Previous Page
   Next Page
 
Evokation
  
 
Index
  

 

 

 

NUCLEAR FAMILY 19769

 

 

 

 

 

 

 

 

THE

MAGICALALPHABET

 

..................

 

 

-
-
-
-
-
THE RAINBOW LIGHT
-
-
-
T
=
2
-
3
THE
33
15
6
R
=
9
-
7
RAINBOW
82
37
1
L
=
3
-
5
LIGHT
56
29
2
-
-
14
-
15
THE RAINBOW LIGHT
171
81
9
-
-
1+4
-
1+5
-
1+7+1
8+1
-
Q
-
5
-
6
THE RAINBOW LIGHT
9
9
9

 

 

 

 

 

 

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

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

 

 

THE DIVINE COMEDY

OF

DANTE ALIGHIERI (1265-1321)

THE FLORENTINE

CANTICA I

HELL

(L'INFERNO)

INTRODUCTION

Page 9

"Midway this way of life we're bound upon

I woke to find myself in a dark wood,

Where the right road was wholly lost and gone."

 

 

M
=
4
-
6
MIDWAY
75
30
3
T
=
2
-
4
THIS
56
20
2
W
=
5
-
3
WAY
49
13
4
O
=
6
-
2
OF
21
12
3
L
=
3
-
4
LIFE
32
23
5
W
=
5
-
4
WE'RE
51
24
6
B
=
2
-
5
BOUND
56
20
2
U
=
3
-
4
UPON
66
21
3
-
-
30
-
32
-
406
163
28
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
W
=
5
-
4
WOKE
54
18
9
T
=
2
-
2
TO
35
8
8
F
=
6
-
4
FIND
33
24
6
M
=
4
-
6
MYSELF
80
26
8
I
=
9
-
2
IN
23
14
5
A
=
1
-
1
A
1
1
1
D
=
4
-
4
DARK
34
16
7
W
=
5
-
4
WOOD
57
21
3
-
-
45
-
28
-
326
137
56
-
-
-
-
-
-
-
-
-
W
=
5
-
5
WHERE
59
32
5
T
=
2
-
3
THE
33
15
6
R
=
9
-
5
RIGHT
62
35
8
R
=
9
-
4
ROAD
38
20
2
W
=
5
-
3
WAS
43
7
7
W
=
5
-
6
WHOLLY
95
32
5
L
=
3
-
4
LOST
66
12
3
A
=
1
-
3
AND
19
10
1
G
=
7
-
4
GONE
41
23
5
-
-
46
-
37
-
456
186
42
-
-
-
-
-
-
-
-
-
-
-
121
-
97
First Total
1188
486
126
-
-
1+2+1
-
9+7
Add to Reduce
1+1+8+8
4+8+6
1+2+6
Q
-
4
-
16
Second Total
18
18
9
-
-
-
-
1+6
Reduce to Deduce
1+8
1+8
-
-
-
4
-
7
Essence of Number
9
9
9

 

 

THE DIVINE COMEDY

OF

DANTE ALIGHIERI (1265-1321)

THE FLORENTINE

CANTICA I

HELL

(L'INFERNO)

INTRODUCTION

Page 9

"Power failed high fantasy here; yet, swift to move

Even as a wheel moves equal, free from jars,

Already my heart and will were wheeled by love,

The Love that moves the sun and other stars."

 

P
=
7
-
5
POWER
77
32
5
F
=
6
-
6
FAILED
37
28
1
H
=
8
-
4
HIGH
32
32
5
F
=
6
-
7
FANTASY
86
23
5
H
=
8
-
4
HERE
36
27
9
Y
=
7
-
3
YET
50
14
5
S
=
1
-
5
SWIFT
77
23
5
T
=
2
-
2
TO
35
8
8
M
=
4
-
4
MOVE
55
19
1
-
-
49
-
40
First Total
485
206
44
-
-
4+9
-
4+0
Add to Reduce
4+8+5
2+0+6
4+4
Q
-
13
-
4
Second Total
17
8
8
-
-
1+3
-
-
Reduce to Deduce
1+7
-
-
-
-
4
-
4
Essence of Number
8
8
8

 

 

E
=
5
-
4
EVEN
46
19
1
A
=
1
-
2
AS
20
2
2
A
=
1
-
1
A
1
1
1
W
=
5
-
5
WHEEL
53
26
8
M
=
4
-
5
MOVES
74
20
2
E
=
5
-
5
EQUAL
56
20
2
F
=
6
-
4
FREE
34
25
7
F
=
6
-
4
FROM
52
25
7
J
=
1
-
4
JARS
48
12
3
-
-
34
-
34
First Total
384
150
33
-
-
3+4
-
3+4
Add to Reduce
3+8+4
1+5+0
3+3
Q
-
7
-
7
Second Total
15
6
6
-
-
-
-
-
Reduce to Deduce
1+5
-
-
-
-
7
-
7
Essence of Number
6
6
6

 

 

A
=
1
-
7
ALREADY
66
30
3
M
=
4
-
2
MY
38
11
2
H
=
8
-
5
HEART
52
25
7
A
=
1
-
3
AND
19
10
1
W
=
5
-
4
WILL
56
20
2
W
=
5
-
4
WERE
51
24
7
W
=
5
-
7
WHEELED
62
35
8
B
=
2
-
2
BY
27
9
9
L
=
3
-
4
LOVE
54
18
9
-
-
34
-
38
First Total
425
182
47
-
-
3+4
-
3+8
Add to Reduce
4+2+5
1+8+2
4+7
Q
-
7
-
11
Second Total
11
11
11
-
-
-
-
1+1
Reduce to Deduce
1+1
1+1
1+1
-
-
7
-
2
Essence of Number
2
2
2

 

 

T
=
2
-
3
THE
33
15
6
L
=
3
-
4
LOVE
54
18
9
T
=
2
-
4
THAT
49
13
4
M
=
4
-
5
MOVES
74
20
2
T
=
2
-
3
THE
33
15
6
S
=
1
-
3
SUN
54
9
9
A
=
1
-
3
AND
19
10
1
O
=
6
-
5
OTHER
66
30
3
S
=
1
-
5
STARS
77
14
5
-
-
22
-
35
First Total
459
144
45
-
-
2+2
-
3+5
Add to Reduce
4+5+9
1+4+4
4+5
Q
-
4
-
8
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
4
-
8
Essence of Number
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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 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

 

 

THE LOST PHARAOHS

Leonard Cottrell 1950

Page 174

"After the seventh year of his reign he never again led his armies out of Thebes but spent the rest of his life living luxuriously in his capital with his chief wife, Queen Tiyi"

Page 176

"In about the fourth year of his reign Tiyi bore him a son, who at first had the same name as his father.

Page218

Of Queen Tiyi

"Tiyi was an able woman. Kings wrote to her on important matters. She knew well what was happening in the Empire"

Pendlebury."

 

-
TIYI
45
9
9
1
T
20
2
2
1
I
9
9
9
1
Y
25
7
7
1
I
9
9
9
3
TIYI
63
27
27
-
-
6+3
2+7
2+7
3
TIYI
9
9
9

 

 

-
QUETZALCOATL
-
-
-
-
Q+U+E+T
63
18
9
-
ZA
27
9
9
-
LCOATL
63
18
9
12
QUETZALCOATL
153
45
27
-
-
1+5+3
4+5
2+7
12
QUETZALCOATL
9
9
9

 

 

4
EAST
45
36
9
4
WEST
67
22
4
5
NORTH
75
30
3
5
SOUTH
83
29
2
18
 Add
270
117
18
1+8
Reduce
2+7+0
1+1+7
1+8
9
Deduce
9
9
9

 

 

13
THE EYE OF HORUS
170
80
8
-
-
-
-
-
-
-
-
-
-
3
THE
33
15
6
1
I
9
9
9
2
OF
21
12
3
5
HORUS
81
36
9
11
THE I OF HORUS
144
72
27
1+1
-
1+4+4
7+2
2+7
2
THE I OF HORUS
9
9
9

 

 

3
THE
33
15
6
6
AMULET
72
18
9
2
OF
21
12
3
3
TET
45
9
9
14-
-
171
54
27
1+4
-
1+7+1
5+4
2+7
5
-
9
9
9

 

 

3
THE
33
15
6
6
AMULET
72
18
9
2
OF
21
12
3
6
BUCKLE
54
18
9
17
-
180
63
27
1+7
-
1+8+0
6+3
2+7
8
-
9
9
9

 

 

3
TET
45
9
9
4
ANKH
34
16
7
6
SCARAB
44
26
8
7
SCARABS
63
27
9
-
-
-
-
-
-
-
-
-
-
4
IRON
56
29
2
7
MAGNETS
79
34
7
11
-
135
63
9
1+1
-
1+3+5
6+3
-
2
-
9
9
9

 

 

9
MEH UTCHAT
99
36
9
3
MEH
26
17
8
6
UTCHAT
73
19
1
9
MEH UTCHAT
99
36
9

 

 

9
RA OSIRIS
108
63
9
9
OSIRIS RA
108
63
9

 

 

-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
T
=
2
-
3
THE
33
15
6
S
=
1
-
6
SPIRIT
91
46
1
O
=
6
-
2
OF
21
12
3
G
=
7
-
3
GOD
26
17
8
-
-
16
-
14
THE SPIRIT OF GOD
171
90
18
-
-
1+6
-
1+4
-
1+7+1
9+0
1+8
-
-
7
-
5
THE SPIRIT OF GOD
9
9
9

 

 

-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
81
18
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
15
-
3
-
33
15
15
-
-
-
-
-
-
-
-
-
-
S
=
1
4
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
P
=
7
5
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
7
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
8
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
9
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
-
-
37
-
6
-
91
46
37
-
-
-
-
-
-
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
11
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
-
-
12
-
2
-
21
12
12
-
-
-
-
-
-
-
-
-
-
G
=
7
12
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
13
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
D
=
4
14
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
-
-
17
-
3
-
26
17
17
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
1
4
3
4
5
18
14
8
27
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
-
1+8
1+4
-
2+7
O
=
6
-
2
OF
21
12
3
-
1
4
3
4
5
9
5
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
90
18
-
1
4
3
4
5
9
5
8
9
-
-
1+6
-
1+4
-
1+7+1
9+0
1+8
-
-
-
-
-
-
-
-
-
-
-
-
7
-
5
THE SPIRIT OF GOD
9
9
9
-
1
4
3
4
5
9
5
8
9

 

 

-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
81
18
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
3
-
-
-
-
-
-
H
=
8
2
1
H
8
8
8
-
-
-
3
-
-
-
-
8
-
E
=
5
3
1
E
5
5
5
-
-
-
3
-
5
-
-
-
-
S
=
1
4
1
S
19
10
1
-
1
-
3
-
-
-
-
-
-
P
=
7
5
1
P
16
7
7
-
-
-
3
-
-
-
7
-
-
I
=
9
6
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
R
=
9
7
1
R
18
9
9
-
-
-
3
-
-
-
-
-
9
I
=
9
8
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
T
=
2
9
1
T
20
2
2
-
-
2
3
-
-
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
3
-
-
6
-
-
-
F
=
6
11
1
F
6
6
6
-
-
-
3
-
-
6
-
-
-
G
=
7
12
1
G
7
7
7
-
-
-
3
-
-
-
7
-
-
O
=
6
13
1
O
15
6
6
-
-
-
3
-
-
6
-
-
-
D
=
4
14
1
D
4
4
4
-
-
-
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
1
4
3
4
5
18
14
8
27
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
-
1+8
1+4
-
2+7
O
=
6
-
2
OF
21
12
3
-
1
4
3
4
5
9
5
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
90
18
-
1
4
3
4
5
9
5
8
9
-
-
1+6
-
1+4
-
1+7+1
9+0
1+8
-
-
-
-
-
-
-
-
-
-
-
-
7
-
5
THE SPIRIT OF GOD
9
9
9
-
1
4
3
4
5
9
5
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
-
-
-
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
81
18
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
4
1
S
19
10
1
-
1
-
3
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
3
-
-
-
-
-
-
T
=
2
9
1
T
20
2
2
-
-
2
3
-
-
-
-
-
-
D
=
4
14
1
D
4
4
4
-
-
-
3
4
-
-
-
-
-
E
=
5
3
1
E
5
5
5
-
-
-
3
-
5
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
3
-
-
6
-
-
-
F
=
6
11
1
F
6
6
6
-
-
-
3
-
-
6
-
-
-
O
=
6
13
1
O
15
6
6
-
-
-
3
-
-
6
-
-
-
P
=
7
5
1
P
16
7
7
-
-
-
3
-
-
-
7
-
-
G
=
7
12
1
G
7
7
7
-
-
-
3
-
-
-
7
-
-
H
=
8
2
1
H
8
8
8
-
-
-
3
-
-
-
-
8
-
I
=
9
6
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
R
=
9
7
1
R
18
9
9
-
-
-
3
-
-
-
-
-
9
I
=
9
8
1
I
9
9
9
-
-
-
3
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
1
4
3
4
5
18
14
8
27
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
-
1+8
1+4
-
2+7
O
=
6
-
2
OF
21
12
3
-
1
4
3
4
5
9
5
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
90
18
-
1
4
3
4
5
9
5
8
9
-
-
1+6
-
1+4
-
1+7+1
9+0
1+8
-
-
-
-
-
-
-
-
-
-
-
-
7
-
5
THE SPIRIT OF GOD
9
9
9
-
1
4
3
4
5
9
5
8
9

 

 

-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
1
2
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
-
-
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
81
18
-
1
2
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
4
1
S
19
10
1
-
1
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
T
=
2
9
1
T
20
2
2
-
-
2
-
-
-
-
-
-
D
=
4
14
1
D
4
4
4
-
-
-
4
-
-
-
-
-
E
=
5
3
1
E
5
5
5
-
-
-
-
5
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
6
-
-
-
F
=
6
11
1
F
6
6
6
-
-
-
-
-
6
-
-
-
O
=
6
13
1
O
15
6
6
-
-
-
-
-
6
-
-
-
P
=
7
5
1
P
16
7
7
-
-
-
-
-
-
7
-
-
G
=
7
12
1
G
7
7
7
-
-
-
-
-
-
7
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
8
-
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
9
R
=
9
7
1
R
18
9
9
-
-
-
-
-
-
-
-
9
I
=
9
8
1
I
9
9
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
1
4
4
5
18
14
8
27
S
=
1
-
6
SPIRIT
91
46
1
-
-
-
-
-
1+8
1+4
-
2+7
O
=
6
-
2
OF
21
12
3
-
1
4
4
5
9
5
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
-
16
-
14
THE SPIRIT OF GOD
171
90
18
-
1
4
4
5
9
5
8
9
-
-
1+6
-
1+4
-
1+7+1
9+0
1+8
-
-
-
-
-
-
-
-
-
-
-
7
-
5
THE SPIRIT OF GOD
9
9
9
-
1
4
4
5
9
5
8
9

 

 

-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
S
=
1
-
6
SPIRIT
91
46
1
G
=
7
-
3
GOD
26
17
8
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
THE
33
15
6
-
-
16
-
14
THE SPIRIT OF GOD
171
90
18
-
-
1+6
-
1+4
-
1+7+1
9+0
1+8
-
-
7
-
5
THE SPIRIT OF GOD
9
9
9

 

 

Wednesday 11 September 2013

THE MYSTERIES OF THE SNOWFLAKE

Pages 14/15/17/18

Mysteries of the snowflake: The curious world of ... - The Independent

› News › Environment › Nature‎

5 Jan 2013 - Mysteries of the snowflake: The curious world of the ice-crystal experts ... The ice crystals, nestling in the ice clouds as unborn snowflakes, ...

Everybody loves snow, right? But not many of us are obsessed, like the scientists who study these icy enigmas. Nicola Gill enters the curious world of 'dendrites' and 'plates'

Mathematician and philosopher René Descartes is one of many fine minds through the ages to be fascinated by snowflakes and to ponder how such perfection could be created.

While every flake really is a law unto itself, other supposed snow ‘facts’ are not quite so true. The oft-quoted idea that it’s ‘too cold to snow’ is nonsense (it snows at the South Pole where it’s rarely above -40C), and even the apparent truism that snow is white turns out to be slushy logic. Ice crystals are clear, like glass, but when they form a large pile, light is reflected off the surface, bounces around and eventually scatters back out. Since all colours are scattered roughly equally, snow only appears to be white.

These, and many other reasons, are why world-renowned snowflake obsessive, California-based Ken Libbrecht, has made it his life’s work to study, photograph and ‘grow’ snowflakes. The author of several beautiful books showcasing his favourite flakes out of the 7,000 he has photographed, he lives and breathes dendrites, rosettes and plates. “There is something magical about snowflakes,” he says from his laboratory in Pasadena. “You don’t often see such complex symmetry in nature and that makes them extraordinary. The whole intriguing structure of a snow crystal simply arises quite literally out of thin air, as it tumbles through the clouds. The way the crystal grows depends on the temperature it is shaped in – a simple enough idea to grasp – but the underlying physics is fiendishly complicated and has remained a puzzle. I spend a lot, and I mean a lot, of time thinking about this.”

Inevitably, though, the most common question is, how can Libbrecht be so sure no two snowflakes are ever identical? He likes to tell people that physics has a Zen-like answer, “which is that it depends largely on what you mean by the question. The short answer is that if you consider there’s over a trillion ways you could arrange 15 different books on your bookshelf, then the number of ways of making a complex snowflake is so staggeringly large that, over the history of our planet, I’m confident no two identical flakes have ever fallen. The long answer is more involved – depending on what you mean by ‘alike’ and ‘snowflake’. There could be some extremely small, simple-shaped crystals that looked so alike under a microscope as to be indistinguishable – and if you sifted through enough Arctic snow, where these simple crystals are common, you could probably find a few twins.”

The short answer is that if you consider there’s over a trillion ways you could arrange 15 different books on your bookshelf,

 

Letter frequency - Wikipedia, the free encyclopedia
"The most common letter in the English alphabet is E."

 

LOOK AT THE 5FIVES LOOK AT THE 5FIVES LOOK AT THE 5FIVES THE 5FIVES THE 5FIVES

LOOK AT THE 5 LOOK AT THE 5 LOOK AT THE 5 THE 5 THE 5

 

Letter Frequencies in the English Language
https://www3.nd.edu › handouts › cryptography › letter...

 

 

THE INDEPENDENT MAGAZINE

Wednesday 11 September 2013

Mysteries of the snowflake: The curious world of the ice-crystal experts.

Inevitably, though, the most common question is, how can Libbrecht be so sure no two snowflakes are ever identical? He likes to tell people that physics has a Zen-like answer, “which is that it depends largely on what you mean by the question. The short answer is that if you consider there’s over a trillion ways you could arrange 15 different books on your bookshelf, then the number of ways of making a complex snowflake is so staggeringly large that, over the history of our planet, I’m confident no two identical flakes have ever fallen. The long answer is more involved – depending on what you mean by ‘alike’ and ‘snowflake’. There could be some extremely small, simple-shaped crystals that looked so alike under a microscope as to be indistinguishable – and if you sifted through enough Arctic snow, where these simple crystals are common, you could probably find a few twins.”

"The short answer is that if you consider there’s over a trillion ways you could arrange 15 different books on your bookshelf,"

 

SORT OUT THE WHEAT FROM THE CHAFF

 

Letter Frequencies in the English Language
https://www3.nd.edu › handouts › cryptography › letter...

 

Why is the Letter E the Most Common Letter in the English ...
https://englishlanguagethoughts.com › 2018/04/08 › w...

 

LETTER NUMBER FREQUENCIES

 

L
=
3
-
6
LETTER
80
26
8
-
1
2
3
4
5
6
7
8
9
N
=
5
-
6
NUMBER
73
28
1
-
-
-
-
-
-
-
-
-
-
F
=
6
-
11
FREQUENCIES
122
68
5
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
23
First Total
275
122
14
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
L
=
3
1
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
6
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
26
-
6
-
80
26
26
-
-
-
-
-
-
-
-
-
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
8
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
B
=
2
10
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
28
-
6
-
73
28
28
-
-
-
-
-
-
-
-
-
-
F
=
6
13
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
14
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
Q
=
8
16
1
Q
17
8
8
-
-
-
-
-
-
-
-
8
-
U
=
3
17
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
18
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
20
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
I
=
9
21
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
S
=
1
23
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
59
-
11
-
122
68
59
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
6
12
4
40
6
7
8
36
L
=
3
-
6
LETTER
80
26
8
-
-
-
1+2
-
4+0
-
-
-
3+6
N
=
5
-
6
NUMBER
73
28
1
-
1
6
3
4
4
6
7
8
9
F
=
6
-
11
FREQUENCIES
122
68
5
-
-
-
-
-
-
-
-
-
-
-
-
14
-
23
First Total
275
122
14
-
1
6
3
4
4
6
7
8
9
-
-
1+4
-
2+3
Add to Reduce
2+7+5
1+2+2
1+4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
Second Total
14
5
5
-
1
6
3
4
4
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
Essence of Number
5
5
5
-
1
6
3
4
4
6
7
8
9

 

 

L
=
3
-
6
LETTER
80
26
8
-
1
2
3
4
5
6
7
8
9
N
=
5
-
6
NUMBER
73
28
1
-
-
-
-
-
-
-
-
-
-
F
=
6
-
11
FREQUENCIES
122
68
5
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
23
First Total
275
122
14
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
L
=
3
1
1
L
12
3
3
-
-
-
3
-
-
-
7
-
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
7
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
7
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
R
=
9
6
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
U
=
3
8
1
U
21
3
3
-
-
-
3
-
-
-
7
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
7
-
-
B
=
2
10
1
B
2
2
2
-
-
2
-
-
-
-
7
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
F
=
6
13
1
F
6
6
6
-
-
-
-
-
-
6
7
-
-
R
=
9
14
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
Q
=
8
16
1
Q
17
8
8
-
-
-
-
-
-
-
7
8
-
U
=
3
17
1
U
21
3
3
-
-
-
3
-
-
-
7
-
-
E
=
5
18
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
C
=
3
20
1
C
3
3
3
-
-
-
3
-
-
-
7
-
-
I
=
9
21
1
I
9
9
9
-
-
-
-
-
-
-
7
-
9
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
S
=
1
23
1
S
19
10
1
-
1
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
1
6
12
4
40
6
7
8
36
L
=
3
-
6
LETTER
80
26
8
-
-
-
1+2
-
4+0
-
-
-
3+6
N
=
5
-
6
NUMBER
73
28
1
-
1
6
3
4
4
6
7
8
9
F
=
6
-
11
FREQUENCIES
122
68
5
-
-
-
-
-
-
-
-
-
-
-
-
14
-
23
First Total
275
122
14
-
1
6
3
4
4
6
7
8
9
-
-
1+4
-
2+3
Add to Reduce
2+7+5
1+2+2
1+4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
Second Total
14
5
5
-
1
6
3
4
4
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
Essence of Number
5
5
5
-
1
6
3
4
4
6
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

L
=
3
-
6
LETTER
80
26
8
-
1
2
3
4
5
6
7
8
9
N
=
5
-
6
NUMBER
73
28
1
-
-
-
-
-
-
-
-
-
-
F
=
6
-
11
FREQUENCIES
122
68
5
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
23
First Total
275
122
14
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
23
1
S
19
10
1
-
1
-
-
-
-
-
7
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
7
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
7
-
-
B
=
2
10
1
B
2
2
2
-
-
2
-
-
-
-
7
-
-
L
=
3
1
1
L
12
3
3
-
-
-
3
-
-
-
7
-
-
U
=
3
8
1
U
21
3
3
-
-
-
3
-
-
-
7
-
-
U
=
3
17
1
U
21
3
3
-
-
-
3
-
-
-
7
-
-
C
=
3
20
1
C
3
3
3
-
-
-
3
-
-
-
7
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
7
-
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
E
=
5
18
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
F
=
6
13
1
F
6
6
6
-
-
-
-
-
-
6
7
-
-
Q
=
8
16
1
Q
17
8
8
-
-
-
-
-
-
-
7
8
-
R
=
9
6
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
R
=
9
14
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
I
=
9
21
1
I
9
9
9
-
-
-
-
-
-
-
7
-
9
-
-
-
-
-
-
-
-
-
-
1
6
12
4
40
6
7
8
36
L
=
3
-
6
LETTER
80
26
8
-
-
-
1+2
-
4+0
-
-
-
3+6
N
=
5
-
6
NUMBER
73
28
1
-
1
6
3
4
4
6
7
8
9
F
=
6
-
11
FREQUENCIES
122
68
5
-
-
-
-
-
-
-
-
-
-
-
-
14
-
23
First Total
275
122
14
-
1
6
3
4
4
6
7
8
9
-
-
1+4
-
2+3
Add to Reduce
2+7+5
1+2+2
1+4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
Second Total
14
5
5
-
1
6
3
4
4
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
Essence of Number
5
5
5
-
1
6
3
4
4
6
7
8
9

 

 

Letter Frequencies in the English Language
https://www3.nd.edu › handouts › cryptography › letter...

 

Why is the Letter E the Most Common Letter in the English ...
https://englishlanguagethoughts.com › 2018/04/08 › w...

8 Apr 2018 — The letter makes up 12.702% of the letters in an average text, and is the most commonly-used letter in English. The next most frequently-used ...This is a question I’ve been asking myself ruefully these last few days. The E on my keyboard hasn’t been very coöperative, insisting that I bang it at least a few times for it to make the letter E appear on the screen. This has made me really… appreciate, for wont of a better word, just how often we have to use the letter E.

Letter Frequencies in the English Language
https://www3.nd.edu › handouts › cryptography › letter...

 

 

10
CODE DE CODE
67
13
4
6
C+O
18
9
9
4
D+E
9
9
9
4
D+E
9
9
9
6
C+O
18
9
9
4
D+E
9
9
9
10
CODE DE CODE
63
36
36
1+0
-
6+3
3+6
3+6
1
CODE DE CODE
9
9
9

 

 

1
I
9
9
9
3
SAY
45
9
9
7
DECODER
54
36
9
6
DECODE
36
27
9
4
CODE
27
18
9
-
-
-
-
-
-
-
-
-
-
5
CODED
31
22
4
5
CODES
46
19
1

 

 

-
CODE
--
-
-
2
C+O
18
9
9
2
D+E
9
9
9
-
DECODE
--
-
-
2
D+E
9
9
9
2
C+O
18
9
9
2
D+E
9
9
9
-
DECODER
--
-
-
2
D+E
9
9
9
2
C+O
18
9
9
2
D+E
9
9
9
1
R
18
9
9

 

CODE DE CODE

C+O D+E D+E C+O D+E

9+9+9+9+9

C+O D+E D+E C+O D+E

CODE DE CODE

 

 

SACRED NUMBER

THE SECRET QUALITIES OF QUANTITIES

Miranda Lundy 2009

 

-
-
-
-
24
THE QUALITIES OF QUANTITIES
-
-
-
T
=
2
-
3
THE
33
15
6
Q
=
8
-
9
QUALITIES
113
41
5
O
=
6
-
2
OF
21
12
3
Q
=
8
-
10
QUANTITIES
135
45
9
-
-
24
-
24
THE QUALITIES OF QUANTITIES
302
113
23
-
-
2+4
-
2+4
-
3+0+2
1+1+3
2+3
-
-
6
-
6
THE QUALITIES OF QUANTITIES
5
5
9

 

 

SACRED NUMBER

THE SECRET QUALITIES OF QUANTITIES

Miranda Lundy 2009

 

-
-
-
-
24
THE SECRET QUALITIES OF QUANTITIES
-
-
-
T
=
2
-
3
THE
33
15
6
S
=
1
-
6
SECRET
70
25
7
Q
=
8
-
9
QUALITIES
113
41
5
O
=
6
-
2
OF
21
12
3
Q
=
8
-
10
QUANTITIES
135
45
9
-
-
25
-
30
THE SECRET QUALITIES OF QUANTITIES
372
138
30
-
-
2+5
-
3+0
-
3+7+2
1+3+8
3+0
-
-
7
-
3
THE SECRET QUALITIES OF QUANTITIES
12
12
3
-
-
-
-
-
-
1+2
1+2
-
-
-
7
-
3
THE SECRET QUALITIES OF QUANTITIES
3
3
3

 

 

-
-
-
-
24
THE ESOTERIC QUALITIES OF QUANTITIES
-
-
-
T
=
2
-
3
THE
33
15
6
E
=
5
-
8
ESOTERIC
94
40
8
Q
=
8
-
9
QUALITIES
113
41
5
O
=
6
-
2
OF
21
12
3
Q
=
8
-
10
QUANTITIES
135
45
9
-
-
29
-
32
THE ESOTERIC QUALITIES OF QUANTITIES
396
153
27
-
-
2+9
-
3+2
-
3+9+6
1+5+3
2+7
-
-
11
-
5
THE ESOTERIC QUALITIES OF QUANTITIES
18
9
9
-
-
1+1
-
-
-
1+8
-
-
-
-
2
-
5
THE ESOTERIC QUALITIES OF QUANTITIES
9
9
9

 

 

-
EXOTERIC
-
-
-
5
EXOTE
69
24
6
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
EXOTERIC
99
45
27
-
-
9+9
4+5
2+7
8
EXOTERIC
18
9
9
-
-
1+8
5+4
2+7
8
EXOTERIC
9
9
9

 

 

8
EXOTERIC
99
45
9
8
ESOTERIC
94
40
4

 

 

8
EXOTERIC
99
45
9
8
ESOTERIC
94
40
4
16
First Total
193
85
13
1+6
Add to Reduce
1+9+3
8+5
1+3
7
Second Total
13
13
4
8
Reduce to Deduce
1+3
1+3
-
7
Essence of Number
4
4
4

 

 

-
ESOTERIC
-
-
-
5
ESOTE
64
19
1
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ESOTERIC
94
40
22
-
-
9+4
4+0
2+2
8
ESOTERIC
13
4
4
-
-
1+3
-
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
1
E
5
5
5
1
S
19
10
1
1
O
15
6
6
1
T
20
2
2
1
E
5
5
5
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ESOTERIC
94
49
40
-
-
9+4
4+9
4+0
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
1
E
5
5
5
3
SOT
54
18
9
1
E
5
5
5
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ESOTERIC
94
49
40
-
-
9+4
4+9
4+0
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
5
ESOTE
64
28
1
1
R
18
9
9
1
I
9
9
9
1
C
3
3
3
8
ESOTERIC
94
49
40
-
-
9+4
4+9
4+0
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
1
I
9
9
9
6
SECRET
70
34
7
1
O
15
6
6
8
ESOTERIC
94
49
22
-
-
9+4
4+9
2+2
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

-
ESOTERIC
-
-
-
1
O
15
6
6
6
SECRET
70
34
7
1
I
9
9
9
8
ESOTERIC
94
49
22
-
-
9+4
4+9
2+2
8
ESOTERIC
13
13
4
-
-
1+3
1+3
-
8
ESOTERIC
4
4
4

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

THE BULL OF MINOS

Leonard Cottrell 1953

Chapter VII

Page 90

THE QUEST CONTINUES

"OUT IN THE DARK BLUE SEA THERE LIES A LAND CALLED CRETE, A RICH AND LOVELY LAND,

WASHED BY THE WAVES ON EVERY SIDE, DENSELY PEOPLED AND BOASTING NINETY CITIES. . .

ONE OF THE NINETY TOWNS IS A GREAT CITY CALLED KNOSSOS, AND THERE FOR NINE YEARS,

KING MINOS RULED AND ENJOYED THE FRIENDSHIP OF ALMIGHTY ZEUS

SUN 9 9 SUN

EARTH 7 7 EARTH

MOON 3 3 MOON

JUPITER 99 99 JUPITER

 

 

Benford's law - Wikipedia
https://en.wikipedia.org/wiki/Benford%27s_law Cached

Benford's law, also called Newcomb-Benford's law, law of anomalous numbers, and first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical ... For example, in sets that obey the law, the number 1 appears as the most significant digit about 30% of the time, while 9 ...
Benford's law, also called the Newcomb–Benford law, the law of anomalous numbers, or the first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data. The law states that in many naturally occurring collections of numbers, the leading digit is likely to be small.[1] In sets that obey the law, the number 1 appears as the leading significant digit about 30 % of the time, while 9 appears as the leading significant digit less than 5 % of the time. If the digits were distributed uniformly, they would each occur about 11.1 % of the time.[2] Benford's law also makes predictions about the distribution of second digits, third digits, digit combinations, and so on.

The graph to the right shows Benford's law for base 10, one of infinitely many cases of a generalized law regarding numbers expressed in arbitrary (integer) bases, which rules out the possibility that the phenomenon might be an artifact of the base 10 number system. Further generalizations were published in 1995[3] including analogous statements for both the nth leading digit as well as the joint distribution of the leading n digits, the latter of which leads to a corollary wherein the significant digits are shown to be a statistically dependent quantity.

It has been shown that this result applies to a wide variety of data sets, including electricity bills, street addresses, stock prices, house prices, population numbers, death rates, lengths of rivers, and physical and mathematical constants.[4] Like other general principles about natural data—for example the fact that many data sets are well approximated by a normal distribution—there are illustrative examples and explanations that cover many of the cases where Benford's law applies, though there are many other cases where Benford's law applies that resist a simple explanation.[5] It tends to be most accurate when values are distributed across multiple orders of magnitude, especially if the process generating the numbers is described by a power law (which is common in nature).

The law is named after physicist Frank Benford, who stated it in 1938 in a paper titled "The Law of Anomalous Numbers",[6] although it had been previously stated by Simon Newcomb in 1881.[7][8]

The law is similar in concept, though not identical in distribution, to Zipf's law.

History
The discovery of Benford's law goes back to 1881, when the Canadian-American astronomer Simon Newcomb noticed that in logarithm tables the earlier pages (that started with 1) were much more worn than the other pages.[7] Newcomb's published result is the first known instance of this observation and includes a distribution on the second digit, as well. Newcomb proposed a law that the probability of a single number N being the first digit of a number was equal to log(N + 1) - log(N).

The phenomenon was again noted in 1938 by the physicist Frank Benford,[6] who tested it on data from 20 different domains and was credited for it. His data set included the surface areas of 335 rivers, the sizes of 3259 US populations, 104 physical constants, 1800 molecular weights, 5000 entries from a mathematical handbook, 308 numbers contained in an issue of Reader's Digest, the street addresses of the first 342 persons listed in American Men of Science and 418 death rates. The total number of observations used in the paper was 20,229. This discovery was later named after Benford (making it an example of Stigler's law).

In 1995, Ted Hill proved the result about mixed distributions mentioned below.[13][14]

Explanations
Overview
Benford's law tends to apply most accurately to data that span several orders of magnitude. As a rule of thumb, the more orders of magnitude that the data evenly covers, the more accurately Benford's law applies. For instance, one can expect that Benford's law would apply to a list of numbers representing the populations of UK settlements. But if a "settlement" is defined as a village with population between 300 and 999, then Benford's law will not apply.[15][16]

Consider the probability distributions shown below, referenced to a log scale. In each case, the total area in red is the relative probability that the first digit is 1, and the total area in blue is the relative probability that the first digit is 8. For the first distribution, the size of the areas of red and blue are approximately proportional to the widths of each red and blue bar. Therefore, the numbers drawn from this distribution will approximately follow Benford's law. On the other hand, for the second distribution, the ratio of the areas of red and blue is very different from the ratio of the widths of each red and blue bar. Rather, the relative areas of red and blue are determined more by the height of the bars than the widths. Accordingly, the first digits in this distribution do not satisfy Benford's law at all.[16]

 

Recurring transposition

The Latin alphabet (the alphabet used to transcribe the English language along with many others into the written word) spread, in tandem with the Latin language, from the Italian Peninsula to the people populating lands surrounding the Mediterranean Sea as the Roman Empire expanded. While the eastern half of this Empire, including Greece, Turkey, the Levant, and Egypt, continued to use Greek as a lingua franca, Latin became widely spoken in the western section, and obviously as the western Romance languages evolved out of Latin, they retained the Latin alphabet which they used as an underlying structure as they adapted their individual tongues.

As Western Christianity spread during the Middle Ages, the script was gradually adopted by the peoples of northern Europe who spoke Celtic languages(displacing the Ogham alphabet) or Germanic languages (displacing earlier Runic alphabets), Baltic languages, as well as by the speakers of several Uralic languages, most notably Hungarian, Finnish and Estonian. The Latin alphabet also came into use for writing the West Slavic languages and several South Slavic languages, as those who spoke them embraced Roman Catholicism.

The transposition of letters to number is in reality a simple substitution cipher, but translation of English language words into number using this template results in many words becoming powerful zeitgeist representative patterns.

 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

Resolved down to single digits, there are

3 Letters with the numeric value of 1 = A, J & S

3 Letters with the numeric value of 2 = B, K & T

3 Letters with the numeric value of 3 = C, L & U

3 Letters with the numeric value of 4 = D, M & V

3 Letters with the numeric value of 5 = E, N & W

3 Letters with the numeric value of 6 = F, O & X

3 Letters with the numeric value of 7 = G, P & Y

3 Letters with the numeric value of 8 = H, Q & Z

2 Letters with the numeric value of 9 = I & R

9 finds itself powerful and frequent recurrence in capitalism originated patterns as 99, owing to it desirability as a wheedling technique to dupe humankind into materialism by making a purchase seem cheaper and therefore more attractive.

Working in number patterns can be far more demonstrative in terms of questions that determine say the frequency of recurrence of for instance single digit numbers 1 to 9, that have been evolved from a word made up from the alphabet above. For instance, of we examine the question in how many ways can 9 books be arranged on a shelf?

Assuming that all the books are distinct from one another and only they occupy the shelf.

There are:

….9 options in which to put the first book in place.

….8 options for placement of the second book after putting the first book in place.

….7 options for placement of the third book after putting the second book in place.

….6 options for placement of the fourth book after putting the third book in place.
….5 options for placement of the fifth book after putting the fourth book in place.
….4 options for placement of the sixth book after putting the fifth book in place.

….3 options for placement of the seventh book after putting the sixth book in place.

….2 options for placement of the eighth book after putting the seventh book in place.

….1 option for placement of the ninth book after putting the eighth book in place.

Multiply all the different number of ways together and we step deeper into mathematics and encounter what is known as nine factorial or 9!.

9! = 362880

What are Factorials? Fundamentally they are very simple things. They're really just products, indicated by an exclamation mark. For instance, "four factorial" is written as "4!" and actually means the result of multiplying of all numbers that make up that number 1×2×3×4 = 24. In general, n! ("enn factorial") means the product of all the whole numbers from 1 to n; that is, n! = 1×2×3×...×n.

 Therefore 5! [5 being what we refer to as the number of balance] = 1x2x3x4x5 = 120

 

Thus returning to our power number 9 we have 9! = 1x2x3x4x5x6x7x8x9 = 362880

Well, what are the practical applications of factorial numbers? Well there is an immediately obvious capitalistic application, and in the interests of honesty and glasnost, despite the truth that gambling is a desperately debilitating spinoff sickness of capitalism, it is a system of value in any card game. For if you wish to calculate (or even estimate) the probability of favourable outcomes in any other area beside the number of books sequences on a shelf, you simply have to have a working knowledge of factorials.

Besides that 9 finds itself to be a powerful and frequent recurrence in capitalism originated patterns as 99, owing to it desirability as a wheedling technique to dupe humankind into an excess of materialism by making a purchase seem cheaper and therefore more attractive. The probability of purchase of an item that is priced at 99.99 whatever the currency unit is far higher. The power of nine is very evident across the spectrum of power both good and bad

That is perhaps unwanted digression in terms of the pragmatic use of factorial numbers for good.  For Combinatorics is much more than "arranging number of items [like the books]". The asymptotic behaviour of factorial is important (here again computer scientists would be drooling). The tools of calculus are powerful ask any computer scientist

If you have nn objects and you want to pick kk of them, the number of possible choice is a number called (nk)(nk)which is equal to n!k!(n−k)!n!k!(n−k)!. 

Then there’s Benford’s law. Reputedly the phenomenon that would later be called Benfords law was discovered and first subjectively published by an astronomer Simon Newcomb (1835-1909). The application of Benford's Law in everyday-life numbers has been advanced by showing that it arises naturally when one considers mixtures of uniform distributions.

Benford's law, also called the first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data. The law states that in many naturally occurring collections of numbers, the leading significant digit is likely to be small. It is a law of digit bias.

Frank Benford was a physicist at General Electric research laboratories who had begun to analyse the laws revealed by Simon Newcomb. Newcomb had noticed that the early pages of a book of logarithms were well thumbed by comparison with the rest of the tome. His conclusion was that numbers that begin with lower digits occur more frequently than those starting with higher digits. Therefore the digit 1 at the beginning of a number would occur more frequently than the digit 2, thus 2 would occur more frequently than the digit 3, ergo 3 would occur more frequently than the digit 4 and so on. Therefore, the least frequently occurring number would begin with the digit 9, perhaps giving an indication of its special powers and why it is revered.

He analysed 20,000 lists of everything ranging from the populations of different cities or countries through American baseball league results to electricity bills on the Solomon Islands. He concluded that the highest occurrence as the first digit of any given number was 1. Borrowing from calculus Benford the formulated a series of equations that calculated the anticipated frequency of single digit numbers as the initial digit of any given number, which became the foundation stone of Benford’s Law.

In general is has been noted that a series of numerical records follow Benford’s Law when they represent the magnitude of events, such as population of cities, flows of water in rivers or sizes of celestial bodies. And do not have pre-established maximum and minimum. Which, perhaps is why transposition of English alphabet words and sentences into number yield such rich intellectual pickings in terms of determining and tracking the course and gravity of events be they current or historic, scientific, cultural or sociological.

 

Calculating probability

Probability = number of successful outcomes/number of possible outcomes.

[probability equals the number of successful outcomes divided by the number of possible outcomes.]

The scenario: Nine balls, each marked with a number 1 to 9, are placed in a bag and one ball is taken out at random. What is the probability that the number on the ball taken out is:

A] odd,

B] a multiple of 3,

C] a 5, [you could do it mathematically with all the fives occurring in the 26 letters of the alphabet, but then compare it with all the 5s that tend to occur in words transposed into number!!]

D] not a 7

Solution

A] There a 5 odd numbers, so

p (odd) = 5/9 55.6 % chance

B] There are 3 numbers that are multiples of 3, so

P (multiples of 3) = 3/9 = 1/3 = 33.33 % chance

C] There is only 1 ball numbered 5, so

P (5) = 1/9 = 1.11%

D] There are 8 numbers that are not 7

P (not 7) = 8/9 = 88.9% chance

https://www.cimt.org.uk/projects/mepres/book8/bk8_10.pdf

Andrew M McTiernan

 

 

F
=
6
-
9
FACTORIAL
85
40
4
-
1
2
3
4
5
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -11
-
16
First Total
177
78
6
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
1
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
A
=
1
2
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
C
=
3
3
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
O
=
6
5
1
O
6
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
6
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
-
-
40
-
9
-
85
40
40
-
-
-
-
-
-
-
-
-
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
11
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
12
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
B
=
2
13
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
15
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
29
-
7
-
92
38
29
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
9
FACTORIAL
85
40
4
-
3
4
9
4
10
12
7
8
27
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
1+0
1+2
-
-
2+7
-
-
-11
-
16
First Total
177
78
6
-
3
4
9
4
1
3
7
8
9
-
-
1+1
-
2+3
Add to Reduce
1+7+7
7+8
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Second Total
15
15
6
-
3
4
9
4
1
3
7
8
9
-
-
-
-
-
Reduce to Deduce
1+5
1+5
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Essence of Number
6
6
6
-
3
4
9
4
1
3
7
8
9

 

 

F
=
6
-
9
FACTORIAL
85
40
4
-
1
2
3
4
5
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -11
-
16
First Total
177
78
6
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
1
1
F
6
6
6
-
-
-
-
-
-
6
7
8
-
A
=
1
2
1
A
1
1
1
-
1
-
-
-
-
-
7
8
-
C
=
3
3
1
C
3
3
3
-
-
-
3
-
-
-
7
8
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
7
8
-
O
=
6
5
1
O
6
6
6
-
-
-
-
-
-
6
7
8
-
R
=
9
6
1
R
18
9
9
-
-
-
-
-
-
-
7
8
9
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
7
8
9
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
-
7
8
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
7
8
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
-
7
8
-
U
=
3
11
1
U
21
3
3
-
-
-
3
-
-
-
7
8
-
M
=
4
12
1
M
13
4
4
-
-
-
-
4
-
-
7
8
-
B
=
2
13
1
B
2
2
2
-
-
2
-
-
-
-
7
8
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
7
8
-
R
=
9
15
1
R
18
9
9
-
-
-
-
-
-
-
7
8
9
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
8
-
F
=
6
-
9
FACTORIAL
85
40
4
-
3
4
9
4
10
12
7
8
27
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
1+0
1+2
-
-
2+7
-
-
-11
-
16
First Total
177
78
6
-
3
4
9
4
1
3
7
8
9
-
-
1+1
-
2+3
Add to Reduce
1+7+7
7+8
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Second Total
15
15
6
-
3
4
9
4
1
3
7
8
9
-
-
-
-
-
Reduce to Deduce
1+5
1+5
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Essence of Number
6
6
6
-
3
4
9
4
1
3
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED INTO NUMERICAL ORDER

 

F
=
6
-
9
FACTORIAL
85
40
4
-
1
2
3
4
5
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -11
-
16
First Total
177
78
6
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
2
1
A
1
1
1
-
1
-
-
-
-
-
7
8
-
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
-
7
8
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
7
8
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
7
8
-
B
=
2
13
1
B
2
2
2
-
-
2
-
-
-
-
7
8
-
C
=
3
3
1
C
3
3
3
-
-
-
3
-
-
-
7
8
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
7
8
-
U
=
3
11
1
U
21
3
3
-
-
-
3
-
-
-
7
8
-
M
=
4
12
1
M
13
4
4
-
-
-
-
4
-
-
7
8
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
-
7
8
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
7
8
-
F
=
6
1
1
F
6
6
6
-
-
-
-
-
-
6
7
8
-
O
=
6
5
1
O
6
6
6
-
-
-
-
-
-
6
7
8
-
R
=
9
6
1
R
18
9
9
-
-
-
-
-
-
-
7
8
9
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
7
8
9
R
=
9
15
1
R
18
9
9
-
-
-
-
-
-
-
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
8
-
F
=
6
-
9
FACTORIAL
85
40
4
-
3
4
9
4
10
12
7
8
27
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
1+0
1+2
-
-
2+7
-
-
-11
-
16
First Total
177
78
6
-
3
4
9
4
1
3
7
8
9
-
-
1+1
-
2+3
Add to Reduce
1+7+7
7+8
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Second Total
15
15
6
-
3
4
9
4
1
3
7
8
9
-
-
-
-
-
Reduce to Deduce
1+5
1+5
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Essence of Number
6
6
6
-
3
4
9
4
1
3
7
8
9

 

 

F
=
6
-
9
FACTORIAL
85
40
4
-
1
2
3
4
5
6
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
 -11
-
16
First Total
177
78
6
-
1
2
3
4
5
6
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
2
1
A
1
1
1
-
1
-
-
-
-
-
-
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
-
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
B
=
2
13
1
B
2
2
2
-
-
2
-
-
-
-
-
C
=
3
3
1
C
3
3
3
-
-
-
3
-
-
-
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
-
U
=
3
11
1
U
21
3
3
-
-
-
3
-
-
-
-
M
=
4
12
1
M
13
4
4
-
-
-
-
4
-
-
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
-
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
F
=
6
1
1
F
6
6
6
-
-
-
-
-
-
6
-
O
=
6
5
1
O
6
6
6
-
-
-
-
-
-
6
-
R
=
9
6
1
R
18
9
9
-
-
-
-
-
-
-
9
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
9
R
=
9
15
1
R
18
9
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
9
FACTORIAL
85
40
4
-
3
4
9
4
10
12
27
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
1+0
1+2
2+7
-
-
-11
-
16
First Total
177
78
6
-
3
4
9
4
1
3
9
-
-
1+1
-
2+3
Add to Reduce
1+7+7
7+8
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Second Total
15
15
6
-
3
4
9
4
1
3
9
-
-
-
-
-
Reduce to Deduce
1+5
1+5
-
-
-
-
-
-
-
-
-
-
-
2
-
5
Essence of Number
6
6
6
-
3
4
9
4
1
3
9

 

 

S
=
-
3
11
SERENDIPITY
144
63
9
C
=
-
4
6
CHANCE
34
25
7
C
=
-
1
11
COINCIDENCE
84
57
3
-
-
-
8
28
First Total
262
145
19
-
-
-
-
2+8
Add to Reduce
2+6+2
1+4+5
1+9
-
-
-
8
10
Second Total
10
10
10
-
-
-
-
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
8
1
Essence of Number
1
1
1

 

 

S
=
-
3
11
SERENDIPITY
144
63
9
-
1
2
3
4
5
6
7
8
9
C
=
-
4
6
CHANCE
34
25
7
-
-
-
-
-
-
-
-
-
-
C
=
-
1
11
COINCIDENCE
84
57
3
-
-
-
-
-
-
-
-
-
-
-
-
-
8
28
First Total
262
145
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
4
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
10
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
11
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
63
-
11
-
144
63
63
-
-
-
-
-
-
-
-
-
-
C
=
3
12
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
A
=
1
14
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
16
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
17
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
15
-
6
-
34
25
25
-
-
-
-
-
-
-
-
-
-
C
=
3
18
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
O
=
6
19
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
20
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
21
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
22
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
I
=
9
23
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
D
=
4
24
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
25
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
27
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
57
-
11
-
84
57
57
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
2
15
8
45
6
14
8
45
S
=
-
3
11
SERENDIPITY
144
63
9
-
-
-
1+5
-
4+5
-
1+4
-
4+5
C
=
-
4
6
CHANCE
34
25
7
-
2
2
6
8
9
6
5
8
9
C
=
-
1
11
COINCIDENCE
84
57
3
-
-
-
-
-
-
-
-
-
-
-
-
-
8
28
First Total
262
145
19
-
2
2
6
8
9
6
5
8
9
-
-
-
-
2+8
Add to Reduce
2+6+2
1+4+5
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
8
10
Second Total
10
10
10
-
2
2
6
8
9
6
5
8
9
-
-
-
-
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
8
1
Essence of Number
1
1
1
-
2
2
6
8
9
6
5
8
9

 

 

S
=
-
3
11
SERENDIPITY
144
63
9
-
1
2
3
4
5
6
7
8
9
C
=
-
4
6
CHANCE
34
25
7
-
-
-
-
-
-
-
-
-
-
C
=
-
1
11
COINCIDENCE
84
57
3
-
-
-
-
-
-
-
-
-
-
-
-
-
8
28
First Total
262
145
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
4
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
10
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
Y
=
7
11
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
C
=
3
12
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
A
=
1
14
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
16
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
17
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
18
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
O
=
6
19
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
20
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
21
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
22
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
I
=
9
23
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
D
=
4
24
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
25
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
C
=
3
27
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
2
15
8
45
6
14
8
45
S
=
-
3
11
SERENDIPITY
144
63
9
-
-
-
1+5
-
4+5
-
1+4
-
4+5
C
=
-
4
6
CHANCE
34
25
7
-
2
2
6
8
9
6
5
8
9
C
=
-
1
11
COINCIDENCE
84
57
3
-
-
-
-
-
-
-
-
-
-
-
-
-
8
28
First Total
262
145
19
-
2
2
6
8
9
6
5
8
9
-
-
-
-
2+8
Add to Reduce
2+6+2
1+4+5
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
8
10
Second Total
10
10
10
-
2
2
6
8
9
6
5
8
9
-
-
-
-
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
8
1
Essence of Number
1
1
1
-
2
2
6
8
9
6
5
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED INTO NUMERICAL ORDER

 

S
=
-
3
11
SERENDIPITY
144
63
9
-
1
2
3
4
5
6
7
8
9
C
=
-
4
6
CHANCE
34
25
7
-
-
-
-
-
-
-
-
-
-
C
=
-
1
11
COINCIDENCE
84
57
3
-
-
-
-
-
-
-
-
-
-
-
-
-
8
28
First Total
262
145
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
A
=
1
14
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
T
=
2
10
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
C
=
3
16
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
C
=
3
12
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
C
=
3
18
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
C
=
3
22
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
C
=
3
27
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
D
=
4
24
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
4
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
5
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
17
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
21
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
25
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
26
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
19
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
P
=
7
8
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
11
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
13
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
20
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
23
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
2
2
15
8
45
6
14
8
45
S
=
-
3
11
SERENDIPITY
144
63
9
-
-
-
1+5
-
4+5
-
1+4
-
4+5
C
=
-
4
6
CHANCE
34
25
7
-
2
2
6
8
9
6
5
8
9
C
=
-
1
11
COINCIDENCE
84
57
3
-
-
-
-
-
-
-
-
-
-
-
-
-
8
28
First Total
262
145
19
-
2
2
6
8
9
6
5
8
9
-
-
-
-
2+8
Add to Reduce
2+6+2
1+4+5
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
8
10
Second Total
10
10
10
-
2
2
6
8
9
6
5
8
9
-
-
-
-
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
8
1
Essence of Number
1
1
1
-
2
2
6
8
9
6
5
8
9

 

 

S
=
-
1
11
SERENDIPITY
144
63
9
T
=
-
2
3
THE
33
15
6
H
=
-
8
5
HAPPY
66
30
3
A
=
-
1
3
ART
39
12
3
O
=
-
6
2
OF
21
12
3
C
=
-
3
6
CHANCE
34
25
7
-
-
-
21
30
First Total
337
157
31
-
-
-
2+1
3+0
Add to Reduce
3+3+7
1+5+7
3+1
-
-
-
3
3
Second Total
13
13
4
-
-
-
-
-
Reduce to Deduce
1+3
1+3
-
-
-
-
3
3
Essence of Number
4
4
4

 

 

T
=
-
2
3
THE
33
15
6
H
=
-
8
5
HAPPY
66
30
3
A
=
-
1
3
ART
39
12
3
O
=
-
6
2
OF
21
12
3
C
=
-
3
6
CHANCE
34
25
7
-
-
-
20
19
First Total
193
94
22
-
-
-
2+0
1+9
Add to Reduce
1+9+3
9+4
2+2
-
-
-
2
10
Second Total
13
13
4
-
-
-
-
1+0
Reduce to Deduce
1+3
1+3
-
-
-
-
2
1
Essence of Number
4
4
4

 

 

-
-
-
-
13
SYNCHRONICITY
-
-
-
S
=
1
1
1
S
19
10
1
Y
=
7
2
1
Y
25
7
7
N
=
5
3
1
N
14
5
5
C
=
3
4
1
C
3
3
3
H
=
8
5
1
H
8
8
8
R
=
9
6
1
R
18
9
9
O
=
6
7
2
O
15
6
6
N
=
5
8
1
N
14
5
5
I
=
9
9
1
I
9
9
9
C
=
3
10
1
C
3
3
3
I
=
9
11
1
I
9
9
9
T
=
2
12
1
T
20
2
2
Y
=
7
13
1
Y
25
7
7
-
-
16
-
13
SYNCHRONICITY
182
83
74
-
-
1+6
-
1+3
-
1+8+2
8+3
7+4
-
-
7
-
4
SYNCHRONICITY
11
11
11
-
-
1+6
-
-
-
1+1
1+1
1+1
-
-
7
-
4
SYNCHRONICITY
2
2
2

 

 

J
=
1
-
6
JOSEPH
73
28
1
J
=
1
-
5
JESUS
74
11
2
M
=
4
-
4
MARY
57
21
3
-
-
6
-
15
-
204
60
6
-
-
-
-
1+5
-
2+0+4
6+0
-
-
-
-
-
6
-
6
6
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
JOSEPH
1
6+1
7
-
-
-
-
5
JESUS
2
5+2
7
-
-
-
-
4
MARY
3
4+3
7

 

 


RE LIGI ON LIGHT ON RE RE ON LIGHT RE LIGI ON

 

 

-
-
-
-
-
SERENE
-
-
-
-
-
-
-
1
S
19
10
1
-
-
-
-
1
E
5
5
5
-
-
-
-
1
R
18
9
9
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
-
-
-
-
1
E
5
5
5
S
=
1
-
6
SERENE
66
39
30
-
-
-
-
-
-
6+6
3+9
3+0
S
=
1
-
6
SERENE
12
12
3
-
-
-
-
-
-
1+2
1+2
-
S
=
1
-
6
SERENE
3
3
3

 

 

GOD NUMBERS

 

G
=
7
-
3
GOD
26
17
8
-
1
2
3
4
5
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -12
-
10
First Total
118
55
10
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
1
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
D
=
4
3
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
-
-
17
-
3
-
26
17
17
-
-
-
-
-
-
-
-
-
-
N
=
5
4
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
5
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
6
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
B
=
2
7
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
9
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
10
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
11
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
29
-
7
-
92
38
29
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
1
2
3
8
10
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
1+0
-
-
-
-
-
-
 -12
-
10
First Total
118
55
10
-
1
2
3
8
1
6
7
8
9
-
-
1+2
-
1+0
Add to Reduce
1+1+8
5+5
1+0
-
-
-
-
-
-
-
-
-
-
-
-
3
-
1
Second Total
10
10
1
-
1
2
3
8
1
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
1
Essence of Number
1
1
1
-
1
2
3
8
1
6
7
8
9

 

 

G
=
7
-
3
GOD
26
17
8
-
1
2
3
4
5
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -12
-
10
First Total
118
55
10
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
1
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
D
=
4
3
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
N
=
5
4
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
U
=
3
5
1
U
21
3
3
-
-
-
3
-
-
-
-
8
-
M
=
4
6
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
B
=
2
7
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
E
=
5
8
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
S
=
1
10
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
1
2
3
8
10
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
1+0
-
-
-
-
-
-
 -12
-
10
First Total
118
55
10
-
1
2
3
8
1
6
7
8
9
-
-
1+2
-
1+0
Add to Reduce
1+1+8
5+5
1+0
-
-
-
-
-
-
-
-
-
-
-
-
3
-
1
Second Total
10
10
1
-
1
2
3
8
1
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
1
Essence of Number
1
1
1
-
1
2
3
8
1
6
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED INTO NUMERICAL ORDER

 

G
=
7
-
3
GOD
26
17
8
-
1
2
3
4
5
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -12
-
10
First Total
118
55
10
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
10
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
B
=
2
7
1
B
2
2
2
-
-
2
-
-
-
-
-
8
-
U
=
3
5
1
U
21
3
3
-
-
-
3
-
-
-
-
8
-
D
=
4
3
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
M
=
4
6
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
N
=
5
4
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
8
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
1
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
R
=
9
9
1
R
18
9
9
-
-
-
-
-
-
-
-
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
1
2
3
8
10
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
1+0
-
-
-
-
-
-
 -12
-
10
First Total
118
55
10
-
1
2
3
8
1
6
7
8
9
-
-
1+2
-
1+0
Add to Reduce
1+1+8
5+5
1+0
-
-
-
-
-
-
-
-
-
-
-
-
3
-
1
Second Total
10
10
1
-
1
2
3
8
1
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
1
Essence of Number
1
1
1
-
1
2
3
8
1
6
7
8
9

 

 

THE GOD NUMBERS

 

T
=
2
-
3
THE
33
15
6
-
1
2
3
4
5
6
7
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
13
Add to Reduce
151
70
16
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
15
-
3
-
33
15
15
-
-
-
-
-
-
-
-
-
-
G
=
7
4
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
-
-
12
-
2
-
21
12
12
-
-
-
-
-
-
-
-
-
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
8
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
B
=
2
10
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
13
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
29
-
7
-
92
38
29
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
4
3
8
15
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
1+5
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
1
4
3
8
6
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
13
Add to Reduce
151
70
16
-
1
4
3
8
6
6
7
8
9
-
-
1+4
-
1+3
Reduce to Deduce
1+5+1
7+0
1+6
-
-
-
-
-
-
-
-
-
-
-
-
5
-
4
Essence of Number
7
7
7
-
1
4
3
8
6
6
7
8
9

 

 

T
=
2
-
3
THE
33
15
6
-
1
2
3
4
5
6
7
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
13
Add to Reduce
151
70
16
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
G
=
7
4
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
8
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
B
=
2
10
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
13
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
4
3
8
15
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
1+5
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
1
4
3
8
6
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
13
Add to Reduce
151
70
16
-
1
4
3
8
6
6
7
8
9
-
-
1+4
-
1+3
Reduce to Deduce
1+5+1
7+0
1+6
-
-
-
-
-
-
-
-
-
-
-
-
5
-
4
Essence of Number
7
7
7
-
1
4
3
8
6
6
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED INTO NUMERICAL ORDER

 

T
=
2
-
3
THE
33
15
6
-
1
2
3
4
5
6
7
8
9
G
=
7
-
3
GOD
26
17
8
-
-
-
-
-
-
-
-
-
-
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
13
Add to Reduce
151
70
16
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
13
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
B
=
2
10
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
8
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
M
=
4
9
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
7
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
G
=
7
4
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
1
4
3
8
15
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
1+5
-
-
-
-
G
=
7
-
3
GOD
26
17
8
-
1
4
3
8
6
6
7
8
9
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
 -14
-
13
Add to Reduce
151
70
16
-
1
4
3
8
6
6
7
8
9
-
-
1+4
-
1+3
Reduce to Deduce
1+5+1
7+0
1+6
-
-
-
-
-
-
-
-
-
-
-
-
5
-
4
Essence of Number
7
7
7
-
1
4
3
8
6
6
7
8
9

 

 

 

 

-
-
-
-
14
THE SPIRIT OF GOD
-
-
-
T
=
2
-
3
THE
33
15
6
S
=
1
-
6
SPIRIT
91
46
1
O
=
6
-
2
OF
21
12
3
G
=
7
-
3
GOD
26
17
8
-
-
16
-
14
THE SPIRIT OF GOD
171
90
18
-
-
1+6
-
1+4
-
1+7+1
9+0
1+8
-
-
7
-
5
THE SPIRIT OF GOD
9
9
9

 

 

-
-
-
-
12
THE WOW SIGNAL
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
W
=
5
-
3
WOW
61
16
7
-
-
-
-
-
-
-
-
-
-
S
=
1
-
6
SIGNAL
62
35
8
-
-
-
-
-
-
-
-
-
-
-
-
16
-
12
THE SPIRIT OF GOD
156
66
21
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
15
-
3
-
33
15
15
-
-
-
-
-
-
-
-
-
-
S
=
1
4
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
P
=
7
5
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
7
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
8
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
9
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
-
-
37
-
6
-
91
46
37
-
-
-
-
-
-
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
11
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
-
-
12
-
2
-
21
12
12
-
-
-
-
-
-
-
-
-
-
G
=
7
12
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
O
=
6
13
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
D
=
4
14
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
-
-
17
-
3
-
26
17
17
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
12
THE WOW SIGNAL
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
1
4
3
4
5
18
14
8
27
W
=
5
-
3
WOW
61
16
7
-
-
-
-
-
-
1+8
1+4
-
2+7
S
=
1
-
6
SIGNAL
62
35
8
-
1
4
3
4
5
9
5
8
9
-
-
16
-
12
THE WOW SIGNAL
156
66
21
-
-
-
-
-
-
-
-
-
-
-
-
1+6
-
1+4
-
1+5+6
6+6
2+1
-
-
-
-
-
-
-
-
-
-
-
-
7
-
5
THE WOW SIGNAL
12
12
3
-
1
4
3
4
5
9
5
8
9
-
-
1+6
-
1+4
-
1+7+1
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
5
THE WOW SIGNAL
9
9
3
-
1
4
3
4
5
9
5
8
9

 

 
 
Top
  
 
Evokation
  
Previous Page
Index
 Next Page