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Evokation
  
 
Index
  

 

 

 

-
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

 

 

-
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
--
--
--
--
--
--
-
-
-
-
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
2
=
16
1+6
7
-
-
-
-
-
-
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
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
4
15
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
5
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

-
THE DOG STAR
-
-
-
3
THE
33
15
6
3
DOG
26
17
8
4
STAR
58
13
4
10
THE DOG STAR
117
45
18
1+0
-
1+1+7
4+5
1+8
1
THE DOG STAR
9
9
9

 

 

-
THE GOD STAR
-
-
-
3
THE
33
15
6
3
GOD
26
17
8
4
STAR
58
13
4
10
THE GOD STAR
117
45
18
1+0
-
1+1+7
4+5
1+8
1
THE GOD STAR
9
9
9

 

 

-
THE STAR GOD
-
-
-
3
THE
33
15
6
4
STAR
58
13
4
3
GOD
26
17
8
10
THE STAR GOD
117
45
18
1+0
-
1+1+7
4+5
1+8
1
THE STAR GOD
9
9
9

 

 

-
I HAVE COME
-
-
-
1
I
9
9
9
4
HAVE
36
18
9
4
COME
36
18
9
9
I HAVE COME
81
45
27
-
-
8+1
4+5
2+7
9
I HAVE COME
9
9
9

 

 

-
I HAVE COME
-
-
-
1
I
9
9
9
2
HA
9
9
9
2
VE
27
9
9
2
CO
18
9
9
2
ME
18
9
9
9
I HAVE COME
81
45
45
-
-
8+1
4+5
4+5
9
I HAVE COME
9
9
9

 

 

 

WORK DAYS OF GOD

Herbert W Morris D.D.circa 1883

Page 22

"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
C
D
E
F
G
H
I
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
J
K
L
M
N
O
P
Q
R
10
11
12
13
14
15
16
17
18
1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
S
T
U
V
W
X
Y
Z
I
19
20
21
22
23
24
25
26
9
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
ME
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
I
ME
I
ME
I
ME
I
ME
I
9
18
9
18
9
18
9
18
9
=
1+8
=
1+8
=
1+8
=
1+8
=
=
9
=
9
=
9
=
9
=
I
ME
I
ME
I
ME
I
ME
1
9
9
9
9
9
9
9
9
9
I
ME
I
ME
I
ME
I
ME
1

 

 

"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

 

 

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
-
-
-
-
-
-
-
-
-
1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
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
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
 -
-
-
-
-
-
-
-
-
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
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
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

 

 

MARIO AND THE MAGICIANS

THOMAS MANN

1875 - 1955

18

THE

TABLES OF THE LAW

Page 289

"...WITH A HANDFUL OF THESE SIGNS ALL THE WORDS

OF ALL THE LANGUAGES OF ALL THE PEOPLE

COULD, IF NEED BE, BEWRITTEN,..."

 

 

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."

 

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

AT THE THROW OF THE NINTH RAM WHEN IN CONJUNCTION SET

THE

FAR YONDER SCRIBE

MADE RECORD OF THEIR FALL

 

 

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"

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

R+HREE+OU+R+I+VE+I+EV+I+I

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

R+HREE+OU+R+I+VE+I+EV+I+I

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

85R6 655 256 2HREE 6OUR 6IVE 1I6 1EV55 5I782 5I55

R+HREE+OU+R+I+VE+I+EV+I+I

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

R+HREE+OU+R+I+VE+I+EV+I+I

85R6 655 256 2HREE 6OUR 6IVE 1I6 1EV55 5I782 5I55

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

8596 655 256 28955 6639 6945 196 15455 59782 5955

R+HREE+OU+R+I+VE+I+EV+I+I

8596 655 256 28955 6639 6945 196 15455 59782 5955

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

9+8+9+5+5+6+3+9+9+4+5+9+5+4+9+9

9+8+9+5+5+6+3+9+9+4+5+9+5+4+9+9

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

8596 655 256 28955 6639 6945 196 15455 59782 5955

7x9 = 63 36 = 9x7

8596 655 256 28955 6639 6945 196 15455 59782 5955

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZEO ONE TWO T F F SX SEN EGHT NNE

Z+E+O+ O+N+E+T+W+O+T+F+F+S+X+S+E+N+ E+G+H+T+N+N+E

8+5+6+6+5+5+2+5+6+2+6+6+1+6+1+5+5+5+7+8+2+5+5+5

Z+E+O+ O+N+E+T+W+O+T+F+F+S+X+S+E+N+ E+G+H+T+N+N+E

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

8596 655 256 28955 6639 6945 196 15455 59782 5955

R HREE OUR IVE I EV I I

R+H+R+E+E+O+U+R+I+V+E+I+E+V+I+I

9+8+9+5+5+6+3+9+9+4+5+9+5+4+9+9

R+H+R+E+E+O+U+R+I+V+E+I+E+V+I+I

R HREE OUR IVE I EV I I

8596 655 256 28955 6639 6945 196 15455 59782 5955

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

-
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 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
-
-
-
-
-
-
-
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
-
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
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
A
B
C
D
E
F
G
H
I
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
+
=
17
1+7
=
8
=
8
-
-
-
-
-
-
-
-
8
9
+
=
17
1+7
=
8
=
8
9
A
B
C
D
E
F
G
H
I
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
+
=
28
2+8
=
10
1+0
1
-
1
2
3
4
5
6
7
-
-
+
=
28
2+8
=
10
1+0
1
9
A
B
C
D
E
F
G
H
I
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
+
=
45
4+5
=
9
=
9
-
1
2
3
4
5
6
7
8
9
+
=
45
4+5
=
9
=
9
9
A
B
C
D
E
F
G
H
I
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
+
=
1
occurs
x
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
occurs
x
1
=
8
-
-
-
-
-
-
-
-
-
9
+
=
9
occurs
x
1
=
9
9
A
B
C
D
E
F
G
H
I
-
-
45
-
-
9
-
45
-
1
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
-
4+5
9
A
B
C
D
E
F
G
H
I
-
-
9
-
-
9
-
9
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
9
A
B
C
D
E
F
G
H
I
-
-
9
-
-
9
-
9

 

 

9
J
K
L
M
N
O
P
Q
R
-
-
-
-
-
-
-
-
-
-
-
-
-
5
6
-
-
-
+
=
11
1+1
=
2
=
2
-
-
-
-
-
14
15
-
-
-
+
=
29
2+9
=
11
1+1
2
9
J
K
L
M
N
O
P
Q
R
-
-
-
-
-
-
-
-
-
1
2
3
4
-
-
7
8
9
+
=
34
3+4
=
7
=
7
-
10
11
12
13
-
-
16
17
18
+
=
97
9+7
=
16
1+6
7
9
J
K
L
M
N
O
P
Q
R
-
-
-
-
-
-
-
-
-
10
11
12
13
14
15
16
17
18
+
=
126
1+2+6
=
9
=
9
-
1
2
3
4
5
6
7
8
9
+
=
45
4+5
=
9
=
9
9
J
K
L
M
N
O
P
Q
R
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
+
=
1
occurs
x
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
occurs
x
1
=
8
-
-
-
-
-
-
-
-
-
9
+
=
9
occurs
x
1
=
9
9
J
K
L
M
N
O
P
Q
R
-
-
45
-
-
9
-
45
-
10
11
12
13
14
15
16
17
18
-
-
4+5
-
-
-
-
4+5
9
J
K
L
M
N
O
P
Q
R
-
-
9
-
-
9
-
9
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
9
J
K
L
M
N
O
P
Q
R
-
-
9
-
-
9
-
9

 

 

8
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
1
-
-
-
-
6
-
8
+
=
15
1+5
=
6
=
6
-
19
-
-
-
-
24
-
26
+
=
69
6+9
=
15
1+5
6
8
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
2
3
4
5
-
7
-
+
=
21
2+1
=
3
=
3
-
-
20
21
22
23
-
25
-
+
=
111
1+1+1
=
3
=
3
8
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
19
20
21
22
23
24
25
26
+
=
 180
1+8+0
=
9
=
9
-
1
2
3
4
5
6
7
8
+
=
36
3+6
=
9
=
9
8
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
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
occurs
x
1
=
8
8
S
T
U
V
W
X
Y
Z
-
-
36
-
-
8
-
36
-
1
2
3
4
5
6
7
8
-
-
3+6
-
-
-
-
3+6
8
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
19
20
21
22
23
24
25
26
-
-
-
-
-
-
-
-
8
S
T
U
V
W
X
Y
Z
-
-
9
-
-
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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

 

 

A

MAZE

IN

ZAZAZA ENTER AZAZAZ

AZAZAZAZAZAZAZZAZAZAZAZAZAZA

ZAZAZAZAZAZAZAZAZAAZAZAZAZAZAZAZAZAZ

THE

MAGICALALPHABET

ABCDEFGHIJKLMNOPQRSTUVWXYZZYXWVUTSRQPONMLKJIHGFEDCBA

12345678910111213141516171819202122232425262625242322212019181716151413121110987654321

 

21-
27
T
H
E
-
F
A
I
R
Y
-
F
E
L
L
E
R
S
-
M
A
S
T
E
R
-
S
T
R
O
K
E
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
9
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
1
-
-
6
-
-
+
=
26
2+6
=
8
=
8
=
8
-
-
-
8
-
-
-
-
9
-
-
-
-
-
-
-
-
-
19
-
-
-
19
-
-
-
-
19
-
-
15
-
-
+
=
89
8+9
=
17
1+7
8
=
8
-
27
T
H
E
-
F
A
I
R
Y
-
F
E
L
L
E
R
S
-
M
A
S
T
E
R
-
S
T
R
O
K
E
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
6
1
-
9
7
-
6
5
3
3
5
9
-
-
4
1
-
2
5
9
-
-
2
9
-
2
5
+
=
100
1+0+0
=
10
1+0
1
=
1
-
-
20
-
5
-
6
1
-
18
25
-
6
5
12
12
5
18
-
-
13
1
-
20
5
18
-
-
20
18
-
11
5
+
=
244
2+4+4
=
10
1+0
1
=
1
-
27
T
H
E
-
F
A
I
R
Y
-
F
E
L
L
E
R
S
-
M
A
S
T
E
R
-
S
T
R
O
K
E
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
6
1
9
18
25
-
6
5
12
12
5
18
19
-
13
1
19
20
5
18
-
19
20
18
15
11
5
+
=
333
3+3+3
=
9
=
9
=
9
-
-
2
8
5
-
6
1
9
9
7
-
6
5
3
3
5
9
1
-
4
1
1
2
5
9
-
1
2
9
6
2
5
+
=
126
1+2=6
=
9
=
9
=
9
-
27
T
H
E
-
F
A
I
R
Y
-
F
E
L
L
E
R
S
-
M
A
S
T
E
R
-
S
T
R
O
K
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
1
1
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
5
=
5
=
5
2
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
-
-
2
-
-
-
2
occurs
x
4
=
8
=
8
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
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
-
-
-
-
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
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
5
=
45
4+5
9
45
27
T
H
E
-
F
A
I
R
Y
-
F
E
L
L
E
R
S
-
M
A
S
T
E
R
-
S
T
R
O
K
E
-
21
45
-
-
27
-
126
-
63
4+5
2+7
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
5
-
-
4+5
-
-
2+7
-
1+2+6
-
6+3
9
9
T
H
E
-
F
A
I
R
Y
-
F
E
L
L
E
R
S
-
M
A
S
T
E
R
-
S
T
R
O
K
E
-
-
9
-
-
9
-
9
-
9
-
-
2
8
5
-
6
1
9
9
7
-
6
5
3
3
5
9
1
-
4
1
1
2
5
9
-
1
2
9
6
2
5
-
-
-
-
-
-
-
-
-
-
9
9
T
H
E
-
F
A
I
R
Y
-
F
E
L
L
E
R
S
-
M
A
S
T
E
R
-
S
T
R
O
K
E
-
-
9
-
-
9
-
9
-
9

 

 

T
=
2
-
3
THE
33
15
6
F
=
6
-
5
FAIRY
59
32
5
F
=
6
-
7
FELLERS
77
32
5
M
=
4
-
6
MASTER
76
22
1
S
=
1
-
6
STROKE
88
25
7
-
-
19
-
27
First Total
333
126
27
-
-
1+9
-
2+7
Add to Reduce
3+3+3
1+2+6
2+7
Q
-
10
-
9
Second Total
9
9
9
-
-
1+0
-
-
Reduce to Deduce
-
-
-
Q
-
1
-
9
Essence of Number
9
9
9

 

 

-
24
T
H
E
-
B
O
O
K
-
O
F
-
W
H
A
T
-
I
S
-
I
N
-
T
H
E
-
D
U
A
T
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
-
-
6
6
-
-
6
-
-
-
5
-
-
-
9
1
-
9
5
-
-
5
-
-
-
-
-
-
+
=
66
6+6
=
12
1+2
3
-
3
-
-
-
8
-
-
-
15
15
-
-
15
-
-
-
8
-
-
-
9
19
-
9
14
-
-
8
-
-
-
-
-
-
+
=
120
1+2+0
=
3
-
3
-
3
-
24
T
H
E
-
B
O
O
K
-
O
F
-
W
H
A
T
-
I
S
-
I
N
-
T
H
E
-
D
U
A
T
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
-
2
-
-
2
-
-
6
-
5
-
1
2
-
-
-
-
-
-
-
2
-
5
-
4
3
1
2
+
=
42
4+2
=
6
-
6
-
6
-
-
20
-
5
-
2
-
-
11
-
-
6
-
23
-
1
20
-
-
-
-
-
-
-
20
-
5
-
4
21
1
20
+
=
159
1+5+9
=
15
1+5
6
-
6
-
24
T
H
E
-
B
O
O
K
-
O
F
-
W
H
A
T
-
I
S
-
I
N
-
T
H
E
-
D
U
A
T
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
2
15
15
11
-
15
6
-
23
8
1
20
-
9
19
-
9
14
-
20
8
5
-
4
21
1
20
+
=
279
2+7+9
=
18
1+8
9
-
9
-
-
2
8
5
-
2
6
6
2
-
6
6
-
5
8
1
2
-
9
1
-
9
5
-
2
8
5
-
4
3
1
2
+
=
108
1+0+8
=
9
=
9
-
9
-
24
T
H
E
-
B
O
O
K
-
O
F
-
W
H
A
T
-
I
S
-
I
N
-
T
H
E
-
D
U
A
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
3
=
3
-
3
-
``-
2
-
-
-
2
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
-
-
2
occurs
x
6
=
12
1+2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
-
4
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
-
-
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
6
6
-
-
6
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
4
=
24
2+4
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
24
T
H
E
-
B
O
O
K
-
O
F
-
W
H
A
T
-
I
S
-
I
N
-
T
H
E
-
D
U
A
T
-
-
38
-
-
24
-
108
-
36
-
2+4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
3+8
-
-
2+4
-
1+0+8
-
3+6
7
6
T
H
E
-
B
O
O
K
-
O
F
-
W
H
A
T
-
I
S
-
I
N
-
T
H
E
-
D
U
A
T
-
-
11
-
-
6
-
9
-
9
-
-
2
8
5
-
2
6
6
2
-
6
6
-
5
8
1
2
-
9
1
-
9
5
-
2
8
5
-
4
3
1
2
-
-
1+1
1
-
-
-
-
-
-
7
6
T
H
E
-
B
O
O
K
-
O
F
-
W
H
A
T
-
I
S
-
I
N
-
T
H
E
-
D
U
A
T
-
-
2
-
-
6
-
9
-
9

 

 

 

 

 

 

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"

 

 

OF TIME AND STARS

Arthur C. Clarke 1972

FOREWORD

"'Into the Comet' and 'The Nine Billion Names of God' both involve computers and the troubles they may cause us. While writing this preface, I had occasion to call upon my own HP 9100A computer, Hal Junior, to answer an interesting question. Looking at my records, I find that I have now written just about one hundred short stories. This volume contains eighteen of them: therefore, how many possible 18-story collections will I be able to put together? The answer ­as I am sure will be instantly obvious to you - is 100 x 99. . . x 84 x 83 divided by 18 x 17 x 16 ... x .2 x 1. This is an impressive number - Hal Junior tells me that it is approximately 20,772,733,124,605,000,000.

 

 

3
THE
33
15
6
4
NINE
42
24
6
7
BILLION
73
37
1
5
NAMES
52
16
7
2
OF
21
12
3
3
GOD
26
17
8
24
-
247
121
31
2+4
-
2+4+7
1+2+1
3+1
6
-
13
4
4
-
-
1+3
-
-
6
-
4
4
4

Page 15

The Nine Billion Names of God

'This is a slightly unusual request,' said Dr Wagner, with what he hoped was commendable restraint. 'As far as I know, it's the first time anyone's been asked to supply a Tibetan monastery with an Automatic Sequence Computer. I don't wish to be inquisitive, but I should hardly have thought that your - ah - establishment had much use for such a machine. Could you explain just what you intend to do with it?'
'Gladly,' replied the lama, readjusting his silk robes and carefully putting away the slide rule he had been using far currency conversions. 'Your Mark V Computer can carry out any routine mathematical operation involving up to ten digits. However, for our work we are interested in letters, not numbers. As we wish you to modify the output circuits, the machine will be printing words, not columns of figures.'
'I don't quite understand. . .'
'This is a project on which we have been working for the last three centuries - since the lamasery was founded, in fact. It is somewhat alien to your way of thought, so I hope you will listen with an open mind while I explain it.'
'Naturally.'
'It is really quite simple. We have been compiling a list which shall contain all the possible names of God.'
'I beg your pardon?'

Page16

'We have reason to believe,' continued the lama imperturbably, 'that all such names can be written with not more than nine letters in an alphabet we have devised.'
'And you have been doing this for three centuries?'
'Yes: we expected it would take us about fifteen thousand years to complete the task.'
'Oh,' Dr Wagner looked a little dazed. 'Now I see why you wanted to hire one of our machines. But what exactly is the purpose of this project?'
The lama hesitated for a fraction of a second, and Wagner wondered if he had offended him. If so, there was no trace of annoyance in the reply.
'Call it ritual, if you like, but it's a fundamental part of our belief. All the many names of the Supreme Being - God Jehova, Allah, and so on - they are only man-made labels. There is a philosophical problem of some difficulty here, which I do not propose to discuss, but somewhere among all the possible combinations of letters that can occur are what one may call the real names of God. By systematic permutation of letters, we have been trying to list them all.'
'I see. You've been starting at AAAAAAA . . . and working up to ZZZZZZZZ . . .'
'Exactly - though we use a special alphabet of our own. Modifying the electromatic typewriters to deal with this is, of course, trivial. A rather more interesting problem is that of devising suitable circuits to eliminate ridiculous combinations. For example, no letter must occur more than three times in succession.'
,'Three? Surely you mean two.'
'Three is correct: I am afraid it would take too long to explain why, even if you understood our language.' "

Page 68

Into the Comet


"Pickett's fingers danced over the beads, sliding them up and down the wires with lightning speed. There were twelve wires in all, so that the abacus could handle numbers up to 999,999,999,999 - or could be divided into separate sections where several independent calculations could be carried out simultaneously.
'374072,' said Pickett, after an incredibly brief interval of time. 'Now see how long you take to do it, with pencil and paper.'
There was a much longer delay before Martens, who like most mathematicians was poor at arithmetic, called out '375072'. A hasty check soon confirmed that Martens had taken at least three times as long as Pickett to arrive at the wrong answer.
The atronomer's face was a study in mingled chagrin, astonishment, and curiosity.
'Where did you learn that trick?' he asked. 'I thought those things could only add and subtract.'
'Well - multiplication's only repeated addition, isn't it? All I did was to add 856 seven times in the unit column, three times in the tens column, and four times in the hundreds column. You do the same thing when you use pencil and paper. Of course, there are some short cuts, but if you think I'm fast, you should have seen my granduncle. He used to work in a Yokohama bank, and you couldn't see his fingers / Page 69 / when he was going at speed"

 

 

I

SAY

THREAD THAT THREAD

THREAD READ DEATH DEATH READ THREAD

THREAD R DEATH DEATH R THREAD

THREAD READ DEAR THREAD

 

 

THE NEW ELIZABETHAN

REFERENCE DICTIONARY

An up-to-date vocabulary of the living English language

Circa 1900

FOURTH EDITION

Page 1472

thread (thred) [A.-S. thraed, from thrawan, to THROW (cp. Dut. draad, G. draht, Icel. thrathr)], n. A slender cord consisting of two or more yarns doubled or twisted ; a single filament of cotton, silk, wool, etc., esp. Lisle thread ; anything resembling this ; a fine line of colour etc. ; a thin seam or vein ; the spiral on a screw ; (fig.) a continuous course (of life etc.). v.t. To pass a thread through the eye or aperture of ; to string (beads etc.) on a thread ; (fig.) to pick (one's way) or to go through an intricate or crowded place, etc. ; to streak (the hair) with grey etc. ; to cut a thread on (a screw). thread and thrum : Good and bad together, all alike. threadbare, a. Worn so that the thread is visible, having the nap worn off ; (fig.) worn, trite, hackneyed. threadbareness, n. thread-mark, n. A mark produced by coloured silk fibres in banknotes to prevent counterfeiting. thread-paper, n. Soft paper for wrapping up thread, thread-worm, n. A thread-like nematode worm, esp. one infesting the rectum of children. threader, n. threadlike, a. and adv. thready, a. threadiness, n.

 

 

THE NEW ELIZABETHAN

REFERENCE DICTIONARY

An up-to-date vocabulary of the living English language

FOURTH EDITION

Circa 1900

Page 1472

thread (thred) [A.-S. thraed, from thrawan, to THROW (cp. Dut. draad, G. draht, Icel. thrathr)], n. A slender cord consisting of two or more yarns doubled or twisted ; a single filament of cotton, silk, wool, etc., esp. Lisle thread ; anything resembling this ; a fine line of colour etc. ; a thin seam or vein ; the spiral on a screw ; (fig.) a continuous course (of life etc.). v.t. To pass a thread through the eye or aperture of ; to string (beads etc.) on a thread ; (fig.) to pick (one's way) or to go through an intricate or crowded place, etc. ; to streak (the hair) with grey etc. ; to cut a thread on (a screw). thread and thrum : Good and bad together, all alike. threadbare, a. Worn so that the thread is visible, having the nap worn off ; (fig.) worn, trite, hackneyed. threadbareness, n. thread-mark, n. A mark produced by coloured silk fibres in banknotes to prevent counterfeiting. thread-paper, n. Soft paper for wrapping up thread, thread-worm, n. A thread-like nematode worm, esp. one infesting the rectum of children. threader, n. threadlike, a. and adv. thready, a. threadiness, n.

 

 

lisle thread: lisle thread

A strong tightly twisted cotton thread (usually made of long-staple cotton) - lisle. Derived forms: lisle threads. Type of: cotton. Nearest ... www.wordwebonline.com/en/LISLETHREAD

 

 

Definition - of Lisle from Dictionary.net

Lisle thread, a hard twisted cotton thread, originally produced at Lisle. Source: Webster's Revised Unabridged Dictionary (1913) ... www.dictionary.net/lisle - 9k

 

 

CASSELL'S ENGLISH DICTIONARY

1974

Lisle thread (lil thred) [ town in France, now Lille], n, A fine, hard thread orig. made at Lille.

 

 

L
=
3
4
LIFE
32
23
5
H
=
8
7
HANGING
60
42
6
B
=
2
2
BY
27
9
9
A
=
1
1
A
1
1
1
T
=
2
6
THREAD
56
29
2
-
-
16
20
First Total
176
104
23
-
-
1+6
2+0
Add to Reduce
1+7+6
1+0+4
2+3
Q
-
7
2
Second Total
14
5
5
-
-
-
-
Reduce to Deduce
1+4
-
-
-
-
7
2
Essence of Number
5
5
5

 

 

-
THREAD
-
-
-
1
R
18
9
9
5
DEATH
38
20
2
6
THREAD
56
29
2

 

LIFE HANGING BY A THREAD

 

-
20
L
I
F
E
-
H
A
N
G
I
N
G
-
B
Y
-
A
-
T
H
R
E
A
D
-
-
-
-
-
--
-
-
-
-
44
-
-
9
-
-
-
8
-
5
-
9
5
-
-
-
-
-
-
-
-
8
-
-
-
-
+
=
44
4+4
=
8
=
8
=
8
62
-
-
9
-
-
-
8
-
14
-
9
14
-
-
-
-
-
-
-
-
8
-
-
-
-
+
=
62
6+2
=
8
=
8
=
8
-
20
L
I
F
E
-
H
A
N
G
I
N
G
-
B
Y
-
A
-
T
H
R
E
A
D
-
-
-
-
-
--
-
-
-
-
60
-
3
-
6
5
-
-
1
-
7
-
-
7
-
2
7
-
1
-
2
-
9
5
1
4
+
=
60
6+0
=
6
=
6
=
6
114
-
12
-
6
5
-
-
1
-
7
-
-
7
-
2
25
-
1
-
20
-
18
5
1
4
+
=
114
1+1+4
=
6
=
6
=
6
-
20
L
I
F
E
-
H
A
N
G
I
N
G
-
B
Y
-
A
-
T
H
R
E
A
D
-
-
-
-
-
--
-
-
-
-
176
-
12
9
6
5
-
8
1
14
7
9
14
7
-
2
25
-
1
-
20
8
18
5
1
4
+
=
176
1+7+6
=
14
1+4
5
=
5
104
-
3
9
6
5
-
8
1
5
7
9
5
7
-
2
7
-
1
-
2
8
9
5
1
4
+
=
104
1+0+4
=
5
=
5
=
5
-
20
L
I
F
E
-
H
A
N
G
I
N
G
-
B
Y
-
A
-
T
H
R
E
A
D
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
1
occurs
x
3
=
3
=
3
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
occurs
x
4
=
20
2+0
2
6
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
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
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
45
20
L
I
F
E
-
H
A
N
G
I
N
G
-
B
Y
-
A
-
T
H
R
E
A
D
-
-
45
-
-
20
-
104
-
41
4+5
2+0
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
2+0
-
1+0+4
-
4+1
9
2
L
I
F
E
-
H
A
N
G
I
N
G
-
B
Y
-
A
-
T
H
R
E
A
D
-
-
9
-
-
2
-
5
-
5
-
-
3
9
6
5
-
8
1
5
7
9
5
7
-
2
7
-
1
-
2
8
9
5
1
4
-
-
-
-
-
-
-
-
-
-
9
2
L
I
F
E
-
H
A
N
G
I
N
G
-
B
Y
-
A
-
T
H
R
E
A
D
-
-
9
-
-
2
-
5
-
5

 

 

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

 

 

I ME YOU I YOU ME I

ALL AND EVERYTHING EVERYTHING AND ALL

 

 

I

I = 9 9 = I

ME

M + E = 9 9 = M + E

MASS + ENERGY = 9 9 = MASS + ENERGY

MAGNETIC + FIELD = 9 9 = FIELD + MAGNETIC

POSITIVE + NEGATIVE = 9 9 = NEGATIVE + POSITIVE

LIGHT + DARK = 99 = DARK + LIGHT

99 = NAMES OF GOD GOD OF NAMES = 99

DIVINE LOVE IS 99 99 IS LOVE DIVINE

 

 

THE

ELCTRO MAGNETIC FIELD

 

-
23
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
6
-
-
-
-
5
-
-
9
-
-
-
9
-
-
-
+
=
37
3+7
=
10
1+0
1
=
1
-
-
-
8
-
-
-
-
-
-
-
-
15
-
-
-
-
14
-
-
9
-
-
-
9
-
-
-
+
=
55
5+5
=
10
1+0
1
=
1
-
23
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
5
3
5
3
2
9
-
-
4
1
7
-
5
2
-
3
-
6
-
5
3
4
+
=
74
7+4
=
11
1+1
2
=
2
-
-
20
-
5
-
5
12
5
3
20
18
-
-
13
1
7
-
5
20
-
3
-
6
-
5
12
4
+
=
164
1+6+4
=
11
1+1
2
=
2
-
23
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
5
12
5
3
20
18
15
-
13
1
7
14
5
20
9
3
-
6
9
5
12
4
+
=
219
2+1+9
=
12
1+2
3
=
3
-
-
2
8
5
-
5
3
5
3
2
9
6
-
4
1
7
5
5
2
9
3
-
6
9
5
3
4
+
=
111
1+1+1
=
3
=
3
=
3
-
23
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
3
=
6
=
6
3
-
-
-
-
-
-
3
-
3
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
3
occurs
x
4
=
12
1+2
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
2
=
8
=
8
5
-
-
-
5
-
5
-
5
-
-
-
-
-
-
-
-
5
5
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
6
=
30
3+0
3
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
--
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
45
23
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
45
-
-
23
-
111
-
48
4+5
-
-
-
-
-
--
3
-
3
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
4+5
-
-
2+3
-
1+1+1
-
4+8
9
23
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
9
-
-
5
-
3
-
12
-
2+3
-
-
5
-
5
-
5
-
-
-
-
-
-
-
-
5
5
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
1+2
9
5
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
9
-
-
5
-
3
-
3
-
-
2
8
5
-
5
3
5
3
2
9
6
-
4
1
7
5
5
2
9
3
-
6
9
5
3
4
-
-
-
-
-
--
-
-
-
-
9
5
T
H
E
-
E
L
E
C
T
R
O
-
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
9
-
-
5
-
3
-
3

 

 

-
15
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
5
-
-
9
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
-
-
-
-
15
-
-
-
14
-
-
9
-
+
=
38
3+8
=
11
1+1
2
=
2
-
15
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
-
-
-
-
-
-
-
-
-
-
5
3
5
3
2
9
-
4
1
7
-
5
2
-
3
+
=
49
4+9
=
13
1+3
4
=
4
-
-
5
12
5
3
20
18
-
13
1
7
-
5
20
-
3
+
=
112
1+1+2
=
4
=
4
=
4
-
15
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
-
-
-
-
-
-
-
-
-
-
5
12
5
3
20
18
15
13
1
7
14
5
20
9
3
+
=
150
1+5+0
=
6
=
6
=
6
-
-
5
3
5
3
2
9
6
4
1
7
5
5
2
9
3
+
=
69
6+9
=
15
1+5
6
=
6
-
15
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
3
-
3
-
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
5
-
-
-
-
-
-
-
5
5
-
-
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
8
15
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
37
-
-
15
-
69
-
42
-
-
5
-
5
-
-
-
-
-
-
-
5
5
-
-
-
-
-
3+7
-
-
1+5
-
6+9
-
4+2
8
15
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
10
-
-
6
-
15
-
6
-
1+5
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
1+0
-
-
-
-
1+5
-
-
8
6
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
1
-
-
6
-
6
-
6
-
-
5
3
5
3
2
9
6
4
1
7
5
5
2
9
3
-
-
-
-
-
-
-
-
-
-
8
6
E
L
E
C
T
R
O
M
A
G
N
E
T
I
C
-
-
1
-
-
6
-
6
-
6

 

 

15
ELECTROMAGNETIC
150
69
6
5
LIGHT
56
29
2
20
First Total
206
98
8
2+0
Add to Reduce
2+0+6
9+8
-
2
Second Total
8
17
8
-
Reduce to Deduce
-
1+7
-
2
Essence of Number
8
8
8

 

 

15
ELECTROMAGNETIC
150
69
6
6
LIGHTS
75
30
3
21
First Total
225
99
9
2+1
Add to Reduce
2+2+5
9+9
-
3
Second Total
9
18
9
-
Reduce to Deduce
-
1+8
-
3
Essence of Number
9
9
9

 

 

15
ELECTROMAGNETIC
150
69
6
7
GRAVITY
102
39
3
22
Add to Reduce
252
108
9
2+2
Reduce to Deduce
2+5+2
1+0+8
-
4
Essence of Number
9
9
9

 

 

8
MAGNETIC
72
36
9
4
POLE
48
21
3

 

 

5
NORTH
75
30
3
5
SOUTH
83
20
2

 

 

8
MAGNETIC
72
36
9
5
POLES
67
22
4

 

 

7
CRYSTAL
98
26
8
8
CRYSTALS
117
27
9

 

 

6
SPHERE
71
35
8
5
ROUND
72
27
9

 

 

5
ROUND
72
27
9
7
SPHERES
90
36
9

 

 

6
SPIRAL
75
30
3
5
WHIRL
70
34
7
10
CENTRIFUGE
108
54
9

 

 

-
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

 

 

R
=
9
-
3
RED
9
5
4
-
-
-
=
18
1+8
=
9
=
9
O
=
6
-
6
ORANGE
6
9
1
5
7
5
=
33
3+3
=
6
=
6
Y
=
7
-
6
YELLOW
7
5
3
3
6
5
=
29
2+9
=
11
1+1
2
G
=
7
-
5
GREEN
7
9
5
5
5
-
=
31
3+1
=
4
=
4
B
=
2
-
4
BLUE
2
3
3
5
-
-
=
13
1+3
=
4
=
4
I
=
9
-
6
INDIGO
9
5
4
9
7
6
=
40
4+0
=
4
=
4
V
=
4
-
6
VIOLET
4
9
6
3
5
2
=
29
2+9
=
11
1+1
2
-
-
44
-
40
Add
44
45
26
30
30
18
-
193
-
-
49
-
31
-
-
4+4
-
4+0
-
4+4
4+5
2+6
3+0
3+0
1+8
-
1+9+3
-
-
4+9
-
3+1
-
-
8
-
4
Reduce
8
9
8
3
3
9
-
13
-
-
13
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
1+3
-
-
1+3
-
-
-
-
8
-
4
Deduce
8
9
8
3
3
9
-
4
-
-
4
-
4

 

 

RED ORANGE YELLOW GREEN BLUE INDIGO VIOLET

954 691575 753365 79555 2335 954976 496352

RED ORANGE YELLOW GREEN BLUE INDIGO VIOLET

 

 

3
THE
33
15
6
7
RA-IN-BOW
82
37
1
5
LIGHT
56
29
2
15
First Total
171
81
9
1+5
Add to Reduce
1+7+1
8+1
-
6
Final Total
9
9
9
THE RA-IN-BOW LIGHT

 

 

3
RED
27
18
9
6
ORANGE
60
33
6
6
YELLOW
92
29
2
5
GREEN
49
31
4
4
BLUE
40
13
4
6
INDIGO
58
40
4
6
VIOLET
83
29
2
36
First Total
409
193
31
3+6
Add to Reduce
4+0+9
1+9+3
3+1
9
Second Total
13
13
4
8
THIRTEEN
99
NINE
NINE

 

 

R
=
9
-
3
RED
9
5
4
-
-
-
=
18
1+8
=
9
=
9
O
=
6
-
6
ORANGE
6
9
1
5
7
5
=
33
3+3
=
6
=
6
Y
=
7
-
6
YELLOW
7
5
3
3
6
5
=
29
2+9
=
11
1+1
2
G
=
7
-
5
GREEN
7
9
5
5
5
-
=
31
3+1
=
4
=
4
B
=
2
-
4
BLUE
2
3
3
5
-
-
=
13
1+3
=
4
=
4
I
=
9
-
6
INDIGO
9
5
4
9
7
6
=
40
4+0
=
4
=
4
V
=
4
-
6
VIOLET
4
9
6
3
5
2
=
29
2+9
=
11
1+1
2
-
-
44
-
36
Add
44
45
26
30
30
18
-
193
-
-
49
-
31
-
-
4+4
-
3+6
-
4+4
4+5
2+6
3+0
3+0
1+8
-
1+9+3
-
-
4+9
-
3+1
-
-
8
-
9
Reduce
8
9
8
3
3
9
-
13
-
-
13
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
1+3
-
-
1+3
-
-
-
-
8
-
9
Deduce
8
9
8
3
3
9
-
4
-
-
4
-
4

 

 

RED ORANGE YELLOW GREEN BLUE INDIGO VIOLET

 

7
R
O
Y
G
B
I
V
-
-
-
-
-
-
-
-
-
-
18
15
25
7
2
9
22
+
=
98
9+8
17
1+7
8
EIGHT
8
-
1+8
1+5
2+5
-
-
-
2+2
-
-
-
-
-
-
-
-
-
-
9
6
7
7
2
9
4
+
=
44
4+4
8
-
8
EIGHT
8
7
R
O
Y
G
B
I
V
-
-
-
-
-
-
-
-
-

 

 

-
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

 

 

R
=
9
3
RED
27
18
9

 

 

-
3
R
E
D
-
-
-
-
-
--
-
-
-
-
18
5
4
+
=
27
2+7
=
9
=
9
-
-
9
5
4
+
=
18
1+8
=
9
=
9
-
3
R
E
D
-
-
-
-
-
--
-
-
-
-
18
5
4
+
=
27
2+7
=
9
=
9
-
-
9
5
4
+
=
18
1+8
=
9
=
9
-
3
R
E
D
-
-
-
-
-
--
-
-
-
-
18
5
4
+
=
27
2+7
=
9
=
9
-
-
9
5
4
+
=
18
1+8
=
9
=
9
-
3
R
E
D
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
ONE
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
SEVEN
7
-
-
-
8
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
27
3
R
E
D
-
-
18
-
-
3
-
18
2+7
-
9
-
-
-
-
1+8
-
-
-
-
1+8
9
3
R
E
D
-
-
9
-
-
3
-
9
-
-
9
5
4
-
-
-
-
-
-
-
-
9
3
R
E
D
-
-
9
-
-
3
-
9

 

 

3
R
E
D
-
-
-
-
-
--
-
-
-
18
5
4
+
=
27
2+7
=
9
=
9
-
9
5
4
+
=
18
1+8
=
9
=
9
3
R
E
D
-
-
-
-
-
--
-
-
-
18
5
4
+
=
27
2+7
=
9
=
9
-
9
5
4
+
=
18
1+8
=
9
=
9
3
R
E
D
-
-
-
-
-
--
-
-
-
18
5
4
+
=
27
2+7
=
9
=
9
-
9
5
4
+
=
18
1+8
=
9
=
9
3
R
E
D
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
-
5
-
-
-
5
occurs
x
1
=
5
-
9
-
-
-
-
9
occurs
x
1
=
9
3
R
E
D
-
-
18
-
-
3
-
18
-
9
-
-
-
-
1+8
-
-
-
-
1+8
3
R
E
D
-
-
9
-
-
3
-
9
-
9
5
4
-
-
-
-
-
-
-
-
3
R
E
D
-
-
9
-
-
3
-
9

 

 

-
6
O
R
A
N
G
E
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
5
-
-
+
=
11
1+1
=
2
=
2
=
2
-
-
15
-
-
14
-
-
+
=
29
2+9
=
11
1+1
2
=
2
-
6
O
R
A
N
G
E
-
-
-
-
-
--
-
-
-
-
-
-
-
9
1
-
7
5
+
=
22
2+2
=
4
=
4
=
4
-
-
-
18
1
-
7
5
+
=
31
3+1
=
4
=
4
=
4
-
6
O
R
A
N
G
E
-
-
-
-
-
--
-
-
-
-
-
-
15
18
1
14
7
5
+
=
60
6+0
=
6
=
6
=
6
-
-
6
9
1
5
7
5
+
=
33
3+3
=
6
=
6
=
6
-
6
O
R
A
N
G
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
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
occurs
x
1
=
6
=
6
-
-
-
-
-
-
7
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
8
EIGHT
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
17
6
O
R
A
N
G
E
-
-
28
-
-
6
-
33
-
24
1+7
-
-
9
-
-
-
-
-
-
2+8
-
-
-
-
3+3
-
2+4
8
6
O
R
A
N
G
E
-
-
6
-
-
6
-
6
-
6
-
-
6
9
1
5
7
5
-
-
-
-
-
--
-
-
-
-
8
6
O
R
A
N
G
E
-
-
6
-
-
6
-
6
-
6

 

 

6
O
R
A
N
G
E
-
-
-
-
-
--
-
-
-
-
-
6
-
-
5
-
-
+
=
11
1+1
=
2
=
2
=
2
-
15
-
-
14
-
-
+
=
29
2+9
=
11
1+1
2
=
2
6
O
R
A
N
G
E
-
-
-
-
-
--
-
-
-
-
-
-
9
1
-
7
5
+
=
22
2+2
=
4
=
4
=
4
-
-
18
1
-
7
5
+
=
31
3+1
=
4
=
4
=
4
6
O
R
A
N
G
E
-
-
-
-
-
--
-
-
-
-
-
15
18
1
14
7
5
+
=
60
6+0
=
6
=
6
=
6
-
6
9
1
5
7
5
+
=
33
3+3
=
6
=
6
=
6
6
O
R
A
N
G
E
-
-
-
-
-
--
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
5
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
7
-
-
-
7
occurs
x
1
=
7
=
7
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
6
O
R
A
N
G
E
-
-
28
-
-
6
-
33
-
24
-
-
9
-
-
-
-
-
-
2+8
-
-
-
-
3+3
-
2+4
6
O
R
A
N
G
E
-
-
6
-
-
6
-
6
-
6
-
6
9
1
5
7
5
-
-
-
-
-
--
-
-
-
-
6
O
R
A
N
G
E
-
-
6
-
-
6
-
6
-
6

 

 

O
=
6
6
ORANGE
60
33
6

 

 

-
6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
=
-
-
-
-
-
-
6
-
+
=
6
-
=
6
=
6
=
6
-
`-
-
-
-
-
15
-
+
=
15
1+5
=
6
=
6
=
6
-
6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
=
-
-
7
5
3
3
-
5
+
=
23
2+3
=
5
=
5
=
5
-
`-
25
5
12
12
-
23
+
=
77
7+7
=
14
1+4
5
=
5
-
6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
=
-
`-
25
5
12
12
15
23
+
=
92
9+2
=
11
1+1
2
=
2
-
-
7
5
3
3
6
5
+
=
29
2+9
=
11
1+1
2
=
2
-
6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
3
3
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
--
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
24
6
Y
E
L
L
O
W
-
-
21
-
-
6
-
29
-
20
2+4
-
-
-
-
-
-
-
-
-
2+1
-
-
-
-
2+9
-
2+0
6
6
Y
E
L
L
O
W
-
-
3
-
-
6
-
11
-
2
-
-
7
5
3
3
6
5
-
-
-
-
-
-
-
1+1
-
-
6
6
Y
E
L
L
O
W
-
-
3
-
-
6
-
2
-
2

 

 

6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
=
-
-
-
-
-
6
-
+
=
6
-
=
6
=
6
=
6
`-
-
-
-
-
15
-
+
=
15
1+5
=
6
=
6
=
6
6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
=
-
7
5
3
3
-
5
+
=
23
2+3
=
5
=
5
=
5
`-
25
5
12
12
-
23
+
=
77
7+7
=
14
1+4
5
=
5
6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
=
`-
25
5
12
12
15
23
+
=
92
9+2
=
11
1+1
2
=
2
-
7
5
3
3
6
5
+
=
29
2+9
=
11
1+1
2
=
2
6
Y
E
L
L
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
--
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
6
Y
E
L
L
O
W
-
-
21
-
-
6
-
29
-
20
-
-
-
-
-
-
-
-
-
2+1
-
-
-
-
2+9
-
2+0
6
Y
E
L
L
O
W
-
-
3
-
-
6
-
11
-
2
-
7
5
3
3
6
5
-
-
-
-
-
-
-
1+1
-
-
6
Y
E
L
L
O
W
-
-
3
-
-
6
-
2
-
2

 

 

Y
=
7
6
YELLOW
92
29
2

 

 

-
5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
+
=
5
-
=
5
=
5
=
5
-
`-
-
-
-
-
14
+
=
14
1+4
=
5
=
5
=
5
-
5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
-
-
7
9
5
5
-
+
=
26
2+6
=
8
=
8
=
8
-
`-
7
18
14
5
-
+
=
35
3+5
=
8
=
8
=
8
-
5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
-
`-
7
18
14
5
14
+
=
49
4+9
=
13
1+3
4
=
4
-
-
7
9
5
5
5
+
=
31
3+1
=
4
=
4
=
4
-
5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
FOUR
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
occurs
x
1
=
9
=
9
24
5
G
R
E
E
N
-
-
21
-
-
5
-
31
-
22
2+4
-
-
-
5
5
5
-
-
2+1
-
-
-
-
3+1
-
2+2
6
5
G
R
E
E
N
-
-
3
-
-
5
-
4
-
4
-
-
7
9
5
5
5
-
-
-
-
-
-
-
-
-
-
6
5
G
R
E
E
N
-
-
3
-
-
5
-
4
-
4

 

 

5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
+
=
5
-
=
5
=
5
=
5
`-
-
-
-
-
14
+
=
14
1+4
=
5
=
5
=
5
5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
-
7
9
5
5
-
+
=
26
2+6
=
8
=
8
=
8
`-
7
18
14
5
-
+
=
35
3+5
=
8
=
8
=
8
5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
`-
7
18
14
5
14
+
=
49
4+9
=
13
1+3
4
=
4
-
7
9
5
5
5
+
=
31
3+1
=
4
=
4
=
4
5
G
R
E
E
N
-
-
-
-
-
-
-
-
-
-
-
-
-
5
5
5
-
-
5
occurs
x
3
=
15
1+5
6
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
5
G
R
E
E
N
-
-
21
-
-
5
-
31
-
22
-
-
-
5
5
5
-
-
2+1
-
-
-
-
3+1
-
2+2
5
G
R
E
E
N
-
-
3
-
-
5
-
4
-
4
-
7
9
5
5
5
-
-
-
-
-
-
-
-
-
-
5
G
R
E
E
N
-
-
3
-
-
5
-
4
-
4

 

 

G
=
7
5
GREEN
49
31
4

 

 

-
4
B
L
U
E
-
-
-
-
-
--
-
-
-
`-
2
12
21
5
+
=
40
4+0
=
4
=
4
-
-
2
3
3
5
+
=
13
1+3
=
4
=
4
-
4
B
L
U
E
-
-
-
-
-
--
-
-
-
`-
2
12
21
5
+
=
40
4+0
=
4
=
4
-
-
2
3
3
5
+
=
13
1+3
=
4
=
4
-
4
B
L
U
E
-
-
-
-
-
--
-
-
-
`-
2
12
21
5
+
=
40
4+0
=
4
=
4
-
-
2
3
3
5
+
=
13
1+3
=
4
=
4
-
4
B
L
U
E
-T
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
-
-
-
3
3
-
--
-
3
occurs
x
2
=
6
4
-
-
-
-
-
-
-
4
FOUR
1
-
-
-
-
-
-
-
-
5
--
-
5
occurs
x
1
=
5
6
-
-
-
-
-
-
-
6
SIX
6
-
-
-
7
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
9
-
-
-
-
-
-
-
9
NINE
9
-
-
-
35
4
B
L
U
E
-
-
10
-
-
4
-
13
3+5
-
-
-
-
-
-
-
1+0
-
-
-
-
1+3
8
4
B
L
U
E
-
-
1
-
-
4
-
4
-
-
2
3
3
5
-T
-
-
-
-
-
-
-
8
4
B
L
U
E
-
-
1
-
-
4
-
4

 

 

4
B
L
U
E
-
-
-
-
-
--
-
-
`-
2
12
21
5
+
=
40
4+0
=
4
=
4
-
2
3
3
5
+
=
13
1+3
=
4
=
4
4
B
L
U
E
-
-
-
-
-
--
-
-
`-
2
12
21
5
+
=
40
4+0
=
4
=
4
-
2
3
3
5
+
=
13
1+3
=
4
=
4
4
B
L
U
E
-
-
-
-
-
--
-
-
`-
2
12
21
5
+
=
40
4+0
=
4
=
4
-
2
3
3
5
+
=
13
1+3
=
4
=
4
4
B
L
U
E
-T
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
-
-
3
3
-
--
-
3
occurs
x
2
=
6
-
-
-
-
5
--
-
5
occurs
x
1
=
5
4
B
L
U
E
-
-
10
-
-
4
-
13
-
-
-
-
-
-
-
1+0
-
-
-
-
1+3
4
B
L
U
E
-
-
1
-
-
4
-
4
-
2
3
3
5
-T
-
-
-
-
-
-
-
4
B
L
U
E
-
-
1
-
-
4
-
4

 

 

B
=
2
4
BLUE
40
13
4

 

 

-
6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
9
-
6
+
=
29
2+9
=
11
1+1
2
=
2
-
-
9
14
-
9
-
15
+
=
47
4+7
=
11
1+1
2
=
2
-
6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
7
-
+
=
11
1+1
=
2
=
2
=
2
-
-
-
-
4
-
7
-
+
=
11
1+1
=
2
=
2
=
2
-
6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
-
-
9
14
4
9
7
15
+
=
58
5+8
=
13
1+3
4
=
4
-
-
9
5
4
9
7
6
+
=
40
4+0
=
4
=
4
=
4
-
6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
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
8
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
14
6
I
N
D
I
G
O
-
-
31
-
-
6
-
40
-
31
1+4
-
-
-
-
-
-
-
-
-
3+1
-
-
-
-
4+0
-
3+1
5
6
I
N
D
I
G
O
-
-
4
-
-
6
-
4
-
4
-
-
9
5
4
9
7
6
-
-
-
-
-
-
-
-
-
-
5
6
I
N
D
I
G
O
-
-
4
-
-
6
-
4
-
4

 

 

6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
-
9
5
-
9
-
6
+
=
29
2+9
=
11
1+1
2
=
2
-
9
14
-
9
-
15
+
=
47
4+7
=
11
1+1
2
=
2
6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
7
-
+
=
11
1+1
=
2
=
2
=
2
-
-
-
4
-
7
-
+
=
11
1+1
=
2
=
2
=
2
6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
-
9
14
4
9
7
15
+
=
58
5+8
=
13
1+3
4
=
4
-
9
5
4
9
7
6
+
=
40
4+0
=
4
=
4
=
4
6
I
N
D
I
G
O
-
-
-
-
-
-
-
-
-
-
-
-
-
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
6
I
N
D
I
G
O
-
-
31
-
-
6
-
40
-
31
-
-
-
-
-
-
-
-
-
3+1
-
-
-
-
4+0
-
3+1
6
I
N
D
I
G
O
-
-
4
-
-
6
-
4
-
4
-
9
5
4
9
7
6
-
-
-
-
-
-
-
-
-
-
6
I
N
D
I
G
O
-
-
4
-
-
6
-
4
-
4

 

 

I
=
9
6
INDIGO
58
40
4

 

 

-
6
V
I
O
L
E
T
-
-
-
-
-
--
-
-
-
-
-
9
6
-
-
-
+
=
15
1+5
=
6
=
6
-
-
-
9
15
-
-
-
+
=
24
2+4
=
6
=
6
-
6
V
I
O
L
E
T
-
-
-
-
-
--
-
-
-
-
4
-
-
3
5
2
+
=
14
1+4
=
5
=
5
-
-
22
-
-
12
5
20
+
=
59
5+9
=
14
1+4
5
-
6
V
I
O
L
E
T
-
-
-
-
-
--
-
-
-
-
22
9
15
12
5
20
+
=
83
8+3
=
11
1+1
2
-
-
4
9
6
3
5
2
+
=
29
2+9
=
11
1+1
2
-
6
V
I
O
L
E
T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
ONE
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
SEVEN
7
-
-
-
8
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
16
6
V
I
O
L
E
T
-
-
29
-
-
6
-
29
1+6
-
-
9
-
-
-
-
-
-
2+9
-
-
-
-
2+9
7
6
V
I
O
L
E
T
-
-
11
-
-
6
-
11
-
-
4
9
6
3
5
2
-
-
1+1
-
-
-
-
1+1
7
6
V
I
O
L
E
T
-
-
2
-
-
6
-
2

 

 

6
V
I
O
L
E
T
-
-
-
-
-
--
-
-
-
-
9
6
-
-
-
+
=
15
1+5
=
6
=
6
-
-
9
15
-
-
-
+
=
24
2+4
=
6
=
6
6
V
I
O
L
E
T
-
-
-
-
-
--
-
-
-
4
-
-
3
5
2
+
=
14
1+4
=
5
=
5
-
22
-
-
12
5
20
+
=
59
5+9
=
14
1+4
5
6
V
I
O
L
E
T
-
-
-
-
-
--
-
-
-
22
9
15
12
5
20
+
=
83
8+3
=
11
1+1
2
-
4
9
6
3
5
2
+
=
29
2+9
=
11
1+1
2
6
V
I
O
L
E
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
6
V
I
O
L
E
T
-
-
29
-
-
6
-
29
-
-
9
-
-
-
-
-
-
2+9
-
-
-
-
2+9
6
V
I
O
L
E
T
-
-
11
-
-
6
-
11
-
4
9
6
3
5
2
-
-
1+1
-
-
-
-
1+1
6
V
I
O
L
E
T
-
-
2
-
-
6
-
2

 

 

V
=
4
6
VIOLET
83
29
2

 

 

-
RAINBOW
-
-
-
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
2+8
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

-
BE-A-RAINBOW
-
-
-
-
BE
7
7
7
-
A
1
1
1
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
9
BE-A-RAINBOW
90
45
36
-
-
9+0
4+5
3+6
9
BE-A-RAINBOW
9
9
9

 

 

1
B-RAINBOW
-
-
-
1
B
2
2
2
1
R
18
9
9
1
A
1
1
1
1
I
9
9
9
4
N+B+O+W
54
18
9
-
B-RAINBOW
-
-
-

 

 

-
BRAIN+BODY
-
-
-
-
B
2
2
2
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N
14
5
5
-
BODY
46
19
1
9
BRAIN+BODY
90
45
27
-
-
9+0
4+5
2+7
9
BRAIN+BODY
9
9
9

 

 

-
HEAD+BRAIN+BODY
-
-
-
4
HEAD
18
18
9
5
BRAIN
44
26
8
4
BODY
46
19
1
13
HEAD+BRAIN+BODY
108
63
18
1+3
-
1+0+8
6+3
1+8
4
HEAD+BRAIN+BODY
9
9
9

 

 

-
RAINBOW
-
-
-
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
2+8
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

-
R-IN-A-BOW
-
-
-
-
R
18
9
9
-
IN
1
1
1
-
A
1
1
1
-
B+O+W
40
13
4
7
R-IN-A-BOW
82
37
28
-
-
8+2
3+7
2+8
7
R-IN-A-BOW
10
10
10
-
-
1+0
1+0
1+0
7
R-IN-A-BOW
1
1
1

 

 

-
RA-IN-BOW
-
-
-
-
R+A
19
10
1
-
I+N
23
14
5
-
B+O+W
40
13
4
7
RA-IN-BOW
82
37
28
-
-
8+2
3+7
2+8
7
RA-IN-BOW
10
10
10
-
-
1+0
1+0
1+0
7
RA-IN-BOW
1
1
1

 

 

--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
36
3+6
=
9
=
9
=
9
-
`-
-
-
-
9
14
-
-
15
-
+
=
81
8+1
=
9
=
9
=
9
--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
-
`-
18
1
-
-
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
--
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
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
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
=
37
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

 

HURRAH FOR RAH FOR RAH HURRAH

 

7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
36
3+6
=
9
=
9
=
9
`-
-
-
-
9
14
-
-
15
-
+
=
81
8+1
=
9
=
9
=
9
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
`-
18
1
-
-
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
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
=
37
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

 

 

--
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
5
-
6
-
+
=
36
3+6
=
9
=
9
=
9
-
`-
-
-
9
14
-
15
-
+
=
81
8+1
=
9
=
9
=
9
--
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
9
1
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
-
`-
18
1
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
--
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
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
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
=
37
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
-
+
=
36
3+6
=
9
=
9
=
9
`-
-
-
9
14
-
15
-
+
=
81
8+1
=
9
=
9
=
9
7
R
A
I
N
B
O
W
-
-
-
-
-
--
-
-
-
-
-
9
1
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
`-
18
1
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
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
=
37
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

 

 

-
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 RISING IS THE LIGHT

 

 

T
=
2
-
3
THE
33
15
6
P
=
7
-
6
PEOPLE
69
33
6
T
=
2
-
4
THAT
49
13
4
W
=
5
-
6
WALKED
56
20
2
I
=
9
-
2
IN
23
14
5
D
=
4
-
8
DARKNESS
91
28
1
H
=
8
-
4
HAVE
36
18
9
S
=
1
-
4
SEEN
43
16
7
A
=
1
-
1
A
1
1
1
G
=
7
-
5
GREAT
51
24
6
L
=
3
-
5
LIGHT
56
29
2
-
-
49
4
48
First Total
508
211
49
-
-
4+9
-
4+8
Add to Reduce
5+0+8
2+1+1
4+9
Q
-
13
-
12
Second Total
13
4
13
-
-
1+3
-
1+2
Reduce to Deduce
1+3
-
1+3
-
-
4
4
3
Essence of Number
4
4
4

 

 

T
=
2
-
4
THEY
58
22
4
T
=
2
-
4
THAT
49
13
4
D
=
4
-
5
DWELL
56
20
23
T
=
2
-
2
IN
23
14
5
T
=
2
-
3
THE
33
15
6
L
=
3
-
4
LAND
31
13
4
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
THE
33
15
6
S
=
1
-
6
SHADOW
70
25
7
O
=
6
-
2
OF
21
12
3
D
=
4
-
5
DEATH
38
20
2
U
=
3
3
4
UPON
66
21
3
T
=
2
4
4
THEM
46
19
1
H
=
8
4
4
HATH
37
19
1
T
=
2
3
3
THE
33
15
6
L
=
3
4
5
LIGHT
56
29
2
S
=
1
4
6
SHINED
59
32
5
-
-
60
4
66
First Total
730
316
64
-
-
6+0
-
6+6
Add to Reduce
7+3+0
3+1+6
6+4
Q
-
6
-
12
Second Total
10
10
10
-
-
-
-
1+2
Reduce to Deduce
1+0
1+0
1+0
-
-
6
4
3
Essence of Number
1
1
1

 

 

T
=
2
-
3
THE
33
15
6
P
=
7
-
6
PEOPLE
69
33
6
T
=
2
-
4
THAT
49
13
4
W
=
5
-
6
WALKED
56
20
2
I
=
9
-
2
IN
23
14
5
D
=
4
-
8
DARKNESS
91
28
1
H
=
8
-
4
HAVE
36
18
9
S
=
1
-
4
SEEN
43
16
7
A
=
1
-
1
A
1
1
1
G
=
7
-
5
GREAT
51
24
6
L
=
3
-
5
LIGHT
56
29
2
T
=
2
-
4
THEY
58
22
4
T
=
2
-
4
THAT
49
13
4
D
=
4
-
5
DWELL
56
20
23
T
=
2
-
2
IN
23
14
5
T
=
2
-
3
THE
33
15
6
L
=
3
-
4
LAND
31
13
4
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
THE
33
15
6
S
=
1
-
6
SHADOW
70
25
7
O
=
6
-
2
OF
21
12
3
D
=
4
-
5
DEATH
38
20
2
U
=
3
3
4
UPON
66
21
3
T
=
2
4
4
THEM
46
19
1
H
=
8
4
4
HATH
37
19
1
T
=
2
3
3
THE
33
15
6
L
=
3
4
5
LIGHT
56
29
2
S
=
1
4
6
SHINED
59
32
5
-
-
109
4
114
First Total
1238
527
113
-
-
1+0+9
-
1+1+4
Add to Reduce
1+2+3+8
5+2+7
1+1+3
Q
-
10
-
6
Second Total
14
14
5
-
-
1+0
-
-
Reduce to Deduce
1+4
1+4
-
-
-
1
4
6
Essence of Number
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

 

 

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
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
4
15
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
5
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
-
-
-
-
-
-
-
-
--
-
-
1
-
-
-
-
-
-
-
-
-
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

 

 

5
LIGHT
56
29
2
4
HEAT
34
16
7
9
LIGHT HEAT
90
45
9
-
-
9+0
4+5
-
9
LIGHT HEAT
9
9
9
-
INCANDESCENCE
-
-
-
-
I
9
9
9
-
NCA
18
9
9
-
ND
18
9
9
-
ESC
27
9
9
-
ENCE
27
18
9
13
INCANDESCENCE
99
54
45
Add to Reduce
9+9
5+4
4+5
13
INCANDESCENCE
18
9
9
-
-
1+8
-
-
13
INCANDESCENCE
9
9
9
-
-
-
-
-
-
-
-
-
-
-
GODS
45
18
9
-
LOVE
54
18
9
-
DIVINE
63
36
9
-
THOUGHT
99
36
9
1
I
9
9
9
2
ME
18
9
9
3
THE
33
15
6
7
RA-IN-BOW
82
37
1
5
LIGHT
56
29
2
15
First Total
171
81
9
-
Add to Reduce
1+7+1
8+1
7+2
-
-
9
9
9
-
-
-
-
-
-
-
-
-
-
8
GODS LOVE
99
36
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
-
-
-
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
2+8
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

-
R-IN-A-BOW
-
-
-
-
R
18
9
9
-
IN
1
1
1
-
A
1
1
1
-
B+O+W
40
13
4
7
R-IN-A-BOW
82
37
28
-
-
8+2
3+7
2+8
7
R-IN-A-BOW
10
10
10
-
-
1+0
1+0
1+0
7
R-IN-A-BOW
1
1
1

 

 

-
RA-IN-BOW
-
-
-
-
R+A
19
10
1
-
I+N
23
14
5
-
B+O+W
40
13
4
7
RA-IN-BOW
82
37
28
-
-
8+2
3+7
2+8
7
RA-IN-BOW
10
10
10
-
-
1+0
1+0
1+0
7
RA-IN-BOW
1
1
1

 

 

-
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

 

RED ORANGE YELLOW GREEN BLUE INDIGO VIOLET

 

3
RED
27
18
9
6
ORANGE
60
33
6
6
YELLOW
92
29
2
5
GREEN
49
31
4
4
BLUE
40
13
4
6
INDIGO
58
40
4
6
VIOLET
83
29
2
36
First Total
409
193
31
3+6
Add to Reduce
4+0+9
1+9+3
3+1
9
Second Total
13
13
4
8
THIRTEEN
99
NINE
NINE

 

RED ORANGE YELLOW GREEN BLUE INDIGO VIOLET

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
RED
-
-
-
-
-
-
-
-
-
-
-
-
-
R
=
9
1
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
D
=
4
3
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
18
-
3
RED
27
18
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ORANGE
-
-
-
-
-
-
-
-
-
-
-
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
A
=
1
6
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
9
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
33
-
6
ORANGE
60
33
33
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
YELLOW
-
-
-
-
-
-
-
-
-
-
-
-
-
Y
=
7
10
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
13
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
O
=
6
14
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
W
=
5
15
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
29
-
6
YELLOW
92
29
29
-
-
-
-
-
-
-
-
-
-
-
-
-
GREEN
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
16
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
R
=
9
17
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
18
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
19
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
20
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
31
-
5
GREEN
49
31
31
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
BLUE
-
-
-
-
-
-
-
-
-
-
-
-
-
B
=
2
21
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
22
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
U
=
3
23
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
24
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
13
-
4
BLUE
40
13
13
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
INDIGO
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
25
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
D
=
4
27
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
28
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
29
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
30
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
40
-
6
INDIGO
58
40
40
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
VIOLET
-
-
-
-
-
-
-
-
-
-
-
-
-
V
=
4
31
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
32
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
33
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
L
=
3
34
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
35
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
36
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
-
-
29
-
6
VIOLET
83
29
29
-
-
-
-
-
-
-
-
-
-
-
-
67
-
36
First Total
409
193
31
-
1
4
15
12
55
24
28
8
54
6+7
-
3+6
Add to Reduce
4+0+9
1+9+3
3+1
-
-
-
1+5
1+2
5+5
2+4
2+8
-
5+4
-
-
13
-
9
Second Total
13
13
4
-
1
4
6
3
10
6
10
8
9
1+3
-
-
Reduce to Deduce
1+3
1+3
-
-
-
-
-
-
1+0
-
1+0
-
-
-
-
4
-
9
Essence of Number
4
4
4
-
1
4
6
3
1
6
1
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
THIRTEEN
99
NINE
NINE
-
-
-
-
-
-
-
-
-
-

 

RED ORANGE YELLOW GREEN BLUE INDIGO VIOLET

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
R
=
9
1
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
D
=
4
3
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
A
=
1
6
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
E
=
5
9
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
Y
=
7
10
1
Y
25
7
7
-
-
-
-
-
-
-
7
8
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
13
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
O
=
6
14
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
W
=
5
15
1
W
23
5
5
-
-
-
-
-
5
-
-
8
-
G
=
7
16
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
R
=
9
17
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
E
=
5
18
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
19
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
N
=
5
20
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
B
=
2
21
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
22
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
U
=
3
23
1
U
21
3
3
-
-
-
3
-
-
-
-
8
-
E
=
5
24
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
I
=
9
25
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
D
=
4
27
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
I
=
9
28
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
G
=
7
29
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
O
=
6
30
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
V
=
4
31
1
V
22
4
4
-
-
-
-
4
-
-
-
8
-
I
=
9
32
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
O
=
6
33
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
L
=
3
34
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
E
=
5
35
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
T
=
2
36
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
67
-
36
First Total
409
193
31
-
1
4
15
12
55
24
28
8
54
6+7
-
3+6
Add to Reduce
4+0+9
1+9+3
3+1
-
-
-
1+5
1+2
5+5
2+4
2+8
-
5+4
-
-
13
-
9
Second Total
13
13
4
-
1
4
6
3
10
6
10
8
9
1+3
-
-
Reduce to Deduce
1+3
1+3
-
-
-
-
-
-
1+0
-
1+0
-
-
-
-
4
-
9
Essence of Number
4
4
4
-
1
4
6
3
1
6
1
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
THIRTEEN
99
NINE
NINE
-
-
-
-
-
-
-
-
-
-

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
6
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
B
=
2
21
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
T
=
2
36
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
13
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
22
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
U
=
3
23
1
U
21
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
34
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
D
=
4
3
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
D
=
4
27
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
V
=
4
31
1
V
22
4
4
-
-
-
-
4
-
-
-
8
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
9
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
W
=
5
15
1
W
23
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
18
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
19
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
N
=
5
20
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
24
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
35
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
14
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
30
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
33
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
Y
=
7
10
1
Y
25
7
7
-
-
-
-
-
-
-
7
8
-
G
=
7
16
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
G
=
7
29
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
R
=
9
1
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
R
=
9
17
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
I
=
9
25
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
I
=
9
28
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
I
=
9
32
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
67
-
36
First Total
409
193
31
-
1
4
15
12
55
24
28
8
54
6+7
-
3+6
Add to Reduce
4+0+9
1+9+3
3+1
-
-
-
1+5
1+2
5+5
2+4
2+8
-
5+4
-
-
13
-
9
Second Total
13
13
4
-
1
4
6
3
10
6
10
8
9
1+3
-
-
Reduce to Deduce
1+3
1+3
-
-
-
-
-
-
1+0
-
1+0
-
-
-
-
4
-
9
Essence of Number
4
4
4
-
1
4
6
3
1
6
1
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
8
THIRTEEN
99
NINE
NINE
-
-
-
-
-
-
-
-
-
-

 

RED ORANGE YELLOW GREEN BLUE INDIGO VIOLET

 

WHITE E WITH E WITH E WHITE

 

SUN = 54 = SUN

SUN = 18 = SUN

SUN = 9 = SUN

 

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
-
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

 

 

-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
9
5
-
6
-
-
-
6
-
-
5
-
5
-
+
=
44
4+4
=
8
-
8
=
8
-
-
-
8
-
-
-
-
9
14
-
15
-
-
-
15
-
-
14
-
14
-
+
=
89
8+9
=
17
1+7
8
=
8
-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
-
9
1
-
-
2
-
5
-
3
-
4
5
-
1
-
2
+
=
39
3+9
=
12
1+2
3
=
3
-
-
20
-
5
-
18
1
-
-
2
-
23
-
3
-
22
5
-
1
-
20
+
=
120
1+2+0
=
3
1+4
3
=
3
-
 18
T
H
E
--
R
A
I
N
B
O
W
--
C
O
V
E
N
A
N
T
-
-
-
-
-
--
-
-
-
-
--
-
20
8
5
-
18
1
9
14
2
15
23
-
3
15
22
5
14
1
14
20
+
=
209
2+0+9
=
11
1+1
2
=
2
-
-
2
8
5
-
9
1
9
5
2
6
5
-
3
6
4
5
5
1
5
2
+
=
83
8+3
=
11
1+2
2
=
2
-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
5
5
-
5
-
-
-
5
occurs
x
6
=
30
3+0
3
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
7
SEVEN
--
--
--
--
--
--
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
38
-
-
18
-
83
-
38
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
5
5
-
5
-
-
-
3+8
-
-
1+8
-
8+3
-
3+8
7
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
11
-
-
9
-
11
-
11
-
1+8
2
8
5
-
9
1
9
5
2
6
5
-
3
6
4
5
5
1
5
2
-
-
-
-
-
-
-
1+1
-
1+1
7
9
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
2
-
-
9
-
2
-
2

 

 

A
T
U
M
-
R
A
-
A
R
-
M
U
T
A
1
20
21
13
-
18
1
-
1
18
-
13
21
20
1
1
2
3
4
-
9
1
-
1
9
-
4
3
2
1
A
T
U
M
-
R
A
-
A
R
-
M
U
T
A
1
-
-
-
-
-
1
-
1
-
-
-
-
-
1
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
3
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
4
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
A
T
U
M
-
R
A
-
A
R
-
M
U
T
A

 

 

-
-
-
-
9
-
-
-
9
-
-
-
-
-
-
-
4
-
-
-
-
-
4
-
-
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
2
-
-
-
-
-
-
-
-
-
2
-
1
-
-
-
-
1
-
1
-
-
-
-
1
A
T
U
M
R
A
-
A
R
M
U
T
A
1
20
21
13
18
1
-
1
18
13
21
20
1
1
2
3
4
9
1
-
1
9
4
3
2
1
A
T
U
M
R
A
-
A
R
M
U
T
A
1
2
3
4
9
1
-
1
9
4
3
2
1
A
T
U
M
R
A
-
A
R
M
U
T
A

 

 

-
-
-
4
4
-
-
-
-
-
3
-
-
3
-
-
-
2
-
-
-
-
2
-
1
-
-
-
-
-
-
1
A
T
U
M
M
U
T
A
1
20
21
13
13
21
20
1
1
2
3
4
4
3
2
1
A
T
U
M
M
U
T
A
1
2
3
4
4
3
2
1
A
T
U
M
M
U
T
A

 

 

3
THE
33
15
6
4
PATH
45
18
9
2
OF
21
12
3
4
PTAH
45
18
9
13
Add to Reduce
144
63
27
1+3
Reduce to Deduce
1+4+4
6+3
2+7
4
Essence of Number
9
9
9

 

 

9
PARTICLES
103
40
4
2
OF
21
12
3
5
LIGHT
56
29
2
16
Add to Reduce
90
81
9
1+6
Reduce to Deduce
9+0
8+1
-
7
Essence of Number
9
9
9

 

 

5
LIGHT
56
29
2
6
QUANTA
74
20
2

 

 

-
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
9
5
-
-
5
-
-
1
-
-
5
-
-
+
=
25
2+5
=
7
=
7
=
7
-
-
9
14
-
-
14
-
-
19
-
-
14
-
-
+
=
70
7+0
=
7
=
7
=
7
-
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
3
1
-
4
5
-
3
5
-
3
5
+
=
29
2+9
=
11
1+1
2
=
2
-
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
9
14
3
1
14
4
5
19
3
5
14
3
5
+
=
99
9+9
=
18
1+8
9
=
9
-
-
9
5
3
1
5
4
5
1
3
5
5
3
5
+
=
54
5+4
=
9
=
9
=
9
-
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
-
-
3
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
-
5
-
5
-
-
5
5
-
5
-
-
5
occurs
x
6
=
30
3+0
3
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
23
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
22
-
-
13
-
54
-
27
2+3
-
-
5
-
-
5
-
5
-
-
5
5
-
5
-
-
2+2
-
-
1+3
-
5+4
-
2+7
5
4
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
4
-
-
4
-
9
-
9
-
-
9
5
3
1
5
4
5
1
3
5
5
3
5
-
-
-
-
-
-
-
-
-
-
5
4
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
4
-
-
4
-
9
-
9

 

 

13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
9
5
-
-
5
-
-
1
-
-
5
-
-
+
=
25
2+5
=
7
=
7
=
7
-
9
14
-
-
14
-
-
19
-
-
14
-
-
+
=
70
7+0
=
7
=
7
=
7
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
-
3
1
-
4
5
-
3
5
-
3
5
+
=
29
2+9
=
11
1+1
2
=
2
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
9
14
3
1
14
4
5
19
3
5
14
3
5
+
=
99
9+9
=
18
1+8
9
=
9
-
9
5
3
1
5
4
5
1
3
5
5
3
5
+
=
54
5+4
=
9
=
9
=
9
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
3
-
-
-
-
-
3
-
-
3
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
5
-
5
-
-
5
5
-
5
-
-
5
occurs
x
6
=
30
3+0
3
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
13
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
22
-
-
13
-
54
-
27
-
-
5
-
-
5
-
5
-
-
5
5
-
5
-
-
2+2
-
-
1+3
-
5+4
-
2+7
4
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
4
-
-
4
-
9
-
9
-
9
5
3
1
5
4
5
1
3
5
5
3
5
-
-
-
-
-
-
-
-
-
-
4
I
N
C
A
N
D
E
S
C
E
N
C
E
-
-
4
-
-
4
-
9
-
9

 

 

15
THE PYRAMID TEXTS
19
10
1
N
THE
33
15
6
-
PYRAMID
86
41
5
-
TEXTS
88
25
7

15
THE PYRAMID TEXTS
207
81
18
-
-
2+0+7
8+1
1+8

15
THE PYRAMID TEXTS
9
9
9

 

 

-
SAQQARA
-
-
-
1
S
19
10
1
2
AQ
18
9
9
2
QA
18
9
9
1
R
18
9
9
1
A
1
1
1
7
SAQQARA
-
-
-

 

 

-
SAQQARA
-
-
-
1
S
19
10
1
2
AQ
18
9
9
2
QA
18
9
9
1
R
18
9
9
1
A
1
1
1
7
SAQQARA
74
38
29
-
-
7+4
3+8
2+9
7
SAQQARA
11
11
11
-
-
1+1
1+1
-
7
SAQQARA
2
2
2

 

THISISTHESCENEOFTHESEENUNSEENTHEUNSEENSEENOFTHESCENEUNSEENTHISISTHESCENE

 

3
THE
33
15
6
5
GREAT
51
24
6
7
PYRAMID
86
41
5
2
OF
21
12
3
4
GIZA
43
25
7
21
Add to Reduce
234
117
27
2+1
Reduce to Deduce
2+3+4
1+1+7
2+7
3
Essence of Number
9
9
9

 

 

THE HIGH GOD IN THE AGE OF COFFIN TEXTS

I am Atum, the creator of the Eldest Gods,

I am he who gave birth to Shu,

I am that great He-She,

I am he who did what seemed good to him,

I took my space in the place of my will,

Mine is the space of those who move along

like those two serpentine circles.

'Coffin Texts,' I, 161: ff)

Myth and Symbol in Ancient Egypt

Translated by R.T. Bundle Clark, 1959 Page 80

 

 

A
T
U
M
-
R
A
-
A
R
-
M
U
T
A
1
20
21
13
-
18
1
-
1
18
-
13
21
20
1
1
2
3
4
-
9
1
-
1
9
-
4
3
2
1
A
T
U
M
-
R
A
-
A
R
-
M
U
T
A
1
-
-
-
-
-
1
-
1
-
-
-
-
-
1
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
3
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
4
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
A
T
U
M
-
R
A
-
A
R
-
M
U
T
A

 

 

-
-
-
-
9
-
-
-
9
-
-
-
-
-
-
-
4
-
-
-
-
-
4
-
-
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
2
-
-
-
-
-
-
-
-
-
2
-
1
-
-
-
-
1
-
1
-
-
-
-
1
A
T
U
M
R
A
-
A
R
M
U
T
A
1
20
21
13
18
1
-
1
18
13
21
20
1
1
2
3
4
9
1
-
1
9
4
3
2
1
A
T
U
M
R
A
-
A
R
M
U
T
A
1
2
3
4
9
1
-
1
9
4
3
2
1
A
T
U
M
R
A
-
A
R
M
U
T
A

 

 

-
-
-
4
4
-
-
-
-
-
3
-
-
3
-
-
-
2
-
-
-
-
2
-
1
-
-
-
-
-
-
1
A
T
U
M
M
U
T
A
1
20
21
13
13
21
20
1
1
2
3
4
4
3
2
1
A
T
U
M
M
U
T
A
1
2
3
4
4
3
2
1
A
T
U
M
M
U
T
A

 

 

ATUM

Atum (or Tem or Tum) was an early god of Heliopolis, and a predynastic sun-deity. The Heliopolitan theologians interpreted his name to mean the "complete one." A reference to their belief that Atum created himself out of the waters of Nun, either through the effort of his own will power or by uttering his own name, which was the power of the spoken word. He also was called Neb-er-djer, "Lord to the Limit" or Universal God.

http://www.themystica.com/mythical-folk/articles/atum.html

 

 

4
Z
E
U
S
-
-
-
-
-
--
-
-
-
8
-
-
1
+
=
9
-
=
9
=
9
-
26
-
-
19
+
=
45
4+5
=
9
=
9
4
Z
E
U
S
-
-
-
-
-
--
-
-
-
-
5
3
-
+
=
8
-
=
8
=
8
-
-
5
21
-
+
=
26
2+6
=
8
=
8
4
Z
E
U
S
-
-
-
-
-
--
-
-
-
26
5
21
19
+
=
71
7+1
=
8
=
8
-
8
5
3
1
+
=
17
1+7
=
8
=
8
4
Z
E
U
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
8
-
-
-
-
-
8
occurs
x
1
=
8
4
Z
E
U
S
-
-
17
-
-
4
-
17
-
8
-
-
1
-
-
1+7
-
-
-
-
1+7
4
Z
E
U
S
-
-
8
-
-
4
-
8

 

THE UPSIDE DOWN OF THE DOWNSIDE UP

 

7
H
I
N
O
S
X
Z
-
-
-
-
-
--
-
8
9
5
6
1
6
8
+
=
43
4+3
=
7
-
8
9
14
15
19
24
26
+
=
115
1+1+5
=
7
7
H
I
N
O
S
X
Z
-T
-
-
-
-
-

 

 

6
SPHINX
-
-
-
1
S
19
10
1
7
PHOENIX
-
-
-
2
OE
11
11
2
-
PHOENIX
-
-
-
5
PHNIX
71
35
8
5
PHINX
71
35
8
-
SPHINX
-
-
-
1
I
9
9
9
4
HINX
55
35
8
3
HNX
46
19
1
4
HNIX
55
35
8
1
I
9
9
9
-
PHOENIX
-
-
-
-
-
-
-
-
-
-
-
-
-
7
PHOENIX
91
46
1
6
SPHINX
90
36
9
7
HINOSXZ
115
43
7

 

ABCDEFGHIJKLMNOPQRSTUVWXYZ

HINOSXZ

ZXSONIH

ZYXWVUTSRQPONMLKJIHGFEDCBA

 

7
PHOENIX
91
46
1
6
SPHINX
90
36
9
7
HINOSXZ
115
43
7

 

 

-
GOD + SATAN
-
-
-
3
GOD
26
17
8
5
SATAN
55
9
9
8
SATAN + GOD
81
45
45
-
-
8+1
4+5
4+5
-
-
-
-
-
10
NAMES OF GOD
99
45
9

 

 

7
NINE
42
24
6
6
NINE
42
24
6
7
NINE
42
24
6

 

 

-
15
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
5
-
6
-
-
-
6
-
-
5
-
5
-
+
=
36
3+6
=
9
=
9
=
9
-
`-
-
-
9
14
-
15
-
-
-
15
-
-
14
-
14
-
+
=
81
8+1
=
9
=
9
=
9
-
15
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
--
-
-
-
-
-
-
9
1
-
-
2
-
5
-
3
-
4
5
-
1
-
2
+
=
32
3+2
=
5
=
5
=
5
-
`-
18
1
-
-
2
-
23
-
3
-
22
5
-
1
-
20
+
=
85
8+5
=
14
1+4
5
=
5
-
15
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
--
-
-
-
-
-
`-
18
1
9
14
2
15
23
-
3
15
22
5
14
1
14
20
+
=
176
1+7+6
=
14
1+4
5
=
5
-
-
9
1
9
5
2
6
5
-
3
6
4
5
5
1
5
2
+
=
68
6+8
=
14
1+4
5
=
5
-
15
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
4
=
4
-
-
-
-
-
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
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
15
15
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
30
-
-
15
-
68
-
32
1+5
1+5
-
-
-
5
-
-
5
-
-
-
-
5
5
-
5
-
-
-
3+0
-
-
1+5
-
6+8
-
3+2
6
6
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
3
-
-
6
-
14
-
5
-
-
9
1
9
5
2
6
5
-
3
6
4
5
5
1
5
2
-
-
-
-
-
-
-
1+4
-
-
6
6
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
3
-
-
6
-
5
-
5

 

 

-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
9
5
-
6
-
-
-
6
-
-
5
-
5
-
+
=
44
4+4
=
8
-
8
=
8
-
-
-
8
-
-
-
-
9
14
-
15
-
-
-
15
-
-
14
-
14
-
+
=
89
8+9
=
17
1+7
8
=
8
-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
9
1
-
-
2
-
5
-
3
-
4
5
-
1
-
2
+
=
39
3+9
=
12
1+2
3
=
3
-
-
20
-
5
-
18
1
-
-
2
-
23
-
3
-
22
5
-
1
-
20
+
=
120
1+2+0
=
3
1+4
3
=
3
-
 18
T
H
E
--
R
A
I
N
B
O
W
--
C
O
V
E
N
A
N
T
-
-
-
-
-
-
-
-
-
-
--
-
20
8
5
-
18
1
9
14
2
15
23
-
3
15
22
5
14
1
14
20
+
=
209
2+0+9
=
11
1+1
2
=
2
-
-
2
8
5
-
9
1
9
5
2
6
5
-
3
6
4
5
5
1
5
2
+
=
83
8+3
=
11
1+2
2
=
2
-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
5
5
-
5
-
-
-
5
occurs
x
6
=
30
3+0
3
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
7
--
--
--
--
--
--
--
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
38
-
-
18
-
83
-
38
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
5
5
-
5
-
-
-
3+8
-
-
1+8
-
8+3
-
3+8
-
18
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
11
-
-
9
-
11
-
11
-
1+8
2
8
5
-
9
1
9
5
2
6
5
-
3
6
4
5
5
1
5
2
-
-
-
-
-
-
-
1+1
-
1+1
-
9
T
H
E
-
R
A
I
N
B
O
W
-
C
O
V
E
N
A
N
T
-
-
2
-
-
9
-
2
-
2

 

 

-
THE HOLY BIBLE
-
-
-
3
THE
33
15
6
3
HOLY
60
24
6
4
BIBLE
30
21
3
10
THE HOLY BIBLE
123
60
15
1+0
-
1+2+3
4+5
1+5
1
THE HOLY BIBLE
6
6
6

 

 

-
HOLY BIBLE
-
-
-
3
HOLY
60
24
6
4
BIBLE
30
21
3
7
HOLY BIBLE
90
45
9
-
-
9+0
4+5
-
1
HOLY BIBLE
9
9
9

 

 

-
GENESIS
-
-
-
1
G
7
7
7
1
E
5
5
5
1
N
14
5
5
1
E
5
5
5
1
S
19
10
1
1
I
9
9
9
1
S
19
10
1
7
GENESIS
78
51
33
-
-
7+8
5+1
3+3
7
GENESIS
15
6
6
-
-
1+5
-
-
7
GENESIS
6
6
6

 

 

-
GENESIS
-
-
-
5
GENES
50
23
5
1
I
9
9
9
1
S
19
10
1
7
GENESIS
78
42
15
-
-
7+8
4+2
1+5
7
GENESIS
15
6
6
-
-
1+5
-
-
7
GENESIS
6
6
6

 

 

12
THE HOLY BIBLE
123
60
6
7
GENESIS
78
42
6

 

 

9
HOLY BIBLE
90
45
9
7
GENESIS
78
42
6

 

 

HOLY BIBLE

Scofield Refrences

C

9 V 9

AND

I BEHOLD I

ESTABLISH MY COVENANT WITH

YOU AND WITH YOUR SEED AFTER YOU

12

AND GOD SAID

THIS IS THE TOKEN OF THE COVENANT WHICH

I

MAKE BETWEEN

ME

AND

YOU AND EVERY LIVING CREATURE THAT IS WITH YOU

FOR

PERPETUAL GENERATIONS

13

I

DO SET MY BOW IN THE CLOUD AND IT SHALL BE FOR A TOKEN OF

A

COVENANT

BETWEEN

ME

AND THE

EARTH

14

AND IT SHALL COME TO PASS WHEN

I

BRING

A

CLOUD OVER THE EARTH THAT THE BOW SHALL BE SEEN IN THE CLOUD

15

AND

I

WILL REMEMBER MY COVENANT WHICH IS BETWEEN

ME AND YOU

AND

EVERY LIVING CREATURE OF ALL

FLESH AND THE WATERS SHALL NO MORE BECOME A FLOOD TO DESTROY ALL FLESH

16

AND

THE BOW SHALL BE IN THE CLOUD

AND

I WILL LOOK UPON IT THAT I

MAY REMEMBER THE

EVERLASTING COVENANT BETWEEN

GOD

AND EVERY LIVING CREATURE OF ALL FLESH THAT IS UPON THE EARTH

 

 

-
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
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
-
-
-
-
-
-
-
-
-
-
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
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
4
15
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
5
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

CATCHING THE LIGHT

THE ENTWINED HISTORY OF LIGHT AND MIND

1993

ANGELIC LIGHT - HUMAN LIGHT

Page 44

HOW YOU HAVE FALLEN FROM HEAVEN BRIGHT SON OF THE MORNING

FELLED TO THE EARTH

Isaiah 14:1215

 

 

-
DIVINE CHILD
-
-
-
6
DIVINE
63
36
9
5
CHILD
36
27
9
12
CHILD DIVINE
99
63
18
1+2
-
9+9
6+3
1+8
3
DIVINE CHILD
18
9
9
-
-
1+8
-
-
3
CHILD DIVINE
9
9
9

 

DIVINE CHILD OF THE RAINBOW LIGHT

 

 

CATCHING THE LIGHT

THE ENTWINED HISTORY OF LIGHT AND MIND

Arthur Zajonc

1993

SPIRIT LIGHT

Page 219

The universe seen from within is light; seen from without, by spiritual perception, it is thought .:35

Rudolf Steiner

Seeing Light-Ensouling Scence: Goethe and Steiner

" Like so many before him, Steiner drew on the opening pass­age of the Gospel of St. John when seeking the spiritual dimensions of light. John speaks there of the Logos-or Word­as the Light of the World. Everything we see, from sun to stream, cloud, animal, and man is, says Steiner, an embodiment or image of that divine-spiritual reality-the Logos.

Page 220

The purest appearance of the outer physical body of the Logos is the light of the Sun. Sunlight is not only material light. To spiritual perception it is also the garment of the Logos. In sunlight, spirit streams to the earth, the spirit of love. . . . Together with physical sunlight streams the warm love of the Godhead for the earth. 36
Light is the pure body of the Word, of the Logos. The very same light that illumines our world is the most perfect image of God's creative song. Grosseteste had called light the first cor­poreal form; Steiner agreed. The electromagnetic theory of light was, in Steiner's view, but a pale and abstract reflection of light's much greater nature, one of which we should remain forever mindful.

IN LECTURES AT the close of 1920, given to an audience well acquainted with his spiritual world conception, Steiner offered
a remarkable vista onto the nature and biography of light. He performed a kind of spiritual archaeology of the ancient origins of light, providing an account that was mythic in its proportions and language, yet one he intended to be an exact imagination of the genesis and being of light. 37 Once again Goethe provides the entry point for our considerations. "Colors are," Goethe said, "the deeds and sufferings of light." The metaphor is exact; yet what can act and suffer but beings?
The spiritual hierarchies spoken of in early Christianity (Angels, Archangels, and so on), and which were so much a part of Grosseteste's world, were and still are real according to Steiner. To each of us is given a personal guardian Angel, over groups there hovers an inspiring Archangel, and a Zeitgeist or Archai rules every age. Steiner's many descriptions of the nature and evolution of the hierarchies were detailed and of a scope unknown since the Gothic cathedral builders. It seems that the / Page 221 / angelic orders have evolved over enormous periods of time in ways somewhat similar to man's own spiritual evolution. In par­
ticular, in aeons past, the angelic hierarchies passed through a "human" stage. During that period they possessed an inner or moral world analogous to ours, one full of life and struggle, of deeds, noble and ignoble. Then, in a remarkable passage, he suggests that what the angelic host once carried within themselves as moral realities have since become "world-thoughts," which we in turn experience as the light of the world. The actual physical light that surrounds us is the fossillike remains of an ancient moral world lived by angelic beings. What was inner becomes outer.
With disarming logic, Steiner goes on to say that the moral world we are now nurturing within our souls will likewise one day become the light, or darkness, of a future evolutionary phase of the cosmos. "We see about us today a world of light; millions of years ago it was a moral world. We bear within us a moral world, which, millions of years hence, will be a world of light. . . . And a great feeling of responsibility toward the world­to-be wells up in us, because our moral impulses will later become shining worlds."38
Within such a view, it can never be a question of separating the moral from the physical. In Emerson's words, "Every natural fact is a symbol of some spiritual fact. . . . The world is emblematic. The laws of moral nature answer to those of matter as face to face in a glass."39 Thus, every physical reality is but the obverse of a moral reality. Steiner's vision extended Emer­son's to the greatest limits of human and cosmic history. In his view, the physical world is the fruit of the moral world. Pure hearts truly will illumine future worlds. Or, if we harbor darkness within, then a dark world will be its lawful consequence in the distant future. We are cocreators of the world not only through the deeds of our hands but, in even greater measure, through
the spiritual impulses we foster inwardly. In Steiner's words, / Page 222 /

"The physical and the moral do not exist side by side. No, they are only different aspects of something that is in itself one. The moral world order reveals itself out of the natural world order."
The connection of physical and moral, of sensual and spir­itual, was, and remains, largely heretical within religious as well as scientific circles. Powerful forces within Protestant theology have insisted on dividing religion from science utterly. Likewise, within the scientific community, religion has been viewed as treating an aspect of life entirely distinct from those investigated by science. Max Planck spoke for many when he said, "There can never be any real opposition between religion and science; because the one is the complement of the other." For scientist and theologian alike, there have been two worlds, and so two truths: one scientific and the other religious.
Goethe, Emerson, and Steiner, by contrast, acknowledge distinctions within life, but refuse to fragment it. Truth might be many-sided, but at root it is one. To Steiner, Planck's views are naive. Simple faith, as Planck envisions it, cannot withstand the impressive and ever-growing force of natural science. If modern habits of visualizing nature as a deterministic mechanism prevail, "then there is no possible way of saving the moral realm. . . there is simply no evidence anywhere in this moral realm of a power to prevail against the realm of the natural order. ,,40 By implication, if the moral realm falls, so, too, does the light of future aeons. Thus, Steiner sees the segregation of scientific and spiritual knowing not only as a hindrance to a comprehensive understanding of light, but also as a threat to our future. To Steiner, the natural world around us grows out of the moral world within us just as the butterfly evolves from the caterpillar. Its shape will depend on the worm we place inside the chrysalis.

 

 

MEDITATION FOR EVERY DAY

Rev Father Andrew, S.D.C. 1934

MONDAY IN EASTER WEEK

RISEN INDEED

Page 136

'The Lord is risen indeed.'-S. LUKE xxiv. 34­

"S. JOHN tells us in his Gospel that, when he and Peter went speeding down to the sepulchre of our Lord and entered in, he ' saw and believed.' What was it that brought conviction to John? He saw something in the way the grave-clothes were disposed which brought absolute conviction to him of our Lord's Resurrection. If he had just seen the grave­clothes put on one side, surely he would have thought, as the women thought, that the body of our Lord had been taken from the tomb, but there was something about them which he says brought conviction to him.
The Jewlsh method of burial was to wind linen round and round the body, sprinkling myrrh and spices upon the linen as they did so. The myrrh was sticky and made the bands of linen adhere closely together, so that the body was like a mummy or the chrysalis of a caterpillar. What S. John saw, when he entered the tomb, was that the linen which had been wound round the body still kept its shape, but it was clear that the body was not inside it. The linen lay there like an empty shell or a chrysalis from which the moth has risen. The napkin which had been laid over the face of Jesus had fallen back and lay in its own place by itself. He saw that, and it brought conviction to him, and he went away with a wholly different frame of mind from that with which he came. As Bishop Westcott says so well in his commentary, the feeling of the apostles is better expressed by their words, , The Master lives,' than by the words, , He is risen.' They realized that our Lord had never been defeated by death.

 

 

4
THUS
68
14
5
5
SPAKE
52
16
7
11
ZARATHUSTRA
153
45
9
20
First Total
273
75
21
2+0
Add to Reduce
2+7+3
7+5
2+1
2
Second Total
12
12
3
-
Reduce to Deduce
1+2
1+2
-
2
Essence of Number
3
3
3

 

 

4
THUS
68
14
5
5
SPOKE
66
21
3
11
ZARATHUSTRA
153
45
9
20
First Total
287
80
17
2+0
Add to Reduce
2+8+7
8+0
1+7
2
Second Total
17
8
8
-
Reduce to Deduce
1+7
-
-
2
Essence of Number
8
8
8

 

 

7
SUPREME
97
34
7
10
CREATIVITY
132
51
6

 

 

4
GODS
45
18
9
6
DIVINE
63
36
9
8
CREATORS
99
36
9
7
THOUGHT
99
36
9
7
IMAGERS
72
36
9

 

 

-
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
-
-
8
-
1
-
-
-
+
=
17
1+7
=
8
=
8
=
8
-
`-
26
-
-
-
-
8
-
19
-
-
-
+
=
53
5+3
=
8
=
8
=
8
-
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
--
-
-
-
-
-
-
-
1
9
1
2
-
3
-
2
9
1
+
=
28
2+8
=
10
1+0
1
=
1
-
-
-
1
18
1
20
-
21
-
20
18
1
+
=
100
1+0+0
=
1
=
1
=
1
-
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
--
-
-
-
-
-
`-
26
1
18
1
20
8
21
19
20
18
1
+
=
153
1+5+3
=
9
=
9
=
9
-
-
8
1
9
1
2
8
3
1
2
9
1
+
=
45
4+5
=
9
=
9
=
9
-
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
1
-
-
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
-
-
2
-
-
-
2
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
8
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
22
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
23
-
-
11
-
45
-
27
2+2
-
-
-
9
-
-
-
-
-
-
9
-
-
-
2+3
-
-
1+1
-
4+5
-
2+7
4
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
5
-
-
2
-
9
-
9
-
-
8
1
9
1
2
8
3
1
2
9
1
-
-
-
-
-
-
-
-
-
-
4
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
5
-
-
2
-
9
-
9

 

 

11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
--
-
-
-
-
-
8
-
-
-
-
8
-
1
-
-
-
+
=
17
1+7
=
8
=
8
=
8
`-
26
-
-
-
-
8
-
19
-
-
-
+
=
53
5+3
=
8
=
8
=
8
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
--
-
-
-
-
-
-
1
9
1
2
-
3
-
2
9
1
+
=
28
2+8
=
10
1+0
1
=
1
-
-
1
18
1
20
-
21
-
20
18
1
+
=
100
1+0+0
=
1
=
1
=
1
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
--
-
-
-
-
`-
26
1
18
1
20
8
21
19
20
18
1
+
=
153
1+5+3
=
9
=
9
=
9
-
8
1
9
1
2
8
3
1
2
9
1
+
=
45
4+5
=
9
=
9
=
9
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
1
-
-
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
-
2
-
-
-
2
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
8
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
9
-
-
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
23
-
-
11
-
45
-
27
-
-
-
9
-
-
-
-
-
-
9
-
-
-
2+3
-
-
1+1
-
4+5
-
2+7
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
5
-
-
2
-
9
-
9
-
8
1
9
1
2
8
3
1
2
9
1
-
-
-
-
-
-
-
-
-
-
11
Z
A
R
A
T
H
U
S
T
R
A
-
-
5
-
-
2
-
9
-
9

 

 

9
ALONENESS
104
32
5
-
-
-
-
-
-
-
-
-
-
10
ALL-ONE-NESS
-
-
-
-
ALL
25
7
7
-
ONE
34
16
7
-
NESS
57
12
3
10
ALL-ONE-NESS
116
35
17
1+0
-
1+1+6
3+5
1+7
1
ALL-ONE-NESS
8
8
8

 

 

--
6
Z
E
N
I
T
H
-
-
-
-
-
--
-
-
-
-
-
-
8
-
5
9
-
8
+
=
30
3+0
=
3
=
3
=
3
-
`-
26
-
14
9
-
8
+
=
57
5+7
=
12
1+2
3
=
3
--
6
Z
E
N
I
T
H
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
-
2
-
+
=
7
-
=
7
=
7
=
7
-
`-
-
5
-
-
20
-
+
=
25
2+5
=
7
=
7
=
7
--
6
Z
E
N
I
T
H
-
-
-
-
-
--
-
-
-
-
-
`-
26
5
14
9
20
8
+
=
82
8+2
=
10
1+0
1
=
1
-
-
8
5
5
9
2
8
+
=
37
3+7
=
10
1+0
1
=
1
-
6
Z
E
N
I
T
H
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
5
5
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
=
9
31
6
Z
E
N
I
T
H
-
-
24
-
-
6
-
37
-
19
3+1
-
-
-
-
9
-
-
-
-
2+4
-
-
-
-
3+7
-
1+9
4
6
Z
E
N
I
T
H
-
-
6
-
-
6
-
10
-
10
-
-
8
5
5
9
2
8
-
-
-
-
-
-
-
1+0
-
1+0
4
6
Z
E
N
I
T
H
-
-
6
-
-
6
-
1
-
1

 

 

6
Z
E
N
I
T
H
-
-
-
-
-
--
-
-
-
-
-
8
-
5
9
-
8
+
=
30
3+0
=
3
=
3
=
3
`-
26
-
14
9
-
8
+
=
57
5+7
=
12
1+2
3
=
3
6
Z
E
N
I
T
H
-
-
-
-
-
--
-
-
-
-
-
-
5
-
-
2
-
+
=
7
-
=
7
=
7
=
7
`-
-
5
-
-
20
-
+
=
25
2+5
=
7
=
7
=
7
6
Z
E
N
I
T
H
-
-
-
-
-
--
-
-
-
-
`-
26
5
14
9
20
8
+
=
82
8+2
=
10
1+0
1
=
1
-
8
5
5
9
2
8
+
=
37
3+7
=
10
1+0
1
=
1
6
Z
E
N
I
T
H
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
2
occurs
x
1
=
2
=
2
-
-
5
5
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
8
-
-
-
-
8
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
=
9
6
Z
E
N
I
T
H
-
-
24
-
-
6
-
37
-
19
-
-
-
-
9
-
-
-
-
2+4
-
-
-
-
3+7
-
1+9
6
Z
E
N
I
T
H
-
-
6
-
-
6
-
10
-
10
-
8
5
5
9
2
8
-
-
-
-
-
-
-
1+0
-
1+0
6
Z
E
N
I
T
H
-
-
6
-
-
6
-
1
-
1

 

 

TWO HANDS OF GOD

AN EXPLORATION OF THE UNDERLYING UNITY OF ALL THINGS

Alan Watts 1963

Page 3

Introduction. 3

"There is, too, the special difficulty that the study of living myths is like the study of child psychology: the infant is unable to say what he thinks and feels in the terms which the psychologist wants to use. The recognition of myth as such almost invariably requires a certain sophistication; like the rainbow, myth can be seen only from a cultural or temporal distance-and as the anthropologist approaches it to find his pot of gold, the rainbow recedes and vanishes.
It is not, however, the purpose of this particular volume to explore or apply any general theories of myth beyond the rather vague assumption that myth is often a way of thinking in concrete images, in terms that are neither abstract ideas nor descriptions of tangible facts. Its less ambitious though almost paradoxical object is to show, with respect to myths of a certain type, that the mythical mode of thought is able to convey things which are difficult to express otherwise, and that therefore myth still has value for an age of science and scientific philosophy. Myth is not, furthermore, an exclusively ancient or primitive phenomenon. As Mark Schorer has said, "Myths are the instruments by which we continually struggle to make our experience intelligible to ourselves. A myth is a large controlling image that gives philosophical meaning to the facts of ordinary life; that is, which has organizing value for experience. . . . Are not ideas, like language itself, supported by the 'submerged metaphor'? In this sense, myth is indispensable to any form of belief."

 

 

DAILY MAIL

Jonathan Cainer, Tuesday, February 7, 2006

TAURUS - GEMINI

Apr 21-May 21

Page 42

"WE'D all like to discover the pot of gold at the end of the rainbow. We suspect, though, that we would have to hunt very hard for it. That's why most of us set out instead to look for things that are easier to find. Like fault, for example. We can all see that: everywhere we look. It's the hardest thing in the world to construct something that's beyond criticism ­and the easiest to rip an idea to shreds. Keep following that rainbow. Keep looking for that pot of gold. Be less judgmental and more open-minded."

 

 

DAILY MAIL

Jonathan Cainer, Wednesday, February 8, 2006

TAURUS - GEMINI

Apr 21-May 21

Page 43

"SOMEWHERE over the rainbow, bluebirds fly .. .' They also, though, fly under the rainbow. We all like to dream of magical, faraway lands, full of wonderful things but often we forget that wonderful things are all around us in this world. We may not need to follow a Yellow Brick Road. It might be. Quite sufficient to look up from the path we are trudging and recognise that we are already in a very special place. You may now wish you were standing in someone else's shoes, but your own footwear is much coveted."

 

 

DAILY MAIL

Jonathan Cainer. Thursday, February 9, 2006

TAURUS - GEMINI

Apr 21-May 21

Page 50

BE THOU the rainbow to the storms of life! The evening beam that smiles the clouds away, and tints tomorrow with prophetic ray!' Lord Byron was a famously romantic poet. But here, he gives some very practical advice. We should all strive to be this way. It would do us no end of good. Today you will find that you don't have to strive very hard to share a little hope and happiness. It's already in you and it's looking for a way to express itself. Give it a chance to help you make a difficult situation much easier

 

 

DAILY MAIL

Jonathan Cainer. Friday, February, 2006

TAURUS - GEMINI

Apr 21-May 21

Page 50

'THE soul would have no rainbow, had the eyes no tears.' This quote comes from a 19th-century poem by John Vance Cheney. Some say it is also an old Native North American saying. Rainbows have long symbolised the emergence of hope at a time of difficulty. For a rainbow to . appear, there must be sunshine in the midst of a shower. Something is now dampening your spirits, but something else is uplifting them. This weekend, a painful memory and a joyous promise will combine to bring a colourful vision.

 

 

 

 

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

 

 

T
=
2
-
3
THE
33
15
6
Q
=
8
-
8
QUESTION
120
39
3
H
=
8
-
3
HAS
28
10
1
B
=
2
-
4
BEEN
26
17
8
A
=
1
-
5
ASKED
40
13
4
A
=
1
-
5
AGAIN
32
23
5
A
=
1
-
3
AND
19
10
1
A
=
1
-
5
AGAIN
32
23
5
I
=
9
-
2
IS
28
10
1
T
=
2
-
5
THERE
56
29
2
S
=
1
-
4
SOME
52
16
7
M
=
4
-
5
MEANS
52
16
7
O
=
6
-
2
OF
21
12
3
K
=
2
-
7
KNOWING
93
39
3
W
=
5
-
4
WHEN
50
23
5
T
=
2
-
3
THE
33
15
6
M
=
4
-
6
MOMENT
80
26
8
H
=
8
-
3
HAS
28
10
1
C
=
3
-
4
COME
36
18
9
T
=
2
-
2
TO
35
8
8
T
=
2
-
4
TAKE
37
10
1
T
=
2
-
3
THE
33
15
6
T
=
2
-
4
TIDE
38
20
2
A
=
1
-
2
AT
21
3
3
T
=
2
-
3
THE
33
15
6
F
=
6
-
5
FLOOD
52
25
7
B
-
87
Q
104
First Total
1108
460
118
-
-
8+7
-
1+0+4
Add to Reduce
1+1+0+8
4+6+0
1+1+8
-
-
15
-
5
Second Total
10
10
10
-
-
1+5
-
-
Reduce to Deduce
1+0
1+0
1+0
-
-
6
-
5
Essence of Number
1
1
1

 

 

YOU ARE GOING ON A JOURNEY A VERY SPECIAL JOURNEY DO HAVE A PLEASANT JOURNEY DO

 

 

8
QUO VADIS
108
36
9
6
VOX POP
108
36
9
11
SORROW
108
36
9
8
INSTINCT
108
36
9
11
DESCENDANTS
108
36
9
8
STARTING
108
36
9
9
NARRATIVE
108
36
9
9
SEQUENCES
108
36
9
9
COMPLETES
108
36
9
9
AMBIGUOUS
108
36
9
7
JOURNEY
108
36
9

 

 

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:..."

 

 

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

 

 

8
QUO VADIS
108
36
9
8
CONSUMER
108
36
9
8
INSTINCT
108
36
9
6
VOX POP
108
36
9

 

 

-
SIGNALS
-
-
-
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
3
NAL
27
9
9
1
S
19
10
1
7
SIGNALS
81
45
27
-
-
8+1
4+5
2+7
7
SIGNALS
9
9
9

 

 

-
SIGNALS
-
-
-
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
1
N
14
5
5
1
A
1
1
1
1
L
12
3
4
1
S
19
10
1
7
SIGNALS
81
45
27
-
-
8+1
4+5
2+7
7
SIGNALS
9
9
9

 

21:00 PM MESSAGE READS.

21ST DAY OF THE 21ST YEAR OF THE 21ST CENTURY

Signaling theory is useful for describing behavior when two parties (individuals or organizations) have access to different information. Typically, one party, the sender, must choose whether and how to communicate (or signal) that information, and the other party, the receiver, must choose how to interpret the signal.

In contract theory, signalling (or signaling; see spelling differences) is the idea that one party (termed the agent) credibly conveys some information about itself to another party (the principal

 

 

-
-
-
-
-
SIGNALS
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
7
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
-
-
45
-
7
SIGNALS
81
45
27
-
1
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
8+1
4+5
2+7
-
-
-
-
-
-
-
-
-
-
-
-
9
-
7
SIGNALS
9
9
9
-
1
2
3
4
5
6
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
SIGNALS
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
S
=
1
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
-
-
45
-
7
SIGNALS
126
54
45
-
3
2
3
4
5
6
7
8
9
-
-
4+5
-
-
-
1+2+6
5+4
4+5
-
-
-
-
-
-
-
-
-
-
-
-
9
-
7
SIGNALS
9
9
9
-
3
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
SIGNALS
-
-
-
-
1
3
5
7
9
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
S
=
1
-
1
S
19
10
1
-
1
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
3
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
5
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
-
-
45
-
7
SIGNALS
126
54
45
-
3
3
5
7
9
-
-
4+5
-
-
-
1+2+6
5+4
4+5
-
-
-
-
-
-
-
-
9
-
7
SIGNALS
9
9
9
-
3
3
5
7
9

 

 

-
SIGNALLING
-
-
-
1
S
19
10
1
1
I
9
9
9
1
G
7
7
7
1
N
14
5
5
1
A
1
1
1
1
L
12
3
3
1
L
12
3
3
1
I
9
9
9
1
N
14
5
5
1
G
7
7
7
10
SIGNALLING
104
59
50
-
-
1+0+4
5+9
5+0
10
SIGNALLING
5
14
5
1+0
-
-
1+4
-
1
SIGNALLING
5
5
5

 

Signalling - definition of signalling by The Free Dictionary
www.thefreedictionary.com › signalling

Define signalling. signalling synonyms, signalling pronunciation, signalling translation, English dictionary definition of signalling.

 

-
-
-
-
-
SIGNALLING
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
7
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
-
-
50
-
10
SIGNALLING
104
59
50
-
2
2
6
4
10
6
14
8
18
-
-
5+0
-
1+0
-
1+0+4
5+9
5+0
-
-
-
-
-
1+0
-
1+4
-
1+8
-
-
5
-
1
SIGNALLING
5
14
5
-
2
2
6
4
1
6
5
8
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
1
SIGNALLING
5
5
5
-
2
2
6
4
1
6
5
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
SIGNALLING
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
7
-
1
S
19
10
1
-
1
2
-
4
-
6
-
8
-
A
=
1
-
1
A
1
1
1
-
1
2
-
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
L
=
3
-
1
L
12
3
3
-
-
2
3
4
-
6
-
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
N
=
5
-
1
N
14
5
5
-
-
2
-
4
5
6
-
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
G
=
7
-
1
G
7
7
7
-
-
2
-
4
-
6
7
8
-
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
I
=
9
-
1
I
9
9
9
-
-
2
-
4
-
6
-
8
9
-
-
50
-
10
SIGNALLING
104
59
50
-
2
2
6
4
10
6
14
8
18
-
-
5+0
-
1+0
-
1+0+4
5+9
5+0
-
-
-
-
-
1+0
-
1+4
-
1+8
-
-
5
-
1
SIGNALLING
5
14
5
-
2
2
6
4
1
6
5
8
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
1
SIGNALLING
5
5
5
-
2
2
6
4
1
6
5
8
9

 

 

-
-
-
-
-
SIGNALLING
-
-
-
-
1
3
5
7
9
S
=
7
-
1
S
19
10
1
-
1
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
3
-
-
-
L
=
3
-
1
L
12
3
3
-
-
3
-
-
-
N
=
5
-
1
N
14
5
5
-
-
-
5
-
-
N
=
5
-
1
N
14
5
5
-
-
-
5
-
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
G
=
7
-
1
G
7
7
7
-
-
-
-
7
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
-
-
50
-
10
SIGNALLING
104
59
50
-
2
6
10
14
18
-
-
5+0
-
1+0
-
1+0+4
5+9
5+0
-
-
-
1+0
1+4
1+8
-
-
5
-
1
SIGNALLING
5
14
5
-
2
6
1
5
9
-
-
-
-
-
-
-
1+4
-
-
-
-
-
-
-
-
-
5
-
1
SIGNALLING
5
5
5
-
2
6
1
5
9

 

 

JUST SIX NUMBERS

Martin Rees 1999

OUR COSMIC HABITAT I PLANETS STARS AND LIFE

Page 24


"A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "

Page 24 /25 '
" A manifestly artificial signal-even if it were as boring as lists of prime numbers, or the digits of 'pi' - would imply that ntelli-gence' wasn't unique to the Earth and had evolved elsewhere. The nearest potential sites are so far away that signals would take many years in transit. For this reason alone, transmission would be primarily one-way.
There would be time to send a measured response, but no scope for quick repartee! any remote beings who could communicate with us would have some concepts of mathematics and logic that paralleled our own. And they would also share a knowledge of the basic particles and forces that govern our universe. Their habitat may be very different (and the biosphere even more different) from ours here on Earth; but they, and their planet, would be made of atoms just like those on Earth. For them, as for us, the most important particles would be protons and electrons: one electron orbiting a proton makes a hydrogen atom, and electric currents and radio transmitters involve streams of electrons. A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' able and motivated to transmit radio signals. All the basic forces and natural laws would be the same. Indeed, this uniformity - without which our universe would be a far more baffling place - seems to extend to the remotest galaxies that astronomers can study.
 Later chapters in this book will, however, speculate about other 'universes', forever beyond range of our telescopes, where different laws may prevail.)
Clearly, alien beings wouldn't use metres, kilograms or seconds. But we could exchange information about the ratios of two masses (such as thc ratio of proton and electron masses) or of two lengths, which are 'pure numbers' that don't depend on what units are used: the statement that one rod is ten times as long as another is true (or false) whether we measure lengths/ 1feet or metres or some alien units"

"A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "

 

AS ABOVE SO BELOW

THIS IS THE SEEN OF THE SCENE UNSEEN THE UNSEEN SCENE OF THE SCENE UNSEEN THIS IS THE SEEN

AS BELOW SO ABOVE

Martin Rees 1999

A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "

 

ONE 1 ONE

EIGHT 8 EIGHT

THREE 3 THREE

SIX 6 SIX

 

THE GREAT PYRAMID

ITS

DIVINE MESSAGE

AN ORIGINAL CO-ORDINATION OF HISTORICAL DOCUMENTS AND ARCHEOLOGICAL EVIDENCES

D. Davidson and H. Aldersmith 1925

Page 279

"The resulting length for the Grand Gallery roof is 1836 P an important Pyramid dimension dealt with later."

 

HARMONIC 288

Bruce Cathie 1977

EIGHT

 THE MEASURE OF LIGHT : I

Page 95
"The search for this particular value was a lengthy one and the clue that led me finally to a possible solution was a study of the construction of the Grand Gallery. The height of the Gallery was the first indication that it was not just an elaborate access passage. Previous measurements made by scientific investigators pointed to some interesting possibilities. "
Page 95
"The value that I calculated for length was extremely close to that of the one published in Davidson and Aldersmith's book, their value being 1836 inches,"

Page 95/97                                                                                                                                                        
"A search of my physics books revealed that 1836 was the closest approximation the scientists have calculated to the mass / ratio of the positive hydrogen ion, i.e. the proton, to the electron."

 

 

 THE TUTANKHAMUN PROPHECIES

 Maurice Cotterell 1999

Page194

Anderson's Constitutions of the Freemasons (In3) comments:
", . . the Tillest structures of Tyre and Sidon could not be compared with the Eternal God's Temple at Jerusalem. , ,
  there were employed 3,600 Princes, or Master Masons', to conduct the work according to Solomon's directions,
 with 80000 hewers of stone in the mountains ('Fellow Craftsmen')and 70000 labourers in all 153600 besides       
the levy under Adoniram to work In the mountains of Lebanon by turns with the Sidonians, viz 30,000 being in all 183,600

Page 190

"The holy number of sun-worshippers is 9, the highest number that can be reached before becoming one (10) with the creator. This is why Tutankhamun was entombed in nine layers of coffin. This is why the pyramid skirts of the two statues, guarding the entrance to the Burial Chamber, were triangular (base 3), when the all-seeing eye-skirt of Mereruka contained a pyramid skirt with a base of four sides. The message concealed here is that the 3 should be squared, which equals 9. Freemasons" for reasons we shall see, are said to be 'on the square'."

 

 

THE BIOLOGY OF DEATH

Lyall Watson 1974

Page 49

"AS long ago as 1836, in a Manual of Medical Jurisprudence, this was said: Individuals who are apparently destroyed in a sudden manner, by certain wounds, diseases , or even decapitation are not really dead, but are only in conditions incompatible with the persistence life."

 

 

THE JUPITER EFFECT

John Gribbin and Stephen Plagemann 1977

Page 122

: "Seventeen 'major historical earthquakes' are referred to in the report all of which occurred since
1836

 

 

AUTOBIOGRAPHY OF A YOGI

Paramahansa Yogananda

1946

Book cover comments

"I am grateful to you for granting me some insight into this fascinating world." - Thomas Mann"

"As an eye witness recountal of the extraordinary lives and powers of modern Hindu saints, the book has importance both timely and timeless."

- W. Y. Evans-Wentz, Orientalist

Page 275

"In the gigantic concepts of Einstein, the velocity of light - 1863 miles per second - dominates the whole theory of relativity"

1863 - 1836

 

 

GODS OF THE DAWN

THE MESSAGE OF THE PYRAMIDS

AND

THE TRUE STARGATE MYSTERY

Peter Lemesurier 1997

Page 118

"With the entry into the Grand Gallery, all kinds of extraordinary things now start to happen"
                                         while the 1836P" long roof (-code equivalent: 153 x 12)

 

 

JUST SIX NUMBERS

Martin Rees 1999

OUR COSMIC HABITAT I PLANETS STARS AND LIFE

Page 24

"A proton is

1,836 times heavier than an electron, and the number 1,836

would have the same connotations to any 'intelligence' "



1836
       1863
             1683
                   1638
                         1368
                               1386
                                     8613
                                            8631
                                                  8316
                                                        8361
                                                              8163
                                                                       8136
                                                                             6813
                                                                                   6831
                                                                                         6381
                                                                                               6318
                                                                                                      6138
                                                                                                             6183
                                                                                                                   3861
                                                                                                                         3816
                                                                                                                               3681
                                                                                                                                     3618
                                                                                                                                           3186
                                                                                                                                                 3168

 

8
EIGHTEEN
73
46
1
9
THIRTYSIX
152
53
8
17
-
225
99
9
1+7
-
2+2+5
9+9
-
8
-
9
18
9
-
-
-
1+8
-
8
-
9
9
9

 

PLANET E PLANT E PLANET

 

 

P
=
7
-
PLANET
-
-
-
-
-
-
5
PLANT
63
18
9
-
-
-
1
E
5
5
5
P
-
7
6
PLANET
68
23
14
-
-
-
-
-
6+8
2+3
1+4
P
-
7
6
PLANET
14
5
5
-
-
-
-
-
1+4
-
-
P
-
7
6
PLANET
5
5
5

 

 

B
=
2
4
BLUE
40
13
4
P
=
7
6
PLANET
68
23
5
-
-
9
10
-
108
36
9
-
-
-
1+0
-
1+0+8
3+6
-
-
-
9
1
-
9
9
9

 

 

W
=
5
-
WORLD
-
-
-
-
-
-
1
L
12
3
3
-
-
-
4
WORD
60
24
6
W
=
5
5
WORLD
72
27
9
-
-
-
-
-
7+2
2+7
-
W
=
5
5
WORLD
9
9
9

 

 

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.

 

 
 
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