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Evokation
  
 
Index
  

 

 

-
-
-
-
-
-
-
-
-
-
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
MULTIPLED
121
49
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
A
=
1
-
9
ABUNDANCE
65
29
2
-
-
2
-
-
-
-
-
-
-
-
-
35
-
57
First Total
626
266
59
-
1
2
3
8
5
6
14
8
18
-
-
3+5
-
5+7
Add to Reduce
6+2+6
2+6+6
5+9
-
-
-
-
-
-
-
1+4
-
1+8
-
-
8
-
12
Second Total
14
14
14
-
1
2
3
8
5
6
5
8
9
-
-
-
-
1+2
Reduce to Deduce
1+4
1+4
1+4
-
-
-
-
-
-
-
-
-
-
-
-
8
-
3
Essence of Number
5
5
5
-
1
2
3
8
5
6
5
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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

 

 

-
SIMONIDES
-
-
-
1
S
19
1
1
4
O+M+N+I
51
24
6
4
D+I+E+S
37
19
1
9
SIMONIDES
107
44
35
-
-
1+0+7
4+4
3+5
9
SIMONIDES
8
8
8

 

 

-
SIMONIDES
-
-
-
1
S
19
10
1
1
I
9
9
9
3
M+O+N
42
15
6
1
I
9
9
9
2
D+E
9
9
9
1
S
19
10
1
9
SIMONIDES
107
62
35
-
-
1+0+7
6+2
3+5
9
SIMONIDES
8
8
8

 

 

-
9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
6
5
9
-
-
1
+
=
31
3+1
=
4
=
4
=
4
-
-
19
9
-
15
14
9
-
-
19
+
=
85
8+5
=
13
1+3
4
=
4
-
9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
5
-
+
=
13
1+3
=
4
=
4
=
4
-
-
-
-
13
-
-
-
4
5
-
+
=
22
2+2
=
4
=
4
=
4
-
9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
-
19
9
13
15
14
9
4
5
19
+
=
107
1+0+7
=
6
=
6
=
6
-
-
1
9
4
6
5
9
4
5
1
+
=
44
2+4
=
6
=
6
=
6
-
9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
4
-
-
-
4
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
20
9
S
I
M
O
N
I
D
E
S
-
-
25
-
-
9
-
44
-
26
2+0
-
-
-
-
-
-
-
-
-
-
-
-
2+5
-
-
-
-
4+4
-
2+6
2
9
S
I
M
O
N
I
D
E
S
-
-
7
-
-
9
-
8
-
8
-
-
1
9
4
6
5
9
4
5
1
-
-
-
-
-
-
-
-
-
-
2
9
S
I
M
O
N
I
D
E
S
-
-
7
-
-
9
-
8
-
8

 

 

9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
1
9
-
6
5
9
-
-
1
+
=
31
3+1
=
4
=
4
=
4
-
19
9
-
15
14
9
-
-
19
+
=
85
8+5
=
13
1+3
4
=
4
9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
5
-
+
=
13
1+3
=
4
=
4
=
4
-
-
-
13
-
-
-
4
5
-
+
=
22
2+2
=
4
=
4
=
4
9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
19
9
13
15
14
9
4
5
19
+
=
107
1+0+7
=
6
=
6
=
6
-
1
9
4
6
5
9
4
5
1
+
=
44
2+4
=
6
=
6
=
6
9
S
I
M
O
N
I
D
E
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
4
-
-
-
4
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
9
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
9
S
I
M
O
N
I
D
E
S
-
-
25
-
-
9
-
44
-
26
-
-
-
-
-
-
-
-
-
-
-
-
2+5
-
-
-
-
4+4
-
2+6
9
S
I
M
O
N
I
D
E
S
-
-
7
-
-
9
-
8
-
8
-
1
9
4
6
5
9
4
5
1
-
-
-
-
-
-
-
-
-
-
9
S
I
M
O
N
I
D
E
S
-
-
7
-
-
9
-
8
-
8

 

SIMONIDES

 

S MON DES

 

7
S
M
O
N
D
E
S
-
-
-
-
-
-
-
-
-
-
-
1
-
6
5
-
-
1
+
=
13
1+3
=
4
=
4
=
4
-
19
-
15
14
-
-
19
+
=
67
6+7
=
13
1+3
4
=
4
7
S
M
O
N
D
E
S
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
5
-
+
=
13
1+3
=
4
=
4
=
4
-
-
13
-
-
4
5
-
+
=
22
2+2
=
4
=
4
=
4
7
S
M
O
N
D
E
S
-
-
-
-
-
-
-
-
-
-
-
19
13
15
14
4
5
19
+
=
89
8+9
=
17
1+7
8
=
8
-
1
4
6
5
4
5
1
+
=
26
2+6
=
8
=
8
=
8
7
S
M
O
N
D
E
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
4
-
-
4
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
S
M
O
N
D
E
S
-
-
16
-
-
7
-
26
-
17
-
-
-
-
-
-
-
-
-
-
1+6
-
-
-
-
2+6
-
1+7
7
S
M
O
N
D
E
S
-
-
7
-
-
7
-
8
-
8
-
1
4
6
5
4
5
1
-
-
-
-
-
-
-
-
-
-
7
S
M
O
N
D
E
S
-
-
7
-
-
7
-
8
-
8

 

 

9
SIMONIDES
107
44
8

 

 

9
SIMONIDES
107
44
8
7
MELICUS
82
28
1
16
-
189
72
35
1+6
-
1+8+9
7+2
3+5
7
-
18
9
9
-
-
1+8
-
-
7
-
9
9
9

 

 

-
16
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
6
5
9
-
-
1
-
-
-
-
9
-
-
1
+
=
41
4+1
=
5
=
5
=
5
-
-
19
9
-
15
14
9
-
-
19
-
-
-
-
9
-
-
19
+
=
113
1+1+3
=
5
=
5
=
5
-
9
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
5
-
-
4
5
3
-
3
3
-
+
=
31
1+3
=
4
=
4
=
4
-
-
-
-
13
-
-
-
4
5
-
-
13
5
12
-
3
21
-
+
=
76
7+6
=
13
1+3
4
=
4
-
16
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
-
19
9
13
15
14
9
4
5
19
-
13
5
12
9
3
21
19
+
=
189
1+8+9
=
1+8
=
9
=
9
-
-
1
9
4
6
5
9
4
5
1
-
4
5
3
9
3
3
1
+
=
72
7+2
=
9
=
9
=
9
-
16
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
17
16
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
28
-
-
16
-
72
-
36
1+7
1+6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2+8
-
-
1+6
-
7+2
-
3+6
8
7
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
10
-
-
7
-
9
-
9
-
-
1
9
4
6
5
9
4
5
1
-
4
5
3
9
3
3
1
-
-
1+0
-
-
-
-
-
-
-
8
7
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
1
-
-
7
-
9
-
9

 

 

6
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
1
9
-
6
5
9
-
-
1
-
-
-
-
9
-
-
1
+
=
41
4+1
=
5
=
5
=
5
-
19
9
-
15
14
9
-
-
19
-
-
-
-
9
-
-
19
+
=
113
1+1+3
=
5
=
5
=
5
9
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
5
-
-
4
5
3
-
3
3
-
+
=
31
1+3
=
4
=
4
=
4
-
-
-
13
-
-
-
4
5
-
-
13
5
12
-
3
21
-
+
=
76
7+6
=
13
1+3
4
=
4
16
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
19
9
13
15
14
9
4
5
19
-
13
5
12
9
3
21
19
+
=
189
1+8+9
=
1+8
=
9
=
9
-
1
9
4
6
5
9
4
5
1
-
4
5
3
9
3
3
1
+
=
72
7+2
=
9
=
9
=
9
16
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
6
=
6
-
-
9
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
16
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
28
-
-
16
-
72
-
36
1+6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2+8
-
-
1+6
-
7+2
-
3+6
7
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
10
-
-
7
-
9
-
9
-
1
9
4
6
5
9
4
5
1
-
4
5
3
9
3
3
1
-
-
1+0
-
-
-
-
-
-
-
7
S
I
M
O
N
I
D
E
S
-
M
E
L
I
C
U
S
-
-
1
-
-
7
-
9
-
9

 

 

6
S
I
M
O
N
I
D
E
S
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
1
9
-
6
5
9
-
-
1
-
-
-
9
-
-
1
+
=
41
4+1
=
5
=
5
=
5
-
19
9
-
15
14
9
-
-
19
-
-
-
9
-
-
19
+
=
113
1+1+3
=
5
=
5
=
5
9
S
I
M
O
N
I
D
E
S
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
5
-
4
5
3
-
3
3
-
+
=
31
1+3
=
4
=
4
=
4
-
-
-
13
-
-
-
4
5
-
13
5
12
-
3
21
-
+
=
76
7+6
=
13
1+3
4
=
4
16
S
I
M
O
N
I
D
E
S
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
19
9
13
15
14
9
4
5
19
13
5
12
9
3
21
19
+
=
189
1+8+9
=
1+8
=
9
=
9
-
1
9
4
6
5
9
4
5
1
4
5
3
9
3
3
1
+
=
72
7+2
=
9
=
9
=
9
16
S
I
M
O
N
I
D
E
S
M
E
L
I
C
U
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
-
-
-
-
-
-
-
-
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
occurs
x
1
=
6
=
6
-
-
9
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
16
S
I
M
O
N
I
D
E
S
M
E
L
I
C
U
S
-
-
28
-
-
16
-
72
-
36
1+6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2+8
-
-
1+6
-
7+2
-
3+6
7
S
I
M
O
N
I
D
E
S
M
E
L
I
C
U
S
-
-
10
-
-
7
-
9
-
9
-
1
9
4
6
5
9
4
5
1
4
5
3
9
3
3
1
-
-
1+0
-
-
-
-
-
-
-
7
S
I
M
O
N
I
D
E
S
M
E
L
I
C
U
S
-
-
1
-
-
7
-
9
-
9

 

 

20
DE OCCULTA PHILOSOPHIA
212
95
5
-
-
-
-
-
-
-
-
-
-
2
DE
9
9
9
7
OCCULTA
75
21
3
11
PHILOSOPHIA
128
65
2
20
DE OCCULTA PHILOSOPHIA
212
95
14
2+0
-
2+1+2
9+5
1+4
2
DE OCCULTA PHILOSOPHIA
5
14
5
-
-
-
1+4
-
2
DE OCCULTA PHILOSOPHIA
5
5
5

 

 

-
20
D
E
-
O
C
C
U
L
T
A
-
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
53
-
-
-
-
6
-
-
-
-
-
-
-
-
8
9
-
6
1
6
-
8
9
-
+
=
53
5+3
=
8
=
8
=
8
98
-
-
-
-
15
-
-
-
-
-
-
-
-
8
9
-
15
19
15
-
8
9
-
+
=
98
9+8
=
17
1+7
8
=
8
-
20
D
E
-
O
C
C
U
L
T
A
-
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
42
-
4
5
-
-
3
3
3
3
2
1
-
7
-
-
3
-
-
-
7
-
-
1
+
=
42
4+2
=
6
=
6
=
6
114
-
4
5
-
-
3
3
21
12
20
1
-
16
-
-
12
-
-
-
16
-
-
1
+
=
114
1+1+4
=
6
=
6
=
6
-
20
D
E
-
O
C
C
U
L
T
A
`
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
212
-
4
5
-
15
3
3
21
12
20
1
-
16
8
9
12
15
19
15
16
8
9
1
+
=
212
2+1+2
=
5
=
5
=
5
95
-
4
5
-
6
3
3
3
3
2
1
-
7
8
9
3
6
1
6
7
8
9
1
+
=
95
9+5
=
14
1+4
5
=
5
-
20
D
E
-
O
C
C
U
L
T
A
-
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
3
3
3
3
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
5
=
15
1+5
6
4
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
-
6
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
-
-
8
occurs
x
2
=
16
1+6
7
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
45
20
D
E
-
O
C
C
U
L
T
A
-
P
H
I
L
O
S
O
P
H
I
A
-
-
45
-
-
20
-
95
-
50
4+5
-
-
-
-
3
3
3
3
-
-
-
-
-
3
-
-
-
-
-
-
-
9
-
-
-
4+5
-
-
2+0
-
9+5
-
5+0
9
20
D
E
-
O
C
C
U
L
T
A
-
P
H
I
L
O
S
O
P
H
I
A
-
-
9
-
-
2
-
14
-
5
-
-
4
5
-
6
3
3
3
3
2
1
-
7
8
9
3
6
1
6
7
8
9
1
-
-
-
-
-
-
-
1+4
-
-
9
20
D
E
-
O
C
C
U
L
T
A
-
P
H
I
L
O
S
O
P
H
I
A
-
-
9
-
-
2
-
5
-
5

 

 

-
20
D
E
O
C
C
U
L
T
A
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
53
-
-
-
6
-
-
-
-
-
-
-
8
9
-
6
1
6
-
8
9
-
+
=
53
5+3
=
8
=
8
=
8
98
-
-
-
15
-
-
-
-
-
-
-
8
9
-
15
19
15
-
8
9
-
+
=
98
9+8
=
17
1+7
8
=
8
-
20
D
E
O
C
C
U
L
T
A
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
42
-
4
5
-
3
3
3
3
2
1
7
-
-
3
-
-
-
7
-
-
1
+
=
42
4+2
=
6
=
6
=
6
114
-
4
5
-
3
3
21
12
20
1
16
-
-
12
-
-
-
16
-
-
1
+
=
114
1+1+4
=
6
=
6
=
6
-
20
D
E
O
C
C
U
L
T
A
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
212
-
4
5
15
3
3
21
12
20
1
16
8
9
12
15
19
15
16
8
9
1
+
=
212
2+1+2
=
5
=
5
=
5
95
-
4
5
6
3
3
3
3
2
1
7
8
9
3
6
1
6
7
8
9
1
+
=
95
9+5
=
14
1+4
5
=
5
-
20
D
E
O
C
C
U
L
T
A
P
H
I
L
O
S
O
P
H
I
A
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
3
3
3
3
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
5
=
15
1+5
6
4
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
-
6
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
-
-
8
occurs
x
2
=
16
1+6
7
9
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
9
occurs
x
2
=
18
1+8
9
45
20
D
E
O
C
C
U
L
T
A
P
H
I
L
O
S
O
P
H
I
A
-
-
45
-
-
20
-
95
-
50
4+5
-
-
-
-
3
3
3
3
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
4+5
-
-
2+0
-
9+5
-
5+0
9
20
D
E
O
C
C
U
L
T
A
P
H
I
L
O
S
O
P
H
I
A
-
-
9
-
-
2
-
14
-
5
-
-
4
5
6
3
3
3
3
2
1
7
8
9
3
6
1
6
7
8
9
1
-
-
-
-
-
-
-
1+4
-
-
9
20
D
E
O
C
C
U
L
T
A
P
H
I
L
O
S
O
P
H
I
A
-
-
9
-
-
2
-
5
-
5

 

 

12
THE E AT DELPHI
113
59
5
-
-
-
-
-
-
-
-
-
-
8
PLUTARCH
99
36
9
-
-
-
-
-
-
-
-
-
-
2
DE
9
9
9
5
ISIDE
46
28
1
2
ET
25
7
7
7
OSIRIDE
79
43
7
16
DE ISIDE ET OSIRIDE
159
87
24
1+6
-
1+5+9
8+7
2+4
7
DE ISIDE ET OSIRIDE
15
15
6
-
-
1+5
1+5
-
7
DE ISIDE ET OSIRIDE
6
6
6

 

 

-
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
1
9
-
-
-
-
-
-
6
1
9
-
9
-
-
+
=
44
4+4
=
8
=
8
=
8
-
-
-
-
-
9
19
9
-
-
-
-
-
-
15
19
9
-
9
-
-
+
=
89
8+9
=
17
1+7
8
=
8
-
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
-
4
5
-
-
-
-
4
5
-
5
2
-
-
-
-
9
-
4
5
+
=
43
4+3
=
7
=
7
=
7
-
-
4
5
-
-
-
-
4
5
-
5
20
-
-
-
-
18
-
4
5
+
=
70
7+0
=
7
=
7
=
7
-
16
D
E
-
I
S
I
D
E
`
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
-
4
5
-
9
19
9
4
5
-
5
20
-
15
19
9
18
9
4
5
+
=
159
1+5+9
=
15
1+5
6
=
6
-
-
4
5
-
9
1
9
4
5
-
5
2
-
6
1
9
9
9
4
5
+
=
87
8+7
=
15
1+5
6
=
6
-
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
3
=
12
1+2
3
-
-
-
5
-
-
-
-
-
5
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
9
9
-
-
-
-
9
occurs
x
5
=
45
4+5
9
18
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
27
-
-
16
-
87
-
24
1+8
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
9
9
-
-
-
-
2+7
-
-
1+6
-
8+7
-
2+4
9
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
9
-
-
7
-
15
-
6
-
-
4
5
-
9
1
9
4
5
-
5
2
-
6
1
9
9
9
4
5
-
-
-
-
-
-
-
1+5
-
-
9
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
9
-
-
7
-
6
-
6

 

 

16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
1
9
-
-
-
-
-
-
6
1
9
-
9
-
-
+
=
44
4+4
=
8
=
8
=
8
-
-
-
-
9
19
9
-
-
-
-
-
-
15
19
9
-
9
-
-
+
=
89
8+9
=
17
1+7
8
=
8
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
4
5
-
-
-
-
4
5
-
5
2
-
-
-
-
9
-
4
5
+
=
43
4+3
=
7
=
7
=
7
-
4
5
-
-
-
-
4
5
-
5
20
-
-
-
-
18
-
4
5
+
=
70
7+0
=
7
=
7
=
7
16
D
E
-
I
S
I
D
E
`
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
4
5
-
9
19
9
4
5
-
5
20
-
15
19
9
18
9
4
5
+
=
159
1+5+9
=
15
1+5
6
=
6
-
4
5
-
9
1
9
4
5
-
5
2
-
6
1
9
9
9
4
5
+
=
87
8+7
=
15
1+5
6
=
6
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
3
=
12
1+2
3
-
-
5
-
-
-
-
-
5
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
9
9
-
-
-
-
9
occurs
x
5
=
45
4+5
9
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
27
-
-
16
-
87
-
24
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
9
9
-
-
-
-
2+7
-
-
1+6
-
8+7
-
2+4
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
9
-
-
7
-
15
-
6
-
4
5
-
9
1
9
4
5
-
5
2
-
6
1
9
9
9
4
5
-
-
-
-
-
-
-
1+5
-
-
16
D
E
-
I
S
I
D
E
-
E
T
-
O
S
I
R
I
D
E
-
-
9
-
-
7
-
6
-
6

 

 

16
D
E
I
S
I
D
E
E
T
S
I
R
I
D
E
-
-
-
-
-
--
-
-
-
-
-
-
-
9
1
9
-
-
-
-
6
1
9
-
9
-
-
+
=
44
4+4
=
8
=
8
=
8
-
-
-
9
19
9
-
-
-
-
15
19
9
-
9
-
-
+
=
89
8+9
=
17
1+7
8
=
8
16
D
E
I
S
I
D
E
E
T
O
S
I
R
I
D
E
-
-
-
-
-
--
-
-
-
-
-
4
5
-
-
-
4
5
5
2
-
-
-
9
-
4
5
+
=
43
4+3
=
7
=
7
=
7
-
4
5
-
-
-
4
5
5
20
-
-
-
18
-
4
5
+
=
70
7+0
=
7
=
7
=
7
16
D
E
I
S
I
D
E
E
T
O
S
I
R
I
D
E
-
-
-
-
-
--
-
-
-
-
-
4
5
9
19
9
4
5
5
20
15
19
9
18
9
4
5
+
=
159
1+5+9
=
15
1+5
6
=
6
-
4
5
9
1
9
4
5
5
2
6
1
9
9
9
4
5
+
=
87
8+7
=
15
1+5
6
=
6
16
D
E
I
S
I
D
E
E
T
O
S
I
R
I
D
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
4
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
4
occurs
x
3
=
12
1+2
3
-
-
5
-
-
-
-
5
5
-
-
-
-
-
-
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
9
-
9
-
-
-
-
-
-
9
9
9
-
-
-
-
9
occurs
x
5
=
45
4+5
9
16
D
E
I
S
I
D
E
E
T
O
S
I
R
I
D
E
-
-
27
-
-
16
-
87
-
24
-
-
-
9
-
9
-
-
-
-
-
-
9
9
9
-
-
-
-
2+7
-
-
1+6
-
8+7
-
2+4
16
D
E
I
S
I
D
E
E
T
O
S
I
R
I
D
E
-
-
9
-
-
7
-
15
-
6
-
4
5
9
1
9
4
5
5
2
6
1
9
9
9
4
5
-
-
-
-
-
-
-
1+5
-
-
16
D
E
I
S
I
D
E
E
T
O
S
I
R
I
D
E
-
-
9
-
-
7
-
6
-
6

 

 

6
OSIRIS
89
35
8
4
ISIS
56
20
2
3
SET
44
8
8
13
Add to Reduce
189
63
18
1+3
Reduce to Deduce
1+8
6+3
1+8
4
Essence of Number
9
9
9
5
HORUS
81
27
9
4
GODS
45
18
9
8
CREATORS
99
36
9

 

 

T
=
2
-
3
THE
33
15
6
N
=
5
-
8
NATIVITY
120
39
3
-
-
7
-
11
-
153
54
9
-
-
-
-
1+1
-
1+8+0
5+4
-
-
-
7
-
2
-
9
9
9

 

 

-
17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
5
-
-
9
-
9
-
-
+
=
31
3+1
=
4
=
4
=
4
-
-
-
8
-
-
14
-
-
9
-
9
-
-
+
=
40
4+0
=
4
=
4
=
4
-
17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
-
1
2
-
4
-
2
7
+
=
23
2+3
=
6
=
6
=
6
-
-
20
-
5
-
-
1
20
-
22
-
20
25
+
=
113
1+3+3
=
17
1+7
8
=
8
-
17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
14
1
20
9
22
9
20
25
+
=
153
1+5+3
=
9
=
9
=
9
-
-
2
8
5
-
5
1
2
9
4
9
2
7
+
=
54
5+4
=
9
=
9
=
9
-
17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
2
-
-
-
2
-
-
-
2
occurs
x
3
=
6
=
6
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
9
occurs
x
1
=
9
=
9
9
11
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
36
-
-
11
-
54
-
36
-
1+1
-
-
-
-
-
-
-
9
-
9
-
-
-
-
3+6
-
-
1+1
-
5+4
-
3+6
9
2
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
9
-
-
2
-
9
-
9
-
-
2
8
5
-
5
1
2
9
4
9
2
7
-
-
-
-
-
-
-
-
-
-
9
2
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
9
-
-
2
-
9
-
9

 

 

17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
5
-
-
9
-
9
-
-
+
=
31
3+1
=
4
=
4
=
4
-
-
8
-
-
14
-
-
9
-
9
-
-
+
=
40
4+0
=
4
=
4
=
4
17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
-
1
2
-
4
-
2
7
+
=
23
2+3
=
6
=
6
=
6
-
20
-
5
-
-
1
20
-
22
-
20
25
+
=
113
1+3+3
=
17
1+7
8
=
8
17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
14
1
20
9
22
9
20
25
+
=
153
1+5+3
=
9
=
9
=
9
-
2
8
5
-
5
1
2
9
4
9
2
7
+
=
54
5+4
=
9
=
9
=
9
17
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
2
-
-
-
2
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
9
occurs
x
1
=
9
=
9
11
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
36
-
-
11
-
54
-
36
1+1
-
-
-
-
-
-
-
9
-
9
-
-
-
-
3+6
-
-
1+1
-
5+4
-
3+6
2
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
9
-
-
2
-
9
-
9
-
2
8
5
-
5
1
2
9
4
9
2
7
-
-
-
-
-
-
-
-
-
-
2
T
H
E
-
N
A
T
I
V
I
T
Y
-
-
9
-
-
2
-
9
-
9

 

 

17
T
H
E
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
8
-
5
-
-
9
-
9
-
-
+
=
31
3+1
=
4
=
4
=
4
-
-
8
-
14
-
-
9
-
9
-
-
+
=
40
4+0
=
4
=
4
=
4
17
T
H
E
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
1
2
-
4
-
2
7
+
=
23
2+3
=
6
=
6
=
6
-
20
-
5
-
1
20
-
22
-
20
25
+
=
113
1+3+3
=
17
1+7
8
=
8
17
T
H
E
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
20
8
5
14
1
20
9
22
9
20
25
+
=
153
1+5+3
=
9
=
9
=
9
-
2
8
5
5
1
2
9
4
9
2
7
+
=
54
5+4
=
9
=
9
=
9
17
T
H
E
N
A
T
I
V
I
T
Y
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
2
-
-
-
2
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
4
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
5
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
9
-
9
-
-
-
-
9
occurs
x
1
=
9
=
9
11
T
H
E
N
A
T
I
V
I
T
Y
-
-
36
-
-
11
-
54
-
36
1+1
-
-
-
-
-
-
9
-
9
-
-
-
-
3+6
-
-
1+1
-
5+4
-
3+6
2
T
H
E
N
A
T
I
V
I
T
Y
-
-
9
-
-
2
-
9
-
9
-
2
8
5
5
1
2
9
4
9
2
7
-
-
-
-
-
-
-
-
-
-
2
T
H
E
N
A
T
I
V
I
T
Y
-
-
9
-
-
2
-
9
-
9

 

 

I

THAT

AM

CRUCIFIED

A

CROSS A CROSS

 

 

Macbeth 1 [iii]

Shakespeare,

"Thrice to thine and thrice to mine,

and thrice again to make up nine"

 Number 9

The Search for the Sigma code

Cecil Balmond

Page 45

"Three times three, the trinity of trinities, gains select status then as the doubling and resourcing of special power.

From ancient times number nine was seen as a full complement; it was the cup of special promise that brimmed over. "

 

3 x 3 = 9 = 3 x 3

 

 

Daily Mail, Thursday, December 15, 2011

ANSWERS TO CORRESPONDENTS

Compiled by Charles Legge

Page 57

At a formal dinner celebrating the opening of the Watford St Albans branch railway line in 1958 several toasts were drunk 'with three times three'. What does this mean?

THE Watford to St Albans branch line, known locally as the Abbey Flyer, opened on May 5, 1858, so the dinner must have been part of the centenary celebrations.

The 'three times three' is the traditional three cheers ('Hip, Hip, Hooray!' shouted three times).

The origin of the cheer is obscure but it's recorded in 1816 when John Quincy Adams, an envoy to the English court, wrote in his diary that he had attended a dinner given by the Lord Mayor in the Mansion House and that 'every toast was drunk standing with what they call three time three hip! hip! hip! and nine huzzahs'.

It is more usual now to proclaim only two hips and 'huzzah' has become 'hooray'. In the 17th and 18th centuries, three huzzahs - two short ones followed by a long sustained one - were given by the British infantry before a charge.

It has been suggested 'hurrah' or 'hooray' comes from old Turkic and that the Turks used to shout 'Ur, ah!' meaning 'Come on, hit!".

A less likely explanation is that 'hip' dates from the crusades and is an acronym of Hierosolyma est perdita -'Jerusalem is lost'. Equally unlikely is the idea that 'hurrah' is a corruption of the Slavonic hu-raj - paradise. In this scheme, 'Hip Hip Hooray!' would mean 'Jerusalem is lost; paradise here we come!'

Barry Saunders, Watford.

 

 

THE ART OF MEMORY

FRANCIS A. YATES 1966

THREE LATIN SOURCES FOR THE CLASSICAL ART OF MEMORY

Page 21

"The Ad Herennium was a well known and much used text in the Middle Ages when it had an immense prestige because it was thought to be by Cicero. It was therefore believed that the precepts for the artificial memory which it expounded had been drawn up by Tullius himself"

Page 32

"Though the medieval tradition which assigned the authorship of Ad Herennium to 'Tullius' was wrong in fact, it was not wrong in its inference that the art of memory was practised and recommended by Tullius."

 

 

-
TULLIUS
-
-
-
1
T
20
2
2
1
U
21
3
3
1
L
12
3
3
1
L
12
3
3
1
I
9
9
9
1
U
21
3
3
1
S
19
10
1
7
TULLIUS
114
24
12
-
-
1+1+4
2+4
1+2
7
TULLIUS
6
6
6

 

 

-
4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
9
-
1
+
=
10
1+0
=
1
=
1
=
1
-
-
-
--
-
-
9
-
19
+
=
28
2+8
=
10
1+0
1
=
1
-
4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
2
3
3
3
-
3
-
+
=
14
1+4
=
5
=
5
=
5
-
-
20
21
12
12
-
21
-
+
=
86
8+6
=
14
1+4
5
=
5
-
4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
20
21
12
12
9
21
19
+
=
114
1+1+4
=
6
=
6
=
6
-
-
2
3
3
3
9
3
1
+
=
24
2+4
=
6
=
6
=
6
-
4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
--
1
-
-
1
occurs
x
1
=
1
=
1
-
-
2
--
-
-
-
--
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
3
3
3
-
3
-
-
-
3
occurs
x
4
=
12
1+2
3
4
-
-
--
-
-
-
--
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
--
-
-
-
--
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
--
-
-
-
--
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
--
-
-
-
--
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
--
-
-
-
--
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
--
-
-
9
--
-
-
-
9
occurs
x
1
=
9
=
9
30
4
T
U
L
L
I
U
S
-
-
15
-
-
7
-
24
-
15
3+0
-
-
3
3
3
-
3
-
-
-
1+5
-
-
-
-
2+4
-
1+5
3
4
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6
-
-
2
3
3
3
9
3
1
-
-
-
-
-
-
-
-
-
-
3
4
T
U
L
L
I
U
S
-
-
6
-
-
4
-
6
-
6

 

 

4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
9
-
1
+
=
10
1+0
=
1
=
1
=
1
-
-
--
-
-
9
-
19
+
=
28
2+8
=
10
1+0
1
=
1
4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
2
3
3
3
-
3
-
+
=
14
1+4
=
5
=
5
=
5
-
20
21
12
12
-
21
-
+
=
86
8+6
=
14
1+4
5
=
5
4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
20
21
12
12
9
21
19
+
=
114
1+1+4
=
6
=
6
=
6
-
2
3
3
3
9
3
1
+
=
24
2+4
=
6
=
6
=
6
4
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
--
1
-
-
1
occurs
x
1
=
1
=
1
-
2
--
-
-
-
--
-
-
-
2
occurs
x
1
=
2
=
2
-
-
3
3
3
-
3
-
-
-
3
occurs
x
4
=
12
1+2
3
-
-
--
-
-
9
--
-
-
-
9
occurs
x
1
=
9
=
9
4
T
U
L
L
I
U
S
-
-
15
-
-
7
-
24
-
15
-
-
3
3
3
-
3
-
-
-
1+5
-
-
-
-
2+4
-
1+5
4
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6
-
2
3
3
3
9
3
1
-
-
-
-
-
-
-
-
-
-
4
T
U
L
L
I
U
S
-
-
6
-
-
4
-
6
-
6

 

 

Page 282

"By the THE LADDER OF MINERVA we rise from the first to the last..."

 

 

THE ART OF MEMORY

FRANCIS A. YATES 1966

THREE LATIN SOURCES FOR THE CLASSICAL ART OF MEMORY

Page 175

CHAPTER 8

LULLISM AS AN ART OF MEMORY

THOUGH we have now reached the Renaissance, with Camillo, we have to retrace our steps to the Middle Ages during this chapter. For there was another kind of art of memory which began in the Middle Ages, which continued into the Renaissance and beyond, and which it was the aim of many in the Renaissance to combine with the classical art in some new synthesis whereby memory should reach still further heights of insight and of power. This other art of memory was the Art of Ramon Lull.

Lullism and its history is a most difficult subject and one for the exploration of which the full materials have not yet been assembled; The enormous number of Lull's own writings, some of them still unpublished, the vast Lullist literature written by his followers, the extreme complexity of Lullism, make it impossible as yet to reach very definite conclusions about what is, undoubtedly.ra strand of major importance in the European tradition. And what I have to do now is to write one not very long chapter giving some idea of what the Art of Ramon Lull was like, of why it was an art of memory, of how it differs from the classical art of memory, and of how Lullism became absorbed at the Renaissance into Renaissance forms of the classical art.

Obviously- I am attempting the impossible, yet the impossible must be attempted because it is essential for the later part of this book that there should be some sketch at this stage of Lullism itself. The chapter is based on my own two articles on the art of Ramon Lull:' it is orientated towards a comparison of Lullism as an art of memory with. the classical art; and it is not concerned solely with 'genuine' Lullism but also with the Renaissance interpretation of Lullism, for it is this. which is important for the next stages of our history.

 

ART AT R AT ART

 

 

-
LULL
-
-
-
1
L
12
3
3
1
U
21
3
3
1
L
12
3
3
1
L
12
3
3
4
LULL
57
12
12
-
-
5+7
1+2
1+2
4
LULL
12
3
3
-
-
1+2
-
-
4
LULL
3
3
3

 

 

-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
+
=
12
1+2
=
3
=
3
=
3
-
-
12
21
12
12
+
=
57
5+7
=
12
1+2
3
=
3
-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
+
=
12
1+2
=
3
=
3
=
3
-
-
12
21
12
12
+
=
57
5+7
=
12
1+2
3
=
3
-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
12
21
12
12
+
=
57
5+7
=
12
=
3
=
3
-
-
3
3
3
3
+
=
12
1+2
=
3
=
3
=
3
-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
1
-
-
--
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
--
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
3
3
3
3
-
-
3
occurs
x
4
=
12
1+2
3
4
-
-
--
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
--
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
--
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
--
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
--
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
--
-
-
-
-
9
NINE
9
-
-
-
-
-
42
4
L
U
L
L
-
-
3
-
-
4
-
12
-
3
4+2
-
3
3
3
3
-
-
-
-
-
-
-
1+2
-
-
6
4
L
U
L
L
-
-
3
-
-
4
-
3
-
3
-
-
3
3
3
3
-
-
-
-
-
-
-
-
-
-
6
4
L
U
L
L
-
-
3
-
-
4
-
3
-
3

 

 

-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
+
=
12
1+2
=
3
=
3
=
3
-
-
12
21
12
12
+
=
57
5+7
=
12
1+2
3
=
3
-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
+
=
12
1+2
=
3
=
3
=
3
-
-
12
21
12
12
+
=
57
5+7
=
12
1+2
3
=
3
-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
12
21
12
12
+
=
57
5+7
=
12
=
3
=
3
-
-
3
3
3
3
+
=
12
1+2
=
3
=
3
=
3
-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
-
-
3
occurs
x
4
=
12
1+2
3
42
4
L
U
L
L
-
-
3
-
-
4
-
12
-
3
4+2
-
3
3
3
3
-
-
-
-
-
-
-
1+2
-
-
6
4
L
U
L
L
-
-
3
-
-
4
-
3
-
3
-
-
3
3
3
3
-
-
-
-
-
-
-
-
-
-
6
4
L
U
L
L
-
-
3
-
-
4
-
3
-
3

 

 

-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
12
21
12
12
+
=
57
5+7
=
12
=
3
=
3
-
-
3
3
3
3
+
=
12
1+2
=
3
=
3
=
3
-
4
L
U
L
L
-
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
-
-
3
occurs
x
4
=
12
1+2
3
42
4
L
U
L
L
-
-
3
-
-
4
-
12
-
3
4+2
-
3
3
3
3
-
-
-
-
-
-
-
1+2
-
-
6
4
L
U
L
L
-
-
3
-
-
4
-
3
-
3
-
-
3
3
3
3
-
-
-
-
-
-
-
-
-
-
6
4
L
U
L
L
-
-
3
-
-
4
-
3
-
3

 

 

THE ART OF MEMORY

FRANCIS A. YATES 1966

THREE LATIN SOURCES FOR THE CLASSICAL ART OF MEMORY

Page 111

MEDIEVAL MEMORY AND THE FORMATION OF IMAGES

"Petrarch makes his allusions to the art by introducing examples of men of antiquity famed for good memories and associating these with the classical art. His paragraph on the memories of Lucullus and Hortensius begins thus: - 'Memory is of two kinds, one for things, one for words.' 57

LUCULLUS 33333331 LUCULLUS

 

 

-
LUCULLUS
-
-
-
1
L
12
3
3
1
U
21
3
3
1
C
3
3
3
1
U
21
3
3
1
L
12
3
3
1
L
12
3
3
1
U
21
3
3
1
S
19
10
1
8
LUCULLUS
121
31
22
-
-
1+2+1
3+1
2+2
8
LUCULLUS
4
4
4

 

 

-
7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
-
-
1
+
=
10
1+0
=
1
=
1
=
1
-
-
-
--
-
-
-
-
-
19
+
=
19
1+9
=
10
1+0
1
=
1
-
7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
3
3
3
-
+
=
21
2+1
=
3
=
3
=
3
-
-
12
21
3
21
12
12
21
-
+
=
30
3+0
=
3
=
3
=
3
-
7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
-
12
21
3
21
12
12
21
19
+
=
121
1+2+1
=
4
=
4
=
4
-
-
3
3
3
3
3
3
3
1
+
=
22
2+2
=
4
=
4
=
4
-
7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
--
-
-
--
1
-
-
1
occurs
x
1
=
1
=
1
2
-
-
--
-
--
-
-
--
-
-
-
2
TWO
2
-
-
-
-
-
-
-
3
3
3
3
3
3
3
-
-
-
3
occurs
x
7
=
21
2+1
3
4
-
-
--
-
--
-
-
--
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
--
-
--
-
-
--
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
--
-
--
-
-
--
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
--
-
--
-
-
--
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
--
-
--
-
-
--
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
--
-
--
-
-
--
-
-
-
9
NINE
9
-
-
-
-
-
41
8
L
U
C
U
L
L
U
S
-
-
4
-
-
8
-
22
-
4
4+1
-
3
3
3
3
3
3
3
-
-
-
-
-
-
-
-
2+2
-
-
5
8
L
U
C
U
L
L
U
S
-
-
4
-
-
8
-
4
-
4
-
-
3
3
3
3
3
3
3
1
-
-
-
-
-
-
-
-
-
-
5
8
L
U
C
U
L
L
U
S
-
-
4
-
-
8
-
4
-
4

 

 

7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
-
-
1
+
=
10
1+0
=
1
=
1
=
1
-
-
--
-
-
-
-
-
19
+
=
19
1+9
=
10
1+0
1
=
1
7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
3
3
3
3
3
3
3
-
+
=
21
2+1
=
3
=
3
=
3
-
12
21
3
21
12
12
21
-
+
=
30
3+0
=
3
=
3
=
3
7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
12
21
3
21
12
12
21
19
+
=
121
1+2+1
=
4
=
4
=
4
-
3
3
3
3
3
3
3
1
+
=
22
2+2
=
4
=
4
=
4
7
L
U
C
U
L
L
U
S
-
-
-
-
-
-
-
-
-
-
-
-
--
-
--
-
-
--
1
-
-
1
occurs
x
1
=
1
=
1
-
3
3
3
3
3
3
3
-
-
-
3
occurs
x
7
=
21
2+1
3
8
L
U
C
U
L
L
U
S
-
-
4
-
-
8
-
22
-
4
-
3
3
3
3
3
3
3
-
-
-
-
-
-
-
-
2+2
-
-
8
L
U
C
U
L
L
U
S
-
-
4
-
-
8
-
4
-
4
-
3
3
3
3
3
3
3
1
-
-
-
-
-
-
-
-
-
-
8
L
U
C
U
L
L
U
S
-
-
4
-
-
8
-
4
-
4

 

 

Daily Mail, Thursday, November 17, 2011

ANSWERS TO CORRESPONDENTS

Compiled by Charles Legge

Page 70

QUESTION The W. B Yeats poem Mad As The Mists and snow name checks Homer, Horace, Cicero and and Tully ('and here is Tully's open page') Who was Tully?


TULLY and Cicero are one and the same person - the Roman statesman and philosopher whose full latin name was Marcus Tullius Cicero (106-43 BC).

Male Roman citizens typically had three names, their praenomen (given name), their nomen (clan name) and their' cognomen (nickname or family name), but in English classical Latin authors are generally known by a single name, often Anglicised. These sometimes derive from the nomen (for example, Horace's full name was Quintus Horatius Flaccus) and sometimes from the cognomen (as with Gaius Julius Caesar).

In Cicero's case, he's today known by his cognomen, but has sometimes in the past been called Tully from his nomen.

Despite coming from humble stock, Cicero's skill as an orator saw him rise to the supreme position of state in the Republic, the consulship, in 63BC and he played a key role in the defeat of the Catiline conspiracy.

As a result of the rise to power of Julius Caesar, he took a lesser role in his later years, devoting himself to literature Instead.

After Caesar's assassination in 44BC, Cicero returned to politics and took a key role in the senatorial opposition to Mark Antony.

He was murdered on Antony's orders when he took power. Cicero's surviving letters form a key source for the history of the fall of the Roman Republic and its replacement by the rule of the emperors.

David Bradbury, London.

 

-
TULLIUS
-
-
-
1
T
20
2
2
1
U
21
3
3
1
L
12
3
3
1
L
12
3
3
1
I
9
9
9
1
U
21
3
3
1
S
19
10
1
7
TULLIUS
114
33
24
-
-
1+1+4
3+3
2+4
7
TULLIUS
6
6
6

 

 

-
-
-
-
-
TULLIUS
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
2
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
-
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
-
-
U
=
3
-
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
S
=
1
1
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
24
12
7
TULLIUS
114
33
24
-
1
2
12
-
-
-
-
-
9
-
-
2+4
1+2
-
-
1+1+4
3+3
2+4
-
-
-
1+2
-
-
-
-
-
-
-
-
6
3
7
TULLIUS
6
6
6
-
1
2
3
-
-
-
-
-
9

 

 

-
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
9
-
1
+
=
10
1+0
=
1
=
1
=
1
-
-
-
--
-
-
9
-
19
+
=
28
2+8
=
10
1+0
1
=
1
-
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
2
3
3
3
-
3
-
+
=
14
1+4
=
5
=
5
=
5
-
-
20
21
12
12
-
21
-
+
=
86
8+6
=
14
1+4
5
=
5
-
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
20
21
12
12
9
21
19
+
=
114
1+1+4
=
6
=
6
=
6
-
-
2
3
3
3
9
3
1
+
=
33
3+3
=
6
=
6
=
6
-
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
--
1
-
-
1
occurs
x
1
=
1
=
1
-
-
2
--
-
-
-
--
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
3
3
3
-
3
-
-
-
3
occurs
x
4
=
12
1+2
3
4
-
-
--
-
-
-
--
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
--
-
-
-
--
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
--
-
-
-
--
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
--
-
-
-
--
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
--
-
-
-
--
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
--
-
-
9
--
-
-
-
9
occurs
x
1
=
9
=
9
30
7
T
U
L
L
I
U
S
-
-
15
-
-
7
-
24
-
15
3+0
-
-
3
3
3
-
3
-
-
-
1+5
-
-
-
-
2+4
-
1+5
3
7
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6
-
-
2
3
3
3
9
3
1
-
-
-
-
-
-
-
-
-
-
3
7
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6

 

 

7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
9
-
1
+
=
10
1+0
=
1
=
1
=
1
-
-
--
-
-
9
-
19
+
=
28
2+8
=
10
1+0
1
=
1
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
2
3
3
3
-
3
-
+
=
14
1+4
=
5
=
5
=
5
-
20
21
12
12
-
21
-
+
=
86
8+6
=
14
1+4
5
=
5
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
20
21
12
12
9
21
19
+
=
114
1+1+4
=
6
=
6
=
6
-
2
3
3
3
9
3
1
+
=
33
3+3
=
6
=
6
=
6
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
--
1
-
-
1
occurs
x
1
=
1
=
1
-
2
--
-
-
-
--
-
-
-
2
occurs
x
1
=
2
=
2
-
-
3
3
3
-
3
-
-
-
3
occurs
x
4
=
12
1+2
3
-
-
--
-
-
9
--
-
-
-
9
occurs
x
1
=
9
=
9
7
T
U
L
L
I
U
S
-
-
15
-
-
7
-
24
-
15
-
-
3
3
3
-
3
-
-
-
1+5
-
-
-
-
2+4
-
1+5
7
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6
-
2
3
3
3
9
3
1
-
-
-
-
-
-
-
-
-
-
7
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6

 

 

7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
20
21
12
12
9
21
19
+
=
114
1+1+4
=
6
=
6
=
6
-
2
3
3
3
9
3
1
+
=
33
3+3
=
6
=
6
=
6
7
T
U
L
L
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
--
1
-
-
1
occurs
x
1
=
1
=
1
-
2
--
-
-
-
--
-
-
-
2
occurs
x
1
=
2
=
2
-
-
3
3
3
-
3
-
-
-
3
occurs
x
4
=
12
1+2
3
-
-
--
-
-
9
--
-
-
-
9
occurs
x
1
=
9
=
9
7
T
U
L
L
I
U
S
-
-
15
-
-
7
-
24
-
15
-
-
3
3
3
-
3
-
-
-
1+5
-
-
-
-
2+4
-
1+5
7
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6
-
2
3
3
3
9
3
1
-
-
-
-
-
-
-
-
-
-
7
T
U
L
L
I
U
S
-
-
6
-
-
7
-
6
-
6

 

 

THE ART OF MEMORY

FRANCIS A. YATES 1966

THREE LATIN SOURCES FOR THE CLASSICAL ART OF MEMORY

Page 21

"The Ad Herennium was a well known and much used text in the Middle Ages when it had an immense prestige because it was thought to be by Cicero. It was therefore believed that the precepts for the artificial memory which it expounded had been drawn up by Tullius himself"

Page 32

"Though the medieval tradition which assigned the authorship of Ad Herennium to 'Tullius' was wrong in fact, it was not wrong in its inference that the art of memory was practised and recommended by Tullius."

Page 282

"By the THE LADDER OF MINERVA we rise from the first to the last..."

 

 

A
=
1
-
2
AD
5
5
5
H
=
8
-
9
HERENNIUM
107
53
8
S
-
9
4
11
First Total
112
58
13
-
S
-
-
1+1
Add to Reduce
1+1+2
5+8
1+3
S
-
9
4
2
Second Total
4
13
4
-
-
-
-
-
Reduce to Deduce
1+2
1+3
-
-
-
9
-
2
Essence of Number
4
4
4

 

 

-
11
A
D
-
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
5
5
9
-
-
+
=
27
2+7
=
9
=
9
=
9
-
-
-
-
-
8
-
-
-
14
14
9
-
-
+
=
45
4+5
=
9
=
9
=
9
-
11
A
D
-
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
-
1
4
-
-
5
9
5
-
-
-
3
4
+
=
31
3+1
=
4
=
4
=
4
-
-
1
4
-
-
5
18
5
-
-
-
21
13
+
=
67
6+7
=
13
1+3
4
=
4
-
11
A
D
-
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
-
1
4
-
8
5
18
5
14
14
9
21
13
+
=
112
1+1+2
=
4
=
4
=
4
-
-
1
4
-
8
5
9
5
5
5
9
3
4
+
=
58
5+8
=
13
1+3
4
=
4
-
11
A
D
-
H
E
R
E
N
N
I
U
M
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
4
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
5
-
5
5
5
-
-
-
-
-
5
occurs
x
4
=
20
2+0
2
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
1
=
18
1+8
9
15
11
A
D
-
H
E
R
E
N
N
I
U
M
-
-
30
-
1
11
-
58
-
31
1+5
1+1
-
-
-
-
-
9
-
-
-
9
-
-
-
-
3+0
-
-
1+1
-
5+8
-
3+1
6
2
A
D
-
H
E
R
E
N
N
I
U
M
-
-
3
-
1
2
-
13
-
4
-
-
1
4
-
8
5
9
5
5
5
9
3
4
-
-
-
-
-
-
-
1+3
-
-
6
2
A
D
-
H
E
R
E
N
N
I
U
M
-
-
3
-
-
2
-
4
-
4

 

 

1
A
D
-
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
5
5
9
-
-
+
=
27
2+7
=
9
=
9
=
9
-
-
-
-
8
-
-
-
14
14
9
-
-
+
=
45
4+5
=
9
=
9
=
9
11
A
D
-
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
1
4
-
-
5
9
5
-
-
-
3
4
+
=
31
3+1
=
4
=
4
=
4
-
1
4
-
-
5
18
5
-
-
-
21
13
+
=
67
6+7
=
13
1+3
4
=
4
11
A
D
-
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
1
4
-
8
5
18
5
14
14
9
21
13
+
=
112
1+1+2
=
4
=
4
=
4
-
1
4
-
8
5
9
5
5
5
9
3
4
+
=
58
5+8
=
13
1+3
4
=
4
11
A
D
-
H
E
R
E
N
N
I
U
M
-T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
4
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
5
-
5
5
5
-
-
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
1
=
18
1+8
9
11
A
D
-
H
E
R
E
N
N
I
U
M
-
-
30
-
1
11
-
58
-
31
1+1
-
-
-
-
-
9
-
-
-
9
-
-
-
-
3+0
-
-
1+1
-
5+8
-
3+1
2
A
D
-
H
E
R
E
N
N
I
U
M
-
-
3
-
1
2
-
13
-
4
-
1
4
-
8
5
9
5
5
5
9
3
4
-
-
-
-
-
-
-
1+3
-
-
2
A
D
-
H
E
R
E
N
N
I
U
M
-
-
3
-
-
2
-
4
-
4

 

 

1
A
D
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
5
5
9
-
-
+
=
27
2+7
=
9
=
9
=
9
-
-
-
8
-
-
-
14
14
9
-
-
+
=
45
4+5
=
9
=
9
=
9
11
A
D
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
1
4
-
5
9
5
-
-
-
3
4
+
=
31
3+1
=
4
=
4
=
4
-
1
4
-
5
18
5
-
-
-
21
13
+
=
67
6+7
=
13
1+3
4
=
4
11
A
D
H
E
R
E
N
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
1
4
8
5
18
5
14
14
9
21
13
+
=
112
1+1+2
=
4
=
4
=
4
-
1
4
8
5
9
5
5
5
9
3
4
+
=
58
5+8
=
13
1+3
4
=
4
11
A
D
H
E
R
E
N
N
I
U
M
-T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
4
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
5
5
5
-
-
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
9
-
-
-
9
-
-
-
-
9
occurs
x
1
=
18
1+8
9
11
A
D
H
E
R
E
N
N
I
U
M
-
-
30
-
1
11
-
58
-
31
1+1
-
-
-
-
9
-
-
-
9
-
-
-
-
3+0
-
-
1+1
-
5+8
-
3+1
2
A
D
H
E
R
E
N
N
I
U
M
-
-
3
-
1
2
-
13
-
4
-
1
4
8
5
9
5
5
5
9
3
4
-
-
-
-
-
-
-
1+3
-
-
2
A
D
H
E
R
E
N
N
I
U
M
-
-
3
-
-
2
-
4
-
4

 

 

-
-
-
-
-
AD HERENNIUM
-
-
-
A
=
1
-
2
A+D
5
5
5
-
-
-
-
9
HERENNIUM
-
-
-
-
S
-
S
S
H
8
8
8
S
-
S
-
-
E
5
5
5
-
S
-
S
S
R
18
9
9
S
-
S
-
-
E
5
5
5
-
S
-
S
S
N
14
5
5
-
S
-
S
S
N
14
5
5
-
S
-
S
S
I
9
9
9
S
-
S
-
-
U
21
3
3
S
-
S
-
-
M
13
4
4
S
S
-
S
-
AD HERENNIUM
-
-
-
H
=
8
4
11
First Total
112
58
58
-
S
-
-
1+1
Add to Reduce
1+1+2
5+8
5+8
S
-
9
4
2
Second Total
4
13
13
-
-
-
-
-
Reduce to Deduce
1+2
1+3
1+3
-
-
9
-
2
Essence of Number
4
4
4

 

 

THE ART OF MEMORY

FRANCIS A. YATES 1966

THREE LATIN SOURCES FOR THE CLASSICAL ART OF MEMORY

Page 175

CHAPTER 8

LULLISM AS AN ART OF MEMORY

THOUGH we have now reached the Renaissance, with Camillo, we have to retrace our steps to the Middle Ages during this chapter. For there was another kind of art of memory which began in the Middle Ages, which continued into the Renaissance and beyond, and which it was the aim of many in the Renaissance to combine with the classical art in some new synthesis whereby memory should reach still further heights of insight and of power. This other art of memory was the Art of Ramon Lull.

Lullism and its history is a most difficult subject and one for the exploration of which the full materials have not yet been assembled; The enormous number of Lull's own writings, some of them still unpublished, the vast Lullist literature written by his followers, the extreme complexity of Lullism, make it impossible as yet to reach very definite conclusions about what is, undoubtedly.ra strand of major importance in the European tradition. And what I have to do now is to write one not very long chapter giving some idea of what the Art of Ramon Lullwas like, of why it was an art of memory, of how it differs from the classical art of memory, and of how Lullism became absorbed at the Renaissance into Renaissance forms of the classical art.

Obviously- I am attempting the impossible, yet the impossible must be attempted because it is essential for the later part of this book that there should be some sketch at this stage of Lullism itself. The chapter is based on my own two articles on the art of Ramon Lull:' it is orientated towards a comparison of Lullism as an art of memory with. the classical art; and it is not concerned solely with 'genuine' Lullism but also with the Renaissance interpretation of Lullism, for it is this. which is important for the next stages of our history.

 

ART AT R AT ART

 

 

8
SIG1LLUS
108
36
9
10
SIGILLORUM
135
54
9
18
-
243
90
18
1+8
-
2+4+3
9+0
1+8
9
-
9
9
9

 

 

-
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
-
-
-
1
-
1
9
-
9
-
-
6
-
-
-
+
=
45
4+5
=
9
=
9
=
9
-
-
19
9
-
9
-
-
-
19
-
19
9
-
9
-
-
15
-
-
-
+
=
108
1+0+8
=
9
=
9
=
9
-
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
3
3
3
-
-
-
-
7
-
3
3
-
9
3
4
+
=
45
4+5
=
9
=
9
=
9
-
-
-
-
7
-
12
12
21
-
-
-
-
7
-
12
12
-
18
21
13
+
=
135
1+3+5
=
9
=
9
=
9
-
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
19
9
7
9
12
12
21
19
-
19
9
7
9
12
12
15
18
21
13
+
=
243
2+4+3
=
9
=
9
=
9
-
-
1
9
7
9
3
3
3
1
-
1
9
7
9
3
3
6
9
3
4
+
=
90
9+0
=
9
=
9
=
9
-
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
3
3
3
-
-
-
-
-
-
3
3
-
-
3
-
-
-
3
occurs
x
6
=
18
1+8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
9
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
9
-
-
-
9
-
-
-
-
9
occurs
x
5
=
45
4+5
9
15
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
30
-
-
18
-
90
-
36
1+5
1+8
-
-
-
-
3
3
3
-
-
-
-
-
-
3
3
-
-
3
-
-
-
3+0
-
-
1+8
-
9+0
-
3+6
6
9
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
3
-
-
9
-
9
-
9
-
-
1
9
7
9
3
3
3
1
-
1
9
7
9
3
3
6
9
3
4
-
-
-
-
-
-
-
-
-
-
6
9
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
3
-
-
9
-
9
-
9

 

 

18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
-
-
-
1
-
1
9
-
9
-
-
6
-
-
-
+
=
45
4+5
=
9
=
9
=
9
-
19
9
-
9
-
-
-
19
-
19
9
-
9
-
-
15
-
-
-
+
=
108
1+0+8
=
9
=
9
=
9
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
3
3
3
-
-
-
-
7
-
3
3
-
9
3
4
+
=
45
4+5
=
9
=
9
=
9
-
-
-
7
-
12
12
21
-
-
-
-
7
-
12
12
-
18
21
13
+
=
135
1+3+5
=
9
=
9
=
9
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
19
9
7
9
12
12
21
19
-
19
9
7
9
12
12
15
18
21
13
+
=
243
2+4+3
=
9
=
9
=
9
-
1
9
7
9
3
3
3
1
-
1
9
7
9
3
3
6
9
3
4
+
=
90
9+0
=
9
=
9
=
9
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
--
1
-
1
-
-
-
-
-
-
-
--
-
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
-
3
3
3
-
-
-
-
-
-
3
3
-
-
3
-
-
-
3
occurs
x
6
=
18
1+8
9
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
--
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
6
-
--
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
7
-
-
-
--
-
-
-
-
7
-
-
-
-
-
--
-
-
-
9
occurs
x
2
=
14
1+4
5
-
-
9
-
9
-
-
--
-
-
-
9
-
9
-
-
-
9
--
-
-
-
9
occurs
x
5
=
45
4+5
9
18
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
30
-
-
18
-
90
-
36
1+8
-
-
-
-
3
3
3
-
-
-
-
-
-
3
3
-
-
3
-
-
-
3+0
-
-
1+8
-
9+0
-
3+6
9
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
3
-
-
9
-
9
-
9
-
1
9
7
9
3
3
3
1
-
1
9
7
9
3
3
6
9
3
4
-
-
-
-
-
-
-
-
-
-
9
S
I
G
I
L
L
U
S
-
S
I
G
I
L
L
O
R
U
M
-
-
3
-
-
9
-
9
-
9

 

 

18
S
I
G
I
L
L
U
S
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
-
-
-
1
1
9
-
9
-
-
6
-
-
-
+
=
45
4+5
=
9
=
9
=
9
-
19
9
-
9
-
-
-
19
19
9
-
9
-
-
15
-
-
-
+
=
108
1+0+8
=
9
=
9
=
9
18
S
I
G
I
L
L
U
S
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
3
3
3
-
-
-
7
-
3
3
-
9
3
4
+
=
45
4+5
=
9
=
9
=
9
-
-
-
7
-
12
12
21
-
-
-
7
-
12
12
-
18
21
13
+
=
135
1+3+5
=
9
=
9
=
9
18
S
I
G
I
L
L
U
S
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
19
9
7
9
12
12
21
19
19
9
7
9
12
12
15
18
21
13
+
=
243
2+4+3
=
9
=
9
=
9
-
1
9
7
9
3
3
3
1
1
9
7
9
3
3
6
9
3
4
+
=
90
9+0
=
9
=
9
=
9
18
S
I
G
I
L
L
U
S
S
I
G
I
L
L
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
--
1
1
-
-
-
-
-
-
-
--
-
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
-
3
3
3
-
-
-
-
-
3
3
-
-
3
-
-
-
3
occurs
x
6
=
18
1+8
9
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
--
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
6
-
--
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
7
-
-
-
--
-
-
-
7
-
-
-
-
-
--
-
-
-
9
occurs
x
2
=
14
1+4
5
-
-
9
-
9
-
-
--
-
-
9
-
9
-
-
-
9
--
-
-
-
9
occurs
x
5
=
45
4+5
9
18
S
I
G
I
L
L
U
S
S
I
G
I
L
L
O
R
U
M
-
-
30
-
-
18
-
90
-
36
1+8
-
-
-
-
3
3
3
-
-
-
-
-
3
3
-
-
3
-
-
-
3+0
-
-
1+8
-
9+0
-
3+6
9
S
I
G
I
L
L
U
S
S
I
G
I
L
L
O
R
U
M
-
-
3
-
-
9
-
9
-
9
-
1
9
7
9
3
3
3
1
1
9
7
9
3
3
6
9
3
4
-
-
-
-
-
-
-
-
-
-
9
S
I
G
I
L
L
U
S
S
I
G
I
L
L
O
R
U
M
-
-
3
-
-
9
-
9
-
9

 

 

C RE ATUM ATUM RE C

SEE ATUM RE ATUM RE SEE

C RE ATUM ATUM RE C

CREATION SEE REACTION

CREATORS SEE CREATORS

CREATIVE SEE REACTIVE SEE CREATIVE

CREATUM 3951234 CREATUM

CREATUM

3951234

CREATUM

 

 

OSIRIS ISISIS OSIRIS

ISISIS

OSIRIS ISISISISISIS SOIRIS

IRIS OSIRIS ISIS

SO IRIS ISIS SO

OSIRIS ISISIS SO IR IS OSIRIS ISISIS

SO IR IS 99 IS IR SO

?

 

 

From album "Strip" (2000)

I Must have died a thousand times
I Must have died a thousand times
I Must have died a thousand times
Feeling less than human
I surmise
I'm less than human in God's eyes

Time is on my side she said
Time is on my side she said
He may be on your side I said,
But it makes no difference in the end
He's coming after you my friend

I Must have cried a thousand times
I Must have cried a thousand times
I Must have cried a thousand times
Feeling less than human
I surmise
I'm less than human in God's eyes

How time flies
But time is on my side, She said

Oh no no no no, oh no no no no

 

 

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'

 

 

-
-
-
-
-
LULLABY
-
-
-
-
-
-
-
1
L
12
3
3
-
-
-
-
1
U
21
3
3
-
-
-
-
1
L
12
3
3
-
-
-
-
1
L
12
3
3
-
-
-
-
2
A+B
3
3
3
-
-
-
-
1
Y
25
7
7
L
=
3
-
7
LULLABY
85
22
22
-
-
-
-
-
-
8+5
2+2
2+2
L
=
3
-
7
LULLABY
13
4
4
-
-
-
-
-
-
1+3
-
-
L
=
3
-
7
LULLABY
4
4
4

 

 

EVOLVE LOVE LOVE EVOLVE

 

-
EVOLVE LOVE LOVE EVOLVE
-
-
-
-
EVOLVE
-
-
-
2
E+V
27
9
9
2
O+L
27
9
9
2
V+E
27
9
9
-
EVOLVE
-
-
-
-
LOVE
-
-
-
2
L+O
27
9
9
2
V+E
27
9
9
-
LOVE
-
-
-
-
LOVE
-
-
-
2
L+O
27
9
9
2
V+E
27
9
9
-
LOVE
-
-
-
-
EVOLVE
-
-
-
2
E+V
27
9
9
2
O+L
27
9
9
2
V+E
27
9
9
-
EVOLVE
-
-
-
20
EVOLVE LOVE LOVE EVOLVE
270
90
45
2+0
-
2+7+0
9+0
4+5
2
EVOLVE LOVE LOVE EVOLVE
9
9
9
-
-
-
-
-
2
EVOLVE LOVE LOVE EVOLVE
9
9
9

 

REVOLVER EVOLVER LOVER

 

-
-
-
-
-
REVOLVER
-
-
-
-
-
-
-
1
R
18
9
9
-
-
-
-
2
E+V
27
9
9
-
-
-
-
2
O+L
27
9
9
-
-
-
-
2
V+E
27
9
9
-
-
-
-
1
R
18
9
9
R
=
9
-
8
REVOLVER
117
45
45
-
-
-
-
-
EVOLVER
-
-
-
-
-
-
-
2
E+V
27
9
9
-
-
-
-
2
O+L
27
9
9
-
-
-
-
2
V+E
27
9
9
-
-
-
-
1
R
18
9
9
E
=
5
-
7
EVOLVER
99
36
36
-
-
-
-
-
LOVER
-
-
-
-
5
-
-
2
L+O
27
9
9
-
1
-
-
2
V+E
27
9
9
-
1
-
-
1
R
18
9
9
L
=
3
-
5
LOVER
72
27
27
-
-
-
-
-
-
-
-
-
-
-
17
-
20
288
108
108
-
-
1+7
-
2+0
-
2+7+0
1+0+8
1+0+8
-
-
8
-
2
9
9
9

 

REVOLVER EVOLVER LOVER

 

 

WORKS WELL WHEN WATCHED

 

-
-
-
-
-
WORKS
-
-
-
-
-
-
-
1
W
23
5
5
-
-
-
-
1
O
15
6
6
-
-
-
-
1
R
18
9
9
-
-
-
-
1
K
11
2
2
-
-
-
-
1
S
19
10
1
W
=
5
-
5
WORKS
86
32
23
-
-
-
-
-
WELL
-
-
-
-
-
-
-
1
W
23
5
5
-
-
-
-
1
E
5
5
5
-
-
-
-
1
L
12
3
3
-
-
-
-
1
L
12
3
3
W
=
5
-
4
WELL
52
16
16
-
-
-
-
-
WHEN
-
-
-
-
-
-
-
1
W
23
5
5
-
-
-
-
1
H
8
8
8
-
-
-
-
1
E
5
5
5
-
-
-
-
1
N
14
5
5
W
=
5
-
4
WHEN
50
23
23
-
-
-
-
-
WATCHED
-
-
-
-
-
-
-
1
W
23
5
5
-
-
-
-
1
A
1
1
1
-
-
-
-
1
T
20
2
2
-
-
-
-
1
C
3
3
3
-
-
-
-
1
H
8
8
8
-
-
-
-
1
E
5
5
5
-
-
-
-
1
D
4
4
4
W
=
5
-
7
WATCHED
64
28
28
-
-
-
-
-
-
-
-
-
-
-
20
-
20
252
99
90
-
-
2+0
-
2+0
-
2+7+0
9+9
9+0
-
-
2
-
2
9
9
9

 

WORKS WELL WHEN WATCHED

 

 

T
=
1
-
2
TO
35
8
8
B
=
2
-
2
BE
7
7
7
O
=
6
-
2
OR
33
15
6
N
=
1
-
3
NOT
49
13
4
T
=
1
-
2
TO
35
8
8
B
=
2
-
2
BE
7
7
7
T
=
2
-
4
THAT
49
13
4
I
=
9
-
2
IS
28
10
1
T
=
3
-
3
THE
33
15
6
Q
=
8
-
8
QUESTION
120
39
3
-
-
36
-
30
-
396
135
54
-
-
3+6
-
3+0
-
3+9+6
1+3+5
5+4
Q
-
9
Q
3
Q
18
9
9
-
-
-
-
-
-
1+8
-
-
-
-
9
-
3
-
9
9
9

 

 

GODS DIVINE EVERLASTINGNESSEVERLASTINGNESS DIVINE GODS

 

 

-
EVERLASTINGNESS
-
-
-
4
EVER
50
23
5
4
LAST
52
7
7
3
ING
30
21
3
4
NESS
57
12
3
15
EVERLASTINGNESS
189
63
18
1+5
-
1+8+9
1+8
1+8
6
EVERLASTINGNESS
18
9
9
-
-
1+8
-
-
6
EVERLASTINGNESS
9
9
9

 

 

-
15
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
5
-
5
-
1
1
+
=
22
2+2
=
4
=
4
=
4
-
-
-
-
-
-
-
-
19
-
9
14
-
14
-
19
19
+
=
85
8+5
=
13
1+3
4
=
4
-
15
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
5
4
5
9
3
1
-
2
-
-
7
-
5
-
-
+
=
41
4+1
=
5
=
5
=
5
-
-
5
22
5
18
12
1
-
20
-
-
7
-
5
-
-
+
=
104
1+0+4
=
5
=
5
=
5
-
15
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
=
-
-
-
-
-
5
22
5
18
12
1
19
20
9
14
7
14
5
19
19
+
=
189
1+8+9
=
18
1+8
9
=
9
-
-
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
+
=
63
6+3
=
9
=
9
=
9
-
15
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
-
-
-
-
1
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
-
-
-
-
-
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
5
-
-
-
-
5
occurs
x
5
=
25
2+5
7
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
14
15
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
31
-
-
15
-
63
-
36
1+4
1+5
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
3+1
-
-
1+5
-
6+3
-
3+6
5
6
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9
-
-
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
-
-
-
1
-
-
-
-
-
-
5
6
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9

 

 

E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
5
-
5
-
1
1
+
=
22
2+2
=
4
=
4
=
4
-
-
-
-
-
-
19
-
9
14
-
14
-
19
19
+
=
85
8+5
=
13
1+3
4
=
4
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
5
4
5
9
3
1
-
2
-
-
7
-
5
-
-
+
=
41
4+1
=
5
=
5
=
5
5
22
5
18
12
1
-
20
-
-
7
-
5
-
-
+
=
104
1+0+4
=
5
=
5
=
5
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
=
-
-
-
5
22
5
18
12
1
19
20
9
14
7
14
5
19
19
+
=
189
1+8+9
=
18
1+8
9
=
9
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
+
=
63
6+3
=
9
=
9
=
9
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
-
-
-
-
-
-
1
1
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
-
-
-
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
5
-
-
-
-
5
occurs
x
5
=
25
2+5
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
31
-
-
15
-
63
-
36
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
3+1
-
-
1+5
-
6+3
-
3+6
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
-
-
-
1
-
-
-
-
-
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9

 

 

-
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
+
5
-
+
-
-
-
-
-
-
1
-
9
5
-
5
-
1
1
+
=
41
4+1
=
5
=
5
=
5
-
-
-
-
-
7
14
9
-
-
-
+
14
-
+
-
-
-
-
-
-
19
-
9
14
-
14
-
19
19
+
=
131
1+3+1
=
5
=
5
=
5
-
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
+
-
5
2
5
9
-
+
2
7
+
1
-
4
+
5
4
5
9
3
1
-
2
-
-
7
-
5
-
-
+
=
76
7+6
=
13
1+3
4
=
4
+
-
5
20
5
18
-
+
20
25
+
1
-
4
+
5
22
5
18
12
1
-
20
-
-
7
-
5
-
-
+
=
193
1+9+3
=
13
1+3
4
=
4
-
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
+
-
5
20
5
18
14
9
20
25
+
1
14
4
+
5
22
5
18
12
1
19
20
9
14
7
14
5
19
19
+
=
324
3+2+4
=
9
=
9
=
9
+
-
5
2
5
9
5
9
2
7
+
1
5
4
+
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
+
=
117
1+1+7
=
9
=
9
=
9
-
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
1
-
-
-
-
-
-
1
1
-
-
1
occurs
x
5
=
5
=
5
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
7
-
-
-
-
-
-
-
4
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
5
-
5
-
5
-
-
-
-
-
5
-
-
5
-
5
-
-
-
-
-
-
5
-
5
5
-
-
-
-
5
occurs
x
9
=
45
4+5
9
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
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
14
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
31
-
-
15
-
63
-
45
1+4
2+6
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
3+1
-
-
1+5
-
6+3
-
4+5
5
8
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9
-
-
5
2
5
9
5
9
2
7
-
1
5
4
-
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
-
-
-
1
-
-
-
-
-
-
5
8
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9

 

 

6
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
+
5
-
+
-
-
-
-
-
-
1
-
9
5
-
5
-
1
1
+
=
41
4+1
=
5
=
5
=
5
-
-
-
-
7
14
9
-
-
-
+
14
-
+
-
-
-
-
-
-
19
-
9
14
-
14
-
19
19
+
=
131
1+3+1
=
5
=
5
=
5
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
5
2
5
9
-
+
2
7
+
1
-
4
+
5
4
5
9
3
1
-
2
-
-
7
-
5
-
-
+
=
76
7+6
=
13
1+3
4
=
4
-
5
20
5
18
-
+
20
25
+
1
-
4
+
5
22
5
18
12
1
-
20
-
-
7
-
5
-
-
+
=
193
1+9+3
=
13
1+3
4
=
4
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
5
20
5
18
14
9
20
25
+
1
14
4
+
5
22
5
18
12
1
19
20
9
14
7
14
5
19
19
+
=
324
3+2+4
=
9
=
9
=
9
-
5
2
5
9
5
9
2
7
+
1
5
4
+
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
+
=
117
1+1+7
=
9
=
9
=
9
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
1
-
-
-
-
-
-
1
1
-
-
1
occurs
x
5
=
5
=
5
-
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
7
-
-
-
-
-
-
-
4
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
5
-
5
-
5
-
-
-
-
-
5
-
-
5
-
5
-
-
-
-
-
-
5
-
5
5
-
-
-
-
5
occurs
x
9
=
45
4+5
9
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
9
occurs
x
4
=
36
3+6
9
26
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
31
-
-
15
-
63
-
45
2+6
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
3+1
-
-
1+5
-
6+3
-
4+5
8
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9
-
5
2
5
9
5
9
2
7
-
1
5
4
-
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
-
-
-
1
-
-
-
-
-
-
8
E
T
E
R
N
I
T
Y
-
A
N
D
-
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9

 

 

6
E
T
E
R
N
I
T
Y
A
N
D
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
+
5
-
-
-
-
-
-
-
1
-
9
5
-
5
-
1
1
+
=
41
4+1
=
5
=
5
=
5
-
-
-
-
7
14
9
-
-
+
14
-
-
-
-
-
-
-
19
-
9
14
-
14
-
19
19
+
=
131
1+3+1
=
5
=
5
=
5
26
E
T
E
R
N
I
T
Y
A
N
D
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
5
2
5
9
-
+
2
7
1
-
4
5
4
5
9
3
1
-
2
-
-
7
-
5
-
-
+
=
76
7+6
=
13
1+3
4
=
4
-
5
20
5
18
-
+
20
25
1
-
4
5
22
5
18
12
1
-
20
-
-
7
-
5
-
-
+
=
193
1+9+3
=
13
1+3
4
=
4
26
E
T
E
R
N
I
T
Y
A
N
D
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
5
20
5
18
14
9
20
25
1
14
4
5
22
5
18
12
1
19
20
9
14
7
14
5
19
19
+
=
324
3+2+4
=
9
=
9
=
9
-
5
2
5
9
5
9
2
7
1
5
4
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
+
=
117
1+1+7
=
9
=
9
=
9
26
E
T
E
R
N
I
T
Y
A
N
D
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
1
-
-
-
-
-
-
1
1
-
-
1
occurs
x
5
=
5
=
5
-
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
7
-
-
-
-
-
-
4
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
5
-
5
-
5
-
-
-
-
5
-
5
-
5
-
-
-
-
-
-
5
-
5
5
-
-
-
-
5
occurs
x
9
=
45
4+5
9
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
9
occurs
x
4
=
36
3+6
9
26
E
T
E
R
N
I
T
Y
A
N
D
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
31
-
-
15
-
63
-
45
2+6
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
-
-
-
-
-
3+1
-
-
1+5
-
6+3
-
4+5
8
E
T
E
R
N
I
T
Y
A
N
D
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9
-
5
2
5
9
5
9
2
7
1
5
4
5
4
5
9
3
1
1
2
9
5
7
5
5
1
1
-
-
-
1
-
-
-
-
-
-
8
E
T
E
R
N
I
T
Y
A
N
D
E
V
E
R
L
A
S
T
I
N
G
N
E
S
S
-
-
4
-
-
6
-
9
-
9

 

 

 
 
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