7
(4* i, in) is always etc., so
that the sign of H1- in is positive if the numbers of triangles is
even, and negative if that number is odd.
The (9 4) are given separately (see later).
As an example the abridged tensor of a five triangle chain is
given. A 288. To find the real value of the cofactor the numbers
must be divided by 288. n 22.
m
X
6 tt 6
X
The outlined number in a column 4 indicates that the is
obtained by multiplying the quantity H1-^ by this number. This is
clear from property 5.
E.g. e3, e8 (indicated by x) 2-e1, e8 2.3 =+6.
These numbers are equal to the H1 in_i (2 1 s*p1 incl.)
in absolute value. Their signs are the same if the number of triangles
(p) is even, and opposite if this number is odd.
It is seen, that property 3 is disturbed by
(9 4)i=- A.Hf-n 1 (<p 4).
However the abridged form can be maintained, both numbers
being placed on the diagonal (P —>Q in scheme 9).
Now it is easy to write out the rows, scale II being the scale of cp
e.g.: Hi-^. The line from A to B is followed (as in scheme 9) via
the top-number in 4, 4, and then in reverse with opposite sign
via the bottom-number in 4, 4 the sign of which is always positive.
I 1|
6I
17'l
1-211
+631
To write out the row H19 one has to keep in mind, that
6
7
8
9
10
11
6
7
8
9
10
11
17
16
15
14
13
12
17
16
15
14
13
12
R
11
12
-.'1
22
1 11
12
22
1
10
13
1
21
2 10
13
21
2
9
14
2
20
3 9
14
r'
20
3
8
15
X
- 3
19
4 8
15
19
4
7
16
- 5
18
5 7
16
18
5
6
17
+224
5
3
- 2
- 1
8
17
17
17
6
5
18
+211
79
13
16
7 5
18
16
7
4
19
+225
63
- 21
15
8 4
19
15
8
20
14
9
3
20
+212
- 54
14
9 5
2
21
+233
55
55
13
10 2
21
R
13
10
22
R
12
11
1
22
+235
55
12
11 1
17
18
19
20
21
22
Q
17
18
19
20
21
22
6
5
4
5
2
1
6
5
4
3
2
1
I
21
I 3| 4
5J
7-1
8.
9-
10.
11 j 12
13-1
14.1
151
16
181
191
20J
21J
22.
4
+21
+42I+225
I+39
+24
-15
-9
+6
+3
-3 i +3
-3
-6
+9
+15
-24
-39
-42
-21
+21
