back to table · edit · history · where entries came from · files · download
4746 bytes, as of the version from 2026-11-09 14:49 (current). Recorded here, not run.
{
"table": "T690",
"forms": [
{
"k": 12,
"i": 1,
"sturm_bound": 1,
"a2": "-24",
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
12,
14,
16,
18,
20,
22
]
},
{
"k": 16,
"i": 1,
"sturm_bound": 1,
"a2": "216",
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
13,
15,
16,
18,
20,
22,
24,
26,
28,
30
]
},
{
"k": 18,
"i": 1,
"sturm_bound": 1,
"a2": "-528",
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
13,
15,
17,
18,
20,
22,
24,
26,
28,
30,
32,
34
]
},
{
"k": 20,
"i": 1,
"sturm_bound": 1,
"a2": "456",
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
13,
15,
17,
19,
20,
22,
24,
26,
28,
30,
32,
34,
36,
38
]
},
{
"k": 22,
"i": 1,
"sturm_bound": 1,
"a2": "-288",
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
13,
15,
17,
19,
21,
22,
24,
26,
28,
30,
32,
34,
36,
38,
40,
42
]
},
{
"k": 24,
"i": 1,
"sturm_bound": 2,
"a2": {
"polynomial": "x^2-1080*x-20468736",
"isolating_interval": [
-4017,
-4016
]
},
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
],
[
0,
1
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
13,
15,
17,
19,
21,
23,
24,
26,
28,
30,
32,
34,
36,
38,
40,
42,
44,
46
]
},
{
"k": 24,
"i": 2,
"sturm_bound": 2,
"a2": {
"polynomial": "x^2-1080*x-20468736",
"isolating_interval": [
5096,
5097
]
},
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
],
[
0,
1
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
13,
15,
17,
19,
21,
23,
24,
26,
28,
30,
32,
34,
36,
38,
40,
42,
44,
46
]
},
{
"k": 26,
"i": 1,
"sturm_bound": 2,
"a2": "-48",
"coefficients_0_through_sturm_as_pairs": [
[
0,
0
],
[
1,
0
],
[
-48,
0
]
],
"pair_meaning": "A+B*a2",
"critical_integers": [
1,
3,
5,
7,
9,
11,
13,
15,
17,
19,
21,
23,
25,
26,
28,
30,
32,
34,
36,
38,
40,
42,
44,
46,
48,
50
]
}
]
}