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Evokation
  
 
Index
  

 

 

 

15
THE RAINBOW LIGHT
     
-
THE
33
15
6
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
-
L
12
3
3
-
I
9
9
9
-
G+H+T
35
17
8
15
THE RAINBOW LIGHT
171
81
54
1+5
-
1+7+1
8+1
5+4
6
THE RAINBOW LIGHT
9
9
9

 

 

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

 

 

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

 

 

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

 

 

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

 

 

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

 

 

8
MAGNETIC
72
36
9
4
POLE
48
21
3

 

 

5
NORTH
75
30
3
5
SOUTH
83
20
2

 

 

8
MAGNETIC
72
36
9
5
POLES
67
22
4

 

 

7
CRYSTAL
98
26
8
8
CRYSTALS
117
27
9

 

 

6
SPHERE
71
35
8
5
ROUND
72
27
9

 

 

5
ROUND
72
27
9
7
SPHERES
90
36
9

 

 

-
16
P
O
S
I
T
I
V
E
-
N
E
G
A
T
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
-
6
1
9
-
9
-
-
-
5
-
-
-
-
9
-
-
+
=
39
3+9
=
12
1+2
3
=
3
-
-
-
15
19
9
-
9
-
-
-
14
-
-
-
-
9
-
-
+
=
75
7+5
=
12
1+2
3
=
3
-
16
P
O
S
I
T
I
V
E
-
N
E
G
A
T
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
7
-
-
-
2
-
4
5
-
-
5
7
1
2
-
4
5
+
=
42
4+2
=
6
=
6
=
6
-
-
16
-
-
-
20
-
22
5
-
-
5
7
1
20
-
22
5
+
=
123
1+2+3
=
6
=
6
=
6
-
16
P
O
S
I
T
I
V
E
-
N
E
G
A
T
I
V
E
-
-
-
-
-
--
-
-
-
-
-
-
16
15
19
9
20
9
22
5
-
14
5
7
1
20
9
22
5
+
=
198
1+9+8
=
18
1+8
9
=
9
-
-
7
6
1
9
2
9
4
5
-
5
5
7
1
2
9
4
5
+
=
81
8+1
=
9
=
9
=
9
-
16
P
O
S
I
T
I
V
E
-
N
E
G
A
T
I
V
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
3
--
--
--
--
--
--
--
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
-
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
--
--
--
--
--
--
--
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
11
16
P
O
S
I
T
I
V
E
-
N
E
G
A
T
I
V
E
-
-
34
-
-
16
-
81
-
36
1+1
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
3+4
-
-
1+6
-
8+1
-
3+6
2
16
P
O
S
I
T
I
V
E
-
N
E
G
A
T
I
V
E
-
-
7
-
-
7
-
9
-
9

 

9 LIGHTDARKKRADTHGIL 9

 

-
17
M
I
R
R
O
R
E
D
-
O
P
P
O
S
I
T
E
S
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
-
6
-
-
-
-
6
-
-
6
1
9
-
-
1
+
=
29
2+9
=
11
1+1
2
=
2
-
-
-
9
-
-
15
-
-
-
-
15
-
-
15
19
9
-
-
19
+
=
92
9+2
=
11
1+1
2
=
2
-
17
M
I
R
R
O
R
E
D
-
O
P
P
O
S
I
T
E
S
-
-
-
-
-
--
-
-
-
-
-
-
4
-
9
9
-
9
5
4
-
-
7
7
-
-
-
2
5
-
+
=
61
6+1
=
7
=
7
=
7
-
-
13
-
18
18
-
18
5
4
-
-
16
16
-
-
-
20
5
-
+
=
133
1+3+3
=
7
=
7
=
7
-
17
M
I
R
R
O
R
E
D
-
O
P
P
O
S
I
T
E
S
-
-
-
-
-
--
-
-
-
-
-
-
13
9
18
18
15
18
5
4
-
15
16
16
15
19
9
20
5
19
+
=
234
2+3+4
=
9
=
9
=
9
-
-
4
9
9
9
6
9
5
4
-
6
7
7
6
1
9
2
5
1
+
=
99
9+9
=
18
1+8
9
=
9
-
17
M
I
R
R
O
R
E
D
-
O
P
P
O
S
I
T
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
3
--
--
--
--
--
--
--
-
-
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
6
-
-
-
-
6
-
-
6
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
-
-
-
-
-
7
7
-
-
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
8
--
--
--
--
--
--
--
-
-
-
9
9
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
5
=
45
4+5
9
11
17
M
I
R
R
O
R
E
D
-
O
P
P
O
S
I
T
E
S
-
-
34
-
-
17
-
99
-
36
-
-
-
9
9
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+4
-
-
1+7
-
9+9
-
3+6
11
17
M
I
R
R
O
R
E
D
-
O
P
P
O
S
I
T
E
S
-
-
7
-
-
8
-
18
-
9
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+8
-
-
2
17
M
I
R
R
O
R
E
D
-
O
P
P
O
S
I
T
E
S
-
-
7
-
-
8
-
9
-
9

 

 

4
MAAT
35
8
8
2
IS
28
19
1
6
KARMAS
63
18
9
3
LAW
36
9
9
4
REAL
36
18
9
7
REALITY
90
36
9
26
First Total
288
108
45
2+6
Add to Reduce
2+8+8
1+0+8
4+5
8
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
8
Essence of Number
9
9
9

 

 

-
9
H
I
R
O
S
H
I
M
A
-
-
-
-
-
--
-
-
-
-
-
-
8
9
-
6
1
8
9
-
-
+
=
41
4+1
=
5
=
5
=
5
-
-
8
9
-
15
19
8
9
-
-
+
=
68
6+8
=
14
1+4
5
=
5
-
9
H
I
R
O
S
H
I
M
A
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
-
-
-
-
4
1
+
=
14
1+4
=
5
=
5
=
5
-
-
-
-
18
-
-
-
-
13
1
+
=
32
3+2
=
5
=
5
=
5
-
9
H
I
R
O
S
H
I
M
A
-
-
-
-
-
--
-
-
-
-
-
-
8
9
18
15
19
8
9
13
1
+
=
100
1+0+0
=
1
=
1
=
1
-
-
8
9
9
6
1
8
9
4
1
+
=
55
5+5
=
10
1+0
1
=
1
-
9
H
I
R
O
S
H
I
M
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
2
-
--
--
--
--
--
--
--
--
--
--
--
2
--
--
--
--
--
--
--
3
-
--
--
--
--
--
--
--
--
--
--
--
3
--
--
--
--
--
--
--
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
1
=
4
=
4
5
-
--
--
--
--
--
--
--
--
--
--
--
5
--
--
--
--
--
--
--
-
-
-
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
--
--
--
--
--
--
--
--
--
--
--
7
--
--
--
--
--
--
--
-
-
8
-
-
-
-
8
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
9
9
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
17
9
H
I
R
O
S
H
I
M
A
-
-
28
-
-
9
-
55
-
28
-
-
-
9
9
-
-
-
9
-
-
-
-
2+8
-
-
-
-
5+5
-
2+8
17
9
H
I
R
O
S
H
I
M
A
-
-
10
-
-
9
-
10
-
10
1+7
-
-
-
-
-
-
-
-
-
-
-
-
1+0
-
-
-
-
 1+0
-
1+0
8
9
H
I
R
O
S
H
I
M
A
-
-
1
-
-
9
-
1
-
1

 

 

-
8
N
A
G
A
S
A
K
I
-
-
-
-
-
--
-
-
-
-
5
-
-
-
1
-
-
9
+
=
15
1+5
=
6
=
6
-
-
14
-
-
-
19
-
-
9
+
=
42
4+2
=
6
=
6
-
8
N
A
G
A
S
A
K
I
-
-
-
-
-
--
-
-
-
-
-
1
7
1
-
1
2
-
+
=
12
1+2
=
3
=
3
-
-
-
1
7
1
-
1
11
-
+
=
21
2+1
=
3
=
3
-
8
N
A
G
A
S
A
K
I
-
-
-
-
-
--
-
-
-
-
14
1
7
1
19
1
11
9
+
=
63
6+3
=
9
=
9
-
-
5
1
7
1
1
1
2
9
+
=
27
3+6
=
9
=
9
-
8
N
A
G
A
S
A
K
I
-
-
-
-
-
-
-
-
-
-
-
1
-
1
1
1
-
-
-
-
1
occurs
x
4
=
4
-
-
-
-
-
-
-
-
2
-
-
-
2
occurs
x
1
=
2
3
-
--
--
--
--
--
--
--
--
--
--
3
--
--
--
--
--
4
-
--
--
--
--
--
--
--
--
--
--
4
--
--
--
--
--
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
6
-
--
--
--
--
--
--
--
--
--
--
6
--
--
--
--
--
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
8
-
--
--
--
--
--
--
--
--
--
--
8
--
--
--
--
--
-
-
-
-
-
-
-
-
-
9
-
-
9
occurs
x
1
=
9
21
8
N
A
G
A
S
A
K
I
-
-
24
-
-
8
-
27
2+1
-
-
-
-
-
-
-
-
9
-
-
2+4
-
-
-
-
2+7
3
8
N
A
G
A
S
A
K
I
-
-
6
-
-
8
-
9

 

 

11
BIKINI ATOLL
-
-
-
-
BIKINI
54
36
9
-
ATOLL
60
15
6
11
BIKINI ATOLL
114
51
15
1+1
-
1+1+4
5+1
1+5
2
BIKINI ATOLL
6
6
6

 

5
JAPAN
42
15
6

 

 

 

 

3
THE
33
15
6
4
ATOM
49
13
4
4
BOMB
32
14
5
11
Add to Reduce
114
42
15
1+1
Reduce to Deduce
1+1+4
4+2
1+5
2
Essence of Number
6
6
6

 

 

3
THE
33
15
6
6
ATOMIC
61
25
7
4
BOMB
32
14
5
13
Add to Reduce
126
54
18
1+3
Reduce to Deduce
1+2+6
5+4
1+8
4
Essence of Number
9
9
9

 

 

3
THE
33
15
6
8
HYDROGEN
96
51
6
4
BOMB
32
14
5
15
Add to Reduce
161
80
17
1+5
Reduce to Deduce
1+6+1
8+0
1+7
6
Essence of Number
8
8
8

 

 

8
ATOM BOMB
81
27
9
8
NAGASAKI
63
36
9
9
HIROSHIMA
100
55
1

 

 

8
ATOM BOMB
     
-
A+T
21
3
3
-
O+M
28
10
1
-
B
2
2
2
-
O+M
28
10
1
-
B
2
2
2
8
ATOM BOMB
81
27
9
-
-
8+1
2+7
-
8
ATOM BOMB
9
9
9

 

 

-
12
T
H
E
-
H
U
M
A
N
-
R
A
C
E
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
8
-
-
-
5
-
-
-
-
-
+
=
21
2+1
=
3
=
3
=
3
-
-
-
8
-
-
8
-
-
-
14
-
-
-
-
-
+
=
30
3+0
=
3
=
3
=
3
-
12
T
H
E
-
H
U
M
A
N
-
R
A
C
E
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
-
-
3
4
1
-
-
9
1
3
5
+
=
33
3+3
=
6
=
6
=
6
-
-
20
-
5
-
-
21
13
1
-
-
18
1
3
5
+
=
87
8+7
=
15
1+5
6
=
6
-
12
T
H
E
-
H
U
M
A
N
-
R
A
C
E
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
8
21
13
1
14
-
18
1
3
5
+
=
117
1+1+7
=
9
=
9
=
9
-
-
2
8
5
-
8
3
4
1
5
-
9
1
3
5
+
=
54
5+4
=
9
=
9
=
9
-
12
T
H
E
-
H
U
M
A
N
-
R
A
C
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
-
-
-
5
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
6
--
--
--
--
--
--
--
7
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
7
--
--
--
--
--
--
--
-
-
-
8
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
13
12
T
H
E
-
H
U
M
A
N
-
R
A
C
E
-
-
32
-
-
12
-
54
-
36
1+3
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+2
-
-
1+2
-
5+4
-
3+6
4
12
T
H
E
-
H
U
M
A
N
-
R
A
C
E
-
-
5
-
-
3
-
9
-
9

 

 

9
SUFFERING
105
51
6
5
DEATH
38
20
2
11
DESTRUCTION
148
49
4
11
DESTRUCTIVE
146
47
2
5
POWER
77
32
5

 

 

-
13
T
H
E
-
A
T
O
M
I
C
-
B
O
M
B
-
-
-
-
-
--
-
-
-
-
-
-
-
8
-
-
-
-
6
-
9
-
-
-
6
-
-
+
=
29
2+9
=
11
1+1
2
=
2
-
-
-
8
-
-
-
-
15
-
9
-
-
-
15
-
-
+
=
47
4+7
=
11
1+1
2
=
2
-
13
T
H
E
-
A
T
O
M
I
C
-
B
O
M
B
-
-
-
-
-
--
-
-
-
-
-
-
2
-
5
-
1
2
-
4
-
3
-
2
-
4
2
+
=
25
2+5
=
7
=
7
=
7
-
-
20
-
5
-
1
20
-
13
-
3
-
2
-
13
2
+
=
79
7+9
=
16
1+6
7
=
7
-
13
T
H
E
-
A
T
O
M
I
C
-
B
O
M
B
-
-
-
-
-
--
-
-
-
-
-
-
20
8
5
-
1
20
15
13
9
3
-
2
15
13
2
+
=
126
1+2+6
=
9
=
9
=
9
-
-
2
8
5
-
1
2
6
4
9
3
-
2
6
4
2
+
=
54
5+4
=
9
=
9
=
9
-
13
T
H
E
-
A
T
O
M
I
C
-
B
O
M
B
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
2
-
-
-
-
-
2
-
-
2
-
-
2
occurs
x
4
=
8
=
8
-
-
-
-
-
-
-
--
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
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
7
13
T
H
E
-
A
T
O
M
I
C
-
B
O
M
B
-
-
38
-
-
13
-
54
-
45
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
11
-
-
1+3
-
5+4
-
4+5
7
13
T
H
E
-
A
T
O
M
I
C
-
B
O
M
B
-
-
2
-
-
4
-
9
-
9

 

 

7
SURVIVE
116
35
8
8
SURVIVES
135
36
9
8
SURVIVAL
124
34
7
8
SURVIVED
120
39
3
8
SURVIVING
141
51
6

 

 

7
EXTINCT
95
32
5
10
EXTINGUISH
136
55
1
12
EXTINGUISHED
145
64
1
12
EXTINGUISHES
160
61
7
10
EXTINCTION
133
52
7

 

 

10
OBLITERATE
107
44
8
11
OBLITERATES
126
45
9
11
OBLITERATED
116
53
8

 

 

14
ALBERT EINSTEIN
153
63
9
25
GENERAL THEORY OF RELATIVITY
315
135
9

 

 

3
THE
33
15
6
4
LAWS
55
10
1
2
OF
21
12
3
15
ELECTRODYNAMICS
166
67
4
24
First Total
275
104
14
2+4
Add to Reduce
2+7+5
1+0+4
1+4
6
Second Total
14
5
5
-
Reduce to Deduce
1+4
-
-
6
Essence of Number
5
5
5

 

 

T
=
2
14
THERMODYNAMICS
167
68
5
E
=
5
15
ELECTRODYNAMICS
166
67
4
-
-
7
29
Add to Reduce
333
135
9
-
-
-
11
Reduce to Deduce
3+3+3
1+3+5
-
-
-
7
2
Essence of Number
9
9
9

 

 

6
DYNAMO
72
54
9
7
DYNAMIC
69
33
6
8
DYNAMICS
88
34
7

 

 

-
13
A
N
T
I
-
C
L
O
C
K
W
I
S
E
-
-
-
-
-
--
-
-
-
-
-
-
-
5
-
9
-
-
-
6
-
-
-
9
1
-
+
=
30
3+0
=
3
=
3
=
3
-
-
-
14
-
9
-
-
-
15
-
-
-
9
19
-
+
=
66
6+6
=
12
1+2
3
=
3
-
13
A
N
T
I
-
C
L
O
C
K
W
I
S
E
-
-
-
-
-
--
-
-
-
-
-
-
1
-
2
-
-
3
3
-
3
2
5
-
-
5
+
=
24
2+4
=
6
=
6
=
6
-
-
1
-
20
-
-
3
12
-
3
11
23
-
-
5
+
=
78
7+8
=
15
1+5
6
=
6
-
13
A
N
T
I
-
C
L
O
C
K
W
I
S
E
-
-
-
-
-
--
-
-
-
-
-
-
1
14
20
9
-
3
12
15
3
11
23
9
19
5
+
=
144
1+4+4
=
9
=
9
=
9
-
-
1
5
2
9
-
3
3
6
3
2
5
9
1
5
+
=
54
5+4
=
9
=
9
=
9
-
13
A
N
T
I
-
C
L
O
C
K
W
I
S
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
2
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
3
3
-
3
-
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
4
-
-
--
--
--
--
--
--
--
--
--
--
--
--
--
--
--
4
--
--
--
--
--
--
--
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
--
7
--
--
--
--
--
--
--
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
--
8
--
--
--
--
--
--
--
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
19
13
A
N
T
I
-
C
L
O
C
K
W
I
S
E
-
-
26
-
-
13
-
54
-
36
1+9
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
2+6
-
-
1+3
-
5+4
-
3+6
10
13
A
N
T
I
-
C
L
O
C
K
W
I
S
E
-
-
8
-
-
4
-
9
-
9

 

 

13
ANTI CLOCKWISE
-
-
-
-
CLOCKWISE
100
37
1
-
ANTI
44
17
8
13
ANTI CLOCKWISE
144
54
9
1+3
-
1+4+4
5+4
-
4
ANTI CLOCKWISE
9
9
9

 

 

-
13
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
5
-
-
9
-
-
-
9
-
-
-
+
=
23
2+3
=
5
=
5
=
5
-
-
-
-
-
14
-
-
9
-
-
-
9
-
-
-
+
=
32
3+2
=
5
=
5
=
5
-
13
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
--
-
-
-
-
-
-
4
1
7
-
5
2
-
3
-
6
-
5
3
4
+
=
40
4+0
=
4
=
4
=
4
-
-
13
1
7
-
5
20
-
3
-
6
-
5
12
4
+
=
76
7+6
=
13
1+3
4
=
4
-
13
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
--
-
-
-
-
-
-
13
1
7
14
5
20
9
3
-
6
9
5
12
4
+
=
108
1+0+8
=
9
=
9
=
9
-
-
4
1
7
5
5
2
9
3
-
6
9
5
3
4
+
=
63
6+3
=
9
=
9
=
9
-
13
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
8
13
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
37
-
-
13
-
63
-
45
-
-
-
-
-
-
-
-
9
-
-
-
9
--
-
-
-
-
10
-
-
1+3
-
6+3
-
4+5
8
13
M
A
G
N
E
T
I
C
-
F
I
E
L
D
-
-
1
-
-
4
-
9
-
9

 

 

6
GLOBAL
49
22
4
7
WARNING
86
41
5
13
Add to Reduce
135
63
9
1+3
Reduce to Deduce
1+3+5
6+3
-
4
Essence of Number
9
9
9

 

 

6
GLOBAL
49
22
4
7
WARMING
85
40
4
13
Add to Reduce
134
62
8
1+3
Reduce to Deduce
1+3+4
6+2
-
4
Essence of Number
8
8
8

 

 

 

 

6
LIVING
73
37
1
3
THE
33
15
6
4
MYTH
66
21
3
13
First Total
172
73
10
1+3
Add to Reduce
1+7+2
7+3
1+0
4
Second Total
10
10
1
-
Reduce to Deduce
1+0
1+0
-
4
Essence of Number
1
1
1

 

 

3
THE
33
15
6
5
POINT
74
29
2
2
OF
21
12
3
2
NO
29
11
2
6
RETURN
96
33
6
18
First Total
253
100
19
1+8
Add to Reduce
2+5+3
1+0+0
1+9
9
Second Total
10
1
10
-
Reduce to Deduce
1+0
-
1+0
9
Essence of Number
1
1
1

 

 

3
THE
33
15
6
6
ATOMIC
61
25
7
4
BOMB
32
14
5
13
Add to Reduce
126
54
18
1+3
Reduce to Deduce
1+2+6
5+4
1+8
4
Essence of Number
9
9
9

 

 

3
THE
33
15
6
8
HYDROGEN
96
51
6
4
BOMB
32
14
5
15
Add to Reduce
161
80
17
1+5
Reduce to Deduce
1+6+1
8+0
1+7
6
Essence of Number
8
8
8

 

 

 

 

T
=
2
-
3
THE
33
15
6
A
=
1
-
6
ATOMIC
61
25
7
B
=
2
-
4
BOMB
32
14
5
-
-
12
-
13
Add to Reduce
126
54
18
-
-
1+2
-
1+3
Reduce to Deduce
1+2+6
5+4
1+8
-
-
3
-
4
Essence of Number
9
9
9

 


atomic bombings of Hiroshima and Nagasaki, during World War II, American bombing raids on the Japanese cities of Hiroshima (August 6, 1945) and Nagasaki (August 9, 1945) that marked the first use of atomic weapons in war.
Atomic bombings of Hiroshima and Nagasaki | Date, Significance ...
www.britannica.com/event/atomic-bombings-of-Hiroshima-and-Nagasaki
www.britannica.com/event/atomic-bombings-of-Hiroshima-and-Nagasaki
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https://en.wikipedia.org › wiki › Atomic_bombings_of_Hir…
Atomic bombings of Hiroshima and Nagasaki - Wikipedia
In the final year of World War II, the Allies prepared for a costly invasion of the Japanese mainland. This undertaking was preceded by a conventional bombing and firebombing campaign that devastated 64 Japanese cities, including an operation on Tokyo. See more
Overview
On 6 and 9 August 1945, the United States detonated two atomic bombs over the Japanese cities of Hiroshima and Nagasaki, respectively, during World War II. The aerial bombings killed between 150,000 and 246,000 people, … See more
Preparations
Organization and training
The 509th Composite Group was constituted on 9 December 1944, and activated on 17 … See more
Events of 7–9 August
After the Hiroshima bombing, Truman issued a statement announcing the use of the new weapon. He stated, "We may be grateful to Providence" that the German atomic bomb project had failed, and that the United States and its allies had "spent two billion dollars on … See more
Plans for more atomic attacks on Japan
There were plans for further attacks on Japan following Hiroshima and Nagasaki. Groves expected to have another (plutonium-239-based) "Fat Man" atomic bomb ready for use on 19 August, with three more in September and a further three in October. A … See more
Overview image
Background image
Background
Pacific War
In 1945, the Pacific War between the Empire of Japan and the Allies entered its fourth year. Most Japanese military units fought fiercely, … See more
Hiroshima
Hiroshima during World War II
At the time of its bombing, Hiroshima was a city of industrial and military significance. A … See more
Nagasaki
Nagasaki during World War II
The city of Nagasaki had been one of the largest seaports in southern Japan, and was of great wartime importance because of its wide-ranging industrial activity, including the production of ordnance, ships, military … See more

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Atomic bombings of Hiroshima and Nagasaki | Date, Significance ...
OverviewEarly atomic researchThe American atomic program takes shapeFrom Stagg Field to Los AlamosThe Trinity testThe bombing of Hiroshima
The atomic bombings of Hiroshima and Nagasaki were American bombing raids on the Japanes…
When were the atomic bombs dropped on Hiroshima and Nagasaki?
The first atomic bomb, named Little Boy, was dropped on Hiroshima from the Enola Gay, a B-29 …
Who was involved in the atomic bombings of Hiroshima and Nagasaki?
See more on britannica.com
Author: The Editors of Encyclopaedia Britannica
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The Atomic Bombings of Japan - The National WWII Museum
By August 1945, the Japanese Empire was on the verge of defeat but still refused to surrender. However, a new weapon, unlike any other, would soon help lead to the end of World War II and …

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On the 6 August 1945, the world changed forever when America dropped the first nuclear weapon over Hiroshima in Japan. Three days later the city of Nagasaki suffered the same terrible fate …

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The blast wave travels at 984 miles per hour (1583.59 kph) in all directions, demolishing over two-thirds of Hiroshima’s buildings in a massive, expanding firestorm.

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Jun 7, 2021 · The United States bombings of the Japanese cities of Hiroshima and Nagasaki on August 6 and August 9, 1945, were the first instances of atomic bombs used against humans, killing tens of thousands of people, obliterating …

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