{
  "interpretation": "Full cohomology partitioned into Galois character orbits; equal factors retain separate occurrences; no simplicity claim.",
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              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"
}