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Evokation
 
 
Index
 

 

 

 

 

 

HAVE I A SENSE OF HUMOUR I HAVE A SENSE OF HUMOUR

DIVINE LOVE LOVE DIVINE

DAVID DENISON

WELCOME TO MY WORLD

 

 

F
=
6
9
FRATERNAL
95
41
5
G
=
7
9
GREETINGS
104
50
5
-
-
13
18
First Total
199
91
10
-
1
1+3
1+8
Add to Reduce
1+9+9
9+1
1+0
Q
-
4
9
Second Total
19
10
1
-
-
-
-
Reduce to Deduce
1+9
1+0
-
Q
-
4
9
Third Total
10
1
1
-
-
-
-
Reduce to Deduce
1+0
-
-
-
-
4
9
Essence of Number
1
1
1

 

 

-
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
9
5
-
1
+
=
20
2+0
=
2
-
2
-
2
--
-
-
-
-
-
-
-
14
-
-
-
-
-
-
-
-
9
14
-
19
+
=
56
5+6
=
11
1+1
2
-
2
-
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
--
-
6
9
1
2
5
9
-
1
3
-
7
9
5
5
2
-
-
7
-
+
=
71
7+1
=
8
-
8
=
8
-
-
6
18
1
20
5
18
-
1
12
-
7
18
5
5
20
-
-
7
-
+
=
143
1+4+3
=
8
-
8
-
8
-
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
-
-
6
18
1
20
5
18
14
1
12
-
7
18
5
5
20
9
14
7
19
+
=
199
1+9+9
=
19
1+9
10
1+0
1
-
-
6
9
1
2
5
9
5
1
3
-
7
9
5
5
2
9
5
7
1
+
=
91
9+1
=
10
1+0
1
=
1
-
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
-
3
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
2
=
4
-
4
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
3
4
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
5
-
5
-
-
-
-
-
5
5
-
-
5
-
-
-
-
5
occurs
x
5
=
25
2+5
7
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
6
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
4
=
36
3+6
9
12
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
33
-
-
18
-
91
-
37
1+2
1+8
-
9
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
3+3
-
-
1+8
-
9+1
-
3+7
3
9
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
6
-
-
9
-
10
-
10
-
-
6
9
1
2
5
9
5
1
3
-
7
9
5
5
2
9
5
7
1
-
-
-
-
-
-
-
1+0
-
1+0
3
9
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
6
-
-
9
-
1
-
1

 

 

18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
9
5
-
1
+
=
20
2+0
=
2
-
2
-
2
-
-
-
-
-
-
-
14
-
-
-
-
-
-
-
-
9
14
-
19
+
=
56
5+6
=
11
1+1
2
-
2
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
-
6
9
1
2
5
9
-
1
3
-
7
9
5
5
2
-
-
7
-
+
=
71
7+1
=
8
-
8
=
8
-
6
18
1
20
5
18
-
1
12
-
7
18
5
5
20
-
-
7
-
+
=
143
1+4+3
=
8
-
8
-
8
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
-
6
18
1
20
5
18
14
1
12
-
7
18
5
5
20
9
14
7
19
+
=
199
1+9+9
=
19
1+9
10
1+0
1
-
6
9
1
2
5
9
5
1
3
-
7
9
5
5
2
9
5
7
1
+
=
91
9+1
=
10
1+0
1
=
1
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
-
3
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
2
=
4
-
4
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
3
-
-
-
-
-
5
-
5
-
-
-
-
-
5
5
-
-
5
-
-
-
-
5
occurs
x
5
=
25
2+5
7
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
6
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
9
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
4
=
36
3+6
9
18
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
33
-
-
18
-
91
-
37
1+8
-
9
-
-
-
9
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
3+3
-
-
1+8
-
9+1
-
3+7
9
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
6
-
-
9
-
10
-
10
-
6
9
1
2
5
9
5
1
3
-
7
9
5
5
2
9
5
7
1
-
-
-
-
-
-
-
1+0
-
1+0
9
F
R
A
T
E
R
N
A
L
-
G
R
E
E
T
I
N
G
S
-
-
6
-
-
9
-
1
-
1

 

 

5
WORLD
72
27
9

 

 

-
5
W
O
R
L
D
-
-
-
-
-
-
-
-
-
-
6
-
-
-
+
=
6
-
=
6
=
6
-
`-
-
15
-
-
-
+
=
15
1+5
=
6
=
6
-
5
W
O
R
L
D
-
-
-
-
-
-
-
-
-
5
-
9
3
4
+
=
21
2+1
=
3
=
3
-
`-
23
-
18
12
4
+
=
57
5+7
=
12
1+2
3
-
5
W
O
R
L
D
-
-
-
-
-
-
-
-
`-
23
15
18
12
4
+
=
72
7+2
=
9
=
9
-
-
5
6
9
3
4
+
=
27
2+7
=
9
=
9
-
5
W
O
R
L
D
T
-
-
-
-
-
-
-
1
-
-
3
-
3
3
-
-
1
ONE
-
-
-
-
2
-
-
-
-
-
-
-
-
2
TWO
-
-
-
-
-
-
-
-
-
3
-
3
occurs
x
1
=
3
-
-
-
-
-
-
4
4
occurs
x
1
=
4
---
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
---
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
3
-
3
3
-
-
7
SEVEN
-
-
-
-
8
-
-
-
-
-
-
-
-
8
EIGHT
-
-
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
18
5
W
O
R
L
D
-
-
27
-
-
5
-
27
1+8
-
-
-
9
-
-
-
-
2+7
-
-
-
-
2+7
9
5
W
O
R
L
D
-
-
9
-
-
5
-
9
-
-
5
6
9
3
4
-
-
-
-
-
-
-
-
9
5
W
O
R
L
D
-
-
9
-
-
5
-
9

 

 

5
W
O
R
L
D
-
-
-
-
-
-
-
-
-
6
-
-
-
+
=
6
-
=
6
=
6
`-
-
15
-
-
-
+
=
15
1+5
=
6
=
6
5
W
O
R
L
D
-
-
-
-
-
-
-
-
5
-
9
3
4
+
=
21
2+1
=
3
=
3
`-
23
-
18
12
4
+
=
57
5+7
=
12
1+2
3
5
W
O
R
L
D
-
-
-
-
-
-
-
`-
23
15
18
12
4
+
=
72
7+2
=
9
=
9
-
5
6
9
3
4
+
=
27
2+7
=
9
=
9
5
W
O
R
L
D
T
-
-
-
-
-
-
-
-
-
-
-
3
-
3
occurs
x
1
=
3
-
-
-
-
-
4
4
occurs
x
1
=
4
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
-
-
-
9
-
-
9
occurs
x
1
=
9
5
W
O
R
L
D
-
-
27
-
-
5
-
27
-
-
-
9
-
-
-
-
2+7
-
-
-
-
2+7
5
W
O
R
L
D
-
-
9
-
-
5
-
9
-
5
6
9
3
4
-
-
-
-
-
-
-
-
5
W
O
R
L
D
-
-
9
-
-
5
-
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 THEIR FALL

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

4
GODS
45
18
9
6
LOVING
79
34
7
5
PEACE
30
21
3
3
AND
19
10
1
4
GOOD
41
23
5
4
WILL
56
20
2
4
UNTO
70
16
7
3
ALL
25
7
7
8
SENTIENT
106
34
7
6
BEINGS
56
29
2
47
First Total
527
212
50
4+7
Add to Reduce
5+2+7
2+1+2
5+0
11
Second Total
14
5
5
1+1
Reduce to Deduce
1+4
-
-
7
Essence of Number
5
5
5

 

 

1
I
9
9
9
4
HAVE
36
18
9
4
COME
36
18
9
9
Add to Reduce
81
45
18
-
Reduce to Deduce
4+8+2
1+9+4
4+8
9
Essence of Number
9
9
9

 

 

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

 

 

3
3
-
A+B+C
6
6
6
2
 
2
D+E
9
9
9
3
3
 
F+G+H
21
21
3
1
 
1
I
9
9
9
3
3
 
J+K+L
33
6
6
2
 
2
M+N
27
9
9
2
2
 
O+P
31
13
4
3
-
3
QRS
54
18
9
3
-
3
TUV
63
9
9
3
-
3
WXY
72
18
9
1
1
 
Z
26
8
8
26
12
14
First Total
351
126
81
2+6
1+2
1+4
Add to Reduce
3+5+1
1+2+6
8+1
8
3
5
Reduce to Deduce
9
9
9

 

 

3
A+B+C
6
6
6
-
D+E
-
-
-
3
F+G+H
21
21
3
-
I
-
-
-
3
J+K+L
33
6
6
-
M+N
-
-
-
2
O+P
31
13
4
-
QRS
-
-
-
-
TUV
-
-
-
-
WXY
-
-
-
1
Z
26
8
8
12
First Total
117
54
27
2+6
Add to Reduce
1+1+7
5+4
2+7
8
Reduce to Deduce
9
9
9

 

 

-
A+B+C
-
-
-
2
D+E
9
9
9
-
F+G+H
-
-
-
1
I
9
9
9
-
J+K+L
-
-
-
2
M+N
27
9
9
-
O+P
-
-
-
3
QRS
54
18
9
3
TUV
63
9
9
3
WXY
72
18
9
-
Z
-
-
-
14
First Total
234
72
54
1+4
Add to Reduce
2+3+4
7+2
5+4
5
Reduce to Deduce
9
9
9

 

 

4

ZERO

64

28

1

3

ONE

34
16
7
3

TWO

58
13
4
5

THREE

56
29
2
4

FOUR

60
24
6
4

FIVE

42
24
6
3

SIX

52
16
7
5

SEVEN

65
20
2
5

EIGHT

49
31
4
4

NINE

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

 

 

 

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

 

 

4

ZERO

64

28

1

3

ONE

34
16
7
3

TWO

58
13
4
5

THREE

56
29
2
4

FOUR

60
24
6
4

FIVE

42
24
6
3

SIX

52
16
7
5

SEVEN

65
20
2
5

EIGHT

49
31
4
4

NINE

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

 

 

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
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
-
-
-
-
-
-
-
-
-
-
8
-
-
6
-
6
5
-
-
-
-
6
-
-
8
-
-
-
-
-
6
-
-
-
-
9
-
-
-
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
-
-
-
19
9
24
-
19
-
-
-
14
-
-
9
-
8
-
-
14
9
14
-
+
=
256
2+5+6
=
13
1+3
4
-
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
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
-
5
-
2
5
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
-
-
-
-
-
-
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
2
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
2
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
-
90
-
-
1+1+4
2+3+7
-
8+4
-
-
-
-
-
3+5+1
-
-
4+0
-
5+2+2
-
-
1+0+8
-
9+0
-
-
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

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

ZEROONETWOTHREEFOURFIVESIXSEVENEIGHTNINE

ZE-R-O-ONET-WOTH-R-EEF-OU-R-F I-VE-S I-XS-EV-ENE-I-GHTN-I-NE

 

2
ZE
31
13
4
-
-
1
R
18
9
9
-
9
1
O
15
6
6
-
-
4
ONET
54
18
9
-
9
4
WOTH
66
21
3
-
-
1
R
18
9
9
-
9
3
EEF
16
16
7
-
-
2
OU
36
9
9
-
9
1
R
18
9
9
-
9
1
F
6
6
6
-
-
1
I
9
9
9
-
9
2
VE
27
9
9
-
9
1
S
19
1
1
-
-
1
I
9
9
9
-
9
3
XS
43
7
7
-
-
2
EV
27
9
9
-
9
2
ENE
24
15
6
-
-
1
I
9
9
9
-
9
4
GHTN
49
22
4
-
-
1
I
9
9
9
-
9
2
NE
19
10
1
-
-
40
Add
522
225
135
-
99
4+0
Reduce
5+2+2
2+2+5
1+3+5
-
9+9
4
Deduce
9
9
9
-
9

 

 

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

ABCDEFGHIJKLMNOPQRSTUVWXYZ

 

 

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.

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

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

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

COMPREHENSIBLE

 

 

ASTROLOGY A STARRY LOGO

IS

 

 

OSIRIS SO IRIS IS

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Cycles and Patterns

Page 165

Patterns

The essence of mathematics is to look for patterns.
Our minds seem to be organised to search for relationships and sequences. We look for hidden orders.
These intuitions seem to be more important than the facts themselves, for there is always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imagine looking up at the stars and finding the zodiac!
Searching out patterns is a pure delight.
Suddenly the counters fall into place and a connection is found, not necessarily a geometric one, but a relationship between numbers, pictures of the mind, that were not obvious before. There is that excitement of finding order in something that was otherwise hidden.
And there is the knowledge that a huge unseen world lurks behind the facades we see of the numbers themselves.

 

 

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

 

 

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

 

 

-
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
6
5
-
-
-
-
6
-
-
8
-
-
-
-
-
6
-
-
+
=
31
3+1
=
4
=
4
=
4
-
-
15
14
-
-
-
-
15
-
-
8
-
-
-
-
-
15
-
-
+
=
67
6+7
=
13
1+3
4
=
4
-
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
-
2
5
-
-
2
-
9
5
5
-
6
-
3
9
+
=
51
5+1
=
6
=
6
=
6
-
-
-
-
5
-
20
23
-
-
20
-
18
5
5
-
6
-
21
18
+
=
141
1+4+1
=
6
=
6
=
6
-
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
15
14
5
-
20
23
15
-
20
8
18
5
5
-
6
15
21
18
+
=
208
2+0+8
=
10
1+0
1
=
1
-
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
+
=
82
8+2
=
10
1+0
1
=
1
-
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
5
occurs
x
5
=
25
2+5
7
-
-
6
-
-
-
-
-
6
-
-
-
-
-
-
-
6
6
-
-
-
-
6
occurs
x
4
=
24
2+4
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-``
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
12
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
33
-
-
15
-
82
-
37
1+2
1+5
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
3+3
-
-
1+5
-
8+2
-
3+7
3
6
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
6
-
-
6
-
10
-
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+0
-
1+0
3
6
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
6
-
-
6
-
1
-
1

 

 

15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
6
5
-
-
-
-
6
-
-
8
-
-
-
-
-
6
-
-
+
=
31
3+1
=
4
=
4
=
4
-
15
14
-
-
-
-
15
-
-
8
-
-
-
-
-
15
-
-
+
=
67
6+7
=
13
1+3
4
=
4
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
2
5
-
-
2
-
9
5
5
-
6
-
3
9
+
=
51
5+1
=
6
=
6
=
6
-
-
-
5
-
20
23
-
-
20
-
18
5
5
-
6
-
21
18
+
=
141
1+4+1
=
6
=
6
=
6
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
15
14
5
-
20
23
15
-
20
8
18
5
5
-
6
15
21
18
+
=
208
2+0+8
=
10
1+0
1
=
1
-
6
5
5
-
2
5
6
-
2
8
9
5
5
-
6
6
3
9
+
=
82
8+2
=
10
1+0
1
=
1
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
2
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
5
occurs
x
5
=
25
2+5
7
-
6
-
-
-
-
-
6
-
-
-
-
-
-
-
6
6
-
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
15
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
33
-
-
15
-
82
-
37
1+5
-
5
5
-
-
5
-
-
-
-
-
5
5
-
-
-
-
-
-
-
3+3
-
-
1+5
-
8+2
-
3+7
6
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
6
-
-
6
-
10
-
10
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
-
-
-
1+0
-
1+0
6
O
N
E
-
T
W
O
-
T
H
R
E
E
-
F
O
U
R
-
-
6
-
-
6
-
1
-
1

 

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

 

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

 

-
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
5
9
5
-
-
-
9
-
8
-
-
1
-
-
-
5
-
1
9
6
+
=
58
5+8
=
13
1+3
4
=
4
-
-
14
9
14
-
-
-
9
-
8
-
-
19
-
-
-
14
-
19
9
24
+
=
139
1+3+9
=
13
1+3
4
=
4
-
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
-
7
-
2
-
-
5
4
5
-
-
-
-
-
+
=
33
3+3
=
6
=
6
=
6
-
-
-
-
-
5
-
5
-
7
-
20
-
-
5
22
5
-
-
-
-
-
+
=
69
6+9
=
15
1+5
6
=
6
-
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
14
9
14
5
-
5
9
7
8
20
-
19
5
22
5
14
-
19
9
24
+
=
208
2+0+8
=
10
1+0
1
=
1
-
-
5
9
5
5
-
5
9
7
8
2
-
1
5
4
5
5
-
1
9
6
+
=
91
9+1
=
10
1+0
1
=
1
-
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
5
5
-
5
-
-
-
-
-
-
5
-
5
5
-
-
-
-
-
-
5
occurs
x
7
=
35
3+5
8
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
6
occurs
x
1
=
6
=
6
-
--
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
--
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
3
=
27
2+7
9
3
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
42
-
-
17
-
91
-
46
-
1+7
5
-
5
5
-
5
-
-
-
-
-
-
5
-
5
5
-
-
-
-
-
-
4+2
-
-
1+7
-
9+1
-
4+6
3
8
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
6
-
-
8
-
10
-
10
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
1+0
-
1+0
3
8
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
6
-
-
8
-
1
-
1

 

 

17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
5
9
5
-
-
-
9
-
8
-
-
1
-
-
-
5
-
1
9
6
+
=
58
5+8
=
13
1+3
4
=
4
-
14
9
14
-
-
-
9
-
8
-
-
19
-
-
-
14
-
19
9
24
+
=
139
1+3+9
=
13
1+3
4
=
4
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
-
7
-
2
-
-
5
4
5
-
-
-
-
-
+
=
33
3+3
=
6
=
6
=
6
-
-
-
-
5
-
5
-
7
-
20
-
-
5
22
5
-
-
-
-
-
+
=
69
6+9
=
15
1+5
6
=
6
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
14
9
14
5
-
5
9
7
8
20
-
19
5
22
5
14
-
19
9
24
+
=
208
2+0+8
=
10
1+0
1
=
1
-
5
9
5
5
-
5
9
7
8
2
-
1
5
4
5
5
-
1
9
6
+
=
91
9+1
=
10
1+0
1
=
1
17
N
I
N
E
-
E
I
G
H
T
-
S
E
V
E
N
-
S
I
X