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141089 bytes, as of the version from 2026-11-02 02:40 (current). Recorded here, not run.
{
"interpretation": "Full cohomology partitioned into Galois character orbits; equal factors retain separate occurrences; no simplicity claim.",
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"representative": [
2,
4
]
},
{
"d": 8,
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1,
-36,
502,
-3204,
7921
],
"holomorphic_pairs": [
[
4,
1
],
[
4,
3
]
],
"pairs": [
[
4,
1
],
[
4,
3
],
[
4,
5
],
[
4,
7
]
],
"representative": [
4,
1
]
},
{
"d": 4,
"factor_coefficients": [
1,
-10,
89
],
"holomorphic_pairs": [
[
4,
2
]
],
"pairs": [
[
4,
2
],
[
4,
6
]
],
"representative": [
4,
2
]
}
],
"p": 89
},
{
"N": 8,
"orbits": [
{
"d": 8,
"factor_coefficients": [
1,
20,
294,
1940,
9409
],
"holomorphic_pairs": [
[
1,
1
],
[
3,
3
]
],
"pairs": [
[
1,
1
],
[
3,
3
],
[
5,
5
],
[
7,
7
]
],
"representative": [
1,
1
]
},
{
"d": 8,
"factor_coefficients": [
1,
36,
518,
3492,
9409
],
"holomorphic_pairs": [
[
1,
2
],
[
5,
2
]
],
"pairs": [
[
1,
2
],
[
3,
6
],
[
5,
2
],
[
7,
6
]
],
"representative": [
1,
2
]
},
{
"d": 8,
"factor_coefficients": [
1,
-20,
294,
-1940,
9409
],
"holomorphic_pairs": [
[
1,
3
],
[
3,
1
]
],
"pairs": [
[
1,
3
],
[
3,
1
],
[
5,
7
],
[
7,
5
]
],
"representative": [
1,
3
]
},
{
"d": 8,
"factor_coefficients": [
1,
-20,
294,
-1940,
9409
],
"holomorphic_pairs": [
[
1,
4
],
[
3,
4
]
],
"pairs": [
[
1,
4
],
[
3,
4
],
[
5,
4
],
[
7,
4
]
],
"representative": [
1,
4
]
},
{
"d": 8,
"factor_coefficients": [
1,
36,
518,
3492,
9409
],
"holomorphic_pairs": [
[
1,
5
],
[
5,
1
]
],
"pairs": [
[
1,
5
],
[
3,
7
],
[
5,
1
],
[
7,
3
]
],
"representative": [
1,
5
]
},
{
"d": 8,
"factor_coefficients": [
1,
20,
294,
1940,
9409
],
"holomorphic_pairs": [
[
1,
6
],
[
3,
2
]
],
"pairs": [
[
1,
6
],
[
3,
2
],
[
5,
6
],
[
7,
2
]
],
"representative": [
1,
6
]
},
{
"d": 8,
"factor_coefficients": [
1,
36,
518,
3492,
9409
],
"holomorphic_pairs": [
[
2,
1
],
[
2,
5
]
],
"pairs": [
[
2,
1
],
[
2,
5
],
[
6,
3
],
[
6,
7
]
],
"representative": [
2,
1
]
},
{
"d": 4,
"factor_coefficients": [
1,
-18,
97
],
"holomorphic_pairs": [
[
2,
2
]
],
"pairs": [
[
2,
2
],
[
6,
6
]
],
"representative": [
2,
2
]
},
{
"d": 8,
"factor_coefficients": [
1,
20,
294,
1940,
9409
],
"holomorphic_pairs": [
[
2,
3
],
[
6,
1
]
],
"pairs": [
[
2,
3
],
[
2,
7
],
[
6,
1
],
[
6,
5
]
],
"representative": [
2,
3
]
},
{
"d": 4,
"factor_coefficients": [
1,
-18,
97
],
"holomorphic_pairs": [
[
2,
4
]
],
"pairs": [
[
2,
4
],
[
6,
4
]
],
"representative": [
2,
4
]
},
{
"d": 8,
"factor_coefficients": [
1,
-20,
294,
-1940,
9409
],
"holomorphic_pairs": [
[
4,
1
],
[
4,
3
]
],
"pairs": [
[
4,
1
],
[
4,
3
],
[
4,
5
],
[
4,
7
]
],
"representative": [
4,
1
]
},
{
"d": 4,
"factor_coefficients": [
1,
-18,
97
],
"holomorphic_pairs": [
[
4,
2
]
],
"pairs": [
[
4,
2
],
[
4,
6
]
],
"representative": [
4,
2
]
}
],
"p": 97
}
],
"table": "T666"
}