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Evokation
  
 
Index
  

 

 

 

 

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 LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

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

 

 

-
-
-
-
-
-
-
-
-
-
-
-
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

 

 

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
-
36
Add
458
197
44
4+5
-
-
-
3+4
-
3+6
Reduce
4+5+8
1+9+7
4+4
9
-
-
-
7
4
9
Deduce
17
17
8
-
-
-
-
-
-
-
Produce
1+7
1+7
-
9
-
-
-
7
-
9
Essence
8
8
8

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
-
-
-
34
-
36
Add
458
197
44
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
3+4
-
3+6
Reduce
4+5+8
1+9+7
4+4
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
7
4
9
Deduce
17
17
8
-
1
4
3
8
5
18
14
8
9
-
-
-
-
-
-
-
Produce
1+7
1+7
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
7
-
9
Essence
8
8
8
-
1
4
3
8
5
9
5
8
9

 

 

0
-
4
ZERO
8
5
9
6
-
=
28
2+8
=
10
1+0
1
1
-
3
ONE
6
5
5
-
-
=
16
1+6
=
7
-
7
2
-
3
TWO
2
5
6
-
-
=
13
1+3
=
4
-
4
3
-
5
THREE
2
8
9
5
5
=
29
2+9
=
11
1+1
2
4
-
4
FOUR
6
6
3
9
-
=
24
2+4
=
6
-
6
5
-
4
FIVE
6
9
4
5
-
=
24
2+4
=
6
-
6
6
-
3
SIX
1
9
6
-
-
=
16
1+6
=
7
-
7
7
-
5
SEVEN
1
5
4
5
5
=
20
2+0
=
2
-
2
8
-
5
EIGHT
5
9
7
8
2
=
31
3+1
=
4
-
4
9
-
4
NINE
5
9
5
5
-
=
24
2+4
=
6
-
6
45
-
40
Add
42
70
58
43
12
-
225
-
-
63
-
45
4+5
-
4+0
-
4+2
7+0
5+8
4+3
1+2
-
2+2+5
-
-
6+3
-
4+5
9
-
4
Reduce
6
7
13
7
3
-
9
-
-
9
-
-
-
-
-
-
-
-
1+3
-
-
-
-
-
-
-
-
-
9
-
4
Deduce
6
7
4
7
3
-
9
-
-
9
-
9

 

 

ADVENT 948 ADVENT

 

 

FOURTEEN
FOURTEEN
THIRTY TWO
THIRTY TWO
THREE SIX
FORTY FIVE, FIFTY FOUR
FORTY FIVE
FORTY FIVE
FORTY SIX
FORTYSIX,
FIFTY FOUR, FORTY FIVE
FIFTY FOUR
FIFTY FOUR
FIFTY FOUR
SIXTY THREE
SIXTY THREE
EIGHTY ONE
EIGHTY ONE
ONE TWO SIX
ONE TWO SIX
FORTY FIVE, FIFTY FOUR, SIXTY THREE, EIGHTY ONE
EIGHTEEN THIRTY SIX
EIGHTEEN THIRTY SIX

 

 

-
FOURTEEN
-
-
-
1
F
6
6
6
2
OU
36
9
9
1
R
18
18
9
4
TEEN
44
17
8
8
FOURTEEN
104
50
32
-
-
1+0+4
5+0
3+2
8
FOURTEEN
5
5
5

 

 

14
1+4
5
-
8
FOURTEEN
104
41
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
FOURTEEN
-
-
-
F
=
6
-
4
FOUR
60
24
6
T
=
2
-
4
TEEN
44
17
8
-
-
8
-
8
FOURTEEN
104
41
14
-
-
-
-
-
-
1+0+4
4+1
1+4
-
-
8
-
8
FOURTEEN
5
5
5

 

 

-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
--
=
--
=
-
-
-
-
6
-
-
-
-
-
5
+
=
11
1+1
=
2
=
2
=
2
-
-
-
15
-
-
-
-
-
14
+
=
29
2+9
=
11
1+1
2
=
2
-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
--
-
-
-
-
-
-
6
-
3
9
2
5
5
-
+
=
30
3+0
=
3
-
3
=
3
-
-
6
-
21
18
20
5
5
-
+
=
75
7+5
=
12
1+2
3
=
3
-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
--
-
-
-
-
-
-
6
15
21
18
20
5
5
14
+
=
104
1+0+4
=
5
=
5
=
5
-
-
6
6
3
9
2
5
5
5
+
=
41
4+1
=
5
=
5
=
5
-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
5
5
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
-
9
20
8
F
O
U
R
T
E
E
N
-
-
25
-
-
8
-
41
-
23
2+0
-
-
-
-
-
-
5
5
5
-
-
2+5
-
--
-
-
4+1
-
2+3
2
8
F
O
U
R
T
E
E
N
-
-
7
-
-
8
-
5
-
5
-
-
6
6
3
9
2
5
5
5
-
-
-
-
-
--
--
-
-
-
2
8
F
O
U
R
T
E
E
N
-
-
7
-
-
8
-
5
-
5

 

 

-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
--
=
--
=
-
-
-
-
6
-
-
-
-
-
5
+
=
11
1+1
=
2
=
2
=
2
-
-
-
15
-
-
-
-
-
14
+
=
29
2+9
=
11
1+1
2
=
2
-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
--
-
-
-
-
-
-
6
-
3
9
2
5
5
-
+
=
30
3+0
=
3
-
3
=
3
-
-
6
-
21
18
20
5
5
-
+
=
75
7+5
=
12
1+2
3
=
3
-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
--
-
-
-
-
-
-
6
15
21
18
20
5
5
14
+
=
104
1+0+4
=
5
=
5
=
5
-
-
6
6
3
9
2
5
5
5
+
=
41
4+1
=
5
=
5
=
5
-
8
F
O
U
R
T
E
E
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
5
5
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
1
=
9
-
9
20
8
F
O
U
R
T
E
E
N
-
-
25
-
-
8
-
41
-
23
2+0
-
-
-
-
-
-
5
5
5
-
-
2+5
-
--
-
-
4+1
-
2+3
2
8
F
O
U
R
T
E
E
N
-
-
7
-
-
8
-
5
-
5
-
-
6
6
3
9
2
5
5
5
-
-
-
-
-
--
--
-
-
-
2
8
F
O
U
R
T
E
E
N
-
-
7
-
-
8
-
5
-
5

 

14 FOURTEEN 14

 

5
DREAM
41
23
5
8
FOURTEEN
104
41
5

 

32
3+2
=
5
-
THIRTY TWO
-
-
-
-
-
-
-
2
THIRTY
100
10
1
-
-
-
-
3
TWO
58
13
4
T
=
2
-
9
THIRTY TWO
158
23
5
-
-
-
-
-
-
1+5+8
2+3
-
-
-
2
-
9
THIRTY TWO
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
2
-
9
THIRTY TWO
14
5
5

 

 

32
3+2
=
5
-
THIRTY TWO
-
-
-
-
-
-
-
2
TH
28
10
1
-
-
-
-
1
I
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
2
TY
45
9
9
-
-
-
-
3
TWO
58
13
4
T
=
2
-
9
THIRTY TWO
158
50
14
-
-
-
-
-
-
1+5+8
5+0
1+4
-
-
2
-
9
THIRTY TWO
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
2
-
9
THIRTY TWO
14
5
5

 

 

-
9
T
H
I
R
T
Y
-
T
W
O
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
-
-
6
+
=
23
2+3
=
5
=
5
=
5
-
-
-
8
9
-
-
-
-
-
-
 15
+
=
32
3+2
=
5
=
5
=
5
-
9
T
H
I
R
T
Y
-
T
W
O
-
-
-
  
-
-
-
-
-
-
-
-
2
-
-
9
2
7
-
2
5
-
+
=
27
2+7
=
9
=
9
=
9
-
-
20
-
-
18
20
25
-
20
23
-
+
=
126
1+2+6
=
9
=
9
=
9
-
9
T
H
I
R
T
Y
-
T
W
O
-
-
-
  
-
-
-
-
-
-
-
-
20
8
9
18
20
25
-
20
23
15
+
=
158
1+5+8
=
14
1+4
5
=
5
-
-
2
8
9
9
2
7
-
2
5
6
+
=
50
5+0
=
5
=
5
=
5
-
9
T
H
I
R
T
Y
-
T
W
O
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
2
-
-
-
2
-
-
2
-
-
-
-
2
occurs
x
3
=
6
=
6
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
-
6
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
9
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
8
9
T
H
I
R
T
Y
-
T
W
O
-
-
37
-
-
9
-
50
-
41
-
-
-
-
9
9
-
-
-
-
-
-
-
-
3+7
-
-
-
-
5+0
-
4+1
8
9
T
H
I
R
T
Y
-
T
W
O
-
-
10
-
-
9
-
5
-
5
-
-
2
8
9
9
2
7
-
2
5
6
-
-
1+0
-
-
-
-
-
-
-
8
9
T
H
I
R
T
Y
-
T
W
O
-
-
1
-
-
9
-
5
-
5

 

 

9
T
H
I
R
T
Y
-
T
W
O
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
-
-
6
+
=
23
2+3
=
5
=
5
=
5
-
-
8
9
-
-
-
-
-
-
 15
+
=
32
3+2
=
5
=
5
=
5
9
T
H
I
R
T
Y
-
T
W
O
-
-
-
  
-
-
-
-
-
-
-
2
-
-
9
2
7
-
2
5
-
+
=
27
2+7
=
9
=
9
=
9
-
20
-
-
18
20
25
-
20
23
-
+
=
126
1+2+6
=
9
=
9
=
9
9
T
H
I
R
T
Y
-
T
W
O
-
-
-
  
-
-
-
-
-
-
-
20
8
9
18
20
25
-
20
23
15
+
=
158
1+5+8
=
14
1+4
5
=
5
-
2
8
9
9
2
7
-
2
5
6
+
=
50
5+0
=
5
=
5
=
5
9
T
H
I
R
T
Y
-
T
W
O
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
2
-
-
2
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
6
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
9
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
9
T
H
I
R
T
Y
-
T
W
O
-
-
37
-
-
9
-
50
-
41
-
-
-
9
9
-
-
-
-
-
-
-
-
3+7
-
-
-
-
5+0
-
4+1
9
T
H
I
R
T
Y
-
T
W
O
-
-
10
-
-
9
-
5
-
5
-
2
8
9
9
2
7
-
2
5
6
-
-
1+0
-
-
-
-
-
-
-
9
T
H
I
R
T
Y
-
T
W
O
-
-
1
-
-
9
-
5
-
5

 

 

32
3+2
=
5
-
THIRTY TWO
-
-
-
-
-
-
-
2
TH
28
10
1
-
-
-
-
1
I
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
2
TY
45
9
9
-
-
-
-
3
TWO
58
13
4
T
=
2
-
9
THIRTY TWO
158
50
14
-
-
-
-
-
-
1+5+8
5+0
1+4
-
-
2
-
9
THIRTY TWO
14
5
5
-
-
-
-
-
-
1+4
-
-
-
-
2
-
9
THIRTY TWO
14
5
5

 

 

36 = 3+6 = 9 9 = 6 +3 = 63

 

-
-
-
THREE SIX
-
-
-
3
-
5
THREE
56
29
2
6
-
3
SIX
52
25
7
9
-
8
THREE SIX
108
54
9
-
-
-
-
1+0+8
5+4
-
9
-
8
THREE SIX
9
9
9

 

 

9
FORTYFIVE
126
54
9
9
FIFTYFOUR
126
54
9
18
-
252
108
18
1+8
-
2+5+2
1+0+8
1+8
9
-
9
9
9

 

45 = 4+5 = 9 9 = 5 + 4 = 54

 

9
FORTYFIVE
126
54
9
9
FIFTYFOUR
126
54
9
18
-
252
108
18
1+8
-
2+5+2
1+0+8
1+8
9
-
9
9
9

 

54 5+4 = 9 9 = 4 + 5 = 45

 

9
FIFTY FOUR
126
54
45
9

 

45 = 4+5 = 9 9 = 5 + 4 = 54

 

9
FORTY FIVE
126
54
45
9

 

 

-
FORTY FIVE
-
-
-
2
F+O
21
12
3
1
R
18
9
9
2
T+Y
45
9
9
1
F
6
6
6
1
I
9
9
9
2
V+E
27
9
9
9
FORTY FIVE
126
54
45
-
-
1+2+6
5+4
4+5
9
FORTY FIVE
9
9
9

 

 

9
FORTYFIVE
126
54
45
9

 

 

--
9
F
O
R
T
Y
--
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
-
6
-
-
-
-
-
9
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
-
15
-
-
-
-
-
9
-
-
+
=
24
2+4
=
6
=
6
=
6
--
9
F
O
R
T
Y
--
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
6
-
9
2
7
-
6
-
4
5
+
=
39
3+9
=
12
1+2
3
=
3
-
-
6
-
18
20
25
-
6
-
22
5
+
=
102
1+0+2
=
3
=
3
=
3
--
9
F
O
R
T
Y
--
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
6
15
18
20
25
-
6
9
22
5
+
=
126
1+2+6
=
9
=
9
=
9
-
-
6
6
9
2
7
-
6
9
4
5
+
=
54
5+4
=
9
=
9
=
9
-
9
F
O
R
T
Y
-
F
I
V
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
2
-
--
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
--
-
-
-
--
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
6
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
7
--
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
--
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
12
9
F
O
R
T
Y
-
F
I
V
E
-
-
33
-
-
9
-
54
-
36
1+2
-
6
6
-
-
-
-
6
-
-
-
-
-
3+3
-
-
-
-
5+4
-
3+6
3
9
F
O
R
T
Y
-
F
I
V
E
-
-
6
-
-
9
-
9
-
9
-
-
6
6
9
2
7
--
6
9
4
5
-
-
-
-
-
-
-
-
-
-
3
9
F
O
R
T
Y
-
F
I
V
E
-
-
6
-
-
9
-
9
-
9

 

 

9
F
O
R
T
Y
--
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
-
-
9
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
15
-
-
-
-
-
9
-
-
+
=
24
2+4
=
6
=
6
=
6
9
F
O
R
T
Y
--
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
6
-
9
2
7
-
6
-
4
5
+
=
39
3+9
=
12
1+2
3
=
3
-
6
-
18
20
25
-
6
-
22
5
+
=
102
1+0+2
=
3
=
3
=
3
9
F
O
R
T
Y
--
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
6
15
18
20
25
-
6
9
22
5
+
=
126
1+2+6
=
9
=
9
=
9
-
6
6
9
2
7
-
6
9
4
5
+
=
54
5+4
=
9
=
9
=
9
9
F
O
R
T
Y
-
F
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
--
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
-
-
--
-
-
-
--
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
6
6
-
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
7
--
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
9
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
9
F
O
R
T
Y
-
F
I
V
E
-
-
33
-
-
9
-
54
-
36
-
6
6
-
-
-
-
6
-
-
-
-
-
3+3
-
-
-
-
5+4
-
3+6
9
F
O
R
T
Y
-
F
I
V
E
-
-
6
-
-
9
-
9
-
9
-
6
6
9
2
7
--
6
9
4
5
-
-
-
-
-
-
-
-
-
-
9
F
O
R
T
Y
-
F
I
V
E
-
-
6
-
-
9
-
9
-
9

 

 

8
FORTY SIX
136
46
1

 

46 = 4+6 =10 = 1+0 = 1 1 = 1+0 = 10 = 6+0 = 64

 

-
FORTY SIX
-
-
-
2
F+O
21
12
3
1
R
18
9
9
2
T+Y
45
9
9
1
S
19
1
1
1
I
9
9
9
1
X
24
6
6
8
FORTY SIX
136
46
37
-
-
1+3+6
4+6
3+7
8
FORTY SIX
10
10
10
-
-
1+0
1+0
1+0
8
FORTY SIX
1
1
1

 

 

-
FORTY SIX
-
-
-
2
FORTY
84
30
3
1
SIX
52
16
7
8
FORTY SIX
136
46
10
-
-
1+3+6
4+6
1+0
8
FORTYSIX
10
10
1
-
-
1+0
1+0
1+0
8
FORTYSIX
1
1
1

 

 

8
FORTYSIX
136
46
1

 

 

--
8
F
O
R
T
Y
--
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
6
-
-
-
-
1
9
6
+
=
22
2+2
=
4
=
4
=
4
-
-
-
15
-
-
-
-
19
9
24
+
=
67
6+7
=
13
1+3
4
=
4
--
8
F
O
R
T
Y
--
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
6
-
9
2
7
-
-
-
-
+
=
24
2+4
=
6
1+2
6
=
6
-
-
6
-
18
20
25
-
-
-
-
+
=
69
6+9
=
15
1+5
6
=
6
--
8
F
O
R
T
Y
--
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
6
15
18
20
25
-
19
9
24
+
=
136
1+3+6
=
10
1+0
1
=
1
-
-
6
6
9
2
7
-
1
9
6
+
=
46
4+6
=
10
1+0
1
=
1
-
8
F
O
R
T
Y
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
2
-
--
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
5
-
-
--
-
-
-
--
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
7
--
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
20
8
F
O
R
T
Y
-
S
I
X
-
-
25
-
-
9
-
46
-
36
2+0
-
6
6
-
-
-
-
-
9
-
-
-
2+5
-
-
-
-
4+6
-
3+6
2
8
F
O
R
T
Y
-
S
I
X
-
-
7
-
-
9
-
10
-
9
-
-
6
6
9
2
7
--
1
9
6
-
-
-
-
-
-
-
-
-
-
2
8
F
O
R
T
Y
-
S
I
X
-
-
7
-
-
9
-
9
-
9

 

 

8
F
O
R
T
Y
--
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
-
1
9
6
+
=
22
2+2
=
4
=
4
=
4
-
-
15
-
-
-
-
19
9
24
+
=
67
6+7
=
13
1+3
4
=
4
8
F
O
R
T
Y
--
S
I
X
-
-
-
-
-
--
-
-
-
-
-
6
-
9
2
7
-
-
-
-
+
=
24
2+4
=
6
1+2
6
=
6
-
6
-
18
20
25
-
-
-
-
+
=
69
6+9
=
15
1+5
6
=
6
8
F
O
R
T
Y
--
S
I
X
-
-
-
-
-
--
-
-
-
-
-
6
15
18
20
25
-
19
9
24
+
=
136
1+3+6
=
10
1+0
1
=
1
-
6
6
9
2
7
-
1
9
6
+
=
46
4+6
=
10
1+0
1
=
1
8
F
O
R
T
Y
-
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
2
-
--
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
6
6
-
-
-
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
7
--
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
9
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
8
F
O
R
T
Y
-
S
I
X
-
-
25
-
-
9
-
46
-
36
-
6
6
-
-
-
-
-
9
-
-
-
2+5
-
-
-
-
4+6
-
3+6
8
F
O
R
T
Y
-
S
I
X
-
-
7
-
-
9
-
10
-
9
-
6
6
9
2
7
--
1
9
6
-
-
-
-
-
-
-
-
-
-
8
F
O
R
T
Y
-
S
I
X
-
-
7
-
-
9
-
9
-
9

 

 

45 = 4+5 = 9 9 = 5 + 4 = 54

 

9
FORTYFIVE
126
54
9
9
FIFTYFOUR
126
54
9
18
-
252
108
18
1+8
-
2+5+2
1+0+8
1+8
9
-
9
9
9

 

54 5+4 = 9 9 = 4 + 5 = 45

 

9
FIFTY FOUR
126
54
45
9

 

 

-
FIFTY FOUR
-
-
-
1
F
6
6
6
1
I
9
9
9
1
F
6
6
6
2
T+Y
45
9
9
1
F
6
6
6
2
OUR
54
18
9
9
FIFTY FOUR
126
54
45
-
-
1+2+6
5+4
4+5
9
FIFTY FOUR
9
9
9

 

 

9
FIFTY FOUR
-
-
-
1
F
6
6
6
1
I
9
9
9
1
F
6
6
6
2
TY
45
9
9
1
F
6
6
6
2
OU
36
9
9
1
R
18
9
9
9
FIFTY FOUR
126
54
45
-
-
1+2+6
5+4
4+5
9
FIFTY FOUR
9
9
9

 

 

9
FIFTYFOUR
126
54
45
9

 

 

--
9
F
I
F
T
Y
--
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
-
-
-
-
6
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
-
9
-
-
-
-
-
15
-
-
+
=
24
2+4
=
6
=
6
=
6
--
9
F
I
F
T
Y
--
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
6
-
6
2
7
-
6
-
3
9
+
=
39
3+9
=
12
1+2
3
=
3
-
-
6
-
6
20
25
-
6
-
21
18
+
=
102
1+0+2
=
3
=
3
=
3
--
9
F
I
F
T
Y
--
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
6
9
6
20
25
-
6
15
21
18
+
=
126
1+2+6
=
9
=
9
=
9
-
-
6
9
6
2
7
-
6
6
3
9
+
=
54
5+4
=
9
=
9
=
9
-
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
2
-
--
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
--
-
--
-
-
-
-
5
-
-
-
-
-
-
-
-
-
6
-
6
-
-
-
6
6
-
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
-
-
-
-
7
--
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
--
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
18
9
F
I
F
T
Y
-
F
O
U
R
-
-
27
-
-
9
-
54
-
27
1+8
-
6
-
6
-
-
-
6
6
-
-
-
-
2+7
-
-
-
-
5+4
-
2+7
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9
-
-
6
9
6
2
7
--
6
6
3
9
-
-
-
-
-
-
-
-
-
-
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9

 

 

9
F
I
F
T
Y
--
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
-
-
-
6
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
9
-
-
-
-
-
15
-
-
+
=
24
2+4
=
6
=
6
=
6
9
F
I
F
T
Y
--
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
6
-
6
2
7
-
6
-
3
9
+
=
39
3+9
=
12
1+2
3
=
3
-
6
-
6
20
25
-
6
-
21
18
+
=
102
1+0+2
=
3
=
3
=
3
9
F
I
F
T
Y
--
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
6
9
6
20
25
-
6
15
21
18
+
=
126
1+2+6
=
9
=
9
=
9
-
6
9
6
2
7
-
6
6
3
9
+
=
54
5+4
=
9
=
9
=
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
--
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
6
-
6
-
-
-
6
6
-
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
-
-
-
7
--
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
9
-
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
27
-
-
9
-
54
-
27
-
6
-
6
-
-
-
6
6
-
-
-
-
2+7
-
-
-
-
5+4
-
2+7
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9
-
6
9
6
2
7
--
6
6
3
9
-
-
-
-
-
-
-
-
-
-
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9

 

5+4 = 9 9 = 4 + 5

 

9
FIFTYFOUR
126
54
9
9
FORTYFIVE
126
54
9
18
-
252
108
18
1+8
-
2+5+2
1+0+8
1+8
9
-
9
9
9

 

3 + 6 = 9 9 = 6 + 3

 

-
-
-
THREE SIX
-
-
-
3
-
5
THREE
56
29
2
6
-
3
SIX
52
25
7
9
-
8
THREE SIX
108
54
9
-
-
-
-
1+0+8
5+4
-
9
-
8
THREE SIX
9
9
9

 

63 = 6 + 3 = 9 9 = 3 + 6 = 36

 

-
SIXTY THREE
-
-
-
5
SIXTY
97
34
7
5
THREE
56
29
2
10
SIXTY THREE
153
63
9
1+0
-
1+5+3
6+3
-
1
SIXTY THREE
9
9
9

 

 

-
SIXTY THREE
-
-
-
4
S+I+X+T
72
27
9
2
Y+T
45
9
9
1
H
8
8
8
1
R
18
9
9
2
E+E
10
1
1
10
SIXTY THREE
153
54
36
1+0
-
1+5+3
5+4
3+6
1
SIXTY THREE
9
9
9

 

 

10
SIXTYTHREE
153
54
36
9

 

 

-
10
S
I
X
T
Y
-
T
H
R
E
E
-
--
-
-
-
-
-
-
-
-
-
-
1
9
6
-
-
-
-
8
-
-
-
+
=
24
2+4
=
6
=
6
=
6
-
-
19
9
24
-
-
-
-
8
-
-
-
+
=
60
6+0
=
6
=
6
=
6
-
10
S
I
X
T
Y
-
T
H
R
E
E
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
2
7
-
2
-
9
5
5
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
-
20
25
-
20
-
18
5
5
+
=
93
9+3
=
12
1+2
3
=
3
-
-
S
I
X
T
Y
-
T
H
R
E
E
-
--
-
-
-
-
-
-
-
-
-
-
19
9
24
20
25
-
20
8
18
5
5
+
=
153
1+5+3
=
8
=
8
=
8
-
-
1
9
6
2
7
-
2
8
9
5
5
+
=
54
5+4
=
9
=
9
=
9
-
10
S
I
X
T
Y
-
T
H
R
E
E
-
-
-
-
--
-
-
-
-
-
--
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
2
-
-
2
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
--
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
--
--
-
-
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
10
S
I
X
T
Y
-
T
H
R
E
E
-
-
38
-
-
10
-
54
-
36
-
1+0
-
9
-
-
-
-
-
-
9
-
-
-
-
3+8
-
-
1+0
-
5+4
-
3+6
7
1
S
I
X
T
Y
-
T
H
R
E
E
-
-
11
-
-
1
-
9
-
9
-
-
1
9
6
2
7
-
2
8
9
5
5
-
-
1+1
-
-
-
-
-
-
-
7
1
S
I
X
T
Y
-
T
H
R
E
E
-
-
2
-
-
1
-
9
-
9

 

 

0
S
I
X
T
Y
-
T
H
R
E
E
-
--
-
-
-
-
-
-
-
-
-
1
9
6
-
-
-
-
8
-
-
-
+
=
24
2+4
=
6
=
6
=
6
-
19
9
24
-
-
-
-
8
-
-
-
+
=
60
6+0
=
6
=
6
=
6
10
S
I
X
T
Y
-
T
H
R
E
E
-
--
-
-
-
-
-
-
-
-
-
-
-
-
2
7
-
2
-
9
5
5
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
20
25
-
20
-
18
5
5
+
=
93
9+3
=
12
1+2
3
=
3
-
S
I
X
T
Y
-
T
H
R
E
E
-
--
-
-
-
-
-
-
-
-
-
19
9
24
20
25
-
20
8
18
5
5
+
=
153
1+5+3
=
8
=
8
=
8
-
1
9
6
2
7
-
2
8
9
5
5
+
=
54
5+4
=
9
=
9
=
9
10
S
I
X
T
Y
-
T
H
R
E
E
-
-
-
-
--
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
2
-
-
2
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
9
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
10
S
I
X
T
Y
-
T
H
R
E
E
-
-
38
-
-
10
-
54
-
36
1+0
-
9
-
-
-
-
-
-
9
-
-
-
-
3+8
-
-
1+0
-
5+4
-
3+6
1
S
I
X
T
Y
-
T
H
R
E
E
-
-
11
-
-
1
-
9
-
9
-
1
9
6
2
7
-
2
8
9
5
5
-
-
1+1
-
-
-
-
-
-
-
1
S
I
X
T
Y
-
T
H
R
E
E
-
-
2
-
-
1
-
9
-
9

 

 

9
EIGHTY ONE
108
54
9

 

81 = 8+1 = 9 9 = 1+8 = 18

 

-
EIGHTYONE
-
-
-
1
E
5
5
5
1
I
9
9
9
2
G+H
15
15
6
2
T+Y
45
9
9
3
ONE
34
16
7
9
EIGHTY ONE
108
54
36
-
-
1+0+8
5+4
3+6
9
EIGHTY ONE
9
9
9

 

 

-
EIGHTY ONE
-
-
-
7
EIGHTYO
89
44
8
2
N+E
19
10
1
9
EIGHTY ONE
108
54
9
-
-
1+0+8
5+4
-
9
EIGHTY ONE
9
9
9

 

 

8
+
6
EIGHTY
74
38
2
1
+
3
ONE
34
16
7
9
-
9
Add to Reduce
108
54
9
-
-
-
Reduce to Deduce
1+0+8
5+4
-
9
+
9
Essence of Number
9
9
9

 

 

9
EIGHTYONE
108
54
9

 

 

-
9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
+
6
5
-
+
=
28
2+8
=
10
1+0
1
=
1
-
-
-
9
-
8
-
-
-
15
14
-
+
=
46
4+6
=
10
1+0
1
=
1
-
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
-
5
-
7
-
2
7
+
-
-
5
+
=
26
2+6
=
8
=
8
=
8
-
-
5
-
7
-
20
25
+
-
-
5
+
=
62
6+2
=
8
=
8
=
8
-
9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
--
-
-
-
-
-
-
5
9
7
8
20
25
+
15
14
5
+
=
108
1+0+8
=
9
=
9
=
9
-
-
5
9
7
8
2
7
+
6
5
5
+
=
54
5+4
=
9
=
9
=
9
-
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
+
-
-
-
+
=
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
+
-
5
5
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
+
6
-
-
+
=
6
occurs
x
1
=
6
=
6
-
-
-
-
7
-
-
7
+
-
-
-
+
=
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
8
-
-
+
-
-
-
+
=
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
8
9
E
I
G
H
T
Y
+
O
N
E
+
+
37
-
-
9
-
54
-
36
-
-
5
-
-
-
-
-
+
-
5
5
-
-
3+7
-
-
-
-
5+4
-
3+6
8
-
E
I
G
H
T
Y
-
O
N
E
-
-
10
-
-
9
-
9
-
9
-
-
-
9
7
8
2
7
+
6
5
5
+
+
1+0
-
-
-
-
-
-
8
9
E
I
G
H
T
Y
+
O
N
E
+
+
2
-
-
9
-
9
-
9

 

 

9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
+
6
5
-
+
=
28
2+8
=
10
1+0
1
=
1
-
-
9
-
8
-
-
-
15
14
-
+
=
46
4+6
=
10
1+0
1
=
1
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
--
-
-
-
-
-
5
-
7
-
2
7
+
-
-
5
+
=
26
2+6
=
8
=
8
=
8
-
5
-
7
-
20
25
+
-
-
5
+
=
62
6+2
=
8
=
8
=
8
9
E
I
G
H
T
Y
+
O
N
E
-
-
-
-
--
-
-
-
-
-
5
9
7
8
20
25
+
15
14
5
+
=
108
1+0+8
=
9
=
9
=
9
-
5
9
7
8
2
7
+
6
5
5
+
=
54
5+4
=
9
=
9
=
9
9
E
I
G
H
T
Y
-
O
N
E
-
-
-
-
-
-
-
-
-
-
+
-
-
-
-
2
-
+
-
-
-
+
=
2
occurs
x
1
=
2
=
2
+
5
-
-
-
-
-
+
-
5
5
+
=
5
occurs
x
3
=
15
1+5
6
+
-
-
-
-
-
-
+
6
-
-
+
=
6
occurs
x
1
=
6
=
6
+
-
-
7
-
-
7
+
-
-
-
+
=
7
occurs
x
2
=
14
1+4
5
+
-
-
-
8
-
-
+
-
-
-
+
=
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
9
E
I
G
H
T
Y
+
O
N
E
+
+
37
-
-
9
-
54
-
36
-
5
-
-
-
-
-
+
-
5
5
-
-
3+7
-
-
-
-
5+4
-
3+6
-
E
I
G
H
T
Y
-
O
N
E
-
-
10
-
-
9
-
9
-
9
-
-
9
7
8
2
7
+
6
5
5
+
+
1+0
-
-
-
-
-
-
9
E
I
G
H
T
Y
+
O
N
E
+
+
2
-
-
9
-
9
-
9

 

 

-
-
-
-
-
-
-
ONE TWO SIX
-
-
-
1
-
O
=
6
-
3
ONE
34
16
7
2
-
T
=
2
-
3
TWO
58
13
4
6
-
S
=
1
-
3
SIX
52
16
7
9
-
-
-
9
-
9
ONE TWO SIX
144
45
18
-
-
-
-
-
-
-
-
1+4+4
4+5
1+8
9
-
-
-
9
-
9
ONE TWO SIX
9
9
9

 

 

-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
6
5
-
-
-
-
6
-
1
9
6
+
=
33
3+3
=
6
-
6
-
6
-
-
15
14
-
-
-
-
15
-
19
9
24
+
=
96
9+6
=
15
1+5
6
-
6
-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
-
5
-
2
5
-
-
-
-
-
+
=
12
1+2
=
3
-
3
-
3
-
-
-
-
5
-
20
23
-
-
-
-
-
+
=
48
4+8
=
12
1+2
3
-
4
-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
15
14
5
-
20
23
15
-
19
9
24
+
=
144
1+4+4
=
9
-
9
-
9
-
-
6
5
5
-
2
5
6
-
1
9
6
+
=
45
4+5
=
9
-
9
-
9
-
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
-
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
5
5
-
-
5
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
6
-
-
-
-
-
6
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
-
9
22
9
O
N
E
-
T
W
O
-
S
I
X
-
-
23
-
-
9
-
73
-
28
2+2
-
6
-
-
-
-
-
6
-
-
-
6
-
-
2+3
-
-
-
-
7+3
-
2+8
4
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
10
-
10
-
-
6
5
5
-
2
5
6
-
1
9
6
-
-
-
-
-
-
-
1+0
-
1+0
4
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
1
-
1

 

 
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
6
5
-
-
-
-
6
-
1
9
6
+
=
33
3+3
=
6
-
6
-
6
-
15
14
-
-
-
-
15
-
19
9
24
+
=
96
9+6
=
15
1+5
6
-
6
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
2
5
-
-
-
-
-
+
=
12
1+2
=
3
-
3
-
3
-
-
-
5
-
20
23
-
-
-
-
-
+
=
48
4+8
=
12
1+2
3
-
4
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
15
14
5
-
20
23
15
-
19
9
24
+
=
144
1+4+4
=
9
-
9
-
9
-
6
5
5
-
2
5
6
-
1
9
6
+
=
45
4+5
=
9
-
9
-
9
9
O
N
E
-
T
W
O
-
S
I
X
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
-
2
-
-
5
5
-
-
5
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
6
-
-
-
-
-
6
-
-
-
6
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
occurs
x
1
=
9
-
9
9
O
N
E
-
T
W
O
-
S
I
X
-
-
23
-
-
9
-
73
-
28
-
6
-
-
-
-
-
6
-
-
-
6
-
-
2+3
-
-
-
-
7+3
-
2+8
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
10
-
10
-
6
5
5
-
2
5
6
-
1
9
6
-
-
-
-
-
-
-
1+0
-
1+0
9
O
N
E
-
T
W
O
-
S
I
X
-
-
5
-
-
9
-
1
-
1

 

 

F
=
6
-
45
-
9
FORTYFIVE
126
54
9
F
=
6
-
54
-
9
FIFTYFOUR
126
54
9
S
=
1
-
63
-
10
SIXTYTHREE
153
54
9
E
=
5
-
81
-
9
EIGHTYONE
108
54
9
-
-
18
-
243
-
37
Add to Reduce
513
216
36
-
-
1+8
-
2+4+3
-
3+7
Reduce to Deduce
5+1+3
2+1+6
3+6
-
-
9
-
9
-
10
Essence of Number
9
9
9

 

 

T
=
2
-
5
THREE
56
29
2
-
3
F
=
6
-
4
FOUR
60
24
6
-
4
F
=
6
-
4
FIVE
42
24
6
-
5
-
-
14
-
13
First Total
158
77
14
-
12
-
-
1+4
-
1+3
Add to Reduce
1+5+8
7+7
1+4
-
1+2
-
-
5
-
4
Second Total
14
14
5
-
12
-
-
-
-
-
Reduce to Deduce
1+4
1+4
--
-
1+2
-
-
5
-
4
Essence of Number
5
5
5
-
3

 

 

3
-
5
THREE
56
29
2
4
-
4
FOUR
60
24
6
5
-
4
FIVE
42
24
6
12
-
13
First Total
158
77
14
1+2
-
1+3
Add to Reduce
1+5+8
7+7
1+4
3
-
13
Second Total
14
14
5
-
-
-
Reduce to Deduce
1+4
1+4
--
3
-
4
Essence of Number
5
5
5

 

 

-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
-
6
-
-
-
-
9
-
-
+
=
23
2+3
=
5
=
5
=
5
-
-
-
8
-
-
-
-
-
15
-
-
-
-
9
-
-
+
=
32
3+2
=
5
=
5
=
5
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
+
=
54
5+4
=
9
=
9
=
9
-
-`
20
-
18
5
5
-
6
-
21
18
-
6
-
22
5
+
=
126
1+2+6
=
9
=
9
=
9
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
20
8
18
5
5
-
6
6
21
18
-
6
9
22
5
+
=
158
8+6
=
5
=
5
=
5
-
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
+
=
77
4+1
=
14
1+4
5
=
5
-
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
-
-
-
-
-
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
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
8
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
37
-
-
13
-
77
-
41
-
1+3
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
3+7
-
-
1+3
-
7+7
-
4+1
8
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
10
-
-
4
-
14
-
5
-
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
-
1+0
-
-
-
-
1+4
-
-
8
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
1
-
-
4
-
5
-
5

 

THREE FOUR FIVE FIVE FOUR THREE

 

13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
8
-
-
-
-
-
6
-
-
-
-
9
-
-
+
=
23
2+3
=
5
=
5
=
5
-
-
8
-
-
-
-
-
15
-
-
-
-
9
-
-
+
=
32
3+2
=
5
=
5
=
5
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
2
-
9
5
5
-
6
-
3
9
-
6
-
4
5
+
=
54
5+4
=
9
=
9
=
9
-`
20
-
18
5
5
-
6
-
21
18
-
6
-
22
5
+
=
126
1+2+6
=
9
=
9
=
9
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
--
-
-
-
-
-
20
8
18
5
5
-
6
6
21
18
-
6
9
22
5
+
=
158
8+6
=
5
=
5
=
5
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
+
=
77
4+1
=
14
1+4
5
=
5
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
-
-
-
-
-
-
-
-
-
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
-
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
13
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
37
-
-
13
-
77
-
41
1+3
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
3+7
-
-
1+3
-
7+7
-
4+1
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
10
-
-
4
-
14
-
5
-
2
8
9
5
5
-
6
6
3
9
-
6
9
4
5
-
-
1+0
-
-
-
-
1+4
-
-
4
T
H
R
E
E
-
F
O
U
R
-
F
I
V
E
-
-
1
-
-
4
-
5
-
5

 

 

18
-
8
EIGHTEEN
73
46
1
36
-
9
THIRTY SIX
152
62
8
54
-
17
Add to Reduce
225
108
9
5+4
1+7
Reduce to Deduce
2+2+5
1+0+8
-
9
-
8
Essence of Number
9
9
9

 

 

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'

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

A

proton

is

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

would have the same connotations to any 'intelligence'

 

E
=
5
-
8
EIGHTEEN
73
46
1
T
=
2
-
9
THIRTYSIX
152
53
8
-
-
7
4
17
First Total
225
99
9
-
-
-
-
1+7
Add to Reduce
2+2+5
9+9
-
Q
-
7
-
8
Second Total
9
18
9
-
-
-
-
-
Reduce to Deduce
-
1+8
-
Q
-
7
-
8
Essence of Number
9
9
9

 

 

-
17
E
I
G
H
T
E
E
N
T
+
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
5
+
-
8
9
-
-
-
1
9
6
+
=
55
5+5
=
10
1+0
1
=
1
-
-
-
9
-
8
-
-
-
14
-
-
8
9
-
-
-
19
9
24
+
=
100
1+0+0
=
1
2+0
1
=
1
-
17
E
I
G
H
T
E
E
N
-
T
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
5
-
7
-
2
5
5
-
+
2
-
-
9
2
7
-
-
-
+
=
44
4+4
=
8
=
8
=
8
-
-
5
-
7
-
20
5
5
-
+
20
-
-
18
20
25
-
-
-
+
=
125
1+2+5
=
8
=
8
=
8
-
17
E
I
G
H
T
E
E
N
+
T
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
5
9
7
8
20
5
5
14
+
20
8
9
18
20
25
19
9
24
+
=
225
2+2+5
=
9
=
9
=
9
-
-
5
9
7
8
2
5
5
5
+
2
8
9
9
2
7
1
9
6
+
=
99
9+9
=
18
=
9
=
9
-
17
E
I
G
H
T
E
E
N
-
T
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
-
-
-
-
-
-
1
-
-
+
=
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
-
+
2
-
-
-
2
-
-
-
-
+
=
2
occurs
x
3
=
6
=
6
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
5
5
+
-
-
-
-
-
-
-
-
-
+
=
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
-
-
-
+
-
-
-
-
-
-
-
-
6
+
=
6
occurs
x
1
=
6
-
6
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
9
-
-
-
-
-
-
+
-
-
9
9
-
-
-
9
-
+
=
9
occurs
x
4
=
36
3+6
9
7
17
E
I
G
H
T
E
E
N
+
T
H
I
R
T
Y
S
I
X
+
=
38
-
-
17
-
99
-
36
-
1+7
-
9
-
-
-
-
-
-
-
-
-
9
9
-
-
-
9
-
-
-
3+8
-
-
1+7
-
9+9
-
3+6
7
8
E
I
G
H
T
E
E
N
-
T
H
I
R
T
Y
S
I
X
-
-
11
-
-
8
-
18
-
9
-
-
5
9
7
8
2
5
5
5
+
2
8
9
9
2
7
1
9
6
+
=
1+1
-
-
-
-
1+8
-
-
7
8
E
I
G
H
T
E
E
N
+
T
H
I
R
T
Y
S
I
X
+
=
2
-
-
8
-
9
-
9

 

 

17
E
I
G
H
T
E
E
N
T
+
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
5
+
-
8
9
-
-
-
1
9
6
+
=
55
5+5
=
10
1+0
1
=
1
-
-
9
-
8
-
-
-
14
-
-
8
9
-
-
-
19
9
24
+
=
100
1+0+0
=
1
2+0
1
=
1
17
E
I
G
H
T
E
E
N
-
T
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
-
5
-
7
-
2
5
5
-
+
2
-
-
9
2
7
-
-
-
+
=
44
4+4
=
8
=
8
=
8
-
5
-
7
-
20
5
5
-
+
20
-
-
18
20
25
-
-
-
+
=
125
1+2+5
=
8
=
8
=
8
17
E
I
G
H
T
E
E
N
+
T
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
-
5
9
7
8
20
5
5
14
+
20
8
9
18
20
25
19
9
24
+
=
225
2+2+5
=
9
=
9
=
9
-
5
9
7
8
2
5
5
5
+
2
8
9
9
2
7
1
9
6
+
=
99
9+9
=
18
=
9
=
9
17
E
I
G
H
T
E
E
N
-
T
H
I
R
T
Y
S
I
X
-
-
-
-
-
-
-
-
-
-
+
-
-
-
-
-
-
-
-
+
-
-
-
-
-
-
1
-
-
+
=
1
occurs
x
1
=
1
=
1
+
-
-
-
-
2
-
-
-
+
2
-
-
-
2
-
-
-
-
+
=
2
occurs
x
3
=
6
=
6
+
5
-
-
-
-
5
5
5
+
-
-
-
-
-
-
-
-
-
+
=
5
occurs
x
4
=
20
2+0
2
+
-
-
-
-
-
-
-
-
+
-
-
-
-
-
-
-
-
6
+
=
6
occurs
x
1
=
6
-
6
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
8
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
+
-
9
-
-
-
-
-
-
+
-
-
9
9
-
-
-
9
-
+
=
9
occurs
x
4
=
36
3+6
9
17
E
I
G
H
T
E
E
N
+
T
H
I
R
T
Y
S
I
X
+
=
38
-
-
17
-
99
-
36
1+7
-
9
-
-
-
-
-
-
-
-
-
9
9
-
-
-
9
-
-
-
3+8
-
-
1+7
-
9+9
-
3+6
8
E
I
G
H
T
E
E
N
-
T
H
I
R
T
Y
S
I
X
-
-
11
-
-
8
-
18
-
9
-
5
9
7
8
2
5
5
5
+
2
8
9
9
2
7
1
9
6
+
=
1+1
-
-
-
-
1+8
-
-
8
E
I
G
H
T
E
E
N
+
T
H
I
R
T
Y
S
I
X
+
=
2
-
-
8
-
9
-
9

 

 

 

FIRST CONTACT 1980

 

 

-
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
6+2
3
Second Total
10
10
10
-
Reduce to Deduce
1+0
1+0
1+0
3
Essence of Number
1
1
1

 

 

Daily Mail

Thursday, February 26,2009

Page 37

The eye of God!

IT STARES down at us from the depths of space, watching our tiny world from 700 light years away. Scientists have nicknamed the image - captured by a giant telescope on the Chilean mountains - the eye of God.
In fact, it shows the death throes of a star similar to our Sun. The blue pupil, the white of the eye and pink lid are created by layers of gas and dust thrown off and illuminated by the star as it comes to the end of its life over the course of thousands of years.
The eye, known as the Helix nebula, is so huge that it would take a beam of light two-and-a-half years to cross it.
Our own sun is expected to suffer a similar fate - but not for five billion years.

 

 

Daily Mail

Tuesday, April 14, 2009

Page 11

Hand of God

Eye in the sky: The Helix nebula

By Dan Newlin;

(Image omitted)

WE'VE already seen pictures of his eye ... now we have the first image of the hand of God.
The ghostly blue cloud seems to form an outstretched thumb and fingers grasping a burning lump of coal. This astonishing image was taken by Nasa's Chandra X-ray observatory, which is orbiting 360 miles above the Earth's surface.
It recalls those of the Helix planetary nebula, whose blue centre surrounded by white clouds earned it the nickname 'the eye of God'.
The hand was created when a star exploded in a supernova, creating a rapidly-spinning 12-mile-wide star called a pulsar, which is deep inside the white blob at the hand's wrist.
The pulsar is spewing out enormous amounts of electromagnetic energy, creating a dust and gas cloud so wide that it would take a light beam 150 years to cross from side to side.
The red disc is a separate cloud of gas. The fingers are thought to have been created as the energy passed from the pulsar to this gas cloud.
Nasa scientists estimate the moment depicted here actually happened 17,000 years ago. it has taken since then for the X-rays, travelling at 670million mph, to reach Earth.

 

 

I

ME

YEA

THOUGH I WALK THROUGH

THE

VALLEY OF THE SHADOW OF DEATH

I

WILL FEAR NO EVIL FOR THOU ART WITH

ME

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
5
ADDED
18
18
9
-
-
-
-
-
-
-
-
-
9
T
=
2
-
2
TO
35
8
8
-
-
-
-
-
-
-
-
8
-
A
=
1
-
3
ALL
25
7
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
5
MINUS
76
22
4
-
-
-
-
4
-
-
-
-
-
N
=
5
-
4
NONE
48
21
3
-
-
-
3
-
-
-
-
-
-
S
=
1
-
6
SHARED
55
28
1
-
1
-
-
-
-
-
-
-
-
B
=
2
-
2
BY
27
9
9
-
-
-
-
-
-
-
-
-
9
E
=
5
-
10
EVERYTHING
133
61
7
-
-
-
-
-
-
-
7
-
-
M
=
4
-
10
MULTIPLIED
121
49
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
A
=
1
-
9
ABUNDANCE
65
29
2
-
-
2
-
-
-
-
-
-
-
-
-
35
-
58
First Total
626
266
59
-
1
2
3
8
5
6
14
8
18
-
-
3+5
-
5+8
Add to Reduce
6+2+6
2+6+6
5+9
-
-
-
-
-
-
-
1+4
-
1+8
-
-
8
-
13
Second Total
14
14
14
-
1
2
3
8
5
6
5
8
9
-
-
-
-
1+3
Reduce to Deduce
1+4
1+4
1+4
-
-
-
-
-
-
-
-
-
-
-
-
8
-
4
Essence of Number
5
5
5
-
1
2
3
8
5
6
5
8
9

 

 

THE

HOURS OF HORUS

HAVE

ARRIVED

HURRAH FOR RAH FOR RAH HURRAH

RA IN BOW LIGHT GODS LIGHT RA IN BOW

AMEN THAT NAME GODS NAME THAT AMEN

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 
 
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