"As all the words in the English language are composed out of the twenty-six letters of the alphabet,.."
LIGHT AND LIFE
Lars Olof Bjorn 1976
Page 197
"By writing the 26 letters of the alphabet in a certain order one may put down almost any message (this book 'is written with the same letters' as the Encyclopaedia Britannica and Winnie the Pooh, only the order of the letters differs). In the same way Nature is able to convey with her language how a cell and a whole organism is to be constructed and how it is to function. Nature has succeeded better than we humans; for the genetic code there is only one universal language which is the same in a man, a bean plant and a bacterium."
"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER
ONE MAY PUT DOWN ALMOST ANY MESSAGE"
A
B
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ME
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ME
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I
ME
I
ME
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ME
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1
"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER
ONE MAY PUT DOWN ALMOST ANY MESSAGE"
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2+4
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A
HISTORY OF GOD
Karen Armstrong
The God of the Mystics
Page 250
"(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."
A
B
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1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
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2
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6
7
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9
=
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S
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I
19
20
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24
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9
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
ME
1
2
3
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5
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=
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1+8
=
1+8
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1+8
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I
ME
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ME
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ME
I
ME
I
ME
1
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
ASTHOUGH 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
A
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1+0
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1+3
1+4
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2+0
2+1
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2+4
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2+6
1
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5
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8
9
1
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8
9
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8
A
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8
9
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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.2Viracocha, 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 25,920should 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 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 polardarkness, 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 ofoneness with the universe. Theconviction came that therhythm was too orderly. too harmonious, too perfect to be a product of blind chance - that, therefore there inust 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 Cronusgod 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 Sattun'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 honouured 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 existted 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 ofthe 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 alwaysdelightedbudding mathematician.
Page 206
Somewhere along the way, according to Robert Graves, 9became 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 ownerpower 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 reflets, 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 kn to the ancient world, that is, Saturn, Jupiter, Mars, Venus Mercury.
Graves suggests a religious mystery bound up with two an cient 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 n umbers he points out that the aggregate number of letter strokes for the complete 22-letter Ogham alphabet that he is studying isf 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. maxium eastern elongation 'to inferior conjunction and mazimum 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
e beliefs, and that the only original element in Christi- 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 432digits.
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 numbercoincidences, 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'sromance with numbercoincidences.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 proveit by feeding -all the available scientificinformation. 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 cirle 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.
COMPREHENSIBLE
OSIRIS SO IRIS IS
ASTROLOGY A STARRY LOGO
IS
O
NAMUH
HOLYHOLY HOLY
ART THOU THOU ART
THAT
HURRAH FOR RAH FOR RAH HURRAH
THE LIGHT IS RISING RISING IS THE LIGHT
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 forrelationships andsequences. We look for hidden orders.
These intuitions seem to be more important than the facts themselves, for thereis always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imaginelooking 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 relationshipbetween numbers, pictures of the mind, that were not obvious before. Thereis that excitement of finding order in something that was otherwise hidden.
And there is the knowledge that a huge unseen worldlurks behind the facades we see of the numbers themselves."
-
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
THE LIGHT IS RISING RISING IS THE LIGHT
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
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U
V
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X
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-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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 814 ADVENT
AMERICA
AMERICA
THE UNITED STATES OF AMERICA
THE, WASHINGTON, MONUMENT
INDEPENDENCE DAY
THE, WHITE, HOUSE
THE, SENATE
MARTIN LUTHER KING
CIVIL RIGHTS
I HAVE A DREAM TODAY
EQUAL RIGHTS
KU, KLUX, KLAN
ANIMAL, RIGHTS
THE LAST SUPPER
PROBLEM
FIRMAMENT
TWENTY, FOUR
SIXTY, FOUR
SIX, FOUR
LOVING, PEACE, AND, GOOD, WILL, UNTO, ALL,
SENTIENT, BEINGS
MIRRORED
IMAGERS
MAKE BELIEVE
IMAGINATIVE
IMAGINATION
IMAGINE
IMAGINES
GREETINGS, PLANET, EARTH
CITIZENS
GREETINGS, WORLD
FRATERNAL, GREETINGS
WORLD
PHANOS
ZEP TEPI
I THATAMALWAYS
7
AMERICAN
-
-
-
-
A
1
1
1
-
M+E
18
9
9
-
R
18
9
9
-
I
9
9
9
-
C+A+N
18
9
9
7
AMERICAN
64
37
37
-
-
6+4
3+2
3+2
7
AMERICAN
10
10
10
-
-
1+0
1+0
1+0
7
AMERICAN
1
1
1
7
AMERICA
-
-
-
-
A
1
1
1
-
M+E
18
9
9
-
R
18
9
9
-
I
9
9
9
-
C+A
4
4
4
7
AMERICA
50
32
32
-
-
5+0
3+2
3+2
7
AMERICA
5
5
5
-
7
A
M
E
R
I
C
A
-
-
-
-
-
--
-
-
-
-
1
1
-
-
-
-
9
-
-
+
=
9
-
=
9
-
9
-
9
1
1
-
-
-
-
9
-
-
+
=
9
-
=
9
-
9
-
9
-
7
A
M
E
R
I
C
A
-
-
-
-
-
--
-
-
-
-
-
-
1
4
5
9
-
3
1
+
=
23
2+3
=
5
-
5
-
5
1
1
1
13
5
18
-
3
1
+
=
41
4+1
=
5
-
5
-
5
-
7
A
M
E
R
I
C
A
-
-
-
-
-
--
-
-
-
-
1
1
1
13
5
18
9
3
1
+
=
50
5+0
=
5
-
5
-
5
-
-
1
4
5
9
9
3
1
+
=
32
3+2
=
5
-
5
-
5
-
7
A
M
E
R
I
C
A
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
2
TWO
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
--
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-`-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
-
-
-
-
-
-
-
-
-
-
-
9
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
23
7
A
M
E
R
I
C
A
-
-
22
-
-
7
-
32
-
23
2+3
-
-
-
-
9
9
-
-
-
-
2+2
-
-
-
Q
3+2
-
2+3
5
7
A
M
E
R
I
C
A
-
-
4
-
-
7
-
5
-
5
-
-
1
4
5
9
9
3
1
-
-
-
-
-
-
-
-
-
-
5
7
A
M
E
R
I
C
A
-
-
4
-
-
7
-
5
-
5
A
M
E
R
I
C
A
-
-
-
-
-
--
-
-
-
-
1
-
-
-
-
9
-
-
+
=
9
-
=
9
-
9
-
9
1
-
-
-
-
9
-
-
+
=
9
-
=
9
-
9
-
9
7
A
M
E
R
I
C
A
-
-
-
-
-
--
-
-
-
-
-
1
4
5
9
-
3
1
+
=
23
2+3
=
5
-
5
-
5
1
1
13
5
18
-
3
1
+
=
41
4+1
=
5
-
5
-
5
7
A
M
E
R
I
C
A
-
-
-
-
-
--
-
-
-
-
1
1
13
5
18
9
3
1
+
=
50
5+0
=
5
-
5
-
5
-
1
4
5
9
9
3
1
+
=
32
3+2
=
5
-
5
-
5
7
A
M
E
R
I
C
A
-T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-`-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
9
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
A
M
E
R
I
C
A
-
-
22
-
-
7
-
32
-
23
-
-
-
-
9
9
-
-
-
-
2+2
-
-
-
Q
3+2
-
2+3
7
A
M
E
R
I
C
A
-
-
4
-
-
7
-
5
-
5
-
1
4
5
9
9
3
1
-
-
-
-
-
-
-
-
-
-
7
A
M
E
R
I
C
A
-
-
4
-
-
7
-
5
-
5
-
24
T
H
E
-
U
N
I
T
E
D
-
S
T
A
T
E
S
-
O
F
-
A
M
E
R
I
C
A
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
5
9
-
-
-
-
1
-
-
-
-
1
-
6
-
-
-
-
-
-
9
-
-
+
=
48
4+8
=
12
1+2
3
=
3
-
-
-
8
-
-
-
14
9
-
-
-
-
19
-
-
-
-
19
-
15
-
-
-
-
-
-
9
-
-
+
=
102
1+0+2
=
3
=
3
=
3
-
24
T
H
E
-
U
N
I
T
E
D
-
S
T
A
T
E
S
-
O
F
-
A
M
E
R
I
C
A
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
2
5
4
-
-
2
1
2
5
-
-
-
6
-
1
13
5
18
9
3
1
+
=
24
2+4
=
6
=
6
=
6
-
-
20
-
5
-
21
-
-
20
5
4
-
-
20
1
20
5
-
-
-
6
-
1
4
5
9
9
3
1
+
=
96
9+6
=
15
1+5
6
=
6
-
24
T
H
E
-
U
N
I
T
E
D
-
S
T
A
T
E
S
-
O
F
-
A
M
E
R
I
C
A
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
21
14
9
20
5
4
-
19
20
1
20
5
19
-
15
6
-
1
13
5
18
9
3
1
+
=
261
2+6+1
=
9
=
9
=
9
-
-
2
8
5
-
3
5
9
2
5
4
-
1
2
1
2
5
1
-
6
6
-
1
4
5
9
9
3
1
+
=
99
9+9
=
18
=
9
=
9
-
24
T
H
E
-
U
N
I
T
E
D
-
S
T
A
T
E
S
-
O
F
-
A
M
E
R
I
C
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
1
-
-
-
-
1
-
-
-
-
-
1
-
-
1
occurs
x
5
=
5
=
5
-
-
2
-
-
-
-
-
-
2
-
-
-
-`-
2
-
2
-
-`-
-
-
-
-
-`-
-
-
-
-
-
-
-
-
2
occurs
x
4
=
8
=
8
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
5
=
25
2+5
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
7
24
T
H
E
-
U
N
I
T
E
D
-
S
T
A
T
E
S
-
O
F
-
A
M
E
R
I
C
A
-
-
38
-``
-
24
-
99
-
54
-
2+4
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
9
-
-
-
-
3+8
-
-
2+4
-
9+9
-
5+4
7
6
T
H
E
-
U
N
I
T
E
D
-
S
T
A
T
E
S
-
O
F
-
A
M
E
R
I
C
A
-
-
11
-``
-
6
-
18
-
9
-
-
2
8
5
-
3
5
9
2
5
4
-
1
2
1
2
5
1
-
6
6
-
1
4
5
9
9
3
1
-
-
1+1
-
-
-
-
1+8
-
-
7
6
T
H
E
-
U
N
I
T
E
D
-
S
T
A
T
E
S
-
O
F
-
A
M
E
R
I
C
A
-
-
2
-``
-
6
-
9
-
9
A
=
1
-
8
AMERICAN
64
37
1
I
=
9
-
12
INDEPENDENCE
98
62
8
D
=
4
-
3
DAY
30
12
3
F
=
6
-
6
FOURTH
88
34
7
O
=
6
-
2
OF
21
12
3
J
=
1
-
4
JULY
68
14
5
-
-
27
-
35
First Total
369
171
27
-
=
2+7
-
3+5
Add to Reduce
3+6+9
1+7+1
2+7
-
-
9
-
6
Second Total
18
9
9
-
=
-
-
-
Reduce to Deduce
1+8
-
-
-
-
9
-
6
Essence of Number
9
9
9
-
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
+
=
24
2+4
=
6
-
6
-
6
-
-
9
14
-
-
-
-
14
-
-
14
-
-
-
-
-
-
+
=
51
5+1
=
6
-
6
-
6
-
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
--
-
-
-
-
-
-
-
-
4
5
7
5
-
4
5
-
3
5
-
4
1
7
+
=
50
5+0
=
5
-
5
-
5
-
-`
-
-
4
5
16
5
-
4
5
-
3
5
-
4
1
25
+
=
77
4+7
=
11
1+1
5
-
5
-
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
--
-
-
-
-
-
-
9
14
4
5
16
5
14
4
5
14
3
5
-
4
1
25
+
=
128
1+2+8
=
11
1+1
2
-
2
-
-
9
5
4
5
7
5
5
4
5
5
3
5
-
4
1
7
+
=
74
7+4
=
11
1+1
2
-
2
-
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
=
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
4
-
-
-
-
4
-
-
-
-
-
4
-
-
-
-
4
occurs
x
3
=
12
1+2
3
-
-
-
5
-
5
-
5
5
-
5
5
-
5
-
-
-
-
-
-
5
occurs
x
7
=
35
3+5
8
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
16
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
29
-
-
15
-
74
-
29
1+6
1+5
-
5
-
5
-
5
5
-
5
5
-
5
-
-
-
-
-
-
2+9
-
-
1+5
-
7+4
-
2+9
7
6
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
11
-
-
6
-
11
-
11
-
-
9
5
4
5
7
5
5
4
5
5
3
5
-
4
1
7
-
-
1+1
-
-
-
-
1+1
-
1+1
7
3
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
2
-
-
3
-
2
-
2
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
+
=
24
2+4
=
6
-
6
-
6
-
9
14
-
-
-
-
14
-
-
14
-
-
-
-
-
-
+
=
51
5+1
=
6
-
6
-
6
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
--
-
-
-
-
-
-
-
4
5
7
5
-
4
5
-
3
5
-
4
1
7
+
=
50
5+0
=
5
-
5
-
5
-`
-
-
4
5
16
5
-
4
5
-
3
5
-
4
1
25
+
=
77
4+7
=
11
1+1
5
-
5
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
--
-
-
-
-
-
9
14
4
5
16
5
14
4
5
14
3
5
-
4
1
25
+
=
128
1+2+8
=
11
1+1
2
-
2
-
9
5
4
5
7
5
5
4
5
5
3
5
-
4
1
7
+
=
74
7+4
=
11
1+1
2
-
2
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
4
-
-
-
-
4
-
-
-
-
-
4
-
-
-
-
4
occurs
x
3
=
12
1+2
3
-
-
5
-
5
-
5
5
-
5
5
-
5
-
-
-
-
-
-
5
occurs
x
7
=
35
3+5
8
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
2
=
14
1+4
5
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
15
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
29
-
-
15
-
74
-
29
1+5
-
5
-
5
-
5
5
-
5
5
-
5
-
-
-
-
-
-
2+9
-
-
1+5
-
7+4
-
2+9
6
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
11
-
-
6
-
11
-
11
-
9
5
4
5
7
5
5
4
5
5
3
5
-
4
1
7
-
-
1+1
-
-
-
-
1+1
-
1+1
3
I
N
D
E
P
E
N
D
E
N
C
E
-
D
A
Y
-
-
2
-
-
3
-
2
-
2
3
THE
33
15
6
5
WHITE
65
29
2
5
HOUSE
68
23
5
13
First Total
166
67
13
1+3
Add to Reduce
1+6+6
6+7
1+3
4
Second Total
13
13
4
-
Reduce to Deduce
1+3
1+3
-
4
Essence of Number
4
4
4
3
THE
33
15
6
10
WASHINGTON
130
49
4
8
MONUMENT
115
34
7
21
First Total
278
98
17
2+1
Add to Reduce
2+7+8
9+8
1+7
3
Second Total
17
17
8
-
Reduce to Deduce
1+7
1+7
-
3
Essence of Number
8
8
8
3
THE
33
15
6
6
SENATE
64
19
1
9
First Total
97
34
7
-
Add to Reduce
9+7
3+4
-
9
Second Total
16
7
7
-
Reduce to Deduce
1+6
-
-
9
Essence of Number
7
7
7
M
=
4
6
MARTIN
75
30
3
L
=
3
6
LUTHER
84
30
3
K
=
2
4
KING
41
23
5
-
-
9
16
First Total
200
83
11
-
-
-
1+6
Add to Reduce
2+0+0
8+3
1+1
Q
-
9
7
Second Total
2
11
2
-
-
-
-
Reduce to Deduce
-
1+1
-
-
-
9
7
Essence of Number
2
2
2
5
CIVIL
655
28
1
6
RIGHTS
81
36
9
5
MARCH
43
25
7
1
I
9
9
9
4
HAVE
36
9
9
1
A
1
1
1
5
DREAM
41
23
5
5
TODAY
65
20
2
16
Add to Reduce
152
62
26
1+6
Reduce to Deduce
1+5+2
6+2
2+6
7
Essence of Number
9
9
9
5
EQUAL
56
20
2
6
RIGHTS
81
36
9
11
First Total
137
56
11
1+1
Add to Reduce
1+3+7
5+6
1+1
2
Second Total
11
11
2
-
Reduce to Deduce
1+1
1+1
-
2
Essence of Number
2
2
2
K
=
2
2
KU
32
5
5
K
=
2
4
KLUX
68
14
5
K
=
2
4
KLAN
38
11
2
-
-
6
10
First Total
138
30
12
-
-
-
1+0
Add to Reduce
1+3+8
3+0
1+2
Q
-
6
1
Second Total
12
3
3
-
-
-
-
Reduce to Deduce
1+2
-
-
-
-
6
1
Essence of Number
3
3
3
6
ANIMAL
50
23
5
6
RIGHTS
81
36
9
12
First Total
131
59
14
1+2
Add to Reduce
1+3+1
5+9
1+4
3
Second Total
5
14
5
-
Reduce to Deduce
-
1+4
-
3
Essence of Number
5
5
5
T
=
2
-
3
THE
33
15
6
F
=
6
-
5
F
FTH
49
31
4
A
=
1
-
9
AMENDMENT
89
35
8
-
-
9
4
17
Add to Reduce
171
81
18
-
-
-
-
1+7
Reduce to Deduce
1+7+1
8+1
1+8
Q
-
9
-
8
Essence of Number
9
9
9
Fifth Amendment to the United States Constitution
From Wikipedia, the free encyclopedia
The Fifth Amendment (Amendment V) to the United States Constitution is part of the Bill of Rights and protects individuals from being compelled to be witnesses against themselves in criminal cases. "Pleading the Fifth" is a colloquial term for invoking the right that allows witnesses to decline to answer questions where the answers might incriminate them, and generally without having to suffer a penalty for asserting the right. Defendants cannot be compelled to become witnesses at their own trials. If, however, they choose to testify, they are not entitled to the right, and inferences can be drawn from a refusal to answer a question during cross-examination. The Amendment requires that felonies be tried only upon indictment by a grand jury. Federal grand juries can force people to take the witness stand, but defendants in those proceedings have Fifth Amendment privileges until they choose to answer any question. To claim the privilege for failure to answer when being interviewed by police, the interviewee must have explicitly invoked the constitutional right when declining to answer questions.
The Amendment's Double Jeopardy Clause provides the right to be tried only once in federal court for the same offense. The Amendment also has a Due Process Clause (similar to the one in the 14th Amendment) as well as an implied equal protection requirement (Bolling v. Sharpe). Finally, the Amendment requires that the power of eminent domain be coupled with "just compensation" for those whose property is taken.
3
THE
33
15
6
4
LAST
52
7
7
6
SUPPER
95
32
5
13
Add to Reduce
180
54
18
1+3
Reduce to Deduce
1+8+0
5+4
1+8
4
Essence of Number
9
9
9
-
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
1
-
-
1
-
-
-
-
-
+
=
10
1+0
=
1
=
1
=
1
-
-
-
8
-
-
-
-
19
-
-
19
-
-
-
-
-
+
=
46
4+6
=
10
1+0
1
=
1
-
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
1
-
2
-
-
3
7
7
5
9
+
=
44
4+4
=
8
=
8
=
8
-
-
20
-
5
-
12
1
-
20
-
-
21
16
16
5
18
+
=
134
1+3+4
=
8
=
8
=
8
-
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
12
1
19
20
-
19
21
16
16
5
18
+
=
180
1+8+0
=
9
=
9
=
9
-
-
2
8
5
-
3
1
1
2
-
1
3
7
7
5
9
+
=
54
5+4
=
9
=
9
=
9
-
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
1
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
-
-
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
3
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
7
-
-
-
-
7
occurs
x
2
=
14
=
5
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
=
9
10
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
35
-
-
13
-
54
-
36
1+0
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
3+5
-
-
1+3
-
5+4
-
3+6
1
4
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
8
-
-
4
-
9
-
9
-
-
2
8
5
-
3
1
1
2
-
1
3
7
7
5
9
-
-
-
-
-
-
-
-
-
-
1
4
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
8
-
-
4
-
9
-
9
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
1
-
-
1
-
-
-
-
-
+
=
10
1+0
=
1
=
1
=
1
-
-
8
-
-
-
-
19
-
-
19
-
-
-
-
-
+
=
46
4+6
=
10
1+0
1
=
1
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
1
-
2
-
-
3
7
7
5
9
+
=
44
4+4
=
8
=
8
=
8
-
20
-
5
-
12
1
-
20
-
-
21
16
16
5
18
+
=
134
1+3+4
=
8
=
8
=
8
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
12
1
19
20
-
19
21
16
16
5
18
+
=
180
1+8+0
=
9
=
9
=
9
-
2
8
5
-
3
1
1
2
-
1
3
7
7
5
9
+
=
54
5+4
=
9
=
9
=
9
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
1
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
-
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
3
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
-
7
7
-
-
-
-
7
occurs
x
2
=
14
=
5
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
=
9
13
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
35
-
-
13
-
54
-
36
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
3+5
-
-
1+3
-
5+4
-
3+6
4
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
8
-
-
4
-
9
-
9
-
2
8
5
-
3
1
1
2
-
1
3
7
7
5
9
-
-
-
-
-
-
-
-
-
-
4
T
H
E
-
L
A
S
T
-
S
U
P
P
E
R
-
-
8
-
-
4
-
9
-
9
-
7
P
R
O
B
L
E
M
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
-
+
=
6
-
=
6
-
6
-
-
-
-
15
-
-
-
-
+
=
15
1+5
=
6
-
6
-
7
P
R
O
B
L
E
M
-
-
-
-
-
--
-
-
-
-
7
9
-
2
3
5
4
+
=
30
3+0
=
3
-
3
-
-
16
18
-
2
12
5
13
+
=
66
6+6
=
12
1+2
3
-
7
P
R
O
B
L
E
M
-
-
-
-
-
--
-
-
-
-
16
18
15
2
12
5
13
+
=
81
8+1
=
9
-
9
-
-
7
9
6
2
3
5
4
+
=
36
3+6
=
9
-
9
-
7
P
R
O
B
L
E
M
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
-
-
-
--
--
--
3
--
-
-
-
3
occurs
x
1
=
3
-
-
-
--
--
--
-
--
4
-
-
4
occurs
x
1
=
4
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
-
-
-
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
9
7
P
R
O
B
L
E
M
-
-
36
-
-
7
-
36
-
-
-
9
-
-
-
-
-
-
-
3+6
-
-
-
-
3+6
9
7
P
R
O
B
L
E
M
-
-
9
-
-
7
-
9
-
-
7
9
6
2
3
5
4
-
-
-
-
-
-
-
-
9
7
P
R
O
B
L
E
M
-
-
9
-
-
7
-
9
7
P
R
O
B
L
E
M
-
-
-
-
-
--
-
-
-
-
-
6
-
-
-
-
+
=
6
-
=
6
-
6
-
-
-
15
-
-
-
-
+
=
15
1+5
=
6
-
6
7
P
R
O
B
L
E
M
-
-
-
-
-
--
-
-
-
7
9
-
2
3
5
4
+
=
30
3+0
=
3
-
3
-
16
18
-
2
12
5
13
+
=
66
6+6
=
12
1+2
3
7
P
R
O
B
L
E
M
-
-
-
-
-
--
-
-
-
16
18
15
2
12
5
13
+
=
81
8+1
=
9
-
9
-
7
9
6
2
3
5
4
+
=
36
3+6
=
9
-
9
7
P
R
O
B
L
E
M
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
-
-
--
--
--
3
--
-
-
-
3
occurs
x
1
=
3
-
-
--
--
--
-
--
4
-
-
4
occurs
x
1
=
4
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
-
-
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
7
P
R
O
B
L
E
M
-
-
36
-
-
7
-
36
-
-
9
-
-
-
-
-
-
-
3+6
-
-
-
-
3+6
7
P
R
O
B
L
E
M
-
-
9
-
-
7
-
9
-
7
9
6
2
3
5
4
-
-
-
-
-
-
-
-
7
P
R
O
B
L
E
M
-
-
9
-
-
7
-
9
-
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
-
-
-
-
5
-
+
=
14
1+4
=
5
-
5
=
5
-
-
-
9
-
-
-
-
-
14
-
+
=
23
2+3
=
5
=
5
=
5
-
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
--
-
-
-
-
-
-
6
9
18
13
1
13
5
-
2
+
=
31
3+1
=
4
=
4
=
4
-
-
6
9
9
4
1
4
5
-
20
+
=
76
7+6
=
13
1+3
4
=
4
-
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
--
-
-
-
-
-
-
6
9
18
13
1
13
5
14
20
+
=
99
9+9
=
18
1+8
9
=
9
-
-
6
9
9
4
1
4
5
5
2
+
=
45
4+5
=
9
-
9
=
9
-
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
-
-
-
-`-
-
-
-
2
-
-
2
occurs
x
1
=
2
-
2
3
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
5
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
6
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
6
7
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
9
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
10
9
F
I
R
M
A
M
E
N
T
-
-
35
-``
-
9
-
45
-
27
1+0
-
-
9
9
-
-
-
-
-
-
-
-
3+5
-
-
-
-
4+5
-
2+7
1
9
F
I
R
M
A
M
E
N
T
-
-
8
-``
-
9
-
9
-
9
-
-
6
9
9
4
1
4
5
5
2
-
-
-
-
-
-
-
-
-
-
1
9
F
I
R
M
A
M
E
N
T
-
-
8
-``
-
9
-
9
-
9
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
-
-
-
5
-
+
=
14
1+4
=
5
-
5
=
5
-
-
9
-
-
-
-
-
14
-
+
=
23
2+3
=
5
=
5
=
5
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
--
-
-
-
-
-
6
9
18
13
1
13
5
-
2
+
=
31
3+1
=
4
=
4
=
4
-
6
9
9
4
1
4
5
-
20
+
=
76
7+6
=
13
1+3
4
=
4
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
--
-
-
-
-
-
6
9
18
13
1
13
5
14
20
+
=
99
9+9
=
18
1+8
9
=
9
-
6
9
9
4
1
4
5
5
2
+
=
45
4+5
=
9
-
9
=
9
9
F
I
R
M
A
M
E
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
-
-
-`-
-
-
-
2
-
-
2
occurs
x
1
=
2
-
2
-
-
-
-
4
-
4
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
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
9
F
I
R
M
A
M
E
N
T
-
-
35
-``
-
9
-
45
-
27
-
-
9
9
-
-
-
-
-
-
-
-
3+5
-
-
-
-
4+5
-
2+7
9
F
I
R
M
A
M
E
N
T
-
-
8
-``
-
9
-
9
-
9
-
6
9
9
4
1
4
5
5
2
-
-
-
-
-
-
-
-
-
-
9
F
I
R
M
A
M
E
N
T
-
-
8
-``
-
9
-
9
-
9
T
=
2
6
TWENTY
107
26
8
F
=
6
4
FOUR
60
24
6
-
-
8
10
First Total
167
50
14
-
1
-
1+0
Add to Reduce
1+6+7
5+0
1+4
Q
-
8
1
Second Total
14
5
5
-
-
-
-
Reduce to Deduce
1+4
-
-
-
-
8
1
Essence of Number
5
5
5
5
SIXTY
97
25
7
4
FOUR
60
24
6
9
First Total
157
49
13
-
Add to Reduce
1+5+7
4+9
1+3
9
Second Total
13
13
4
-
Reduce to Deduce
1+3
1+3
-
9
Essence of Number
4
4
4
6
LOVING
79
34
7
5
PEACE
30
21
3
3
AND
19
10
1
4
GOOD
41
23
5
4
WILL
56
20
2
4
UNTO
70
16
7
3
ALL
25
7
7
8
SENTIENT
106
34
7
6
BEINGS
56
29
2
43
First Total
482
194
41
4+3
Add to Reduce
4+8+2
1+9+4
4+1
7
Second Total
14
14
5
-
Reduce to Deduce
1+4
1+4
-
7
Essence of Number
5
5
5
-
8
M
I
R
R
O
R
E
D
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
-
6
-
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
-
9
-
-
15
-
-
-
+
=
24
2+4
=
6
=
6
=
6
-
8
M
I
R
R
O
R
E
D
-
-
-
-
-
--
-
-
-
-
-
-
4
-
9
9
-
9
5
4
+
=
40
4+0
=
4
=
4
=
4
-
-
13
-
18
18
-
18
5
4
+
=
76
7+6
=
13
1+3
4
=
4
-
8
M
I
R
R
O
R
E
D
-
-
-
-
-
--
-
-
-
-
-
-
13
9
18
18
15
18
5
4
+
=
100
1+0+0
=
1
=
1
=
1
-
-
4
9
9
9
6
9
5
4
+
=
55
5+5
=
10
1+0
1
=
1
-
8
M
I
R
R
O
R
E
D
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
--
--
--
--
--
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
--
--
--
--
--
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
--
--
--
--
--
-
-
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
-
-
-
-
-
-
-
8
-
-
-
-
--
--
--
--
--
-
-
8
-
-
-
-
-
-
-
-
-
-
9
9
9
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
21
8
M
I
R
R
O
R
E
D
-
-
24
-
-
8
-
55
-
28
2+1
-
-
9
9
9
-
9
-
-
-
-
2+4
-
-
-
-
5+5
-
2+8
3
8
M
I
R
R
O
R
E
D
-
-
6
-
-
8
-
10
-
10
-
-
4
9
9
9
6
9
5
4
-
-
-
-
-
-
-
1+0
-
1+0
3
8
M
I
R
R
O
R
E
D
-
-
6
-
-
8
-
1
-
1
8
M
I
R
R
O
R
E
D
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
6
-
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
9
-
-
15
-
-
-
+
=
24
2+4
=
6
=
6
=
6
8
M
I
R
R
O
R
E
D
-
-
-
-
-
--
-
-
-
-
-
4
-
9
9
-
9
5
4
+
=
40
4+0
=
4
=
4
=
4
-
13
-
18
18
-
18
5
4
+
=
76
7+6
=
13
1+3
4
=
4
8
M
I
R
R
O
R
E
D
-
-
-
-
-
--
-
-
-
-
-
13
9
18
18
15
18
5
4
+
=
100
1+0+0
=
1
=
1
=
1
-
4
9
9
9
6
9
5
4
+
=
55
5+5
=
10
1+0
1
=
1
8
M
I
R
R
O
R
E
D
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
9
9
9
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
8
M
I
R
R
O
R
E
D
-
-
24
-
-
8
-
55
-
28
-
-
9
9
9
-
9
-
-
-
-
2+4
-
-
-
-
5+5
-
2+8
8
M
I
R
R
O
R
E
D
-
-
6
-
-
8
-
10
-
10
-
4
9
9
9
6
9
5
4
-
-
-
-
-
-
-
1+0
-
1+0
8
M
I
R
R
O
R
E
D
-
-
6
-
-
8
-
1
-
1
-
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
6
-
-
9
-
-
-
-
+
=
24
2+4
=
6
=
6
=
6
-
-
-
9
-
-
15
-
-
9
-
-
-
-
+
=
33
3+3
=
6
=
6
=
6
-
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
-
4
-
9
9
-
9
-
-
4
1
7
5
+
=
48
4+8
=
12
1+2
3
=
3
-
-
13
-
18
18
-
18
-
-
13
1
7
5
+
=
93
9+3
=
12
1+2
3
=
3
-
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
-
13
9
18
18
15
18
-
9
13
1
7
5
+
=
126
1+2+6
=
9
=
9
=
9
-
-
4
9
9
9
6
9
-
9
4
1
7
5
+
=
72
7+2
=
9
=
9
=
9
-
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
9
9
-
9
-
9
-
-
-
-
-
-
9
occurs
x
5
=
45
3+6
9
13
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
32
-
-
11
-
72
-
36
1+3
1+1
-
9
9
9
-
9
-
9
-
-
-
-
-
-
3+2
-
-
1+1
-
7+2
-
3+6
4
2
M
I
R
R
O
R
-
I
M
A
G
E
-
-
5
-
-
2
-
9
-
9
-
-
4
9
9
9
6
9
-
9
4
1
7
5
-
-
-
-
-
-
-
-
-
-
4
2
M
I
R
R
O
R
-
I
M
A
G
E
-
-
5
-
-
2
-
9
-
9
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
6
-
-
9
-
-
-
-
+
=
24
2+4
=
6
=
6
=
6
-
-
9
-
-
15
-
-
9
-
-
-
-
+
=
33
3+3
=
6
=
6
=
6
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
4
-
9
9
-
9
-
-
4
1
7
5
+
=
48
4+8
=
12
1+2
3
=
3
-
13
-
18
18
-
18
-
-
13
1
7
5
+
=
93
9+3
=
12
1+2
3
=
3
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
13
9
18
18
15
18
-
9
13
1
7
5
+
=
126
1+2+6
=
9
=
9
=
9
-
4
9
9
9
6
9
-
9
4
1
7
5
+
=
72
7+2
=
9
=
9
=
9
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
7
=
7
-
-
9
9
9
-
9
-
9
-
-
-
-
-
-
9
occurs
x
5
=
45
3+6
9
11
M
I
R
R
O
R
-
I
M
A
G
E
-
-
32
-
-
11
-
72
-
36
1+1
-
9
9
9
-
9
-
9
-
-
-
-
-
-
3+2
-
-
1+1
-
7+2
-
3+6
2
M
I
R
R
O
R
-
I
M
A
G
E
-
-
5
-
-
2
-
9
-
9
-
4
9
9
9
6
9
-
9
4
1
7
5
-
-
-
-
-
-
-
-
-
-
2
M
I
R
R
O
R
-
I
M
A
G
E
-
-
5
-
-
2
-
9
-
9
-`
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
+
=
9
-
=
9
=
9
-
-
9
-
-
-
-
+
=
9
-
=
9
=
9
-`
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
4
1
7
5
+
=
17
1+7
=
8
=
8
-
-
-
13
1
7
5
+
=
26
2+6
=
8
=
8
-`
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
9
13
1
7
5
+
=
35
3+5
=
8
=
8
-
-
9
4
1
7
5
+
=
26
2+6
=
8
=
8
-
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
3
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
7
-
-
-
7
occurs
x
1
=
7
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
19
5
I
M
A
G
E
-
-
26
-
-
5
-
26
1+9
-
9
-
-
-
-
-
-
2+6
-
-
-
-
2+6
10
5
I
M
A
G
E
-
-
8
-
-
5
-
8
1+0
-
9
4
1
7
5
-
-
-
-
-
--
-
-
9
5
I
M
A
G
E
-
-
8
-
-
5
-
8
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
9
-
-
-
-
+
=
9
-
=
9
=
9
-
9
-
-
-
-
+
=
9
-
=
9
=
9
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
4
1
7
5
+
=
17
1+7
=
8
=
8
-
-
13
1
7
5
+
=
26
2+6
=
8
=
8
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
9
13
1
7
5
+
=
35
3+5
=
8
=
8
-
9
4
1
7
5
+
=
26
2+6
=
8
=
8
5
I
M
A
G
E
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
-
-
-
-
7
-
-
-
7
occurs
x
1
=
7
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
5
I
M
A
G
E
-
-
26
-
-
5
-
26
-
9
-
-
-
-
-
-
2+6
-
-
-
-
2+6
5
I
M
A
G
E
-
-
8
-
-
5
-
8
-
9
4
1
7
5
-
-
-
-
-
--
-
-
5
I
M
A
G
E
-
-
8
-
-
5
-
8
-`
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
+
=
10
1+0
=
1
=
1
-
-
9
-
-
-
-
19
+
=
28
2+8
=
10
1+0
1
-`
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
-
-
4
1
7
5
-
+
=
17
1+7
=
8
=
8
-
-
-
13
1
7
5
-
+
=
26
2+6
=
8
=
8
-`
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
-
9
13
1
7
5
19
+
=
54
5+4
=
9
=
9
-
-
9
4
1
7
5
1
+
=
27
2+7
=
9
=
9
-
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
3
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
8
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
19
6
I
M
A
G
E
S
-
-
26
-
-
6
-
27
1+9
-
9
-
-
-
-
-
-
-
2+6
-
-
-
-
2+7
10
6
I
M
A
G
E
S
-
-
8
-
-
6
-
9
1+0
-
9
4
1
7
5
1
-
-
-
-
-
--
-
-
9
6
I
M
A
G
E
S
-
-
8
-
-
6
-
9
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
9
-
-
-
-
1
+
=
10
1+0
=
1
=
1
-
9
-
-
-
-
19
+
=
28
2+8
=
10
1+0
1
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
-
4
1
7
5
-
+
=
17
1+7
=
8
=
8
-
-
13
1
7
5
-
+
=
26
2+6
=
8
=
8
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
9
13
1
7
5
19
+
=
54
5+4
=
9
=
9
-
9
4
1
7
5
1
+
=
27
2+7
=
9
=
9
6
I
M
A
G
E
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
6
I
M
A
G
E
S
-
-
26
-
-
6
-
27
-
9
-
-
-
-
-
-
-
2+6
-
-
-
-
2+7
6
I
M
A
G
E
S
-
-
8
-
-
6
-
9
-
9
4
1
7
5
1
-
-
-
-
-
--
-
-
6
I
M
A
G
E
S
-
-
8
-
-
6
-
9
11
IMAGINATIVE
-
-
-
-
I
9
9
9
-
M+A+G
21
12
3
-
I
9
9
9
-
N+A+T
35
8
8
-
I
9
9
9
-
V+E
27
9
9
11
IMAGINATIVE
110
56
47
1+1
-
1+1+0
5+6
4+7
2
IMAGINATIVE
2
11
11
-
-
-
1+1
1+1
2
IMAGINATIVE
2
2
2
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
-
9
-
-
+
=
32
3+2
=
5
=
5
=
5
-
-
9
-
-
-
9
14
-
-
9
-
-
+
=
41
4+1
=
5
=
5
=
5
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
1
2
-
4
5
+
=
24
2+4
=
6
=
6
=
6
-
-
-
13
1
7
-
-
1
20
-
22
5
+
=
69
6+9
=
15
=
6
=
6
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
1
20
9
22
5
+
=
110
1+1+0
=
2
=
2
=
2
-
-
9
4
1
7
9
5
1
2
9
4
5
+
=
56
5+6
=
11
1+1
2
=
2
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
--
3
THREE
3
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
5
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
-
-
--
6
SIX
6
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
17
11
I
M
A
G
I
N
A
T
I
V
E
-
-
28
-
-
11
-
56
-
29
1+7
-
9
-
-
-
9
-
-
-
9
-
-
-
-
2+8
-
-
1+1
-
5+6
-
2+9
8
11
I
M
A
G
I
N
A
T
I
V
E
-
-
10
-
-
2
-
11
-
11
-
-
9
4
1
7
9
5
1
2
9
4
5
-
-
1+0
-
-
-
-
1+1
-
1+1
8
11
I
M
A
G
I
N
A
T
I
V
E
-
-
1
-
-
2
-
2
-
2
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
-
9
-
-
+
=
32
3+2
=
5
=
5
=
5
-
-
9
-
-
-
9
14
-
-
9
-
-
+
=
41
4+1
=
5
=
5
=
5
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
1
2
-
4
5
+
=
24
2+4
=
6
=
6
=
6
-
-
-
13
1
7
-
-
1
20
-
22
5
+
=
69
6+9
=
15
=
6
=
6
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
1
20
9
22
5
+
=
110
1+1+0
=
2
=
2
=
2
-
-
9
4
1
7
9
5
1
2
9
4
5
+
=
56
5+6
=
11
1+1
2
=
2
-
11
I
M
A
G
I
N
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
4
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
5
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
17
11
I
M
A
G
I
N
A
T
I
V
E
-
-
28
-
-
11
-
56
-
29
1+7
-
9
-
-
-
9
-
-
-
9
-
-
-
-
2+8
-
-
1+1
-
5+6
-
2+9
8
11
I
M
A
G
I
N
A
T
I
V
E
-
-
10
-
-
2
-
11
-
11
-
-
9
4
1
7
9
5
1
2
9
4
5
-
-
1+0
-
-
-
-
1+1
-
1+1
8
11
I
M
A
G
I
N
A
T
I
V
E
-
-
1
-
-
2
-
2
-
2
-
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
-
9
6
5
+
=
43
4+3
=
7
=
7
=
7
-
-
9
-
-
-
9
14
-
-
9
15
14
+
=
70
7+0
=
7
=
7
=
7
-
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
1
2
-
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
-
13
1
7
-
-
1
20
-
-
-
+
=
42
4+2
=
6
=
6
=
6
-
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
1
20
9
15
14
+
=
112
1+1+2
=
4
=
4
=
4
-
-
9
4
1
7
9
5
1
2
9
6
5
+
=
58
5+8
=
13
1+3
4
=
4
-
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
8
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
5
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
6
-6
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
11
11
I
M
A
G
I
N
A
T
I
O
N
-
-
34
-
-
11
-
58
-
31
1+1
1+1
9
-
-
-
9
-
-
-
9
-
-
-
-
3+4
-
-
1+1
-
5+8
-
3+1
2
2
I
M
A
G
I
N
A
T
I
O
N
-
-
7
-
-
2
-
13
-
4
-
-
9
-
-
-
9
-
-
-
9
-
-
-
-
-
-
-
-
-
1+3
-
-
2
2
I
M
A
G
I
N
A
T
I
O
N
--
-
7
-
-
2
-
4
-
4
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
-
9
6
5
+
=
43
4+3
=
7
=
7
=
7
-
9
-
-
-
9
14
-
-
9
15
14
+
=
70
7+0
=
7
=
7
=
7
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
1
2
-
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
13
1
7
-
-
1
20
-
-
-
+
=
42
4+2
=
6
=
6
=
6
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
1
20
9
15
14
+
=
112
1+1+2
=
4
=
4
=
4
-
9
4
1
7
9
5
1
2
9
6
5
+
=
58
5+8
=
13
1+3
4
=
4
11
I
M
A
G
I
N
A
T
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
4
=
4
-
-
-
-
-
-
5
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
6
-6
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
9
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
11
I
M
A
G
I
N
A
T
I
O
N
-
-
34
-
-
11
-
58
-
31
1+1
9
-
-
-
9
-
-
-
9
-
-
-
-
3+4
-
-
1+1
-
5+8
-
3+1
2
I
M
A
G
I
N
A
T
I
O
N
-
-
7
-
-
2
-
13
-
4
-
9
-
-
-
9
-
-
-
9
-
-
-
-
-
-
-
-
-
1+3
-
-
2
I
M
A
G
I
N
A
T
I
O
N
--
-
7
-
-
2
-
4
-
4
-
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
+
=
23
2+3
=
5
=
5
=
5
-
-
9
-
-
-
9
14
-
+
=
32
3+2
=
5
=
5
=
5
-
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
5
+
=
17
1+7
=
8
=
8
=
8
-
-
-
13
1
7
-
-
5
+
=
26
2+6
=
8
=
8
=
8
-
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
5
+
=
58
5+8
=
13
1+3
4
=
4
-
-
9
4
1
7
9
5
5
+
=
40
4+0
=
4
=
4
=
4
-
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
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
19
7
I
M
A
G
I
N
E
-
-
26
-
-
11
-
40
-
22
1+9
-
9
-
-
-
9
-
-
-
-
2+6
-
-
1+1
-
4+0
-
2+2
10
7
I
M
A
G
I
N
E
-
-
8
-
-
2
-
4
-
4
1+0
-
9
4
1
7
9
5
5
-
-
-
-
-
-
-
-
-
-
1
7
I
M
A
G
I
N
E
-
-
8
-
-
2
-
4
-
4
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
+
=
23
2+3
=
5
=
5
=
5
-
9
-
-
-
9
14
-
+
=
32
3+2
=
5
=
5
=
5
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
5
+
=
17
1+7
=
8
=
8
=
8
-
-
13
1
7
-
-
5
+
=
26
2+6
=
8
=
8
=
8
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
5
+
=
58
5+8
=
13
1+3
4
=
4
-
9
4
1
7
9
5
5
+
=
40
4+0
=
4
=
4
=
4
7
I
M
A
G
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
9
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
I
M
A
G
I
N
E
-
-
26
-
-
11
-
40
-
22
-
9
-
-
-
9
-
-
-
-
2+6
-
-
1+1
-
4+0
-
2+2
7
I
M
A
G
I
N
E
-
-
8
-
-
2
-
4
-
4
-
9
4
1
7
9
5
5
-
-
-
-
-
-
-
-
-
-
7
I
M
A
G
I
N
E
-
-
8
-
-
2
-
4
-
4
-
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
1
+
=
24
2+4
=
6
=
6
=
6
-
-
9
-
-
-
9
14
-
19
+
=
51
5+1
=
6
=
6
=
6
-
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
5
-
+
=
17
1+7
=
8
=
8
=
8
-
-
-
13
1
7
-
-
5
-
+
=
26
2+6
=
8
=
8
=
8
-
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
5
19
+
=
77
7+7
=
14
1+4
5
=
5
-
-
9
4
1
7
9
5
5
1
+
=
41
4+1
=
5
=
5
=
5
-
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
5
5
-
-
-
5
occurs
x
2
=
10
1+0
1
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
19
8
I
M
A
G
I
N
E
S
-
-
26
-
-
8
-
41
-
23
1+9
-
9
-
-
-
9
-
-
-
-
-
2+6
-
-
-
-
4+1
-
2+3
10
8
I
M
A
G
I
N
E
S
-
-
8
-
-
8
-
5
-
5
1+0
-
9
4
1
7
9
5
5
1
-
-
-
-
-
-
-
-
-
-
1
8
I
M
A
G
I
N
E
S
-
-
8
-
-
8
-
5
-
5
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
5
-
1
+
=
24
2+4
=
6
=
6
=
6
-
9
-
-
-
9
14
-
19
+
=
51
5+1
=
6
=
6
=
6
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
4
1
7
-
-
5
-
+
=
17
1+7
=
8
=
8
=
8
-
-
13
1
7
-
-
5
-
+
=
26
2+6
=
8
8
=
8
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
9
13
1
7
9
14
5
19
+
=
77
7+7
=
14
1+4
5
=
5
-
9
4
1
7
9
5
5
1
+
=
41
4+1
=
5
=
5
=
5
8
I
M
A
G
I
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
5
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
8
I
M
A
G
I
N
E
S
-
-
26
-
-
8
-
41
-
23
-
9
-
-
-
9
-
-
-
-
-
2+6
-
-
-
-
4+1
-
2+3
8
I
M
A
G
I
N
E
S
-
-
8
-
-
8
-
5
-
5
-
9
4
1
7
9
5
5
1
-
-
-
-
-
-
-
-
-
-
8
I
M
A
G
I
N
E
S
-
-
8
-
-
8
-
5
-
5
-
IMAGINES
-
-
-
1
I
9
9
9
7
ENIGMAS
68
32
5
8
IMAGINES
77
41
14
-
-
7+7
4+1
1+4
8
IMAGINES
14
5
5
-
-
1+4
-
-
8
IMAGINES
5
5
5
-
IMAGINE
-
-
-
1
I
9
9
9
6
ENIGMA
49
31
4
7
IMAGINE
58
40
13
-
-
5+8
4+0
1+3
7
IMAGINE
13
4
4
-
-
1+3
-
-
7
IMAGINE
4
4
4
11
IMAGINATIVE
-
-
-
-
I
9
9
9
-
M+A+G
21
12
3
-
I
9
9
9
-
N+A+T
35
8
8
-
I
9
9
9
-
V+E
27
9
9
11
IMAGINATIVE
-
-
-
11
IMAGINATIVE
-
-
-
-
I
9
9
9
-
M+A+G
21
12
3
-
I
9
9
9
-
N+A+T
35
8
8
-
I
9
9
9
-
V+E
27
9
9
11
IMAGINATIVE
110
56
47
1+1
-
1+1+0
5+6
4+7
2
IMAGINATIVE
2
11
11
-
-
-
1+1
1+1
2
IMAGINATIVE
2
2
2
T
=
2
-
3
THE
33
15
6
I
=
9
-
11
IMAGINATIVE
110
56
2
I
=
9
-
9
IMITATIVE
108
45
9
N
=
5
-
4
NEED
28
19
1
I
=
9
-
10
IMPERATIVE
118
55
1
S
-
34
4
37
First Total
397
190
19
-
-
3+4
-
3+7
Add to Reduce
3+9+7
1+9+0
1+9
S
-
7
4
10
Second Total
19
10
10
-
-
-
-
1+0
Reduce to Deduce
1+9
1+0
1+0
-
-
7
-
1
Third Total
10
1
1
-
-
-
-
-
Reduce to Deduce
1+0
-
-
-
-
7
-
1
Essence of Number
1
1
1
4
MAKE
30
12
3
7
BELIEVE
60
33
6
11
Add to Reduce
90
45
9
1+1
Reduce to Deduce
9+0
4+5
-
2
Essence of Number
9
9
9
-
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
4
1
2
5
-
2
5
3
-
5
4
5
+
=
45
4+5
=
9
=
9
=
9
-
-
13
1
11
5
-
2
5
12
-
5
22
5
+
=
81
8+1
=
9
=
9
=
9
-
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
13
1
11
5
-
2
5
12
9
5
22
5
+
=
90
9+0
=
9
=
9
=
9
-
-
4
1
2
5
-
2
5
3
9
5
4
5
+
=
45
4+5
=
9
=
9
=
9
-
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
2
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
4
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
5
-
-
5
-
-
5
-
5
-
-
5
occurs
x
4
=
20
=
2
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
21
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
24
-
-
11
-
45
-
27
2+1
1+1
-
-
-
5
-
-
5
-
-
5
-
5
-
-
2+4
-
-
1+1
-
4+5
-
2+7
3
2
M
A
K
E
-
B
E
L
I
E
V
E
-
-
6
-
-
2
-
9
-
9
-
6
4
1
2
5
-
2
5
3
9
5
4
5
-
-
-
-
6
6
6
-
6
-
3
2
M
A
K
E
-
B
E
L
I
E
V
E
-
-
6
-
-
2
-
9
-
9
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
4
1
2
5
-
2
5
3
-
5
4
5
+
=
45
4+5
=
9
=
9
=
9
-
13
1
11
5
-
2
5
12
-
5
22
5
+
=
81
8+1
=
9
=
9
=
9
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
13
1
11
5
-
2
5
12
9
5
22
5
+
=
90
9+0
=
9
=
9
=
9
-
4
1
2
5
-
2
5
3
9
5
4
5
+
=
45
4+5
=
9
=
9
=
9
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
2
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
4
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
-
5
-
-
5
-
5
-
-
5
occurs
x
4
=
20
=
2
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
11
M
A
K
E
-
B
E
L
I
E
V
E
-
-
24
-
-
11
-
45
-
27
1+1
-
-
-
5
-
-
5
-
-
5
-
5
-
-
2+4
-
-
1+1
-
4+5
-
2+7
2
M
A
K
E
-
B
E
L
I
E
V
E
-
-
6
-
-
2
-
9
-
9
6
4
1
2
5
-
2
5
3
9
5
4
5
-
-
-
-
6
6
6
-
6
-
2
M
A
K
E
-
B
E
L
I
E
V
E
-
-
6
-
-
2
-
9
-
9
11
M
A
K
E
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
11
M
A
K
E
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
4
1
2
5
2
5
3
-
5
4
5
+
=
45
4+5
=
9
=
9
=
9
-
13
1
11
5
2
5
12
-
5
22
5
+
=
81
8+1
=
9
=
9
=
9
11
M
A
K
E
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
13
1
11
5
2
5
12
9
5
22
5
+
=
90
9+0
=
9
=
9
=
9
-
4
1
2
5
2
5
3
9
5
4
5
+
=
45
4+5
=
9
=
9
=
9
11
M
A
K
E
B
E
L
I
E
V
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
2
-
2
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
4
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
5
-
-
5
-
5
-
-
5
occurs
x
4
=
20
=
2
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
11
M
A
K
E
B
E
L
I
E
V
E
-
-
24
-
-
11
-
45
-
27
1+1
-
-
-
5
-
5
-
-
5
-
5
-
-
2+4
-
-
1+1
-
4+5
-
2+7
2
M
A
K
E
B
E
L
I
E
V
E
-
-
6
-
-
2
-
9
-
9
6
4
1
2
5
2
5
3
9
5
4
5
-
-
-
-
6
6
6
-
6
-
2
M
A
K
E
B
E
L
I
E
V
E
-
-
6
-
-
2
-
9
-
9
9
GREETINGS
104
50
5
6
PLANET
68
23
5
5
EARTH
52
25
7
20
First Total
224
98
17
2+0
Add to Reduce
2+2+4
9+8
1+7
2
Second Total
8
17
8
-
Reduce to Deduce
-
1+7
-
2
Essence of Number
8
8
8
8
CITIZENS
105
42
6
9
GREETINGS
104
50
5
5
WORLD
72
27
9
14
First Total
176
77
14
1+4
Add to Reduce
1+7+6
7+7
1+4
5
Second Total
14
14
5
-
Reduce to Deduce
1+4
1+4
-
5
Essence of Number
5
5
5
F
=
6
9
FRATERNAL
95
41
5
G
=
7
9
GREETINGS
104
50
5
-
-
13
18
First Total
199
91
10
-
1
1+3
1+8
Add to Reduce
1+9+9
9+1
1+0
Q
-
4
9
Second Total
19
10
1
-
-
-
-
Reduce to Deduce
1+9
1+0
-
Q
-
4
9
Third Total
10
1
1
-
-
-
-
Reduce to Deduce
1+0
-
-
-
-
4
9
Essence of Number
1
1
1
5
WORLD
72
27
9
-
PHANES
-
-
-
1
P
16
7
7
2
HA
9
9
9
3
NES
38
11
2
6
PHANES
63
27
9
-
-
6+3
2+7
-
6
PHANES
9
9
9
-
6
P
H
A
N
E
S
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
5
-
1
+
=
14
1+4
=
5
=
5
=
5
-
-
-
8
-
14
-
19
+
=
41
4+1
=
5
-
5
-
5
-
6
P
H
A
N
E
S
-
-
-
-
-
--
-
-
-
-
-
-
7
-
1
-
5
-
+
=
13
1+3
=
4
-
4
-
4
-
-`
16
-
1
-
5
-
+
=
22
2+2
=
4
-
4
-
4
-
6
P
H
A
N
E
S
-
-
-
-
-
--
-
-
-
-
-
-
16
8
1
14
5
19
+
=
63
6+3
=
9
-
9
-
9
-
-
7
8
1
5
5
1
+
=
27
2+7
=
9
-
9
-
9
-
6
P
H
A
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
2
TWO
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
THREE
-
-
-
-
-
-
4
--
-
-
-
-
-
-
-
-
4
FOUR
-
-
-
-
-
-
-
-
-
-
-
5
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
6
SIX
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
9
NINE
-
9
-
-
-
-
24
6
P
H
A
N
E
S
-
-
21
-
-
6
-
27
-
27
2+4
-
-
-
-
-
-
-
-
-
2+1
-
-
-
-
2+7
-
2+7
6
6
P
H
A
N
E
S
-
-
3
-
-
6
-
9
-
9
-
-
7
8
1
5
5
1
-
-
-
-
-
-
-
-
-
-
6
6
P
H
A
N
E
S
-
-
3
-
-
6
-
9
-
9
6
P
H
A
N
E
S
-
-
-
-
-
--
-
-
-
-
-
-
8
-
5
-
1
+
=
14
1+4
=
5
=
5
=
5
-
-
8
-
14
-
19
+
=
41
4+1
=
5
-
5
-
5
6
P
H
A
N
E
S
-
-
-
-
-
--
-
-
-
-
-
7
-
1
-
5
-
+
=
13
1+3
=
4
-
4
-
4
-`
16
-
1
-
5
-
+
=
22
2+2
=
4
-
4
-
4
6
P
H
A
N
E
S
-
-
-
-
-
--
-
-
-
-
-
16
8
1
14
5
19
+
=
63
6+3
=
9
-
9
-
9
-
7
8
1
5
5
1
+
=
27
2+7
=
9
-
9
-
9
6
P
H
A
N
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
5
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
6
P
H
A
N
E
S
-
-
21
-
-
6
-
27
-
27
-
-
-
-
-
-
-
-
-
2+1
-
-
-
-
2+7
-
2+7
6
P
H
A
N
E
S
-
-
3
-
-
6
-
9
-
9
-
7
8
1
5
5
1
-
-
-
-
-
-
-
-
-
-
6
P
H
A
N
E
S
-
-
3
-
-
6
-
9
-
9
In these mythsPhanes is often equated with Eros and Mithras and has been depicted as a hermaphroditic deity emerging from a cosmic egg, entwined with a ...
en.wikipedia.org/wiki/Phanes_(mythology)
Phanes from Greek phanaô ("To bring light"), ("make appear") or Protogonus ("first-born") was the mystic primeval deity of procreation and the generation of new life who was introduced into the Greek myths by the Orphictradition (c. 530 BC); other names for this Classical GreekOrphic concept includedEricapaeus ("power") and Metis ("thought"). In these mythsPhanes is often equated with Eros and Mithras and has been depicted as a hermaphroditicdeity emerging from a cosmic egg, entwined with a serpent. Many threads of earlier myths are apparent in the new tradition.
Phanes was believed to have been hatched from the World-Egg of Chronos and Ananke. He was made the ruler of the deities and passed the sceptre to Nyx, hismother, wife, sister, or daughter (possibly all). This new Orphictradition states that Nyx later gave the sceptre to her son Ouranos before it passed to Kronus and Zeus, who retained it (because he was not succeeded by another Greek deity).
7
OURANOS
-
-
-
-
OUR
54
18
9
3
SON
48
12
3
-
A
1
1
1
7
OURANOS
103
31
13
-
-
1+0+3
3+1
1+3
7
OURANOS
4
4
4
A
SON OUR SON
OURANOS
ZEUS SEE US US SEE ZEUS
RHEA HEARHEAR RHEA
EROS SORE EROS SORE
PLAY TO PLAY TO TO PLAY
METIS TIS ME I ME TIS METIS
MITHRAS THIS RAM RAM THIS MITHRAS
THE LIGHT IS RISING RISING IS THE LIGHT
I
THATAMALWAYS OF THE FIRST TIME ALWAYS OF THE FIRST TIME AM
I
9
T81TAM135171 OF THE 69912 T945 135171 OF THE 69912 T945 AM
"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 polardarkness, 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 ofoneness with the universe. Theconviction came that therhythm was too orderly. too harmonious, too perfect to be a product of blind chance - that, therefore there inust 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 Cronusgod 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 Sattun'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 honouured 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 existted 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 ofthe 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 alwaysdelightedbudding mathematician.
Page 206
Somewhere along the way, according to Robert Graves, 9became 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 ownerpower 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 reflets, 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 kn to the ancient world, that is, Saturn, Jupiter, Mars, Venus Mercury.
Graves suggests a religious mystery bound up with two an cient 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 n umbers he points out that the aggregate number of letter strokes for the complete 22-letter Ogham alphabet that he is studying isf 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. maxium eastern elongation 'to inferior conjunction and mazimum 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
e beliefs, and that the only original element in Christi- 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 432digits.
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 numbercoincidences, 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'sromance with numbercoincidences.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 proveit by feeding -all the available scientificinformation. 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 cirle 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.
COMPREHENSIBLE
-
7
D
R
E
A
M
E
R
-
-
-
-
-
--
-
-
-
-
-
-
4
18
5
1
13
5
18
+
=
64
6+4
=
10
1+0
1
-
1
-
-
4
9
5
1
4
5
9
+
=
37
3+7
=
10
1+0
1
-
1
-
7
D
R
E
A
M
E
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
1
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
4
-
-
-
4
-
-
-
-
4
occurs
x
2
=
8
-
8
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
26
7
D
R
E
A
M
E
R
-
-
19
-
-
7
-
37
-
19
2+6
-
-
9
-
-
-
-
9
-
-
1+9
-
-
-
-
3+7
-
1+9
8
7
D
R
E
A
M
E
R
-
-
10
-
-
7
-
10
-
10
-
-
4
9
5
1
4
5
9
-
-
1+0
-
-
-
-
1+0
-
1+0
8
7
D
R
E
A
M
E
R
-
-
1
-
-
7
-
1
-
1
Freiheit - Keeping The Dream Alive lyrics. From the Original Motion Picture ...In my fantasyIremember 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 had 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 answerscome 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 answerscome 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 answerscome 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
7
BECAUSE
56
20
2
4
WE'RE
51
24
6
7
KEEPING
67
40
4
3
THE
33
15
6
5
DREAM
41
23
5
5
ALIVE
49
22
4
31
First Total
297
144
27
3+1
Add to Reduce
2+9+7
1+4+4
7+2
4
Second Total
18
9
9
-
Reduce to Deduce
2+9+7
-
-
4
Essence of Number
9
9
9
-
20
K
E
E
P
I
N
G
-
T
H
E
-
D
R
E
A
M
-
A
L
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
9
5
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
+
=
31
3+1
=
4
-
4
-
4
-
-
-
-
-
-
9
14
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
+
=
40
4+0
=
-
-
4
-
4
-
20
K
E
E
P
I
N
G
-
T
H
E
-
D
R
E
A
M
-
A
L
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
2
5
5
16
-
-
7
-
20
-
5
-
4
9
5
1
4
-
1
12
-
22
5
+
=
69
6+9
=
15
1+5
6
-
6
-
-
11
5
5
7
-
-
7
-
2
-
5
-
4
18
5
1
13
-
1
3
-
4
5
+
=
150
1+5+0
=
6
-
6
-
6
-
20
K
E
E
P
I
N
G
-
T
H
E
-
D
R
E
A
M
-
A
L
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
11
5
5
16
9
14
7
-
20
8
5
-
4
18
5
1
13
-
1
12
9
22
5
+
=
190
1+9+0
=
10
1+0
1
-
1
-
-
2
5
5
7
9
5
7
-
2
8
5
-
4
9
5
1
4
-
1
3
9
4
5
+
=
100
1+0+0
=
1
-
1
-
1
-
20
K
E
E
P
I
N
G
-
T
H
E
-
D
R
E
A
M
-
A
L
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
-
2
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
-
-
-
-
4
-
-
-
4
occurs
x
3
=
12
1+2
3
-
-
-
5
5
-
-
5
-
-
-
-
5
-
-
-
5
-
-
-
-
-
-
-
5
-
-
5
occurs
x
6
=
30
3+0
3
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
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
2+7
9
6
20
K
E
E
P
I
N
G
-
T
H
E
-
D
R
E
A
M
-
A
L
I
V
E
-
-
39
-
-
7
-
100
-
37
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
3+9
-
-
-
-
1+0+0
-
3+7
6
20
K
E
E
P
I
N
G
-
T
H
E
-
D
R
E
A
M
-
A
L
I
V
E
-
-
12
-
-
7
-
1
-
10
-
2+0
2
5
5
7
9
5
7
-
2
8
5
-
4
9
5
1
4
-
1
3
9
4
5
-
-
1+2
-
-
-
-
-
-
1+0
6
2
K
E
E
P
I
N
G
-
T
H
E
-
D
R
E
A
M
-
A
L
I
V
E
-
-
3
-
-
7
-
1
-
1
OSIRIS SO IRIS IS
ASTROLOGY A STARRY LOGO
IS
www.maat.sofiatopia.org/wenis.htm
ANCIENT EGYPT: The Pyramid Texts in the tomb of Pharaoh Wenis
The entrance corridor is a large ramp pointing northwards toward the circumpolar stars ("ixmw-sk" or "the ones that know not destruction")....
THE EGYPT CODE
Robert Bauval 2006
Page 322
"You have your tomb, O King, which belongs to the heart
of Him whose seats are hidden; he opens for you the doors of the sky, he throws open for you the doors of the firmament(?), he makes a road for you that you may
ascend by means of it into the company of the means of it into the company of the gods, you being alive in your bird shape. (PyramidTexts, 1,943)
These small architectural components within the
funerary complex may have linked to Sah (Orion) the 'father of the gods' and with the northern / Page 323 /
`Imperishable Stars (ixm.w-sk, lit. 'those who do not knowdestruction), who were described in the royal funerary texts as akhs (spirits) and gods. The Old Kingdom Pyramid Texts describe how the king. ascended to the sky among the Imperishable Stars, his sister was Sopdet (Sirius), his guide was the Morning Star (Horus) and they grasped his hand at the 'Field of Offerings' (Pyramid Texts, 1,123b). Horus of the Duat, the 'Morning Star' (Pyramid Texts, 1,207), set the king to be a magistrate among the akhs (spirits), the 'Imperishable Stars' in the north of the sky . . . (Pyramid Texts, 1,220).
A stairway to the sky was set up for the king among the 'Imperishable Stars' (Pyramid Texts, 1,941), and he went to the northern gods the 'Imperishable Stars' (Pyramid Texts, 818c). The king guided the `Imperishable Stars' (Pyramid Texts, 373), and was the head of the akhs (spirits), the 'Imperishable Stars' (Pyramid Texts, 656c). The king became an 'Imperishable Stars', son of the sky goddess who dwelt in the `Mansion of Selket' (Pyramid Texts, 1,469a). On later `astronomical' ceilings, Selket was depicted in the northern sky near Meskhetiu, the Plough/Big Dipper asterism, also an 'Imperishable' (Pyramid Texts, 458). Sah (Orion) in the southern sky was one of at least two distinctive star patterns the ancient Egyptians recognised and incorporated into their funerary ideology. In the earliest surviving royal funerary texts inscribed within the pyramids from the end of the Fifth Dynasty, Sah was the 'father of the gods' - the gods referred to were probably the akhs (spirits) of the dead kings, who became 'Imperishable Stars' or gods/great ones. The king was a great star, the
/ Page 325 / companion of Sah (Orion)), who traversed the sky with Sah, who navigated the Duat with Wsir. The king ascended from the east of the sky, and was renewed at his due season andrejuvenated at his due time, and the -sky bore the king with Sah (Pyramid Texts, 882-3).
The ancient Egyptians observed celestial cycles and used them to decide the date of their festivals and the correct timing of rituals. A fragment of a relief assigned to chamber A, from the chapel of Kawab's ma.staba (Fourth Dyn), shows the crescent moon N11) placed horizontally over the five-pointed star N14) that when combined was the ideogram for `month'. According to Gardiner, this showed 'time as indicated by stars'. This suggests observations of celestial cycles were a vital part of the temple work that determined the right or potent time for ritual practices and keep track of their sacred calendar. Pyramid Text, 269, may be an allusion to observations of timekeeping stars, 'O you who are over the hours, who arc before Ra .' The stars accompanied Ra the sun god as he traversed the sky, but the light of the rising sun completely overwhelmed the light of these stars. From the cenotaph of Sety I: 'As he (Ra) sails inside the dusk, these stars are behind him . . . these sailing stars enter after him, and come forth from him.'
'The end of the year was equated with death and burial, and the new year was equated with resurrection. The Wag festival was the great festival of the dead."
THE EGYPT CODE
Robert Bauval 2006
Page 322
"You have your tomb, O King, which belongs to the heart
of Him whose seats are hidden; he opens for you the doors of the sky, he throws open for you the doors of the firmament(?), he makes a road for you that you may
ascend by means of it into the company of the means of it into the company of the gods, you being alive in your bird shape. (PyramidTexts, 1,943)
These small architectural components within the
funerary complex may have linked to Sah (Orion) the 'father of the gods' and with the northern / Page 323 /
`Imperishable Stars (ixm.w-sk, lit. 'those who do not knowdestruction), who were described in the royal funerary texts as akhs (spirits) and gods.