Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., late sadlerian professor of pure mathematics in the University of Cambridge (Vol. 10)

416 CALCULATION OF THE MINIMUM N.G.F. OF THE BINARY SEVENTHIC. 
[696 
Calculation of the X’s. 
Ind. x even or odd according as suffix X is even or odd. 
°1 
2 3 
4 5 
6 7 
8 9 
i°n 
12 13 
14 
1 
1 
3 
— 
1 
— 
1 
- 
3 
- 
4 
- 
8 
— 
11 
1 
1 
2 
3 
5 
7 
11 
14 
- 
1 
- 
1 
- 
2 
- 
2 
- 
4 
- 
4 
- 
6 
X 0 = 
1 
0 
0 
0 
0 
0 
0 
0 
1 
1 
3 
-1 
— 
1 
- 
3 
— 
4 
- 
8 
- 
11 
- 
18 
3 
5 
7 
11 
14 
20 
26 
- 2 
- 
4 
- 
4 
- 
6 
- 
7 
* 
10 
- 
11 
0 
0 
0 
+ 
1 
0 
0 
0 
1 
1 
3 
5 
- 1 
— 
3 
- 
4 
- 
8 
- 
11 
- 
18 
- 
24 
- 
36 
7 
11 
14 
20 
26 
35 
44 
58 
- 6 
- 
7 
- 
10 
- 
11 
- 
16 
- 
17 
- 
23 
- 
26 
0 
+ 
1 
0 
+ 
1 
0 
■f* 
1 
0 
4" 
1 
1 
1 
3 
5 
- 4 
- 
8 
- 
11 
- 
18 
- 
24 
- 
36 
- 
47 
20 
26 
35 
44 
58 
71 
90 
- 16 
- 
17 
- 
23 
- 
26 
- 
33 
- 
37 
- 
47 
x,= 
0 
+ 
1 
+ 
1 
+ 
1 
+ 
2 
+ 
1 
+ 
1 
1 
1 
3 
5 
9 
- 8 
— 
11 
- 
18 
- 
24 
- 
36 
- 
47 
- 
66 
- 
84 
35 
44 
58 
71 
90 
110 
136 
163 
- 26 
- 
33 
- 
37 
- 
47 
- 
52 
- 
64 
- 
72 
- 
86 
X\ ~ 
1 
0 
+ 
3 
+ 
1 
+ 
3 
+ 
2 
+ 
3 
+ 
2 
1 
1 
3 
5 
9 
- 18 
- 
24 
- 
36 
- 
47 
- 
66 
- 
84 
- 
113 
71 
90 
110 
136 
163 
199 
235 
- 52 
- 
64 
- 
72 
- 
86 
- 
96 
- 
115 
- 
127 
X 5 = 
1 
"f* 
2 
+ 
3 
+ 
4 
+ 
4 
+ 
5 
+ 
4
	        
Waiting...

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