A126270 - cp's OEIS frontend

A126270 a(n) = order of Galois group of the polynomial P(x) + n if P(x) + n (after dividing by the gcd of its coefficients) is irreducible, otherwise a(n) = 0, where P(x) = x^8 - 8x^6 + 20x^4 - 16*x^2 + 2.

n	a(n)
0	8
1	0
2	0
3	32
4	32
5	32
6	16
7	16
8	32
9	32
10	32
11	32
12	32
13	32
14	16
15	32
16	16
17	32
18	32
19	32
20	32
21	32
22	32
23	16
24	32
25	32
26	32
27	32
28	32
29	32
30	16
31	32
32	32
33	32
34	0
35	32
36	32
37	32
38	32
39	32
40	32
41	32
42	32
43	32
44	32
45	32
46	32
47	8
48	16
49	32
50	32
51	32
52	32
53	32
54	32
55	32
56	32
57	32
58	32
59	32
60	32
61	32
62	16
63	32
64	32
65	32
66	32
67	32
68	32
69	32
70	16

[8, 0, 0, 32, 32, 32, 16, 16, 32, 32, 32, 32, 32, 32, 16, 32, 16, 32, 32, 32, 32, 32, 32, 16, 32, 32, 32, 32, 32, 32, 16, 32, 32, 32, 0, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 8, 16, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 16, 32, 32, 32, 32, 32, 32, 32, 16]

cp's OEIS Frontend

A126270 a(n) = order of Galois group of the polynomial P(x) + n if P(x) + n (after dividing by the gcd of its coefficients) is irreducible, otherwise a(n) = 0, where P(x) = x^8 - 8x^6 + 20x^4 - 16*x^2 + 2.

Table of values

List of values

n	a(n)
0	8
1	0
2	0
3	32
4	32
5	32
6	16
7	16
8	32
9	32
10	32
11	32
12	32
13	32
14	16
15	32
16	16
17	32
18	32
19	32
20	32
21	32
22	32
23	16
24	32
25	32
26	32
27	32
28	32
29	32
30	16
31	32
32	32
33	32
34	0
35	32
36	32
37	32
38	32
39	32
40	32
41	32
42	32
43	32
44	32
45	32
46	32
47	8
48	16
49	32
50	32
51	32
52	32
53	32
54	32
55	32
56	32
57	32
58	32
59	32
60	32
61	32
62	16
63	32
64	32
65	32
66	32
67	32
68	32
69	32
70	16

n	a(n)
0	8
1	0
2	0
3	32
4	32
5	32
6	16
7	16
8	32
9	32
10	32
11	32
12	32
13	32
14	16
15	32
16	16
17	32
18	32
19	32
20	32
21	32
22	32
23	16
24	32
25	32
26	32
27	32
28	32
29	32
30	16
31	32
32	32
33	32
34	0
35	32
36	32
37	32
38	32
39	32
40	32
41	32
42	32
43	32
44	32
45	32
46	32
47	8
48	16
49	32
50	32
51	32
52	32
53	32
54	32
55	32
56	32
57	32
58	32
59	32
60	32
61	32
62	16
63	32
64	32
65	32
66	32
67	32
68	32
69	32
70	16

cp's OEIS Frontend

A126270 a(n) = order of Galois group of the polynomial P(x) + n if P(x) + n (after dividing by the gcd of its coefficients) is irreducible, otherwise a(n) = 0, where P(x) = x^8 - 8*x^6 + 20*x^4 - 16*x^2 + 2.

Table of values

List of values

A126270 a(n) = order of Galois group of the polynomial P(x) + n if P(x) + n (after dividing by the gcd of its coefficients) is irreducible, otherwise a(n) = 0, where P(x) = x^8 - 8x^6 + 20x^4 - 16*x^2 + 2.

n	a(n)
0	8
1	0
2	0
3	32
4	32
5	32
6	16
7	16
8	32
9	32
10	32
11	32
12	32
13	32
14	16
15	32
16	16
17	32
18	32
19	32
20	32
21	32
22	32
23	16
24	32
25	32
26	32
27	32
28	32
29	32
30	16
31	32
32	32
33	32
34	0
35	32
36	32
37	32
38	32
39	32
40	32
41	32
42	32
43	32
44	32
45	32
46	32
47	8
48	16
49	32
50	32
51	32
52	32
53	32
54	32
55	32
56	32
57	32
58	32
59	32
60	32
61	32
62	16
63	32
64	32
65	32
66	32
67	32
68	32
69	32
70	16