any scorn directed to ancient man's fascination with number coincidences. That fascination is alive and well, Just a bit more incomprehensible"

 

 

All about the planets in our Solar System. The nine planets that orbit the sun are (in order from the sun): Mercury,Venus, Earth, Mars, Jupiter, Saturn, ... www.enchantedlearning.com/subjects/astronomy/planets

Our solar system consists of the sun, eight planets, moons, dwarf planets, an asteroid belt, comets, meteors, and others. The sun is the center of our solar system; the planets, their moons, the asteroids, comets, and other rocks and gas all orbit the sun.

The nine planets that orbit the sun are (in order from the sun): Mercury,Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, and Pluto (a dwarf planet). A belt of asteroids (minor planets made of rock and metal) lies between Mars and Jupiter. These objects all orbit the sun in roughly circular orbits that lie in the same plane, the ecliptic (Pluto is an exception; it has an elliptical orbit tilted over 17° from the ecliptic).

 

-
THE RAINBOW LIGHT
-
-
-
3
THE
33
15
6
7
RAINBOW
82
37
1
5
LIGHT
56
29
2
15
THE RAINBOW LIGHT
171
81
9
1+5
-
1+7+1
8+1
-
6
THE RAINBOW LIGHT
9
9
9

 

 

15
THE RAINBOW LIGHT
-
-
-
-
THE
33
15
6
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
-
L
12
3
3
-
I
9
9
9
-
G+H+T
35
17
8
15
THE RAINBOW LIGHT
171
81
54
1+5
-
1+7+1
8+1
5+4
6
THE RAINBOW LIGHT
9
9
9

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
=
7
=
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
=
7
=
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
=
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
=
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
=
9
=
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
=
9
=
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
=
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
=
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

ADVENT 1011 ADVENT

 

 

A

SERPENT I PRESENT

 

W
=
5
-
2
WE
28
10
1
A
=
1
-
3
ARE
24
15
6
O
=
6
-
2
OF
21
12
3
O
=
6
-
3
ONE
34
16
7
B
=
2
-
5
BLOOD
48
21
3
Y
=
7
-
3
YOU
61
16
7
A
=
1
-
3
AND
19
10
1
I
=
9
-
1
I
9
9
9
-
-
37
-
22
First Total
244
109
37
-
-
3+7
-
2+2
Add to Reduce
2+4+4
1+0+9
3+7
-
-
10
-
4
Second Total
10
10
10
-
-
1+0
-
-
Reduce to Deduce
1+0
1+0
1+0
-
-
1
-
4
Essence of Number
1
1
1

 

 

T
=
2
-
3
THE
33
13
6
S
=
1
-
5
SNAKE
50
14
5
I
=
9
-
2
IS
28
10
1
T
=
2
-
3
THE
33
15
6
K
=
2
-
3
KEY
41
5
5
-
-
16
-
16
First Total
185
59
23
-
-
1+6
-
1+6
Add to Reduce
1+8+5
5+9
2+3
-
-
7
-
7
Second Total
14
14
5
-
-
-
-
-
Reduce to Deduce
1+4
1+4
-
-
-
7
-
7
Essence of Number
5
5
5

 

 

PYTHAGORAS OUROBOROS PYTHAGORAS

CIRCLE = 5 = CIRCLE

 

B HOURS OF HORUS B

OURABORUS OURABOURS OURABORUS

OUROBOROS OUROBOROS

ANOTHER

SERPENT I PRESENT

 

 

9
OURABORUS
130
31
4
9
OUROBOROS
138
48
3

 

 

GOD GAVE NOAH THE RAINBOW SIGN NO MORE WATER FIRE NEXT TIME

 

G
=
7
-
3
GOD
26
17
8
G
=
7
-
4
GAVE
35
17
8
N
=
5
-
4
NOAH
38
20
2
T
=
2
-
3
THE
33
15
6
R
=
9
-
7
RAINBOW
82
37
1
S
=
1
-
4
SIGN
49
22
4
N
=
5
-
2
NO
29
11
2
M
=
4
-
4
MORE
51
25
7
W
=
5
-
5
WATER
67
22
4
F
=
6
-
4
FIRE
38
29
2
N
=
5
-
4
NEXT
63
18
9
T
=
2
-
4
TIME
47
20
0
-
-
58
-
48
First Total
558
252
54
-
-
5+8
-
4+8
Add to Reduce
5+5+8
2+5+2
5+4
-
-
13
-
12
Second Total
18
9
9
-
-
1+4
-
1+2
Reduce to Deduce
1+8
-
-
-
-
4
-
3
Essence of Number
9
9
9

 

GOD GAVE NOAH THE RAINBOW SIGN NO MORE WATER FIRE NEXT TIME

 

 

THE SIRIUS MYSTERY

Robert K.G.Temple 1976

Page 82

The Sacred Fifty

"We must return to the treatise 'The Virgin of the World'. This treatise is quite explicit in saying that Isis and Osiris were sent to help the Earth by giving primitive mankind the arts of civilization:
And Horus thereon said:

'How was it, mother, then, that Earth received God's Efflux?' And Isis said:

'I may not tell the story of (this) birth; for it is not permitted to describe the origin of thy descent, O Horus (son) of mighty power, lest afterwards the way-of-birth of the immortal gods should be known unto men - except so far that God the Monarch, the universal Orderer and Architect, sent for a little while thy mighty sire Osiris, and the mightiest goddess Isis, that they might help the world, for all things needed them.
'Tis they who filled life full of life. 'Tis they who caused the savagery of mutual slaughtering of men to cease. 'Tis they who hallowed precincts to the Gods their ancestors and spots for holy rites. 'Tis they who gave to men laws, food and shelter.'

"Page 73

A Fairy Tale

'I INVOKE THEE, LADY ISIS, WITH WHOM THE GOOD DAIMON DOTH UNITE,

HE WHO IS LORD IN THE PERFECT BLACK.'

 

 

THE SIRIUS MYSTERY

Robert K.G.Temple 1976

Page 74

"Mead quotes an Egyptian magic papyrus, this being an uncontested Egyptian document which he compares to a passage in the Trismegistic literature: 'I invoke thee, Lady Isis, with whom the Good Daimon doth unite, He who is Lord in the perfect black. '37
We know that Isis is identified with Sirius A, and here we may have a / Page 74 / description of her star-companion 'who is Lord in the perfect black', namely the invisible companion with whom she is united, Sirius B.
Mead, of course, had no inkling of the Sirius question. But he cited this magic papyrus in order to shed comparative light on some extraordinary passages in a Trismegistic treatise he translated which has the title 'The Virgin of the World'. In his comments on the magic papyrus Mead says: 'It is natural to make the Agathodaimon ("the Good Daimon") of the Papyrus refer to Osiris; for indeed it is one of his most frequent designations. Moreover, it is precisely Osiris who is pre-eminently connected with the so-called "under­world", the unseen world, the "mysterious dark". He is lord there. . . and indeed one of the ancient mystery-sayings was precisely, "Osiris is a dark God." ,
'The Virgin of the World' is an extraordinary Trismegistic treatise in the form of a dialogue between the hierophant (high priest) as spokesman for Isis and the neophyte who represents Horus. Thus the priest instructing the initiate is portrayed as Isis instructing her son Horus.
The treatise begins by claiming it is 'her holiest discourse' which 'so speaking Isis doth pour forth'. There is, throughout, a strong emphasis on the hierarchical principle of lower and higher beings in the universe - that earthly mortals are presided over at intervals by other, higher, beings who interfere in Earth's affairs when things here become hopeless, etc. Isis says in the treatise: 'It needs must, therefore, be the less should give place to the greater mysteries.' What she is to disclose to Horus is a great mystery. Mead describes it as the mystery practised by the arch-hierophant. It was the degree (here 'degree' is in the sense of 'degree' in the Masonic 'mysteries', which are hopelessly garbled and watered-down versions of genuine mysteries of earlier times) 'called the "Dark Mystery" or "Black Rite". It was a rite performed only for those who were judged worthy of it after long probation in lower degrees, something of a far more sacred character, apparently, than the instruction in the mysteries enacted in the light.'
Mead adds: 'I would suggest, therefore, that we have here a reference to the most esoteric institution of the Isiac tradition. . .', Isiac meaning of course 'Isis-tradition', and not to be confused with the Book of Isaiah in the Bible (so that perhaps it is best for us not to use the word-form 'Isiac').
It is in attempting to explain the mysterious 'Black Rite' of Isis at the highest degree of the Egyptian mysteries that Mead cited the magic papyrus which I have already quoted. He explains the 'Black Rite' as being connected with Osiris being a 'dark god' who is 'Lord of the perfect black' which is 'the unseen world, the mysterious black'.
This treatise 'The Virgin of the World' describes a personage called Hermes who seems to represent a race of beings who taught earthly mankind the arts of civilization after which: 'And thus, with charge unto his kinsmen of the Gods to keep sure watch, he mounted to the Stars'.
According to this treatise mankind have been a troublesome lot requiring scrutiny and, at rare intervals of crisis, intervention.
After Hermes left Earth to return to the stars there was or were in Egypt someone or some people designated as 'Tat' (Thoth) who were initiates into the celestial mysteries."

Page 77

"Bearing these books in mind (and I am sure they are there waiting under­ground like a time bomb for us), it is interesting to read this passage in 'The Virgin of the World' following shortly upon that previously quoted:
The sacred symbols of the cosmic elements were hid away hard by the secrets of Osiris. Hermes, ere he returned to Heaven, invoked a spell on them, and spake these words: . . . 'O holy books, who have been made by my immortal hands, by incorruption's magic spells. . . (at this point there is a lacuna as the text is hopeless) . . . free from decay throughout eternity remain and incorrupt from time! Become unseeable, unfindable, for every one whose foot shall tread the plains of this land, until old Heaven doth bring forth meet instruments for you, whom the Creator shall call souls.'
Thus spake he; and, laying spells on them by means of his own works, he shut them safe away in their own zones. And long enough the time has been since they were hid away.
In the treatise the highest objective of ignorant men searching for the truth
is described as: '(Men) will seek out. . . the inner nature of the holy spaces which no foot may tread, and will chase after them into the height, desiring to observe the nature of the motion of the Heaven.
'These are as yet moderate things. For nothing more remains than Earth's remotest realms; nay, in their daring they will track out Night, the farthest Night of all.'..."

Page 82

"We must note Stecchini's remarks about Delphi as follows :38
The god of Delphi, Apollo, whose name means 'the stone', was identified with an object, the omphalos, 'navel', which has been found. It consisted of an ovoidal stone. . . . The omphalos of Delphi was similar to the object which represented the god Amon in Thebes, the 'navel' of Egypt. In 1966 I presented to the annual meeting of the Archaeological Institute of America a paper in which I maintained that historical accounts, myths, and legends, and some monuments of Delphi, indicate that the oracle was established there by the Pharaohs of the Ethiopian Dynasty.

 

 

IN

THE

BEGINNING

WAS THE WORD AND THE WORD WAS

WITH

GOD AND THE WORD WAS GOD

THE

SAME WAS IN THE BEGINNING WITH

GOD ALL THINGS WERE MADE BY GOD AND WITHOUT GOD

WAS

NOT

ANYTHING

MADE THAT WAS MADE

IN

GOD

WAS LIFE AND THE LIFE WAS

THE

LIGHT

OF

HUMANKIND

AND THE

LIGHT

SHINETH IN THE DARKNESS AND THE DARKNESS COMPREHENDED IT NOT

 

 

I

AM

ALPHA AND OMEGA

THE BEGINNING AND THE END THE FIRST AND THE LAST

I

AM

THE ROOT AND THE OFFSPRING

OF

DAVID

AND

THE BRIGHT AND MORNING STAR

AND

THE SPIRIT AND THE BRIDE SAY COME

AND

LET THEM THAT HEARETH SAY COME

AND

LET THEM THAT IS ATHIRST COME

AND

WHOSOEVER WILL LET THEM TAKE THE WATER OF LIFE FREELY

 

 

THE CHRISTOS THE

CHRIST

 

CHRISTOS SEE HERE IS THE CHRISTOS

 

OSIRIS

 

 

THE HERMETICA

THE LOST WISDOM OF THE PHARAOHS

Timothy Freke & Peter Gandy

To the Memory of Giordano Bruno 1548 - 1600

Mundus Nihil Pulcherrimum

The World is a Beautiful Nothing

Page 23

"Although we have used the familiar term 'God' in the explanatory notes which accompany each chapter, we have avoided this term in the text itself. Instead we have used 'Atum - one of the ancient Egyptian names for the Supreme One God."

 

Page 45

The Being of Atum

"Atum is Primal Mind."

Page 45

The Being of Atum

Give me your whole awareness, and concentrate your thoughts, for Knowledge of Atum's Being requires deep insight, which comes only as a gift of grace.

It is like a plunging torrent of water whose swiftness outstrips any man who strives to follow it, leaving behind not only the hearer, but even the teacher himself.

To conceive of Atum is difficult.

To define him is impossible.

The imperfect and impermanent cannot easily apprehend the eternally perfected.

Atum is whole and conconstant.

In himself he is motionless, yet he is self-moving.

He is immaculate, incorruptible and ever-lasting.

He is the Supreme Absolute Reality. He is filled with ideas which are imperceptible to the senses, and with all-embracing Knowledge.

Atum is Primal Mind.

Page 46

He is too great to be called by the name 'Atum'. He is hidden, yet obvious everywhere.

His Being is known through thought alone, yet we see his form before our eyes.

He is bodiless, yet embodied in everything. There is nothing which he is not. He has no name, because all names are his name. He is the unity in all things, so we must know him by all names and call everything 'Atum'.

He is the root and source of all. Everything has a source, except this source itself, which springs from nothing.

Atum is complete like the number one, which remains itself whether multiplied or divided, and yet generates all numbers.

Atum is the Whole which contains everything. He is One, not two.

He is All, not many.

The All is not many separate things, but the Oneness that subsumes the parts.

The All and the One are identical.

You think that things are many when you view them as separate, but when you see they all hang on the One, /Page 47/ and flow from the One, you will realise they are united­linked together, and connected by a chain of Being from the highest to the lowest, all subject to the will of Atum.

The Cosmos is one as the sun is one, the moon is one and the Earth is one.

Do you think there are many Gods? That's absurd - God is one.

Atum alone is the Creator of all that is immortal, and all that is mutable.

If that seems incredible, just consider yourself. You see, speak, hear, touch, taste, walk, think and breathe.

It is not a different you who does these various things, but one being who does them all.

To understand how Atum makes all things, consider a farmer sowing seeds; here wheat - there barley,
now planting a vine - then an apple tree.

Just as the same man plants all these seeds, so Atum sows immortality in heaven and change on Earth.

Throughout the Cosmos he disseminates Life and movement­the two great elements that comprise Atum and his creation, and so everything that is.

Page 48

Atum is called 'Father' because he begets all things, and, from his example, the wise hold begetting children the most sacred pursuit of human life. Atum works with Nature, within the laws of Necessity, causing extinction and renewal, constantly creating creation to display his wisdom.

Yet, the things that the eye can see are mere phantoms and illusions.

Only those things invisible to the eye are real. Above all are the ideas of Beauty and Goodness.

Just as the eye cannot see the Being of Atum, so it cannot see these great ideas.

They are attributes of Atum alone, and are inseparable from him.

They are so perfectly without blemish that Atum himself is in love with them.

There is nothing which Atum lacks, so nothing that he desires.

There is nothing that Atum can lose, so nothing can cause him grief. Atum is everything.

Atum makes everything, and everything is a part of Atum.

Atum, therefore, makes himself.

This is Atum's glory - he is all-creative, and this creating is his very Being.

It is impossible for him ever to stop creating­for Atum can never cease to be.

Page 49

Atum is everywhere.

Mind cannot be enclosed, because everything exists within Mind.

Nothing is so quick and powerful.

Just look at your own experience. Imagine yourself in any foreign land, and quick as your intention you will be there!

Think of the ocean - and there you are.

You have not moved as things move, but you have travelled, nevertheless.

Fly up into the heavens - you won't need wings!

Nothing can obstruct you - not the burning heat of the sun, or the swirling planets.

Pass on to the limits of creation. Do you want to break out beyond the boundaries of the Cosmos?

For your mind, even that is possible.

Can you sense what power you possess? If you can do all this, then what about your Creator?

Try and understand that Atum is Mind.

This is how he contains the Cosmos. All things are thoughts which the Creator thinks."

 

 

SECRET CHAMBERS

Robert Bauval

1

999

Page82

THE EYE AND THE IRON THRONE OF OSIRIS

"There is a great deal of debate and confusion concerning the etymology of the name Osiris and the mysterious symbols attached to it. It may , surprise the reader to learn that the name is not Egyptian but Greek. The true and original name of the god in its most ancient form was As-Ar or Ausar, composed by two hieroglyphic signs of the 'throne' and the 'eye'.

Page 83

It is only much later, around 500 BC or so, that the Greeks gave it its classical pronounciation. The 'throne' almost certainly symbolises the 'throne of Osiris' or, more generally, the 'throne of divine kingship' -and in its other-worldly connotation, it may also stand for the 'throne of Osiris in the Duat'. Such a conclusion conforms with the role and function of Osiris as 'Lord of the Duat' and, at any rate, is confirmed by the many depictions in funerary art showing Osiris sitting on a throne in the so-called 'Judgement scene' where the god dispatches his verdict on the souls of the dead. There is an interesting variation of this depiction, however, in which Osiris is seen sitting on his throne placed on the summit of a pyramid or mound (see Fig. 13).107 Concerning this last, Rundle Clark had this to say:
    In this version (depiction) the central object is a Mound which is approached by steps. Inside is either the recumbent figure of Osiris or a figure which represents him illumined by the night sun during its underworld journey. The stepped hill is, of course, the Primeval Mound, but this time it is given directions. The goddesses of North and South, and sometimes signs for East and West, decorate the outside of the steps. . . .Above the mound Osiris sits enthroned, protected sometimes by a goddess, and approached by Horus and Thoth and a peculiar being carrying two stiff serpents arranged in an X. The first god (Horus) to approach Osiris presents him with the Horus Eye - the old motif of the recovery of Osiris which is as old as the Pyramid Texts. .. The figure with the crossed serpents is probably the Divine Word. . .108
   One of the most potent symbols of ancient Egypt is the Udjet sign, which is depicted by an 'eye'. So ingrained was this symbol that it has survived to this day, generally used as a talisman to ward off evil and danger .109 Although the term Udjet is of the feminine gender, the 'eye' is that of a falcon and is clearly associated with primitive falcon gods such as Horus and Sokar110 In his detailed study of the Udjet symbol, R.T. Rundle Clark shows that the 'eye' was also associated with the sun and the moon that represented the two eyes of the cosmic falcon. 111 Since one of these 'eyes', the moon, wanes and waxes in a cycle of one month, the ancients used numerical fractions of the value one to design the Udjet symbol; the act of 'putting together' the Udjet-eye symbolised the return of the full moon which, according to Clark, signalled the idea 'that all is well' and that 'Maat', the cosmic order, is undisturbedl12:
    I am seeking the Eye of Horus, that I might bring it back and count it. . . I am Thoth who brings back Maat . . . I am he who returns the Udjet Eye, I am he who abolishes its dimness, when its brightness was damaged. . . in the House of the Moon. . . 113

"I am seeking the Eye of Horus, that I might bring it back and count it."

 

I AM SEEKING THE I OF HORUS THAT I MIGHT BRING IT BACK AND COUNT IT

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
-
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
A
=
1
-
2
AM
14
5
5
-
1
-
-
-
5
-
-
-
-
S
=
1
-
7
SEEKING
70
34
7
-
-
-
-
-
-
-
7
8
-
T
=
2
-
3
THE
33
15
6
-
-
-
3
-
-
6
-
-
-
E
=
5
-
3
EYE
35
17
8
-
-
-
-
-
-
-
-
8
-
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
6
-
-
-
H
=
8
-
5
HORUS
81
27
9
-
-
-
3
-
-
-
-
-
9
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
7
-
-
I
=
9
-
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
M
=
4
-
5
MIGHT
57
30
3
-
-
-
3
-
-
6
-
-
-
B
=
2
-
5
BRING
50
32
5
-
1
-
-
-
5
-
-
-
-
I
=
9
-
2
IT
29
11
2
-
-
2
-
-
-
-
-
8
-
B
=
2
-
4
BACK
17
8
8
-
-
-
-
-
-
-
-
8
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
C
=
3
-
5
COUNT
73
19
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
2
IT
29
11
2
-
-
2
-
-
-
-
-
8
-
-
-
73
-
54
First Total
595
262
91
-
2
4
6
4
10
6
7
16
27
-
-
7+3
-
5+4
Add to Reduce
5+9+5
2+6+2
9+1
-
-
-
-
-
1+0
-
-
1+6
2+7
-
-
10
-
9
Second Total
19
10
10
-
2
2
6
4
1
6
7
7
9
-
-
1+0
-
-
Reduce to Deduce
1+9
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Third Total
10
1
1
-
2
2
6
4
1
6
7
7
9
-
-
-
-
-
Reduce to Produce
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Essence of Number
1
1
1
-
2
2
6
4
1
6
7
7
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
C
=
3
-
5
COUNT
73
19
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
2
IT
29
11
2
-
-
2
-
-
-
-
-
8
-
I
=
9
-
2
IT
29
11
2
-
-
2
-
-
-
-
-
8
-
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
6
-
-
-
M
=
4
-
5
MIGHT
57
30
3
-
-
-
3
-
-
6
-
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
7
-
-
A
=
1
-
2
AM
14
5
5
-
1
-
-
-
5
-
-
-
-
B
=
2
-
5
BRING
50
32
5
-
1
-
-
-
5
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
3
-
-
6
-
-
-
S
=
1
-
7
SEEKING
70
34
7
-
-
-
-
-
-
-
7
8
-
E
=
5
-
3
EYE
35
17
8
-
-
-
-
-
-
-
-
8
-
B
=
2
-
4
BACK
17
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
-
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
H
=
8
-
5
HORUS
81
27
9
-
-
-
3
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
-
-
73
-
54
First Total
595
262
91
-
2
4
6
4
10
6
7
16
27
-
-
7+3
-
5+4
Add to Reduce
5+9+5
2+6+2
9+1
-
-
-
-
-
1+0
-
-
1+6
2+7
-
-
10
-
9
Second Total
19
10
10
-
2
2
6
4
1
6
7
7
9
-
-
1+0
-
-
Reduce to Deduce
1+9
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Third Total
10
1
1
-
2
2
6
4
1
6
7
7
9
-
-
-
-
-
Reduce to Produce
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
Essence of Number
1
1
1
-
2
2
6
4
1
6
7
7
9

 

 

 

THE HOURS OF THE HORUS 1977

 

 

2

RA
19
10
1
6

RA ATUM
74
28
1
2

RE
23
14
5
6

OSIRIS
89
35
8
4

ISIS
56
20
2
7

NEPTHYS
107
35
8
8

NEPHTHYS
115
43
7
3

SET
44
8
8
5

HORUS
81
27
9
3

SHU
48
12
3
6

TEFNUT
86
23
5
4

PTAH
45
18
9
6

ANUBIS
66
21
3
3

GEB
14
14
5
3

NUT
55
10
1
5

NEITH
56
29
2
6

HATHOR
70
34
7
7

SEKHMET
81
27
9
5

THOTH
71
26
8
6

TEHUTI
83
29
2
6

SESHAT
72
18
9
4

MAAT
35
8
8
4

BAST
42
6
6
8

BUBASTIS
93
21
3
10

HERMOPOLIS
130
58
4
5

MAGNA
36
18
9
10

HELIOPOLIS
120
57
3
5

EGYPT
72
28
1
8

EL AMARNA
64
28
1
14

DENDERAH ZODIAC
117
72
9
8

DENDERAH
59
41
5
6

ZODIAC
58
31
4
7

PYRAMID
86
41
5
7

PHARAOH
67
40
4
14

PHARAOH PYRAMID
153
81
9
9

AKHENATEN
79
34
7
9

AKHETATEN
85
31
4
9

NEFERTITI
106
52
7
11

TUTANKHAMUN
144
36
9
11

TUTANKHATEN
135
36
9
3

TYI
54
18
9
3

MIN
36
18
9
9

SHEMSU - HOR
126
45
9
6

NETERS
81
27
9
6

NETERT
64
28
1
6

NETERU
83
29
2
5

ORION
71
35
8
3

ANU
36
9
9
6

CHIRON
67
40
4
10

THUTHMOSIS
152
44
8
7

KEPHRON
77
41
5
6

CHRIST
77
32
5
8

NEPHILIM
86
50
5
7

MINERVA
82
37
1
6

SIRIUS
95
32
5
3

SIR
46
19
1
4

SIRE
51
24
6
6

SIRIUN
81
27
9
8

RAMESSES
99
27
9
7

PTOLEMY
106
34
7
9

CLEOPATRA
91
37
1
7

IMHOTEP
86
41
5
10

ALEXANDRIA
89
44
8
10

AEGYPTIACA
88
43
7
7

PAPYRUS
116
35
8
6

PAPYRI
85
40
4
5

OASIS
63
27
9
4

NILE
40
22
4
8

HORAKHTI
90
45
9
8

HORAKHTY
106
43
7
10

RE HARAKHTI
99
54
9
7

ABRAXAS
66
21
3
11

ABRACADABRA
52
34
7
10

HIEROGLYPH
123
69
6
11

HIEROGLYPHS
142
70
7
12

HIEROGLYPHIC
135
81
9
11

SOKAR OSIRIS
153
54
9
8

OSIRIS RA
108
45
9
6

SOTHIS
90
27
9
14

PYRAMID PHARAOH
153
81
9
6

AVARIS
70
25
7
6

KARNAK
56
20
2
7

KEPHRI
67
40
4
9

MERENPTAH
100
46
1
4

ANKH
34
16
7
4

WADJ
38
11
2
8

NEOPHYTE
108
45
9
6

AMULET
72
18
9
7

PHOENIX
91
46
1
6

BEN BEN
42
24
6
6

MARDUK
68
23
5
12

KHEPRI RE ATUM
118
46
1
6

ROSTAU
94
22
4
4

DUAT
46
10
1
4

ATON
50
14
5
4

ATEN
40
13
4
4

ATUM
55
10
1

 

 

6

SAHARA
48
21
3
6

DESERT
71
26
8
7

SAKKARA
62
17
8
4

SAND
38
11
2
4

GIZA
43
25
7
5

GIZEH
55
37
1
5

GIZAH
51
33
6
8

OSIREION
104
50
5
10

PYRAMIDION
124
61
7
3

ARQ
36
18
9
10

HAR-EM-AKHET
90
45
9
3

RED
27
18
9
7

SEP TEPI
90
36
9
6

SPHINX
90
36
9
3

SUN
54
9
9
8

SYCAMORE
99
36
9
3

OAK
27
9
9
5

PENIS
63
27
9
6

VAGINA
54
27
9
4

RAYS
63
18
9
7

MANETHO
76
31
4
4

MOON
57
21
3
5

EARTH
52
25
7
7

MEMPHIS
83
38
2
3

RAM
32
14
5
8

BOUSSARD
99
27
9
14

STELE OF CONOPUS
171
54
9
12

ROSETTA STONE
171
45
9
6

SCARAB
44
17
8
7

SCARABS
63
18
9
5

MAGIC
33
24
6
9

AMENOPHIS
100
46
1
4

EDFU
36
18
9
7

ZEP TEPI
97
43
7
3

UAS
41
5
5
4

UNAS
55
10
1
5

BIRTH
57
30
3
2

OF
21
12
3
2

RA
19
10
1
9

BIRTH OF RA
97
52
7
4

HAPI
34
25
7
5

SINAI
52
25
7
3

DAD
9
9
9
7

CHEMNIS
71
35
8
6

ASHEMU
67
23
5
6

BASTET
67
13
4
4

BAST
42
6
6
11

SEKHET-HETEP
101
38
2
4

TUAT
62
8
8
4

DUAT
46
10
1
14

REU-NU-PERT-EM-HRU
203
77
5
10

SHAT AM TUAT
124
25
7
5

PYLON
82
28
1
6

PYTHON
83
29
2
6

THEBES
59
23
5
10

NETER KHERT
124
52
7
4

SAIS
48
12
3
10

ALEXANDRIA
89
44
8
9

ALEXANDER
84
39
3
17

ALEXANDER THE GREAT
168
78
6
8

IKHNATON
92
38
2
9

AMENHOTEP
97
43
7
9

NEFERTITI
106
52
7
9

AMENOPHIS
100
46
1
4

AMEN
33
15
6
9

AMENEMHET
84
39
3
6

AMARNA
48
21
3
5

HORIB
52
34
7
5

KAFRE
41
23
5
7

CHEFREN
59
41
5
12

HET-BENBENNET
114
60
6
3

HET
33
15
6
9

BENBENNET
81
45
9
3

BJA
13
4
4
5

BENNU
56
20
2
6

BEN BEN
42
24
6
3

BEN
21
12
3
9

PHOENICIA
80
53
8
7

PHYRGIA
84
48
3
4

PHYR
67
31
4
4

FIRE
38
29
2
4

PYRE
64
28
1
6

CHEOPS
66
30
3
5

LUXOR
90
27
9
6

AL KEMI
51
24
6

 

 

8
 OSIRIS RA
108
36
9
5

HORUS
81
27
9
4

PTAH
45
18
9
7

SEKHMET
81
27
9
6

SESHAT
72
18
9
5

MAGNA
36
18
9
14

DENDERAH ZODIAC
117
72
9
14

PHARAOH PYRAMID
153
81
9
9
 THUTMOSIS
144
36
9
11

TUTANKHAMUN
144
36
9
11

TUTANKHATEN
135
36
9
3

TYI
54
18
9
3

MIN
36
18
9
9

SHEMSU HOR
126
45
9
6

NETERS
81
27
9
3

ANU
36
9
9
6

SIRIUN
81
27
9
8

RAMESSES
99
27
9
5

OASIS
63
27
9
8

HORAKHTI
90
45
9
10

RE HARAKHTI
99
54
9
12

HIEROGLYPHIC
135
81
9
18

RA PTAH AMON AMEN ATEN
180
72
9
11

SOKAR OSIRIS
153
54
9
8

OSIRIS RA
108
45
9
6

SOTHIS
90
27
9
14

PYRAMID PHARAOH
153
81
9
8

NEOPHYTE
108
45
9
6

AMULET
72
18
9
3

ARQ
36
18
9
10

HAR-EM-AKHET
90
45
9
3

RED
27
18
9
7

SEP TEPI
90
36
9
6

SPHINX
90
36
9
3

SUN
54
9
9
8

SYCAMORE
99
36
9
5

PENIS
63
27
9
6

VAGINA
54
27
9
4

RAYS
63
18
9
8

BOUSSARD
99
27
9
14

STELE OF CONOPUS
171
54
9
12

ROSETTA STONE
171
45
9
7

SCARABS
63
18
9
4

EDFU
36
18
9
3

OAK
27
9
9
9

BENBENNET
81
45
9
5

LUXOR
90
27
9

 

 

6

OSIRIS
89
35
8
7

NEPTHYS
107
35
8
3

SET
44
8
8
5

THOTH
71
26
8
4

MAAT
35
8
8
5

ORION
71
35
8
10

THUTHMOSIS
152

44
8
10

ALEXANDRIA
89
44
8
7

PAPYRUS
116
35
8
7

SAKKARA
62
17
8
6

SCARAB
44
17
8
7

CHEMNIS
71
35
8
4

TUAT
62
8
8
10

ALEXANDRIA
89
44
8
9

PHOENICIA
80
53
8
9

SOLAR RAYS
125
44
8
5

SOLAR
62
26
8
6

DESERT
71
26
8

 

 

8

NEPHTHYS
115
43
7
6

HATHOR
70
34
7
9

AMENHOTEP
97
43
7
9

AKHENATEN
79
34
7
9

NEFERTITI
106
52
7
7

PTOLEMY
106
34
7
10

AEGYPTIACA
88
43
7
8

HORAKHTY
106
43
7
11

ABRACADABRA
52
34
7
11

HIEROGLYPHS
142
70
7
6

AVARIS
70
25
7
4

ANKH
34
16
7
4

GIZA
43
25
7
10

PYRAMIDION
124
61
7
5

EARTH
52
25
7
7

ZEP TEPI
97
43
7
9

BIRTH OF RA
97
52
7
4

HAPI
34
25
7
5

SINAI
52
25
7
10

SHAT AM TUAT
124
25
7
10

NETER KHERT
124
52
7
5

HORIB
52
34
7

 

 

4

BAST
42
6
6
10

HIEROGLYPH
123
69
6
6

BEN BEN
42
24
6
5

GIZAH
51
33
6
5

MAGIC
33
24
6
4

SIRE
51
24
6
4

BAST
42
6
6
17

ALEXANDER THE GREAT
168
78
6
4

AMEN
33
15
6
12

HET-BENBENNET
114
60
6
3

HET
33
15
6
6

BEN BEN
42
24
6
6

AL KEMI
51
24
6

 

 

2

RE
23
14
5
6

TEFNUT
86
23
5
3

GEB
14
14
5
8

DENDERAH
59
41
5
7

PYRAMID
86
41
5
7

KEPHRON
77
41
5
6

CHRIST
77
32
5
8

NEPHILIM
86
50
5
6

SIRIUS
95
32
5
7

IMHOTEP
86
41
5
6

MARDUK
68
23
5
4

ATON
50
14
5
8

OSIREION
104
50
5
3

RAM
32
14
5
3

UAS
41
5
5
6

ASHEMU
67
23
5
14

REU-NU-PERT-EM-HRU
203
77
5
6

THEBES
59
23
5
5

KAFRE
41
23
5
7

CHEFREN
59
41
5

 

 

10

HERMOPOLIS
130
58
4
6

ZODIAC
58
31
4
7

PHARAOH
67
40
4
9

AKHETATEN
85
31
4
6

CHIRON
67
40
4
6

PAPYRI
85
40
4
4

NILE
40
22
4
7

KEPHRI
67
40
4
6

ROSTAU
94
22
4
4

ATEN
40
13
4
7

MANETHO
76
31
4
6

BASTET
67
13
4
3

BJA
13
4
4
4

PHYR
67
31
4

 

 

3

SHU
48
12
3
6

ANUBIS
66
21
3
8

BUBASTIS
93
21
3
10

HELIOPOLIS
120
57
3
7

ABRAXAS
66
21
3
6

SAHARA
48
21
3
4

MOON
57
21
3
5

BIRTH
57
30
3
2

OF
21
12
3
4

SAIS
48
12
3
9

AMENEMHET
84
39
3
6

AMARNA
48
21
3
3

BEN
21
12
3
7

PHYRGIA
84
48
3
6

CHEOPS
66
30
3

 

 

4

ISIS
56
20
2
5

NEITH
56
29
2
6

TEHUTI
83
29
2
6

NETERU
83
29
2
6

KARNAK
56
20
2
7

MEMPHIS
83
38
2
4

WADJ
38
11
2
11

SEKHET-HETEP
101
38
2
6

PYTHON
83
29
2
8

IKHNATON
92
38
2
5

BENNU
56
20
2
4

FIRE
38
29
2

 

 

2

RA
19
10
1
6

RA ATUM
74
28
1
3

NUT
55
10
1
5

EGYPT
72
28
1
8

EL AMARNA
64
28
1
6

NETERT
64
28
1
7

MINERVA
82
37
1
9

CLEOPATRA
91
37
1
9

MERENPTAH
100
46
1
7

PHOENIX
91
46
1
12

KHEPRI RE ATUM
118
46
1
4

DUAT
46
10
1
4

ATUM
55
10
1
5

GIZEH
55
37
1
9

AMENOPHIS
100
46
1
4

UNAS
55
10
1
3

SIR
46
19
1
5

PYLON
82
28
1
9

AMENOPHIS
100
46
1
4

PYRE
64
28
1

 

 

8

RAMESSES
I
1293-1291
99
27
9

8

RAMESSES
II
1279-1212
99
27
9

8

RAMESSES

III
1182-1151
99
27
9

8

RAMESSES

IV
1151-1145
99
27
9

8

RAMESSES

V
1145-1141
99
27
9

8

RAMESSES

VI
1141-1133
99
27
9

8

RAMESSES

VII
1133-1126
99
27
9

8

RAMESSES

VIII
1133-1126
99
27
9

8

RAMESSES

IX
1126-1108
99
27
9

8

RAMESSES

X
1108-1098
99
27
9

8

RAMESSES

XI
1098-1070
99
27
9

 

 

7

PTOLEMY

I
106
34
7

7

PTOLEMY
II
106
34
7

7

PTOLEMY
III
106
34
7

7

PTOLEMY

IV
106
34
7

7

PTOLEMY

V
106
34
7

7

PTOLEMY

VI
106
34
7

7

PTOLEMY

VII
106
34
7

7

PTOLEMY

VIII
106
34
7

7

PTOLEMY
IX
106
34
7

7

PTOLEMY
X
106
34
7

7

PTOLEMY
XI
106
34
7

7

PTOLEMY

XII
106
34
7
7

PTOLEMY

XIII
106
34
7
7

PTOLEMY

XIV
106
34
7
7

PTOLEMY

XV
106
34
7
9

CLEOPATRA
-
91
37
1

 

 

-
EGYPT
-
-
-
-
-
-
1
E
5
5
5
-
-
5
1
G
7
7
7
-
7
-
1
Y
25
7
7
-
7
-
1
P
16
7
7
-
7
-
1
T
20
2
2
-
-
2
5
EGYPT
73
28
28
-
21
7
-
-
7+3
2+8
2+8
-
2+1
-
5
EGYPT
10
10
10
--
3
7
-
-
1+0
1+0
1+0
-
-
-
5
EGYPT
1
7
7
-
3
7

 

 

-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
7
7
7
-
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
31
5
E
G
Y
P
T
-
-
14
-
-
5
-
28
-
10
3+1
-
-
7
7
7
-
-
-
1+4
-
-
-
-
2+8
-
1+0
4
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
-
5
-
+
-
2
=
7
-
-
-
-
-
1+0
-
-
4
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
-
5
7
7
7
2
-
-
-
-
-
-
-
1+0
-
-
4
5
E
G
Y
P
T
-
-
5
-
-
5
-
1
-
1

 

 

5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
7
7
7
-
-
-
7
occurs
x
3
=
21
2+1
3
5
E
G
Y
P
T
-
-
14
-
-
5
-
28
-
10
-
-
7
7
7
-
-
-
1+4
-
-
-
-
2+8
-
1+0
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
5
-
+
-
2
=
7
-
-
-
-
-
1+0
-
-
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
5
7
7
7
2
-
-
-
-
-
-
-
1+0
-
-
5
E
G
Y
P
T
-
-
5
-
-
5
-
1
-
1

 

 

E
=
5
-
5
EGYPT
73
28
1
-
-
-
-
-
-
-
-
-
P
=
7
-
7
PHARAOH
67
40
4
-
-
-
-
-
-
-
-
-
P
=
7
-
7
PYRAMID
86
41
5
-
-
-
-
-
-
-
-
-
-
-
19
-
19
Add
226
109
10
-
-
1+9
-
1+9
Reduce
2+2+6
2+2+5
1+0
-
-
10
-
10
Deduce
10
10
1
-
-
1+0
-
1+0
Produce
1+0
1+0
-
-
-
1
-
1
Essence
1
1
1

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
EGYPT
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
-
5
EGYPT
73
28
28
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
PHARAOH
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
2
HA
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
2
A+O
16
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
P
=
7
-
7
PHARAOH
67
40
40
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
PYRAMID
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
A+M
14
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
P
=
7
-
7
PYRAMID
86
41
41
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
19
-
19
Add
226
109
109
-
1
2
3
4
10
6
49
8
36
-
-
1+9
-
1+9
Reduce
2+2+6
2+2+5
2+2+5
-
-
-
-
-
1+0
-
4+9
-
3+6
-
-
10
-
10
Deduce
10
10
10
-
1
2
3
4
1
6
13
8
9
-
-
1+0
-
1+0
Produce
1+0
1+0
1+0
-
-
-
-
-
-
-
1+3
-
-
-
-
1
-
1
Essence
1
1
1
-
1
2
3
4
1
6
4
8
9

 

 

-
-
-
-
-
-
-
-
-
-
2
4
5
7
8
9
-
-
-
-
-
EGYPT
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
5
-
-
-
-
-
-
-
1
G
7
7
7
-
-
-
-
7
-
-
-
-
-
-
1
Y
25
7
7
-
-
-
-
7
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
7
-
-
-
-
-
-
1
T
20
2
2
-
2
-
-
-
-
-
E
=
5
-
5
EGYPT
73
28
28
-
-
-
-
-
-
-
-
-
-
-
-
PHARAOH
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
7
-
-
-
-
-
-
2
HA
9
9
9
-
-
-
-
-
-
9
-
-
-
-
1
R
18
9
9
-
-
-
-
-
-
9
-
-
-
-
2
A+O
16
7
7
-
-
-
-
7
-
-
-
-
-
-
1
H
8
8
8
-
-
-
-
-
8
-
P
=
7
-
7
PHARAOH
67
40
40
-
-
-
-
-
-
-
-
-
-
-
-
PYRAMID
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
7
-
-
-
-
-
-
1
Y
25
7
7
-
-
-
-
7
-
-
-
-
-
-
1
R
18
9
9
-
-
-
-
-
-
9
-
-
-
-
1
A+M
14
5
5
-
-
-
5
-
-
-
-
-
-
-
1
I
9
9
9
-
-
-
-
-
-
9
-
-
-
-
1
D
4
4
4
-
-
4
-
-
-
-
P
=
7
-
7
PYRAMID
86
41
41
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
19
-
19
Add
226
109
109
-
2
4
10
49
8
36
-
-
1+9
-
1+9
Reduce
2+2+6
2+2+5
2+2+5
-
-
-
1+0
4+9
-
3+6
-
-
10
-
10
Deduce
10
10
10
-
2
4
1
13
8
9
-
-
1+0
-
1+0
Produce
1+0
1+0
1+0
-
-
-
-
1+3
-
-
-
-
1
-
1
Essence
1
1
1
-
2
4
1
4
8
9

 

 

ENNEAD AND ENE AND ENNEAD

ENNEAD AND 555 AND ENNEAD

ENNEAD AND ENE AND ENNEAD

 

 

-
-
-
-
-
ENNEAD
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
2
A+D
5
5
5
E
=
5
-
6
ENNEAD
43
25
25
-
-
-
-
-
-
4+3
2+5
2+5
E
=
5
-
6
ENNEAD
7
7
7

 

 

ENTERS THE E THE E ENTERS

ENTERS THE FIVE THE FIVE ENTERS

 

THE

HOURS OF HORUS

IS

 

 

Word Records > Longest Words This is the longest word in the first edition of the Oxford English Dictionary. Interestingly the most common letter in English, E, does not appear in this ...
www.fun-with-words.com/word_longest.html - Cached - Similar

 

What is the most common letter? | Answerbag What is the most common letter? the bills they keep sending me. ... Im Alec. The most common letters in the English language are, in order, ETAOINSHRDLU. ...
www.answerbag.com/q_view/111800 - Cached - Similar

 

Herbert S. Zim, in his classic introductory cryptography text "Codes and Secret Writing", gives the English letter frequency sequence as "ETAON RISHD LFCMU GYPWB VKXJQ Z", the most common letter pairs as "TH HE AN RE ER IN ON AT ND ST ES EN OF TE ED OR TI HI AS TO", and the most common doubled letters as "LL EE SS OO TT FF RR NN PP CC".[1]

"ETAON RISHD LFCMU GYPWB VKXJQ Z"

 

 

THEN WE ALL STARTED SINGING LOOK AT THE FIVES LOOK AT THE FIVES LOOK

AT

THE FIVES THE FIVES THE FIVES

AND

THEN LO AND BEHOLD YOU GOT THE MESSAGE

AND

YOU STARTED TO LAUGH AND SING

AND

SUDDENLY

OUT

OF

NOTHINGNESS

WOWEEWOW

WE WERE ALL LAUGHING SINGING AND DANCING

WOW O WOW

NOW WE KNOW KNOW WE NOW

IF THAT ISN'T INNER MAGIC FOR YOU WHAT IS

 

 

-
-
-
-
-
PHARAOH
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
2
HA
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
3
A+O+H
24
15
6
P
=
7
-
7
PHARAOH
67
40
31
-
-
-
-
-
-
6+7
4+0
3+1
P
=
7
-
7
PHARAOH
13
4
4
-
-
-
-
-
-
1+3
-
-
P
=
7
-
7
PHARAOH
4
4
4

 

 

-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
8
+
=
22
2+2
=
4
=
4
=
4
-
-
-
8
-
-
-
15
8
+
=
31
3+1
=
4
=
4
=
4
-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
7
-
1
9
1
-
-
+
=
18
1+8
=
9
=
9
=
9
-
-
16
-
1
18
1
-
-
+
=
36
3+6
=
9
=
9
=
9
-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
16
8
1
18
1
15
8
+
=
67
6+7
=
13
1+3
4
=
4
-
-
7
8
1
9
1
6
8
+
=
40
4+0
=
4
=
4
=
4
-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
14
7
P
H
A
R
A
O
H
-
-
31
-
-
8
-
40
-
31
1+4
-
-
-
-
9
-
-
-
-
-
3+1
-
-
-
-
4+0
-
3+1
5
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4
-
-
7
8
1
9
1
6
8
-
-
-
-
-
-
-
-
-
-
5
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4

 

 

7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
8
+
=
22
2+2
=
4
=
4
=
4
-
-
8
-
-
-
15
8
+
=
31
3+1
=
4
=
4
=
4
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
7
-
1
9
1
-
-
+
=
18
1+8
=
9
=
9
=
9
-
16
-
1
18
1
-
-
+
=
36
3+6
=
9
=
9
=
9
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
16
8
1
18
1
15
8
+
=
67
6+7
=
13
1+3
4
=
4
-
7
8
1
9
1
6
8
+
=
40
4+0
=
4
=
4
=
4
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
P
H
A
R
A
O
H
-
-
31
-
-
8
-
40
-
31
-
-
-
-
9
-
-
-
-
-
3+1
-
-
-
-
4+0
-
3+1
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4
-
7
8
1
9
1
6
8
-
-
-
-
-
-
-
-
-
-
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4

 

 

THE NEW VIEW OVER ATLANTIS

John Michell 1983

Page 144

"The problem is to establish the ideas and intentions of the builders. Stecchini has suggested that the apex was designed to be slightly off-centre with each base side of slightly different length, and with different angles of slope, thus providing four base-height relationships, each exhibiting a particular mathematical formula. By this means the functions of both..." Pi and the ratio of the 'golden section' "...could be demonstrated together in the one structure.

In addition, there was another device by which the Egyptians were able to incorporate different mathematical expressions within a unified nework. That device was the pyramidion, a miniature form of the Pyramid itself, which provided its apex. Other pyramids and obelisks Egypt are known to have been topped by a pyramidion, made of gold or some other metal, which glowed in the sun. Tompkins and Stechini quote a reference by a second-century BC Greek writer, Agatharchides of Cnidus, to a pyramidion at the apex of the Great Pyramid, which could be included in calculations or omitted, thus providing a variety of mathematical demonstrations."

Page 149

"...If, as its legend states, the Pyramid was designed to monumentalize the entire code of ancient scientific knowledge, its makers would have needed to grade the pyramidion by scoring it with horizontal lines to represent different versions of the height or even by separating it into detachable sections. The image here is of an inscribed marble capstone, its tip formed of another, miniature pyramid, perhap made of some other material. This, and perhaps other sections of the upper part of the pyramidion, could be removed or put in place as required.

But why should such a thing ever in practice be required, and why should such trouble be taken over capstone, pyramidions and minute rariations of length? These are questions which need to be discussed in relation to the Pyramid's practical function.

The Golden Tip

As the literature of the Pyramid measurers shows, many large volumes can be filled with estimates of the Pyramid's external and internal iimensions and speculations about their geodetic, astronomical and prophetic symbolism. The study is so obsessively fascinating that researchers are inclined to lose sight of the most important question of why the whole vast edifice was built. There is no doubt that within the Pyramid's fabric are encoded many scientific laws and formulas, but the preservation of such knowledge can scarcely have been the only motive of its builders. Its numerical properties must surely have had some practical purpose in relation to the form of science which the Pyramid was designed to serve.

There has been much talk in recent years of 'pyramid power' and the possible function of the Great Pyramid as an accumulator and trans-former of cosmic energies. The idea certainly accords with the :raditional use of the Pyramid in connection with initiation, magic and nysticism, and it is supported by the occurrence of symbolic or 'magical' number series in its dimensions. The use of symbolic numbers in ancient temples was to procure the invocation of the god or aspect of cosmic energy which those numbers symbolized. Pyramid investigators ire confronted with an instrument designed for a type of science which today is no longer recognized. It is not, however, beyond recovery, for its records are preserved in the language of number, built into the Pyramid's dimensions, and these provide certain clues to the nature of the Pyramid's original function.

All Pyramid measurers, and all who study its dimensions, purpose or any of its other aspects, find themselves inexorably drawn to the matter of its apex. Many of the clues within the Pyramid's geometry / Page 150 / and numbets point towards it, and several investigators have expressed the feeling that these clues were deliberately contrived, as if the builders were concerned to leave a record of their scientific code in monumental form, to be interpreted and put to use again by some future generation. Peter Lemesurier, the latest and most convincing of the interpreters of Pyramid chronologies and. prophecy, gives detailed reasons in his Great Pyramid Decoded for claiming that the historical outline of the six thousand years following its building in 2623 BC is recorded in the dimensions of the Pyramid's interior spaces. They are said to foretell the collapse of the present civilization in about the year AD 2004, followed some thirty years later by the Messianic return and the birth of a new order. That, according to other readers of Pyramid prophecy, is the time when the 'stone that the builders rejected', the missing capstone on the Pyramid, will be restored to the apex, reactivating the entire structure in accordance with its original purpose..."

" 2623 BC "

2 x 6 x 2 x 3 = 72

Page 150

"Were it not for the common but inappropriate use of metric units in publishing details of antique weights, that feature would be more generally recognized."

 

"A series of clues to the composition of the final pyramidion at the very apex of the Pyramid begins with an observation in A.E. Berriman's Historical Metrology on the antiquity of the British or Imperial inch. There are a number of old Egyptian weights in the British Museum, and others from Greece and Babylon, whose standard of reference has proved to be the cubic inch of gold. Were it not for the common but inappropriate use of metric units in publishing details of antique weights, that feature would be more generally recognized. Five is the number chiefly associated with the pyramid form; which has five faces and five corners, and if 5 cubic inches of solid gold are modelled into the shape of a miniature Great Pyramid, the height of that model proves to be the very interesting measure of 0.152064 ft., which is a tenth part of the Greek cubit (1.52064 ft.), the unit in terms of which /

Diagram omitted.

. 152 ft

A cubic inch of gold, actual size, in pyramid form. Height = one tenthof a Greek cubit.

Page 151 / the area of the Pyramid's side measures 100,000 square cubits. That this small gold pyramidion was an integral part of the Pyramid's design is evident from the figures. Without it the dimensions are not quite complete, for if it were removed, the area of the Pyramid's side would be 99999.99 square cubits only. With the 5 cubic inches of gold pyramidion in place, the figure of 100,000 square cubits represents the total area..."

 

"That this small gold pyramidion was an integral part of the Pyramid's design is evident from the figures.

Without it the dimensions are not quite complete, for if it were removed,

the area of the Pyramid's side would be

99999.99

square cubits only."

"Without it the dimensions are not quite complete, for if it were removed,

the area of the Pyramid's side would be

99999.99

square cubits only."

"for if it were removed, the area of the Pyramid's side would be

99999.99

square cubits only."

"the Pyramid's side would be

99999.99"

 

9999999

 

 

THE NEW VIEW OVER ATLANTIS

John Michell 1983

Page 150

"A series of clues to the composition of the final pyramidion at the very apex of the Pyramid begins with an observation in A.E. Berriman's Historical Metrology on the antiquity of the British or Imperial inch. There are a number of old Egyptian weights in the British Museum, and others from Greece and Babylon, whose standard of reference has proved to be the cubic inch of gold. Were it not for the common but inappropriate use of metric units in publishing details of antique weights, that feature would be more generally recognized. Five is the number chiefly associated with the pyramid form; which has five faces and five corners,

PYRAMID = 86 = PYRAMID

PYRAMID = 41 = PYRAMID

PYRAMID = 5 = PYRAMID

Five is the number chiefly associated with the pyramid form; which has five faces and five corners,

 

 

-
-
-
-
-
PYRAMID
-
-
-
-
-
-
-
1
P+Y
41
14
5
-
-
-
-
1
R
18
9
9
-
-
-
-
1
A+M
14
5
5
-
-
-
-
1
I
9
9
9
-
-
-
-
1
D
D
4
4
P
=
7
-
7
PYRAMID
86
41
32
-
-
-
-
-
-
8+6
4+1
3+2
P
=
7
-
7
PYRAMID
14
5
5
-
-
-
-
-
-
1+4
-
-
P
=
7
-
7
PYRAMID
5
5
5

 

 

-
-
-
-
-
PYRAMID
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
1
Y
25
7
7
-
-
-
-
1
R
18
9
9
-
-
-
-
1
A
1
1
1
-
-
-
-
1
M
13
4
4
-
-
-
-
1
I
9
9
9
-
-
-
-
1
D
4
4
4
P
=
7
-
7
PYRAMID
86
41
41
-
-
-
-
-
-
8+6
4+1
4+1
P
=
7
-
7
PYRAMID
14
5
5
-
-
-
-
-
-
1+4
-
-
P
=
7
-
7
PYRAMID
5
5
5

 

 

-
14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
9
-
+
=
9
-
=
9
=
9
=
9
-
14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
-
7
7
9
1
4
-
4
+
=
32
3+2
=
5
=
5
=
5
-
-
16
25
18
1
13
-
4
+
=
77
7+7
=
14
1+4
5
=
5
-
14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
-
16
25
18
1
13
9
4
+
=
86
8+6
=
14
1+4
5
=
5
-
-
7
7
9
1
4
9
4
+
=
41
4+1
=
5
=
5
=
5
-
14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
4
occurs
x
2
=
8
=
8
5
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
7
7
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
5
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
24
7
P
Y
R
A
M
I
D
-
-
21
-
-
7
-
41
-
23
2+4
-
-
-
9
-
-
9
-
-
-
2+1
-
-
-
-
4+1
-
2+3
6
7
P
Y
R
A
M
I
D
-
-
3
-
-
7
-
5
-
5
-
-
7
7
9
1
4
9
4
-
-
-
-
-
-
-
-
-
-
6
7
P
Y
R
A
M
I
D
-
-
3
-
-
7
-
5
-
5

 

 

14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
9
-
+
=
9
-
=
9
=
9
=
9
14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
7
7
9
1
4
-
4
+
=
32
3+2
=
5
=
5
=
5
-
16
25
18
1
13
-
4
+
=
77
7+7
=
14
1+4
5
=
5
14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
16
25
18
1
13
9
4
+
=
86
8+6
=
14
1+4
5
=
5
-
7
7
9
1
4
9
4
+
=
41
4+1
=
5
=
5
=
5
14
P
Y
R
A
M
I
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
4
-
4
-
-
4
occurs
x
2
=
8
=
8
-
7
7
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
9
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
7
P
Y
R
A
M
I
D
-
-
21
-
-
7
-
41
-
23
-
-
-
9
-
-
9
-
-
-
2+1
-
-
-
-
4+1
-
2+3
7
P
Y
R
A
M
I
D
-
-
3
-
-
7
-
5
-
5
-
7
7
9
1
4
9
4
-
-
-
-
-
-
-
-
-
-
7
P
Y
R
A
M
I
D
-
-
3
-
-
7
-
5
-
5

 

 

P
=
7
-
7
PYRAMID
86
41
5
P
=
7
-
7
PMARYID
86
41
5

 

 

-
14
P
-
Y
R
A
M
-
I
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
9
-
+
=
9
-
=
9
=
9
=
9
-
14
P
-
Y
R
A
M
-
I
D
-
-
-
-
-
-
-
-
-
-
-
-
7
-
7
9
1
4
-
-
4
-
-
32
3+2
=
5
=
5
=
5
-
-
16
-
25
18
1
13
-
-
4
-
-
77
7+7
=
14
1+4
5
=
5
-
14
P
-
Y
R
A
M
-
I
D
-
-
-
-
-
-
-
-
-
-
-
-
7
-
7
9
1
4
-
9
4
+
=
41
4+1
=
5
=
5
=
5
-
-
16
-
25
18
1
13
-
9
4
+
=
86
8+6
=
14
1+4
5
=
5
-
14
P
-
Y
R
A
M
-
I
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
14
P
-
M
A
R
Y
-
I
D
-
-
-
-
-
-
-
-
-
-
-
-
7
-
4
1
9
7
-
-
4
+
=
32
3+2
=
5
=
5
=
5
-
-
16
-
13
1
18
25
-
-
4
+
=
77
7+7
=
14
1+4
5
=
5
-
14
P
-
M
A
R
Y
-
I
D
-
-
-
-
-
-
-
-
-
-
-
-
16
-
13
1
18
25
-
9
4
+
=
86
8+6
=
14
1+4
5
=
5
-
-
7
-
4
1
9
7
-
9
4
+
=
41
4+1
=
5
=
5
=
5
-
14
P
-
M
A
R
Y
-
I
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
4
-
-
4
occurs
x
2
=
8
=
8
5
-
-
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
7
-
-
-
-
7
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
5
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
24
7
P
-
M
A
R
Y
-
I
D
-
-
21
-
-
7
-
41
-
23
2+4
-
-
-
-
-
9
-
-
9
-
-
-
2+1
-
-
-
-
4+1
-
2+3
6
7
P
-
M
A
R
Y
-
I
D
-
-
3
-
-
7
-
5
-
5
-
-
7
-
4
1
9
7
-
9
4
-
-
-
-
-
-
-
-
-
-
6
7
P
-
M
A
R
Y
-
I
D
-
-
3
-
-
7
-
5
-
5

 

PYRAMID P MARY ID ID P MARY PYRAMID

Y RAM MARY MARY Y RAM

MARRY MARY MARY MARRY

P MARY ID PYRAMID PYRAMID ID MARY P

 

 

-
-
-
-
-
PYRAMIDS
-
-
-
-
-
-
-
1
P+Y
41
14
5
-
-
-
-
1
R
18
9
9
-
-
-
-
1
A+M
14
5
5
-
-
-
-
1
I
9
9
9
-
-
-
-
1
D+S
23
5
5
P
=
7
-
7
PYRAMIDS
105
42
33
-
-
-
-
-
-
1+0+5
4+2
3+3
P
=
7
-
7
PYRAMIDS
6
6
6
-
-
-
-
-
-
-
-
-
P
=
7
-
7
PYRAMIDS
6
6
6

 

 

-
PHARAOH + PYRAMID
-
-
-
7
PHARAOH
67
40
4
7
PYRAMID
86
41
5
14
PYRAMID + PHARAOH
153
81
18
1+4
-
1+7+1
8+1
1+8
5
PHARAOH + PYRAMID
9
9
9

 

 

-
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
8
-
-
-
6
8
+
=
31
3+1
=
4
=
4
=
4
-
-
-
-
-
-
-
9
-
-
-
8
-
-
-
15
8
+
=
40
4+0
=
4
=
4
=
4
-
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
7
7
9
1
4
-
4
-
7
-
1
9
1
-
-
+
=
50
5+0
=
5
=
5
=
5
-
-
16
25
18
1
13
-
4
-
16
-
1
18
1
-
-
+
=
113
1+1+3
=
5
=
5
=
5
-
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
16
25
18
1
13
9
4
-
16
8
1
18
1
15
8
+
=
153
1+5+3
=
9
=
9
=
9
-
-
7
7
9
1
4
9
4
-
7
8
1
9
1
6
8
+
=
81
8+1
=
9
=
9
=
9
-
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
1
-
-
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
7
7
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
9
-
-
9
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
10
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
35
-
-
14
-
81
-
36
1+0
-
-
-
9
-
-
9
-
-
-
-
-
9
-
-
-
-
-
3+5
-
-
1+4
-
8+1
-
3+6
1
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
8
-
-
5
-
9
-
9
-
-
7
7
9
1
4
9
4
-
7
8
1
9
1
6
8
-
-
-
-
-
-
-
-
-
-
1
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
8
-
-
5
-
9
-
9

 

 

14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
8
-
-
-
6
8
+
=
31
3+1
=
4
=
4
=
4
-
-
-
-
-
-
9
-
-
-
8
-
-
-
15
8
+
=
40
4+0
=
4
=
4
=
4
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
7
7
9
1
4
-
4
-
7
-
1
9
1
-
-
+
=
50
5+0
=
5
=
5
=
5
-
16
25
18
1
13
-
4
-
16
-
1
18
1
-
-
+
=
113
1+1+3
=
5
=
5
=
5
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
16
25
18
1
13
9
4
-
16
8
1
18
1
15
8
+
=
153
1+5+3
=
9
=
9
=
9
-
7
7
9
1
4
9
4
-
7
8
1
9
1
6
8
+
=
81
8+1
=
9
=
9
=
9
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
1
-
-
-
-
1
occurs
x
3
=
3
=
3
-
--
-
-
-
4
-
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
7
7
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
9
-
-
9
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
35
-
-
14
-
81
-
36
-
-
-
9
-
-
9
-
-
-
-
-
9
-
-
-
-
-
3+5
-
-
1+4
-
8+1
-
3+6
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
8
-
-
5
-
9
-
9
-
7
7
9
1
4
9
4
-
7
8
1
9
1
6
8
-
-
-
-
-
-
-
-
-
-
14
P
Y
R
A
M
I
D
-
P
H
A
R
A
O
H
-
-
8
-
-
5
-
9
-
9

 

 

-
-
-
-
-
PYRAMIDION
-
-
-
-
-
-
-
2
P+Y
41
14
5
-
-
-
-
1
R
18
9
9
-
-
-
-
2
A+M
14
5
5
-
-
-
-
1
I
9
9
9
-
-
-
-
1
D
4
4
4
-
-
-
-
1
I
9
9
9
-
-
-
-
2
O+N
29
11
2
P
=
7
-
10
PYRAMIDION
124
61
43
-
-
-
-
1+0
-
1+2+4
6+1
4+3
P
=
7
-
1
PYRAMIDION
7
7
7

 

 

-
10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
6
5
+
=
29
2+9
=
11
1+1
2
=
2
-
-
-
-
-
-
-
9
-
9
15
14
+
=
47
4+7
=
11
1+1
2
=
2
-
10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
7
7
9
1
4
-
4
-
-
-
+
=
32
3+2
=
5
=
5
=
5
-
-
16
25
18
1
13
-
4
-
-
-
+
=
77
7+7
=
14
1+4
5
=
5
-
10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
16
25
18
1
13
9
4
9
15
14
+
=
124
1+2+4
=
7
=
5
=
5
-
-
7
7
9
1
4
9
4
9
6
5
+
=
61
6+1
=
7
=
5
=
5
-
10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
7
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
-
-
9
-
9
-
-
-
-
9
occurs
x
3
=
27
1+8
9
13
10
P
Y
R
A
M
I
D
I
O
N
-
-
32
-
-
10
-
61
-
34
1+3
1+0
-
-
9
-
-
9
-
9
-
-
-
-
3+2
-
-
4+0
-
6+1
-
3+4
4
1
P
Y
R
A
M
I
D
I
O
N
-
-
5
-
-
1
-
7
-
7
-
-
7
7
9
1
4
9
4
9
6
5
-
-
-
-
-
-
-
-
-
-
4
1
P
Y
R
A
M
I
D
I
O
N
-
-
5
-
-
1
-
7
-
7

 

 

10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
6
5
+
=
29
2+9
=
11
1+1
2
=
2
-
-
-
-
-
-
9
-
9
15
14
+
=
47
4+7
=
11
1+1
2
=
2
10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
7
7
9
1
4
-
4
-
-
-
+
=
32
3+2
=
5
=
5
=
5
-
16
25
18
1
13
-
4
-
-
-
+
=
77
7+7
=
14
1+4
5
=
5
10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
16
25
18
1
13
9
4
9
15
14
+
=
124
1+2+4
=
7
=
5
=
5
-
7
7
9
1
4
9
4
9
6
5
+
=
61
6+1
=
7
=
5
=
5
10
P
Y
R
A
M
I
D
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
4
-
4
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
7
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
9
-
-
9
-
9
-
-
-
-
9
occurs
x
3
=
27
1+8
9
10
P
Y
R
A
M
I
D
I
O
N
-
-
32
-
-
10
-
61
-
34
1+0
-
-
9
-
-
9
-
9
-
-
-
-
3+2
-
-
4+0
-
6+1
-
3+4
1
P
Y
R
A
M
I
D
I
O
N
-
-
5
-
-
1
-
7
-
7
-
7
7
9
1
4
9
4
9
6
5
-
-
-
-
-
-
-
-
-
-
1
P
Y
R
A
M
I
D
I
O
N
-
-
5
-
-
1
-
7
-
7

 

 

-
PHARAOH + PYRAMID
-
-
-
7
PHARAOH
67
40
4
7
PYRAMID
86
41
5
14
PYRAMID + PHARAOH
153
81
18
1+4
-
1+7+1
8+1
1+8
5
PHARAOH + PYRAMID
9
9
9

 

 

KEEPER OF GENESIS

A QUEST FOR THE HIDDEN LEGACY OF MANKIND

Robert Bauval Graham Hancock 1996

Page 196

Duality

The Splendid Place of the 'First Time'

We left the cosmic Horus-King standing in the sky with the solar disc between the 'paws' of the celestial lion, the constellation of Leo - on the spot marked by the star Regulus,

In the Pyramid Age Regulus rose at approximately 28 degrees north of due east.59 It is from this spot therefore that the Horus-King in the sky must somehow travel - on one of the 'roads'to Rostau - to reach Orion's belt.

Now we transpose again to the Horus-King in his earthly form at Giza, standing between the paws of the great Sphinx.

It is the moment of dawn on the summer solstice in the epoch of 2500 BC, with Leo rising at 28 degrees north of due east, and we immediately notice that something is wrong with the sky-ground pattern.

The Sphinx gazes due east, i.e. he does not gaze at Leo, his celestial counterpart.

And the causeway connecting the central Pyramid to the Sphinx complex is directed 14 degrees south of due east - i.e. far to the right of the spot where the cosmic Horns-King is supposedly at his station between the paws of Leo and ready to travel to Rostau.

So why is the sky-image in the 'wrong place' on the eastern horizon? Or to express the problem the right way round, and in the correct dualistic terminology, why is Hor-em-Akhet, Horus-in-the­ Horizon .: i.e, the Great Sphinx - not in alignment with Horakhti, Horns-of-the-Horizon, i.e.rhe constellation of Leo? Why, too, is the causeway of the Sphinx not-directed to the rising sun was to 'link-up' the Horus-King with his cosmic solar counterpart?

There is, it seems, a curious 'dislocation' between the ground and the sky at the summer solstice in the epoch of 2500 BC. Moreover, as the reader will recall from Chapter 8, this sense of the entire arrangement being out of kilter is not confined to the Sphinx and Leo in that epoch but involves the three great Pyramids of Giza as well.

It may be the case that the solution to the riddle has all along been staring us in the face. Inscribed on the granite stela that the Sphinx holds between its own heavily eroded paws - a stela that was placed there in honour of Thutmosis IV, a mighty Horus-King of Egypt - we read the following impressive royal titulary:

Page 197

The Majesty of Horus, Mighty Bull Begetting Radiance, Favourite of the Two Goddesses, Enduring in Kingship like Atum, Golden Horus, Mighty of Sword, Repelling the Nine Bows; King of Upper and Lower Egypt, Son of Re, Thutmosis ... given life, stability, satisfaction ... for ever. Live the Good God, Son of Atum, Protector of Horakhti, Living Image of the All-Lord, Sovereign ... , beautiful of Face like His Father, who came forth equipped with the form of Horus upon him ... Son of Atum, of his body, Thutmosis ... Heir of Horus Upon His Throne .. :60

Does this sound like a man who did not have a due, as some Egyptologists suggest," as to what the great Sphinx and the other monuments of Giza really represented? Surely not. So what, then, did the majestic Horus-King declare this sacred domain to be?"

 

ATUM 1234 ATUM

HORUS = 9 = HORUS

HORAKHTI = 9 = HORAKHTI

THUTMOSIS = 9 =THUTMOSIS

SPHINX = 9 = SPHINX

THE

LIONS LOINS

Page 198

Duality,

In one simple, powerful phrase, as the reader.will recall he stated 'that it was 'The Splendid Place of the "FirstTime" ' 62

Is it not likely, when he uttered these words; that Thutmosis, 'Heir of Horus Upon His Throne' was repeating what every Horus-King before him had dedared the Giza plateau to be?

Is it not likely that he called it 'The Splendid Place of the "FirstTime" because that was exactly what it was remembered to be in traditions that 'had been handed down from remotest, almost incomprehensible, antiquity?

Could this be why the sky of 2500 BC seems to be so badly out of kilter, somehow skewed and twisted, i.e. 'in the wrong place'? Could it be not so much in the wrong place as at the wrong time?

Should we set our computer to search for another-time that might match the monuments to the sky, a time long before Thutmosis, long before Khafre and Khufu, the 'time' when Osiris established his 'kingdom on earth - in other words, the 'FirstTime'?

When was the 'FirstTime'?

 

H
=
9
-
1
HORUS
81
18
9
H
=
8
-
4
HORAKHTI
90
45
9
T
=
2
-
2
THUTMOSIS
144
36
9
S
=
1
-
4
SPHINX
90
36
9

 

 

A

FIRE PYRE A PYRE FIRE

FUNERAL REAL FUN FUN REAL FUNERAL

 

 

I

ME

FIRE PYRE FIRE

PYRE AMID PYRAMID AMID PYRE

 

T
=
2
-
3
THE
33
15
6
G
=
7
-
5
GREAT
51
24
6
P
=
7
-
7
PYRAMID
86
41
5
O
=
6
-
2
OF
21
12
3
G
=
7
-
4
GIZA
43
25
7
-
-
29
-
21
First Total
234
117
27
-
-
2+9
-
2+1
Add to Reduce
2+3+4
1+1+7
2+7
-
-
11
-
3
Second Total
9
9
9
-
-
1+1
-
-
Reduce to Deduce
-
-
-
-
-
2
-
3
Essence of Number
9
9
9

 

 

-
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
6
-
-
-
9
8
-
+
=
40
4+0
=
4
-
4
=
4
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
15
-
-
-
9
26
-
+
=
67
6+7
=
13
1+3
4
=
4
-
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
7
9
5
1
2
-
7
7
9
1
4
-
4
-
-
6
-
7
-
-
1
+
=
77
7+7
=
14
1+4
5
=
5
-
-
20
-
5
-
7
18
5
1
20
-
16
25
18
1
13
-
4
-
-
6
-
7
-
-
1
+
=
167
1+6+7
=
14
1+4
5
=
5
-
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
7
18
5
1
20
-
16
25
18
1
13
9
4
-
15
6
-
7
9
26
1
+
=
234
2+3+4
=
9
=
9
=
9
-
-
2
8
5
-
7
9
5
1
2
-
7
7
9
1
4
9
4
-
6
6
-
7
9
8
1
+
=
117
1+1+7
=
9
=
9
=
9
-
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
``-
2
-
-
-
-
-
-
-
2
-
--
--
--
--
--
--
--
-
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
-
-
-
--
--
--
--
--
--
--
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
-
-
5
-
-
-
--
--
--
--
--
--
--
-
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
-
7
-
-
-
-
-
7
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
4
=
28
2+8
10
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
=
7
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
3
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
42
-
-
21
-
117
-
45
-
2+1
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
9
-
-
-
-
4+2
-
-
2+1
-
1+1+7
-
4+5
3
3
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
6
-
-
3
-
9
-
9
-
-
2
8
5
-
7
9
5
1
2
-
7
7
9
1
4
9
4
-
6
6
-
7
9
8
1
-
-
-
-
-
-
-
-
-
-
3
3
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
6
-
-
3
-
9
-
9

 

 

21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
6
-
-
-
9
8
-
+
=
40
4+0
=
4
-
4
=
4
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
15
-
-
-
9
26
-
+
=
67
6+7
=
13
1+3
4
=
4
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
7
9
5
1
2
-
7
7
9
1
4
-
4
-
-
6
-
7
-
-
1
+
=
77
7+7
=
14
1+4
5
=
5
-
20
-
5
-
7
18
5
1
20
-
16
25
18
1
13
-
4
-
-
6
-
7
-
-
1
+
=
167
1+6+7
=
14
1+4
5
=
5
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
7
18
5
1
20
-
16
25
18
1
13
9
4
-
15
6
-
7
9
26
1
+
=
234
2+3+4
=
9
=
9
=
9
-
2
8
5
-
7
9
5
1
2
-
7
7
9
1
4
9
4
-
6
6
-
7
9
8
1
+
=
117
1+1+7
=
9
=
9
=
9
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
5
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
7
-
-
-
-
-
7
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
4
=
28
2+8
10
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
=
7
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
21
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
42
-
-
21
-
117
-
45
2+1
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
9
-
-
-
-
4+2
-
-
2+1
-
1+1+7
-
4+5
3
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
6
-
-
3
-
9
-
9
-
2
8
5
-
7
9
5
1
2
-
7
7
9
1
4
9
4
-
6
6
-
7
9
8
1
-
-
-
-
-
-
-
-
-
-
3
T
H
E
-
G
R
E
A
T
-
P
Y
R
A
M
I
D
-
O
F
-
G
I
Z
A
-
-
6
-
-
3
-
9
-
9

 

 

21
T
H
E
G
R
E
A
T
P
Y
R
A
M
I
D
O
F
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
-
6
-
-
9
8
-
+
=
40
4+0
=
4
-
4
=
4
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
-
15
-
-
9
26
-
+
=
67
6+7
=
13
1+3
4
=
4
21
T
H
E
G
R
E
A
T
P
Y
R
A
M
I
D
O
F
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
2
-
5
7
9
5
1
2
7
7
9
1
4
-
4
-
6
7
-
-
1
+
=
77
7+7
=
14
1+4
5
=
5
-
20
-
5
7
18
5
1
20
16
25
18
1
13
-
4
-
6
7
-
-
1
+
=
167
1+6+7
=
14
1+4
5
=
5
21
T
H
E
G
R
E
A
T
P
Y
R
A
M
I
D
O
F
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
20
8
5
7
18
5
1
20
16
25
18
1
13
9
4
15
6
7
9
26
1
+
=
234
2+3+4
=
9
=
9
=
9
-
2
8
5
7
9
5
1
2
7
7
9
1
4
9
4
6
6
7
9
8
1
+
=
117
1+1+7
=
9
=
9
=
9
21
T
H
E
G
R
E
A
T
P
Y
R
A
M
I
D
O
F
G
I
Z
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
7
-
-
-
-
7
7
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
4
=
28
2+8
10
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
=
7
-
-
-
-
-
9
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
21
T
H
E
G
R
E
A
T
P
Y
R
A
M
I
D
O
F
G
I
Z
A
-
-
42
-
-
21
-
117
-
45
2+1
-
-
-
-
9
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
4+2
-
-
2+1
-
1+1+7
-
4+5
3
T
H
E
G
R
E
A
T
P
Y
R
A
M
I
D
O
F
G
I
Z
A
-
-
6
-
-
3
-
9
-
9
-
2
8
5
7
9
5
1
2
7
7
9
1
4
9
4
6
6
7
9
8
1
-
-
-
-
-
-
-
-
-
-
3
T
H
E
G
R
E
A
T
P
Y
R
A
M
I
D
O
F
G
I
Z
A
-
-
6
-
-
3
-
9
-
9

 

 

 

 

-
-
-
-
-
PHARAOH
-
-
-
-
-
-
-
1
P
16
7
7
-
-
-
-
2
HA
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
3
A+O+H
24
15
6
P
=
7
-
7
PHARAOH
67
40
31
-
-
-
-
-
-
6+7
4+0
3+1
P
=
7
-
7
PHARAOH
13
4
4
-
-
-
-
-
-
1+3
-
-
P
=
7
-
7
PHARAOH
4
4
4

 

 

-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
8
+
=
22
2+2
=
4
=
4
=
4
-
-
-
8
-
-
-
15
8
+
=
31
3+1
=
4
=
4
=
4
-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
7
-
1
9
1
-
-
+
=
18
1+8
=
9
=
9
=
9
-
-
16
-
1
18
1
-
-
+
=
36
3+6
=
9
=
9
=
9
-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
16
8
1
18
1
15
8
+
=
67
6+7
=
13
1+3
4
=
4
-
-
7
8
1
9
1
6
8
+
=
40
4+0
=
4
=
4
=
4
-
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
14
7
P
H
A
R
A
O
H
-
-
31
-
-
8
-
40
-
31
1+4
-
-
-
-
9
-
-
-
-
-
3+1
-
-
-
-
4+0
-
3+1
5
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4
-
-
7
8
1
9
1
6
8
-
-
-
-
-
-
-
-
-
-
5
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4

 

 

7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
8
+
=
22
2+2
=
4
=
4
=
4
-
-
8
-
-
-
15
8
+
=
31
3+1
=
4
=
4
=
4
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
7
-
1
9
1
-
-
+
=
18
1+8
=
9
=
9
=
9
-
16
-
1
18
1
-
-
+
=
36
3+6
=
9
=
9
=
9
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
16
8
1
18
1
15
8
+
=
67
6+7
=
13
1+3
4
=
4
-
7
8
1
9
1
6
8
+
=
40
4+0
=
4
=
4
=
4
7
P
H
A
R
A
O
H
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
9
-
-
-
-
-`
9
occurs
x
1
=
9
=
9
7
P
H
A
R
A
O
H
-
-
31
-
-
8
-
40
-
31
-
-
-
-
9
-
-
-
-
-
3+1
-
-
-
-
4+0
-
3+1
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4
-
7
8
1
9
1
6
8
-
-
-
-
-
-
-
-
-
-
7
P
H
A
R
A
O
H
-
-
4
-
-
8
-
4
-
4

 

 

5
HETEP
54
27
9

 

 

5
H
E
T
E
P
-
-
-
-
-
--
-
-
`-
8
-
-
-
-
+
=
8
-
=
8
-
8
5
H
E
T
E
P
-
-
-
-
-
--
-
-
`-
-
5
20
5
16
+
=
46
4+6
=
10
1+0
1
`-
-
5
2
5
7
+
=
19
1+9
=
10
1+0
1
5
H
E
T
E
P
-
-
-
-
-
--
-
-
`-
8
5
20
5
16
+
=
54
5+4
=
9
-
9
`-
8
5
2
5
7
+
=
27
2+7
=
9
1+0
9
5
H
E
T
E
P
-
-
-
-
-
-
-
-

 

 

-
4
P
T
A
H
-
-
-
-
-
-
-
-
-
-
-
-
-
8
+
=
8
-
=
8
=
8
-
4
P
T
A
H
-
-
-
-
-
-
-
-
-
-
7
2
1
-
+
=
10
1+0
=
1
=
1
-
-
16
20
1
-
+
=
37
3+7
=
10
1+0
1
-
4
P
T
A
H
-
-
-
-
-
-
-
-
-
-
16
20
1
8
+
=
45
4+5
=
9
=
9
-
-
7
2
1
8
+
=
18
1+8
=
9
=
9
-
4
P
T
A
H
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
4
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
5
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
6
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
-
8
-
-
8
occurs
x
1
=
8
9
-
-
-
-
-
-
-
9
-
-
-
-
-
27
4
P
T
A
H
-
-
18
-``
-
4
-
18
2+7
-
-
-
-
-
-
-
1+8
-
-
-
-
1+8
9
4
P
T
A
H
-
-
9
-``
-
4
-
9

 

 

4
P
T
A
H
-
-
-
-
-
-
-
-
-
-
-
-
8
+
=
8
-
=
8
=
8
4
P
T
A
H
-
-
-
-
-
-
-
-
-
7
2
1
-
+
=
10
1+0
=
1
=
1
-
16
20
1
-
+
=
37
3+7
=
10
1+0
1
4
P
T
A
H
-
-
-
-
-
-
-
-
-
16
20
1
8
+
=
45
4+5
=
9
=
9
-
7
2
1
8
+
=
18
1+8
=
9
=
9
4
P
T
A
H
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
-
-
2
-
-
-
-
2
occurs
x
1
=
2
-
7
-
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
8
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
-
9
-
-
-
-
-
4
P
T
A
H
-
-
18
-``
-
4
-
18
-
-
-
-
-
-
-
1+8
-
-
-
-
1+8
4
P
T
A
H
-
-
9
-``
-
4
-
9

 

 

THE

PATH OF PTAH

 

 

-
EGYPT
-
-
-
-
-
-
1
E
5
5
5
--
-
5
1
G
7
7
7
-
7
-
1
Y
25
7
7
-
7
-
1
P
16
7
7
-
7
-
1
T
20
2
2
--
-
2
5
EGYPT
73
28
28
-
21
7
-
-
7+3
2+8
2+8
-
2+1
-
5
EGYPT
10
10
10
--
3
7
-
-
1+0
1+0
1+0
-
-
-
5
EGYPT
1
7
7
--
3
7

 

 

-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
7
7
7
-
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
31
5
E
G
Y
P
T
-
-
14
-
-
5
-
28
-
10
3+1
-
-
7
7
7
-
-
-
1+4
-
-
-
-
2+8
-
1+0
4
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
-
5
-
+
-
2
=
7
-
-
-
-
-
1+0
-
-
4
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
-
5
7
7
7
2
-
-
-
-
-
-
-
1+0
-
-
4
5
E
G
Y
P
T
-
-
5
-
-
5
-
1
-
1

 

 

5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
5
7
25
16
20
+
=
73
7+3
=
10
1+0
1
=
1
-
5
7
7
7
2
+
=
28
2+8
=
10
1+0
1
=
1
5
E
G
Y
P
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
7
7
7
-
-
-
7
occurs
x
3
=
21
2+1
3
5
E
G
Y
P
T
-
-
14
-
-
5
-
28
-
10
-
-
7
7
7
-
-
-
1+4
-
-
-
-
2+8
-
1+0
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
5
-
+
-
2
=
7
-
-
-
-
-
1+0
-
-
5
E
G
Y
P
T
-
-
5
-
-
5
-
10
-
1
-
5
7
7
7
2
-
-
-
-
-
-
-
1+0
-
-
5
E
G
Y
P
T
-
-
5
-
-
5
-
1
-
1

 

 

EGYPT 57772 EGYPT

EGYPT

777

EGYPT

5+2 = 7 7 = 5+2

EGYPT

EGYPT 57772 EGYPT

EGYPT

EGYPT 57772 EGYPT

 

 

YIN YANG YIN YANG

YIN YANG 795-7157 YIN YANG

YIN YANG

795 7157

YIN YANG

YIN YANG YIN YANG

 

 

3
YIN
48
21
3
4
YANG
47
20
2

 

 

-
7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
--
-
-
-
-
-
-
-
9
5
-
-
-
5
-
+
=
19
1+9
=
10
1+0
1
=
1
-
-
-
9
14
-
-
-
14
-
+
=
37
3+7
=
10
1+0
1
=
1
-
7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
7
1
-
7
+
=
22
2+2
=
4
=
4
=
4
-
-
25
-
-
-
25
1
-
7
+
=
58
5+8
=
13
1+3
4
=
4
-
7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
--
-
-
-
-
-
-
25
9
14
-
25
1
14
7
+
=
95
9+5
=
14
1+4
5
=
5
-
-
7
9
5
-
7
1
5
7
+
=
41
4+1
=
5
=
5
=
5
-
7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
5
-
--
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
6
SIX
-
-
-
-
-
-
-
-
7
-
-
-
7
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
23
7
Y
I
N
-
Y
A
N
G
-
-
22
-
-
7
-
41
-
14
2+3
-
7
-
-
-
7
-
-
7
-
-
2+2
-
-
-
-
4+1
-
1+4
5
7
Y
I
N
-
Y
A
N
G
-
-
4
-
-
7
-
5
-
5
-
-
7
9
5
-
7
1
5
7
-
-
-
-
-
-
-
-
-
-
5
7
Y
I
N
-
Y
A
N
G
-
-
4
-
-
7
-
5
-
5

 

 

7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
--
-
-
-
-
-
-
9
5
-
-
-
5
-
+
=
19
1+9
=
10
1+0
1
=
1
-
-
9
14
-
-
-
14
-
+
=
37
3+7
=
10
1+0
1
=
1
7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
7
1
-
7
+
=
22
2+2
=
4
=
4
=
4
-
25
-
-
-
25
1
-
7
+
=
58
5+8
=
13
1+3
4
=
4
7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
--
-
-
-
-
-
25
9
14
-
25
1
14
7
+
=
95
9+5
=
14
1+4
5
=
5
-
7
9
5
-
7
1
5
7
+
=
41
4+1
=
5
=
5
=
5
7
Y
I
N
-
Y
A
N
G
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
5
-
--
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
7
-
-
-
7
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
-
-
9
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
Y
I
N
-
Y
A
N
G
-
-
22
-
-
7
-
41
-
14
-
7
-
-
-
7
-
-
7
-
-
2+2
-
-
-
-
4+1
-
1+4
7
Y
I
N
-
Y
A
N
G
-
-
4
-
-
7
-
5
-
5
-
7
9
5
-
7
1
5
7
-
-
-
-
-
-
-
-
-
-
7
Y
I
N
-
Y
A
N
G
-
-
4
-
-
7
-
5
-
5

 

 

7
Y
I
N
Y
A
N
G
-
-
-
-
-
--
-
-
-
-
-
-
9
5
-
-
5
-
+
=
19
1+9
=
10
1+0
1
=
1
-
-
9
14
-
-
14
-
+
=
37
3+7
=
10
1+0
1
=
1
7
Y
I
N
Y
A
N
G
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
1
-
7
+
=
22
2+2
=
4
=
4
=
4
-
25
-
-
25
1
-
7
+
=
58
5+8
=
13
1+3
4
=
4
7
Y
I
N
Y
A
N
G
-
-
-
-
-
--
-
-
-
-
-
25
9
14
25
1
14
7
+
=
95
9+5
=
14
1+4
5
=
5
-
7
9
5
7
1
5
7
+
=
41
4+1
=
5
=
5
=
5
7
Y
I
N
Y
A
N
G
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
5
--
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
7
-
-
7
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
Y
I
N
Y
A
N
G
-
-
22
-
-
7
-
41
-
14
-
7
-
-
-
7
-
7
-
-
-
-
-
-
-
4+1
-
1+4
7
Y
I
N
Y
A
N
G
-
-
4
-
-
7
-
5
-
5
-
7
9
5
7
1
5
7
-
-
-
-
-
-
-
-
-
-
7
Y
I
N
Y
A
N
G
-
-
4
-
-
7
-
5
-
5

 

 

3
YIN
48
21
3
3
AND
19
10
1
4
YANG
47
20
2

 

 

K
=
2
-
4
KNOW
63
18
9
T
=
2
-
7
THYSELF
95
32
5
S
-
4
4
11
First Total
158
50
14
-
-
-
-
1+1
Add to Reduce
1+5+8
5+0
1+4
-
-
4
-
2
Second Total
14
5
5
-
-
-
-
-
Reduce to Deduce
1+4
-
-
-
-
4
-
2
Essence of Number
5
5
5

 

 

-
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
-
5
6
-
-
-
8
-
1
-
-
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
14
15
-
-
-
8
-
19
-
-
-
+
=
56
5+6
=
11
1+1
2
=
2
8
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
5
-
2
-
7
-
5
3
6
+
=
30
3+0
=
3
=
3
=
3
-
-
11
-
-
23
-
20
-
25
-
5
12
6
+
=
102
1+0+2
=
3
=
3
=
3
-
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
11
14
15
23
-
20
8
25
19
5
12
6
+
=
158
1+5+8
=
14
1+4
5
=
5
-
-
2
5
6
5
-
2
8
7
1
5
3
6
+
=
50
5+0
=
5
=
5
=
5
-
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
oocurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
5
-
5
-
-
-
-
-
5
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
13
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
32
-
-
11
-
50
-
32
1+3
1+1
2
5
6
5
-
2
8
7
1
5
3
6
-
-
3+2
-
-
1+1
-
5+0
-
3+2
4
2
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
5
-
-
2
-
5
-
5

 

 

11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
5
6
-
-
-
8
-
1
-
-
-
+
=
20
2+0
=
2
=
2
=
2
-
-
14
15
-
-
-
8
-
19
-
-
-
+
=
56
5+6
=
11
1+1
2
=
2
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
2
-
-
5
-
2
-
7
-
5
3
6
+
=
30
3+0
=
3
=
3
=
3
-
11
-
-
23
-
20
-
25
-
5
12
6
+
=
102
1+0+2
=
3
=
3
=
3
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
11
14
15
23
-
20
8
25
19
5
12
6
+
=
158
1+5+8
=
14
1+4
5
=
5
-
2
5
6
5
-
2
8
7
1
5
3
6
+
=
50
5+0
=
5
=
5
=
5
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
oocurs
x
1
=
3
=
3
-
-
5
-
5
-
-
-
-
-
5
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
11
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
32
-
-
11
-
50
-
32
1+1
2
5
6
5
-
2
8
7
1
5
3
6
-
-
3+2
-
-
1+1
-
5+0
-
3+2
2
K
N
O
W
-
T
H
Y
S
E
L
F
-
-
5
-
-
2
-
5
-
5

 

 

11
K
N
O
W
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
5
6
-
-
8
-
1
-
-
-
+
=
20
2+0
=
2
=
2
=
2
-
-
14
15
-
-
8
-
19
-
-
-
+
=
56
5+6
=
11
1+1
2
=
2
11
K
N
O
W
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
2
-
-
5
2
-
7
-
5
3
6
+
=
30
3+0
=
3
=
3
=
3
-
11
-
-
23
20
-
25
-
5
12
6
+
=
102
1+0+2
=
3
=
3
=
3
11
K
N
O
W
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
11
14
15
23
20
8
25
19
5
12
6
+
=
158
1+5+8
=
14
1+4
5
=
5
-
2
5
6
5
2
8
7
1
5
3
6
+
=
50
5+0
=
5
=
5
=
5
11
K
N
O
W
T
H
Y
S
E
L
F
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
oocurs
x
1
=
3
=
3
-
-
5
-
5
-
-
-
-
5
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
6
-
-
-
-
-
-
-
6
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
11
K
N
O
W
T
H
Y
S
E
L
F
-
-
32
-
-
11
-
50
-
32
1+1
2
5
6
5
2
8
7
1
5
3
6
-
-
3+2
-
-
1+1
-
5+0
-
3+2
2
K
N
O
W
T
H
Y
S
E
L
F
-
-
5
-
-
2
-
5
-
5

 

 

-
KNOW THYSELF
-
-
-
4
KNOW
63
18
9
4
T+H+Y+S
72
18
9
1
E
5
5
5
2
L+F
18
9
9
11
KNOW THYSELF
158
50
32
1+1
-
1+5+8
5+0
3+2
2
KNOW THYSELF
14
5
5
-
-
1+4
-
-
2
KNOW THYSELF
5
5
5

 

 

-
THE RAINBOW LIGHT
-
-
-
3
THE
33
15
6
7
RAINBOW
82
37
1
5
LIGHT
56
29
2
15
THE RAINBOW LIGHT
171
81
9
1+5
-
1+7+1
8+1
-
6
THE RAINBOW LIGHT
9
9
9

 

 

4
BODY
46
19
1
4
HEAD
18
18
9
5
BRAIN
44
26
8
13
Add to Reduce
108
63
18
1+3
Reduce to Deduce
1+0+8
6+3
1+8
4
Essence of Number
9
9
9

 

 

-
9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
-
9
14
-
-
15
-
-
+
=
38
3+8
=
11
1+1
2
=
2
-
9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
-
2
9
1
-
-
-
2
-
4
7
+
=
25
2+5
=
7
=
7
=
7
-
-
2
18
1
-
-
-
2
-
4
25
+
=
52
5+2
=
7
=
7
=
7
-
9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
-
2
18
1
9
14
-
2
15
4
25
+
=
90
9+0
=
9
=
9
=
9
-
-
2
9
1
9
5
-
2
6
4
7
+
=
45
4+5
=
9
=
9
=
9
-
9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
--
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
5
-
-
-
-
-
--
-
5
occurs
x
1
=
5
=
5
-
--
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
=
6
-
--
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
11
9
B
R
A
I
N
-
B
O
D
Y
-
-
34
-
-
9
-
45
-
36
1+1
-
-
9
-
9
-
-
-
-
-
-
-
-
3+4
-
-
-
-
4+5
-
3+6
2
9
B
R
A
I
N
-
B
O
D
Y
-
-
7
-
-
9
-
9
-
9
-
-
2
9
1
9
5
-
2
6
4
7
-
-
-
-
-
--
-
-
-
-
2
9
B
R
A
I
N
-
B
O
D
Y
-
-
7
-
-
9
-
9
-
9

 

 

9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
9
14
-
-
15
-
-
+
=
38
3+8
=
11
1+1
2
=
2
9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
2
9
1
-
-
-
2
-
4
7
+
=
25
2+5
=
7
=
7
=
7
-
2
18
1
-
-
-
2
-
4
25
+
=
52
5+2
=
7
=
7
=
7
9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
2
18
1
9
14
-
2
15
4
25
+
=
90
9+0
=
9
=
9
=
9
-
2
9
1
9
5
-
2
6
4
7
+
=
45
4+5
=
9
=
9
=
9
9
B
R
A
I
N
-
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
--
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
2
=
4
=
4
--
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
-
-
-
-
-
--
-
5
occurs
x
1
=
5
=
5
--
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
=
6
--
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
9
-
9
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
9
B
R
A
I
N
-
B
O
D
Y
-
-
34
-
-
9
-
45
-
36
-
-
9
-
9
-
-
-
-
-
-
-
-
3+4
-
-
-
-
4+5
-
3+6
9
B
R
A
I
N
-
B
O
D
Y
-
-
7
-
-
9
-
9
-
9
-
2
9
1
9
5
-
2
6
4
7
-
-
-
-
-
--
-
-
-
-
9
B
R
A
I
N
-
B
O
D
Y
-
-
7
-
-
9
-
9
-
9

 

 

9
B
R
A
I
N
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
6
-
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
9
14
-
15
-
-
+
=
38
3+8
=
11
1+1
2
=
2
9
B
R
A
I
N
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
2
9
1
-
-
2
-
4
7
+
=
25
2+5
=
7
=
7
=
7
-
2
18
1
-
-
2
-
4
25
+
=
52
5+2
=
7
=
7
=
7
9
B
R
A
I
N
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
-
2
18
1
9
14
2
15
4
25
+
=
90
9+0
=
9
=
9
=
9
-
2
9
1
9
5
2
6
4
7
+
=
45
4+5
=
9
=
9
=
9
9
B
R
A
I
N
B
O
D
Y
-
-
-
-
-
-
-
-
-
-
--
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
2
-
-
-
-
-
2
occurs
x
2
=
4
=
4
--
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
-
-
-
-
--
-
5
occurs
x
1
=
5
=
5
--
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
1
=
6
=
6
--
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
9
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
9
B
R
A
I
N
B
O
D
Y
-
-
34
-
-
9
-
45
-
36
-
-
9
-
9
-
-
-
-
-
-
-
3+4
-
-
-
-
4+5
-
3+6
9
B
R
A
I
N
B
O
D
Y
-
-
7
-
-
9
-
9
-
9
-
2
9
1
9
5
2
6
4
7
-
-
-
-
-
--
-
-
-
-
9
B
R
A
I
N
B
O
D
Y
-
-
7
-
-
9
-
9
-
9

 

 

-
B-RA-IN
-
-
-
1
B
2
2
2
2
RA
19
10
1
2
IN
23
14
5
5
B-RA-IN
44
26
8
-
-
4+4
2+6
-
5
B-RA-IN
8
8
8

 

 

-
5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
-
-
-
9
14
+
=
23
2+3
=
14
1+4
5
=
5
-
5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
-
-
2
-
9
1
-
-
-
+
=
12
1+2
=
3
=
3
=
3
-
-
2
-
18
1
-
-
-
+
=
21
2+1
=
3
=
3
=
3
-
5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
-
-
2
-
18
1
-
9
14
+
=
44
4+4
=
8
=
8
=
8
-
-
2
-
9
1
-
9
5
+
=
26
2+6
=
8
=
8
=
8
-
5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
--
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
--
-
5
occurs
x
1
=
5
=
5
6
--
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
--
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
28
5
B
-
R
A
-
I
N
-
-
17
-
-
5
-
28
-
19
2+8
-
-
-
9
-
-
9
-
-
-
1+7
-
-
-
-
2+8
-
1+9
10
5
B
-
R
A
-
I
N
-
-
8
-
-
5
-
10
-
10
1+0
-
2
-
9
1
-
9
5
-
-
-
-
-
-
-
1+0
-
1+0
1
5
B
-
R
A
-
I
N
-
-
8
-
-
5
-
1
-
1

 

 

5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
-
-
9
14
+
=
23
2+3
=
14
1+4
5
=
5
5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
-
2
-
9
1
-
-
-
+
=
12
1+2
=
3
=
3
=
3
-
2
-
18
1
-
-
-
+
=
21
2+1
=
3
=
3
=
3
5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
-
2
-
18
1
-
9
14
+
=
44
4+4
=
8
=
8
=
8
-
2
-
9
1
-
9
5
+
=
26
2+6
=
8
=
8
=
8
5
B
-
R
A
-
I
N
-
-
-
-
-
-
-
-
-
-
--
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
5
--
-
5
occurs
x
1
=
5
=
5
-
-
-
9
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
5
B
-
R
A
-
I
N
-
-
17
-
-
5
-
28
-
19
-
-
-
9
-
-
9
-
-
-
1+7
-
-
-
-
2+8
-
1+9
5
B
-
R
A
-
I
N
-
-
8
-
-
5
-
10
-
10
-
2
-
9
1
-
9
5
-
-
-
-
-
-
-
1+0
-
1+0
5
B
-
R
A
-
I
N
-
-
8
-
-
5
-
1
-
1

 

 

-
B-RA-IN
-
-
-
1
B
2
2
2
2
RA
19
10
1
2
IN
23
14
5
5
B-RA-IN
44
26
8
-
-
4+4
2+6
-
5
B-RA-IN
8
8
8

 

 

5
B
R
A
I
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
9
14
+
=
23
2+3
=
14
1+4
5
=
5
5
B
R
A
I
N
-
-
-
-
-
-
-
-
-
-
-
2
9
1
-
-
+
=
12
1+2
=
3
=
3
=
3
-
2
18
1
-
-
+
=
21
2+1
=
3
=
3
=
3
5
B
R
A
I
N
-
-
-
-
-
-
-
-
-
-
-
2
18
1
9
14
+
=
44
4+4
=
8
=
8
=
8
-
2
9
1
9
5
+
=
26
2+6
=
8
=
8
=
8
5
B
R
A
I
N
-
-
-
-
-
-
-
-
-
-
--
-
-
1
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
5
--
-
5
occurs
x
1
=
5
=
5
-
-
9
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
5
B
R
A
I
N
-
-
17
-
-
5
-
28
-
19
-
-
9
-
9
-
-
-
1+7
-
-
-
-
2+8
-
1+9
5
B
R
A
I
N
-
-
8
-
-
5
-
10
-
10
-
2
9
1
9
5
-
-
-
-
-
-
-
1+0
-
1+0
5
B
R
A
I
N
-
-
8
-
-
5
-
1
-
1

 

 

5
BRAIN
44
26
8
-
-
-
-
-
-
-
-
-
-
-
BRAINS
-
-
-
1
B
2
2
2
5
RAINS
61
25
7
6
BRAINS
63
27
9
-
-
6+3
2+7
-
6
BRAINS
9
9
9

 

 

-
RAINBOW
-
-
-
1
BRAIN
44
26
8
4
OW
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
3+7
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

-
RAINBOW
-
-
-
2
RA
2
2
2
2
IN
61
25
7
3
BOW
61
25
7
7
RAINBOW
82
37
9
-
-
8+2
3+7
-
7
RAINBOW
10
10
1
-
-
1+0
1+0
-
7
RAINBOW
1
1
1

 

 

--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
20
2+0
=
2
=
2
=
2
-
`-
-
-
-
9
14
-
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
-
`-
18
1
-
-
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
`-
18
1
-
9
14
-
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
-
9
1
-
9
5
-
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
-
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
22
7
R
A
-
I
N
-
B
O
W
-
-
23
-
-
7
-
37
-
19
2+2
-
9
-
-
9
-
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
4
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
10
-
10
-
-
9
1
-
9
5
-
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
4
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
20
2+0
=
2
=
2
=
2
`-
-
-
-
9
14
-
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
`-
18
1
-
-
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
`-
18
1
-
9
14
-
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
9
1
-
9
5
-
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
R
A
-
I
N
-
B
O
W
-
-
23
-
-
7
-
37
-
19
-
9
-
-
9
-
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
10
-
10
-
9
1
-
9
5
-
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

-
RAINBOW
-
-
-
1
R
18
9
9
1
A
1
1
1
1
I
9
9
9
4
NBOW
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
3+7
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

--
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
5
-
6
-
+
=
20
2+0
=
2
=
2
=
2
-
`-
-
-
9
14
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
--
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
9
1
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
-
`-
18
1
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
--
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
`-
18
1
9
14
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
-
9
1
9
5
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
-
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
22
7
R
A
I
N
B
O
W
-
-
23
-
-
7
-
37
-
19
2+2
-
9
-
9
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
4
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
10
-
10
-
-
9
1
9
5
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
4
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
9
5
-
6
-
+
=
20
2+0
=
2
=
2
=
2
`-
-
-
9
14
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
9
1
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
`-
18
1
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
`-
18
1
9
14
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
9
1
9
5
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
9
-
9
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
R
A
I
N
B
O
W
-
-
23
-
-
7
-
37
-
19
-
9
-
9
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
10
-
10
-
9
1
9
5
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

-
RAINBOW
-
-
-
1
BRAIN
44
26
8
4
OW
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
3+7
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

15
THE RAINBOW LIGHT
-
-
-
-
THE
33
15
6
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
-
L
12
3
3
-
I
9
9
9
-
G+H+T
35
17
8
15
THE RAINBOW LIGHT
171
81
54
1+5
-
1+7+1
8+1
5+4
6
THE RAINBOW LIGHT
9
9
9

 

 

-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
9
5
-
6
-
-
9
-
8
-
+
+
45
4+5
=
9
=
9
=
9
-
-
8
-
-
-
-
9
14
-
15
-
-
9
-
8
-
+
+
63
6+3
=
9
=
9
=
9
-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
-
9
1
-
-
2
-
5
-
3
-
7
-
14
+
+
36
3+6
=
9
=
9
=
9
-
-
20
-
5
-
18
1
-
-
2
-
23
-
12
-
7
-
20
+
+
108
1+0+8
=
9
=
9
=
9
-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
18
1
9
14
2
15
23
-
12
9
7
8
20
+
+
171
1+7+1
=
9
=
9
=
9
-
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
+
+
81
8+1
=
9
=
9
=
9
-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
-
-
4
FOUR
4
-
-
-
-
-
--
--
--
-
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
4
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
41
-
-
15
-
81
-
45
-
1+5
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
4
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9
-
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
4
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
-
-
9
5
-
6
-
-
9
-
8
-
+
+
45
4+5
=
9
=
9
=
9
-
8
-
-
-
-
9
14
-
15
-
-
9
-
8
-
+
+
63
6+3
=
9
=
9
=
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
2
-
5
-
9
1
-
-
2
-
5
-
3
-
7
-
14
+
+
36
3+6
=
9
=
9
=
9
-
20
-
5
-
18
1
-
-
2
-
23
-
12
-
7
-
20
+
+
108
1+0+8
=
9
=
9
=
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
20
8
5
-
18
1
9
14
2
15
23
-
12
9
7
8
20
+
+
171
1+7+1
=
9
=
9
=
9
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
+
+
81
8+1
=
9
=
9
=
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
--
-
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
41
-
-
15
-
81
-
45
1+5
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
-
9
5
-
6
-
9
-
8
-
+
+
45
4+5
=
9
=
9
=
9
-
8
-
-
-
9
14
-
15
-
9
-
8
-
+
+
63
6+3
=
9
=
9
=
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
2
-
5
9
1
-
-
2
-
5
3
-
7
-
14
+
+
36
3+6
=
9
=
9
=
9
-
20
-
5
18
1
-
-
2
-
23
12
-
7
-
20
+
+
108
1+0+8
=
9
=
9
=
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
--
-
-
-
-
-
20
8
5
18
1
9
14
2
15
23
12
9
7
8
20
+
+
171
1+7+1
=
9
=
9
=
9
-
2
8
5
9
1
9
5
2
6
5
3
9
7
8
2
+
+
81
8+1
=
9
=
9
=
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
2
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
--
-
5
-
-
-
5
-
-
5
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
9
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
41
-
-
15
-
81
-
45
1+5
-
-
-
9
-
9
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
6
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9
-
2
8
5
9
1
9
5
2
6
5
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
6
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

-
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
5
-
-
-
9
-
8
-
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
-
-
8
-
-
14
-
-
-
9
-
8
-
+
=
39
3+9
=
12
1+2
3
=
3
-
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
2
9
3
2
-
-
1
-
4
-
3
-
7
-
2
+
=
33
3+3
=
6
-
6
=
6
-
-
20
18
21
20
-
-
1
-
4
-
12
-
7
-
20
+
=
123
1+2+3
=
6
-
6
=
6
-
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
20
18
21
20
8
-
1
14
4
-
12
9
7
8
20
+
=
162
1+6+2
=
9
-
9
=
9
-T
-
2
9
3
2
8
-T
1
5
4
-T
3
9
7
8
2
+
=
63
6+3
=
9
-
9
=
9
-
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
18
1+8
9
6
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
39
-
1
12
-
54
-
45
-
1+2
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+9
-
-
1+2
-
5+4
-
4+5
6
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
12
-
1
3
-
9
-
9
-
-
2
9
3
2
8
-
1
5
4
-
3
9
7
8
2
-
-
1+2
-
-
-
-
-
-
-
6
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
3
-
-
3
-
9
-
9

 

 

12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
5
-
-
-
9
-
8
-
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
-
8
-
-
14
-
-
-
9
-
8
-
+
=
39
3+9
=
12
1+2
3
=
3
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
2
9
3
2
-
-
1
-
4
-
3
-
7
-
2
+
=
33
3+3
=
6
-
6
=
6
-
20
18
21
20
-
-
1
-
4
-
12
-
7
-
20
+
=
123
1+2+3
=
6
-
6
=
6
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
20
18
21
20
8
-
1
14
4
-
12
9
7
8
20
+
=
162
1+6+2
=
9
-
9
=
9
-
2
9
3
2
8
-T
1
5
4
-T
3
9
7
8
2
+
=
63
6+3
=
9
-
9
=
9
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
--
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
18
1+8
9
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
39
-
1
12
-
54
-
45
1+2
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+9
-
-
1+2
-
5+4
-
4+5
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
12
-
1
3
-
9
-
9
-
2
9
3
2
8
-
1
5
4
-
3
9
7
8
2
-
-
1+2
-
-
-
-
-
-
-
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
3
-
-
3
-
9
-
9

 

 

12
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
5
-
-
9
-
8
-
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
-
8
-
14
-
-
9
-
8
-
+
=
39
3+9
=
12
1+2
3
=
3
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
2
9
3
2
-
1
-
4
3
-
7
-
2
+
=
33
3+3
=
6
-
6
=
6
-
20
18
21
20
-
1
-
4
12
-
7
-
20
+
=
123
1+2+3
=
6
-
6
=
6
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
20
18
21
20
8
1
14
4
12
9
7
8
20
+
=
162
1+6+2
=
9
-
9
=
9
-
2
9
3
2
8
1
5
4
3
9
7
8
2
+
=
63
6+3
=
9
-
9
=
9
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
2
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
--
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
18
1+8
9
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
39
-
1
12
-
54
-
45
1+2
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
3+9
-
-
1+2
-
5+4
-
4+5
3
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
12
-
1
3
-
9
-
9
-
2
9
3
2
8
1
5
4
3
9
7
8
2
-
-
1+2
-
-
-
-
-
-
-
3
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
3
-
-
3
-
9
-
9

 

 

-
-
-
-
-
LIGHT
-
-
-
-
-
-
-
4
LIGH
36
27
9
-
-
-
-
1
T
20
2
2
L
=
3
-
5
LIGHT
56
29
11
-
-
1+0
-
-
-
5+6
2+9
1+1
-
-
1
-
9
LIGHT
11
11
7
-
-
1+0
-
-
-
1+1
1+1
-
-
-
1
-
9
LIGHT
2
2
2

 

 

-
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
-
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
-
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
+
=
12
1+2
=
3
=
3
-
3
-
-
12
-
7
-
20
+
=
39
3+9
=
12
1+2
3
-
3
-
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
12
9
7
8
20
+
=
56
5+6
=
11
1+1
2
-
2
-
-
3
9
7
8
2
+
=
29
2+9
=
11
1+1
2
-
2
-
5
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
--
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
16
5
L
I
G
H
T
-
-
29
-
1
5
-
29
-
29
1+6
-
-
9
-
-
-
-
-
2+9
-
-
-
-
2+9
-
2+9
7
5
L
I
G
H
T
-
-
11
-
1
5
-
11
-
11
-
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
7
5
L
I
G
H
T
-
-
2
-
-
5
-
2
-
2

 

 

5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
+
=
12
1+2
=
3
=
3
-
3
-
12
-
7
-
20
+
=
39
3+9
=
12
1+2
3
-
3
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
12
9
7
8
20
+
=
56
5+6
=
11
1+1
2
-
2
-
3
9
7
8
2
+
=
29
2+9
=
11
1+1
2
-
2
5
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
5
L
I
G
H
T
-
-
29
-
1
5
-
29
-
29
-
-
9
-
-
-
-
-
2+9
-
-
-
-
2+9
-
2+9
5
L
I
G
H
T
-
-
11
-
1
5
-
11
-
11
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
5
L
I
G
H
T
-
-
2
-
-
5
-
2
-
2

 

 

L
=
3
-
6
LIVING
73
37
1
H
=
8
-
4
HEAT
34
16
7
L
=
3
-
5
LIGHT
56
29
2
-
-
14
-
15
-
163
82
10
-
-
1+4
-
1+5
-
1+6+3
8+2
1+0
-
-
5
-
6
-
10
10
1
-
-
-
-
-
-
1+0
1+0
-
-
-
5
-
6
-
1
1
9

 

 

L
=
3
-
6
LOVING
79
34
7
H
=
8
-
4
HEAT
34
16
7
L
=
3
-
5
LIGHT
56
29
2
-
-
14
-
15
-
169
79
16
-
-
1+4
-
1+5
-
1+6+9
7+9
1+6
-
-
5
-
6
-
16
10
7
-
-
-
-
-
-
1+6
1+0
-
-
-
5
-
6
-
7
7
7

 

 

P
=
7
-
4
PARTICLES
103
40
4
O
=
6
-
1
OF
21
12
3
L
=
3
-
5
LIGHT
56
29
2
-
-
16
-
10
-
180
81
9
-
-
1+6
-
1+0
-
1+8+0
8+1
-
-
-
7
-
1
-
9
9
9

 

 

9
PARTICLES
103
40
4
2
OF
21
12
3
5
LIGHT
56
29
2
16
Add to Reduce
180
81
9
1+6
Reduce to Deduce
1+8+0
8+1
-
7
Essence of Number
9
9
9

 

 

-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
1
-
6
-
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
-
-
-
-
-
-
9
-
-
-
19
-
15
-
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
7
1
9
2
-
3
3
5
-
-
-
6
-
3
-
7
-
2
+
=
48
4+8
=
12
1+2
3
=
3
-
-
16
1
18
20
-
3
12
5
-
-
-
6
-
12
-
7
-
20
+
=
120
1+2+0
=
3
=
3
=
3
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
16
1
18
20
9
3
12
5
19
-
15
6
-
12
9
7
8
20
+
=
180
1+8+0
=
9
=
9
=
9
-
-
7
1
9
2
9
3
3
5
1
-T
6
6
-T
3
9
7
8
2
+
=
81
8+1
=
9
=
9
=
9
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
3
3
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
=
9
4
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
41
-
1
16
-
81
-
45
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+6
-
8+1
-
4+5
4
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
1
7
-
9
-
9
-
-
7
1
9
2
9
3
-
5
1
-
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
4
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
-
7
-
9
-
9

 

 

16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
1
-
6
-
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
-
-
-
-
-
9
-
-
-
19
-
15
-
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
7
1
9
2
-
3
3
5
-
-
-
6
-
3
-
7
-
2
+
=
48
4+8
=
12
1+2
3
=
3
-
16
1
18
20
-
3
12
5
-
-
-
6
-
12
-
7
-
20
+
=
120
1+2+0
=
3
=
3
=
3
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
16
1
18
20
9
3
12
5
19
-
15
6
-
12
9
7
8
20
+
=
180
1+8+0
=
9
=
9
=
9
-
7
1
9
2
9
3
3
5
1
-T
6
6
-T
3
9
7
8
2
+
=
81
8+1
=
9
=
9
=
9
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
3
3
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
=
9
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
41
-
1
16
-
81
-
45
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+6
-
8+1
-
4+5
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
1
7
-
9
-
9
-
7
1
9
2
9
3
-
5
1
-
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
-
7
-
9
-
9

 

 

16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
1
6
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
-
-
-
-
-
9
-
-
-
19
15
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
7
1
9
2
-
3
3
5
-
-
6
3
-
7
-
2
+
=
48
4+8
=
12
1+2
3
=
3
-
16
1
18
20
-
3
12
5
-
-
6
12
-
7
-
20
+
=
120
1+2+0
=
3
=
3
=
3
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
16
1
18
20
9
3
12
5
19
15
6
12
9
7
8
20
+
=
180
1+8+0
=
9
=
9
=
9
-
7
1
9
2
9
3
3
5
1
6
6
3
9
7
8
2
+
=
81
8+1
=
9
=
9
=
9
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
3
3
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
--
7
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
=
9
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
41
-
1
16
-
81
-
45
-
-
-
9
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+6
-
8+1
-
4+5
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
5
-
1
7
-
9
-
9
-
7
1
9
2
9
3
-
5
1
6
6
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
5
-
-
7
-
9
-
9

 

 

-
10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
-
-
-
1
+
=
18
1+8
=
9
=
9
=
9
-
`-
-
9
-
8
-
-
-
-
-
-
19
+
=
36
3+6
=
9
=
9
=
9
-
10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
-
5
1
4
5
-
+
=
27
2+7
=
9
=
9
=
9
-
`-
12
-
7
-
20
-
23
1
22
5
-
+
=
90
7+5
=
9
=
9
=
9
-
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
`-
12
9
7
8
20
-
23
1
22
5
19
+
=
126
1+2+6
=
9
=
9
=
9
-
-
3
9
7
8
2
-T
5
1
4
5
1
+
=
45
4+5
=
9
=
9
=
9
-
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
6
10
L
I
G
H
T
-
W
A
V
E
S
-
-
39
-
1
12
-
45
-
36
-
1+0
-
9
-
-
-
-
-
-
-
-
-
-
-
3+9
-
-
1+2
-
4+5
-
3+6
6
1
L
I
G
H
T
-
W
A
V
E
S
-
-
12
-
1
3
-
9
-
9
-
-
3
9
7
8
2
-
5
1
4
5
1
-
-
1+2
-
-
-
-
-
-
-
6
1
L
I
G
H
T
-
W
A
V
E
S
-
-
3
-
-
3
-
9
-
9

 

 

10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
-
-
-
1
+
=
18
1+8
=
9
=
9
=
9
`-
-
9
-
8
-
-
-
-
-
-
19
+
=
36
3+6
=
9
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
-
5
1
4
5
-
+
=
27
2+7
=
9
=
9
=
9
`-
12
-
7
-
20
-
23
1
22
5
-
+
=
90
7+5
=
9
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
`-
12
9
7
8
20
-
23
1
22
5
19
+
=
126
1+2+6
=
9
=
9
=
9
-
3
9
7
8
2
-T
5
1
4
5
1
+
=
45
4+5
=
9
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-
-
39
-
1
12
-
45
-
36
1+0
-
9
-
-
-
-
-
-
-
-
-
-
-
3+9
-
-
1+2
-
4+5
-
3+6
1
L
I
G
H
T
-
W
A
V
E
S
-
-
12
-
1
3
-
9
-
9
-
3
9
7
8
2
-
5
1
4
5
1
-
-
1+2
-
-
-
-
-
-
-
1
L
I
G
H
T
-
W
A
V
E
S
-
-
3
-
-
3
-
9
-
9

 

 

10
L
I
G
H
T
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
-
-
1
+
=
18
-
=
9
=
9
=
9
`-
-
9
-
8
-
-
-
-
-
19
+
=
38
-
=
9
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
5
1
4
5
-
+
=
27
2+7
=
9
=
9
=
9
`-
12
-
7
-
20
23
1
22
5
-
+
=
90
7+5
=
9
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
`-
12
9
7
8
20
23
1
22
5
19
+
=
126
1+2+6
=
9
=
9
=
9
-
3
9
7
8
2
5
1
4
5
1
+
=
45
4+5
=
9
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
2
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
3
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-
-
39
-
1
12
-
45
-
36
1+0
-
9
-
-
-
-
-
-
-
-
-
-
3+9
-
-
1+2
-
4+5
-
3+6
1
L
I
G
H
T
W
A
V
E
S
-
-
12
-
1
3
-
9
-
9
-
3
9
7
8
2
5
1
4
5
1
-
-
1+2
-
-
-
-
-
-
-
1
L
I
G
H
T
W
A
V
E
S
-
-
3
-
-
3
-
9
-
9

 

 

5
WAVES
70
16
7
9
PARTICLES
103
40
4

 

 

4
WAVE
51
15
6
9
PARTICLES
103
40
4
13
First Total
154
55
10
1+3
Add to Reduce
1+5+4
5+5
1+0
4
Second Total
10
10
1
-
Reduce to Deduce
1+0
1+0
-
4
Essence of Number
1
1
1

 

 

W
=
5
4
WAVE
51
15
6
P
=
7
8
PARTICLE
84
39
3
-
-
12
12
Add to Reduce
135
54
9
-
-
1+2
1+2
Reduce to Deduce
1+3+5
5+4
-
-
-
3
3
Essence of Number
9
9
9

 

 

-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
5
1
4
5
-
7
1
9
2
-
3
3
5
+
=
45
4+5
=
9
=
9
=
9
-
-
23
1
22
5
-
16
1
18
20
-
3
12
5
+
=
126
1+2+6
=
9
=
9
=
9
-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
23
1
22
5
-
16
1
18
20
9
3
12
5
+
=
135
1+3+5
=
9
=
9
=
9
-
-
5
1
4
5
-
7
1
9
2
9
3
3
5
+
=
54
5+4
=
9
=
9
=
9
-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
14
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
31
-
-
12
-
54
-
36
1+4
1+2
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
3+1
-
-
1+2
-
5+4
-
3+6
5
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9
-
-
5
1
4
5
-
7
1
9
2
9
3
3
5
-
-
-
-
-
-
-
-
-
-
5
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9

 

 

12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
5
1
4
5
-
7
1
9
2
-
3
3
5
+
=
45
4+5
=
9
=
9
=
9
-
23
1
22
5
-
16
1
18
20
-
3
12
5
+
=
126
1+2+6
=
9
=
9
=
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
23
1
22
5
-
16
1
18
20
9
3
12
5
+
=
135
1+3+5
=
9
=
9
=
9
-
5
1
4
5
-
7
1
9
2
9
3
3
5
+
=
54
5+4
=
9
=
9
=
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
5
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
31
-
-
12
-
54
-
36
1+2
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
3+1
-
-
1+2
-
5+4
-
3+6
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9
-
5
1
4
5
-
7
1
9
2
9
3
3
5
-
-
-
-
-
-
-
-
-
-
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9

 

 

12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
5
1
4
5
7
1
9
2
-
3
3
5
+
=
45
4+5
=
9
=
9
=
9
-
23
1
22
5
16
1
18
20
-
3
12
5
+
=
126
1+2+6
=
9
=
9
=
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
23
1
22
5
16
1
18
20
9
3
12
5
+
=
135
1+3+5
=
9
=
9
=
9
-
5
1
4
5
7
1
9
2
9
3
3
5
+
=
54
5+4
=
9
=
9
=
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
5
-
-
5
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
31
-
-
12
-
54
-
36
1+2
-
-
-
-
-
-
9
-
9
-
-
-
-
-
3+1
-
-
1+2
-
5+4
-
3+6
3
W
A
V
E
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9
-
5
1
4
5
7
1
9
2
9
3
3
5
-
-
-
-
-
-
-
-
-
-
3
W
A
V
E
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9

 

 

S
=
1
-
5
SPEED
49
22
4
O
=
6
-
2
OF
21
12
3
L
=
3
-
5
LIGHT
56
29
2
-
-
10
-
12
-
126
63
9
-
-
1+0
-
1+2
-
1+2+6
6+3
-
-
-
1
-
3
-
9
9
9

 

 

-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
6
-
-
-
9
-
8
-
+
=
24
2+4
=
6
=
6
=
6
-
-
19
-
-
-
-
-
15
-
-
-
9
-
8
-
+
=
51
5+1
=
6
=
6
=
6
-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
7
5
5
4
-
-
6
-
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
-
-
-
16
5
5
4
-
-
6
-
12
-
7
-
20
+
=
75
7+5
=
12
1+2
3
=
3
-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
19
16
5
5
4
-
15
6
-
12
9
7
8
20
+
=
126
1+2+6
=
9
=
9
=
9
--
-
1
7
5
5
4
-T
6
6
-T
3
9
7
8
2
+
=
63
6+3
=
9
=
9
=
9
-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
5
5
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
--
-
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
27
=
9
45
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
45
-
1
12
-
81
-
36
4+5
1+2
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+2
-
8+1
-
3+4
9
3
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
9
-
1
3
-
9
-
9
-
-
1
7
5
5
4
-
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
3
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
9
-
-
3
-
9
-
9

 

 

-
12
S
P
E
E
D
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
6
-
-
9
-
8
-
+
=
24
2+4
=
6
=
6
=
6
-
-
19
-
-
-
-
15
-
-
9
-
8
-
+
=
51
5+1
=
6
=
6
=
6
-
12
S
P
E
E
D
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
7
5
5
4
-
6
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
-
-
-
16
5
5
4
-
6
12
-
7
-
20
+
=
75
7+5
=
12
1+2
3
=
3
-
12
S
P
E
E
D
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
19
16
5
5
4
15
6
12
9
7
8
20
+
=
126
1+2+6
=
9
=
9
=
9
--
-
1
7
5
5
4
6
6
3
9
7
8
2
+
=
63
6+3
=
9
=
9
=
9
-
12
S
P
E
E
D
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
5
5
-
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
--
-
7
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
27
=
9
45
12
S
P
E
E
D
O
F
L
I
G
H
T
-
-
45
-
1
12
-
81
-
36
4+5
1+2
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+2
-
8+1
-
3+4
9
3
S
P
E
E
D
O
F
L
I
G
H
T
-
-
9
-
1
3
-
9
-
9
-
-
1
7
5
5
4
6
6
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
3
S
P
E
E
D
O
F
L
I
G
H
T
-
-
9
-
-
3
-
9
-
9

 

 

16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
-
-
1
-
9
-
-
-
-
6
-
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
`-
-
-
-
19
-
9
-
-
-
-
15
-
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
6
5
-
2
-
4
1
3
-
-
6
-
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
`-
-
6
5
-
20
-
22
1
12
-
-
6
-
12
-
7
-
20
+
=
111
1+1+1
=
3
=
3
=
3
16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
6
5
19
20
9
22
1
12
-
15
6
-
12
9
7
8
20
+
=
171
1+7+1
=
9
=
9
=
9
-
-
6
5
1
2
9
4
1
3
-T
6
6
-T
3
9
7
8
2
+
=
72
7+2
=
9
=
9
=
9
16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
6
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
45
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
45
-
1
15
-
72
-
54
4+5
1+5
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+5
-
7+2
-
5+4
9
6
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
9
-
1
6
-
9
-
9
-
-
6
5
1
2
9
4
1
3
-T
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
6
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
9
-
-
6
-
9
-
9

 

 

16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
-
-
1
-
9
-
-
-
6
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
`-
-
-
-
19
-
9
-
-
-
15
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
6
5
-
2
-
4
1
3
-
6
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
`-
-
6
5
-
20
-
22
1
12
-
6
12
-
7
-
20
+
=
111
1+1+1
=
3
=
3
=
3
16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
6
5
19
20
9
22
1
12
15
6
12
9
7
8
20
+
=
171
1+7+1
=
9
=
9
=
9
-
-
6
5
1
2
9
4
1
3
6
6
3
9
7
8
2
+
=
72
7+2
=
9
=
9
=
9
16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
3
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
6
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
--
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
45
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
45
-
1
15
-
72
-
54
4+5
1+5
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+5
-
7+2
-
5+4
9
6
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
9
-
1
6
-
9
-
9
-
-
6
5
1
2
9
4
1
3
6
6
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
6
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
9
-
-
6
-
9
-
9

 

 

-
4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
+
=
5
-
=
6
=
6
=
6
-
-
-
-
-
24
+
=
24
2+4
=
6
=
6
=
6
-
4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
-
-
6
3
3
-
+
=
12
1+2
=
3
=
3
=
3
-
-
6
12
21
-
+
=
39
3+9
=
12
1+2
3
=
3
-
4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
-
-
6
12
21
24
+
=
72
7+2
=
9
=
9
=
9
-
-
6
3
3
6
+
=
18
1+8
=
9
=
9
=
9
-
4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
6
-
-
6
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
36
4
F
L
U
X
-
-
9
-
-
4
-
18
-
9
3+6
-
-
-
-
-
-
-
`-
-
-
-
-
1+8
-
`-
9
4
F
L
U
X
-
-
9
-
-
4
-
9
-
9
-
-
6
3
3
6
-
-
-
-
-
-
-
-
-
-
9
4
F
L
U
X
-
-
9
-
-
4
-
9
-
9

 

 

4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
+
=
5
-
=
6
=
6
=
6
-
-
-
-
24
+
=
24
2+4
=
6
=
6
=
6
4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
-
6
3
3
-
+
=
12
1+2
=
3
=
3
=
3
-
6
12
21
-
+
=
39
3+9
=
12
1+2
3
=
3
4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
-
6
12
21
24
+
=
72
7+2
=
9
=
9
=
9
-
6
3
3
6
+
=
18
1+8
=
9
=
9
=
9
4
F
L
U
X
-
-
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
-
6
-
-
6
-
-
6
occurs
x
2
=
12
1+2
3
4
F
L
U
X
-
-
9
-
-
4
-
18
-
9
-
-
-
-
-
-
-
`-
-
-
-
-
1+8
-
`-
4
F
L
U
X
-
-
9
-
-
4
-
9
-
9
-
6
3
3
6
-
-
-
-
-
-
-
-
-
-
4
F
L
U
X
-
-
9
-
-
4
-
9
-
9

 

 

-
4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
+
=
12
1+2
=
3
=
3
=
3
-
-
-
15
15
-
+
=
30
3+0
=
3
=
3
=
3
-
4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
+
=
6
-
=
6
=
6
=
6
-
-
3
-
-
12
+
=
15
1+5
=
6
=
6
=
6
-
4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
-
-
3
15
15
12
+
=
45
4+5
=
9
=
9
=
9
-
-
3
6
6
3
+
=
18
1+8
=
9
=
9
=
9
-
4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
3
-
-
3
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
-
6
6
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
36
4
C
O
O
L
-
-
9
-
-
4
-
18
-
9
3+6
-
-
-
-
-
-
-
`-
-
-
-
-
1+8
-
`-
9
4
C
O
O
L
-
-
9
-
-
4
-
9
-
9
-
-
3
6
6
3
-
-
-
-
-
-
-
-
-
-
9
4
C
O
O
L
-
-
9
-
-
4
-
9
-
9

 

 

4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
+
=
12
1+2
=
3
=
3
=
3
-
-
15
15
-
+
=
30
3+0
=
3
=
3
=
3
4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
+
=
6
-
=
6
=
6
=
6
-
3
-
-
12
+
=
15
1+5
=
6
=
6
=
6
4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
-
3
15
15
12
+
=
45
4+5
=
9
=
9
=
9
-
3
6
6
3
+
=
18
1+8
=
9
=
9
=
9
4
C
O
O
L
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
-
-
3
occurs
x
2
=
6
=
6
-
-
6
6
-
-
-
6
occurs
x
2
=
12
1+2
3
4
C
O
O
L
-
-
9
-
-
4
-
18
-
9
-
-
-
-
-
-
-
`-
-
-
-
-
1+8
-
`-
4
C
O
O
L
-
-
9
-
-
4
-
9
-
9
-
3
6
6
3
-
-
-
-
-
-
-
-
-
-
4
C
O
O
L
-
-
9
-
-
4
-
9
-
9

 

 

SEE ME SEE

REAL

COLOUR THE COLOUR

OF

MAGIC

 

-
COLOUR
-
-
-
1
C
3
3
3
1
O
15
6
6
1
L
12
3
3
1
O
15
6
6
1
U
21
3
3
1
R
18
9
9
6
COLOUR
84
30
30
-
-
8+4
3+0
3+0
6
COLOUR
12
3
3
-
-
1+2
-
-
6
COLOUR
3
3
3

 

 

q-
6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
6
-
-
+
=
12
1+2
=
3
=
3
=
3
-
-
-
15
-
15
-
-
+
=
30
3+0
=
3
=
3
=
3
q-
6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
-
-
3
-
3
-
3
9
+
=
18
1+8
=
9
=
9
=
9
-
-
3
-
12
-
21
18
+
=
54
5+4
=
9
=
9
=
9
q-
6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
-
-
3
15
12
15
21
18
+
=
84
8+4
=
12
1+2
3
=
3
-
-
3
6
3
6
3
9
+
=
30
3+0
=
3
=
3
=
3
-
6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
3
--
3
--
3
-
-
-
3
occurs
x
3
=
9
=
9
4
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
-
6
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
=
9
27
6
C
O
L
O
U
R
-
-
18
-
-
6
-
30
-
21
2+7
-
-
-
-
-
-
9
-
-
1+8
-
-
-
-
3+0
-
2+1
9
6
C
O
L
O
U
R
-
-
9
-
-
6
9
3
9
3
-
-
3
6
3
6
3
9
-
-
-
-
-
-
-
-
-
-
9
6
C
O
L
O
U
R
-
-
9
-
-
6
9
3
9
3

 

 

6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
-
-
6
-
6
-
-
+
=
12
1+2
=
3
=
3
=
3
-
-
15
-
15
-
-
+
=
30
3+0
=
3
=
3
=
3
6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
-
3
-
3
-
3
9
+
=
18
1+8
=
9
=
9
=
9
-
3
-
12
-
21
18
+
=
54
5+4
=
9
=
9
=
9
6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
-
3
15
12
15
21
18
+
=
84
8+4
=
12
1+2
3
=
3
-
3
6
3
6
3
9
+
=
30
3+0
=
3
=
3
=
3
6
C
O
L
O
U
R
-
-
-
-
-
-
-
-
-
-
-
3
--
3
--
3
-
-
-
3
occurs
x
3
=
9
=
9
-
-
6
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
=
9
6
C
O
L
O
U
R
-
-
18
-
-
6
-
30
-
21
-
-
-
-
-
-
9
-
-
1+8
-
-
-
-
3+0
-
2+1
6
C
O
L
O
U
R
-
-
9
-
-
6
9
3
9
3
-
3
6
3
6
3
9
-
-
-
-
-
-
-
-
-
-
6
C
O
L
O
U
R
-
-
9
-
-
6
9
3
9
3

 

 

C
=
3
-
4
COAT
39
12
3
O
=
6
-
2
OF
21
12
3
M
=
4
-
4
MANY
53
17
8
C
=
3
-
7
COLOURS
103
31
4
-
-
16
-
17
-
216
90
18
-
-
1+6
-
1+7
-
2+1+6
8+1
1+8
-
-
7
-
8
-
9
9
9

 

 

q-
17
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
-
-
-
-
5
-
-
-
6
-
6
-
-
1
+
=
30
3+0
=
3
=
3
=
3
-
-
-
15
-
-
-
15
-
-
-
-
14
-
-
-
15
-
15
-
-
19
+
=
93
9+3
=
12
1+2
3
=
3
q-
17
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
-
-
-
-
-
-
-
3
-
1
2
-
-
6
-
4
1
-
7
-
3
-
3
-
3
9
-
+
=
42
4+2
=
42
4+2
6
=
6
-
-
3
-
1
20
-
-
6
-
13
1
-
25
-
3
-
12
-
21
18
-
+
=
123
1+2+3
=
6
=
6
=
6
q-
17
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
-
-
-
-
-
-
-
3
15
1
20
-
15
6
-
13
1
14
25
-
3
15
12
15
21
18
19
+
=
216
2+1+6
=
9
=
9
=
9
-
-
3
6
1
2
-
6
6
-
4
1
5
7
-
3
6
3
6
3
9
1
+
=
72
7+2
=
9
=
9
=
9
-
17
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
-
-
-
-
-
q-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
3
--
-
-
-
--
-
-
-
-
-
-
-
3
--
3
--
3
-
-
-
-
3
occurs
x
4
=
12
1+2
3
q-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
6
-
-
-
6
6
-
-
-
-
-
-
-
6
-
6
-
-
-
-
-
6
occurs
x
5
=
30
3+0
3
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
=
9
8
17
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
37
-
-
17
-
72
-
36
-
1+7
-
6
-
-
-
6
6
-
-
-
-
-
-
-
6
-
6
-
-
-
-
-
3+7
-
-
1+7
-
7+2
-
3+1
8
8
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
10
-
-
8
-
72
-
9
-
-
3
6
1
2
-
-
6
-
4
1
5
7
-
-
3
6
3
6
9
1
-
-
1+0
-
-
-
-
-
-
-
8
6
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
1
-
-
8
9
9
9
9

 

 

q-
21
G
O
D
S
-
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
--
-
-
-
-
-
-
-
6
-
1
-
-
6
-
-
-
6
-
-
-
-
5
-
-
-
6
-
6
-
-
1
+
=
37
3+7
=
10
1+0
1
=
1
-
-
-
15
-
19
-
-
15
-
-
-
15
-
-
-
-
14
-
-
-
15
-
15
-
-
19
+
=
127
1+2+7
=
10
1+0
1
=
1
q-
21
G
O
D
S
-
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
--
-
-
-
-
-
-
7
-
4
-
-
3
-
1
2
-
-
6
-
4
1
-
7
-
3
-
3
-
3
9
-
+
=
53
5+3
=
8
=
8
=
8
-
-
7
-
4
-
-
3
-
1
20
-
-
6
-
13
1
-
25
-
3
-
12
-
21
18
-
+
=
134
1+3+4
=
8
=
8
=
8
q-
21
G
O
D
S
-
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
--
-
-
-
-
-
-
7
15
4
19
-
3
15
1
20
-
15
6
-
13
1
14
25
-
3
15
12
15
21
18
19
+
=
261
2+6+1
=
9
=
9
=
9
-
-
7
6
4
1
-
3
6
1
2
-
6
6
-
4
1
5
7
-
3
6
3
6
3
9
1
+
=
90
9+0
=
9
=
9
=
9
-
21
G
O
D
S
-
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
-
-
-
-
-
-
-
-
q-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
4
=
4
=
4
-
``-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
3
--
-
-
-
--
-
-
-
-
-
-
-
3
--
3
--
3
-
-
-
-
3
occurs
x
4
=
12
1+2
3
q-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
6
-
-
-
-
6
-
-
-
6
6
-
-
-
-
-
-
-
6
-
6
-
-
-
-
-
6
occurs
x
6
=
36
3+6
9
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
=
9
8
21
G
O
D
S
-
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
37
-
-
21
-
90
-
45
-
2+1
-
6
-
-
-
-
6
-
-
-
6
6
-
-
-
-
-
-
-
6
-
6
-
9
-
-
-
3+7
-
-
2+1
-
9+0
-
4+5
8
3
G
O
D
S
-
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
10
-
-
3
-
9
-
9
-
-
7
6
4
1
-
3
6
1
2
-
-
6
-
4
1
5
7
-
-
3
6
3
6
3
9
1
1+0
8
3
G
O
D
S
-
C
O
A
T
-
O
F
-
M
A
N
Y
-
C
O
L
O
U
R
S
-
-
1
-
-
3
9
9
9
9

 

 

-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
-
+
=
26
2+6
=
8
=
8
=
8
-
-
-
-
-
8
-
-
15
-
-
-
-
-
-
-
-
-
-
-
15
-
-
-
15
-
+
=
53
5+3
=
8
=
8
=
8
-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
-
-
-
-
-
-
-
5
1
3
-
-
6
-
9
-
1
3
3
-
1
3
3
-
6
-
9
-
7
-
4
+
=
64
6+4
=
10
 1+0
1
=
1
-
-
5
1
3
-
-
6
-
18
-
1
12
12
-
1
12
12
-
6
-
18
-
7
-
4
+
=
118
1+1+8
=
10
1+0
1
=
1
-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
-
-
-
-
-
-
-
5
1
3
8
-
6
15
18
-
1
12
12
-
1
12
12
-
6
15
18
-
7
15
4
+
=
171
1+7+1
=
90
9+0
9
=
9
-
-
5
1
3
8
-
6
6
9
-
1
3
3
-
1
3
3
-
6
6
9
-
7
6
4
+
=
90
9+0
=
9
=
9
=
9
-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
3
-
-
3
3
-
-
-
-
-
-
-
-
-
-
3
occurs
x
5
=
15
1+5
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
-
5
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
-
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
2
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
43
-
-
19
-
90
-
45
-
1+9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
4+3
-
-
1+0
-
9+0
-
4+5
2
10
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
7
-
-
1
-
9
-
9
-
1+0
5
1
3
8
-
6
6
9
-
1
3
3
-
1
3
3
-
6
6
9
-
7
6
4
-
-
-
-
-
-
-
-
-
2
1
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
7
-
-
1
-
9
-
9

 

 

-
5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-````
-
-
6
-
-
9
1
+
=
16
1+6
=
7
=
7
-
-
-
15
-
-
9
19
+
=
43
4+3
=
7
=
7
-
5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-
-
7
-
4
-
-
-
+
=
11
1+1
=
2
=
2
-
5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-
-
7
15
4
-
9
19
+
=
54
5+4
=
9
=
9
-
-
7
6
4
-
9
1
+
=
27
2+7
=
9
=
9
-
5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
3
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
--
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
8
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
18
5
G
O
D
-
I
S
-
-
27
-
-
5
-
27
1+8
-
-
-
-
-
9
-
-
-
2+7
-
-
-
-
2+7
9
5
G
O
D
-
I
S
-
-
9
-
-
5
-
9
-
-
7
6
4
-
9
1
-
-
-
-
-
-
-
-
9
5
G
O
D
-
I
S
-
-
9
-
-
5
-
9

 

 

5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-
-
6
-
-
9
1
+
=
16
1+6
=
7
=
7
-
-
15
-
-
9
19
+
=
43
4+3
=
7
=
7
5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-
7
-
4
-
-
-
+
=
11
1+1
=
2
=
2
5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-
7
15
4
-
9
19
+
=
54
5+4
=
9
=
9
-
7
6
4
-
9
1
+
=
27
2+7
=
9
=
9
5
G
O
D
-
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
--
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
5
G
O
D
-
I
S
-
-
27
-
-
5
-
27
-
-
-
-
-
9
-
-
-
2+7
-
-
-
-
2+7
5
G
O
D
-
I
S
-
-
9
-
-
5
-
9
-
7
6
4
-
9
1
-
-
-
-
-
-
-
-
5
G
O
D
-
I
S
-
-
9
-
-
5
-
9

 

 

5
G
O
D
I
S
-
-
-
-
-
-
-
-
-
-
6
-
9
1
+
=
16
1+6
=
7
=
7
-
-
15
-
9
19
+
=
43
4+3
=
7
=
7
5
G
O
D
I
S
-
-
-
-
-
-
-
-
-
7
-
4
-
-
+
=
11
1+1
=
2
=
2
5
G
O
D
I
S
-
-
-
-
-
-
-
-
-
7
15
4
9
19
+
=
54
5+4
=
9
=
9
-
7
6
4
9
1
+
=
27
2+7
=
9
=
9
5
G
O
D
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
--
-
6
-
-
-
-
-
6
occurs
x
1
=
6
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
5
G
O
D
I
S
-
-
27
-
-
5
-
27
-
-
-
-
9
-
-
-
2+7
-
-
-
-
2+7
5
G
O
D
I
S
-
-
9
-
-
5
-
9
-
7
6
4
9
1
-
-
-
-
-
-
-
-
5
G
O
D
I
S
-
-
9
-
-
5
-
9

 

 

-
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
1
-
6
1
+
=
22
2+2
=
4
=
4
=
4
-
-
-
8
-
-
-
15
19
-
15
19
+
=
76
7+6
=
13
1+3
4
=
4
-
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
4
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
20
-
5
-
3
-
-
13
-
-
+
=
41
4+1
=
5
=
5
=
5
-
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
19
13
15
19
+
=
117
1+1+7
=
9
=
9
=
9
-
-
2
8
5
-
3
6
1
4
6
1
+
=
36
3+6
=
9
=
9
=
9
-
9
T
H
E
-
C
O
S
M
O
S
T
-
-
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-2-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
--
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
--
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
--
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
7
-
7
7
-
-
-
9
NINE
-
-
-
-
-
-
16
9
T
H
E
-
C
O
S
M
O
S
-
-
29
-
-
9
-
36
-
27
1+6
-
-
-
-
-
-
-
-
-
-
-
-
-
2+9
-
-
-
-
3+6
-
2+7
7
9
T
H
E
-
C
O
S
M
O
S
-
-
11
-
-
9
-
9
-
9
-
-
2
8
5
-
3
6
1
4
6
1
-
-
1+1
-
-
-
-
-
-
-
7
9
T
H
E
-
C
O
S
M
O
S
-
-
2
-
-
9
-
9
-
9

 

 

9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
1
-
6
1
+
=
22
2+2
=
4
=
4
=
4
-
-
8
-
-
-
15
19
-
15
19
+
=
76
7+6
=
13
1+3
4
=
4
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
4
-
-
+
=
14
1+4
=
5
=
5
=
5
-
20
-
5
-
3
-
-
13
-
-
+
=
41
4+1
=
5
=
5
=
5
9
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
19
13
15
19
+
=
117
1+1+7
=
9
=
9
=
9
-
2
8
5
-
3
6
1
4
6
1
+
=
36
3+6
=
9
=
9
=
9
9
T
H
E
-
C
O
S
M
O
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
--
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
--
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
T
H
E
-
C
O
S
M
O
S
-
-
29
-
-
9
-
36
-
27
-
-
-
-
-
-
-
-
-
-
-
-
-
2+9
-
-
-
-
3+6
-
2+7
9
T
H
E
-
C
O
S
M
O
S
-
-
11
-
-
9
-
9
-
9
-
2
8
5
-
3
6
1
4
6
1
-
-
1+1
-
-
-
-
-
-
-
9
T
H
E
-
C
O
S
M
O
S
-
-
2
-
-
9
-
9
-
9

 

 

-
14
G
O
D
-
I
S
-
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
9
1
-
-
8
-
-
-
6
1
-
6
1
+
=
38
3+8
=
11
1+1
2
1+1
2
-
-
-
15
-
-
9
19
-
-
8
-
-
-
15
19
-
15
19
+
=
119
1+1+9
=
11
1+1
2
1+1
2
-
14
G
O
D
-
I
S
-
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
7
-
4
-
-
-
-
2
-
5
-
3
-
-
4
-
-
+
=
25
2+5
=
7
=
7
=
7
-
-
7
-
4
-
-
-
-
20
-
5
-
3
-
-
13
-
-
+
=
52
5+2
=
7
=
7
=
7
-
14
G
O
D
-
I
S
-
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
7
15
4
-
9
19
-
20
8
5
-
3
15
19
13
15
19
+
=
171
1+7+1
=
9
=
9
=
9
-
-
7
6
4
-
9
1
-
2
8
5
-
3
6
1
4
6
1
+
=
63
6+3
=
9
=
9
=
9
-
14
G
O
D
-
I
S
-
T
H
E
-
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
2
=
8
=
8
5
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
6
-
-
-
-
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
9
-
-
-
-
-
-
-
7
-
7
7
-
-
-
9
occurs
x
1
=
9
=
9
45
14
G
O
D
-
I
S
-
T
H
E
-
C
O
S
M
O
S
-
-
45
-
-
14
-
63
-
54
4+5
1+4
-
-
-
-
9
-
-
-
-
-
-
-
7
-
7
7
-
-
-
4+5
-
-
1+4
-
6+3
-
5+4
9
5
G
O
D
-
I
S
-
T
H
E
-
C
O
S
M
O
S
-
-
9
-
-
5
-
9
-
9
-
-
7
6
4
-
9
1
-
2
8
5
-
3
6
1
4
6
1
-
-
-
-
-
-
-
-
-
-
9
5
G
O
D
-
I
S
-
T
H
E
-
C
O
S
M
O
S
-
-
9
-
-
5
-
9
-
9

 

 

-
14
G
O
D
I
S
T
H
E
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
1
-
8
-
-
6
1
-
6
1
+
=
38
3+8
=
11
1+1
2
1+1
2
-
-
-
15
-
9
19
-
8
-
-
15
19
-
15
19
+
=
119
1+1+9
=
11
1+1
2
1+1
2
-
14
G
O
D
I
S
T
H
E
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
7
-
4
-
-
2
-
5
3
-
-
4
-
-
+
=
25
2+5
=
7
=
7
=
7
-
-
7
-
4
-
-
20
-
5
3
-
-
13
-
-
+
=
52
5+2
=
7
=
7
=
7
-
14
G
O
D
I
S
T
H
E
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
-
-
7
15
4
9
19
20
8
5
3
15
19
13
15
19
+
=
171
1+7+1
=
9
=
9
=
9
-
-
7
6
4
9
1
2
8
5
3
6
1
4
6
1
+
=
63
6+3
=
9
=
9
=
9
-
14
G
O
D
I
S
T
H
E
C
O
S
M
O
S
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
2
=
8
=
8
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
6
-
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
9
-
-
-
-
-
7
-
7
7
-
-
-
9
occurs
x
1
=
9
=
9
45
14
G
O
D
I
S
T
H
E
C
O
S
M
O
S
-
-
45
-
-
14
-
63
-
54
4+5
1+4
-
-
-
9
-
-
-
-
-
7
-
7
7
-
-
-
4+5
-
-
1+4
-
6+3
-
5+4
9
5
G
O
D
I
S
T
H
E
C
O
S
M
O
S
-
-
9
-
-
5
-
9
-
9
-
-
7
6
4
9
1
2
8
5
3
6
1
4
6
1
-
-
-
-
-
-
-
-
-
-
9
5
G
O
D
I
S
T
H
E
C
O
S
M
O
S
-
-
9
-
-
5
-
9
-
9

 

 

T
=
2
-
3
THE
33
15
6
P
=
7
-
5
POWER
77
32
5
A
=
1
-
3
AND
19
10
1
T
=
2
-
3
THE
33
15
6
G
=
7
-
5
GLORY
77
32
5
-
=
19
-
19
First Total
239
104
23
-
-
1+9
-
1+9
Add to Reduce
2+3+9
1+0+4
1+9
-
-
10
-
10
Second Total
14
10
10
-
-
1+0
-
1+0
Reduce to Deduce
1+4
1+0
1+0
-
-
1
-
1
Essence of Number
5
1
1

 

 

-
19
T
H
E
-
P
O
W
E
R
-
A
N
D
-
T
H
E
-
G
L
O
R
Y
-
-
-
-
-
-
-
-
-
-
50
-
-
8
-
-
-
6
-
-
-
-
-
5
-
-
-
8
-
-
-
-
6
-
-
+
=
33
3+3
=
6
=
6
=
6
122
-
-
8
-
-
-
15
-
-
-
-
-
14
-
-
-
8
-
-
-
-
15
-
-
+
=
60
6+0
=
6
=
6
=
6
-
19
T
H
E
-
P
O
W
E
R
-
A
N
D
-
T
H
E
-
G
L
O
R
Y
-
-
-
-
-
-
-
-
-
-
41
-
2
-
5
-
7
-
5
5
9
-
1
-
4
-
2
-
5
-
7
3
-
9
7
+
=
71
7+1
=
8
=
8
=
8
140
-
20
-
5
-
16
-
23
5
18
-
1
-
4
-
20
-
5
-
7
12
-
18
25
+
=
179
1+7+9
=
17
1+7
8
=
8
-
19
T
H
E
-
P
O
W
E
R
-
A
N
D
-
T
H
E
-
G
L
O
R
Y
-
-
-
-
-
-
-
-
-
-
262
-
20
8
5
-
16
15
23
5
18
-
1
14
4
-
20
8
5
-
7
12
15
18
25
+
=
239
2+3+9
=
14
1+4
5
=
5
91
-
2
8
5
-
7
6
5
5
9
-
1
5
4
-
2
8
5
-
7
3
6
9
7
+
=
104
1+0+4
=
5
=
5
=
5
-
19
T
H
E
-
P
O
W
E
R
-
A
N
D
-
T
H
E
-
G
L
O
R
Y
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
5
-
-
-
5
5
-
-
-
5
-
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
5
=
25
2+5
7
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
7
-
-
7
occurs
x
3
=
21
2+1
3
8
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
45
19
T
H
E
-
P
O
W
E
R
-
A
N
D
-
T
H
E
-
G
L
O
R
Y
-
-
45
-
-
19
-
104
-
41
4+5
1+9
-
-
5
-
-
-
5
5
-
-
-
5
-
-
-
-
5
-
-
-
-
-
-
-
-
4+5
-
-
1+9
-
1+0+4
-
4+1
9
10
T
H
E
-
P
O
W
E
R
-
A
N
D
-
T
H
E
-
G
L
O
R
Y
-
-
9
-
-
10
-
5
-
5
-
1+0
2
8
5
-
7
6
5
5
9
-
1
5
4
-
2
8
5
-
7
3
6
9
7
-
-
-
-
-
1+0
-
-
-
-
9
1
T
H
E
-
P
O
W
E
R
-
A
N
D
-
T
H
E
-
G
L
O
R
Y
-
-
9
-
-
1
-
5
-
5

 

 

T
=
2
-
3
THE
33
15
6
S
=
1
-
6
SERMON
84
30
3
O
=
6
-
2
ON
29
11
2
T
=
2
-
3
THE
33
15
6
M
=
4
-
5
MOUNT
83
20
2
-
=
15
-
19
First Total
262
91
19
-
-
1+5
-
1+9
Add to Reduce
2+6+2
9+1
1+9
-
-
6
-
10
Second Total
10
10
10
-
-
-
-
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
6
-
1
Essence of Number
1
1
1

 

 

-
19
T
H
E
-
S
E
R
M
O
N
-
O
N
-
T
H
E
-
M
O
U
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
1
-
-
-
6
5
-
6
5
-
-
8
-
-
-
6
-
5
-
+
=
50
5+0
=
5
=
5
=
5
-
-
-
8
-
-
19
-
-
-
15
14
-
15
14
-
-
8
-
-
-
15
-
14
-
+
=
122
6+4
=
5
=
5
=
5
-
19
T
H
E
-
S
E
R
M
O
N
-
O
N
-
T
H
E
-
M
O
U
N
T
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
-
5
9
4
-
-
-
-
-
-
2
-
5
-
4
-
3
-
2
+
=
41
4+1
=
5
=
5
=
5
-
-
20
-
5
-
-
5
18
13
-
-
-
-
-
-
20
-
5
-
13
-
21
-
20
+
=
140
1+4+0
=
5
=
5
=
5
-
19
T
H
E
-
S
E
R
M
O
N
-
O
N
-
T
H
E
-
M
O
U
N
T
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
19
5
18
13
15
14
-
15
14
-
20
8
5
-
13
15
21
14
20
+
=
262
2+6+2
=
10
1+0
1
=
1
-
-
2
8
5
-
1
5
9
4
6
5
-
6
5
-
2
8
5
-
4
6
3
5
2
+
=
91
9+1
=
10
1+0
1
=
1
-
19
T
H
E
-
S
E
R
M
O
N
-
O
N
-
T
H
E
-
M
O
U
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
-
5
-
-
-
5
-
-
5
-
-
-
5
-
-
-
-
5
-
-
-
5
occurs
x
6
=
30
3+0
3
-
-
-
-
-
-
-
-
-
-
6
-
-
6
-
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
19
T
H
E
-
S
E
R
M
O
N
-
O
N
-
T
H
E
-
M
O
U
N
T
-
-
38
-
-
19
-
91
-
46
-
1+9
-
-
5
-
-
5
-
-
-
5
-
-
5
-
-
-
5
-
-
-
-
5
-
-
-
3+8
-
-
1+9
-
9+1
-
4+6
7
10
T
H
E
-
S
E
R
M
O
N
-
O
N
-
T
H
E
-
M
O
U
N
T
-
-
11
-
-
10
-
10
-
10
-
1+0
2
8
5
-
1
5
9
4
6
5
-
6
5
-
2
8
5
-
4
6
3
5
2
-
-
1+1
-
-
1+0
-
1+0
-
1+0
7
1
T
H
E
-
S
E
R
M
O
N
-
O
N
-
T
H
E
-
M
O
U
N
T
-
-
2
-
-
1
-
1
-
1

 

 

FINGERPRINTS OF THE GODS

A QUEST FOR THE BEGINNING AND THE END

Graham Hancock 1995

Chapter 32

Speaking to the Unborn

Page 285

"It is understandable that a huge range of myths from all over the ancient world should describe geological catastrophes in graphic detail. Mankind survived the horror of the last Ice Age, and the most plausible source for our enduring traditions of flooding and freezing, massive volcanism and devastating earthquakes is in the tumultuous upheavals unleashed during the great meltdown of 15,000 to 8000 BC. The final retreat of the ice sheets, and the consequent 300-400 foot rise in global sea levels, took place only a few thousand years before the beginning of the historical period. It is therefore not surprising that all our early civilizations should have retained vivid memories of the vast cataclysms that had terrified their forefathers.
Much harder to explain is the peculiar but distinctive way the myths of cataclysm seem to bear the intelligent imprint of a guiding hand.l Indeed the degree of convergence between such ancient stories is frequently remarkable enough to raise the suspicion that they must all have been 'written' by the same 'author'.
Could that author have had anything to do with the wondrous deity, or superhuman, spoken of in so many of the myths we have reviewed, who appears immediately after the world has been shattered by a horrifying geological catastrophe and brings comfort and the gifts of civilization to the shocked and demoralized survivors?
White and bearded, Osiris is the Egyptian manifestation of this / Page 286 / universal figure, and it may not be an accident that one of the first acts he is remembered for in myth is the abolition of cannibalism among the primitive inhabitants of the Nile Valley.2 Viracocha, in South America, was said to have begun his civilizing mission immediately after a great flood; Quetzalcoatl, the discoverer of maize, brought the benefits of crops, mathematics, astronomy and a refined culture to Mexico after the Fourth Sun had been overwhelmed by a destroying deluge.
Could these strange myths contain a record of encounters between scattered palaeolithic tribes which survived the last Ice Age and an as yet unidentified high civilization which passed through the same epoch?
And could the myths be attempts to communicate?

A message in the bottle of time"

'Of all the other stupendous inventions,' Galileo once remarked,

what sublimity of mind must have been his who conceived how to communicate his most secret thoughts to any other person, though very distant either in time or place, speaking with those who are in the Indies, speaking to those who are not yet born, nor shall be this thousand or ten thousand years? And with no greater difficulty than the various arrangements of two dozen little signs on paper? Let this be the seal of all the admirable inventions of men.3

If the 'precessional message' identified by scholars like Santillana, von Dechend and Jane Sellers is indeed a deliberate attempt at communication by some lost civilization of antiquity, how come it wasn't just written down and left for us to find? Wouldn't that have been easier than encoding it in myths? Perhaps.
Nevertheless, suppose that whatever the message was written on got destroyed or worn away after many thousands of years? Or suppose that the language in which it was inscribed was later forgotten utterly (like the enigmatic Indus Valley script, which has been studied closely for more than half a century but has so far resisted all attempts at decoding)? It must be obvious that in such circumstances a written / Page 287 / legacy to the future would be of no value at all, because nobody would be able to make sense of it.
What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them - and the city of Teotihuacan may be the calling-card of a lost civilization written in the eternal language of mathematics.
Geodetic data, related to the exact positioning of fixed geographical points and to the shape and size of the earth, would also remain valid and recognizable for tens of thousands of years, and might be most conveniently expressed by means of cartography (or in the construction of giant geodetic monuments like the Great Pyramid of Egypt, as we shall see).
Another 'constant' in our solar system is the language of time: the great but regular intervals of time calibrated by the inch-worm creep of precessional motion. Now, or ten thousand years in the future, a message that prints out numbers like 72 or 2160 or 4320 or 25,920 should be instantly intelligible to any civilization that has evolved a modest talent for mathematics and the ability to detect and measure the almost imperceptible reverse wobble that the sun appears to make along the ecliptic against the background of the fixed stars..."

"What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them"

 

"WRITTEN IN THE ETERNAL LANGUAGE OF MATHEMATICS"

 

 

The

FULCANELLI

Phenomenon

Kenneth Rayner Johnson 1980

The Praxis

Page 190

Theoretical physics has become more and more occult, cheerfully breaking every previously sacrosanct law of nature and leaning towards such supernatural concepts as holes in space, negative mass and time flowing backwards ... The greatest physicists ... have been groping towards a synthesis of physics and parapsychology.

- Arthur Koestler: The Roots of Coincidence, (Hutchinson, 1972.)

 

 

QUO VADIS

 

Quo vadis - Wikipedia, the free encyclopedia Quo vadis? is a Latin phrase meaning "Where are you going?" or "Whither goest thou?". The modern usage of the phrase refers to a legend in Christian ... en.wikipedia.org/wiki/Quo_vadis

Quo vadis? is a Latin phrase meaning "Where are you going?" or "Whither goest thou?". The modern usage of the phrase refers to a legend in Christian tradition, related in the apocryphal Acts of Peter (Vercelli Acts XXXV), in which Saint Peter meets Jesus as Peter is fleeing from likely crucifixion in Rome. Peter asks Jesus the question; Jesus' answer, "I am going to Rome to be crucified again" (Eo Romam iterum crucifigi), prompts Peter to gain the courage to continue his ministry and eventually become a martyr.

The phrase also occurs a few times in the Vulgate translation of the Bible, notably including the occurrence in John 13:36 in which Peter also asks the question of Jesus, after the latter announces he is going to where his followers cannot come.

 

 

7
WHITHER
91
46
1
5
GOEST
66
21
3
4
THOU
64
19
1
16
-
221
86
5
1+6
-
2+2+1
8+6
-
7
-
5
14
5
-
-
-
1+4
-
7
-
5
5
5

 

 

Quo Vadis. I fled by night and in the grey of dawn met on the lonely way a man I knew but could not name. He said “Good morning”, I the same ...
rtnl.org.uk/now_and_then/html/242.html

 

Quo Vadis
I fled by night and in the grey
of dawn met on the lonely way
a man I knew but could not name.
He said “Good morning”, I the same
and asked if he was going far.
He said “As far as Golgotha.”
And then I knew and the cock crew.

 

Quo vadis is a Latin phrase meaning "Where are you going?" It is used as a proverbial phrase from the Bible (John 13:36, 16:5). ... en.wikipedia.org/wiki/Quo_Vadis -

 

 

HOLY BIBLE

Scofield References

C 1 V 16

THE ACTS OF THE APOSTLES

Page 1148 (Part quoted)

"MEN AND BRETHREN THIS SCRIPTURE MUST NEEDS HAVE BEEN FULFILLED

WHICH THE HOLY GHOST BY THE MOUTH OF DAVID SPAKE"

 

 

3
THE
33
15
6
4
STAR
58
13
4
2
OF
21
12
3
5
DAVID
40
22
4
14
Add to Reduce
152
62
17
1+4
Reduce to Deduce
1+5+2
6+2
1+7
5
Essence of Number
8
8
8

 

 

1
I
9
9
9
4
THAT
49
13
4
2
AM
14
5
5
11
TERRESTRIAL
145
55
1
16
EXTRATERRESTRIAL
213
78
6
3
AND
19
10
1
9
CELESTIAL
86
32
5
2
AM
14
5
5
1
I
9
9
9
49
First Total
558
216
45
4+9
Add to Reduce
5+5+8
2+1+6
4+5
13
Second Total
18
9
9
1+3
Reduce to Deduce
1+8
-
-
4
Essence of Number
9
9
9

 

 

CHEIRO'S BOOK OF NUMBERS

Circa 1926

Page106
"Shakespeare, that Prince of Philosophers, whose thoughts will adorn English literature for all time, laid down the well-known axiom: There is a tide in the affairs of men which if taken at the flood, leads on to fortune." The question has been asked again and again, Is there some means of knowing when the moment has come to take the tide at the flood?
My answer to this question is that the Great Architect of the Universe in His Infinite Wisdom so created all things in such harmony of design that He endowed the human mind with some part of that omnipotent knowledge which is the attribute of the Divine Mind as the Creator of all.

The question has been asked again and again, Is there some means of knowing when the moment has come to take the tide at the flood?

 

 THE

QUESTION

HAS BEEN ASKED AGAIN AND AGAIN

IS THERE SOME MEANS OF KNOWING WHEN THE MOMENT HAS COME TO TAKE

THE TIDE AT THE

FLOOD

 

 

KEEPER OF GENESIS

A QUEST FOR THE HIDDEN LEGACY OF MANKIND

Robert Bauval Graham Hancock 1996

Page 254

"...Is there in any sense an interstellar Rosetta Stone?

We believe there is a common language that all technical civilizations, no matter how different, must have.

That common language is science and mathematics.

The laws of Nature are the same everywhere:..."

 

 

THE USBORNE BOOK OF

FACTS AND LISTS

Lynn Bressler (no date)

Page 82

10 most spoken languages
Chinese 700,000,000 English 400,000,000 Russian 265,000,000 Spanish 240,000,000 Hindustani 230,000,000 Arabic 146,000,000 Portuguese 145,000,000 Bengali 144,000,000 German 119,000,000 Japanese 116,000,000

The first alphabet
The Phoenicians, who once lived where Syria, Jordan and Lebanon are today, had an alphabet of 29 letters as early as 1,700 BC. It was adopted by the Greeks and the Romans. Through the Romans, who went on to conquer most of Europe, it became the alphabet of Western countries.

Sounds strange
One tribe of Mexican Indians hold entire conversations just by whistling. The different pitches provide meaning.

The Rosetta Stone
 The Rosetta Stone was found by Napoleon in the sands of Egypt. It dates to about 196 BC.
On it is an inscription in hieroglyphics and a translation in Greek. , Because scholars knew ancient Greek, they could work out what the Egyptian hieroglyphics meant. From this they learned the language of the ancient Egyptians.

Did You Know Many Chinese cannot understand each other. They have different ways of speaking (called dialects) in different
parts of the country. But today in schools allover China, the children are being taught one dialect (Mandarin), so that one day all Chinese will understand each other.

Translating computers
Computers can be used to help people of different nationalities, who do not know each others' language, talk to each other. By giving a computer a message in one language it will translate it into another specified language.

Worldwide language
English is spoken either as a first or second language in at least 45 countries. This is more than any other language. It is the language of international business and scientific conferences and is used by airtraffic controllers worldwide. In all, about one third of the world speaks it.

Page 83

Earliest writing Chinese writing has been found on pottery, and even on a tortoise shell, going back 6,000 years. Pictures made the basis for their writing, each picture showing an object or idea. Probably the earliest form of writing came from the Middle East, where Iraq and Iran are now. This region was then ruled by the Sumerians.

The most words

English has more words in it than any other language. There are about1 million in all, a third of which are technical terms. Most
people only use about 1 per cent of the words available, that is, about 10,000. William Shakespeare is reputed to have made most use of the English vocabulary.

A scientific word describing a process in the human cell is 207,000 letters long. This makes this single word equal in length to a short novel or about 80 typed sheets of A4 paper.

Many tongues
A Frenchman, named Georges Henri Schmidt, is fluent (meaning he reads and writes well) in 31 different languages.

International language
Esperanto was invented in the 1880s by a Pole, Dr Zamenhof. It was hoped that it would become the international language of Europe. It took words from many European countries and has a very easy grammar that can be learned in an hour or two.
The same language

The languages of India and Europe may originally come from just one source. Many words in different languages sound similar. For example, the word for King in Latin is Rex, in Indian, Raj, in Italian Re, in French Roi and in Spanish Rey. The original language has been named Indo-European. Basque, spoken in the French and Spanish Pyrenees, is an exception. It seems to have a different source which is still unknown.

Number of alphabets
There are 65 alphabets in use in the world today. Here are some of them: Roman
ABCDEFGHUKLMNOPQRS Greek  Russian (Cyrillic) Hebrew  Chinese (examples omitted)

 

 

DAVIDS MOTHER NORAH

ALWAYS

USED TO SAY A BIT OF HELP IS WORTH A LOT OF PITY

DAVID THATS WHAT NORAH

USED TO SAY

SHE AND HER

HUSBAND

ERNEST

R

BURIED IN GRAVE NUMBER

99

IN

A

WAKEFIELD

CEMETERY THAT ONE ON SUGAR LANE ON SUGAR LANE THAT CEMETERY

AND IF U BELIEVE THAT YOU WILL BELIEVE ANYTHING AND U WOULD B RIGHT

THE LIGHT IS RISING NOW RISING IS THE LIGHT

GOODNIGHT AND GODBLESS FATHER MOTHER MOTHER FATHER GODBLESS AND GOODNIGHT

 

 

THE MAGIC MOUNTAIN

Thomas Mann 1875-1955

Page 466

"Had not the normal, since time was, lived on the achievements of the abnormal? Men consciously and voluntarily descended into disease and madness, in search of knowledge which, acquired by fanaticism, would lead back to health; after the possession and use of it had ceased to be conditioned by that heroic and abnormal act of sacrifice. That was the true death on the cross, the true Atonement.

 

 

WAY OF THE PEACEFUL WARRIOR

A

BOOK THAT CHANGES LIVES

Dan Millman 1980

Page 44

"...do you recall that I told you we must work on changing your mind before you can see the warrior's way? / Page 45 /

"Yes, but I really don't think. . ."
"Don't be afraid," he repeated. "Comfort yourself with a say­ing of Confucius," he smiled. " 'Only the supremely wise and the ignorant do not alter.' " Saying that, he reached out and placed his hands gently but firmly on my temples.
Nothing happened for a moment-then suddenly, I felt a growing pressure in the middle of my head. There was a loud buzzing, then a sound like waves rushing up on the beach. I heard bells ringing, and my head felt as if it was going to burst. That's when I saw the light, and my mind exploded with its brightness. Something in me was dying-I knew this for a certainty-and something else was being born! Then the light engulfed everything."

 

 

THE WASTE LAND

and other poems 

T. S. Elliot 1940

Page 13

The Love Song of J. Alfred Prufrock

"I AM LAZARUS, COME FROM THE DEAD, COME BACK TO TELL YOU ALL I SHALL TELL YOU ALL"

 

 

THE LURE AND ROMANCE OF ALCHEMY.

A history of the secret link between magic and science

1990
C. J. S.Thompson

Page# 31 / 32

note 1 Julius Ruska ,Tabula Smaragdini 1926

"THE EMERALD TABLE OF HERMES: "

"True it is, without falsehood certain most true.That which is
above is like to that which is below, and that which is below is like
to that which is above, to accomplish the miracles of one thing.
And as in all things whereby contemplation of one, so in all things
arose from this one thing by a single act of adoption.
The father thereof is the Sun the mother the Moon.
The wind carried it in its womb,the earth is the source thereof.
It is the father of all works throughout the world.
The power thereof is perfect.
If it be cast on to earth, it will separate the element of earth
from that of fire, the subtle from the gross.
With great sagacity it doth ascend gently from earth to heaven.
Again it doth descend to earth and uniteth in itself from
things superior and things inferior.
Thus thou wilt possess the brightness of the world, and all
obscurity will fly far from thee.
This thing is the strong fortitude of all strength, for it over-
cometh every subtle thing and doth penetrate every solid substance.
Thus was this world created.
Hence will there be marvellous adaptations achieved of which
the manner is this.
For this reason I am called Hermes Trismegistus because I hold
three parts of the wisdom of the whole world.
That which I had to say about the operation of Sol is completed."

 

 

Freiheit - Keeping The Dream Alive lyrics. From the Original Motion Picture ... In my fantasy I remember their faces The hopes we had were much too high ... www.lyricsmode.com/lyrics/f/freiheit/keeping_the_dream_alive.html


Tonight the rain is falling
Full of memories of people and places
And while the past is calling
In my fantasy I remember their faces

The hopes we had were much too high
Way out of reach but we have to try
The game will never be over
Because we're keeping the dream alive

I hear myself recalling
Things you said to me
The night it all started
And still the rain is falling
Makes me feel the way
I felt when we parted

The hopes we had were much too high
Way out of reach but we have to try
No need to hide no need to run
'Cause all the answers come one by one
The game will never be over
Because we're keeping the dream alive

I need you
I love you

The game will never be over
Because we're keeping the dream alive

The hopes we had were much too high
Way out of reach but we have to try
No need to hide no need to run
'Cause all the answers come one by one

The hopes we had were much too high
Way out of reach but we have to try
No need to hide no need to run
'Cause all the answers come one by one

The game will never be over
Because we're keeping the dream alive

The game will never be over
Because we're keeping the dream alive

The game will never be over

Mmm mmm mmm mmm mmm mmm mmm mmm mmm.

 

 

 

I

SAY

IS THIS THE OTHER SIDE OF THE GREAT DIVIDE

?

NO ITS OVER THERE

I

HAVE JUST BEEN OVER THERE AND THEY SAID ITS OVER HERE

 

 

Did Spacemen Colonise the Earth?

Robin Collyns 1974

Page 206

"FINIS"

 

 

THE MAGIC MOUNTAIN

Thomas Mann 1924

THE THUNDERBOLT

Page 715

"There is our friend, there is Hans Castorp! We recognize him at a distance, by the little beard he assumed 'while sitting at the " bad" Russian table. Like all the others, he is wet through and glowing. He is running, his feet heavy with mould, the bayonet swinging in his, hand. Look! He treads on the hand of a fallen comrade; with his hobnailed boot he treads the hand deep into the slimy, branch-strewn ground. But it is he. What, singing? As one sings, unaware, staring stark ahead, yes, thus. he spends his hurrying breath, to sing half soundlessly:

"And loving words I've carven
Upon its branches fair-"

He stumbles, No, he has flung himself down, a hell-hound is coming howling, a huge explosive shell, a disgusting sugar-loaf from the infernal regions. He lies with his face in the cool mire, legs. sprawled out, feet twisted, heels turned down. The product of a perverted science, laden with death, slopes earthward thirty paces in front of him and buries its nose in the ground; explodes inside there, with hideous expense of power, and raises up a fountain high as a house, of mud, fire, iron, molten metal, scattered fragments of humanity. Where it fell, two youths had lain, friends who in their need flung themselves down together - now they are scattered, commingled and gone.
Shame of our shadow-safety! Away! No more!-But our friend? Was he hit? He thought so, for the moment. A great clod of earth struck him on the shin, it hurt, but he smiles at it. Up he gets, and staggers on, limping on his earth-bound feet, all unconsciously singing:

"Its waving branches whiispered
A message in my ear -"

and thus, in the tumult, in the rain, in the dusk, vanishes out of our sight.
Farewell, honest Hans Castorp, farewell, Life's delicate child!
Your tale is told. We have told it to the end, and it was neither short nor long, but hermetic. We have told it for its own sake, not for yours, for you were simple. But after all, it was your story, it befell you, you must have more in you than we thought; we will not disclaim the pedagogic weakness we conceived for / Page 716 / you in the telling; which could even lead us to press a finger delicately to our eyes at the thought that we shall see you no more, hear you no more for ever.
Farewell - and if thou livest or diest! Thy prospects are poor. The desperate dance, in which thy fortunes are caught up, will last yet many a sinful year; we should not care to set a high stake on thy life by the time it ends. We even confess that it is without great concern we leave the question open. Adventures of the flesh and in the spirit, while enhancing thy simplicity, granted thee to know in the spirit what in the flesh thou scarcely couldst have done. Moments there were, when out of death, and the rebellion of the flesh, there came to thee, as thou tookest stock of thyself, a dream of love. Out of this universal feast of death, out of this extremity of fever, kindling. the rain-washed evening sky to a fiery glow, may it be that Love one day shall mount?

FINIS OPERIS

 
 
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