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Evokation
  
 
Index
  

 

 

A

MAZE

IN

ZAZAZA ENTER AZAZAZ

AZAZAZAZAZAZAZZAZAZAZAZAZAZA

ZAZAZAZAZAZAZAZAZAAZAZAZAZAZAZAZAZAZ

THE

MAGICALALPHABET

ABCDEFGHIJKLMNOPQRSTUVWXYZZYXWVUTSRQPONMLKJIHGFEDCBA

12345678910111213141516171819202122232425262625242322212019181716151413121110987654321

 

 

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

 

 

 

 

 

The Upside Down of the Downside Up

 

 

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

 

 

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

 

 

I AM THE OPPOSITE OF THE OPPOSITE I AM THE OPPOSITE OF OPPOSITE IS THE AM I ALWAYS AM

 

 

1
N
14
5
5
6
NOUGHT
85
31
4
5
OUGHT
71
26
8

 

 

4
ZERO
64
28
1
5
OUGHT
71
26
8
9
Add to Reduce
135
54
9
-
Reduce to Deduce
1+3+5
5+4
-
9
Essence of Number
9
9
9

 

 

-
4
Z
E
R
O
-
-
-
-
-
-
-
-
-
-
8
-
-
6
+
=
14
1+4
=
5
=
5
-
-
26
-
-
15
+
=
41
4+1
=
5
=
5
-
4
Z
E
R
O
-
-
-
-
-
-
-
-
-
-
-
5
9
-
+
=
14
1+4
=
5
=
5
-
-
-
5
18
-
+
=
23
2+3
=
5
=
5
-
4
Z
E
R
O
-
-
-
-
-
-
-
-
-
-
26
5
18
15
+
=
64
6+4
=
10
1+0
1
-
-
8
5
9
6
+
=
28
2+8
=
10
1+0
1
-
4
Z
E
R
O
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
ONE
1
-
-
-
2
-
-
-
-
-
-
-
2
TWO
2
-
-
-
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
4
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
-
6
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
7
THREE
3
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
17
4
Z
E
R
O
-
-
28
-
-
4
-
28
1+7
-
-
-
9
-
-
-
2+8
-
-
-
-
2+8
8
4
Z
E
R
O
-
-
10
-
-
4
-
10
-
-
-
-
-
-
-
-
1+0
-
-
-
-
1+0
8
4
Z
E
R
O
-
-
1
-
-
4
-
1

 

 

4
Z
E
R
O
-
-
-
-
-
-
-
-
-
8
-
-
6
+
=
14
1+4
=
5
=
5
-
26
-
-
15
+
=
41
4+1
=
5
=
5
4
Z
E
R
O
-
-
-
-
-
-
-
-
-
-
5
9
-
+
=
14
1+4
=
5
=
5
-
-
5
18
-
+
=
23
2+3
=
5
=
5
4
Z
E
R
O
-
-
-
-
-
-
-
-
-
26
5
18
15
+
=
64
6+4
=
10
1+0
1
-
8
5
9
6
+
=
28
2+8
=
10
1+0
1
4
Z
E
R
O
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
6
-
-
6
occurs
x
1
=
6
-
8
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
9
-
-
-
9
occurs
x
1
=
9
4
Z
E
R
O
-
-
28
-
-
4
-
28
-
-
-
9
-
-
-
2+8
-
-
-
-
2+8
4
Z
E
R
O
-
-
10
-
-
4
-
10
-
8
5
9
6
-
-
1+0
-
-
-
-
1+0
4
Z
E
R
O
-
-
1
-
-
4
-
1

 

 

-
5
O
U
G
H
T
-
-
-
-
-
-
-
-
-
-
6
-
-
8
-
+
=
14
1+4
=
5
=
5
-
-
15
-
-
8
-
+
=
23
2+3
=
5
=
5
-
5
O
U
G
H
T
-
-
-
-
-
-
-
-
-
-
-
3
7
-
2
+
=
12
1+2
=
3
=
3
-
-
-
21
7
-
20
+
=
48
4+8
=
12
1+2
3
-
5
O
U
G
H
T
-
-
-
-
-
-
-
-
-
-
15
21
7
8
20
+
=
71
7+1
=
8
=
8
-
-
6
3
7
8
2
+
=
26
2+6
=
8
=
8
-
5
O
U
G
H
T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
-
-
4
TWO
1
-
-
-
5
-
-
-
-
-
-
-
-
5
THREE
1
-
-
-
-
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
9
-
 -
-
-
 -
-
-
-
9
-
-
-
-
-
19
5
O
U
G
H
T
-
-
26
-
-
5
-
26
-
-
-
-
-
-
-
-
-
2+6
-
-
-
-
2+6
1
5
O
U
G
H
T
-
-
8
-
-
5
-
8
-
-
6
3
7
8
2
-
-
-
-
-
-
-
2+6
1
5
O
U
G
H
T
-
-
8
-
-
5
-
8

 

 

-
9
Z
E
R
O
-
O
U
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
6
-
6
-
-
8
-
+
=
28
2+8
=
10
1+0
1
=
1
-
-
26
-
-
15
-
15
-
-
8
-
+
=
64
6+4
=
10
1+0
1
=
1
-
9
Z
E
R
O
-
O
U
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
-
5
9
-
-
-
3
7
-
2
+
=
26
2+6
=
8
=
8
=
8
-
-
-
5
18
-
-
-
21
7
-
20
+
=
71
7+1
=
8
=
8
=
8
-
9
Z
E
R
O
-
O
U
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
26
5
18
15
-
15
21
7
8
20
+
=
135
1+3+5
=
9
=
9
=
9
-
-
8
5
9
6
-
6
3
7
8
2
+
=
54
5+4
=
9
=
9
=
9
-
9
Z
E
R
O
-
O
U
G
H
T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
6
-
6
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
5
9
Z
E
R
O
-
O
U
G
H
T
-
-
40
-
-
9
-
54
-
36
-
-
-
-
9
-
-
-
-
-
-
-
-
-
4+0
-
-
-
-
5+4
-
3+6
5
9
Z
E
R
O
-
O
U
G
H
T
-
-
4
-
-
9
-
9
-
9

 

 

-
THOUGHT
-
-
-
2
TH
28
10
1
2
OU
36
9
9
3
GHT
35
17
8
7
THOUGHT
99
36
18
-
-
9+9
3+6
1+8
7
THOUGHT
18
9
9
-
-
1+8
-
-
7
THOUGHT
9
9
9

 

 

-
7
T
H
O
U
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
-
8
6
-
-
8
-
+
=
22
2+2
=
4
=
4
=
4
-
-
-
8
15
-
-
8
-
+
=
31
3+1
=
4
=
4
=
4
-
7
T
H
O
U
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
2
-
-
3
7
-
2
+
=
14
1+4
=
5
=
5
=
5
-
-
20
-
-
21
7
-
20
+
=
68
6+8
=
14
1+4
5
=
5
-
7
T
H
O
U
G
H
T
-
-
-
-
-
--
-
-
-
-
-
-
20
8
15
21
7
8
20
+
=
99
9+9
=
18
1+8
9
=
9
-
-
2
8
6
3
7
8
2
+
=
36
3+6
=
9
=
9
=
9
-
7
T
H
O
U
G
H
T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
3
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
19
7
T
H
O
U
G
H
T
-
-
26
-
-
7
-
36
-
27
1+9
-
-
-
-
-
-
-
-
-
-
2+6
-
-
-
-
3+6
-
2+7
1
7
T
H
O
U
G
H
T
-
-
8
-
-
7
-
9
-
9

 

 

-
4
Z
E
R
O
-
-
-
-
-
--
-
-
-
-
8
-
-
6
+
=
14
1+4
=
5
=
5
-
-
26
-
-
15
+
=
41
4+1
=
5
=
5
-
4
Z
E
R
O
-
-
-
-
-
--
-
-
-
-
-
5
9
-
+
=
14
1+4
=
5
=
5
-
-
-
5
18
-
+
=
23
2+3
=
5
=
5
-
4
Z
E
R
O
-
-
-
-
-
--
-
-
-
-
26
5
18
15
+
=
64
6+4
=
10
1+0
1
-
-
8
5
9
6
+
=
28
2+8
=
10
1+0
1
-
4
Z
E
R
O
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
4
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
-
6
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
17
4
Z
E
R
O
-
-
28
-
-
4
-
28
1+7
-
-
-
9
-
-
-
2+8
-
-
-
-
2+8
8
4
Z
E
R
O
-
-
10
-
-
4
-
10
-
-
-
-
-
-
-
-
1+0
-
-
-
-
1+0
8
4
Z
E
R
O
-
-
1
-
-
4
-
1

 

 

4
Z
E
R
O
-
-
-
-
-
--
-
-
-
8
-
-
6
+
=
14
1+4
=
5
=
5
-
26
-
-
15
+
=
41
4+1
=
5
=
5
4
Z
E
R
O
-
-
-
-
-
--
-
-
-
-
5
9
-
+
=
14
1+4
=
5
=
5
-
-
5
18
-
+
=
23
2+3
=
5
=
5
4
Z
E
R
O
-
-
-
-
-
--
-
-
-
26
5
18
15
+
=
64
6+4
=
10
1+0
1
-
8
5
9
6
+
=
28
2+8
=
10
1+0
1
4
Z
E
R
O
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
6
-
-
6
occurs
x
1
=
6
-
8
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
9
-
-
-
9
occurs
x
1
=
9
4
Z
E
R
O
-
-
28
-
-
4
-
28
-
-
-
9
-
-
-
2+8
-
-
-
-
2+8
4
Z
E
R
O
-
-
10
-
-
4
-
10
-
-
-
-
 -
-
-
1+0
-
-
-
-
1+0
4
Z
E
R
O
-
-
1
-
-
4
-
1

 

 

-
3
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
6
5
-
+
=
11
1+1
=
2
=
2
=
2
-
-
15
14
-
+
=
29
2+9
=
11
1+1
2
=
2
-
3
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
+
=
5
-
=
5
=
5
=
5
-
3
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
15
14
5
+
=
34
3+4
=
7
=
7
=
7
-
-
6
5
5
+
=
16
1+6
=
7
=
7
=
7
-
3
O
N
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
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
-
-
-
-
-
-
-
34
3
O
N
E
-
-
11
-
-
3
-
16
-
7
3+4
-
-
-
-
-
-
1+1
-
-
-
-
1+6
-
-
7
3
O
N
E
-
-
2
-
-
3
-
7
-
7

 

 

3
O
N
E
-
-
-
-
-
--
-
-
-
-
-
6
5
-
+
=
11
1+1
=
2
=
2
=
2
-
15
14
-
+
=
29
2+9
=
11
1+1
2
=
2
3
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
-
5
+
=
5
-
=
5
=
5
=
5
3
O
N
E
-
-
-
-
-
--
-
-
-
-
-
15
14
5
+
=
34
3+4
=
7
=
7
=
7
-
6
5
5
+
=
16
1+6
=
7
=
7
=
7
3
O
N
E
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
-
6
-
-
-
-
6
occurs
x
1
=
6
=
6
3
O
N
E
-
-
11
-
-
3
-
16
-
7
-
-
-
-
-
-
1+1
-
-
-
-
1+6
-
-
3
O
N
E
-
-
2
-
-
3
-
7
-
7

 

 

-
7
Z
E
R
O
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
6
-
6
5
-
+
=
25
2+5
=
8
=
8
=
8
-
-
26
-
-
15
-
15
14
-
+
=
70
7+0
=
7
=
7
=
7
-
7
Z
E
R
O
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
-
5
9
-
-
-
-
5
+
=
19
1+9
=
10
1+0
1
=
1
-
-
-
5
18
-
-
-
-
5
+
=
28
2+8
=
10
1+0
1
=
1
-
7
Z
E
R
O
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
26
5
18
15
-
15
14
5
+
=
98
9+8
=
17
1+7
8
=
8
-
-
8
5
9
6
-
6
5
5
+
=
44
4+4
=
8
=
8
=
8
-
7
Z
E
R
O
-
O
N
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
6
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
17
7
Z
E
R
O
-
O
N
E
-
-
28
-
-
7
-
44
-
26
1+7
-
-
-
9
-
-
-
-
-
-
-
10
-
-
-
-
4+4
-
2+6
8
7
Z
E
R
O
-
O
N
E
-
-
1
-
-
7
-
8
-
8

 

 

4
ZERO
64
28
1
3
ONE
34
16
7
-
-
-
-
-
-
-
-
-
-
3
TEN
39
12
3

 

 

-
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
6
-
-
5
-
-
6
5
-
+
=
30
3+0
=
3
=
3
=
3
-
-
26
-
-
15
-
-
14
-
-
15
14
-
+
=
84
8+4
=
12
1+2
3
=
3
-
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
-
5
9
-
-
1
-
4
-
-
-
5
+
=
24
2+4
=
6
=
6
=
6
-
-
-
5
18
-
-
1
-
4
-
-
-
5
+
=
33
3+3
=
6
=
6
=
6
-
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
26
5
18
15
-
1
14
4
-
15
14
5
+
=
117
1+1+7
=
9
=
9
=
9
-
-
8
5
9
6
-
1
5
4
-
6
5
5
+
=
54
5+4
=
9
=
9
=
9
-
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
-
-
-
5
-
-
-
5
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
6
-
-
-
-
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
12
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
33
-
-
10
-
54
-
27
1+2
1+0
-
-
9
-
-
-
 -
-
-
-
-
-
-
-
3+3
-
-
1+0
-
5+4
-
2+7
3
1
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
6
-
-
7
-
8
-
8

 

 

10
Z
E
R
O
-
A
N
E
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
8
-
-
6
-
-
5
-
-
6
5
-
+
=
30
3+0
=
3
=
3
=
3
-
26
-
-
15
-
-
14
-
-
15
14
-
+
=
84
8+4
=
12
1+2
3
=
3
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
5
9
-
-
1
-
4
-
-
-
5
+
=
24
2+4
=
6
=
6
=
6
-
-
5
18
-
-
1
-
4
-
-
-
5
+
=
33
3+3
=
6
=
6
=
6
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
26
5
18
15
-
1
14
4
-
15
14
5
+
=
117
1+1+7
=
9
=
9
=
9
-
8
5
9
6
-
1
5
4
-
6
5
5
+
=
54
5+4
=
9
=
9
=
9
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
-
-
5
-
-
-
5
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
6
-
-
-
-
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
10
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
33
-
-
10
-
54
-
27
1+0
-
-
9
-
-
-
 -
-
-
 -
-
-
-
-
3+3
-
-
1+0
-
5+4
-
2+7
1
Z
E
R
O
-
A
N
D
-
O
N
E
-
-
6
-
-
7
-
8
-
8

 

 

3
ONE
34
16
7
3
AND
19
10
1
4
ZERO
64
28
1
10
Add to Reduce
117
54
9
1+0
Reduce to Deduce
1+1+7
5+4
-
1
Essence of Number
9
9
9

 

 

-
-
-
-
0
ZERO
-
-
-
-
-
-
2
-
Z+E
31
13
4
-
-
-
1
-
R
18
9
9
-
-
-
1
-
O
15
6
6
Z
=
8
4
4
ZERO
64
28
19
-
-
-
-
-
-
9+1
1+9
1+9
Z
=
8
4
-
ZERO
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
Z
=
8
4
-
ZERO
1
1
1

 

 

-
-
-
-
1
ONE
-
-
-
-
-
-
1
-
O
15
6
6
-
-
-
1
-
N
14
5
5
-
-
-
1
-
E
5
5
5
O
=
6
3
4
ONE
34
16
16
-
-
-
-
-
-
3+4
1+6
1+6
O
=
6
3
4
ONE
7
7
7

 

 

-
-
-
-
2
TWO
-
-
-
-
-
-
1
-
T
20
2
2
-
-
-
1
-
W
23
5
5
-
-
-
1
-
O
15
6
6
T
=
2
3
4
TWO
58
13
13
-
-
-
-
-
-
5+8
1+3
1+3
T
=
2
3
4
TWO
13
4
4
-
-
-
-
-
-
1+3
-
-
T
=
2
3
4
TWO
4
4
4

 

 

-
-
-
-
3
THREE
-
-
-
-
-
-
1
-
T
20
2
2
-
-
-
1
-
H
8
8
8
-
-
-
1
-
R
18
9
9
-
-
-
2
-
E+E
10
10
1
T
=
2
5
4
THREE
56
29
20
-
-
-
-
-
-
5+6
2+9
2+0
T
=
2
5
4
THREE
11
11
2
-
-
-
-
-
-
1+1
1+1
-
T
=
2
5
4
THREE
2
2
2

 

 

-
-
-
-
4
FOUR
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
2
-
O+U
36
9
9
-
-
-
1
-
R
18
9
9
F
=
6
4
4
FOUR
60
24
24
-
-
-
-
-
-
6+0
2+4
2+4
F
-
6
4
4
FOUR
6
6
6

 

 

-
-
-
-
5
FIVE
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
1
-
I
9
9
9
-
-
-
2
-
V+E
27
9
9
F
=
6
4
4
FIVE
42
24
24
-
-
-
-
-
-
4+2
2+4
2+4
F
=
6
4
4
FIVE
6
6
6

 

 

-
-
-
-
6
SIX
-
-
-
-
-
-
1
-
S
19
10
1
-
-
-
1
-
I
9
9
9
-
-
-
1
-
X
24
6
6
S
=
1
3
4
SIX
52
25
16
-
-
-
-
-
-
5+2
2+5
1+6
S
=
1
3
4
SIX
7
7
7

 

 

-
-
-
-
7
SEVEN
-
-
-
-
-
-
1
-
S
19
10
1
-
-
-
2
-
E+V
27
9
9
-
-
-
2
-
E+N
19
10
1
S
=
1
5
4
SEVEN
65
29
11
-
-
-
-
-
-
6+5
2+9
1+1
S
=
2
5
4
SEVEN
11
11
2
-
-
-
-
-
-
1+1
1+1
-
S
=
2
5
4
SEVEN
2
2
2

 

 

-
-
-
-
8
EIGHT
-
-
-
-
-
-
1
-
E
5
5
5
-
-
-
1
-
I
9
9
9
-
-
-
3
-
G+H+T
35
17
8
E
=
5
5
4
EIGHT
49
31
4
-
-
-
-
-
-
4+9
3+1
-
E
=
5
5
4
EIGHT
13
4
4
-
-
-
-
-
-
1+3
-
-
E
=
5
5
4
EIGHT
4
4
4

 

 

-
-
-
-
9
NINE
-
-
-
-
-
-
1
-
N
14
5
5
-
-
-
1
-
I
9
9
9
-
-
-
2
-
N+E
19
10
1
N
=
5
4
4
NINE
42
24
13
-
-
-
-
-
-
4+2
2+4
1+3
N
=
5
3
4
NINE
6
6
6

 

 

-
-
-
10
-
TEN
--
-
-
-
-
-
-
1
T
20
2
2
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
T
=
2
10
3
TEN
39
12
12
-
-
-
-
-
-
3+9
1+2
1+2
T
=
2
10
3
TEN
12
3
3
-
-
-
-
-
-
1+2
-
-
T
=
2
10
3
TEN
3
3
3

 

 

-
-
-
11
-
ELEVEN
--
-
-
-
-
-
-
3
E+L+E
22
13
4
-
-
-
-
2
V+E
27
9
9
-
-
-
-
1
N
14
5
5
E
=
5
11
6
ELEVEN
63
27
18
-
-
-
-
-
-
6+3
2+7
1+8
E
=
5
11
6
ELEVEN
9
9
9

 

 

-
-
-
12
-
TWELVE
--
-
-
-
-
-
-
4
T+W+E+L
60
15
6
-
-
-
-
2
V+E
27
9
9
T
=
2
12
6
TWELVE
87
24
15
-
-
-
-
-
-
8+7
2+4
1+5
T
=
2
12
6
TWELVE
15
6
6
6
-
-
-
-
-
1+5
-
-
T
=
2
12
6
TWELVE
6
6
6

 

 

-
-
-
13
-
THIRTEEN
--
-
-
-
-
-
-
2
T+H
28
10
1
-
-
-
-
1
I
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
4
T+E+E+N
44
17
8
T
=
2
13
8
THIRTEEN
99
45
27
-
-
-
-
-
-
9+9
4+5
2+7
T
=
2
13
8
THIRTEEN
18
9
9
6
-
-
-
-
-
1+8
-
-
T
=
2
13
8
THIRTEEN
9
9
9

 

 

-
-
-
14
-
FOURTEEN
--
-
-
-
-
-
-
1
F
6
6
6
-
-
-
-
2
O+U
36
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
4
T+E+E+N
44
17
8
F
=
6
14
8
FOURTEEN
104
41
32
-
-
-
-
-
-
1+0+4
4+1
3+2
F
=
6
14
8
FOURTEEN
5
5
5

 

 

-
-
-
15
-
FIFTEEN
--
-
-
-
-
-
-
1
F
6
6
6
-
-
-
-
1
I
9
9
9
-
-
-
-
5
F+T+E+E+N
50
23
5
F
=
6
15
7
FIFTEEN
65
38
20
-
-
-
-
-
-
6+5
3+8
2+0
F
=
6
15
7
FIFTEEN
11
11
2
6
-
-
-
-
-
1+1
1+1
-
F
=
6
15
7
FIFTEEN
2
2
2

 

 

-
-
-
16
-
SIXTEEN
--
-
-
-
-
-
-
1
S
19
10
1
-
-
-
-
1
I
9
9
9
-
-
-
-
4
X+T+E+E
54
18
9
-
-
-
-
1
N
14
5
5
S
=
1
16
7
SIXTEEN
96
42
24
-
-
-
-
-
-
9+6
4+2
2+4
S
=
1
16
7
SIXTEEN
15
6
6
6
-
-
-
-
-
1+5
-
-
S
=
1
16
7
SIXTEEN
6
6
6

 

 

-
-
-
17
-
SEVENTEEN
--
-
-
-
-
-
-
1
S
19
10
1
-
-
-
-
2
E+V
27
9
9
-
-
-
-
6
E+N+T+E+E+N
63
27
9
S
=
1
17
9
SEVENTEEN
109
46
19
-
-
-
-
-
-
1+0+9
4+6
1+9
S
=
1
17
9
SEVENTEEN
10
10
10
6
-
-
-
-
-
1+0
1+0
1+0
S
=
1
17
9
SEVENTEEN
1
1
1

 

 

-
-
-
18
-
EIGHTEEN
--
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
I
9
9
9
-
-
-
-
5
G+H+T+E+E
45
27
9
-
-
-
-
1
N
14
5
5
E
=
5
18
8
EIGHTEEN
73
46
28
-
-
-
-
-
-
7+3
4+6
2+8
E
=
5
18
8
EIGHTEEN
10
10
10
6
-
-
-
-
-
1+0
1+0
1+0
E
=
5
18
8
EIGHTEEN
1
1
1

 

 

-
TEEN
--
-
-
1
T
20
2
2
3
E+E+N
24
15
6
4
TEEN
44
17
8
-
-
4+4
1+7
-
4
TEEN
8
8
8

 

 

-
-
-
-
TEEN
--
-
-
-
-
-
1
T
20
2
2
-
-
-
1
E
5
5
5
-
-
-
1
E
5
5
5
-
-
-
1
N
14
5
5
T
=
2
4
TEEN
44
17
17
-
-
-
-
-
4+4
1+7
1+7
T
=
2
4
TEEN
8
8
8

 

 

1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
58
13
4
3
-
T
=
2
-
5
THREE
56
29
2
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
42
24
6
6
-
S
=
1
-
3
SIX
52
16
7
7
-
S
=
1
-
5
SEVEN
65
20
2
8
-
E
=
5
-
5
EIGHT
49
31
4
9
-
N
=
5
-
4
NINE
42
24
6
42
-
-
-
34
-
40
-
458
197
44
4+2
-
-
-
3+4
-
-
-
4+5+8
1+9+7
4+4
6
-
-
-
7
-
9
-
17
17
8
-
-
-
-
-
-
-
-
1+7
1+7
-
-
-
-
-
7
-
9
-
8
8
8

 

 

-
3
-
-
-
3
-
-
-
-
5
-
-
-
-
-
4
-
-
-
-
4
-
-
-
3
-
-
-
-
5
-
-
-
-
-
5
-
-
-
-
-
4
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
15
14
5
-
20
23
15
-
20
8
18
5
5
-
6
15
21
18
-
6
9
22
5
-
19
9
24
-
19
5
22
5
14
-
5
9
7
8
20
-
14
9
14
5
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
5
-
-
-
-
-
5
-
5
5
6-
-
-
-
-
-
6
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
6
-
-
-
-
-
6
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E

 

 

1
occurs
x
2
=
2
-
-
-
-
-
2
2
occurs
x
3
=
6
-
-
-
-
-
6
3
occurs
x
1
=
3
-
-
-
-
-
3
4
occurs
x
2
=
8
-
-
-
-
-
8
5
occurs
x
13
=
65
6+5
=
11
1+1
=
2
6
occurs
x
6
=
36
3+6
=
9
-
-
9
7
occurs
x
1
=
7
-
-
-
-
-
7
8
occurs
x
2
=
16
1+6
=
7
-
-
7
9
occurs
x
6
=
54
5+4
=
9
-
-
9
45
-
-
36
-
197
-
-
-
-
-
53
4+5
-
-
3+6
-
1+9+7
-
-
-
-
-
5+3
9
-
-
9
-
17
-
-
-
-
-
8
-
-
-
-
-
1+7
-
-
-
-
-
-
9
-
-
9
-
8
-
-
-
-
-
8

 

 

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

 

 

Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
26
5
18
15
-
15
14
5
-
20
23
15
-
20
8
18
5
5
-
6
15
21
18
-
6
9
22
5
-
19
9
24
-
19
5
22
5
14
-
5
9
7
8
20
-
14
9
14
5
522
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
225
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
5
-
-
-
--
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
5
-
-
5
5
-
-
-
-
5
5
-
-
-
6
-
6
-
-
-
-
--
6
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
9
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
45
-
5
-
-
-
--
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
5
-
-
5
5
-
-
-
-
5
4+5
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
9
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
-
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
9

 

 

1
occurs
x
2
=
2
=
2
2
occurs
x
3
=
6
=
6
3
occurs
x
1
=
3
=
3
4
occurs
x
2
=
8
=
8
5
occurs
x
14
=
70
7+0
7
6
occurs
x
7
=
42
4+2
6
7
occurs
x
1
=
7
=
7
8
occurs
x
3
=
24
2+4
6
9
occurs
x
7
=
63
6+3
9
45
-
-
40
-
225
-
54
4+5
-
-
4+0
-
2+2+5
-
5+4
9
-
-
4
-
9
-
9

 

.....

 

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

 

 

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

 

 

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

 

 

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

 

 

CIRCLE = 50 5+0 = 5 = 5+0 50 CIRCLE

1234 5 6789

ONE TWO THREE FOUR = 208 = 2+0+8 = 10 1+0 = 1
NINE EIGHT SEVEN SIX = 208 = 2+0+8 = 10 1+0 = 1

FIVE THE FULCRUM OF THE BALANCES

5FIVE5

THE SPIRIT LEVEL OF THE LEVEL SPIRIT

1234 5 6789

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
1
-
O
=
6
2
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
3
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
4
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
4
-
F
=
6
5
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
6
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
7
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
7
-
S
=
1
8
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
8
-
E
=
5
9
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
9
-
N
=
5
10
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
Z
=
8
1
1
Z
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
7
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
8
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
W
=
5
9
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
T
=
2
11
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
12
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
13
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
F
=
6
16
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
17
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
U
=
3
18
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
R
=
9
19
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
F
=
6
20
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
21
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
V
=
4
22
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
23
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
S
=
1
24
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
25
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
X
=
6
26
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
S
=
1
27
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
V
=
4
29
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
30
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
31
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
32
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
33
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
34
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
35
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
T
=
2
36
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
N
=
5
37
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
38
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
39
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
40
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
40
First Total
522
243
225
-
2
6
3
8
70
42
7
24
63
-
-
4+5
-
4+0
Add to Reduce
5+2+2
2+4+3
2+2+5
-
-
-
-
-
7+0
4+2
-
2+4
6+3
-
-
9
-
4
Second Total
9
9
9
-
2
6
3
8
7
6
7
6
9
-
-
-
-
-
Reduce to Deduce
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
4
Essence of Number
9
9
9
-
2
6
3
8
7
6
7
6
9

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
2
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
3
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
6
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
7
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
V
=
4
8
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
9
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
W
=
5
12
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
16
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
17
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
18
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
19
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
20
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
21
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
22
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
23
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
24
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
25
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
26
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
27
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
F
=
6
28
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
X
=
6
29
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
G
=
7
30
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
Z
=
8
31
1
Z
8
8
8
-
-
-
-
-
-
-
-
8
-
H
=
8
32
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
H
=
8
33
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
34
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
35
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
36
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
37
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
38
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
39
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
40
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
40
First Total
522
243
225
-
2
6
3
8
70
42
7
24
63
-
-
4+5
-
4+0
Add to Reduce
5+2+2
2+4+3
2+2+5
-
-
-
-
-
7+0
4+2
-
2+4
6+3
-
-
9
-
4
Second Total
9
9
9
-
2
6
3
8
7
6
7
6
9
-
-
-
-
-
Reduce to Deduce
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
4
Essence of Number
9
9
9
-
2
6
3
8
7
6
7
6
9

 

 

ZERO ONE TWO THREE FOUR FIVE 1IX 1EVEN EIGHT NINE

ZERO ONE 2WO 2HREE FOUR FIVE SIX SEVEN EIGH2 NINE

ZERO ONE TWO THREE FO3R FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FI4E SIX SE4EN EIGHT NINE

Z5RO O55 T5O THR55 FOUR FIV5 SIX S5V55 5IGHT 5I55

ZER6 6NE TW6 THREE 66UR 6IVE SI6 SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EI7HT NINE

8ERO ONE TWO T8REE FOUR FIVE SIX SEVEN EIG8T NINE

ZE9O ONE TWO TH9EE FOU9 F9VE S9X SEVEN E9GHT N9NE

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
Z
=
8
1
1
Z
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
7
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
8
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
W
=
5
9
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
10
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
T
=
2
11
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
12
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
13
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
14
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
F
=
6
16
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
17
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
U
=
3
18
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
R
=
9
19
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
F
=
6
20
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
21
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
V
=
4
22
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
23
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
S
=
1
24
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
I
=
9
25
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
X
=
6
26
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
S
=
1
27
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
28
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
V
=
4
29
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
30
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
31
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
32
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
33
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
G
=
7
34
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
35
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
T
=
2
36
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
N
=
5
37
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
38
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
39
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
40
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
45
-
40
First Total
522
243
225
-
2
6
3
8
70
42
7
24
63
-
-
4+5
-
4+0
Add to Reduce
5+2+2
2+4+3
2+2+5
-
-
-
-
-
7+0
4+2
-
2+4
6+3
-
-
9
-
4
Second Total
9
9
9
-
2
6
3
8
7
6
7
6
9
-
-
-
-
-
Reduce to Deduce
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
4
Essence of Number
9
9
9
-
2
6
3
8
7
6
7
6
9

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

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

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

8596 655 256 28955 6639 6945 196 15455 59782 5955

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
1
-
O
=
6
2
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
3
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
4
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
4
-
F
=
6
5
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
6
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
7
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
7
-
S
=
1
8
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
8
-
E
=
5
9
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
9
-
N
=
5
10
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
3
-
T
=
2
2
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
7
-
S
=
1
3
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
1
-
O
=
6
4
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
5
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
8
-
E
=
5
6
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
4
-
F
=
6
7
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
8
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
9
-
N
=
5
9
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
10
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
4
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
3
-
T
=
2
2
5
THREE
56
29
2
-
-
2
-
-
-
7
-
S
=
1
3
5
SEVEN
65
20
2
-
-
2
-
-
-
1
-
O
=
6
4
3
ONE
34
16
7
-
-
-
-
-
7
2
-
T
=
2
5
3
TWO
58
13
4
-
-
-
4
-
-
8
-
E
=
5
6
5
EIGHT
49
31
4
-
-
-
4
-
-
4
-
F
=
6
7
4
FOUR
60
24
6
-
-
-
-
6
-
5
-
F
=
6
8
4
FIVE
42
24
6
-
-
-
-
6
-
9
-
N
=
5
9
4
NINE
42
24
6
-
-
-
-
6
-
6
-
S
=
1
10
3
SIX
52
16
7
-
-
-
-
-
7
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
8
18
14
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
1+8
1+4
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
8
9
5

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
1
-
O
=
6
2
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
3
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
4
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
4
-
F
=
6
5
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
6
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
7
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
7
-
S
=
1
8
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
8
-
E
=
5
9
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
9
-
N
=
5
10
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

-
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 SOLAR SYSTEM
-
-
-
3
THE
33
15
6
5
SOLAR
65
29
2
6
SYSTEM
101
38
2
14
THE SOLAR SYSTEM
199
82
10
1+4
-
1+9+9
8+2
1+0
5
THE SOLAR SYSTEM
19
10
1
-
-
1+9
1+0
-
5
THE SOLAR SYSTEM
10
1
1
-
-
1+0
-
-
5
THE SOLAR SYSTEM
1
1
1

 

 

3
SUN
54
9
9
7
MERCURY
103
40
4
5
VENUS
81
18
9
5
EARTH
52
25
7
4
MOON
57
21
3
4
MARS
51
15
6
7
JUPITER
99
36
9
6
SATURN
93
21
3
6
URANUS
94
22
4
7
NEPTUNE
95
32
5
5
PLUTO
84
21
3
59
First Total
863
260
62
5+9
Add to Reduce
8+6+3
2+6
6+2
14
Second Total
17
8
8
1+4
Reduce to Deduce
1+7
-
-
5
Essence of Number
8
8
8

 

 

3
SUN
54
9
9
5
EARTH
52
25
7
4
MOON
57
21
3
12
First Total
163
55
19
1+2
Add to Reduce
1+6+3
5+5
1+9
3
Second Total
10
10
10
-
Reduce to Deduce
1+0
1+0
1+0
3
Essence of Number
1
1
1

 

 

 

 

 

3
ONE
34
16
7
3
AND
19
10
1
4
ZERO
64
28
1
10
Add to Reduce
117
54
9
1+0
Reduce to Deduce
1+1+7
5+4
-
1
Essence of Number
9
9
9

 

 

Z
=
8
-
0
ZERO
-
-
-
-
-
-
2
-
Z+E
31
13
4
-
-
-
1
-
R
18
9
9
-
-
-
1
-
O
15
6
6
Z
=
8
4
4
ZERO
64
28
19
-
-
-
-
-
-
9+1
1+9
1+9
Z
=
8
4
-
ZERO
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
Z
=
8
4
-
ZERO
1
1
1

 

 

O
=
6
-
1
ONE
-
-
-
-
-
-
1
-
O
15
6
6
-
-
-
1
-
N
14
5
5
-
-
-
1
-
E
5
5
5
O
=
6
3
4
ONE
34
16
16
-
-
-
-
-
-
3+4
1+6
1+6
O
=
6
3
4
ONE
7
7
7

 

 

T
=
2
-
2
TWO
-
-
-
-
-
-
1
-
T
20
2
2
-
-
-
1
-
W
23
5
5
-
-
-
1
-
O
15
6
6
T
=
2
3
4
TWO
58
13
13
-
-
-
-
-
-
5+8
1+3
1+3
T
=
2
3
4
TWO
13
4
4
-
-
-
-
-
-
1+3
-
-
T
=
2
3
4
TWO
4
4
4

 

 

T
=
2
-
3
THREE
-
-
-
-
-
-
1
-
T
20
2
2
-
-
-
1
-
H
8
8
8
-
-
-
1
-
R
18
9
9
-
-
-
2
-
E+E
10
10
1
T
=
2
5
4
THREE
56
29
20
-
-
-
-
-
-
5+6
2+9
2+0
T
=
2
5
4
THREE
11
11
2
-
-
-
-
-
-
1+1
1+1
-
T
=
2
5
4
THREE
2
2
2

 

 

F
=
6
-
4
FOUR
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
2
-
O+U
36
9
9
-
-
-
1
-
R
18
9
9
F
=
6
4
4
FOUR
60
24
24
-
-
-
-
-
-
6+0
2+4
2+4
F
-
6
4
4
FOUR
6
6
6

 

 

-
-
-
-
5
FIVE
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
1
-
I
9
9
9
-
-
-
2
-
V+E
27
9
9
F
=
6
4
4
FIVE
42
24
24
-
-
-
-
-
-
4+2
2+4
2+4
F
=
6
4
4
FIVE
6
6
6

 

 

S
=
1
-
6
SIX
-
-
-
-
-
-
1
-
S
19
10
1
-
-
-
1
-
I
9
9
9
-
-
-
1
-
X
24
6
6
S
=
1
3
4
SIX
52
25
16
-
-
-
-
-
-
5+2
2+5
1+6
S
=
1
3
4
SIX
7
7
7

 

 

S
=
1
-
7
SEVEN
-
-
-
-
-
-
1
-
S
19
10
1
-
-
-
2
-
E+V
27
9
9
-
-
-
2
-
E+N
19
10
1
S
=
1
5
4
SEVEN
65
29
11
-
-
-
-
-
-
6+5
2+9
1+1
S
=
2
5
4
SEVEN
11
11
2
-
-
-
-
-
-
1+1
1+1
-
S
=
2
5
4
SEVEN
2
2
2

 

 

E
=
5
-
8
EIGHT
-
-
-
-
-
-
1
-
E
5
5
5
-
-
-
1
-
I
9
9
9
-
-
-
3
-
G+H+T
35
17
8
E
=
5
5
4
EIGHT
49
31
4
-
-
-
-
-
-
4+9
3+1
-
E
=
5
5
4
EIGHT
13
4
4
-
-
-
-
-
-
1+3
-
-
E
=
5
5
4
EIGHT
4
4
4

 

 

N
=
5
-
9
NINE
-
-
-
-
-
-
1
-
N
14
5
5
-
-
-
1
-
I
9
9
9
-
-
-
2
-
N+E
19
10
1
N
=
5
4
4
NINE
42
24
15
-
-
-
-
-
-
4+2
2+4
1+5
N
=
5
3
4
NINE
6
6
6

 

 

O
=
6
-
3
ONE
34
16
7
T
=
2
-
3
TWO
58
13
4
T
=
2
-
5
THREE
56
29
2
F
=
6
-
4
FOUR
60
24
6
F
=
6
-
4
FIVE
42
24
6
S
=
1
-
3
SIX
52
16
7
S
=
1
-
5
SEVEN
65
20
2
E
=
5
-
5
EIGHT
49
31
4
N
=
5
-
4
NINE
42
24
6
-
-
34
-
40
-
458
197
44
-
-
3+4
-
-
-
4+5+8
1+9+7
4+4
-
-
7
-
9
-
17
17
8
-
-
-
-
-
-
1+7
1+7
-
-
-
7
-
9
-
8
8
8

 

 

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

 

 

1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
58
13
4
3
-
T
=
2
-
5
THREE
56
29
2
4
-
F
=
6
-
4
FOUR
60
24
6
5
-
F
=
6
-
4
FIVE
42
24
6
6
-
S
=
1
-
3
SIX
52
16
7
7
-
S
=
1
-
5
SEVEN
65
20
2
8
-
E
=
5
-
5
EIGHT
49
31
4
9
-
N
=
5
-
4
NINE
42
24
6
45
-
-
-
34
-
40
-
458
197
44
4+5
-
-
-
3+4
-
-
-
4+5+8
1+9+7
4+4
9
-
-
-
7
-
9
-
17
17
8
-
-
-
-
-
-
-
-
1+7
1+7
-
9
-
-
-
7
-
9
-
8
8
8

 

 

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

 

 

O
=
6
3
ONE
34
16
7
T
=
2
3
TWO
58
13
4
T
=
2
5
THREE
56
29
2
F
=
6
4
FOUR
60
24
6
F
+
6
4
FIVE
42
24
6
S
=
1
3
SIX
52
16
7
S
=
1
5
SEVEN
65
20
2
E
=
5
5
EIGHT
49
31
4
N
=
5
4
NINE
42
24
6
-
-
39
36
-
458
197
44
-
-
3+9
3+6
-
4+5+8
1+9+7
4+4
-
-
12
9
-
17
17
8
-
-
1+2
-
-
-
-
-
-
-
3
9
-
8
8
8

 

 

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

 

 

O
=
6
-
3
ONE
34
16
7
T
=
2
-
3
TWO
58
13
4
T
=
2
-
5
THREE
56
29
2
F
=
6
-
4
FOUR
60
24
6
F
=
6
-
4
FIVE
42
24
6
S
=
1
-
3
SIX
52
16
7
S
=
1
-
5
SEVEN
65
20
2
E
=
5
-
5
EIGHT
49
31
4
N
=
5
-
4
NINE
42
24
6
-
-
34
-
40
-
458
197
44
-
-
3+4
-
-
-
4+5+8
1+9+7
4+4
-
-
7
-
9
-
17
17
8
-
-
-
-
-
-
1+7
1+7
-
-
-
7
-
9
-
8
8
8

 

 

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

 

 

O
=
6
3
ONE
34
16
7
T
=
2
3
TWO
58
13
4
T
=
2
5
THREE
56
29
2
F
=
6
4
FOUR
60
24
6
F
+
6
4
FIVE
42
24
6
S
=
1
3
SIX
52
16
7
S
=
1
5
SEVEN
65
20
2
E
=
5
5
EIGHT
49
31
4
N
=
5
4
NINE
42
24
6
-
-
39
36
-
458
197
44
-
-
3+9
3+6
-
4+5+8
1+9+7
4+4
-
-
12
9
-
17
17
8
-
-
1+2
-
-
-
-
-
-
-
3
9
-
8
8
8

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Page 32

5


To Sorcerers and Magicians number FIVE is the most powerful - five is the mark of the pentacle, a five pointed star drawn by extending the sides of a Pentagon. Five surely is in the possession of the occult. And the Pentagon is the geometric figure in which the golden ratio of classical art and architecture is found most.

 

 

THE

BALANCING

ONE TWO THREE FOUR

FIVE

NINE EIGHT SEVEN SIX

 

 

O
=
15
-
3
ONE
34
16
7
-
1
T
=
20
-
3
TWO
58
13
4
-
2
T
=
20
-
5
THREE
56
29
2
-
3
F
=
6
-
4
FOUR
60
24
6
-
4
-
-
61
-
15
Add
208
82
19
-
10
-
-
6+1
-
1+5
Reduce
2+0+8
8+2
1+9
-
1+0
-
-
7
-
6
Deduce
10
10
10
-
1
-
-
-
-
-
Produce
1+0
1+0
1+0
-
-
-
-
7
-
6
Essence
1
1
1
-
1

 

 

N
=
14
-
4
NINE
42
24
6
-
9
E
=
5
-
5
EIGHT
49
31
4
-
8
S
=
19
-
5
SEVEN
65
20
2
-
7
S
=
19
-
3
SIX
52
16
7
-
6
-
-
57
-
17
Add
208
91
19
-
30
-
-
5+7
-
1+7
Reduce
2+0+8
9+1
1+9
-
3+0
-
-
12
-
8
Deduce
10
10
10
-
3
-
-
1+2
-
-
Produce
1+0
1+0
1+0
-
-
-
-
3
-
8
Essence
1
1
1
-
3

 

 

4
FIVE
42
24
6

 

1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 2 1

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

 

 

3
ONE
34
16
7
-
3
SIX
52
16
7
3
TWO
58
13
4
-
5
SEVEN
65
20
2
5
THREE
56
29
2
-
5
EIGHT
49
31
4
4
FOUR
60
24
6
-
4
NINE
42
24
6
15
Add
208
82
19
-
17
Add
208
91
19
1+5
Reduce
2+0+8
8+2
1+9
-
1+7
Reduce
2+0+8
9+1
1+9
6
Deduce
10
10
10
-
8
Deduce
10
10
10
-
Produce
1+0
1+0
1+0
-
-
Produce
1+0
1+0
1+0
6
Essence
1
1
1
-
8
Essence
1
1
1

 

.....

-
-
-
-
-
-
-
-
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
-
-
T
=
2
-
5
THREE
56
29
2
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
5
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
20
-
21
-
239
113
23
-
-
2+0
-
2+1
-
2+3+9
1+1+3
2+3
-
-
2
-
3
-
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
2
-
3
-
5
5
5

 

 

-
-
-
-
-
-
-
-
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
-
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
-
-
-
-
-
-
-
14
-
15
-
219
84
21
-
-
1+4
-
1+5
-
2+1+9
8+4
2+1
-
-
5
-
6
-
12
12
3
-
-
4+2
-
-
-
1+2
1+2
-
-
-
5
-
6
-
3
3
3

 

 

-
-
-
-
-
-
-
-
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
-
-
T
=
2
-
5
THREE
56
29
2
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
5
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
20
-
21
-
239
113
23
-
-
2+0
-
2+1
-
2+3+9
1+1+3
2+3
-
-
2
-
3
-
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
2
-
3
-
5
5
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
-
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
-
-
-
-
-
-
-
14
-
15
-
219
84
21
-
-
1+4
-
1+5
-
2+1+9
8+4
2+1
-
-
5
-
6
-
12
12
3
-
-
4+2
-
-
-
1+2
1+2
-
-
-
5
-
6
-
3
3
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-

 

 

-
-
-
-
-
-
-
-
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
-
-
T
=
2
-
5
THREE
56
29
2
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
5
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
23
-
21
-
239
113
23
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
-
-
-
-
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
-
-
E
=
5
-
5
EIGHT
49
31
4
-
-
14
-
15
-
219
84
21
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
37
-
36
-
458
197
44
-
-
3+7
-
3+6
-
4+5+8
1+9+7
4+4
-
-
10
-
9
-
17
17
8
-
-
1+0
-
-
-
1+7
1+7
-
-
-
1
-
9
-
8
8
3

 

ONE THREE FIVE SEVEN TWO FOUR SIX EIGHT

 

 

-
-
-
-
5
FIVE
-
-
-
-
-
-
1
-
F
6
6
6
-
-
-
1
-
I
9
9
9
-
-
-
2
-
V+E
27
9
9
F
=
6
4
4
FIVE
42
24
24
-
-
-
-
-
-
4+2
2+4
2+4
F
=
6
4
4
FIVE
6
6
6

 

 

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

 

 

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

 

 

ZERO = 1 ONE = 7 SEVEN = 2 TWO = 4 FOUR = 6 SIX = 7

 

Z
=
8
-
0
-
0
ZERO
64
28
1
-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
3
-
1
ONE
34
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
-
-
24
-
18
-
20
-
333
117
27
-
-
2+4
-
1+8
-
2+0
-
3+3+3
1+1+7
2+7
-
-
6
-
9
-
2
-
9
9
9

 

 

ONE = 7 SEVEN = 2 TWO = 4 FOUR = 6 SIX = 7

 

-
-
-
-
-
-
-
-
-
-
-
O
=
6
-
3
-
1
ONE
34
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
-
-
16
-
18
-
20
-
269
89
26
-
-
1+6
-
1+8
-
2+0
-
2+6+9
8+9
2+6
-
-
7
-
9
-
2
-
17
17
8
-
-
-
-
-
-
-
-
1+7
1+7
-
-
-
7
-
9
-
2
-
8
8
8

 

 

TWO = 4 FOUR = 6 SIX = 7 SEVEN = 2

 

-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
-
-
10
-
15
-
19
-
235
73
19
-
-
1+0
-
1+5
-
1+9
-
2+3+5
7+3
1+9
-
-
1
-
6
-
10
-
10
10
10
-
-
-
-
-
-
1+0
-
1+0
1+0
1+0
-
-
1
-
6
-
1
-
1
1
1

 

 

THREE = 2 TWO = 4 FOUR = 6 SIX = 7 SEVEN = 2

 

-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
5
-
5
THREE
56
29
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
-
-
12
-
20
-
24
-
291
102
19
-
-
1+2
-
2+0
-
2+4
-
2+3+5
1+0+2
1+9
-
-
3
-
2
-
6
-
10
10
10
-
-
-
-
-
-
-
-
1+0
1+0
1+0
-
-
3
-
2
-
6
-
1
1
1

 

 

FOUR = 6 SIX = 7 SEVEN = 2 TWO = 4

 

-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
-
-
10
-
15
-
19
-
235
73
19
-
-
1+0
-
1+5
-
1+9
-
2+3+5
7+3
1+9
-
-
1
-
6
-
10
-
10
10
10
-
-
-
-
-
-
1+0
-
1+0
1+0
1+0
-
-
1
-
6
-
1
-
1
1
1

 

 

FIVE = 6 SIX = 7 SEVEN = 2 TWO = 4 FOUR = 6

 

-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
5
FIVE
42
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
-
-
16
-
19
-
24
-
277
97
25
-
-
1+6
-
1+9
-
2+4
-
2+7+7
9+7
2+5
-
-
7
-
10
-
6
-
16
16
7
-
-
-
-
1+0
-
-
-
1+6
1+6
-
-
-
7
-
1
-
6
-
7
7
7

 

 

SIX = 7 SEVEN = 2 TWO = 4 FOUR = 6

 

-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
-
-
10
-
15
-
19
-
235
73
19
-
-
1+0
-
1+5
-
1+9
-
2+3+5
7+3
1+9
-
-
1
-
6
-
10
-
10
10
10
-
-
-
-
-
-
1+0
-
1+0
1+0
1+0
-
-
1
-
6
-
1
-
1
1
1

 

 

SEVEN = 2 TWO = 4 FOUR = 6 SIX = 7

 

-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
10
-
15
-
19
-
235
73
19
-
-
1+0
-
1+5
-
1+9
-
2+3+5
7+3
1+9
-
-
1
-
6
-
10
-
10
10
10
-
-
-
-
-
-
1+0
-
1+0
1+0
1+0
-
-
1
-
6
-
1
-
1
1
1

 

 

EIGHT = 4 FOUR = 6 SIX = 7 SEVEN = 2 TWO = 4

 

-
-
-
-
-
-
-
-
-
-
-
E
=
5
-
5
-
8
EIGHT
49
31
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
-
-
15
-
20
-
27
-
284
104
23
-
-
1+5
-
2+0
-
2+7
-
2+8+4
1+0+4
2+3
-
-
6
-
2
-
9
-
14
5
5
-
-
-
-
-
-
-
-
1+4
-
-
-
-
6
-
2
-
9
-
5
5
5

 

 

NINE = 6 SIX = 7 SEVEN = 2 TWO =4 FOUR = 6

 

-
-
-
-
-
-
-
-
-
-
-
N
=
5
-
4
-
9
NINE
42
24
6
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
3
-
6
SIX
52
16
7
-
-
-
-
-
-
-
-
-
-
-
S
=
1
-
5
-
7
SEVEN
65
20
2
-
-
-
-
-
-
-
-
-
-
-
T
=
2
-
3
-
2
TWO
58
13
4
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
4
-
4
FOUR
60
24
6
-
-
-
-
-
-
-
-
-
-
-
-
-
15
-
19
-
28
-
235
73
19
-
-
1+5
-
1+9
-
2+8
-
2+3+5
7+3
1+9
-
-
6
-
10
-
10
-
10
10
10
-
-
-
-
1+0
-
1+0
-
1+0
1+0
1+0
-
-
6
-
1
-
1
-
1
1
1

 

 

ZERO = 1 ONE = 7 SEVEN = 2 TWO = 4 FOUR = 6 SIX = 7

ONE = 7 SEVEN = 2 TWO = 4 FOUR = 6 SIX = 7

TWO = 4 FOUR = 6 SIX = 7 SEVEN = 2

THREE = 2 TWO = 4 FOUR = 6 SIX = 7 SEVEN = 2

FOUR = 6 SIX = 7 SEVEN = 2 TWO = 4

FIVE = 6 SIX = 7 SEVEN = 2 TWO = 4 FOUR = 6

SIX = 7 SEVEN = 2 TWO = 4 FOUR = 6

SEVEN = 2 TWO = 4 FOUR = 6 SIX = 7

EIGHT = 4 FOUR = 6 SIX = 7 SEVEN = 2 TWO = 4

NINE = 6 SIX = 7 SEVEN = 2 TWO =4 FOUR = 6

 

 

-
LEARN
-
-
-
4
R+E+A+L
9
18
36
1
N
5
5
14
5
LEARN
14
23
50
-
-
1+4
2+3
5+0
5
LEARN
5
5
5

 

 

I

SAY

THREAD

ME

ANOTHER

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

Z5RO O55 T5O THR55 FOUR FIV5 SIX S5V55 5IGHT 5I55

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

5
LEARN
-
-
-
4
REAL
36
18
9
1
N
14
5
5
6
MAATIS
63
9
8
1
N
14
5
5
4
REAL
36
18
9
5
LEARN
-
-
-

 

 

ZERO 0 ZERO

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

FIVE = 6 6 = FIVE

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO 0 ZERO

 

 

-
LEAR N REAL
-
-
-
4
L+E+A+R
9
18
36
1
N
5
5
14
4
R+E+A+L
9
18
36
9
LEAR N REAL
23
41
86
-
-
2+3
4+1
8+6
9
LEAR N REAL
5
5
14
-
-
-
-
1+4
9
LEAR N REAL
5
5
5

 

 

-
9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
-
`-
-
-
-
-
-
5
-
-
-
-
-
+
=
5
-
=
5
=
5
=
5
-
`-
-
-
-
-
-
14
-
-
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
-
`-
3
5
1
9
-
-
-
9
5
1
3
+
=
36
3+6
=
9
=
9
=
9
-
-
12
5
1
18
-
-
-
18
5
1
12
+
=
72
7+2
=
9
=
9
=
9
-
9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
-
-
12
5
1
18
-
14
-
18
5
1
12
+
=
86
8+6
=
14
=
5
=
5
-
-
3
5
1
9
-
5
-
9
5
1
3
+
=
41
4+1
=
5
=
5
=
5
-
9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
3
-
4
-
-
-
-
-
-
4
3
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
4
-
-
-
-
-
-
4
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
5
5
-
-
-
5
-
-
5
-
5
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
4
-
-
-
-
-
-
4
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
4
-
-
-
-
-
-
4
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
4
-
-
-
-
-
-
4
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
-
9
-
-
-
9
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
27
9
L
E
A
R
-
N
-
R
E
A
L
-
-
18
-
-
9
-
41
-
23
2+7
`-
9
-
-
9
-
-
-
9
-
-
9
-
-
1+8
-
-
-
-
4+1
-
2+3
9
9
L
E
A
R
-
N
-
R
E
A
L
-
-
9
-
-
9
-
5
-
5
-
`-
3
5
1
9
-
5
-
9
5
1
3
-
-
-
-
-
-
-
-
-
-
9
9
L
E
A
R
-
N
-
R
E
A
L
-
-
9
-
-
9
-
5
-
5

 

 

9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
`-
-
-
-
-
-
5
-
-
-
-
-
+
=
5
-
=
5
=
5
=
5
`-
-
-
-
-
-
14
-
-
-
-
-
+
=
14
1+4
=
5
=
5
=
5
9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
`-
3
5
1
9
-
-
-
9
5
1
3
+
=
36
3+6
=
9
=
9
=
9
-
12
5
1
18
-
-
-
18
5
1
12
+
=
72
7+2
=
9
=
9
=
9
9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
-
12
5
1
18
-
14
-
18
5
1
12
+
=
86
8+6
=
14
=
5
=
5
-
3
5
1
9
-
5
-
9
5
1
3
+
=
41
4+1
=
5
=
5
=
5
9
L
E
A
R
-
N
-
R
E
A
L
-
-
-
-
-
--
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
=
2
-
3
-
4
-
-
-
-
-
-
4
3
-
-
3
occurs
x
2
=
6
=
6
-
5
5
-
-
-
5
-
-
5
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
9
-
-
9
-
-
-
9
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
9
L
E
A
R
-
N
-
R
E
A
L
-
-
18
-
-
9
-
41
-
23
`-
9
-
-
9
-
-
-
9
-
-
9
-
-
1+8
-
-
-
-
4+1
-
2+3
9
L
E
A
R
-
N
-
R
E
A
L
-
-
9
-
-
9
-
5
-
5
`-
3
5
1
9
-
5
-
9
5
1
3
-
-
-
-
-
-
-
-
-
-
9
L
E
A
R
-
N
-
R
E
A
L
-
-
9
-
-
9
-
5
-
5

 

 

F
=
6
-
3
FOR
39
21
3
E
=
5
-
5
EVERY
75
30
3
A
=
1
-
6
ACTION
62
26
8
T
=
2
-
5
THERE
56
29
2
I
=
9
-
2
IS
28
19
1
A
=
1
-
2
AN
15
6
6
E
=
5
-
5
EQUAL
56
20
2
A
=
1
-
3
AND
19
10
1
O
=
6
-
8
OPPOSITE
115
43
7
R
=
9
-
8
REACTION
85
40
4
-
-
45
4
46
First Total
550
244
37
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
Q
-
9
-
10
Second Total
10
10
10
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
9
5
1
Essence of Number
1
1
1

 

 

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

 

 

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

 

 

The Upside Down of the Downside Up

 

 

 

 

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

 

 

THE

FAR YONDER SCRIBE

AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN FINE AMAZE

THE

ZED ALIZ ZED

IN SWIFT REPEAT SCATTER THE NINE NUMBERS AMONGST THE LETTERS OF THEIR PROGRESS

AT THE THROW OF THE NINTH RAM WHEN IN CONJUNCTION SET

THE

FAR YONDER SCRIBE

MADE RECORD OF THE FALL

 

 

ABCDEFGHIJKLMNOPQRSTUVWXYZ

 

8
ABCDEFGH
36
36
9
1
I
9
9
9
8
JKLMNOPQ
108
36
9
1
R
18
18
9
8
STUVWXYZ
180
36
9
26
Add to Reduce
351
126
72
2+6
Reduce to Deduce
3+5+1
1+2+6
7+2
8
Essence of Number
9
9
9

 

ZYXWVUTSRQPONMLKJIHGFEDCBA

ABRACADABRA

ARBADACARBA

ABCDEFGHIJKLMNOPQRSTUVWXYZ

 

3
ABC
6
6
6
2
DE
9
9
9
2
FG
13
13
4
3
HIJ
27
18
9
2
KL
23
5
5
2
MN
27
9
9
2
OP
31
13
4
3
QRS
54
18
9
2
TU
41
5
5
2
VW
45
9
9
3
XYZ
75
21
3
26
-
351
126
72
2+6
-
3+5+1
1+2+6
7+2
8
-
9
9
9

 

ZYXWVUTSRQPONMLKJIHGFEDCBA

ARBADACARBA

ABRACADABRA

 

 

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 inust be purpose in the whole and that man was part of that whole and not an accidental offshoot. It was a feeling that transcended reason; that went to the heart of man's despair and found it groundless. The universe was a cosmos, not a chaos; man was as rightfully a part of that cosmos as were the day and night.10

Returning to the account of the story of Osiris, son of Cronus 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 Sattun's absence (and the mention of Osiris's absence. prompts one to recall this other), the resulting product is 2,160: the number of years required, for one 30° shift, or a shift: through one complete sign of the zodiac. This number multplied by the /Page205 / 12 signs also gives 25,920. (And Plutarch has reminded us of 12)

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

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

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

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

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

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

AN IMPORTANT POSTSCRIPT

Of course, using our own notational system, all the important numbers have digits that reduce to that amazing number 9 a number that has 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 reflets, among other things, the five Celtic dialects that he was investigating. Of course, 5 x 72= 360, 360 x 72= 25,920. Five is also the number of the planets kn to the ancient world, that is, Saturn, Jupiter, Mars, Venus Mercury.

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

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

Page 207

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

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

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

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

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

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

 

OSIRIS SO IRIS ISISIS

 

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

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8
-
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6
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5
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8
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1
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6
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1
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9
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8
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9
5
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26
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15
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23
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5
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26
5
18
15
-
15
14
5
-
20
23
15
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20
8
18
5
5
-
6
15
21
18
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6
9
22
5
-
19
9
24
-
19
5
22
5
14
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5
9
7
8
20
-
14
9
14
5
8
5
9
6
-
6
5
5
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2
5
6
-
2
8
9
5
5
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6
6
3
9
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6
9
4
5
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1
9
6
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1
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5
5
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5
9
7
8
2
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9
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5
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-
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1
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-
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-
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-
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2
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2
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3
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5
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5
5
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5
-
5
5
-
5
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5
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5
5
-
-
-
6
-
6-
-
-
-
-
-
6
-
-
-
-
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-
-
6
6
-
-
-
6
-
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6
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7
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8
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8
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8
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9
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9
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9
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9
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9
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N
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-
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9
-
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9
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S
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N
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H
T
-
N
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E
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
Z
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O
-
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N
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-
T
W
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F
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0
-

4

 ZERO

64

28
1
1
-
3

ONE
34
16
7
2
-
3

TWO
58
13
4
3
-
5

THREE
56
29
2
4
-
4

FOUR
60
24
6
5
-
4

FIVE
42
24
6
6
-
3

SIX
52
16
7
7
-
5

SEVEN
65
20
2
8
-
5

EIGHT
49
31
4
9
-
4

NINE
42
24
6
45
-
40
-
522
225
45
4+5
-
4+0
-
5+2+2
2+2+5
4+5
9
-
4
-
9
9
9

 

 

Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
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E
-
F
O
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R
-
F
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V
E
-
S
I
X
-
S
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V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
8
-
-
6
-
6
5
-
-
-
-
6
-
-
8
-
-
-
-
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6
-
-
-
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9
-
-
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1
9
6
-
1
-
-
-
5
-
-
9
-
8
-
-
5
9
5
-
+
=
112
1+1+2
=
4
-
4
-
4
26
-
-
15
-
15
14
-
-
-
-
15
-
-
8
-
-
-
-
-
15
-
-
-
-
9
-
-
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19
9
24
-
19
-
-
-
14
-
-
9
-
8
-
-
14
9
14
-
+
=
256
2+5+6
=
13
1+3
4
-
4
Z
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O
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N
E
-
T
W
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T
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F
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F
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S
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S
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N
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I
G
H
T
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
-
5
-
2
5
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
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-
-
-
-
-
5
4
5
-
-
5
-
7
-
2
-
-
-
-
5
+
=
113
1+1+3
=
5
-
5
-
5
-
5
18
-
-
-
-
5
-
20
23
-
-
20
-
18
5
5
-
6
-
21
18
-
6
-
22
5
-
-
-
-
-
-
5
22
5
-
-
5
-
7
-
20
-
-
-
-
5
+
=
266
2+6+6
=
14
1+4
5
-
5
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
26
5
18
15
-
15
14
5
-
20
23
15
-
20
8
18
5
5
-
6
15
21
18
-
6
9
22
5
-
19
9
24
-
19
5
22
5
14
-
5
9
7
8
20
-
14
9
14
5
+
=
522
5+2+2
=
9
-
9
-
9
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
+
=
225
2+2+5
=
9
-
9
-
9
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
-
-
-
-
-
-
-
-
-
-
-
-
-
+
=
4
occurs
x
2
=
8
-
8
-
5
-
-
-
-
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
5
-
-
-
-
-
5
-
5
5
+
=
5
occurs
x
14
=
70
7+0
7
-
-
-
6
-
6-
-
-
-
-
-
6
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
=
6
occurs
x
7
=
42
4+2
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
+
=
7
occurs
x
1
=
7
-
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
+
=
8
occurs
x
3
=
24
2+4
6
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
+
=
9
occurs
x
7
=
63
6+3
9
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
45
-
-
40
-
225
-
54
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
-
4+5
-
-
4+0
-
2+2+5
-
5+4
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
9
-
-
4
-
9
-
9
8
5
9
6
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
1
9
6
-
1
5
4
5
5
-
5
9
7
8
2
-
5
9
5
5
-
-
-
-
-
-
-
-
-
-
Z
E
R
O
-
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
S
I
X
-
S
E
V
E
N
-
E
I
G
H
T
-
N
I
N
E
-
-
9
-
-
4
-
9
-
9

 

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

A
=
1
-
-
-
-
-
-
A
=
1
occurs
x
0
=
-
-
-
=
-
-
B
=
2
-
-
-
-
-
-
B
=
2
occurs
x
0
=
-
-
-
=
-
-
C
=
3
-
-
-
-
-
-
C
=
3
occurs
x
0
=
-
-
-
=
-
-
D
=
4
-
-
-
-
-
-
D
=
4
occurs
x
0
=
-
-
-
=
-
-
E
=
-
5
-
5
-
5
-
E
=
5
occurs
x
9
=
45
4+5
=
9
-
9
F
=
-
6
-
6
-
6
-
F
=
6
occurs
x
2
=
12
-
-
3
-
3
G
=
-
7
-
7
-
7
-
G
=
7
occurs
x
1
=
7
-
-
7
-
7
H
=
-
8
-
8
-
8
-
H
=
8
occurs
x
2
=
16
1+6
-
7
-
7
I
=
-
9
-
9
-
9
-
I
=
9
occurs
x
4
=
36
3+6
=
9
-
9
J
=
10
-
-
-
-
-
-
J
=
10
occurs
x
0
=
-
-
-
-
-
-
K
=
11
-
-
-
-
-
-
K
=
11
occurs
x
0
=
-
-
-
-
-
-
L
=
12
-
-
-
-
-
-
L
=
12
occurs
x
0
=
-
-
-
-
-
-
M
=
13
-
-
-
-
-
-
M
=
13
occurs
x
0
=
-
-
-
-
-
-
N
=
-
14
1+4
5
-
5
-
N
=
14
occurs
x
4
=
56
5+6
=
11
1+1
1
O
=
-
15
1+5
6
-
6
-
O
=
15
occurs
x
4
=
60
6+0
=
6
-
6
P
=
16
-
-
-
-
-
-
P
=
16
occurs
x
0
=
-
-
-
-
-
-
Q
=
17
-
-
-
-
-
-
Q
=
17
occurs
x
0
=
-
-
-
-
-
-
R
=
-
18
1+8
9
-
9
-
R
=
18
occurs
x
3
=
54
5+4
=
9
-
9
S
=
-
19
1+9
10
1+0
1
-
S
=
19
occurs
x
2
=
38
3+8
=
11
1+1
1
T
=
-
20
2+0
2
-
2
-
T
=
20
occurs
x
3
=
60
6+0
=
6
-
6
U
=
-
21
2+1
3
-
3
-
U
=
21
occurs
x
1
=
21
2+1
=
3
-
3
V
=
-
22
2+2
4
-
4
-
V
=
22
occurs
x
2
=
44
4+4
=
8
-
8
W
=
-
23
2+3
5
-
5
-
W
=
23
occurs
x
1
=
23
2+3
=
5
-
5
X
=
-
24
2+4
6
-
6
-
X
=
24
occurs
x
1
=
24
2+4
=
6
-
6
Y
=
25
-
-
-
-
-
-
Y
=
25
occurs
x
0
=
-
-
-
-
-
-
Z
=
-
26
2+6
8
-
8
-
Z
=
26
occurs
x
1
=
26
2+6
=
8
-
8
-
-
114
237
-
84
-
-
-
-
-
351
-
-
40
-
522
-
-
108
-
45
-
-
1+1+4
2+3+7
-
8+4
-
-
-
-
-
3+5+1
-
-
4+0
-
5+2+2
-
-
1+0+8
-
4+5
-
-
6
12
-
12
-
-
-
-
-
9
-
-
4
-
9
-
-
9
-
9
-
-
-
1+2
-
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
3
-
3
-
-
-
-
-
9
-
-
4
-
4
-
-
9
-
9

 

NINE EIGHT SEVEN SIX FIVE FOUR THREE TWO ONE ZERO

 

 

1
I
9
9
9
4
THAT
49
13
4
2
AM
14
14
5
6
DIVINE
63
36
9
7
THOUGHT
99
36
9
8
GOD SATAN
81
36
9
9
LIGHT DARK
117
90
9
16
POSITIVE NEGATIVE
198
81
9
10
NAMES OF GOD
99
54
9
10
GOD OF NAMES
99
54
9
16
NEGATIVE POSITIVE
198
81
9
-
-
-
-
-
-
-
-
-
-
10
MIND MATTER
117
45
9
6
MATTER
77
23
5
4
MIND
40
22
4
4
MIND
40
22
4
6
MATTER
77
23
5
10
MATTER MIND
117
45
9
-
-
-
-
-
-
-
-
-
-
-
AS ABOVE SO BELOW
-
-
-
2
AS
20
11
2
5
ABOVE
36
18
9
2
SO
34
16
7
5
BELOW
57
21
3
16
AS BELOW SO ABOVE
147
66
21
1+6
-
1+4+7
6+6
 2+1
7
AS ABOVE SO BELOW
12
12
3
-
-
1+2
1+2
-
7
AS BELOW SO ABOVE
3
3
3

 

 

-
-
-
-
--
EVEN
--
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
V
22
4
4
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
E
=
5
-
4
EVEN
46
19
19
-
-
-
-
-
-
4+6
1+9
1+9
-
-
-
-
4
EVEN
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
-
-
-
-
4
EVEN
1
1
1

 

 

--
EVEN
--
-
-
2
EV
27
9
9
1
E
5
5
5
1
N
14
5
5
4
EVEN
46
19
19
-
-
4+6
1+9
1+9
4
EVEN
10
10
10
-
-
1+0
1+0
1+0
4
EVEN
1
1
1

 

 

--
EVEN
--
-
-
1
E
5
5
5
2
EV
27
9
9
1
N
14
5
5
4
EVEN
46
19
19
-
-
4+6
1+9
1+9
4
EVEN
10
10
10
-
-
1+0
1+0
1+0
4
EVEN
1
1
1

 

 

--
EVEN
--
-
-
2
EV
27
9
9
2
EN
19
10
1
4
EVEN
46
19
10
-
-
4+6
1+9
1+0
4
EVEN
10
10
1
-
-
1+0
1+0
-
4
EVEN
1
1
1

 

 

-
4
E
V
E
N
-
-
-
-
--
-
--
-
-
-
-
--
-
-
5
+
=
5
-
=
5
=
5
=
5
-
-
-
-
-
14
+
=
14
1+4
=
5
=
5
=
5
-
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
-
5
4
5
-
+
=
14
1+4
=
5
=
5
=
5
-
`-
5
22
5
-
+
=
32
3+2
=
32
3+2
5
=
5
-
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
`-
5
22
5
14
+
=
46
4+6
=
10
1+0
1
=
1
-
-
5
4
5
5
+
=
19
1+9
=
10
1+0
1
=
1
-
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
5
5
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
--
-
-
-
-
-
-
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
36
4
E
V
E
N
-
-
9
-
-
4
-
19
-
10
3+6
-
5
-
5
5
-
-
-
-
-
-
-
1+9
-
1+0
9
4
E
V
E
N
-
-
9
-
-
4
-
10
-
1
-
-
5
4
5
5
-
-
-
-
-
-
-
1+0
-
-
6
4
E
V
E
N
-
-
9
-
-
4
-
1
-
1

 

THE KINGDOM OF EVEN

 

4
E
V
E
N
-
-
-
-
--
-
--
-
-
-
--
-
-
5
+
=
5
-
=
5
=
5
=
5
-
-
-
-
14
+
=
14
1+4
=
5
=
5
=
5
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
5
4
5
-
+
=
14
1+4
=
5
=
5
=
5
`-
5
22
5
-
+
=
32
3+2
=
32
3+2
5
=
5
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
`-
5
22
5
14
+
=
46
4+6
=
10
1+0
1
=
1
-
5
4
5
5
+
=
19
1+9
=
10
1+0
1
=
1
4
E
V
E
N
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
5
-
5
5
-
-
5
occurs
x
3
=
15
1+5
6
4
E
V
E
N
-
-
9
-
-
4
-
19
-
10
-
5
-
5
5
-
-
-
-
-
-
-
1+9
-
1+0
4
E
V
E
N
-
-
9
-
-
4
-
10
-
1
-
5
4
5
5
-
-
-
-
-
-
-
1+0
-
-
4
E
V
E
N
-
-
9
-
-
4
-
1
-
1

 

EVEN SO SO EVEN

SEVEN EVEN SEVEN

I

MIN

HEAVEN

 

-
11
T
H
E
-
H
O
L
Y
-
N
A
M
E
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
8
6
-
-
-
5
-
-
-
+
=
27
2+7
=
9
=
9
=
9
-
-
-
8
-
-
8
15
-
-
-
14
-
-
-
+
=
45
4+5
=
9
=
9
=
9
-
11
T
H
E
-
H
O
L
Y
-
N
A
M
E
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
-
-
-
3
7
-
-
1
4
5
+
=
27
2+7
=
9
=
9
=
9
-
-
20
-
5
-
-
-
12
25
-
-
1
13
5
+
=
81
8+1
=
9
=
9
=
9
--
11
T
H
E
-
H
O
L
Y
-
N
A
M
E
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
8
15
12
25
-
14
9
14
5
+
=
126
1+2+6
=
9
=
9
=
9
-
-
2
8
5
-
8
6
3
7
-
5
9
5
5
+
=
54
5+4
=
9
=
9
=
9
-
11
T
H
E
-
H
O
L
Y
-
N
A
M
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
--
3
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
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
2
=
16
1+6
7
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
11
T
H
E
-
H
O
L
Y
-
N
A
M
E
-
-
36
-
-
11
-
54
-
36
-
1+1
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
3+6
-
-
1+1
-
5+4
-
3+6
9
2
T
H
E
-
H
O
L
Y
-
N
A
M
E
-
-
9
-
-
2
-
9
-
9

 

 

THAT THAT THAT

HOLY

ISISISIS

 

 

 

 

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

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Page 12

Talisman

Enjil slept uncomfortably, his mind full of torment in fear of the Examination to come. He was standing in front of the Elders, those of the supreme rank, and he had nothing to say! He had not found a proof or a clever hypothesis to place before them on this auspicious day. And the day could not be put back - it marched right up to him, dragging him out brutally into the open, while the Elders, in their crimson robes, sat at the high table waiting for him. They motioned him to come up. He climbed up the steps and went to the blackboard and picked up the dry chalk in his wet, nervous hands.

Villagers crammed the square to see him perform. Word had gone out that the boy with the limp had magic powers; for when he lay dying from smallpox a strange bird had suddenly flown in and settled on his fevered brow, pecking at it. Superstition said it was the devil who seized a person's brain at such times, to give out great powers only to suck it back again at the moment of death, to prevent that tender soul from being re-born. And amazingly, as the bird flew away Enjil recovered and began talking in strange languages and writing down sheets of numbers, confusing everyone with ideas that they had never heard of

Page 13

Stories travelled through the mountain communities about the boy with the pockmarked face. How could the child be so precocious if not for some super-natural power? (No-one mentioned the devil's name for that would bring bad luck down on all of them!)

Enjil's beleaguered parents took him to the temple and gave him away to the priests, who in turn gave him away to the Academy and the Elders, these same Elders who now were laughing in his face- "Where is the cleverness that brought you here?", they mocked. "You insult us with your silence. We know who you are; The Devil's Child, a horrible trick; a wretch we now must throw out from this place of learning - Go! Only scholars are admitted here, true scholars like Vivek, who can work out the symmetry of magic squares better than you. " The insults came thick and fast like poisoned darts thrown at him, tipped with venom.

But the boy had nothing to say, his hand stuck fixed in the air with the chalk wet in his fingers. And the villagers became angry at being deceived. Provoked by Vivek, Enjil's older rival for the title of Master; the villagers aroused themselves into a riot. As the mob hurtled towards him Enjil woke up with a scream, his heart racing. The sweat poured off him; he felt he was dying. But framed in his window the night moon shone brightly, the wind rustling the leaves like waves washing the shore. There was no mob, there were no accusing Elders. Everything was quiet and peaceful. There was really nothing wrong with the world, or him. The Examination was still days away; and he was well prepared!

Page 14

His thesis was done - he had a proof written out in the higher algebra which his mentor had said would easily give him the title of Master; it was the sort of thing the Elders would like, for it was similar to the studies each of them had done. "It is not about being original, Enjil", his mentor said, "for you must not sit uncomfortably in your superiors minds. If you present something they do not understand, or agree with as high learning, they will fail you. Conform, and then privately get on with your real discoveries. That is what we all do. " His teacher shrugged at the way life was at the Academy and worry grew on the old man's face at the thought of what his stubborn student might do. But Enjil had listened, he had conformed - his thesis was as fine a piece of complicated mathematics as one could wish for; deliberately put together in an obscure way so that difficulties abounded in every line of the argument. In truth, Enjil had a much simpler proof but it would appear too easy. So he had put it to one side and applied himself to obscurities in the demonstration of his thesis, knowing this approach would be more favoured by the Elders. And the peace of the night said he had nothing to worry about but go back to sleep and wait happily for that day of the Examination.

As he lay there looking up at the moon, his mind began to wander over the ideas he really loved to think about, like the expansion of3t. Was there a pattern to it? Or how many unlike squares could fit into a rectangle or another square? This was a problem no one at the Academy could solve, though /Page 15/ Enjil had come near. Was every even integer the sum

of two prime numbers as ten was the sum of three plus seven?

And there was more - the multiplication patterns along diagonals used by the Chinese or the elegant ratios used by the ancient geometers that gave beauty and shape to the spiral and to the growth of the leaves around a stalk or the petals in a flower.

As he roamed through the numbers in his mind a strange thing then happened. A moon beam suddenly reached out to him and dropped to Earth and turned into a shining woman. "So here you are!", she said smiling. "I have kept looking out for you. I find you here of all places, in a musty old Academy or is it a temple?" She Wrinkled up her nose at the small room he slept in. The woman stroked his leg- "Does your leg hurt? I saw you as a child, limping, dragging your leg through the sand, making patterns that were wonderful-my friends still talk about you. I am Soma. Do you still play such games? You gave me and my companions a lot to think about that day, about the possible patterns in a matrix, instead of just the straight across and up and down. And now here you are, almost fully grown, yet still only a boy and sitting for the Examination of Master! Hah, that will sound fine - Master Enjil, Master Mathematician! How'd you like that?"

She patted him on the head and stroked his hair. Enjil could see the beautiful colours in her eyes. Her energy flowed into him. She took his thoughts away and she spoke to him:

Page16

"There are the cumbersome proofs you follow that only the few will ever understand. Your proofs are carrion for those vultures, the Elders. So why don't you do something else, something amazingly different for your Examination? You are capable of it! Why give the elders what they want, such a narrow outcome from your learning; why not something that everyone can enjoy?

Imagine even the villagers following your every sign on the blackboard, understanding it and seeing a simple but great truth unravelling right before their eyes. Something that lies under their noses, wouldn't that be fun?

How about drawing the many different shapes of squares it takes to fit in just one square. Ah - I know you were thinking of this already. You see I know your thoughts - so I count them out. And I'll spoil it for you anyway, I'm going to give you the answer; twenty-four! Yes, don't look so amazed, it takes that many different squares to fit into one square. You want to know the size of the square that allows this to happen? Ah, that is harder. That you must work out for yourself ." She smiled teasingly and added, "Do you know the answer to the simpler problem; how many different squares does it take to fit in one rectangle? I'll tell you: It's nine! Nine unequal squares go to make up a rectangle."

"But why bother about geometry; why not something simpler than that? What is it that everyone knows and feels expert about? I'll tell you. It's numbers of course! Imagine the village folk clapping hands and cheering as they see you, their /Page17/ new master; working with the humble materials of numbers, the tools they use every day of their lives to count coins and goats and sacks of grain from the harvest. Let your mind dwell on this: numbers! Take the most simple ones. Think of their make up. Don't be afraid of the Elders; they are not bad men, but men with too much oldness stuffed into their brains. Take them back to their childhood, let them smile again and hop, skip and jump through your constructions; what do you think of that? You smile? Do I take that as yes? Good! Then here is the riddle you must solve. And remember I will be watching, now that I have found you; but I won't help. I will only give you a signal when you succeed. Remember the only thing that will slow you down or stop you is the amount your mind has grown up to be like the Elders, the brain of an expert. The problem I set is for a child, with a mind that in innocence questions everything and finds new beginnings. I too, believe it or not, am like that. I live in the moon and each night I set a new day. The turning of a fresh beginning uplifts me. It keeps me from falling into endings and dull repeat reasonings. Think about that. In your dreams I will speak to you, I will help. My spirit will be with you. But now I must go for I have to set another day. And this is the question I leave you with:

What is the fixed point in the wind?"

The woman withdrew along the moonbeam and vanished as if she had never been.

/Page18/

Enjil sat up. He looked hard at the moon, staring into the white disc of cold light - and the moment of magic vanished. Was it a trick? Was Vivek his arch rival for the title of Master trying to hypnotise him from a distance? If he listened to the woman it would be like suicide. Standing in that great open courtyard and speaking about simple things that did not need proofs would have the Elders laughing at him, baying like jackals at his feeble efforts. Certainly he would be thrown out. This must indeed be a hex put on him by his enemies!

But what was the fixed point in the wind? The question intrigued and teased him. How can something be unmoving in the swirling wind; what was its fix, if indeed there was such a point? For hours he lay awake struggling with these thoughts until his tired brain came to a stop and wanted rest. Finally Enjil fell asleep. The woman in the moon entered his dreams.

And he woke up with a new conviction - the doubts and torments of the night well behind him. He whistled and even smiled at Vivek, winking at his arch rival as if to say he had prepared a brilliant proof Enjil laughed to himself when he thought of the title he would introduce to his Elders on the day of the Examination. He would wear the yellow robe of scholarship, go up to the blackboard and announce in his most stern voice the customary words, "My respectful Elders and Seniors. I submit for your Examination and proper adjudication this thesis I have now prepared for the award of the Most Expert Master of Mathematics, the honour I now seek, /Page 19/ and pronounce as the title of my learned subject: 'The Fixed Points in the Wind'." He could see them writhing in agony, splitting their sides with laughter and thirsting for his blood. The images made him break out in a cold sweat. But a small voice spoke inside saying, "Don't be afraid - of course you can do it - after all it is an easy question - so solve it like a child, think like one, just like I said."

To solve the riddle Enjil went to a secluded spot and sat in the shade of a banyon tree and blanked everything he knew out of his mind. The great blackness descended. Nothing moved. Shadows went into deeper shadows, layer into layer. A black disc grew. First as a dot, then a circle, then a rushing blind movement. Then the numbers cameout, tumbling one over the other; rolling the patterns over in his head. There were the star patterns, zigzags, squares, cubes, seesaws and the weaving patterns going in and out, all twisting over each other. Mindful of the woman spirit, he looked at the simplest numbers; he followed their trails, the white and black patterns, some, dotted with colour; moving like the wind, changing shape and turning all the time. And there in the simplest patterns were points that did not move or change, no matter what the numbers were. And they were fixed points. When the woman in the moon had talked of the wind Enjil knew she must have spoken of numbers, jumping over each other in gusts of multiplications or blowing steadily in ordered breezes of additions and subtractions. But within these patterns, there was one number and point through which all the others /Page20/ seemed to gather- it indeed must be the fixed point. Could that be the answer to the riddle?

Then Enjil opened his eyes and composed his thesis. It was so simple that he laughed out loud. Never mind the Elders - they would have to love it, for he would draw the movements of all numbers in one simple diagram. What was clever about it was the method he had in his mind. He would take the secret code the Elders knew about but had never thought of using to look beyond their rituals of prophecy, for they would take the letters of someone's name and use such secret numbers to divine the character of that person. But Enjil vowed to go beyond this.

That night he wrote out his thesis. When he had finished he went out into the deserted courtyard and held up each page to the moon. "Look ", he said to the woman in the moon, "I have finished - the task is done. I pray these are the answers."

A shape seemed to move across the face of the yellow disc though he could not be sure. But the woman did not appear. The wind picked up, the night chill made him shiver. Tomorrow was the day, and Vivek would be hoping for his downfall; and his teacher would fret to the last moment as the Elders assembled, sharpening their wits in readiness to humble the nervous candidate. The crowd would gather and settle. Everyone would be waiting, watching.

Still, Enjil was at peace. His ideas were simple, innocent; he believed they would shine through no matter what. While Vivek performed great feats /Page 21/ of algebra Enjil would offer to the Elders and the gathered crowd the four precious mirrors of arithmetic. They could all laugh or puzzle at the reflections he would show them, but in time their doubts would vanish or be blown away, just as the gusting wind cleans out the dirt lying on the ground.

Suddenly a bright light flared, lighting up the compound for an instant, and then faded. Had the woman come to him and acknowledged his answer? Enjil rolled up the pages of his thesis and held up his hand, just in case, to the night sky in salute and farewell and then went to bed. He slept the peace of the innocent, a fixed point himself in that night of swirling anxieties and jealousies. Tomorrow would be a new beginning.

I wear Enjil's Talisman now, whenever I calculate and look into numbers, and remember the mathematician who was a boy. He inspires me to look afresh at things.

Enjil went on to be famous. He surprised the Elders with his arguments of the fixed point in numbers; he astonished the crowd. And if not for them cheering as they did at what was being drawn on the board, the Elders would surely have failed him - the old men being insulted that there was no high algebra or long- winded, obscure complications to be resolved. Enjil's workings were just basic arithmetic, they grumbled, which even a nine year old could follow, they whispered to each other. It was laughable; it was ridiculous and all too simple. But the crowd cheered and cried out, "Master, Master," so many times, that the Elders /Page 22/ gave in. On the boy's shoulders they placed the purple sash of Master embroidered with winding circular motifs in gold thread, and then they held up Enjil's hand to the crowd who in turn roared, "Mas-Ter, Mas- Ter". The four syllable chant rocked the compound. When the dust cleared and the noise subsided and the courtyard was empty, the temple still hummed long into the night with stories of the new Master's cheek and sheer luck.

So Enjil went on to be the real Master of the Academy, outshining everyone and everything. He proved many things, much of it beyond the best minds in that Academy of high learning. But he kept faithful, from what we know of his teachings, to the simple and straightfoward, and always the beautiful and intriguing. The Master saw patterns where others only saw calculations.

Then disaster struck. In the wars that ravaged the country the Academy was set on fire and the intellectuals speared to death. Enjil and his papers and all the great library of learning in the Academy were lost forever. No one found the young mathematician's body. Soon the story went out confirming Enjil as a spirit child, one that visited Earth now and then to remind us of the greater glories that hid elsewhere. Others said it was the work of the devil, who flew in to collect the soul that he had claimed for himself long ago, when the little boy had lain dying from a fierce attack of smallpox.

Whatever the truth of it the crooked smile and limping walk of the Master was no more, severely missed by those who loved him. Those who were there /Page 23/ on that day of the Examination told others. And the words and diagrams spread. The ideas travelled from community to community; changes and additions were made along the way. But the basic structure Enjil proposed is still there in the teaching.

Modem ways have swept across the culture of this great land and hand calculators and computers have taken away the simple romance of numbers, but in remote parts of the highlands, in locked away villages, young mathematicians still look at Enjil's patterns and meditate for half an hour before doing any serious mental computation.

What follows is a trace of the young Master's working, gleaned from private study and old village stories. With Enjil we move towards finding the magic of numbers and that special point, which though full of movement itself, remains unmoving and stationary; just as a fixed point does in the wind.

 Page73

Armed with the code we go on to look into the precious mirrors of arithmetic, the four infinite planes of adding, subtracting, dividing and multiplying, that manipulate all numbers.

The sigma code lays down a trace of how numbers work in secret, we can peer into their basic patterns. But it is only when these patterns are seen as a whole that the beauty of the code is revealed and the astonishing truth of number nine at the heart of our number system.

(And here we must thank zero for even allowing the sigma code to exist. For without zero the process of reduction would not work. Adding digits to pare down to a single digit is dependent on our unique placement value system of units, tens, hundreds, etc. Zero allows the code to be bound within the range 1-9)."

 

....

 

THE MAN WHO LOVED ONLY NUMBERS

Paul Hoffman

1

999

Page 217

"Mathematicians in India in the sixth century had developed a place value system and introduced the concept of a zero to keep their symbols in their proper places. Thus a 1 with an 0 after it, or 10, is a very different number from a 1 alone. Erdos, who always joked that he was old and stupid, said the Indians were very clever, not just in their discovery of zero, but in their choice of similar- sounding Hindi words for stupid person (buddhu) and old person (buddha).

In the seventh century, Hindu scholars introduced Islam to the Indian number scene, and the ideas of zero / Page 216 ( omitted) and place value spread rapidly throughout the Arabic world. Six centuries later, Fibonacci was so impressed with the ease of the Hindu-Arabic numerals that he wanted to make Pisan merchants aware of them. In 1202, he wrote Liber abaci (Book of the Abacus), which, despite the title had little to do with the Abacus and a lot to do with liberating computations from the yoke of Roman numerals. The book seems quaint from the vantage point of the twentieth century, because it explains what we take for granted.

"The nine Indian figures are: 9 8 7 6 5 4 3 2 1, and with the sign Zero. . . any number can be written."

 

THE NINE INDIAN FIGURES ARE: 987654321, AND WITH THE SIGN ZERO. . . ANY NUMBER CAN BE WRITTEN

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
I
=
9
-
6
INDIAN
51
33
6
-
-
-
-
-
-
6
-
-
-
F
=
6
-
7
FIGURES
85
40
4
-
-
-
-
4
-
-
-
-
-
A
=
1
-
3
ARE
24
15
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
123456789
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
W
=
5
-
4
WITH
60
24
6
-
-
-
-
-
-
6
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
S
=
1
-
4
SIGN
49
22
4
-
-
-
-
4
-
-
-
-
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
A
=
1
-
3
ANY
40
13
4
-
-
-
-
4
-
-
-
-
-
N
=
5
-
6
NUMBER
73
28
1
-
1
-
-
-
-
-
-
-
-
C
=
3
-
3
CAN
18
9
9
-
-
-
-
-
-
-
-
-
9
B
=
2
-
2
BE
7
7
7
-
-
-
-
-
-
-
7
-
-
W
=
5
-
7
WRITTEN
109
37
1
-
1
-
-
-
-
-
-
-
-
-
-
56
-
62
First Total
707
320
68
-
4
2
3
12
5
36
7
8
9
-
-
5+6
-
6+2
Add to Reduce
7+0+7
3+2+0
6+8
-
-
-
-
1+2
-
3+6
-
-
-
-
-
11
-
8
Second Total
14
5
14
-
4
2
3
3
5
9
7
8
9
-
-
1+1
-
-
Reduce to Deduce
1+4
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
2
-
8
Essence of Number
5
5
5
-
4
2
3
3
5
9
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
4
6
7
9
T
=
2
-
3
THE
33
15
6
-
-
-
6
-
-
N
=
5
-
4
NINE
42
24
6
-
-
-
6
-
-
I
=
9
-
6
INDIAN
51
33
6
-
-
-
6
-
-
F
=
6
-
7
FIGURES
85
40
4
-
-
4
-
-
-
A
=
1
-
3
ARE
24
15
6
-
-
-
6
-
-
-
-
-
-
-
123456789
-
-
-
-
-
-
-
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
W
=
5
-
4
WITH
60
24
6
-
-
-
6
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
6
-
-
S
=
1
-
4
SIGN
49
22
4
-
-
4
-
-
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
-
-
-
A
=
1
-
3
ANY
40
13
4
-
-
4
-
-
-
N
=
5
-
6
NUMBER
73
28
1
-
1
-
-
-
-
C
=
3
-
3
CAN
18
9
9
-
-
-
-
-
9
B
=
2
-
2
BE
7
7
7
-
-
-
-
7
-
W
=
5
-
7
WRITTEN
109
37
1
-
1
-
-
-
-
-
-
56
-
62
First Total
707
320
68
-
4
12
36
7
9
-
-
5+6
-
6+2
Add to Reduce
7+0+7
3+2+0
6+8
-
-
1+2
3+6
-
-
-
-
11
-
8
Second Total
14
5
14
-
4
3
9
7
9
-
-
1+1
-
-
Reduce to Deduce
1+4
-
1+4
-
-
-
-
-
-
-
-
2
-
8
Essence of Number
5
5
5
-
4
3
9
7
9

 

 

1234 5 6789

CIRCLE 5 CIRCLE

 

4
FIVE
42
24
6

 

1 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 2 1

 

15
ONE TWO THREE FOUR
208
82
1
4
FIVE
42
24
6
17
NINE EIGHT SEVEN SIX
208
91
1

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

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

 

 

4
ZERO
64
28
1

 

OUT OF ZERO COMETH ONE

 

 

JUST SIX NUMBERS

Martin Rees

1
999

OUR COSMIC HABITAT

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'

 

 


" the number 1,836 would have the same connotations"
"A remarkable use of the number 3168 occurs"




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

 

 

4
HOLY
60
24
6
-
R
-
-
-
3
THE
33
15
6
6
COSMIC
62
26
8
3
WOW
61
16
7
7
SIGNALS
81
27
9
23
First Total
297
108
36
2+3
Add to Reduce
2+9+7
1+0+8
3+6
5
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
5
Essence of Number
9
9
9

 

 

S
=
1
-
6
SEARCH
54
27
9
F
=
6
-
3
FOR
39
21
3
E
=
5
-
5
EXTRA
68
23
5
T
=
2
-
11
TERRESTRIAL
145
55
1
I
=
9
-
12
INTELLIGENCE
115
61
7
S
-
23
4
37
First Total
421
187
25
-
-
2+3
-
3+7
Add to Reduce
4+2+1
1+8+7
2+5
-
-
5
-
10
Second Total
7
16
7
-
-
-
-
1+0
Reduce to Deduce
-
1+6
-
-
-
5
-
1
Essence of Number
7
7
7

 

 

4
S.E.T.I.
53
17
8

 

 

-
3
S
E
T
I
-
-
-
-
-
--
-
-
-
-
1
-
-
9
+
=
10
1+0
-
1
=
1
`-
`-
19
-
-
9
+
=
28
2+8
=
10
1+0
1
-
3
S
E
T
I
-
-
-
-
-
--
-
-
-
-
-
5
2
-
+
=
7
-
=
7
=
7
`-
`-
-
5
20
-
+
=
25
2+5
=
7
=
7
-
3
S
E
T
I
-
-
-
-
-
--
-
-
`-
`-
19
5
20
9
+
=
53
5+3
=
8
=
8
-
-
1
5
2
9
+
=
17
1+7
=
8
1+0
8
-
3
S
E
T
I
T
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
-
2
-
-
-
2
occurs
x
1
=
2
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
4
-
-
-
-
-
-
-
4
FOUR
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
28
3
S
E
T
I
-
-
17
-
-
3
-
17
2+8
T
-
-
-
9
T
-
1+7
-
-
-
-
1+7
10
3
S
E
T
I
-
-
8
-
-
3
-
8
1+0
-
1
5
2
9
T
-
-
-
-
-
-
-
1
3
S
E
T
I
-
-
8
-
-
3
-
8

 

 

3
S
E
T
I
-
-
-
-
-
--
-
-
-
1
-
-
9
+
=
10
1+0
-
1
=
1
`-
19
-
-
9
+
=
28
2+8
=
10
1+0
1
3
S
E
T
I
-
-
-
-
-
--
-
-
-
-
5
2
-
+
=
7
-
=
7
=
7
`-
-
5
20
-
+
=
25
2+5
=
7
=
7
3
S
E
T
I
-
-
-
-
-
--
-
-
`-
19
5
20
9
+
=
53
5+3
=
8
=
8
-
1
5
2
9
+
=
17
1+7
=
8
1+0
8
3
S
E
T
I
T
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
2
-
-
-
2
occurs
x
1
=
2
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
9
-
-
9
occurs
x
1
=
9
3
S
E
T
I
-
-
17
-
-
3
-
17
T
-
-
-
9
T
-
1+7
-
-
-
-
1+7
3
S
E
T
I
-
-
8
-
-
3
-
8
-
1
5
2
9
T
-
-
-
-
-
-
-
3
S
E
T
I
-
-
8
-
-
3
-
8

 

 

Shakespeare Quotes - Such Stuff as Dreams Are Made on.
www.enotes.com/shakespeare-quotes/we-such-stuff-dreams-made

The Tempest Act 4, scene 1, William Shakespeare

Prospero:
Our revels now are ended. These our actors,
As I foretold you, were all spirits, and
Are melted into air, into thin air:
And like the baseless fabric of this vision,
The cloud-capp'd tow'rs, the gorgeous palaces,
The solemn temples, the great globe itself,
Yea, all which it inherit, shall dissolve,
And, like this insubstantial pageant faded,
Leave not a rack behind. We are such stuff
As dreams are made on; and our little life
Is rounded with a sleep.

 

William Shakespeare ( 26 April 1564 (baptised) – 23 April 1616)
was an English poet and playwright, widely regarded as the greatest writer in the English ...

 

 

W
=
5
-
2
WE
28
10
1
A
=
1
-
3
ARE
24
15
6
S
=
1
-
4
SUCH
51
15
6
S
=
1
-
5
STUFF
72
18
9
A
=
1
-
2
AS
20
2
2
D
=
4
-
6
DREAMS
60
24
6
A
=
1
-
3
ARE
24
15
6
M
=
4
-
4
MADE
23
14
5
O
=
6
-
2
ON
15
6
6
A
=
1
-
3
AND
19
10
1
O
=
6
-
3
OUR
54
18
9
L
=
3
-
6
LITTLE
78
24
6
L
=
3
-
4
LIFE
32
23
5
I
=
9
-
2
IS
28
10
1
R
=
9
-
7
ROUNDED
81
36
9
W
=
5
-
4
WITH
60
24
6
A
=
1
-
1
A
1
1
1
S
=
1
-
5
SLEEP
57
21
3
-
-
62
Q
66
First Total
741
291
84
-
-
6+2
-
6+6
Add to Reduce
7+4+1
2+9+1
8+4
-
-
8
-
12
Second Total
12
12
12
-
-
-
-
1+2
Reduce to Deduce
1+2
1+2
1+2
-
-
8
-
3
Essence of Number
3
3
3

 

 

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.

 

 

7
BECAUSE
56
20
2
4
WE'RE
51
24
6
7
KEEPING
67
40
4
3
THE
33
15
6
5
DREAM
41
23
5
5
ALIVE
49
22
4
31
First Total
297
144
27
3+1
Add to Reduce
2+9+7
1+4+4
7+2
4
Second Total
18
9
9
-
Reduce to Deduce
2+9+7
-
-
4
Essence of Number
9
9
9

 

 

THE HOPES WE HAD WE'RE MUCH TWO 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 DAY WILL NEVER BE OVER BECAUSE WE 'RE KEEPING THE DREAM ALIVE

 

 

Daily Mirror

Friday, March 6, 2009

By Martin Fricker

Front Page

"IS THIS IT ? THIS IS IT!"

 

 

I
=
9
-
2
IN
23
14
5
L
=
3
-
5
LIGHT
56
29
2
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
THE
33
15
6
W
=
5
-
3
WOW
61
16
7
S
=
1
-
6
SIGNAL
62
26
8
A
=
1
-
3
AND
19
10
1
S
=
1
-
4
SETI
53
17
8
L
=
3
-
2
LO
27
9
9
A
=
1
-
3
AND
19
10
1
B
=
2
-
6
BEHOLD
46
28
1
S
=
1
-
4
SUCH
51
15
6
A
=
1
-
1
A
1
1
1
S
=
1
-
6
SIGNAL
62
26
8
A
=
1
-
2
AS
20
2
2
T
=
2
-
4
THAT
49
13
4
-
-
40
4
56
First Total
603
243
72
-
-
4+0
-
5+6
Add to Reduce
6+0+3
2+4+3
7+2
-
-
4
-
11
Second Total
9
9
9
-
-
-
-
1+1
Reduce to Deduce
-
-
-
-
-
4
-
2
Essence of Number
9
9
9

 

 

 

 

...,

 
 
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