{
  "status": "passed",
  "scope": "Declared mathematical analogues; no IDWT particle or mass fit.",
  "frequency_units": {
    "input_reference": "Existing fixed benchmarks in experiments/idwt-v2.py; no new mass data or integer fit.",
    "electron_anchor_energy_eV": 27.526338612368022,
    "families": [
      {
        "dimension": 2,
        "particles": [
          "W",
          "Z",
          "H"
        ],
        "counts": [
          2926,
          3321,
          4560
        ],
        "individual_energy_units_eV": [
          27467259.05673274,
          27457994.5799458,
          27456140.350877192
        ],
        "geometric_mean_unit_eV": 27460464.231841918,
        "inverse_scale_ratio_to_electron": 1.0023988808044154e-06,
        "fractional_unit_residuals": [
          0.00024744027753698106,
          -8.993481957442206e-05,
          -0.00015745840741154815
        ]
      },
      {
        "dimension": 3,
        "particles": [
          "down",
          "strange",
          "bottom"
        ],
        "counts": [
          1,
          20,
          889.2153844822974
        ],
        "individual_energy_units_eV": [
          4700000.0,
          4675000.0,
          4704147.131277254
        ],
        "geometric_mean_unit_eV": 4693031.363477902,
        "inverse_scale_ratio_to_electron": 5.865364298773589e-06,
        "fractional_unit_residuals": [
          0.0014848902516035878,
          -0.003842157036968774,
          0.002368568828637674
        ]
      },
      {
        "dimension": 4,
        "particles": [
          "up",
          "charm",
          "top"
        ],
        "counts": [
          15,
          8855,
          1215450
        ],
        "individual_energy_units_eV": [
          144000.0,
          143760.58723884812,
          141980.33650088444
        ],
        "geometric_mean_unit_eV": 143244.13321042532,
        "inverse_scale_ratio_to_electron": 0.00019216381149747956,
        "fractional_unit_residuals": [
          0.005276773105006072,
          0.003605411382985757,
          -0.008822676930749895
        ]
      },
      {
        "dimension": 6,
        "particles": [
          "electron",
          "muon"
        ],
        "counts": [
          18564,
          3838380
        ],
        "individual_energy_units_eV": [
          27.526338612368022,
          27.526814828130618
        ],
        "geometric_mean_unit_eV": 27.526576719219495,
        "inverse_scale_ratio_to_electron": 0.9999913499286925,
        "fractional_unit_residuals": [
          -8.650071307458873e-06,
          8.650146131605752e-06
        ]
      },
      {
        "dimension": 10,
        "particles": [
          "tau"
        ],
        "counts": [
          64512240
        ],
        "individual_energy_units_eV": [
          27.54407535686251
        ],
        "geometric_mean_unit_eV": 27.544075356862507,
        "inverse_scale_ratio_to_electron": 0.9993560595422178,
        "fractional_unit_residuals": [
          2.220446049250313e-16
        ]
      }
    ],
    "neutrinos": {
      "counts": [
        2002.0,
        11628.0,
        65780.0
      ],
      "solar_unit_eV": 7.57576739172245e-07,
      "atmospheric_unit_eV": 7.650562547396231e-07,
      "inverse_solar_ratio": 36334719.88916168,
      "inverse_atmospheric_ratio": 35979496.20284622
    },
    "radius_condition": "Length ratios also contain gamma_d/gamma_6 from the actual spatial operator."
  },
  "oscillator": {
    "dimension": 2,
    "target_degree": 4,
    "amplitude": 0.3,
    "wavevectors": [
      [
        0.5,
        0.7071067811865476
      ],
      [
        0.8660254037844386,
        0.5
      ],
      [
        1.118033988749895,
        1.3228756555322954
      ]
    ],
    "records": [
      {
        "cutoff": 16,
        "phases": [
          0,
          0.7,
          1.3
        ],
        "state_count": 15,
        "local_projector": 0.8048659615932348,
        "normalized_probe": 0.6880727498590689,
        "occupied_energy_sum": 41.04197030022594,
        "gap": 0.8241755399667348,
        "perturbation_norm": 0.270905022311265
      },
      {
        "cutoff": 16,
        "phases": [
          0.4,
          1.1,
          -0.2
        ],
        "state_count": 15,
        "local_projector": 0.7919242787218204,
        "normalized_probe": 0.7042999887878549,
        "occupied_energy_sum": 40.77372678369195,
        "gap": 0.8265734062141981,
        "perturbation_norm": 0.2629255850716221
      },
      {
        "cutoff": 24,
        "phases": [
          0,
          0.7,
          1.3
        ],
        "state_count": 15,
        "local_projector": 0.8048577204911617,
        "normalized_probe": 0.6880724094032854,
        "occupied_energy_sum": 41.041970258183156,
        "gap": 0.8241755033926612,
        "perturbation_norm": 0.27526064156891167
      },
      {
        "cutoff": 24,
        "phases": [
          0.4,
          1.1,
          -0.2
        ],
        "state_count": 15,
        "local_projector": 0.7919295570492103,
        "normalized_probe": 0.7042996386485344,
        "occupied_energy_sum": 40.773726748702686,
        "gap": 0.8265733848165118,
        "perturbation_norm": 0.26852149741983816
      },
      {
        "cutoff": 32,
        "phases": [
          0,
          0.7,
          1.3
        ],
        "state_count": 15,
        "local_projector": 0.8048576705265947,
        "normalized_probe": 0.6880724094027555,
        "occupied_energy_sum": 41.041970258176704,
        "gap": 0.8241755033349341,
        "perturbation_norm": 0.27760488843276526
      },
      {
        "cutoff": 32,
        "phases": [
          0.4,
          1.1,
          -0.2
        ],
        "state_count": 15,
        "local_projector": 0.791929598867602,
        "normalized_probe": 0.704299638648076,
        "occupied_energy_sum": 40.773726748693335,
        "gap": 0.8265733847924217,
        "perturbation_norm": 0.2713909913700769
      }
    ],
    "projector_derivative": {
      "projector_derivative_norm": 0.17415823632488311,
      "trace_derivative": -1.6886183931870561e-16,
      "probe_derivative": 0.015086436990759768,
      "finite_difference_error": 4.6086693042603204e-10
    }
  },
  "quasiperiodic": {
    "sites": 89,
    "alpha_numerator": 55,
    "hopping": 1,
    "onsite_cosine_amplitude": 1.4,
    "boundary": "periodic",
    "records": [
      {
        "phase": 0.0,
        "cutoff": -0.8917877369317126,
        "state_count": 34,
        "per_site_IDOS": 0.38202247191011235,
        "local_site_zero": 0.1147717872298216,
        "local_site_one": 0.6896224036901634,
        "channel_zero_one": -0.2000599804402704,
        "gap": 1.3040319353975671,
        "spectrum_change": 0.0
      },
      {
        "phase": 0.4,
        "cutoff": -0.8917877369317126,
        "state_count": 34,
        "per_site_IDOS": 0.38202247191011235,
        "local_site_zero": 0.11475724785897003,
        "local_site_one": 0.49882369013180117,
        "channel_zero_one": -0.15794769866999298,
        "gap": 1.3040319353870236,
        "spectrum_change": 1.0926917148879056e-09
      },
      {
        "phase": 0.9,
        "cutoff": -0.8917877369317126,
        "state_count": 34,
        "per_site_IDOS": 0.38202247191011235,
        "local_site_zero": 0.13076219725254934,
        "local_site_one": 0.2480606612182168,
        "channel_zero_one": -0.1037048748988514,
        "gap": 1.3040319353904848,
        "spectrum_change": 8.387943672971687e-10
      },
      {
        "phase": 3.882867324661542,
        "cutoff": -0.8917877369317126,
        "state_count": 34,
        "per_site_IDOS": 0.38202247191011235,
        "local_site_zero": 0.6896224036901557,
        "local_site_one": 0.2418577410402774,
        "channel_zero_one": -0.3908611946240294,
        "gap": 1.3040319353975667,
        "spectrum_change": 8.43769498715119e-15
      }
    ]
  },
  "checks": [
    {
      "label": "coordinate quadrature of plane wave",
      "error": 2.331570581120568e-15
    },
    {
      "label": "coordinate quadrature of plane wave",
      "error": 2.110251102400358e-15
    },
    {
      "label": "coordinate quadrature of plane wave",
      "error": 1.8323442443051943e-15
    },
    {
      "label": "oscillator count K=16, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "bounded perturbation K=16, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "oscillator count K=16, phases=(0.4, 1.1, -0.2)",
      "error": null
    },
    {
      "label": "bounded perturbation K=16, phases=(0.4, 1.1, -0.2)",
      "error": null
    },
    {
      "label": "oscillator count K=24, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "bounded perturbation K=24, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "oscillator count K=24, phases=(0.4, 1.1, -0.2)",
      "error": null
    },
    {
      "label": "bounded perturbation K=24, phases=(0.4, 1.1, -0.2)",
      "error": null
    },
    {
      "label": "oscillator count K=32, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "bounded perturbation K=32, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "oscillator count K=32, phases=(0.4, 1.1, -0.2)",
      "error": null
    },
    {
      "label": "bounded perturbation K=32, phases=(0.4, 1.1, -0.2)",
      "error": null
    },
    {
      "label": "oscillator refinement: local_projector",
      "error": 4.996456692829554e-08
    },
    {
      "label": "oscillator refinement: normalized_probe",
      "error": 5.299094496535872e-13
    },
    {
      "label": "oscillator refinement: occupied_energy_sum",
      "error": 6.45172804070171e-12
    },
    {
      "label": "oscillator refinement: local_projector",
      "error": 4.1818391638415164e-08
    },
    {
      "label": "oscillator refinement: normalized_probe",
      "error": 4.584110868677271e-13
    },
    {
      "label": "oscillator refinement: occupied_energy_sum",
      "error": 9.350742402602918e-12
    },
    {
      "label": "oscillator count K=18, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "bounded perturbation K=18, phases=(0, 0.7, 1.3)",
      "error": null
    },
    {
      "label": "rank derivative zero",
      "error": 1.6886183931870561e-16
    },
    {
      "label": "projector derivative tangent",
      "error": 2.2866258961898953e-16
    },
    {
      "label": "oscillator count K=18, phases=[0.0001, 0.7, 1.3]",
      "error": null
    },
    {
      "label": "bounded perturbation K=18, phases=[0.0001, 0.7, 1.3]",
      "error": null
    },
    {
      "label": "oscillator count K=18, phases=[-0.0001, 0.7, 1.3]",
      "error": null
    },
    {
      "label": "bounded perturbation K=18, phases=[-0.0001, 0.7, 1.3]",
      "error": null
    },
    {
      "label": "independent projector derivative",
      "error": 4.6086693042603204e-10
    },
    {
      "label": "projector changes at fixed count",
      "error": null
    },
    {
      "label": "quasiperiodic approximant gap count",
      "error": null
    },
    {
      "label": "quasiperiodic projector trace",
      "error": 7.105427357601002e-15
    },
    {
      "label": "quasiperiodic approximant gap count",
      "error": null
    },
    {
      "label": "quasiperiodic projector trace",
      "error": 7.105427357601002e-15
    },
    {
      "label": "quasiperiodic approximant gap count",
      "error": null
    },
    {
      "label": "quasiperiodic projector trace",
      "error": 7.105427357601002e-15
    },
    {
      "label": "quasiperiodic approximant gap count",
      "error": null
    },
    {
      "label": "quasiperiodic projector trace",
      "error": 0.0
    },
    {
      "label": "exact translated lattice operator",
      "error": 7.926992395823618e-14
    },
    {
      "label": "translated spectrum",
      "error": 8.43769498715119e-15
    },
    {
      "label": "fixed local probe changes",
      "error": null
    },
    {
      "label": "common translation covariance",
      "error": null
    }
  ],
  "checks_total": 43,
  "source_sha256": {
    "experiments/spectral_count_checks.py": "f5ddaa84d685a1bd13fae48ba732e5165db9f2c388d9249480ea8fd093aa6d3d",
    "experiments/idwt-v2.py": "e10b3169e0153d76317ae638bcfe16d27b1acfdebdf782bbf70bc16efbf785ca"
  }
}
