{
  "timestamp": "2026-09-12T12:01:26.394086+00:00",
  "scope": "Exact common-kernel constraints and finite-band coherent reconstruction.\n\nThe harmonic decomposition concerns an auxiliary mode-ray fibre. It is\nnot a choice of physical spatial topology or an added spatial dimension.\n",
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    {
      "degree": 1,
      "depth": 6,
      "inverse_highest_harmonic": "8",
      "inverse_norm": 7.0,
      "smooth_norm": 1.75
    },
    {
      "degree": 4,
      "depth": 6,
      "inverse_highest_harmonic": "1001",
      "inverse_norm": 210.0,
      "smooth_norm": 14.685314685314685
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    {
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      "depth": 6,
      "inverse_highest_harmonic": "86493225",
      "inverse_norm": 18564.0,
      "smooth_norm": 580.3917241379311
    },
    {
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      "depth": 6,
      "inverse_highest_harmonic": "1373222113855042069878",
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      "smooth_norm": 79530.89615716934
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  ],
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      "fixed_scalar_coefficients": [
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        "4",
        "-1",
        "76",
        "-2201",
        "113156"
      ],
      "free_scalar_positive_intervals": [
        {
          "last_degree": 1,
          "lower": "0",
          "upper": "3"
        },
        {
          "last_degree": 2,
          "lower": "14/13",
          "upper": "3"
        },
        {
          "last_degree": 3,
          "lower": "14/13",
          "upper": "70/51"
        },
        {
          "last_degree": 4,
          "lower": "8450/6249",
          "upper": "70/51"
        },
        {
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          "lower": "8450/6249",
          "upper": "217007/160429"
        },
        {
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          "lower": "4815936/3560443",
          "upper": "217007/160429"
        },
        {
          "last_degree": 7,
          "lower": "4815936/3560443",
          "upper": "923297817/682600946"
        }
      ],
      "scope": "All consecutive degrees shown, not only the assigned particle indices."
    },
    {
      "depth": 3,
      "fixed_scalar_coefficients": [
        "1",
        "5",
        "7/2",
        "87/2",
        "-979",
        "314327/7"
      ],
      "free_scalar_positive_intervals": [
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          "lower": "0",
          "upper": "4"
        },
        {
          "last_degree": 2,
          "lower": "5/8",
          "upper": "4"
        },
        {
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          "lower": "5/8",
          "upper": "569/424"
        },
        {
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          "lower": "5992/4657",
          "upper": "569/424"
        },
        {
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          "lower": "5992/4657",
          "upper": "323588/251051"
        },
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    },
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        },
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          "lower": "7659/9064",
          "upper": "264/239"
        },
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          "lower": "7659/9064",
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        },
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        "1/7",
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      "free_scalar_positive_intervals": [
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        },
        {
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          "lower": "0",
          "upper": "7"
        },
        {
          "last_degree": 3,
          "lower": "0",
          "upper": "447/446"
        },
        {
          "last_degree": 4,
          "lower": "12625/24088",
          "upper": "447/446"
        },
        {
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          "lower": "12625/24088",
          "upper": "208472/377387"
        },
        {
          "last_degree": 6,
          "lower": "20482639/37132904",
          "upper": "208472/377387"
        },
        {
          "last_degree": 7,
          "lower": "20482639/37132904",
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      "scope": "All consecutive degrees shown, not only the assigned particle indices."
    },
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        "40",
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      "free_scalar_positive_intervals": [
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        {
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        },
        {
          "last_degree": 3,
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        },
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        },
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      "scope": "All consecutive degrees shown, not only the assigned particle indices."
    }
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      "target_degrees": [
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        34
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      "harmonic": 1,
      "ratio_without_target_deconvolution": 1.275
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    {
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      "harmonic": 2,
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        34
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  ],
  "checks": 815,
  "source_sha256": {
    "coherent_kernel_inverse_checks.py": "52844679a6f3287ae369f2acff2425209c647884d104a954f0ec7c2cfa7553dc",
    "graded_current_tower.py": "cf0f72cb6d078df086ec594550155d6518b00255ed46a16d669790edb093a602",
    "coherent_mode_algebra.py": "4fbcbb6a1fbaa5a1a7de387746eda4d00f69fe22bbdb1e906c8795f8bb786dff"
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}