{
  "table": "T675",
  "purpose": "Verify the corrected displayed Hensel condition",
  "policy": {
    "manifest": "agents/runs/20261102T111650Z-repair-skills/manifest.json",
    "local_sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278",
    "live_sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278"
  },
  "versions": {
    "sage": "10.9",
    "python": "3.12.3",
    "numberdb": "0.1.10"
  },
  "document_sha256": "a42fd517126179c7a524e4a25a75c3e7db2e715ef46b937c96f2f19707eb317a",
  "frobenius_input_sha256": "6698233018b4747c1035ca8fdade031f038b7508673c8baa28925b13be4f92a4",
  "controls": {
    "known_root_2": true,
    "singular_root_rejected": true,
    "nonroot_rejected": true
  },
  "checked_entries": 358,
  "all_root_residuals_zero": true,
  "all_derivatives_nonzero_mod_p": true,
  "all_inverse_residues_annihilate_P": true,
  "all_moduli_minimal_for_100_decimal_digits": true,
  "exponent_min": 68,
  "exponent_max": 210,
  "limitation": "Factors are the unchanged reviewed input; this repair does not recompute Frobenius factors or alter stored values.",
  "results": [
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "2.2.2.2",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.2.2",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.2.2",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "2.2.2.2",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.2.2",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 20
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 14
    },
    {
      "template": "2.2.2.2",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 9
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 23
    },
    {
      "template": "2.2.3",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 18
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 23
    },
    {
      "template": "2.2.3",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "2.2.3",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.3",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "2.2.3",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.3",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "2.2.3",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 22
    },
    {
      "template": "2.2.3",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.3",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 17
    },
    {
      "template": "2.2.4",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 19
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "2.2.4",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "2.2.4",
      "z": "2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.4",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.4",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.4",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.4",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "2.2.4",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.4",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 30
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 18
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 17
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 22
    },
    {
      "template": "2.2.6",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 14
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 20
    },
    {
      "template": "2.2.6",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 27
    },
    {
      "template": "2.2.6",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.6",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.6",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "2.2.6",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "2.2.6",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.6",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "2.2.6",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 30
    },
    {
      "template": "3.3",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.3",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.3",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.3",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.3",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 13
    },
    {
      "template": "3.3",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 30
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.3",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "3.3",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.4",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.4",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.4",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.4",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "3.4",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "3.4",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.4",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 9
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 18
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.4",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.4",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 9
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 17
    },
    {
      "template": "3.6",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 14
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 14
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "3.6",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 27
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "3.6",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 23
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 19
    },
    {
      "template": "4.4",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 9
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 18
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 17
    },
    {
      "template": "4.4",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 27
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 19
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 9
    },
    {
      "template": "4.4",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "4.6",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "4.6",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 13
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 17
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 28
    },
    {
      "template": "4.6",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "6.6",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 23
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "6.6",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 13
    },
    {
      "template": "6.6",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 3
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 13
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 22
    },
    {
      "template": "5",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 30
    },
    {
      "template": "5",
      "z": "-1",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "5",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 6
    },
    {
      "template": "5",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "5",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "5",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "5",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "5",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "5",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 22
    },
    {
      "template": "5",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 29
    },
    {
      "template": "5",
      "z": "2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "5",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "5",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "5",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "5",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "5",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 18
    },
    {
      "template": "5",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "5",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 27
    },
    {
      "template": "5",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 30
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "8",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "-1",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "8",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "8",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "8",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 22
    },
    {
      "template": "8",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 28
    },
    {
      "template": "8",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 9
    },
    {
      "template": "8",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 5
    },
    {
      "template": "8",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "8",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "8",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 22
    },
    {
      "template": "8",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 29
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 7
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 18
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "10",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "-1",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "10",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "10",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "10",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 17
    },
    {
      "template": "10",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 20
    },
    {
      "template": "10",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "10",
      "z": "2",
      "p": 3,
      "N": 210,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 4
    },
    {
      "template": "10",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "10",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "10",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "10",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "10",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "10",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 29
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 22
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 20
    },
    {
      "template": "12",
      "z": "1/2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 15
    },
    {
      "template": "12",
      "z": "-1",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "-1",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "-1",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "-1",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "12",
      "z": "-1",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "12",
      "z": "-1",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "12",
      "z": "-1",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 10
    },
    {
      "template": "12",
      "z": "-1",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 26
    },
    {
      "template": "12",
      "z": "-1",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 16
    },
    {
      "template": "12",
      "z": "2",
      "p": 5,
      "N": 144,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "2",
      "p": 7,
      "N": 119,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "2",
      "p": 11,
      "N": 97,
      "Q_mod_pN": 0,
      "derivative_mod_p": 1
    },
    {
      "template": "12",
      "z": "2",
      "p": 13,
      "N": 90,
      "Q_mod_pN": 0,
      "derivative_mod_p": 12
    },
    {
      "template": "12",
      "z": "2",
      "p": 17,
      "N": 82,
      "Q_mod_pN": 0,
      "derivative_mod_p": 13
    },
    {
      "template": "12",
      "z": "2",
      "p": 19,
      "N": 79,
      "Q_mod_pN": 0,
      "derivative_mod_p": 11
    },
    {
      "template": "12",
      "z": "2",
      "p": 23,
      "N": 74,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    },
    {
      "template": "12",
      "z": "2",
      "p": 29,
      "N": 69,
      "Q_mod_pN": 0,
      "derivative_mod_p": 8
    },
    {
      "template": "12",
      "z": "2",
      "p": 31,
      "N": 68,
      "Q_mod_pN": 0,
      "derivative_mod_p": 2
    }
  ]
}